From 60f1bf48f0b4e3d7f1c31c8a72b4a6f1c1faa947 Mon Sep 17 00:00:00 2001 From: CentOS Sources Date: May 10 2022 07:00:29 +0000 Subject: import jq-1.6-3.el8 --- diff --git a/.gitignore b/.gitignore index 3fbf437..0a43424 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1 @@ -SOURCES/jq-1.5.tar.gz +SOURCES/jq-1.6.tar.gz diff --git a/.jq.metadata b/.jq.metadata index 0c9c074..ce15ee7 100644 --- a/.jq.metadata +++ b/.jq.metadata @@ -1 +1 @@ -6eef3705ac0a322e8aa0521c57ce339671838277 SOURCES/jq-1.5.tar.gz +02959bca30672e0dfe678e7b36464c8fb08ec389 SOURCES/jq-1.6.tar.gz diff --git a/SOURCES/0000-jq-decimal-literal-number.patch b/SOURCES/0000-jq-decimal-literal-number.patch new file mode 100644 index 0000000..d4bf326 --- /dev/null +++ b/SOURCES/0000-jq-decimal-literal-number.patch @@ -0,0 +1,27596 @@ +diff -Naur a/configure.ac b/configure.ac +--- a/configure.ac 2018-11-02 07:52:43.000000000 -0700 ++++ b/configure.ac 2021-09-29 10:19:48.704843762 -0700 +@@ -107,6 +107,14 @@ + fi + ]) + ++dnl Disable decNumber support ++AC_ARG_ENABLE([decnum], ++ AC_HELP_STRING([--disable-decnum], [disable decnum support])) ++ ++AS_IF([test "x$enable_decnum" != "xno"],[ ++ AC_DEFINE([USE_DECNUM],1) ++]) ++ + AM_CONDITIONAL([ENABLE_VALGRIND], [test "x$enable_valgrind" != xno]) + AM_CONDITIONAL([ENABLE_ASAN], [test "x$enable_asan" = xyes]) + AM_CONDITIONAL([ENABLE_UBSAN], [test "x$enable_ubsan" = xyes]) +@@ -132,17 +140,9 @@ + AC_CHECK_MEMBER([struct tm.__tm_gmtoff], [AC_DEFINE([HAVE_TM___TM_GMT_OFF],1,[Define to 1 if the system has the __tm_gmt_off field in struct tm])], + [], [[#include ]]) + +-AC_ARG_ENABLE([pthread-tls], +- [AC_HELP_STRING([--enable-pthread-tls], +- [Enable use of pthread thread local storage])], +- [], +- [enable_pthread_tls=no]) +- +-if test $enable_pthread_tls = yes; then +- AC_FIND_FUNC([pthread_key_create], [pthread], [#include ], [NULL, NULL]) +- AC_FIND_FUNC([pthread_once], [pthread], [#include ], [NULL, NULL]) +- AC_FIND_FUNC([atexit], [pthread], [#include ], [NULL]) +-fi ++AC_FIND_FUNC([pthread_key_create], [pthread], [#include ], [NULL, NULL]) ++AC_FIND_FUNC([pthread_once], [pthread], [#include ], [NULL, NULL]) ++AC_FIND_FUNC([atexit], [pthread], [#include ], [NULL]) + + dnl libm math.h functions + AC_CHECK_MATH_FUNC(acos) +diff -Naur a/COPYING b/COPYING +--- a/COPYING 2018-11-01 18:49:29.000000000 -0700 ++++ b/COPYING 2021-09-29 10:19:42.486809237 -0700 +@@ -68,3 +68,41 @@ + REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY + OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. + ++ ++ ++jq uses parts of the open source C library "decNumber", which is distribured ++under the following license: ++ ++ ++ICU License - ICU 1.8.1 and later ++ ++COPYRIGHT AND PERMISSION NOTICE ++ ++Copyright (c) 1995-2005 International Business Machines Corporation and others ++All rights reserved. ++ ++Permission is hereby granted, free of charge, to any person obtaining a ++copy of this software and associated documentation files (the ++"Software"), to deal in the Software without restriction, including ++without limitation the rights to use, copy, modify, merge, publish, ++distribute, and/or sell copies of the Software, and to permit persons ++to whom the Software is furnished to do so, provided that the above ++copyright notice(s) and this permission notice appear in all copies of ++the Software and that both the above copyright notice(s) and this ++permission notice appear in supporting documentation. ++ ++THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS ++OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF ++MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT ++OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR ++HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL ++INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING ++FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, ++NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION ++WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. ++ ++Except as contained in this notice, the name of a copyright holder ++shall not be used in advertising or otherwise to promote the sale, use ++or other dealings in this Software without prior written authorization ++of the copyright holder. ++ +diff -Naur a/Makefile.am b/Makefile.am +--- a/Makefile.am 2018-11-01 18:49:29.000000000 -0700 ++++ b/Makefile.am 2021-09-29 10:21:51.152523679 -0700 +@@ -11,6 +11,8 @@ + src/jq_test.c src/jv.c src/jv_alloc.c src/jv_aux.c \ + src/jv_dtoa.c src/jv_file.c src/jv_parse.c src/jv_print.c \ + src/jv_unicode.c src/linker.c src/locfile.c src/util.c \ ++ src/decNumber/decContext.c src/decNumber/decNumber.c \ ++ src/jv_dtoa_tsd.c \ + ${LIBJQ_INCS} + + ### C build options +@@ -170,9 +172,10 @@ + tests/modules/test_bind_order.jq \ + tests/modules/test_bind_order0.jq \ + tests/modules/test_bind_order1.jq \ +- tests/modules/test_bind_order2.jq tests/onig.supp \ +- tests/onig.test tests/setup tests/torture/input0.json \ +- tests/optional.test tests/optionaltest \ ++ tests/modules/test_bind_order2.jq \ ++ tests/onig.supp tests/local.supp \ ++ tests/onig.test tests/setup tests/torture/input0.json \ ++ tests/optional.test tests/optionaltest \ + tests/utf8-truncate.jq tests/utf8test \ + tests/base64.test tests/base64test \ + tests/jq-f-test.sh tests/shtest +diff -Naur a/src/builtin.c b/src/builtin.c +--- a/src/builtin.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/builtin.c 2021-09-29 10:19:48.686843662 -0700 +@@ -87,8 +87,11 @@ + jv_free(b); + return a; + } else if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) { +- return jv_number(jv_number_value(a) + ++ jv r = jv_number(jv_number_value(a) + + jv_number_value(b)); ++ jv_free(a); ++ jv_free(b); ++ return r; + } else if (jv_get_kind(a) == JV_KIND_STRING && jv_get_kind(b) == JV_KIND_STRING) { + return jv_string_concat(a, b); + } else if (jv_get_kind(a) == JV_KIND_ARRAY && jv_get_kind(b) == JV_KIND_ARRAY) { +@@ -271,7 +274,10 @@ + static jv f_minus(jq_state *jq, jv input, jv a, jv b) { + jv_free(input); + if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) { +- return jv_number(jv_number_value(a) - jv_number_value(b)); ++ jv r = jv_number(jv_number_value(a) - jv_number_value(b)); ++ jv_free(a); ++ jv_free(b); ++ return r; + } else if (jv_get_kind(a) == JV_KIND_ARRAY && jv_get_kind(b) == JV_KIND_ARRAY) { + jv out = jv_array(); + jv_array_foreach(a, i, x) { +@@ -299,7 +305,10 @@ + jv_kind bk = jv_get_kind(b); + jv_free(input); + if (ak == JV_KIND_NUMBER && bk == JV_KIND_NUMBER) { +- return jv_number(jv_number_value(a) * jv_number_value(b)); ++ jv r = jv_number(jv_number_value(a) * jv_number_value(b)); ++ jv_free(a); ++ jv_free(b); ++ return r; + } else if ((ak == JV_KIND_STRING && bk == JV_KIND_NUMBER) || + (ak == JV_KIND_NUMBER && bk == JV_KIND_STRING)) { + jv str = a; +@@ -333,7 +342,10 @@ + if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) { + if (jv_number_value(b) == 0.0) + return type_error2(a, b, "cannot be divided because the divisor is zero"); +- return jv_number(jv_number_value(a) / jv_number_value(b)); ++ jv r = jv_number(jv_number_value(a) / jv_number_value(b)); ++ jv_free(a); ++ jv_free(b); ++ return r; + } else if (jv_get_kind(a) == JV_KIND_STRING && jv_get_kind(b) == JV_KIND_STRING) { + return jv_string_split(a, b); + } else { +@@ -346,7 +358,10 @@ + if (jv_get_kind(a) == JV_KIND_NUMBER && jv_get_kind(b) == JV_KIND_NUMBER) { + if ((intmax_t)jv_number_value(b) == 0) + return type_error2(a, b, "cannot be divided (remainder) because the divisor is zero"); +- return jv_number((intmax_t)jv_number_value(a) % (intmax_t)jv_number_value(b)); ++ jv r = jv_number((intmax_t)jv_number_value(a) % (intmax_t)jv_number_value(b)); ++ jv_free(a); ++ jv_free(b); ++ return r; + } else { + return type_error2(a, b, "cannot be divided (remainder)"); + } +@@ -437,7 +452,9 @@ + } else if (jv_get_kind(input) == JV_KIND_STRING) { + return jv_number(jv_string_length_codepoints(input)); + } else if (jv_get_kind(input) == JV_KIND_NUMBER) { +- return jv_number(fabs(jv_number_value(input))); ++ jv r = jv_number(fabs(jv_number_value(input))); ++ jv_free(input); ++ return r; + } else if (jv_get_kind(input) == JV_KIND_NULL) { + jv_free(input); + return jv_number(0); +diff -Naur a/src/decNumber/decBasic.c b/src/decNumber/decBasic.c +--- a/src/decNumber/decBasic.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decBasic.c 2021-09-29 10:19:45.798827627 -0700 +@@ -0,0 +1,3908 @@ ++/* ------------------------------------------------------------------ */ ++/* decBasic.c -- common base code for Basic decimal types */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises code that is shared between decDouble and */ ++/* decQuad (but not decSingle). The main arithmetic operations are */ ++/* here (Add, Subtract, Multiply, FMA, and Division operators). */ ++/* */ ++/* Unlike decNumber, parameterization takes place at compile time */ ++/* rather than at runtime. The parameters are set in the decDouble.c */ ++/* (etc.) files, which then include this one to produce the compiled */ ++/* code. The functions here, therefore, are code shared between */ ++/* multiple formats. */ ++/* */ ++/* This must be included after decCommon.c. */ ++/* ------------------------------------------------------------------ */ ++// Names here refer to decFloat rather than to decDouble, etc., and ++// the functions are in strict alphabetical order. ++ ++// The compile-time flags SINGLE, DOUBLE, and QUAD are set up in ++// decCommon.c ++#if !defined(QUAD) ++ #error decBasic.c must be included after decCommon.c ++#endif ++#if SINGLE ++ #error Routines in decBasic.c are for decDouble and decQuad only ++#endif ++ ++/* Private constants */ ++#define DIVIDE 0x80000000 // Divide operations [as flags] ++#define REMAINDER 0x40000000 // .. ++#define DIVIDEINT 0x20000000 // .. ++#define REMNEAR 0x10000000 // .. ++ ++/* Private functions (local, used only by routines in this module) */ ++static decFloat *decDivide(decFloat *, const decFloat *, ++ const decFloat *, decContext *, uInt); ++static decFloat *decCanonical(decFloat *, const decFloat *); ++static void decFiniteMultiply(bcdnum *, uByte *, const decFloat *, ++ const decFloat *); ++static decFloat *decInfinity(decFloat *, const decFloat *); ++static decFloat *decInvalid(decFloat *, decContext *); ++static decFloat *decNaNs(decFloat *, const decFloat *, const decFloat *, ++ decContext *); ++static Int decNumCompare(const decFloat *, const decFloat *, Flag); ++static decFloat *decToIntegral(decFloat *, const decFloat *, decContext *, ++ enum rounding, Flag); ++static uInt decToInt32(const decFloat *, decContext *, enum rounding, ++ Flag, Flag); ++ ++/* ------------------------------------------------------------------ */ ++/* decCanonical -- copy a decFloat, making canonical */ ++/* */ ++/* result gets the canonicalized df */ ++/* df is the decFloat to copy and make canonical */ ++/* returns result */ ++/* */ ++/* This is exposed via decFloatCanonical for Double and Quad only. */ ++/* This works on specials, too; no error or exception is possible. */ ++/* ------------------------------------------------------------------ */ ++static decFloat * decCanonical(decFloat *result, const decFloat *df) { ++ uInt encode, precode, dpd; // work ++ uInt inword, uoff, canon; // .. ++ Int n; // counter (down) ++ if (df!=result) *result=*df; // effect copy if needed ++ if (DFISSPECIAL(result)) { ++ if (DFISINF(result)) return decInfinity(result, df); // clean Infinity ++ // is a NaN ++ DFWORD(result, 0)&=~ECONNANMASK; // clear ECON except selector ++ if (DFISCCZERO(df)) return result; // coefficient continuation is 0 ++ // drop through to check payload ++ } ++ // return quickly if the coefficient continuation is canonical ++ { // declare block ++ #if DOUBLE ++ uInt sourhi=DFWORD(df, 0); ++ uInt sourlo=DFWORD(df, 1); ++ if (CANONDPDOFF(sourhi, 8) ++ && CANONDPDTWO(sourhi, sourlo, 30) ++ && CANONDPDOFF(sourlo, 20) ++ && CANONDPDOFF(sourlo, 10) ++ && CANONDPDOFF(sourlo, 0)) return result; ++ #elif QUAD ++ uInt sourhi=DFWORD(df, 0); ++ uInt sourmh=DFWORD(df, 1); ++ uInt sourml=DFWORD(df, 2); ++ uInt sourlo=DFWORD(df, 3); ++ if (CANONDPDOFF(sourhi, 4) ++ && CANONDPDTWO(sourhi, sourmh, 26) ++ && CANONDPDOFF(sourmh, 16) ++ && CANONDPDOFF(sourmh, 6) ++ && CANONDPDTWO(sourmh, sourml, 28) ++ && CANONDPDOFF(sourml, 18) ++ && CANONDPDOFF(sourml, 8) ++ && CANONDPDTWO(sourml, sourlo, 30) ++ && CANONDPDOFF(sourlo, 20) ++ && CANONDPDOFF(sourlo, 10) ++ && CANONDPDOFF(sourlo, 0)) return result; ++ #endif ++ } // block ++ ++ // Loop to repair a non-canonical coefficent, as needed ++ inword=DECWORDS-1; // current input word ++ uoff=0; // bit offset of declet ++ encode=DFWORD(result, inword); ++ for (n=DECLETS-1; n>=0; n--) { // count down declets of 10 bits ++ dpd=encode>>uoff; ++ uoff+=10; ++ if (uoff>32) { // crossed uInt boundary ++ inword--; ++ encode=DFWORD(result, inword); ++ uoff-=32; ++ dpd|=encode<<(10-uoff); // get pending bits ++ } ++ dpd&=0x3ff; // clear uninteresting bits ++ if (dpd<0x16e) continue; // must be canonical ++ canon=BIN2DPD[DPD2BIN[dpd]]; // determine canonical declet ++ if (canon==dpd) continue; // have canonical declet ++ // need to replace declet ++ if (uoff>=10) { // all within current word ++ encode&=~(0x3ff<<(uoff-10)); // clear the 10 bits ready for replace ++ encode|=canon<<(uoff-10); // insert the canonical form ++ DFWORD(result, inword)=encode; // .. and save ++ continue; ++ } ++ // straddled words ++ precode=DFWORD(result, inword+1); // get previous ++ precode&=0xffffffff>>(10-uoff); // clear top bits ++ DFWORD(result, inword+1)=precode|(canon<<(32-(10-uoff))); ++ encode&=0xffffffff<>(10-uoff); // insert canonical ++ DFWORD(result, inword)=encode; // .. and save ++ } // n ++ return result; ++ } // decCanonical ++ ++/* ------------------------------------------------------------------ */ ++/* decDivide -- divide operations */ ++/* */ ++/* result gets the result of dividing dfl by dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* op is the operation selector */ ++/* returns result */ ++/* */ ++/* op is one of DIVIDE, REMAINDER, DIVIDEINT, or REMNEAR. */ ++/* ------------------------------------------------------------------ */ ++#define DIVCOUNT 0 // 1 to instrument subtractions counter ++#define DIVBASE ((uInt)BILLION) // the base used for divide ++#define DIVOPLEN DECPMAX9 // operand length ('digits' base 10**9) ++#define DIVACCLEN (DIVOPLEN*3) // accumulator length (ditto) ++static decFloat * decDivide(decFloat *result, const decFloat *dfl, ++ const decFloat *dfr, decContext *set, uInt op) { ++ decFloat quotient; // for remainders ++ bcdnum num; // for final conversion ++ uInt acc[DIVACCLEN]; // coefficent in base-billion .. ++ uInt div[DIVOPLEN]; // divisor in base-billion .. ++ uInt quo[DIVOPLEN+1]; // quotient in base-billion .. ++ uByte bcdacc[(DIVOPLEN+1)*9+2]; // for quotient in BCD, +1, +1 ++ uInt *msua, *msud, *msuq; // -> msu of acc, div, and quo ++ Int divunits, accunits; // lengths ++ Int quodigits; // digits in quotient ++ uInt *lsua, *lsuq; // -> current acc and quo lsus ++ Int length, multiplier; // work ++ uInt carry, sign; // .. ++ uInt *ua, *ud, *uq; // .. ++ uByte *ub; // .. ++ uInt uiwork; // for macros ++ uInt divtop; // top unit of div adjusted for estimating ++ #if DIVCOUNT ++ static uInt maxcount=0; // worst-seen subtractions count ++ uInt divcount=0; // subtractions count [this divide] ++ #endif ++ ++ // calculate sign ++ num.sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign; ++ ++ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special? ++ // NaNs are handled as usual ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ // one or two infinities ++ if (DFISINF(dfl)) { ++ if (DFISINF(dfr)) return decInvalid(result, set); // Two infinities bad ++ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // as is rem ++ // Infinity/x is infinite and quiet, even if x=0 ++ DFWORD(result, 0)=num.sign; ++ return decInfinity(result, result); ++ } ++ // must be x/Infinity -- remainders are lhs ++ if (op&(REMAINDER|REMNEAR)) return decCanonical(result, dfl); ++ // divides: return zero with correct sign and exponent depending ++ // on op (Etiny for divide, 0 for divideInt) ++ decFloatZero(result); ++ if (op==DIVIDEINT) DFWORD(result, 0)|=num.sign; // add sign ++ else DFWORD(result, 0)=num.sign; // zeros the exponent, too ++ return result; ++ } ++ // next, handle zero operands (x/0 and 0/x) ++ if (DFISZERO(dfr)) { // x/0 ++ if (DFISZERO(dfl)) { // 0/0 is undefined ++ decFloatZero(result); ++ DFWORD(result, 0)=DECFLOAT_qNaN; ++ set->status|=DEC_Division_undefined; ++ return result; ++ } ++ if (op&(REMAINDER|REMNEAR)) return decInvalid(result, set); // bad rem ++ set->status|=DEC_Division_by_zero; ++ DFWORD(result, 0)=num.sign; ++ return decInfinity(result, result); // x/0 -> signed Infinity ++ } ++ num.exponent=GETEXPUN(dfl)-GETEXPUN(dfr); // ideal exponent ++ if (DFISZERO(dfl)) { // 0/x (x!=0) ++ // if divide, result is 0 with ideal exponent; divideInt has ++ // exponent=0, remainders give zero with lower exponent ++ if (op&DIVIDEINT) { ++ decFloatZero(result); ++ DFWORD(result, 0)|=num.sign; // add sign ++ return result; ++ } ++ if (!(op&DIVIDE)) { // a remainder ++ // exponent is the minimum of the operands ++ num.exponent=MINI(GETEXPUN(dfl), GETEXPUN(dfr)); ++ // if the result is zero the sign shall be sign of dfl ++ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign; ++ } ++ bcdacc[0]=0; ++ num.msd=bcdacc; // -> 0 ++ num.lsd=bcdacc; // .. ++ return decFinalize(result, &num, set); // [divide may clamp exponent] ++ } // 0/x ++ // [here, both operands are known to be finite and non-zero] ++ ++ // extract the operand coefficents into 'units' which are ++ // base-billion; the lhs is high-aligned in acc and the msu of both ++ // acc and div is at the right-hand end of array (offset length-1); ++ // the quotient can need one more unit than the operands as digits ++ // in it are not necessarily aligned neatly; further, the quotient ++ // may not start accumulating until after the end of the initial ++ // operand in acc if that is small (e.g., 1) so the accumulator ++ // must have at least that number of units extra (at the ls end) ++ GETCOEFFBILL(dfl, acc+DIVACCLEN-DIVOPLEN); ++ GETCOEFFBILL(dfr, div); ++ // zero the low uInts of acc ++ acc[0]=0; ++ acc[1]=0; ++ acc[2]=0; ++ acc[3]=0; ++ #if DOUBLE ++ #if DIVOPLEN!=2 ++ #error Unexpected Double DIVOPLEN ++ #endif ++ #elif QUAD ++ acc[4]=0; ++ acc[5]=0; ++ acc[6]=0; ++ acc[7]=0; ++ #if DIVOPLEN!=4 ++ #error Unexpected Quad DIVOPLEN ++ #endif ++ #endif ++ ++ // set msu and lsu pointers ++ msua=acc+DIVACCLEN-1; // [leading zeros removed below] ++ msuq=quo+DIVOPLEN; ++ //[loop for div will terminate because operands are non-zero] ++ for (msud=div+DIVOPLEN-1; *msud==0;) msud--; ++ // the initial least-significant unit of acc is set so acc appears ++ // to have the same length as div. ++ // This moves one position towards the least possible for each ++ // iteration ++ divunits=(Int)(msud-div+1); // precalculate ++ lsua=msua-divunits+1; // initial working lsu of acc ++ lsuq=msuq; // and of quo ++ ++ // set up the estimator for the multiplier; this is the msu of div, ++ // plus two bits from the unit below (if any) rounded up by one if ++ // there are any non-zero bits or units below that [the extra two ++ // bits makes for a much better estimate when the top unit is small] ++ divtop=*msud<<2; ++ if (divunits>1) { ++ uInt *um=msud-1; ++ uInt d=*um; ++ if (d>=750000000) {divtop+=3; d-=750000000;} ++ else if (d>=500000000) {divtop+=2; d-=500000000;} ++ else if (d>=250000000) {divtop++; d-=250000000;} ++ if (d) divtop++; ++ else for (um--; um>=div; um--) if (*um) { ++ divtop++; ++ break; ++ } ++ } // >1 unit ++ ++ #if DECTRACE ++ {Int i; ++ printf("----- div="); ++ for (i=divunits-1; i>=0; i--) printf("%09ld ", (LI)div[i]); ++ printf("\n");} ++ #endif ++ ++ // now collect up to DECPMAX+1 digits in the quotient (this may ++ // need OPLEN+1 uInts if unaligned) ++ quodigits=0; // no digits yet ++ for (;; lsua--) { // outer loop -- each input position ++ #if DECCHECK ++ if (lsua=lsua;) msua--; ++ accunits=(Int)(msua-lsua+1); // [maybe 0] ++ // subtraction is only necessary and possible if there are as ++ // least as many units remaining in acc for this iteration as ++ // there are in div ++ if (accunitsdiv: subtraction necessary at this position ++ for (ud=msud, ua=msua; ud>div; ud--, ua--) if (*ud!=*ua) break; ++ // [now at first mismatch or lsu] ++ if (*ud>*ua) break; // next time... ++ if (*ud==*ua) { // all compared equal ++ *lsuq+=1; // increment result ++ msua=lsua; // collapse acc units ++ *msua=0; // .. to a zero ++ break; ++ } ++ ++ // subtraction necessary; estimate multiplier [see above] ++ // if both *msud and *msua are small it is cost-effective to ++ // bring in part of the following units (if any) to get a ++ // better estimate (assume some other non-zero in div) ++ #define DIVLO 1000000U ++ #define DIVHI (DIVBASE/DIVLO) ++ #if DECUSE64 ++ if (divunits>1) { ++ // there cannot be a *(msud-2) for DECDOUBLE so next is ++ // an exact calculation unless DECQUAD (which needs to ++ // assume bits out there if divunits>2) ++ uLong mul=(uLong)*msua * DIVBASE + *(msua-1); ++ uLong div=(uLong)*msud * DIVBASE + *(msud-1); ++ #if QUAD ++ if (divunits>2) div++; ++ #endif ++ mul/=div; ++ multiplier=(Int)mul; ++ } ++ else multiplier=*msua/(*msud); ++ #else ++ if (divunits>1 && *msuadivunits ++ // msud is one unit 'lower' than msua, so estimate differently ++ #if DECUSE64 ++ uLong mul; ++ // as before, bring in extra digits if possible ++ if (divunits>1 && *msua>DIVSHIFTA); ++ carry=(uInt)(((uLong)hop*DIVMAGIC)>>DIVSHIFTB); ++ // the estimate is now in hi; now calculate sub-hi*10**9 ++ // to get the remainder (which will be =DIVBASE) { ++ lo-=DIVBASE; // correct by +1 ++ carry++; ++ } ++ } ++ #else // 32-bit ++ uInt hi; ++ // calculate multiplier*(*ud) into hi and lo ++ LONGMUL32HI(hi, *ud, multiplier); // get the high word ++ lo=multiplier*(*ud); // .. and the low ++ lo+=carry; // add the old hi ++ carry=hi+(lo=DIVBASE) { // split is needed ++ hop=(carry<<3)+(lo>>DIVSHIFTA); // hi:lo/2**29 ++ LONGMUL32HI(carry, hop, DIVMAGIC); // only need the high word ++ // [DIVSHIFTB is 32, so carry can be used directly] ++ // the estimate is now in carry; now calculate hi:lo-est*10**9; ++ // happily the top word of the result is irrelevant because it ++ // will always be zero so this needs only one multiplication ++ lo-=(carry*DIVBASE); ++ // the correction here will be at most +1; do it ++ if (lo>=DIVBASE) { ++ lo-=DIVBASE; ++ carry++; ++ } ++ } ++ #endif ++ if (lo>*ua) { // borrow needed ++ *ua+=DIVBASE; ++ carry++; ++ } ++ *ua-=lo; ++ } // ud loop ++ if (carry) *ua-=carry; // accdigits>divdigits [cannot borrow] ++ } // inner loop ++ ++ // the outer loop terminates when there is either an exact result ++ // or enough digits; first update the quotient digit count and ++ // pointer (if any significant digits) ++ #if DECTRACE ++ if (*lsuq || quodigits) printf("*lsuq=%09ld\n", (LI)*lsuq); ++ #endif ++ if (quodigits) { ++ quodigits+=9; // had leading unit earlier ++ lsuq--; ++ if (quodigits>DECPMAX+1) break; // have enough ++ } ++ else if (*lsuq) { // first quotient digits ++ const uInt *pow; ++ for (pow=DECPOWERS; *lsuq>=*pow; pow++) quodigits++; ++ lsuq--; ++ // [cannot have >DECPMAX+1 on first unit] ++ } ++ ++ if (*msua!=0) continue; // not an exact result ++ // acc is zero iff used all of original units and zero down to lsua ++ // (must also continue to original lsu for correct quotient length) ++ if (lsua>acc+DIVACCLEN-DIVOPLEN) continue; ++ for (; msua>lsua && *msua==0;) msua--; ++ if (*msua==0 && msua==lsua) break; ++ } // outer loop ++ ++ // all of the original operand in acc has been covered at this point ++ // quotient now has at least DECPMAX+2 digits ++ // *msua is now non-0 if inexact and sticky bits ++ // lsuq is one below the last uint of the quotient ++ lsuq++; // set -> true lsu of quo ++ if (*msua) *lsuq|=1; // apply sticky bit ++ ++ // quo now holds the (unrounded) quotient in base-billion; one ++ // base-billion 'digit' per uInt. ++ #if DECTRACE ++ printf("DivQuo:"); ++ for (uq=msuq; uq>=lsuq; uq--) printf(" %09ld", (LI)*uq); ++ printf("\n"); ++ #endif ++ ++ // Now convert to BCD for rounding and cleanup, starting from the ++ // most significant end [offset by one into bcdacc to leave room ++ // for a possible carry digit if rounding for REMNEAR is needed] ++ for (uq=msuq, ub=bcdacc+1; uq>=lsuq; uq--, ub+=9) { ++ uInt top, mid, rem; // work ++ if (*uq==0) { // no split needed ++ UBFROMUI(ub, 0); // clear 9 BCD8s ++ UBFROMUI(ub+4, 0); // .. ++ *(ub+8)=0; // .. ++ continue; ++ } ++ // *uq is non-zero -- split the base-billion digit into ++ // hi, mid, and low three-digits ++ #define divsplit9 1000000 // divisor ++ #define divsplit6 1000 // divisor ++ // The splitting is done by simple divides and remainders, ++ // assuming the compiler will optimize these [GCC does] ++ top=*uq/divsplit9; ++ rem=*uq%divsplit9; ++ mid=rem/divsplit6; ++ rem=rem%divsplit6; ++ // lay out the nine BCD digits (plus one unwanted byte) ++ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4])); ++ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4])); ++ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4])); ++ } // BCD conversion loop ++ ub--; // -> lsu ++ ++ // complete the bcdnum; quodigits is correct, so the position of ++ // the first non-zero is known ++ num.msd=bcdacc+1+(msuq-lsuq+1)*9-quodigits; ++ num.lsd=ub; ++ ++ // make exponent adjustments, etc ++ if (lsuamaxcount) { // new high-water nark ++ maxcount=divcount; ++ printf("DivNewMaxCount: %ld\n", (LI)maxcount); ++ } ++ #endif ++ ++ if (op&DIVIDE) return decFinalize(result, &num, set); // all done ++ ++ // Is DIVIDEINT or a remainder; there is more to do -- first form ++ // the integer (this is done 'after the fact', unlike as in ++ // decNumber, so as not to tax DIVIDE) ++ ++ // The first non-zero digit will be in the first 9 digits, known ++ // from quodigits and num.msd, so there is always space for DECPMAX ++ // digits ++ ++ length=(Int)(num.lsd-num.msd+1); ++ //printf("Length exp: %ld %ld\n", (LI)length, (LI)num.exponent); ++ ++ if (length+num.exponent>DECPMAX) { // cannot fit ++ decFloatZero(result); ++ DFWORD(result, 0)=DECFLOAT_qNaN; ++ set->status|=DEC_Division_impossible; ++ return result; ++ } ++ ++ if (num.exponent>=0) { // already an int, or need pad zeros ++ for (ub=num.lsd+1; ub<=num.lsd+num.exponent; ub++) *ub=0; ++ num.lsd+=num.exponent; ++ } ++ else { // too long: round or truncate needed ++ Int drop=-num.exponent; ++ if (!(op&REMNEAR)) { // simple truncate ++ num.lsd-=drop; ++ if (num.lsd re-round digit ++ uByte reround; // reround value ++ *(num.msd-1)=0; // in case of left carry, or make 0 ++ if (drop 0] ++ reround=*roundat; ++ for (ub=roundat+1; ub<=num.lsd; ub++) { ++ if (*ub!=0) { ++ reround=DECSTICKYTAB[reround]; ++ break; ++ } ++ } // check stickies ++ if (roundat>num.msd) num.lsd=roundat-1; ++ else { ++ num.msd--; // use the 0 .. ++ num.lsd=num.msd; // .. at the new MSD place ++ } ++ if (reround!=0) { // discarding non-zero ++ uInt bump=0; ++ // rounding is DEC_ROUND_HALF_EVEN always ++ if (reround>5) bump=1; // >0.5 goes up ++ else if (reround==5) // exactly 0.5000 .. ++ bump=*(num.lsd) & 0x01; // .. up iff [new] lsd is odd ++ if (bump!=0) { // need increment ++ // increment the coefficient; this might end up with 1000... ++ ub=num.lsd; ++ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0); ++ for (; *ub==9; ub--) *ub=0; // at most 3 more ++ *ub+=1; ++ if (ub9 ++ #error Exponent may overflow when doubled for Multiply ++#endif ++#if MULACCLEN!=(MULACCLEN/4)*4 ++ // This assumption is used below only for initialization ++ #error MULACCLEN is not a multiple of 4 ++#endif ++ ++static void decFiniteMultiply(bcdnum *num, uByte *bcdacc, ++ const decFloat *dfl, const decFloat *dfr) { ++ uInt bufl[MULOPLEN]; // left coefficient (base-billion) ++ uInt bufr[MULOPLEN]; // right coefficient (base-billion) ++ uInt *ui, *uj; // work ++ uByte *ub; // .. ++ uInt uiwork; // for macros ++ ++ #if DECUSE64 ++ uLong accl[MULACCLEN]; // lazy accumulator (base-billion+) ++ uLong *pl; // work -> lazy accumulator ++ uInt acc[MULACCLEN]; // coefficent in base-billion .. ++ #else ++ uInt acc[MULACCLEN*2]; // accumulator in base-billion .. ++ #endif ++ uInt *pa; // work -> accumulator ++ //printf("Base10**9: OpLen=%d MulAcclen=%d\n", OPLEN, MULACCLEN); ++ ++ /* Calculate sign and exponent */ ++ num->sign=(DFWORD(dfl, 0)^DFWORD(dfr, 0)) & DECFLOAT_Sign; ++ num->exponent=GETEXPUN(dfl)+GETEXPUN(dfr); // [see assertion above] ++ ++ /* Extract the coefficients and prepare the accumulator */ ++ // the coefficients of the operands are decoded into base-billion ++ // numbers in uInt arrays (bufl and bufr, LSD at offset 0) of the ++ // appropriate size. ++ GETCOEFFBILL(dfl, bufl); ++ GETCOEFFBILL(dfr, bufr); ++ #if DECTRACE && 0 ++ printf("CoeffbL:"); ++ for (ui=bufl+MULOPLEN-1; ui>=bufl; ui--) printf(" %08lx", (LI)*ui); ++ printf("\n"); ++ printf("CoeffbR:"); ++ for (uj=bufr+MULOPLEN-1; uj>=bufr; uj--) printf(" %08lx", (LI)*uj); ++ printf("\n"); ++ #endif ++ ++ // start the 64-bit/32-bit differing paths... ++#if DECUSE64 ++ ++ // zero the accumulator ++ #if MULACCLEN==4 ++ accl[0]=0; accl[1]=0; accl[2]=0; accl[3]=0; ++ #else // use a loop ++ // MULACCLEN is a multiple of four, asserted above ++ for (pl=accl; pl1 may be ++ // needed. Values of A and B are chosen to satisfy the constraints ++ // just mentioned while minimizing the maximum error (and hence the ++ // maximum correction), as shown in the following table: ++ // ++ // Type OPLEN A B maxX maxError maxCorrection ++ // --------------------------------------------------------- ++ // DOUBLE 2 29 32 <2*10**18 0.63 1 ++ // QUAD 4 30 31 <4*10**18 1.17 2 ++ // ++ // In the OPLEN==2 case there is most choice, but the value for B ++ // of 32 has a big advantage as then the calculation of the ++ // estimate requires no shifting; the compiler can extract the high ++ // word directly after multiplying magic*hop. ++ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases] ++ #if DOUBLE ++ #define MULSHIFTA 29 ++ #define MULSHIFTB 32 ++ #elif QUAD ++ #define MULSHIFTA 30 ++ #define MULSHIFTB 31 ++ #else ++ #error Unexpected type ++ #endif ++ ++ #if DECTRACE ++ printf("MulAccl:"); ++ for (pl=accl+MULACCLEN-1; pl>=accl; pl--) ++ printf(" %08lx:%08lx", (LI)(*pl>>32), (LI)(*pl&0xffffffff)); ++ printf("\n"); ++ #endif ++ ++ for (pl=accl, pa=acc; pl=MULTBASE) { ++ // *pl holds a binary number which needs to be split ++ hop=(uInt)(*pl>>MULSHIFTA); ++ est=(uInt)(((uLong)hop*MULMAGIC)>>MULSHIFTB); ++ // the estimate is now in est; now calculate hi:lo-est*10**9; ++ // happily the top word of the result is irrelevant because it ++ // will always be zero so this needs only one multiplication ++ lo=(uInt)(*pl-((uLong)est*MULTBASE)); // low word of result ++ // If QUAD, the correction here could be +2 ++ if (lo>=MULTBASE) { ++ lo-=MULTBASE; // correct by +1 ++ est++; ++ #if QUAD ++ // may need to correct by +2 ++ if (lo>=MULTBASE) { ++ lo-=MULTBASE; ++ est++; ++ } ++ #endif ++ } ++ // finally place lo as the new coefficient 'digit' and add est to ++ // the next place up [this is safe because this path is never ++ // taken on the final iteration as *pl will fit] ++ *pa=lo; ++ *(pl+1)+=est; ++ } // *pl needed split ++ else { // *pl1 may be ++ // needed. Values of A and B are chosen to satisfy the constraints ++ // just mentioned while minimizing the maximum error (and hence the ++ // maximum correction), as shown in the following table: ++ // ++ // Type OPLEN A B maxX maxError maxCorrection ++ // --------------------------------------------------------- ++ // DOUBLE 2 29 32 <2*10**18 0.63 1 ++ // QUAD 4 30 31 <4*10**18 1.17 2 ++ // ++ // In the OPLEN==2 case there is most choice, but the value for B ++ // of 32 has a big advantage as then the calculation of the ++ // estimate requires no shifting; the high word is simply ++ // calculated from multiplying magic*hop. ++ #define MULMAGIC 2305843009U // 2**61/10**9 [both cases] ++ #if DOUBLE ++ #define MULSHIFTA 29 ++ #define MULSHIFTB 32 ++ #elif QUAD ++ #define MULSHIFTA 30 ++ #define MULSHIFTB 31 ++ #else ++ #error Unexpected type ++ #endif ++ ++ #if DECTRACE ++ printf("MulHiLo:"); ++ for (pa=acc+MULACCLEN-1; pa>=acc; pa--) ++ printf(" %08lx:%08lx", (LI)*(pa+MULACCLEN), (LI)*pa); ++ printf("\n"); ++ #endif ++ ++ for (pa=acc;; pa++) { // each low uInt ++ uInt hi, lo; // words of exact multiply result ++ uInt hop, estlo; // work ++ #if QUAD ++ uInt esthi; // .. ++ #endif ++ ++ lo=*pa; ++ hi=*(pa+MULACCLEN); // top 32 bits ++ // hi and lo now hold a binary number which needs to be split ++ ++ #if DOUBLE ++ hop=(hi<<3)+(lo>>MULSHIFTA); // hi:lo/2**29 ++ LONGMUL32HI(estlo, hop, MULMAGIC);// only need the high word ++ // [MULSHIFTB is 32, so estlo can be used directly] ++ // the estimate is now in estlo; now calculate hi:lo-est*10**9; ++ // happily the top word of the result is irrelevant because it ++ // will always be zero so this needs only one multiplication ++ lo-=(estlo*MULTBASE); ++ // esthi=0; // high word is ignored below ++ // the correction here will be at most +1; do it ++ if (lo>=MULTBASE) { ++ lo-=MULTBASE; ++ estlo++; ++ } ++ #elif QUAD ++ hop=(hi<<2)+(lo>>MULSHIFTA); // hi:lo/2**30 ++ LONGMUL32HI(esthi, hop, MULMAGIC);// shift will be 31 .. ++ estlo=hop*MULMAGIC; // .. so low word needed ++ estlo=(esthi<<1)+(estlo>>MULSHIFTB); // [just the top bit] ++ // esthi=0; // high word is ignored below ++ lo-=(estlo*MULTBASE); // as above ++ // the correction here could be +1 or +2 ++ if (lo>=MULTBASE) { ++ lo-=MULTBASE; ++ estlo++; ++ } ++ if (lo>=MULTBASE) { ++ lo-=MULTBASE; ++ estlo++; ++ } ++ #else ++ #error Unexpected type ++ #endif ++ ++ // finally place lo as the new accumulator digit and add est to ++ // the next place up; this latter add could cause a carry of 1 ++ // to the high word of the next place ++ *pa=lo; ++ *(pa+1)+=estlo; ++ // esthi is always 0 for DOUBLE and QUAD so this is skipped ++ // *(pa+1+MULACCLEN)+=esthi; ++ if (*(pa+1)=acc; pa--) printf(" %09ld", (LI)*pa); ++ printf("\n"); ++ #endif ++ ++ // Now convert to BCD for rounding and cleanup, starting from the ++ // most significant end ++ pa=acc+MULACCLEN-1; ++ if (*pa!=0) num->msd=bcdacc+LEADZEROS;// drop known lead zeros ++ else { // >=1 word of leading zeros ++ num->msd=bcdacc; // known leading zeros are gone ++ pa--; // skip first word .. ++ for (; *pa==0; pa--) if (pa==acc) break; // .. and any more leading 0s ++ } ++ for (ub=bcdacc;; pa--, ub+=9) { ++ if (*pa!=0) { // split(s) needed ++ uInt top, mid, rem; // work ++ // *pa is non-zero -- split the base-billion acc digit into ++ // hi, mid, and low three-digits ++ #define mulsplit9 1000000 // divisor ++ #define mulsplit6 1000 // divisor ++ // The splitting is done by simple divides and remainders, ++ // assuming the compiler will optimize these where useful ++ // [GCC does] ++ top=*pa/mulsplit9; ++ rem=*pa%mulsplit9; ++ mid=rem/mulsplit6; ++ rem=rem%mulsplit6; ++ // lay out the nine BCD digits (plus one unwanted byte) ++ UBFROMUI(ub, UBTOUI(&BIN2BCD8[top*4])); ++ UBFROMUI(ub+3, UBTOUI(&BIN2BCD8[mid*4])); ++ UBFROMUI(ub+6, UBTOUI(&BIN2BCD8[rem*4])); ++ } ++ else { // *pa==0 ++ UBFROMUI(ub, 0); // clear 9 BCD8s ++ UBFROMUI(ub+4, 0); // .. ++ *(ub+8)=0; // .. ++ } ++ if (pa==acc) break; ++ } // BCD conversion loop ++ ++ num->lsd=ub+8; // complete the bcdnum .. ++ ++ #if DECTRACE ++ decShowNum(num, "postmult"); ++ decFloatShow(dfl, "dfl"); ++ decFloatShow(dfr, "dfr"); ++ #endif ++ return; ++ } // decFiniteMultiply ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatAbs -- absolute value, heeding NaNs, etc. */ ++/* */ ++/* result gets the canonicalized df with sign 0 */ ++/* df is the decFloat to abs */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This has the same effect as decFloatPlus unless df is negative, */ ++/* in which case it has the same effect as decFloatMinus. The */ ++/* effect is also the same as decFloatCopyAbs except that NaNs are */ ++/* handled normally (the sign of a NaN is not affected, and an sNaN */ ++/* will signal) and the result will be canonical. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatAbs(decFloat *result, const decFloat *df, ++ decContext *set) { ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); ++ decCanonical(result, df); // copy and check ++ DFBYTE(result, 0)&=~0x80; // zero sign bit ++ return result; ++ } // decFloatAbs ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatAdd -- add two decFloats */ ++/* */ ++/* result gets the result of adding dfl and dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++#if QUAD ++// Table for testing MSDs for fastpath elimination; returns the MSD of ++// a decDouble or decQuad (top 6 bits tested) ignoring the sign. ++// Infinities return -32 and NaNs return -128 so that summing the two ++// MSDs also allows rapid tests for the Specials (see code below). ++const Int DECTESTMSD[64]={ ++ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, ++ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128, ++ 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, ++ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 9, 8, 9, -32, -128}; ++#else ++// The table for testing MSDs is shared between the modules ++extern const Int DECTESTMSD[64]; ++#endif ++ ++decFloat * decFloatAdd(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ bcdnum num; // for final conversion ++ Int bexpl, bexpr; // left and right biased exponents ++ uByte *ub, *us, *ut; // work ++ uInt uiwork; // for macros ++ #if QUAD ++ uShort uswork; // .. ++ #endif ++ ++ uInt sourhil, sourhir; // top words from source decFloats ++ // [valid only through end of ++ // fastpath code -- before swap] ++ uInt diffsign; // non-zero if signs differ ++ uInt carry; // carry: 0 or 1 before add loop ++ Int overlap; // coefficient overlap (if full) ++ Int summ; // sum of the MSDs ++ // the following buffers hold coefficients with various alignments ++ // (see commentary and diagrams below) ++ uByte acc[4+2+DECPMAX*3+8]; ++ uByte buf[4+2+DECPMAX*2]; ++ uByte *umsd, *ulsd; // local MSD and LSD pointers ++ ++ #if DECLITEND ++ #define CARRYPAT 0x01000000 // carry=1 pattern ++ #else ++ #define CARRYPAT 0x00000001 // carry=1 pattern ++ #endif ++ ++ /* Start decoding the arguments */ ++ // The initial exponents are placed into the opposite Ints to ++ // that which might be expected; there are two sets of data to ++ // keep track of (each decFloat and the corresponding exponent), ++ // and this scheme means that at the swap point (after comparing ++ // exponents) only one pair of words needs to be swapped ++ // whichever path is taken (thereby minimising worst-case path). ++ // The calculated exponents will be nonsense when the arguments are ++ // Special, but are not used in that path ++ sourhil=DFWORD(dfl, 0); // LHS top word ++ summ=DECTESTMSD[sourhil>>26]; // get first MSD for testing ++ bexpr=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place) ++ bexpr+=GETECON(dfl); // .. + continuation ++ ++ sourhir=DFWORD(dfr, 0); // RHS top word ++ summ+=DECTESTMSD[sourhir>>26]; // sum MSDs for testing ++ bexpl=DECCOMBEXP[sourhir>>26]; ++ bexpl+=GETECON(dfr); ++ ++ // here bexpr has biased exponent from lhs, and vice versa ++ ++ diffsign=(sourhil^sourhir)&DECFLOAT_Sign; ++ ++ // now determine whether to take a fast path or the full-function ++ // slow path. The slow path must be taken when: ++ // -- both numbers are finite, and: ++ // the exponents are different, or ++ // the signs are different, or ++ // the sum of the MSDs is >8 (hence might overflow) ++ // specialness and the sum of the MSDs can be tested at once using ++ // the summ value just calculated, so the test for specials is no ++ // longer on the worst-case path (as of 3.60) ++ ++ if (summ<=8) { // MSD+MSD is good, or there is a special ++ if (summ<0) { // there is a special ++ // Inf+Inf would give -64; Inf+finite is -32 or higher ++ if (summ<-64) return decNaNs(result, dfl, dfr, set); // one or two NaNs ++ // two infinities with different signs is invalid ++ if (summ==-64 && diffsign) return decInvalid(result, set); ++ if (DFISINF(dfl)) return decInfinity(result, dfl); // LHS is infinite ++ return decInfinity(result, dfr); // RHS must be Inf ++ } ++ // Here when both arguments are finite; fast path is possible ++ // (currently only for aligned and same-sign) ++ if (bexpr==bexpl && !diffsign) { ++ uInt tac[DECLETS+1]; // base-1000 coefficient ++ uInt encode; // work ++ ++ // Get one coefficient as base-1000 and add the other ++ GETCOEFFTHOU(dfl, tac); // least-significant goes to [0] ++ ADDCOEFFTHOU(dfr, tac); ++ // here the sum of the MSDs (plus any carry) will be <10 due to ++ // the fastpath test earlier ++ ++ // construct the result; low word is the same for both formats ++ encode =BIN2DPD[tac[0]]; ++ encode|=BIN2DPD[tac[1]]<<10; ++ encode|=BIN2DPD[tac[2]]<<20; ++ encode|=BIN2DPD[tac[3]]<<30; ++ DFWORD(result, (DECBYTES/4)-1)=encode; ++ ++ // collect next two declets (all that remains, for Double) ++ encode =BIN2DPD[tac[3]]>>2; ++ encode|=BIN2DPD[tac[4]]<<8; ++ ++ #if QUAD ++ // complete and lay out middling words ++ encode|=BIN2DPD[tac[5]]<<18; ++ encode|=BIN2DPD[tac[6]]<<28; ++ DFWORD(result, 2)=encode; ++ ++ encode =BIN2DPD[tac[6]]>>4; ++ encode|=BIN2DPD[tac[7]]<<6; ++ encode|=BIN2DPD[tac[8]]<<16; ++ encode|=BIN2DPD[tac[9]]<<26; ++ DFWORD(result, 1)=encode; ++ ++ // and final two declets ++ encode =BIN2DPD[tac[9]]>>6; ++ encode|=BIN2DPD[tac[10]]<<4; ++ #endif ++ ++ // add exponent continuation and sign (from either argument) ++ encode|=sourhil & (ECONMASK | DECFLOAT_Sign); ++ ++ // create lookup index = MSD + top two bits of biased exponent <<4 ++ tac[DECLETS]|=(bexpl>>DECECONL)<<4; ++ encode|=DECCOMBFROM[tac[DECLETS]]; // add constructed combination field ++ DFWORD(result, 0)=encode; // complete ++ ++ // decFloatShow(result, ">"); ++ return result; ++ } // fast path OK ++ // drop through to slow path ++ } // low sum or Special(s) ++ ++ /* Slow path required -- arguments are finite and might overflow, */ ++ /* or require alignment, or might have different signs */ ++ ++ // now swap either exponents or argument pointers ++ if (bexpl<=bexpr) { ++ // original left is bigger ++ Int bexpswap=bexpl; ++ bexpl=bexpr; ++ bexpr=bexpswap; ++ // printf("left bigger\n"); ++ } ++ else { ++ const decFloat *dfswap=dfl; ++ dfl=dfr; ++ dfr=dfswap; ++ // printf("right bigger\n"); ++ } ++ // [here dfl and bexpl refer to the datum with the larger exponent, ++ // of if the exponents are equal then the original LHS argument] ++ ++ // if lhs is zero then result will be the rhs (now known to have ++ // the smaller exponent), which also may need to be tested for zero ++ // for the weird IEEE 754 sign rules ++ if (DFISZERO(dfl)) { ++ decCanonical(result, dfr); // clean copy ++ // "When the sum of two operands with opposite signs is ++ // exactly zero, the sign of that sum shall be '+' in all ++ // rounding modes except round toward -Infinity, in which ++ // mode that sign shall be '-'." ++ if (diffsign && DFISZERO(result)) { ++ DFWORD(result, 0)&=~DECFLOAT_Sign; // assume sign 0 ++ if (set->round==DEC_ROUND_FLOOR) DFWORD(result, 0)|=DECFLOAT_Sign; ++ } ++ return result; ++ } // numfl is zero ++ // [here, LHS is non-zero; code below assumes that] ++ ++ // Coefficients layout during the calculations to follow: ++ // ++ // Overlap case: ++ // +------------------------------------------------+ ++ // acc: |0000| coeffa | tail B | | ++ // +------------------------------------------------+ ++ // buf: |0000| pad0s | coeffb | | ++ // +------------------------------------------------+ ++ // ++ // Touching coefficients or gap: ++ // +------------------------------------------------+ ++ // acc: |0000| coeffa | gap | coeffb | ++ // +------------------------------------------------+ ++ // [buf not used or needed; gap clamped to Pmax] ++ ++ // lay out lhs coefficient into accumulator; this starts at acc+4 ++ // for decDouble or acc+6 for decQuad so the LSD is word- ++ // aligned; the top word gap is there only in case a carry digit ++ // is prefixed after the add -- it does not need to be zeroed ++ #if DOUBLE ++ #define COFF 4 // offset into acc ++ #elif QUAD ++ UBFROMUS(acc+4, 0); // prefix 00 ++ #define COFF 6 // offset into acc ++ #endif ++ ++ GETCOEFF(dfl, acc+COFF); // decode from decFloat ++ ulsd=acc+COFF+DECPMAX-1; ++ umsd=acc+4; // [having this here avoids ++ ++ #if DECTRACE ++ {bcdnum tum; ++ tum.msd=umsd; ++ tum.lsd=ulsd; ++ tum.exponent=bexpl-DECBIAS; ++ tum.sign=DFWORD(dfl, 0) & DECFLOAT_Sign; ++ decShowNum(&tum, "dflx");} ++ #endif ++ ++ // if signs differ, take ten's complement of lhs (here the ++ // coefficient is subtracted from all-nines; the 1 is added during ++ // the later add cycle -- zeros to the right do not matter because ++ // the complement of zero is zero); these are fixed-length inverts ++ // where the lsd is known to be at a 4-byte boundary (so no borrow ++ // possible) ++ carry=0; // assume no carry ++ if (diffsign) { ++ carry=CARRYPAT; // for +1 during add ++ UBFROMUI(acc+ 4, 0x09090909-UBTOUI(acc+ 4)); ++ UBFROMUI(acc+ 8, 0x09090909-UBTOUI(acc+ 8)); ++ UBFROMUI(acc+12, 0x09090909-UBTOUI(acc+12)); ++ UBFROMUI(acc+16, 0x09090909-UBTOUI(acc+16)); ++ #if QUAD ++ UBFROMUI(acc+20, 0x09090909-UBTOUI(acc+20)); ++ UBFROMUI(acc+24, 0x09090909-UBTOUI(acc+24)); ++ UBFROMUI(acc+28, 0x09090909-UBTOUI(acc+28)); ++ UBFROMUI(acc+32, 0x09090909-UBTOUI(acc+32)); ++ UBFROMUI(acc+36, 0x09090909-UBTOUI(acc+36)); ++ #endif ++ } // diffsign ++ ++ // now process the rhs coefficient; if it cannot overlap lhs then ++ // it can be put straight into acc (with an appropriate gap, if ++ // needed) because no actual addition will be needed (except ++ // possibly to complete ten's complement) ++ overlap=DECPMAX-(bexpl-bexpr); ++ #if DECTRACE ++ printf("exps: %ld %ld\n", (LI)(bexpl-DECBIAS), (LI)(bexpr-DECBIAS)); ++ printf("Overlap=%ld carry=%08lx\n", (LI)overlap, (LI)carry); ++ #endif ++ ++ if (overlap<=0) { // no overlap possible ++ uInt gap; // local work ++ // since a full addition is not needed, a ten's complement ++ // calculation started above may need to be completed ++ if (carry) { ++ for (ub=ulsd; *ub==9; ub--) *ub=0; ++ *ub+=1; ++ carry=0; // taken care of ++ } ++ // up to DECPMAX-1 digits of the final result can extend down ++ // below the LSD of the lhs, so if the gap is >DECPMAX then the ++ // rhs will be simply sticky bits. In this case the gap is ++ // clamped to DECPMAX and the exponent adjusted to suit [this is ++ // safe because the lhs is non-zero]. ++ gap=-overlap; ++ if (gap>DECPMAX) { ++ bexpr+=gap-1; ++ gap=DECPMAX; ++ } ++ ub=ulsd+gap+1; // where MSD will go ++ // Fill the gap with 0s; note that there is no addition to do ++ ut=acc+COFF+DECPMAX; // start of gap ++ for (; ut DECPMAX ++ *ub=(uByte)(!DFISZERO(dfr)); // make sticky digit ++ } ++ else { // need full coefficient ++ GETCOEFF(dfr, ub); // decode from decFloat ++ ub+=DECPMAX-1; // new LSD... ++ } ++ ulsd=ub; // save new LSD ++ } // no overlap possible ++ ++ else { // overlap>0 ++ // coefficients overlap (perhaps completely, although also ++ // perhaps only where zeros) ++ if (overlap==DECPMAX) { // aligned ++ ub=buf+COFF; // where msd will go ++ #if QUAD ++ UBFROMUS(buf+4, 0); // clear quad's 00 ++ #endif ++ GETCOEFF(dfr, ub); // decode from decFloat ++ } ++ else { // unaligned ++ ub=buf+COFF+DECPMAX-overlap; // where MSD will go ++ // Fill the prefix gap with 0s; 8 will cover most common ++ // unalignments, so start with direct assignments (a loop is ++ // then used for any remaining -- the loop (and the one in a ++ // moment) is not then on the critical path because the number ++ // of additions is reduced by (at least) two in this case) ++ UBFROMUI(buf+4, 0); // [clears decQuad 00 too] ++ UBFROMUI(buf+8, 0); ++ if (ub>buf+12) { ++ ut=buf+12; // start any remaining ++ for (; ut=acc+4; ut-=4, us-=4) { // big-endian add loop ++ // bcd8 add ++ carry+=UBTOUI(us); // rhs + carry ++ if (carry==0) continue; // no-op ++ carry+=UBTOUI(ut); // lhs ++ // Big-endian BCD adjust (uses internal carry) ++ carry+=0x76f6f6f6; // note top nibble not all bits ++ // apply BCD adjust and save ++ UBFROMUI(ut, (carry & 0x0f0f0f0f) - ((carry & 0x60606060)>>4)); ++ carry>>=31; // true carry was at far left ++ } // add loop ++ #else ++ for (; ut>=acc+4; ut-=4, us-=4) { // little-endian add loop ++ // bcd8 add ++ carry+=UBTOUI(us); // rhs + carry ++ if (carry==0) continue; // no-op [common if unaligned] ++ carry+=UBTOUI(ut); // lhs ++ // Little-endian BCD adjust; inter-digit carry must be manual ++ // because the lsb from the array will be in the most-significant ++ // byte of carry ++ carry+=0x76767676; // note no inter-byte carries ++ carry+=(carry & 0x80000000)>>15; ++ carry+=(carry & 0x00800000)>>15; ++ carry+=(carry & 0x00008000)>>15; ++ carry-=(carry & 0x60606060)>>4; // BCD adjust back ++ UBFROMUI(ut, carry & 0x0f0f0f0f); // clear debris and save ++ // here, final carry-out bit is at 0x00000080; move it ready ++ // for next word-add (i.e., to 0x01000000) ++ carry=(carry & 0x00000080)<<17; ++ } // add loop ++ #endif ++ ++ #if DECTRACE ++ {bcdnum tum; ++ printf("Add done, carry=%08lx, diffsign=%ld\n", (LI)carry, (LI)diffsign); ++ tum.msd=umsd; // acc+4; ++ tum.lsd=ulsd; ++ tum.exponent=0; ++ tum.sign=0; ++ decShowNum(&tum, "dfadd");} ++ #endif ++ } // overlap possible ++ ++ // ordering here is a little strange in order to have slowest path ++ // first in GCC asm listing ++ if (diffsign) { // subtraction ++ if (!carry) { // no carry out means RHS=umsd+BNEXT) { // unaligned ++ // eight will handle most unaligments for Double; 16 for Quad ++ UBFROMUI(umsd+BNEXT, 0x09090909-UBTOUI(umsd+BNEXT)); ++ UBFROMUI(umsd+BNEXT+4, 0x09090909-UBTOUI(umsd+BNEXT+4)); ++ #if DOUBLE ++ #define BNEXTY (BNEXT+8) ++ #elif QUAD ++ UBFROMUI(umsd+BNEXT+8, 0x09090909-UBTOUI(umsd+BNEXT+8)); ++ UBFROMUI(umsd+BNEXT+12, 0x09090909-UBTOUI(umsd+BNEXT+12)); ++ #define BNEXTY (BNEXT+16) ++ #endif ++ if (ulsd>=umsd+BNEXTY) { // very unaligned ++ ut=umsd+BNEXTY; // -> continue ++ for (;;ut+=4) { ++ UBFROMUI(ut, 0x09090909-UBTOUI(ut)); // invert four digits ++ if (ut>=ulsd-3) break; // all done ++ } ++ } ++ } ++ // complete the ten's complement by adding 1 ++ for (ub=ulsd; *ub==9; ub--) *ub=0; ++ *ub+=1; ++ } // borrowed ++ ++ else { // carry out means RHS>=LHS ++ num.sign=DFWORD(dfr, 0) & DECFLOAT_Sign; ++ // all done except for the special IEEE 754 exact-zero-result ++ // rule (see above); while testing for zero, strip leading ++ // zeros (which will save decFinalize doing it) (this is in ++ // diffsign path, so carry impossible and true umsd is ++ // acc+COFF) ++ ++ // Check the initial coefficient area using the fast macro; ++ // this will often be all that needs to be done (as on the ++ // worst-case path when the subtraction was aligned and ++ // full-length) ++ if (ISCOEFFZERO(acc+COFF)) { ++ umsd=acc+COFF+DECPMAX-1; // so far, so zero ++ if (ulsd>umsd) { // more to check ++ umsd++; // to align after checked area ++ for (; UBTOUI(umsd)==0 && umsd+3round==DEC_ROUND_FLOOR) num.sign=DECFLOAT_Sign; ++ } ++ } ++ // [else was not zero, might still have leading zeros] ++ } // subtraction gave positive result ++ } // diffsign ++ ++ else { // same-sign addition ++ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign; ++ #if DOUBLE ++ if (carry) { // only possible with decDouble ++ *(acc+3)=1; // [Quad has leading 00] ++ umsd=acc+3; ++ } ++ #endif ++ } // same sign ++ ++ num.msd=umsd; // set MSD .. ++ num.lsd=ulsd; // .. and LSD ++ num.exponent=bexpr-DECBIAS; // set exponent to smaller, unbiassed ++ ++ #if DECTRACE ++ decFloatShow(dfl, "dfl"); ++ decFloatShow(dfr, "dfr"); ++ decShowNum(&num, "postadd"); ++ #endif ++ return decFinalize(result, &num, set); // round, check, and lay out ++ } // decFloatAdd ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatAnd -- logical digitwise AND of two decFloats */ ++/* */ ++/* result gets the result of ANDing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result, which will be canonical with sign=0 */ ++/* */ ++/* The operands must be positive, finite with exponent q=0, and */ ++/* comprise just zeros and ones; if not, Invalid operation results. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatAnd(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ if (!DFISUINT01(dfl) || !DFISUINT01(dfr) ++ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set); ++ // the operands are positive finite integers (q=0) with just 0s and 1s ++ #if DOUBLE ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04009124); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x49124491; ++ #elif QUAD ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) & DFWORD(dfr, 0))&0x04000912); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) & DFWORD(dfr, 1))&0x44912449; ++ DFWORD(result, 2)=(DFWORD(dfl, 2) & DFWORD(dfr, 2))&0x12449124; ++ DFWORD(result, 3)=(DFWORD(dfl, 3) & DFWORD(dfr, 3))&0x49124491; ++ #endif ++ return result; ++ } // decFloatAnd ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCanonical -- copy a decFloat, making canonical */ ++/* */ ++/* result gets the canonicalized df */ ++/* df is the decFloat to copy and make canonical */ ++/* returns result */ ++/* */ ++/* This works on specials, too; no error or exception is possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCanonical(decFloat *result, const decFloat *df) { ++ return decCanonical(result, df); ++ } // decFloatCanonical ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatClass -- return the class of a decFloat */ ++/* */ ++/* df is the decFloat to test */ ++/* returns the decClass that df falls into */ ++/* ------------------------------------------------------------------ */ ++enum decClass decFloatClass(const decFloat *df) { ++ Int exp; // exponent ++ if (DFISSPECIAL(df)) { ++ if (DFISQNAN(df)) return DEC_CLASS_QNAN; ++ if (DFISSNAN(df)) return DEC_CLASS_SNAN; ++ // must be an infinity ++ if (DFISSIGNED(df)) return DEC_CLASS_NEG_INF; ++ return DEC_CLASS_POS_INF; ++ } ++ if (DFISZERO(df)) { // quite common ++ if (DFISSIGNED(df)) return DEC_CLASS_NEG_ZERO; ++ return DEC_CLASS_POS_ZERO; ++ } ++ // is finite and non-zero; similar code to decFloatIsNormal, here ++ // [this could be speeded up slightly by in-lining decFloatDigits] ++ exp=GETEXPUN(df) // get unbiased exponent .. ++ +decFloatDigits(df)-1; // .. and make adjusted exponent ++ if (exp>=DECEMIN) { // is normal ++ if (DFISSIGNED(df)) return DEC_CLASS_NEG_NORMAL; ++ return DEC_CLASS_POS_NORMAL; ++ } ++ // is subnormal ++ if (DFISSIGNED(df)) return DEC_CLASS_NEG_SUBNORMAL; ++ return DEC_CLASS_POS_SUBNORMAL; ++ } // decFloatClass ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatClassString -- return the class of a decFloat as a string */ ++/* */ ++/* df is the decFloat to test */ ++/* returns a constant string describing the class df falls into */ ++/* ------------------------------------------------------------------ */ ++const char *decFloatClassString(const decFloat *df) { ++ enum decClass eclass=decFloatClass(df); ++ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN; ++ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN; ++ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ; ++ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ; ++ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS; ++ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS; ++ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI; ++ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI; ++ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN; ++ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN; ++ return DEC_ClassString_UN; // Unknown ++ } // decFloatClassString ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCompare -- compare two decFloats; quiet NaNs allowed */ ++/* */ ++/* result gets the result of comparing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result, which may be -1, 0, 1, or NaN (Unordered) */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCompare(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; // work ++ // NaNs are handled as usual ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ // numeric comparison needed ++ comp=decNumCompare(dfl, dfr, 0); ++ decFloatZero(result); ++ if (comp==0) return result; ++ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1 ++ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit ++ return result; ++ } // decFloatCompare ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCompareSignal -- compare two decFloats; all NaNs signal */ ++/* */ ++/* result gets the result of comparing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result, which may be -1, 0, 1, or NaN (Unordered) */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCompareSignal(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; // work ++ // NaNs are handled as usual, except that all NaNs signal ++ if (DFISNAN(dfl) || DFISNAN(dfr)) { ++ set->status|=DEC_Invalid_operation; ++ return decNaNs(result, dfl, dfr, set); ++ } ++ // numeric comparison needed ++ comp=decNumCompare(dfl, dfr, 0); ++ decFloatZero(result); ++ if (comp==0) return result; ++ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1 ++ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit ++ return result; ++ } // decFloatCompareSignal ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCompareTotal -- compare two decFloats with total ordering */ ++/* */ ++/* result gets the result of comparing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* returns result, which may be -1, 0, or 1 */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCompareTotal(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr) { ++ Int comp; // work ++ uInt uiwork; // for macros ++ #if QUAD ++ uShort uswork; // .. ++ #endif ++ if (DFISNAN(dfl) || DFISNAN(dfr)) { ++ Int nanl, nanr; // work ++ // morph NaNs to +/- 1 or 2, leave numbers as 0 ++ nanl=DFISSNAN(dfl)+DFISQNAN(dfl)*2; // quiet > signalling ++ if (DFISSIGNED(dfl)) nanl=-nanl; ++ nanr=DFISSNAN(dfr)+DFISQNAN(dfr)*2; ++ if (DFISSIGNED(dfr)) nanr=-nanr; ++ if (nanl>nanr) comp=+1; ++ else if (nanl*uc) comp=sigl; // difference found ++ else comp=-sigl; // .. ++ break; ++ } ++ } ++ } // same NaN type and sign ++ } ++ else { ++ // numeric comparison needed ++ comp=decNumCompare(dfl, dfr, 1); // total ordering ++ } ++ decFloatZero(result); ++ if (comp==0) return result; ++ DFBYTE(result, DECBYTES-1)=0x01; // LSD=1 ++ if (comp<0) DFBYTE(result, 0)|=0x80; // set sign bit ++ return result; ++ } // decFloatCompareTotal ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCompareTotalMag -- compare magnitudes with total ordering */ ++/* */ ++/* result gets the result of comparing abs(dfl) and abs(dfr) */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* returns result, which may be -1, 0, or 1 */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCompareTotalMag(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr) { ++ decFloat a, b; // for copy if needed ++ // copy and redirect signed operand(s) ++ if (DFISSIGNED(dfl)) { ++ decFloatCopyAbs(&a, dfl); ++ dfl=&a; ++ } ++ if (DFISSIGNED(dfr)) { ++ decFloatCopyAbs(&b, dfr); ++ dfr=&b; ++ } ++ return decFloatCompareTotal(result, dfl, dfr); ++ } // decFloatCompareTotalMag ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCopy -- copy a decFloat as-is */ ++/* */ ++/* result gets the copy of dfl */ ++/* dfl is the decFloat to copy */ ++/* returns result */ ++/* */ ++/* This is a bitwise operation; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCopy(decFloat *result, const decFloat *dfl) { ++ if (dfl!=result) *result=*dfl; // copy needed ++ return result; ++ } // decFloatCopy ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCopyAbs -- copy a decFloat as-is and set sign bit to 0 */ ++/* */ ++/* result gets the copy of dfl with sign bit 0 */ ++/* dfl is the decFloat to copy */ ++/* returns result */ ++/* */ ++/* This is a bitwise operation; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCopyAbs(decFloat *result, const decFloat *dfl) { ++ if (dfl!=result) *result=*dfl; // copy needed ++ DFBYTE(result, 0)&=~0x80; // zero sign bit ++ return result; ++ } // decFloatCopyAbs ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCopyNegate -- copy a decFloat as-is with inverted sign bit */ ++/* */ ++/* result gets the copy of dfl with sign bit inverted */ ++/* dfl is the decFloat to copy */ ++/* returns result */ ++/* */ ++/* This is a bitwise operation; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCopyNegate(decFloat *result, const decFloat *dfl) { ++ if (dfl!=result) *result=*dfl; // copy needed ++ DFBYTE(result, 0)^=0x80; // invert sign bit ++ return result; ++ } // decFloatCopyNegate ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatCopySign -- copy a decFloat with the sign of another */ ++/* */ ++/* result gets the result of copying dfl with the sign of dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* returns result */ ++/* */ ++/* This is a bitwise operation; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatCopySign(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr) { ++ uByte sign=(uByte)(DFBYTE(dfr, 0)&0x80); // save sign bit ++ if (dfl!=result) *result=*dfl; // copy needed ++ DFBYTE(result, 0)&=~0x80; // clear sign .. ++ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // .. and set saved ++ return result; ++ } // decFloatCopySign ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatDigits -- return the number of digits in a decFloat */ ++/* */ ++/* df is the decFloat to investigate */ ++/* returns the number of significant digits in the decFloat; a */ ++/* zero coefficient returns 1 as does an infinity (a NaN returns */ ++/* the number of digits in the payload) */ ++/* ------------------------------------------------------------------ */ ++// private macro to extract a declet according to provided formula ++// (form), and if it is non-zero then return the calculated digits ++// depending on the declet number (n), where n=0 for the most ++// significant declet; uses uInt dpd for work ++#define dpdlenchk(n, form) dpd=(form)&0x3ff; \ ++ if (dpd) return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3]) ++// next one is used when it is known that the declet must be ++// non-zero, or is the final zero declet ++#define dpdlendun(n, form) dpd=(form)&0x3ff; \ ++ if (dpd==0) return 1; \ ++ return (DECPMAX-1-3*(n))-(3-DPD2BCD8[dpd*4+3]) ++ ++uInt decFloatDigits(const decFloat *df) { ++ uInt dpd; // work ++ uInt sourhi=DFWORD(df, 0); // top word from source decFloat ++ #if QUAD ++ uInt sourmh, sourml; ++ #endif ++ uInt sourlo; ++ ++ if (DFISINF(df)) return 1; ++ // A NaN effectively has an MSD of 0; otherwise if non-zero MSD ++ // then the coefficient is full-length ++ if (!DFISNAN(df) && DECCOMBMSD[sourhi>>26]) return DECPMAX; ++ ++ #if DOUBLE ++ if (sourhi&0x0003ffff) { // ends in first ++ dpdlenchk(0, sourhi>>8); ++ sourlo=DFWORD(df, 1); ++ dpdlendun(1, (sourhi<<2) | (sourlo>>30)); ++ } // [cannot drop through] ++ sourlo=DFWORD(df, 1); // sourhi not involved now ++ if (sourlo&0xfff00000) { // in one of first two ++ dpdlenchk(1, sourlo>>30); // very rare ++ dpdlendun(2, sourlo>>20); ++ } // [cannot drop through] ++ dpdlenchk(3, sourlo>>10); ++ dpdlendun(4, sourlo); ++ // [cannot drop through] ++ ++ #elif QUAD ++ if (sourhi&0x00003fff) { // ends in first ++ dpdlenchk(0, sourhi>>4); ++ sourmh=DFWORD(df, 1); ++ dpdlendun(1, ((sourhi)<<6) | (sourmh>>26)); ++ } // [cannot drop through] ++ sourmh=DFWORD(df, 1); ++ if (sourmh) { ++ dpdlenchk(1, sourmh>>26); ++ dpdlenchk(2, sourmh>>16); ++ dpdlenchk(3, sourmh>>6); ++ sourml=DFWORD(df, 2); ++ dpdlendun(4, ((sourmh)<<4) | (sourml>>28)); ++ } // [cannot drop through] ++ sourml=DFWORD(df, 2); ++ if (sourml) { ++ dpdlenchk(4, sourml>>28); ++ dpdlenchk(5, sourml>>18); ++ dpdlenchk(6, sourml>>8); ++ sourlo=DFWORD(df, 3); ++ dpdlendun(7, ((sourml)<<2) | (sourlo>>30)); ++ } // [cannot drop through] ++ sourlo=DFWORD(df, 3); ++ if (sourlo&0xfff00000) { // in one of first two ++ dpdlenchk(7, sourlo>>30); // very rare ++ dpdlendun(8, sourlo>>20); ++ } // [cannot drop through] ++ dpdlenchk(9, sourlo>>10); ++ dpdlendun(10, sourlo); ++ // [cannot drop through] ++ #endif ++ } // decFloatDigits ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatDivide -- divide a decFloat by another */ ++/* */ ++/* result gets the result of dividing dfl by dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++// This is just a wrapper. ++decFloat * decFloatDivide(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ return decDivide(result, dfl, dfr, set, DIVIDE); ++ } // decFloatDivide ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatDivideInteger -- integer divide a decFloat by another */ ++/* */ ++/* result gets the result of dividing dfl by dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatDivideInteger(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ return decDivide(result, dfl, dfr, set, DIVIDEINT); ++ } // decFloatDivideInteger ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFMA -- multiply and add three decFloats, fused */ ++/* */ ++/* result gets the result of (dfl*dfr)+dff with a single rounding */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* dff is the final decFloat (fhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFMA(decFloat *result, const decFloat *dfl, ++ const decFloat *dfr, const decFloat *dff, ++ decContext *set) { ++ ++ // The accumulator has the bytes needed for FiniteMultiply, plus ++ // one byte to the left in case of carry, plus DECPMAX+2 to the ++ // right for the final addition (up to full fhs + round & sticky) ++ #define FMALEN (ROUNDUP4(1+ (DECPMAX9*18+1) +DECPMAX+2)) ++ uByte acc[FMALEN]; // for multiplied coefficient in BCD ++ // .. and for final result ++ bcdnum mul; // for multiplication result ++ bcdnum fin; // for final operand, expanded ++ uByte coe[ROUNDUP4(DECPMAX)]; // dff coefficient in BCD ++ bcdnum *hi, *lo; // bcdnum with higher/lower exponent ++ uInt diffsign; // non-zero if signs differ ++ uInt hipad; // pad digit for hi if needed ++ Int padding; // excess exponent ++ uInt carry; // +1 for ten's complement and during add ++ uByte *ub, *uh, *ul; // work ++ uInt uiwork; // for macros ++ ++ // handle all the special values [any special operand leads to a ++ // special result] ++ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr) || DFISSPECIAL(dff)) { ++ decFloat proxy; // multiplication result proxy ++ // NaNs are handled as usual, giving priority to sNaNs ++ if (DFISSNAN(dfl) || DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ if (DFISSNAN(dff)) return decNaNs(result, dff, NULL, set); ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ if (DFISNAN(dff)) return decNaNs(result, dff, NULL, set); ++ // One or more of the three is infinite ++ // infinity times zero is bad ++ decFloatZero(&proxy); ++ if (DFISINF(dfl)) { ++ if (DFISZERO(dfr)) return decInvalid(result, set); ++ decInfinity(&proxy, &proxy); ++ } ++ else if (DFISINF(dfr)) { ++ if (DFISZERO(dfl)) return decInvalid(result, set); ++ decInfinity(&proxy, &proxy); ++ } ++ // compute sign of multiplication and place in proxy ++ DFWORD(&proxy, 0)|=(DFWORD(dfl, 0)^DFWORD(dfr, 0))&DECFLOAT_Sign; ++ if (!DFISINF(dff)) return decFloatCopy(result, &proxy); ++ // dff is Infinite ++ if (!DFISINF(&proxy)) return decInfinity(result, dff); ++ // both sides of addition are infinite; different sign is bad ++ if ((DFWORD(dff, 0)&DECFLOAT_Sign)!=(DFWORD(&proxy, 0)&DECFLOAT_Sign)) ++ return decInvalid(result, set); ++ return decFloatCopy(result, &proxy); ++ } ++ ++ /* Here when all operands are finite */ ++ ++ // First multiply dfl*dfr ++ decFiniteMultiply(&mul, acc+1, dfl, dfr); ++ // The multiply is complete, exact and unbounded, and described in ++ // mul with the coefficient held in acc[1...] ++ ++ // now add in dff; the algorithm is essentially the same as ++ // decFloatAdd, but the code is different because the code there ++ // is highly optimized for adding two numbers of the same size ++ fin.exponent=GETEXPUN(dff); // get dff exponent and sign ++ fin.sign=DFWORD(dff, 0)&DECFLOAT_Sign; ++ diffsign=mul.sign^fin.sign; // note if signs differ ++ fin.msd=coe; ++ fin.lsd=coe+DECPMAX-1; ++ GETCOEFF(dff, coe); // extract the coefficient ++ ++ // now set hi and lo so that hi points to whichever of mul and fin ++ // has the higher exponent and lo points to the other [don't care, ++ // if the same]. One coefficient will be in acc, the other in coe. ++ if (mul.exponent>=fin.exponent) { ++ hi=&mul; ++ lo=&fin; ++ } ++ else { ++ hi=&fin; ++ lo=&mul; ++ } ++ ++ // remove leading zeros on both operands; this will save time later ++ // and make testing for zero trivial (tests are safe because acc ++ // and coe are rounded up to uInts) ++ for (; UBTOUI(hi->msd)==0 && hi->msd+3lsd;) hi->msd+=4; ++ for (; *hi->msd==0 && hi->msdlsd;) hi->msd++; ++ for (; UBTOUI(lo->msd)==0 && lo->msd+3lsd;) lo->msd+=4; ++ for (; *lo->msd==0 && lo->msdlsd;) lo->msd++; ++ ++ // if hi is zero then result will be lo (which has the smaller ++ // exponent), which also may need to be tested for zero for the ++ // weird IEEE 754 sign rules ++ if (*hi->msd==0) { // hi is zero ++ // "When the sum of two operands with opposite signs is ++ // exactly zero, the sign of that sum shall be '+' in all ++ // rounding modes except round toward -Infinity, in which ++ // mode that sign shall be '-'." ++ if (diffsign) { ++ if (*lo->msd==0) { // lo is zero ++ lo->sign=0; ++ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign; ++ } // diffsign && lo=0 ++ } // diffsign ++ return decFinalize(result, lo, set); // may need clamping ++ } // numfl is zero ++ // [here, both are minimal length and hi is non-zero] ++ // (if lo is zero then padding with zeros may be needed, below) ++ ++ // if signs differ, take the ten's complement of hi (zeros to the ++ // right do not matter because the complement of zero is zero); the ++ // +1 is done later, as part of the addition, inserted at the ++ // correct digit ++ hipad=0; ++ carry=0; ++ if (diffsign) { ++ hipad=9; ++ carry=1; ++ // exactly the correct number of digits must be inverted ++ for (uh=hi->msd; uhlsd-3; uh+=4) UBFROMUI(uh, 0x09090909-UBTOUI(uh)); ++ for (; uh<=hi->lsd; uh++) *uh=(uByte)(0x09-*uh); ++ } ++ ++ // ready to add; note that hi has no leading zeros so gap ++ // calculation does not have to be as pessimistic as in decFloatAdd ++ // (this is much more like the arbitrary-precision algorithm in ++ // Rexx and decNumber) ++ ++ // padding is the number of zeros that would need to be added to hi ++ // for its lsd to be aligned with the lsd of lo ++ padding=hi->exponent-lo->exponent; ++ // printf("FMA pad %ld\n", (LI)padding); ++ ++ // the result of the addition will be built into the accumulator, ++ // starting from the far right; this could be either hi or lo, and ++ // will be aligned ++ ub=acc+FMALEN-1; // where lsd of result will go ++ ul=lo->lsd; // lsd of rhs ++ ++ if (padding!=0) { // unaligned ++ // if the msd of lo is more than DECPMAX+2 digits to the right of ++ // the original msd of hi then it can be reduced to a single ++ // digit at the right place, as it stays clear of hi digits ++ // [it must be DECPMAX+2 because during a subtraction the msd ++ // could become 0 after a borrow from 1.000 to 0.9999...] ++ ++ Int hilen=(Int)(hi->lsd-hi->msd+1); // length of hi ++ Int lolen=(Int)(lo->lsd-lo->msd+1); // and of lo ++ ++ if (hilen+padding-lolen > DECPMAX+2) { // can reduce lo to single ++ // make sure it is virtually at least DECPMAX from hi->msd, at ++ // least to right of hi->lsd (in case of destructive subtract), ++ // and separated by at least two digits from either of those ++ // (the tricky DOUBLE case is when hi is a 1 that will become a ++ // 0.9999... by subtraction: ++ // hi: 1 E+16 ++ // lo: .................1000000000000000 E-16 ++ // which for the addition pads to: ++ // hi: 1000000000000000000 E-16 ++ // lo: .................1000000000000000 E-16 ++ Int newexp=MINI(hi->exponent, hi->exponent+hilen-DECPMAX)-3; ++ ++ // printf("FMA reduce: %ld\n", (LI)reduce); ++ lo->lsd=lo->msd; // to single digit [maybe 0] ++ lo->exponent=newexp; // new lowest exponent ++ padding=hi->exponent-lo->exponent; // recalculate ++ ul=lo->lsd; // .. and repoint ++ } ++ ++ // padding is still > 0, but will fit in acc (less leading carry slot) ++ #if DECCHECK ++ if (padding<=0) printf("FMA low padding: %ld\n", (LI)padding); ++ if (hilen+padding+1>FMALEN) ++ printf("FMA excess hilen+padding: %ld+%ld \n", (LI)hilen, (LI)padding); ++ // printf("FMA padding: %ld\n", (LI)padding); ++ #endif ++ ++ // padding digits can now be set in the result; one or more of ++ // these will come from lo; others will be zeros in the gap ++ for (; ul-3>=lo->msd && padding>3; padding-=4, ul-=4, ub-=4) { ++ UBFROMUI(ub-3, UBTOUI(ul-3)); // [cannot overlap] ++ } ++ for (; ul>=lo->msd && padding>0; padding--, ul--, ub--) *ub=*ul; ++ for (;padding>0; padding--, ub--) *ub=0; // mind the gap ++ } ++ ++ // addition now complete to the right of the rightmost digit of hi ++ uh=hi->lsd; ++ ++ // dow do the add from hi->lsd to the left ++ // [bytewise, because either operand can run out at any time] ++ // carry was set up depending on ten's complement above ++ // first assume both operands have some digits ++ for (;; ub--) { ++ if (uhmsd || ulmsd) break; ++ *ub=(uByte)(carry+(*uh--)+(*ul--)); ++ carry=0; ++ if (*ub<10) continue; ++ *ub-=10; ++ carry=1; ++ } // both loop ++ ++ if (ulmsd) { // to left of lo ++ for (;; ub--) { ++ if (uhmsd) break; ++ *ub=(uByte)(carry+(*uh--)); // [+0] ++ carry=0; ++ if (*ub<10) continue; ++ *ub-=10; ++ carry=1; ++ } // hi loop ++ } ++ else { // to left of hi ++ for (;; ub--) { ++ if (ulmsd) break; ++ *ub=(uByte)(carry+hipad+(*ul--)); ++ carry=0; ++ if (*ub<10) continue; ++ *ub-=10; ++ carry=1; ++ } // lo loop ++ } ++ ++ // addition complete -- now handle carry, borrow, etc. ++ // use lo to set up the num (its exponent is already correct, and ++ // sign usually is) ++ lo->msd=ub+1; ++ lo->lsd=acc+FMALEN-1; ++ // decShowNum(lo, "lo"); ++ if (!diffsign) { // same-sign addition ++ if (carry) { // carry out ++ *ub=1; // place the 1 .. ++ lo->msd--; // .. and update ++ } ++ } // same sign ++ else { // signs differed (subtraction) ++ if (!carry) { // no carry out means hisign=hi->sign; // sign is lhs sign ++ for (ul=lo->msd; ullsd-3; ul+=4) UBFROMUI(ul, 0x09090909-UBTOUI(ul)); ++ for (; ul<=lo->lsd; ul++) *ul=(uByte)(0x09-*ul); // [leaves ul at lsd+1] ++ // complete the ten's complement by adding 1 [cannot overrun] ++ for (ul--; *ul==9; ul--) *ul=0; ++ *ul+=1; ++ } // borrowed ++ else { // carry out means hi>=lo ++ // sign to use is lo->sign ++ // all done except for the special IEEE 754 exact-zero-result ++ // rule (see above); while testing for zero, strip leading ++ // zeros (which will save decFinalize doing it) ++ for (; UBTOUI(lo->msd)==0 && lo->msd+3lsd;) lo->msd+=4; ++ for (; *lo->msd==0 && lo->msdlsd;) lo->msd++; ++ if (*lo->msd==0) { // must be true zero (and diffsign) ++ lo->sign=0; // assume + ++ if (set->round==DEC_ROUND_FLOOR) lo->sign=DECFLOAT_Sign; ++ } ++ // [else was not zero, might still have leading zeros] ++ } // subtraction gave positive result ++ } // diffsign ++ ++ #if DECCHECK ++ // assert no left underrun ++ if (lo->msdmsd)); ++ } ++ #endif ++ ++ return decFinalize(result, lo, set); // round, check, and lay out ++ } // decFloatFMA ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromInt -- initialise a decFloat from an Int */ ++/* */ ++/* result gets the converted Int */ ++/* n is the Int to convert */ ++/* returns result */ ++/* */ ++/* The result is Exact; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFromInt32(decFloat *result, Int n) { ++ uInt u=(uInt)n; // copy as bits ++ uInt encode; // work ++ DFWORD(result, 0)=ZEROWORD; // always ++ #if QUAD ++ DFWORD(result, 1)=0; ++ DFWORD(result, 2)=0; ++ #endif ++ if (n<0) { // handle -n with care ++ // [This can be done without the test, but is then slightly slower] ++ u=(~u)+1; ++ DFWORD(result, 0)|=DECFLOAT_Sign; ++ } ++ // Since the maximum value of u now is 2**31, only the low word of ++ // result is affected ++ encode=BIN2DPD[u%1000]; ++ u/=1000; ++ encode|=BIN2DPD[u%1000]<<10; ++ u/=1000; ++ encode|=BIN2DPD[u%1000]<<20; ++ u/=1000; // now 0, 1, or 2 ++ encode|=u<<30; ++ DFWORD(result, DECWORDS-1)=encode; ++ return result; ++ } // decFloatFromInt32 ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromUInt -- initialise a decFloat from a uInt */ ++/* */ ++/* result gets the converted uInt */ ++/* n is the uInt to convert */ ++/* returns result */ ++/* */ ++/* The result is Exact; no errors or exceptions are possible. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFromUInt32(decFloat *result, uInt u) { ++ uInt encode; // work ++ DFWORD(result, 0)=ZEROWORD; // always ++ #if QUAD ++ DFWORD(result, 1)=0; ++ DFWORD(result, 2)=0; ++ #endif ++ encode=BIN2DPD[u%1000]; ++ u/=1000; ++ encode|=BIN2DPD[u%1000]<<10; ++ u/=1000; ++ encode|=BIN2DPD[u%1000]<<20; ++ u/=1000; // now 0 -> 4 ++ encode|=u<<30; ++ DFWORD(result, DECWORDS-1)=encode; ++ DFWORD(result, DECWORDS-2)|=u>>2; // rarely non-zero ++ return result; ++ } // decFloatFromUInt32 ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatInvert -- logical digitwise INVERT of a decFloat */ ++/* */ ++/* result gets the result of INVERTing df */ ++/* df is the decFloat to invert */ ++/* set is the context */ ++/* returns result, which will be canonical with sign=0 */ ++/* */ ++/* The operand must be positive, finite with exponent q=0, and */ ++/* comprise just zeros and ones; if not, Invalid operation results. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatInvert(decFloat *result, const decFloat *df, ++ decContext *set) { ++ uInt sourhi=DFWORD(df, 0); // top word of dfs ++ ++ if (!DFISUINT01(df) || !DFISCC01(df)) return decInvalid(result, set); ++ // the operand is a finite integer (q=0) ++ #if DOUBLE ++ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04009124); ++ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x49124491; ++ #elif QUAD ++ DFWORD(result, 0)=ZEROWORD|((~sourhi)&0x04000912); ++ DFWORD(result, 1)=(~DFWORD(df, 1)) &0x44912449; ++ DFWORD(result, 2)=(~DFWORD(df, 2)) &0x12449124; ++ DFWORD(result, 3)=(~DFWORD(df, 3)) &0x49124491; ++ #endif ++ return result; ++ } // decFloatInvert ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatIs -- decFloat tests (IsSigned, etc.) */ ++/* */ ++/* df is the decFloat to test */ ++/* returns 0 or 1 in a uInt */ ++/* */ ++/* Many of these could be macros, but having them as real functions */ ++/* is a little cleaner (and they can be referred to here by the */ ++/* generic names) */ ++/* ------------------------------------------------------------------ */ ++uInt decFloatIsCanonical(const decFloat *df) { ++ if (DFISSPECIAL(df)) { ++ if (DFISINF(df)) { ++ if (DFWORD(df, 0)&ECONMASK) return 0; // exponent continuation ++ if (!DFISCCZERO(df)) return 0; // coefficient continuation ++ return 1; ++ } ++ // is a NaN ++ if (DFWORD(df, 0)&ECONNANMASK) return 0; // exponent continuation ++ if (DFISCCZERO(df)) return 1; // coefficient continuation ++ // drop through to check payload ++ } ++ { // declare block ++ #if DOUBLE ++ uInt sourhi=DFWORD(df, 0); ++ uInt sourlo=DFWORD(df, 1); ++ if (CANONDPDOFF(sourhi, 8) ++ && CANONDPDTWO(sourhi, sourlo, 30) ++ && CANONDPDOFF(sourlo, 20) ++ && CANONDPDOFF(sourlo, 10) ++ && CANONDPDOFF(sourlo, 0)) return 1; ++ #elif QUAD ++ uInt sourhi=DFWORD(df, 0); ++ uInt sourmh=DFWORD(df, 1); ++ uInt sourml=DFWORD(df, 2); ++ uInt sourlo=DFWORD(df, 3); ++ if (CANONDPDOFF(sourhi, 4) ++ && CANONDPDTWO(sourhi, sourmh, 26) ++ && CANONDPDOFF(sourmh, 16) ++ && CANONDPDOFF(sourmh, 6) ++ && CANONDPDTWO(sourmh, sourml, 28) ++ && CANONDPDOFF(sourml, 18) ++ && CANONDPDOFF(sourml, 8) ++ && CANONDPDTWO(sourml, sourlo, 30) ++ && CANONDPDOFF(sourlo, 20) ++ && CANONDPDOFF(sourlo, 10) ++ && CANONDPDOFF(sourlo, 0)) return 1; ++ #endif ++ } // block ++ return 0; // a declet is non-canonical ++ } ++ ++uInt decFloatIsFinite(const decFloat *df) { ++ return !DFISSPECIAL(df); ++ } ++uInt decFloatIsInfinite(const decFloat *df) { ++ return DFISINF(df); ++ } ++uInt decFloatIsInteger(const decFloat *df) { ++ return DFISINT(df); ++ } ++uInt decFloatIsLogical(const decFloat *df) { ++ return DFISUINT01(df) & DFISCC01(df); ++ } ++uInt decFloatIsNaN(const decFloat *df) { ++ return DFISNAN(df); ++ } ++uInt decFloatIsNegative(const decFloat *df) { ++ return DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df); ++ } ++uInt decFloatIsNormal(const decFloat *df) { ++ Int exp; // exponent ++ if (DFISSPECIAL(df)) return 0; ++ if (DFISZERO(df)) return 0; ++ // is finite and non-zero ++ exp=GETEXPUN(df) // get unbiased exponent .. ++ +decFloatDigits(df)-1; // .. and make adjusted exponent ++ return (exp>=DECEMIN); // < DECEMIN is subnormal ++ } ++uInt decFloatIsPositive(const decFloat *df) { ++ return !DFISSIGNED(df) && !DFISZERO(df) && !DFISNAN(df); ++ } ++uInt decFloatIsSignaling(const decFloat *df) { ++ return DFISSNAN(df); ++ } ++uInt decFloatIsSignalling(const decFloat *df) { ++ return DFISSNAN(df); ++ } ++uInt decFloatIsSigned(const decFloat *df) { ++ return DFISSIGNED(df); ++ } ++uInt decFloatIsSubnormal(const decFloat *df) { ++ if (DFISSPECIAL(df)) return 0; ++ // is finite ++ if (decFloatIsNormal(df)) return 0; ++ // it is Use |A| */ ++/* A=0 -> -Infinity (Division by zero) */ ++/* A=Infinite -> +Infinity (Exact) */ ++/* A=1 exactly -> 0 (Exact) */ ++/* NaNs are propagated as usual */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatLogB(decFloat *result, const decFloat *df, ++ decContext *set) { ++ Int ae; // adjusted exponent ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); ++ if (DFISINF(df)) { ++ DFWORD(result, 0)=0; // need +ve ++ return decInfinity(result, result); // canonical +Infinity ++ } ++ if (DFISZERO(df)) { ++ set->status|=DEC_Division_by_zero; // as per 754 ++ DFWORD(result, 0)=DECFLOAT_Sign; // make negative ++ return decInfinity(result, result); // canonical -Infinity ++ } ++ ae=GETEXPUN(df) // get unbiased exponent .. ++ +decFloatDigits(df)-1; // .. and make adjusted exponent ++ // ae has limited range (3 digits for DOUBLE and 4 for QUAD), so ++ // it is worth using a special case of decFloatFromInt32 ++ DFWORD(result, 0)=ZEROWORD; // always ++ if (ae<0) { ++ DFWORD(result, 0)|=DECFLOAT_Sign; // -0 so far ++ ae=-ae; ++ } ++ #if DOUBLE ++ DFWORD(result, 1)=BIN2DPD[ae]; // a single declet ++ #elif QUAD ++ DFWORD(result, 1)=0; ++ DFWORD(result, 2)=0; ++ DFWORD(result, 3)=(ae/1000)<<10; // is <10, so need no DPD encode ++ DFWORD(result, 3)|=BIN2DPD[ae%1000]; ++ #endif ++ return result; ++ } // decFloatLogB ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMax -- return maxnum of two operands */ ++/* */ ++/* result gets the chosen decFloat */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* If just one operand is a quiet NaN it is ignored. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMax(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; ++ if (DFISNAN(dfl)) { ++ // sNaN or both NaNs leads to normal NaN processing ++ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set); ++ return decCanonical(result, dfr); // RHS is numeric ++ } ++ if (DFISNAN(dfr)) { ++ // sNaN leads to normal NaN processing (both NaN handled above) ++ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ return decCanonical(result, dfl); // LHS is numeric ++ } ++ // Both operands are numeric; numeric comparison needed -- use ++ // total order for a well-defined choice (and +0 > -0) ++ comp=decNumCompare(dfl, dfr, 1); ++ if (comp>=0) return decCanonical(result, dfl); ++ return decCanonical(result, dfr); ++ } // decFloatMax ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMaxMag -- return maxnummag of two operands */ ++/* */ ++/* result gets the chosen decFloat */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* Returns according to the magnitude comparisons if both numeric and */ ++/* unequal, otherwise returns maxnum */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMaxMag(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; ++ decFloat absl, absr; ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMax(result, dfl, dfr, set); ++ ++ decFloatCopyAbs(&absl, dfl); ++ decFloatCopyAbs(&absr, dfr); ++ comp=decNumCompare(&absl, &absr, 0); ++ if (comp>0) return decCanonical(result, dfl); ++ if (comp<0) return decCanonical(result, dfr); ++ return decFloatMax(result, dfl, dfr, set); ++ } // decFloatMaxMag ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMin -- return minnum of two operands */ ++/* */ ++/* result gets the chosen decFloat */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* If just one operand is a quiet NaN it is ignored. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMin(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; ++ if (DFISNAN(dfl)) { ++ // sNaN or both NaNs leads to normal NaN processing ++ if (DFISNAN(dfr) || DFISSNAN(dfl)) return decNaNs(result, dfl, dfr, set); ++ return decCanonical(result, dfr); // RHS is numeric ++ } ++ if (DFISNAN(dfr)) { ++ // sNaN leads to normal NaN processing (both NaN handled above) ++ if (DFISSNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ return decCanonical(result, dfl); // LHS is numeric ++ } ++ // Both operands are numeric; numeric comparison needed -- use ++ // total order for a well-defined choice (and +0 > -0) ++ comp=decNumCompare(dfl, dfr, 1); ++ if (comp<=0) return decCanonical(result, dfl); ++ return decCanonical(result, dfr); ++ } // decFloatMin ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMinMag -- return minnummag of two operands */ ++/* */ ++/* result gets the chosen decFloat */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* Returns according to the magnitude comparisons if both numeric and */ ++/* unequal, otherwise returns minnum */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMinMag(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int comp; ++ decFloat absl, absr; ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decFloatMin(result, dfl, dfr, set); ++ ++ decFloatCopyAbs(&absl, dfl); ++ decFloatCopyAbs(&absr, dfr); ++ comp=decNumCompare(&absl, &absr, 0); ++ if (comp<0) return decCanonical(result, dfl); ++ if (comp>0) return decCanonical(result, dfr); ++ return decFloatMin(result, dfl, dfr, set); ++ } // decFloatMinMag ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMinus -- negate value, heeding NaNs, etc. */ ++/* */ ++/* result gets the canonicalized 0-df */ ++/* df is the decFloat to minus */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This has the same effect as 0-df where the exponent of the zero is */ ++/* the same as that of df (if df is finite). */ ++/* The effect is also the same as decFloatCopyNegate except that NaNs */ ++/* are handled normally (the sign of a NaN is not affected, and an */ ++/* sNaN will signal), the result is canonical, and zero gets sign 0. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMinus(decFloat *result, const decFloat *df, ++ decContext *set) { ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); ++ decCanonical(result, df); // copy and check ++ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit ++ else DFBYTE(result, 0)^=0x80; // flip sign bit ++ return result; ++ } // decFloatMinus ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatMultiply -- multiply two decFloats */ ++/* */ ++/* result gets the result of multiplying dfl and dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatMultiply(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ bcdnum num; // for final conversion ++ uByte bcdacc[DECPMAX9*18+1]; // for coefficent in BCD ++ ++ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { // either is special? ++ // NaNs are handled as usual ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ // infinity times zero is bad ++ if (DFISINF(dfl) && DFISZERO(dfr)) return decInvalid(result, set); ++ if (DFISINF(dfr) && DFISZERO(dfl)) return decInvalid(result, set); ++ // both infinite; return canonical infinity with computed sign ++ DFWORD(result, 0)=DFWORD(dfl, 0)^DFWORD(dfr, 0); // compute sign ++ return decInfinity(result, result); ++ } ++ ++ /* Here when both operands are finite */ ++ decFiniteMultiply(&num, bcdacc, dfl, dfr); ++ return decFinalize(result, &num, set); // round, check, and lay out ++ } // decFloatMultiply ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatNextMinus -- next towards -Infinity */ ++/* */ ++/* result gets the next lesser decFloat */ ++/* dfl is the decFloat to start with */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This is 754 nextdown; Invalid is the only status possible (from */ ++/* an sNaN). */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatNextMinus(decFloat *result, const decFloat *dfl, ++ decContext *set) { ++ decFloat delta; // tiny increment ++ uInt savestat; // saves status ++ enum rounding saveround; // .. and mode ++ ++ // +Infinity is the special case ++ if (DFISINF(dfl) && !DFISSIGNED(dfl)) { ++ DFSETNMAX(result); ++ return result; // [no status to set] ++ } ++ // other cases are effected by sutracting a tiny delta -- this ++ // should be done in a wider format as the delta is unrepresentable ++ // here (but can be done with normal add if the sign of zero is ++ // treated carefully, because no Inexactitude is interesting); ++ // rounding to -Infinity then pushes the result to next below ++ decFloatZero(&delta); // set up tiny delta ++ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1 ++ DFWORD(&delta, 0)=DECFLOAT_Sign; // Sign=1 + biased exponent=0 ++ // set up for the directional round ++ saveround=set->round; // save mode ++ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity ++ savestat=set->status; // save status ++ decFloatAdd(result, dfl, &delta, set); ++ // Add rules mess up the sign when going from +Ntiny to 0 ++ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct ++ set->status&=DEC_Invalid_operation; // preserve only sNaN status ++ set->status|=savestat; // restore pending flags ++ set->round=saveround; // .. and mode ++ return result; ++ } // decFloatNextMinus ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatNextPlus -- next towards +Infinity */ ++/* */ ++/* result gets the next larger decFloat */ ++/* dfl is the decFloat to start with */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This is 754 nextup; Invalid is the only status possible (from */ ++/* an sNaN). */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatNextPlus(decFloat *result, const decFloat *dfl, ++ decContext *set) { ++ uInt savestat; // saves status ++ enum rounding saveround; // .. and mode ++ decFloat delta; // tiny increment ++ ++ // -Infinity is the special case ++ if (DFISINF(dfl) && DFISSIGNED(dfl)) { ++ DFSETNMAX(result); ++ DFWORD(result, 0)|=DECFLOAT_Sign; // make negative ++ return result; // [no status to set] ++ } ++ // other cases are effected by sutracting a tiny delta -- this ++ // should be done in a wider format as the delta is unrepresentable ++ // here (but can be done with normal add if the sign of zero is ++ // treated carefully, because no Inexactitude is interesting); ++ // rounding to +Infinity then pushes the result to next above ++ decFloatZero(&delta); // set up tiny delta ++ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1 ++ DFWORD(&delta, 0)=0; // Sign=0 + biased exponent=0 ++ // set up for the directional round ++ saveround=set->round; // save mode ++ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity ++ savestat=set->status; // save status ++ decFloatAdd(result, dfl, &delta, set); ++ // Add rules mess up the sign when going from -Ntiny to -0 ++ if (DFISZERO(result)) DFWORD(result, 0)^=DECFLOAT_Sign; // correct ++ set->status&=DEC_Invalid_operation; // preserve only sNaN status ++ set->status|=savestat; // restore pending flags ++ set->round=saveround; // .. and mode ++ return result; ++ } // decFloatNextPlus ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatNextToward -- next towards a decFloat */ ++/* */ ++/* result gets the next decFloat */ ++/* dfl is the decFloat to start with */ ++/* dfr is the decFloat to move toward */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This is 754-1985 nextafter, as modified during revision (dropped */ ++/* from 754-2008); status may be set unless the result is a normal */ ++/* number. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatNextToward(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ decFloat delta; // tiny increment or decrement ++ decFloat pointone; // 1e-1 ++ uInt savestat; // saves status ++ enum rounding saveround; // .. and mode ++ uInt deltatop; // top word for delta ++ Int comp; // work ++ ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ // Both are numeric, so Invalid no longer a possibility ++ comp=decNumCompare(dfl, dfr, 0); ++ if (comp==0) return decFloatCopySign(result, dfl, dfr); // equal ++ // unequal; do NextPlus or NextMinus but with different status rules ++ ++ if (comp<0) { // lhsround; // save mode ++ set->round=DEC_ROUND_CEILING; // .. round towards +Infinity ++ deltatop=0; // positive delta ++ } ++ else { // lhs>rhs, do NextMinus, see above for commentary ++ if (DFISINF(dfl) && !DFISSIGNED(dfl)) { // +Infinity special case ++ DFSETNMAX(result); ++ return result; ++ } ++ saveround=set->round; // save mode ++ set->round=DEC_ROUND_FLOOR; // .. round towards -Infinity ++ deltatop=DECFLOAT_Sign; // negative delta ++ } ++ savestat=set->status; // save status ++ // Here, Inexact is needed where appropriate (and hence Underflow, ++ // etc.). Therefore the tiny delta which is otherwise ++ // unrepresentable (see NextPlus and NextMinus) is constructed ++ // using the multiplication of FMA. ++ decFloatZero(&delta); // set up tiny delta ++ DFWORD(&delta, DECWORDS-1)=1; // coefficient=1 ++ DFWORD(&delta, 0)=deltatop; // Sign + biased exponent=0 ++ decFloatFromString(&pointone, "1E-1", set); // set up multiplier ++ decFloatFMA(result, &delta, &pointone, dfl, set); ++ // [Delta is truly tiny, so no need to correct sign of zero] ++ // use new status unless the result is normal ++ if (decFloatIsNormal(result)) set->status=savestat; // else goes forward ++ set->round=saveround; // restore mode ++ return result; ++ } // decFloatNextToward ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatOr -- logical digitwise OR of two decFloats */ ++/* */ ++/* result gets the result of ORing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result, which will be canonical with sign=0 */ ++/* */ ++/* The operands must be positive, finite with exponent q=0, and */ ++/* comprise just zeros and ones; if not, Invalid operation results. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatOr(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ if (!DFISUINT01(dfl) || !DFISUINT01(dfr) ++ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set); ++ // the operands are positive finite integers (q=0) with just 0s and 1s ++ #if DOUBLE ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04009124); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x49124491; ++ #elif QUAD ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) | DFWORD(dfr, 0))&0x04000912); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) | DFWORD(dfr, 1))&0x44912449; ++ DFWORD(result, 2)=(DFWORD(dfl, 2) | DFWORD(dfr, 2))&0x12449124; ++ DFWORD(result, 3)=(DFWORD(dfl, 3) | DFWORD(dfr, 3))&0x49124491; ++ #endif ++ return result; ++ } // decFloatOr ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatPlus -- add value to 0, heeding NaNs, etc. */ ++/* */ ++/* result gets the canonicalized 0+df */ ++/* df is the decFloat to plus */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This has the same effect as 0+df where the exponent of the zero is */ ++/* the same as that of df (if df is finite). */ ++/* The effect is also the same as decFloatCopy except that NaNs */ ++/* are handled normally (the sign of a NaN is not affected, and an */ ++/* sNaN will signal), the result is canonical, and zero gets sign 0. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatPlus(decFloat *result, const decFloat *df, ++ decContext *set) { ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); ++ decCanonical(result, df); // copy and check ++ if (DFISZERO(df)) DFBYTE(result, 0)&=~0x80; // turn off sign bit ++ return result; ++ } // decFloatPlus ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatQuantize -- quantize a decFloat */ ++/* */ ++/* result gets the result of quantizing dfl to match dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs), which sets the exponent */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* Unless there is an error or the result is infinite, the exponent */ ++/* of result is guaranteed to be the same as that of dfr. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatQuantize(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int explb, exprb; // left and right biased exponents ++ uByte *ulsd; // local LSD pointer ++ uByte *ub, *uc; // work ++ Int drop; // .. ++ uInt dpd; // .. ++ uInt encode; // encoding accumulator ++ uInt sourhil, sourhir; // top words from source decFloats ++ uInt uiwork; // for macros ++ #if QUAD ++ uShort uswork; // .. ++ #endif ++ // the following buffer holds the coefficient for manipulation ++ uByte buf[4+DECPMAX*3+2*QUAD]; // + space for zeros to left or right ++ #if DECTRACE ++ bcdnum num; // for trace displays ++ #endif ++ ++ /* Start decoding the arguments */ ++ sourhil=DFWORD(dfl, 0); // LHS top word ++ explb=DECCOMBEXP[sourhil>>26]; // get exponent high bits (in place) ++ sourhir=DFWORD(dfr, 0); // RHS top word ++ exprb=DECCOMBEXP[sourhir>>26]; ++ ++ if (EXPISSPECIAL(explb | exprb)) { // either is special? ++ // NaNs are handled as usual ++ if (DFISNAN(dfl) || DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ // one infinity but not both is bad ++ if (DFISINF(dfl)!=DFISINF(dfr)) return decInvalid(result, set); ++ // both infinite; return canonical infinity with sign of LHS ++ return decInfinity(result, dfl); ++ } ++ ++ /* Here when both arguments are finite */ ++ // complete extraction of the exponents [no need to unbias] ++ explb+=GETECON(dfl); // + continuation ++ exprb+=GETECON(dfr); // .. ++ ++ // calculate the number of digits to drop from the coefficient ++ drop=exprb-explb; // 0 if nothing to do ++ if (drop==0) return decCanonical(result, dfl); // return canonical ++ ++ // the coefficient is needed; lay it out into buf, offset so zeros ++ // can be added before or after as needed -- an extra heading is ++ // added so can safely pad Quad DECPMAX-1 zeros to the left by ++ // fours ++ #define BUFOFF (buf+4+DECPMAX) ++ GETCOEFF(dfl, BUFOFF); // decode from decFloat ++ // [now the msd is at BUFOFF and the lsd is at BUFOFF+DECPMAX-1] ++ ++ #if DECTRACE ++ num.msd=BUFOFF; ++ num.lsd=BUFOFF+DECPMAX-1; ++ num.exponent=explb-DECBIAS; ++ num.sign=sourhil & DECFLOAT_Sign; ++ decShowNum(&num, "dfl"); ++ #endif ++ ++ if (drop>0) { // [most common case] ++ // (this code is very similar to that in decFloatFinalize, but ++ // has many differences so is duplicated here -- so any changes ++ // may need to be made there, too) ++ uByte *roundat; // -> re-round digit ++ uByte reround; // reround value ++ // printf("Rounding; drop=%ld\n", (LI)drop); ++ ++ // there is at least one zero needed to the left, in all but one ++ // exceptional (all-nines) case, so place four zeros now; this is ++ // needed almost always and makes rounding all-nines by fours safe ++ UBFROMUI(BUFOFF-4, 0); ++ ++ // Three cases here: ++ // 1. new LSD is in coefficient (almost always) ++ // 2. new LSD is digit to left of coefficient (so MSD is ++ // round-for-reround digit) ++ // 3. new LSD is to left of case 2 (whole coefficient is sticky) ++ // Note that leading zeros can safely be treated as useful digits ++ ++ // [duplicate check-stickies code to save a test] ++ // [by-digit check for stickies as runs of zeros are rare] ++ if (dropstatus|=DEC_Inexact; ++ ++ // next decide whether to increment the coefficient ++ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case ++ if (reround>5) bump=1; // >0.5 goes up ++ else if (reround==5) // exactly 0.5000 .. ++ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd ++ } // r-h-e ++ else switch (set->round) { ++ case DEC_ROUND_DOWN: { ++ // no change ++ break;} // r-d ++ case DEC_ROUND_HALF_DOWN: { ++ if (reround>5) bump=1; ++ break;} // r-h-d ++ case DEC_ROUND_HALF_UP: { ++ if (reround>=5) bump=1; ++ break;} // r-h-u ++ case DEC_ROUND_UP: { ++ if (reround>0) bump=1; ++ break;} // r-u ++ case DEC_ROUND_CEILING: { ++ // same as _UP for positive numbers, and as _DOWN for negatives ++ if (!(sourhil&DECFLOAT_Sign) && reround>0) bump=1; ++ break;} // r-c ++ case DEC_ROUND_FLOOR: { ++ // same as _UP for negative numbers, and as _DOWN for positive ++ // [negative reround cannot occur on 0] ++ if (sourhil&DECFLOAT_Sign && reround>0) bump=1; ++ break;} // r-f ++ case DEC_ROUND_05UP: { ++ if (reround>0) { // anything out there is 'sticky' ++ // bump iff lsd=0 or 5; this cannot carry so it could be ++ // effected immediately with no bump -- but the code ++ // is clearer if this is done the same way as the others ++ if (*ulsd==0 || *ulsd==5) bump=1; ++ } ++ break;} // r-r ++ default: { // e.g., DEC_ROUND_MAX ++ set->status|=DEC_Invalid_context; ++ #if DECCHECK ++ printf("Unknown rounding mode: %ld\n", (LI)set->round); ++ #endif ++ break;} ++ } // switch (not r-h-e) ++ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump); ++ ++ if (bump!=0) { // need increment ++ // increment the coefficient; this could give 1000... (after ++ // the all nines case) ++ ub=ulsd; ++ for (; UBTOUI(ub-3)==0x09090909; ub-=4) UBFROMUI(ub-3, 0); ++ // now at most 3 digits left to non-9 (usually just the one) ++ for (; *ub==9; ub--) *ub=0; ++ *ub+=1; ++ // [the all-nines case will have carried one digit to the ++ // left of the original MSD -- just where it is needed] ++ } // bump needed ++ } // inexact rounding ++ ++ // now clear zeros to the left so exactly DECPMAX digits will be ++ // available in the coefficent -- the first word to the left was ++ // cleared earlier for safe carry; now add any more needed ++ if (drop>4) { ++ UBFROMUI(BUFOFF-8, 0); // must be at least 5 ++ for (uc=BUFOFF-12; uc>ulsd-DECPMAX-3; uc-=4) UBFROMUI(uc, 0); ++ } ++ } // need round (drop>0) ++ ++ else { // drop<0; padding with -drop digits is needed ++ // This is the case where an error can occur if the padded ++ // coefficient will not fit; checking for this can be done in the ++ // same loop as padding for zeros if the no-hope and zero cases ++ // are checked first ++ if (-drop>DECPMAX-1) { // cannot fit unless 0 ++ if (!ISCOEFFZERO(BUFOFF)) return decInvalid(result, set); ++ // a zero can have any exponent; just drop through and use it ++ ulsd=BUFOFF+DECPMAX-1; ++ } ++ else { // padding will fit (but may still be too long) ++ // final-word mask depends on endianess ++ #if DECLITEND ++ static const uInt dmask[]={0, 0x000000ff, 0x0000ffff, 0x00ffffff}; ++ #else ++ static const uInt dmask[]={0, 0xff000000, 0xffff0000, 0xffffff00}; ++ #endif ++ // note that here zeros to the right are added by fours, so in ++ // the Quad case this could write 36 zeros if the coefficient has ++ // fewer than three significant digits (hence the +2*QUAD for buf) ++ for (uc=BUFOFF+DECPMAX;; uc+=4) { ++ UBFROMUI(uc, 0); ++ if (UBTOUI(uc-DECPMAX)!=0) { // could be bad ++ // if all four digits should be zero, definitely bad ++ if (uc<=BUFOFF+DECPMAX+(-drop)-4) ++ return decInvalid(result, set); ++ // must be a 1- to 3-digit sequence; check more carefully ++ if ((UBTOUI(uc-DECPMAX)&dmask[(-drop)%4])!=0) ++ return decInvalid(result, set); ++ break; // no need for loop end test ++ } ++ if (uc>=BUFOFF+DECPMAX+(-drop)-4) break; // done ++ } ++ ulsd=BUFOFF+DECPMAX+(-drop)-1; ++ } // pad and check leading zeros ++ } // drop<0 ++ ++ #if DECTRACE ++ num.msd=ulsd-DECPMAX+1; ++ num.lsd=ulsd; ++ num.exponent=explb-DECBIAS; ++ num.sign=sourhil & DECFLOAT_Sign; ++ decShowNum(&num, "res"); ++ #endif ++ ++ /*------------------------------------------------------------------*/ ++ /* At this point the result is DECPMAX digits, ending at ulsd, so */ ++ /* fits the encoding exactly; there is no possibility of error */ ++ /*------------------------------------------------------------------*/ ++ encode=((exprb>>DECECONL)<<4) + *(ulsd-DECPMAX+1); // make index ++ encode=DECCOMBFROM[encode]; // indexed by (0-2)*16+msd ++ // the exponent continuation can be extracted from the original RHS ++ encode|=sourhir & ECONMASK; ++ encode|=sourhil&DECFLOAT_Sign; // add the sign from LHS ++ ++ // finally encode the coefficient ++ // private macro to encode a declet; this version can be used ++ // because all coefficient digits exist ++ #define getDPD3q(dpd, n) ub=ulsd-(3*(n))-2; \ ++ dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)]; ++ ++ #if DOUBLE ++ getDPD3q(dpd, 4); encode|=dpd<<8; ++ getDPD3q(dpd, 3); encode|=dpd>>2; ++ DFWORD(result, 0)=encode; ++ encode=dpd<<30; ++ getDPD3q(dpd, 2); encode|=dpd<<20; ++ getDPD3q(dpd, 1); encode|=dpd<<10; ++ getDPD3q(dpd, 0); encode|=dpd; ++ DFWORD(result, 1)=encode; ++ ++ #elif QUAD ++ getDPD3q(dpd,10); encode|=dpd<<4; ++ getDPD3q(dpd, 9); encode|=dpd>>6; ++ DFWORD(result, 0)=encode; ++ encode=dpd<<26; ++ getDPD3q(dpd, 8); encode|=dpd<<16; ++ getDPD3q(dpd, 7); encode|=dpd<<6; ++ getDPD3q(dpd, 6); encode|=dpd>>4; ++ DFWORD(result, 1)=encode; ++ encode=dpd<<28; ++ getDPD3q(dpd, 5); encode|=dpd<<18; ++ getDPD3q(dpd, 4); encode|=dpd<<8; ++ getDPD3q(dpd, 3); encode|=dpd>>2; ++ DFWORD(result, 2)=encode; ++ encode=dpd<<30; ++ getDPD3q(dpd, 2); encode|=dpd<<20; ++ getDPD3q(dpd, 1); encode|=dpd<<10; ++ getDPD3q(dpd, 0); encode|=dpd; ++ DFWORD(result, 3)=encode; ++ #endif ++ return result; ++ } // decFloatQuantize ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatReduce -- reduce finite coefficient to minimum length */ ++/* */ ++/* result gets the reduced decFloat */ ++/* df is the source decFloat */ ++/* set is the context */ ++/* returns result, which will be canonical */ ++/* */ ++/* This removes all possible trailing zeros from the coefficient; */ ++/* some may remain when the number is very close to Nmax. */ ++/* Special values are unchanged and no status is set unless df=sNaN. */ ++/* Reduced zero has an exponent q=0. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatReduce(decFloat *result, const decFloat *df, ++ decContext *set) { ++ bcdnum num; // work ++ uByte buf[DECPMAX], *ub; // coefficient and pointer ++ if (df!=result) *result=*df; // copy, if needed ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); // sNaN ++ // zeros and infinites propagate too ++ if (DFISINF(df)) return decInfinity(result, df); // canonical ++ if (DFISZERO(df)) { ++ uInt sign=DFWORD(df, 0)&DECFLOAT_Sign; ++ decFloatZero(result); ++ DFWORD(result, 0)|=sign; ++ return result; // exponent dropped, sign OK ++ } ++ // non-zero finite ++ GETCOEFF(df, buf); ++ ub=buf+DECPMAX-1; // -> lsd ++ if (*ub) return result; // no trailing zeros ++ for (ub--; *ub==0;) ub--; // terminates because non-zero ++ // *ub is the first non-zero from the right ++ num.sign=DFWORD(df, 0)&DECFLOAT_Sign; // set up number... ++ num.exponent=GETEXPUN(df)+(Int)(buf+DECPMAX-1-ub); // adjusted exponent ++ num.msd=buf; ++ num.lsd=ub; ++ return decFinalize(result, &num, set); ++ } // decFloatReduce ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatRemainder -- integer divide and return remainder */ ++/* */ ++/* result gets the remainder of dividing dfl by dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatRemainder(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ return decDivide(result, dfl, dfr, set, REMAINDER); ++ } // decFloatRemainder ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatRemainderNear -- integer divide to nearest and remainder */ ++/* */ ++/* result gets the remainder of dividing dfl by dfr: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This is the IEEE remainder, where the nearest integer is used. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatRemainderNear(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ return decDivide(result, dfl, dfr, set, REMNEAR); ++ } // decFloatRemainderNear ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatRotate -- rotate the coefficient of a decFloat left/right */ ++/* */ ++/* result gets the result of rotating dfl */ ++/* dfl is the source decFloat to rotate */ ++/* dfr is the count of digits to rotate, an integer (with q=0) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* The digits of the coefficient of dfl are rotated to the left (if */ ++/* dfr is positive) or to the right (if dfr is negative) without */ ++/* adjusting the exponent or the sign of dfl. */ ++/* */ ++/* dfr must be in the range -DECPMAX through +DECPMAX. */ ++/* NaNs are propagated as usual. An infinite dfl is unaffected (but */ ++/* dfr must be valid). No status is set unless dfr is invalid or an */ ++/* operand is an sNaN. The result is canonical. */ ++/* ------------------------------------------------------------------ */ ++#define PHALF (ROUNDUP(DECPMAX/2, 4)) // half length, rounded up ++decFloat * decFloatRotate(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int rotate; // dfr as an Int ++ uByte buf[DECPMAX+PHALF]; // coefficient + half ++ uInt digits, savestat; // work ++ bcdnum num; // .. ++ uByte *ub; // .. ++ ++ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ if (!DFISINT(dfr)) return decInvalid(result, set); ++ digits=decFloatDigits(dfr); // calculate digits ++ if (digits>2) return decInvalid(result, set); // definitely out of range ++ rotate=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet ++ if (rotate>DECPMAX) return decInvalid(result, set); // too big ++ // [from here on no error or status change is possible] ++ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical ++ // handle no-rotate cases ++ if (rotate==0 || rotate==DECPMAX) return decCanonical(result, dfl); ++ // a real rotate is needed: 0 < rotate < DECPMAX ++ // reduce the rotation to no more than half to reduce copying later ++ // (for QUAD in fact half + 2 digits) ++ if (DFISSIGNED(dfr)) rotate=-rotate; ++ if (abs(rotate)>PHALF) { ++ if (rotate<0) rotate=DECPMAX+rotate; ++ else rotate=rotate-DECPMAX; ++ } ++ // now lay out the coefficient, leaving room to the right or the ++ // left depending on the direction of rotation ++ ub=buf; ++ if (rotate<0) ub+=PHALF; // rotate right, so space to left ++ GETCOEFF(dfl, ub); ++ // copy half the digits to left or right, and set num.msd ++ if (rotate<0) { ++ memcpy(buf, buf+DECPMAX, PHALF); ++ num.msd=buf+PHALF+rotate; ++ } ++ else { ++ memcpy(buf+DECPMAX, buf, PHALF); ++ num.msd=buf+rotate; ++ } ++ // fill in rest of num ++ num.lsd=num.msd+DECPMAX-1; ++ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign; ++ num.exponent=GETEXPUN(dfl); ++ savestat=set->status; // record ++ decFinalize(result, &num, set); ++ set->status=savestat; // restore ++ return result; ++ } // decFloatRotate ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatSameQuantum -- test decFloats for same quantum */ ++/* */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* returns 1 if the operands have the same quantum, 0 otherwise */ ++/* */ ++/* No error is possible and no status results. */ ++/* ------------------------------------------------------------------ */ ++uInt decFloatSameQuantum(const decFloat *dfl, const decFloat *dfr) { ++ if (DFISSPECIAL(dfl) || DFISSPECIAL(dfr)) { ++ if (DFISNAN(dfl) && DFISNAN(dfr)) return 1; ++ if (DFISINF(dfl) && DFISINF(dfr)) return 1; ++ return 0; // any other special mixture gives false ++ } ++ if (GETEXP(dfl)==GETEXP(dfr)) return 1; // biased exponents match ++ return 0; ++ } // decFloatSameQuantum ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatScaleB -- multiply by a power of 10, as per 754 */ ++/* */ ++/* result gets the result of the operation */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs), am integer (with q=0) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* This computes result=dfl x 10**dfr where dfr is an integer in the */ ++/* range +/-2*(emax+pmax), typically resulting from LogB. */ ++/* Underflow and Overflow (with Inexact) may occur. NaNs propagate */ ++/* as usual. */ ++/* ------------------------------------------------------------------ */ ++#define SCALEBMAX 2*(DECEMAX+DECPMAX) // D=800, Q=12356 ++decFloat * decFloatScaleB(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ uInt digits; // work ++ Int expr; // dfr as an Int ++ ++ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ if (!DFISINT(dfr)) return decInvalid(result, set); ++ digits=decFloatDigits(dfr); // calculate digits ++ ++ #if DOUBLE ++ if (digits>3) return decInvalid(result, set); // definitely out of range ++ expr=DPD2BIN[DFWORD(dfr, 1)&0x3ff]; // must be in bottom declet ++ #elif QUAD ++ if (digits>5) return decInvalid(result, set); // definitely out of range ++ expr=DPD2BIN[DFWORD(dfr, 3)&0x3ff] // in bottom 2 declets .. ++ +DPD2BIN[(DFWORD(dfr, 3)>>10)&0x3ff]*1000; // .. ++ #endif ++ if (expr>SCALEBMAX) return decInvalid(result, set); // oops ++ // [from now on no error possible] ++ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical ++ if (DFISSIGNED(dfr)) expr=-expr; ++ // dfl is finite and expr is valid ++ *result=*dfl; // copy to target ++ return decFloatSetExponent(result, set, GETEXPUN(result)+expr); ++ } // decFloatScaleB ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatShift -- shift the coefficient of a decFloat left or right */ ++/* */ ++/* result gets the result of shifting dfl */ ++/* dfl is the source decFloat to shift */ ++/* dfr is the count of digits to shift, an integer (with q=0) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* The digits of the coefficient of dfl are shifted to the left (if */ ++/* dfr is positive) or to the right (if dfr is negative) without */ ++/* adjusting the exponent or the sign of dfl. */ ++/* */ ++/* dfr must be in the range -DECPMAX through +DECPMAX. */ ++/* NaNs are propagated as usual. An infinite dfl is unaffected (but */ ++/* dfr must be valid). No status is set unless dfr is invalid or an */ ++/* operand is an sNaN. The result is canonical. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatShift(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ Int shift; // dfr as an Int ++ uByte buf[DECPMAX*2]; // coefficient + padding ++ uInt digits, savestat; // work ++ bcdnum num; // .. ++ uInt uiwork; // for macros ++ ++ if (DFISNAN(dfl)||DFISNAN(dfr)) return decNaNs(result, dfl, dfr, set); ++ if (!DFISINT(dfr)) return decInvalid(result, set); ++ digits=decFloatDigits(dfr); // calculate digits ++ if (digits>2) return decInvalid(result, set); // definitely out of range ++ shift=DPD2BIN[DFWORD(dfr, DECWORDS-1)&0x3ff]; // is in bottom declet ++ if (shift>DECPMAX) return decInvalid(result, set); // too big ++ // [from here on no error or status change is possible] ++ ++ if (DFISINF(dfl)) return decInfinity(result, dfl); // canonical ++ // handle no-shift and all-shift (clear to zero) cases ++ if (shift==0) return decCanonical(result, dfl); ++ if (shift==DECPMAX) { // zero with sign ++ uByte sign=(uByte)(DFBYTE(dfl, 0)&0x80); // save sign bit ++ decFloatZero(result); // make +0 ++ DFBYTE(result, 0)=(uByte)(DFBYTE(result, 0)|sign); // and set sign ++ // [cannot safely use CopySign] ++ return result; ++ } ++ // a real shift is needed: 0 < shift < DECPMAX ++ num.sign=DFWORD(dfl, 0)&DECFLOAT_Sign; ++ num.exponent=GETEXPUN(dfl); ++ num.msd=buf; ++ GETCOEFF(dfl, buf); ++ if (DFISSIGNED(dfr)) { // shift right ++ // edge cases are taken care of, so this is easy ++ num.lsd=buf+DECPMAX-shift-1; ++ } ++ else { // shift left -- zero padding needed to right ++ UBFROMUI(buf+DECPMAX, 0); // 8 will handle most cases ++ UBFROMUI(buf+DECPMAX+4, 0); // .. ++ if (shift>8) memset(buf+DECPMAX+8, 0, 8+QUAD*18); // all other cases ++ num.msd+=shift; ++ num.lsd=num.msd+DECPMAX-1; ++ } ++ savestat=set->status; // record ++ decFinalize(result, &num, set); ++ set->status=savestat; // restore ++ return result; ++ } // decFloatShift ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatSubtract -- subtract a decFloat from another */ ++/* */ ++/* result gets the result of subtracting dfr from dfl: */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatSubtract(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ decFloat temp; ++ // NaNs must propagate without sign change ++ if (DFISNAN(dfr)) return decFloatAdd(result, dfl, dfr, set); ++ temp=*dfr; // make a copy ++ DFBYTE(&temp, 0)^=0x80; // flip sign ++ return decFloatAdd(result, dfl, &temp, set); // and add to the lhs ++ } // decFloatSubtract ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToInt -- round to 32-bit binary integer (4 flavours) */ ++/* */ ++/* df is the decFloat to round */ ++/* set is the context */ ++/* round is the rounding mode to use */ ++/* returns a uInt or an Int, rounded according to the name */ ++/* */ ++/* Invalid will always be signaled if df is a NaN, is Infinite, or is */ ++/* outside the range of the target; Inexact will not be signaled for */ ++/* simple rounding unless 'Exact' appears in the name. */ ++/* ------------------------------------------------------------------ */ ++uInt decFloatToUInt32(const decFloat *df, decContext *set, ++ enum rounding round) { ++ return decToInt32(df, set, round, 0, 1);} ++ ++uInt decFloatToUInt32Exact(const decFloat *df, decContext *set, ++ enum rounding round) { ++ return decToInt32(df, set, round, 1, 1);} ++ ++Int decFloatToInt32(const decFloat *df, decContext *set, ++ enum rounding round) { ++ return (Int)decToInt32(df, set, round, 0, 0);} ++ ++Int decFloatToInt32Exact(const decFloat *df, decContext *set, ++ enum rounding round) { ++ return (Int)decToInt32(df, set, round, 1, 0);} ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToIntegral -- round to integral value (two flavours) */ ++/* */ ++/* result gets the result */ ++/* df is the decFloat to round */ ++/* set is the context */ ++/* round is the rounding mode to use */ ++/* returns result */ ++/* */ ++/* No exceptions, even Inexact, are raised except for sNaN input, or */ ++/* if 'Exact' appears in the name. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatToIntegralValue(decFloat *result, const decFloat *df, ++ decContext *set, enum rounding round) { ++ return decToIntegral(result, df, set, round, 0);} ++ ++decFloat * decFloatToIntegralExact(decFloat *result, const decFloat *df, ++ decContext *set) { ++ return decToIntegral(result, df, set, set->round, 1);} ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatXor -- logical digitwise XOR of two decFloats */ ++/* */ ++/* result gets the result of XORing dfl and dfr */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) */ ++/* set is the context */ ++/* returns result, which will be canonical with sign=0 */ ++/* */ ++/* The operands must be positive, finite with exponent q=0, and */ ++/* comprise just zeros and ones; if not, Invalid operation results. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatXor(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ if (!DFISUINT01(dfl) || !DFISUINT01(dfr) ++ || !DFISCC01(dfl) || !DFISCC01(dfr)) return decInvalid(result, set); ++ // the operands are positive finite integers (q=0) with just 0s and 1s ++ #if DOUBLE ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04009124); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x49124491; ++ #elif QUAD ++ DFWORD(result, 0)=ZEROWORD ++ |((DFWORD(dfl, 0) ^ DFWORD(dfr, 0))&0x04000912); ++ DFWORD(result, 1)=(DFWORD(dfl, 1) ^ DFWORD(dfr, 1))&0x44912449; ++ DFWORD(result, 2)=(DFWORD(dfl, 2) ^ DFWORD(dfr, 2))&0x12449124; ++ DFWORD(result, 3)=(DFWORD(dfl, 3) ^ DFWORD(dfr, 3))&0x49124491; ++ #endif ++ return result; ++ } // decFloatXor ++ ++/* ------------------------------------------------------------------ */ ++/* decInvalid -- set Invalid_operation result */ ++/* */ ++/* result gets a canonical NaN */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* status has Invalid_operation added */ ++/* ------------------------------------------------------------------ */ ++static decFloat *decInvalid(decFloat *result, decContext *set) { ++ decFloatZero(result); ++ DFWORD(result, 0)=DECFLOAT_qNaN; ++ set->status|=DEC_Invalid_operation; ++ return result; ++ } // decInvalid ++ ++/* ------------------------------------------------------------------ */ ++/* decInfinity -- set canonical Infinity with sign from a decFloat */ ++/* */ ++/* result gets a canonical Infinity */ ++/* df is source decFloat (only the sign is used) */ ++/* returns result */ ++/* */ ++/* df may be the same as result */ ++/* ------------------------------------------------------------------ */ ++static decFloat *decInfinity(decFloat *result, const decFloat *df) { ++ uInt sign=DFWORD(df, 0); // save source signword ++ decFloatZero(result); // clear everything ++ DFWORD(result, 0)=DECFLOAT_Inf | (sign & DECFLOAT_Sign); ++ return result; ++ } // decInfinity ++ ++/* ------------------------------------------------------------------ */ ++/* decNaNs -- handle NaN argument(s) */ ++/* */ ++/* result gets the result of handling dfl and dfr, one or both of */ ++/* which is a NaN */ ++/* dfl is the first decFloat (lhs) */ ++/* dfr is the second decFloat (rhs) -- may be NULL for a single- */ ++/* operand operation */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* Called when one or both operands is a NaN, and propagates the */ ++/* appropriate result to res. When an sNaN is found, it is changed */ ++/* to a qNaN and Invalid operation is set. */ ++/* ------------------------------------------------------------------ */ ++static decFloat *decNaNs(decFloat *result, ++ const decFloat *dfl, const decFloat *dfr, ++ decContext *set) { ++ // handle sNaNs first ++ if (dfr!=NULL && DFISSNAN(dfr) && !DFISSNAN(dfl)) dfl=dfr; // use RHS ++ if (DFISSNAN(dfl)) { ++ decCanonical(result, dfl); // propagate canonical sNaN ++ DFWORD(result, 0)&=~(DECFLOAT_qNaN ^ DECFLOAT_sNaN); // quiet ++ set->status|=DEC_Invalid_operation; ++ return result; ++ } ++ // one or both is a quiet NaN ++ if (!DFISNAN(dfl)) dfl=dfr; // RHS must be NaN, use it ++ return decCanonical(result, dfl); // propagate canonical qNaN ++ } // decNaNs ++ ++/* ------------------------------------------------------------------ */ ++/* decNumCompare -- numeric comparison of two decFloats */ ++/* */ ++/* dfl is the left-hand decFloat, which is not a NaN */ ++/* dfr is the right-hand decFloat, which is not a NaN */ ++/* tot is 1 for total order compare, 0 for simple numeric */ ++/* returns -1, 0, or +1 for dfldfr */ ++/* */ ++/* No error is possible; status and mode are unchanged. */ ++/* ------------------------------------------------------------------ */ ++static Int decNumCompare(const decFloat *dfl, const decFloat *dfr, Flag tot) { ++ Int sigl, sigr; // LHS and RHS non-0 signums ++ Int shift; // shift needed to align operands ++ uByte *ub, *uc; // work ++ uInt uiwork; // for macros ++ // buffers +2 if Quad (36 digits), need double plus 4 for safe padding ++ uByte bufl[DECPMAX*2+QUAD*2+4]; // for LHS coefficient + padding ++ uByte bufr[DECPMAX*2+QUAD*2+4]; // for RHS coefficient + padding ++ ++ sigl=1; ++ if (DFISSIGNED(dfl)) { ++ if (!DFISSIGNED(dfr)) { // -LHS +RHS ++ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0; ++ return -1; // RHS wins ++ } ++ sigl=-1; ++ } ++ if (DFISSIGNED(dfr)) { ++ if (!DFISSIGNED(dfl)) { // +LHS -RHS ++ if (DFISZERO(dfl) && DFISZERO(dfr) && !tot) return 0; ++ return +1; // LHS wins ++ } ++ } ++ ++ // signs are the same; operand(s) could be zero ++ sigr=-sigl; // sign to return if abs(RHS) wins ++ ++ if (DFISINF(dfl)) { ++ if (DFISINF(dfr)) return 0; // both infinite & same sign ++ return sigl; // inf > n ++ } ++ if (DFISINF(dfr)) return sigr; // n < inf [dfl is finite] ++ ++ // here, both are same sign and finite; calculate their offset ++ shift=GETEXP(dfl)-GETEXP(dfr); // [0 means aligned] ++ // [bias can be ignored -- the absolute exponent is not relevant] ++ ++ if (DFISZERO(dfl)) { ++ if (!DFISZERO(dfr)) return sigr; // LHS=0, RHS!=0 ++ // both are zero, return 0 if both same exponent or numeric compare ++ if (shift==0 || !tot) return 0; ++ if (shift>0) return sigl; ++ return sigr; // [shift<0] ++ } ++ else { // LHS!=0 ++ if (DFISZERO(dfr)) return sigl; // LHS!=0, RHS=0 ++ } ++ // both are known to be non-zero at this point ++ ++ // if the exponents are so different that the coefficients do not ++ // overlap (by even one digit) then a full comparison is not needed ++ if (abs(shift)>=DECPMAX) { // no overlap ++ // coefficients are known to be non-zero ++ if (shift>0) return sigl; ++ return sigr; // [shift<0] ++ } ++ ++ // decode the coefficients ++ // (shift both right two if Quad to make a multiple of four) ++ #if QUAD ++ UBFROMUI(bufl, 0); ++ UBFROMUI(bufr, 0); ++ #endif ++ GETCOEFF(dfl, bufl+QUAD*2); // decode from decFloat ++ GETCOEFF(dfr, bufr+QUAD*2); // .. ++ if (shift==0) { // aligned; common and easy ++ // all multiples of four, here ++ for (ub=bufl, uc=bufr; ub*uc) return sigl; // difference found ++ if (*ub<*uc) return sigr; // .. ++ } ++ } ++ } // aligned ++ else if (shift>0) { // lhs to left ++ ub=bufl; // RHS pointer ++ // pad bufl so right-aligned; most shifts will fit in 8 ++ UBFROMUI(bufl+DECPMAX+QUAD*2, 0); // add eight zeros ++ UBFROMUI(bufl+DECPMAX+QUAD*2+4, 0); // .. ++ if (shift>8) { ++ // more than eight; fill the rest, and also worth doing the ++ // lead-in by fours ++ uByte *up; // work ++ uByte *upend=bufl+DECPMAX+QUAD*2+shift; ++ for (up=bufl+DECPMAX+QUAD*2+8; upbufl+shift-4) break; ++ } ++ } ++ // check remaining leading digits ++ for (; ub*uc) return sigl; // difference found ++ if (*ub<*uc) return sigr; // .. ++ } ++ } // mismatch ++ if (uc==bufr+QUAD*2+DECPMAX-4) break; // all checked ++ } ++ } // shift>0 ++ ++ else { // shift<0) .. RHS is to left of LHS; mirror shift>0 ++ uc=bufr; // RHS pointer ++ // pad bufr so right-aligned; most shifts will fit in 8 ++ UBFROMUI(bufr+DECPMAX+QUAD*2, 0); // add eight zeros ++ UBFROMUI(bufr+DECPMAX+QUAD*2+4, 0); // .. ++ if (shift<-8) { ++ // more than eight; fill the rest, and also worth doing the ++ // lead-in by fours ++ uByte *up; // work ++ uByte *upend=bufr+DECPMAX+QUAD*2-shift; ++ for (up=bufr+DECPMAX+QUAD*2+8; upbufr-shift-4) break; ++ } ++ } ++ // check remaining leading digits ++ for (; uc*uc) return sigl; // difference found ++ if (*ub<*uc) return sigr; // .. ++ } ++ } // mismatch ++ if (ub==bufl+QUAD*2+DECPMAX-4) break; // all checked ++ } ++ } // shift<0 ++ ++ // Here when compare equal ++ if (!tot) return 0; // numerically equal ++ // total ordering .. exponent matters ++ if (shift>0) return sigl; // total order by exponent ++ if (shift<0) return sigr; // .. ++ return 0; ++ } // decNumCompare ++ ++/* ------------------------------------------------------------------ */ ++/* decToInt32 -- local routine to effect ToInteger conversions */ ++/* */ ++/* df is the decFloat to convert */ ++/* set is the context */ ++/* rmode is the rounding mode to use */ ++/* exact is 1 if Inexact should be signalled */ ++/* unsign is 1 if the result a uInt, 0 if an Int (cast to uInt) */ ++/* returns 32-bit result as a uInt */ ++/* */ ++/* Invalid is set is df is a NaN, is infinite, or is out-of-range; in */ ++/* these cases 0 is returned. */ ++/* ------------------------------------------------------------------ */ ++static uInt decToInt32(const decFloat *df, decContext *set, ++ enum rounding rmode, Flag exact, Flag unsign) { ++ Int exp; // exponent ++ uInt sourhi, sourpen, sourlo; // top word from source decFloat .. ++ uInt hi, lo; // .. penultimate, least, etc. ++ decFloat zero, result; // work ++ Int i; // .. ++ ++ /* Start decoding the argument */ ++ sourhi=DFWORD(df, 0); // top word ++ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place) ++ if (EXPISSPECIAL(exp)) { // is special? ++ set->status|=DEC_Invalid_operation; // signal ++ return 0; ++ } ++ ++ /* Here when the argument is finite */ ++ if (GETEXPUN(df)==0) result=*df; // already a true integer ++ else { // need to round to integer ++ enum rounding saveround; // saver ++ uInt savestatus; // .. ++ saveround=set->round; // save rounding mode .. ++ savestatus=set->status; // .. and status ++ set->round=rmode; // set mode ++ decFloatZero(&zero); // make 0E+0 ++ set->status=0; // clear ++ decFloatQuantize(&result, df, &zero, set); // [this may fail] ++ set->round=saveround; // restore rounding mode .. ++ if (exact) set->status|=savestatus; // include Inexact ++ else set->status=savestatus; // .. or just original status ++ } ++ ++ // only the last four declets of the coefficient can contain ++ // non-zero; check for others (and also NaN or Infinity from the ++ // Quantize) first (see DFISZERO for explanation): ++ // decFloatShow(&result, "sofar"); ++ #if DOUBLE ++ if ((DFWORD(&result, 0)&0x1c03ff00)!=0 ++ || (DFWORD(&result, 0)&0x60000000)==0x60000000) { ++ #elif QUAD ++ if ((DFWORD(&result, 2)&0xffffff00)!=0 ++ || DFWORD(&result, 1)!=0 ++ || (DFWORD(&result, 0)&0x1c003fff)!=0 ++ || (DFWORD(&result, 0)&0x60000000)==0x60000000) { ++ #endif ++ set->status|=DEC_Invalid_operation; // Invalid or out of range ++ return 0; ++ } ++ // get last twelve digits of the coefficent into hi & ho, base ++ // 10**9 (see GETCOEFFBILL): ++ sourlo=DFWORD(&result, DECWORDS-1); ++ lo=DPD2BIN0[sourlo&0x3ff] ++ +DPD2BINK[(sourlo>>10)&0x3ff] ++ +DPD2BINM[(sourlo>>20)&0x3ff]; ++ sourpen=DFWORD(&result, DECWORDS-2); ++ hi=DPD2BIN0[((sourpen<<2) | (sourlo>>30))&0x3ff]; ++ ++ // according to request, check range carefully ++ if (unsign) { ++ if (hi>4 || (hi==4 && lo>294967295) || (hi+lo!=0 && DFISSIGNED(&result))) { ++ set->status|=DEC_Invalid_operation; // out of range ++ return 0; ++ } ++ return hi*BILLION+lo; ++ } ++ // signed ++ if (hi>2 || (hi==2 && lo>147483647)) { ++ // handle the usual edge case ++ if (lo==147483648 && hi==2 && DFISSIGNED(&result)) return 0x80000000; ++ set->status|=DEC_Invalid_operation; // truly out of range ++ return 0; ++ } ++ i=hi*BILLION+lo; ++ if (DFISSIGNED(&result)) i=-i; ++ return (uInt)i; ++ } // decToInt32 ++ ++/* ------------------------------------------------------------------ */ ++/* decToIntegral -- local routine to effect ToIntegral value */ ++/* */ ++/* result gets the result */ ++/* df is the decFloat to round */ ++/* set is the context */ ++/* rmode is the rounding mode to use */ ++/* exact is 1 if Inexact should be signalled */ ++/* returns result */ ++/* ------------------------------------------------------------------ */ ++static decFloat * decToIntegral(decFloat *result, const decFloat *df, ++ decContext *set, enum rounding rmode, ++ Flag exact) { ++ Int exp; // exponent ++ uInt sourhi; // top word from source decFloat ++ enum rounding saveround; // saver ++ uInt savestatus; // .. ++ decFloat zero; // work ++ ++ /* Start decoding the argument */ ++ sourhi=DFWORD(df, 0); // top word ++ exp=DECCOMBEXP[sourhi>>26]; // get exponent high bits (in place) ++ ++ if (EXPISSPECIAL(exp)) { // is special? ++ // NaNs are handled as usual ++ if (DFISNAN(df)) return decNaNs(result, df, NULL, set); ++ // must be infinite; return canonical infinity with sign of df ++ return decInfinity(result, df); ++ } ++ ++ /* Here when the argument is finite */ ++ // complete extraction of the exponent ++ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias ++ ++ if (exp>=0) return decCanonical(result, df); // already integral ++ ++ saveround=set->round; // save rounding mode .. ++ savestatus=set->status; // .. and status ++ set->round=rmode; // set mode ++ decFloatZero(&zero); // make 0E+0 ++ decFloatQuantize(result, df, &zero, set); // 'integrate'; cannot fail ++ set->round=saveround; // restore rounding mode .. ++ if (!exact) set->status=savestatus; // .. and status, unless exact ++ return result; ++ } // decToIntegral +diff -Naur a/src/decNumber/decCommon.c b/src/decNumber/decCommon.c +--- a/src/decNumber/decCommon.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decCommon.c 2021-09-29 10:19:45.799827632 -0700 +@@ -0,0 +1,1835 @@ ++/* ------------------------------------------------------------------ */ ++/* decCommon.c -- common code for all three fixed-size types */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises code that is shared between all the formats */ ++/* (decSingle, decDouble, and decQuad); it includes set and extract */ ++/* of format components, widening, narrowing, and string conversions. */ ++/* */ ++/* Unlike decNumber, parameterization takes place at compile time */ ++/* rather than at runtime. The parameters are set in the decDouble.c */ ++/* (etc.) files, which then include this one to produce the compiled */ ++/* code. The functions here, therefore, are code shared between */ ++/* multiple formats. */ ++/* ------------------------------------------------------------------ */ ++// Names here refer to decFloat rather than to decDouble, etc., and ++// the functions are in strict alphabetical order. ++// Constants, tables, and debug function(s) are included only for QUAD ++// (which will always be compiled if DOUBLE or SINGLE are used). ++// ++// Whenever a decContext is used, only the status may be set (using ++// OR) or the rounding mode read; all other fields are ignored and ++// untouched. ++ ++// names for simpler testing and default context ++#if DECPMAX==7 ++ #define SINGLE 1 ++ #define DOUBLE 0 ++ #define QUAD 0 ++ #define DEFCONTEXT DEC_INIT_DECIMAL32 ++#elif DECPMAX==16 ++ #define SINGLE 0 ++ #define DOUBLE 1 ++ #define QUAD 0 ++ #define DEFCONTEXT DEC_INIT_DECIMAL64 ++#elif DECPMAX==34 ++ #define SINGLE 0 ++ #define DOUBLE 0 ++ #define QUAD 1 ++ #define DEFCONTEXT DEC_INIT_DECIMAL128 ++#else ++ #error Unexpected DECPMAX value ++#endif ++ ++/* Assertions */ ++ ++#if DECPMAX!=7 && DECPMAX!=16 && DECPMAX!=34 ++ #error Unexpected Pmax (DECPMAX) value for this module ++#endif ++ ++// Assert facts about digit characters, etc. ++#if ('9'&0x0f)!=9 ++ #error This module assumes characters are of the form 0b....nnnn ++ // where .... are don't care 4 bits and nnnn is 0000 through 1001 ++#endif ++#if ('9'&0xf0)==('.'&0xf0) ++ #error This module assumes '.' has a different mask than a digit ++#endif ++ ++// Assert ToString lay-out conditions ++#if DECSTRING DECSTRING ++ #error Exponent form can be too long for ToString to lay out safely ++#endif ++#if DECEMAXD > 4 ++ #error Exponent form is too long for ToString to lay out ++ // Note: code for up to 9 digits exists in archives [decOct] ++#endif ++ ++/* Private functions used here and possibly in decBasic.c, etc. */ ++static decFloat * decFinalize(decFloat *, bcdnum *, decContext *); ++static Flag decBiStr(const char *, const char *, const char *); ++ ++/* Macros and private tables; those which are not format-dependent */ ++/* are only included if decQuad is being built. */ ++ ++/* ------------------------------------------------------------------ */ ++/* Combination field lookup tables (uInts to save measurable work) */ ++/* */ ++/* DECCOMBEXP - 2 most-significant-bits of exponent (00, 01, or */ ++/* 10), shifted left for format, or DECFLOAT_Inf/NaN */ ++/* DECCOMBWEXP - The same, for the next-wider format (unless QUAD) */ ++/* DECCOMBMSD - 4-bit most-significant-digit */ ++/* [0 if the index is a special (Infinity or NaN)] */ ++/* DECCOMBFROM - 5-bit combination field from EXP top bits and MSD */ ++/* (placed in uInt so no shift is needed) */ ++/* */ ++/* DECCOMBEXP, DECCOMBWEXP, and DECCOMBMSD are indexed by the sign */ ++/* and 5-bit combination field (0-63, the second half of the table */ ++/* identical to the first half) */ ++/* DECCOMBFROM is indexed by expTopTwoBits*16 + msd */ ++/* */ ++/* DECCOMBMSD and DECCOMBFROM are not format-dependent and so are */ ++/* only included once, when QUAD is being built */ ++/* ------------------------------------------------------------------ */ ++static const uInt DECCOMBEXP[64]={ ++ 0, 0, 0, 0, 0, 0, 0, 0, ++ 1< DPD ++#define DEC_BIN2DPD 1 // 0-999 -> DPD ++#define DEC_BIN2BCD8 1 // 0-999 -> ddd, len ++#define DEC_DPD2BCD8 1 // DPD -> ddd, len ++#define DEC_DPD2BIN 1 // DPD -> 0-999 ++#define DEC_DPD2BINK 1 // DPD -> 0-999000 ++#define DEC_DPD2BINM 1 // DPD -> 0-999000000 ++#include "decDPD.h" // source of the lookup tables ++ ++#endif ++ ++/* ----------------------------------------------------------------- */ ++/* decBiStr -- compare string with pairwise options */ ++/* */ ++/* targ is the string to compare */ ++/* str1 is one of the strings to compare against (length may be 0) */ ++/* str2 is the other; it must be the same length as str1 */ ++/* */ ++/* returns 1 if strings compare equal, (that is, targ is the same */ ++/* length as str1 and str2, and each character of targ is in one */ ++/* of str1 or str2 in the corresponding position), or 0 otherwise */ ++/* */ ++/* This is used for generic caseless compare, including the awkward */ ++/* case of the Turkish dotted and dotless Is. Use as (for example): */ ++/* if (decBiStr(test, "mike", "MIKE")) ... */ ++/* ----------------------------------------------------------------- */ ++static Flag decBiStr(const char *targ, const char *str1, const char *str2) { ++ for (;;targ++, str1++, str2++) { ++ if (*targ!=*str1 && *targ!=*str2) return 0; ++ // *targ has a match in one (or both, if terminator) ++ if (*targ=='\0') break; ++ } // forever ++ return 1; ++ } // decBiStr ++ ++/* ------------------------------------------------------------------ */ ++/* decFinalize -- adjust and store a final result */ ++/* */ ++/* df is the decFloat format number which gets the final result */ ++/* num is the descriptor of the number to be checked and encoded */ ++/* [its values, including the coefficient, may be modified] */ ++/* set is the context to use */ ++/* returns df */ ++/* */ ++/* The num descriptor may point to a bcd8 string of any length; this */ ++/* string may have leading insignificant zeros. If it has more than */ ++/* DECPMAX digits then the final digit can be a round-for-reround */ ++/* digit (i.e., it may include a sticky bit residue). */ ++/* */ ++/* The exponent (q) may be one of the codes for a special value and */ ++/* can be up to 999999999 for conversion from string. */ ++/* */ ++/* No error is possible, but Inexact, Underflow, and/or Overflow may */ ++/* be set. */ ++/* ------------------------------------------------------------------ */ ++// Constant whose size varies with format; also the check for surprises ++static uByte allnines[DECPMAX]= ++#if SINGLE ++ {9, 9, 9, 9, 9, 9, 9}; ++#elif DOUBLE ++ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9}; ++#elif QUAD ++ {9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, ++ 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9}; ++#endif ++ ++static decFloat * decFinalize(decFloat *df, bcdnum *num, ++ decContext *set) { ++ uByte *ub; // work ++ uInt dpd; // .. ++ uInt uiwork; // for macros ++ uByte *umsd=num->msd; // local copy ++ uByte *ulsd=num->lsd; // .. ++ uInt encode; // encoding accumulator ++ Int length; // coefficient length ++ ++ #if DECCHECK ++ Int clen=ulsd-umsd+1; ++ #if QUAD ++ #define COEXTRA 2 // extra-long coefficent ++ #else ++ #define COEXTRA 0 ++ #endif ++ if (clen<1 || clen>DECPMAX*3+2+COEXTRA) ++ printf("decFinalize: suspect coefficient [length=%ld]\n", (LI)clen); ++ if (num->sign!=0 && num->sign!=DECFLOAT_Sign) ++ printf("decFinalize: bad sign [%08lx]\n", (LI)num->sign); ++ if (!EXPISSPECIAL(num->exponent) ++ && (num->exponent>1999999999 || num->exponent<-1999999999)) ++ printf("decFinalize: improbable exponent [%ld]\n", (LI)num->exponent); ++ // decShowNum(num, "final"); ++ #endif ++ ++ // A special will have an 'exponent' which is very positive and a ++ // coefficient < DECPMAX ++ length=(uInt)(ulsd-umsd+1); // coefficient length ++ ++ if (!NUMISSPECIAL(num)) { ++ Int drop; // digits to be dropped ++ // skip leading insignificant zeros to calculate an exact length ++ // [this is quite expensive] ++ if (*umsd==0) { ++ for (; umsd+3exponent); ++ // drop can now be > digits for bottom-clamp (subnormal) cases ++ if (drop>0) { // rounding needed ++ // (decFloatQuantize has very similar code to this, so any ++ // changes may need to be made there, too) ++ uByte *roundat; // -> re-round digit ++ uByte reround; // reround value ++ // printf("Rounding; drop=%ld\n", (LI)drop); ++ ++ num->exponent+=drop; // always update exponent ++ ++ // Three cases here: ++ // 1. new LSD is in coefficient (almost always) ++ // 2. new LSD is digit to left of coefficient (so MSD is ++ // round-for-reround digit) ++ // 3. new LSD is to left of case 2 (whole coefficient is sticky) ++ // [duplicate check-stickies code to save a test] ++ // [by-digit check for stickies as runs of zeros are rare] ++ if (dropstatus|=DEC_Inexact; ++ // if adjusted exponent [exp+digits-1] is < EMIN then num is ++ // subnormal -- so raise Underflow ++ if (num->exponentexponent+(ulsd-umsd+1)-1)status|=DEC_Underflow; ++ ++ // next decide whether increment of the coefficient is needed ++ if (set->round==DEC_ROUND_HALF_EVEN) { // fastpath slowest case ++ if (reround>5) bump=1; // >0.5 goes up ++ else if (reround==5) // exactly 0.5000 .. ++ bump=*ulsd & 0x01; // .. up iff [new] lsd is odd ++ } // r-h-e ++ else switch (set->round) { ++ case DEC_ROUND_DOWN: { ++ // no change ++ break;} // r-d ++ case DEC_ROUND_HALF_DOWN: { ++ if (reround>5) bump=1; ++ break;} // r-h-d ++ case DEC_ROUND_HALF_UP: { ++ if (reround>=5) bump=1; ++ break;} // r-h-u ++ case DEC_ROUND_UP: { ++ if (reround>0) bump=1; ++ break;} // r-u ++ case DEC_ROUND_CEILING: { ++ // same as _UP for positive numbers, and as _DOWN for negatives ++ if (!num->sign && reround>0) bump=1; ++ break;} // r-c ++ case DEC_ROUND_FLOOR: { ++ // same as _UP for negative numbers, and as _DOWN for positive ++ // [negative reround cannot occur on 0] ++ if (num->sign && reround>0) bump=1; ++ break;} // r-f ++ case DEC_ROUND_05UP: { ++ if (reround>0) { // anything out there is 'sticky' ++ // bump iff lsd=0 or 5; this cannot carry so it could be ++ // effected immediately with no bump -- but the code ++ // is clearer if this is done the same way as the others ++ if (*ulsd==0 || *ulsd==5) bump=1; ++ } ++ break;} // r-r ++ default: { // e.g., DEC_ROUND_MAX ++ set->status|=DEC_Invalid_context; ++ #if DECCHECK ++ printf("Unknown rounding mode: %ld\n", (LI)set->round); ++ #endif ++ break;} ++ } // switch (not r-h-e) ++ // printf("ReRound: %ld bump: %ld\n", (LI)reround, (LI)bump); ++ ++ if (bump!=0) { // need increment ++ // increment the coefficient; this might end up with 1000... ++ // (after the all nines case) ++ ub=ulsd; ++ for(; ub-3>=umsd && UBTOUI(ub-3)==0x09090909; ub-=4) { ++ UBFROMUI(ub-3, 0); // to 00000000 ++ } ++ // [note ub could now be to left of msd, and it is not safe ++ // to write to the the left of the msd] ++ // now at most 3 digits left to non-9 (usually just the one) ++ for (; ub>=umsd; *ub=0, ub--) { ++ if (*ub==9) continue; // carry ++ *ub+=1; ++ break; ++ } ++ if (ubexponent++; ++ } ++ else { ++ // if coefficient is shorter than Pmax then num is ++ // subnormal, so extend it; this is safe as drop>0 ++ // (or, if the coefficient was supplied above, it could ++ // not be 9); this may make the result normal. ++ ulsd++; ++ *ulsd=0; ++ // [exponent unchanged] ++ #if DECCHECK ++ if (num->exponent!=DECQTINY) // sanity check ++ printf("decFinalize: bad all-nines extend [^%ld, %ld]\n", ++ (LI)num->exponent, (LI)(ulsd-umsd+1)); ++ #endif ++ } // subnormal extend ++ } // had all-nines ++ } // bump needed ++ } // inexact rounding ++ ++ length=ulsd-umsd+1; // recalculate (may be 0) ++ ++ // The coefficient will now fit and has final length unless overflow ++ // decShowNum(num, "rounded"); ++ ++ // if exponent is >=emax may have to clamp, overflow, or fold-down ++ if (num->exponent>DECEMAX-(DECPMAX-1)) { // is edge case ++ // printf("overflow checks...\n"); ++ if (*ulsd==0 && ulsd==umsd) { // have zero ++ num->exponent=DECEMAX-(DECPMAX-1); // clamp to max ++ } ++ else if ((num->exponent+length-1)>DECEMAX) { // > Nmax ++ // Overflow -- these could go straight to encoding, here, but ++ // instead num is adjusted to keep the code cleaner ++ Flag needmax=0; // 1 for finite result ++ set->status|=(DEC_Overflow | DEC_Inexact); ++ switch (set->round) { ++ case DEC_ROUND_DOWN: { ++ needmax=1; // never Infinity ++ break;} // r-d ++ case DEC_ROUND_05UP: { ++ needmax=1; // never Infinity ++ break;} // r-05 ++ case DEC_ROUND_CEILING: { ++ if (num->sign) needmax=1; // Infinity iff non-negative ++ break;} // r-c ++ case DEC_ROUND_FLOOR: { ++ if (!num->sign) needmax=1; // Infinity iff negative ++ break;} // r-f ++ default: break; // Infinity in all other cases ++ } ++ if (!needmax) { // easy .. set Infinity ++ num->exponent=DECFLOAT_Inf; ++ *umsd=0; // be clean: coefficient to 0 ++ ulsd=umsd; // .. ++ } ++ else { // return Nmax ++ umsd=allnines; // use constant array ++ ulsd=allnines+DECPMAX-1; ++ num->exponent=DECEMAX-(DECPMAX-1); ++ } ++ } ++ else { // no overflow but non-zero and may have to fold-down ++ Int shift=num->exponent-(DECEMAX-(DECPMAX-1)); ++ if (shift>0) { // fold-down needed ++ // fold down needed; must copy to buffer in order to pad ++ // with zeros safely; fortunately this is not the worst case ++ // path because cannot have had a round ++ uByte buffer[ROUNDUP(DECPMAX+3, 4)]; // [+3 allows uInt padding] ++ uByte *s=umsd; // source ++ uByte *t=buffer; // safe target ++ uByte *tlsd=buffer+(ulsd-umsd)+shift; // target LSD ++ // printf("folddown shift=%ld\n", (LI)shift); ++ for (; s<=ulsd; s+=4, t+=4) UBFROMUI(t, UBTOUI(s)); ++ for (t=tlsd-shift+1; t<=tlsd; t+=4) UBFROMUI(t, 0); // pad 0s ++ num->exponent-=shift; ++ umsd=buffer; ++ ulsd=tlsd; ++ } ++ } // fold-down? ++ length=ulsd-umsd+1; // recalculate length ++ } // high-end edge case ++ } // finite number ++ ++ /*------------------------------------------------------------------*/ ++ /* At this point the result will properly fit the decFloat */ ++ /* encoding, and it can be encoded with no possibility of error */ ++ /*------------------------------------------------------------------*/ ++ // Following code does not alter coefficient (could be allnines array) ++ ++ // fast path possible when DECPMAX digits ++ if (length==DECPMAX) { ++ return decFloatFromBCD(df, num->exponent, umsd, num->sign); ++ } // full-length ++ ++ // slower path when not a full-length number; must care about length ++ // [coefficient length here will be < DECPMAX] ++ if (!NUMISSPECIAL(num)) { // is still finite ++ // encode the combination field and exponent continuation ++ uInt uexp=(uInt)(num->exponent+DECBIAS); // biased exponent ++ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp ++ // [msd==0] ++ // look up the combination field and make high word ++ encode=DECCOMBFROM[code]; // indexed by (0-2)*16+msd ++ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation ++ } ++ else encode=num->exponent; // special [already in word] ++ encode|=num->sign; // add sign ++ ++ // private macro to extract a declet, n (where 0<=n=umsd) dpd=BCD2DPD[(*ub*256)+(*(ub+1)*16)+*(ub+2)]; \ ++ else {dpd=*(ub+2); if (ub+1==umsd) dpd+=*(ub+1)*16; dpd=BCD2DPD[dpd];} ++ ++ // place the declets in the encoding words and copy to result (df), ++ // according to endianness; in all cases complete the sign word ++ // first ++ #if DECPMAX==7 ++ getDPDt(dpd, 1); ++ encode|=dpd<<10; ++ getDPDt(dpd, 0); ++ encode|=dpd; ++ DFWORD(df, 0)=encode; // just the one word ++ ++ #elif DECPMAX==16 ++ getDPDt(dpd, 4); encode|=dpd<<8; ++ getDPDt(dpd, 3); encode|=dpd>>2; ++ DFWORD(df, 0)=encode; ++ encode=dpd<<30; ++ getDPDt(dpd, 2); encode|=dpd<<20; ++ getDPDt(dpd, 1); encode|=dpd<<10; ++ getDPDt(dpd, 0); encode|=dpd; ++ DFWORD(df, 1)=encode; ++ ++ #elif DECPMAX==34 ++ getDPDt(dpd,10); encode|=dpd<<4; ++ getDPDt(dpd, 9); encode|=dpd>>6; ++ DFWORD(df, 0)=encode; ++ ++ encode=dpd<<26; ++ getDPDt(dpd, 8); encode|=dpd<<16; ++ getDPDt(dpd, 7); encode|=dpd<<6; ++ getDPDt(dpd, 6); encode|=dpd>>4; ++ DFWORD(df, 1)=encode; ++ ++ encode=dpd<<28; ++ getDPDt(dpd, 5); encode|=dpd<<18; ++ getDPDt(dpd, 4); encode|=dpd<<8; ++ getDPDt(dpd, 3); encode|=dpd>>2; ++ DFWORD(df, 2)=encode; ++ ++ encode=dpd<<30; ++ getDPDt(dpd, 2); encode|=dpd<<20; ++ getDPDt(dpd, 1); encode|=dpd<<10; ++ getDPDt(dpd, 0); encode|=dpd; ++ DFWORD(df, 3)=encode; ++ #endif ++ ++ // printf("Status: %08lx\n", (LI)set->status); ++ // decFloatShow(df, "final2"); ++ return df; ++ } // decFinalize ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromBCD -- set decFloat from exponent, BCD8, and sign */ ++/* */ ++/* df is the target decFloat */ ++/* exp is the in-range unbiased exponent, q, or a special value in */ ++/* the form returned by decFloatGetExponent */ ++/* bcdar holds DECPMAX digits to set the coefficient from, one */ ++/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */ ++/* if df is a NaN; all are ignored if df is infinite. */ ++/* All bytes must be in 0-9; results are undefined otherwise. */ ++/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */ ++/* returns df, which will be canonical */ ++/* */ ++/* No error is possible, and no status will be set. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFromBCD(decFloat *df, Int exp, const uByte *bcdar, ++ Int sig) { ++ uInt encode, dpd; // work ++ const uByte *ub; // .. ++ ++ if (EXPISSPECIAL(exp)) encode=exp|sig;// specials already encoded ++ else { // is finite ++ // encode the combination field and exponent continuation ++ uInt uexp=(uInt)(exp+DECBIAS); // biased exponent ++ uInt code=(uexp>>DECECONL)<<4; // top two bits of exp ++ code+=bcdar[0]; // add msd ++ // look up the combination field and make high word ++ encode=DECCOMBFROM[code]|sig; // indexed by (0-2)*16+msd ++ encode|=(uexp<<(32-6-DECECONL)) & 0x03ffffff; // exponent continuation ++ } ++ ++ // private macro to extract a declet, n (where 0<=n>2; ++ DFWORD(df, 0)=encode; ++ encode=dpd<<30; ++ getDPDb(dpd, 2); encode|=dpd<<20; ++ getDPDb(dpd, 1); encode|=dpd<<10; ++ getDPDb(dpd, 0); encode|=dpd; ++ DFWORD(df, 1)=encode; ++ ++ #elif DECPMAX==34 ++ getDPDb(dpd,10); encode|=dpd<<4; ++ getDPDb(dpd, 9); encode|=dpd>>6; ++ DFWORD(df, 0)=encode; ++ ++ encode=dpd<<26; ++ getDPDb(dpd, 8); encode|=dpd<<16; ++ getDPDb(dpd, 7); encode|=dpd<<6; ++ getDPDb(dpd, 6); encode|=dpd>>4; ++ DFWORD(df, 1)=encode; ++ ++ encode=dpd<<28; ++ getDPDb(dpd, 5); encode|=dpd<<18; ++ getDPDb(dpd, 4); encode|=dpd<<8; ++ getDPDb(dpd, 3); encode|=dpd>>2; ++ DFWORD(df, 2)=encode; ++ ++ encode=dpd<<30; ++ getDPDb(dpd, 2); encode|=dpd<<20; ++ getDPDb(dpd, 1); encode|=dpd<<10; ++ getDPDb(dpd, 0); encode|=dpd; ++ DFWORD(df, 3)=encode; ++ #endif ++ // decFloatShow(df, "fromB"); ++ return df; ++ } // decFloatFromBCD ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromPacked -- set decFloat from exponent and packed BCD */ ++/* */ ++/* df is the target decFloat */ ++/* exp is the in-range unbiased exponent, q, or a special value in */ ++/* the form returned by decFloatGetExponent */ ++/* packed holds DECPMAX packed decimal digits plus a sign nibble */ ++/* (all 6 codes are OK); the first (MSD) is ignored if df is a NaN */ ++/* and all except sign are ignored if df is infinite. For DOUBLE */ ++/* and QUAD the first (pad) nibble is also ignored in all cases. */ ++/* All coefficient nibbles must be in 0-9 and sign in A-F; results */ ++/* are undefined otherwise. */ ++/* returns df, which will be canonical */ ++/* */ ++/* No error is possible, and no status will be set. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFromPacked(decFloat *df, Int exp, const uByte *packed) { ++ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign] ++ const uByte *ip; // .. ++ uByte *op; // .. ++ Int sig=0; // sign ++ ++ // expand coefficient and sign to BCDAR ++ #if SINGLE ++ op=bcdar+1; // no pad digit ++ #else ++ op=bcdar; // first (pad) digit ignored ++ #endif ++ for (ip=packed; ip>4; ++ *op++=(uByte)(*ip&0x0f); // [final nibble is sign] ++ } ++ op--; // -> sign byte ++ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign; ++ ++ if (EXPISSPECIAL(exp)) { // Infinity or NaN ++ if (!EXPISINF(exp)) bcdar[1]=0; // a NaN: ignore MSD ++ else memset(bcdar+1, 0, DECPMAX); // Infinite: coefficient to 0 ++ } ++ return decFloatFromBCD(df, exp, bcdar+1, sig); ++ } // decFloatFromPacked ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromPackedChecked -- set from exponent and packed; checked */ ++/* */ ++/* df is the target decFloat */ ++/* exp is the in-range unbiased exponent, q, or a special value in */ ++/* the form returned by decFloatGetExponent */ ++/* packed holds DECPMAX packed decimal digits plus a sign nibble */ ++/* (all 6 codes are OK); the first (MSD) must be 0 if df is a NaN */ ++/* and all digits must be 0 if df is infinite. For DOUBLE and */ ++/* QUAD the first (pad) nibble must be 0. */ ++/* All coefficient nibbles must be in 0-9 and sign in A-F. */ ++/* returns df, which will be canonical or NULL if any of the */ ++/* requirements are not met (if this case df is unchanged); that */ ++/* is, the input data must be as returned by decFloatToPacked, */ ++/* except that all six sign codes are acccepted. */ ++/* */ ++/* No status will be set. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatFromPackedChecked(decFloat *df, Int exp, ++ const uByte *packed) { ++ uByte bcdar[DECPMAX+2]; // work [+1 for pad, +1 for sign] ++ const uByte *ip; // .. ++ uByte *op; // .. ++ Int sig=0; // sign ++ ++ // expand coefficient and sign to BCDAR ++ #if SINGLE ++ op=bcdar+1; // no pad digit ++ #else ++ op=bcdar; // first (pad) digit here ++ #endif ++ for (ip=packed; ip>4; ++ if (*op>9) return NULL; ++ op++; ++ *op=(uByte)(*ip&0x0f); // [final nibble is sign] ++ if (*op>9 && ip sign byte ++ if (*op<=9) return NULL; // bad sign ++ if (*op==DECPMINUS || *op==DECPMINUSALT) sig=DECFLOAT_Sign; ++ ++ #if !SINGLE ++ if (bcdar[0]!=0) return NULL; // bad pad nibble ++ #endif ++ ++ if (EXPISNAN(exp)) { // a NaN ++ if (bcdar[1]!=0) return NULL; // bad msd ++ } // NaN ++ else if (EXPISINF(exp)) { // is infinite ++ Int i; ++ for (i=0; iDECEMAX-DECPMAX+1) return NULL; ++ if (exp first character of decimal part ++ const char *c; // work ++ uByte *ub; // .. ++ uInt uiwork; // for macros ++ bcdnum num; // collects data for finishing ++ uInt error=DEC_Conversion_syntax; // assume the worst ++ uByte buffer[ROUNDUP(DECSTRING+11, 8)]; // room for most coefficents, ++ // some common rounding, +3, & pad ++ #if DECTRACE ++ // printf("FromString %s ...\n", string); ++ #endif ++ ++ for(;;) { // once-only 'loop' ++ num.sign=0; // assume non-negative ++ num.msd=buffer; // MSD is here always ++ ++ // detect and validate the coefficient, including any leading, ++ // trailing, or embedded '.' ++ // [could test four-at-a-time here (saving 10% for decQuads), ++ // but that risks storage violation because the position of the ++ // terminator is unknown] ++ for (c=string;; c++) { // -> input character ++ if (((unsigned)(*c-'0'))<=9) continue; // '0' through '9' is good ++ if (*c=='\0') break; // most common non-digit ++ if (*c=='.') { ++ if (dotchar!=NULL) break; // not first '.' ++ dotchar=c; // record offset into decimal part ++ continue;} ++ if (c==string) { // first in string... ++ if (*c=='-') { // valid - sign ++ cfirst++; ++ num.sign=DECFLOAT_Sign; ++ continue;} ++ if (*c=='+') { // valid + sign ++ cfirst++; ++ continue;} ++ } ++ // *c is not a digit, terminator, or a valid +, -, or '.' ++ break; ++ } // c loop ++ ++ digits=(uInt)(c-cfirst); // digits (+1 if a dot) ++ ++ if (digits>0) { // had digits and/or dot ++ const char *clast=c-1; // note last coefficient char position ++ Int exp=0; // exponent accumulator ++ if (*c!='\0') { // something follows the coefficient ++ uInt edig; // unsigned work ++ // had some digits and more to come; expect E[+|-]nnn now ++ const char *firstexp; // exponent first non-zero ++ if (*c!='E' && *c!='e') break; ++ c++; // to (optional) sign ++ if (*c=='-' || *c=='+') c++; // step over sign (c=clast+2) ++ if (*c=='\0') break; // no digits! (e.g., '1.2E') ++ for (; *c=='0';) c++; // skip leading zeros [even last] ++ firstexp=c; // remember start [maybe '\0'] ++ // gather exponent digits ++ edig=(uInt)*c-(uInt)'0'; ++ if (edig<=9) { // [check not bad or terminator] ++ exp+=edig; // avoid initial X10 ++ c++; ++ for (;; c++) { ++ edig=(uInt)*c-(uInt)'0'; ++ if (edig>9) break; ++ exp=exp*10+edig; ++ } ++ } ++ // if not now on the '\0', *c must not be a digit ++ if (*c!='\0') break; ++ ++ // (this next test must be after the syntax checks) ++ // if definitely more than the possible digits for format then ++ // the exponent may have wrapped, so simply set it to a certain ++ // over/underflow value ++ if (c>firstexp+DECEMAXD) exp=DECEMAX*2; ++ if (*(clast+2)=='-') exp=-exp; // was negative ++ } // exponent part ++ ++ if (dotchar!=NULL) { // had a '.' ++ digits--; // remove from digits count ++ if (digits==0) break; // was dot alone: bad syntax ++ exp-=(Int)(clast-dotchar); // adjust exponent ++ // [the '.' can now be ignored] ++ } ++ num.exponent=exp; // exponent is good; store it ++ ++ // Here when whole string has been inspected and syntax is good ++ // cfirst->first digit or dot, clast->last digit or dot ++ error=0; // no error possible now ++ ++ // if the number of digits in the coefficient will fit in buffer ++ // then it can simply be converted to bcd8 and copied -- decFinalize ++ // will take care of leading zeros and rounding; the buffer is big ++ // enough for all canonical coefficients, including 0.00000nn... ++ ub=buffer; ++ if (digits<=(Int)(sizeof(buffer)-3)) { // [-3 allows by-4s copy] ++ c=cfirst; ++ if (dotchar!=NULL) { // a dot to worry about ++ if (*(c+1)=='.') { // common canonical case ++ *ub++=(uByte)(*c-'0'); // copy leading digit ++ c+=2; // prepare to handle rest ++ } ++ else for (; c<=clast;) { // '.' could be anywhere ++ // as usual, go by fours when safe; NB it has been asserted ++ // that a '.' does not have the same mask as a digit ++ if (c<=clast-3 // safe for four ++ && (UBTOUI(c)&0xf0f0f0f0)==CHARMASK) { // test four ++ UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f); // to BCD8 ++ ub+=4; ++ c+=4; ++ continue; ++ } ++ if (*c=='.') { // found the dot ++ c++; // step over it .. ++ break; // .. and handle the rest ++ } ++ *ub++=(uByte)(*c++-'0'); ++ } ++ } // had dot ++ // Now no dot; do this by fours (where safe) ++ for (; c<=clast-3; c+=4, ub+=4) UBFROMUI(ub, UBTOUI(c)&0x0f0f0f0f); ++ for (; c<=clast; c++, ub++) *ub=(uByte)(*c-'0'); ++ num.lsd=buffer+digits-1; // record new LSD ++ } // fits ++ ++ else { // too long for buffer ++ // [This is a rare and unusual case; arbitrary-length input] ++ // strip leading zeros [but leave final 0 if all 0's] ++ if (*cfirst=='.') cfirst++; // step past dot at start ++ if (*cfirst=='0') { // [cfirst always -> digit] ++ for (; cfirst LSD ++ for (; c<=clast; c++) { // inspect remaining chars ++ if (*c!='0') { // sticky bit needed ++ if (*c=='.') continue; // [ignore] ++ *ub=DECSTICKYTAB[*ub]; // update round-for-reround ++ break; // no need to look at more ++ } ++ } ++ num.lsd=ub; // record LSD ++ // adjust exponent for dropped digits ++ num.exponent+=digits-(Int)(ub-buffer+1); ++ } // too long for buffer ++ } // digits and/or dot ++ ++ else { // no digits or dot were found ++ // only Infinities and NaNs are allowed, here ++ if (*c=='\0') break; // nothing there is bad ++ buffer[0]=0; // default a coefficient of 0 ++ num.lsd=buffer; // .. ++ if (decBiStr(c, "infinity", "INFINITY") ++ || decBiStr(c, "inf", "INF")) num.exponent=DECFLOAT_Inf; ++ else { // should be a NaN ++ num.exponent=DECFLOAT_qNaN; // assume quiet NaN ++ if (*c=='s' || *c=='S') { // probably an sNaN ++ num.exponent=DECFLOAT_sNaN; // effect the 's' ++ c++; // and step over it ++ } ++ if (*c!='N' && *c!='n') break; // check caseless "NaN" ++ c++; ++ if (*c!='a' && *c!='A') break; // .. ++ c++; ++ if (*c!='N' && *c!='n') break; // .. ++ c++; ++ // now either nothing, or nnnn payload (no dots), expected ++ // -> start of integer, and skip leading 0s [including plain 0] ++ for (cfirst=c; *cfirst=='0';) cfirst++; ++ if (*cfirst!='\0') { // not empty or all-0, payload ++ // payload found; check all valid digits and copy to buffer as bcd8 ++ ub=buffer; ++ for (c=cfirst;; c++, ub++) { ++ if ((unsigned)(*c-'0')>9) break; // quit if not 0-9 ++ if (c-cfirst==DECPMAX-1) break; // too many digits ++ *ub=(uByte)(*c-'0'); // good bcd8 ++ } ++ if (*c!='\0') break; // not all digits, or too many ++ num.lsd=ub-1; // record new LSD ++ } ++ } // NaN or sNaN ++ error=0; // syntax is OK ++ } // digits=0 (special expected) ++ break; // drop out ++ } // [for(;;) once-loop] ++ ++ // decShowNum(&num, "fromStr"); ++ ++ if (error!=0) { ++ set->status|=error; ++ num.exponent=DECFLOAT_qNaN; // set up quiet NaN ++ num.sign=0; // .. with 0 sign ++ buffer[0]=0; // .. and coefficient ++ num.lsd=buffer; // .. ++ // decShowNum(&num, "oops"); ++ } ++ ++ // decShowNum(&num, "dffs"); ++ decFinalize(result, &num, set); // round, check, and lay out ++ // decFloatShow(result, "fromString"); ++ return result; ++ } // decFloatFromString ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatFromWider -- conversion from next-wider format */ ++/* */ ++/* result is the decFloat format number which gets the result of */ ++/* the conversion */ ++/* wider is the decFloatWider format number which will be narrowed */ ++/* set is the context */ ++/* returns result */ ++/* */ ++/* Narrowing can cause rounding, overflow, etc., but not Invalid */ ++/* operation (sNaNs are copied and do not signal). */ ++/* ------------------------------------------------------------------ */ ++// narrow-to is not possible for decQuad format numbers; simply omit ++#if !QUAD ++decFloat * decFloatFromWider(decFloat *result, const decFloatWider *wider, ++ decContext *set) { ++ bcdnum num; // collects data for finishing ++ uByte bcdar[DECWPMAX]; // room for wider coefficient ++ uInt widerhi=DFWWORD(wider, 0); // top word ++ Int exp; ++ ++ GETWCOEFF(wider, bcdar); ++ ++ num.msd=bcdar; // MSD is here always ++ num.lsd=bcdar+DECWPMAX-1; // LSD is here always ++ num.sign=widerhi&0x80000000; // extract sign [DECFLOAT_Sign=Neg] ++ ++ // decode the wider combination field to exponent ++ exp=DECCOMBWEXP[widerhi>>26]; // decode from wider combination field ++ // if it is a special there's nothing to do unless sNaN; if it's ++ // finite then add the (wider) exponent continuation and unbias ++ if (EXPISSPECIAL(exp)) exp=widerhi&0x7e000000; // include sNaN selector ++ else exp+=GETWECON(wider)-DECWBIAS; ++ num.exponent=exp; ++ ++ // decShowNum(&num, "dffw"); ++ return decFinalize(result, &num, set);// round, check, and lay out ++ } // decFloatFromWider ++#endif ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatGetCoefficient -- get coefficient as BCD8 */ ++/* */ ++/* df is the decFloat from which to extract the coefficient */ ++/* bcdar is where DECPMAX bytes will be written, one BCD digit in */ ++/* each byte (BCD8 encoding); if df is a NaN the first byte will */ ++/* be zero, and if it is infinite they will all be zero */ ++/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */ ++/* 0 otherwise) */ ++/* */ ++/* No error is possible, and no status will be set. If df is a */ ++/* special value the array is set to zeros (for Infinity) or to the */ ++/* payload of a qNaN or sNaN. */ ++/* ------------------------------------------------------------------ */ ++Int decFloatGetCoefficient(const decFloat *df, uByte *bcdar) { ++ if (DFISINF(df)) memset(bcdar, 0, DECPMAX); ++ else { ++ GETCOEFF(df, bcdar); // use macro ++ if (DFISNAN(df)) bcdar[0]=0; // MSD needs correcting ++ } ++ return GETSIGN(df); ++ } // decFloatGetCoefficient ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatGetExponent -- get unbiased exponent */ ++/* */ ++/* df is the decFloat from which to extract the exponent */ ++/* returns the exponent, q. */ ++/* */ ++/* No error is possible, and no status will be set. If df is a */ ++/* special value the first seven bits of the decFloat are returned, */ ++/* left adjusted and with the first (sign) bit set to 0 (followed by */ ++/* 25 0 bits). e.g., -sNaN would return 0x7e000000 (DECFLOAT_sNaN). */ ++/* ------------------------------------------------------------------ */ ++Int decFloatGetExponent(const decFloat *df) { ++ if (DFISSPECIAL(df)) return DFWORD(df, 0)&0x7e000000; ++ return GETEXPUN(df); ++ } // decFloatGetExponent ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatSetCoefficient -- set coefficient from BCD8 */ ++/* */ ++/* df is the target decFloat (and source of exponent/special value) */ ++/* bcdar holds DECPMAX digits to set the coefficient from, one */ ++/* digit in each byte (BCD8 encoding); the first (MSD) is ignored */ ++/* if df is a NaN; all are ignored if df is infinite. */ ++/* sig is DECFLOAT_Sign to set the sign bit, 0 otherwise */ ++/* returns df, which will be canonical */ ++/* */ ++/* No error is possible, and no status will be set. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatSetCoefficient(decFloat *df, const uByte *bcdar, ++ Int sig) { ++ uInt exp; // for exponent ++ uByte bcdzero[DECPMAX]; // for infinities ++ ++ // Exponent/special code is extracted from df ++ if (DFISSPECIAL(df)) { ++ exp=DFWORD(df, 0)&0x7e000000; ++ if (DFISINF(df)) { ++ memset(bcdzero, 0, DECPMAX); ++ return decFloatFromBCD(df, exp, bcdzero, sig); ++ } ++ } ++ else exp=GETEXPUN(df); ++ return decFloatFromBCD(df, exp, bcdar, sig); ++ } // decFloatSetCoefficient ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatSetExponent -- set exponent or special value */ ++/* */ ++/* df is the target decFloat (and source of coefficient/payload) */ ++/* set is the context for reporting status */ ++/* exp is the unbiased exponent, q, or a special value in the form */ ++/* returned by decFloatGetExponent */ ++/* returns df, which will be canonical */ ++/* */ ++/* No error is possible, but Overflow or Underflow might occur. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatSetExponent(decFloat *df, decContext *set, Int exp) { ++ uByte bcdcopy[DECPMAX]; // for coefficient ++ bcdnum num; // work ++ num.exponent=exp; ++ num.sign=decFloatGetCoefficient(df, bcdcopy); // extract coefficient ++ if (DFISSPECIAL(df)) { // MSD or more needs correcting ++ if (DFISINF(df)) memset(bcdcopy, 0, DECPMAX); ++ bcdcopy[0]=0; ++ } ++ num.msd=bcdcopy; ++ num.lsd=bcdcopy+DECPMAX-1; ++ return decFinalize(df, &num, set); ++ } // decFloatSetExponent ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatRadix -- returns the base (10) */ ++/* */ ++/* df is any decFloat of this format */ ++/* ------------------------------------------------------------------ */ ++uInt decFloatRadix(const decFloat *df) { ++ if (df) return 10; // to placate compiler ++ return 10; ++ } // decFloatRadix ++ ++/* The following function is not available if DECPRINT=0 */ ++#if DECPRINT ++/* ------------------------------------------------------------------ */ ++/* decFloatShow -- printf a decFloat in hexadecimal and decimal */ ++/* df is the decFloat to show */ ++/* tag is a tag string displayed with the number */ ++/* */ ++/* This is a debug aid; the precise format of the string may change. */ ++/* ------------------------------------------------------------------ */ ++void decFloatShow(const decFloat *df, const char *tag) { ++ char hexbuf[DECBYTES*2+DECBYTES/4+1]; // NB blank after every fourth ++ char buff[DECSTRING]; // for value in decimal ++ Int i, j=0; ++ ++ for (i=0; ibytes[DECBYTES-1-i]); ++ #else ++ sprintf(&hexbuf[j], "%02x", df->bytes[i]); ++ #endif ++ j+=2; ++ // the next line adds blank (and terminator) after final pair, too ++ if ((i+1)%4==0) {strcpy(&hexbuf[j], " "); j++;} ++ } ++ decFloatToString(df, buff); ++ printf(">%s> %s [big-endian] %s\n", tag, hexbuf, buff); ++ return; ++ } // decFloatShow ++#endif ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToBCD -- get sign, exponent, and BCD8 from a decFloat */ ++/* */ ++/* df is the source decFloat */ ++/* exp will be set to the unbiased exponent, q, or to a special */ ++/* value in the form returned by decFloatGetExponent */ ++/* bcdar is where DECPMAX bytes will be written, one BCD digit in */ ++/* each byte (BCD8 encoding); if df is a NaN the first byte will */ ++/* be zero, and if it is infinite they will all be zero */ ++/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */ ++/* 0 otherwise) */ ++/* */ ++/* No error is possible, and no status will be set. */ ++/* ------------------------------------------------------------------ */ ++Int decFloatToBCD(const decFloat *df, Int *exp, uByte *bcdar) { ++ if (DFISINF(df)) { ++ memset(bcdar, 0, DECPMAX); ++ *exp=DFWORD(df, 0)&0x7e000000; ++ } ++ else { ++ GETCOEFF(df, bcdar); // use macro ++ if (DFISNAN(df)) { ++ bcdar[0]=0; // MSD needs correcting ++ *exp=DFWORD(df, 0)&0x7e000000; ++ } ++ else { // finite ++ *exp=GETEXPUN(df); ++ } ++ } ++ return GETSIGN(df); ++ } // decFloatToBCD ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToEngString -- conversion to numeric string, engineering */ ++/* */ ++/* df is the decFloat format number to convert */ ++/* string is the string where the result will be laid out */ ++/* */ ++/* string must be at least DECPMAX+9 characters (the worst case is */ ++/* "-0.00000nnn...nnn\0", which is as long as the exponent form when */ ++/* DECEMAXD<=4); this condition is asserted above */ ++/* */ ++/* No error is possible, and no status will be set */ ++/* ------------------------------------------------------------------ */ ++char * decFloatToEngString(const decFloat *df, char *string){ ++ uInt msd; // coefficient MSD ++ Int exp; // exponent top two bits or full ++ uInt comb; // combination field ++ char *cstart; // coefficient start ++ char *c; // output pointer in string ++ char *s, *t; // .. (source, target) ++ Int pre, e; // work ++ const uByte *u; // .. ++ uInt uiwork; // for macros [one compiler needs ++ // volatile here to avoid bug, but ++ // that doubles execution time] ++ ++ // Source words; macro handles endianness ++ uInt sourhi=DFWORD(df, 0); // word with sign ++ #if DECPMAX==16 ++ uInt sourlo=DFWORD(df, 1); ++ #elif DECPMAX==34 ++ uInt sourmh=DFWORD(df, 1); ++ uInt sourml=DFWORD(df, 2); ++ uInt sourlo=DFWORD(df, 3); ++ #endif ++ ++ c=string; // where result will go ++ if (((Int)sourhi)<0) *c++='-'; // handle sign ++ comb=sourhi>>26; // sign+combination field ++ msd=DECCOMBMSD[comb]; // decode the combination field ++ exp=DECCOMBEXP[comb]; // .. ++ ++ if (EXPISSPECIAL(exp)) { // special ++ if (exp==DECFLOAT_Inf) { // infinity ++ strcpy(c, "Inf"); ++ strcpy(c+3, "inity"); ++ return string; // easy ++ } ++ if (sourhi&0x02000000) *c++='s'; // sNaN ++ strcpy(c, "NaN"); // complete word ++ c+=3; // step past ++ // quick exit if the payload is zero ++ #if DECPMAX==7 ++ if ((sourhi&0x000fffff)==0) return string; ++ #elif DECPMAX==16 ++ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; ++ #elif DECPMAX==34 ++ if (sourlo==0 && sourml==0 && sourmh==0 ++ && (sourhi&0x00003fff)==0) return string; ++ #endif ++ // otherwise drop through to add integer; set correct exp etc. ++ exp=0; msd=0; // setup for following code ++ } ++ else { // complete exponent; top two bits are in place ++ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias ++ } ++ ++ /* convert the digits of the significand to characters */ ++ cstart=c; // save start of coefficient ++ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit ++ ++ // Decode the declets. After extracting each declet, it is ++ // decoded to a 4-uByte sequence by table lookup; the four uBytes ++ // are the three encoded BCD8 digits followed by a 1-byte length ++ // (significant digits, except that 000 has length 0). This allows ++ // us to left-align the first declet with non-zero content, then ++ // the remaining ones are full 3-char length. Fixed-length copies ++ // are used because variable-length memcpy causes a subroutine call ++ // in at least two compilers. (The copies are length 4 for speed ++ // and are safe because the last item in the array is of length ++ // three and has the length byte following.) ++ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \ ++ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \ ++ else if (*(u+3)) { \ ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);} ++ ++ #if DECPMAX==7 ++ dpd2char(sourhi>>10); // declet 1 ++ dpd2char(sourhi); // declet 2 ++ ++ #elif DECPMAX==16 ++ dpd2char(sourhi>>8); // declet 1 ++ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2 ++ dpd2char(sourlo>>20); // declet 3 ++ dpd2char(sourlo>>10); // declet 4 ++ dpd2char(sourlo); // declet 5 ++ ++ #elif DECPMAX==34 ++ dpd2char(sourhi>>4); // declet 1 ++ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2 ++ dpd2char(sourmh>>16); // declet 3 ++ dpd2char(sourmh>>6); // declet 4 ++ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5 ++ dpd2char(sourml>>18); // declet 6 ++ dpd2char(sourml>>8); // declet 7 ++ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8 ++ dpd2char(sourlo>>20); // declet 9 ++ dpd2char(sourlo>>10); // declet 10 ++ dpd2char(sourlo); // declet 11 ++ #endif ++ ++ if (c==cstart) *c++='0'; // all zeros, empty -- make "0" ++ ++ if (exp==0) { // integer or NaN case -- easy ++ *c='\0'; // terminate ++ return string; ++ } ++ /* non-0 exponent */ ++ ++ e=0; // assume no E ++ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1] ++ // [here, pre-exp is the digits count (==1 for zero)] ++ ++ if (exp>0 || pre<-5) { // need exponential form ++ e=pre-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ if (e!=0) { // engineering: may need to adjust ++ Int adj; // adjustment ++ // The C remainder operator is undefined for negative numbers, so ++ // a positive remainder calculation must be used here ++ if (e<0) { ++ adj=(-e)%3; ++ if (adj!=0) adj=3-adj; ++ } ++ else { // e>0 ++ adj=e%3; ++ } ++ e=e-adj; ++ // if dealing with zero still produce an exponent which is a ++ // multiple of three, as expected, but there will only be the ++ // one zero before the E, still. Otherwise note the padding. ++ if (!DFISZERO(df)) pre+=adj; ++ else { // is zero ++ if (adj!=0) { // 0.00Esnn needed ++ e=e+3; ++ pre=-(2-adj); ++ } ++ } // zero ++ } // engineering adjustment ++ } // exponential form ++ // printf("e=%ld pre=%ld exp=%ld\n", (LI)e, (LI)pre, (LI)exp); ++ ++ /* modify the coefficient, adding 0s, '.', and E+nn as needed */ ++ if (pre>0) { // ddd.ddd (plain), perhaps with E ++ // or dd00 padding for engineering ++ char *dotat=cstart+pre; ++ if (dotat=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s)); ++ *dotat='.'; ++ c++; // length increased by one ++ } // need dot? ++ else for (; c0 ++ else { ++ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (may have ++ E, but only for 0.00E+3 kind of case -- with plenty of spare ++ space in this case */ ++ pre=-pre+2; // gap width, including "0." ++ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point ++ // backoff if too far to the right ++ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit ++ // now shift the entire coefficient to the right, being careful not ++ // to access to the left of string [cannot use memcpy] ++ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s)); ++ // for Quads and Singles there may be a character or two left... ++ s+=3; // where next would come from ++ for(; s>=cstart; s--, t--) *(t+3)=*(s); ++ // now have fill 0. through 0.00000; use overlaps to avoid tests ++ if (pre>=4) { ++ memcpy(cstart+pre-4, "0000", 4); ++ memcpy(cstart, "0.00", 4); ++ } ++ else { // 2 or 3 ++ *(cstart+pre-1)='0'; ++ memcpy(cstart, "0.", 2); ++ } ++ c+=pre; // to end ++ } ++ ++ // finally add the E-part, if needed; it will never be 0, and has ++ // a maximum length of 3 or 4 digits (asserted above) ++ if (e!=0) { ++ memcpy(c, "E+", 2); // starts with E, assume + ++ c++; ++ if (e<0) { ++ *c='-'; // oops, need '-' ++ e=-e; // uInt, please ++ } ++ c++; ++ // Three-character exponents are easy; 4-character a little trickier ++ #if DECEMAXD<=3 ++ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte ++ // copy fixed 4 characters [is safe], starting at non-zero ++ // and with character mask to convert BCD to char ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); ++ c+=*(u+3); // bump pointer appropriately ++ #elif DECEMAXD==4 ++ if (e<1000) { // 3 (or fewer) digits case ++ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above] ++ c+=*(u+3); // bump pointer appropriately ++ } ++ else { // 4-digits ++ Int thou=((e>>3)*1049)>>17; // e/1000 ++ Int rem=e-(1000*thou); // e%1000 ++ *c++=(char)('0'+(char)thou); // the thousands digit ++ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u)|CHARMASK);// copy fixed 3+1 characters [is safe] ++ c+=3; // bump pointer, always 3 digits ++ } ++ #endif ++ } ++ *c='\0'; // terminate ++ //printf("res %s\n", string); ++ return string; ++ } // decFloatToEngString ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToPacked -- convert decFloat to Packed decimal + exponent */ ++/* */ ++/* df is the source decFloat */ ++/* exp will be set to the unbiased exponent, q, or to a special */ ++/* value in the form returned by decFloatGetExponent */ ++/* packed is where DECPMAX nibbles will be written with the sign as */ ++/* final nibble (0x0c for +, 0x0d for -); a NaN has a first nibble */ ++/* of zero, and an infinity is all zeros. decDouble and decQuad */ ++/* have a additional leading zero nibble, leading to result */ ++/* lengths of 4, 9, and 18 bytes. */ ++/* returns the sign of the coefficient (DECFLOAT_Sign if negative, */ ++/* 0 otherwise) */ ++/* */ ++/* No error is possible, and no status will be set. */ ++/* ------------------------------------------------------------------ */ ++Int decFloatToPacked(const decFloat *df, Int *exp, uByte *packed) { ++ uByte bcdar[DECPMAX+2]; // work buffer ++ uByte *ip=bcdar, *op=packed; // work pointers ++ if (DFISINF(df)) { ++ memset(bcdar, 0, DECPMAX+2); ++ *exp=DECFLOAT_Inf; ++ } ++ else { ++ GETCOEFF(df, bcdar+1); // use macro ++ if (DFISNAN(df)) { ++ bcdar[1]=0; // MSD needs clearing ++ *exp=DFWORD(df, 0)&0x7e000000; ++ } ++ else { // finite ++ *exp=GETEXPUN(df); ++ } ++ } ++ // now pack; coefficient currently at bcdar+1 ++ #if SINGLE ++ ip++; // ignore first byte ++ #else ++ *ip=0; // need leading zero ++ #endif ++ // set final byte to Packed BCD sign value ++ bcdar[DECPMAX+1]=(DFISSIGNED(df) ? DECPMINUS : DECPPLUS); ++ // pack an even number of bytes... ++ for (; op>26; // sign+combination field ++ msd=DECCOMBMSD[comb]; // decode the combination field ++ exp=DECCOMBEXP[comb]; // .. ++ ++ if (!EXPISSPECIAL(exp)) { // finite ++ // complete exponent; top two bits are in place ++ exp+=GETECON(df)-DECBIAS; // .. + continuation and unbias ++ } ++ else { // IS special ++ if (exp==DECFLOAT_Inf) { // infinity ++ strcpy(c, "Infinity"); ++ return string; // easy ++ } ++ if (sourhi&0x02000000) *c++='s'; // sNaN ++ strcpy(c, "NaN"); // complete word ++ c+=3; // step past ++ // quick exit if the payload is zero ++ #if DECPMAX==7 ++ if ((sourhi&0x000fffff)==0) return string; ++ #elif DECPMAX==16 ++ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; ++ #elif DECPMAX==34 ++ if (sourlo==0 && sourml==0 && sourmh==0 ++ && (sourhi&0x00003fff)==0) return string; ++ #endif ++ // otherwise drop through to add integer; set correct exp etc. ++ exp=0; msd=0; // setup for following code ++ } ++ ++ /* convert the digits of the significand to characters */ ++ cstart=c; // save start of coefficient ++ if (msd) *c++=(char)('0'+(char)msd); // non-zero most significant digit ++ ++ // Decode the declets. After extracting each declet, it is ++ // decoded to a 4-uByte sequence by table lookup; the four uBytes ++ // are the three encoded BCD8 digits followed by a 1-byte length ++ // (significant digits, except that 000 has length 0). This allows ++ // us to left-align the first declet with non-zero content, then ++ // the remaining ones are full 3-char length. Fixed-length copies ++ // are used because variable-length memcpy causes a subroutine call ++ // in at least two compilers. (The copies are length 4 for speed ++ // and are safe because the last item in the array is of length ++ // three and has the length byte following.) ++ #define dpd2char(dpdin) u=&DPD2BCD8[((dpdin)&0x3ff)*4]; \ ++ if (c!=cstart) {UBFROMUI(c, UBTOUI(u)|CHARMASK); c+=3;} \ ++ else if (*(u+3)) { \ ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); c+=*(u+3);} ++ ++ #if DECPMAX==7 ++ dpd2char(sourhi>>10); // declet 1 ++ dpd2char(sourhi); // declet 2 ++ ++ #elif DECPMAX==16 ++ dpd2char(sourhi>>8); // declet 1 ++ dpd2char((sourhi<<2) | (sourlo>>30)); // declet 2 ++ dpd2char(sourlo>>20); // declet 3 ++ dpd2char(sourlo>>10); // declet 4 ++ dpd2char(sourlo); // declet 5 ++ ++ #elif DECPMAX==34 ++ dpd2char(sourhi>>4); // declet 1 ++ dpd2char((sourhi<<6) | (sourmh>>26)); // declet 2 ++ dpd2char(sourmh>>16); // declet 3 ++ dpd2char(sourmh>>6); // declet 4 ++ dpd2char((sourmh<<4) | (sourml>>28)); // declet 5 ++ dpd2char(sourml>>18); // declet 6 ++ dpd2char(sourml>>8); // declet 7 ++ dpd2char((sourml<<2) | (sourlo>>30)); // declet 8 ++ dpd2char(sourlo>>20); // declet 9 ++ dpd2char(sourlo>>10); // declet 10 ++ dpd2char(sourlo); // declet 11 ++ #endif ++ ++ if (c==cstart) *c++='0'; // all zeros, empty -- make "0" ++ ++ //[This fast path is valid but adds 3-5 cycles to worst case length] ++ //if (exp==0) { // integer or NaN case -- easy ++ // *c='\0'; // terminate ++ // return string; ++ // } ++ ++ e=0; // assume no E ++ pre=(Int)(c-cstart)+exp; // length+exp [c->LSD+1] ++ // [here, pre-exp is the digits count (==1 for zero)] ++ ++ if (exp>0 || pre<-5) { // need exponential form ++ e=pre-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ } // exponential form ++ ++ /* modify the coefficient, adding 0s, '.', and E+nn as needed */ ++ if (pre>0) { // ddd.ddd (plain), perhaps with E ++ char *dotat=cstart+pre; ++ if (dotat=dotat; s-=4, t-=4) UBFROMUI(t, UBTOUI(s)); ++ *dotat='.'; ++ c++; // length increased by one ++ } // need dot? ++ ++ // finally add the E-part, if needed; it will never be 0, and has ++ // a maximum length of 3 or 4 digits (asserted above) ++ if (e!=0) { ++ memcpy(c, "E+", 2); // starts with E, assume + ++ c++; ++ if (e<0) { ++ *c='-'; // oops, need '-' ++ e=-e; // uInt, please ++ } ++ c++; ++ // Three-character exponents are easy; 4-character a little trickier ++ #if DECEMAXD<=3 ++ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte ++ // copy fixed 4 characters [is safe], starting at non-zero ++ // and with character mask to convert BCD to char ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); ++ c+=*(u+3); // bump pointer appropriately ++ #elif DECEMAXD==4 ++ if (e<1000) { // 3 (or fewer) digits case ++ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above] ++ c+=*(u+3); // bump pointer appropriately ++ } ++ else { // 4-digits ++ Int thou=((e>>3)*1049)>>17; // e/1000 ++ Int rem=e-(1000*thou); // e%1000 ++ *c++=(char)('0'+(char)thou); // the thousands digit ++ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe] ++ c+=3; // bump pointer, always 3 digits ++ } ++ #endif ++ } ++ *c='\0'; // add terminator ++ //printf("res %s\n", string); ++ return string; ++ } // pre>0 ++ ++ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ ++ // Surprisingly, this is close to being the worst-case path, so the ++ // shift is done by fours; this is a little tricky because the ++ // rightmost character to be written must not be beyond where the ++ // rightmost terminator could be -- so backoff to not touch ++ // terminator position if need be (this can make exact alignments ++ // for full Doubles, but in some cases needs care not to access too ++ // far to the left) ++ ++ pre=-pre+2; // gap width, including "0." ++ t=cstart+ROUNDDOWN4(c-cstart)+pre; // preferred first target point ++ // backoff if too far to the right ++ if (t>string+DECSTRING-5) t=string+DECSTRING-5; // adjust to fit ++ // now shift the entire coefficient to the right, being careful not ++ // to access to the left of string [cannot use memcpy] ++ for (s=t-pre; s>=string; s-=4, t-=4) UBFROMUI(t, UBTOUI(s)); ++ // for Quads and Singles there may be a character or two left... ++ s+=3; // where next would come from ++ for(; s>=cstart; s--, t--) *(t+3)=*(s); ++ // now have fill 0. through 0.00000; use overlaps to avoid tests ++ if (pre>=4) { ++ memcpy(cstart+pre-4, "0000", 4); ++ memcpy(cstart, "0.00", 4); ++ } ++ else { // 2 or 3 ++ *(cstart+pre-1)='0'; ++ memcpy(cstart, "0.", 2); ++ } ++ *(c+pre)='\0'; // terminate ++ return string; ++ } // decFloatToString ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatToWider -- conversion to next-wider format */ ++/* */ ++/* source is the decFloat format number which gets the result of */ ++/* the conversion */ ++/* wider is the decFloatWider format number which will be narrowed */ ++/* returns wider */ ++/* */ ++/* Widening is always exact; no status is set (sNaNs are copied and */ ++/* do not signal). The result will be canonical if the source is, */ ++/* and may or may not be if the source is not. */ ++/* ------------------------------------------------------------------ */ ++// widening is not possible for decQuad format numbers; simply omit ++#if !QUAD ++decFloatWider * decFloatToWider(const decFloat *source, decFloatWider *wider) { ++ uInt msd; ++ ++ /* Construct and copy the sign word */ ++ if (DFISSPECIAL(source)) { ++ // copy sign, combination, and first bit of exponent (sNaN selector) ++ DFWWORD(wider, 0)=DFWORD(source, 0)&0xfe000000; ++ msd=0; ++ } ++ else { // is finite number ++ uInt exp=GETEXPUN(source)+DECWBIAS; // get unbiased exponent and rebias ++ uInt code=(exp>>DECWECONL)<<29; // set two bits of exp [msd=0] ++ code|=(exp<<(32-6-DECWECONL)) & 0x03ffffff; // add exponent continuation ++ code|=DFWORD(source, 0)&0x80000000; // add sign ++ DFWWORD(wider, 0)=code; // .. and place top word in wider ++ msd=GETMSD(source); // get source coefficient MSD [0-9] ++ } ++ /* Copy the coefficient and clear any 'unused' words to left */ ++ #if SINGLE ++ DFWWORD(wider, 1)=(DFWORD(source, 0)&0x000fffff)|(msd<<20); ++ #elif DOUBLE ++ DFWWORD(wider, 2)=(DFWORD(source, 0)&0x0003ffff)|(msd<<18); ++ DFWWORD(wider, 3)=DFWORD(source, 1); ++ DFWWORD(wider, 1)=0; ++ #endif ++ return wider; ++ } // decFloatToWider ++#endif ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatVersion -- return package version string */ ++/* */ ++/* returns a constant string describing this package */ ++/* ------------------------------------------------------------------ */ ++const char *decFloatVersion(void) { ++ return DECVERSION; ++ } // decFloatVersion ++ ++/* ------------------------------------------------------------------ */ ++/* decFloatZero -- set to canonical (integer) zero */ ++/* */ ++/* df is the decFloat format number to integer +0 (q=0, c=+0) */ ++/* returns df */ ++/* */ ++/* No error is possible, and no status can be set. */ ++/* ------------------------------------------------------------------ */ ++decFloat * decFloatZero(decFloat *df){ ++ DFWORD(df, 0)=ZEROWORD; // set appropriate top word ++ #if DOUBLE || QUAD ++ DFWORD(df, 1)=0; ++ #if QUAD ++ DFWORD(df, 2)=0; ++ DFWORD(df, 3)=0; ++ #endif ++ #endif ++ // decFloatShow(df, "zero"); ++ return df; ++ } // decFloatZero ++ ++/* ------------------------------------------------------------------ */ ++/* Private generic function (not format-specific) for development use */ ++/* ------------------------------------------------------------------ */ ++// This is included once only, for all to use ++#if QUAD && (DECCHECK || DECTRACE) ++ /* ---------------------------------------------------------------- */ ++ /* decShowNum -- display bcd8 number in debug form */ ++ /* */ ++ /* num is the bcdnum to display */ ++ /* tag is a string to label the display */ ++ /* ---------------------------------------------------------------- */ ++ void decShowNum(const bcdnum *num, const char *tag) { ++ const char *csign="+"; // sign character ++ uByte *ub; // work ++ uInt uiwork; // for macros ++ if (num->sign==DECFLOAT_Sign) csign="-"; ++ ++ printf(">%s> ", tag); ++ if (num->exponent==DECFLOAT_Inf) printf("%sInfinity", csign); ++ else if (num->exponent==DECFLOAT_qNaN) printf("%sqNaN", csign); ++ else if (num->exponent==DECFLOAT_sNaN) printf("%ssNaN", csign); ++ else { // finite ++ char qbuf[10]; // for right-aligned q ++ char *c; // work ++ const uByte *u; // .. ++ Int e=num->exponent; // .. exponent ++ strcpy(qbuf, "q="); ++ c=&qbuf[2]; // where exponent will go ++ // lay out the exponent ++ if (e<0) { ++ *c++='-'; // add '-' ++ e=-e; // uInt, please ++ } ++ #if DECEMAXD>4 ++ #error Exponent form is too long for ShowNum to lay out ++ #endif ++ if (e==0) *c++='0'; // 0-length case ++ else if (e<1000) { // 3 (or fewer) digits case ++ u=&BIN2BCD8[e*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u+3-*(u+3))|CHARMASK); // [as above] ++ c+=*(u+3); // bump pointer appropriately ++ } ++ else { // 4-digits ++ Int thou=((e>>3)*1049)>>17; // e/1000 ++ Int rem=e-(1000*thou); // e%1000 ++ *c++=(char)('0'+(char)thou); // the thousands digit ++ u=&BIN2BCD8[rem*4]; // -> 3 digits + length byte ++ UBFROMUI(c, UBTOUI(u)|CHARMASK); // copy fixed 3+1 characters [is safe] ++ c+=3; // bump pointer, always 3 digits ++ } ++ *c='\0'; // add terminator ++ printf("%7s c=%s", qbuf, csign); ++ } ++ ++ if (!EXPISSPECIAL(num->exponent) || num->msd!=num->lsd || *num->lsd!=0) { ++ for (ub=num->msd; ub<=num->lsd; ub++) { // coefficient... ++ printf("%1x", *ub); ++ if ((num->lsd-ub)%3==0 && ub!=num->lsd) printf(" "); // 4-space ++ } ++ } ++ printf("\n"); ++ } // decShowNum ++#endif +diff -Naur a/src/decNumber/decContext.c b/src/decNumber/decContext.c +--- a/src/decNumber/decContext.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decContext.c 2021-09-29 10:19:45.799827632 -0700 +@@ -0,0 +1,437 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Context module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for handling arithmetic */ ++/* context structures. */ ++/* ------------------------------------------------------------------ */ ++ ++#include // for strcmp ++#include // for printf if DECCHECK ++#include "decContext.h" // context and base types ++#include "decNumberLocal.h" // decNumber local types, etc. ++ ++/* compile-time endian tester [assumes sizeof(Int)>1] */ ++static const Int mfcone=1; // constant 1 ++static const Flag *mfctop=(const Flag *)&mfcone; // -> top byte ++#define LITEND *mfctop // named flag; 1=little-endian ++ ++/* ------------------------------------------------------------------ */ ++/* round-for-reround digits */ ++/* ------------------------------------------------------------------ */ ++const uByte DECSTICKYTAB[10]={1,1,2,3,4,6,6,7,8,9}; /* used if sticky */ ++ ++/* ------------------------------------------------------------------ */ ++/* Powers of ten (powers[n]==10**n, 0<=n<=9) */ ++/* ------------------------------------------------------------------ */ ++const uInt DECPOWERS[10]={1, 10, 100, 1000, 10000, 100000, 1000000, ++ 10000000, 100000000, 1000000000}; ++ ++/* ------------------------------------------------------------------ */ ++/* decContextClearStatus -- clear bits in current status */ ++/* */ ++/* context is the context structure to be queried */ ++/* mask indicates the bits to be cleared (the status bit that */ ++/* corresponds to each 1 bit in the mask is cleared) */ ++/* returns context */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decContext *decContextClearStatus(decContext *context, uInt mask) { ++ context->status&=~mask; ++ return context; ++ } // decContextClearStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextDefault -- initialize a context structure */ ++/* */ ++/* context is the structure to be initialized */ ++/* kind selects the required set of default values, one of: */ ++/* DEC_INIT_BASE -- select ANSI X3-274 defaults */ ++/* DEC_INIT_DECIMAL32 -- select IEEE 754 defaults, 32-bit */ ++/* DEC_INIT_DECIMAL64 -- select IEEE 754 defaults, 64-bit */ ++/* DEC_INIT_DECIMAL128 -- select IEEE 754 defaults, 128-bit */ ++/* For any other value a valid context is returned, but with */ ++/* Invalid_operation set in the status field. */ ++/* returns a context structure with the appropriate initial values. */ ++/* ------------------------------------------------------------------ */ ++decContext * decContextDefault(decContext *context, Int kind) { ++ // set defaults... ++ context->digits=9; // 9 digits ++ context->emax=DEC_MAX_EMAX; // 9-digit exponents ++ context->emin=DEC_MIN_EMIN; // .. balanced ++ context->round=DEC_ROUND_HALF_UP; // 0.5 rises ++ context->traps=DEC_Errors; // all but informational ++ context->status=0; // cleared ++ context->clamp=0; // no clamping ++ #if DECSUBSET ++ context->extended=0; // cleared ++ #endif ++ switch (kind) { ++ case DEC_INIT_BASE: ++ // [use defaults] ++ break; ++ case DEC_INIT_DECIMAL32: ++ context->digits=7; // digits ++ context->emax=96; // Emax ++ context->emin=-95; // Emin ++ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even ++ context->traps=0; // no traps set ++ context->clamp=1; // clamp exponents ++ #if DECSUBSET ++ context->extended=1; // set ++ #endif ++ break; ++ case DEC_INIT_DECIMAL64: ++ context->digits=16; // digits ++ context->emax=384; // Emax ++ context->emin=-383; // Emin ++ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even ++ context->traps=0; // no traps set ++ context->clamp=1; // clamp exponents ++ #if DECSUBSET ++ context->extended=1; // set ++ #endif ++ break; ++ case DEC_INIT_DECIMAL128: ++ context->digits=34; // digits ++ context->emax=6144; // Emax ++ context->emin=-6143; // Emin ++ context->round=DEC_ROUND_HALF_EVEN; // 0.5 to nearest even ++ context->traps=0; // no traps set ++ context->clamp=1; // clamp exponents ++ #if DECSUBSET ++ context->extended=1; // set ++ #endif ++ break; ++ ++ default: // invalid Kind ++ // use defaults, and .. ++ decContextSetStatus(context, DEC_Invalid_operation); // trap ++ } ++ ++ return context;} // decContextDefault ++ ++/* ------------------------------------------------------------------ */ ++/* decContextGetRounding -- return current rounding mode */ ++/* */ ++/* context is the context structure to be queried */ ++/* returns the rounding mode */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++enum rounding decContextGetRounding(decContext *context) { ++ return context->round; ++ } // decContextGetRounding ++ ++/* ------------------------------------------------------------------ */ ++/* decContextGetStatus -- return current status */ ++/* */ ++/* context is the context structure to be queried */ ++/* returns status */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decContextGetStatus(decContext *context) { ++ return context->status; ++ } // decContextGetStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextRestoreStatus -- restore bits in current status */ ++/* */ ++/* context is the context structure to be updated */ ++/* newstatus is the source for the bits to be restored */ ++/* mask indicates the bits to be restored (the status bit that */ ++/* corresponds to each 1 bit in the mask is set to the value of */ ++/* the correspnding bit in newstatus) */ ++/* returns context */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decContext *decContextRestoreStatus(decContext *context, ++ uInt newstatus, uInt mask) { ++ context->status&=~mask; // clear the selected bits ++ context->status|=(mask&newstatus); // or in the new bits ++ return context; ++ } // decContextRestoreStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSaveStatus -- save bits in current status */ ++/* */ ++/* context is the context structure to be queried */ ++/* mask indicates the bits to be saved (the status bits that */ ++/* correspond to each 1 bit in the mask are saved) */ ++/* returns the AND of the mask and the current status */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decContextSaveStatus(decContext *context, uInt mask) { ++ return context->status&mask; ++ } // decContextSaveStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSetRounding -- set current rounding mode */ ++/* */ ++/* context is the context structure to be updated */ ++/* newround is the value which will replace the current mode */ ++/* returns context */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decContext *decContextSetRounding(decContext *context, ++ enum rounding newround) { ++ context->round=newround; ++ return context; ++ } // decContextSetRounding ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSetStatus -- set status and raise trap if appropriate */ ++/* */ ++/* context is the context structure to be updated */ ++/* status is the DEC_ exception code */ ++/* returns the context structure */ ++/* */ ++/* Control may never return from this routine, if there is a signal */ ++/* handler and it takes a long jump. */ ++/* ------------------------------------------------------------------ */ ++decContext * decContextSetStatus(decContext *context, uInt status) { ++ context->status|=status; ++ if (status & context->traps) raise(SIGFPE); ++ return context;} // decContextSetStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSetStatusFromString -- set status from a string + trap */ ++/* */ ++/* context is the context structure to be updated */ ++/* string is a string exactly equal to one that might be returned */ ++/* by decContextStatusToString */ ++/* */ ++/* The status bit corresponding to the string is set, and a trap */ ++/* is raised if appropriate. */ ++/* */ ++/* returns the context structure, unless the string is equal to */ ++/* DEC_Condition_MU or is not recognized. In these cases NULL is */ ++/* returned. */ ++/* ------------------------------------------------------------------ */ ++decContext * decContextSetStatusFromString(decContext *context, ++ const char *string) { ++ if (strcmp(string, DEC_Condition_CS)==0) ++ return decContextSetStatus(context, DEC_Conversion_syntax); ++ if (strcmp(string, DEC_Condition_DZ)==0) ++ return decContextSetStatus(context, DEC_Division_by_zero); ++ if (strcmp(string, DEC_Condition_DI)==0) ++ return decContextSetStatus(context, DEC_Division_impossible); ++ if (strcmp(string, DEC_Condition_DU)==0) ++ return decContextSetStatus(context, DEC_Division_undefined); ++ if (strcmp(string, DEC_Condition_IE)==0) ++ return decContextSetStatus(context, DEC_Inexact); ++ if (strcmp(string, DEC_Condition_IS)==0) ++ return decContextSetStatus(context, DEC_Insufficient_storage); ++ if (strcmp(string, DEC_Condition_IC)==0) ++ return decContextSetStatus(context, DEC_Invalid_context); ++ if (strcmp(string, DEC_Condition_IO)==0) ++ return decContextSetStatus(context, DEC_Invalid_operation); ++ #if DECSUBSET ++ if (strcmp(string, DEC_Condition_LD)==0) ++ return decContextSetStatus(context, DEC_Lost_digits); ++ #endif ++ if (strcmp(string, DEC_Condition_OV)==0) ++ return decContextSetStatus(context, DEC_Overflow); ++ if (strcmp(string, DEC_Condition_PA)==0) ++ return decContextSetStatus(context, DEC_Clamped); ++ if (strcmp(string, DEC_Condition_RO)==0) ++ return decContextSetStatus(context, DEC_Rounded); ++ if (strcmp(string, DEC_Condition_SU)==0) ++ return decContextSetStatus(context, DEC_Subnormal); ++ if (strcmp(string, DEC_Condition_UN)==0) ++ return decContextSetStatus(context, DEC_Underflow); ++ if (strcmp(string, DEC_Condition_ZE)==0) ++ return context; ++ return NULL; // Multiple status, or unknown ++ } // decContextSetStatusFromString ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSetStatusFromStringQuiet -- set status from a string */ ++/* */ ++/* context is the context structure to be updated */ ++/* string is a string exactly equal to one that might be returned */ ++/* by decContextStatusToString */ ++/* */ ++/* The status bit corresponding to the string is set; no trap is */ ++/* raised. */ ++/* */ ++/* returns the context structure, unless the string is equal to */ ++/* DEC_Condition_MU or is not recognized. In these cases NULL is */ ++/* returned. */ ++/* ------------------------------------------------------------------ */ ++decContext * decContextSetStatusFromStringQuiet(decContext *context, ++ const char *string) { ++ if (strcmp(string, DEC_Condition_CS)==0) ++ return decContextSetStatusQuiet(context, DEC_Conversion_syntax); ++ if (strcmp(string, DEC_Condition_DZ)==0) ++ return decContextSetStatusQuiet(context, DEC_Division_by_zero); ++ if (strcmp(string, DEC_Condition_DI)==0) ++ return decContextSetStatusQuiet(context, DEC_Division_impossible); ++ if (strcmp(string, DEC_Condition_DU)==0) ++ return decContextSetStatusQuiet(context, DEC_Division_undefined); ++ if (strcmp(string, DEC_Condition_IE)==0) ++ return decContextSetStatusQuiet(context, DEC_Inexact); ++ if (strcmp(string, DEC_Condition_IS)==0) ++ return decContextSetStatusQuiet(context, DEC_Insufficient_storage); ++ if (strcmp(string, DEC_Condition_IC)==0) ++ return decContextSetStatusQuiet(context, DEC_Invalid_context); ++ if (strcmp(string, DEC_Condition_IO)==0) ++ return decContextSetStatusQuiet(context, DEC_Invalid_operation); ++ #if DECSUBSET ++ if (strcmp(string, DEC_Condition_LD)==0) ++ return decContextSetStatusQuiet(context, DEC_Lost_digits); ++ #endif ++ if (strcmp(string, DEC_Condition_OV)==0) ++ return decContextSetStatusQuiet(context, DEC_Overflow); ++ if (strcmp(string, DEC_Condition_PA)==0) ++ return decContextSetStatusQuiet(context, DEC_Clamped); ++ if (strcmp(string, DEC_Condition_RO)==0) ++ return decContextSetStatusQuiet(context, DEC_Rounded); ++ if (strcmp(string, DEC_Condition_SU)==0) ++ return decContextSetStatusQuiet(context, DEC_Subnormal); ++ if (strcmp(string, DEC_Condition_UN)==0) ++ return decContextSetStatusQuiet(context, DEC_Underflow); ++ if (strcmp(string, DEC_Condition_ZE)==0) ++ return context; ++ return NULL; // Multiple status, or unknown ++ } // decContextSetStatusFromStringQuiet ++ ++/* ------------------------------------------------------------------ */ ++/* decContextSetStatusQuiet -- set status without trap */ ++/* */ ++/* context is the context structure to be updated */ ++/* status is the DEC_ exception code */ ++/* returns the context structure */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decContext * decContextSetStatusQuiet(decContext *context, uInt status) { ++ context->status|=status; ++ return context;} // decContextSetStatusQuiet ++ ++/* ------------------------------------------------------------------ */ ++/* decContextStatusToString -- convert status flags to a string */ ++/* */ ++/* context is a context with valid status field */ ++/* */ ++/* returns a constant string describing the condition. If multiple */ ++/* (or no) flags are set, a generic constant message is returned. */ ++/* ------------------------------------------------------------------ */ ++const char *decContextStatusToString(const decContext *context) { ++ Int status=context->status; ++ ++ // test the five IEEE first, as some of the others are ambiguous when ++ // DECEXTFLAG=0 ++ if (status==DEC_Invalid_operation ) return DEC_Condition_IO; ++ if (status==DEC_Division_by_zero ) return DEC_Condition_DZ; ++ if (status==DEC_Overflow ) return DEC_Condition_OV; ++ if (status==DEC_Underflow ) return DEC_Condition_UN; ++ if (status==DEC_Inexact ) return DEC_Condition_IE; ++ ++ if (status==DEC_Division_impossible ) return DEC_Condition_DI; ++ if (status==DEC_Division_undefined ) return DEC_Condition_DU; ++ if (status==DEC_Rounded ) return DEC_Condition_RO; ++ if (status==DEC_Clamped ) return DEC_Condition_PA; ++ if (status==DEC_Subnormal ) return DEC_Condition_SU; ++ if (status==DEC_Conversion_syntax ) return DEC_Condition_CS; ++ if (status==DEC_Insufficient_storage ) return DEC_Condition_IS; ++ if (status==DEC_Invalid_context ) return DEC_Condition_IC; ++ #if DECSUBSET ++ if (status==DEC_Lost_digits ) return DEC_Condition_LD; ++ #endif ++ if (status==0 ) return DEC_Condition_ZE; ++ return DEC_Condition_MU; // Multiple errors ++ } // decContextStatusToString ++ ++/* ------------------------------------------------------------------ */ ++/* decContextTestEndian -- test whether DECLITEND is set correctly */ ++/* */ ++/* quiet is 1 to suppress message; 0 otherwise */ ++/* returns 0 if DECLITEND is correct */ ++/* 1 if DECLITEND is incorrect and should be 1 */ ++/* -1 if DECLITEND is incorrect and should be 0 */ ++/* */ ++/* A message is displayed if the return value is not 0 and quiet==0. */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++Int decContextTestEndian(Flag quiet) { ++ Int res=0; // optimist ++ uInt dle=(uInt)DECLITEND; // unsign ++ if (dle>1) dle=1; // ensure 0 or 1 ++ ++ if (LITEND!=DECLITEND) { ++ if (!quiet) { // always refer to this ++ #if DECPRINT ++ const char *adj; ++ if (LITEND) adj="little"; ++ else adj="big"; ++ printf("Warning: DECLITEND is set to %d, but this computer appears to be %s-endian\n", ++ DECLITEND, adj); ++ #endif ++ } ++ res=(Int)LITEND-dle; ++ } ++ return res; ++ } // decContextTestEndian ++ ++/* ------------------------------------------------------------------ */ ++/* decContextTestSavedStatus -- test bits in saved status */ ++/* */ ++/* oldstatus is the status word to be tested */ ++/* mask indicates the bits to be tested (the oldstatus bits that */ ++/* correspond to each 1 bit in the mask are tested) */ ++/* returns 1 if any of the tested bits are 1, or 0 otherwise */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decContextTestSavedStatus(uInt oldstatus, uInt mask) { ++ return (oldstatus&mask)!=0; ++ } // decContextTestSavedStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextTestStatus -- test bits in current status */ ++/* */ ++/* context is the context structure to be updated */ ++/* mask indicates the bits to be tested (the status bits that */ ++/* correspond to each 1 bit in the mask are tested) */ ++/* returns 1 if any of the tested bits are 1, or 0 otherwise */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decContextTestStatus(decContext *context, uInt mask) { ++ return (context->status&mask)!=0; ++ } // decContextTestStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decContextZeroStatus -- clear all status bits */ ++/* */ ++/* context is the context structure to be updated */ ++/* returns context */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decContext *decContextZeroStatus(decContext *context) { ++ context->status=0; ++ return context; ++ } // decContextZeroStatus ++ +diff -Naur a/src/decNumber/decContext.h b/src/decNumber/decContext.h +--- a/src/decNumber/decContext.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decContext.h 2021-09-29 10:19:45.799827632 -0700 +@@ -0,0 +1,254 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Context module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* */ ++/* Context variables must always have valid values: */ ++/* */ ++/* status -- [any bits may be cleared, but not set, by user] */ ++/* round -- must be one of the enumerated rounding modes */ ++/* */ ++/* The following variables are implied for fixed size formats (i.e., */ ++/* they are ignored) but should still be set correctly in case used */ ++/* with decNumber functions: */ ++/* */ ++/* clamp -- must be either 0 or 1 */ ++/* digits -- must be in the range 1 through 999999999 */ ++/* emax -- must be in the range 0 through 999999999 */ ++/* emin -- must be in the range 0 through -999999999 */ ++/* extended -- must be either 0 or 1 [present only if DECSUBSET] */ ++/* traps -- only defined bits may be set */ ++/* */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECCONTEXT) ++ #define DECCONTEXT ++ #define DECCNAME "decContext" /* Short name */ ++ #define DECCFULLNAME "Decimal Context Descriptor" /* Verbose name */ ++ #define DECCAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ #if !defined(int32_t) ++ #include /* C99 standard integers */ ++ #endif ++ #include /* for printf, etc. */ ++ #include /* for traps */ ++ ++ /* Extended flags setting -- set this to 0 to use only IEEE flags */ ++ #if !defined(DECEXTFLAG) ++ #define DECEXTFLAG 1 /* 1=enable extended flags */ ++ #endif ++ ++ /* Conditional code flag -- set this to 0 for best performance */ ++ #if !defined(DECSUBSET) ++ #define DECSUBSET 0 /* 1=enable subset arithmetic */ ++ #endif ++ ++ /* Context for operations, with associated constants */ ++ enum rounding { ++ DEC_ROUND_CEILING, /* round towards +infinity */ ++ DEC_ROUND_UP, /* round away from 0 */ ++ DEC_ROUND_HALF_UP, /* 0.5 rounds up */ ++ DEC_ROUND_HALF_EVEN, /* 0.5 rounds to nearest even */ ++ DEC_ROUND_HALF_DOWN, /* 0.5 rounds down */ ++ DEC_ROUND_DOWN, /* round towards 0 (truncate) */ ++ DEC_ROUND_FLOOR, /* round towards -infinity */ ++ DEC_ROUND_05UP, /* round for reround */ ++ DEC_ROUND_MAX /* enum must be less than this */ ++ }; ++ #define DEC_ROUND_DEFAULT DEC_ROUND_HALF_EVEN; ++ ++ typedef struct { ++ int32_t digits; /* working precision */ ++ int32_t emax; /* maximum positive exponent */ ++ int32_t emin; /* minimum negative exponent */ ++ enum rounding round; /* rounding mode */ ++ uint32_t traps; /* trap-enabler flags */ ++ uint32_t status; /* status flags */ ++ uint8_t clamp; /* flag: apply IEEE exponent clamp */ ++ #if DECSUBSET ++ uint8_t extended; /* flag: special-values allowed */ ++ #endif ++ } decContext; ++ ++ /* Maxima and Minima for context settings */ ++ #define DEC_MAX_DIGITS 999999999 ++ #define DEC_MIN_DIGITS 1 ++ #define DEC_MAX_EMAX 999999999 ++ #define DEC_MIN_EMAX 0 ++ #define DEC_MAX_EMIN 0 ++ #define DEC_MIN_EMIN -999999999 ++ #define DEC_MAX_MATH 999999 /* max emax, etc., for math funcs. */ ++ ++ /* Classifications for decimal numbers, aligned with 754 (note that */ ++ /* 'normal' and 'subnormal' are meaningful only with a decContext */ ++ /* or a fixed size format). */ ++ enum decClass { ++ DEC_CLASS_SNAN, ++ DEC_CLASS_QNAN, ++ DEC_CLASS_NEG_INF, ++ DEC_CLASS_NEG_NORMAL, ++ DEC_CLASS_NEG_SUBNORMAL, ++ DEC_CLASS_NEG_ZERO, ++ DEC_CLASS_POS_ZERO, ++ DEC_CLASS_POS_SUBNORMAL, ++ DEC_CLASS_POS_NORMAL, ++ DEC_CLASS_POS_INF ++ }; ++ /* Strings for the decClasses */ ++ #define DEC_ClassString_SN "sNaN" ++ #define DEC_ClassString_QN "NaN" ++ #define DEC_ClassString_NI "-Infinity" ++ #define DEC_ClassString_NN "-Normal" ++ #define DEC_ClassString_NS "-Subnormal" ++ #define DEC_ClassString_NZ "-Zero" ++ #define DEC_ClassString_PZ "+Zero" ++ #define DEC_ClassString_PS "+Subnormal" ++ #define DEC_ClassString_PN "+Normal" ++ #define DEC_ClassString_PI "+Infinity" ++ #define DEC_ClassString_UN "Invalid" ++ ++ /* Trap-enabler and Status flags (exceptional conditions), and */ ++ /* their names. The top byte is reserved for internal use */ ++ #if DECEXTFLAG ++ /* Extended flags */ ++ #define DEC_Conversion_syntax 0x00000001 ++ #define DEC_Division_by_zero 0x00000002 ++ #define DEC_Division_impossible 0x00000004 ++ #define DEC_Division_undefined 0x00000008 ++ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */ ++ #define DEC_Inexact 0x00000020 ++ #define DEC_Invalid_context 0x00000040 ++ #define DEC_Invalid_operation 0x00000080 ++ #if DECSUBSET ++ #define DEC_Lost_digits 0x00000100 ++ #endif ++ #define DEC_Overflow 0x00000200 ++ #define DEC_Clamped 0x00000400 ++ #define DEC_Rounded 0x00000800 ++ #define DEC_Subnormal 0x00001000 ++ #define DEC_Underflow 0x00002000 ++ #else ++ /* IEEE flags only */ ++ #define DEC_Conversion_syntax 0x00000010 ++ #define DEC_Division_by_zero 0x00000002 ++ #define DEC_Division_impossible 0x00000010 ++ #define DEC_Division_undefined 0x00000010 ++ #define DEC_Insufficient_storage 0x00000010 /* [when malloc fails] */ ++ #define DEC_Inexact 0x00000001 ++ #define DEC_Invalid_context 0x00000010 ++ #define DEC_Invalid_operation 0x00000010 ++ #if DECSUBSET ++ #define DEC_Lost_digits 0x00000000 ++ #endif ++ #define DEC_Overflow 0x00000008 ++ #define DEC_Clamped 0x00000000 ++ #define DEC_Rounded 0x00000000 ++ #define DEC_Subnormal 0x00000000 ++ #define DEC_Underflow 0x00000004 ++ #endif ++ ++ /* IEEE 754 groupings for the flags */ ++ /* [DEC_Clamped, DEC_Lost_digits, DEC_Rounded, and DEC_Subnormal */ ++ /* are not in IEEE 754] */ ++ #define DEC_IEEE_754_Division_by_zero (DEC_Division_by_zero) ++ #if DECSUBSET ++ #define DEC_IEEE_754_Inexact (DEC_Inexact | DEC_Lost_digits) ++ #else ++ #define DEC_IEEE_754_Inexact (DEC_Inexact) ++ #endif ++ #define DEC_IEEE_754_Invalid_operation (DEC_Conversion_syntax | \ ++ DEC_Division_impossible | \ ++ DEC_Division_undefined | \ ++ DEC_Insufficient_storage | \ ++ DEC_Invalid_context | \ ++ DEC_Invalid_operation) ++ #define DEC_IEEE_754_Overflow (DEC_Overflow) ++ #define DEC_IEEE_754_Underflow (DEC_Underflow) ++ ++ /* flags which are normally errors (result is qNaN, infinite, or 0) */ ++ #define DEC_Errors (DEC_IEEE_754_Division_by_zero | \ ++ DEC_IEEE_754_Invalid_operation | \ ++ DEC_IEEE_754_Overflow | DEC_IEEE_754_Underflow) ++ /* flags which cause a result to become qNaN */ ++ #define DEC_NaNs DEC_IEEE_754_Invalid_operation ++ ++ /* flags which are normally for information only (finite results) */ ++ #if DECSUBSET ++ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact \ ++ | DEC_Lost_digits) ++ #else ++ #define DEC_Information (DEC_Clamped | DEC_Rounded | DEC_Inexact) ++ #endif ++ ++ /* IEEE 854 names (for compatibility with older decNumber versions) */ ++ #define DEC_IEEE_854_Division_by_zero DEC_IEEE_754_Division_by_zero ++ #define DEC_IEEE_854_Inexact DEC_IEEE_754_Inexact ++ #define DEC_IEEE_854_Invalid_operation DEC_IEEE_754_Invalid_operation ++ #define DEC_IEEE_854_Overflow DEC_IEEE_754_Overflow ++ #define DEC_IEEE_854_Underflow DEC_IEEE_754_Underflow ++ ++ /* Name strings for the exceptional conditions */ ++ #define DEC_Condition_CS "Conversion syntax" ++ #define DEC_Condition_DZ "Division by zero" ++ #define DEC_Condition_DI "Division impossible" ++ #define DEC_Condition_DU "Division undefined" ++ #define DEC_Condition_IE "Inexact" ++ #define DEC_Condition_IS "Insufficient storage" ++ #define DEC_Condition_IC "Invalid context" ++ #define DEC_Condition_IO "Invalid operation" ++ #if DECSUBSET ++ #define DEC_Condition_LD "Lost digits" ++ #endif ++ #define DEC_Condition_OV "Overflow" ++ #define DEC_Condition_PA "Clamped" ++ #define DEC_Condition_RO "Rounded" ++ #define DEC_Condition_SU "Subnormal" ++ #define DEC_Condition_UN "Underflow" ++ #define DEC_Condition_ZE "No status" ++ #define DEC_Condition_MU "Multiple status" ++ #define DEC_Condition_Length 21 /* length of the longest string, */ ++ /* including terminator */ ++ ++ /* Initialization descriptors, used by decContextDefault */ ++ #define DEC_INIT_BASE 0 ++ #define DEC_INIT_DECIMAL32 32 ++ #define DEC_INIT_DECIMAL64 64 ++ #define DEC_INIT_DECIMAL128 128 ++ /* Synonyms */ ++ #define DEC_INIT_DECSINGLE DEC_INIT_DECIMAL32 ++ #define DEC_INIT_DECDOUBLE DEC_INIT_DECIMAL64 ++ #define DEC_INIT_DECQUAD DEC_INIT_DECIMAL128 ++ ++ /* decContext routines */ ++ extern decContext * decContextClearStatus(decContext *, uint32_t); ++ extern decContext * decContextDefault(decContext *, int32_t); ++ extern enum rounding decContextGetRounding(decContext *); ++ extern uint32_t decContextGetStatus(decContext *); ++ extern decContext * decContextRestoreStatus(decContext *, uint32_t, uint32_t); ++ extern uint32_t decContextSaveStatus(decContext *, uint32_t); ++ extern decContext * decContextSetRounding(decContext *, enum rounding); ++ extern decContext * decContextSetStatus(decContext *, uint32_t); ++ extern decContext * decContextSetStatusFromString(decContext *, const char *); ++ extern decContext * decContextSetStatusFromStringQuiet(decContext *, const char *); ++ extern decContext * decContextSetStatusQuiet(decContext *, uint32_t); ++ extern const char * decContextStatusToString(const decContext *); ++ extern int32_t decContextTestEndian(uint8_t); ++ extern uint32_t decContextTestSavedStatus(uint32_t, uint32_t); ++ extern uint32_t decContextTestStatus(decContext *, uint32_t); ++ extern decContext * decContextZeroStatus(decContext *); ++ ++#endif +diff -Naur a/src/decNumber/decDouble.c b/src/decNumber/decDouble.c +--- a/src/decNumber/decDouble.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decDouble.c 2021-09-29 10:19:45.800827638 -0700 +@@ -0,0 +1,140 @@ ++/* ------------------------------------------------------------------ */ ++/* decDouble.c -- decDouble operations module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises decDouble operations (including conversions) */ ++/* ------------------------------------------------------------------ */ ++ ++#include "decContext.h" // public includes ++#include "decDouble.h" // .. ++ ++/* Constant mappings for shared code */ ++#define DECPMAX DECDOUBLE_Pmax ++#define DECEMIN DECDOUBLE_Emin ++#define DECEMAX DECDOUBLE_Emax ++#define DECEMAXD DECDOUBLE_EmaxD ++#define DECBYTES DECDOUBLE_Bytes ++#define DECSTRING DECDOUBLE_String ++#define DECECONL DECDOUBLE_EconL ++#define DECBIAS DECDOUBLE_Bias ++#define DECLETS DECDOUBLE_Declets ++#define DECQTINY (-DECDOUBLE_Bias) ++// parameters of next-wider format ++#define DECWBYTES DECQUAD_Bytes ++#define DECWPMAX DECQUAD_Pmax ++#define DECWECONL DECQUAD_EconL ++#define DECWBIAS DECQUAD_Bias ++ ++/* Type and function mappings for shared code */ ++#define decFloat decDouble // Type name ++#define decFloatWider decQuad // Type name ++ ++// Utilities and conversions (binary results, extractors, etc.) ++#define decFloatFromBCD decDoubleFromBCD ++#define decFloatFromInt32 decDoubleFromInt32 ++#define decFloatFromPacked decDoubleFromPacked ++#define decFloatFromPackedChecked decDoubleFromPackedChecked ++#define decFloatFromString decDoubleFromString ++#define decFloatFromUInt32 decDoubleFromUInt32 ++#define decFloatFromWider decDoubleFromWider ++#define decFloatGetCoefficient decDoubleGetCoefficient ++#define decFloatGetExponent decDoubleGetExponent ++#define decFloatSetCoefficient decDoubleSetCoefficient ++#define decFloatSetExponent decDoubleSetExponent ++#define decFloatShow decDoubleShow ++#define decFloatToBCD decDoubleToBCD ++#define decFloatToEngString decDoubleToEngString ++#define decFloatToInt32 decDoubleToInt32 ++#define decFloatToInt32Exact decDoubleToInt32Exact ++#define decFloatToPacked decDoubleToPacked ++#define decFloatToString decDoubleToString ++#define decFloatToUInt32 decDoubleToUInt32 ++#define decFloatToUInt32Exact decDoubleToUInt32Exact ++#define decFloatToWider decDoubleToWider ++#define decFloatZero decDoubleZero ++ ++// Computational (result is a decFloat) ++#define decFloatAbs decDoubleAbs ++#define decFloatAdd decDoubleAdd ++#define decFloatAnd decDoubleAnd ++#define decFloatDivide decDoubleDivide ++#define decFloatDivideInteger decDoubleDivideInteger ++#define decFloatFMA decDoubleFMA ++#define decFloatInvert decDoubleInvert ++#define decFloatLogB decDoubleLogB ++#define decFloatMax decDoubleMax ++#define decFloatMaxMag decDoubleMaxMag ++#define decFloatMin decDoubleMin ++#define decFloatMinMag decDoubleMinMag ++#define decFloatMinus decDoubleMinus ++#define decFloatMultiply decDoubleMultiply ++#define decFloatNextMinus decDoubleNextMinus ++#define decFloatNextPlus decDoubleNextPlus ++#define decFloatNextToward decDoubleNextToward ++#define decFloatOr decDoubleOr ++#define decFloatPlus decDoublePlus ++#define decFloatQuantize decDoubleQuantize ++#define decFloatReduce decDoubleReduce ++#define decFloatRemainder decDoubleRemainder ++#define decFloatRemainderNear decDoubleRemainderNear ++#define decFloatRotate decDoubleRotate ++#define decFloatScaleB decDoubleScaleB ++#define decFloatShift decDoubleShift ++#define decFloatSubtract decDoubleSubtract ++#define decFloatToIntegralValue decDoubleToIntegralValue ++#define decFloatToIntegralExact decDoubleToIntegralExact ++#define decFloatXor decDoubleXor ++ ++// Comparisons ++#define decFloatCompare decDoubleCompare ++#define decFloatCompareSignal decDoubleCompareSignal ++#define decFloatCompareTotal decDoubleCompareTotal ++#define decFloatCompareTotalMag decDoubleCompareTotalMag ++ ++// Copies ++#define decFloatCanonical decDoubleCanonical ++#define decFloatCopy decDoubleCopy ++#define decFloatCopyAbs decDoubleCopyAbs ++#define decFloatCopyNegate decDoubleCopyNegate ++#define decFloatCopySign decDoubleCopySign ++ ++// Non-computational ++#define decFloatClass decDoubleClass ++#define decFloatClassString decDoubleClassString ++#define decFloatDigits decDoubleDigits ++#define decFloatIsCanonical decDoubleIsCanonical ++#define decFloatIsFinite decDoubleIsFinite ++#define decFloatIsInfinite decDoubleIsInfinite ++#define decFloatIsInteger decDoubleIsInteger ++#define decFloatIsLogical decDoubleIsLogical ++#define decFloatIsNaN decDoubleIsNaN ++#define decFloatIsNegative decDoubleIsNegative ++#define decFloatIsNormal decDoubleIsNormal ++#define decFloatIsPositive decDoubleIsPositive ++#define decFloatIsSignaling decDoubleIsSignaling ++#define decFloatIsSignalling decDoubleIsSignalling ++#define decFloatIsSigned decDoubleIsSigned ++#define decFloatIsSubnormal decDoubleIsSubnormal ++#define decFloatIsZero decDoubleIsZero ++#define decFloatRadix decDoubleRadix ++#define decFloatSameQuantum decDoubleSameQuantum ++#define decFloatVersion decDoubleVersion ++ ++#include "decNumberLocal.h" // local includes (need DECPMAX) ++#include "decCommon.c" // non-arithmetic decFloat routines ++#include "decBasic.c" // basic formats routines ++ +diff -Naur a/src/decNumber/decDouble.h b/src/decNumber/decDouble.h +--- a/src/decNumber/decDouble.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decDouble.h 2021-09-29 10:19:45.800827638 -0700 +@@ -0,0 +1,155 @@ ++/* ------------------------------------------------------------------ */ ++/* decDouble.h -- Decimal 64-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECDOUBLE) ++ #define DECDOUBLE ++ ++ #define DECDOUBLENAME "decimalDouble" /* Short name */ ++ #define DECDOUBLETITLE "Decimal 64-bit datum" /* Verbose name */ ++ #define DECDOUBLEAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ /* parameters for decDoubles */ ++ #define DECDOUBLE_Bytes 8 /* length */ ++ #define DECDOUBLE_Pmax 16 /* maximum precision (digits) */ ++ #define DECDOUBLE_Emin -383 /* minimum adjusted exponent */ ++ #define DECDOUBLE_Emax 384 /* maximum adjusted exponent */ ++ #define DECDOUBLE_EmaxD 3 /* maximum exponent digits */ ++ #define DECDOUBLE_Bias 398 /* bias for the exponent */ ++ #define DECDOUBLE_String 25 /* maximum string length, +1 */ ++ #define DECDOUBLE_EconL 8 /* exponent continuation length */ ++ #define DECDOUBLE_Declets 5 /* count of declets */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECDOUBLE_Ehigh (DECDOUBLE_Emax + DECDOUBLE_Bias - (DECDOUBLE_Pmax-1)) ++ ++ /* Required includes */ ++ #include "decContext.h" ++ #include "decQuad.h" ++ ++ /* The decDouble decimal 64-bit type, accessible by all sizes */ ++ typedef union { ++ uint8_t bytes[DECDOUBLE_Bytes]; /* fields: 1, 5, 8, 50 bits */ ++ uint16_t shorts[DECDOUBLE_Bytes/2]; ++ uint32_t words[DECDOUBLE_Bytes/4]; ++ #if DECUSE64 ++ uint64_t longs[DECDOUBLE_Bytes/8]; ++ #endif ++ } decDouble; ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines -- implemented as decFloat routines in common files */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* Utilities and conversions, extractors, etc.) */ ++ extern decDouble * decDoubleFromBCD(decDouble *, int32_t, const uint8_t *, int32_t); ++ extern decDouble * decDoubleFromInt32(decDouble *, int32_t); ++ extern decDouble * decDoubleFromPacked(decDouble *, int32_t, const uint8_t *); ++ extern decDouble * decDoubleFromPackedChecked(decDouble *, int32_t, const uint8_t *); ++ extern decDouble * decDoubleFromString(decDouble *, const char *, decContext *); ++ extern decDouble * decDoubleFromUInt32(decDouble *, uint32_t); ++ extern decDouble * decDoubleFromWider(decDouble *, const decQuad *, decContext *); ++ extern int32_t decDoubleGetCoefficient(const decDouble *, uint8_t *); ++ extern int32_t decDoubleGetExponent(const decDouble *); ++ extern decDouble * decDoubleSetCoefficient(decDouble *, const uint8_t *, int32_t); ++ extern decDouble * decDoubleSetExponent(decDouble *, decContext *, int32_t); ++ extern void decDoubleShow(const decDouble *, const char *); ++ extern int32_t decDoubleToBCD(const decDouble *, int32_t *, uint8_t *); ++ extern char * decDoubleToEngString(const decDouble *, char *); ++ extern int32_t decDoubleToInt32(const decDouble *, decContext *, enum rounding); ++ extern int32_t decDoubleToInt32Exact(const decDouble *, decContext *, enum rounding); ++ extern int32_t decDoubleToPacked(const decDouble *, int32_t *, uint8_t *); ++ extern char * decDoubleToString(const decDouble *, char *); ++ extern uint32_t decDoubleToUInt32(const decDouble *, decContext *, enum rounding); ++ extern uint32_t decDoubleToUInt32Exact(const decDouble *, decContext *, enum rounding); ++ extern decQuad * decDoubleToWider(const decDouble *, decQuad *); ++ extern decDouble * decDoubleZero(decDouble *); ++ ++ /* Computational (result is a decDouble) */ ++ extern decDouble * decDoubleAbs(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleAdd(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleAnd(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleDivide(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleDivideInteger(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleFMA(decDouble *, const decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleInvert(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleLogB(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMax(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMaxMag(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMin(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMinMag(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMinus(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleMultiply(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleNextMinus(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleNextPlus(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleNextToward(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleOr(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoublePlus(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleQuantize(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleReduce(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleRemainder(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleRemainderNear(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleRotate(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleScaleB(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleShift(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleSubtract(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleToIntegralValue(decDouble *, const decDouble *, decContext *, enum rounding); ++ extern decDouble * decDoubleToIntegralExact(decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleXor(decDouble *, const decDouble *, const decDouble *, decContext *); ++ ++ /* Comparisons */ ++ extern decDouble * decDoubleCompare(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleCompareSignal(decDouble *, const decDouble *, const decDouble *, decContext *); ++ extern decDouble * decDoubleCompareTotal(decDouble *, const decDouble *, const decDouble *); ++ extern decDouble * decDoubleCompareTotalMag(decDouble *, const decDouble *, const decDouble *); ++ ++ /* Copies */ ++ extern decDouble * decDoubleCanonical(decDouble *, const decDouble *); ++ extern decDouble * decDoubleCopy(decDouble *, const decDouble *); ++ extern decDouble * decDoubleCopyAbs(decDouble *, const decDouble *); ++ extern decDouble * decDoubleCopyNegate(decDouble *, const decDouble *); ++ extern decDouble * decDoubleCopySign(decDouble *, const decDouble *, const decDouble *); ++ ++ /* Non-computational */ ++ extern enum decClass decDoubleClass(const decDouble *); ++ extern const char * decDoubleClassString(const decDouble *); ++ extern uint32_t decDoubleDigits(const decDouble *); ++ extern uint32_t decDoubleIsCanonical(const decDouble *); ++ extern uint32_t decDoubleIsFinite(const decDouble *); ++ extern uint32_t decDoubleIsInfinite(const decDouble *); ++ extern uint32_t decDoubleIsInteger(const decDouble *); ++ extern uint32_t decDoubleIsLogical(const decDouble *); ++ extern uint32_t decDoubleIsNaN(const decDouble *); ++ extern uint32_t decDoubleIsNegative(const decDouble *); ++ extern uint32_t decDoubleIsNormal(const decDouble *); ++ extern uint32_t decDoubleIsPositive(const decDouble *); ++ extern uint32_t decDoubleIsSignaling(const decDouble *); ++ extern uint32_t decDoubleIsSignalling(const decDouble *); ++ extern uint32_t decDoubleIsSigned(const decDouble *); ++ extern uint32_t decDoubleIsSubnormal(const decDouble *); ++ extern uint32_t decDoubleIsZero(const decDouble *); ++ extern uint32_t decDoubleRadix(const decDouble *); ++ extern uint32_t decDoubleSameQuantum(const decDouble *, const decDouble *); ++ extern const char * decDoubleVersion(void); ++ ++ /* decNumber conversions; these are implemented as macros so as not */ ++ /* to force a dependency on decimal64 and decNumber in decDouble. */ ++ /* decDoubleFromNumber returns a decimal64 * to avoid warnings. */ ++ #define decDoubleToNumber(dq, dn) decimal64ToNumber((decimal64 *)(dq), dn) ++ #define decDoubleFromNumber(dq, dn, set) decimal64FromNumber((decimal64 *)(dq), dn, set) ++ ++#endif +diff -Naur a/src/decNumber/decDPD.h b/src/decNumber/decDPD.h +--- a/src/decNumber/decDPD.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decDPD.h 2021-09-29 10:19:45.800827638 -0700 +@@ -0,0 +1,1185 @@ ++/* ------------------------------------------------------------------------ */ ++/* Binary Coded Decimal and Densely Packed Decimal conversion lookup tables */ ++/* [Automatically generated -- do not edit. 2008.06.21] */ ++/* ------------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ ++/* ------------------------------------------------------------------------ */ ++/* For details, see DPDecimal.html on the General Decimal Arithmetic page. */ ++/* */ ++/* This include file defines several DPD and BCD conversion tables: */ ++/* */ ++/* uint16_t BCD2DPD[2458]; -- BCD -> DPD (0x999 => 2457) */ ++/* uint16_t BIN2DPD[1000]; -- Bin -> DPD (999 => 2457) */ ++/* uint8_t BIN2CHAR[4001]; -- Bin -> CHAR (999 => '\3' '9' '9' '9') */ ++/* uint8_t BIN2BCD8[4000]; -- Bin -> bytes (999 => 9 9 9 3) */ ++/* uint16_t DPD2BCD[1024]; -- DPD -> BCD (0x3FF => 0x999) */ ++/* uint16_t DPD2BIN[1024]; -- DPD -> BIN (0x3FF => 999) */ ++/* uint32_t DPD2BINK[1024]; -- DPD -> BIN * 1000 (0x3FF => 999000) */ ++/* uint32_t DPD2BINM[1024]; -- DPD -> BIN * 1E+6 (0x3FF => 999000000) */ ++/* uint8_t DPD2BCD8[4096]; -- DPD -> bytes (x3FF => 9 9 9 3) */ ++/* */ ++/* In all cases the result (10 bits or 12 bits, or binary) is right-aligned */ ++/* in the table entry. BIN2CHAR entries are a single byte length (0 for */ ++/* value 0) followed by three digit characters; a trailing terminator is */ ++/* included to allow 4-char moves always. BIN2BCD8 and DPD2BCD8 entries */ ++/* are similar with the three BCD8 digits followed by a one-byte length */ ++/* (again, length=0 for value 0). */ ++/* */ ++/* To use a table, its name, prefixed with DEC_, must be defined with a */ ++/* value of 1 before this header file is included. For example: */ ++/* #define DEC_BCD2DPD 1 */ ++/* This mechanism allows software to only include tables that are needed. */ ++/* ------------------------------------------------------------------------ */ ++ ++#if defined(DEC_BCD2DPD) && DEC_BCD2DPD==1 && !defined(DECBCD2DPD) ++#define DECBCD2DPD ++ ++const uint16_t BCD2DPD[2458]={ 0, 1, 2, 3, 4, 5, 6, 7, ++ 8, 9, 0, 0, 0, 0, 0, 0, 16, 17, 18, 19, 20, ++ 21, 22, 23, 24, 25, 0, 0, 0, 0, 0, 0, 32, 33, ++ 34, 35, 36, 37, 38, 39, 40, 41, 0, 0, 0, 0, 0, ++ 0, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 0, 0, ++ 0, 0, 0, 0, 64, 65, 66, 67, 68, 69, 70, 71, 72, ++ 73, 0, 0, 0, 0, 0, 0, 80, 81, 82, 83, 84, 85, ++ 86, 87, 88, 89, 0, 0, 0, 0, 0, 0, 96, 97, 98, ++ 99, 100, 101, 102, 103, 104, 105, 0, 0, 0, 0, 0, 0, ++ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 0, 0, 0, ++ 0, 0, 0, 10, 11, 42, 43, 74, 75, 106, 107, 78, 79, ++ 0, 0, 0, 0, 0, 0, 26, 27, 58, 59, 90, 91, 122, ++ 123, 94, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 0, 0, ++ 0, 0, 0, 0, 144, 145, 146, 147, 148, 149, 150, 151, 152, ++ 153, 0, 0, 0, 0, 0, 0, 160, 161, 162, 163, 164, 165, ++ 166, 167, 168, 169, 0, 0, 0, 0, 0, 0, 176, 177, 178, ++ 179, 180, 181, 182, 183, 184, 185, 0, 0, 0, 0, 0, 0, ++ 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 0, 0, 0, ++ 0, 0, 0, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, ++ 0, 0, 0, 0, 0, 0, 224, 225, 226, 227, 228, 229, 230, ++ 231, 232, 233, 0, 0, 0, 0, 0, 0, 240, 241, 242, 243, ++ 244, 245, 246, 247, 248, 249, 0, 0, 0, 0, 0, 0, 138, ++ 139, 170, 171, 202, 203, 234, 235, 206, 207, 0, 0, 0, 0, ++ 0, 0, 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 257, 258, ++ 259, 260, 261, 262, 263, 264, 265, 0, 0, 0, 0, 0, 0, ++ 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 0, 0, 0, ++ 0, 0, 0, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, ++ 0, 0, 0, 0, 0, 0, 304, 305, 306, 307, 308, 309, 310, ++ 311, 312, 313, 0, 0, 0, 0, 0, 0, 320, 321, 322, 323, ++ 324, 325, 326, 327, 328, 329, 0, 0, 0, 0, 0, 0, 336, ++ 337, 338, 339, 340, 341, 342, 343, 344, 345, 0, 0, 0, 0, ++ 0, 0, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 0, ++ 0, 0, 0, 0, 0, 368, 369, 370, 371, 372, 373, 374, 375, ++ 376, 377, 0, 0, 0, 0, 0, 0, 266, 267, 298, 299, 330, ++ 331, 362, 363, 334, 335, 0, 0, 0, 0, 0, 0, 282, 283, ++ 314, 315, 346, 347, 378, 379, 350, 351, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 384, 385, 386, 387, 388, 389, 390, ++ 391, 392, 393, 0, 0, 0, 0, 0, 0, 400, 401, 402, 403, ++ 404, 405, 406, 407, 408, 409, 0, 0, 0, 0, 0, 0, 416, ++ 417, 418, 419, 420, 421, 422, 423, 424, 425, 0, 0, 0, 0, ++ 0, 0, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 0, ++ 0, 0, 0, 0, 0, 448, 449, 450, 451, 452, 453, 454, 455, ++ 456, 457, 0, 0, 0, 0, 0, 0, 464, 465, 466, 467, 468, ++ 469, 470, 471, 472, 473, 0, 0, 0, 0, 0, 0, 480, 481, ++ 482, 483, 484, 485, 486, 487, 488, 489, 0, 0, 0, 0, 0, ++ 0, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 0, 0, ++ 0, 0, 0, 0, 394, 395, 426, 427, 458, 459, 490, 491, 462, ++ 463, 0, 0, 0, 0, 0, 0, 410, 411, 442, 443, 474, 475, ++ 506, 507, 478, 479, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 0, ++ 0, 0, 0, 0, 0, 528, 529, 530, 531, 532, 533, 534, 535, ++ 536, 537, 0, 0, 0, 0, 0, 0, 544, 545, 546, 547, 548, ++ 549, 550, 551, 552, 553, 0, 0, 0, 0, 0, 0, 560, 561, ++ 562, 563, 564, 565, 566, 567, 568, 569, 0, 0, 0, 0, 0, ++ 0, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 0, 0, ++ 0, 0, 0, 0, 592, 593, 594, 595, 596, 597, 598, 599, 600, ++ 601, 0, 0, 0, 0, 0, 0, 608, 609, 610, 611, 612, 613, ++ 614, 615, 616, 617, 0, 0, 0, 0, 0, 0, 624, 625, 626, ++ 627, 628, 629, 630, 631, 632, 633, 0, 0, 0, 0, 0, 0, ++ 522, 523, 554, 555, 586, 587, 618, 619, 590, 591, 0, 0, 0, ++ 0, 0, 0, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 641, ++ 642, 643, 644, 645, 646, 647, 648, 649, 0, 0, 0, 0, 0, ++ 0, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 0, 0, ++ 0, 0, 0, 0, 672, 673, 674, 675, 676, 677, 678, 679, 680, ++ 681, 0, 0, 0, 0, 0, 0, 688, 689, 690, 691, 692, 693, ++ 694, 695, 696, 697, 0, 0, 0, 0, 0, 0, 704, 705, 706, ++ 707, 708, 709, 710, 711, 712, 713, 0, 0, 0, 0, 0, 0, ++ 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 0, 0, 0, ++ 0, 0, 0, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, ++ 0, 0, 0, 0, 0, 0, 752, 753, 754, 755, 756, 757, 758, ++ 759, 760, 761, 0, 0, 0, 0, 0, 0, 650, 651, 682, 683, ++ 714, 715, 746, 747, 718, 719, 0, 0, 0, 0, 0, 0, 666, ++ 667, 698, 699, 730, 731, 762, 763, 734, 735, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 768, 769, 770, 771, 772, 773, ++ 774, 775, 776, 777, 0, 0, 0, 0, 0, 0, 784, 785, 786, ++ 787, 788, 789, 790, 791, 792, 793, 0, 0, 0, 0, 0, 0, ++ 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 0, 0, 0, ++ 0, 0, 0, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, ++ 0, 0, 0, 0, 0, 0, 832, 833, 834, 835, 836, 837, 838, ++ 839, 840, 841, 0, 0, 0, 0, 0, 0, 848, 849, 850, 851, ++ 852, 853, 854, 855, 856, 857, 0, 0, 0, 0, 0, 0, 864, ++ 865, 866, 867, 868, 869, 870, 871, 872, 873, 0, 0, 0, 0, ++ 0, 0, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 0, ++ 0, 0, 0, 0, 0, 778, 779, 810, 811, 842, 843, 874, 875, ++ 846, 847, 0, 0, 0, 0, 0, 0, 794, 795, 826, 827, 858, ++ 859, 890, 891, 862, 863, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, ++ 0, 0, 0, 0, 0, 0, 912, 913, 914, 915, 916, 917, 918, ++ 919, 920, 921, 0, 0, 0, 0, 0, 0, 928, 929, 930, 931, ++ 932, 933, 934, 935, 936, 937, 0, 0, 0, 0, 0, 0, 944, ++ 945, 946, 947, 948, 949, 950, 951, 952, 953, 0, 0, 0, 0, ++ 0, 0, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 0, ++ 0, 0, 0, 0, 0, 976, 977, 978, 979, 980, 981, 982, 983, ++ 984, 985, 0, 0, 0, 0, 0, 0, 992, 993, 994, 995, 996, ++ 997, 998, 999, 1000, 1001, 0, 0, 0, 0, 0, 0, 1008, 1009, ++ 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 0, 0, 0, 0, 0, ++ 0, 906, 907, 938, 939, 970, 971, 1002, 1003, 974, 975, 0, 0, ++ 0, 0, 0, 0, 922, 923, 954, 955, 986, 987, 1018, 1019, 990, ++ 991, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, ++ 13, 268, 269, 524, 525, 780, 781, 46, 47, 0, 0, 0, 0, ++ 0, 0, 28, 29, 284, 285, 540, 541, 796, 797, 62, 63, 0, ++ 0, 0, 0, 0, 0, 44, 45, 300, 301, 556, 557, 812, 813, ++ 302, 303, 0, 0, 0, 0, 0, 0, 60, 61, 316, 317, 572, ++ 573, 828, 829, 318, 319, 0, 0, 0, 0, 0, 0, 76, 77, ++ 332, 333, 588, 589, 844, 845, 558, 559, 0, 0, 0, 0, 0, ++ 0, 92, 93, 348, 349, 604, 605, 860, 861, 574, 575, 0, 0, ++ 0, 0, 0, 0, 108, 109, 364, 365, 620, 621, 876, 877, 814, ++ 815, 0, 0, 0, 0, 0, 0, 124, 125, 380, 381, 636, 637, ++ 892, 893, 830, 831, 0, 0, 0, 0, 0, 0, 14, 15, 270, ++ 271, 526, 527, 782, 783, 110, 111, 0, 0, 0, 0, 0, 0, ++ 30, 31, 286, 287, 542, 543, 798, 799, 126, 127, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 140, 141, 396, 397, 652, ++ 653, 908, 909, 174, 175, 0, 0, 0, 0, 0, 0, 156, 157, ++ 412, 413, 668, 669, 924, 925, 190, 191, 0, 0, 0, 0, 0, ++ 0, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 0, 0, ++ 0, 0, 0, 0, 188, 189, 444, 445, 700, 701, 956, 957, 446, ++ 447, 0, 0, 0, 0, 0, 0, 204, 205, 460, 461, 716, 717, ++ 972, 973, 686, 687, 0, 0, 0, 0, 0, 0, 220, 221, 476, ++ 477, 732, 733, 988, 989, 702, 703, 0, 0, 0, 0, 0, 0, ++ 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943, 0, 0, 0, ++ 0, 0, 0, 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959, ++ 0, 0, 0, 0, 0, 0, 142, 143, 398, 399, 654, 655, 910, ++ 911, 238, 239, 0, 0, 0, 0, 0, 0, 158, 159, 414, 415, ++ 670, 671, 926, 927, 254, 255}; ++#endif ++ ++#if defined(DEC_DPD2BCD) && DEC_DPD2BCD==1 && !defined(DECDPD2BCD) ++#define DECDPD2BCD ++ ++const uint16_t DPD2BCD[1024]={ 0, 1, 2, 3, 4, 5, 6, 7, ++ 8, 9, 128, 129, 2048, 2049, 2176, 2177, 16, 17, 18, 19, 20, ++ 21, 22, 23, 24, 25, 144, 145, 2064, 2065, 2192, 2193, 32, 33, ++ 34, 35, 36, 37, 38, 39, 40, 41, 130, 131, 2080, 2081, 2056, ++ 2057, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 146, 147, ++ 2096, 2097, 2072, 2073, 64, 65, 66, 67, 68, 69, 70, 71, 72, ++ 73, 132, 133, 2112, 2113, 136, 137, 80, 81, 82, 83, 84, 85, ++ 86, 87, 88, 89, 148, 149, 2128, 2129, 152, 153, 96, 97, 98, ++ 99, 100, 101, 102, 103, 104, 105, 134, 135, 2144, 2145, 2184, 2185, ++ 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 150, 151, 2160, ++ 2161, 2200, 2201, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, ++ 384, 385, 2304, 2305, 2432, 2433, 272, 273, 274, 275, 276, 277, 278, ++ 279, 280, 281, 400, 401, 2320, 2321, 2448, 2449, 288, 289, 290, 291, ++ 292, 293, 294, 295, 296, 297, 386, 387, 2336, 2337, 2312, 2313, 304, ++ 305, 306, 307, 308, 309, 310, 311, 312, 313, 402, 403, 2352, 2353, ++ 2328, 2329, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 388, ++ 389, 2368, 2369, 392, 393, 336, 337, 338, 339, 340, 341, 342, 343, ++ 344, 345, 404, 405, 2384, 2385, 408, 409, 352, 353, 354, 355, 356, ++ 357, 358, 359, 360, 361, 390, 391, 2400, 2401, 2440, 2441, 368, 369, ++ 370, 371, 372, 373, 374, 375, 376, 377, 406, 407, 2416, 2417, 2456, ++ 2457, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 640, 641, ++ 2050, 2051, 2178, 2179, 528, 529, 530, 531, 532, 533, 534, 535, 536, ++ 537, 656, 657, 2066, 2067, 2194, 2195, 544, 545, 546, 547, 548, 549, ++ 550, 551, 552, 553, 642, 643, 2082, 2083, 2088, 2089, 560, 561, 562, ++ 563, 564, 565, 566, 567, 568, 569, 658, 659, 2098, 2099, 2104, 2105, ++ 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 644, 645, 2114, ++ 2115, 648, 649, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, ++ 660, 661, 2130, 2131, 664, 665, 608, 609, 610, 611, 612, 613, 614, ++ 615, 616, 617, 646, 647, 2146, 2147, 2184, 2185, 624, 625, 626, 627, ++ 628, 629, 630, 631, 632, 633, 662, 663, 2162, 2163, 2200, 2201, 768, ++ 769, 770, 771, 772, 773, 774, 775, 776, 777, 896, 897, 2306, 2307, ++ 2434, 2435, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 912, ++ 913, 2322, 2323, 2450, 2451, 800, 801, 802, 803, 804, 805, 806, 807, ++ 808, 809, 898, 899, 2338, 2339, 2344, 2345, 816, 817, 818, 819, 820, ++ 821, 822, 823, 824, 825, 914, 915, 2354, 2355, 2360, 2361, 832, 833, ++ 834, 835, 836, 837, 838, 839, 840, 841, 900, 901, 2370, 2371, 904, ++ 905, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 916, 917, ++ 2386, 2387, 920, 921, 864, 865, 866, 867, 868, 869, 870, 871, 872, ++ 873, 902, 903, 2402, 2403, 2440, 2441, 880, 881, 882, 883, 884, 885, ++ 886, 887, 888, 889, 918, 919, 2418, 2419, 2456, 2457, 1024, 1025, 1026, ++ 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1152, 1153, 2052, 2053, 2180, 2181, ++ 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1168, 1169, 2068, ++ 2069, 2196, 2197, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, ++ 1154, 1155, 2084, 2085, 2120, 2121, 1072, 1073, 1074, 1075, 1076, 1077, 1078, ++ 1079, 1080, 1081, 1170, 1171, 2100, 2101, 2136, 2137, 1088, 1089, 1090, 1091, ++ 1092, 1093, 1094, 1095, 1096, 1097, 1156, 1157, 2116, 2117, 1160, 1161, 1104, ++ 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1172, 1173, 2132, 2133, ++ 1176, 1177, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1158, ++ 1159, 2148, 2149, 2184, 2185, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, ++ 1144, 1145, 1174, 1175, 2164, 2165, 2200, 2201, 1280, 1281, 1282, 1283, 1284, ++ 1285, 1286, 1287, 1288, 1289, 1408, 1409, 2308, 2309, 2436, 2437, 1296, 1297, ++ 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1424, 1425, 2324, 2325, 2452, ++ 2453, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1410, 1411, ++ 2340, 2341, 2376, 2377, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, ++ 1337, 1426, 1427, 2356, 2357, 2392, 2393, 1344, 1345, 1346, 1347, 1348, 1349, ++ 1350, 1351, 1352, 1353, 1412, 1413, 2372, 2373, 1416, 1417, 1360, 1361, 1362, ++ 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1428, 1429, 2388, 2389, 1432, 1433, ++ 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1414, 1415, 2404, ++ 2405, 2440, 2441, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, ++ 1430, 1431, 2420, 2421, 2456, 2457, 1536, 1537, 1538, 1539, 1540, 1541, 1542, ++ 1543, 1544, 1545, 1664, 1665, 2054, 2055, 2182, 2183, 1552, 1553, 1554, 1555, ++ 1556, 1557, 1558, 1559, 1560, 1561, 1680, 1681, 2070, 2071, 2198, 2199, 1568, ++ 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1666, 1667, 2086, 2087, ++ 2152, 2153, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1682, ++ 1683, 2102, 2103, 2168, 2169, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, ++ 1608, 1609, 1668, 1669, 2118, 2119, 1672, 1673, 1616, 1617, 1618, 1619, 1620, ++ 1621, 1622, 1623, 1624, 1625, 1684, 1685, 2134, 2135, 1688, 1689, 1632, 1633, ++ 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1670, 1671, 2150, 2151, 2184, ++ 2185, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1686, 1687, ++ 2166, 2167, 2200, 2201, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, ++ 1801, 1920, 1921, 2310, 2311, 2438, 2439, 1808, 1809, 1810, 1811, 1812, 1813, ++ 1814, 1815, 1816, 1817, 1936, 1937, 2326, 2327, 2454, 2455, 1824, 1825, 1826, ++ 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1922, 1923, 2342, 2343, 2408, 2409, ++ 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1938, 1939, 2358, ++ 2359, 2424, 2425, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, ++ 1924, 1925, 2374, 2375, 1928, 1929, 1872, 1873, 1874, 1875, 1876, 1877, 1878, ++ 1879, 1880, 1881, 1940, 1941, 2390, 2391, 1944, 1945, 1888, 1889, 1890, 1891, ++ 1892, 1893, 1894, 1895, 1896, 1897, 1926, 1927, 2406, 2407, 2440, 2441, 1904, ++ 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1942, 1943, 2422, 2423, ++ 2456, 2457}; ++#endif ++ ++#if defined(DEC_BIN2DPD) && DEC_BIN2DPD==1 && !defined(DECBIN2DPD) ++#define DECBIN2DPD ++ ++const uint16_t BIN2DPD[1000]={ 0, 1, 2, 3, 4, 5, 6, 7, ++ 8, 9, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 32, ++ 33, 34, 35, 36, 37, 38, 39, 40, 41, 48, 49, 50, 51, ++ 52, 53, 54, 55, 56, 57, 64, 65, 66, 67, 68, 69, 70, ++ 71, 72, 73, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, ++ 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 112, 113, 114, ++ 115, 116, 117, 118, 119, 120, 121, 10, 11, 42, 43, 74, 75, ++ 106, 107, 78, 79, 26, 27, 58, 59, 90, 91, 122, 123, 94, ++ 95, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 144, 145, ++ 146, 147, 148, 149, 150, 151, 152, 153, 160, 161, 162, 163, 164, ++ 165, 166, 167, 168, 169, 176, 177, 178, 179, 180, 181, 182, 183, ++ 184, 185, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 208, ++ 209, 210, 211, 212, 213, 214, 215, 216, 217, 224, 225, 226, 227, ++ 228, 229, 230, 231, 232, 233, 240, 241, 242, 243, 244, 245, 246, ++ 247, 248, 249, 138, 139, 170, 171, 202, 203, 234, 235, 206, 207, ++ 154, 155, 186, 187, 218, 219, 250, 251, 222, 223, 256, 257, 258, ++ 259, 260, 261, 262, 263, 264, 265, 272, 273, 274, 275, 276, 277, ++ 278, 279, 280, 281, 288, 289, 290, 291, 292, 293, 294, 295, 296, ++ 297, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 320, 321, ++ 322, 323, 324, 325, 326, 327, 328, 329, 336, 337, 338, 339, 340, ++ 341, 342, 343, 344, 345, 352, 353, 354, 355, 356, 357, 358, 359, ++ 360, 361, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 266, ++ 267, 298, 299, 330, 331, 362, 363, 334, 335, 282, 283, 314, 315, ++ 346, 347, 378, 379, 350, 351, 384, 385, 386, 387, 388, 389, 390, ++ 391, 392, 393, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, ++ 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 432, 433, 434, ++ 435, 436, 437, 438, 439, 440, 441, 448, 449, 450, 451, 452, 453, ++ 454, 455, 456, 457, 464, 465, 466, 467, 468, 469, 470, 471, 472, ++ 473, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 496, 497, ++ 498, 499, 500, 501, 502, 503, 504, 505, 394, 395, 426, 427, 458, ++ 459, 490, 491, 462, 463, 410, 411, 442, 443, 474, 475, 506, 507, ++ 478, 479, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 528, ++ 529, 530, 531, 532, 533, 534, 535, 536, 537, 544, 545, 546, 547, ++ 548, 549, 550, 551, 552, 553, 560, 561, 562, 563, 564, 565, 566, ++ 567, 568, 569, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, ++ 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 608, 609, 610, ++ 611, 612, 613, 614, 615, 616, 617, 624, 625, 626, 627, 628, 629, ++ 630, 631, 632, 633, 522, 523, 554, 555, 586, 587, 618, 619, 590, ++ 591, 538, 539, 570, 571, 602, 603, 634, 635, 606, 607, 640, 641, ++ 642, 643, 644, 645, 646, 647, 648, 649, 656, 657, 658, 659, 660, ++ 661, 662, 663, 664, 665, 672, 673, 674, 675, 676, 677, 678, 679, ++ 680, 681, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 704, ++ 705, 706, 707, 708, 709, 710, 711, 712, 713, 720, 721, 722, 723, ++ 724, 725, 726, 727, 728, 729, 736, 737, 738, 739, 740, 741, 742, ++ 743, 744, 745, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, ++ 650, 651, 682, 683, 714, 715, 746, 747, 718, 719, 666, 667, 698, ++ 699, 730, 731, 762, 763, 734, 735, 768, 769, 770, 771, 772, 773, ++ 774, 775, 776, 777, 784, 785, 786, 787, 788, 789, 790, 791, 792, ++ 793, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 816, 817, ++ 818, 819, 820, 821, 822, 823, 824, 825, 832, 833, 834, 835, 836, ++ 837, 838, 839, 840, 841, 848, 849, 850, 851, 852, 853, 854, 855, ++ 856, 857, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 880, ++ 881, 882, 883, 884, 885, 886, 887, 888, 889, 778, 779, 810, 811, ++ 842, 843, 874, 875, 846, 847, 794, 795, 826, 827, 858, 859, 890, ++ 891, 862, 863, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, ++ 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 928, 929, 930, ++ 931, 932, 933, 934, 935, 936, 937, 944, 945, 946, 947, 948, 949, ++ 950, 951, 952, 953, 960, 961, 962, 963, 964, 965, 966, 967, 968, ++ 969, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 992, 993, ++ 994, 995, 996, 997, 998, 999, 1000, 1001, 1008, 1009, 1010, 1011, 1012, ++ 1013, 1014, 1015, 1016, 1017, 906, 907, 938, 939, 970, 971, 1002, 1003, ++ 974, 975, 922, 923, 954, 955, 986, 987, 1018, 1019, 990, 991, 12, ++ 13, 268, 269, 524, 525, 780, 781, 46, 47, 28, 29, 284, 285, ++ 540, 541, 796, 797, 62, 63, 44, 45, 300, 301, 556, 557, 812, ++ 813, 302, 303, 60, 61, 316, 317, 572, 573, 828, 829, 318, 319, ++ 76, 77, 332, 333, 588, 589, 844, 845, 558, 559, 92, 93, 348, ++ 349, 604, 605, 860, 861, 574, 575, 108, 109, 364, 365, 620, 621, ++ 876, 877, 814, 815, 124, 125, 380, 381, 636, 637, 892, 893, 830, ++ 831, 14, 15, 270, 271, 526, 527, 782, 783, 110, 111, 30, 31, ++ 286, 287, 542, 543, 798, 799, 126, 127, 140, 141, 396, 397, 652, ++ 653, 908, 909, 174, 175, 156, 157, 412, 413, 668, 669, 924, 925, ++ 190, 191, 172, 173, 428, 429, 684, 685, 940, 941, 430, 431, 188, ++ 189, 444, 445, 700, 701, 956, 957, 446, 447, 204, 205, 460, 461, ++ 716, 717, 972, 973, 686, 687, 220, 221, 476, 477, 732, 733, 988, ++ 989, 702, 703, 236, 237, 492, 493, 748, 749, 1004, 1005, 942, 943, ++ 252, 253, 508, 509, 764, 765, 1020, 1021, 958, 959, 142, 143, 398, ++ 399, 654, 655, 910, 911, 238, 239, 158, 159, 414, 415, 670, 671, ++ 926, 927, 254, 255}; ++#endif ++ ++#if defined(DEC_DPD2BIN) && DEC_DPD2BIN==1 && !defined(DECDPD2BIN) ++#define DECDPD2BIN ++ ++const uint16_t DPD2BIN[1024]={ 0, 1, 2, 3, 4, 5, 6, 7, ++ 8, 9, 80, 81, 800, 801, 880, 881, 10, 11, 12, 13, 14, ++ 15, 16, 17, 18, 19, 90, 91, 810, 811, 890, 891, 20, 21, ++ 22, 23, 24, 25, 26, 27, 28, 29, 82, 83, 820, 821, 808, ++ 809, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 92, 93, ++ 830, 831, 818, 819, 40, 41, 42, 43, 44, 45, 46, 47, 48, ++ 49, 84, 85, 840, 841, 88, 89, 50, 51, 52, 53, 54, 55, ++ 56, 57, 58, 59, 94, 95, 850, 851, 98, 99, 60, 61, 62, ++ 63, 64, 65, 66, 67, 68, 69, 86, 87, 860, 861, 888, 889, ++ 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 96, 97, 870, ++ 871, 898, 899, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, ++ 180, 181, 900, 901, 980, 981, 110, 111, 112, 113, 114, 115, 116, ++ 117, 118, 119, 190, 191, 910, 911, 990, 991, 120, 121, 122, 123, ++ 124, 125, 126, 127, 128, 129, 182, 183, 920, 921, 908, 909, 130, ++ 131, 132, 133, 134, 135, 136, 137, 138, 139, 192, 193, 930, 931, ++ 918, 919, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 184, ++ 185, 940, 941, 188, 189, 150, 151, 152, 153, 154, 155, 156, 157, ++ 158, 159, 194, 195, 950, 951, 198, 199, 160, 161, 162, 163, 164, ++ 165, 166, 167, 168, 169, 186, 187, 960, 961, 988, 989, 170, 171, ++ 172, 173, 174, 175, 176, 177, 178, 179, 196, 197, 970, 971, 998, ++ 999, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 280, 281, ++ 802, 803, 882, 883, 210, 211, 212, 213, 214, 215, 216, 217, 218, ++ 219, 290, 291, 812, 813, 892, 893, 220, 221, 222, 223, 224, 225, ++ 226, 227, 228, 229, 282, 283, 822, 823, 828, 829, 230, 231, 232, ++ 233, 234, 235, 236, 237, 238, 239, 292, 293, 832, 833, 838, 839, ++ 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 284, 285, 842, ++ 843, 288, 289, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, ++ 294, 295, 852, 853, 298, 299, 260, 261, 262, 263, 264, 265, 266, ++ 267, 268, 269, 286, 287, 862, 863, 888, 889, 270, 271, 272, 273, ++ 274, 275, 276, 277, 278, 279, 296, 297, 872, 873, 898, 899, 300, ++ 301, 302, 303, 304, 305, 306, 307, 308, 309, 380, 381, 902, 903, ++ 982, 983, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 390, ++ 391, 912, 913, 992, 993, 320, 321, 322, 323, 324, 325, 326, 327, ++ 328, 329, 382, 383, 922, 923, 928, 929, 330, 331, 332, 333, 334, ++ 335, 336, 337, 338, 339, 392, 393, 932, 933, 938, 939, 340, 341, ++ 342, 343, 344, 345, 346, 347, 348, 349, 384, 385, 942, 943, 388, ++ 389, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 394, 395, ++ 952, 953, 398, 399, 360, 361, 362, 363, 364, 365, 366, 367, 368, ++ 369, 386, 387, 962, 963, 988, 989, 370, 371, 372, 373, 374, 375, ++ 376, 377, 378, 379, 396, 397, 972, 973, 998, 999, 400, 401, 402, ++ 403, 404, 405, 406, 407, 408, 409, 480, 481, 804, 805, 884, 885, ++ 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 490, 491, 814, ++ 815, 894, 895, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, ++ 482, 483, 824, 825, 848, 849, 430, 431, 432, 433, 434, 435, 436, ++ 437, 438, 439, 492, 493, 834, 835, 858, 859, 440, 441, 442, 443, ++ 444, 445, 446, 447, 448, 449, 484, 485, 844, 845, 488, 489, 450, ++ 451, 452, 453, 454, 455, 456, 457, 458, 459, 494, 495, 854, 855, ++ 498, 499, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 486, ++ 487, 864, 865, 888, 889, 470, 471, 472, 473, 474, 475, 476, 477, ++ 478, 479, 496, 497, 874, 875, 898, 899, 500, 501, 502, 503, 504, ++ 505, 506, 507, 508, 509, 580, 581, 904, 905, 984, 985, 510, 511, ++ 512, 513, 514, 515, 516, 517, 518, 519, 590, 591, 914, 915, 994, ++ 995, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 582, 583, ++ 924, 925, 948, 949, 530, 531, 532, 533, 534, 535, 536, 537, 538, ++ 539, 592, 593, 934, 935, 958, 959, 540, 541, 542, 543, 544, 545, ++ 546, 547, 548, 549, 584, 585, 944, 945, 588, 589, 550, 551, 552, ++ 553, 554, 555, 556, 557, 558, 559, 594, 595, 954, 955, 598, 599, ++ 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 586, 587, 964, ++ 965, 988, 989, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, ++ 596, 597, 974, 975, 998, 999, 600, 601, 602, 603, 604, 605, 606, ++ 607, 608, 609, 680, 681, 806, 807, 886, 887, 610, 611, 612, 613, ++ 614, 615, 616, 617, 618, 619, 690, 691, 816, 817, 896, 897, 620, ++ 621, 622, 623, 624, 625, 626, 627, 628, 629, 682, 683, 826, 827, ++ 868, 869, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 692, ++ 693, 836, 837, 878, 879, 640, 641, 642, 643, 644, 645, 646, 647, ++ 648, 649, 684, 685, 846, 847, 688, 689, 650, 651, 652, 653, 654, ++ 655, 656, 657, 658, 659, 694, 695, 856, 857, 698, 699, 660, 661, ++ 662, 663, 664, 665, 666, 667, 668, 669, 686, 687, 866, 867, 888, ++ 889, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 696, 697, ++ 876, 877, 898, 899, 700, 701, 702, 703, 704, 705, 706, 707, 708, ++ 709, 780, 781, 906, 907, 986, 987, 710, 711, 712, 713, 714, 715, ++ 716, 717, 718, 719, 790, 791, 916, 917, 996, 997, 720, 721, 722, ++ 723, 724, 725, 726, 727, 728, 729, 782, 783, 926, 927, 968, 969, ++ 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 792, 793, 936, ++ 937, 978, 979, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, ++ 784, 785, 946, 947, 788, 789, 750, 751, 752, 753, 754, 755, 756, ++ 757, 758, 759, 794, 795, 956, 957, 798, 799, 760, 761, 762, 763, ++ 764, 765, 766, 767, 768, 769, 786, 787, 966, 967, 988, 989, 770, ++ 771, 772, 773, 774, 775, 776, 777, 778, 779, 796, 797, 976, 977, ++ 998, 999}; ++#endif ++ ++#if defined(DEC_DPD2BINK) && DEC_DPD2BINK==1 && !defined(DECDPD2BINK) ++#define DECDPD2BINK ++ ++const uint32_t DPD2BINK[1024]={ 0, 1000, 2000, 3000, 4000, 5000, ++ 6000, 7000, 8000, 9000, 80000, 81000, 800000, 801000, 880000, 881000, ++ 10000, 11000, 12000, 13000, 14000, 15000, 16000, 17000, 18000, 19000, ++ 90000, 91000, 810000, 811000, 890000, 891000, 20000, 21000, 22000, 23000, ++ 24000, 25000, 26000, 27000, 28000, 29000, 82000, 83000, 820000, 821000, ++ 808000, 809000, 30000, 31000, 32000, 33000, 34000, 35000, 36000, 37000, ++ 38000, 39000, 92000, 93000, 830000, 831000, 818000, 819000, 40000, 41000, ++ 42000, 43000, 44000, 45000, 46000, 47000, 48000, 49000, 84000, 85000, ++ 840000, 841000, 88000, 89000, 50000, 51000, 52000, 53000, 54000, 55000, ++ 56000, 57000, 58000, 59000, 94000, 95000, 850000, 851000, 98000, 99000, ++ 60000, 61000, 62000, 63000, 64000, 65000, 66000, 67000, 68000, 69000, ++ 86000, 87000, 860000, 861000, 888000, 889000, 70000, 71000, 72000, 73000, ++ 74000, 75000, 76000, 77000, 78000, 79000, 96000, 97000, 870000, 871000, ++ 898000, 899000, 100000, 101000, 102000, 103000, 104000, 105000, 106000, 107000, ++ 108000, 109000, 180000, 181000, 900000, 901000, 980000, 981000, 110000, 111000, ++ 112000, 113000, 114000, 115000, 116000, 117000, 118000, 119000, 190000, 191000, ++ 910000, 911000, 990000, 991000, 120000, 121000, 122000, 123000, 124000, 125000, ++ 126000, 127000, 128000, 129000, 182000, 183000, 920000, 921000, 908000, 909000, ++ 130000, 131000, 132000, 133000, 134000, 135000, 136000, 137000, 138000, 139000, ++ 192000, 193000, 930000, 931000, 918000, 919000, 140000, 141000, 142000, 143000, ++ 144000, 145000, 146000, 147000, 148000, 149000, 184000, 185000, 940000, 941000, ++ 188000, 189000, 150000, 151000, 152000, 153000, 154000, 155000, 156000, 157000, ++ 158000, 159000, 194000, 195000, 950000, 951000, 198000, 199000, 160000, 161000, ++ 162000, 163000, 164000, 165000, 166000, 167000, 168000, 169000, 186000, 187000, ++ 960000, 961000, 988000, 989000, 170000, 171000, 172000, 173000, 174000, 175000, ++ 176000, 177000, 178000, 179000, 196000, 197000, 970000, 971000, 998000, 999000, ++ 200000, 201000, 202000, 203000, 204000, 205000, 206000, 207000, 208000, 209000, ++ 280000, 281000, 802000, 803000, 882000, 883000, 210000, 211000, 212000, 213000, ++ 214000, 215000, 216000, 217000, 218000, 219000, 290000, 291000, 812000, 813000, ++ 892000, 893000, 220000, 221000, 222000, 223000, 224000, 225000, 226000, 227000, ++ 228000, 229000, 282000, 283000, 822000, 823000, 828000, 829000, 230000, 231000, ++ 232000, 233000, 234000, 235000, 236000, 237000, 238000, 239000, 292000, 293000, ++ 832000, 833000, 838000, 839000, 240000, 241000, 242000, 243000, 244000, 245000, ++ 246000, 247000, 248000, 249000, 284000, 285000, 842000, 843000, 288000, 289000, ++ 250000, 251000, 252000, 253000, 254000, 255000, 256000, 257000, 258000, 259000, ++ 294000, 295000, 852000, 853000, 298000, 299000, 260000, 261000, 262000, 263000, ++ 264000, 265000, 266000, 267000, 268000, 269000, 286000, 287000, 862000, 863000, ++ 888000, 889000, 270000, 271000, 272000, 273000, 274000, 275000, 276000, 277000, ++ 278000, 279000, 296000, 297000, 872000, 873000, 898000, 899000, 300000, 301000, ++ 302000, 303000, 304000, 305000, 306000, 307000, 308000, 309000, 380000, 381000, ++ 902000, 903000, 982000, 983000, 310000, 311000, 312000, 313000, 314000, 315000, ++ 316000, 317000, 318000, 319000, 390000, 391000, 912000, 913000, 992000, 993000, ++ 320000, 321000, 322000, 323000, 324000, 325000, 326000, 327000, 328000, 329000, ++ 382000, 383000, 922000, 923000, 928000, 929000, 330000, 331000, 332000, 333000, ++ 334000, 335000, 336000, 337000, 338000, 339000, 392000, 393000, 932000, 933000, ++ 938000, 939000, 340000, 341000, 342000, 343000, 344000, 345000, 346000, 347000, ++ 348000, 349000, 384000, 385000, 942000, 943000, 388000, 389000, 350000, 351000, ++ 352000, 353000, 354000, 355000, 356000, 357000, 358000, 359000, 394000, 395000, ++ 952000, 953000, 398000, 399000, 360000, 361000, 362000, 363000, 364000, 365000, ++ 366000, 367000, 368000, 369000, 386000, 387000, 962000, 963000, 988000, 989000, ++ 370000, 371000, 372000, 373000, 374000, 375000, 376000, 377000, 378000, 379000, ++ 396000, 397000, 972000, 973000, 998000, 999000, 400000, 401000, 402000, 403000, ++ 404000, 405000, 406000, 407000, 408000, 409000, 480000, 481000, 804000, 805000, ++ 884000, 885000, 410000, 411000, 412000, 413000, 414000, 415000, 416000, 417000, ++ 418000, 419000, 490000, 491000, 814000, 815000, 894000, 895000, 420000, 421000, ++ 422000, 423000, 424000, 425000, 426000, 427000, 428000, 429000, 482000, 483000, ++ 824000, 825000, 848000, 849000, 430000, 431000, 432000, 433000, 434000, 435000, ++ 436000, 437000, 438000, 439000, 492000, 493000, 834000, 835000, 858000, 859000, ++ 440000, 441000, 442000, 443000, 444000, 445000, 446000, 447000, 448000, 449000, ++ 484000, 485000, 844000, 845000, 488000, 489000, 450000, 451000, 452000, 453000, ++ 454000, 455000, 456000, 457000, 458000, 459000, 494000, 495000, 854000, 855000, ++ 498000, 499000, 460000, 461000, 462000, 463000, 464000, 465000, 466000, 467000, ++ 468000, 469000, 486000, 487000, 864000, 865000, 888000, 889000, 470000, 471000, ++ 472000, 473000, 474000, 475000, 476000, 477000, 478000, 479000, 496000, 497000, ++ 874000, 875000, 898000, 899000, 500000, 501000, 502000, 503000, 504000, 505000, ++ 506000, 507000, 508000, 509000, 580000, 581000, 904000, 905000, 984000, 985000, ++ 510000, 511000, 512000, 513000, 514000, 515000, 516000, 517000, 518000, 519000, ++ 590000, 591000, 914000, 915000, 994000, 995000, 520000, 521000, 522000, 523000, ++ 524000, 525000, 526000, 527000, 528000, 529000, 582000, 583000, 924000, 925000, ++ 948000, 949000, 530000, 531000, 532000, 533000, 534000, 535000, 536000, 537000, ++ 538000, 539000, 592000, 593000, 934000, 935000, 958000, 959000, 540000, 541000, ++ 542000, 543000, 544000, 545000, 546000, 547000, 548000, 549000, 584000, 585000, ++ 944000, 945000, 588000, 589000, 550000, 551000, 552000, 553000, 554000, 555000, ++ 556000, 557000, 558000, 559000, 594000, 595000, 954000, 955000, 598000, 599000, ++ 560000, 561000, 562000, 563000, 564000, 565000, 566000, 567000, 568000, 569000, ++ 586000, 587000, 964000, 965000, 988000, 989000, 570000, 571000, 572000, 573000, ++ 574000, 575000, 576000, 577000, 578000, 579000, 596000, 597000, 974000, 975000, ++ 998000, 999000, 600000, 601000, 602000, 603000, 604000, 605000, 606000, 607000, ++ 608000, 609000, 680000, 681000, 806000, 807000, 886000, 887000, 610000, 611000, ++ 612000, 613000, 614000, 615000, 616000, 617000, 618000, 619000, 690000, 691000, ++ 816000, 817000, 896000, 897000, 620000, 621000, 622000, 623000, 624000, 625000, ++ 626000, 627000, 628000, 629000, 682000, 683000, 826000, 827000, 868000, 869000, ++ 630000, 631000, 632000, 633000, 634000, 635000, 636000, 637000, 638000, 639000, ++ 692000, 693000, 836000, 837000, 878000, 879000, 640000, 641000, 642000, 643000, ++ 644000, 645000, 646000, 647000, 648000, 649000, 684000, 685000, 846000, 847000, ++ 688000, 689000, 650000, 651000, 652000, 653000, 654000, 655000, 656000, 657000, ++ 658000, 659000, 694000, 695000, 856000, 857000, 698000, 699000, 660000, 661000, ++ 662000, 663000, 664000, 665000, 666000, 667000, 668000, 669000, 686000, 687000, ++ 866000, 867000, 888000, 889000, 670000, 671000, 672000, 673000, 674000, 675000, ++ 676000, 677000, 678000, 679000, 696000, 697000, 876000, 877000, 898000, 899000, ++ 700000, 701000, 702000, 703000, 704000, 705000, 706000, 707000, 708000, 709000, ++ 780000, 781000, 906000, 907000, 986000, 987000, 710000, 711000, 712000, 713000, ++ 714000, 715000, 716000, 717000, 718000, 719000, 790000, 791000, 916000, 917000, ++ 996000, 997000, 720000, 721000, 722000, 723000, 724000, 725000, 726000, 727000, ++ 728000, 729000, 782000, 783000, 926000, 927000, 968000, 969000, 730000, 731000, ++ 732000, 733000, 734000, 735000, 736000, 737000, 738000, 739000, 792000, 793000, ++ 936000, 937000, 978000, 979000, 740000, 741000, 742000, 743000, 744000, 745000, ++ 746000, 747000, 748000, 749000, 784000, 785000, 946000, 947000, 788000, 789000, ++ 750000, 751000, 752000, 753000, 754000, 755000, 756000, 757000, 758000, 759000, ++ 794000, 795000, 956000, 957000, 798000, 799000, 760000, 761000, 762000, 763000, ++ 764000, 765000, 766000, 767000, 768000, 769000, 786000, 787000, 966000, 967000, ++ 988000, 989000, 770000, 771000, 772000, 773000, 774000, 775000, 776000, 777000, ++ 778000, 779000, 796000, 797000, 976000, 977000, 998000, 999000}; ++#endif ++ ++#if defined(DEC_DPD2BINM) && DEC_DPD2BINM==1 && !defined(DECDPD2BINM) ++#define DECDPD2BINM ++ ++const uint32_t DPD2BINM[1024]={0, 1000000, 2000000, 3000000, 4000000, ++ 5000000, 6000000, 7000000, 8000000, 9000000, 80000000, 81000000, ++ 800000000, 801000000, 880000000, 881000000, 10000000, 11000000, 12000000, ++ 13000000, 14000000, 15000000, 16000000, 17000000, 18000000, 19000000, ++ 90000000, 91000000, 810000000, 811000000, 890000000, 891000000, 20000000, ++ 21000000, 22000000, 23000000, 24000000, 25000000, 26000000, 27000000, ++ 28000000, 29000000, 82000000, 83000000, 820000000, 821000000, 808000000, ++ 809000000, 30000000, 31000000, 32000000, 33000000, 34000000, 35000000, ++ 36000000, 37000000, 38000000, 39000000, 92000000, 93000000, 830000000, ++ 831000000, 818000000, 819000000, 40000000, 41000000, 42000000, 43000000, ++ 44000000, 45000000, 46000000, 47000000, 48000000, 49000000, 84000000, ++ 85000000, 840000000, 841000000, 88000000, 89000000, 50000000, 51000000, ++ 52000000, 53000000, 54000000, 55000000, 56000000, 57000000, 58000000, ++ 59000000, 94000000, 95000000, 850000000, 851000000, 98000000, 99000000, ++ 60000000, 61000000, 62000000, 63000000, 64000000, 65000000, 66000000, ++ 67000000, 68000000, 69000000, 86000000, 87000000, 860000000, 861000000, ++ 888000000, 889000000, 70000000, 71000000, 72000000, 73000000, 74000000, ++ 75000000, 76000000, 77000000, 78000000, 79000000, 96000000, 97000000, ++ 870000000, 871000000, 898000000, 899000000, 100000000, 101000000, 102000000, ++ 103000000, 104000000, 105000000, 106000000, 107000000, 108000000, 109000000, ++ 180000000, 181000000, 900000000, 901000000, 980000000, 981000000, 110000000, ++ 111000000, 112000000, 113000000, 114000000, 115000000, 116000000, 117000000, ++ 118000000, 119000000, 190000000, 191000000, 910000000, 911000000, 990000000, ++ 991000000, 120000000, 121000000, 122000000, 123000000, 124000000, 125000000, ++ 126000000, 127000000, 128000000, 129000000, 182000000, 183000000, 920000000, ++ 921000000, 908000000, 909000000, 130000000, 131000000, 132000000, 133000000, ++ 134000000, 135000000, 136000000, 137000000, 138000000, 139000000, 192000000, ++ 193000000, 930000000, 931000000, 918000000, 919000000, 140000000, 141000000, ++ 142000000, 143000000, 144000000, 145000000, 146000000, 147000000, 148000000, ++ 149000000, 184000000, 185000000, 940000000, 941000000, 188000000, 189000000, ++ 150000000, 151000000, 152000000, 153000000, 154000000, 155000000, 156000000, ++ 157000000, 158000000, 159000000, 194000000, 195000000, 950000000, 951000000, ++ 198000000, 199000000, 160000000, 161000000, 162000000, 163000000, 164000000, ++ 165000000, 166000000, 167000000, 168000000, 169000000, 186000000, 187000000, ++ 960000000, 961000000, 988000000, 989000000, 170000000, 171000000, 172000000, ++ 173000000, 174000000, 175000000, 176000000, 177000000, 178000000, 179000000, ++ 196000000, 197000000, 970000000, 971000000, 998000000, 999000000, 200000000, ++ 201000000, 202000000, 203000000, 204000000, 205000000, 206000000, 207000000, ++ 208000000, 209000000, 280000000, 281000000, 802000000, 803000000, 882000000, ++ 883000000, 210000000, 211000000, 212000000, 213000000, 214000000, 215000000, ++ 216000000, 217000000, 218000000, 219000000, 290000000, 291000000, 812000000, ++ 813000000, 892000000, 893000000, 220000000, 221000000, 222000000, 223000000, ++ 224000000, 225000000, 226000000, 227000000, 228000000, 229000000, 282000000, ++ 283000000, 822000000, 823000000, 828000000, 829000000, 230000000, 231000000, ++ 232000000, 233000000, 234000000, 235000000, 236000000, 237000000, 238000000, ++ 239000000, 292000000, 293000000, 832000000, 833000000, 838000000, 839000000, ++ 240000000, 241000000, 242000000, 243000000, 244000000, 245000000, 246000000, ++ 247000000, 248000000, 249000000, 284000000, 285000000, 842000000, 843000000, ++ 288000000, 289000000, 250000000, 251000000, 252000000, 253000000, 254000000, ++ 255000000, 256000000, 257000000, 258000000, 259000000, 294000000, 295000000, ++ 852000000, 853000000, 298000000, 299000000, 260000000, 261000000, 262000000, ++ 263000000, 264000000, 265000000, 266000000, 267000000, 268000000, 269000000, ++ 286000000, 287000000, 862000000, 863000000, 888000000, 889000000, 270000000, ++ 271000000, 272000000, 273000000, 274000000, 275000000, 276000000, 277000000, ++ 278000000, 279000000, 296000000, 297000000, 872000000, 873000000, 898000000, ++ 899000000, 300000000, 301000000, 302000000, 303000000, 304000000, 305000000, ++ 306000000, 307000000, 308000000, 309000000, 380000000, 381000000, 902000000, ++ 903000000, 982000000, 983000000, 310000000, 311000000, 312000000, 313000000, ++ 314000000, 315000000, 316000000, 317000000, 318000000, 319000000, 390000000, ++ 391000000, 912000000, 913000000, 992000000, 993000000, 320000000, 321000000, ++ 322000000, 323000000, 324000000, 325000000, 326000000, 327000000, 328000000, ++ 329000000, 382000000, 383000000, 922000000, 923000000, 928000000, 929000000, ++ 330000000, 331000000, 332000000, 333000000, 334000000, 335000000, 336000000, ++ 337000000, 338000000, 339000000, 392000000, 393000000, 932000000, 933000000, ++ 938000000, 939000000, 340000000, 341000000, 342000000, 343000000, 344000000, ++ 345000000, 346000000, 347000000, 348000000, 349000000, 384000000, 385000000, ++ 942000000, 943000000, 388000000, 389000000, 350000000, 351000000, 352000000, ++ 353000000, 354000000, 355000000, 356000000, 357000000, 358000000, 359000000, ++ 394000000, 395000000, 952000000, 953000000, 398000000, 399000000, 360000000, ++ 361000000, 362000000, 363000000, 364000000, 365000000, 366000000, 367000000, ++ 368000000, 369000000, 386000000, 387000000, 962000000, 963000000, 988000000, ++ 989000000, 370000000, 371000000, 372000000, 373000000, 374000000, 375000000, ++ 376000000, 377000000, 378000000, 379000000, 396000000, 397000000, 972000000, ++ 973000000, 998000000, 999000000, 400000000, 401000000, 402000000, 403000000, ++ 404000000, 405000000, 406000000, 407000000, 408000000, 409000000, 480000000, ++ 481000000, 804000000, 805000000, 884000000, 885000000, 410000000, 411000000, ++ 412000000, 413000000, 414000000, 415000000, 416000000, 417000000, 418000000, ++ 419000000, 490000000, 491000000, 814000000, 815000000, 894000000, 895000000, ++ 420000000, 421000000, 422000000, 423000000, 424000000, 425000000, 426000000, ++ 427000000, 428000000, 429000000, 482000000, 483000000, 824000000, 825000000, ++ 848000000, 849000000, 430000000, 431000000, 432000000, 433000000, 434000000, ++ 435000000, 436000000, 437000000, 438000000, 439000000, 492000000, 493000000, ++ 834000000, 835000000, 858000000, 859000000, 440000000, 441000000, 442000000, ++ 443000000, 444000000, 445000000, 446000000, 447000000, 448000000, 449000000, ++ 484000000, 485000000, 844000000, 845000000, 488000000, 489000000, 450000000, ++ 451000000, 452000000, 453000000, 454000000, 455000000, 456000000, 457000000, ++ 458000000, 459000000, 494000000, 495000000, 854000000, 855000000, 498000000, ++ 499000000, 460000000, 461000000, 462000000, 463000000, 464000000, 465000000, ++ 466000000, 467000000, 468000000, 469000000, 486000000, 487000000, 864000000, ++ 865000000, 888000000, 889000000, 470000000, 471000000, 472000000, 473000000, ++ 474000000, 475000000, 476000000, 477000000, 478000000, 479000000, 496000000, ++ 497000000, 874000000, 875000000, 898000000, 899000000, 500000000, 501000000, ++ 502000000, 503000000, 504000000, 505000000, 506000000, 507000000, 508000000, ++ 509000000, 580000000, 581000000, 904000000, 905000000, 984000000, 985000000, ++ 510000000, 511000000, 512000000, 513000000, 514000000, 515000000, 516000000, ++ 517000000, 518000000, 519000000, 590000000, 591000000, 914000000, 915000000, ++ 994000000, 995000000, 520000000, 521000000, 522000000, 523000000, 524000000, ++ 525000000, 526000000, 527000000, 528000000, 529000000, 582000000, 583000000, ++ 924000000, 925000000, 948000000, 949000000, 530000000, 531000000, 532000000, ++ 533000000, 534000000, 535000000, 536000000, 537000000, 538000000, 539000000, ++ 592000000, 593000000, 934000000, 935000000, 958000000, 959000000, 540000000, ++ 541000000, 542000000, 543000000, 544000000, 545000000, 546000000, 547000000, ++ 548000000, 549000000, 584000000, 585000000, 944000000, 945000000, 588000000, ++ 589000000, 550000000, 551000000, 552000000, 553000000, 554000000, 555000000, ++ 556000000, 557000000, 558000000, 559000000, 594000000, 595000000, 954000000, ++ 955000000, 598000000, 599000000, 560000000, 561000000, 562000000, 563000000, ++ 564000000, 565000000, 566000000, 567000000, 568000000, 569000000, 586000000, ++ 587000000, 964000000, 965000000, 988000000, 989000000, 570000000, 571000000, ++ 572000000, 573000000, 574000000, 575000000, 576000000, 577000000, 578000000, ++ 579000000, 596000000, 597000000, 974000000, 975000000, 998000000, 999000000, ++ 600000000, 601000000, 602000000, 603000000, 604000000, 605000000, 606000000, ++ 607000000, 608000000, 609000000, 680000000, 681000000, 806000000, 807000000, ++ 886000000, 887000000, 610000000, 611000000, 612000000, 613000000, 614000000, ++ 615000000, 616000000, 617000000, 618000000, 619000000, 690000000, 691000000, ++ 816000000, 817000000, 896000000, 897000000, 620000000, 621000000, 622000000, ++ 623000000, 624000000, 625000000, 626000000, 627000000, 628000000, 629000000, ++ 682000000, 683000000, 826000000, 827000000, 868000000, 869000000, 630000000, ++ 631000000, 632000000, 633000000, 634000000, 635000000, 636000000, 637000000, ++ 638000000, 639000000, 692000000, 693000000, 836000000, 837000000, 878000000, ++ 879000000, 640000000, 641000000, 642000000, 643000000, 644000000, 645000000, ++ 646000000, 647000000, 648000000, 649000000, 684000000, 685000000, 846000000, ++ 847000000, 688000000, 689000000, 650000000, 651000000, 652000000, 653000000, ++ 654000000, 655000000, 656000000, 657000000, 658000000, 659000000, 694000000, ++ 695000000, 856000000, 857000000, 698000000, 699000000, 660000000, 661000000, ++ 662000000, 663000000, 664000000, 665000000, 666000000, 667000000, 668000000, ++ 669000000, 686000000, 687000000, 866000000, 867000000, 888000000, 889000000, ++ 670000000, 671000000, 672000000, 673000000, 674000000, 675000000, 676000000, ++ 677000000, 678000000, 679000000, 696000000, 697000000, 876000000, 877000000, ++ 898000000, 899000000, 700000000, 701000000, 702000000, 703000000, 704000000, ++ 705000000, 706000000, 707000000, 708000000, 709000000, 780000000, 781000000, ++ 906000000, 907000000, 986000000, 987000000, 710000000, 711000000, 712000000, ++ 713000000, 714000000, 715000000, 716000000, 717000000, 718000000, 719000000, ++ 790000000, 791000000, 916000000, 917000000, 996000000, 997000000, 720000000, ++ 721000000, 722000000, 723000000, 724000000, 725000000, 726000000, 727000000, ++ 728000000, 729000000, 782000000, 783000000, 926000000, 927000000, 968000000, ++ 969000000, 730000000, 731000000, 732000000, 733000000, 734000000, 735000000, ++ 736000000, 737000000, 738000000, 739000000, 792000000, 793000000, 936000000, ++ 937000000, 978000000, 979000000, 740000000, 741000000, 742000000, 743000000, ++ 744000000, 745000000, 746000000, 747000000, 748000000, 749000000, 784000000, ++ 785000000, 946000000, 947000000, 788000000, 789000000, 750000000, 751000000, ++ 752000000, 753000000, 754000000, 755000000, 756000000, 757000000, 758000000, ++ 759000000, 794000000, 795000000, 956000000, 957000000, 798000000, 799000000, ++ 760000000, 761000000, 762000000, 763000000, 764000000, 765000000, 766000000, ++ 767000000, 768000000, 769000000, 786000000, 787000000, 966000000, 967000000, ++ 988000000, 989000000, 770000000, 771000000, 772000000, 773000000, 774000000, ++ 775000000, 776000000, 777000000, 778000000, 779000000, 796000000, 797000000, ++ 976000000, 977000000, 998000000, 999000000}; ++#endif ++ ++#if defined(DEC_BIN2CHAR) && DEC_BIN2CHAR==1 && !defined(DECBIN2CHAR) ++#define DECBIN2CHAR ++ ++const uint8_t BIN2CHAR[4001]={ ++ '\0','0','0','0', '\1','0','0','1', '\1','0','0','2', '\1','0','0','3', '\1','0','0','4', ++ '\1','0','0','5', '\1','0','0','6', '\1','0','0','7', '\1','0','0','8', '\1','0','0','9', ++ '\2','0','1','0', '\2','0','1','1', '\2','0','1','2', '\2','0','1','3', '\2','0','1','4', ++ '\2','0','1','5', '\2','0','1','6', '\2','0','1','7', '\2','0','1','8', '\2','0','1','9', ++ '\2','0','2','0', '\2','0','2','1', '\2','0','2','2', '\2','0','2','3', '\2','0','2','4', ++ '\2','0','2','5', '\2','0','2','6', '\2','0','2','7', '\2','0','2','8', '\2','0','2','9', ++ '\2','0','3','0', '\2','0','3','1', '\2','0','3','2', '\2','0','3','3', '\2','0','3','4', ++ '\2','0','3','5', '\2','0','3','6', '\2','0','3','7', '\2','0','3','8', '\2','0','3','9', ++ '\2','0','4','0', '\2','0','4','1', '\2','0','4','2', '\2','0','4','3', '\2','0','4','4', ++ '\2','0','4','5', '\2','0','4','6', '\2','0','4','7', '\2','0','4','8', '\2','0','4','9', ++ '\2','0','5','0', '\2','0','5','1', '\2','0','5','2', '\2','0','5','3', '\2','0','5','4', ++ '\2','0','5','5', '\2','0','5','6', '\2','0','5','7', '\2','0','5','8', '\2','0','5','9', ++ '\2','0','6','0', '\2','0','6','1', '\2','0','6','2', '\2','0','6','3', '\2','0','6','4', ++ '\2','0','6','5', '\2','0','6','6', '\2','0','6','7', '\2','0','6','8', '\2','0','6','9', ++ '\2','0','7','0', '\2','0','7','1', '\2','0','7','2', '\2','0','7','3', '\2','0','7','4', ++ '\2','0','7','5', '\2','0','7','6', '\2','0','7','7', '\2','0','7','8', '\2','0','7','9', ++ '\2','0','8','0', '\2','0','8','1', '\2','0','8','2', '\2','0','8','3', '\2','0','8','4', ++ '\2','0','8','5', '\2','0','8','6', '\2','0','8','7', '\2','0','8','8', '\2','0','8','9', ++ '\2','0','9','0', '\2','0','9','1', '\2','0','9','2', '\2','0','9','3', '\2','0','9','4', ++ '\2','0','9','5', '\2','0','9','6', '\2','0','9','7', '\2','0','9','8', '\2','0','9','9', ++ '\3','1','0','0', '\3','1','0','1', '\3','1','0','2', '\3','1','0','3', '\3','1','0','4', ++ '\3','1','0','5', '\3','1','0','6', '\3','1','0','7', '\3','1','0','8', '\3','1','0','9', ++ '\3','1','1','0', '\3','1','1','1', '\3','1','1','2', '\3','1','1','3', '\3','1','1','4', ++ '\3','1','1','5', '\3','1','1','6', '\3','1','1','7', '\3','1','1','8', '\3','1','1','9', ++ '\3','1','2','0', '\3','1','2','1', '\3','1','2','2', '\3','1','2','3', '\3','1','2','4', ++ '\3','1','2','5', '\3','1','2','6', '\3','1','2','7', '\3','1','2','8', '\3','1','2','9', ++ '\3','1','3','0', '\3','1','3','1', '\3','1','3','2', '\3','1','3','3', '\3','1','3','4', ++ '\3','1','3','5', '\3','1','3','6', '\3','1','3','7', '\3','1','3','8', '\3','1','3','9', ++ '\3','1','4','0', '\3','1','4','1', '\3','1','4','2', '\3','1','4','3', '\3','1','4','4', ++ '\3','1','4','5', '\3','1','4','6', '\3','1','4','7', '\3','1','4','8', '\3','1','4','9', ++ '\3','1','5','0', '\3','1','5','1', '\3','1','5','2', '\3','1','5','3', '\3','1','5','4', ++ '\3','1','5','5', '\3','1','5','6', '\3','1','5','7', '\3','1','5','8', '\3','1','5','9', ++ '\3','1','6','0', '\3','1','6','1', '\3','1','6','2', '\3','1','6','3', '\3','1','6','4', ++ '\3','1','6','5', '\3','1','6','6', '\3','1','6','7', '\3','1','6','8', '\3','1','6','9', ++ '\3','1','7','0', '\3','1','7','1', '\3','1','7','2', '\3','1','7','3', '\3','1','7','4', ++ '\3','1','7','5', '\3','1','7','6', '\3','1','7','7', '\3','1','7','8', '\3','1','7','9', ++ '\3','1','8','0', '\3','1','8','1', '\3','1','8','2', '\3','1','8','3', '\3','1','8','4', ++ '\3','1','8','5', '\3','1','8','6', '\3','1','8','7', '\3','1','8','8', '\3','1','8','9', ++ '\3','1','9','0', '\3','1','9','1', '\3','1','9','2', '\3','1','9','3', '\3','1','9','4', ++ '\3','1','9','5', '\3','1','9','6', '\3','1','9','7', '\3','1','9','8', '\3','1','9','9', ++ '\3','2','0','0', '\3','2','0','1', '\3','2','0','2', '\3','2','0','3', '\3','2','0','4', ++ '\3','2','0','5', '\3','2','0','6', '\3','2','0','7', '\3','2','0','8', '\3','2','0','9', ++ '\3','2','1','0', '\3','2','1','1', '\3','2','1','2', '\3','2','1','3', '\3','2','1','4', ++ '\3','2','1','5', '\3','2','1','6', '\3','2','1','7', '\3','2','1','8', '\3','2','1','9', ++ '\3','2','2','0', '\3','2','2','1', '\3','2','2','2', '\3','2','2','3', '\3','2','2','4', ++ '\3','2','2','5', '\3','2','2','6', '\3','2','2','7', '\3','2','2','8', '\3','2','2','9', ++ '\3','2','3','0', '\3','2','3','1', '\3','2','3','2', '\3','2','3','3', '\3','2','3','4', ++ '\3','2','3','5', '\3','2','3','6', '\3','2','3','7', '\3','2','3','8', '\3','2','3','9', ++ '\3','2','4','0', '\3','2','4','1', '\3','2','4','2', '\3','2','4','3', '\3','2','4','4', ++ '\3','2','4','5', '\3','2','4','6', '\3','2','4','7', '\3','2','4','8', '\3','2','4','9', ++ '\3','2','5','0', '\3','2','5','1', '\3','2','5','2', '\3','2','5','3', '\3','2','5','4', ++ '\3','2','5','5', '\3','2','5','6', '\3','2','5','7', '\3','2','5','8', '\3','2','5','9', ++ '\3','2','6','0', '\3','2','6','1', '\3','2','6','2', '\3','2','6','3', '\3','2','6','4', ++ '\3','2','6','5', '\3','2','6','6', '\3','2','6','7', '\3','2','6','8', '\3','2','6','9', ++ '\3','2','7','0', '\3','2','7','1', '\3','2','7','2', '\3','2','7','3', '\3','2','7','4', ++ '\3','2','7','5', '\3','2','7','6', '\3','2','7','7', '\3','2','7','8', '\3','2','7','9', ++ '\3','2','8','0', '\3','2','8','1', '\3','2','8','2', '\3','2','8','3', '\3','2','8','4', ++ '\3','2','8','5', '\3','2','8','6', '\3','2','8','7', '\3','2','8','8', '\3','2','8','9', ++ '\3','2','9','0', '\3','2','9','1', '\3','2','9','2', '\3','2','9','3', '\3','2','9','4', ++ '\3','2','9','5', '\3','2','9','6', '\3','2','9','7', '\3','2','9','8', '\3','2','9','9', ++ '\3','3','0','0', '\3','3','0','1', '\3','3','0','2', '\3','3','0','3', '\3','3','0','4', ++ '\3','3','0','5', '\3','3','0','6', '\3','3','0','7', '\3','3','0','8', '\3','3','0','9', ++ '\3','3','1','0', '\3','3','1','1', '\3','3','1','2', '\3','3','1','3', '\3','3','1','4', ++ '\3','3','1','5', '\3','3','1','6', '\3','3','1','7', '\3','3','1','8', '\3','3','1','9', ++ '\3','3','2','0', '\3','3','2','1', '\3','3','2','2', '\3','3','2','3', '\3','3','2','4', ++ '\3','3','2','5', '\3','3','2','6', '\3','3','2','7', '\3','3','2','8', '\3','3','2','9', ++ '\3','3','3','0', '\3','3','3','1', '\3','3','3','2', '\3','3','3','3', '\3','3','3','4', ++ '\3','3','3','5', '\3','3','3','6', '\3','3','3','7', '\3','3','3','8', '\3','3','3','9', ++ '\3','3','4','0', '\3','3','4','1', '\3','3','4','2', '\3','3','4','3', '\3','3','4','4', ++ '\3','3','4','5', '\3','3','4','6', '\3','3','4','7', '\3','3','4','8', '\3','3','4','9', ++ '\3','3','5','0', '\3','3','5','1', '\3','3','5','2', '\3','3','5','3', '\3','3','5','4', ++ '\3','3','5','5', '\3','3','5','6', '\3','3','5','7', '\3','3','5','8', '\3','3','5','9', ++ '\3','3','6','0', '\3','3','6','1', '\3','3','6','2', '\3','3','6','3', '\3','3','6','4', ++ '\3','3','6','5', '\3','3','6','6', '\3','3','6','7', '\3','3','6','8', '\3','3','6','9', ++ '\3','3','7','0', '\3','3','7','1', '\3','3','7','2', '\3','3','7','3', '\3','3','7','4', ++ '\3','3','7','5', '\3','3','7','6', '\3','3','7','7', '\3','3','7','8', '\3','3','7','9', ++ '\3','3','8','0', '\3','3','8','1', '\3','3','8','2', '\3','3','8','3', '\3','3','8','4', ++ '\3','3','8','5', '\3','3','8','6', '\3','3','8','7', '\3','3','8','8', '\3','3','8','9', ++ '\3','3','9','0', '\3','3','9','1', '\3','3','9','2', '\3','3','9','3', '\3','3','9','4', ++ '\3','3','9','5', '\3','3','9','6', '\3','3','9','7', '\3','3','9','8', '\3','3','9','9', ++ '\3','4','0','0', '\3','4','0','1', '\3','4','0','2', '\3','4','0','3', '\3','4','0','4', ++ '\3','4','0','5', '\3','4','0','6', '\3','4','0','7', '\3','4','0','8', '\3','4','0','9', ++ '\3','4','1','0', '\3','4','1','1', '\3','4','1','2', '\3','4','1','3', '\3','4','1','4', ++ '\3','4','1','5', '\3','4','1','6', '\3','4','1','7', '\3','4','1','8', '\3','4','1','9', ++ '\3','4','2','0', '\3','4','2','1', '\3','4','2','2', '\3','4','2','3', '\3','4','2','4', ++ '\3','4','2','5', '\3','4','2','6', '\3','4','2','7', '\3','4','2','8', '\3','4','2','9', ++ '\3','4','3','0', '\3','4','3','1', '\3','4','3','2', '\3','4','3','3', '\3','4','3','4', ++ '\3','4','3','5', '\3','4','3','6', '\3','4','3','7', '\3','4','3','8', '\3','4','3','9', ++ '\3','4','4','0', '\3','4','4','1', '\3','4','4','2', '\3','4','4','3', '\3','4','4','4', ++ '\3','4','4','5', '\3','4','4','6', '\3','4','4','7', '\3','4','4','8', '\3','4','4','9', ++ '\3','4','5','0', '\3','4','5','1', '\3','4','5','2', '\3','4','5','3', '\3','4','5','4', ++ '\3','4','5','5', '\3','4','5','6', '\3','4','5','7', '\3','4','5','8', '\3','4','5','9', ++ '\3','4','6','0', '\3','4','6','1', '\3','4','6','2', '\3','4','6','3', '\3','4','6','4', ++ '\3','4','6','5', '\3','4','6','6', '\3','4','6','7', '\3','4','6','8', '\3','4','6','9', ++ '\3','4','7','0', '\3','4','7','1', '\3','4','7','2', '\3','4','7','3', '\3','4','7','4', ++ '\3','4','7','5', '\3','4','7','6', '\3','4','7','7', '\3','4','7','8', '\3','4','7','9', ++ '\3','4','8','0', '\3','4','8','1', '\3','4','8','2', '\3','4','8','3', '\3','4','8','4', ++ '\3','4','8','5', '\3','4','8','6', '\3','4','8','7', '\3','4','8','8', '\3','4','8','9', ++ '\3','4','9','0', '\3','4','9','1', '\3','4','9','2', '\3','4','9','3', '\3','4','9','4', ++ '\3','4','9','5', '\3','4','9','6', '\3','4','9','7', '\3','4','9','8', '\3','4','9','9', ++ '\3','5','0','0', '\3','5','0','1', '\3','5','0','2', '\3','5','0','3', '\3','5','0','4', ++ '\3','5','0','5', '\3','5','0','6', '\3','5','0','7', '\3','5','0','8', '\3','5','0','9', ++ '\3','5','1','0', '\3','5','1','1', '\3','5','1','2', '\3','5','1','3', '\3','5','1','4', ++ '\3','5','1','5', '\3','5','1','6', '\3','5','1','7', '\3','5','1','8', '\3','5','1','9', ++ '\3','5','2','0', '\3','5','2','1', '\3','5','2','2', '\3','5','2','3', '\3','5','2','4', ++ '\3','5','2','5', '\3','5','2','6', '\3','5','2','7', '\3','5','2','8', '\3','5','2','9', ++ '\3','5','3','0', '\3','5','3','1', '\3','5','3','2', '\3','5','3','3', '\3','5','3','4', ++ '\3','5','3','5', '\3','5','3','6', '\3','5','3','7', '\3','5','3','8', '\3','5','3','9', ++ '\3','5','4','0', '\3','5','4','1', '\3','5','4','2', '\3','5','4','3', '\3','5','4','4', ++ '\3','5','4','5', '\3','5','4','6', '\3','5','4','7', '\3','5','4','8', '\3','5','4','9', ++ '\3','5','5','0', '\3','5','5','1', '\3','5','5','2', '\3','5','5','3', '\3','5','5','4', ++ '\3','5','5','5', '\3','5','5','6', '\3','5','5','7', '\3','5','5','8', '\3','5','5','9', ++ '\3','5','6','0', '\3','5','6','1', '\3','5','6','2', '\3','5','6','3', '\3','5','6','4', ++ '\3','5','6','5', '\3','5','6','6', '\3','5','6','7', '\3','5','6','8', '\3','5','6','9', ++ '\3','5','7','0', '\3','5','7','1', '\3','5','7','2', '\3','5','7','3', '\3','5','7','4', ++ '\3','5','7','5', '\3','5','7','6', '\3','5','7','7', '\3','5','7','8', '\3','5','7','9', ++ '\3','5','8','0', '\3','5','8','1', '\3','5','8','2', '\3','5','8','3', '\3','5','8','4', ++ '\3','5','8','5', '\3','5','8','6', '\3','5','8','7', '\3','5','8','8', '\3','5','8','9', ++ '\3','5','9','0', '\3','5','9','1', '\3','5','9','2', '\3','5','9','3', '\3','5','9','4', ++ '\3','5','9','5', '\3','5','9','6', '\3','5','9','7', '\3','5','9','8', '\3','5','9','9', ++ '\3','6','0','0', '\3','6','0','1', '\3','6','0','2', '\3','6','0','3', '\3','6','0','4', ++ '\3','6','0','5', '\3','6','0','6', '\3','6','0','7', '\3','6','0','8', '\3','6','0','9', ++ '\3','6','1','0', '\3','6','1','1', '\3','6','1','2', '\3','6','1','3', '\3','6','1','4', ++ '\3','6','1','5', '\3','6','1','6', '\3','6','1','7', '\3','6','1','8', '\3','6','1','9', ++ '\3','6','2','0', '\3','6','2','1', '\3','6','2','2', '\3','6','2','3', '\3','6','2','4', ++ '\3','6','2','5', '\3','6','2','6', '\3','6','2','7', '\3','6','2','8', '\3','6','2','9', ++ '\3','6','3','0', '\3','6','3','1', '\3','6','3','2', '\3','6','3','3', '\3','6','3','4', ++ '\3','6','3','5', '\3','6','3','6', '\3','6','3','7', '\3','6','3','8', '\3','6','3','9', ++ '\3','6','4','0', '\3','6','4','1', '\3','6','4','2', '\3','6','4','3', '\3','6','4','4', ++ '\3','6','4','5', '\3','6','4','6', '\3','6','4','7', '\3','6','4','8', '\3','6','4','9', ++ '\3','6','5','0', '\3','6','5','1', '\3','6','5','2', '\3','6','5','3', '\3','6','5','4', ++ '\3','6','5','5', '\3','6','5','6', '\3','6','5','7', '\3','6','5','8', '\3','6','5','9', ++ '\3','6','6','0', '\3','6','6','1', '\3','6','6','2', '\3','6','6','3', '\3','6','6','4', ++ '\3','6','6','5', '\3','6','6','6', '\3','6','6','7', '\3','6','6','8', '\3','6','6','9', ++ '\3','6','7','0', '\3','6','7','1', '\3','6','7','2', '\3','6','7','3', '\3','6','7','4', ++ '\3','6','7','5', '\3','6','7','6', '\3','6','7','7', '\3','6','7','8', '\3','6','7','9', ++ '\3','6','8','0', '\3','6','8','1', '\3','6','8','2', '\3','6','8','3', '\3','6','8','4', ++ '\3','6','8','5', '\3','6','8','6', '\3','6','8','7', '\3','6','8','8', '\3','6','8','9', ++ '\3','6','9','0', '\3','6','9','1', '\3','6','9','2', '\3','6','9','3', '\3','6','9','4', ++ '\3','6','9','5', '\3','6','9','6', '\3','6','9','7', '\3','6','9','8', '\3','6','9','9', ++ '\3','7','0','0', '\3','7','0','1', '\3','7','0','2', '\3','7','0','3', '\3','7','0','4', ++ '\3','7','0','5', '\3','7','0','6', '\3','7','0','7', '\3','7','0','8', '\3','7','0','9', ++ '\3','7','1','0', '\3','7','1','1', '\3','7','1','2', '\3','7','1','3', '\3','7','1','4', ++ '\3','7','1','5', '\3','7','1','6', '\3','7','1','7', '\3','7','1','8', '\3','7','1','9', ++ '\3','7','2','0', '\3','7','2','1', '\3','7','2','2', '\3','7','2','3', '\3','7','2','4', ++ '\3','7','2','5', '\3','7','2','6', '\3','7','2','7', '\3','7','2','8', '\3','7','2','9', ++ '\3','7','3','0', '\3','7','3','1', '\3','7','3','2', '\3','7','3','3', '\3','7','3','4', ++ '\3','7','3','5', '\3','7','3','6', '\3','7','3','7', '\3','7','3','8', '\3','7','3','9', ++ '\3','7','4','0', '\3','7','4','1', '\3','7','4','2', '\3','7','4','3', '\3','7','4','4', ++ '\3','7','4','5', '\3','7','4','6', '\3','7','4','7', '\3','7','4','8', '\3','7','4','9', ++ '\3','7','5','0', '\3','7','5','1', '\3','7','5','2', '\3','7','5','3', '\3','7','5','4', ++ '\3','7','5','5', '\3','7','5','6', '\3','7','5','7', '\3','7','5','8', '\3','7','5','9', ++ '\3','7','6','0', '\3','7','6','1', '\3','7','6','2', '\3','7','6','3', '\3','7','6','4', ++ '\3','7','6','5', '\3','7','6','6', '\3','7','6','7', '\3','7','6','8', '\3','7','6','9', ++ '\3','7','7','0', '\3','7','7','1', '\3','7','7','2', '\3','7','7','3', '\3','7','7','4', ++ '\3','7','7','5', '\3','7','7','6', '\3','7','7','7', '\3','7','7','8', '\3','7','7','9', ++ '\3','7','8','0', '\3','7','8','1', '\3','7','8','2', '\3','7','8','3', '\3','7','8','4', ++ '\3','7','8','5', '\3','7','8','6', '\3','7','8','7', '\3','7','8','8', '\3','7','8','9', ++ '\3','7','9','0', '\3','7','9','1', '\3','7','9','2', '\3','7','9','3', '\3','7','9','4', ++ '\3','7','9','5', '\3','7','9','6', '\3','7','9','7', '\3','7','9','8', '\3','7','9','9', ++ '\3','8','0','0', '\3','8','0','1', '\3','8','0','2', '\3','8','0','3', '\3','8','0','4', ++ '\3','8','0','5', '\3','8','0','6', '\3','8','0','7', '\3','8','0','8', '\3','8','0','9', ++ '\3','8','1','0', '\3','8','1','1', '\3','8','1','2', '\3','8','1','3', '\3','8','1','4', ++ '\3','8','1','5', '\3','8','1','6', '\3','8','1','7', '\3','8','1','8', '\3','8','1','9', ++ '\3','8','2','0', '\3','8','2','1', '\3','8','2','2', '\3','8','2','3', '\3','8','2','4', ++ '\3','8','2','5', '\3','8','2','6', '\3','8','2','7', '\3','8','2','8', '\3','8','2','9', ++ '\3','8','3','0', '\3','8','3','1', '\3','8','3','2', '\3','8','3','3', '\3','8','3','4', ++ '\3','8','3','5', '\3','8','3','6', '\3','8','3','7', '\3','8','3','8', '\3','8','3','9', ++ '\3','8','4','0', '\3','8','4','1', '\3','8','4','2', '\3','8','4','3', '\3','8','4','4', ++ '\3','8','4','5', '\3','8','4','6', '\3','8','4','7', '\3','8','4','8', '\3','8','4','9', ++ '\3','8','5','0', '\3','8','5','1', '\3','8','5','2', '\3','8','5','3', '\3','8','5','4', ++ '\3','8','5','5', '\3','8','5','6', '\3','8','5','7', '\3','8','5','8', '\3','8','5','9', ++ '\3','8','6','0', '\3','8','6','1', '\3','8','6','2', '\3','8','6','3', '\3','8','6','4', ++ '\3','8','6','5', '\3','8','6','6', '\3','8','6','7', '\3','8','6','8', '\3','8','6','9', ++ '\3','8','7','0', '\3','8','7','1', '\3','8','7','2', '\3','8','7','3', '\3','8','7','4', ++ '\3','8','7','5', '\3','8','7','6', '\3','8','7','7', '\3','8','7','8', '\3','8','7','9', ++ '\3','8','8','0', '\3','8','8','1', '\3','8','8','2', '\3','8','8','3', '\3','8','8','4', ++ '\3','8','8','5', '\3','8','8','6', '\3','8','8','7', '\3','8','8','8', '\3','8','8','9', ++ '\3','8','9','0', '\3','8','9','1', '\3','8','9','2', '\3','8','9','3', '\3','8','9','4', ++ '\3','8','9','5', '\3','8','9','6', '\3','8','9','7', '\3','8','9','8', '\3','8','9','9', ++ '\3','9','0','0', '\3','9','0','1', '\3','9','0','2', '\3','9','0','3', '\3','9','0','4', ++ '\3','9','0','5', '\3','9','0','6', '\3','9','0','7', '\3','9','0','8', '\3','9','0','9', ++ '\3','9','1','0', '\3','9','1','1', '\3','9','1','2', '\3','9','1','3', '\3','9','1','4', ++ '\3','9','1','5', '\3','9','1','6', '\3','9','1','7', '\3','9','1','8', '\3','9','1','9', ++ '\3','9','2','0', '\3','9','2','1', '\3','9','2','2', '\3','9','2','3', '\3','9','2','4', ++ '\3','9','2','5', '\3','9','2','6', '\3','9','2','7', '\3','9','2','8', '\3','9','2','9', ++ '\3','9','3','0', '\3','9','3','1', '\3','9','3','2', '\3','9','3','3', '\3','9','3','4', ++ '\3','9','3','5', '\3','9','3','6', '\3','9','3','7', '\3','9','3','8', '\3','9','3','9', ++ '\3','9','4','0', '\3','9','4','1', '\3','9','4','2', '\3','9','4','3', '\3','9','4','4', ++ '\3','9','4','5', '\3','9','4','6', '\3','9','4','7', '\3','9','4','8', '\3','9','4','9', ++ '\3','9','5','0', '\3','9','5','1', '\3','9','5','2', '\3','9','5','3', '\3','9','5','4', ++ '\3','9','5','5', '\3','9','5','6', '\3','9','5','7', '\3','9','5','8', '\3','9','5','9', ++ '\3','9','6','0', '\3','9','6','1', '\3','9','6','2', '\3','9','6','3', '\3','9','6','4', ++ '\3','9','6','5', '\3','9','6','6', '\3','9','6','7', '\3','9','6','8', '\3','9','6','9', ++ '\3','9','7','0', '\3','9','7','1', '\3','9','7','2', '\3','9','7','3', '\3','9','7','4', ++ '\3','9','7','5', '\3','9','7','6', '\3','9','7','7', '\3','9','7','8', '\3','9','7','9', ++ '\3','9','8','0', '\3','9','8','1', '\3','9','8','2', '\3','9','8','3', '\3','9','8','4', ++ '\3','9','8','5', '\3','9','8','6', '\3','9','8','7', '\3','9','8','8', '\3','9','8','9', ++ '\3','9','9','0', '\3','9','9','1', '\3','9','9','2', '\3','9','9','3', '\3','9','9','4', ++ '\3','9','9','5', '\3','9','9','6', '\3','9','9','7', '\3','9','9','8', '\3','9','9','9', '\0'}; ++#endif ++ ++#if defined(DEC_DPD2BCD8) && DEC_DPD2BCD8==1 && !defined(DECDPD2BCD8) ++#define DECDPD2BCD8 ++ ++const uint8_t DPD2BCD8[4096]={ ++ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1, ++ 0,0,9,1, 0,8,0,2, 0,8,1,2, 8,0,0,3, 8,0,1,3, 8,8,0,3, 8,8,1,3, 0,1,0,2, 0,1,1,2, ++ 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2, 0,1,8,2, 0,1,9,2, 0,9,0,2, ++ 0,9,1,2, 8,1,0,3, 8,1,1,3, 8,9,0,3, 8,9,1,3, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2, ++ 0,2,4,2, 0,2,5,2, 0,2,6,2, 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,8,2,2, 0,8,3,2, 8,2,0,3, ++ 8,2,1,3, 8,0,8,3, 8,0,9,3, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2, ++ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,9,2,2, 0,9,3,2, 8,3,0,3, 8,3,1,3, 8,1,8,3, ++ 8,1,9,3, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2, 0,4,5,2, 0,4,6,2, 0,4,7,2, ++ 0,4,8,2, 0,4,9,2, 0,8,4,2, 0,8,5,2, 8,4,0,3, 8,4,1,3, 0,8,8,2, 0,8,9,2, 0,5,0,2, ++ 0,5,1,2, 0,5,2,2, 0,5,3,2, 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2, ++ 0,9,4,2, 0,9,5,2, 8,5,0,3, 8,5,1,3, 0,9,8,2, 0,9,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2, ++ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,8,6,2, 0,8,7,2, ++ 8,6,0,3, 8,6,1,3, 8,8,8,3, 8,8,9,3, 0,7,0,2, 0,7,1,2, 0,7,2,2, 0,7,3,2, 0,7,4,2, ++ 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,9,6,2, 0,9,7,2, 8,7,0,3, 8,7,1,3, ++ 8,9,8,3, 8,9,9,3, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3, ++ 1,0,7,3, 1,0,8,3, 1,0,9,3, 1,8,0,3, 1,8,1,3, 9,0,0,3, 9,0,1,3, 9,8,0,3, 9,8,1,3, ++ 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3, 1,1,7,3, 1,1,8,3, ++ 1,1,9,3, 1,9,0,3, 1,9,1,3, 9,1,0,3, 9,1,1,3, 9,9,0,3, 9,9,1,3, 1,2,0,3, 1,2,1,3, ++ 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3, 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,8,2,3, ++ 1,8,3,3, 9,2,0,3, 9,2,1,3, 9,0,8,3, 9,0,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3, ++ 1,3,4,3, 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,9,2,3, 1,9,3,3, 9,3,0,3, ++ 9,3,1,3, 9,1,8,3, 9,1,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3, 1,4,4,3, 1,4,5,3, ++ 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,8,4,3, 1,8,5,3, 9,4,0,3, 9,4,1,3, 1,8,8,3, ++ 1,8,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3, 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3, ++ 1,5,8,3, 1,5,9,3, 1,9,4,3, 1,9,5,3, 9,5,0,3, 9,5,1,3, 1,9,8,3, 1,9,9,3, 1,6,0,3, ++ 1,6,1,3, 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3, ++ 1,8,6,3, 1,8,7,3, 9,6,0,3, 9,6,1,3, 9,8,8,3, 9,8,9,3, 1,7,0,3, 1,7,1,3, 1,7,2,3, ++ 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3, 1,9,6,3, 1,9,7,3, ++ 9,7,0,3, 9,7,1,3, 9,9,8,3, 9,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3, ++ 2,0,5,3, 2,0,6,3, 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,8,0,3, 2,8,1,3, 8,0,2,3, 8,0,3,3, ++ 8,8,2,3, 8,8,3,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3, 2,1,6,3, ++ 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,9,0,3, 2,9,1,3, 8,1,2,3, 8,1,3,3, 8,9,2,3, 8,9,3,3, ++ 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3, 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3, ++ 2,2,9,3, 2,8,2,3, 2,8,3,3, 8,2,2,3, 8,2,3,3, 8,2,8,3, 8,2,9,3, 2,3,0,3, 2,3,1,3, ++ 2,3,2,3, 2,3,3,3, 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,9,2,3, ++ 2,9,3,3, 8,3,2,3, 8,3,3,3, 8,3,8,3, 8,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3, 2,4,3,3, ++ 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,8,4,3, 2,8,5,3, 8,4,2,3, ++ 8,4,3,3, 2,8,8,3, 2,8,9,3, 2,5,0,3, 2,5,1,3, 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3, ++ 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,9,4,3, 2,9,5,3, 8,5,2,3, 8,5,3,3, 2,9,8,3, ++ 2,9,9,3, 2,6,0,3, 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3, ++ 2,6,8,3, 2,6,9,3, 2,8,6,3, 2,8,7,3, 8,6,2,3, 8,6,3,3, 8,8,8,3, 8,8,9,3, 2,7,0,3, ++ 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3, 2,7,9,3, ++ 2,9,6,3, 2,9,7,3, 8,7,2,3, 8,7,3,3, 8,9,8,3, 8,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3, ++ 3,0,3,3, 3,0,4,3, 3,0,5,3, 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,8,0,3, 3,8,1,3, ++ 9,0,2,3, 9,0,3,3, 9,8,2,3, 9,8,3,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3, ++ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,9,0,3, 3,9,1,3, 9,1,2,3, 9,1,3,3, ++ 9,9,2,3, 9,9,3,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3, 3,2,4,3, 3,2,5,3, 3,2,6,3, ++ 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,8,2,3, 3,8,3,3, 9,2,2,3, 9,2,3,3, 9,2,8,3, 9,2,9,3, ++ 3,3,0,3, 3,3,1,3, 3,3,2,3, 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3, ++ 3,3,9,3, 3,9,2,3, 3,9,3,3, 9,3,2,3, 9,3,3,3, 9,3,8,3, 9,3,9,3, 3,4,0,3, 3,4,1,3, ++ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,8,4,3, ++ 3,8,5,3, 9,4,2,3, 9,4,3,3, 3,8,8,3, 3,8,9,3, 3,5,0,3, 3,5,1,3, 3,5,2,3, 3,5,3,3, ++ 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3, 3,9,4,3, 3,9,5,3, 9,5,2,3, ++ 9,5,3,3, 3,9,8,3, 3,9,9,3, 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3, ++ 3,6,6,3, 3,6,7,3, 3,6,8,3, 3,6,9,3, 3,8,6,3, 3,8,7,3, 9,6,2,3, 9,6,3,3, 9,8,8,3, ++ 9,8,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3, ++ 3,7,8,3, 3,7,9,3, 3,9,6,3, 3,9,7,3, 9,7,2,3, 9,7,3,3, 9,9,8,3, 9,9,9,3, 4,0,0,3, ++ 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3, 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3, ++ 4,8,0,3, 4,8,1,3, 8,0,4,3, 8,0,5,3, 8,8,4,3, 8,8,5,3, 4,1,0,3, 4,1,1,3, 4,1,2,3, ++ 4,1,3,3, 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,9,0,3, 4,9,1,3, ++ 8,1,4,3, 8,1,5,3, 8,9,4,3, 8,9,5,3, 4,2,0,3, 4,2,1,3, 4,2,2,3, 4,2,3,3, 4,2,4,3, ++ 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,8,2,3, 4,8,3,3, 8,2,4,3, 8,2,5,3, ++ 8,4,8,3, 8,4,9,3, 4,3,0,3, 4,3,1,3, 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3, ++ 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,9,2,3, 4,9,3,3, 8,3,4,3, 8,3,5,3, 8,5,8,3, 8,5,9,3, ++ 4,4,0,3, 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3, ++ 4,4,9,3, 4,8,4,3, 4,8,5,3, 8,4,4,3, 8,4,5,3, 4,8,8,3, 4,8,9,3, 4,5,0,3, 4,5,1,3, ++ 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3, 4,5,9,3, 4,9,4,3, ++ 4,9,5,3, 8,5,4,3, 8,5,5,3, 4,9,8,3, 4,9,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3, ++ 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3, 4,6,8,3, 4,6,9,3, 4,8,6,3, 4,8,7,3, 8,6,4,3, ++ 8,6,5,3, 8,8,8,3, 8,8,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3, ++ 4,7,6,3, 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,9,6,3, 4,9,7,3, 8,7,4,3, 8,7,5,3, 8,9,8,3, ++ 8,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3, 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3, ++ 5,0,8,3, 5,0,9,3, 5,8,0,3, 5,8,1,3, 9,0,4,3, 9,0,5,3, 9,8,4,3, 9,8,5,3, 5,1,0,3, ++ 5,1,1,3, 5,1,2,3, 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3, ++ 5,9,0,3, 5,9,1,3, 9,1,4,3, 9,1,5,3, 9,9,4,3, 9,9,5,3, 5,2,0,3, 5,2,1,3, 5,2,2,3, ++ 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,8,2,3, 5,8,3,3, ++ 9,2,4,3, 9,2,5,3, 9,4,8,3, 9,4,9,3, 5,3,0,3, 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3, ++ 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3, 5,9,2,3, 5,9,3,3, 9,3,4,3, 9,3,5,3, ++ 9,5,8,3, 9,5,9,3, 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3, ++ 5,4,7,3, 5,4,8,3, 5,4,9,3, 5,8,4,3, 5,8,5,3, 9,4,4,3, 9,4,5,3, 5,8,8,3, 5,8,9,3, ++ 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3, 5,5,8,3, ++ 5,5,9,3, 5,9,4,3, 5,9,5,3, 9,5,4,3, 9,5,5,3, 5,9,8,3, 5,9,9,3, 5,6,0,3, 5,6,1,3, ++ 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3, 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,8,6,3, ++ 5,8,7,3, 9,6,4,3, 9,6,5,3, 9,8,8,3, 9,8,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3, ++ 5,7,4,3, 5,7,5,3, 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,9,6,3, 5,9,7,3, 9,7,4,3, ++ 9,7,5,3, 9,9,8,3, 9,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3, 6,0,3,3, 6,0,4,3, 6,0,5,3, ++ 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,8,0,3, 6,8,1,3, 8,0,6,3, 8,0,7,3, 8,8,6,3, ++ 8,8,7,3, 6,1,0,3, 6,1,1,3, 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3, ++ 6,1,8,3, 6,1,9,3, 6,9,0,3, 6,9,1,3, 8,1,6,3, 8,1,7,3, 8,9,6,3, 8,9,7,3, 6,2,0,3, ++ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3, ++ 6,8,2,3, 6,8,3,3, 8,2,6,3, 8,2,7,3, 8,6,8,3, 8,6,9,3, 6,3,0,3, 6,3,1,3, 6,3,2,3, ++ 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3, 6,3,9,3, 6,9,2,3, 6,9,3,3, ++ 8,3,6,3, 8,3,7,3, 8,7,8,3, 8,7,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3, ++ 6,4,5,3, 6,4,6,3, 6,4,7,3, 6,4,8,3, 6,4,9,3, 6,8,4,3, 6,8,5,3, 8,4,6,3, 8,4,7,3, ++ 6,8,8,3, 6,8,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3, ++ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,9,4,3, 6,9,5,3, 8,5,6,3, 8,5,7,3, 6,9,8,3, 6,9,9,3, ++ 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3, 6,6,6,3, 6,6,7,3, 6,6,8,3, ++ 6,6,9,3, 6,8,6,3, 6,8,7,3, 8,6,6,3, 8,6,7,3, 8,8,8,3, 8,8,9,3, 6,7,0,3, 6,7,1,3, ++ 6,7,2,3, 6,7,3,3, 6,7,4,3, 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,9,6,3, ++ 6,9,7,3, 8,7,6,3, 8,7,7,3, 8,9,8,3, 8,9,9,3, 7,0,0,3, 7,0,1,3, 7,0,2,3, 7,0,3,3, ++ 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,8,0,3, 7,8,1,3, 9,0,6,3, ++ 9,0,7,3, 9,8,6,3, 9,8,7,3, 7,1,0,3, 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3, ++ 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3, 7,9,0,3, 7,9,1,3, 9,1,6,3, 9,1,7,3, 9,9,6,3, ++ 9,9,7,3, 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3, ++ 7,2,8,3, 7,2,9,3, 7,8,2,3, 7,8,3,3, 9,2,6,3, 9,2,7,3, 9,6,8,3, 9,6,9,3, 7,3,0,3, ++ 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3, 7,3,8,3, 7,3,9,3, ++ 7,9,2,3, 7,9,3,3, 9,3,6,3, 9,3,7,3, 9,7,8,3, 9,7,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3, ++ 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3, 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,8,4,3, 7,8,5,3, ++ 9,4,6,3, 9,4,7,3, 7,8,8,3, 7,8,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3, ++ 7,5,5,3, 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,9,4,3, 7,9,5,3, 9,5,6,3, 9,5,7,3, ++ 7,9,8,3, 7,9,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3, 7,6,5,3, 7,6,6,3, ++ 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,8,6,3, 7,8,7,3, 9,6,6,3, 9,6,7,3, 9,8,8,3, 9,8,9,3, ++ 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3, 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3, ++ 7,7,9,3, 7,9,6,3, 7,9,7,3, 9,7,6,3, 9,7,7,3, 9,9,8,3, 9,9,9,3}; ++#endif ++ ++#if defined(DEC_BIN2BCD8) && DEC_BIN2BCD8==1 && !defined(DECBIN2BCD8) ++#define DECBIN2BCD8 ++ ++const uint8_t BIN2BCD8[4000]={ ++ 0,0,0,0, 0,0,1,1, 0,0,2,1, 0,0,3,1, 0,0,4,1, 0,0,5,1, 0,0,6,1, 0,0,7,1, 0,0,8,1, ++ 0,0,9,1, 0,1,0,2, 0,1,1,2, 0,1,2,2, 0,1,3,2, 0,1,4,2, 0,1,5,2, 0,1,6,2, 0,1,7,2, ++ 0,1,8,2, 0,1,9,2, 0,2,0,2, 0,2,1,2, 0,2,2,2, 0,2,3,2, 0,2,4,2, 0,2,5,2, 0,2,6,2, ++ 0,2,7,2, 0,2,8,2, 0,2,9,2, 0,3,0,2, 0,3,1,2, 0,3,2,2, 0,3,3,2, 0,3,4,2, 0,3,5,2, ++ 0,3,6,2, 0,3,7,2, 0,3,8,2, 0,3,9,2, 0,4,0,2, 0,4,1,2, 0,4,2,2, 0,4,3,2, 0,4,4,2, ++ 0,4,5,2, 0,4,6,2, 0,4,7,2, 0,4,8,2, 0,4,9,2, 0,5,0,2, 0,5,1,2, 0,5,2,2, 0,5,3,2, ++ 0,5,4,2, 0,5,5,2, 0,5,6,2, 0,5,7,2, 0,5,8,2, 0,5,9,2, 0,6,0,2, 0,6,1,2, 0,6,2,2, ++ 0,6,3,2, 0,6,4,2, 0,6,5,2, 0,6,6,2, 0,6,7,2, 0,6,8,2, 0,6,9,2, 0,7,0,2, 0,7,1,2, ++ 0,7,2,2, 0,7,3,2, 0,7,4,2, 0,7,5,2, 0,7,6,2, 0,7,7,2, 0,7,8,2, 0,7,9,2, 0,8,0,2, ++ 0,8,1,2, 0,8,2,2, 0,8,3,2, 0,8,4,2, 0,8,5,2, 0,8,6,2, 0,8,7,2, 0,8,8,2, 0,8,9,2, ++ 0,9,0,2, 0,9,1,2, 0,9,2,2, 0,9,3,2, 0,9,4,2, 0,9,5,2, 0,9,6,2, 0,9,7,2, 0,9,8,2, ++ 0,9,9,2, 1,0,0,3, 1,0,1,3, 1,0,2,3, 1,0,3,3, 1,0,4,3, 1,0,5,3, 1,0,6,3, 1,0,7,3, ++ 1,0,8,3, 1,0,9,3, 1,1,0,3, 1,1,1,3, 1,1,2,3, 1,1,3,3, 1,1,4,3, 1,1,5,3, 1,1,6,3, ++ 1,1,7,3, 1,1,8,3, 1,1,9,3, 1,2,0,3, 1,2,1,3, 1,2,2,3, 1,2,3,3, 1,2,4,3, 1,2,5,3, ++ 1,2,6,3, 1,2,7,3, 1,2,8,3, 1,2,9,3, 1,3,0,3, 1,3,1,3, 1,3,2,3, 1,3,3,3, 1,3,4,3, ++ 1,3,5,3, 1,3,6,3, 1,3,7,3, 1,3,8,3, 1,3,9,3, 1,4,0,3, 1,4,1,3, 1,4,2,3, 1,4,3,3, ++ 1,4,4,3, 1,4,5,3, 1,4,6,3, 1,4,7,3, 1,4,8,3, 1,4,9,3, 1,5,0,3, 1,5,1,3, 1,5,2,3, ++ 1,5,3,3, 1,5,4,3, 1,5,5,3, 1,5,6,3, 1,5,7,3, 1,5,8,3, 1,5,9,3, 1,6,0,3, 1,6,1,3, ++ 1,6,2,3, 1,6,3,3, 1,6,4,3, 1,6,5,3, 1,6,6,3, 1,6,7,3, 1,6,8,3, 1,6,9,3, 1,7,0,3, ++ 1,7,1,3, 1,7,2,3, 1,7,3,3, 1,7,4,3, 1,7,5,3, 1,7,6,3, 1,7,7,3, 1,7,8,3, 1,7,9,3, ++ 1,8,0,3, 1,8,1,3, 1,8,2,3, 1,8,3,3, 1,8,4,3, 1,8,5,3, 1,8,6,3, 1,8,7,3, 1,8,8,3, ++ 1,8,9,3, 1,9,0,3, 1,9,1,3, 1,9,2,3, 1,9,3,3, 1,9,4,3, 1,9,5,3, 1,9,6,3, 1,9,7,3, ++ 1,9,8,3, 1,9,9,3, 2,0,0,3, 2,0,1,3, 2,0,2,3, 2,0,3,3, 2,0,4,3, 2,0,5,3, 2,0,6,3, ++ 2,0,7,3, 2,0,8,3, 2,0,9,3, 2,1,0,3, 2,1,1,3, 2,1,2,3, 2,1,3,3, 2,1,4,3, 2,1,5,3, ++ 2,1,6,3, 2,1,7,3, 2,1,8,3, 2,1,9,3, 2,2,0,3, 2,2,1,3, 2,2,2,3, 2,2,3,3, 2,2,4,3, ++ 2,2,5,3, 2,2,6,3, 2,2,7,3, 2,2,8,3, 2,2,9,3, 2,3,0,3, 2,3,1,3, 2,3,2,3, 2,3,3,3, ++ 2,3,4,3, 2,3,5,3, 2,3,6,3, 2,3,7,3, 2,3,8,3, 2,3,9,3, 2,4,0,3, 2,4,1,3, 2,4,2,3, ++ 2,4,3,3, 2,4,4,3, 2,4,5,3, 2,4,6,3, 2,4,7,3, 2,4,8,3, 2,4,9,3, 2,5,0,3, 2,5,1,3, ++ 2,5,2,3, 2,5,3,3, 2,5,4,3, 2,5,5,3, 2,5,6,3, 2,5,7,3, 2,5,8,3, 2,5,9,3, 2,6,0,3, ++ 2,6,1,3, 2,6,2,3, 2,6,3,3, 2,6,4,3, 2,6,5,3, 2,6,6,3, 2,6,7,3, 2,6,8,3, 2,6,9,3, ++ 2,7,0,3, 2,7,1,3, 2,7,2,3, 2,7,3,3, 2,7,4,3, 2,7,5,3, 2,7,6,3, 2,7,7,3, 2,7,8,3, ++ 2,7,9,3, 2,8,0,3, 2,8,1,3, 2,8,2,3, 2,8,3,3, 2,8,4,3, 2,8,5,3, 2,8,6,3, 2,8,7,3, ++ 2,8,8,3, 2,8,9,3, 2,9,0,3, 2,9,1,3, 2,9,2,3, 2,9,3,3, 2,9,4,3, 2,9,5,3, 2,9,6,3, ++ 2,9,7,3, 2,9,8,3, 2,9,9,3, 3,0,0,3, 3,0,1,3, 3,0,2,3, 3,0,3,3, 3,0,4,3, 3,0,5,3, ++ 3,0,6,3, 3,0,7,3, 3,0,8,3, 3,0,9,3, 3,1,0,3, 3,1,1,3, 3,1,2,3, 3,1,3,3, 3,1,4,3, ++ 3,1,5,3, 3,1,6,3, 3,1,7,3, 3,1,8,3, 3,1,9,3, 3,2,0,3, 3,2,1,3, 3,2,2,3, 3,2,3,3, ++ 3,2,4,3, 3,2,5,3, 3,2,6,3, 3,2,7,3, 3,2,8,3, 3,2,9,3, 3,3,0,3, 3,3,1,3, 3,3,2,3, ++ 3,3,3,3, 3,3,4,3, 3,3,5,3, 3,3,6,3, 3,3,7,3, 3,3,8,3, 3,3,9,3, 3,4,0,3, 3,4,1,3, ++ 3,4,2,3, 3,4,3,3, 3,4,4,3, 3,4,5,3, 3,4,6,3, 3,4,7,3, 3,4,8,3, 3,4,9,3, 3,5,0,3, ++ 3,5,1,3, 3,5,2,3, 3,5,3,3, 3,5,4,3, 3,5,5,3, 3,5,6,3, 3,5,7,3, 3,5,8,3, 3,5,9,3, ++ 3,6,0,3, 3,6,1,3, 3,6,2,3, 3,6,3,3, 3,6,4,3, 3,6,5,3, 3,6,6,3, 3,6,7,3, 3,6,8,3, ++ 3,6,9,3, 3,7,0,3, 3,7,1,3, 3,7,2,3, 3,7,3,3, 3,7,4,3, 3,7,5,3, 3,7,6,3, 3,7,7,3, ++ 3,7,8,3, 3,7,9,3, 3,8,0,3, 3,8,1,3, 3,8,2,3, 3,8,3,3, 3,8,4,3, 3,8,5,3, 3,8,6,3, ++ 3,8,7,3, 3,8,8,3, 3,8,9,3, 3,9,0,3, 3,9,1,3, 3,9,2,3, 3,9,3,3, 3,9,4,3, 3,9,5,3, ++ 3,9,6,3, 3,9,7,3, 3,9,8,3, 3,9,9,3, 4,0,0,3, 4,0,1,3, 4,0,2,3, 4,0,3,3, 4,0,4,3, ++ 4,0,5,3, 4,0,6,3, 4,0,7,3, 4,0,8,3, 4,0,9,3, 4,1,0,3, 4,1,1,3, 4,1,2,3, 4,1,3,3, ++ 4,1,4,3, 4,1,5,3, 4,1,6,3, 4,1,7,3, 4,1,8,3, 4,1,9,3, 4,2,0,3, 4,2,1,3, 4,2,2,3, ++ 4,2,3,3, 4,2,4,3, 4,2,5,3, 4,2,6,3, 4,2,7,3, 4,2,8,3, 4,2,9,3, 4,3,0,3, 4,3,1,3, ++ 4,3,2,3, 4,3,3,3, 4,3,4,3, 4,3,5,3, 4,3,6,3, 4,3,7,3, 4,3,8,3, 4,3,9,3, 4,4,0,3, ++ 4,4,1,3, 4,4,2,3, 4,4,3,3, 4,4,4,3, 4,4,5,3, 4,4,6,3, 4,4,7,3, 4,4,8,3, 4,4,9,3, ++ 4,5,0,3, 4,5,1,3, 4,5,2,3, 4,5,3,3, 4,5,4,3, 4,5,5,3, 4,5,6,3, 4,5,7,3, 4,5,8,3, ++ 4,5,9,3, 4,6,0,3, 4,6,1,3, 4,6,2,3, 4,6,3,3, 4,6,4,3, 4,6,5,3, 4,6,6,3, 4,6,7,3, ++ 4,6,8,3, 4,6,9,3, 4,7,0,3, 4,7,1,3, 4,7,2,3, 4,7,3,3, 4,7,4,3, 4,7,5,3, 4,7,6,3, ++ 4,7,7,3, 4,7,8,3, 4,7,9,3, 4,8,0,3, 4,8,1,3, 4,8,2,3, 4,8,3,3, 4,8,4,3, 4,8,5,3, ++ 4,8,6,3, 4,8,7,3, 4,8,8,3, 4,8,9,3, 4,9,0,3, 4,9,1,3, 4,9,2,3, 4,9,3,3, 4,9,4,3, ++ 4,9,5,3, 4,9,6,3, 4,9,7,3, 4,9,8,3, 4,9,9,3, 5,0,0,3, 5,0,1,3, 5,0,2,3, 5,0,3,3, ++ 5,0,4,3, 5,0,5,3, 5,0,6,3, 5,0,7,3, 5,0,8,3, 5,0,9,3, 5,1,0,3, 5,1,1,3, 5,1,2,3, ++ 5,1,3,3, 5,1,4,3, 5,1,5,3, 5,1,6,3, 5,1,7,3, 5,1,8,3, 5,1,9,3, 5,2,0,3, 5,2,1,3, ++ 5,2,2,3, 5,2,3,3, 5,2,4,3, 5,2,5,3, 5,2,6,3, 5,2,7,3, 5,2,8,3, 5,2,9,3, 5,3,0,3, ++ 5,3,1,3, 5,3,2,3, 5,3,3,3, 5,3,4,3, 5,3,5,3, 5,3,6,3, 5,3,7,3, 5,3,8,3, 5,3,9,3, ++ 5,4,0,3, 5,4,1,3, 5,4,2,3, 5,4,3,3, 5,4,4,3, 5,4,5,3, 5,4,6,3, 5,4,7,3, 5,4,8,3, ++ 5,4,9,3, 5,5,0,3, 5,5,1,3, 5,5,2,3, 5,5,3,3, 5,5,4,3, 5,5,5,3, 5,5,6,3, 5,5,7,3, ++ 5,5,8,3, 5,5,9,3, 5,6,0,3, 5,6,1,3, 5,6,2,3, 5,6,3,3, 5,6,4,3, 5,6,5,3, 5,6,6,3, ++ 5,6,7,3, 5,6,8,3, 5,6,9,3, 5,7,0,3, 5,7,1,3, 5,7,2,3, 5,7,3,3, 5,7,4,3, 5,7,5,3, ++ 5,7,6,3, 5,7,7,3, 5,7,8,3, 5,7,9,3, 5,8,0,3, 5,8,1,3, 5,8,2,3, 5,8,3,3, 5,8,4,3, ++ 5,8,5,3, 5,8,6,3, 5,8,7,3, 5,8,8,3, 5,8,9,3, 5,9,0,3, 5,9,1,3, 5,9,2,3, 5,9,3,3, ++ 5,9,4,3, 5,9,5,3, 5,9,6,3, 5,9,7,3, 5,9,8,3, 5,9,9,3, 6,0,0,3, 6,0,1,3, 6,0,2,3, ++ 6,0,3,3, 6,0,4,3, 6,0,5,3, 6,0,6,3, 6,0,7,3, 6,0,8,3, 6,0,9,3, 6,1,0,3, 6,1,1,3, ++ 6,1,2,3, 6,1,3,3, 6,1,4,3, 6,1,5,3, 6,1,6,3, 6,1,7,3, 6,1,8,3, 6,1,9,3, 6,2,0,3, ++ 6,2,1,3, 6,2,2,3, 6,2,3,3, 6,2,4,3, 6,2,5,3, 6,2,6,3, 6,2,7,3, 6,2,8,3, 6,2,9,3, ++ 6,3,0,3, 6,3,1,3, 6,3,2,3, 6,3,3,3, 6,3,4,3, 6,3,5,3, 6,3,6,3, 6,3,7,3, 6,3,8,3, ++ 6,3,9,3, 6,4,0,3, 6,4,1,3, 6,4,2,3, 6,4,3,3, 6,4,4,3, 6,4,5,3, 6,4,6,3, 6,4,7,3, ++ 6,4,8,3, 6,4,9,3, 6,5,0,3, 6,5,1,3, 6,5,2,3, 6,5,3,3, 6,5,4,3, 6,5,5,3, 6,5,6,3, ++ 6,5,7,3, 6,5,8,3, 6,5,9,3, 6,6,0,3, 6,6,1,3, 6,6,2,3, 6,6,3,3, 6,6,4,3, 6,6,5,3, ++ 6,6,6,3, 6,6,7,3, 6,6,8,3, 6,6,9,3, 6,7,0,3, 6,7,1,3, 6,7,2,3, 6,7,3,3, 6,7,4,3, ++ 6,7,5,3, 6,7,6,3, 6,7,7,3, 6,7,8,3, 6,7,9,3, 6,8,0,3, 6,8,1,3, 6,8,2,3, 6,8,3,3, ++ 6,8,4,3, 6,8,5,3, 6,8,6,3, 6,8,7,3, 6,8,8,3, 6,8,9,3, 6,9,0,3, 6,9,1,3, 6,9,2,3, ++ 6,9,3,3, 6,9,4,3, 6,9,5,3, 6,9,6,3, 6,9,7,3, 6,9,8,3, 6,9,9,3, 7,0,0,3, 7,0,1,3, ++ 7,0,2,3, 7,0,3,3, 7,0,4,3, 7,0,5,3, 7,0,6,3, 7,0,7,3, 7,0,8,3, 7,0,9,3, 7,1,0,3, ++ 7,1,1,3, 7,1,2,3, 7,1,3,3, 7,1,4,3, 7,1,5,3, 7,1,6,3, 7,1,7,3, 7,1,8,3, 7,1,9,3, ++ 7,2,0,3, 7,2,1,3, 7,2,2,3, 7,2,3,3, 7,2,4,3, 7,2,5,3, 7,2,6,3, 7,2,7,3, 7,2,8,3, ++ 7,2,9,3, 7,3,0,3, 7,3,1,3, 7,3,2,3, 7,3,3,3, 7,3,4,3, 7,3,5,3, 7,3,6,3, 7,3,7,3, ++ 7,3,8,3, 7,3,9,3, 7,4,0,3, 7,4,1,3, 7,4,2,3, 7,4,3,3, 7,4,4,3, 7,4,5,3, 7,4,6,3, ++ 7,4,7,3, 7,4,8,3, 7,4,9,3, 7,5,0,3, 7,5,1,3, 7,5,2,3, 7,5,3,3, 7,5,4,3, 7,5,5,3, ++ 7,5,6,3, 7,5,7,3, 7,5,8,3, 7,5,9,3, 7,6,0,3, 7,6,1,3, 7,6,2,3, 7,6,3,3, 7,6,4,3, ++ 7,6,5,3, 7,6,6,3, 7,6,7,3, 7,6,8,3, 7,6,9,3, 7,7,0,3, 7,7,1,3, 7,7,2,3, 7,7,3,3, ++ 7,7,4,3, 7,7,5,3, 7,7,6,3, 7,7,7,3, 7,7,8,3, 7,7,9,3, 7,8,0,3, 7,8,1,3, 7,8,2,3, ++ 7,8,3,3, 7,8,4,3, 7,8,5,3, 7,8,6,3, 7,8,7,3, 7,8,8,3, 7,8,9,3, 7,9,0,3, 7,9,1,3, ++ 7,9,2,3, 7,9,3,3, 7,9,4,3, 7,9,5,3, 7,9,6,3, 7,9,7,3, 7,9,8,3, 7,9,9,3, 8,0,0,3, ++ 8,0,1,3, 8,0,2,3, 8,0,3,3, 8,0,4,3, 8,0,5,3, 8,0,6,3, 8,0,7,3, 8,0,8,3, 8,0,9,3, ++ 8,1,0,3, 8,1,1,3, 8,1,2,3, 8,1,3,3, 8,1,4,3, 8,1,5,3, 8,1,6,3, 8,1,7,3, 8,1,8,3, ++ 8,1,9,3, 8,2,0,3, 8,2,1,3, 8,2,2,3, 8,2,3,3, 8,2,4,3, 8,2,5,3, 8,2,6,3, 8,2,7,3, ++ 8,2,8,3, 8,2,9,3, 8,3,0,3, 8,3,1,3, 8,3,2,3, 8,3,3,3, 8,3,4,3, 8,3,5,3, 8,3,6,3, ++ 8,3,7,3, 8,3,8,3, 8,3,9,3, 8,4,0,3, 8,4,1,3, 8,4,2,3, 8,4,3,3, 8,4,4,3, 8,4,5,3, ++ 8,4,6,3, 8,4,7,3, 8,4,8,3, 8,4,9,3, 8,5,0,3, 8,5,1,3, 8,5,2,3, 8,5,3,3, 8,5,4,3, ++ 8,5,5,3, 8,5,6,3, 8,5,7,3, 8,5,8,3, 8,5,9,3, 8,6,0,3, 8,6,1,3, 8,6,2,3, 8,6,3,3, ++ 8,6,4,3, 8,6,5,3, 8,6,6,3, 8,6,7,3, 8,6,8,3, 8,6,9,3, 8,7,0,3, 8,7,1,3, 8,7,2,3, ++ 8,7,3,3, 8,7,4,3, 8,7,5,3, 8,7,6,3, 8,7,7,3, 8,7,8,3, 8,7,9,3, 8,8,0,3, 8,8,1,3, ++ 8,8,2,3, 8,8,3,3, 8,8,4,3, 8,8,5,3, 8,8,6,3, 8,8,7,3, 8,8,8,3, 8,8,9,3, 8,9,0,3, ++ 8,9,1,3, 8,9,2,3, 8,9,3,3, 8,9,4,3, 8,9,5,3, 8,9,6,3, 8,9,7,3, 8,9,8,3, 8,9,9,3, ++ 9,0,0,3, 9,0,1,3, 9,0,2,3, 9,0,3,3, 9,0,4,3, 9,0,5,3, 9,0,6,3, 9,0,7,3, 9,0,8,3, ++ 9,0,9,3, 9,1,0,3, 9,1,1,3, 9,1,2,3, 9,1,3,3, 9,1,4,3, 9,1,5,3, 9,1,6,3, 9,1,7,3, ++ 9,1,8,3, 9,1,9,3, 9,2,0,3, 9,2,1,3, 9,2,2,3, 9,2,3,3, 9,2,4,3, 9,2,5,3, 9,2,6,3, ++ 9,2,7,3, 9,2,8,3, 9,2,9,3, 9,3,0,3, 9,3,1,3, 9,3,2,3, 9,3,3,3, 9,3,4,3, 9,3,5,3, ++ 9,3,6,3, 9,3,7,3, 9,3,8,3, 9,3,9,3, 9,4,0,3, 9,4,1,3, 9,4,2,3, 9,4,3,3, 9,4,4,3, ++ 9,4,5,3, 9,4,6,3, 9,4,7,3, 9,4,8,3, 9,4,9,3, 9,5,0,3, 9,5,1,3, 9,5,2,3, 9,5,3,3, ++ 9,5,4,3, 9,5,5,3, 9,5,6,3, 9,5,7,3, 9,5,8,3, 9,5,9,3, 9,6,0,3, 9,6,1,3, 9,6,2,3, ++ 9,6,3,3, 9,6,4,3, 9,6,5,3, 9,6,6,3, 9,6,7,3, 9,6,8,3, 9,6,9,3, 9,7,0,3, 9,7,1,3, ++ 9,7,2,3, 9,7,3,3, 9,7,4,3, 9,7,5,3, 9,7,6,3, 9,7,7,3, 9,7,8,3, 9,7,9,3, 9,8,0,3, ++ 9,8,1,3, 9,8,2,3, 9,8,3,3, 9,8,4,3, 9,8,5,3, 9,8,6,3, 9,8,7,3, 9,8,8,3, 9,8,9,3, ++ 9,9,0,3, 9,9,1,3, 9,9,2,3, 9,9,3,3, 9,9,4,3, 9,9,5,3, 9,9,6,3, 9,9,7,3, 9,9,8,3, ++ 9,9,9,3}; ++#endif ++ +diff -Naur a/src/decNumber/decimal128.c b/src/decNumber/decimal128.c +--- a/src/decNumber/decimal128.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal128.c 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,553 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 128-bit format module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for decimal128 format numbers. */ ++/* Conversions are supplied to and from decNumber and String. */ ++/* */ ++/* This is used when decNumber provides operations, either for all */ ++/* operations or as a proxy between decNumber and decSingle. */ ++/* */ ++/* Error handling is the same as decNumber (qv.). */ ++/* ------------------------------------------------------------------ */ ++#include // [for memset/memcpy] ++#include // [for printf] ++ ++#define DECNUMDIGITS 34 // make decNumbers with space for 34 ++#include "decNumber.h" // base number library ++#include "decNumberLocal.h" // decNumber local types, etc. ++#include "decimal128.h" // our primary include ++ ++/* Utility routines and tables [in decimal64.c] */ ++// DPD2BIN and the reverse are renamed to prevent link-time conflict ++// if decQuad is also built in the same executable ++#define DPD2BIN DPD2BINx ++#define BIN2DPD BIN2DPDx ++extern const uInt COMBEXP[32], COMBMSD[32]; ++extern const uShort DPD2BIN[1024]; ++extern const uShort BIN2DPD[1000]; // [not used] ++extern const uByte BIN2CHAR[4001]; ++ ++extern void decDigitsFromDPD(decNumber *, const uInt *, Int); ++extern void decDigitsToDPD(const decNumber *, uInt *, Int); ++ ++#if DECTRACE || DECCHECK ++void decimal128Show(const decimal128 *); // for debug ++extern void decNumberShow(const decNumber *); // .. ++#endif ++ ++/* Useful macro */ ++// Clear a structure (e.g., a decNumber) ++#define DEC_clear(d) memset(d, 0, sizeof(*d)) ++ ++/* ------------------------------------------------------------------ */ ++/* decimal128FromNumber -- convert decNumber to decimal128 */ ++/* */ ++/* ds is the target decimal128 */ ++/* dn is the source number (assumed valid) */ ++/* set is the context, used only for reporting errors */ ++/* */ ++/* The set argument is used only for status reporting and for the */ ++/* rounding mode (used if the coefficient is more than DECIMAL128_Pmax*/ ++/* digits or an overflow is detected). If the exponent is out of the */ ++/* valid range then Overflow or Underflow will be raised. */ ++/* After Underflow a subnormal result is possible. */ ++/* */ ++/* DEC_Clamped is set if the number has to be 'folded down' to fit, */ ++/* by reducing its exponent and multiplying the coefficient by a */ ++/* power of ten, or if the exponent on a zero had to be clamped. */ ++/* ------------------------------------------------------------------ */ ++decimal128 * decimal128FromNumber(decimal128 *d128, const decNumber *dn, ++ decContext *set) { ++ uInt status=0; // status accumulator ++ Int ae; // adjusted exponent ++ decNumber dw; // work ++ decContext dc; // .. ++ uInt comb, exp; // .. ++ uInt uiwork; // for macros ++ uInt targar[4]={0,0,0,0}; // target 128-bit ++ #define targhi targar[3] // name the word with the sign ++ #define targmh targar[2] // name the words ++ #define targml targar[1] // .. ++ #define targlo targar[0] // .. ++ ++ // If the number has too many digits, or the exponent could be ++ // out of range then reduce the number under the appropriate ++ // constraints. This could push the number to Infinity or zero, ++ // so this check and rounding must be done before generating the ++ // decimal128] ++ ae=dn->exponent+dn->digits-1; // [0 if special] ++ if (dn->digits>DECIMAL128_Pmax // too many digits ++ || ae>DECIMAL128_Emax // likely overflow ++ || aeround; // use supplied rounding ++ decNumberPlus(&dw, dn, &dc); // (round and check) ++ // [this changes -0 to 0, so enforce the sign...] ++ dw.bits|=dn->bits&DECNEG; ++ status=dc.status; // save status ++ dn=&dw; // use the work number ++ } // maybe out of range ++ ++ if (dn->bits&DECSPECIAL) { // a special value ++ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24; ++ else { // sNaN or qNaN ++ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient ++ && (dn->digitsbits&DECNAN) targhi|=DECIMAL_NaN<<24; ++ else targhi|=DECIMAL_sNaN<<24; ++ } // a NaN ++ } // special ++ ++ else { // is finite ++ if (decNumberIsZero(dn)) { // is a zero ++ // set and clamp exponent ++ if (dn->exponent<-DECIMAL128_Bias) { ++ exp=0; // low clamp ++ status|=DEC_Clamped; ++ } ++ else { ++ exp=dn->exponent+DECIMAL128_Bias; // bias exponent ++ if (exp>DECIMAL128_Ehigh) { // top clamp ++ exp=DECIMAL128_Ehigh; ++ status|=DEC_Clamped; ++ } ++ } ++ comb=(exp>>9) & 0x18; // msd=0, exp top 2 bits .. ++ } ++ else { // non-zero finite number ++ uInt msd; // work ++ Int pad=0; // coefficient pad digits ++ ++ // the dn is known to fit, but it may need to be padded ++ exp=(uInt)(dn->exponent+DECIMAL128_Bias); // bias exponent ++ if (exp>DECIMAL128_Ehigh) { // fold-down case ++ pad=exp-DECIMAL128_Ehigh; ++ exp=DECIMAL128_Ehigh; // [to maximum] ++ status|=DEC_Clamped; ++ } ++ ++ // [fastpath for common case is not a win, here] ++ decDigitsToDPD(dn, targar, pad); ++ // save and clear the top digit ++ msd=targhi>>14; ++ targhi&=0x00003fff; ++ ++ // create the combination field ++ if (msd>=8) comb=0x18 | ((exp>>11) & 0x06) | (msd & 0x01); ++ else comb=((exp>>9) & 0x18) | msd; ++ } ++ targhi|=comb<<26; // add combination field .. ++ targhi|=(exp&0xfff)<<14; // .. and exponent continuation ++ } // finite ++ ++ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit ++ ++ // now write to storage; this is endian ++ if (DECLITEND) { ++ // lo -> hi ++ UBFROMUI(d128->bytes, targlo); ++ UBFROMUI(d128->bytes+4, targml); ++ UBFROMUI(d128->bytes+8, targmh); ++ UBFROMUI(d128->bytes+12, targhi); ++ } ++ else { ++ // hi -> lo ++ UBFROMUI(d128->bytes, targhi); ++ UBFROMUI(d128->bytes+4, targmh); ++ UBFROMUI(d128->bytes+8, targml); ++ UBFROMUI(d128->bytes+12, targlo); ++ } ++ ++ if (status!=0) decContextSetStatus(set, status); // pass on status ++ // decimal128Show(d128); ++ return d128; ++ } // decimal128FromNumber ++ ++/* ------------------------------------------------------------------ */ ++/* decimal128ToNumber -- convert decimal128 to decNumber */ ++/* d128 is the source decimal128 */ ++/* dn is the target number, with appropriate space */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decimal128ToNumber(const decimal128 *d128, decNumber *dn) { ++ uInt msd; // coefficient MSD ++ uInt exp; // exponent top two bits ++ uInt comb; // combination field ++ Int need; // work ++ uInt uiwork; // for macros ++ uInt sourar[4]; // source 128-bit ++ #define sourhi sourar[3] // name the word with the sign ++ #define sourmh sourar[2] // and the mid-high word ++ #define sourml sourar[1] // and the mod-low word ++ #define sourlo sourar[0] // and the lowest word ++ ++ // load source from storage; this is endian ++ if (DECLITEND) { ++ sourlo=UBTOUI(d128->bytes ); // directly load the low int ++ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low ++ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high ++ sourhi=UBTOUI(d128->bytes+12); // then the high int ++ } ++ else { ++ sourhi=UBTOUI(d128->bytes ); // directly load the high int ++ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high ++ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low ++ sourlo=UBTOUI(d128->bytes+12); // then the low int ++ } ++ ++ comb=(sourhi>>26)&0x1f; // combination field ++ ++ decNumberZero(dn); // clean number ++ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative ++ ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { // is a special ++ if (msd==0) { ++ dn->bits|=DECINF; ++ return dn; // no coefficient needed ++ } ++ else if (sourhi&0x02000000) dn->bits|=DECSNAN; ++ else dn->bits|=DECNAN; ++ msd=0; // no top digit ++ } ++ else { // is a finite number ++ dn->exponent=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased ++ } ++ ++ // get the coefficient ++ sourhi&=0x00003fff; // clean coefficient continuation ++ if (msd) { // non-zero msd ++ sourhi|=msd<<14; // prefix to coefficient ++ need=12; // process 12 declets ++ } ++ else { // msd=0 ++ if (sourhi) need=11; // declets to process ++ else if (sourmh) need=10; ++ else if (sourml) need=7; ++ else if (sourlo) need=4; ++ else return dn; // easy: coefficient is 0 ++ } //msd=0 ++ ++ decDigitsFromDPD(dn, sourar, need); // process declets ++ // decNumberShow(dn); ++ return dn; ++ } // decimal128ToNumber ++ ++/* ------------------------------------------------------------------ */ ++/* to-scientific-string -- conversion to numeric string */ ++/* to-engineering-string -- conversion to numeric string */ ++/* */ ++/* decimal128ToString(d128, string); */ ++/* decimal128ToEngString(d128, string); */ ++/* */ ++/* d128 is the decimal128 format number to convert */ ++/* string is the string where the result will be laid out */ ++/* */ ++/* string must be at least 24 characters */ ++/* */ ++/* No error is possible, and no status can be set. */ ++/* ------------------------------------------------------------------ */ ++char * decimal128ToEngString(const decimal128 *d128, char *string){ ++ decNumber dn; // work ++ decimal128ToNumber(d128, &dn); ++ decNumberToEngString(&dn, string); ++ return string; ++ } // decimal128ToEngString ++ ++char * decimal128ToString(const decimal128 *d128, char *string){ ++ uInt msd; // coefficient MSD ++ Int exp; // exponent top two bits or full ++ uInt comb; // combination field ++ char *cstart; // coefficient start ++ char *c; // output pointer in string ++ const uByte *u; // work ++ char *s, *t; // .. (source, target) ++ Int dpd; // .. ++ Int pre, e; // .. ++ uInt uiwork; // for macros ++ ++ uInt sourar[4]; // source 128-bit ++ #define sourhi sourar[3] // name the word with the sign ++ #define sourmh sourar[2] // and the mid-high word ++ #define sourml sourar[1] // and the mod-low word ++ #define sourlo sourar[0] // and the lowest word ++ ++ // load source from storage; this is endian ++ if (DECLITEND) { ++ sourlo=UBTOUI(d128->bytes ); // directly load the low int ++ sourml=UBTOUI(d128->bytes+4 ); // then the mid-low ++ sourmh=UBTOUI(d128->bytes+8 ); // then the mid-high ++ sourhi=UBTOUI(d128->bytes+12); // then the high int ++ } ++ else { ++ sourhi=UBTOUI(d128->bytes ); // directly load the high int ++ sourmh=UBTOUI(d128->bytes+4 ); // then the mid-high ++ sourml=UBTOUI(d128->bytes+8 ); // then the mid-low ++ sourlo=UBTOUI(d128->bytes+12); // then the low int ++ } ++ ++ c=string; // where result will go ++ if (((Int)sourhi)<0) *c++='-'; // handle sign ++ ++ comb=(sourhi>>26)&0x1f; // combination field ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { ++ if (msd==0) { // infinity ++ strcpy(c, "Inf"); ++ strcpy(c+3, "inity"); ++ return string; // easy ++ } ++ if (sourhi&0x02000000) *c++='s'; // sNaN ++ strcpy(c, "NaN"); // complete word ++ c+=3; // step past ++ if (sourlo==0 && sourml==0 && sourmh==0 ++ && (sourhi&0x0003ffff)==0) return string; // zero payload ++ // otherwise drop through to add integer; set correct exp ++ exp=0; msd=0; // setup for following code ++ } ++ else exp=(exp<<12)+((sourhi>>14)&0xfff)-DECIMAL128_Bias; // unbiased ++ ++ // convert 34 digits of significand to characters ++ cstart=c; // save start of coefficient ++ if (msd) *c++='0'+(char)msd; // non-zero most significant digit ++ ++ // Now decode the declets. After extracting each one, it is ++ // decoded to binary and then to a 4-char sequence by table lookup; ++ // the 4-chars are a 1-char length (significant digits, except 000 ++ // has length 0). This allows us to left-align the first declet ++ // with non-zero content, then remaining ones are full 3-char ++ // length. We use fixed-length memcpys because variable-length ++ // causes a subroutine call in GCC. (These are length 4 for speed ++ // and are safe because the array has an extra terminator byte.) ++ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \ ++ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \ ++ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;} ++ dpd=(sourhi>>4)&0x3ff; // declet 1 ++ dpd2char; ++ dpd=((sourhi&0xf)<<6) | (sourmh>>26); // declet 2 ++ dpd2char; ++ dpd=(sourmh>>16)&0x3ff; // declet 3 ++ dpd2char; ++ dpd=(sourmh>>6)&0x3ff; // declet 4 ++ dpd2char; ++ dpd=((sourmh&0x3f)<<4) | (sourml>>28); // declet 5 ++ dpd2char; ++ dpd=(sourml>>18)&0x3ff; // declet 6 ++ dpd2char; ++ dpd=(sourml>>8)&0x3ff; // declet 7 ++ dpd2char; ++ dpd=((sourml&0xff)<<2) | (sourlo>>30); // declet 8 ++ dpd2char; ++ dpd=(sourlo>>20)&0x3ff; // declet 9 ++ dpd2char; ++ dpd=(sourlo>>10)&0x3ff; // declet 10 ++ dpd2char; ++ dpd=(sourlo)&0x3ff; // declet 11 ++ dpd2char; ++ ++ if (c==cstart) *c++='0'; // all zeros -- make 0 ++ ++ if (exp==0) { // integer or NaN case -- easy ++ *c='\0'; // terminate ++ return string; ++ } ++ ++ /* non-0 exponent */ ++ e=0; // assume no E ++ pre=c-cstart+exp; ++ // [here, pre-exp is the digits count (==1 for zero)] ++ if (exp>0 || pre<-5) { // need exponential form ++ e=pre-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ } // exponential form ++ ++ /* modify the coefficient, adding 0s, '.', and E+nn as needed */ ++ s=c-1; // source (LSD) ++ if (pre>0) { // ddd.ddd (plain), perhaps with E ++ char *dotat=cstart+pre; ++ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap ++ *t='.'; // insert the dot ++ c++; // length increased by one ++ } ++ ++ // finally add the E-part, if needed; it will never be 0, and has ++ // a maximum length of 4 digits ++ if (e!=0) { ++ *c++='E'; // starts with E ++ *c++='+'; // assume positive ++ if (e<0) { ++ *(c-1)='-'; // oops, need '-' ++ e=-e; // uInt, please ++ } ++ if (e<1000) { // 3 (or fewer) digits case ++ u=&BIN2CHAR[e*4]; // -> length byte ++ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe] ++ c+=*u; // bump pointer appropriately ++ } ++ else { // 4-digits ++ Int thou=((e>>3)*1049)>>17; // e/1000 ++ Int rem=e-(1000*thou); // e%1000 ++ *c++='0'+(char)thou; ++ u=&BIN2CHAR[rem*4]; // -> length byte ++ memcpy(c, u+1, 4); // copy fixed 3+1 characters [is safe] ++ c+=3; // bump pointer, always 3 digits ++ } ++ } ++ *c='\0'; // add terminator ++ //printf("res %s\n", string); ++ return string; ++ } // pre>0 ++ ++ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ ++ t=c+1-pre; ++ *(t+1)='\0'; // can add terminator now ++ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right ++ c=cstart; ++ *c++='0'; // always starts with 0. ++ *c++='.'; ++ for (; pre<0; pre++) *c++='0'; // add any 0's after '.' ++ //printf("res %s\n", string); ++ return string; ++ } // decimal128ToString ++ ++/* ------------------------------------------------------------------ */ ++/* to-number -- conversion from numeric string */ ++/* */ ++/* decimal128FromString(result, string, set); */ ++/* */ ++/* result is the decimal128 format number which gets the result of */ ++/* the conversion */ ++/* *string is the character string which should contain a valid */ ++/* number (which may be a special value) */ ++/* set is the context */ ++/* */ ++/* The context is supplied to this routine is used for error handling */ ++/* (setting of status and traps) and for the rounding mode, only. */ ++/* If an error occurs, the result will be a valid decimal128 NaN. */ ++/* ------------------------------------------------------------------ */ ++decimal128 * decimal128FromString(decimal128 *result, const char *string, ++ decContext *set) { ++ decContext dc; // work ++ decNumber dn; // .. ++ ++ decContextDefault(&dc, DEC_INIT_DECIMAL128); // no traps, please ++ dc.round=set->round; // use supplied rounding ++ ++ decNumberFromString(&dn, string, &dc); // will round if needed ++ decimal128FromNumber(result, &dn, &dc); ++ if (dc.status!=0) { // something happened ++ decContextSetStatus(set, dc.status); // .. pass it on ++ } ++ return result; ++ } // decimal128FromString ++ ++/* ------------------------------------------------------------------ */ ++/* decimal128IsCanonical -- test whether encoding is canonical */ ++/* d128 is the source decimal128 */ ++/* returns 1 if the encoding of d128 is canonical, 0 otherwise */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decimal128IsCanonical(const decimal128 *d128) { ++ decNumber dn; // work ++ decimal128 canon; // .. ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL128); ++ decimal128ToNumber(d128, &dn); ++ decimal128FromNumber(&canon, &dn, &dc);// canon will now be canonical ++ return memcmp(d128, &canon, DECIMAL128_Bytes)==0; ++ } // decimal128IsCanonical ++ ++/* ------------------------------------------------------------------ */ ++/* decimal128Canonical -- copy an encoding, ensuring it is canonical */ ++/* d128 is the source decimal128 */ ++/* result is the target (may be the same decimal128) */ ++/* returns result */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decimal128 * decimal128Canonical(decimal128 *result, const decimal128 *d128) { ++ decNumber dn; // work ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL128); ++ decimal128ToNumber(d128, &dn); ++ decimal128FromNumber(result, &dn, &dc);// result will now be canonical ++ return result; ++ } // decimal128Canonical ++ ++#if DECTRACE || DECCHECK ++/* Macros for accessing decimal128 fields. These assume the argument ++ is a reference (pointer) to the decimal128 structure, and the ++ decimal128 is in network byte order (big-endian) */ ++// Get sign ++#define decimal128Sign(d) ((unsigned)(d)->bytes[0]>>7) ++ ++// Get combination field ++#define decimal128Comb(d) (((d)->bytes[0] & 0x7c)>>2) ++ ++// Get exponent continuation [does not remove bias] ++#define decimal128ExpCon(d) ((((d)->bytes[0] & 0x03)<<10) \ ++ | ((unsigned)(d)->bytes[1]<<2) \ ++ | ((unsigned)(d)->bytes[2]>>6)) ++ ++// Set sign [this assumes sign previously 0] ++#define decimal128SetSign(d, b) { \ ++ (d)->bytes[0]|=((unsigned)(b)<<7);} ++ ++// Set exponent continuation [does not apply bias] ++// This assumes range has been checked and exponent previously 0; ++// type of exponent must be unsigned ++#define decimal128SetExpCon(d, e) { \ ++ (d)->bytes[0]|=(uByte)((e)>>10); \ ++ (d)->bytes[1] =(uByte)(((e)&0x3fc)>>2); \ ++ (d)->bytes[2]|=(uByte)(((e)&0x03)<<6);} ++ ++/* ------------------------------------------------------------------ */ ++/* decimal128Show -- display a decimal128 in hexadecimal [debug aid] */ ++/* d128 -- the number to show */ ++/* ------------------------------------------------------------------ */ ++// Also shows sign/cob/expconfields extracted ++void decimal128Show(const decimal128 *d128) { ++ char buf[DECIMAL128_Bytes*2+1]; ++ Int i, j=0; ++ ++ if (DECLITEND) { ++ for (i=0; ibytes[15-i]); ++ } ++ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf, ++ d128->bytes[15]>>7, (d128->bytes[15]>>2)&0x1f, ++ ((d128->bytes[15]&0x3)<<10)|(d128->bytes[14]<<2)| ++ (d128->bytes[13]>>6)); ++ } ++ else { ++ for (i=0; ibytes[i]); ++ } ++ printf(" D128> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf, ++ decimal128Sign(d128), decimal128Comb(d128), ++ decimal128ExpCon(d128)); ++ } ++ } // decimal128Show ++#endif +diff -Naur a/src/decNumber/decimal128.h b/src/decNumber/decimal128.h +--- a/src/decNumber/decimal128.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal128.h 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,81 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 128-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECIMAL128) ++ #define DECIMAL128 ++ #define DEC128NAME "decimal128" /* Short name */ ++ #define DEC128FULLNAME "Decimal 128-bit Number" /* Verbose name */ ++ #define DEC128AUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ /* parameters for decimal128s */ ++ #define DECIMAL128_Bytes 16 /* length */ ++ #define DECIMAL128_Pmax 34 /* maximum precision (digits) */ ++ #define DECIMAL128_Emax 6144 /* maximum adjusted exponent */ ++ #define DECIMAL128_Emin -6143 /* minimum adjusted exponent */ ++ #define DECIMAL128_Bias 6176 /* bias for the exponent */ ++ #define DECIMAL128_String 43 /* maximum string length, +1 */ ++ #define DECIMAL128_EconL 12 /* exp. continuation length */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECIMAL128_Ehigh (DECIMAL128_Emax+DECIMAL128_Bias-DECIMAL128_Pmax+1) ++ ++ /* check enough digits, if pre-defined */ ++ #if defined(DECNUMDIGITS) ++ #if (DECNUMDIGITS=34 for safe use ++ #endif ++ #endif ++ ++ #ifndef DECNUMDIGITS ++ #define DECNUMDIGITS DECIMAL128_Pmax /* size if not already defined*/ ++ #endif ++ #ifndef DECNUMBER ++ #include "decNumber.h" /* context and number library */ ++ #endif ++ ++ /* Decimal 128-bit type, accessible by bytes */ ++ typedef struct { ++ uint8_t bytes[DECIMAL128_Bytes]; /* decimal128: 1, 5, 12, 110 bits*/ ++ } decimal128; ++ ++ /* special values [top byte excluding sign bit; last two bits are */ ++ /* don't-care for Infinity on input, last bit don't-care for NaN] */ ++ #if !defined(DECIMAL_NaN) ++ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */ ++ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */ ++ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */ ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines */ ++ /* ---------------------------------------------------------------- */ ++ /* String conversions */ ++ decimal128 * decimal128FromString(decimal128 *, const char *, decContext *); ++ char * decimal128ToString(const decimal128 *, char *); ++ char * decimal128ToEngString(const decimal128 *, char *); ++ ++ /* decNumber conversions */ ++ decimal128 * decimal128FromNumber(decimal128 *, const decNumber *, ++ decContext *); ++ decNumber * decimal128ToNumber(const decimal128 *, decNumber *); ++ ++ /* Format-dependent utilities */ ++ uint32_t decimal128IsCanonical(const decimal128 *); ++ decimal128 * decimal128Canonical(decimal128 *, const decimal128 *); ++ ++#endif +diff -Naur a/src/decNumber/decimal32.c b/src/decNumber/decimal32.c +--- a/src/decNumber/decimal32.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal32.c 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,476 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 32-bit format module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for decimal32 format numbers. */ ++/* Conversions are supplied to and from decNumber and String. */ ++/* */ ++/* This is used when decNumber provides operations, either for all */ ++/* operations or as a proxy between decNumber and decSingle. */ ++/* */ ++/* Error handling is the same as decNumber (qv.). */ ++/* ------------------------------------------------------------------ */ ++#include // [for memset/memcpy] ++#include // [for printf] ++ ++#define DECNUMDIGITS 7 // make decNumbers with space for 7 ++#include "decNumber.h" // base number library ++#include "decNumberLocal.h" // decNumber local types, etc. ++#include "decimal32.h" // our primary include ++ ++/* Utility tables and routines [in decimal64.c] */ ++// DPD2BIN and the reverse are renamed to prevent link-time conflict ++// if decQuad is also built in the same executable ++#define DPD2BIN DPD2BINx ++#define BIN2DPD BIN2DPDx ++extern const uInt COMBEXP[32], COMBMSD[32]; ++extern const uShort DPD2BIN[1024]; ++extern const uShort BIN2DPD[1000]; ++extern const uByte BIN2CHAR[4001]; ++ ++extern void decDigitsToDPD(const decNumber *, uInt *, Int); ++extern void decDigitsFromDPD(decNumber *, const uInt *, Int); ++ ++#if DECTRACE || DECCHECK ++void decimal32Show(const decimal32 *); // for debug ++extern void decNumberShow(const decNumber *); // .. ++#endif ++ ++/* Useful macro */ ++// Clear a structure (e.g., a decNumber) ++#define DEC_clear(d) memset(d, 0, sizeof(*d)) ++ ++/* ------------------------------------------------------------------ */ ++/* decimal32FromNumber -- convert decNumber to decimal32 */ ++/* */ ++/* ds is the target decimal32 */ ++/* dn is the source number (assumed valid) */ ++/* set is the context, used only for reporting errors */ ++/* */ ++/* The set argument is used only for status reporting and for the */ ++/* rounding mode (used if the coefficient is more than DECIMAL32_Pmax */ ++/* digits or an overflow is detected). If the exponent is out of the */ ++/* valid range then Overflow or Underflow will be raised. */ ++/* After Underflow a subnormal result is possible. */ ++/* */ ++/* DEC_Clamped is set if the number has to be 'folded down' to fit, */ ++/* by reducing its exponent and multiplying the coefficient by a */ ++/* power of ten, or if the exponent on a zero had to be clamped. */ ++/* ------------------------------------------------------------------ */ ++decimal32 * decimal32FromNumber(decimal32 *d32, const decNumber *dn, ++ decContext *set) { ++ uInt status=0; // status accumulator ++ Int ae; // adjusted exponent ++ decNumber dw; // work ++ decContext dc; // .. ++ uInt comb, exp; // .. ++ uInt uiwork; // for macros ++ uInt targ=0; // target 32-bit ++ ++ // If the number has too many digits, or the exponent could be ++ // out of range then reduce the number under the appropriate ++ // constraints. This could push the number to Infinity or zero, ++ // so this check and rounding must be done before generating the ++ // decimal32] ++ ae=dn->exponent+dn->digits-1; // [0 if special] ++ if (dn->digits>DECIMAL32_Pmax // too many digits ++ || ae>DECIMAL32_Emax // likely overflow ++ || aeround; // use supplied rounding ++ decNumberPlus(&dw, dn, &dc); // (round and check) ++ // [this changes -0 to 0, so enforce the sign...] ++ dw.bits|=dn->bits&DECNEG; ++ status=dc.status; // save status ++ dn=&dw; // use the work number ++ } // maybe out of range ++ ++ if (dn->bits&DECSPECIAL) { // a special value ++ if (dn->bits&DECINF) targ=DECIMAL_Inf<<24; ++ else { // sNaN or qNaN ++ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient ++ && (dn->digitsbits&DECNAN) targ|=DECIMAL_NaN<<24; ++ else targ|=DECIMAL_sNaN<<24; ++ } // a NaN ++ } // special ++ ++ else { // is finite ++ if (decNumberIsZero(dn)) { // is a zero ++ // set and clamp exponent ++ if (dn->exponent<-DECIMAL32_Bias) { ++ exp=0; // low clamp ++ status|=DEC_Clamped; ++ } ++ else { ++ exp=dn->exponent+DECIMAL32_Bias; // bias exponent ++ if (exp>DECIMAL32_Ehigh) { // top clamp ++ exp=DECIMAL32_Ehigh; ++ status|=DEC_Clamped; ++ } ++ } ++ comb=(exp>>3) & 0x18; // msd=0, exp top 2 bits .. ++ } ++ else { // non-zero finite number ++ uInt msd; // work ++ Int pad=0; // coefficient pad digits ++ ++ // the dn is known to fit, but it may need to be padded ++ exp=(uInt)(dn->exponent+DECIMAL32_Bias); // bias exponent ++ if (exp>DECIMAL32_Ehigh) { // fold-down case ++ pad=exp-DECIMAL32_Ehigh; ++ exp=DECIMAL32_Ehigh; // [to maximum] ++ status|=DEC_Clamped; ++ } ++ ++ // fastpath common case ++ if (DECDPUN==3 && pad==0) { ++ targ=BIN2DPD[dn->lsu[0]]; ++ if (dn->digits>3) targ|=(uInt)(BIN2DPD[dn->lsu[1]])<<10; ++ msd=(dn->digits==7 ? dn->lsu[2] : 0); ++ } ++ else { // general case ++ decDigitsToDPD(dn, &targ, pad); ++ // save and clear the top digit ++ msd=targ>>20; ++ targ&=0x000fffff; ++ } ++ ++ // create the combination field ++ if (msd>=8) comb=0x18 | ((exp>>5) & 0x06) | (msd & 0x01); ++ else comb=((exp>>3) & 0x18) | msd; ++ } ++ targ|=comb<<26; // add combination field .. ++ targ|=(exp&0x3f)<<20; // .. and exponent continuation ++ } // finite ++ ++ if (dn->bits&DECNEG) targ|=0x80000000; // add sign bit ++ ++ // now write to storage; this is endian ++ UBFROMUI(d32->bytes, targ); // directly store the int ++ ++ if (status!=0) decContextSetStatus(set, status); // pass on status ++ // decimal32Show(d32); ++ return d32; ++ } // decimal32FromNumber ++ ++/* ------------------------------------------------------------------ */ ++/* decimal32ToNumber -- convert decimal32 to decNumber */ ++/* d32 is the source decimal32 */ ++/* dn is the target number, with appropriate space */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decimal32ToNumber(const decimal32 *d32, decNumber *dn) { ++ uInt msd; // coefficient MSD ++ uInt exp; // exponent top two bits ++ uInt comb; // combination field ++ uInt sour; // source 32-bit ++ uInt uiwork; // for macros ++ ++ // load source from storage; this is endian ++ sour=UBTOUI(d32->bytes); // directly load the int ++ ++ comb=(sour>>26)&0x1f; // combination field ++ ++ decNumberZero(dn); // clean number ++ if (sour&0x80000000) dn->bits=DECNEG; // set sign if negative ++ ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { // is a special ++ if (msd==0) { ++ dn->bits|=DECINF; ++ return dn; // no coefficient needed ++ } ++ else if (sour&0x02000000) dn->bits|=DECSNAN; ++ else dn->bits|=DECNAN; ++ msd=0; // no top digit ++ } ++ else { // is a finite number ++ dn->exponent=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased ++ } ++ ++ // get the coefficient ++ sour&=0x000fffff; // clean coefficient continuation ++ if (msd) { // non-zero msd ++ sour|=msd<<20; // prefix to coefficient ++ decDigitsFromDPD(dn, &sour, 3); // process 3 declets ++ return dn; ++ } ++ // msd=0 ++ if (!sour) return dn; // easy: coefficient is 0 ++ if (sour&0x000ffc00) // need 2 declets? ++ decDigitsFromDPD(dn, &sour, 2); // process 2 declets ++ else ++ decDigitsFromDPD(dn, &sour, 1); // process 1 declet ++ return dn; ++ } // decimal32ToNumber ++ ++/* ------------------------------------------------------------------ */ ++/* to-scientific-string -- conversion to numeric string */ ++/* to-engineering-string -- conversion to numeric string */ ++/* */ ++/* decimal32ToString(d32, string); */ ++/* decimal32ToEngString(d32, string); */ ++/* */ ++/* d32 is the decimal32 format number to convert */ ++/* string is the string where the result will be laid out */ ++/* */ ++/* string must be at least 24 characters */ ++/* */ ++/* No error is possible, and no status can be set. */ ++/* ------------------------------------------------------------------ */ ++char * decimal32ToEngString(const decimal32 *d32, char *string){ ++ decNumber dn; // work ++ decimal32ToNumber(d32, &dn); ++ decNumberToEngString(&dn, string); ++ return string; ++ } // decimal32ToEngString ++ ++char * decimal32ToString(const decimal32 *d32, char *string){ ++ uInt msd; // coefficient MSD ++ Int exp; // exponent top two bits or full ++ uInt comb; // combination field ++ char *cstart; // coefficient start ++ char *c; // output pointer in string ++ const uByte *u; // work ++ char *s, *t; // .. (source, target) ++ Int dpd; // .. ++ Int pre, e; // .. ++ uInt uiwork; // for macros ++ uInt sour; // source 32-bit ++ ++ // load source from storage; this is endian ++ sour=UBTOUI(d32->bytes); // directly load the int ++ ++ c=string; // where result will go ++ if (((Int)sour)<0) *c++='-'; // handle sign ++ ++ comb=(sour>>26)&0x1f; // combination field ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { ++ if (msd==0) { // infinity ++ strcpy(c, "Inf"); ++ strcpy(c+3, "inity"); ++ return string; // easy ++ } ++ if (sour&0x02000000) *c++='s'; // sNaN ++ strcpy(c, "NaN"); // complete word ++ c+=3; // step past ++ if ((sour&0x000fffff)==0) return string; // zero payload ++ // otherwise drop through to add integer; set correct exp ++ exp=0; msd=0; // setup for following code ++ } ++ else exp=(exp<<6)+((sour>>20)&0x3f)-DECIMAL32_Bias; // unbiased ++ ++ // convert 7 digits of significand to characters ++ cstart=c; // save start of coefficient ++ if (msd) *c++='0'+(char)msd; // non-zero most significant digit ++ ++ // Now decode the declets. After extracting each one, it is ++ // decoded to binary and then to a 4-char sequence by table lookup; ++ // the 4-chars are a 1-char length (significant digits, except 000 ++ // has length 0). This allows us to left-align the first declet ++ // with non-zero content, then remaining ones are full 3-char ++ // length. We use fixed-length memcpys because variable-length ++ // causes a subroutine call in GCC. (These are length 4 for speed ++ // and are safe because the array has an extra terminator byte.) ++ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \ ++ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \ ++ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;} ++ ++ dpd=(sour>>10)&0x3ff; // declet 1 ++ dpd2char; ++ dpd=(sour)&0x3ff; // declet 2 ++ dpd2char; ++ ++ if (c==cstart) *c++='0'; // all zeros -- make 0 ++ ++ if (exp==0) { // integer or NaN case -- easy ++ *c='\0'; // terminate ++ return string; ++ } ++ ++ /* non-0 exponent */ ++ e=0; // assume no E ++ pre=c-cstart+exp; ++ // [here, pre-exp is the digits count (==1 for zero)] ++ if (exp>0 || pre<-5) { // need exponential form ++ e=pre-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ } // exponential form ++ ++ /* modify the coefficient, adding 0s, '.', and E+nn as needed */ ++ s=c-1; // source (LSD) ++ if (pre>0) { // ddd.ddd (plain), perhaps with E ++ char *dotat=cstart+pre; ++ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap ++ *t='.'; // insert the dot ++ c++; // length increased by one ++ } ++ ++ // finally add the E-part, if needed; it will never be 0, and has ++ // a maximum length of 3 digits (E-101 case) ++ if (e!=0) { ++ *c++='E'; // starts with E ++ *c++='+'; // assume positive ++ if (e<0) { ++ *(c-1)='-'; // oops, need '-' ++ e=-e; // uInt, please ++ } ++ u=&BIN2CHAR[e*4]; // -> length byte ++ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe] ++ c+=*u; // bump pointer appropriately ++ } ++ *c='\0'; // add terminator ++ //printf("res %s\n", string); ++ return string; ++ } // pre>0 ++ ++ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ ++ t=c+1-pre; ++ *(t+1)='\0'; // can add terminator now ++ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right ++ c=cstart; ++ *c++='0'; // always starts with 0. ++ *c++='.'; ++ for (; pre<0; pre++) *c++='0'; // add any 0's after '.' ++ //printf("res %s\n", string); ++ return string; ++ } // decimal32ToString ++ ++/* ------------------------------------------------------------------ */ ++/* to-number -- conversion from numeric string */ ++/* */ ++/* decimal32FromString(result, string, set); */ ++/* */ ++/* result is the decimal32 format number which gets the result of */ ++/* the conversion */ ++/* *string is the character string which should contain a valid */ ++/* number (which may be a special value) */ ++/* set is the context */ ++/* */ ++/* The context is supplied to this routine is used for error handling */ ++/* (setting of status and traps) and for the rounding mode, only. */ ++/* If an error occurs, the result will be a valid decimal32 NaN. */ ++/* ------------------------------------------------------------------ */ ++decimal32 * decimal32FromString(decimal32 *result, const char *string, ++ decContext *set) { ++ decContext dc; // work ++ decNumber dn; // .. ++ ++ decContextDefault(&dc, DEC_INIT_DECIMAL32); // no traps, please ++ dc.round=set->round; // use supplied rounding ++ ++ decNumberFromString(&dn, string, &dc); // will round if needed ++ decimal32FromNumber(result, &dn, &dc); ++ if (dc.status!=0) { // something happened ++ decContextSetStatus(set, dc.status); // .. pass it on ++ } ++ return result; ++ } // decimal32FromString ++ ++/* ------------------------------------------------------------------ */ ++/* decimal32IsCanonical -- test whether encoding is canonical */ ++/* d32 is the source decimal32 */ ++/* returns 1 if the encoding of d32 is canonical, 0 otherwise */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decimal32IsCanonical(const decimal32 *d32) { ++ decNumber dn; // work ++ decimal32 canon; // .. ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL32); ++ decimal32ToNumber(d32, &dn); ++ decimal32FromNumber(&canon, &dn, &dc);// canon will now be canonical ++ return memcmp(d32, &canon, DECIMAL32_Bytes)==0; ++ } // decimal32IsCanonical ++ ++/* ------------------------------------------------------------------ */ ++/* decimal32Canonical -- copy an encoding, ensuring it is canonical */ ++/* d32 is the source decimal32 */ ++/* result is the target (may be the same decimal32) */ ++/* returns result */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decimal32 * decimal32Canonical(decimal32 *result, const decimal32 *d32) { ++ decNumber dn; // work ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL32); ++ decimal32ToNumber(d32, &dn); ++ decimal32FromNumber(result, &dn, &dc);// result will now be canonical ++ return result; ++ } // decimal32Canonical ++ ++#if DECTRACE || DECCHECK ++/* Macros for accessing decimal32 fields. These assume the argument ++ is a reference (pointer) to the decimal32 structure, and the ++ decimal32 is in network byte order (big-endian) */ ++// Get sign ++#define decimal32Sign(d) ((unsigned)(d)->bytes[0]>>7) ++ ++// Get combination field ++#define decimal32Comb(d) (((d)->bytes[0] & 0x7c)>>2) ++ ++// Get exponent continuation [does not remove bias] ++#define decimal32ExpCon(d) ((((d)->bytes[0] & 0x03)<<4) \ ++ | ((unsigned)(d)->bytes[1]>>4)) ++ ++// Set sign [this assumes sign previously 0] ++#define decimal32SetSign(d, b) { \ ++ (d)->bytes[0]|=((unsigned)(b)<<7);} ++ ++// Set exponent continuation [does not apply bias] ++// This assumes range has been checked and exponent previously 0; ++// type of exponent must be unsigned ++#define decimal32SetExpCon(d, e) { \ ++ (d)->bytes[0]|=(uByte)((e)>>4); \ ++ (d)->bytes[1]|=(uByte)(((e)&0x0F)<<4);} ++ ++/* ------------------------------------------------------------------ */ ++/* decimal32Show -- display a decimal32 in hexadecimal [debug aid] */ ++/* d32 -- the number to show */ ++/* ------------------------------------------------------------------ */ ++// Also shows sign/cob/expconfields extracted - valid bigendian only ++void decimal32Show(const decimal32 *d32) { ++ char buf[DECIMAL32_Bytes*2+1]; ++ Int i, j=0; ++ ++ if (DECLITEND) { ++ for (i=0; ibytes[3-i]); ++ } ++ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf, ++ d32->bytes[3]>>7, (d32->bytes[3]>>2)&0x1f, ++ ((d32->bytes[3]&0x3)<<4)| (d32->bytes[2]>>4)); ++ } ++ else { ++ for (i=0; ibytes[i]); ++ } ++ printf(" D32> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf, ++ decimal32Sign(d32), decimal32Comb(d32), decimal32ExpCon(d32)); ++ } ++ } // decimal32Show ++#endif +diff -Naur a/src/decNumber/decimal32.h b/src/decNumber/decimal32.h +--- a/src/decNumber/decimal32.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal32.h 2021-09-29 10:19:45.805827665 -0700 +@@ -0,0 +1,81 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 32-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2006. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECIMAL32) ++ #define DECIMAL32 ++ #define DEC32NAME "decimal32" /* Short name */ ++ #define DEC32FULLNAME "Decimal 32-bit Number" /* Verbose name */ ++ #define DEC32AUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ /* parameters for decimal32s */ ++ #define DECIMAL32_Bytes 4 /* length */ ++ #define DECIMAL32_Pmax 7 /* maximum precision (digits) */ ++ #define DECIMAL32_Emax 96 /* maximum adjusted exponent */ ++ #define DECIMAL32_Emin -95 /* minimum adjusted exponent */ ++ #define DECIMAL32_Bias 101 /* bias for the exponent */ ++ #define DECIMAL32_String 15 /* maximum string length, +1 */ ++ #define DECIMAL32_EconL 6 /* exp. continuation length */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECIMAL32_Ehigh (DECIMAL32_Emax+DECIMAL32_Bias-DECIMAL32_Pmax+1) ++ ++ /* check enough digits, if pre-defined */ ++ #if defined(DECNUMDIGITS) ++ #if (DECNUMDIGITS=7 for safe use ++ #endif ++ #endif ++ ++ #ifndef DECNUMDIGITS ++ #define DECNUMDIGITS DECIMAL32_Pmax /* size if not already defined*/ ++ #endif ++ #ifndef DECNUMBER ++ #include "decNumber.h" /* context and number library */ ++ #endif ++ ++ /* Decimal 32-bit type, accessible by bytes */ ++ typedef struct { ++ uint8_t bytes[DECIMAL32_Bytes]; /* decimal32: 1, 5, 6, 20 bits*/ ++ } decimal32; ++ ++ /* special values [top byte excluding sign bit; last two bits are */ ++ /* don't-care for Infinity on input, last bit don't-care for NaN] */ ++ #if !defined(DECIMAL_NaN) ++ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */ ++ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */ ++ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */ ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines */ ++ /* ---------------------------------------------------------------- */ ++ /* String conversions */ ++ decimal32 * decimal32FromString(decimal32 *, const char *, decContext *); ++ char * decimal32ToString(const decimal32 *, char *); ++ char * decimal32ToEngString(const decimal32 *, char *); ++ ++ /* decNumber conversions */ ++ decimal32 * decimal32FromNumber(decimal32 *, const decNumber *, ++ decContext *); ++ decNumber * decimal32ToNumber(const decimal32 *, decNumber *); ++ ++ /* Format-dependent utilities */ ++ uint32_t decimal32IsCanonical(const decimal32 *); ++ decimal32 * decimal32Canonical(decimal32 *, const decimal32 *); ++ ++#endif +diff -Naur a/src/decNumber/decimal64.c b/src/decNumber/decimal64.c +--- a/src/decNumber/decimal64.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal64.c 2021-09-29 10:19:45.805827665 -0700 +@@ -0,0 +1,839 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 64-bit format module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for decimal64 format numbers. */ ++/* Conversions are supplied to and from decNumber and String. */ ++/* */ ++/* This is used when decNumber provides operations, either for all */ ++/* operations or as a proxy between decNumber and decSingle. */ ++/* */ ++/* Error handling is the same as decNumber (qv.). */ ++/* ------------------------------------------------------------------ */ ++#include // [for memset/memcpy] ++#include // [for printf] ++ ++#define DECNUMDIGITS 16 // make decNumbers with space for 16 ++#include "decNumber.h" // base number library ++#include "decNumberLocal.h" // decNumber local types, etc. ++#include "decimal64.h" // our primary include ++ ++/* Utility routines and tables [in decimal64.c]; externs for C++ */ ++// DPD2BIN and the reverse are renamed to prevent link-time conflict ++// if decQuad is also built in the same executable ++#define DPD2BIN DPD2BINx ++#define BIN2DPD BIN2DPDx ++extern const uInt COMBEXP[32], COMBMSD[32]; ++extern const uShort DPD2BIN[1024]; ++extern const uShort BIN2DPD[1000]; ++extern const uByte BIN2CHAR[4001]; ++ ++extern void decDigitsFromDPD(decNumber *, const uInt *, Int); ++extern void decDigitsToDPD(const decNumber *, uInt *, Int); ++ ++#if DECTRACE || DECCHECK ++void decimal64Show(const decimal64 *); // for debug ++extern void decNumberShow(const decNumber *); // .. ++#endif ++ ++/* Useful macro */ ++// Clear a structure (e.g., a decNumber) ++#define DEC_clear(d) memset(d, 0, sizeof(*d)) ++ ++/* define and include the tables to use for conversions */ ++#define DEC_BIN2CHAR 1 ++#define DEC_DPD2BIN 1 ++#define DEC_BIN2DPD 1 // used for all sizes ++#include "decDPD.h" // lookup tables ++ ++/* ------------------------------------------------------------------ */ ++/* decimal64FromNumber -- convert decNumber to decimal64 */ ++/* */ ++/* ds is the target decimal64 */ ++/* dn is the source number (assumed valid) */ ++/* set is the context, used only for reporting errors */ ++/* */ ++/* The set argument is used only for status reporting and for the */ ++/* rounding mode (used if the coefficient is more than DECIMAL64_Pmax */ ++/* digits or an overflow is detected). If the exponent is out of the */ ++/* valid range then Overflow or Underflow will be raised. */ ++/* After Underflow a subnormal result is possible. */ ++/* */ ++/* DEC_Clamped is set if the number has to be 'folded down' to fit, */ ++/* by reducing its exponent and multiplying the coefficient by a */ ++/* power of ten, or if the exponent on a zero had to be clamped. */ ++/* ------------------------------------------------------------------ */ ++decimal64 * decimal64FromNumber(decimal64 *d64, const decNumber *dn, ++ decContext *set) { ++ uInt status=0; // status accumulator ++ Int ae; // adjusted exponent ++ decNumber dw; // work ++ decContext dc; // .. ++ uInt comb, exp; // .. ++ uInt uiwork; // for macros ++ uInt targar[2]={0, 0}; // target 64-bit ++ #define targhi targar[1] // name the word with the sign ++ #define targlo targar[0] // and the other ++ ++ // If the number has too many digits, or the exponent could be ++ // out of range then reduce the number under the appropriate ++ // constraints. This could push the number to Infinity or zero, ++ // so this check and rounding must be done before generating the ++ // decimal64] ++ ae=dn->exponent+dn->digits-1; // [0 if special] ++ if (dn->digits>DECIMAL64_Pmax // too many digits ++ || ae>DECIMAL64_Emax // likely overflow ++ || aeround; // use supplied rounding ++ decNumberPlus(&dw, dn, &dc); // (round and check) ++ // [this changes -0 to 0, so enforce the sign...] ++ dw.bits|=dn->bits&DECNEG; ++ status=dc.status; // save status ++ dn=&dw; // use the work number ++ } // maybe out of range ++ ++ if (dn->bits&DECSPECIAL) { // a special value ++ if (dn->bits&DECINF) targhi=DECIMAL_Inf<<24; ++ else { // sNaN or qNaN ++ if ((*dn->lsu!=0 || dn->digits>1) // non-zero coefficient ++ && (dn->digitsbits&DECNAN) targhi|=DECIMAL_NaN<<24; ++ else targhi|=DECIMAL_sNaN<<24; ++ } // a NaN ++ } // special ++ ++ else { // is finite ++ if (decNumberIsZero(dn)) { // is a zero ++ // set and clamp exponent ++ if (dn->exponent<-DECIMAL64_Bias) { ++ exp=0; // low clamp ++ status|=DEC_Clamped; ++ } ++ else { ++ exp=dn->exponent+DECIMAL64_Bias; // bias exponent ++ if (exp>DECIMAL64_Ehigh) { // top clamp ++ exp=DECIMAL64_Ehigh; ++ status|=DEC_Clamped; ++ } ++ } ++ comb=(exp>>5) & 0x18; // msd=0, exp top 2 bits .. ++ } ++ else { // non-zero finite number ++ uInt msd; // work ++ Int pad=0; // coefficient pad digits ++ ++ // the dn is known to fit, but it may need to be padded ++ exp=(uInt)(dn->exponent+DECIMAL64_Bias); // bias exponent ++ if (exp>DECIMAL64_Ehigh) { // fold-down case ++ pad=exp-DECIMAL64_Ehigh; ++ exp=DECIMAL64_Ehigh; // [to maximum] ++ status|=DEC_Clamped; ++ } ++ ++ // fastpath common case ++ if (DECDPUN==3 && pad==0) { ++ uInt dpd[6]={0,0,0,0,0,0}; ++ uInt i; ++ Int d=dn->digits; ++ for (i=0; d>0; i++, d-=3) dpd[i]=BIN2DPD[dn->lsu[i]]; ++ targlo =dpd[0]; ++ targlo|=dpd[1]<<10; ++ targlo|=dpd[2]<<20; ++ if (dn->digits>6) { ++ targlo|=dpd[3]<<30; ++ targhi =dpd[3]>>2; ++ targhi|=dpd[4]<<8; ++ } ++ msd=dpd[5]; // [did not really need conversion] ++ } ++ else { // general case ++ decDigitsToDPD(dn, targar, pad); ++ // save and clear the top digit ++ msd=targhi>>18; ++ targhi&=0x0003ffff; ++ } ++ ++ // create the combination field ++ if (msd>=8) comb=0x18 | ((exp>>7) & 0x06) | (msd & 0x01); ++ else comb=((exp>>5) & 0x18) | msd; ++ } ++ targhi|=comb<<26; // add combination field .. ++ targhi|=(exp&0xff)<<18; // .. and exponent continuation ++ } // finite ++ ++ if (dn->bits&DECNEG) targhi|=0x80000000; // add sign bit ++ ++ // now write to storage; this is now always endian ++ if (DECLITEND) { ++ // lo int then hi ++ UBFROMUI(d64->bytes, targar[0]); ++ UBFROMUI(d64->bytes+4, targar[1]); ++ } ++ else { ++ // hi int then lo ++ UBFROMUI(d64->bytes, targar[1]); ++ UBFROMUI(d64->bytes+4, targar[0]); ++ } ++ ++ if (status!=0) decContextSetStatus(set, status); // pass on status ++ // decimal64Show(d64); ++ return d64; ++ } // decimal64FromNumber ++ ++/* ------------------------------------------------------------------ */ ++/* decimal64ToNumber -- convert decimal64 to decNumber */ ++/* d64 is the source decimal64 */ ++/* dn is the target number, with appropriate space */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decimal64ToNumber(const decimal64 *d64, decNumber *dn) { ++ uInt msd; // coefficient MSD ++ uInt exp; // exponent top two bits ++ uInt comb; // combination field ++ Int need; // work ++ uInt uiwork; // for macros ++ uInt sourar[2]; // source 64-bit ++ #define sourhi sourar[1] // name the word with the sign ++ #define sourlo sourar[0] // and the lower word ++ ++ // load source from storage; this is endian ++ if (DECLITEND) { ++ sourlo=UBTOUI(d64->bytes ); // directly load the low int ++ sourhi=UBTOUI(d64->bytes+4); // then the high int ++ } ++ else { ++ sourhi=UBTOUI(d64->bytes ); // directly load the high int ++ sourlo=UBTOUI(d64->bytes+4); // then the low int ++ } ++ ++ comb=(sourhi>>26)&0x1f; // combination field ++ ++ decNumberZero(dn); // clean number ++ if (sourhi&0x80000000) dn->bits=DECNEG; // set sign if negative ++ ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { // is a special ++ if (msd==0) { ++ dn->bits|=DECINF; ++ return dn; // no coefficient needed ++ } ++ else if (sourhi&0x02000000) dn->bits|=DECSNAN; ++ else dn->bits|=DECNAN; ++ msd=0; // no top digit ++ } ++ else { // is a finite number ++ dn->exponent=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; // unbiased ++ } ++ ++ // get the coefficient ++ sourhi&=0x0003ffff; // clean coefficient continuation ++ if (msd) { // non-zero msd ++ sourhi|=msd<<18; // prefix to coefficient ++ need=6; // process 6 declets ++ } ++ else { // msd=0 ++ if (!sourhi) { // top word 0 ++ if (!sourlo) return dn; // easy: coefficient is 0 ++ need=3; // process at least 3 declets ++ if (sourlo&0xc0000000) need++; // process 4 declets ++ // [could reduce some more, here] ++ } ++ else { // some bits in top word, msd=0 ++ need=4; // process at least 4 declets ++ if (sourhi&0x0003ff00) need++; // top declet!=0, process 5 ++ } ++ } //msd=0 ++ ++ decDigitsFromDPD(dn, sourar, need); // process declets ++ return dn; ++ } // decimal64ToNumber ++ ++ ++/* ------------------------------------------------------------------ */ ++/* to-scientific-string -- conversion to numeric string */ ++/* to-engineering-string -- conversion to numeric string */ ++/* */ ++/* decimal64ToString(d64, string); */ ++/* decimal64ToEngString(d64, string); */ ++/* */ ++/* d64 is the decimal64 format number to convert */ ++/* string is the string where the result will be laid out */ ++/* */ ++/* string must be at least 24 characters */ ++/* */ ++/* No error is possible, and no status can be set. */ ++/* ------------------------------------------------------------------ */ ++char * decimal64ToEngString(const decimal64 *d64, char *string){ ++ decNumber dn; // work ++ decimal64ToNumber(d64, &dn); ++ decNumberToEngString(&dn, string); ++ return string; ++ } // decimal64ToEngString ++ ++char * decimal64ToString(const decimal64 *d64, char *string){ ++ uInt msd; // coefficient MSD ++ Int exp; // exponent top two bits or full ++ uInt comb; // combination field ++ char *cstart; // coefficient start ++ char *c; // output pointer in string ++ const uByte *u; // work ++ char *s, *t; // .. (source, target) ++ Int dpd; // .. ++ Int pre, e; // .. ++ uInt uiwork; // for macros ++ ++ uInt sourar[2]; // source 64-bit ++ #define sourhi sourar[1] // name the word with the sign ++ #define sourlo sourar[0] // and the lower word ++ ++ // load source from storage; this is endian ++ if (DECLITEND) { ++ sourlo=UBTOUI(d64->bytes ); // directly load the low int ++ sourhi=UBTOUI(d64->bytes+4); // then the high int ++ } ++ else { ++ sourhi=UBTOUI(d64->bytes ); // directly load the high int ++ sourlo=UBTOUI(d64->bytes+4); // then the low int ++ } ++ ++ c=string; // where result will go ++ if (((Int)sourhi)<0) *c++='-'; // handle sign ++ ++ comb=(sourhi>>26)&0x1f; // combination field ++ msd=COMBMSD[comb]; // decode the combination field ++ exp=COMBEXP[comb]; // .. ++ ++ if (exp==3) { ++ if (msd==0) { // infinity ++ strcpy(c, "Inf"); ++ strcpy(c+3, "inity"); ++ return string; // easy ++ } ++ if (sourhi&0x02000000) *c++='s'; // sNaN ++ strcpy(c, "NaN"); // complete word ++ c+=3; // step past ++ if (sourlo==0 && (sourhi&0x0003ffff)==0) return string; // zero payload ++ // otherwise drop through to add integer; set correct exp ++ exp=0; msd=0; // setup for following code ++ } ++ else exp=(exp<<8)+((sourhi>>18)&0xff)-DECIMAL64_Bias; ++ ++ // convert 16 digits of significand to characters ++ cstart=c; // save start of coefficient ++ if (msd) *c++='0'+(char)msd; // non-zero most significant digit ++ ++ // Now decode the declets. After extracting each one, it is ++ // decoded to binary and then to a 4-char sequence by table lookup; ++ // the 4-chars are a 1-char length (significant digits, except 000 ++ // has length 0). This allows us to left-align the first declet ++ // with non-zero content, then remaining ones are full 3-char ++ // length. We use fixed-length memcpys because variable-length ++ // causes a subroutine call in GCC. (These are length 4 for speed ++ // and are safe because the array has an extra terminator byte.) ++ #define dpd2char u=&BIN2CHAR[DPD2BIN[dpd]*4]; \ ++ if (c!=cstart) {memcpy(c, u+1, 4); c+=3;} \ ++ else if (*u) {memcpy(c, u+4-*u, 4); c+=*u;} ++ ++ dpd=(sourhi>>8)&0x3ff; // declet 1 ++ dpd2char; ++ dpd=((sourhi&0xff)<<2) | (sourlo>>30); // declet 2 ++ dpd2char; ++ dpd=(sourlo>>20)&0x3ff; // declet 3 ++ dpd2char; ++ dpd=(sourlo>>10)&0x3ff; // declet 4 ++ dpd2char; ++ dpd=(sourlo)&0x3ff; // declet 5 ++ dpd2char; ++ ++ if (c==cstart) *c++='0'; // all zeros -- make 0 ++ ++ if (exp==0) { // integer or NaN case -- easy ++ *c='\0'; // terminate ++ return string; ++ } ++ ++ /* non-0 exponent */ ++ e=0; // assume no E ++ pre=c-cstart+exp; ++ // [here, pre-exp is the digits count (==1 for zero)] ++ if (exp>0 || pre<-5) { // need exponential form ++ e=pre-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ } // exponential form ++ ++ /* modify the coefficient, adding 0s, '.', and E+nn as needed */ ++ s=c-1; // source (LSD) ++ if (pre>0) { // ddd.ddd (plain), perhaps with E ++ char *dotat=cstart+pre; ++ if (dotat=dotat; s--, t--) *t=*s; // open the gap; leave t at gap ++ *t='.'; // insert the dot ++ c++; // length increased by one ++ } ++ ++ // finally add the E-part, if needed; it will never be 0, and has ++ // a maximum length of 3 digits ++ if (e!=0) { ++ *c++='E'; // starts with E ++ *c++='+'; // assume positive ++ if (e<0) { ++ *(c-1)='-'; // oops, need '-' ++ e=-e; // uInt, please ++ } ++ u=&BIN2CHAR[e*4]; // -> length byte ++ memcpy(c, u+4-*u, 4); // copy fixed 4 characters [is safe] ++ c+=*u; // bump pointer appropriately ++ } ++ *c='\0'; // add terminator ++ //printf("res %s\n", string); ++ return string; ++ } // pre>0 ++ ++ /* -5<=pre<=0: here for plain 0.ddd or 0.000ddd forms (can never have E) */ ++ t=c+1-pre; ++ *(t+1)='\0'; // can add terminator now ++ for (; s>=cstart; s--, t--) *t=*s; // shift whole coefficient right ++ c=cstart; ++ *c++='0'; // always starts with 0. ++ *c++='.'; ++ for (; pre<0; pre++) *c++='0'; // add any 0's after '.' ++ //printf("res %s\n", string); ++ return string; ++ } // decimal64ToString ++ ++/* ------------------------------------------------------------------ */ ++/* to-number -- conversion from numeric string */ ++/* */ ++/* decimal64FromString(result, string, set); */ ++/* */ ++/* result is the decimal64 format number which gets the result of */ ++/* the conversion */ ++/* *string is the character string which should contain a valid */ ++/* number (which may be a special value) */ ++/* set is the context */ ++/* */ ++/* The context is supplied to this routine is used for error handling */ ++/* (setting of status and traps) and for the rounding mode, only. */ ++/* If an error occurs, the result will be a valid decimal64 NaN. */ ++/* ------------------------------------------------------------------ */ ++decimal64 * decimal64FromString(decimal64 *result, const char *string, ++ decContext *set) { ++ decContext dc; // work ++ decNumber dn; // .. ++ ++ decContextDefault(&dc, DEC_INIT_DECIMAL64); // no traps, please ++ dc.round=set->round; // use supplied rounding ++ ++ decNumberFromString(&dn, string, &dc); // will round if needed ++ ++ decimal64FromNumber(result, &dn, &dc); ++ if (dc.status!=0) { // something happened ++ decContextSetStatus(set, dc.status); // .. pass it on ++ } ++ return result; ++ } // decimal64FromString ++ ++/* ------------------------------------------------------------------ */ ++/* decimal64IsCanonical -- test whether encoding is canonical */ ++/* d64 is the source decimal64 */ ++/* returns 1 if the encoding of d64 is canonical, 0 otherwise */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++uInt decimal64IsCanonical(const decimal64 *d64) { ++ decNumber dn; // work ++ decimal64 canon; // .. ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL64); ++ decimal64ToNumber(d64, &dn); ++ decimal64FromNumber(&canon, &dn, &dc);// canon will now be canonical ++ return memcmp(d64, &canon, DECIMAL64_Bytes)==0; ++ } // decimal64IsCanonical ++ ++/* ------------------------------------------------------------------ */ ++/* decimal64Canonical -- copy an encoding, ensuring it is canonical */ ++/* d64 is the source decimal64 */ ++/* result is the target (may be the same decimal64) */ ++/* returns result */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decimal64 * decimal64Canonical(decimal64 *result, const decimal64 *d64) { ++ decNumber dn; // work ++ decContext dc; // .. ++ decContextDefault(&dc, DEC_INIT_DECIMAL64); ++ decimal64ToNumber(d64, &dn); ++ decimal64FromNumber(result, &dn, &dc);// result will now be canonical ++ return result; ++ } // decimal64Canonical ++ ++#if DECTRACE || DECCHECK ++/* Macros for accessing decimal64 fields. These assume the ++ argument is a reference (pointer) to the decimal64 structure, ++ and the decimal64 is in network byte order (big-endian) */ ++// Get sign ++#define decimal64Sign(d) ((unsigned)(d)->bytes[0]>>7) ++ ++// Get combination field ++#define decimal64Comb(d) (((d)->bytes[0] & 0x7c)>>2) ++ ++// Get exponent continuation [does not remove bias] ++#define decimal64ExpCon(d) ((((d)->bytes[0] & 0x03)<<6) \ ++ | ((unsigned)(d)->bytes[1]>>2)) ++ ++// Set sign [this assumes sign previously 0] ++#define decimal64SetSign(d, b) { \ ++ (d)->bytes[0]|=((unsigned)(b)<<7);} ++ ++// Set exponent continuation [does not apply bias] ++// This assumes range has been checked and exponent previously 0; ++// type of exponent must be unsigned ++#define decimal64SetExpCon(d, e) { \ ++ (d)->bytes[0]|=(uByte)((e)>>6); \ ++ (d)->bytes[1]|=(uByte)(((e)&0x3F)<<2);} ++ ++/* ------------------------------------------------------------------ */ ++/* decimal64Show -- display a decimal64 in hexadecimal [debug aid] */ ++/* d64 -- the number to show */ ++/* ------------------------------------------------------------------ */ ++// Also shows sign/cob/expconfields extracted ++void decimal64Show(const decimal64 *d64) { ++ char buf[DECIMAL64_Bytes*2+1]; ++ Int i, j=0; ++ ++ if (DECLITEND) { ++ for (i=0; ibytes[7-i]); ++ } ++ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] LittleEndian\n", buf, ++ d64->bytes[7]>>7, (d64->bytes[7]>>2)&0x1f, ++ ((d64->bytes[7]&0x3)<<6)| (d64->bytes[6]>>2)); ++ } ++ else { // big-endian ++ for (i=0; ibytes[i]); ++ } ++ printf(" D64> %s [S:%d Cb:%02x Ec:%02x] BigEndian\n", buf, ++ decimal64Sign(d64), decimal64Comb(d64), decimal64ExpCon(d64)); ++ } ++ } // decimal64Show ++#endif ++ ++/* ================================================================== */ ++/* Shared utility routines and tables */ ++/* ================================================================== */ ++// define and include the conversion tables to use for shared code ++#if DECDPUN==3 ++ #define DEC_DPD2BIN 1 ++#else ++ #define DEC_DPD2BCD 1 ++#endif ++#include "decDPD.h" // lookup tables ++ ++// The maximum number of decNumberUnits needed for a working copy of ++// the units array is the ceiling of digits/DECDPUN, where digits is ++// the maximum number of digits in any of the formats for which this ++// is used. decimal128.h must not be included in this module, so, as ++// a very special case, that number is defined as a literal here. ++#define DECMAX754 34 ++#define DECMAXUNITS ((DECMAX754+DECDPUN-1)/DECDPUN) ++ ++/* ------------------------------------------------------------------ */ ++/* Combination field lookup tables (uInts to save measurable work) */ ++/* */ ++/* COMBEXP - 2-bit most-significant-bits of exponent */ ++/* [11 if an Infinity or NaN] */ ++/* COMBMSD - 4-bit most-significant-digit */ ++/* [0=Infinity, 1=NaN if COMBEXP=11] */ ++/* */ ++/* Both are indexed by the 5-bit combination field (0-31) */ ++/* ------------------------------------------------------------------ */ ++const uInt COMBEXP[32]={0, 0, 0, 0, 0, 0, 0, 0, ++ 1, 1, 1, 1, 1, 1, 1, 1, ++ 2, 2, 2, 2, 2, 2, 2, 2, ++ 0, 0, 1, 1, 2, 2, 3, 3}; ++const uInt COMBMSD[32]={0, 1, 2, 3, 4, 5, 6, 7, ++ 0, 1, 2, 3, 4, 5, 6, 7, ++ 0, 1, 2, 3, 4, 5, 6, 7, ++ 8, 9, 8, 9, 8, 9, 0, 1}; ++ ++/* ------------------------------------------------------------------ */ ++/* decDigitsToDPD -- pack coefficient into DPD form */ ++/* */ ++/* dn is the source number (assumed valid, max DECMAX754 digits) */ ++/* targ is 1, 2, or 4-element uInt array, which the caller must */ ++/* have cleared to zeros */ ++/* shift is the number of 0 digits to add on the right (normally 0) */ ++/* */ ++/* The coefficient must be known small enough to fit. The full */ ++/* coefficient is copied, including the leading 'odd' digit. This */ ++/* digit is retrieved and packed into the combination field by the */ ++/* caller. */ ++/* */ ++/* The target uInts are altered only as necessary to receive the */ ++/* digits of the decNumber. When more than one uInt is needed, they */ ++/* are filled from left to right (that is, the uInt at offset 0 will */ ++/* end up with the least-significant digits). */ ++/* */ ++/* shift is used for 'fold-down' padding. */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++#if DECDPUN<=4 ++// Constant multipliers for divide-by-power-of five using reciprocal ++// multiply, after removing powers of 2 by shifting, and final shift ++// of 17 [we only need up to **4] ++static const uInt multies[]={131073, 26215, 5243, 1049, 210}; ++// QUOT10 -- macro to return the quotient of unit u divided by 10**n ++#define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17) ++#endif ++void decDigitsToDPD(const decNumber *dn, uInt *targ, Int shift) { ++ Int cut; // work ++ Int n; // output bunch counter ++ Int digits=dn->digits; // digit countdown ++ uInt dpd; // densely packed decimal value ++ uInt bin; // binary value 0-999 ++ uInt *uout=targ; // -> current output uInt ++ uInt uoff=0; // -> current output offset [from right] ++ const Unit *inu=dn->lsu; // -> current input unit ++ Unit uar[DECMAXUNITS]; // working copy of units, iff shifted ++ #if DECDPUN!=3 // not fast path ++ Unit in; // current unit ++ #endif ++ ++ if (shift!=0) { // shift towards most significant required ++ // shift the units array to the left by pad digits and copy ++ // [this code is a special case of decShiftToMost, which could ++ // be used instead if exposed and the array were copied first] ++ const Unit *source; // .. ++ Unit *target, *first; // .. ++ uInt next=0; // work ++ ++ source=dn->lsu+D2U(digits)-1; // where msu comes from ++ target=uar+D2U(digits)-1+D2U(shift);// where upper part of first cut goes ++ cut=DECDPUN-MSUDIGITS(shift); // where to slice ++ if (cut==0) { // unit-boundary case ++ for (; source>=dn->lsu; source--, target--) *target=*source; ++ } ++ else { ++ first=uar+D2U(digits+shift)-1; // where msu will end up ++ for (; source>=dn->lsu; source--, target--) { ++ // split the source Unit and accumulate remainder for next ++ #if DECDPUN<=4 ++ uInt quot=QUOT10(*source, cut); ++ uInt rem=*source-quot*DECPOWERS[cut]; ++ next+=quot; ++ #else ++ uInt rem=*source%DECPOWERS[cut]; ++ next+=*source/DECPOWERS[cut]; ++ #endif ++ if (target<=first) *target=(Unit)next; // write to target iff valid ++ next=rem*DECPOWERS[DECDPUN-cut]; // save remainder for next Unit ++ } ++ } // shift-move ++ // propagate remainder to one below and clear the rest ++ for (; target>=uar; target--) { ++ *target=(Unit)next; ++ next=0; ++ } ++ digits+=shift; // add count (shift) of zeros added ++ inu=uar; // use units in working array ++ } ++ ++ /* now densely pack the coefficient into DPD declets */ ++ ++ #if DECDPUN!=3 // not fast path ++ in=*inu; // current unit ++ cut=0; // at lowest digit ++ bin=0; // [keep compiler quiet] ++ #endif ++ ++ for(n=0; digits>0; n++) { // each output bunch ++ #if DECDPUN==3 // fast path, 3-at-a-time ++ bin=*inu; // 3 digits ready for convert ++ digits-=3; // [may go negative] ++ inu++; // may need another ++ ++ #else // must collect digit-by-digit ++ Unit dig; // current digit ++ Int j; // digit-in-declet count ++ for (j=0; j<3; j++) { ++ #if DECDPUN<=4 ++ Unit temp=(Unit)((uInt)(in*6554)>>16); ++ dig=(Unit)(in-X10(temp)); ++ in=temp; ++ #else ++ dig=in%10; ++ in=in/10; ++ #endif ++ if (j==0) bin=dig; ++ else if (j==1) bin+=X10(dig); ++ else /* j==2 */ bin+=X100(dig); ++ digits--; ++ if (digits==0) break; // [also protects *inu below] ++ cut++; ++ if (cut==DECDPUN) {inu++; in=*inu; cut=0;} ++ } ++ #endif ++ // here there are 3 digits in bin, or have used all input digits ++ ++ dpd=BIN2DPD[bin]; ++ ++ // write declet to uInt array ++ *uout|=dpd<>(10-uoff); // collect top bits ++ } // n declets ++ return; ++ } // decDigitsToDPD ++ ++/* ------------------------------------------------------------------ */ ++/* decDigitsFromDPD -- unpack a format's coefficient */ ++/* */ ++/* dn is the target number, with 7, 16, or 34-digit space. */ ++/* sour is a 1, 2, or 4-element uInt array containing only declets */ ++/* declets is the number of (right-aligned) declets in sour to */ ++/* be processed. This may be 1 more than the obvious number in */ ++/* a format, as any top digit is prefixed to the coefficient */ ++/* continuation field. It also may be as small as 1, as the */ ++/* caller may pre-process leading zero declets. */ ++/* */ ++/* When doing the 'extra declet' case care is taken to avoid writing */ ++/* extra digits when there are leading zeros, as these could overflow */ ++/* the units array when DECDPUN is not 3. */ ++/* */ ++/* The target uInts are used only as necessary to process declets */ ++/* declets into the decNumber. When more than one uInt is needed, */ ++/* they are used from left to right (that is, the uInt at offset 0 */ ++/* provides the least-significant digits). */ ++/* */ ++/* dn->digits is set, but not the sign or exponent. */ ++/* No error is possible [the redundant 888 codes are allowed]. */ ++/* ------------------------------------------------------------------ */ ++void decDigitsFromDPD(decNumber *dn, const uInt *sour, Int declets) { ++ ++ uInt dpd; // collector for 10 bits ++ Int n; // counter ++ Unit *uout=dn->lsu; // -> current output unit ++ Unit *last=uout; // will be unit containing msd ++ const uInt *uin=sour; // -> current input uInt ++ uInt uoff=0; // -> current input offset [from right] ++ ++ #if DECDPUN!=3 ++ uInt bcd; // BCD result ++ uInt nibble; // work ++ Unit out=0; // accumulator ++ Int cut=0; // power of ten in current unit ++ #endif ++ #if DECDPUN>4 ++ uInt const *pow; // work ++ #endif ++ ++ // Expand the densely-packed integer, right to left ++ for (n=declets-1; n>=0; n--) { // count down declets of 10 bits ++ dpd=*uin>>uoff; ++ uoff+=10; ++ if (uoff>32) { // crossed uInt boundary ++ uin++; ++ uoff-=32; // [if using this code for wider, check this] ++ dpd|=*uin<<(10-uoff); // get waiting bits ++ } ++ dpd&=0x3ff; // clear uninteresting bits ++ ++ #if DECDPUN==3 ++ if (dpd==0) *uout=0; ++ else { ++ *uout=DPD2BIN[dpd]; // convert 10 bits to binary 0-999 ++ last=uout; // record most significant unit ++ } ++ uout++; ++ } // n ++ ++ #else // DECDPUN!=3 ++ if (dpd==0) { // fastpath [e.g., leading zeros] ++ // write out three 0 digits (nibbles); out may have digit(s) ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ if (n==0) break; // [as below, works even if MSD=0] ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ continue; ++ } ++ ++ bcd=DPD2BCD[dpd]; // convert 10 bits to 12 bits BCD ++ ++ // now accumulate the 3 BCD nibbles into units ++ nibble=bcd & 0x00f; ++ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ bcd>>=4; ++ ++ // if this is the last declet and the remaining nibbles in bcd ++ // are 00 then process no more nibbles, because this could be ++ // the 'odd' MSD declet and writing any more Units would then ++ // overflow the unit array ++ if (n==0 && !bcd) break; ++ ++ nibble=bcd & 0x00f; ++ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ bcd>>=4; ++ ++ nibble=bcd & 0x00f; ++ if (nibble) out=(Unit)(out+nibble*DECPOWERS[cut]); ++ cut++; ++ if (cut==DECDPUN) {*uout=out; if (out) {last=uout; out=0;} uout++; cut=0;} ++ } // n ++ if (cut!=0) { // some more left over ++ *uout=out; // write out final unit ++ if (out) last=uout; // and note if non-zero ++ } ++ #endif ++ ++ // here, last points to the most significant unit with digits; ++ // inspect it to get the final digits count -- this is essentially ++ // the same code as decGetDigits in decNumber.c ++ dn->digits=(last-dn->lsu)*DECDPUN+1; // floor of digits, plus ++ // must be at least 1 digit ++ #if DECDPUN>1 ++ if (*last<10) return; // common odd digit or 0 ++ dn->digits++; // must be 2 at least ++ #if DECDPUN>2 ++ if (*last<100) return; // 10-99 ++ dn->digits++; // must be 3 at least ++ #if DECDPUN>3 ++ if (*last<1000) return; // 100-999 ++ dn->digits++; // must be 4 at least ++ #if DECDPUN>4 ++ for (pow=&DECPOWERS[4]; *last>=*pow; pow++) dn->digits++; ++ #endif ++ #endif ++ #endif ++ #endif ++ return; ++ } //decDigitsFromDPD +diff -Naur a/src/decNumber/decimal64.h b/src/decNumber/decimal64.h +--- a/src/decNumber/decimal64.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decimal64.h 2021-09-29 10:19:45.805827665 -0700 +@@ -0,0 +1,83 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal 64-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECIMAL64) ++ #define DECIMAL64 ++ #define DEC64NAME "decimal64" /* Short name */ ++ #define DEC64FULLNAME "Decimal 64-bit Number" /* Verbose name */ ++ #define DEC64AUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ ++ /* parameters for decimal64s */ ++ #define DECIMAL64_Bytes 8 /* length */ ++ #define DECIMAL64_Pmax 16 /* maximum precision (digits) */ ++ #define DECIMAL64_Emax 384 /* maximum adjusted exponent */ ++ #define DECIMAL64_Emin -383 /* minimum adjusted exponent */ ++ #define DECIMAL64_Bias 398 /* bias for the exponent */ ++ #define DECIMAL64_String 24 /* maximum string length, +1 */ ++ #define DECIMAL64_EconL 8 /* exp. continuation length */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECIMAL64_Ehigh (DECIMAL64_Emax+DECIMAL64_Bias-DECIMAL64_Pmax+1) ++ ++ /* check enough digits, if pre-defined */ ++ #if defined(DECNUMDIGITS) ++ #if (DECNUMDIGITS=16 for safe use ++ #endif ++ #endif ++ ++ ++ #ifndef DECNUMDIGITS ++ #define DECNUMDIGITS DECIMAL64_Pmax /* size if not already defined*/ ++ #endif ++ #ifndef DECNUMBER ++ #include "decNumber.h" /* context and number library */ ++ #endif ++ ++ /* Decimal 64-bit type, accessible by bytes */ ++ typedef struct { ++ uint8_t bytes[DECIMAL64_Bytes]; /* decimal64: 1, 5, 8, 50 bits*/ ++ } decimal64; ++ ++ /* special values [top byte excluding sign bit; last two bits are */ ++ /* don't-care for Infinity on input, last bit don't-care for NaN] */ ++ #if !defined(DECIMAL_NaN) ++ #define DECIMAL_NaN 0x7c /* 0 11111 00 NaN */ ++ #define DECIMAL_sNaN 0x7e /* 0 11111 10 sNaN */ ++ #define DECIMAL_Inf 0x78 /* 0 11110 00 Infinity */ ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines */ ++ /* ---------------------------------------------------------------- */ ++ /* String conversions */ ++ decimal64 * decimal64FromString(decimal64 *, const char *, decContext *); ++ char * decimal64ToString(const decimal64 *, char *); ++ char * decimal64ToEngString(const decimal64 *, char *); ++ ++ /* decNumber conversions */ ++ decimal64 * decimal64FromNumber(decimal64 *, const decNumber *, ++ decContext *); ++ decNumber * decimal64ToNumber(const decimal64 *, decNumber *); ++ ++ /* Format-dependent utilities */ ++ uint32_t decimal64IsCanonical(const decimal64 *); ++ decimal64 * decimal64Canonical(decimal64 *, const decimal64 *); ++ ++#endif +diff -Naur a/src/decNumber/decNumber.c b/src/decNumber/decNumber.c +--- a/src/decNumber/decNumber.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decNumber.c 2021-09-29 10:19:45.802827649 -0700 +@@ -0,0 +1,8141 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number arithmetic module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2009. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for arbitrary-precision General */ ++/* Decimal Arithmetic as defined in the specification which may be */ ++/* found on the General Decimal Arithmetic pages. It implements both */ ++/* the full ('extended') arithmetic and the simpler ('subset') */ ++/* arithmetic. */ ++/* */ ++/* Usage notes: */ ++/* */ ++/* 1. This code is ANSI C89 except: */ ++/* */ ++/* a) C99 line comments (double forward slash) are used. (Most C */ ++/* compilers accept these. If yours does not, a simple script */ ++/* can be used to convert them to ANSI C comments.) */ ++/* */ ++/* b) Types from C99 stdint.h are used. If you do not have this */ ++/* header file, see the User's Guide section of the decNumber */ ++/* documentation; this lists the necessary definitions. */ ++/* */ ++/* c) If DECDPUN>4 or DECUSE64=1, the C99 64-bit int64_t and */ ++/* uint64_t types may be used. To avoid these, set DECUSE64=0 */ ++/* and DECDPUN<=4 (see documentation). */ ++/* */ ++/* The code also conforms to C99 restrictions; in particular, */ ++/* strict aliasing rules are observed. */ ++/* */ ++/* 2. The decNumber format which this library uses is optimized for */ ++/* efficient processing of relatively short numbers; in particular */ ++/* it allows the use of fixed sized structures and minimizes copy */ ++/* and move operations. It does, however, support arbitrary */ ++/* precision (up to 999,999,999 digits) and arbitrary exponent */ ++/* range (Emax in the range 0 through 999,999,999 and Emin in the */ ++/* range -999,999,999 through 0). Mathematical functions (for */ ++/* example decNumberExp) as identified below are restricted more */ ++/* tightly: digits, emax, and -emin in the context must be <= */ ++/* DEC_MAX_MATH (999999), and their operand(s) must be within */ ++/* these bounds. */ ++/* */ ++/* 3. Logical functions are further restricted; their operands must */ ++/* be finite, positive, have an exponent of zero, and all digits */ ++/* must be either 0 or 1. The result will only contain digits */ ++/* which are 0 or 1 (and will have exponent=0 and a sign of 0). */ ++/* */ ++/* 4. Operands to operator functions are never modified unless they */ ++/* are also specified to be the result number (which is always */ ++/* permitted). Other than that case, operands must not overlap. */ ++/* */ ++/* 5. Error handling: the type of the error is ORed into the status */ ++/* flags in the current context (decContext structure). The */ ++/* SIGFPE signal is then raised if the corresponding trap-enabler */ ++/* flag in the decContext is set (is 1). */ ++/* */ ++/* It is the responsibility of the caller to clear the status */ ++/* flags as required. */ ++/* */ ++/* The result of any routine which returns a number will always */ ++/* be a valid number (which may be a special value, such as an */ ++/* Infinity or NaN). */ ++/* */ ++/* 6. The decNumber format is not an exchangeable concrete */ ++/* representation as it comprises fields which may be machine- */ ++/* dependent (packed or unpacked, or special length, for example). */ ++/* Canonical conversions to and from strings are provided; other */ ++/* conversions are available in separate modules. */ ++/* */ ++/* 7. Normally, input operands are assumed to be valid. Set DECCHECK */ ++/* to 1 for extended operand checking (including NULL operands). */ ++/* Results are undefined if a badly-formed structure (or a NULL */ ++/* pointer to a structure) is provided, though with DECCHECK */ ++/* enabled the operator routines are protected against exceptions. */ ++/* (Except if the result pointer is NULL, which is unrecoverable.) */ ++/* */ ++/* However, the routines will never cause exceptions if they are */ ++/* given well-formed operands, even if the value of the operands */ ++/* is inappropriate for the operation and DECCHECK is not set. */ ++/* (Except for SIGFPE, as and where documented.) */ ++/* */ ++/* 8. Subset arithmetic is available only if DECSUBSET is set to 1. */ ++/* ------------------------------------------------------------------ */ ++/* Implementation notes for maintenance of this module: */ ++/* */ ++/* 1. Storage leak protection: Routines which use malloc are not */ ++/* permitted to use return for fastpath or error exits (i.e., */ ++/* they follow strict structured programming conventions). */ ++/* Instead they have a do{}while(0); construct surrounding the */ ++/* code which is protected -- break may be used to exit this. */ ++/* Other routines can safely use the return statement inline. */ ++/* */ ++/* Storage leak accounting can be enabled using DECALLOC. */ ++/* */ ++/* 2. All loops use the for(;;) construct. Any do construct does */ ++/* not loop; it is for allocation protection as just described. */ ++/* */ ++/* 3. Setting status in the context must always be the very last */ ++/* action in a routine, as non-0 status may raise a trap and hence */ ++/* the call to set status may not return (if the handler uses long */ ++/* jump). Therefore all cleanup must be done first. In general, */ ++/* to achieve this status is accumulated and is only applied just */ ++/* before return by calling decContextSetStatus (via decStatus). */ ++/* */ ++/* Routines which allocate storage cannot, in general, use the */ ++/* 'top level' routines which could cause a non-returning */ ++/* transfer of control. The decXxxxOp routines are safe (do not */ ++/* call decStatus even if traps are set in the context) and should */ ++/* be used instead (they are also a little faster). */ ++/* */ ++/* 4. Exponent checking is minimized by allowing the exponent to */ ++/* grow outside its limits during calculations, provided that */ ++/* the decFinalize function is called later. Multiplication and */ ++/* division, and intermediate calculations in exponentiation, */ ++/* require more careful checks because of the risk of 31-bit */ ++/* overflow (the most negative valid exponent is -1999999997, for */ ++/* a 999999999-digit number with adjusted exponent of -999999999). */ ++/* */ ++/* 5. Rounding is deferred until finalization of results, with any */ ++/* 'off to the right' data being represented as a single digit */ ++/* residue (in the range -1 through 9). This avoids any double- */ ++/* rounding when more than one shortening takes place (for */ ++/* example, when a result is subnormal). */ ++/* */ ++/* 6. The digits count is allowed to rise to a multiple of DECDPUN */ ++/* during many operations, so whole Units are handled and exact */ ++/* accounting of digits is not needed. The correct digits value */ ++/* is found by decGetDigits, which accounts for leading zeros. */ ++/* This must be called before any rounding if the number of digits */ ++/* is not known exactly. */ ++/* */ ++/* 7. The multiply-by-reciprocal 'trick' is used for partitioning */ ++/* numbers up to four digits, using appropriate constants. This */ ++/* is not useful for longer numbers because overflow of 32 bits */ ++/* would lead to 4 multiplies, which is almost as expensive as */ ++/* a divide (unless a floating-point or 64-bit multiply is */ ++/* assumed to be available). */ ++/* */ ++/* 8. Unusual abbreviations that may be used in the commentary: */ ++/* lhs -- left hand side (operand, of an operation) */ ++/* lsd -- least significant digit (of coefficient) */ ++/* lsu -- least significant Unit (of coefficient) */ ++/* msd -- most significant digit (of coefficient) */ ++/* msi -- most significant item (in an array) */ ++/* msu -- most significant Unit (of coefficient) */ ++/* rhs -- right hand side (operand, of an operation) */ ++/* +ve -- positive */ ++/* -ve -- negative */ ++/* ** -- raise to the power */ ++/* ------------------------------------------------------------------ */ ++ ++#include // for malloc, free, etc. ++#include // for printf [if needed] ++#include // for strcpy ++#include // for lower ++#include "decNumber.h" // base number library ++#include "decNumberLocal.h" // decNumber local types, etc. ++ ++/* Constants */ ++// Public lookup table used by the D2U macro ++const uByte d2utable[DECMAXD2U+1]=D2UTABLE; ++ ++#define DECVERB 1 // set to 1 for verbose DECCHECK ++#define powers DECPOWERS // old internal name ++ ++// Local constants ++#define DIVIDE 0x80 // Divide operators ++#define REMAINDER 0x40 // .. ++#define DIVIDEINT 0x20 // .. ++#define REMNEAR 0x10 // .. ++#define COMPARE 0x01 // Compare operators ++#define COMPMAX 0x02 // .. ++#define COMPMIN 0x03 // .. ++#define COMPTOTAL 0x04 // .. ++#define COMPNAN 0x05 // .. [NaN processing] ++#define COMPSIG 0x06 // .. [signaling COMPARE] ++#define COMPMAXMAG 0x07 // .. ++#define COMPMINMAG 0x08 // .. ++ ++#define DEC_sNaN 0x40000000 // local status: sNaN signal ++#define BADINT (Int)0x80000000 // most-negative Int; error indicator ++// Next two indicate an integer >= 10**6, and its parity (bottom bit) ++#define BIGEVEN (Int)0x80000002 ++#define BIGODD (Int)0x80000003 ++ ++static Unit uarrone[1]={1}; // Unit array of 1, used for incrementing ++ ++/* Granularity-dependent code */ ++#if DECDPUN<=4 ++ #define eInt Int // extended integer ++ #define ueInt uInt // unsigned extended integer ++ // Constant multipliers for divide-by-power-of five using reciprocal ++ // multiply, after removing powers of 2 by shifting, and final shift ++ // of 17 [we only need up to **4] ++ static const uInt multies[]={131073, 26215, 5243, 1049, 210}; ++ // QUOT10 -- macro to return the quotient of unit u divided by 10**n ++ #define QUOT10(u, n) ((((uInt)(u)>>(n))*multies[n])>>17) ++#else ++ // For DECDPUN>4 non-ANSI-89 64-bit types are needed. ++ #if !DECUSE64 ++ #error decNumber.c: DECUSE64 must be 1 when DECDPUN>4 ++ #endif ++ #define eInt Long // extended integer ++ #define ueInt uLong // unsigned extended integer ++#endif ++ ++/* Local routines */ ++static decNumber * decAddOp(decNumber *, const decNumber *, const decNumber *, ++ decContext *, uByte, uInt *); ++static Flag decBiStr(const char *, const char *, const char *); ++static uInt decCheckMath(const decNumber *, decContext *, uInt *); ++static void decApplyRound(decNumber *, decContext *, Int, uInt *); ++static Int decCompare(const decNumber *lhs, const decNumber *rhs, Flag); ++static decNumber * decCompareOp(decNumber *, const decNumber *, ++ const decNumber *, decContext *, ++ Flag, uInt *); ++static void decCopyFit(decNumber *, const decNumber *, decContext *, ++ Int *, uInt *); ++static decNumber * decDecap(decNumber *, Int); ++static decNumber * decDivideOp(decNumber *, const decNumber *, ++ const decNumber *, decContext *, Flag, uInt *); ++static decNumber * decExpOp(decNumber *, const decNumber *, ++ decContext *, uInt *); ++static void decFinalize(decNumber *, decContext *, Int *, uInt *); ++static Int decGetDigits(Unit *, Int); ++static Int decGetInt(const decNumber *); ++static decNumber * decLnOp(decNumber *, const decNumber *, ++ decContext *, uInt *); ++static decNumber * decMultiplyOp(decNumber *, const decNumber *, ++ const decNumber *, decContext *, ++ uInt *); ++static decNumber * decNaNs(decNumber *, const decNumber *, ++ const decNumber *, decContext *, uInt *); ++static decNumber * decQuantizeOp(decNumber *, const decNumber *, ++ const decNumber *, decContext *, Flag, ++ uInt *); ++static void decReverse(Unit *, Unit *); ++static void decSetCoeff(decNumber *, decContext *, const Unit *, ++ Int, Int *, uInt *); ++static void decSetMaxValue(decNumber *, decContext *); ++static void decSetOverflow(decNumber *, decContext *, uInt *); ++static void decSetSubnormal(decNumber *, decContext *, Int *, uInt *); ++static Int decShiftToLeast(Unit *, Int, Int); ++static Int decShiftToMost(Unit *, Int, Int); ++static void decStatus(decNumber *, uInt, decContext *); ++static void decToString(const decNumber *, char[], Flag); ++static decNumber * decTrim(decNumber *, decContext *, Flag, Flag, Int *); ++static Int decUnitAddSub(const Unit *, Int, const Unit *, Int, Int, ++ Unit *, Int); ++static Int decUnitCompare(const Unit *, Int, const Unit *, Int, Int); ++ ++#if !DECSUBSET ++/* decFinish == decFinalize when no subset arithmetic needed */ ++#define decFinish(a,b,c,d) decFinalize(a,b,c,d) ++#else ++static void decFinish(decNumber *, decContext *, Int *, uInt *); ++static decNumber * decRoundOperand(const decNumber *, decContext *, uInt *); ++#endif ++ ++/* Local macros */ ++// masked special-values bits ++#define SPECIALARG (rhs->bits & DECSPECIAL) ++#define SPECIALARGS ((lhs->bits | rhs->bits) & DECSPECIAL) ++ ++/* Diagnostic macros, etc. */ ++#if DECALLOC ++// Handle malloc/free accounting. If enabled, our accountable routines ++// are used; otherwise the code just goes straight to the system malloc ++// and free routines. ++#define malloc(a) decMalloc(a) ++#define free(a) decFree(a) ++#define DECFENCE 0x5a // corruption detector ++// 'Our' malloc and free: ++static void *decMalloc(size_t); ++static void decFree(void *); ++uInt decAllocBytes=0; // count of bytes allocated ++// Note that DECALLOC code only checks for storage buffer overflow. ++// To check for memory leaks, the decAllocBytes variable must be ++// checked to be 0 at appropriate times (e.g., after the test ++// harness completes a set of tests). This checking may be unreliable ++// if the testing is done in a multi-thread environment. ++#endif ++ ++#if DECCHECK ++// Optional checking routines. Enabling these means that decNumber ++// and decContext operands to operator routines are checked for ++// correctness. This roughly doubles the execution time of the ++// fastest routines (and adds 600+ bytes), so should not normally be ++// used in 'production'. ++// decCheckInexact is used to check that inexact results have a full ++// complement of digits (where appropriate -- this is not the case ++// for Quantize, for example) ++#define DECUNRESU ((decNumber *)(void *)0xffffffff) ++#define DECUNUSED ((const decNumber *)(void *)0xffffffff) ++#define DECUNCONT ((decContext *)(void *)(0xffffffff)) ++static Flag decCheckOperands(decNumber *, const decNumber *, ++ const decNumber *, decContext *); ++static Flag decCheckNumber(const decNumber *); ++static void decCheckInexact(const decNumber *, decContext *); ++#endif ++ ++#if DECTRACE || DECCHECK ++// Optional trace/debugging routines (may or may not be used) ++void decNumberShow(const decNumber *); // displays the components of a number ++static void decDumpAr(char, const Unit *, Int); ++#endif ++ ++/* ================================================================== */ ++/* Conversions */ ++/* ================================================================== */ ++ ++/* ------------------------------------------------------------------ */ ++/* from-int32 -- conversion from Int or uInt */ ++/* */ ++/* dn is the decNumber to receive the integer */ ++/* in or uin is the integer to be converted */ ++/* returns dn */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberFromInt32(decNumber *dn, Int in) { ++ uInt unsig; ++ if (in>=0) unsig=in; ++ else { // negative (possibly BADINT) ++ if (in==BADINT) unsig=(uInt)1073741824*2; // special case ++ else unsig=-in; // invert ++ } ++ // in is now positive ++ decNumberFromUInt32(dn, unsig); ++ if (in<0) dn->bits=DECNEG; // sign needed ++ return dn; ++ } // decNumberFromInt32 ++ ++decNumber * decNumberFromUInt32(decNumber *dn, uInt uin) { ++ Unit *up; // work pointer ++ decNumberZero(dn); // clean ++ if (uin==0) return dn; // [or decGetDigits bad call] ++ for (up=dn->lsu; uin>0; up++) { ++ *up=(Unit)(uin%(DECDPUNMAX+1)); ++ uin=uin/(DECDPUNMAX+1); ++ } ++ dn->digits=decGetDigits(dn->lsu, up-dn->lsu); ++ return dn; ++ } // decNumberFromUInt32 ++ ++/* ------------------------------------------------------------------ */ ++/* to-int32 -- conversion to Int or uInt */ ++/* */ ++/* dn is the decNumber to convert */ ++/* set is the context for reporting errors */ ++/* returns the converted decNumber, or 0 if Invalid is set */ ++/* */ ++/* Invalid is set if the decNumber does not have exponent==0 or if */ ++/* it is a NaN, Infinite, or out-of-range. */ ++/* ------------------------------------------------------------------ */ ++Int decNumberToInt32(const decNumber *dn, decContext *set) { ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0; ++ #endif ++ ++ // special or too many digits, or bad exponent ++ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0) ; // bad ++ else { // is a finite integer with 10 or fewer digits ++ Int d; // work ++ const Unit *up; // .. ++ uInt hi=0, lo; // .. ++ up=dn->lsu; // -> lsu ++ lo=*up; // get 1 to 9 digits ++ #if DECDPUN>1 // split to higher ++ hi=lo/10; ++ lo=lo%10; ++ #endif ++ up++; ++ // collect remaining Units, if any, into hi ++ for (d=DECDPUN; ddigits; up++, d+=DECDPUN) hi+=*up*powers[d-1]; ++ // now low has the lsd, hi the remainder ++ if (hi>214748364 || (hi==214748364 && lo>7)) { // out of range? ++ // most-negative is a reprieve ++ if (dn->bits&DECNEG && hi==214748364 && lo==8) return 0x80000000; ++ // bad -- drop through ++ } ++ else { // in-range always ++ Int i=X10(hi)+lo; ++ if (dn->bits&DECNEG) return -i; ++ return i; ++ } ++ } // integer ++ decContextSetStatus(set, DEC_Invalid_operation); // [may not return] ++ return 0; ++ } // decNumberToInt32 ++ ++uInt decNumberToUInt32(const decNumber *dn, decContext *set) { ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0; ++ #endif ++ // special or too many digits, or bad exponent, or negative (<0) ++ if (dn->bits&DECSPECIAL || dn->digits>10 || dn->exponent!=0 ++ || (dn->bits&DECNEG && !ISZERO(dn))); // bad ++ else { // is a finite integer with 10 or fewer digits ++ Int d; // work ++ const Unit *up; // .. ++ uInt hi=0, lo; // .. ++ up=dn->lsu; // -> lsu ++ lo=*up; // get 1 to 9 digits ++ #if DECDPUN>1 // split to higher ++ hi=lo/10; ++ lo=lo%10; ++ #endif ++ up++; ++ // collect remaining Units, if any, into hi ++ for (d=DECDPUN; ddigits; up++, d+=DECDPUN) hi+=*up*powers[d-1]; ++ ++ // now low has the lsd, hi the remainder ++ if (hi>429496729 || (hi==429496729 && lo>5)) ; // no reprieve possible ++ else return X10(hi)+lo; ++ } // integer ++ decContextSetStatus(set, DEC_Invalid_operation); // [may not return] ++ return 0; ++ } // decNumberToUInt32 ++ ++/* ------------------------------------------------------------------ */ ++/* to-scientific-string -- conversion to numeric string */ ++/* to-engineering-string -- conversion to numeric string */ ++/* */ ++/* decNumberToString(dn, string); */ ++/* decNumberToEngString(dn, string); */ ++/* */ ++/* dn is the decNumber to convert */ ++/* string is the string where the result will be laid out */ ++/* */ ++/* string must be at least dn->digits+14 characters long */ ++/* */ ++/* No error is possible, and no status can be set. */ ++/* ------------------------------------------------------------------ */ ++char * decNumberToString(const decNumber *dn, char *string){ ++ decToString(dn, string, 0); ++ return string; ++ } // DecNumberToString ++ ++char * decNumberToEngString(const decNumber *dn, char *string){ ++ decToString(dn, string, 1); ++ return string; ++ } // DecNumberToEngString ++ ++/* ------------------------------------------------------------------ */ ++/* to-number -- conversion from numeric string */ ++/* */ ++/* decNumberFromString -- convert string to decNumber */ ++/* dn -- the number structure to fill */ ++/* chars[] -- the string to convert ('\0' terminated) */ ++/* set -- the context used for processing any error, */ ++/* determining the maximum precision available */ ++/* (set.digits), determining the maximum and minimum */ ++/* exponent (set.emax and set.emin), determining if */ ++/* extended values are allowed, and checking the */ ++/* rounding mode if overflow occurs or rounding is */ ++/* needed. */ ++/* */ ++/* The length of the coefficient and the size of the exponent are */ ++/* checked by this routine, so the correct error (Underflow or */ ++/* Overflow) can be reported or rounding applied, as necessary. */ ++/* */ ++/* If bad syntax is detected, the result will be a quiet NaN. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberFromString(decNumber *dn, const char chars[], ++ decContext *set) { ++ Int exponent=0; // working exponent [assume 0] ++ uByte bits=0; // working flags [assume +ve] ++ Unit *res; // where result will be built ++ Unit resbuff[SD2U(DECBUFFER+9)];// local buffer in case need temporary ++ // [+9 allows for ln() constants] ++ Unit *allocres=NULL; // -> allocated result, iff allocated ++ Int d=0; // count of digits found in decimal part ++ const char *dotchar=NULL; // where dot was found ++ const char *cfirst=chars; // -> first character of decimal part ++ const char *last=NULL; // -> last digit of decimal part ++ const char *c; // work ++ Unit *up; // .. ++ #if DECDPUN>1 ++ Int cut, out; // .. ++ #endif ++ Int residue; // rounding residue ++ uInt status=0; // error code ++ ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, DECUNUSED, DECUNUSED, set)) ++ return decNumberZero(dn); ++ #endif ++ ++ do { // status & malloc protection ++ for (c=chars;; c++) { // -> input character ++ if (*c>='0' && *c<='9') { // test for Arabic digit ++ last=c; ++ d++; // count of real digits ++ continue; // still in decimal part ++ } ++ if (*c=='.' && dotchar==NULL) { // first '.' ++ dotchar=c; // record offset into decimal part ++ if (c==cfirst) cfirst++; // first digit must follow ++ continue;} ++ if (c==chars) { // first in string... ++ if (*c=='-') { // valid - sign ++ cfirst++; ++ bits=DECNEG; ++ continue;} ++ if (*c=='+') { // valid + sign ++ cfirst++; ++ continue;} ++ } ++ // *c is not a digit, or a valid +, -, or '.' ++ break; ++ } // c ++ ++ if (last==NULL) { // no digits yet ++ status=DEC_Conversion_syntax;// assume the worst ++ if (*c=='\0') break; // and no more to come... ++ #if DECSUBSET ++ // if subset then infinities and NaNs are not allowed ++ if (!set->extended) break; // hopeless ++ #endif ++ // Infinities and NaNs are possible, here ++ if (dotchar!=NULL) break; // .. unless had a dot ++ decNumberZero(dn); // be optimistic ++ if (decBiStr(c, "infinity", "INFINITY") ++ || decBiStr(c, "inf", "INF")) { ++ dn->bits=bits | DECINF; ++ status=0; // is OK ++ break; // all done ++ } ++ // a NaN expected ++ // 2003.09.10 NaNs are now permitted to have a sign ++ dn->bits=bits | DECNAN; // assume simple NaN ++ if (*c=='s' || *c=='S') { // looks like an sNaN ++ c++; ++ dn->bits=bits | DECSNAN; ++ } ++ if (*c!='n' && *c!='N') break; // check caseless "NaN" ++ c++; ++ if (*c!='a' && *c!='A') break; // .. ++ c++; ++ if (*c!='n' && *c!='N') break; // .. ++ c++; ++ // now either nothing, or nnnn payload, expected ++ // -> start of integer and skip leading 0s [including plain 0] ++ for (cfirst=c; *cfirst=='0';) cfirst++; ++ if (*cfirst=='\0') { // "NaN" or "sNaN", maybe with all 0s ++ status=0; // it's good ++ break; // .. ++ } ++ // something other than 0s; setup last and d as usual [no dots] ++ for (c=cfirst;; c++, d++) { ++ if (*c<'0' || *c>'9') break; // test for Arabic digit ++ last=c; ++ } ++ if (*c!='\0') break; // not all digits ++ if (d>set->digits-1) { ++ // [NB: payload in a decNumber can be full length unless ++ // clamped, in which case can only be digits-1] ++ if (set->clamp) break; ++ if (d>set->digits) break; ++ } // too many digits? ++ // good; drop through to convert the integer to coefficient ++ status=0; // syntax is OK ++ bits=dn->bits; // for copy-back ++ } // last==NULL ++ ++ else if (*c!='\0') { // more to process... ++ // had some digits; exponent is only valid sequence now ++ Flag nege; // 1=negative exponent ++ const char *firstexp; // -> first significant exponent digit ++ status=DEC_Conversion_syntax;// assume the worst ++ if (*c!='e' && *c!='E') break; ++ /* Found 'e' or 'E' -- now process explicit exponent */ ++ // 1998.07.11: sign no longer required ++ nege=0; ++ c++; // to (possible) sign ++ if (*c=='-') {nege=1; c++;} ++ else if (*c=='+') c++; ++ if (*c=='\0') break; ++ ++ for (; *c=='0' && *(c+1)!='\0';) c++; // strip insignificant zeros ++ firstexp=c; // save exponent digit place ++ for (; ;c++) { ++ if (*c<'0' || *c>'9') break; // not a digit ++ exponent=X10(exponent)+(Int)*c-(Int)'0'; ++ } // c ++ // if not now on a '\0', *c must not be a digit ++ if (*c!='\0') break; ++ ++ // (this next test must be after the syntax checks) ++ // if it was too long the exponent may have wrapped, so check ++ // carefully and set it to a certain overflow if wrap possible ++ if (c>=firstexp+9+1) { ++ if (c>firstexp+9+1 || *firstexp>'1') exponent=DECNUMMAXE*2; ++ // [up to 1999999999 is OK, for example 1E-1000000998] ++ } ++ if (nege) exponent=-exponent; // was negative ++ status=0; // is OK ++ } // stuff after digits ++ ++ // Here when whole string has been inspected; syntax is good ++ // cfirst->first digit (never dot), last->last digit (ditto) ++ ++ // strip leading zeros/dot [leave final 0 if all 0's] ++ if (*cfirst=='0') { // [cfirst has stepped over .] ++ for (c=cfirst; cextended) { ++ decNumberZero(dn); // clean result ++ break; // [could be return] ++ } ++ #endif ++ } // at least one leading 0 ++ ++ // Handle decimal point... ++ if (dotchar!=NULL && dotchardigits) res=dn->lsu; // fits into supplied decNumber ++ else { // rounding needed ++ Int needbytes=D2U(d)*sizeof(Unit);// bytes needed ++ res=resbuff; // assume use local buffer ++ if (needbytes>(Int)sizeof(resbuff)) { // too big for local ++ allocres=(Unit *)malloc(needbytes); ++ if (allocres==NULL) {status|=DEC_Insufficient_storage; break;} ++ res=allocres; ++ } ++ } ++ // res now -> number lsu, buffer, or allocated storage for Unit array ++ ++ // Place the coefficient into the selected Unit array ++ // [this is often 70% of the cost of this function when DECDPUN>1] ++ #if DECDPUN>1 ++ out=0; // accumulator ++ up=res+D2U(d)-1; // -> msu ++ cut=d-(up-res)*DECDPUN; // digits in top unit ++ for (c=cfirst;; c++) { // along the digits ++ if (*c=='.') continue; // ignore '.' [don't decrement cut] ++ out=X10(out)+(Int)*c-(Int)'0'; ++ if (c==last) break; // done [never get to trailing '.'] ++ cut--; ++ if (cut>0) continue; // more for this unit ++ *up=(Unit)out; // write unit ++ up--; // prepare for unit below.. ++ cut=DECDPUN; // .. ++ out=0; // .. ++ } // c ++ *up=(Unit)out; // write lsu ++ ++ #else ++ // DECDPUN==1 ++ up=res; // -> lsu ++ for (c=last; c>=cfirst; c--) { // over each character, from least ++ if (*c=='.') continue; // ignore . [don't step up] ++ *up=(Unit)((Int)*c-(Int)'0'); ++ up++; ++ } // c ++ #endif ++ ++ dn->bits=bits; ++ dn->exponent=exponent; ++ dn->digits=d; ++ ++ // if not in number (too long) shorten into the number ++ if (d>set->digits) { ++ residue=0; ++ decSetCoeff(dn, set, res, d, &residue, &status); ++ // always check for overflow or subnormal and round as needed ++ decFinalize(dn, set, &residue, &status); ++ } ++ else { // no rounding, but may still have overflow or subnormal ++ // [these tests are just for performance; finalize repeats them] ++ if ((dn->exponent-1emin-dn->digits) ++ || (dn->exponent-1>set->emax-set->digits)) { ++ residue=0; ++ decFinalize(dn, set, &residue, &status); ++ } ++ } ++ // decNumberShow(dn); ++ } while(0); // [for break] ++ ++ if (allocres!=NULL) free(allocres); // drop any storage used ++ if (status!=0) decStatus(dn, status, set); ++ return dn; ++ } /* decNumberFromString */ ++ ++/* ================================================================== */ ++/* Operators */ ++/* ================================================================== */ ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberAbs -- absolute value operator */ ++/* */ ++/* This computes C = abs(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* See also decNumberCopyAbs for a quiet bitwise version of this. */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++/* This has the same effect as decNumberPlus unless A is negative, */ ++/* in which case it has the same effect as decNumberMinus. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberAbs(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dzero; // for 0 ++ uInt status=0; // accumulator ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ decNumberZero(&dzero); // set 0 ++ dzero.exponent=rhs->exponent; // [no coefficient expansion] ++ decAddOp(res, &dzero, rhs, set, (uByte)(rhs->bits & DECNEG), &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberAbs ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberAdd -- add two Numbers */ ++/* */ ++/* This computes C = A + B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X+X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++/* This just calls the routine shared with Subtract */ ++decNumber * decNumberAdd(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decAddOp(res, lhs, rhs, set, 0, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberAdd ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberAnd -- AND two Numbers, digitwise */ ++/* */ ++/* This computes C = A & B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X&X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context (used for result length and error report) */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Logical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberAnd(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ const Unit *ua, *ub; // -> operands ++ const Unit *msua, *msub; // -> operand msus ++ Unit *uc, *msuc; // -> result and its msu ++ Int msudigs; // digits in res msu ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs) ++ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ ++ // operands are valid ++ ua=lhs->lsu; // bottom-up ++ ub=rhs->lsu; // .. ++ uc=res->lsu; // .. ++ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs ++ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs ++ msuc=uc+D2U(set->digits)-1; // -> msu of result ++ msudigs=MSUDIGITS(set->digits); // [faster than remainder] ++ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop ++ Unit a, b; // extract units ++ if (ua>msua) a=0; ++ else a=*ua; ++ if (ub>msub) b=0; ++ else b=*ub; ++ *uc=0; // can now write back ++ if (a|b) { // maybe 1 bits to examine ++ Int i, j; ++ *uc=0; // can now write back ++ // This loop could be unrolled and/or use BIN2BCD tables ++ for (i=0; i1) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ if (uc==msuc && i==msudigs-1) break; // just did final digit ++ } // each digit ++ } // both OK ++ } // each unit ++ // [here uc-1 is the msu of the result] ++ res->digits=decGetDigits(res->lsu, uc-res->lsu); ++ res->exponent=0; // integer ++ res->bits=0; // sign=0 ++ return res; // [no status to set] ++ } // decNumberAnd ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCompare -- compare two Numbers */ ++/* */ ++/* This computes C = A ? B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for one digit (or NaN). */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCompare(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPARE, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberCompare ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCompareSignal -- compare, signalling on all NaNs */ ++/* */ ++/* This computes C = A ? B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for one digit (or NaN). */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCompareSignal(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPSIG, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberCompareSignal ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCompareTotal -- compare two Numbers, using total ordering */ ++/* */ ++/* This computes C = A ? B, under total ordering */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for one digit; the result will always be one of */ ++/* -1, 0, or 1. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCompareTotal(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberCompareTotal ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCompareTotalMag -- compare, total ordering of magnitudes */ ++/* */ ++/* This computes C = |A| ? |B|, under total ordering */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for one digit; the result will always be one of */ ++/* -1, 0, or 1. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCompareTotalMag(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ uInt needbytes; // for space calculations ++ decNumber bufa[D2N(DECBUFFER+1)];// +1 in case DECBUFFER=0 ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber bufb[D2N(DECBUFFER+1)]; ++ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated ++ decNumber *a, *b; // temporary pointers ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ // if either is negative, take a copy and absolute ++ if (decNumberIsNegative(lhs)) { // lhs<0 ++ a=bufa; ++ needbytes=sizeof(decNumber)+(D2U(lhs->digits)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufa)) { // need malloc space ++ allocbufa=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ a=allocbufa; // use the allocated space ++ } ++ decNumberCopy(a, lhs); // copy content ++ a->bits&=~DECNEG; // .. and clear the sign ++ lhs=a; // use copy from here on ++ } ++ if (decNumberIsNegative(rhs)) { // rhs<0 ++ b=bufb; ++ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufb)) { // need malloc space ++ allocbufb=(decNumber *)malloc(needbytes); ++ if (allocbufb==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ b=allocbufb; // use the allocated space ++ } ++ decNumberCopy(b, rhs); // copy content ++ b->bits&=~DECNEG; // .. and clear the sign ++ rhs=b; // use copy from here on ++ } ++ decCompareOp(res, lhs, rhs, set, COMPTOTAL, &status); ++ } while(0); // end protected ++ ++ if (allocbufa!=NULL) free(allocbufa); // drop any storage used ++ if (allocbufb!=NULL) free(allocbufb); // .. ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberCompareTotalMag ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberDivide -- divide one number by another */ ++/* */ ++/* This computes C = A / B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X/X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberDivide(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decDivideOp(res, lhs, rhs, set, DIVIDE, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberDivide ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberDivideInteger -- divide and return integer quotient */ ++/* */ ++/* This computes C = A # B, where # is the integer divide operator */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X#X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberDivideInteger(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decDivideOp(res, lhs, rhs, set, DIVIDEINT, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberDivideInteger ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberExp -- exponentiation */ ++/* */ ++/* This computes C = exp(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Mathematical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* */ ++/* Finite results will always be full precision and Inexact, except */ ++/* when A is a zero or -Infinity (giving 1 or 0 respectively). */ ++/* */ ++/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* ------------------------------------------------------------------ */ ++/* This is a wrapper for decExpOp which can handle the slightly wider */ ++/* (double) range needed by Ln (which has to be able to calculate */ ++/* exp(-a) where a can be the tiniest number (Ntiny). */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberExp(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ uInt status=0; // accumulator ++ #if DECSUBSET ++ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated ++ #endif ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // Check restrictions; these restrictions ensure that if h=8 (see ++ // decExpOp) then the result will either overflow or underflow to 0. ++ // Other math functions restrict the input range, too, for inverses. ++ // If not violated then carry out the operation. ++ if (!decCheckMath(rhs, set, &status)) do { // protect allocation ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operand and set lostDigits status, as needed ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ decExpOp(res, rhs, set, &status); ++ } while(0); // end protected ++ ++ #if DECSUBSET ++ if (allocrhs !=NULL) free(allocrhs); // drop any storage used ++ #endif ++ // apply significant status ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberExp ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberFMA -- fused multiply add */ ++/* */ ++/* This computes D = (A * B) + C with only one rounding */ ++/* */ ++/* res is D, the result. D may be A or B or C (e.g., X=FMA(X,X,X)) */ ++/* lhs is A */ ++/* rhs is B */ ++/* fhs is C [far hand side] */ ++/* set is the context */ ++/* */ ++/* Mathematical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberFMA(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, const decNumber *fhs, ++ decContext *set) { ++ uInt status=0; // accumulator ++ decContext dcmul; // context for the multiplication ++ uInt needbytes; // for space calculations ++ decNumber bufa[D2N(DECBUFFER*2+1)]; ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber *acc; // accumulator pointer ++ decNumber dzero; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ if (decCheckOperands(res, fhs, DECUNUSED, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { // [undefined if subset] ++ status|=DEC_Invalid_operation; ++ break;} ++ #endif ++ // Check math restrictions [these ensure no overflow or underflow] ++ if ((!decNumberIsSpecial(lhs) && decCheckMath(lhs, set, &status)) ++ || (!decNumberIsSpecial(rhs) && decCheckMath(rhs, set, &status)) ++ || (!decNumberIsSpecial(fhs) && decCheckMath(fhs, set, &status))) break; ++ // set up context for multiply ++ dcmul=*set; ++ dcmul.digits=lhs->digits+rhs->digits; // just enough ++ // [The above may be an over-estimate for subset arithmetic, but that's OK] ++ dcmul.emax=DEC_MAX_EMAX; // effectively unbounded .. ++ dcmul.emin=DEC_MIN_EMIN; // [thanks to Math restrictions] ++ // set up decNumber space to receive the result of the multiply ++ acc=bufa; // may fit ++ needbytes=sizeof(decNumber)+(D2U(dcmul.digits)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufa)) { // need malloc space ++ allocbufa=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ acc=allocbufa; // use the allocated space ++ } ++ // multiply with extended range and necessary precision ++ //printf("emin=%ld\n", dcmul.emin); ++ decMultiplyOp(acc, lhs, rhs, &dcmul, &status); ++ // Only Invalid operation (from sNaN or Inf * 0) is possible in ++ // status; if either is seen than ignore fhs (in case it is ++ // another sNaN) and set acc to NaN unless we had an sNaN ++ // [decMultiplyOp leaves that to caller] ++ // Note sNaN has to go through addOp to shorten payload if ++ // necessary ++ if ((status&DEC_Invalid_operation)!=0) { ++ if (!(status&DEC_sNaN)) { // but be true invalid ++ decNumberZero(res); // acc not yet set ++ res->bits=DECNAN; ++ break; ++ } ++ decNumberZero(&dzero); // make 0 (any non-NaN would do) ++ fhs=&dzero; // use that ++ } ++ #if DECCHECK ++ else { // multiply was OK ++ if (status!=0) printf("Status=%08lx after FMA multiply\n", (LI)status); ++ } ++ #endif ++ // add the third operand and result -> res, and all is done ++ decAddOp(res, acc, fhs, set, 0, &status); ++ } while(0); // end protected ++ ++ if (allocbufa!=NULL) free(allocbufa); // drop any storage used ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberFMA ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberInvert -- invert a Number, digitwise */ ++/* */ ++/* This computes C = ~A */ ++/* */ ++/* res is C, the result. C may be A (e.g., X=~X) */ ++/* rhs is A */ ++/* set is the context (used for result length and error report) */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Logical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberInvert(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ const Unit *ua, *msua; // -> operand and its msu ++ Unit *uc, *msuc; // -> result and its msu ++ Int msudigs; // digits in res msu ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ if (rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ // operand is valid ++ ua=rhs->lsu; // bottom-up ++ uc=res->lsu; // .. ++ msua=ua+D2U(rhs->digits)-1; // -> msu of rhs ++ msuc=uc+D2U(set->digits)-1; // -> msu of result ++ msudigs=MSUDIGITS(set->digits); // [faster than remainder] ++ for (; uc<=msuc; ua++, uc++) { // Unit loop ++ Unit a; // extract unit ++ Int i, j; // work ++ if (ua>msua) a=0; ++ else a=*ua; ++ *uc=0; // can now write back ++ // always need to examine all bits in rhs ++ // This loop could be unrolled and/or use BIN2BCD tables ++ for (i=0; i1) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ if (uc==msuc && i==msudigs-1) break; // just did final digit ++ } // each digit ++ } // each unit ++ // [here uc-1 is the msu of the result] ++ res->digits=decGetDigits(res->lsu, uc-res->lsu); ++ res->exponent=0; // integer ++ res->bits=0; // sign=0 ++ return res; // [no status to set] ++ } // decNumberInvert ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberLn -- natural logarithm */ ++/* */ ++/* This computes C = ln(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Notable cases: */ ++/* A<0 -> Invalid */ ++/* A=0 -> -Infinity (Exact) */ ++/* A=+Infinity -> +Infinity (Exact) */ ++/* A=1 exactly -> 0 (Exact) */ ++/* */ ++/* Mathematical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* */ ++/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* ------------------------------------------------------------------ */ ++/* This is a wrapper for decLnOp which can handle the slightly wider */ ++/* (+11) range needed by Ln, Log10, etc. (which may have to be able */ ++/* to calculate at p+e+2). */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberLn(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ uInt status=0; // accumulator ++ #if DECSUBSET ++ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated ++ #endif ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // Check restrictions; this is a math function; if not violated ++ // then carry out the operation. ++ if (!decCheckMath(rhs, set, &status)) do { // protect allocation ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operand and set lostDigits status, as needed ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ // special check in subset for rhs=0 ++ if (ISZERO(rhs)) { // +/- zeros -> error ++ status|=DEC_Invalid_operation; ++ break;} ++ } // extended=0 ++ #endif ++ decLnOp(res, rhs, set, &status); ++ } while(0); // end protected ++ ++ #if DECSUBSET ++ if (allocrhs !=NULL) free(allocrhs); // drop any storage used ++ #endif ++ // apply significant status ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberLn ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberLogB - get adjusted exponent, by 754 rules */ ++/* */ ++/* This computes C = adjustedexponent(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context, used only for digits and status */ ++/* */ ++/* For an unrounded result, digits may need to be 10 (A might have */ ++/* 10**9 digits and an exponent of +999999999, or one digit and an */ ++/* exponent of -1999999999). */ ++/* */ ++/* This returns the adjusted exponent of A after (in theory) padding */ ++/* with zeros on the right to set->digits digits while keeping the */ ++/* same value. The exponent is not limited by emin/emax. */ ++/* */ ++/* Notable cases: */ ++/* A<0 -> Use |A| */ ++/* A=0 -> -Infinity (Division by zero) */ ++/* A=Infinite -> +Infinity (Exact) */ ++/* A=1 exactly -> 0 (Exact) */ ++/* NaNs are propagated as usual */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberLogB(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ uInt status=0; // accumulator ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // NaNs as usual; Infinities return +Infinity; 0->oops ++ if (decNumberIsNaN(rhs)) decNaNs(res, rhs, NULL, set, &status); ++ else if (decNumberIsInfinite(rhs)) decNumberCopyAbs(res, rhs); ++ else if (decNumberIsZero(rhs)) { ++ decNumberZero(res); // prepare for Infinity ++ res->bits=DECNEG|DECINF; // -Infinity ++ status|=DEC_Division_by_zero; // as per 754 ++ } ++ else { // finite non-zero ++ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent ++ if (set->digits>=10) decNumberFromInt32(res, ae); // lay it out ++ else { ++ decNumber buft[D2N(10)]; // temporary number ++ decNumber *t=buft; // .. ++ decNumberFromInt32(t, ae); // lay it out ++ decNumberPlus(res, t, set); // round as necessary ++ } ++ } ++ ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberLogB ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberLog10 -- logarithm in base 10 */ ++/* */ ++/* This computes C = log10(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Notable cases: */ ++/* A<0 -> Invalid */ ++/* A=0 -> -Infinity (Exact) */ ++/* A=+Infinity -> +Infinity (Exact) */ ++/* A=10**n (if n is an integer) -> n (Exact) */ ++/* */ ++/* Mathematical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* */ ++/* An Inexact result is rounded using DEC_ROUND_HALF_EVEN; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* ------------------------------------------------------------------ */ ++/* This calculates ln(A)/ln(10) using appropriate precision. For */ ++/* ln(A) this is the max(p, rhs->digits + t) + 3, where p is the */ ++/* requested digits and t is the number of digits in the exponent */ ++/* (maximum 6). For ln(10) it is p + 3; this is often handled by the */ ++/* fastpath in decLnOp. The final division is done to the requested */ ++/* precision. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberLog10(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ uInt status=0, ignore=0; // status accumulators ++ uInt needbytes; // for space calculations ++ Int p; // working precision ++ Int t; // digits in exponent of A ++ ++ // buffers for a and b working decimals ++ // (adjustment calculator, same size) ++ decNumber bufa[D2N(DECBUFFER+2)]; ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber *a=bufa; // temporary a ++ decNumber bufb[D2N(DECBUFFER+2)]; ++ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated ++ decNumber *b=bufb; // temporary b ++ decNumber bufw[D2N(10)]; // working 2-10 digit number ++ decNumber *w=bufw; // .. ++ #if DECSUBSET ++ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated ++ #endif ++ ++ decContext aset; // working context ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // Check restrictions; this is a math function; if not violated ++ // then carry out the operation. ++ if (!decCheckMath(rhs, set, &status)) do { // protect malloc ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operand and set lostDigits status, as needed ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ // special check in subset for rhs=0 ++ if (ISZERO(rhs)) { // +/- zeros -> error ++ status|=DEC_Invalid_operation; ++ break;} ++ } // extended=0 ++ #endif ++ ++ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context ++ ++ // handle exact powers of 10; only check if +ve finite ++ if (!(rhs->bits&(DECNEG|DECSPECIAL)) && !ISZERO(rhs)) { ++ Int residue=0; // (no residue) ++ uInt copystat=0; // clean status ++ ++ // round to a single digit... ++ aset.digits=1; ++ decCopyFit(w, rhs, &aset, &residue, ©stat); // copy & shorten ++ // if exact and the digit is 1, rhs is a power of 10 ++ if (!(copystat&DEC_Inexact) && w->lsu[0]==1) { ++ // the exponent, conveniently, is the power of 10; making ++ // this the result needs a little care as it might not fit, ++ // so first convert it into the working number, and then move ++ // to res ++ decNumberFromInt32(w, w->exponent); ++ residue=0; ++ decCopyFit(res, w, set, &residue, &status); // copy & round ++ decFinish(res, set, &residue, &status); // cleanup/set flags ++ break; ++ } // not a power of 10 ++ } // not a candidate for exact ++ ++ // simplify the information-content calculation to use 'total ++ // number of digits in a, including exponent' as compared to the ++ // requested digits, as increasing this will only rarely cost an ++ // iteration in ln(a) anyway ++ t=6; // it can never be >6 ++ ++ // allocate space when needed... ++ p=(rhs->digits+t>set->digits?rhs->digits+t:set->digits)+3; ++ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufa)) { // need malloc space ++ allocbufa=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ a=allocbufa; // use the allocated space ++ } ++ aset.digits=p; // as calculated ++ aset.emax=DEC_MAX_MATH; // usual bounds ++ aset.emin=-DEC_MAX_MATH; // .. ++ aset.clamp=0; // and no concrete format ++ decLnOp(a, rhs, &aset, &status); // a=ln(rhs) ++ ++ // skip the division if the result so far is infinite, NaN, or ++ // zero, or there was an error; note NaN from sNaN needs copy ++ if (status&DEC_NaNs && !(status&DEC_sNaN)) break; ++ if (a->bits&DECSPECIAL || ISZERO(a)) { ++ decNumberCopy(res, a); // [will fit] ++ break;} ++ ++ // for ln(10) an extra 3 digits of precision are needed ++ p=set->digits+3; ++ needbytes=sizeof(decNumber)+(D2U(p)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufb)) { // need malloc space ++ allocbufb=(decNumber *)malloc(needbytes); ++ if (allocbufb==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ b=allocbufb; // use the allocated space ++ } ++ decNumberZero(w); // set up 10... ++ #if DECDPUN==1 ++ w->lsu[1]=1; w->lsu[0]=0; // .. ++ #else ++ w->lsu[0]=10; // .. ++ #endif ++ w->digits=2; // .. ++ ++ aset.digits=p; ++ decLnOp(b, w, &aset, &ignore); // b=ln(10) ++ ++ aset.digits=set->digits; // for final divide ++ decDivideOp(res, a, b, &aset, DIVIDE, &status); // into result ++ } while(0); // [for break] ++ ++ if (allocbufa!=NULL) free(allocbufa); // drop any storage used ++ if (allocbufb!=NULL) free(allocbufb); // .. ++ #if DECSUBSET ++ if (allocrhs !=NULL) free(allocrhs); // .. ++ #endif ++ // apply significant status ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberLog10 ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMax -- compare two Numbers and return the maximum */ ++/* */ ++/* This computes C = A ? B, returning the maximum by 754 rules */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMax(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPMAX, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMax ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMaxMag -- compare and return the maximum by magnitude */ ++/* */ ++/* This computes C = A ? B, returning the maximum by 754 rules */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMaxMag(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPMAXMAG, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMaxMag ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMin -- compare two Numbers and return the minimum */ ++/* */ ++/* This computes C = A ? B, returning the minimum by 754 rules */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMin(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPMIN, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMin ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMinMag -- compare and return the minimum by magnitude */ ++/* */ ++/* This computes C = A ? B, returning the minimum by 754 rules */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMinMag(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decCompareOp(res, lhs, rhs, set, COMPMINMAG, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMinMag ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMinus -- prefix minus operator */ ++/* */ ++/* This computes C = 0 - A */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* See also decNumberCopyNegate for a quiet bitwise version of this. */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++/* Simply use AddOp for the subtract, which will do the necessary. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMinus(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dzero; ++ uInt status=0; // accumulator ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ decNumberZero(&dzero); // make 0 ++ dzero.exponent=rhs->exponent; // [no coefficient expansion] ++ decAddOp(res, &dzero, rhs, set, DECNEG, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMinus ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberNextMinus -- next towards -Infinity */ ++/* */ ++/* This computes C = A - infinitesimal, rounded towards -Infinity */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* This is a generalization of 754 NextDown. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberNextMinus(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dtiny; // constant ++ decContext workset=*set; // work ++ uInt status=0; // accumulator ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // +Infinity is the special case ++ if ((rhs->bits&(DECINF|DECNEG))==DECINF) { ++ decSetMaxValue(res, set); // is +ve ++ // there is no status to set ++ return res; ++ } ++ decNumberZero(&dtiny); // start with 0 ++ dtiny.lsu[0]=1; // make number that is .. ++ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest ++ workset.round=DEC_ROUND_FLOOR; ++ decAddOp(res, rhs, &dtiny, &workset, DECNEG, &status); ++ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberNextMinus ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberNextPlus -- next towards +Infinity */ ++/* */ ++/* This computes C = A + infinitesimal, rounded towards +Infinity */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* This is a generalization of 754 NextUp. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberNextPlus(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dtiny; // constant ++ decContext workset=*set; // work ++ uInt status=0; // accumulator ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // -Infinity is the special case ++ if ((rhs->bits&(DECINF|DECNEG))==(DECINF|DECNEG)) { ++ decSetMaxValue(res, set); ++ res->bits=DECNEG; // negative ++ // there is no status to set ++ return res; ++ } ++ decNumberZero(&dtiny); // start with 0 ++ dtiny.lsu[0]=1; // make number that is .. ++ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest ++ workset.round=DEC_ROUND_CEILING; ++ decAddOp(res, rhs, &dtiny, &workset, 0, &status); ++ status&=DEC_Invalid_operation|DEC_sNaN; // only sNaN Invalid please ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberNextPlus ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberNextToward -- next towards rhs */ ++/* */ ++/* This computes C = A +/- infinitesimal, rounded towards */ ++/* +/-Infinity in the direction of B, as per 754-1985 nextafter */ ++/* modified during revision but dropped from 754-2008. */ ++/* */ ++/* res is C, the result. C may be A or B. */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* This is a generalization of 754-1985 NextAfter. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberNextToward(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ decNumber dtiny; // constant ++ decContext workset=*set; // work ++ Int result; // .. ++ uInt status=0; // accumulator ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) { ++ decNaNs(res, lhs, rhs, set, &status); ++ } ++ else { // Is numeric, so no chance of sNaN Invalid, etc. ++ result=decCompare(lhs, rhs, 0); // sign matters ++ if (result==BADINT) status|=DEC_Insufficient_storage; // rare ++ else { // valid compare ++ if (result==0) decNumberCopySign(res, lhs, rhs); // easy ++ else { // differ: need NextPlus or NextMinus ++ uByte sub; // add or subtract ++ if (result<0) { // lhsbits&(DECINF|DECNEG))==(DECINF|DECNEG)) { ++ decSetMaxValue(res, set); ++ res->bits=DECNEG; // negative ++ return res; // there is no status to set ++ } ++ workset.round=DEC_ROUND_CEILING; ++ sub=0; // add, please ++ } // plus ++ else { // lhs>rhs, do nextminus ++ // +Infinity is the special case ++ if ((lhs->bits&(DECINF|DECNEG))==DECINF) { ++ decSetMaxValue(res, set); ++ return res; // there is no status to set ++ } ++ workset.round=DEC_ROUND_FLOOR; ++ sub=DECNEG; // subtract, please ++ } // minus ++ decNumberZero(&dtiny); // start with 0 ++ dtiny.lsu[0]=1; // make number that is .. ++ dtiny.exponent=DEC_MIN_EMIN-1; // .. smaller than tiniest ++ decAddOp(res, lhs, &dtiny, &workset, sub, &status); // + or - ++ // turn off exceptions if the result is a normal number ++ // (including Nmin), otherwise let all status through ++ if (decNumberIsNormal(res, set)) status=0; ++ } // unequal ++ } // compare OK ++ } // numeric ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberNextToward ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberOr -- OR two Numbers, digitwise */ ++/* */ ++/* This computes C = A | B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X|X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context (used for result length and error report) */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Logical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberOr(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ const Unit *ua, *ub; // -> operands ++ const Unit *msua, *msub; // -> operand msus ++ Unit *uc, *msuc; // -> result and its msu ++ Int msudigs; // digits in res msu ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs) ++ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ // operands are valid ++ ua=lhs->lsu; // bottom-up ++ ub=rhs->lsu; // .. ++ uc=res->lsu; // .. ++ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs ++ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs ++ msuc=uc+D2U(set->digits)-1; // -> msu of result ++ msudigs=MSUDIGITS(set->digits); // [faster than remainder] ++ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop ++ Unit a, b; // extract units ++ if (ua>msua) a=0; ++ else a=*ua; ++ if (ub>msub) b=0; ++ else b=*ub; ++ *uc=0; // can now write back ++ if (a|b) { // maybe 1 bits to examine ++ Int i, j; ++ // This loop could be unrolled and/or use BIN2BCD tables ++ for (i=0; i1) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ if (uc==msuc && i==msudigs-1) break; // just did final digit ++ } // each digit ++ } // non-zero ++ } // each unit ++ // [here uc-1 is the msu of the result] ++ res->digits=decGetDigits(res->lsu, uc-res->lsu); ++ res->exponent=0; // integer ++ res->bits=0; // sign=0 ++ return res; // [no status to set] ++ } // decNumberOr ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberPlus -- prefix plus operator */ ++/* */ ++/* This computes C = 0 + A */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* See also decNumberCopy for a quiet bitwise version of this. */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++/* This simply uses AddOp; Add will take fast path after preparing A. */ ++/* Performance is a concern here, as this routine is often used to */ ++/* check operands and apply rounding and overflow/underflow testing. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberPlus(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dzero; ++ uInt status=0; // accumulator ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ decNumberZero(&dzero); // make 0 ++ dzero.exponent=rhs->exponent; // [no coefficient expansion] ++ decAddOp(res, &dzero, rhs, set, 0, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberPlus ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberMultiply -- multiply two Numbers */ ++/* */ ++/* This computes C = A x B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X+X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberMultiply(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decMultiplyOp(res, lhs, rhs, set, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberMultiply ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberPower -- raise a number to a power */ ++/* */ ++/* This computes C = A ** B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X**X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Mathematical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* */ ++/* However, if 1999999997<=B<=999999999 and B is an integer then the */ ++/* restrictions on A and the context are relaxed to the usual bounds, */ ++/* for compatibility with the earlier (integer power only) version */ ++/* of this function. */ ++/* */ ++/* When B is an integer, the result may be exact, even if rounded. */ ++/* */ ++/* The final result is rounded according to the context; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberPower(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated ++ decNumber *allocrhs=NULL; // .., rhs ++ #endif ++ decNumber *allocdac=NULL; // -> allocated acc buffer, iff used ++ decNumber *allocinv=NULL; // -> allocated 1/x buffer, iff used ++ Int reqdigits=set->digits; // requested DIGITS ++ Int n; // rhs in binary ++ Flag rhsint=0; // 1 if rhs is an integer ++ Flag useint=0; // 1 if can use integer calculation ++ Flag isoddint=0; // 1 if rhs is an integer and odd ++ Int i; // work ++ #if DECSUBSET ++ Int dropped; // .. ++ #endif ++ uInt needbytes; // buffer size needed ++ Flag seenbit; // seen a bit while powering ++ Int residue=0; // rounding residue ++ uInt status=0; // accumulators ++ uByte bits=0; // result sign if errors ++ decContext aset; // working context ++ decNumber dnOne; // work value 1... ++ // local accumulator buffer [a decNumber, with digits+elength+1 digits] ++ decNumber dacbuff[D2N(DECBUFFER+9)]; ++ decNumber *dac=dacbuff; // -> result accumulator ++ // same again for possible 1/lhs calculation ++ decNumber invbuff[D2N(DECBUFFER+9)]; ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { // reduce operands and set status, as needed ++ if (lhs->digits>reqdigits) { ++ alloclhs=decRoundOperand(lhs, set, &status); ++ if (alloclhs==NULL) break; ++ lhs=alloclhs; ++ } ++ if (rhs->digits>reqdigits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // handle NaNs and rhs Infinity (lhs infinity is harder) ++ if (SPECIALARGS) { ++ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) { // NaNs ++ decNaNs(res, lhs, rhs, set, &status); ++ break;} ++ if (decNumberIsInfinite(rhs)) { // rhs Infinity ++ Flag rhsneg=rhs->bits&DECNEG; // save rhs sign ++ if (decNumberIsNegative(lhs) // lhs<0 ++ && !decNumberIsZero(lhs)) // .. ++ status|=DEC_Invalid_operation; ++ else { // lhs >=0 ++ decNumberZero(&dnOne); // set up 1 ++ dnOne.lsu[0]=1; ++ decNumberCompare(dac, lhs, &dnOne, set); // lhs ? 1 ++ decNumberZero(res); // prepare for 0/1/Infinity ++ if (decNumberIsNegative(dac)) { // lhs<1 ++ if (rhsneg) res->bits|=DECINF; // +Infinity [else is +0] ++ } ++ else if (dac->lsu[0]==0) { // lhs=1 ++ // 1**Infinity is inexact, so return fully-padded 1.0000 ++ Int shift=set->digits-1; ++ *res->lsu=1; // was 0, make int 1 ++ res->digits=decShiftToMost(res->lsu, 1, shift); ++ res->exponent=-shift; // make 1.0000... ++ status|=DEC_Inexact|DEC_Rounded; // deemed inexact ++ } ++ else { // lhs>1 ++ if (!rhsneg) res->bits|=DECINF; // +Infinity [else is +0] ++ } ++ } // lhs>=0 ++ break;} ++ // [lhs infinity drops through] ++ } // specials ++ ++ // Original rhs may be an integer that fits and is in range ++ n=decGetInt(rhs); ++ if (n!=BADINT) { // it is an integer ++ rhsint=1; // record the fact for 1**n ++ isoddint=(Flag)n&1; // [works even if big] ++ if (n!=BIGEVEN && n!=BIGODD) // can use integer path? ++ useint=1; // looks good ++ } ++ ++ if (decNumberIsNegative(lhs) // -x .. ++ && isoddint) bits=DECNEG; // .. to an odd power ++ ++ // handle LHS infinity ++ if (decNumberIsInfinite(lhs)) { // [NaNs already handled] ++ uByte rbits=rhs->bits; // save ++ decNumberZero(res); // prepare ++ if (n==0) *res->lsu=1; // [-]Inf**0 => 1 ++ else { ++ // -Inf**nonint -> error ++ if (!rhsint && decNumberIsNegative(lhs)) { ++ status|=DEC_Invalid_operation; // -Inf**nonint is error ++ break;} ++ if (!(rbits & DECNEG)) bits|=DECINF; // was not a **-n ++ // [otherwise will be 0 or -0] ++ res->bits=bits; ++ } ++ break;} ++ ++ // similarly handle LHS zero ++ if (decNumberIsZero(lhs)) { ++ if (n==0) { // 0**0 => Error ++ #if DECSUBSET ++ if (!set->extended) { // [unless subset] ++ decNumberZero(res); ++ *res->lsu=1; // return 1 ++ break;} ++ #endif ++ status|=DEC_Invalid_operation; ++ } ++ else { // 0**x ++ uByte rbits=rhs->bits; // save ++ if (rbits & DECNEG) { // was a 0**(-n) ++ #if DECSUBSET ++ if (!set->extended) { // [bad if subset] ++ status|=DEC_Invalid_operation; ++ break;} ++ #endif ++ bits|=DECINF; ++ } ++ decNumberZero(res); // prepare ++ // [otherwise will be 0 or -0] ++ res->bits=bits; ++ } ++ break;} ++ ++ // here both lhs and rhs are finite; rhs==0 is handled in the ++ // integer path. Next handle the non-integer cases ++ if (!useint) { // non-integral rhs ++ // any -ve lhs is bad, as is either operand or context out of ++ // bounds ++ if (decNumberIsNegative(lhs)) { ++ status|=DEC_Invalid_operation; ++ break;} ++ if (decCheckMath(lhs, set, &status) ++ || decCheckMath(rhs, set, &status)) break; // variable status ++ ++ decContextDefault(&aset, DEC_INIT_DECIMAL64); // clean context ++ aset.emax=DEC_MAX_MATH; // usual bounds ++ aset.emin=-DEC_MAX_MATH; // .. ++ aset.clamp=0; // and no concrete format ++ ++ // calculate the result using exp(ln(lhs)*rhs), which can ++ // all be done into the accumulator, dac. The precision needed ++ // is enough to contain the full information in the lhs (which ++ // is the total digits, including exponent), or the requested ++ // precision, if larger, + 4; 6 is used for the exponent ++ // maximum length, and this is also used when it is shorter ++ // than the requested digits as it greatly reduces the >0.5 ulp ++ // cases at little cost (because Ln doubles digits each ++ // iteration so a few extra digits rarely causes an extra ++ // iteration) ++ aset.digits=MAXI(lhs->digits, set->digits)+6+4; ++ } // non-integer rhs ++ ++ else { // rhs is in-range integer ++ if (n==0) { // x**0 = 1 ++ // (0**0 was handled above) ++ decNumberZero(res); // result=1 ++ *res->lsu=1; // .. ++ break;} ++ // rhs is a non-zero integer ++ if (n<0) n=-n; // use abs(n) ++ ++ aset=*set; // clone the context ++ aset.round=DEC_ROUND_HALF_EVEN; // internally use balanced ++ // calculate the working DIGITS ++ aset.digits=reqdigits+(rhs->digits+rhs->exponent)+2; ++ #if DECSUBSET ++ if (!set->extended) aset.digits--; // use classic precision ++ #endif ++ // it's an error if this is more than can be handled ++ if (aset.digits>DECNUMMAXP) {status|=DEC_Invalid_operation; break;} ++ } // integer path ++ ++ // aset.digits is the count of digits for the accumulator needed ++ // if accumulator is too long for local storage, then allocate ++ needbytes=sizeof(decNumber)+(D2U(aset.digits)-1)*sizeof(Unit); ++ // [needbytes also used below if 1/lhs needed] ++ if (needbytes>sizeof(dacbuff)) { ++ allocdac=(decNumber *)malloc(needbytes); ++ if (allocdac==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ dac=allocdac; // use the allocated space ++ } ++ // here, aset is set up and accumulator is ready for use ++ ++ if (!useint) { // non-integral rhs ++ // x ** y; special-case x=1 here as it will otherwise always ++ // reduce to integer 1; decLnOp has a fastpath which detects ++ // the case of x=1 ++ decLnOp(dac, lhs, &aset, &status); // dac=ln(lhs) ++ // [no error possible, as lhs 0 already handled] ++ if (ISZERO(dac)) { // x==1, 1.0, etc. ++ // need to return fully-padded 1.0000 etc., but rhsint->1 ++ *dac->lsu=1; // was 0, make int 1 ++ if (!rhsint) { // add padding ++ Int shift=set->digits-1; ++ dac->digits=decShiftToMost(dac->lsu, 1, shift); ++ dac->exponent=-shift; // make 1.0000... ++ status|=DEC_Inexact|DEC_Rounded; // deemed inexact ++ } ++ } ++ else { ++ decMultiplyOp(dac, dac, rhs, &aset, &status); // dac=dac*rhs ++ decExpOp(dac, dac, &aset, &status); // dac=exp(dac) ++ } ++ // and drop through for final rounding ++ } // non-integer rhs ++ ++ else { // carry on with integer ++ decNumberZero(dac); // acc=1 ++ *dac->lsu=1; // .. ++ ++ // if a negative power the constant 1 is needed, and if not subset ++ // invert the lhs now rather than inverting the result later ++ if (decNumberIsNegative(rhs)) { // was a **-n [hence digits>0] ++ decNumber *inv=invbuff; // asssume use fixed buffer ++ decNumberCopy(&dnOne, dac); // dnOne=1; [needed now or later] ++ #if DECSUBSET ++ if (set->extended) { // need to calculate 1/lhs ++ #endif ++ // divide lhs into 1, putting result in dac [dac=1/dac] ++ decDivideOp(dac, &dnOne, lhs, &aset, DIVIDE, &status); ++ // now locate or allocate space for the inverted lhs ++ if (needbytes>sizeof(invbuff)) { ++ allocinv=(decNumber *)malloc(needbytes); ++ if (allocinv==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ inv=allocinv; // use the allocated space ++ } ++ // [inv now points to big-enough buffer or allocated storage] ++ decNumberCopy(inv, dac); // copy the 1/lhs ++ decNumberCopy(dac, &dnOne); // restore acc=1 ++ lhs=inv; // .. and go forward with new lhs ++ #if DECSUBSET ++ } ++ #endif ++ } ++ ++ // Raise-to-the-power loop... ++ seenbit=0; // set once a 1-bit is encountered ++ for (i=1;;i++){ // for each bit [top bit ignored] ++ // abandon if had overflow or terminal underflow ++ if (status & (DEC_Overflow|DEC_Underflow)) { // interesting? ++ if (status&DEC_Overflow || ISZERO(dac)) break; ++ } ++ // [the following two lines revealed an optimizer bug in a C++ ++ // compiler, with symptom: 5**3 -> 25, when n=n+n was used] ++ n=n<<1; // move next bit to testable position ++ if (n<0) { // top bit is set ++ seenbit=1; // OK, significant bit seen ++ decMultiplyOp(dac, dac, lhs, &aset, &status); // dac=dac*x ++ } ++ if (i==31) break; // that was the last bit ++ if (!seenbit) continue; // no need to square 1 ++ decMultiplyOp(dac, dac, dac, &aset, &status); // dac=dac*dac [square] ++ } /*i*/ // 32 bits ++ ++ // complete internal overflow or underflow processing ++ if (status & (DEC_Overflow|DEC_Underflow)) { ++ #if DECSUBSET ++ // If subset, and power was negative, reverse the kind of -erflow ++ // [1/x not yet done] ++ if (!set->extended && decNumberIsNegative(rhs)) { ++ if (status & DEC_Overflow) ++ status^=DEC_Overflow | DEC_Underflow | DEC_Subnormal; ++ else { // trickier -- Underflow may or may not be set ++ status&=~(DEC_Underflow | DEC_Subnormal); // [one or both] ++ status|=DEC_Overflow; ++ } ++ } ++ #endif ++ dac->bits=(dac->bits & ~DECNEG) | bits; // force correct sign ++ // round subnormals [to set.digits rather than aset.digits] ++ // or set overflow result similarly as required ++ decFinalize(dac, set, &residue, &status); ++ decNumberCopy(res, dac); // copy to result (is now OK length) ++ break; ++ } ++ ++ #if DECSUBSET ++ if (!set->extended && // subset math ++ decNumberIsNegative(rhs)) { // was a **-n [hence digits>0] ++ // so divide result into 1 [dac=1/dac] ++ decDivideOp(dac, &dnOne, dac, &aset, DIVIDE, &status); ++ } ++ #endif ++ } // rhs integer path ++ ++ // reduce result to the requested length and copy to result ++ decCopyFit(res, dac, set, &residue, &status); ++ decFinish(res, set, &residue, &status); // final cleanup ++ #if DECSUBSET ++ if (!set->extended) decTrim(res, set, 0, 1, &dropped); // trailing zeros ++ #endif ++ } while(0); // end protected ++ ++ if (allocdac!=NULL) free(allocdac); // drop any storage used ++ if (allocinv!=NULL) free(allocinv); // .. ++ #if DECSUBSET ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ if (allocrhs!=NULL) free(allocrhs); // .. ++ #endif ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberPower ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberQuantize -- force exponent to requested value */ ++/* */ ++/* This computes C = op(A, B), where op adjusts the coefficient */ ++/* of C (by rounding or shifting) such that the exponent (-scale) */ ++/* of C has exponent of B. The numerical value of C will equal A, */ ++/* except for the effects of any rounding that occurred. */ ++/* */ ++/* res is C, the result. C may be A or B */ ++/* lhs is A, the number to adjust */ ++/* rhs is B, the number with exponent to match */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Unless there is an error or the result is infinite, the exponent */ ++/* after the operation is guaranteed to be equal to that of B. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberQuantize(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decQuantizeOp(res, lhs, rhs, set, 1, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberQuantize ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberReduce -- remove trailing zeros */ ++/* */ ++/* This computes C = 0 + A, and normalizes the result */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++// Previously known as Normalize ++decNumber * decNumberNormalize(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ return decNumberReduce(res, rhs, set); ++ } // decNumberNormalize ++ ++decNumber * decNumberReduce(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ #if DECSUBSET ++ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated ++ #endif ++ uInt status=0; // as usual ++ Int residue=0; // as usual ++ Int dropped; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operand and set lostDigits status, as needed ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // Infinities copy through; NaNs need usual treatment ++ if (decNumberIsNaN(rhs)) { ++ decNaNs(res, rhs, NULL, set, &status); ++ break; ++ } ++ ++ // reduce result to the requested length and copy to result ++ decCopyFit(res, rhs, set, &residue, &status); // copy & round ++ decFinish(res, set, &residue, &status); // cleanup/set flags ++ decTrim(res, set, 1, 0, &dropped); // normalize in place ++ // [may clamp] ++ } while(0); // end protected ++ ++ #if DECSUBSET ++ if (allocrhs !=NULL) free(allocrhs); // .. ++ #endif ++ if (status!=0) decStatus(res, status, set);// then report status ++ return res; ++ } // decNumberReduce ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberRescale -- force exponent to requested value */ ++/* */ ++/* This computes C = op(A, B), where op adjusts the coefficient */ ++/* of C (by rounding or shifting) such that the exponent (-scale) */ ++/* of C has the value B. The numerical value of C will equal A, */ ++/* except for the effects of any rounding that occurred. */ ++/* */ ++/* res is C, the result. C may be A or B */ ++/* lhs is A, the number to adjust */ ++/* rhs is B, the requested exponent */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Unless there is an error or the result is infinite, the exponent */ ++/* after the operation is guaranteed to be equal to B. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberRescale(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decQuantizeOp(res, lhs, rhs, set, 0, &status); ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberRescale ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberRemainder -- divide and return remainder */ ++/* */ ++/* This computes C = A % B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X%X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberRemainder(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decDivideOp(res, lhs, rhs, set, REMAINDER, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberRemainder ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberRemainderNear -- divide and return remainder from nearest */ ++/* */ ++/* This computes C = A % B, where % is the IEEE remainder operator */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X%X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberRemainderNear(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ decDivideOp(res, lhs, rhs, set, REMNEAR, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberRemainderNear ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberRotate -- rotate the coefficient of a Number left/right */ ++/* */ ++/* This computes C = A rot B (in base ten and rotating set->digits */ ++/* digits). */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=XrotX) */ ++/* lhs is A */ ++/* rhs is B, the number of digits to rotate (-ve to right) */ ++/* set is the context */ ++/* */ ++/* The digits of the coefficient of A are rotated to the left (if B */ ++/* is positive) or to the right (if B is negative) without adjusting */ ++/* the exponent or the sign of A. If lhs->digits is less than */ ++/* set->digits the coefficient is padded with zeros on the left */ ++/* before the rotate. Any leading zeros in the result are removed */ ++/* as usual. */ ++/* */ ++/* B must be an integer (q=0) and in the range -set->digits through */ ++/* +set->digits. */ ++/* C must have space for set->digits digits. */ ++/* NaNs are propagated as usual. Infinities are unaffected (but */ ++/* B must be valid). No status is set unless B is invalid or an */ ++/* operand is an sNaN. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberRotate(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ Int rotate; // rhs as an Int ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ // NaNs propagate as normal ++ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) ++ decNaNs(res, lhs, rhs, set, &status); ++ // rhs must be an integer ++ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0) ++ status=DEC_Invalid_operation; ++ else { // both numeric, rhs is an integer ++ rotate=decGetInt(rhs); // [cannot fail] ++ if (rotate==BADINT // something bad .. ++ || rotate==BIGODD || rotate==BIGEVEN // .. very big .. ++ || abs(rotate)>set->digits) // .. or out of range ++ status=DEC_Invalid_operation; ++ else { // rhs is OK ++ decNumberCopy(res, lhs); ++ // convert -ve rotate to equivalent positive rotation ++ if (rotate<0) rotate=set->digits+rotate; ++ if (rotate!=0 && rotate!=set->digits // zero or full rotation ++ && !decNumberIsInfinite(res)) { // lhs was infinite ++ // left-rotate to do; 0 < rotate < set->digits ++ uInt units, shift; // work ++ uInt msudigits; // digits in result msu ++ Unit *msu=res->lsu+D2U(res->digits)-1; // current msu ++ Unit *msumax=res->lsu+D2U(set->digits)-1; // rotation msu ++ for (msu++; msu<=msumax; msu++) *msu=0; // ensure high units=0 ++ res->digits=set->digits; // now full-length ++ msudigits=MSUDIGITS(res->digits); // actual digits in msu ++ ++ // rotation here is done in-place, in three steps ++ // 1. shift all to least up to one unit to unit-align final ++ // lsd [any digits shifted out are rotated to the left, ++ // abutted to the original msd (which may require split)] ++ // ++ // [if there are no whole units left to rotate, the ++ // rotation is now complete] ++ // ++ // 2. shift to least, from below the split point only, so that ++ // the final msd is in the right place in its Unit [any ++ // digits shifted out will fit exactly in the current msu, ++ // left aligned, no split required] ++ // ++ // 3. rotate all the units by reversing left part, right ++ // part, and then whole ++ // ++ // example: rotate right 8 digits (2 units + 2), DECDPUN=3. ++ // ++ // start: 00a bcd efg hij klm npq ++ // ++ // 1a 000 0ab cde fgh|ijk lmn [pq saved] ++ // 1b 00p qab cde fgh|ijk lmn ++ // ++ // 2a 00p qab cde fgh|00i jkl [mn saved] ++ // 2b mnp qab cde fgh|00i jkl ++ // ++ // 3a fgh cde qab mnp|00i jkl ++ // 3b fgh cde qab mnp|jkl 00i ++ // 3c 00i jkl mnp qab cde fgh ++ ++ // Step 1: amount to shift is the partial right-rotate count ++ rotate=set->digits-rotate; // make it right-rotate ++ units=rotate/DECDPUN; // whole units to rotate ++ shift=rotate%DECDPUN; // left-over digits count ++ if (shift>0) { // not an exact number of units ++ uInt save=res->lsu[0]%powers[shift]; // save low digit(s) ++ decShiftToLeast(res->lsu, D2U(res->digits), shift); ++ if (shift>msudigits) { // msumax-1 needs >0 digits ++ uInt rem=save%powers[shift-msudigits];// split save ++ *msumax=(Unit)(save/powers[shift-msudigits]); // and insert ++ *(msumax-1)=*(msumax-1) ++ +(Unit)(rem*powers[DECDPUN-(shift-msudigits)]); // .. ++ } ++ else { // all fits in msumax ++ *msumax=*msumax+(Unit)(save*powers[msudigits-shift]); // [maybe *1] ++ } ++ } // digits shift needed ++ ++ // If whole units to rotate... ++ if (units>0) { // some to do ++ // Step 2: the units to touch are the whole ones in rotate, ++ // if any, and the shift is DECDPUN-msudigits (which may be ++ // 0, again) ++ shift=DECDPUN-msudigits; ++ if (shift>0) { // not an exact number of units ++ uInt save=res->lsu[0]%powers[shift]; // save low digit(s) ++ decShiftToLeast(res->lsu, units, shift); ++ *msumax=*msumax+(Unit)(save*powers[msudigits]); ++ } // partial shift needed ++ ++ // Step 3: rotate the units array using triple reverse ++ // (reversing is easy and fast) ++ decReverse(res->lsu+units, msumax); // left part ++ decReverse(res->lsu, res->lsu+units-1); // right part ++ decReverse(res->lsu, msumax); // whole ++ } // whole units to rotate ++ // the rotation may have left an undetermined number of zeros ++ // on the left, so true length needs to be calculated ++ res->digits=decGetDigits(res->lsu, msumax-res->lsu+1); ++ } // rotate needed ++ } // rhs OK ++ } // numerics ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberRotate ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberSameQuantum -- test for equal exponents */ ++/* */ ++/* res is the result number, which will contain either 0 or 1 */ ++/* lhs is a number to test */ ++/* rhs is the second (usually a pattern) */ ++/* */ ++/* No errors are possible and no context is needed. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberSameQuantum(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs) { ++ Unit ret=0; // return value ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, DECUNCONT)) return res; ++ #endif ++ ++ if (SPECIALARGS) { ++ if (decNumberIsNaN(lhs) && decNumberIsNaN(rhs)) ret=1; ++ else if (decNumberIsInfinite(lhs) && decNumberIsInfinite(rhs)) ret=1; ++ // [anything else with a special gives 0] ++ } ++ else if (lhs->exponent==rhs->exponent) ret=1; ++ ++ decNumberZero(res); // OK to overwrite an operand now ++ *res->lsu=ret; ++ return res; ++ } // decNumberSameQuantum ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberScaleB -- multiply by a power of 10 */ ++/* */ ++/* This computes C = A x 10**B where B is an integer (q=0) with */ ++/* maximum magnitude 2*(emax+digits) */ ++/* */ ++/* res is C, the result. C may be A or B */ ++/* lhs is A, the number to adjust */ ++/* rhs is B, the requested power of ten to use */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* The result may underflow or overflow. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberScaleB(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ Int reqexp; // requested exponent change [B] ++ uInt status=0; // accumulator ++ Int residue; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ // Handle special values except lhs infinite ++ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) ++ decNaNs(res, lhs, rhs, set, &status); ++ // rhs must be an integer ++ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0) ++ status=DEC_Invalid_operation; ++ else { ++ // lhs is a number; rhs is a finite with q==0 ++ reqexp=decGetInt(rhs); // [cannot fail] ++ // maximum range is larger than getInt can handle, so this is ++ // more restrictive than the specification ++ if (reqexp==BADINT // something bad .. ++ || reqexp==BIGODD || reqexp==BIGEVEN // it was huge ++ || (abs(reqexp)+1)/2>(set->digits+set->emax)) // .. or out of range ++ status=DEC_Invalid_operation; ++ else { // rhs is OK ++ decNumberCopy(res, lhs); // all done if infinite lhs ++ if (!decNumberIsInfinite(res)) { // prepare to scale ++ Int exp=res->exponent; // save for overflow test ++ res->exponent+=reqexp; // adjust the exponent ++ if (((exp^reqexp)>=0) // same sign ... ++ && ((exp^res->exponent)<0)) { // .. but result had different ++ // the calculation overflowed, so force right treatment ++ if (exp<0) res->exponent=DEC_MIN_EMIN-DEC_MAX_DIGITS; ++ else res->exponent=DEC_MAX_EMAX+1; ++ } ++ residue=0; ++ decFinalize(res, set, &residue, &status); // final check ++ } // finite LHS ++ } // rhs OK ++ } // rhs finite ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberScaleB ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberShift -- shift the coefficient of a Number left or right */ ++/* */ ++/* This computes C = A << B or C = A >> -B (in base ten). */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X<digits through */ ++/* +set->digits. */ ++/* C must have space for set->digits digits. */ ++/* NaNs are propagated as usual. Infinities are unaffected (but */ ++/* B must be valid). No status is set unless B is invalid or an */ ++/* operand is an sNaN. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberShift(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ Int shift; // rhs as an Int ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ // NaNs propagate as normal ++ if (decNumberIsNaN(lhs) || decNumberIsNaN(rhs)) ++ decNaNs(res, lhs, rhs, set, &status); ++ // rhs must be an integer ++ else if (decNumberIsInfinite(rhs) || rhs->exponent!=0) ++ status=DEC_Invalid_operation; ++ else { // both numeric, rhs is an integer ++ shift=decGetInt(rhs); // [cannot fail] ++ if (shift==BADINT // something bad .. ++ || shift==BIGODD || shift==BIGEVEN // .. very big .. ++ || abs(shift)>set->digits) // .. or out of range ++ status=DEC_Invalid_operation; ++ else { // rhs is OK ++ decNumberCopy(res, lhs); ++ if (shift!=0 && !decNumberIsInfinite(res)) { // something to do ++ if (shift>0) { // to left ++ if (shift==set->digits) { // removing all ++ *res->lsu=0; // so place 0 ++ res->digits=1; // .. ++ } ++ else { // ++ // first remove leading digits if necessary ++ if (res->digits+shift>set->digits) { ++ decDecap(res, res->digits+shift-set->digits); ++ // that updated res->digits; may have gone to 1 (for a ++ // single digit or for zero ++ } ++ if (res->digits>1 || *res->lsu) // if non-zero.. ++ res->digits=decShiftToMost(res->lsu, res->digits, shift); ++ } // partial left ++ } // left ++ else { // to right ++ if (-shift>=res->digits) { // discarding all ++ *res->lsu=0; // so place 0 ++ res->digits=1; // .. ++ } ++ else { ++ decShiftToLeast(res->lsu, D2U(res->digits), -shift); ++ res->digits-=(-shift); ++ } ++ } // to right ++ } // non-0 non-Inf shift ++ } // rhs OK ++ } // numerics ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberShift ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberSquareRoot -- square root operator */ ++/* */ ++/* This computes C = squareroot(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++/* This uses the following varying-precision algorithm in: */ ++/* */ ++/* Properly Rounded Variable Precision Square Root, T. E. Hull and */ ++/* A. Abrham, ACM Transactions on Mathematical Software, Vol 11 #3, */ ++/* pp229-237, ACM, September 1985. */ ++/* */ ++/* The square-root is calculated using Newton's method, after which */ ++/* a check is made to ensure the result is correctly rounded. */ ++/* */ ++/* % [Reformatted original Numerical Turing source code follows.] */ ++/* function sqrt(x : real) : real */ ++/* % sqrt(x) returns the properly rounded approximation to the square */ ++/* % root of x, in the precision of the calling environment, or it */ ++/* % fails if x < 0. */ ++/* % t e hull and a abrham, august, 1984 */ ++/* if x <= 0 then */ ++/* if x < 0 then */ ++/* assert false */ ++/* else */ ++/* result 0 */ ++/* end if */ ++/* end if */ ++/* var f := setexp(x, 0) % fraction part of x [0.1 <= x < 1] */ ++/* var e := getexp(x) % exponent part of x */ ++/* var approx : real */ ++/* if e mod 2 = 0 then */ ++/* approx := .259 + .819 * f % approx to root of f */ ++/* else */ ++/* f := f/l0 % adjustments */ ++/* e := e + 1 % for odd */ ++/* approx := .0819 + 2.59 * f % exponent */ ++/* end if */ ++/* */ ++/* var p:= 3 */ ++/* const maxp := currentprecision + 2 */ ++/* loop */ ++/* p := min(2*p - 2, maxp) % p = 4,6,10, . . . , maxp */ ++/* precision p */ ++/* approx := .5 * (approx + f/approx) */ ++/* exit when p = maxp */ ++/* end loop */ ++/* */ ++/* % approx is now within 1 ulp of the properly rounded square root */ ++/* % of f; to ensure proper rounding, compare squares of (approx - */ ++/* % l/2 ulp) and (approx + l/2 ulp) with f. */ ++/* p := currentprecision */ ++/* begin */ ++/* precision p + 2 */ ++/* const approxsubhalf := approx - setexp(.5, -p) */ ++/* if mulru(approxsubhalf, approxsubhalf) > f then */ ++/* approx := approx - setexp(.l, -p + 1) */ ++/* else */ ++/* const approxaddhalf := approx + setexp(.5, -p) */ ++/* if mulrd(approxaddhalf, approxaddhalf) < f then */ ++/* approx := approx + setexp(.l, -p + 1) */ ++/* end if */ ++/* end if */ ++/* end */ ++/* result setexp(approx, e div 2) % fix exponent */ ++/* end sqrt */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberSquareRoot(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decContext workset, approxset; // work contexts ++ decNumber dzero; // used for constant zero ++ Int maxp; // largest working precision ++ Int workp; // working precision ++ Int residue=0; // rounding residue ++ uInt status=0, ignore=0; // status accumulators ++ uInt rstatus; // .. ++ Int exp; // working exponent ++ Int ideal; // ideal (preferred) exponent ++ Int needbytes; // work ++ Int dropped; // .. ++ ++ #if DECSUBSET ++ decNumber *allocrhs=NULL; // non-NULL if rounded rhs allocated ++ #endif ++ // buffer for f [needs +1 in case DECBUFFER 0] ++ decNumber buff[D2N(DECBUFFER+1)]; ++ // buffer for a [needs +2 to match likely maxp] ++ decNumber bufa[D2N(DECBUFFER+2)]; ++ // buffer for temporary, b [must be same size as a] ++ decNumber bufb[D2N(DECBUFFER+2)]; ++ decNumber *allocbuff=NULL; // -> allocated buff, iff allocated ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber *allocbufb=NULL; // -> allocated bufb, iff allocated ++ decNumber *f=buff; // reduced fraction ++ decNumber *a=bufa; // approximation to result ++ decNumber *b=bufb; // intermediate result ++ // buffer for temporary variable, up to 3 digits ++ decNumber buft[D2N(3)]; ++ decNumber *t=buft; // up-to-3-digit constant or work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operand and set lostDigits status, as needed ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, &status); ++ if (allocrhs==NULL) break; ++ // [Note: 'f' allocation below could reuse this buffer if ++ // used, but as this is rare they are kept separate for clarity.] ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // handle infinities and NaNs ++ if (SPECIALARG) { ++ if (decNumberIsInfinite(rhs)) { // an infinity ++ if (decNumberIsNegative(rhs)) status|=DEC_Invalid_operation; ++ else decNumberCopy(res, rhs); // +Infinity ++ } ++ else decNaNs(res, rhs, NULL, set, &status); // a NaN ++ break; ++ } ++ ++ // calculate the ideal (preferred) exponent [floor(exp/2)] ++ // [It would be nicer to write: ideal=rhs->exponent>>1, but this ++ // generates a compiler warning. Generated code is the same.] ++ ideal=(rhs->exponent&~1)/2; // target ++ ++ // handle zeros ++ if (ISZERO(rhs)) { ++ decNumberCopy(res, rhs); // could be 0 or -0 ++ res->exponent=ideal; // use the ideal [safe] ++ // use decFinish to clamp any out-of-range exponent, etc. ++ decFinish(res, set, &residue, &status); ++ break; ++ } ++ ++ // any other -x is an oops ++ if (decNumberIsNegative(rhs)) { ++ status|=DEC_Invalid_operation; ++ break; ++ } ++ ++ // space is needed for three working variables ++ // f -- the same precision as the RHS, reduced to 0.01->0.99... ++ // a -- Hull's approximation -- precision, when assigned, is ++ // currentprecision+1 or the input argument precision, ++ // whichever is larger (+2 for use as temporary) ++ // b -- intermediate temporary result (same size as a) ++ // if any is too long for local storage, then allocate ++ workp=MAXI(set->digits+1, rhs->digits); // actual rounding precision ++ workp=MAXI(workp, 7); // at least 7 for low cases ++ maxp=workp+2; // largest working precision ++ ++ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit); ++ if (needbytes>(Int)sizeof(buff)) { ++ allocbuff=(decNumber *)malloc(needbytes); ++ if (allocbuff==NULL) { // hopeless -- abandon ++ status|=DEC_Insufficient_storage; ++ break;} ++ f=allocbuff; // use the allocated space ++ } ++ // a and b both need to be able to hold a maxp-length number ++ needbytes=sizeof(decNumber)+(D2U(maxp)-1)*sizeof(Unit); ++ if (needbytes>(Int)sizeof(bufa)) { // [same applies to b] ++ allocbufa=(decNumber *)malloc(needbytes); ++ allocbufb=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL || allocbufb==NULL) { // hopeless ++ status|=DEC_Insufficient_storage; ++ break;} ++ a=allocbufa; // use the allocated spaces ++ b=allocbufb; // .. ++ } ++ ++ // copy rhs -> f, save exponent, and reduce so 0.1 <= f < 1 ++ decNumberCopy(f, rhs); ++ exp=f->exponent+f->digits; // adjusted to Hull rules ++ f->exponent=-(f->digits); // to range ++ ++ // set up working context ++ decContextDefault(&workset, DEC_INIT_DECIMAL64); ++ workset.emax=DEC_MAX_EMAX; ++ workset.emin=DEC_MIN_EMIN; ++ ++ // [Until further notice, no error is possible and status bits ++ // (Rounded, etc.) should be ignored, not accumulated.] ++ ++ // Calculate initial approximation, and allow for odd exponent ++ workset.digits=workp; // p for initial calculation ++ t->bits=0; t->digits=3; ++ a->bits=0; a->digits=3; ++ if ((exp & 1)==0) { // even exponent ++ // Set t=0.259, a=0.819 ++ t->exponent=-3; ++ a->exponent=-3; ++ #if DECDPUN>=3 ++ t->lsu[0]=259; ++ a->lsu[0]=819; ++ #elif DECDPUN==2 ++ t->lsu[0]=59; t->lsu[1]=2; ++ a->lsu[0]=19; a->lsu[1]=8; ++ #else ++ t->lsu[0]=9; t->lsu[1]=5; t->lsu[2]=2; ++ a->lsu[0]=9; a->lsu[1]=1; a->lsu[2]=8; ++ #endif ++ } ++ else { // odd exponent ++ // Set t=0.0819, a=2.59 ++ f->exponent--; // f=f/10 ++ exp++; // e=e+1 ++ t->exponent=-4; ++ a->exponent=-2; ++ #if DECDPUN>=3 ++ t->lsu[0]=819; ++ a->lsu[0]=259; ++ #elif DECDPUN==2 ++ t->lsu[0]=19; t->lsu[1]=8; ++ a->lsu[0]=59; a->lsu[1]=2; ++ #else ++ t->lsu[0]=9; t->lsu[1]=1; t->lsu[2]=8; ++ a->lsu[0]=9; a->lsu[1]=5; a->lsu[2]=2; ++ #endif ++ } ++ ++ decMultiplyOp(a, a, f, &workset, &ignore); // a=a*f ++ decAddOp(a, a, t, &workset, 0, &ignore); // ..+t ++ // [a is now the initial approximation for sqrt(f), calculated with ++ // currentprecision, which is also a's precision.] ++ ++ // the main calculation loop ++ decNumberZero(&dzero); // make 0 ++ decNumberZero(t); // set t = 0.5 ++ t->lsu[0]=5; // .. ++ t->exponent=-1; // .. ++ workset.digits=3; // initial p ++ for (; workset.digitsexponent+=exp/2; // set correct exponent ++ rstatus=0; // clear status ++ residue=0; // .. and accumulator ++ decCopyFit(a, a, &approxset, &residue, &rstatus); // reduce (if needed) ++ decFinish(a, &approxset, &residue, &rstatus); // clean and finalize ++ ++ // Overflow was possible if the input exponent was out-of-range, ++ // in which case quit ++ if (rstatus&DEC_Overflow) { ++ status=rstatus; // use the status as-is ++ decNumberCopy(res, a); // copy to result ++ break; ++ } ++ ++ // Preserve status except Inexact/Rounded ++ status|=(rstatus & ~(DEC_Rounded|DEC_Inexact)); ++ ++ // Carry out the Hull correction ++ a->exponent-=exp/2; // back to 0.1->1 ++ ++ // a is now at final precision and within 1 ulp of the properly ++ // rounded square root of f; to ensure proper rounding, compare ++ // squares of (a - l/2 ulp) and (a + l/2 ulp) with f. ++ // Here workset.digits=maxp and t=0.5, and a->digits determines ++ // the ulp ++ workset.digits--; // maxp-1 is OK now ++ t->exponent=-a->digits-1; // make 0.5 ulp ++ decAddOp(b, a, t, &workset, DECNEG, &ignore); // b = a - 0.5 ulp ++ workset.round=DEC_ROUND_UP; ++ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulru(b, b) ++ decCompareOp(b, f, b, &workset, COMPARE, &ignore); // b ? f, reversed ++ if (decNumberIsNegative(b)) { // f < b [i.e., b > f] ++ // this is the more common adjustment, though both are rare ++ t->exponent++; // make 1.0 ulp ++ t->lsu[0]=1; // .. ++ decAddOp(a, a, t, &workset, DECNEG, &ignore); // a = a - 1 ulp ++ // assign to approx [round to length] ++ approxset.emin-=exp/2; // adjust to match a ++ approxset.emax-=exp/2; ++ decAddOp(a, &dzero, a, &approxset, 0, &ignore); ++ } ++ else { ++ decAddOp(b, a, t, &workset, 0, &ignore); // b = a + 0.5 ulp ++ workset.round=DEC_ROUND_DOWN; ++ decMultiplyOp(b, b, b, &workset, &ignore); // b = mulrd(b, b) ++ decCompareOp(b, b, f, &workset, COMPARE, &ignore); // b ? f ++ if (decNumberIsNegative(b)) { // b < f ++ t->exponent++; // make 1.0 ulp ++ t->lsu[0]=1; // .. ++ decAddOp(a, a, t, &workset, 0, &ignore); // a = a + 1 ulp ++ // assign to approx [round to length] ++ approxset.emin-=exp/2; // adjust to match a ++ approxset.emax-=exp/2; ++ decAddOp(a, &dzero, a, &approxset, 0, &ignore); ++ } ++ } ++ // [no errors are possible in the above, and rounding/inexact during ++ // estimation are irrelevant, so status was not accumulated] ++ ++ // Here, 0.1 <= a < 1 (still), so adjust back ++ a->exponent+=exp/2; // set correct exponent ++ ++ // count droppable zeros [after any subnormal rounding] by ++ // trimming a copy ++ decNumberCopy(b, a); ++ decTrim(b, set, 1, 1, &dropped); // [drops trailing zeros] ++ ++ // Set Inexact and Rounded. The answer can only be exact if ++ // it is short enough so that squaring it could fit in workp ++ // digits, so this is the only (relatively rare) condition that ++ // a careful check is needed ++ if (b->digits*2-1 > workp) { // cannot fit ++ status|=DEC_Inexact|DEC_Rounded; ++ } ++ else { // could be exact/unrounded ++ uInt mstatus=0; // local status ++ decMultiplyOp(b, b, b, &workset, &mstatus); // try the multiply ++ if (mstatus&DEC_Overflow) { // result just won't fit ++ status|=DEC_Inexact|DEC_Rounded; ++ } ++ else { // plausible ++ decCompareOp(t, b, rhs, &workset, COMPARE, &mstatus); // b ? rhs ++ if (!ISZERO(t)) status|=DEC_Inexact|DEC_Rounded; // not equal ++ else { // is Exact ++ // here, dropped is the count of trailing zeros in 'a' ++ // use closest exponent to ideal... ++ Int todrop=ideal-a->exponent; // most that can be dropped ++ if (todrop<0) status|=DEC_Rounded; // ideally would add 0s ++ else { // unrounded ++ // there are some to drop, but emax may not allow all ++ Int maxexp=set->emax-set->digits+1; ++ Int maxdrop=maxexp-a->exponent; ++ if (todrop>maxdrop && set->clamp) { // apply clamping ++ todrop=maxdrop; ++ status|=DEC_Clamped; ++ } ++ if (dropped0) { // have some to drop ++ decShiftToLeast(a->lsu, D2U(a->digits), todrop); ++ a->exponent+=todrop; // maintain numerical value ++ a->digits-=todrop; // new length ++ } ++ } ++ } ++ } ++ } ++ ++ // double-check Underflow, as perhaps the result could not have ++ // been subnormal (initial argument too big), or it is now Exact ++ if (status&DEC_Underflow) { ++ Int ae=rhs->exponent+rhs->digits-1; // adjusted exponent ++ // check if truly subnormal ++ #if DECEXTFLAG // DEC_Subnormal too ++ if (ae>=set->emin*2) status&=~(DEC_Subnormal|DEC_Underflow); ++ #else ++ if (ae>=set->emin*2) status&=~DEC_Underflow; ++ #endif ++ // check if truly inexact ++ if (!(status&DEC_Inexact)) status&=~DEC_Underflow; ++ } ++ ++ decNumberCopy(res, a); // a is now the result ++ } while(0); // end protected ++ ++ if (allocbuff!=NULL) free(allocbuff); // drop any storage used ++ if (allocbufa!=NULL) free(allocbufa); // .. ++ if (allocbufb!=NULL) free(allocbufb); // .. ++ #if DECSUBSET ++ if (allocrhs !=NULL) free(allocrhs); // .. ++ #endif ++ if (status!=0) decStatus(res, status, set);// then report status ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberSquareRoot ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberSubtract -- subtract two Numbers */ ++/* */ ++/* This computes C = A - B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X-X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberSubtract(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ uInt status=0; // accumulator ++ ++ decAddOp(res, lhs, rhs, set, DECNEG, &status); ++ if (status!=0) decStatus(res, status, set); ++ #if DECCHECK ++ decCheckInexact(res, set); ++ #endif ++ return res; ++ } // decNumberSubtract ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberToIntegralExact -- round-to-integral-value with InExact */ ++/* decNumberToIntegralValue -- round-to-integral-value */ ++/* */ ++/* res is the result */ ++/* rhs is input number */ ++/* set is the context */ ++/* */ ++/* res must have space for any value of rhs. */ ++/* */ ++/* This implements the IEEE special operators and therefore treats */ ++/* special values as valid. For finite numbers it returns */ ++/* rescale(rhs, 0) if rhs->exponent is <0. */ ++/* Otherwise the result is rhs (so no error is possible, except for */ ++/* sNaN). */ ++/* */ ++/* The context is used for rounding mode and status after sNaN, but */ ++/* the digits setting is ignored. The Exact version will signal */ ++/* Inexact if the result differs numerically from rhs; the other */ ++/* never signals Inexact. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberToIntegralExact(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decNumber dn; ++ decContext workset; // working context ++ uInt status=0; // accumulator ++ ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ // handle infinities and NaNs ++ if (SPECIALARG) { ++ if (decNumberIsInfinite(rhs)) decNumberCopy(res, rhs); // an Infinity ++ else decNaNs(res, rhs, NULL, set, &status); // a NaN ++ } ++ else { // finite ++ // have a finite number; no error possible (res must be big enough) ++ if (rhs->exponent>=0) return decNumberCopy(res, rhs); ++ // that was easy, but if negative exponent there is work to do... ++ workset=*set; // clone rounding, etc. ++ workset.digits=rhs->digits; // no length rounding ++ workset.traps=0; // no traps ++ decNumberZero(&dn); // make a number with exponent 0 ++ decNumberQuantize(res, rhs, &dn, &workset); ++ status|=workset.status; ++ } ++ if (status!=0) decStatus(res, status, set); ++ return res; ++ } // decNumberToIntegralExact ++ ++decNumber * decNumberToIntegralValue(decNumber *res, const decNumber *rhs, ++ decContext *set) { ++ decContext workset=*set; // working context ++ workset.traps=0; // no traps ++ decNumberToIntegralExact(res, rhs, &workset); ++ // this never affects set, except for sNaNs; NaN will have been set ++ // or propagated already, so no need to call decStatus ++ set->status|=workset.status&DEC_Invalid_operation; ++ return res; ++ } // decNumberToIntegralValue ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberXor -- XOR two Numbers, digitwise */ ++/* */ ++/* This computes C = A ^ B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X^X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context (used for result length and error report) */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Logical function restrictions apply (see above); a NaN is */ ++/* returned with Invalid_operation if a restriction is violated. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberXor(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ const Unit *ua, *ub; // -> operands ++ const Unit *msua, *msub; // -> operand msus ++ Unit *uc, *msuc; // -> result and its msu ++ Int msudigs; // digits in res msu ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ if (lhs->exponent!=0 || decNumberIsSpecial(lhs) || decNumberIsNegative(lhs) ++ || rhs->exponent!=0 || decNumberIsSpecial(rhs) || decNumberIsNegative(rhs)) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ // operands are valid ++ ua=lhs->lsu; // bottom-up ++ ub=rhs->lsu; // .. ++ uc=res->lsu; // .. ++ msua=ua+D2U(lhs->digits)-1; // -> msu of lhs ++ msub=ub+D2U(rhs->digits)-1; // -> msu of rhs ++ msuc=uc+D2U(set->digits)-1; // -> msu of result ++ msudigs=MSUDIGITS(set->digits); // [faster than remainder] ++ for (; uc<=msuc; ua++, ub++, uc++) { // Unit loop ++ Unit a, b; // extract units ++ if (ua>msua) a=0; ++ else a=*ua; ++ if (ub>msub) b=0; ++ else b=*ub; ++ *uc=0; // can now write back ++ if (a|b) { // maybe 1 bits to examine ++ Int i, j; ++ // This loop could be unrolled and/or use BIN2BCD tables ++ for (i=0; i1) { ++ decStatus(res, DEC_Invalid_operation, set); ++ return res; ++ } ++ if (uc==msuc && i==msudigs-1) break; // just did final digit ++ } // each digit ++ } // non-zero ++ } // each unit ++ // [here uc-1 is the msu of the result] ++ res->digits=decGetDigits(res->lsu, uc-res->lsu); ++ res->exponent=0; // integer ++ res->bits=0; // sign=0 ++ return res; // [no status to set] ++ } // decNumberXor ++ ++ ++/* ================================================================== */ ++/* Utility routines */ ++/* ================================================================== */ ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberClass -- return the decClass of a decNumber */ ++/* dn -- the decNumber to test */ ++/* set -- the context to use for Emin */ ++/* returns the decClass enum */ ++/* ------------------------------------------------------------------ */ ++enum decClass decNumberClass(const decNumber *dn, decContext *set) { ++ if (decNumberIsSpecial(dn)) { ++ if (decNumberIsQNaN(dn)) return DEC_CLASS_QNAN; ++ if (decNumberIsSNaN(dn)) return DEC_CLASS_SNAN; ++ // must be an infinity ++ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_INF; ++ return DEC_CLASS_POS_INF; ++ } ++ // is finite ++ if (decNumberIsNormal(dn, set)) { // most common ++ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_NORMAL; ++ return DEC_CLASS_POS_NORMAL; ++ } ++ // is subnormal or zero ++ if (decNumberIsZero(dn)) { // most common ++ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_ZERO; ++ return DEC_CLASS_POS_ZERO; ++ } ++ if (decNumberIsNegative(dn)) return DEC_CLASS_NEG_SUBNORMAL; ++ return DEC_CLASS_POS_SUBNORMAL; ++ } // decNumberClass ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberClassToString -- convert decClass to a string */ ++/* */ ++/* eclass is a valid decClass */ ++/* returns a constant string describing the class (max 13+1 chars) */ ++/* ------------------------------------------------------------------ */ ++const char *decNumberClassToString(enum decClass eclass) { ++ if (eclass==DEC_CLASS_POS_NORMAL) return DEC_ClassString_PN; ++ if (eclass==DEC_CLASS_NEG_NORMAL) return DEC_ClassString_NN; ++ if (eclass==DEC_CLASS_POS_ZERO) return DEC_ClassString_PZ; ++ if (eclass==DEC_CLASS_NEG_ZERO) return DEC_ClassString_NZ; ++ if (eclass==DEC_CLASS_POS_SUBNORMAL) return DEC_ClassString_PS; ++ if (eclass==DEC_CLASS_NEG_SUBNORMAL) return DEC_ClassString_NS; ++ if (eclass==DEC_CLASS_POS_INF) return DEC_ClassString_PI; ++ if (eclass==DEC_CLASS_NEG_INF) return DEC_ClassString_NI; ++ if (eclass==DEC_CLASS_QNAN) return DEC_ClassString_QN; ++ if (eclass==DEC_CLASS_SNAN) return DEC_ClassString_SN; ++ return DEC_ClassString_UN; // Unknown ++ } // decNumberClassToString ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCopy -- copy a number */ ++/* */ ++/* dest is the target decNumber */ ++/* src is the source decNumber */ ++/* returns dest */ ++/* */ ++/* (dest==src is allowed and is a no-op) */ ++/* All fields are updated as required. This is a utility operation, */ ++/* so special values are unchanged and no error is possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCopy(decNumber *dest, const decNumber *src) { ++ ++ #if DECCHECK ++ if (src==NULL) return decNumberZero(dest); ++ #endif ++ ++ if (dest==src) return dest; // no copy required ++ ++ // Use explicit assignments here as structure assignment could copy ++ // more than just the lsu (for small DECDPUN). This would not affect ++ // the value of the results, but could disturb test harness spill ++ // checking. ++ dest->bits=src->bits; ++ dest->exponent=src->exponent; ++ dest->digits=src->digits; ++ dest->lsu[0]=src->lsu[0]; ++ if (src->digits>DECDPUN) { // more Units to come ++ const Unit *smsup, *s; // work ++ Unit *d; // .. ++ // memcpy for the remaining Units would be safe as they cannot ++ // overlap. However, this explicit loop is faster in short cases. ++ d=dest->lsu+1; // -> first destination ++ smsup=src->lsu+D2U(src->digits); // -> source msu+1 ++ for (s=src->lsu+1; sdigits digits. */ ++/* No exception or error can occur; this is a quiet bitwise operation.*/ ++/* See also decNumberAbs for a checking version of this. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCopyAbs(decNumber *res, const decNumber *rhs) { ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res; ++ #endif ++ decNumberCopy(res, rhs); ++ res->bits&=~DECNEG; // turn off sign ++ return res; ++ } // decNumberCopyAbs ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCopyNegate -- quiet negate value operator */ ++/* */ ++/* This sets C = negate(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* No exception or error can occur; this is a quiet bitwise operation.*/ ++/* See also decNumberMinus for a checking version of this. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCopyNegate(decNumber *res, const decNumber *rhs) { ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res; ++ #endif ++ decNumberCopy(res, rhs); ++ res->bits^=DECNEG; // invert the sign ++ return res; ++ } // decNumberCopyNegate ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberCopySign -- quiet copy and set sign operator */ ++/* */ ++/* This sets C = A with the sign of B */ ++/* */ ++/* res is C, the result. C may be A */ ++/* lhs is A */ ++/* rhs is B */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* No exception or error can occur; this is a quiet bitwise operation.*/ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberCopySign(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs) { ++ uByte sign; // rhs sign ++ #if DECCHECK ++ if (decCheckOperands(res, DECUNUSED, rhs, DECUNCONT)) return res; ++ #endif ++ sign=rhs->bits & DECNEG; // save sign bit ++ decNumberCopy(res, lhs); ++ res->bits&=~DECNEG; // clear the sign ++ res->bits|=sign; // set from rhs ++ return res; ++ } // decNumberCopySign ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberGetBCD -- get the coefficient in BCD8 */ ++/* dn is the source decNumber */ ++/* bcd is the uInt array that will receive dn->digits BCD bytes, */ ++/* most-significant at offset 0 */ ++/* returns bcd */ ++/* */ ++/* bcd must have at least dn->digits bytes. No error is possible; if */ ++/* dn is a NaN or Infinite, digits must be 1 and the coefficient 0. */ ++/* ------------------------------------------------------------------ */ ++uByte * decNumberGetBCD(const decNumber *dn, uByte *bcd) { ++ uByte *ub=bcd+dn->digits-1; // -> lsd ++ const Unit *up=dn->lsu; // Unit pointer, -> lsu ++ ++ #if DECDPUN==1 // trivial simple copy ++ for (; ub>=bcd; ub--, up++) *ub=*up; ++ #else // chopping needed ++ uInt u=*up; // work ++ uInt cut=DECDPUN; // downcounter through unit ++ for (; ub>=bcd; ub--) { ++ *ub=(uByte)(u%10); // [*6554 trick inhibits, here] ++ u=u/10; ++ cut--; ++ if (cut>0) continue; // more in this unit ++ up++; ++ u=*up; ++ cut=DECDPUN; ++ } ++ #endif ++ return bcd; ++ } // decNumberGetBCD ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberSetBCD -- set (replace) the coefficient from BCD8 */ ++/* dn is the target decNumber */ ++/* bcd is the uInt array that will source n BCD bytes, most- */ ++/* significant at offset 0 */ ++/* n is the number of digits in the source BCD array (bcd) */ ++/* returns dn */ ++/* */ ++/* dn must have space for at least n digits. No error is possible; */ ++/* if dn is a NaN, or Infinite, or is to become a zero, n must be 1 */ ++/* and bcd[0] zero. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberSetBCD(decNumber *dn, const uByte *bcd, uInt n) { ++ Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [target pointer] ++ const uByte *ub=bcd; // -> source msd ++ ++ #if DECDPUN==1 // trivial simple copy ++ for (; ub=dn->lsu; up--) { // each Unit from msu ++ *up=0; // will take <=DECDPUN digits ++ for (; cut>0; ub++, cut--) *up=X10(*up)+*ub; ++ cut=DECDPUN; // next Unit has all digits ++ } ++ #endif ++ dn->digits=n; // set digit count ++ return dn; ++ } // decNumberSetBCD ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberIsNormal -- test normality of a decNumber */ ++/* dn is the decNumber to test */ ++/* set is the context to use for Emin */ ++/* returns 1 if |dn| is finite and >=Nmin, 0 otherwise */ ++/* ------------------------------------------------------------------ */ ++Int decNumberIsNormal(const decNumber *dn, decContext *set) { ++ Int ae; // adjusted exponent ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, set)) return 0; ++ #endif ++ ++ if (decNumberIsSpecial(dn)) return 0; // not finite ++ if (decNumberIsZero(dn)) return 0; // not non-zero ++ ++ ae=dn->exponent+dn->digits-1; // adjusted exponent ++ if (aeemin) return 0; // is subnormal ++ return 1; ++ } // decNumberIsNormal ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberIsSubnormal -- test subnormality of a decNumber */ ++/* dn is the decNumber to test */ ++/* set is the context to use for Emin */ ++/* returns 1 if |dn| is finite, non-zero, and exponent+dn->digits-1; // adjusted exponent ++ if (aeemin) return 1; // is subnormal ++ return 0; ++ } // decNumberIsSubnormal ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberTrim -- remove insignificant zeros */ ++/* */ ++/* dn is the number to trim */ ++/* returns dn */ ++/* */ ++/* All fields are updated as required. This is a utility operation, */ ++/* so special values are unchanged and no error is possible. The */ ++/* zeros are removed unconditionally. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decNumberTrim(decNumber *dn) { ++ Int dropped; // work ++ decContext set; // .. ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, DECUNUSED, dn, DECUNCONT)) return dn; ++ #endif ++ decContextDefault(&set, DEC_INIT_BASE); // clamp=0 ++ return decTrim(dn, &set, 0, 1, &dropped); ++ } // decNumberTrim ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberVersion -- return the name and version of this module */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++const char * decNumberVersion(void) { ++ return DECVERSION; ++ } // decNumberVersion ++ ++/* ------------------------------------------------------------------ */ ++/* decNumberZero -- set a number to 0 */ ++/* */ ++/* dn is the number to set, with space for one digit */ ++/* returns dn */ ++/* */ ++/* No error is possible. */ ++/* ------------------------------------------------------------------ */ ++// Memset is not used as it is much slower in some environments. ++decNumber * decNumberZero(decNumber *dn) { ++ ++ #if DECCHECK ++ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn; ++ #endif ++ ++ dn->bits=0; ++ dn->exponent=0; ++ dn->digits=1; ++ dn->lsu[0]=0; ++ return dn; ++ } // decNumberZero ++ ++/* ================================================================== */ ++/* Local routines */ ++/* ================================================================== */ ++ ++/* ------------------------------------------------------------------ */ ++/* decToString -- lay out a number into a string */ ++/* */ ++/* dn is the number to lay out */ ++/* string is where to lay out the number */ ++/* eng is 1 if Engineering, 0 if Scientific */ ++/* */ ++/* string must be at least dn->digits+14 characters long */ ++/* No error is possible. */ ++/* */ ++/* Note that this routine can generate a -0 or 0.000. These are */ ++/* never generated in subset to-number or arithmetic, but can occur */ ++/* in non-subset arithmetic (e.g., -1*0 or 1.234-1.234). */ ++/* ------------------------------------------------------------------ */ ++// If DECCHECK is enabled the string "?" is returned if a number is ++// invalid. ++static void decToString(const decNumber *dn, char *string, Flag eng) { ++ Int exp=dn->exponent; // local copy ++ Int e; // E-part value ++ Int pre; // digits before the '.' ++ Int cut; // for counting digits in a Unit ++ char *c=string; // work [output pointer] ++ const Unit *up=dn->lsu+D2U(dn->digits)-1; // -> msu [input pointer] ++ uInt u, pow; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(DECUNRESU, dn, DECUNUSED, DECUNCONT)) { ++ strcpy(string, "?"); ++ return;} ++ #endif ++ ++ if (decNumberIsNegative(dn)) { // Negatives get a minus ++ *c='-'; ++ c++; ++ } ++ if (dn->bits&DECSPECIAL) { // Is a special value ++ if (decNumberIsInfinite(dn)) { ++ strcpy(c, "Inf"); ++ strcpy(c+3, "inity"); ++ return;} ++ // a NaN ++ if (dn->bits&DECSNAN) { // signalling NaN ++ *c='s'; ++ c++; ++ } ++ strcpy(c, "NaN"); ++ c+=3; // step past ++ // if not a clean non-zero coefficient, that's all there is in a ++ // NaN string ++ if (exp!=0 || (*dn->lsu==0 && dn->digits==1)) return; ++ // [drop through to add integer] ++ } ++ ++ // calculate how many digits in msu, and hence first cut ++ cut=MSUDIGITS(dn->digits); // [faster than remainder] ++ cut--; // power of ten for digit ++ ++ if (exp==0) { // simple integer [common fastpath] ++ for (;up>=dn->lsu; up--) { // each Unit from msu ++ u=*up; // contains DECDPUN digits to lay out ++ for (; cut>=0; c++, cut--) TODIGIT(u, cut, c, pow); ++ cut=DECDPUN-1; // next Unit has all digits ++ } ++ *c='\0'; // terminate the string ++ return;} ++ ++ /* non-0 exponent -- assume plain form */ ++ pre=dn->digits+exp; // digits before '.' ++ e=0; // no E ++ if ((exp>0) || (pre<-5)) { // need exponential form ++ e=exp+dn->digits-1; // calculate E value ++ pre=1; // assume one digit before '.' ++ if (eng && (e!=0)) { // engineering: may need to adjust ++ Int adj; // adjustment ++ // The C remainder operator is undefined for negative numbers, so ++ // a positive remainder calculation must be used here ++ if (e<0) { ++ adj=(-e)%3; ++ if (adj!=0) adj=3-adj; ++ } ++ else { // e>0 ++ adj=e%3; ++ } ++ e=e-adj; ++ // if dealing with zero still produce an exponent which is a ++ // multiple of three, as expected, but there will only be the ++ // one zero before the E, still. Otherwise note the padding. ++ if (!ISZERO(dn)) pre+=adj; ++ else { // is zero ++ if (adj!=0) { // 0.00Esnn needed ++ e=e+3; ++ pre=-(2-adj); ++ } ++ } // zero ++ } // eng ++ } // need exponent ++ ++ /* lay out the digits of the coefficient, adding 0s and . as needed */ ++ u=*up; ++ if (pre>0) { // xxx.xxx or xx00 (engineering) form ++ Int n=pre; ++ for (; pre>0; pre--, c++, cut--) { ++ if (cut<0) { // need new Unit ++ if (up==dn->lsu) break; // out of input digits (pre>digits) ++ up--; ++ cut=DECDPUN-1; ++ u=*up; ++ } ++ TODIGIT(u, cut, c, pow); ++ } ++ if (ndigits) { // more to come, after '.' ++ *c='.'; c++; ++ for (;; c++, cut--) { ++ if (cut<0) { // need new Unit ++ if (up==dn->lsu) break; // out of input digits ++ up--; ++ cut=DECDPUN-1; ++ u=*up; ++ } ++ TODIGIT(u, cut, c, pow); ++ } ++ } ++ else for (; pre>0; pre--, c++) *c='0'; // 0 padding (for engineering) needed ++ } ++ else { // 0.xxx or 0.000xxx form ++ *c='0'; c++; ++ *c='.'; c++; ++ for (; pre<0; pre++, c++) *c='0'; // add any 0's after '.' ++ for (; ; c++, cut--) { ++ if (cut<0) { // need new Unit ++ if (up==dn->lsu) break; // out of input digits ++ up--; ++ cut=DECDPUN-1; ++ u=*up; ++ } ++ TODIGIT(u, cut, c, pow); ++ } ++ } ++ ++ /* Finally add the E-part, if needed. It will never be 0, has a ++ base maximum and minimum of +999999999 through -999999999, but ++ could range down to -1999999998 for anormal numbers */ ++ if (e!=0) { ++ Flag had=0; // 1=had non-zero ++ *c='E'; c++; ++ *c='+'; c++; // assume positive ++ u=e; // .. ++ if (e<0) { ++ *(c-1)='-'; // oops, need - ++ u=-e; // uInt, please ++ } ++ // lay out the exponent [_itoa or equivalent is not ANSI C] ++ for (cut=9; cut>=0; cut--) { ++ TODIGIT(u, cut, c, pow); ++ if (*c=='0' && !had) continue; // skip leading zeros ++ had=1; // had non-0 ++ c++; // step for next ++ } // cut ++ } ++ *c='\0'; // terminate the string (all paths) ++ return; ++ } // decToString ++ ++/* ------------------------------------------------------------------ */ ++/* decAddOp -- add/subtract operation */ ++/* */ ++/* This computes C = A + B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X+X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* negate is DECNEG if rhs should be negated, or 0 otherwise */ ++/* status accumulates status for the caller */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* Inexact in status must be 0 for correct Exact zero sign in result */ ++/* ------------------------------------------------------------------ */ ++/* If possible, the coefficient is calculated directly into C. */ ++/* However, if: */ ++/* -- a digits+1 calculation is needed because the numbers are */ ++/* unaligned and span more than set->digits digits */ ++/* -- a carry to digits+1 digits looks possible */ ++/* -- C is the same as A or B, and the result would destructively */ ++/* overlap the A or B coefficient */ ++/* then the result must be calculated into a temporary buffer. In */ ++/* this case a local (stack) buffer is used if possible, and only if */ ++/* too long for that does malloc become the final resort. */ ++/* */ ++/* Misalignment is handled as follows: */ ++/* Apad: (AExp>BExp) Swap operands and proceed as for BExp>AExp. */ ++/* BPad: Apply the padding by a combination of shifting (whole */ ++/* units) and multiplication (part units). */ ++/* */ ++/* Addition, especially x=x+1, is speed-critical. */ ++/* The static buffer is larger than might be expected to allow for */ ++/* calls from higher-level funtions (notable exp). */ ++/* ------------------------------------------------------------------ */ ++static decNumber * decAddOp(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set, ++ uByte negate, uInt *status) { ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated ++ decNumber *allocrhs=NULL; // .., rhs ++ #endif ++ Int rhsshift; // working shift (in Units) ++ Int maxdigits; // longest logical length ++ Int mult; // multiplier ++ Int residue; // rounding accumulator ++ uByte bits; // result bits ++ Flag diffsign; // non-0 if arguments have different sign ++ Unit *acc; // accumulator for result ++ Unit accbuff[SD2U(DECBUFFER*2+20)]; // local buffer [*2+20 reduces many ++ // allocations when called from ++ // other operations, notable exp] ++ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated ++ Int reqdigits=set->digits; // local copy; requested DIGITS ++ Int padding; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operands and set lostDigits status, as needed ++ if (lhs->digits>reqdigits) { ++ alloclhs=decRoundOperand(lhs, set, status); ++ if (alloclhs==NULL) break; ++ lhs=alloclhs; ++ } ++ if (rhs->digits>reqdigits) { ++ allocrhs=decRoundOperand(rhs, set, status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // note whether signs differ [used all paths] ++ diffsign=(Flag)((lhs->bits^rhs->bits^negate)&DECNEG); ++ ++ // handle infinities and NaNs ++ if (SPECIALARGS) { // a special bit set ++ if (SPECIALARGS & (DECSNAN | DECNAN)) // a NaN ++ decNaNs(res, lhs, rhs, set, status); ++ else { // one or two infinities ++ if (decNumberIsInfinite(lhs)) { // LHS is infinity ++ // two infinities with different signs is invalid ++ if (decNumberIsInfinite(rhs) && diffsign) { ++ *status|=DEC_Invalid_operation; ++ break; ++ } ++ bits=lhs->bits & DECNEG; // get sign from LHS ++ } ++ else bits=(rhs->bits^negate) & DECNEG;// RHS must be Infinity ++ bits|=DECINF; ++ decNumberZero(res); ++ res->bits=bits; // set +/- infinity ++ } // an infinity ++ break; ++ } ++ ++ // Quick exit for add 0s; return the non-0, modified as need be ++ if (ISZERO(lhs)) { ++ Int adjust; // work ++ Int lexp=lhs->exponent; // save in case LHS==RES ++ bits=lhs->bits; // .. ++ residue=0; // clear accumulator ++ decCopyFit(res, rhs, set, &residue, status); // copy (as needed) ++ res->bits^=negate; // flip if rhs was negated ++ #if DECSUBSET ++ if (set->extended) { // exponents on zeros count ++ #endif ++ // exponent will be the lower of the two ++ adjust=lexp-res->exponent; // adjustment needed [if -ve] ++ if (ISZERO(res)) { // both 0: special IEEE 754 rules ++ if (adjust<0) res->exponent=lexp; // set exponent ++ // 0-0 gives +0 unless rounding to -infinity, and -0-0 gives -0 ++ if (diffsign) { ++ if (set->round!=DEC_ROUND_FLOOR) res->bits=0; ++ else res->bits=DECNEG; // preserve 0 sign ++ } ++ } ++ else { // non-0 res ++ if (adjust<0) { // 0-padding needed ++ if ((res->digits-adjust)>set->digits) { ++ adjust=res->digits-set->digits; // to fit exactly ++ *status|=DEC_Rounded; // [but exact] ++ } ++ res->digits=decShiftToMost(res->lsu, res->digits, -adjust); ++ res->exponent+=adjust; // set the exponent. ++ } ++ } // non-0 res ++ #if DECSUBSET ++ } // extended ++ #endif ++ decFinish(res, set, &residue, status); // clean and finalize ++ break;} ++ ++ if (ISZERO(rhs)) { // [lhs is non-zero] ++ Int adjust; // work ++ Int rexp=rhs->exponent; // save in case RHS==RES ++ bits=rhs->bits; // be clean ++ residue=0; // clear accumulator ++ decCopyFit(res, lhs, set, &residue, status); // copy (as needed) ++ #if DECSUBSET ++ if (set->extended) { // exponents on zeros count ++ #endif ++ // exponent will be the lower of the two ++ // [0-0 case handled above] ++ adjust=rexp-res->exponent; // adjustment needed [if -ve] ++ if (adjust<0) { // 0-padding needed ++ if ((res->digits-adjust)>set->digits) { ++ adjust=res->digits-set->digits; // to fit exactly ++ *status|=DEC_Rounded; // [but exact] ++ } ++ res->digits=decShiftToMost(res->lsu, res->digits, -adjust); ++ res->exponent+=adjust; // set the exponent. ++ } ++ #if DECSUBSET ++ } // extended ++ #endif ++ decFinish(res, set, &residue, status); // clean and finalize ++ break;} ++ ++ // [NB: both fastpath and mainpath code below assume these cases ++ // (notably 0-0) have already been handled] ++ ++ // calculate the padding needed to align the operands ++ padding=rhs->exponent-lhs->exponent; ++ ++ // Fastpath cases where the numbers are aligned and normal, the RHS ++ // is all in one unit, no operand rounding is needed, and no carry, ++ // lengthening, or borrow is needed ++ if (padding==0 ++ && rhs->digits<=DECDPUN ++ && rhs->exponent>=set->emin // [some normals drop through] ++ && rhs->exponent<=set->emax-set->digits+1 // [could clamp] ++ && rhs->digits<=reqdigits ++ && lhs->digits<=reqdigits) { ++ Int partial=*lhs->lsu; ++ if (!diffsign) { // adding ++ partial+=*rhs->lsu; ++ if ((partial<=DECDPUNMAX) // result fits in unit ++ && (lhs->digits>=DECDPUN || // .. and no digits-count change ++ partial<(Int)powers[lhs->digits])) { // .. ++ if (res!=lhs) decNumberCopy(res, lhs); // not in place ++ *res->lsu=(Unit)partial; // [copy could have overwritten RHS] ++ break; ++ } ++ // else drop out for careful add ++ } ++ else { // signs differ ++ partial-=*rhs->lsu; ++ if (partial>0) { // no borrow needed, and non-0 result ++ if (res!=lhs) decNumberCopy(res, lhs); // not in place ++ *res->lsu=(Unit)partial; ++ // this could have reduced digits [but result>0] ++ res->digits=decGetDigits(res->lsu, D2U(res->digits)); ++ break; ++ } ++ // else drop out for careful subtract ++ } ++ } ++ ++ // Now align (pad) the lhs or rhs so they can be added or ++ // subtracted, as necessary. If one number is much larger than ++ // the other (that is, if in plain form there is a least one ++ // digit between the lowest digit of one and the highest of the ++ // other) padding with up to DIGITS-1 trailing zeros may be ++ // needed; then apply rounding (as exotic rounding modes may be ++ // affected by the residue). ++ rhsshift=0; // rhs shift to left (padding) in Units ++ bits=lhs->bits; // assume sign is that of LHS ++ mult=1; // likely multiplier ++ ++ // [if padding==0 the operands are aligned; no padding is needed] ++ if (padding!=0) { ++ // some padding needed; always pad the RHS, as any required ++ // padding can then be effected by a simple combination of ++ // shifts and a multiply ++ Flag swapped=0; ++ if (padding<0) { // LHS needs the padding ++ const decNumber *t; ++ padding=-padding; // will be +ve ++ bits=(uByte)(rhs->bits^negate); // assumed sign is now that of RHS ++ t=lhs; lhs=rhs; rhs=t; ++ swapped=1; ++ } ++ ++ // If, after pad, rhs would be longer than lhs by digits+1 or ++ // more then lhs cannot affect the answer, except as a residue, ++ // so only need to pad up to a length of DIGITS+1. ++ if (rhs->digits+padding > lhs->digits+reqdigits+1) { ++ // The RHS is sufficient ++ // for residue use the relative sign indication... ++ Int shift=reqdigits-rhs->digits; // left shift needed ++ residue=1; // residue for rounding ++ if (diffsign) residue=-residue; // signs differ ++ // copy, shortening if necessary ++ decCopyFit(res, rhs, set, &residue, status); ++ // if it was already shorter, then need to pad with zeros ++ if (shift>0) { ++ res->digits=decShiftToMost(res->lsu, res->digits, shift); ++ res->exponent-=shift; // adjust the exponent. ++ } ++ // flip the result sign if unswapped and rhs was negated ++ if (!swapped) res->bits^=negate; ++ decFinish(res, set, &residue, status); // done ++ break;} ++ ++ // LHS digits may affect result ++ rhsshift=D2U(padding+1)-1; // this much by Unit shift .. ++ mult=powers[padding-(rhsshift*DECDPUN)]; // .. this by multiplication ++ } // padding needed ++ ++ if (diffsign) mult=-mult; // signs differ ++ ++ // determine the longer operand ++ maxdigits=rhs->digits+padding; // virtual length of RHS ++ if (lhs->digits>maxdigits) maxdigits=lhs->digits; ++ ++ // Decide on the result buffer to use; if possible place directly ++ // into result. ++ acc=res->lsu; // assume add direct to result ++ // If destructive overlap, or the number is too long, or a carry or ++ // borrow to DIGITS+1 might be possible, a buffer must be used. ++ // [Might be worth more sophisticated tests when maxdigits==reqdigits] ++ if ((maxdigits>=reqdigits) // is, or could be, too large ++ || (res==rhs && rhsshift>0)) { // destructive overlap ++ // buffer needed, choose it; units for maxdigits digits will be ++ // needed, +1 Unit for carry or borrow ++ Int need=D2U(maxdigits)+1; ++ acc=accbuff; // assume use local buffer ++ if (need*sizeof(Unit)>sizeof(accbuff)) { ++ // printf("malloc add %ld %ld\n", need, sizeof(accbuff)); ++ allocacc=(Unit *)malloc(need*sizeof(Unit)); ++ if (allocacc==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ acc=allocacc; ++ } ++ } ++ ++ res->bits=(uByte)(bits&DECNEG); // it's now safe to overwrite.. ++ res->exponent=lhs->exponent; // .. operands (even if aliased) ++ ++ #if DECTRACE ++ decDumpAr('A', lhs->lsu, D2U(lhs->digits)); ++ decDumpAr('B', rhs->lsu, D2U(rhs->digits)); ++ printf(" :h: %ld %ld\n", rhsshift, mult); ++ #endif ++ ++ // add [A+B*m] or subtract [A+B*(-m)] ++ res->digits=decUnitAddSub(lhs->lsu, D2U(lhs->digits), ++ rhs->lsu, D2U(rhs->digits), ++ rhsshift, acc, mult) ++ *DECDPUN; // [units -> digits] ++ if (res->digits<0) { // borrowed... ++ res->digits=-res->digits; ++ res->bits^=DECNEG; // flip the sign ++ } ++ #if DECTRACE ++ decDumpAr('+', acc, D2U(res->digits)); ++ #endif ++ ++ // If a buffer was used the result must be copied back, possibly ++ // shortening. (If no buffer was used then the result must have ++ // fit, so can't need rounding and residue must be 0.) ++ residue=0; // clear accumulator ++ if (acc!=res->lsu) { ++ #if DECSUBSET ++ if (set->extended) { // round from first significant digit ++ #endif ++ // remove leading zeros that were added due to rounding up to ++ // integral Units -- before the test for rounding. ++ if (res->digits>reqdigits) ++ res->digits=decGetDigits(acc, D2U(res->digits)); ++ decSetCoeff(res, set, acc, res->digits, &residue, status); ++ #if DECSUBSET ++ } ++ else { // subset arithmetic rounds from original significant digit ++ // May have an underestimate. This only occurs when both ++ // numbers fit in DECDPUN digits and are padding with a ++ // negative multiple (-10, -100...) and the top digit(s) become ++ // 0. (This only matters when using X3.274 rules where the ++ // leading zero could be included in the rounding.) ++ if (res->digitsdigits))=0; // ensure leading 0 is there ++ res->digits=maxdigits; ++ } ++ else { ++ // remove leading zeros that added due to rounding up to ++ // integral Units (but only those in excess of the original ++ // maxdigits length, unless extended) before test for rounding. ++ if (res->digits>reqdigits) { ++ res->digits=decGetDigits(acc, D2U(res->digits)); ++ if (res->digitsdigits=maxdigits; ++ } ++ } ++ decSetCoeff(res, set, acc, res->digits, &residue, status); ++ // Now apply rounding if needed before removing leading zeros. ++ // This is safe because subnormals are not a possibility ++ if (residue!=0) { ++ decApplyRound(res, set, residue, status); ++ residue=0; // did what needed to be done ++ } ++ } // subset ++ #endif ++ } // used buffer ++ ++ // strip leading zeros [these were left on in case of subset subtract] ++ res->digits=decGetDigits(res->lsu, D2U(res->digits)); ++ ++ // apply checks and rounding ++ decFinish(res, set, &residue, status); ++ ++ // "When the sum of two operands with opposite signs is exactly ++ // zero, the sign of that sum shall be '+' in all rounding modes ++ // except round toward -Infinity, in which mode that sign shall be ++ // '-'." [Subset zeros also never have '-', set by decFinish.] ++ if (ISZERO(res) && diffsign ++ #if DECSUBSET ++ && set->extended ++ #endif ++ && (*status&DEC_Inexact)==0) { ++ if (set->round==DEC_ROUND_FLOOR) res->bits|=DECNEG; // sign - ++ else res->bits&=~DECNEG; // sign + ++ } ++ } while(0); // end protected ++ ++ if (allocacc!=NULL) free(allocacc); // drop any storage used ++ #if DECSUBSET ++ if (allocrhs!=NULL) free(allocrhs); // .. ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ #endif ++ return res; ++ } // decAddOp ++ ++/* ------------------------------------------------------------------ */ ++/* decDivideOp -- division operation */ ++/* */ ++/* This routine performs the calculations for all four division */ ++/* operators (divide, divideInteger, remainder, remainderNear). */ ++/* */ ++/* C=A op B */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X/X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* op is DIVIDE, DIVIDEINT, REMAINDER, or REMNEAR respectively. */ ++/* status is the usual accumulator */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* ------------------------------------------------------------------ */ ++/* The underlying algorithm of this routine is the same as in the */ ++/* 1981 S/370 implementation, that is, non-restoring long division */ ++/* with bi-unit (rather than bi-digit) estimation for each unit */ ++/* multiplier. In this pseudocode overview, complications for the */ ++/* Remainder operators and division residues for exact rounding are */ ++/* omitted for clarity. */ ++/* */ ++/* Prepare operands and handle special values */ ++/* Test for x/0 and then 0/x */ ++/* Exp =Exp1 - Exp2 */ ++/* Exp =Exp +len(var1) -len(var2) */ ++/* Sign=Sign1 * Sign2 */ ++/* Pad accumulator (Var1) to double-length with 0's (pad1) */ ++/* Pad Var2 to same length as Var1 */ ++/* msu2pair/plus=1st 2 or 1 units of var2, +1 to allow for round */ ++/* have=0 */ ++/* Do until (have=digits+1 OR residue=0) */ ++/* if exp<0 then if integer divide/residue then leave */ ++/* this_unit=0 */ ++/* Do forever */ ++/* compare numbers */ ++/* if <0 then leave inner_loop */ ++/* if =0 then (* quick exit without subtract *) do */ ++/* this_unit=this_unit+1; output this_unit */ ++/* leave outer_loop; end */ ++/* Compare lengths of numbers (mantissae): */ ++/* If same then tops2=msu2pair -- {units 1&2 of var2} */ ++/* else tops2=msu2plus -- {0, unit 1 of var2} */ ++/* tops1=first_unit_of_Var1*10**DECDPUN +second_unit_of_var1 */ ++/* mult=tops1/tops2 -- Good and safe guess at divisor */ ++/* if mult=0 then mult=1 */ ++/* this_unit=this_unit+mult */ ++/* subtract */ ++/* end inner_loop */ ++/* if have\=0 | this_unit\=0 then do */ ++/* output this_unit */ ++/* have=have+1; end */ ++/* var2=var2/10 */ ++/* exp=exp-1 */ ++/* end outer_loop */ ++/* exp=exp+1 -- set the proper exponent */ ++/* if have=0 then generate answer=0 */ ++/* Return (Result is defined by Var1) */ ++/* */ ++/* ------------------------------------------------------------------ */ ++/* Two working buffers are needed during the division; one (digits+ */ ++/* 1) to accumulate the result, and the other (up to 2*digits+1) for */ ++/* long subtractions. These are acc and var1 respectively. */ ++/* var1 is a copy of the lhs coefficient, var2 is the rhs coefficient.*/ ++/* The static buffers may be larger than might be expected to allow */ ++/* for calls from higher-level funtions (notable exp). */ ++/* ------------------------------------------------------------------ */ ++static decNumber * decDivideOp(decNumber *res, ++ const decNumber *lhs, const decNumber *rhs, ++ decContext *set, Flag op, uInt *status) { ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated ++ decNumber *allocrhs=NULL; // .., rhs ++ #endif ++ Unit accbuff[SD2U(DECBUFFER+DECDPUN+10)]; // local buffer ++ Unit *acc=accbuff; // -> accumulator array for result ++ Unit *allocacc=NULL; // -> allocated buffer, iff allocated ++ Unit *accnext; // -> where next digit will go ++ Int acclength; // length of acc needed [Units] ++ Int accunits; // count of units accumulated ++ Int accdigits; // count of digits accumulated ++ ++ Unit varbuff[SD2U(DECBUFFER*2+DECDPUN)]; // buffer for var1 ++ Unit *var1=varbuff; // -> var1 array for long subtraction ++ Unit *varalloc=NULL; // -> allocated buffer, iff used ++ Unit *msu1; // -> msu of var1 ++ ++ const Unit *var2; // -> var2 array ++ const Unit *msu2; // -> msu of var2 ++ Int msu2plus; // msu2 plus one [does not vary] ++ eInt msu2pair; // msu2 pair plus one [does not vary] ++ ++ Int var1units, var2units; // actual lengths ++ Int var2ulen; // logical length (units) ++ Int var1initpad=0; // var1 initial padding (digits) ++ Int maxdigits; // longest LHS or required acc length ++ Int mult; // multiplier for subtraction ++ Unit thisunit; // current unit being accumulated ++ Int residue; // for rounding ++ Int reqdigits=set->digits; // requested DIGITS ++ Int exponent; // working exponent ++ Int maxexponent=0; // DIVIDE maximum exponent if unrounded ++ uByte bits; // working sign ++ Unit *target; // work ++ const Unit *source; // .. ++ uInt const *pow; // .. ++ Int shift, cut; // .. ++ #if DECSUBSET ++ Int dropped; // work ++ #endif ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operands and set lostDigits status, as needed ++ if (lhs->digits>reqdigits) { ++ alloclhs=decRoundOperand(lhs, set, status); ++ if (alloclhs==NULL) break; ++ lhs=alloclhs; ++ } ++ if (rhs->digits>reqdigits) { ++ allocrhs=decRoundOperand(rhs, set, status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ bits=(lhs->bits^rhs->bits)&DECNEG; // assumed sign for divisions ++ ++ // handle infinities and NaNs ++ if (SPECIALARGS) { // a special bit set ++ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs ++ decNaNs(res, lhs, rhs, set, status); ++ break; ++ } ++ // one or two infinities ++ if (decNumberIsInfinite(lhs)) { // LHS (dividend) is infinite ++ if (decNumberIsInfinite(rhs) || // two infinities are invalid .. ++ op & (REMAINDER | REMNEAR)) { // as is remainder of infinity ++ *status|=DEC_Invalid_operation; ++ break; ++ } ++ // [Note that infinity/0 raises no exceptions] ++ decNumberZero(res); ++ res->bits=bits|DECINF; // set +/- infinity ++ break; ++ } ++ else { // RHS (divisor) is infinite ++ residue=0; ++ if (op&(REMAINDER|REMNEAR)) { ++ // result is [finished clone of] lhs ++ decCopyFit(res, lhs, set, &residue, status); ++ } ++ else { // a division ++ decNumberZero(res); ++ res->bits=bits; // set +/- zero ++ // for DIVIDEINT the exponent is always 0. For DIVIDE, result ++ // is a 0 with infinitely negative exponent, clamped to minimum ++ if (op&DIVIDE) { ++ res->exponent=set->emin-set->digits+1; ++ *status|=DEC_Clamped; ++ } ++ } ++ decFinish(res, set, &residue, status); ++ break; ++ } ++ } ++ ++ // handle 0 rhs (x/0) ++ if (ISZERO(rhs)) { // x/0 is always exceptional ++ if (ISZERO(lhs)) { ++ decNumberZero(res); // [after lhs test] ++ *status|=DEC_Division_undefined;// 0/0 will become NaN ++ } ++ else { ++ decNumberZero(res); ++ if (op&(REMAINDER|REMNEAR)) *status|=DEC_Invalid_operation; ++ else { ++ *status|=DEC_Division_by_zero; // x/0 ++ res->bits=bits|DECINF; // .. is +/- Infinity ++ } ++ } ++ break;} ++ ++ // handle 0 lhs (0/x) ++ if (ISZERO(lhs)) { // 0/x [x!=0] ++ #if DECSUBSET ++ if (!set->extended) decNumberZero(res); ++ else { ++ #endif ++ if (op&DIVIDE) { ++ residue=0; ++ exponent=lhs->exponent-rhs->exponent; // ideal exponent ++ decNumberCopy(res, lhs); // [zeros always fit] ++ res->bits=bits; // sign as computed ++ res->exponent=exponent; // exponent, too ++ decFinalize(res, set, &residue, status); // check exponent ++ } ++ else if (op&DIVIDEINT) { ++ decNumberZero(res); // integer 0 ++ res->bits=bits; // sign as computed ++ } ++ else { // a remainder ++ exponent=rhs->exponent; // [save in case overwrite] ++ decNumberCopy(res, lhs); // [zeros always fit] ++ if (exponentexponent) res->exponent=exponent; // use lower ++ } ++ #if DECSUBSET ++ } ++ #endif ++ break;} ++ ++ // Precalculate exponent. This starts off adjusted (and hence fits ++ // in 31 bits) and becomes the usual unadjusted exponent as the ++ // division proceeds. The order of evaluation is important, here, ++ // to avoid wrap. ++ exponent=(lhs->exponent+lhs->digits)-(rhs->exponent+rhs->digits); ++ ++ // If the working exponent is -ve, then some quick exits are ++ // possible because the quotient is known to be <1 ++ // [for REMNEAR, it needs to be < -1, as -0.5 could need work] ++ if (exponent<0 && !(op==DIVIDE)) { ++ if (op&DIVIDEINT) { ++ decNumberZero(res); // integer part is 0 ++ #if DECSUBSET ++ if (set->extended) ++ #endif ++ res->bits=bits; // set +/- zero ++ break;} ++ // fastpath remainders so long as the lhs has the smaller ++ // (or equal) exponent ++ if (lhs->exponent<=rhs->exponent) { ++ if (op&REMAINDER || exponent<-1) { ++ // It is REMAINDER or safe REMNEAR; result is [finished ++ // clone of] lhs (r = x - 0*y) ++ residue=0; ++ decCopyFit(res, lhs, set, &residue, status); ++ decFinish(res, set, &residue, status); ++ break; ++ } ++ // [unsafe REMNEAR drops through] ++ } ++ } // fastpaths ++ ++ /* Long (slow) division is needed; roll up the sleeves... */ ++ ++ // The accumulator will hold the quotient of the division. ++ // If it needs to be too long for stack storage, then allocate. ++ acclength=D2U(reqdigits+DECDPUN); // in Units ++ if (acclength*sizeof(Unit)>sizeof(accbuff)) { ++ // printf("malloc dvacc %ld units\n", acclength); ++ allocacc=(Unit *)malloc(acclength*sizeof(Unit)); ++ if (allocacc==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ acc=allocacc; // use the allocated space ++ } ++ ++ // var1 is the padded LHS ready for subtractions. ++ // If it needs to be too long for stack storage, then allocate. ++ // The maximum units needed for var1 (long subtraction) is: ++ // Enough for ++ // (rhs->digits+reqdigits-1) -- to allow full slide to right ++ // or (lhs->digits) -- to allow for long lhs ++ // whichever is larger ++ // +1 -- for rounding of slide to right ++ // +1 -- for leading 0s ++ // +1 -- for pre-adjust if a remainder or DIVIDEINT ++ // [Note: unused units do not participate in decUnitAddSub data] ++ maxdigits=rhs->digits+reqdigits-1; ++ if (lhs->digits>maxdigits) maxdigits=lhs->digits; ++ var1units=D2U(maxdigits)+2; ++ // allocate a guard unit above msu1 for REMAINDERNEAR ++ if (!(op&DIVIDE)) var1units++; ++ if ((var1units+1)*sizeof(Unit)>sizeof(varbuff)) { ++ // printf("malloc dvvar %ld units\n", var1units+1); ++ varalloc=(Unit *)malloc((var1units+1)*sizeof(Unit)); ++ if (varalloc==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ var1=varalloc; // use the allocated space ++ } ++ ++ // Extend the lhs and rhs to full long subtraction length. The lhs ++ // is truly extended into the var1 buffer, with 0 padding, so a ++ // subtract in place is always possible. The rhs (var2) has ++ // virtual padding (implemented by decUnitAddSub). ++ // One guard unit was allocated above msu1 for rem=rem+rem in ++ // REMAINDERNEAR. ++ msu1=var1+var1units-1; // msu of var1 ++ source=lhs->lsu+D2U(lhs->digits)-1; // msu of input array ++ for (target=msu1; source>=lhs->lsu; source--, target--) *target=*source; ++ for (; target>=var1; target--) *target=0; ++ ++ // rhs (var2) is left-aligned with var1 at the start ++ var2ulen=var1units; // rhs logical length (units) ++ var2units=D2U(rhs->digits); // rhs actual length (units) ++ var2=rhs->lsu; // -> rhs array ++ msu2=var2+var2units-1; // -> msu of var2 [never changes] ++ // now set up the variables which will be used for estimating the ++ // multiplication factor. If these variables are not exact, add ++ // 1 to make sure that the multiplier is never overestimated. ++ msu2plus=*msu2; // it's value .. ++ if (var2units>1) msu2plus++; // .. +1 if any more ++ msu2pair=(eInt)*msu2*(DECDPUNMAX+1);// top two pair .. ++ if (var2units>1) { // .. [else treat 2nd as 0] ++ msu2pair+=*(msu2-1); // .. ++ if (var2units>2) msu2pair++; // .. +1 if any more ++ } ++ ++ // The calculation is working in units, which may have leading zeros, ++ // but the exponent was calculated on the assumption that they are ++ // both left-aligned. Adjust the exponent to compensate: add the ++ // number of leading zeros in var1 msu and subtract those in var2 msu. ++ // [This is actually done by counting the digits and negating, as ++ // lead1=DECDPUN-digits1, and similarly for lead2.] ++ for (pow=&powers[1]; *msu1>=*pow; pow++) exponent--; ++ for (pow=&powers[1]; *msu2>=*pow; pow++) exponent++; ++ ++ // Now, if doing an integer divide or remainder, ensure that ++ // the result will be Unit-aligned. To do this, shift the var1 ++ // accumulator towards least if need be. (It's much easier to ++ // do this now than to reassemble the residue afterwards, if ++ // doing a remainder.) Also ensure the exponent is not negative. ++ if (!(op&DIVIDE)) { ++ Unit *u; // work ++ // save the initial 'false' padding of var1, in digits ++ var1initpad=(var1units-D2U(lhs->digits))*DECDPUN; ++ // Determine the shift to do. ++ if (exponent<0) cut=-exponent; ++ else cut=DECDPUN-exponent%DECDPUN; ++ decShiftToLeast(var1, var1units, cut); ++ exponent+=cut; // maintain numerical value ++ var1initpad-=cut; // .. and reduce padding ++ // clean any most-significant units which were just emptied ++ for (u=msu1; cut>=DECDPUN; cut-=DECDPUN, u--) *u=0; ++ } // align ++ else { // is DIVIDE ++ maxexponent=lhs->exponent-rhs->exponent; // save ++ // optimization: if the first iteration will just produce 0, ++ // preadjust to skip it [valid for DIVIDE only] ++ if (*msu1<*msu2) { ++ var2ulen--; // shift down ++ exponent-=DECDPUN; // update the exponent ++ } ++ } ++ ++ // ---- start the long-division loops ------------------------------ ++ accunits=0; // no units accumulated yet ++ accdigits=0; // .. or digits ++ accnext=acc+acclength-1; // -> msu of acc [NB: allows digits+1] ++ for (;;) { // outer forever loop ++ thisunit=0; // current unit assumed 0 ++ // find the next unit ++ for (;;) { // inner forever loop ++ // strip leading zero units [from either pre-adjust or from ++ // subtract last time around]. Leave at least one unit. ++ for (; *msu1==0 && msu1>var1; msu1--) var1units--; ++ ++ if (var1units msu ++ for (pv1=msu1; ; pv1--, pv2--) { ++ // v1=*pv1 -- always OK ++ v2=0; // assume in padding ++ if (pv2>=var2) v2=*pv2; // in range ++ if (*pv1!=v2) break; // no longer the same ++ if (pv1==var1) break; // done; leave pv1 as is ++ } ++ // here when all inspected or a difference seen ++ if (*pv1v2. Prepare for real subtraction; the lengths are equal ++ // Estimate the multiplier (there's always a msu1-1)... ++ // Bring in two units of var2 to provide a good estimate. ++ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2pair); ++ } // lengths the same ++ else { // var1units > var2ulen, so subtraction is safe ++ // The var2 msu is one unit towards the lsu of the var1 msu, ++ // so only one unit for var2 can be used. ++ mult=(Int)(((eInt)*msu1*(DECDPUNMAX+1)+*(msu1-1))/msu2plus); ++ } ++ if (mult==0) mult=1; // must always be at least 1 ++ // subtraction needed; var1 is > var2 ++ thisunit=(Unit)(thisunit+mult); // accumulate ++ // subtract var1-var2, into var1; only the overlap needs ++ // processing, as this is an in-place calculation ++ shift=var2ulen-var2units; ++ #if DECTRACE ++ decDumpAr('1', &var1[shift], var1units-shift); ++ decDumpAr('2', var2, var2units); ++ printf("m=%ld\n", -mult); ++ #endif ++ decUnitAddSub(&var1[shift], var1units-shift, ++ var2, var2units, 0, ++ &var1[shift], -mult); ++ #if DECTRACE ++ decDumpAr('#', &var1[shift], var1units-shift); ++ #endif ++ // var1 now probably has leading zeros; these are removed at the ++ // top of the inner loop. ++ } // inner loop ++ ++ // The next unit has been calculated in full; unless it's a ++ // leading zero, add to acc ++ if (accunits!=0 || thisunit!=0) { // is first or non-zero ++ *accnext=thisunit; // store in accumulator ++ // account exactly for the new digits ++ if (accunits==0) { ++ accdigits++; // at least one ++ for (pow=&powers[1]; thisunit>=*pow; pow++) accdigits++; ++ } ++ else accdigits+=DECDPUN; ++ accunits++; // update count ++ accnext--; // ready for next ++ if (accdigits>reqdigits) break; // have enough digits ++ } ++ ++ // if the residue is zero, the operation is done (unless divide ++ // or divideInteger and still not enough digits yet) ++ if (*var1==0 && var1units==1) { // residue is 0 ++ if (op&(REMAINDER|REMNEAR)) break; ++ if ((op&DIVIDE) && (exponent<=maxexponent)) break; ++ // [drop through if divideInteger] ++ } ++ // also done enough if calculating remainder or integer ++ // divide and just did the last ('units') unit ++ if (exponent==0 && !(op&DIVIDE)) break; ++ ++ // to get here, var1 is less than var2, so divide var2 by the per- ++ // Unit power of ten and go for the next digit ++ var2ulen--; // shift down ++ exponent-=DECDPUN; // update the exponent ++ } // outer loop ++ ++ // ---- division is complete --------------------------------------- ++ // here: acc has at least reqdigits+1 of good results (or fewer ++ // if early stop), starting at accnext+1 (its lsu) ++ // var1 has any residue at the stopping point ++ // accunits is the number of digits collected in acc ++ if (accunits==0) { // acc is 0 ++ accunits=1; // show have a unit .. ++ accdigits=1; // .. ++ *accnext=0; // .. whose value is 0 ++ } ++ else accnext++; // back to last placed ++ // accnext now -> lowest unit of result ++ ++ residue=0; // assume no residue ++ if (op&DIVIDE) { ++ // record the presence of any residue, for rounding ++ if (*var1!=0 || var1units>1) residue=1; ++ else { // no residue ++ // Had an exact division; clean up spurious trailing 0s. ++ // There will be at most DECDPUN-1, from the final multiply, ++ // and then only if the result is non-0 (and even) and the ++ // exponent is 'loose'. ++ #if DECDPUN>1 ++ Unit lsu=*accnext; ++ if (!(lsu&0x01) && (lsu!=0)) { ++ // count the trailing zeros ++ Int drop=0; ++ for (;; drop++) { // [will terminate because lsu!=0] ++ if (exponent>=maxexponent) break; // don't chop real 0s ++ #if DECDPUN<=4 ++ if ((lsu-QUOT10(lsu, drop+1) ++ *powers[drop+1])!=0) break; // found non-0 digit ++ #else ++ if (lsu%powers[drop+1]!=0) break; // found non-0 digit ++ #endif ++ exponent++; ++ } ++ if (drop>0) { ++ accunits=decShiftToLeast(accnext, accunits, drop); ++ accdigits=decGetDigits(accnext, accunits); ++ accunits=D2U(accdigits); ++ // [exponent was adjusted in the loop] ++ } ++ } // neither odd nor 0 ++ #endif ++ } // exact divide ++ } // divide ++ else /* op!=DIVIDE */ { ++ // check for coefficient overflow ++ if (accdigits+exponent>reqdigits) { ++ *status|=DEC_Division_impossible; ++ break; ++ } ++ if (op & (REMAINDER|REMNEAR)) { ++ // [Here, the exponent will be 0, because var1 was adjusted ++ // appropriately.] ++ Int postshift; // work ++ Flag wasodd=0; // integer was odd ++ Unit *quotlsu; // for save ++ Int quotdigits; // .. ++ ++ bits=lhs->bits; // remainder sign is always as lhs ++ ++ // Fastpath when residue is truly 0 is worthwhile [and ++ // simplifies the code below] ++ if (*var1==0 && var1units==1) { // residue is 0 ++ Int exp=lhs->exponent; // save min(exponents) ++ if (rhs->exponentexponent; ++ decNumberZero(res); // 0 coefficient ++ #if DECSUBSET ++ if (set->extended) ++ #endif ++ res->exponent=exp; // .. with proper exponent ++ res->bits=(uByte)(bits&DECNEG); // [cleaned] ++ decFinish(res, set, &residue, status); // might clamp ++ break; ++ } ++ // note if the quotient was odd ++ if (*accnext & 0x01) wasodd=1; // acc is odd ++ quotlsu=accnext; // save in case need to reinspect ++ quotdigits=accdigits; // .. ++ ++ // treat the residue, in var1, as the value to return, via acc ++ // calculate the unused zero digits. This is the smaller of: ++ // var1 initial padding (saved above) ++ // var2 residual padding, which happens to be given by: ++ postshift=var1initpad+exponent-lhs->exponent+rhs->exponent; ++ // [the 'exponent' term accounts for the shifts during divide] ++ if (var1initpadexponent; // exponent is smaller of lhs & rhs ++ if (rhs->exponentexponent; ++ ++ // Now correct the result if doing remainderNear; if it ++ // (looking just at coefficients) is > rhs/2, or == rhs/2 and ++ // the integer was odd then the result should be rem-rhs. ++ if (op&REMNEAR) { ++ Int compare, tarunits; // work ++ Unit *up; // .. ++ // calculate remainder*2 into the var1 buffer (which has ++ // 'headroom' of an extra unit and hence enough space) ++ // [a dedicated 'double' loop would be faster, here] ++ tarunits=decUnitAddSub(accnext, accunits, accnext, accunits, ++ 0, accnext, 1); ++ // decDumpAr('r', accnext, tarunits); ++ ++ // Here, accnext (var1) holds tarunits Units with twice the ++ // remainder's coefficient, which must now be compared to the ++ // RHS. The remainder's exponent may be smaller than the RHS's. ++ compare=decUnitCompare(accnext, tarunits, rhs->lsu, D2U(rhs->digits), ++ rhs->exponent-exponent); ++ if (compare==BADINT) { // deep trouble ++ *status|=DEC_Insufficient_storage; ++ break;} ++ ++ // now restore the remainder by dividing by two; the lsu ++ // is known to be even. ++ for (up=accnext; up0 || (compare==0 && wasodd)) { // adjustment needed ++ Int exp, expunits, exprem; // work ++ // This is effectively causing round-up of the quotient, ++ // so if it was the rare case where it was full and all ++ // nines, it would overflow and hence division-impossible ++ // should be raised ++ Flag allnines=0; // 1 if quotient all nines ++ if (quotdigits==reqdigits) { // could be borderline ++ for (up=quotlsu; ; up++) { ++ if (quotdigits>DECDPUN) { ++ if (*up!=DECDPUNMAX) break;// non-nines ++ } ++ else { // this is the last Unit ++ if (*up==powers[quotdigits]-1) allnines=1; ++ break; ++ } ++ quotdigits-=DECDPUN; // checked those digits ++ } // up ++ } // borderline check ++ if (allnines) { ++ *status|=DEC_Division_impossible; ++ break;} ++ ++ // rem-rhs is needed; the sign will invert. Again, var1 ++ // can safely be used for the working Units array. ++ exp=rhs->exponent-exponent; // RHS padding needed ++ // Calculate units and remainder from exponent. ++ expunits=exp/DECDPUN; ++ exprem=exp%DECDPUN; ++ // subtract [A+B*(-m)]; the result will always be negative ++ accunits=-decUnitAddSub(accnext, accunits, ++ rhs->lsu, D2U(rhs->digits), ++ expunits, accnext, -(Int)powers[exprem]); ++ accdigits=decGetDigits(accnext, accunits); // count digits exactly ++ accunits=D2U(accdigits); // and recalculate the units for copy ++ // [exponent is as for original remainder] ++ bits^=DECNEG; // flip the sign ++ } ++ } // REMNEAR ++ } // REMAINDER or REMNEAR ++ } // not DIVIDE ++ ++ // Set exponent and bits ++ res->exponent=exponent; ++ res->bits=(uByte)(bits&DECNEG); // [cleaned] ++ ++ // Now the coefficient. ++ decSetCoeff(res, set, accnext, accdigits, &residue, status); ++ ++ decFinish(res, set, &residue, status); // final cleanup ++ ++ #if DECSUBSET ++ // If a divide then strip trailing zeros if subset [after round] ++ if (!set->extended && (op==DIVIDE)) decTrim(res, set, 0, 1, &dropped); ++ #endif ++ } while(0); // end protected ++ ++ if (varalloc!=NULL) free(varalloc); // drop any storage used ++ if (allocacc!=NULL) free(allocacc); // .. ++ #if DECSUBSET ++ if (allocrhs!=NULL) free(allocrhs); // .. ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ #endif ++ return res; ++ } // decDivideOp ++ ++/* ------------------------------------------------------------------ */ ++/* decMultiplyOp -- multiplication operation */ ++/* */ ++/* This routine performs the multiplication C=A x B. */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X*X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* status is the usual accumulator */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* ------------------------------------------------------------------ */ ++/* 'Classic' multiplication is used rather than Karatsuba, as the */ ++/* latter would give only a minor improvement for the short numbers */ ++/* expected to be handled most (and uses much more memory). */ ++/* */ ++/* There are two major paths here: the general-purpose ('old code') */ ++/* path which handles all DECDPUN values, and a fastpath version */ ++/* which is used if 64-bit ints are available, DECDPUN<=4, and more */ ++/* than two calls to decUnitAddSub would be made. */ ++/* */ ++/* The fastpath version lumps units together into 8-digit or 9-digit */ ++/* chunks, and also uses a lazy carry strategy to minimise expensive */ ++/* 64-bit divisions. The chunks are then broken apart again into */ ++/* units for continuing processing. Despite this overhead, the */ ++/* fastpath can speed up some 16-digit operations by 10x (and much */ ++/* more for higher-precision calculations). */ ++/* */ ++/* A buffer always has to be used for the accumulator; in the */ ++/* fastpath, buffers are also always needed for the chunked copies of */ ++/* of the operand coefficients. */ ++/* Static buffers are larger than needed just for multiply, to allow */ ++/* for calls from other operations (notably exp). */ ++/* ------------------------------------------------------------------ */ ++#define FASTMUL (DECUSE64 && DECDPUN<5) ++static decNumber * decMultiplyOp(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set, ++ uInt *status) { ++ Int accunits; // Units of accumulator in use ++ Int exponent; // work ++ Int residue=0; // rounding residue ++ uByte bits; // result sign ++ Unit *acc; // -> accumulator Unit array ++ Int needbytes; // size calculator ++ void *allocacc=NULL; // -> allocated accumulator, iff allocated ++ Unit accbuff[SD2U(DECBUFFER*4+1)]; // buffer (+1 for DECBUFFER==0, ++ // *4 for calls from other operations) ++ const Unit *mer, *mermsup; // work ++ Int madlength; // Units in multiplicand ++ Int shift; // Units to shift multiplicand by ++ ++ #if FASTMUL ++ // if DECDPUN is 1 or 3 work in base 10**9, otherwise ++ // (DECDPUN is 2 or 4) then work in base 10**8 ++ #if DECDPUN & 1 // odd ++ #define FASTBASE 1000000000 // base ++ #define FASTDIGS 9 // digits in base ++ #define FASTLAZY 18 // carry resolution point [1->18] ++ #else ++ #define FASTBASE 100000000 ++ #define FASTDIGS 8 ++ #define FASTLAZY 1844 // carry resolution point [1->1844] ++ #endif ++ // three buffers are used, two for chunked copies of the operands ++ // (base 10**8 or base 10**9) and one base 2**64 accumulator with ++ // lazy carry evaluation ++ uInt zlhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0) ++ uInt *zlhi=zlhibuff; // -> lhs array ++ uInt *alloclhi=NULL; // -> allocated buffer, iff allocated ++ uInt zrhibuff[(DECBUFFER*2+1)/8+1]; // buffer (+1 for DECBUFFER==0) ++ uInt *zrhi=zrhibuff; // -> rhs array ++ uInt *allocrhi=NULL; // -> allocated buffer, iff allocated ++ uLong zaccbuff[(DECBUFFER*2+1)/4+2]; // buffer (+1 for DECBUFFER==0) ++ // [allocacc is shared for both paths, as only one will run] ++ uLong *zacc=zaccbuff; // -> accumulator array for exact result ++ #if DECDPUN==1 ++ Int zoff; // accumulator offset ++ #endif ++ uInt *lip, *rip; // item pointers ++ uInt *lmsi, *rmsi; // most significant items ++ Int ilhs, irhs, iacc; // item counts in the arrays ++ Int lazy; // lazy carry counter ++ uLong lcarry; // uLong carry ++ uInt carry; // carry (NB not uLong) ++ Int count; // work ++ const Unit *cup; // .. ++ Unit *up; // .. ++ uLong *lp; // .. ++ Int p; // .. ++ #endif ++ ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // -> allocated buffer, iff allocated ++ decNumber *allocrhs=NULL; // -> allocated buffer, iff allocated ++ #endif ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ // precalculate result sign ++ bits=(uByte)((lhs->bits^rhs->bits)&DECNEG); ++ ++ // handle infinities and NaNs ++ if (SPECIALARGS) { // a special bit set ++ if (SPECIALARGS & (DECSNAN | DECNAN)) { // one or two NaNs ++ decNaNs(res, lhs, rhs, set, status); ++ return res;} ++ // one or two infinities; Infinity * 0 is invalid ++ if (((lhs->bits & DECINF)==0 && ISZERO(lhs)) ++ ||((rhs->bits & DECINF)==0 && ISZERO(rhs))) { ++ *status|=DEC_Invalid_operation; ++ return res;} ++ decNumberZero(res); ++ res->bits=bits|DECINF; // infinity ++ return res;} ++ ++ // For best speed, as in DMSRCN [the original Rexx numerics ++ // module], use the shorter number as the multiplier (rhs) and ++ // the longer as the multiplicand (lhs) to minimise the number of ++ // adds (partial products) ++ if (lhs->digitsdigits) { // swap... ++ const decNumber *hold=lhs; ++ lhs=rhs; ++ rhs=hold; ++ } ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operands and set lostDigits status, as needed ++ if (lhs->digits>set->digits) { ++ alloclhs=decRoundOperand(lhs, set, status); ++ if (alloclhs==NULL) break; ++ lhs=alloclhs; ++ } ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ #if FASTMUL // fastpath can be used ++ // use the fast path if there are enough digits in the shorter ++ // operand to make the setup and takedown worthwhile ++ #define NEEDTWO (DECDPUN*2) // within two decUnitAddSub calls ++ if (rhs->digits>NEEDTWO) { // use fastpath... ++ // calculate the number of elements in each array ++ ilhs=(lhs->digits+FASTDIGS-1)/FASTDIGS; // [ceiling] ++ irhs=(rhs->digits+FASTDIGS-1)/FASTDIGS; // .. ++ iacc=ilhs+irhs; ++ ++ // allocate buffers if required, as usual ++ needbytes=ilhs*sizeof(uInt); ++ if (needbytes>(Int)sizeof(zlhibuff)) { ++ alloclhi=(uInt *)malloc(needbytes); ++ zlhi=alloclhi;} ++ needbytes=irhs*sizeof(uInt); ++ if (needbytes>(Int)sizeof(zrhibuff)) { ++ allocrhi=(uInt *)malloc(needbytes); ++ zrhi=allocrhi;} ++ ++ // Allocating the accumulator space needs a special case when ++ // DECDPUN=1 because when converting the accumulator to Units ++ // after the multiplication each 8-byte item becomes 9 1-byte ++ // units. Therefore iacc extra bytes are needed at the front ++ // (rounded up to a multiple of 8 bytes), and the uLong ++ // accumulator starts offset the appropriate number of units ++ // to the right to avoid overwrite during the unchunking. ++ needbytes=iacc*sizeof(uLong); ++ #if DECDPUN==1 ++ zoff=(iacc+7)/8; // items to offset by ++ needbytes+=zoff*8; ++ #endif ++ if (needbytes>(Int)sizeof(zaccbuff)) { ++ allocacc=(uLong *)malloc(needbytes); ++ zacc=(uLong *)allocacc;} ++ if (zlhi==NULL||zrhi==NULL||zacc==NULL) { ++ *status|=DEC_Insufficient_storage; ++ break;} ++ ++ acc=(Unit *)zacc; // -> target Unit array ++ #if DECDPUN==1 ++ zacc+=zoff; // start uLong accumulator to right ++ #endif ++ ++ // assemble the chunked copies of the left and right sides ++ for (count=lhs->digits, cup=lhs->lsu, lip=zlhi; count>0; lip++) ++ for (p=0, *lip=0; p0; ++ p+=DECDPUN, cup++, count-=DECDPUN) ++ *lip+=*cup*powers[p]; ++ lmsi=lip-1; // save -> msi ++ for (count=rhs->digits, cup=rhs->lsu, rip=zrhi; count>0; rip++) ++ for (p=0, *rip=0; p0; ++ p+=DECDPUN, cup++, count-=DECDPUN) ++ *rip+=*cup*powers[p]; ++ rmsi=rip-1; // save -> msi ++ ++ // zero the accumulator ++ for (lp=zacc; lp0 && rip!=rmsi) continue; ++ lazy=FASTLAZY; // reset delay count ++ // spin up the accumulator resolving overflows ++ for (lp=zacc; lp assume buffer for accumulator ++ needbytes=(D2U(lhs->digits)+D2U(rhs->digits))*sizeof(Unit); ++ if (needbytes>(Int)sizeof(accbuff)) { ++ allocacc=(Unit *)malloc(needbytes); ++ if (allocacc==NULL) {*status|=DEC_Insufficient_storage; break;} ++ acc=(Unit *)allocacc; // use the allocated space ++ } ++ ++ /* Now the main long multiplication loop */ ++ // Unlike the equivalent in the IBM Java implementation, there ++ // is no advantage in calculating from msu to lsu. So, do it ++ // by the book, as it were. ++ // Each iteration calculates ACC=ACC+MULTAND*MULT ++ accunits=1; // accumulator starts at '0' ++ *acc=0; // .. (lsu=0) ++ shift=0; // no multiplicand shift at first ++ madlength=D2U(lhs->digits); // this won't change ++ mermsup=rhs->lsu+D2U(rhs->digits); // -> msu+1 of multiplier ++ ++ for (mer=rhs->lsu; merlsu, madlength, 0, ++ &acc[shift], *mer) ++ + shift; ++ else { // extend acc with a 0; it will be used shortly ++ *(acc+accunits)=0; // [this avoids length of <=0 later] ++ accunits++; ++ } ++ // multiply multiplicand by 10**DECDPUN for next Unit to left ++ shift++; // add this for 'logical length' ++ } // n ++ #if FASTMUL ++ } // unchunked units ++ #endif ++ // common end-path ++ #if DECTRACE ++ decDumpAr('*', acc, accunits); // Show exact result ++ #endif ++ ++ // acc now contains the exact result of the multiplication, ++ // possibly with a leading zero unit; build the decNumber from ++ // it, noting if any residue ++ res->bits=bits; // set sign ++ res->digits=decGetDigits(acc, accunits); // count digits exactly ++ ++ // There can be a 31-bit wrap in calculating the exponent. ++ // This can only happen if both input exponents are negative and ++ // both their magnitudes are large. If there was a wrap, set a ++ // safe very negative exponent, from which decFinalize() will ++ // raise a hard underflow shortly. ++ exponent=lhs->exponent+rhs->exponent; // calculate exponent ++ if (lhs->exponent<0 && rhs->exponent<0 && exponent>0) ++ exponent=-2*DECNUMMAXE; // force underflow ++ res->exponent=exponent; // OK to overwrite now ++ ++ ++ // Set the coefficient. If any rounding, residue records ++ decSetCoeff(res, set, acc, res->digits, &residue, status); ++ decFinish(res, set, &residue, status); // final cleanup ++ } while(0); // end protected ++ ++ if (allocacc!=NULL) free(allocacc); // drop any storage used ++ #if DECSUBSET ++ if (allocrhs!=NULL) free(allocrhs); // .. ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ #endif ++ #if FASTMUL ++ if (allocrhi!=NULL) free(allocrhi); // .. ++ if (alloclhi!=NULL) free(alloclhi); // .. ++ #endif ++ return res; ++ } // decMultiplyOp ++ ++/* ------------------------------------------------------------------ */ ++/* decExpOp -- effect exponentiation */ ++/* */ ++/* This computes C = exp(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. status is updated but */ ++/* not set. */ ++/* */ ++/* Restrictions: */ ++/* */ ++/* digits, emax, and -emin in the context must be less than */ ++/* 2*DEC_MAX_MATH (1999998), and the rhs must be within these */ ++/* bounds or a zero. This is an internal routine, so these */ ++/* restrictions are contractual and not enforced. */ ++/* */ ++/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* */ ++/* Finite results will always be full precision and Inexact, except */ ++/* when A is a zero or -Infinity (giving 1 or 0 respectively). */ ++/* ------------------------------------------------------------------ */ ++/* This approach used here is similar to the algorithm described in */ ++/* */ ++/* Variable Precision Exponential Function, T. E. Hull and */ ++/* A. Abrham, ACM Transactions on Mathematical Software, Vol 12 #2, */ ++/* pp79-91, ACM, June 1986. */ ++/* */ ++/* with the main difference being that the iterations in the series */ ++/* evaluation are terminated dynamically (which does not require the */ ++/* extra variable-precision variables which are expensive in this */ ++/* context). */ ++/* */ ++/* The error analysis in Hull & Abrham's paper applies except for the */ ++/* round-off error accumulation during the series evaluation. This */ ++/* code does not precalculate the number of iterations and so cannot */ ++/* use Horner's scheme. Instead, the accumulation is done at double- */ ++/* precision, which ensures that the additions of the terms are exact */ ++/* and do not accumulate round-off (and any round-off errors in the */ ++/* terms themselves move 'to the right' faster than they can */ ++/* accumulate). This code also extends the calculation by allowing, */ ++/* in the spirit of other decNumber operators, the input to be more */ ++/* precise than the result (the precision used is based on the more */ ++/* precise of the input or requested result). */ ++/* */ ++/* Implementation notes: */ ++/* */ ++/* 1. This is separated out as decExpOp so it can be called from */ ++/* other Mathematical functions (notably Ln) with a wider range */ ++/* than normal. In particular, it can handle the slightly wider */ ++/* (double) range needed by Ln (which has to be able to calculate */ ++/* exp(-x) where x can be the tiniest number (Ntiny). */ ++/* */ ++/* 2. Normalizing x to be <=0.1 (instead of <=1) reduces loop */ ++/* iterations by appoximately a third with additional (although */ ++/* diminishing) returns as the range is reduced to even smaller */ ++/* fractions. However, h (the power of 10 used to correct the */ ++/* result at the end, see below) must be kept <=8 as otherwise */ ++/* the final result cannot be computed. Hence the leverage is a */ ++/* sliding value (8-h), where potentially the range is reduced */ ++/* more for smaller values. */ ++/* */ ++/* The leverage that can be applied in this way is severely */ ++/* limited by the cost of the raise-to-the power at the end, */ ++/* which dominates when the number of iterations is small (less */ ++/* than ten) or when rhs is short. As an example, the adjustment */ ++/* x**10,000,000 needs 31 multiplications, all but one full-width. */ ++/* */ ++/* 3. The restrictions (especially precision) could be raised with */ ++/* care, but the full decNumber range seems very hard within the */ ++/* 32-bit limits. */ ++/* */ ++/* 4. The working precisions for the static buffers are twice the */ ++/* obvious size to allow for calls from decNumberPower. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decExpOp(decNumber *res, const decNumber *rhs, ++ decContext *set, uInt *status) { ++ uInt ignore=0; // working status ++ Int h; // adjusted exponent for 0.xxxx ++ Int p; // working precision ++ Int residue; // rounding residue ++ uInt needbytes; // for space calculations ++ const decNumber *x=rhs; // (may point to safe copy later) ++ decContext aset, tset, dset; // working contexts ++ Int comp; // work ++ ++ // the argument is often copied to normalize it, so (unusually) it ++ // is treated like other buffers, using DECBUFFER, +1 in case ++ // DECBUFFER is 0 ++ decNumber bufr[D2N(DECBUFFER*2+1)]; ++ decNumber *allocrhs=NULL; // non-NULL if rhs buffer allocated ++ ++ // the working precision will be no more than set->digits+8+1 ++ // so for on-stack buffers DECBUFFER+9 is used, +1 in case DECBUFFER ++ // is 0 (and twice that for the accumulator) ++ ++ // buffer for t, term (working precision plus) ++ decNumber buft[D2N(DECBUFFER*2+9+1)]; ++ decNumber *allocbuft=NULL; // -> allocated buft, iff allocated ++ decNumber *t=buft; // term ++ // buffer for a, accumulator (working precision * 2), at least 9 ++ decNumber bufa[D2N(DECBUFFER*4+18+1)]; ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber *a=bufa; // accumulator ++ // decNumber for the divisor term; this needs at most 9 digits ++ // and so can be fixed size [16 so can use standard context] ++ decNumber bufd[D2N(16)]; ++ decNumber *d=bufd; // divisor ++ decNumber numone; // constant 1 ++ ++ #if DECCHECK ++ Int iterations=0; // for later sanity check ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ if (SPECIALARG) { // handle infinities and NaNs ++ if (decNumberIsInfinite(rhs)) { // an infinity ++ if (decNumberIsNegative(rhs)) // -Infinity -> +0 ++ decNumberZero(res); ++ else decNumberCopy(res, rhs); // +Infinity -> self ++ } ++ else decNaNs(res, rhs, NULL, set, status); // a NaN ++ break;} ++ ++ if (ISZERO(rhs)) { // zeros -> exact 1 ++ decNumberZero(res); // make clean 1 ++ *res->lsu=1; // .. ++ break;} // [no status to set] ++ ++ // e**x when 0 < x < 0.66 is < 1+3x/2, hence can fast-path ++ // positive and negative tiny cases which will result in inexact ++ // 1. This also allows the later add-accumulate to always be ++ // exact (because its length will never be more than twice the ++ // working precision). ++ // The comparator (tiny) needs just one digit, so use the ++ // decNumber d for it (reused as the divisor, etc., below); its ++ // exponent is such that if x is positive it will have ++ // set->digits-1 zeros between the decimal point and the digit, ++ // which is 4, and if x is negative one more zero there as the ++ // more precise result will be of the form 0.9999999 rather than ++ // 1.0000001. Hence, tiny will be 0.0000004 if digits=7 and x>0 ++ // or 0.00000004 if digits=7 and x<0. If RHS not larger than ++ // this then the result will be 1.000000 ++ decNumberZero(d); // clean ++ *d->lsu=4; // set 4 .. ++ d->exponent=-set->digits; // * 10**(-d) ++ if (decNumberIsNegative(rhs)) d->exponent--; // negative case ++ comp=decCompare(d, rhs, 1); // signless compare ++ if (comp==BADINT) { ++ *status|=DEC_Insufficient_storage; ++ break;} ++ if (comp>=0) { // rhs < d ++ Int shift=set->digits-1; ++ decNumberZero(res); // set 1 ++ *res->lsu=1; // .. ++ res->digits=decShiftToMost(res->lsu, 1, shift); ++ res->exponent=-shift; // make 1.0000... ++ *status|=DEC_Inexact | DEC_Rounded; // .. inexactly ++ break;} // tiny ++ ++ // set up the context to be used for calculating a, as this is ++ // used on both paths below ++ decContextDefault(&aset, DEC_INIT_DECIMAL64); ++ // accumulator bounds are as requested (could underflow) ++ aset.emax=set->emax; // usual bounds ++ aset.emin=set->emin; // .. ++ aset.clamp=0; // and no concrete format ++ ++ // calculate the adjusted (Hull & Abrham) exponent (where the ++ // decimal point is just to the left of the coefficient msd) ++ h=rhs->exponent+rhs->digits; ++ // if h>8 then 10**h cannot be calculated safely; however, when ++ // h=8 then exp(|rhs|) will be at least exp(1E+7) which is at ++ // least 6.59E+4342944, so (due to the restriction on Emax/Emin) ++ // overflow (or underflow to 0) is guaranteed -- so this case can ++ // be handled by simply forcing the appropriate excess ++ if (h>8) { // overflow/underflow ++ // set up here so Power call below will over or underflow to ++ // zero; set accumulator to either 2 or 0.02 ++ // [stack buffer for a is always big enough for this] ++ decNumberZero(a); ++ *a->lsu=2; // not 1 but < exp(1) ++ if (decNumberIsNegative(rhs)) a->exponent=-2; // make 0.02 ++ h=8; // clamp so 10**h computable ++ p=9; // set a working precision ++ } ++ else { // h<=8 ++ Int maxlever=(rhs->digits>8?1:0); ++ // [could/should increase this for precisions >40 or so, too] ++ ++ // if h is 8, cannot normalize to a lower upper limit because ++ // the final result will not be computable (see notes above), ++ // but leverage can be applied whenever h is less than 8. ++ // Apply as much as possible, up to a MAXLEVER digits, which ++ // sets the tradeoff against the cost of the later a**(10**h). ++ // As h is increased, the working precision below also ++ // increases to compensate for the "constant digits at the ++ // front" effect. ++ Int lever=MINI(8-h, maxlever); // leverage attainable ++ Int use=-rhs->digits-lever; // exponent to use for RHS ++ h+=lever; // apply leverage selected ++ if (h<0) { // clamp ++ use+=h; // [may end up subnormal] ++ h=0; ++ } ++ // Take a copy of RHS if it needs normalization (true whenever x>=1) ++ if (rhs->exponent!=use) { ++ decNumber *newrhs=bufr; // assume will fit on stack ++ needbytes=sizeof(decNumber)+(D2U(rhs->digits)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufr)) { // need malloc space ++ allocrhs=(decNumber *)malloc(needbytes); ++ if (allocrhs==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ newrhs=allocrhs; // use the allocated space ++ } ++ decNumberCopy(newrhs, rhs); // copy to safe space ++ newrhs->exponent=use; // normalize; now <1 ++ x=newrhs; // ready for use ++ // decNumberShow(x); ++ } ++ ++ // Now use the usual power series to evaluate exp(x). The ++ // series starts as 1 + x + x^2/2 ... so prime ready for the ++ // third term by setting the term variable t=x, the accumulator ++ // a=1, and the divisor d=2. ++ ++ // First determine the working precision. From Hull & Abrham ++ // this is set->digits+h+2. However, if x is 'over-precise' we ++ // need to allow for all its digits to potentially participate ++ // (consider an x where all the excess digits are 9s) so in ++ // this case use x->digits+h+2 ++ p=MAXI(x->digits, set->digits)+h+2; // [h<=8] ++ ++ // a and t are variable precision, and depend on p, so space ++ // must be allocated for them if necessary ++ ++ // the accumulator needs to be able to hold 2p digits so that ++ // the additions on the second and subsequent iterations are ++ // sufficiently exact. ++ needbytes=sizeof(decNumber)+(D2U(p*2)-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufa)) { // need malloc space ++ allocbufa=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ a=allocbufa; // use the allocated space ++ } ++ // the term needs to be able to hold p digits (which is ++ // guaranteed to be larger than x->digits, so the initial copy ++ // is safe); it may also be used for the raise-to-power ++ // calculation below, which needs an extra two digits ++ needbytes=sizeof(decNumber)+(D2U(p+2)-1)*sizeof(Unit); ++ if (needbytes>sizeof(buft)) { // need malloc space ++ allocbuft=(decNumber *)malloc(needbytes); ++ if (allocbuft==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ t=allocbuft; // use the allocated space ++ } ++ ++ decNumberCopy(t, x); // term=x ++ decNumberZero(a); *a->lsu=1; // accumulator=1 ++ decNumberZero(d); *d->lsu=2; // divisor=2 ++ decNumberZero(&numone); *numone.lsu=1; // constant 1 for increment ++ ++ // set up the contexts for calculating a, t, and d ++ decContextDefault(&tset, DEC_INIT_DECIMAL64); ++ dset=tset; ++ // accumulator bounds are set above, set precision now ++ aset.digits=p*2; // double ++ // term bounds avoid any underflow or overflow ++ tset.digits=p; ++ tset.emin=DEC_MIN_EMIN; // [emax is plenty] ++ // [dset.digits=16, etc., are sufficient] ++ ++ // finally ready to roll ++ for (;;) { ++ #if DECCHECK ++ iterations++; ++ #endif ++ // only the status from the accumulation is interesting ++ // [but it should remain unchanged after first add] ++ decAddOp(a, a, t, &aset, 0, status); // a=a+t ++ decMultiplyOp(t, t, x, &tset, &ignore); // t=t*x ++ decDivideOp(t, t, d, &tset, DIVIDE, &ignore); // t=t/d ++ // the iteration ends when the term cannot affect the result, ++ // if rounded to p digits, which is when its value is smaller ++ // than the accumulator by p+1 digits. There must also be ++ // full precision in a. ++ if (((a->digits+a->exponent)>=(t->digits+t->exponent+p+1)) ++ && (a->digits>=p)) break; ++ decAddOp(d, d, &numone, &dset, 0, &ignore); // d=d+1 ++ } // iterate ++ ++ #if DECCHECK ++ // just a sanity check; comment out test to show always ++ if (iterations>p+3) ++ printf("Exp iterations=%ld, status=%08lx, p=%ld, d=%ld\n", ++ (LI)iterations, (LI)*status, (LI)p, (LI)x->digits); ++ #endif ++ } // h<=8 ++ ++ // apply postconditioning: a=a**(10**h) -- this is calculated ++ // at a slightly higher precision than Hull & Abrham suggest ++ if (h>0) { ++ Int seenbit=0; // set once a 1-bit is seen ++ Int i; // counter ++ Int n=powers[h]; // always positive ++ aset.digits=p+2; // sufficient precision ++ // avoid the overhead and many extra digits of decNumberPower ++ // as all that is needed is the short 'multipliers' loop; here ++ // accumulate the answer into t ++ decNumberZero(t); *t->lsu=1; // acc=1 ++ for (i=1;;i++){ // for each bit [top bit ignored] ++ // abandon if have had overflow or terminal underflow ++ if (*status & (DEC_Overflow|DEC_Underflow)) { // interesting? ++ if (*status&DEC_Overflow || ISZERO(t)) break;} ++ n=n<<1; // move next bit to testable position ++ if (n<0) { // top bit is set ++ seenbit=1; // OK, have a significant bit ++ decMultiplyOp(t, t, a, &aset, status); // acc=acc*x ++ } ++ if (i==31) break; // that was the last bit ++ if (!seenbit) continue; // no need to square 1 ++ decMultiplyOp(t, t, t, &aset, status); // acc=acc*acc [square] ++ } /*i*/ // 32 bits ++ // decNumberShow(t); ++ a=t; // and carry on using t instead of a ++ } ++ ++ // Copy and round the result to res ++ residue=1; // indicate dirt to right .. ++ if (ISZERO(a)) residue=0; // .. unless underflowed to 0 ++ aset.digits=set->digits; // [use default rounding] ++ decCopyFit(res, a, &aset, &residue, status); // copy & shorten ++ decFinish(res, set, &residue, status); // cleanup/set flags ++ } while(0); // end protected ++ ++ if (allocrhs !=NULL) free(allocrhs); // drop any storage used ++ if (allocbufa!=NULL) free(allocbufa); // .. ++ if (allocbuft!=NULL) free(allocbuft); // .. ++ // [status is handled by caller] ++ return res; ++ } // decExpOp ++ ++/* ------------------------------------------------------------------ */ ++/* Initial-estimate natural logarithm table */ ++/* */ ++/* LNnn -- 90-entry 16-bit table for values from .10 through .99. */ ++/* The result is a 4-digit encode of the coefficient (c=the */ ++/* top 14 bits encoding 0-9999) and a 2-digit encode of the */ ++/* exponent (e=the bottom 2 bits encoding 0-3) */ ++/* */ ++/* The resulting value is given by: */ ++/* */ ++/* v = -c * 10**(-e-3) */ ++/* */ ++/* where e and c are extracted from entry k = LNnn[x-10] */ ++/* where x is truncated (NB) into the range 10 through 99, */ ++/* and then c = k>>2 and e = k&3. */ ++/* ------------------------------------------------------------------ */ ++const uShort LNnn[90]={9016, 8652, 8316, 8008, 7724, 7456, 7208, ++ 6972, 6748, 6540, 6340, 6148, 5968, 5792, 5628, 5464, 5312, ++ 5164, 5020, 4884, 4748, 4620, 4496, 4376, 4256, 4144, 4032, ++ 39233, 38181, 37157, 36157, 35181, 34229, 33297, 32389, 31501, 30629, ++ 29777, 28945, 28129, 27329, 26545, 25777, 25021, 24281, 23553, 22837, ++ 22137, 21445, 20769, 20101, 19445, 18801, 18165, 17541, 16925, 16321, ++ 15721, 15133, 14553, 13985, 13421, 12865, 12317, 11777, 11241, 10717, ++ 10197, 9685, 9177, 8677, 8185, 7697, 7213, 6737, 6269, 5801, ++ 5341, 4889, 4437, 39930, 35534, 31186, 26886, 22630, 18418, 14254, ++ 10130, 6046, 20055}; ++ ++/* ------------------------------------------------------------------ */ ++/* decLnOp -- effect natural logarithm */ ++/* */ ++/* This computes C = ln(A) */ ++/* */ ++/* res is C, the result. C may be A */ ++/* rhs is A */ ++/* set is the context; note that rounding mode has no effect */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Notable cases: */ ++/* A<0 -> Invalid */ ++/* A=0 -> -Infinity (Exact) */ ++/* A=+Infinity -> +Infinity (Exact) */ ++/* A=1 exactly -> 0 (Exact) */ ++/* */ ++/* Restrictions (as for Exp): */ ++/* */ ++/* digits, emax, and -emin in the context must be less than */ ++/* DEC_MAX_MATH+11 (1000010), and the rhs must be within these */ ++/* bounds or a zero. This is an internal routine, so these */ ++/* restrictions are contractual and not enforced. */ ++/* */ ++/* A finite result is rounded using DEC_ROUND_HALF_EVEN; it will */ ++/* almost always be correctly rounded, but may be up to 1 ulp in */ ++/* error in rare cases. */ ++/* ------------------------------------------------------------------ */ ++/* The result is calculated using Newton's method, with each */ ++/* iteration calculating a' = a + x * exp(-a) - 1. See, for example, */ ++/* Epperson 1989. */ ++/* */ ++/* The iteration ends when the adjustment x*exp(-a)-1 is tiny enough. */ ++/* This has to be calculated at the sum of the precision of x and the */ ++/* working precision. */ ++/* */ ++/* Implementation notes: */ ++/* */ ++/* 1. This is separated out as decLnOp so it can be called from */ ++/* other Mathematical functions (e.g., Log 10) with a wider range */ ++/* than normal. In particular, it can handle the slightly wider */ ++/* (+9+2) range needed by a power function. */ ++/* */ ++/* 2. The speed of this function is about 10x slower than exp, as */ ++/* it typically needs 4-6 iterations for short numbers, and the */ ++/* extra precision needed adds a squaring effect, twice. */ ++/* */ ++/* 3. Fastpaths are included for ln(10) and ln(2), up to length 40, */ ++/* as these are common requests. ln(10) is used by log10(x). */ ++/* */ ++/* 4. An iteration might be saved by widening the LNnn table, and */ ++/* would certainly save at least one if it were made ten times */ ++/* bigger, too (for truncated fractions 0.100 through 0.999). */ ++/* However, for most practical evaluations, at least four or five */ ++/* iterations will be neede -- so this would only speed up by */ ++/* 20-25% and that probably does not justify increasing the table */ ++/* size. */ ++/* */ ++/* 5. The static buffers are larger than might be expected to allow */ ++/* for calls from decNumberPower. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decLnOp(decNumber *res, const decNumber *rhs, ++ decContext *set, uInt *status) { ++ uInt ignore=0; // working status accumulator ++ uInt needbytes; // for space calculations ++ Int residue; // rounding residue ++ Int r; // rhs=f*10**r [see below] ++ Int p; // working precision ++ Int pp; // precision for iteration ++ Int t; // work ++ ++ // buffers for a (accumulator, typically precision+2) and b ++ // (adjustment calculator, same size) ++ decNumber bufa[D2N(DECBUFFER+12)]; ++ decNumber *allocbufa=NULL; // -> allocated bufa, iff allocated ++ decNumber *a=bufa; // accumulator/work ++ decNumber bufb[D2N(DECBUFFER*2+2)]; ++ decNumber *allocbufb=NULL; // -> allocated bufa, iff allocated ++ decNumber *b=bufb; // adjustment/work ++ ++ decNumber numone; // constant 1 ++ decNumber cmp; // work ++ decContext aset, bset; // working contexts ++ ++ #if DECCHECK ++ Int iterations=0; // for later sanity check ++ if (decCheckOperands(res, DECUNUSED, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ if (SPECIALARG) { // handle infinities and NaNs ++ if (decNumberIsInfinite(rhs)) { // an infinity ++ if (decNumberIsNegative(rhs)) // -Infinity -> error ++ *status|=DEC_Invalid_operation; ++ else decNumberCopy(res, rhs); // +Infinity -> self ++ } ++ else decNaNs(res, rhs, NULL, set, status); // a NaN ++ break;} ++ ++ if (ISZERO(rhs)) { // +/- zeros -> -Infinity ++ decNumberZero(res); // make clean ++ res->bits=DECINF|DECNEG; // set - infinity ++ break;} // [no status to set] ++ ++ // Non-zero negatives are bad... ++ if (decNumberIsNegative(rhs)) { // -x -> error ++ *status|=DEC_Invalid_operation; ++ break;} ++ ++ // Here, rhs is positive, finite, and in range ++ ++ // lookaside fastpath code for ln(2) and ln(10) at common lengths ++ if (rhs->exponent==0 && set->digits<=40) { ++ #if DECDPUN==1 ++ if (rhs->lsu[0]==0 && rhs->lsu[1]==1 && rhs->digits==2) { // ln(10) ++ #else ++ if (rhs->lsu[0]==10 && rhs->digits==2) { // ln(10) ++ #endif ++ aset=*set; aset.round=DEC_ROUND_HALF_EVEN; ++ #define LN10 "2.302585092994045684017991454684364207601" ++ decNumberFromString(res, LN10, &aset); ++ *status|=(DEC_Inexact | DEC_Rounded); // is inexact ++ break;} ++ if (rhs->lsu[0]==2 && rhs->digits==1) { // ln(2) ++ aset=*set; aset.round=DEC_ROUND_HALF_EVEN; ++ #define LN2 "0.6931471805599453094172321214581765680755" ++ decNumberFromString(res, LN2, &aset); ++ *status|=(DEC_Inexact | DEC_Rounded); ++ break;} ++ } // integer and short ++ ++ // Determine the working precision. This is normally the ++ // requested precision + 2, with a minimum of 9. However, if ++ // the rhs is 'over-precise' then allow for all its digits to ++ // potentially participate (consider an rhs where all the excess ++ // digits are 9s) so in this case use rhs->digits+2. ++ p=MAXI(rhs->digits, MAXI(set->digits, 7))+2; ++ ++ // Allocate space for the accumulator and the high-precision ++ // adjustment calculator, if necessary. The accumulator must ++ // be able to hold p digits, and the adjustment up to ++ // rhs->digits+p digits. They are also made big enough for 16 ++ // digits so that they can be used for calculating the initial ++ // estimate. ++ needbytes=sizeof(decNumber)+(D2U(MAXI(p,16))-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufa)) { // need malloc space ++ allocbufa=(decNumber *)malloc(needbytes); ++ if (allocbufa==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ a=allocbufa; // use the allocated space ++ } ++ pp=p+rhs->digits; ++ needbytes=sizeof(decNumber)+(D2U(MAXI(pp,16))-1)*sizeof(Unit); ++ if (needbytes>sizeof(bufb)) { // need malloc space ++ allocbufb=(decNumber *)malloc(needbytes); ++ if (allocbufb==NULL) { // hopeless -- abandon ++ *status|=DEC_Insufficient_storage; ++ break;} ++ b=allocbufb; // use the allocated space ++ } ++ ++ // Prepare an initial estimate in acc. Calculate this by ++ // considering the coefficient of x to be a normalized fraction, ++ // f, with the decimal point at far left and multiplied by ++ // 10**r. Then, rhs=f*10**r and 0.1<=f<1, and ++ // ln(x) = ln(f) + ln(10)*r ++ // Get the initial estimate for ln(f) from a small lookup ++ // table (see above) indexed by the first two digits of f, ++ // truncated. ++ ++ decContextDefault(&aset, DEC_INIT_DECIMAL64); // 16-digit extended ++ r=rhs->exponent+rhs->digits; // 'normalised' exponent ++ decNumberFromInt32(a, r); // a=r ++ decNumberFromInt32(b, 2302585); // b=ln(10) (2.302585) ++ b->exponent=-6; // .. ++ decMultiplyOp(a, a, b, &aset, &ignore); // a=a*b ++ // now get top two digits of rhs into b by simple truncate and ++ // force to integer ++ residue=0; // (no residue) ++ aset.digits=2; aset.round=DEC_ROUND_DOWN; ++ decCopyFit(b, rhs, &aset, &residue, &ignore); // copy & shorten ++ b->exponent=0; // make integer ++ t=decGetInt(b); // [cannot fail] ++ if (t<10) t=X10(t); // adjust single-digit b ++ t=LNnn[t-10]; // look up ln(b) ++ decNumberFromInt32(b, t>>2); // b=ln(b) coefficient ++ b->exponent=-(t&3)-3; // set exponent ++ b->bits=DECNEG; // ln(0.10)->ln(0.99) always -ve ++ aset.digits=16; aset.round=DEC_ROUND_HALF_EVEN; // restore ++ decAddOp(a, a, b, &aset, 0, &ignore); // acc=a+b ++ // the initial estimate is now in a, with up to 4 digits correct. ++ // When rhs is at or near Nmax the estimate will be low, so we ++ // will approach it from below, avoiding overflow when calling exp. ++ ++ decNumberZero(&numone); *numone.lsu=1; // constant 1 for adjustment ++ ++ // accumulator bounds are as requested (could underflow, but ++ // cannot overflow) ++ aset.emax=set->emax; ++ aset.emin=set->emin; ++ aset.clamp=0; // no concrete format ++ // set up a context to be used for the multiply and subtract ++ bset=aset; ++ bset.emax=DEC_MAX_MATH*2; // use double bounds for the ++ bset.emin=-DEC_MAX_MATH*2; // adjustment calculation ++ // [see decExpOp call below] ++ // for each iteration double the number of digits to calculate, ++ // up to a maximum of p ++ pp=9; // initial precision ++ // [initially 9 as then the sequence starts 7+2, 16+2, and ++ // 34+2, which is ideal for standard-sized numbers] ++ aset.digits=pp; // working context ++ bset.digits=pp+rhs->digits; // wider context ++ for (;;) { // iterate ++ #if DECCHECK ++ iterations++; ++ if (iterations>24) break; // consider 9 * 2**24 ++ #endif ++ // calculate the adjustment (exp(-a)*x-1) into b. This is a ++ // catastrophic subtraction but it really is the difference ++ // from 1 that is of interest. ++ // Use the internal entry point to Exp as it allows the double ++ // range for calculating exp(-a) when a is the tiniest subnormal. ++ a->bits^=DECNEG; // make -a ++ decExpOp(b, a, &bset, &ignore); // b=exp(-a) ++ a->bits^=DECNEG; // restore sign of a ++ // now multiply by rhs and subtract 1, at the wider precision ++ decMultiplyOp(b, b, rhs, &bset, &ignore); // b=b*rhs ++ decAddOp(b, b, &numone, &bset, DECNEG, &ignore); // b=b-1 ++ ++ // the iteration ends when the adjustment cannot affect the ++ // result by >=0.5 ulp (at the requested digits), which ++ // is when its value is smaller than the accumulator by ++ // set->digits+1 digits (or it is zero) -- this is a looser ++ // requirement than for Exp because all that happens to the ++ // accumulator after this is the final rounding (but note that ++ // there must also be full precision in a, or a=0). ++ ++ if (decNumberIsZero(b) || ++ (a->digits+a->exponent)>=(b->digits+b->exponent+set->digits+1)) { ++ if (a->digits==p) break; ++ if (decNumberIsZero(a)) { ++ decCompareOp(&cmp, rhs, &numone, &aset, COMPARE, &ignore); // rhs=1 ? ++ if (cmp.lsu[0]==0) a->exponent=0; // yes, exact 0 ++ else *status|=(DEC_Inexact | DEC_Rounded); // no, inexact ++ break; ++ } ++ // force padding if adjustment has gone to 0 before full length ++ if (decNumberIsZero(b)) b->exponent=a->exponent-p; ++ } ++ ++ // not done yet ... ++ decAddOp(a, a, b, &aset, 0, &ignore); // a=a+b for next estimate ++ if (pp==p) continue; // precision is at maximum ++ // lengthen the next calculation ++ pp=pp*2; // double precision ++ if (pp>p) pp=p; // clamp to maximum ++ aset.digits=pp; // working context ++ bset.digits=pp+rhs->digits; // wider context ++ } // Newton's iteration ++ ++ #if DECCHECK ++ // just a sanity check; remove the test to show always ++ if (iterations>24) ++ printf("Ln iterations=%ld, status=%08lx, p=%ld, d=%ld\n", ++ (LI)iterations, (LI)*status, (LI)p, (LI)rhs->digits); ++ #endif ++ ++ // Copy and round the result to res ++ residue=1; // indicate dirt to right ++ if (ISZERO(a)) residue=0; // .. unless underflowed to 0 ++ aset.digits=set->digits; // [use default rounding] ++ decCopyFit(res, a, &aset, &residue, status); // copy & shorten ++ decFinish(res, set, &residue, status); // cleanup/set flags ++ } while(0); // end protected ++ ++ if (allocbufa!=NULL) free(allocbufa); // drop any storage used ++ if (allocbufb!=NULL) free(allocbufb); // .. ++ // [status is handled by caller] ++ return res; ++ } // decLnOp ++ ++/* ------------------------------------------------------------------ */ ++/* decQuantizeOp -- force exponent to requested value */ ++/* */ ++/* This computes C = op(A, B), where op adjusts the coefficient */ ++/* of C (by rounding or shifting) such that the exponent (-scale) */ ++/* of C has the value B or matches the exponent of B. */ ++/* The numerical value of C will equal A, except for the effects of */ ++/* any rounding that occurred. */ ++/* */ ++/* res is C, the result. C may be A or B */ ++/* lhs is A, the number to adjust */ ++/* rhs is B, the requested exponent */ ++/* set is the context */ ++/* quant is 1 for quantize or 0 for rescale */ ++/* status is the status accumulator (this can be called without */ ++/* risk of control loss) */ ++/* */ ++/* C must have space for set->digits digits. */ ++/* */ ++/* Unless there is an error or the result is infinite, the exponent */ ++/* after the operation is guaranteed to be that requested. */ ++/* ------------------------------------------------------------------ */ ++static decNumber * decQuantizeOp(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set, ++ Flag quant, uInt *status) { ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated ++ decNumber *allocrhs=NULL; // .., rhs ++ #endif ++ const decNumber *inrhs=rhs; // save original rhs ++ Int reqdigits=set->digits; // requested DIGITS ++ Int reqexp; // requested exponent [-scale] ++ Int residue=0; // rounding residue ++ Int etiny=set->emin-(reqdigits-1); ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operands and set lostDigits status, as needed ++ if (lhs->digits>reqdigits) { ++ alloclhs=decRoundOperand(lhs, set, status); ++ if (alloclhs==NULL) break; ++ lhs=alloclhs; ++ } ++ if (rhs->digits>reqdigits) { // [this only checks lostDigits] ++ allocrhs=decRoundOperand(rhs, set, status); ++ if (allocrhs==NULL) break; ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // Handle special values ++ if (SPECIALARGS) { ++ // NaNs get usual processing ++ if (SPECIALARGS & (DECSNAN | DECNAN)) ++ decNaNs(res, lhs, rhs, set, status); ++ // one infinity but not both is bad ++ else if ((lhs->bits ^ rhs->bits) & DECINF) ++ *status|=DEC_Invalid_operation; ++ // both infinity: return lhs ++ else decNumberCopy(res, lhs); // [nop if in place] ++ break; ++ } ++ ++ // set requested exponent ++ if (quant) reqexp=inrhs->exponent; // quantize -- match exponents ++ else { // rescale -- use value of rhs ++ // Original rhs must be an integer that fits and is in range, ++ // which could be from -1999999997 to +999999999, thanks to ++ // subnormals ++ reqexp=decGetInt(inrhs); // [cannot fail] ++ } ++ ++ #if DECSUBSET ++ if (!set->extended) etiny=set->emin; // no subnormals ++ #endif ++ ++ if (reqexp==BADINT // bad (rescale only) or .. ++ || reqexp==BIGODD || reqexp==BIGEVEN // very big (ditto) or .. ++ || (reqexpset->emax)) { // > emax ++ *status|=DEC_Invalid_operation; ++ break;} ++ ++ // the RHS has been processed, so it can be overwritten now if necessary ++ if (ISZERO(lhs)) { // zero coefficient unchanged ++ decNumberCopy(res, lhs); // [nop if in place] ++ res->exponent=reqexp; // .. just set exponent ++ #if DECSUBSET ++ if (!set->extended) res->bits=0; // subset specification; no -0 ++ #endif ++ } ++ else { // non-zero lhs ++ Int adjust=reqexp-lhs->exponent; // digit adjustment needed ++ // if adjusted coefficient will definitely not fit, give up now ++ if ((lhs->digits-adjust)>reqdigits) { ++ *status|=DEC_Invalid_operation; ++ break; ++ } ++ ++ if (adjust>0) { // increasing exponent ++ // this will decrease the length of the coefficient by adjust ++ // digits, and must round as it does so ++ decContext workset; // work ++ workset=*set; // clone rounding, etc. ++ workset.digits=lhs->digits-adjust; // set requested length ++ // [note that the latter can be <1, here] ++ decCopyFit(res, lhs, &workset, &residue, status); // fit to result ++ decApplyRound(res, &workset, residue, status); // .. and round ++ residue=0; // [used] ++ // If just rounded a 999s case, exponent will be off by one; ++ // adjust back (after checking space), if so. ++ if (res->exponent>reqexp) { ++ // re-check needed, e.g., for quantize(0.9999, 0.001) under ++ // set->digits==3 ++ if (res->digits==reqdigits) { // cannot shift by 1 ++ *status&=~(DEC_Inexact | DEC_Rounded); // [clean these] ++ *status|=DEC_Invalid_operation; ++ break; ++ } ++ res->digits=decShiftToMost(res->lsu, res->digits, 1); // shift ++ res->exponent--; // (re)adjust the exponent. ++ } ++ #if DECSUBSET ++ if (ISZERO(res) && !set->extended) res->bits=0; // subset; no -0 ++ #endif ++ } // increase ++ else /* adjust<=0 */ { // decreasing or = exponent ++ // this will increase the length of the coefficient by -adjust ++ // digits, by adding zero or more trailing zeros; this is ++ // already checked for fit, above ++ decNumberCopy(res, lhs); // [it will fit] ++ // if padding needed (adjust<0), add it now... ++ if (adjust<0) { ++ res->digits=decShiftToMost(res->lsu, res->digits, -adjust); ++ res->exponent+=adjust; // adjust the exponent ++ } ++ } // decrease ++ } // non-zero ++ ++ // Check for overflow [do not use Finalize in this case, as an ++ // overflow here is a "don't fit" situation] ++ if (res->exponent>set->emax-res->digits+1) { // too big ++ *status|=DEC_Invalid_operation; ++ break; ++ } ++ else { ++ decFinalize(res, set, &residue, status); // set subnormal flags ++ *status&=~DEC_Underflow; // suppress Underflow [as per 754] ++ } ++ } while(0); // end protected ++ ++ #if DECSUBSET ++ if (allocrhs!=NULL) free(allocrhs); // drop any storage used ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ #endif ++ return res; ++ } // decQuantizeOp ++ ++/* ------------------------------------------------------------------ */ ++/* decCompareOp -- compare, min, or max two Numbers */ ++/* */ ++/* This computes C = A ? B and carries out one of four operations: */ ++/* COMPARE -- returns the signum (as a number) giving the */ ++/* result of a comparison unless one or both */ ++/* operands is a NaN (in which case a NaN results) */ ++/* COMPSIG -- as COMPARE except that a quiet NaN raises */ ++/* Invalid operation. */ ++/* COMPMAX -- returns the larger of the operands, using the */ ++/* 754 maxnum operation */ ++/* COMPMAXMAG -- ditto, comparing absolute values */ ++/* COMPMIN -- the 754 minnum operation */ ++/* COMPMINMAG -- ditto, comparing absolute values */ ++/* COMTOTAL -- returns the signum (as a number) giving the */ ++/* result of a comparison using 754 total ordering */ ++/* */ ++/* res is C, the result. C may be A and/or B (e.g., X=X?X) */ ++/* lhs is A */ ++/* rhs is B */ ++/* set is the context */ ++/* op is the operation flag */ ++/* status is the usual accumulator */ ++/* */ ++/* C must have space for one digit for COMPARE or set->digits for */ ++/* COMPMAX, COMPMIN, COMPMAXMAG, or COMPMINMAG. */ ++/* ------------------------------------------------------------------ */ ++/* The emphasis here is on speed for common cases, and avoiding */ ++/* coefficient comparison if possible. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decCompareOp(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set, ++ Flag op, uInt *status) { ++ #if DECSUBSET ++ decNumber *alloclhs=NULL; // non-NULL if rounded lhs allocated ++ decNumber *allocrhs=NULL; // .., rhs ++ #endif ++ Int result=0; // default result value ++ uByte merged; // work ++ ++ #if DECCHECK ++ if (decCheckOperands(res, lhs, rhs, set)) return res; ++ #endif ++ ++ do { // protect allocated storage ++ #if DECSUBSET ++ if (!set->extended) { ++ // reduce operands and set lostDigits status, as needed ++ if (lhs->digits>set->digits) { ++ alloclhs=decRoundOperand(lhs, set, status); ++ if (alloclhs==NULL) {result=BADINT; break;} ++ lhs=alloclhs; ++ } ++ if (rhs->digits>set->digits) { ++ allocrhs=decRoundOperand(rhs, set, status); ++ if (allocrhs==NULL) {result=BADINT; break;} ++ rhs=allocrhs; ++ } ++ } ++ #endif ++ // [following code does not require input rounding] ++ ++ // If total ordering then handle differing signs 'up front' ++ if (op==COMPTOTAL) { // total ordering ++ if (decNumberIsNegative(lhs) & !decNumberIsNegative(rhs)) { ++ result=-1; ++ break; ++ } ++ if (!decNumberIsNegative(lhs) & decNumberIsNegative(rhs)) { ++ result=+1; ++ break; ++ } ++ } ++ ++ // handle NaNs specially; let infinities drop through ++ // This assumes sNaN (even just one) leads to NaN. ++ merged=(lhs->bits | rhs->bits) & (DECSNAN | DECNAN); ++ if (merged) { // a NaN bit set ++ if (op==COMPARE); // result will be NaN ++ else if (op==COMPSIG) // treat qNaN as sNaN ++ *status|=DEC_Invalid_operation | DEC_sNaN; ++ else if (op==COMPTOTAL) { // total ordering, always finite ++ // signs are known to be the same; compute the ordering here ++ // as if the signs are both positive, then invert for negatives ++ if (!decNumberIsNaN(lhs)) result=-1; ++ else if (!decNumberIsNaN(rhs)) result=+1; ++ // here if both NaNs ++ else if (decNumberIsSNaN(lhs) && decNumberIsQNaN(rhs)) result=-1; ++ else if (decNumberIsQNaN(lhs) && decNumberIsSNaN(rhs)) result=+1; ++ else { // both NaN or both sNaN ++ // now it just depends on the payload ++ result=decUnitCompare(lhs->lsu, D2U(lhs->digits), ++ rhs->lsu, D2U(rhs->digits), 0); ++ // [Error not possible, as these are 'aligned'] ++ } // both same NaNs ++ if (decNumberIsNegative(lhs)) result=-result; ++ break; ++ } // total order ++ ++ else if (merged & DECSNAN); // sNaN -> qNaN ++ else { // here if MIN or MAX and one or two quiet NaNs ++ // min or max -- 754 rules ignore single NaN ++ if (!decNumberIsNaN(lhs) || !decNumberIsNaN(rhs)) { ++ // just one NaN; force choice to be the non-NaN operand ++ op=COMPMAX; ++ if (lhs->bits & DECNAN) result=-1; // pick rhs ++ else result=+1; // pick lhs ++ break; ++ } ++ } // max or min ++ op=COMPNAN; // use special path ++ decNaNs(res, lhs, rhs, set, status); // propagate NaN ++ break; ++ } ++ // have numbers ++ if (op==COMPMAXMAG || op==COMPMINMAG) result=decCompare(lhs, rhs, 1); ++ else result=decCompare(lhs, rhs, 0); // sign matters ++ } while(0); // end protected ++ ++ if (result==BADINT) *status|=DEC_Insufficient_storage; // rare ++ else { ++ if (op==COMPARE || op==COMPSIG ||op==COMPTOTAL) { // returning signum ++ if (op==COMPTOTAL && result==0) { ++ // operands are numerically equal or same NaN (and same sign, ++ // tested first); if identical, leave result 0 ++ if (lhs->exponent!=rhs->exponent) { ++ if (lhs->exponentexponent) result=-1; ++ else result=+1; ++ if (decNumberIsNegative(lhs)) result=-result; ++ } // lexp!=rexp ++ } // total-order by exponent ++ decNumberZero(res); // [always a valid result] ++ if (result!=0) { // must be -1 or +1 ++ *res->lsu=1; ++ if (result<0) res->bits=DECNEG; ++ } ++ } ++ else if (op==COMPNAN); // special, drop through ++ else { // MAX or MIN, non-NaN result ++ Int residue=0; // rounding accumulator ++ // choose the operand for the result ++ const decNumber *choice; ++ if (result==0) { // operands are numerically equal ++ // choose according to sign then exponent (see 754) ++ uByte slhs=(lhs->bits & DECNEG); ++ uByte srhs=(rhs->bits & DECNEG); ++ #if DECSUBSET ++ if (!set->extended) { // subset: force left-hand ++ op=COMPMAX; ++ result=+1; ++ } ++ else ++ #endif ++ if (slhs!=srhs) { // signs differ ++ if (slhs) result=-1; // rhs is max ++ else result=+1; // lhs is max ++ } ++ else if (slhs && srhs) { // both negative ++ if (lhs->exponentexponent) result=+1; ++ else result=-1; ++ // [if equal, use lhs, technically identical] ++ } ++ else { // both positive ++ if (lhs->exponent>rhs->exponent) result=+1; ++ else result=-1; ++ // [ditto] ++ } ++ } // numerically equal ++ // here result will be non-0; reverse if looking for MIN ++ if (op==COMPMIN || op==COMPMINMAG) result=-result; ++ choice=(result>0 ? lhs : rhs); // choose ++ // copy chosen to result, rounding if need be ++ decCopyFit(res, choice, set, &residue, status); ++ decFinish(res, set, &residue, status); ++ } ++ } ++ #if DECSUBSET ++ if (allocrhs!=NULL) free(allocrhs); // free any storage used ++ if (alloclhs!=NULL) free(alloclhs); // .. ++ #endif ++ return res; ++ } // decCompareOp ++ ++/* ------------------------------------------------------------------ */ ++/* decCompare -- compare two decNumbers by numerical value */ ++/* */ ++/* This routine compares A ? B without altering them. */ ++/* */ ++/* Arg1 is A, a decNumber which is not a NaN */ ++/* Arg2 is B, a decNumber which is not a NaN */ ++/* Arg3 is 1 for a sign-independent compare, 0 otherwise */ ++/* */ ++/* returns -1, 0, or 1 for AB, or BADINT if failure */ ++/* (the only possible failure is an allocation error) */ ++/* ------------------------------------------------------------------ */ ++static Int decCompare(const decNumber *lhs, const decNumber *rhs, ++ Flag abs) { ++ Int result; // result value ++ Int sigr; // rhs signum ++ Int compare; // work ++ ++ result=1; // assume signum(lhs) ++ if (ISZERO(lhs)) result=0; ++ if (abs) { ++ if (ISZERO(rhs)) return result; // LHS wins or both 0 ++ // RHS is non-zero ++ if (result==0) return -1; // LHS is 0; RHS wins ++ // [here, both non-zero, result=1] ++ } ++ else { // signs matter ++ if (result && decNumberIsNegative(lhs)) result=-1; ++ sigr=1; // compute signum(rhs) ++ if (ISZERO(rhs)) sigr=0; ++ else if (decNumberIsNegative(rhs)) sigr=-1; ++ if (result > sigr) return +1; // L > R, return 1 ++ if (result < sigr) return -1; // L < R, return -1 ++ if (result==0) return 0; // both 0 ++ } ++ ++ // signums are the same; both are non-zero ++ if ((lhs->bits | rhs->bits) & DECINF) { // one or more infinities ++ if (decNumberIsInfinite(rhs)) { ++ if (decNumberIsInfinite(lhs)) result=0;// both infinite ++ else result=-result; // only rhs infinite ++ } ++ return result; ++ } ++ // must compare the coefficients, allowing for exponents ++ if (lhs->exponent>rhs->exponent) { // LHS exponent larger ++ // swap sides, and sign ++ const decNumber *temp=lhs; ++ lhs=rhs; ++ rhs=temp; ++ result=-result; ++ } ++ compare=decUnitCompare(lhs->lsu, D2U(lhs->digits), ++ rhs->lsu, D2U(rhs->digits), ++ rhs->exponent-lhs->exponent); ++ if (compare!=BADINT) compare*=result; // comparison succeeded ++ return compare; ++ } // decCompare ++ ++/* ------------------------------------------------------------------ */ ++/* decUnitCompare -- compare two >=0 integers in Unit arrays */ ++/* */ ++/* This routine compares A ? B*10**E where A and B are unit arrays */ ++/* A is a plain integer */ ++/* B has an exponent of E (which must be non-negative) */ ++/* */ ++/* Arg1 is A first Unit (lsu) */ ++/* Arg2 is A length in Units */ ++/* Arg3 is B first Unit (lsu) */ ++/* Arg4 is B length in Units */ ++/* Arg5 is E (0 if the units are aligned) */ ++/* */ ++/* returns -1, 0, or 1 for AB, or BADINT if failure */ ++/* (the only possible failure is an allocation error, which can */ ++/* only occur if E!=0) */ ++/* ------------------------------------------------------------------ */ ++static Int decUnitCompare(const Unit *a, Int alength, ++ const Unit *b, Int blength, Int exp) { ++ Unit *acc; // accumulator for result ++ Unit accbuff[SD2U(DECBUFFER*2+1)]; // local buffer ++ Unit *allocacc=NULL; // -> allocated acc buffer, iff allocated ++ Int accunits, need; // units in use or needed for acc ++ const Unit *l, *r, *u; // work ++ Int expunits, exprem, result; // .. ++ ++ if (exp==0) { // aligned; fastpath ++ if (alength>blength) return 1; ++ if (alength=a; l--, r--) { ++ if (*l>*r) return 1; ++ if (*l<*r) return -1; ++ } ++ return 0; // all units match ++ } // aligned ++ ++ // Unaligned. If one is >1 unit longer than the other, padded ++ // approximately, then can return easily ++ if (alength>blength+(Int)D2U(exp)) return 1; ++ if (alength+1sizeof(accbuff)) { ++ allocacc=(Unit *)malloc(need*sizeof(Unit)); ++ if (allocacc==NULL) return BADINT; // hopeless -- abandon ++ acc=allocacc; ++ } ++ // Calculate units and remainder from exponent. ++ expunits=exp/DECDPUN; ++ exprem=exp%DECDPUN; ++ // subtract [A+B*(-m)] ++ accunits=decUnitAddSub(a, alength, b, blength, expunits, acc, ++ -(Int)powers[exprem]); ++ // [UnitAddSub result may have leading zeros, even on zero] ++ if (accunits<0) result=-1; // negative result ++ else { // non-negative result ++ // check units of the result before freeing any storage ++ for (u=acc; u=0 integers in Unit arrays */ ++/* */ ++/* This routine performs the calculation: */ ++/* */ ++/* C=A+(B*M) */ ++/* */ ++/* Where M is in the range -DECDPUNMAX through +DECDPUNMAX. */ ++/* */ ++/* A may be shorter or longer than B. */ ++/* */ ++/* Leading zeros are not removed after a calculation. The result is */ ++/* either the same length as the longer of A and B (adding any */ ++/* shift), or one Unit longer than that (if a Unit carry occurred). */ ++/* */ ++/* A and B content are not altered unless C is also A or B. */ ++/* C may be the same array as A or B, but only if no zero padding is */ ++/* requested (that is, C may be B only if bshift==0). */ ++/* C is filled from the lsu; only those units necessary to complete */ ++/* the calculation are referenced. */ ++/* */ ++/* Arg1 is A first Unit (lsu) */ ++/* Arg2 is A length in Units */ ++/* Arg3 is B first Unit (lsu) */ ++/* Arg4 is B length in Units */ ++/* Arg5 is B shift in Units (>=0; pads with 0 units if positive) */ ++/* Arg6 is C first Unit (lsu) */ ++/* Arg7 is M, the multiplier */ ++/* */ ++/* returns the count of Units written to C, which will be non-zero */ ++/* and negated if the result is negative. That is, the sign of the */ ++/* returned Int is the sign of the result (positive for zero) and */ ++/* the absolute value of the Int is the count of Units. */ ++/* */ ++/* It is the caller's responsibility to make sure that C size is */ ++/* safe, allowing space if necessary for a one-Unit carry. */ ++/* */ ++/* This routine is severely performance-critical; *any* change here */ ++/* must be measured (timed) to assure no performance degradation. */ ++/* In particular, trickery here tends to be counter-productive, as */ ++/* increased complexity of code hurts register optimizations on */ ++/* register-poor architectures. Avoiding divisions is nearly */ ++/* always a Good Idea, however. */ ++/* */ ++/* Special thanks to Rick McGuire (IBM Cambridge, MA) and Dave Clark */ ++/* (IBM Warwick, UK) for some of the ideas used in this routine. */ ++/* ------------------------------------------------------------------ */ ++static Int decUnitAddSub(const Unit *a, Int alength, ++ const Unit *b, Int blength, Int bshift, ++ Unit *c, Int m) { ++ const Unit *alsu=a; // A lsu [need to remember it] ++ Unit *clsu=c; // C ditto ++ Unit *minC; // low water mark for C ++ Unit *maxC; // high water mark for C ++ eInt carry=0; // carry integer (could be Long) ++ Int add; // work ++ #if DECDPUN<=4 // myriadal, millenary, etc. ++ Int est; // estimated quotient ++ #endif ++ ++ #if DECTRACE ++ if (alength<1 || blength<1) ++ printf("decUnitAddSub: alen blen m %ld %ld [%ld]\n", alength, blength, m); ++ #endif ++ ++ maxC=c+alength; // A is usually the longer ++ minC=c+blength; // .. and B the shorter ++ if (bshift!=0) { // B is shifted; low As copy across ++ minC+=bshift; ++ // if in place [common], skip copy unless there's a gap [rare] ++ if (a==c && bshift<=alength) { ++ c+=bshift; ++ a+=bshift; ++ } ++ else for (; cmaxC) { // swap ++ Unit *hold=minC; ++ minC=maxC; ++ maxC=hold; ++ } ++ ++ // For speed, do the addition as two loops; the first where both A ++ // and B contribute, and the second (if necessary) where only one or ++ // other of the numbers contribute. ++ // Carry handling is the same (i.e., duplicated) in each case. ++ for (; c=0) { ++ est=(((ueInt)carry>>11)*53687)>>18; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // likely quotient [89%] ++ if (*c>11)*53687)>>18; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ if (*c=0) { ++ est=(((ueInt)carry>>3)*16777)>>21; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // likely quotient [99%] ++ if (*c>3)*16777)>>21; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ if (*c=0) { ++ est=QUOT10(carry, DECDPUN); ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // quotient ++ continue; ++ } ++ // negative case ++ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive ++ est=QUOT10(carry, DECDPUN); ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ #else ++ // remainder operator is undefined if negative, so must test ++ if ((ueInt)carry<(DECDPUNMAX+1)*2) { // fastpath carry +1 ++ *c=(Unit)(carry-(DECDPUNMAX+1)); // [helps additions] ++ carry=1; ++ continue; ++ } ++ if (carry>=0) { ++ *c=(Unit)(carry%(DECDPUNMAX+1)); ++ carry=carry/(DECDPUNMAX+1); ++ continue; ++ } ++ // negative case ++ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive ++ *c=(Unit)(carry%(DECDPUNMAX+1)); ++ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1); ++ #endif ++ } // c ++ ++ // now may have one or other to complete ++ // [pretest to avoid loop setup/shutdown] ++ if (cDECDPUNMAX ++ #if DECDPUN==4 // use divide-by-multiply ++ if (carry>=0) { ++ est=(((ueInt)carry>>11)*53687)>>18; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // likely quotient [79.7%] ++ if (*c>11)*53687)>>18; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ if (*c=0) { ++ est=(((ueInt)carry>>3)*16777)>>21; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // likely quotient [99%] ++ if (*c>3)*16777)>>21; ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ if (*c=0) { ++ est=QUOT10(carry, DECDPUN); ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); // remainder ++ carry=est; // quotient ++ continue; ++ } ++ // negative case ++ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive ++ est=QUOT10(carry, DECDPUN); ++ *c=(Unit)(carry-est*(DECDPUNMAX+1)); ++ carry=est-(DECDPUNMAX+1); // correctly negative ++ #else ++ if ((ueInt)carry<(DECDPUNMAX+1)*2){ // fastpath carry 1 ++ *c=(Unit)(carry-(DECDPUNMAX+1)); ++ carry=1; ++ continue; ++ } ++ // remainder operator is undefined if negative, so must test ++ if (carry>=0) { ++ *c=(Unit)(carry%(DECDPUNMAX+1)); ++ carry=carry/(DECDPUNMAX+1); ++ continue; ++ } ++ // negative case ++ carry=carry+(eInt)(DECDPUNMAX+1)*(DECDPUNMAX+1); // make positive ++ *c=(Unit)(carry%(DECDPUNMAX+1)); ++ carry=carry/(DECDPUNMAX+1)-(DECDPUNMAX+1); ++ #endif ++ } // c ++ ++ // OK, all A and B processed; might still have carry or borrow ++ // return number of Units in the result, negated if a borrow ++ if (carry==0) return c-clsu; // no carry, so no more to do ++ if (carry>0) { // positive carry ++ *c=(Unit)carry; // place as new unit ++ c++; // .. ++ return c-clsu; ++ } ++ // -ve carry: it's a borrow; complement needed ++ add=1; // temporary carry... ++ for (c=clsu; c current Unit ++ ++ #if DECCHECK ++ if (decCheckOperands(dn, DECUNUSED, DECUNUSED, DECUNCONT)) return dn; ++ #endif ++ ++ *dropped=0; // assume no zeros dropped ++ if ((dn->bits & DECSPECIAL) // fast exit if special .. ++ || (*dn->lsu & 0x01)) return dn; // .. or odd ++ if (ISZERO(dn)) { // .. or 0 ++ dn->exponent=0; // (sign is preserved) ++ return dn; ++ } ++ ++ // have a finite number which is even ++ exp=dn->exponent; ++ cut=1; // digit (1-DECDPUN) in Unit ++ up=dn->lsu; // -> current Unit ++ for (d=0; ddigits-1; d++) { // [don't strip the final digit] ++ // slice by powers ++ #if DECDPUN<=4 ++ uInt quot=QUOT10(*up, cut); ++ if ((*up-quot*powers[cut])!=0) break; // found non-0 digit ++ #else ++ if (*up%powers[cut]!=0) break; // found non-0 digit ++ #endif ++ // have a trailing 0 ++ if (!all) { // trimming ++ // [if exp>0 then all trailing 0s are significant for trim] ++ if (exp<=0) { // if digit might be significant ++ if (exp==0) break; // then quit ++ exp++; // next digit might be significant ++ } ++ } ++ cut++; // next power ++ if (cut>DECDPUN) { // need new Unit ++ up++; ++ cut=1; ++ } ++ } // d ++ if (d==0) return dn; // none to drop ++ ++ // may need to limit drop if clamping ++ if (set->clamp && !noclamp) { ++ Int maxd=set->emax-set->digits+1-dn->exponent; ++ if (maxd<=0) return dn; // nothing possible ++ if (d>maxd) d=maxd; ++ } ++ ++ // effect the drop ++ decShiftToLeast(dn->lsu, D2U(dn->digits), d); ++ dn->exponent+=d; // maintain numerical value ++ dn->digits-=d; // new length ++ *dropped=d; // report the count ++ return dn; ++ } // decTrim ++ ++/* ------------------------------------------------------------------ */ ++/* decReverse -- reverse a Unit array in place */ ++/* */ ++/* ulo is the start of the array */ ++/* uhi is the end of the array (highest Unit to include) */ ++/* */ ++/* The units ulo through uhi are reversed in place (if the number */ ++/* of units is odd, the middle one is untouched). Note that the */ ++/* digit(s) in each unit are unaffected. */ ++/* ------------------------------------------------------------------ */ ++static void decReverse(Unit *ulo, Unit *uhi) { ++ Unit temp; ++ for (; ulo=uar; source--, target--) *target=*source; ++ } ++ else { ++ first=uar+D2U(digits+shift)-1; // where msu of source will end up ++ for (; source>=uar; source--, target--) { ++ // split the source Unit and accumulate remainder for next ++ #if DECDPUN<=4 ++ uInt quot=QUOT10(*source, cut); ++ uInt rem=*source-quot*powers[cut]; ++ next+=quot; ++ #else ++ uInt rem=*source%powers[cut]; ++ next+=*source/powers[cut]; ++ #endif ++ if (target<=first) *target=(Unit)next; // write to target iff valid ++ next=rem*powers[DECDPUN-cut]; // save remainder for next Unit ++ } ++ } // shift-move ++ ++ // propagate any partial unit to one below and clear the rest ++ for (; target>=uar; target--) { ++ *target=(Unit)next; ++ next=0; ++ } ++ return digits+shift; ++ } // decShiftToMost ++ ++/* ------------------------------------------------------------------ */ ++/* decShiftToLeast -- shift digits in array towards least significant */ ++/* */ ++/* uar is the array */ ++/* units is length of the array, in units */ ++/* shift is the number of digits to remove from the lsu end; it */ ++/* must be zero or positive and <= than units*DECDPUN. */ ++/* */ ++/* returns the new length of the integer in the array, in units */ ++/* */ ++/* Removed digits are discarded (lost). Units not required to hold */ ++/* the final result are unchanged. */ ++/* ------------------------------------------------------------------ */ ++static Int decShiftToLeast(Unit *uar, Int units, Int shift) { ++ Unit *target, *up; // work ++ Int cut, count; // work ++ Int quot, rem; // for division ++ ++ if (shift==0) return units; // [fastpath] nothing to do ++ if (shift==units*DECDPUN) { // [fastpath] little to do ++ *uar=0; // all digits cleared gives zero ++ return 1; // leaves just the one ++ } ++ ++ target=uar; // both paths ++ cut=MSUDIGITS(shift); ++ if (cut==DECDPUN) { // unit-boundary case; easy ++ up=uar+D2U(shift); ++ for (; updigits is > set->digits) */ ++/* set is the relevant context */ ++/* status is the status accumulator */ ++/* */ ++/* returns an allocated decNumber with the rounded result. */ ++/* */ ++/* lostDigits and other status may be set by this. */ ++/* */ ++/* Since the input is an operand, it must not be modified. */ ++/* Instead, return an allocated decNumber, rounded as required. */ ++/* It is the caller's responsibility to free the allocated storage. */ ++/* */ ++/* If no storage is available then the result cannot be used, so NULL */ ++/* is returned. */ ++/* ------------------------------------------------------------------ */ ++static decNumber *decRoundOperand(const decNumber *dn, decContext *set, ++ uInt *status) { ++ decNumber *res; // result structure ++ uInt newstatus=0; // status from round ++ Int residue=0; // rounding accumulator ++ ++ // Allocate storage for the returned decNumber, big enough for the ++ // length specified by the context ++ res=(decNumber *)malloc(sizeof(decNumber) ++ +(D2U(set->digits)-1)*sizeof(Unit)); ++ if (res==NULL) { ++ *status|=DEC_Insufficient_storage; ++ return NULL; ++ } ++ decCopyFit(res, dn, set, &residue, &newstatus); ++ decApplyRound(res, set, residue, &newstatus); ++ ++ // If that set Inexact then "lost digits" is raised... ++ if (newstatus & DEC_Inexact) newstatus|=DEC_Lost_digits; ++ *status|=newstatus; ++ return res; ++ } // decRoundOperand ++#endif ++ ++/* ------------------------------------------------------------------ */ ++/* decCopyFit -- copy a number, truncating the coefficient if needed */ ++/* */ ++/* dest is the target decNumber */ ++/* src is the source decNumber */ ++/* set is the context [used for length (digits) and rounding mode] */ ++/* residue is the residue accumulator */ ++/* status contains the current status to be updated */ ++/* */ ++/* (dest==src is allowed and will be a no-op if fits) */ ++/* All fields are updated as required. */ ++/* ------------------------------------------------------------------ */ ++static void decCopyFit(decNumber *dest, const decNumber *src, ++ decContext *set, Int *residue, uInt *status) { ++ dest->bits=src->bits; ++ dest->exponent=src->exponent; ++ decSetCoeff(dest, set, src->lsu, src->digits, residue, status); ++ } // decCopyFit ++ ++/* ------------------------------------------------------------------ */ ++/* decSetCoeff -- set the coefficient of a number */ ++/* */ ++/* dn is the number whose coefficient array is to be set. */ ++/* It must have space for set->digits digits */ ++/* set is the context [for size] */ ++/* lsu -> lsu of the source coefficient [may be dn->lsu] */ ++/* len is digits in the source coefficient [may be dn->digits] */ ++/* residue is the residue accumulator. This has values as in */ ++/* decApplyRound, and will be unchanged unless the */ ++/* target size is less than len. In this case, the */ ++/* coefficient is truncated and the residue is updated to */ ++/* reflect the previous residue and the dropped digits. */ ++/* status is the status accumulator, as usual */ ++/* */ ++/* The coefficient may already be in the number, or it can be an */ ++/* external intermediate array. If it is in the number, lsu must == */ ++/* dn->lsu and len must == dn->digits. */ ++/* */ ++/* Note that the coefficient length (len) may be < set->digits, and */ ++/* in this case this merely copies the coefficient (or is a no-op */ ++/* if dn->lsu==lsu). */ ++/* */ ++/* Note also that (only internally, from decQuantizeOp and */ ++/* decSetSubnormal) the value of set->digits may be less than one, */ ++/* indicating a round to left. This routine handles that case */ ++/* correctly; caller ensures space. */ ++/* */ ++/* dn->digits, dn->lsu (and as required), and dn->exponent are */ ++/* updated as necessary. dn->bits (sign) is unchanged. */ ++/* */ ++/* DEC_Rounded status is set if any digits are discarded. */ ++/* DEC_Inexact status is set if any non-zero digits are discarded, or */ ++/* incoming residue was non-0 (implies rounded) */ ++/* ------------------------------------------------------------------ */ ++// mapping array: maps 0-9 to canonical residues, so that a residue ++// can be adjusted in the range [-1, +1] and achieve correct rounding ++// 0 1 2 3 4 5 6 7 8 9 ++static const uByte resmap[10]={0, 3, 3, 3, 3, 5, 7, 7, 7, 7}; ++static void decSetCoeff(decNumber *dn, decContext *set, const Unit *lsu, ++ Int len, Int *residue, uInt *status) { ++ Int discard; // number of digits to discard ++ uInt cut; // cut point in Unit ++ const Unit *up; // work ++ Unit *target; // .. ++ Int count; // .. ++ #if DECDPUN<=4 ++ uInt temp; // .. ++ #endif ++ ++ discard=len-set->digits; // digits to discard ++ if (discard<=0) { // no digits are being discarded ++ if (dn->lsu!=lsu) { // copy needed ++ // copy the coefficient array to the result number; no shift needed ++ count=len; // avoids D2U ++ up=lsu; ++ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN) ++ *target=*up; ++ dn->digits=len; // set the new length ++ } ++ // dn->exponent and residue are unchanged, record any inexactitude ++ if (*residue!=0) *status|=(DEC_Inexact | DEC_Rounded); ++ return; ++ } ++ ++ // some digits must be discarded ... ++ dn->exponent+=discard; // maintain numerical value ++ *status|=DEC_Rounded; // accumulate Rounded status ++ if (*residue>1) *residue=1; // previous residue now to right, so reduce ++ ++ if (discard>len) { // everything, +1, is being discarded ++ // guard digit is 0 ++ // residue is all the number [NB could be all 0s] ++ if (*residue<=0) { // not already positive ++ count=len; // avoids D2U ++ for (up=lsu; count>0; up++, count-=DECDPUN) if (*up!=0) { // found non-0 ++ *residue=1; ++ break; // no need to check any others ++ } ++ } ++ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude ++ *dn->lsu=0; // coefficient will now be 0 ++ dn->digits=1; // .. ++ return; ++ } // total discard ++ ++ // partial discard [most common case] ++ // here, at least the first (most significant) discarded digit exists ++ ++ // spin up the number, noting residue during the spin, until get to ++ // the Unit with the first discarded digit. When reach it, extract ++ // it and remember its position ++ count=0; ++ for (up=lsu;; up++) { ++ count+=DECDPUN; ++ if (count>=discard) break; // full ones all checked ++ if (*up!=0) *residue=1; ++ } // up ++ ++ // here up -> Unit with first discarded digit ++ cut=discard-(count-DECDPUN)-1; ++ if (cut==DECDPUN-1) { // unit-boundary case (fast) ++ Unit half=(Unit)powers[DECDPUN]>>1; ++ // set residue directly ++ if (*up>=half) { ++ if (*up>half) *residue=7; ++ else *residue+=5; // add sticky bit ++ } ++ else { // digits<=0) { // special for Quantize/Subnormal :-( ++ *dn->lsu=0; // .. result is 0 ++ dn->digits=1; // .. ++ } ++ else { // shift to least ++ count=set->digits; // now digits to end up with ++ dn->digits=count; // set the new length ++ up++; // move to next ++ // on unit boundary, so shift-down copy loop is simple ++ for (target=dn->lsu; count>0; target++, up++, count-=DECDPUN) ++ *target=*up; ++ } ++ } // unit-boundary case ++ ++ else { // discard digit is in low digit(s), and not top digit ++ uInt discard1; // first discarded digit ++ uInt quot, rem; // for divisions ++ if (cut==0) quot=*up; // is at bottom of unit ++ else /* cut>0 */ { // it's not at bottom of unit ++ #if DECDPUN<=4 ++ quot=QUOT10(*up, cut); ++ rem=*up-quot*powers[cut]; ++ #else ++ rem=*up%powers[cut]; ++ quot=*up/powers[cut]; ++ #endif ++ if (rem!=0) *residue=1; ++ } ++ // discard digit is now at bottom of quot ++ #if DECDPUN<=4 ++ temp=(quot*6554)>>16; // fast /10 ++ // Vowels algorithm here not a win (9 instructions) ++ discard1=quot-X10(temp); ++ quot=temp; ++ #else ++ discard1=quot%10; ++ quot=quot/10; ++ #endif ++ // here, discard1 is the guard digit, and residue is everything ++ // else [use mapping array to accumulate residue safely] ++ *residue+=resmap[discard1]; ++ cut++; // update cut ++ // here: up -> Unit of the array with bottom digit ++ // cut is the division point for each Unit ++ // quot holds the uncut high-order digits for the current unit ++ if (set->digits<=0) { // special for Quantize/Subnormal :-( ++ *dn->lsu=0; // .. result is 0 ++ dn->digits=1; // .. ++ } ++ else { // shift to least needed ++ count=set->digits; // now digits to end up with ++ dn->digits=count; // set the new length ++ // shift-copy the coefficient array to the result number ++ for (target=dn->lsu; ; target++) { ++ *target=(Unit)quot; ++ count-=(DECDPUN-cut); ++ if (count<=0) break; ++ up++; ++ quot=*up; ++ #if DECDPUN<=4 ++ quot=QUOT10(quot, cut); ++ rem=*up-quot*powers[cut]; ++ #else ++ rem=quot%powers[cut]; ++ quot=quot/powers[cut]; ++ #endif ++ *target=(Unit)(*target+rem*powers[DECDPUN-cut]); ++ count-=cut; ++ if (count<=0) break; ++ } // shift-copy loop ++ } // shift to least ++ } // not unit boundary ++ ++ if (*residue!=0) *status|=DEC_Inexact; // record inexactitude ++ return; ++ } // decSetCoeff ++ ++/* ------------------------------------------------------------------ */ ++/* decApplyRound -- apply pending rounding to a number */ ++/* */ ++/* dn is the number, with space for set->digits digits */ ++/* set is the context [for size and rounding mode] */ ++/* residue indicates pending rounding, being any accumulated */ ++/* guard and sticky information. It may be: */ ++/* 6-9: rounding digit is >5 */ ++/* 5: rounding digit is exactly half-way */ ++/* 1-4: rounding digit is <5 and >0 */ ++/* 0: the coefficient is exact */ ++/* -1: as 1, but the hidden digits are subtractive, that */ ++/* is, of the opposite sign to dn. In this case the */ ++/* coefficient must be non-0. This case occurs when */ ++/* subtracting a small number (which can be reduced to */ ++/* a sticky bit); see decAddOp. */ ++/* status is the status accumulator, as usual */ ++/* */ ++/* This routine applies rounding while keeping the length of the */ ++/* coefficient constant. The exponent and status are unchanged */ ++/* except if: */ ++/* */ ++/* -- the coefficient was increased and is all nines (in which */ ++/* case Overflow could occur, and is handled directly here so */ ++/* the caller does not need to re-test for overflow) */ ++/* */ ++/* -- the coefficient was decreased and becomes all nines (in which */ ++/* case Underflow could occur, and is also handled directly). */ ++/* */ ++/* All fields in dn are updated as required. */ ++/* */ ++/* ------------------------------------------------------------------ */ ++static void decApplyRound(decNumber *dn, decContext *set, Int residue, ++ uInt *status) { ++ Int bump; // 1 if coefficient needs to be incremented ++ // -1 if coefficient needs to be decremented ++ ++ if (residue==0) return; // nothing to apply ++ ++ bump=0; // assume a smooth ride ++ ++ // now decide whether, and how, to round, depending on mode ++ switch (set->round) { ++ case DEC_ROUND_05UP: { // round zero or five up (for reround) ++ // This is the same as DEC_ROUND_DOWN unless there is a ++ // positive residue and the lsd of dn is 0 or 5, in which case ++ // it is bumped; when residue is <0, the number is therefore ++ // bumped down unless the final digit was 1 or 6 (in which ++ // case it is bumped down and then up -- a no-op) ++ Int lsd5=*dn->lsu%5; // get lsd and quintate ++ if (residue<0 && lsd5!=1) bump=-1; ++ else if (residue>0 && lsd5==0) bump=1; ++ // [bump==1 could be applied directly; use common path for clarity] ++ break;} // r-05 ++ ++ case DEC_ROUND_DOWN: { ++ // no change, except if negative residue ++ if (residue<0) bump=-1; ++ break;} // r-d ++ ++ case DEC_ROUND_HALF_DOWN: { ++ if (residue>5) bump=1; ++ break;} // r-h-d ++ ++ case DEC_ROUND_HALF_EVEN: { ++ if (residue>5) bump=1; // >0.5 goes up ++ else if (residue==5) { // exactly 0.5000... ++ // 0.5 goes up iff [new] lsd is odd ++ if (*dn->lsu & 0x01) bump=1; ++ } ++ break;} // r-h-e ++ ++ case DEC_ROUND_HALF_UP: { ++ if (residue>=5) bump=1; ++ break;} // r-h-u ++ ++ case DEC_ROUND_UP: { ++ if (residue>0) bump=1; ++ break;} // r-u ++ ++ case DEC_ROUND_CEILING: { ++ // same as _UP for positive numbers, and as _DOWN for negatives ++ // [negative residue cannot occur on 0] ++ if (decNumberIsNegative(dn)) { ++ if (residue<0) bump=-1; ++ } ++ else { ++ if (residue>0) bump=1; ++ } ++ break;} // r-c ++ ++ case DEC_ROUND_FLOOR: { ++ // same as _UP for negative numbers, and as _DOWN for positive ++ // [negative residue cannot occur on 0] ++ if (!decNumberIsNegative(dn)) { ++ if (residue<0) bump=-1; ++ } ++ else { ++ if (residue>0) bump=1; ++ } ++ break;} // r-f ++ ++ default: { // e.g., DEC_ROUND_MAX ++ *status|=DEC_Invalid_context; ++ #if DECTRACE || (DECCHECK && DECVERB) ++ printf("Unknown rounding mode: %d\n", set->round); ++ #endif ++ break;} ++ } // switch ++ ++ // now bump the number, up or down, if need be ++ if (bump==0) return; // no action required ++ ++ // Simply use decUnitAddSub unless bumping up and the number is ++ // all nines. In this special case set to 100... explicitly ++ // and adjust the exponent by one (as otherwise could overflow ++ // the array) ++ // Similarly handle all-nines result if bumping down. ++ if (bump>0) { ++ Unit *up; // work ++ uInt count=dn->digits; // digits to be checked ++ for (up=dn->lsu; ; up++) { ++ if (count<=DECDPUN) { ++ // this is the last Unit (the msu) ++ if (*up!=powers[count]-1) break; // not still 9s ++ // here if it, too, is all nines ++ *up=(Unit)powers[count-1]; // here 999 -> 100 etc. ++ for (up=up-1; up>=dn->lsu; up--) *up=0; // others all to 0 ++ dn->exponent++; // and bump exponent ++ // [which, very rarely, could cause Overflow...] ++ if ((dn->exponent+dn->digits)>set->emax+1) { ++ decSetOverflow(dn, set, status); ++ } ++ return; // done ++ } ++ // a full unit to check, with more to come ++ if (*up!=DECDPUNMAX) break; // not still 9s ++ count-=DECDPUN; ++ } // up ++ } // bump>0 ++ else { // -1 ++ // here checking for a pre-bump of 1000... (leading 1, all ++ // other digits zero) ++ Unit *up, *sup; // work ++ uInt count=dn->digits; // digits to be checked ++ for (up=dn->lsu; ; up++) { ++ if (count<=DECDPUN) { ++ // this is the last Unit (the msu) ++ if (*up!=powers[count-1]) break; // not 100.. ++ // here if have the 1000... case ++ sup=up; // save msu pointer ++ *up=(Unit)powers[count]-1; // here 100 in msu -> 999 ++ // others all to all-nines, too ++ for (up=up-1; up>=dn->lsu; up--) *up=(Unit)powers[DECDPUN]-1; ++ dn->exponent--; // and bump exponent ++ ++ // iff the number was at the subnormal boundary (exponent=etiny) ++ // then the exponent is now out of range, so it will in fact get ++ // clamped to etiny and the final 9 dropped. ++ // printf(">> emin=%d exp=%d sdig=%d\n", set->emin, ++ // dn->exponent, set->digits); ++ if (dn->exponent+1==set->emin-set->digits+1) { ++ if (count==1 && dn->digits==1) *sup=0; // here 9 -> 0[.9] ++ else { ++ *sup=(Unit)powers[count-1]-1; // here 999.. in msu -> 99.. ++ dn->digits--; ++ } ++ dn->exponent++; ++ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded; ++ } ++ return; // done ++ } ++ ++ // a full unit to check, with more to come ++ if (*up!=0) break; // not still 0s ++ count-=DECDPUN; ++ } // up ++ ++ } // bump<0 ++ ++ // Actual bump needed. Do it. ++ decUnitAddSub(dn->lsu, D2U(dn->digits), uarrone, 1, 0, dn->lsu, bump); ++ } // decApplyRound ++ ++#if DECSUBSET ++/* ------------------------------------------------------------------ */ ++/* decFinish -- finish processing a number */ ++/* */ ++/* dn is the number */ ++/* set is the context */ ++/* residue is the rounding accumulator (as in decApplyRound) */ ++/* status is the accumulator */ ++/* */ ++/* This finishes off the current number by: */ ++/* 1. If not extended: */ ++/* a. Converting a zero result to clean '0' */ ++/* b. Reducing positive exponents to 0, if would fit in digits */ ++/* 2. Checking for overflow and subnormals (always) */ ++/* Note this is just Finalize when no subset arithmetic. */ ++/* All fields are updated as required. */ ++/* ------------------------------------------------------------------ */ ++static void decFinish(decNumber *dn, decContext *set, Int *residue, ++ uInt *status) { ++ if (!set->extended) { ++ if ISZERO(dn) { // value is zero ++ dn->exponent=0; // clean exponent .. ++ dn->bits=0; // .. and sign ++ return; // no error possible ++ } ++ if (dn->exponent>=0) { // non-negative exponent ++ // >0; reduce to integer if possible ++ if (set->digits >= (dn->exponent+dn->digits)) { ++ dn->digits=decShiftToMost(dn->lsu, dn->digits, dn->exponent); ++ dn->exponent=0; ++ } ++ } ++ } // !extended ++ ++ decFinalize(dn, set, residue, status); ++ } // decFinish ++#endif ++ ++/* ------------------------------------------------------------------ */ ++/* decFinalize -- final check, clamp, and round of a number */ ++/* */ ++/* dn is the number */ ++/* set is the context */ ++/* residue is the rounding accumulator (as in decApplyRound) */ ++/* status is the status accumulator */ ++/* */ ++/* This finishes off the current number by checking for subnormal */ ++/* results, applying any pending rounding, checking for overflow, */ ++/* and applying any clamping. */ ++/* Underflow and overflow conditions are raised as appropriate. */ ++/* All fields are updated as required. */ ++/* ------------------------------------------------------------------ */ ++static void decFinalize(decNumber *dn, decContext *set, Int *residue, ++ uInt *status) { ++ Int shift; // shift needed if clamping ++ Int tinyexp=set->emin-dn->digits+1; // precalculate subnormal boundary ++ ++ // Must be careful, here, when checking the exponent as the ++ // adjusted exponent could overflow 31 bits [because it may already ++ // be up to twice the expected]. ++ ++ // First test for subnormal. This must be done before any final ++ // round as the result could be rounded to Nmin or 0. ++ if (dn->exponent<=tinyexp) { // prefilter ++ Int comp; ++ decNumber nmin; ++ // A very nasty case here is dn == Nmin and residue<0 ++ if (dn->exponentemin; ++ comp=decCompare(dn, &nmin, 1); // (signless compare) ++ if (comp==BADINT) { // oops ++ *status|=DEC_Insufficient_storage; // abandon... ++ return; ++ } ++ if (*residue<0 && comp==0) { // neg residue and dn==Nmin ++ decApplyRound(dn, set, *residue, status); // might force down ++ decSetSubnormal(dn, set, residue, status); ++ return; ++ } ++ } ++ ++ // now apply any pending round (this could raise overflow). ++ if (*residue!=0) decApplyRound(dn, set, *residue, status); ++ ++ // Check for overflow [redundant in the 'rare' case] or clamp ++ if (dn->exponent<=set->emax-set->digits+1) return; // neither needed ++ ++ ++ // here when might have an overflow or clamp to do ++ if (dn->exponent>set->emax-dn->digits+1) { // too big ++ decSetOverflow(dn, set, status); ++ return; ++ } ++ // here when the result is normal but in clamp range ++ if (!set->clamp) return; ++ ++ // here when need to apply the IEEE exponent clamp (fold-down) ++ shift=dn->exponent-(set->emax-set->digits+1); ++ ++ // shift coefficient (if non-zero) ++ if (!ISZERO(dn)) { ++ dn->digits=decShiftToMost(dn->lsu, dn->digits, shift); ++ } ++ dn->exponent-=shift; // adjust the exponent to match ++ *status|=DEC_Clamped; // and record the dirty deed ++ return; ++ } // decFinalize ++ ++/* ------------------------------------------------------------------ */ ++/* decSetOverflow -- set number to proper overflow value */ ++/* */ ++/* dn is the number (used for sign [only] and result) */ ++/* set is the context [used for the rounding mode, etc.] */ ++/* status contains the current status to be updated */ ++/* */ ++/* This sets the sign of a number and sets its value to either */ ++/* Infinity or the maximum finite value, depending on the sign of */ ++/* dn and the rounding mode, following IEEE 754 rules. */ ++/* ------------------------------------------------------------------ */ ++static void decSetOverflow(decNumber *dn, decContext *set, uInt *status) { ++ Flag needmax=0; // result is maximum finite value ++ uByte sign=dn->bits&DECNEG; // clean and save sign bit ++ ++ if (ISZERO(dn)) { // zero does not overflow magnitude ++ Int emax=set->emax; // limit value ++ if (set->clamp) emax-=set->digits-1; // lower if clamping ++ if (dn->exponent>emax) { // clamp required ++ dn->exponent=emax; ++ *status|=DEC_Clamped; ++ } ++ return; ++ } ++ ++ decNumberZero(dn); ++ switch (set->round) { ++ case DEC_ROUND_DOWN: { ++ needmax=1; // never Infinity ++ break;} // r-d ++ case DEC_ROUND_05UP: { ++ needmax=1; // never Infinity ++ break;} // r-05 ++ case DEC_ROUND_CEILING: { ++ if (sign) needmax=1; // Infinity if non-negative ++ break;} // r-c ++ case DEC_ROUND_FLOOR: { ++ if (!sign) needmax=1; // Infinity if negative ++ break;} // r-f ++ default: break; // Infinity in all other cases ++ } ++ if (needmax) { ++ decSetMaxValue(dn, set); ++ dn->bits=sign; // set sign ++ } ++ else dn->bits=sign|DECINF; // Value is +/-Infinity ++ *status|=DEC_Overflow | DEC_Inexact | DEC_Rounded; ++ } // decSetOverflow ++ ++/* ------------------------------------------------------------------ */ ++/* decSetMaxValue -- set number to +Nmax (maximum normal value) */ ++/* */ ++/* dn is the number to set */ ++/* set is the context [used for digits and emax] */ ++/* */ ++/* This sets the number to the maximum positive value. */ ++/* ------------------------------------------------------------------ */ ++static void decSetMaxValue(decNumber *dn, decContext *set) { ++ Unit *up; // work ++ Int count=set->digits; // nines to add ++ dn->digits=count; ++ // fill in all nines to set maximum value ++ for (up=dn->lsu; ; up++) { ++ if (count>DECDPUN) *up=DECDPUNMAX; // unit full o'nines ++ else { // this is the msu ++ *up=(Unit)(powers[count]-1); ++ break; ++ } ++ count-=DECDPUN; // filled those digits ++ } // up ++ dn->bits=0; // + sign ++ dn->exponent=set->emax-set->digits+1; ++ } // decSetMaxValue ++ ++/* ------------------------------------------------------------------ */ ++/* decSetSubnormal -- process value whose exponent is extended) { ++ decNumberZero(dn); ++ // always full overflow ++ *status|=DEC_Underflow | DEC_Subnormal | DEC_Inexact | DEC_Rounded; ++ return; ++ } ++ #endif ++ ++ // Full arithmetic -- allow subnormals, rounded to minimum exponent ++ // (Etiny) if needed ++ etiny=set->emin-(set->digits-1); // smallest allowed exponent ++ ++ if ISZERO(dn) { // value is zero ++ // residue can never be non-zero here ++ #if DECCHECK ++ if (*residue!=0) { ++ printf("++ Subnormal 0 residue %ld\n", (LI)*residue); ++ *status|=DEC_Invalid_operation; ++ } ++ #endif ++ if (dn->exponentexponent=etiny; ++ *status|=DEC_Clamped; ++ } ++ return; ++ } ++ ++ *status|=DEC_Subnormal; // have a non-zero subnormal ++ adjust=etiny-dn->exponent; // calculate digits to remove ++ if (adjust<=0) { // not out of range; unrounded ++ // residue can never be non-zero here, except in the Nmin-residue ++ // case (which is a subnormal result), so can take fast-path here ++ // it may already be inexact (from setting the coefficient) ++ if (*status&DEC_Inexact) *status|=DEC_Underflow; ++ return; ++ } ++ ++ // adjust>0, so need to rescale the result so exponent becomes Etiny ++ // [this code is similar to that in rescale] ++ workset=*set; // clone rounding, etc. ++ workset.digits=dn->digits-adjust; // set requested length ++ workset.emin-=adjust; // and adjust emin to match ++ // [note that the latter can be <1, here, similar to Rescale case] ++ decSetCoeff(dn, &workset, dn->lsu, dn->digits, residue, status); ++ decApplyRound(dn, &workset, *residue, status); ++ ++ // Use 754 default rule: Underflow is set iff Inexact ++ // [independent of whether trapped] ++ if (*status&DEC_Inexact) *status|=DEC_Underflow; ++ ++ // if rounded up a 999s case, exponent will be off by one; adjust ++ // back if so [it will fit, because it was shortened earlier] ++ if (dn->exponent>etiny) { ++ dn->digits=decShiftToMost(dn->lsu, dn->digits, 1); ++ dn->exponent--; // (re)adjust the exponent. ++ } ++ ++ // if rounded to zero, it is by definition clamped... ++ if (ISZERO(dn)) *status|=DEC_Clamped; ++ } // decSetSubnormal ++ ++/* ------------------------------------------------------------------ */ ++/* decCheckMath - check entry conditions for a math function */ ++/* */ ++/* This checks the context and the operand */ ++/* */ ++/* rhs is the operand to check */ ++/* set is the context to check */ ++/* status is unchanged if both are good */ ++/* */ ++/* returns non-zero if status is changed, 0 otherwise */ ++/* */ ++/* Restrictions enforced: */ ++/* */ ++/* digits, emax, and -emin in the context must be less than */ ++/* DEC_MAX_MATH (999999), and A must be within these bounds if */ ++/* non-zero. Invalid_operation is set in the status if a */ ++/* restriction is violated. */ ++/* ------------------------------------------------------------------ */ ++static uInt decCheckMath(const decNumber *rhs, decContext *set, ++ uInt *status) { ++ uInt save=*status; // record ++ if (set->digits>DEC_MAX_MATH ++ || set->emax>DEC_MAX_MATH ++ || -set->emin>DEC_MAX_MATH) *status|=DEC_Invalid_context; ++ else if ((rhs->digits>DEC_MAX_MATH ++ || rhs->exponent+rhs->digits>DEC_MAX_MATH+1 ++ || rhs->exponent+rhs->digits<2*(1-DEC_MAX_MATH)) ++ && !ISZERO(rhs)) *status|=DEC_Invalid_operation; ++ return (*status!=save); ++ } // decCheckMath ++ ++/* ------------------------------------------------------------------ */ ++/* decGetInt -- get integer from a number */ ++/* */ ++/* dn is the number [which will not be altered] */ ++/* */ ++/* returns one of: */ ++/* BADINT if there is a non-zero fraction */ ++/* the converted integer */ ++/* BIGEVEN if the integer is even and magnitude > 2*10**9 */ ++/* BIGODD if the integer is odd and magnitude > 2*10**9 */ ++/* */ ++/* This checks and gets a whole number from the input decNumber. */ ++/* The sign can be determined from dn by the caller when BIGEVEN or */ ++/* BIGODD is returned. */ ++/* ------------------------------------------------------------------ */ ++static Int decGetInt(const decNumber *dn) { ++ Int theInt; // result accumulator ++ const Unit *up; // work ++ Int got; // digits (real or not) processed ++ Int ilength=dn->digits+dn->exponent; // integral length ++ Flag neg=decNumberIsNegative(dn); // 1 if -ve ++ ++ // The number must be an integer that fits in 10 digits ++ // Assert, here, that 10 is enough for any rescale Etiny ++ #if DEC_MAX_EMAX > 999999999 ++ #error GetInt may need updating [for Emax] ++ #endif ++ #if DEC_MIN_EMIN < -999999999 ++ #error GetInt may need updating [for Emin] ++ #endif ++ if (ISZERO(dn)) return 0; // zeros are OK, with any exponent ++ ++ up=dn->lsu; // ready for lsu ++ theInt=0; // ready to accumulate ++ if (dn->exponent>=0) { // relatively easy ++ // no fractional part [usual]; allow for positive exponent ++ got=dn->exponent; ++ } ++ else { // -ve exponent; some fractional part to check and discard ++ Int count=-dn->exponent; // digits to discard ++ // spin up whole units until reach the Unit with the unit digit ++ for (; count>=DECDPUN; up++) { ++ if (*up!=0) return BADINT; // non-zero Unit to discard ++ count-=DECDPUN; ++ } ++ if (count==0) got=0; // [a multiple of DECDPUN] ++ else { // [not multiple of DECDPUN] ++ Int rem; // work ++ // slice off fraction digits and check for non-zero ++ #if DECDPUN<=4 ++ theInt=QUOT10(*up, count); ++ rem=*up-theInt*powers[count]; ++ #else ++ rem=*up%powers[count]; // slice off discards ++ theInt=*up/powers[count]; ++ #endif ++ if (rem!=0) return BADINT; // non-zero fraction ++ // it looks good ++ got=DECDPUN-count; // number of digits so far ++ up++; // ready for next ++ } ++ } ++ // now it's known there's no fractional part ++ ++ // tricky code now, to accumulate up to 9.3 digits ++ if (got==0) {theInt=*up; got+=DECDPUN; up++;} // ensure lsu is there ++ ++ if (ilength<11) { ++ Int save=theInt; ++ // collect any remaining unit(s) ++ for (; got1999999997) ilength=11; ++ else if (!neg && theInt>999999999) ilength=11; ++ if (ilength==11) theInt=save; // restore correct low bit ++ } ++ } ++ ++ if (ilength>10) { // too big ++ if (theInt&1) return BIGODD; // bottom bit 1 ++ return BIGEVEN; // bottom bit 0 ++ } ++ ++ if (neg) theInt=-theInt; // apply sign ++ return theInt; ++ } // decGetInt ++ ++/* ------------------------------------------------------------------ */ ++/* decDecap -- decapitate the coefficient of a number */ ++/* */ ++/* dn is the number to be decapitated */ ++/* drop is the number of digits to be removed from the left of dn; */ ++/* this must be <= dn->digits (if equal, the coefficient is */ ++/* set to 0) */ ++/* */ ++/* Returns dn; dn->digits will be <= the initial digits less drop */ ++/* (after removing drop digits there may be leading zero digits */ ++/* which will also be removed). Only dn->lsu and dn->digits change. */ ++/* ------------------------------------------------------------------ */ ++static decNumber *decDecap(decNumber *dn, Int drop) { ++ Unit *msu; // -> target cut point ++ Int cut; // work ++ if (drop>=dn->digits) { // losing the whole thing ++ #if DECCHECK ++ if (drop>dn->digits) ++ printf("decDecap called with drop>digits [%ld>%ld]\n", ++ (LI)drop, (LI)dn->digits); ++ #endif ++ dn->lsu[0]=0; ++ dn->digits=1; ++ return dn; ++ } ++ msu=dn->lsu+D2U(dn->digits-drop)-1; // -> likely msu ++ cut=MSUDIGITS(dn->digits-drop); // digits to be in use in msu ++ if (cut!=DECDPUN) *msu%=powers[cut]; // clear left digits ++ // that may have left leading zero digits, so do a proper count... ++ dn->digits=decGetDigits(dn->lsu, msu-dn->lsu+1); ++ return dn; ++ } // decDecap ++ ++/* ------------------------------------------------------------------ */ ++/* decBiStr -- compare string with pairwise options */ ++/* */ ++/* targ is the string to compare */ ++/* str1 is one of the strings to compare against (length may be 0) */ ++/* str2 is the other; it must be the same length as str1 */ ++/* */ ++/* returns 1 if strings compare equal, (that is, it is the same */ ++/* length as str1 and str2, and each character of targ is in either */ ++/* str1 or str2 in the corresponding position), or 0 otherwise */ ++/* */ ++/* This is used for generic caseless compare, including the awkward */ ++/* case of the Turkish dotted and dotless Is. Use as (for example): */ ++/* if (decBiStr(test, "mike", "MIKE")) ... */ ++/* ------------------------------------------------------------------ */ ++static Flag decBiStr(const char *targ, const char *str1, const char *str2) { ++ for (;;targ++, str1++, str2++) { ++ if (*targ!=*str1 && *targ!=*str2) return 0; ++ // *targ has a match in one (or both, if terminator) ++ if (*targ=='\0') break; ++ } // forever ++ return 1; ++ } // decBiStr ++ ++/* ------------------------------------------------------------------ */ ++/* decNaNs -- handle NaN operand or operands */ ++/* */ ++/* res is the result number */ ++/* lhs is the first operand */ ++/* rhs is the second operand, or NULL if none */ ++/* context is used to limit payload length */ ++/* status contains the current status */ ++/* returns res in case convenient */ ++/* */ ++/* Called when one or both operands is a NaN, and propagates the */ ++/* appropriate result to res. When an sNaN is found, it is changed */ ++/* to a qNaN and Invalid operation is set. */ ++/* ------------------------------------------------------------------ */ ++static decNumber * decNaNs(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set, ++ uInt *status) { ++ // This decision tree ends up with LHS being the source pointer, ++ // and status updated if need be ++ if (lhs->bits & DECSNAN) ++ *status|=DEC_Invalid_operation | DEC_sNaN; ++ else if (rhs==NULL); ++ else if (rhs->bits & DECSNAN) { ++ lhs=rhs; ++ *status|=DEC_Invalid_operation | DEC_sNaN; ++ } ++ else if (lhs->bits & DECNAN); ++ else lhs=rhs; ++ ++ // propagate the payload ++ if (lhs->digits<=set->digits) decNumberCopy(res, lhs); // easy ++ else { // too long ++ const Unit *ul; ++ Unit *ur, *uresp1; ++ // copy safe number of units, then decapitate ++ res->bits=lhs->bits; // need sign etc. ++ uresp1=res->lsu+D2U(set->digits); ++ for (ur=res->lsu, ul=lhs->lsu; urdigits=D2U(set->digits)*DECDPUN; ++ // maybe still too long ++ if (res->digits>set->digits) decDecap(res, res->digits-set->digits); ++ } ++ ++ res->bits&=~DECSNAN; // convert any sNaN to NaN, while ++ res->bits|=DECNAN; // .. preserving sign ++ res->exponent=0; // clean exponent ++ // [coefficient was copied/decapitated] ++ return res; ++ } // decNaNs ++ ++/* ------------------------------------------------------------------ */ ++/* decStatus -- apply non-zero status */ ++/* */ ++/* dn is the number to set if error */ ++/* status contains the current status (not yet in context) */ ++/* set is the context */ ++/* */ ++/* If the status is an error status, the number is set to a NaN, */ ++/* unless the error was an overflow, divide-by-zero, or underflow, */ ++/* in which case the number will have already been set. */ ++/* */ ++/* The context status is then updated with the new status. Note that */ ++/* this may raise a signal, so control may never return from this */ ++/* routine (hence resources must be recovered before it is called). */ ++/* ------------------------------------------------------------------ */ ++static void decStatus(decNumber *dn, uInt status, decContext *set) { ++ if (status & DEC_NaNs) { // error status -> NaN ++ // if cause was an sNaN, clear and propagate [NaN is already set up] ++ if (status & DEC_sNaN) status&=~DEC_sNaN; ++ else { ++ decNumberZero(dn); // other error: clean throughout ++ dn->bits=DECNAN; // and make a quiet NaN ++ } ++ } ++ decContextSetStatus(set, status); // [may not return] ++ return; ++ } // decStatus ++ ++/* ------------------------------------------------------------------ */ ++/* decGetDigits -- count digits in a Units array */ ++/* */ ++/* uar is the Unit array holding the number (this is often an */ ++/* accumulator of some sort) */ ++/* len is the length of the array in units [>=1] */ ++/* */ ++/* returns the number of (significant) digits in the array */ ++/* */ ++/* All leading zeros are excluded, except the last if the array has */ ++/* only zero Units. */ ++/* ------------------------------------------------------------------ */ ++// This may be called twice during some operations. ++static Int decGetDigits(Unit *uar, Int len) { ++ Unit *up=uar+(len-1); // -> msu ++ Int digits=(len-1)*DECDPUN+1; // possible digits excluding msu ++ #if DECDPUN>4 ++ uInt const *pow; // work ++ #endif ++ // (at least 1 in final msu) ++ #if DECCHECK ++ if (len<1) printf("decGetDigits called with len<1 [%ld]\n", (LI)len); ++ #endif ++ ++ for (; up>=uar; up--) { ++ if (*up==0) { // unit is all 0s ++ if (digits==1) break; // a zero has one digit ++ digits-=DECDPUN; // adjust for 0 unit ++ continue;} ++ // found the first (most significant) non-zero Unit ++ #if DECDPUN>1 // not done yet ++ if (*up<10) break; // is 1-9 ++ digits++; ++ #if DECDPUN>2 // not done yet ++ if (*up<100) break; // is 10-99 ++ digits++; ++ #if DECDPUN>3 // not done yet ++ if (*up<1000) break; // is 100-999 ++ digits++; ++ #if DECDPUN>4 // count the rest ... ++ for (pow=&powers[4]; *up>=*pow; pow++) digits++; ++ #endif ++ #endif ++ #endif ++ #endif ++ break; ++ } // up ++ return digits; ++ } // decGetDigits ++ ++#if DECTRACE | DECCHECK ++/* ------------------------------------------------------------------ */ ++/* decNumberShow -- display a number [debug aid] */ ++/* dn is the number to show */ ++/* */ ++/* Shows: sign, exponent, coefficient (msu first), digits */ ++/* or: sign, special-value */ ++/* ------------------------------------------------------------------ */ ++// this is public so other modules can use it ++void decNumberShow(const decNumber *dn) { ++ const Unit *up; // work ++ uInt u, d; // .. ++ Int cut; // .. ++ char isign='+'; // main sign ++ if (dn==NULL) { ++ printf("NULL\n"); ++ return;} ++ if (decNumberIsNegative(dn)) isign='-'; ++ printf(" >> %c ", isign); ++ if (dn->bits&DECSPECIAL) { // Is a special value ++ if (decNumberIsInfinite(dn)) printf("Infinity"); ++ else { // a NaN ++ if (dn->bits&DECSNAN) printf("sNaN"); // signalling NaN ++ else printf("NaN"); ++ } ++ // if coefficient and exponent are 0, no more to do ++ if (dn->exponent==0 && dn->digits==1 && *dn->lsu==0) { ++ printf("\n"); ++ return;} ++ // drop through to report other information ++ printf(" "); ++ } ++ ++ // now carefully display the coefficient ++ up=dn->lsu+D2U(dn->digits)-1; // msu ++ printf("%ld", (LI)*up); ++ for (up=up-1; up>=dn->lsu; up--) { ++ u=*up; ++ printf(":"); ++ for (cut=DECDPUN-1; cut>=0; cut--) { ++ d=u/powers[cut]; ++ u-=d*powers[cut]; ++ printf("%ld", (LI)d); ++ } // cut ++ } // up ++ if (dn->exponent!=0) { ++ char esign='+'; ++ if (dn->exponent<0) esign='-'; ++ printf(" E%c%ld", esign, (LI)abs(dn->exponent)); ++ } ++ printf(" [%ld]\n", (LI)dn->digits); ++ } // decNumberShow ++#endif ++ ++#if DECTRACE || DECCHECK ++/* ------------------------------------------------------------------ */ ++/* decDumpAr -- display a unit array [debug/check aid] */ ++/* name is a single-character tag name */ ++/* ar is the array to display */ ++/* len is the length of the array in Units */ ++/* ------------------------------------------------------------------ */ ++static void decDumpAr(char name, const Unit *ar, Int len) { ++ Int i; ++ const char *spec; ++ #if DECDPUN==9 ++ spec="%09d "; ++ #elif DECDPUN==8 ++ spec="%08d "; ++ #elif DECDPUN==7 ++ spec="%07d "; ++ #elif DECDPUN==6 ++ spec="%06d "; ++ #elif DECDPUN==5 ++ spec="%05d "; ++ #elif DECDPUN==4 ++ spec="%04d "; ++ #elif DECDPUN==3 ++ spec="%03d "; ++ #elif DECDPUN==2 ++ spec="%02d "; ++ #else ++ spec="%d "; ++ #endif ++ printf(" :%c: ", name); ++ for (i=len-1; i>=0; i--) { ++ if (i==len-1) printf("%ld ", (LI)ar[i]); ++ else printf(spec, ar[i]); ++ } ++ printf("\n"); ++ return;} ++#endif ++ ++#if DECCHECK ++/* ------------------------------------------------------------------ */ ++/* decCheckOperands -- check operand(s) to a routine */ ++/* res is the result structure (not checked; it will be set to */ ++/* quiet NaN if error found (and it is not NULL)) */ ++/* lhs is the first operand (may be DECUNRESU) */ ++/* rhs is the second (may be DECUNUSED) */ ++/* set is the context (may be DECUNCONT) */ ++/* returns 0 if both operands, and the context are clean, or 1 */ ++/* otherwise (in which case the context will show an error, */ ++/* unless NULL). Note that res is not cleaned; caller should */ ++/* handle this so res=NULL case is safe. */ ++/* The caller is expected to abandon immediately if 1 is returned. */ ++/* ------------------------------------------------------------------ */ ++static Flag decCheckOperands(decNumber *res, const decNumber *lhs, ++ const decNumber *rhs, decContext *set) { ++ Flag bad=0; ++ if (set==NULL) { // oops; hopeless ++ #if DECTRACE || DECVERB ++ printf("Reference to context is NULL.\n"); ++ #endif ++ bad=1; ++ return 1;} ++ else if (set!=DECUNCONT ++ && (set->digits<1 || set->round>=DEC_ROUND_MAX)) { ++ bad=1; ++ #if DECTRACE || DECVERB ++ printf("Bad context [digits=%ld round=%ld].\n", ++ (LI)set->digits, (LI)set->round); ++ #endif ++ } ++ else { ++ if (res==NULL) { ++ bad=1; ++ #if DECTRACE ++ // this one not DECVERB as standard tests include NULL ++ printf("Reference to result is NULL.\n"); ++ #endif ++ } ++ if (!bad && lhs!=DECUNUSED) bad=(decCheckNumber(lhs)); ++ if (!bad && rhs!=DECUNUSED) bad=(decCheckNumber(rhs)); ++ } ++ if (bad) { ++ if (set!=DECUNCONT) decContextSetStatus(set, DEC_Invalid_operation); ++ if (res!=DECUNRESU && res!=NULL) { ++ decNumberZero(res); ++ res->bits=DECNAN; // qNaN ++ } ++ } ++ return bad; ++ } // decCheckOperands ++ ++/* ------------------------------------------------------------------ */ ++/* decCheckNumber -- check a number */ ++/* dn is the number to check */ ++/* returns 0 if the number is clean, or 1 otherwise */ ++/* */ ++/* The number is considered valid if it could be a result from some */ ++/* operation in some valid context. */ ++/* ------------------------------------------------------------------ */ ++static Flag decCheckNumber(const decNumber *dn) { ++ const Unit *up; // work ++ uInt maxuint; // .. ++ Int ae, d, digits; // .. ++ Int emin, emax; // .. ++ ++ if (dn==NULL) { // hopeless ++ #if DECTRACE ++ // this one not DECVERB as standard tests include NULL ++ printf("Reference to decNumber is NULL.\n"); ++ #endif ++ return 1;} ++ ++ // check special values ++ if (dn->bits & DECSPECIAL) { ++ if (dn->exponent!=0) { ++ #if DECTRACE || DECVERB ++ printf("Exponent %ld (not 0) for a special value [%02x].\n", ++ (LI)dn->exponent, dn->bits); ++ #endif ++ return 1;} ++ ++ // 2003.09.08: NaNs may now have coefficients, so next tests Inf only ++ if (decNumberIsInfinite(dn)) { ++ if (dn->digits!=1) { ++ #if DECTRACE || DECVERB ++ printf("Digits %ld (not 1) for an infinity.\n", (LI)dn->digits); ++ #endif ++ return 1;} ++ if (*dn->lsu!=0) { ++ #if DECTRACE || DECVERB ++ printf("LSU %ld (not 0) for an infinity.\n", (LI)*dn->lsu); ++ #endif ++ decDumpAr('I', dn->lsu, D2U(dn->digits)); ++ return 1;} ++ } // Inf ++ // 2002.12.26: negative NaNs can now appear through proposed IEEE ++ // concrete formats (decimal64, etc.). ++ return 0; ++ } ++ ++ // check the coefficient ++ if (dn->digits<1 || dn->digits>DECNUMMAXP) { ++ #if DECTRACE || DECVERB ++ printf("Digits %ld in number.\n", (LI)dn->digits); ++ #endif ++ return 1;} ++ ++ d=dn->digits; ++ ++ for (up=dn->lsu; d>0; up++) { ++ if (d>DECDPUN) maxuint=DECDPUNMAX; ++ else { // reached the msu ++ maxuint=powers[d]-1; ++ if (dn->digits>1 && *upmaxuint) { ++ #if DECTRACE || DECVERB ++ printf("Bad Unit [%08lx] in %ld-digit number at offset %ld [maxuint %ld].\n", ++ (LI)*up, (LI)dn->digits, (LI)(up-dn->lsu), (LI)maxuint); ++ #endif ++ return 1;} ++ d-=DECDPUN; ++ } ++ ++ // check the exponent. Note that input operands can have exponents ++ // which are out of the set->emin/set->emax and set->digits range ++ // (just as they can have more digits than set->digits). ++ ae=dn->exponent+dn->digits-1; // adjusted exponent ++ emax=DECNUMMAXE; ++ emin=DECNUMMINE; ++ digits=DECNUMMAXP; ++ if (ae+emax) { ++ #if DECTRACE || DECVERB ++ printf("Adjusted exponent overflow [%ld].\n", (LI)ae); ++ decNumberShow(dn); ++ #endif ++ return 1;} ++ ++ return 0; // it's OK ++ } // decCheckNumber ++ ++/* ------------------------------------------------------------------ */ ++/* decCheckInexact -- check a normal finite inexact result has digits */ ++/* dn is the number to check */ ++/* set is the context (for status and precision) */ ++/* sets Invalid operation, etc., if some digits are missing */ ++/* [this check is not made for DECSUBSET compilation or when */ ++/* subnormal is not set] */ ++/* ------------------------------------------------------------------ */ ++static void decCheckInexact(const decNumber *dn, decContext *set) { ++ #if !DECSUBSET && DECEXTFLAG ++ if ((set->status & (DEC_Inexact|DEC_Subnormal))==DEC_Inexact ++ && (set->digits!=dn->digits) && !(dn->bits & DECSPECIAL)) { ++ #if DECTRACE || DECVERB ++ printf("Insufficient digits [%ld] on normal Inexact result.\n", ++ (LI)dn->digits); ++ decNumberShow(dn); ++ #endif ++ decContextSetStatus(set, DEC_Invalid_operation); ++ } ++ #else ++ // next is a noop for quiet compiler ++ if (dn!=NULL && dn->digits==0) set->status|=DEC_Invalid_operation; ++ #endif ++ return; ++ } // decCheckInexact ++#endif ++ ++#if DECALLOC ++#undef malloc ++#undef free ++/* ------------------------------------------------------------------ */ ++/* decMalloc -- accountable allocation routine */ ++/* n is the number of bytes to allocate */ ++/* */ ++/* Semantics is the same as the stdlib malloc routine, but bytes */ ++/* allocated are accounted for globally, and corruption fences are */ ++/* added before and after the 'actual' storage. */ ++/* ------------------------------------------------------------------ */ ++/* This routine allocates storage with an extra twelve bytes; 8 are */ ++/* at the start and hold: */ ++/* 0-3 the original length requested */ ++/* 4-7 buffer corruption detection fence (DECFENCE, x4) */ ++/* The 4 bytes at the end also hold a corruption fence (DECFENCE, x4) */ ++/* ------------------------------------------------------------------ */ ++static void *decMalloc(size_t n) { ++ uInt size=n+12; // true size ++ void *alloc; // -> allocated storage ++ uByte *b, *b0; // work ++ uInt uiwork; // for macros ++ ++ alloc=malloc(size); // -> allocated storage ++ if (alloc==NULL) return NULL; // out of strorage ++ b0=(uByte *)alloc; // as bytes ++ decAllocBytes+=n; // account for storage ++ UBFROMUI(alloc, n); // save n ++ // printf(" alloc ++ dAB: %ld (%ld)\n", (LI)decAllocBytes, (LI)n); ++ for (b=b0+4; b play area ++ } // decMalloc ++ ++/* ------------------------------------------------------------------ */ ++/* decFree -- accountable free routine */ ++/* alloc is the storage to free */ ++/* */ ++/* Semantics is the same as the stdlib malloc routine, except that */ ++/* the global storage accounting is updated and the fences are */ ++/* checked to ensure that no routine has written 'out of bounds'. */ ++/* ------------------------------------------------------------------ */ ++/* This routine first checks that the fences have not been corrupted. */ ++/* It then frees the storage using the 'truw' storage address (that */ ++/* is, offset by 8). */ ++/* ------------------------------------------------------------------ */ ++static void decFree(void *alloc) { ++ uInt n; // original length ++ uByte *b, *b0; // work ++ uInt uiwork; // for macros ++ ++ if (alloc==NULL) return; // allowed; it's a nop ++ b0=(uByte *)alloc; // as bytes ++ b0-=8; // -> true start of storage ++ n=UBTOUI(b0); // lift length ++ for (b=b0+4; b0 */ ++ /* and <10; 3 or powers of 2 are best]. */ ++ ++ /* DECNUMDIGITS is the default number of digits that can be held in */ ++ /* the structure. If undefined, 1 is assumed and it is assumed */ ++ /* that the structure will be immediately followed by extra space, */ ++ /* as required. DECNUMDIGITS is always >0. */ ++ #if !defined(DECNUMDIGITS) ++ #define DECNUMDIGITS 1 ++ #endif ++ ++ /* The size (integer data type) of each unit is determined by the */ ++ /* number of digits it will hold. */ ++ #if DECDPUN<=2 ++ #define decNumberUnit uint8_t ++ #elif DECDPUN<=4 ++ #define decNumberUnit uint16_t ++ #else ++ #define decNumberUnit uint32_t ++ #endif ++ /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */ ++ #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN) ++ ++ /* The data structure... */ ++ typedef struct { ++ int32_t digits; /* Count of digits in the coefficient; >0 */ ++ int32_t exponent; /* Unadjusted exponent, unbiased, in */ ++ /* range: -1999999997 through 999999999 */ ++ uint8_t bits; /* Indicator bits (see above) */ ++ /* Coefficient, from least significant unit */ ++ decNumberUnit lsu[DECNUMUNITS]; ++ } decNumber; ++ ++ /* Notes: */ ++ /* 1. If digits is > DECDPUN then there will one or more */ ++ /* decNumberUnits immediately following the first element of lsu.*/ ++ /* These contain the remaining (more significant) digits of the */ ++ /* number, and may be in the lsu array, or may be guaranteed by */ ++ /* some other mechanism (such as being contained in another */ ++ /* structure, or being overlaid on dynamically allocated */ ++ /* storage). */ ++ /* */ ++ /* Each integer of the coefficient (except potentially the last) */ ++ /* contains DECDPUN digits (e.g., a value in the range 0 through */ ++ /* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */ ++ /* */ ++ /* 2. A decNumber converted to a string may need up to digits+14 */ ++ /* characters. The worst cases (non-exponential and exponential */ ++ /* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */ ++ /* (where # is '\0') */ ++ ++ ++ /* ---------------------------------------------------------------- */ ++ /* decNumber public functions and macros */ ++ /* ---------------------------------------------------------------- */ ++ /* Conversions */ ++ decNumber * decNumberFromInt32(decNumber *, int32_t); ++ decNumber * decNumberFromUInt32(decNumber *, uint32_t); ++ decNumber * decNumberFromString(decNumber *, const char *, decContext *); ++ char * decNumberToString(const decNumber *, char *); ++ char * decNumberToEngString(const decNumber *, char *); ++ uint32_t decNumberToUInt32(const decNumber *, decContext *); ++ int32_t decNumberToInt32(const decNumber *, decContext *); ++ uint8_t * decNumberGetBCD(const decNumber *, uint8_t *); ++ decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t); ++ ++ /* Operators and elementary functions */ ++ decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberExp(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberLn(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *); ++ decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *); ++ ++ /* Utilities */ ++ enum decClass decNumberClass(const decNumber *, decContext *); ++ const char * decNumberClassToString(enum decClass); ++ decNumber * decNumberCopy(decNumber *, const decNumber *); ++ decNumber * decNumberCopyAbs(decNumber *, const decNumber *); ++ decNumber * decNumberCopyNegate(decNumber *, const decNumber *); ++ decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *); ++ decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *); ++ decNumber * decNumberTrim(decNumber *); ++ const char * decNumberVersion(void); ++ decNumber * decNumberZero(decNumber *); ++ ++ /* Functions for testing decNumbers (normality depends on context) */ ++ int32_t decNumberIsNormal(const decNumber *, decContext *); ++ int32_t decNumberIsSubnormal(const decNumber *, decContext *); ++ ++ /* Macros for testing decNumber *dn */ ++ #define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */ ++ #define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0) ++ #define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0) ++ #define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0) ++ #define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0) ++ #define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0) ++ #define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0) ++ #define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0) ++ #define decNumberIsZero(dn) (*(dn)->lsu==0 \ ++ && (dn)->digits==1 \ ++ && (((dn)->bits&DECSPECIAL)==0)) ++ #define decNumberRadix(dn) (10) ++ ++#endif +diff -Naur a/src/decNumber/decNumberLocal.h b/src/decNumber/decNumberLocal.h +--- a/src/decNumber/decNumberLocal.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decNumberLocal.h 2021-09-29 10:19:45.803827654 -0700 +@@ -0,0 +1,757 @@ ++/* ------------------------------------------------------------------ */ ++/* decNumber package local type, tuning, and macro definitions */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This header file is included by all modules in the decNumber */ ++/* library, and contains local type definitions, tuning parameters, */ ++/* etc. It should not need to be used by application programs. */ ++/* decNumber.h or one of decDouble (etc.) must be included first. */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECNUMBERLOC) ++ #define DECNUMBERLOC ++ #define DECVERSION "decNumber 3.68" /* Package Version [16 max.] */ ++ #define DECNLAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ #include /* for abs */ ++ #include /* for memset, strcpy */ ++ ++ /* Conditional code flag -- set this to match hardware platform */ ++ #if !defined(DECLITEND) ++ #define DECLITEND 1 /* 1=little-endian, 0=big-endian */ ++ #endif ++ ++ /* Conditional code flag -- set this to 1 for best performance */ ++ #if !defined(DECUSE64) ++ #define DECUSE64 1 /* 1=use int64s, 0=int32 & smaller only */ ++ #endif ++ ++ /* Conditional code flag -- set this to 0 to exclude printf calls */ ++ #if !defined(DECPRINT) ++ #define DECPRINT 1 /* 1=allow printf calls; 0=no printf */ ++ #endif ++ ++ /* Conditional check flags -- set these to 0 for best performance */ ++ #if !defined(DECCHECK) ++ #define DECCHECK 0 /* 1 to enable robust checking */ ++ #endif ++ #if !defined(DECALLOC) ++ #define DECALLOC 0 /* 1 to enable memory accounting */ ++ #endif ++ #if !defined(DECTRACE) ++ #define DECTRACE 0 /* 1 to trace certain internals, etc. */ ++ #endif ++ ++ /* Tuning parameter for decNumber (arbitrary precision) module */ ++ #if !defined(DECBUFFER) ++ #define DECBUFFER 36 /* Size basis for local buffers. This */ ++ /* should be a common maximum precision */ ++ /* rounded up to a multiple of 4; must */ ++ /* be zero or positive. */ ++ #endif ++ ++ ++ /* ---------------------------------------------------------------- */ ++ /* Check parameter dependencies */ ++ /* ---------------------------------------------------------------- */ ++ #if DECCHECK & !DECPRINT ++ #error DECCHECK needs DECPRINT to be useful ++ #endif ++ #if DECALLOC & !DECPRINT ++ #error DECALLOC needs DECPRINT to be useful ++ #endif ++ #if DECTRACE & !DECPRINT ++ #error DECTRACE needs DECPRINT to be useful ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* Definitions for all modules (general-purpose) */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* Local names for common types -- for safety, decNumber modules do */ ++ /* not use int or long directly. */ ++ #define Flag uint8_t ++ #define Byte int8_t ++ #define uByte uint8_t ++ #define Short int16_t ++ #define uShort uint16_t ++ #define Int int32_t ++ #define uInt uint32_t ++ #define Unit decNumberUnit ++ #if DECUSE64 ++ #define Long int64_t ++ #define uLong uint64_t ++ #endif ++ ++ /* Development-use definitions */ ++ typedef long int LI; /* for printf arguments only */ ++ #define DECNOINT 0 /* 1 to check no internal use of 'int' */ ++ /* or stdint types */ ++ #if DECNOINT ++ /* if these interfere with your C includes, do not set DECNOINT */ ++ #define int ? /* enable to ensure that plain C 'int' */ ++ #define long ?? /* .. or 'long' types are not used */ ++ #endif ++ ++ /* Shared lookup tables */ ++ extern const uByte DECSTICKYTAB[10]; /* re-round digits if sticky */ ++ extern const uInt DECPOWERS[10]; /* powers of ten table */ ++ /* The following are included from decDPD.h */ ++ extern const uShort DPD2BIN[1024]; /* DPD -> 0-999 */ ++ extern const uShort BIN2DPD[1000]; /* 0-999 -> DPD */ ++ extern const uInt DPD2BINK[1024]; /* DPD -> 0-999000 */ ++ extern const uInt DPD2BINM[1024]; /* DPD -> 0-999000000 */ ++ extern const uByte DPD2BCD8[4096]; /* DPD -> ddd + len */ ++ extern const uByte BIN2BCD8[4000]; /* 0-999 -> ddd + len */ ++ extern const uShort BCD2DPD[2458]; /* 0-0x999 -> DPD (0x999=2457)*/ ++ ++ /* LONGMUL32HI -- set w=(u*v)>>32, where w, u, and v are uInts */ ++ /* (that is, sets w to be the high-order word of the 64-bit result; */ ++ /* the low-order word is simply u*v.) */ ++ /* This version is derived from Knuth via Hacker's Delight; */ ++ /* it seems to optimize better than some others tried */ ++ #define LONGMUL32HI(w, u, v) { \ ++ uInt u0, u1, v0, v1, w0, w1, w2, t; \ ++ u0=u & 0xffff; u1=u>>16; \ ++ v0=v & 0xffff; v1=v>>16; \ ++ w0=u0*v0; \ ++ t=u1*v0 + (w0>>16); \ ++ w1=t & 0xffff; w2=t>>16; \ ++ w1=u0*v1 + w1; \ ++ (w)=u1*v1 + w2 + (w1>>16);} ++ ++ /* ROUNDUP -- round an integer up to a multiple of n */ ++ #define ROUNDUP(i, n) ((((i)+(n)-1)/n)*n) ++ #define ROUNDUP4(i) (((i)+3)&~3) /* special for n=4 */ ++ ++ /* ROUNDDOWN -- round an integer down to a multiple of n */ ++ #define ROUNDDOWN(i, n) (((i)/n)*n) ++ #define ROUNDDOWN4(i) ((i)&~3) /* special for n=4 */ ++ ++ /* References to multi-byte sequences under different sizes; these */ ++ /* require locally declared variables, but do not violate strict */ ++ /* aliasing or alignment (as did the UINTAT simple cast to uInt). */ ++ /* Variables needed are uswork, uiwork, etc. [so do not use at same */ ++ /* level in an expression, e.g., UBTOUI(x)==UBTOUI(y) may fail]. */ ++ ++ /* Return a uInt, etc., from bytes starting at a char* or uByte* */ ++ #define UBTOUS(b) (memcpy((void *)&uswork, b, 2), uswork) ++ #define UBTOUI(b) (memcpy((void *)&uiwork, b, 4), uiwork) ++ ++ /* Store a uInt, etc., into bytes starting at a char* or uByte*. */ ++ /* Returns i, evaluated, for convenience; has to use uiwork because */ ++ /* i may be an expression. */ ++ #define UBFROMUS(b, i) (uswork=(i), memcpy(b, (void *)&uswork, 2), uswork) ++ #define UBFROMUI(b, i) (uiwork=(i), memcpy(b, (void *)&uiwork, 4), uiwork) ++ ++ /* X10 and X100 -- multiply integer i by 10 or 100 */ ++ /* [shifts are usually faster than multiply; could be conditional] */ ++ #define X10(i) (((i)<<1)+((i)<<3)) ++ #define X100(i) (((i)<<2)+((i)<<5)+((i)<<6)) ++ ++ /* MAXI and MINI -- general max & min (not in ANSI) for integers */ ++ #define MAXI(x,y) ((x)<(y)?(y):(x)) ++ #define MINI(x,y) ((x)>(y)?(y):(x)) ++ ++ /* Useful constants */ ++ #define BILLION 1000000000 /* 10**9 */ ++ /* CHARMASK: 0x30303030 for ASCII/UTF8; 0xF0F0F0F0 for EBCDIC */ ++ #define CHARMASK ((((((((uInt)'0')<<8)+'0')<<8)+'0')<<8)+'0') ++ ++ ++ /* ---------------------------------------------------------------- */ ++ /* Definitions for arbitary-precision modules (only valid after */ ++ /* decNumber.h has been included) */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* Limits and constants */ ++ #define DECNUMMAXP 999999999 /* maximum precision code can handle */ ++ #define DECNUMMAXE 999999999 /* maximum adjusted exponent ditto */ ++ #define DECNUMMINE -999999999 /* minimum adjusted exponent ditto */ ++ #if (DECNUMMAXP != DEC_MAX_DIGITS) ++ #error Maximum digits mismatch ++ #endif ++ #if (DECNUMMAXE != DEC_MAX_EMAX) ++ #error Maximum exponent mismatch ++ #endif ++ #if (DECNUMMINE != DEC_MIN_EMIN) ++ #error Minimum exponent mismatch ++ #endif ++ ++ /* Set DECDPUNMAX -- the maximum integer that fits in DECDPUN */ ++ /* digits, and D2UTABLE -- the initializer for the D2U table */ ++ #if DECDPUN==1 ++ #define DECDPUNMAX 9 ++ #define D2UTABLE {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17, \ ++ 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32, \ ++ 33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, \ ++ 48,49} ++ #elif DECDPUN==2 ++ #define DECDPUNMAX 99 ++ #define D2UTABLE {0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10, \ ++ 11,11,12,12,13,13,14,14,15,15,16,16,17,17,18, \ ++ 18,19,19,20,20,21,21,22,22,23,23,24,24,25} ++ #elif DECDPUN==3 ++ #define DECDPUNMAX 999 ++ #define D2UTABLE {0,1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7, \ ++ 8,8,8,9,9,9,10,10,10,11,11,11,12,12,12,13,13, \ ++ 13,14,14,14,15,15,15,16,16,16,17} ++ #elif DECDPUN==4 ++ #define DECDPUNMAX 9999 ++ #define D2UTABLE {0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5,5,6, \ ++ 6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10,11, \ ++ 11,11,11,12,12,12,12,13} ++ #elif DECDPUN==5 ++ #define DECDPUNMAX 99999 ++ #define D2UTABLE {0,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,5, \ ++ 5,5,5,5,6,6,6,6,6,7,7,7,7,7,8,8,8,8,8,9,9,9, \ ++ 9,9,10,10,10,10} ++ #elif DECDPUN==6 ++ #define DECDPUNMAX 999999 ++ #define D2UTABLE {0,1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4, \ ++ 4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,8, \ ++ 8,8,8,8,8,9} ++ #elif DECDPUN==7 ++ #define DECDPUNMAX 9999999 ++ #define D2UTABLE {0,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3, \ ++ 4,4,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,7, \ ++ 7,7,7,7,7,7} ++ #elif DECDPUN==8 ++ #define DECDPUNMAX 99999999 ++ #define D2UTABLE {0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3, \ ++ 3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6, \ ++ 6,6,6,6,6,7} ++ #elif DECDPUN==9 ++ #define DECDPUNMAX 999999999 ++ #define D2UTABLE {0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,3,3,3, \ ++ 3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5, \ ++ 5,5,6,6,6,6} ++ #elif defined(DECDPUN) ++ #error DECDPUN must be in the range 1-9 ++ #endif ++ ++ /* ----- Shared data (in decNumber.c) ----- */ ++ /* Public lookup table used by the D2U macro (see below) */ ++ #define DECMAXD2U 49 ++ extern const uByte d2utable[DECMAXD2U+1]; ++ ++ /* ----- Macros ----- */ ++ /* ISZERO -- return true if decNumber dn is a zero */ ++ /* [performance-critical in some situations] */ ++ #define ISZERO(dn) decNumberIsZero(dn) /* now just a local name */ ++ ++ /* D2U -- return the number of Units needed to hold d digits */ ++ /* (runtime version, with table lookaside for small d) */ ++ #if DECDPUN==8 ++ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+7)>>3)) ++ #elif DECDPUN==4 ++ #define D2U(d) ((unsigned)((d)<=DECMAXD2U?d2utable[d]:((d)+3)>>2)) ++ #else ++ #define D2U(d) ((d)<=DECMAXD2U?d2utable[d]:((d)+DECDPUN-1)/DECDPUN) ++ #endif ++ /* SD2U -- static D2U macro (for compile-time calculation) */ ++ #define SD2U(d) (((d)+DECDPUN-1)/DECDPUN) ++ ++ /* MSUDIGITS -- returns digits in msu, from digits, calculated */ ++ /* using D2U */ ++ #define MSUDIGITS(d) ((d)-(D2U(d)-1)*DECDPUN) ++ ++ /* D2N -- return the number of decNumber structs that would be */ ++ /* needed to contain that number of digits (and the initial */ ++ /* decNumber struct) safely. Note that one Unit is included in the */ ++ /* initial structure. Used for allocating space that is aligned on */ ++ /* a decNumber struct boundary. */ ++ #define D2N(d) \ ++ ((((SD2U(d)-1)*sizeof(Unit))+sizeof(decNumber)*2-1)/sizeof(decNumber)) ++ ++ /* TODIGIT -- macro to remove the leading digit from the unsigned */ ++ /* integer u at column cut (counting from the right, LSD=0) and */ ++ /* place it as an ASCII character into the character pointed to by */ ++ /* c. Note that cut must be <= 9, and the maximum value for u is */ ++ /* 2,000,000,000 (as is needed for negative exponents of */ ++ /* subnormals). The unsigned integer pow is used as a temporary */ ++ /* variable. */ ++ #define TODIGIT(u, cut, c, pow) { \ ++ *(c)='0'; \ ++ pow=DECPOWERS[cut]*2; \ ++ if ((u)>pow) { \ ++ pow*=4; \ ++ if ((u)>=pow) {(u)-=pow; *(c)+=8;} \ ++ pow/=2; \ ++ if ((u)>=pow) {(u)-=pow; *(c)+=4;} \ ++ pow/=2; \ ++ } \ ++ if ((u)>=pow) {(u)-=pow; *(c)+=2;} \ ++ pow/=2; \ ++ if ((u)>=pow) {(u)-=pow; *(c)+=1;} \ ++ } ++ ++ /* ---------------------------------------------------------------- */ ++ /* Definitions for fixed-precision modules (only valid after */ ++ /* decSingle.h, decDouble.h, or decQuad.h has been included) */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* bcdnum -- a structure describing a format-independent finite */ ++ /* number, whose coefficient is a string of bcd8 uBytes */ ++ typedef struct { ++ uByte *msd; /* -> most significant digit */ ++ uByte *lsd; /* -> least ditto */ ++ uInt sign; /* 0=positive, DECFLOAT_Sign=negative */ ++ Int exponent; /* Unadjusted signed exponent (q), or */ ++ /* DECFLOAT_NaN etc. for a special */ ++ } bcdnum; ++ ++ /* Test if exponent or bcdnum exponent must be a special, etc. */ ++ #define EXPISSPECIAL(exp) ((exp)>=DECFLOAT_MinSp) ++ #define EXPISINF(exp) (exp==DECFLOAT_Inf) ++ #define EXPISNAN(exp) (exp==DECFLOAT_qNaN || exp==DECFLOAT_sNaN) ++ #define NUMISSPECIAL(num) (EXPISSPECIAL((num)->exponent)) ++ ++ /* Refer to a 32-bit word or byte in a decFloat (df) by big-endian */ ++ /* (array) notation (the 0 word or byte contains the sign bit), */ ++ /* automatically adjusting for endianness; similarly address a word */ ++ /* in the next-wider format (decFloatWider, or dfw) */ ++ #define DECWORDS (DECBYTES/4) ++ #define DECWWORDS (DECWBYTES/4) ++ #if DECLITEND ++ #define DFBYTE(df, off) ((df)->bytes[DECBYTES-1-(off)]) ++ #define DFWORD(df, off) ((df)->words[DECWORDS-1-(off)]) ++ #define DFWWORD(dfw, off) ((dfw)->words[DECWWORDS-1-(off)]) ++ #else ++ #define DFBYTE(df, off) ((df)->bytes[off]) ++ #define DFWORD(df, off) ((df)->words[off]) ++ #define DFWWORD(dfw, off) ((dfw)->words[off]) ++ #endif ++ ++ /* Tests for sign or specials, directly on DECFLOATs */ ++ #define DFISSIGNED(df) ((DFWORD(df, 0)&0x80000000)!=0) ++ #define DFISSPECIAL(df) ((DFWORD(df, 0)&0x78000000)==0x78000000) ++ #define DFISINF(df) ((DFWORD(df, 0)&0x7c000000)==0x78000000) ++ #define DFISNAN(df) ((DFWORD(df, 0)&0x7c000000)==0x7c000000) ++ #define DFISQNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7c000000) ++ #define DFISSNAN(df) ((DFWORD(df, 0)&0x7e000000)==0x7e000000) ++ ++ /* Shared lookup tables */ ++ extern const uInt DECCOMBMSD[64]; /* Combination field -> MSD */ ++ extern const uInt DECCOMBFROM[48]; /* exp+msd -> Combination */ ++ ++ /* Private generic (utility) routine */ ++ #if DECCHECK || DECTRACE ++ extern void decShowNum(const bcdnum *, const char *); ++ #endif ++ ++ /* Format-dependent macros and constants */ ++ #if defined(DECPMAX) ++ ++ /* Useful constants */ ++ #define DECPMAX9 (ROUNDUP(DECPMAX, 9)/9) /* 'Pmax' in 10**9s */ ++ /* Top words for a zero */ ++ #define SINGLEZERO 0x22500000 ++ #define DOUBLEZERO 0x22380000 ++ #define QUADZERO 0x22080000 ++ /* [ZEROWORD is defined to be one of these in the DFISZERO macro] */ ++ ++ /* Format-dependent common tests: */ ++ /* DFISZERO -- test for (any) zero */ ++ /* DFISCCZERO -- test for coefficient continuation being zero */ ++ /* DFISCC01 -- test for coefficient contains only 0s and 1s */ ++ /* DFISINT -- test for finite and exponent q=0 */ ++ /* DFISUINT01 -- test for sign=0, finite, exponent q=0, and */ ++ /* MSD=0 or 1 */ ++ /* ZEROWORD is also defined here. */ ++ /* */ ++ /* In DFISZERO the first test checks the least-significant word */ ++ /* (most likely to be non-zero); the penultimate tests MSD and */ ++ /* DPDs in the signword, and the final test excludes specials and */ ++ /* MSD>7. DFISINT similarly has to allow for the two forms of */ ++ /* MSD codes. DFISUINT01 only has to allow for one form of MSD */ ++ /* code. */ ++ #if DECPMAX==7 ++ #define ZEROWORD SINGLEZERO ++ /* [test macros not needed except for Zero] */ ++ #define DFISZERO(df) ((DFWORD(df, 0)&0x1c0fffff)==0 \ ++ && (DFWORD(df, 0)&0x60000000)!=0x60000000) ++ #elif DECPMAX==16 ++ #define ZEROWORD DOUBLEZERO ++ #define DFISZERO(df) ((DFWORD(df, 1)==0 \ ++ && (DFWORD(df, 0)&0x1c03ffff)==0 \ ++ && (DFWORD(df, 0)&0x60000000)!=0x60000000)) ++ #define DFISINT(df) ((DFWORD(df, 0)&0x63fc0000)==0x22380000 \ ++ ||(DFWORD(df, 0)&0x7bfc0000)==0x6a380000) ++ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbfc0000)==0x22380000) ++ #define DFISCCZERO(df) (DFWORD(df, 1)==0 \ ++ && (DFWORD(df, 0)&0x0003ffff)==0) ++ #define DFISCC01(df) ((DFWORD(df, 0)&~0xfffc9124)==0 \ ++ && (DFWORD(df, 1)&~0x49124491)==0) ++ #elif DECPMAX==34 ++ #define ZEROWORD QUADZERO ++ #define DFISZERO(df) ((DFWORD(df, 3)==0 \ ++ && DFWORD(df, 2)==0 \ ++ && DFWORD(df, 1)==0 \ ++ && (DFWORD(df, 0)&0x1c003fff)==0 \ ++ && (DFWORD(df, 0)&0x60000000)!=0x60000000)) ++ #define DFISINT(df) ((DFWORD(df, 0)&0x63ffc000)==0x22080000 \ ++ ||(DFWORD(df, 0)&0x7bffc000)==0x6a080000) ++ #define DFISUINT01(df) ((DFWORD(df, 0)&0xfbffc000)==0x22080000) ++ #define DFISCCZERO(df) (DFWORD(df, 3)==0 \ ++ && DFWORD(df, 2)==0 \ ++ && DFWORD(df, 1)==0 \ ++ && (DFWORD(df, 0)&0x00003fff)==0) ++ ++ #define DFISCC01(df) ((DFWORD(df, 0)&~0xffffc912)==0 \ ++ && (DFWORD(df, 1)&~0x44912449)==0 \ ++ && (DFWORD(df, 2)&~0x12449124)==0 \ ++ && (DFWORD(df, 3)&~0x49124491)==0) ++ #endif ++ ++ /* Macros to test if a certain 10 bits of a uInt or pair of uInts */ ++ /* are a canonical declet [higher or lower bits are ignored]. */ ++ /* declet is at offset 0 (from the right) in a uInt: */ ++ #define CANONDPD(dpd) (((dpd)&0x300)==0 || ((dpd)&0x6e)!=0x6e) ++ /* declet is at offset k (a multiple of 2) in a uInt: */ ++ #define CANONDPDOFF(dpd, k) (((dpd)&(0x300<<(k)))==0 \ ++ || ((dpd)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k))) ++ /* declet is at offset k (a multiple of 2) in a pair of uInts: */ ++ /* [the top 2 bits will always be in the more-significant uInt] */ ++ #define CANONDPDTWO(hi, lo, k) (((hi)&(0x300>>(32-(k))))==0 \ ++ || ((hi)&(0x6e>>(32-(k))))!=(0x6e>>(32-(k))) \ ++ || ((lo)&(((uInt)0x6e)<<(k)))!=(((uInt)0x6e)<<(k))) ++ ++ /* Macro to test whether a full-length (length DECPMAX) BCD8 */ ++ /* coefficient, starting at uByte u, is all zeros */ ++ /* Test just the LSWord first, then the remainder as a sequence */ ++ /* of tests in order to avoid same-level use of UBTOUI */ ++ #if DECPMAX==7 ++ #define ISCOEFFZERO(u) ( \ ++ UBTOUI((u)+DECPMAX-4)==0 \ ++ && UBTOUS((u)+DECPMAX-6)==0 \ ++ && *(u)==0) ++ #elif DECPMAX==16 ++ #define ISCOEFFZERO(u) ( \ ++ UBTOUI((u)+DECPMAX-4)==0 \ ++ && UBTOUI((u)+DECPMAX-8)==0 \ ++ && UBTOUI((u)+DECPMAX-12)==0 \ ++ && UBTOUI(u)==0) ++ #elif DECPMAX==34 ++ #define ISCOEFFZERO(u) ( \ ++ UBTOUI((u)+DECPMAX-4)==0 \ ++ && UBTOUI((u)+DECPMAX-8)==0 \ ++ && UBTOUI((u)+DECPMAX-12)==0 \ ++ && UBTOUI((u)+DECPMAX-16)==0 \ ++ && UBTOUI((u)+DECPMAX-20)==0 \ ++ && UBTOUI((u)+DECPMAX-24)==0 \ ++ && UBTOUI((u)+DECPMAX-28)==0 \ ++ && UBTOUI((u)+DECPMAX-32)==0 \ ++ && UBTOUS(u)==0) ++ #endif ++ ++ /* Macros and masks for the sign, exponent continuation, and MSD */ ++ /* Get the sign as DECFLOAT_Sign or 0 */ ++ #define GETSIGN(df) (DFWORD(df, 0)&0x80000000) ++ /* Get the exponent continuation from a decFloat *df as an Int */ ++ #define GETECON(df) ((Int)((DFWORD((df), 0)&0x03ffffff)>>(32-6-DECECONL))) ++ /* Ditto, from the next-wider format */ ++ #define GETWECON(df) ((Int)((DFWWORD((df), 0)&0x03ffffff)>>(32-6-DECWECONL))) ++ /* Get the biased exponent similarly */ ++ #define GETEXP(df) ((Int)(DECCOMBEXP[DFWORD((df), 0)>>26]+GETECON(df))) ++ /* Get the unbiased exponent similarly */ ++ #define GETEXPUN(df) ((Int)GETEXP(df)-DECBIAS) ++ /* Get the MSD similarly (as uInt) */ ++ #define GETMSD(df) (DECCOMBMSD[DFWORD((df), 0)>>26]) ++ ++ /* Compile-time computes of the exponent continuation field masks */ ++ /* full exponent continuation field: */ ++ #define ECONMASK ((0x03ffffff>>(32-6-DECECONL))<<(32-6-DECECONL)) ++ /* same, not including its first digit (the qNaN/sNaN selector): */ ++ #define ECONNANMASK ((0x01ffffff>>(32-6-DECECONL))<<(32-6-DECECONL)) ++ ++ /* Macros to decode the coefficient in a finite decFloat *df into */ ++ /* a BCD string (uByte *bcdin) of length DECPMAX uBytes. */ ++ ++ /* In-line sequence to convert least significant 10 bits of uInt */ ++ /* dpd to three BCD8 digits starting at uByte u. Note that an */ ++ /* extra byte is written to the right of the three digits because */ ++ /* four bytes are moved at a time for speed; the alternative */ ++ /* macro moves exactly three bytes (usually slower). */ ++ #define dpd2bcd8(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 4) ++ #define dpd2bcd83(u, dpd) memcpy(u, &DPD2BCD8[((dpd)&0x3ff)*4], 3) ++ ++ /* Decode the declets. After extracting each one, it is decoded */ ++ /* to BCD8 using a table lookup (also used for variable-length */ ++ /* decode). Each DPD decode is 3 bytes BCD8 plus a one-byte */ ++ /* length which is not used, here). Fixed-length 4-byte moves */ ++ /* are fast, however, almost everywhere, and so are used except */ ++ /* for the final three bytes (to avoid overrun). The code below */ ++ /* is 36 instructions for Doubles and about 70 for Quads, even */ ++ /* on IA32. */ ++ ++ /* Two macros are defined for each format: */ ++ /* GETCOEFF extracts the coefficient of the current format */ ++ /* GETWCOEFF extracts the coefficient of the next-wider format. */ ++ /* The latter is a copy of the next-wider GETCOEFF using DFWWORD. */ ++ ++ #if DECPMAX==7 ++ #define GETCOEFF(df, bcd) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ ++ dpd2bcd8(bcd+1, sourhi>>10); \ ++ dpd2bcd83(bcd+4, sourhi);} ++ #define GETWCOEFF(df, bcd) { \ ++ uInt sourhi=DFWWORD(df, 0); \ ++ uInt sourlo=DFWWORD(df, 1); \ ++ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ ++ dpd2bcd8(bcd+1, sourhi>>8); \ ++ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \ ++ dpd2bcd8(bcd+7, sourlo>>20); \ ++ dpd2bcd8(bcd+10, sourlo>>10); \ ++ dpd2bcd83(bcd+13, sourlo);} ++ ++ #elif DECPMAX==16 ++ #define GETCOEFF(df, bcd) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ uInt sourlo=DFWORD(df, 1); \ ++ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ ++ dpd2bcd8(bcd+1, sourhi>>8); \ ++ dpd2bcd8(bcd+4, (sourhi<<2) | (sourlo>>30)); \ ++ dpd2bcd8(bcd+7, sourlo>>20); \ ++ dpd2bcd8(bcd+10, sourlo>>10); \ ++ dpd2bcd83(bcd+13, sourlo);} ++ #define GETWCOEFF(df, bcd) { \ ++ uInt sourhi=DFWWORD(df, 0); \ ++ uInt sourmh=DFWWORD(df, 1); \ ++ uInt sourml=DFWWORD(df, 2); \ ++ uInt sourlo=DFWWORD(df, 3); \ ++ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ ++ dpd2bcd8(bcd+1, sourhi>>4); \ ++ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \ ++ dpd2bcd8(bcd+7, sourmh>>16); \ ++ dpd2bcd8(bcd+10, sourmh>>6); \ ++ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \ ++ dpd2bcd8(bcd+16, sourml>>18); \ ++ dpd2bcd8(bcd+19, sourml>>8); \ ++ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \ ++ dpd2bcd8(bcd+25, sourlo>>20); \ ++ dpd2bcd8(bcd+28, sourlo>>10); \ ++ dpd2bcd83(bcd+31, sourlo);} ++ ++ #elif DECPMAX==34 ++ #define GETCOEFF(df, bcd) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ uInt sourmh=DFWORD(df, 1); \ ++ uInt sourml=DFWORD(df, 2); \ ++ uInt sourlo=DFWORD(df, 3); \ ++ *(bcd)=(uByte)DECCOMBMSD[sourhi>>26]; \ ++ dpd2bcd8(bcd+1, sourhi>>4); \ ++ dpd2bcd8(bcd+4, ((sourhi)<<6) | (sourmh>>26)); \ ++ dpd2bcd8(bcd+7, sourmh>>16); \ ++ dpd2bcd8(bcd+10, sourmh>>6); \ ++ dpd2bcd8(bcd+13, ((sourmh)<<4) | (sourml>>28)); \ ++ dpd2bcd8(bcd+16, sourml>>18); \ ++ dpd2bcd8(bcd+19, sourml>>8); \ ++ dpd2bcd8(bcd+22, ((sourml)<<2) | (sourlo>>30)); \ ++ dpd2bcd8(bcd+25, sourlo>>20); \ ++ dpd2bcd8(bcd+28, sourlo>>10); \ ++ dpd2bcd83(bcd+31, sourlo);} ++ ++ #define GETWCOEFF(df, bcd) {??} /* [should never be used] */ ++ #endif ++ ++ /* Macros to decode the coefficient in a finite decFloat *df into */ ++ /* a base-billion uInt array, with the least-significant */ ++ /* 0-999999999 'digit' at offset 0. */ ++ ++ /* Decode the declets. After extracting each one, it is decoded */ ++ /* to binary using a table lookup. Three tables are used; one */ ++ /* the usual DPD to binary, the other two pre-multiplied by 1000 */ ++ /* and 1000000 to avoid multiplication during decode. These */ ++ /* tables can also be used for multiplying up the MSD as the DPD */ ++ /* code for 0 through 9 is the identity. */ ++ #define DPD2BIN0 DPD2BIN /* for prettier code */ ++ ++ #if DECPMAX==7 ++ #define GETCOEFFBILL(df, buf) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ (buf)[0]=DPD2BIN0[sourhi&0x3ff] \ ++ +DPD2BINK[(sourhi>>10)&0x3ff] \ ++ +DPD2BINM[DECCOMBMSD[sourhi>>26]];} ++ ++ #elif DECPMAX==16 ++ #define GETCOEFFBILL(df, buf) { \ ++ uInt sourhi, sourlo; \ ++ sourlo=DFWORD(df, 1); \ ++ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \ ++ +DPD2BINK[(sourlo>>10)&0x3ff] \ ++ +DPD2BINM[(sourlo>>20)&0x3ff]; \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[1]=DPD2BIN0[((sourhi<<2) | (sourlo>>30))&0x3ff] \ ++ +DPD2BINK[(sourhi>>8)&0x3ff] \ ++ +DPD2BINM[DECCOMBMSD[sourhi>>26]];} ++ ++ #elif DECPMAX==34 ++ #define GETCOEFFBILL(df, buf) { \ ++ uInt sourhi, sourmh, sourml, sourlo; \ ++ sourlo=DFWORD(df, 3); \ ++ (buf)[0]=DPD2BIN0[sourlo&0x3ff] \ ++ +DPD2BINK[(sourlo>>10)&0x3ff] \ ++ +DPD2BINM[(sourlo>>20)&0x3ff]; \ ++ sourml=DFWORD(df, 2); \ ++ (buf)[1]=DPD2BIN0[((sourml<<2) | (sourlo>>30))&0x3ff] \ ++ +DPD2BINK[(sourml>>8)&0x3ff] \ ++ +DPD2BINM[(sourml>>18)&0x3ff]; \ ++ sourmh=DFWORD(df, 1); \ ++ (buf)[2]=DPD2BIN0[((sourmh<<4) | (sourml>>28))&0x3ff] \ ++ +DPD2BINK[(sourmh>>6)&0x3ff] \ ++ +DPD2BINM[(sourmh>>16)&0x3ff]; \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[3]=DPD2BIN0[((sourhi<<6) | (sourmh>>26))&0x3ff] \ ++ +DPD2BINK[(sourhi>>4)&0x3ff] \ ++ +DPD2BINM[DECCOMBMSD[sourhi>>26]];} ++ ++ #endif ++ ++ /* Macros to decode the coefficient in a finite decFloat *df into */ ++ /* a base-thousand uInt array (of size DECLETS+1, to allow for */ ++ /* the MSD), with the least-significant 0-999 'digit' at offset 0.*/ ++ ++ /* Decode the declets. After extracting each one, it is decoded */ ++ /* to binary using a table lookup. */ ++ #if DECPMAX==7 ++ #define GETCOEFFTHOU(df, buf) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ (buf)[0]=DPD2BIN[sourhi&0x3ff]; \ ++ (buf)[1]=DPD2BIN[(sourhi>>10)&0x3ff]; \ ++ (buf)[2]=DECCOMBMSD[sourhi>>26];} ++ ++ #elif DECPMAX==16 ++ #define GETCOEFFTHOU(df, buf) { \ ++ uInt sourhi, sourlo; \ ++ sourlo=DFWORD(df, 1); \ ++ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \ ++ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \ ++ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[3]=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \ ++ (buf)[4]=DPD2BIN[(sourhi>>8)&0x3ff]; \ ++ (buf)[5]=DECCOMBMSD[sourhi>>26];} ++ ++ #elif DECPMAX==34 ++ #define GETCOEFFTHOU(df, buf) { \ ++ uInt sourhi, sourmh, sourml, sourlo; \ ++ sourlo=DFWORD(df, 3); \ ++ (buf)[0]=DPD2BIN[sourlo&0x3ff]; \ ++ (buf)[1]=DPD2BIN[(sourlo>>10)&0x3ff]; \ ++ (buf)[2]=DPD2BIN[(sourlo>>20)&0x3ff]; \ ++ sourml=DFWORD(df, 2); \ ++ (buf)[3]=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \ ++ (buf)[4]=DPD2BIN[(sourml>>8)&0x3ff]; \ ++ (buf)[5]=DPD2BIN[(sourml>>18)&0x3ff]; \ ++ sourmh=DFWORD(df, 1); \ ++ (buf)[6]=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \ ++ (buf)[7]=DPD2BIN[(sourmh>>6)&0x3ff]; \ ++ (buf)[8]=DPD2BIN[(sourmh>>16)&0x3ff]; \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[9]=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \ ++ (buf)[10]=DPD2BIN[(sourhi>>4)&0x3ff]; \ ++ (buf)[11]=DECCOMBMSD[sourhi>>26];} ++ #endif ++ ++ ++ /* Macros to decode the coefficient in a finite decFloat *df and */ ++ /* add to a base-thousand uInt array (as for GETCOEFFTHOU). */ ++ /* After the addition then most significant 'digit' in the array */ ++ /* might have a value larger then 10 (with a maximum of 19). */ ++ #if DECPMAX==7 ++ #define ADDCOEFFTHOU(df, buf) { \ ++ uInt sourhi=DFWORD(df, 0); \ ++ (buf)[0]+=DPD2BIN[sourhi&0x3ff]; \ ++ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ ++ (buf)[1]+=DPD2BIN[(sourhi>>10)&0x3ff]; \ ++ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ ++ (buf)[2]+=DECCOMBMSD[sourhi>>26];} ++ ++ #elif DECPMAX==16 ++ #define ADDCOEFFTHOU(df, buf) { \ ++ uInt sourhi, sourlo; \ ++ sourlo=DFWORD(df, 1); \ ++ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ ++ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ ++ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ ++ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ ++ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ ++ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[3]+=DPD2BIN[((sourhi<<2) | (sourlo>>30))&0x3ff]; \ ++ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ ++ (buf)[4]+=DPD2BIN[(sourhi>>8)&0x3ff]; \ ++ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ ++ (buf)[5]+=DECCOMBMSD[sourhi>>26];} ++ ++ #elif DECPMAX==34 ++ #define ADDCOEFFTHOU(df, buf) { \ ++ uInt sourhi, sourmh, sourml, sourlo; \ ++ sourlo=DFWORD(df, 3); \ ++ (buf)[0]+=DPD2BIN[sourlo&0x3ff]; \ ++ if (buf[0]>999) {buf[0]-=1000; buf[1]++;} \ ++ (buf)[1]+=DPD2BIN[(sourlo>>10)&0x3ff]; \ ++ if (buf[1]>999) {buf[1]-=1000; buf[2]++;} \ ++ (buf)[2]+=DPD2BIN[(sourlo>>20)&0x3ff]; \ ++ if (buf[2]>999) {buf[2]-=1000; buf[3]++;} \ ++ sourml=DFWORD(df, 2); \ ++ (buf)[3]+=DPD2BIN[((sourml<<2) | (sourlo>>30))&0x3ff]; \ ++ if (buf[3]>999) {buf[3]-=1000; buf[4]++;} \ ++ (buf)[4]+=DPD2BIN[(sourml>>8)&0x3ff]; \ ++ if (buf[4]>999) {buf[4]-=1000; buf[5]++;} \ ++ (buf)[5]+=DPD2BIN[(sourml>>18)&0x3ff]; \ ++ if (buf[5]>999) {buf[5]-=1000; buf[6]++;} \ ++ sourmh=DFWORD(df, 1); \ ++ (buf)[6]+=DPD2BIN[((sourmh<<4) | (sourml>>28))&0x3ff]; \ ++ if (buf[6]>999) {buf[6]-=1000; buf[7]++;} \ ++ (buf)[7]+=DPD2BIN[(sourmh>>6)&0x3ff]; \ ++ if (buf[7]>999) {buf[7]-=1000; buf[8]++;} \ ++ (buf)[8]+=DPD2BIN[(sourmh>>16)&0x3ff]; \ ++ if (buf[8]>999) {buf[8]-=1000; buf[9]++;} \ ++ sourhi=DFWORD(df, 0); \ ++ (buf)[9]+=DPD2BIN[((sourhi<<6) | (sourmh>>26))&0x3ff]; \ ++ if (buf[9]>999) {buf[9]-=1000; buf[10]++;} \ ++ (buf)[10]+=DPD2BIN[(sourhi>>4)&0x3ff]; \ ++ if (buf[10]>999) {buf[10]-=1000; buf[11]++;} \ ++ (buf)[11]+=DECCOMBMSD[sourhi>>26];} ++ #endif ++ ++ ++ /* Set a decFloat to the maximum positive finite number (Nmax) */ ++ #if DECPMAX==7 ++ #define DFSETNMAX(df) \ ++ {DFWORD(df, 0)=0x77f3fcff;} ++ #elif DECPMAX==16 ++ #define DFSETNMAX(df) \ ++ {DFWORD(df, 0)=0x77fcff3f; \ ++ DFWORD(df, 1)=0xcff3fcff;} ++ #elif DECPMAX==34 ++ #define DFSETNMAX(df) \ ++ {DFWORD(df, 0)=0x77ffcff3; \ ++ DFWORD(df, 1)=0xfcff3fcf; \ ++ DFWORD(df, 2)=0xf3fcff3f; \ ++ DFWORD(df, 3)=0xcff3fcff;} ++ #endif ++ ++ /* [end of format-dependent macros and constants] */ ++ #endif ++ ++#else ++ #error decNumberLocal included more than once ++#endif +diff -Naur a/src/decNumber/decPacked.c b/src/decNumber/decPacked.c +--- a/src/decNumber/decPacked.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decPacked.c 2021-09-29 10:19:45.803827654 -0700 +@@ -0,0 +1,220 @@ ++/* ------------------------------------------------------------------ */ ++/* Packed Decimal conversion module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2002. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises the routines for Packed Decimal format */ ++/* numbers. Conversions are supplied to and from decNumber, which in */ ++/* turn supports: */ ++/* conversions to and from string */ ++/* arithmetic routines */ ++/* utilities. */ ++/* Conversions from decNumber to and from densely packed decimal */ ++/* formats are provided by the decimal32 through decimal128 modules. */ ++/* ------------------------------------------------------------------ */ ++ ++#include // for NULL ++#include "decNumber.h" // base number library ++#include "decPacked.h" // packed decimal ++#include "decNumberLocal.h" // decNumber local types, etc. ++ ++/* ------------------------------------------------------------------ */ ++/* decPackedFromNumber -- convert decNumber to BCD Packed Decimal */ ++/* */ ++/* bcd is the BCD bytes */ ++/* length is the length of the BCD array */ ++/* scale is the scale result */ ++/* dn is the decNumber */ ++/* returns bcd, or NULL if error */ ++/* */ ++/* The number is converted to a BCD packed decimal byte array, */ ++/* right aligned in the bcd array, whose length is indicated by the */ ++/* second parameter. The final 4-bit nibble in the array will be a */ ++/* sign nibble, C (1100) for + and D (1101) for -. Unused bytes and */ ++/* nibbles to the left of the number are set to 0. */ ++/* */ ++/* scale is set to the scale of the number (this is the exponent, */ ++/* negated). To force the number to a specified scale, first use the */ ++/* decNumberRescale routine, which will round and change the exponent */ ++/* as necessary. */ ++/* */ ++/* If there is an error (that is, the decNumber has too many digits */ ++/* to fit in length bytes, or it is a NaN or Infinity), NULL is */ ++/* returned and the bcd and scale results are unchanged. Otherwise */ ++/* bcd is returned. */ ++/* ------------------------------------------------------------------ */ ++uByte * decPackedFromNumber(uByte *bcd, Int length, Int *scale, ++ const decNumber *dn) { ++ const Unit *up=dn->lsu; // Unit array pointer ++ uByte obyte, *out; // current output byte, and where it goes ++ Int indigs=dn->digits; // digits processed ++ uInt cut=DECDPUN; // downcounter per Unit ++ uInt u=*up; // work ++ uInt nib; // .. ++ #if DECDPUN<=4 ++ uInt temp; // .. ++ #endif ++ ++ if (dn->digits>length*2-1 // too long .. ++ ||(dn->bits & DECSPECIAL)) return NULL; // .. or special -- hopeless ++ ++ if (dn->bits&DECNEG) obyte=DECPMINUS; // set the sign .. ++ else obyte=DECPPLUS; ++ *scale=-dn->exponent; // .. and scale ++ ++ // loop from lowest (rightmost) byte ++ out=bcd+length-1; // -> final byte ++ for (; out>=bcd; out--) { ++ if (indigs>0) { ++ if (cut==0) { ++ up++; ++ u=*up; ++ cut=DECDPUN; ++ } ++ #if DECDPUN<=4 ++ temp=(u*6554)>>16; // fast /10 ++ nib=u-X10(temp); ++ u=temp; ++ #else ++ nib=u%10; // cannot use *6554 trick :-( ++ u=u/10; ++ #endif ++ obyte|=(nib<<4); ++ indigs--; ++ cut--; ++ } ++ *out=obyte; ++ obyte=0; // assume 0 ++ if (indigs>0) { ++ if (cut==0) { ++ up++; ++ u=*up; ++ cut=DECDPUN; ++ } ++ #if DECDPUN<=4 ++ temp=(u*6554)>>16; // as above ++ obyte=(uByte)(u-X10(temp)); ++ u=temp; ++ #else ++ obyte=(uByte)(u%10); ++ u=u/10; ++ #endif ++ indigs--; ++ cut--; ++ } ++ } // loop ++ ++ return bcd; ++ } // decPackedFromNumber ++ ++/* ------------------------------------------------------------------ */ ++/* decPackedToNumber -- convert BCD Packed Decimal to a decNumber */ ++/* */ ++/* bcd is the BCD bytes */ ++/* length is the length of the BCD array */ ++/* scale is the scale associated with the BCD integer */ ++/* dn is the decNumber [with space for length*2 digits] */ ++/* returns dn, or NULL if error */ ++/* */ ++/* The BCD packed decimal byte array, together with an associated */ ++/* scale, is converted to a decNumber. The BCD array is assumed full */ ++/* of digits, and must be ended by a 4-bit sign nibble in the least */ ++/* significant four bits of the final byte. */ ++/* */ ++/* The scale is used (negated) as the exponent of the decNumber. */ ++/* Note that zeros may have a sign and/or a scale. */ ++/* */ ++/* The decNumber structure is assumed to have sufficient space to */ ++/* hold the converted number (that is, up to length*2-1 digits), so */ ++/* no error is possible unless the adjusted exponent is out of range, */ ++/* no sign nibble was found, or a sign nibble was found before the */ ++/* final nibble. In these error cases, NULL is returned and the */ ++/* decNumber will be 0. */ ++/* ------------------------------------------------------------------ */ ++decNumber * decPackedToNumber(const uByte *bcd, Int length, ++ const Int *scale, decNumber *dn) { ++ const uByte *last=bcd+length-1; // -> last byte ++ const uByte *first; // -> first non-zero byte ++ uInt nib; // work nibble ++ Unit *up=dn->lsu; // output pointer ++ Int digits; // digits count ++ Int cut=0; // phase of output ++ ++ decNumberZero(dn); // default result ++ last=&bcd[length-1]; ++ nib=*last & 0x0f; // get the sign ++ if (nib==DECPMINUS || nib==DECPMINUSALT) dn->bits=DECNEG; ++ else if (nib<=9) return NULL; // not a sign nibble ++ ++ // skip leading zero bytes [final byte is always non-zero, due to sign] ++ for (first=bcd; *first==0;) first++; ++ digits=(last-first)*2+1; // calculate digits .. ++ if ((*first & 0xf0)==0) digits--; // adjust for leading zero nibble ++ if (digits!=0) dn->digits=digits; // count of actual digits [if 0, ++ // leave as 1] ++ ++ // check the adjusted exponent; note that scale could be unbounded ++ dn->exponent=-*scale; // set the exponent ++ if (*scale>=0) { // usual case ++ if ((dn->digits-*scale-1)<-DECNUMMAXE) { // underflow ++ decNumberZero(dn); ++ return NULL;} ++ } ++ else { // -ve scale; +ve exponent ++ // need to be careful to avoid wrap, here, also BADINT case ++ if ((*scale<-DECNUMMAXE) // overflow even without digits ++ || ((dn->digits-*scale-1)>DECNUMMAXE)) { // overflow ++ decNumberZero(dn); ++ return NULL;} ++ } ++ if (digits==0) return dn; // result was zero ++ ++ // copy the digits to the number's units, starting at the lsu ++ // [unrolled] ++ for (;;) { // forever ++ // left nibble first ++ nib=(unsigned)(*last & 0xf0)>>4; ++ // got a digit, in nib ++ if (nib>9) {decNumberZero(dn); return NULL;} ++ ++ if (cut==0) *up=(Unit)nib; ++ else *up=(Unit)(*up+nib*DECPOWERS[cut]); ++ digits--; ++ if (digits==0) break; // got them all ++ cut++; ++ if (cut==DECDPUN) { ++ up++; ++ cut=0; ++ } ++ last--; // ready for next ++ nib=*last & 0x0f; // get right nibble ++ if (nib>9) {decNumberZero(dn); return NULL;} ++ ++ // got a digit, in nib ++ if (cut==0) *up=(Unit)nib; ++ else *up=(Unit)(*up+nib*DECPOWERS[cut]); ++ digits--; ++ if (digits==0) break; // got them all ++ cut++; ++ if (cut==DECDPUN) { ++ up++; ++ cut=0; ++ } ++ } // forever ++ ++ return dn; ++ } // decPackedToNumber ++ +diff -Naur a/src/decNumber/decPacked.h b/src/decNumber/decPacked.h +--- a/src/decNumber/decPacked.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decPacked.h 2021-09-29 10:19:45.803827654 -0700 +@@ -0,0 +1,52 @@ ++/* ------------------------------------------------------------------ */ ++/* Packed Decimal conversion module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2005. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is called decNumber.pdf. This document is */ ++/* available, together with arithmetic and format specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECPACKED) ++ #define DECPACKED ++ #define DECPNAME "decPacked" /* Short name */ ++ #define DECPFULLNAME "Packed Decimal conversions" /* Verbose name */ ++ #define DECPAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ #define DECPACKED_DefP 32 /* default precision */ ++ ++ #ifndef DECNUMDIGITS ++ #define DECNUMDIGITS DECPACKED_DefP /* size if not already defined*/ ++ #endif ++ #include "decNumber.h" /* context and number library */ ++ ++ /* Sign nibble constants */ ++ #if !defined(DECPPLUSALT) ++ #define DECPPLUSALT 0x0A /* alternate plus nibble */ ++ #define DECPMINUSALT 0x0B /* alternate minus nibble */ ++ #define DECPPLUS 0x0C /* preferred plus nibble */ ++ #define DECPMINUS 0x0D /* preferred minus nibble */ ++ #define DECPPLUSALT2 0x0E /* alternate plus nibble */ ++ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */ ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* decPacked public routines */ ++ /* ---------------------------------------------------------------- */ ++ /* Conversions */ ++ uint8_t * decPackedFromNumber(uint8_t *, int32_t, int32_t *, ++ const decNumber *); ++ decNumber * decPackedToNumber(const uint8_t *, int32_t, const int32_t *, ++ decNumber *); ++ ++#endif +diff -Naur a/src/decNumber/decQuad.c b/src/decNumber/decQuad.c +--- a/src/decNumber/decQuad.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decQuad.c 2021-09-29 10:19:45.803827654 -0700 +@@ -0,0 +1,135 @@ ++/* ------------------------------------------------------------------ */ ++/* decQuad.c -- decQuad operations module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises decQuad operations (including conversions) */ ++/* ------------------------------------------------------------------ */ ++ ++ ++/* Constant mappings for shared code */ ++#define DECPMAX DECQUAD_Pmax ++#define DECEMIN DECQUAD_Emin ++#define DECEMAX DECQUAD_Emax ++#define DECEMAXD DECQUAD_EmaxD ++#define DECBYTES DECQUAD_Bytes ++#define DECSTRING DECQUAD_String ++#define DECECONL DECQUAD_EconL ++#define DECBIAS DECQUAD_Bias ++#define DECLETS DECQUAD_Declets ++#define DECQTINY (-DECQUAD_Bias) ++ ++/* Type and function mappings for shared code */ ++#define decFloat decQuad // Type name ++ ++// Utilities and conversions (binary results, extractors, etc.) ++#define decFloatFromBCD decQuadFromBCD ++#define decFloatFromInt32 decQuadFromInt32 ++#define decFloatFromPacked decQuadFromPacked ++#define decFloatFromPackedChecked decQuadFromPackedChecked ++#define decFloatFromString decQuadFromString ++#define decFloatFromUInt32 decQuadFromUInt32 ++#define decFloatFromWider decQuadFromWider ++#define decFloatGetCoefficient decQuadGetCoefficient ++#define decFloatGetExponent decQuadGetExponent ++#define decFloatSetCoefficient decQuadSetCoefficient ++#define decFloatSetExponent decQuadSetExponent ++#define decFloatShow decQuadShow ++#define decFloatToBCD decQuadToBCD ++#define decFloatToEngString decQuadToEngString ++#define decFloatToInt32 decQuadToInt32 ++#define decFloatToInt32Exact decQuadToInt32Exact ++#define decFloatToPacked decQuadToPacked ++#define decFloatToString decQuadToString ++#define decFloatToUInt32 decQuadToUInt32 ++#define decFloatToUInt32Exact decQuadToUInt32Exact ++#define decFloatToWider decQuadToWider ++#define decFloatZero decQuadZero ++ ++// Computational (result is a decFloat) ++#define decFloatAbs decQuadAbs ++#define decFloatAdd decQuadAdd ++#define decFloatAnd decQuadAnd ++#define decFloatDivide decQuadDivide ++#define decFloatDivideInteger decQuadDivideInteger ++#define decFloatFMA decQuadFMA ++#define decFloatInvert decQuadInvert ++#define decFloatLogB decQuadLogB ++#define decFloatMax decQuadMax ++#define decFloatMaxMag decQuadMaxMag ++#define decFloatMin decQuadMin ++#define decFloatMinMag decQuadMinMag ++#define decFloatMinus decQuadMinus ++#define decFloatMultiply decQuadMultiply ++#define decFloatNextMinus decQuadNextMinus ++#define decFloatNextPlus decQuadNextPlus ++#define decFloatNextToward decQuadNextToward ++#define decFloatOr decQuadOr ++#define decFloatPlus decQuadPlus ++#define decFloatQuantize decQuadQuantize ++#define decFloatReduce decQuadReduce ++#define decFloatRemainder decQuadRemainder ++#define decFloatRemainderNear decQuadRemainderNear ++#define decFloatRotate decQuadRotate ++#define decFloatScaleB decQuadScaleB ++#define decFloatShift decQuadShift ++#define decFloatSubtract decQuadSubtract ++#define decFloatToIntegralValue decQuadToIntegralValue ++#define decFloatToIntegralExact decQuadToIntegralExact ++#define decFloatXor decQuadXor ++ ++// Comparisons ++#define decFloatCompare decQuadCompare ++#define decFloatCompareSignal decQuadCompareSignal ++#define decFloatCompareTotal decQuadCompareTotal ++#define decFloatCompareTotalMag decQuadCompareTotalMag ++ ++// Copies ++#define decFloatCanonical decQuadCanonical ++#define decFloatCopy decQuadCopy ++#define decFloatCopyAbs decQuadCopyAbs ++#define decFloatCopyNegate decQuadCopyNegate ++#define decFloatCopySign decQuadCopySign ++ ++// Non-computational ++#define decFloatClass decQuadClass ++#define decFloatClassString decQuadClassString ++#define decFloatDigits decQuadDigits ++#define decFloatIsCanonical decQuadIsCanonical ++#define decFloatIsFinite decQuadIsFinite ++#define decFloatIsInfinite decQuadIsInfinite ++#define decFloatIsInteger decQuadIsInteger ++#define decFloatIsLogical decQuadIsLogical ++#define decFloatIsNaN decQuadIsNaN ++#define decFloatIsNegative decQuadIsNegative ++#define decFloatIsNormal decQuadIsNormal ++#define decFloatIsPositive decQuadIsPositive ++#define decFloatIsSignaling decQuadIsSignaling ++#define decFloatIsSignalling decQuadIsSignalling ++#define decFloatIsSigned decQuadIsSigned ++#define decFloatIsSubnormal decQuadIsSubnormal ++#define decFloatIsZero decQuadIsZero ++#define decFloatRadix decQuadRadix ++#define decFloatSameQuantum decQuadSameQuantum ++#define decFloatVersion decQuadVersion ++ ++/* And now the code itself */ ++#include "decContext.h" // public includes ++#include "decQuad.h" // .. ++#include "decNumberLocal.h" // local includes (need DECPMAX) ++#include "decCommon.c" // non-arithmetic decFloat routines ++#include "decBasic.c" // basic formats routines ++ +diff -Naur a/src/decNumber/decQuad.h b/src/decNumber/decQuad.h +--- a/src/decNumber/decQuad.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decQuad.h 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,177 @@ ++/* ------------------------------------------------------------------ */ ++/* decQuad.h -- Decimal 128-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This include file is always included by decSingle and decDouble, */ ++/* and therefore also holds useful constants used by all three. */ ++ ++#if !defined(DECQUAD) ++ #define DECQUAD ++ ++ #define DECQUADNAME "decimalQuad" /* Short name */ ++ #define DECQUADTITLE "Decimal 128-bit datum" /* Verbose name */ ++ #define DECQUADAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ /* parameters for decQuads */ ++ #define DECQUAD_Bytes 16 /* length */ ++ #define DECQUAD_Pmax 34 /* maximum precision (digits) */ ++ #define DECQUAD_Emin -6143 /* minimum adjusted exponent */ ++ #define DECQUAD_Emax 6144 /* maximum adjusted exponent */ ++ #define DECQUAD_EmaxD 4 /* maximum exponent digits */ ++ #define DECQUAD_Bias 6176 /* bias for the exponent */ ++ #define DECQUAD_String 43 /* maximum string length, +1 */ ++ #define DECQUAD_EconL 12 /* exponent continuation length */ ++ #define DECQUAD_Declets 11 /* count of declets */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECQUAD_Ehigh (DECQUAD_Emax + DECQUAD_Bias - (DECQUAD_Pmax-1)) ++ ++ /* Required include */ ++ #include "decContext.h" ++ ++ /* The decQuad decimal 128-bit type, accessible by all sizes */ ++ typedef union { ++ uint8_t bytes[DECQUAD_Bytes]; /* fields: 1, 5, 12, 110 bits */ ++ uint16_t shorts[DECQUAD_Bytes/2]; ++ uint32_t words[DECQUAD_Bytes/4]; ++ #if DECUSE64 ++ uint64_t longs[DECQUAD_Bytes/8]; ++ #endif ++ } decQuad; ++ ++ /* ---------------------------------------------------------------- */ ++ /* Shared constants */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* sign and special values [top 32-bits; last two bits are don't-care ++ for Infinity on input, last bit don't-care for NaNs] */ ++ #define DECFLOAT_Sign 0x80000000 /* 1 00000 00 Sign */ ++ #define DECFLOAT_NaN 0x7c000000 /* 0 11111 00 NaN generic */ ++ #define DECFLOAT_qNaN 0x7c000000 /* 0 11111 00 qNaN */ ++ #define DECFLOAT_sNaN 0x7e000000 /* 0 11111 10 sNaN */ ++ #define DECFLOAT_Inf 0x78000000 /* 0 11110 00 Infinity */ ++ #define DECFLOAT_MinSp 0x78000000 /* minimum special value */ ++ /* [specials are all >=MinSp] */ ++ /* Sign nibble constants */ ++ #if !defined(DECPPLUSALT) ++ #define DECPPLUSALT 0x0A /* alternate plus nibble */ ++ #define DECPMINUSALT 0x0B /* alternate minus nibble */ ++ #define DECPPLUS 0x0C /* preferred plus nibble */ ++ #define DECPMINUS 0x0D /* preferred minus nibble */ ++ #define DECPPLUSALT2 0x0E /* alternate plus nibble */ ++ #define DECPUNSIGNED 0x0F /* alternate plus nibble (unsigned) */ ++ #endif ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines -- implemented as decFloat routines in common files */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* Utilities and conversions, extractors, etc.) */ ++ extern decQuad * decQuadFromBCD(decQuad *, int32_t, const uint8_t *, int32_t); ++ extern decQuad * decQuadFromInt32(decQuad *, int32_t); ++ extern decQuad * decQuadFromPacked(decQuad *, int32_t, const uint8_t *); ++ extern decQuad * decQuadFromPackedChecked(decQuad *, int32_t, const uint8_t *); ++ extern decQuad * decQuadFromString(decQuad *, const char *, decContext *); ++ extern decQuad * decQuadFromUInt32(decQuad *, uint32_t); ++ extern int32_t decQuadGetCoefficient(const decQuad *, uint8_t *); ++ extern int32_t decQuadGetExponent(const decQuad *); ++ extern decQuad * decQuadSetCoefficient(decQuad *, const uint8_t *, int32_t); ++ extern decQuad * decQuadSetExponent(decQuad *, decContext *, int32_t); ++ extern void decQuadShow(const decQuad *, const char *); ++ extern int32_t decQuadToBCD(const decQuad *, int32_t *, uint8_t *); ++ extern char * decQuadToEngString(const decQuad *, char *); ++ extern int32_t decQuadToInt32(const decQuad *, decContext *, enum rounding); ++ extern int32_t decQuadToInt32Exact(const decQuad *, decContext *, enum rounding); ++ extern int32_t decQuadToPacked(const decQuad *, int32_t *, uint8_t *); ++ extern char * decQuadToString(const decQuad *, char *); ++ extern uint32_t decQuadToUInt32(const decQuad *, decContext *, enum rounding); ++ extern uint32_t decQuadToUInt32Exact(const decQuad *, decContext *, enum rounding); ++ extern decQuad * decQuadZero(decQuad *); ++ ++ /* Computational (result is a decQuad) */ ++ extern decQuad * decQuadAbs(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadAdd(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadAnd(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadDivide(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadDivideInteger(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadFMA(decQuad *, const decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadInvert(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadLogB(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMax(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMaxMag(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMin(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMinMag(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMinus(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadMultiply(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadNextMinus(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadNextPlus(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadNextToward(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadOr(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadPlus(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadQuantize(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadReduce(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadRemainder(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadRemainderNear(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadRotate(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadScaleB(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadShift(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadSubtract(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadToIntegralValue(decQuad *, const decQuad *, decContext *, enum rounding); ++ extern decQuad * decQuadToIntegralExact(decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadXor(decQuad *, const decQuad *, const decQuad *, decContext *); ++ ++ /* Comparisons */ ++ extern decQuad * decQuadCompare(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadCompareSignal(decQuad *, const decQuad *, const decQuad *, decContext *); ++ extern decQuad * decQuadCompareTotal(decQuad *, const decQuad *, const decQuad *); ++ extern decQuad * decQuadCompareTotalMag(decQuad *, const decQuad *, const decQuad *); ++ ++ /* Copies */ ++ extern decQuad * decQuadCanonical(decQuad *, const decQuad *); ++ extern decQuad * decQuadCopy(decQuad *, const decQuad *); ++ extern decQuad * decQuadCopyAbs(decQuad *, const decQuad *); ++ extern decQuad * decQuadCopyNegate(decQuad *, const decQuad *); ++ extern decQuad * decQuadCopySign(decQuad *, const decQuad *, const decQuad *); ++ ++ /* Non-computational */ ++ extern enum decClass decQuadClass(const decQuad *); ++ extern const char * decQuadClassString(const decQuad *); ++ extern uint32_t decQuadDigits(const decQuad *); ++ extern uint32_t decQuadIsCanonical(const decQuad *); ++ extern uint32_t decQuadIsFinite(const decQuad *); ++ extern uint32_t decQuadIsInteger(const decQuad *); ++ extern uint32_t decQuadIsLogical(const decQuad *); ++ extern uint32_t decQuadIsInfinite(const decQuad *); ++ extern uint32_t decQuadIsNaN(const decQuad *); ++ extern uint32_t decQuadIsNegative(const decQuad *); ++ extern uint32_t decQuadIsNormal(const decQuad *); ++ extern uint32_t decQuadIsPositive(const decQuad *); ++ extern uint32_t decQuadIsSignaling(const decQuad *); ++ extern uint32_t decQuadIsSignalling(const decQuad *); ++ extern uint32_t decQuadIsSigned(const decQuad *); ++ extern uint32_t decQuadIsSubnormal(const decQuad *); ++ extern uint32_t decQuadIsZero(const decQuad *); ++ extern uint32_t decQuadRadix(const decQuad *); ++ extern uint32_t decQuadSameQuantum(const decQuad *, const decQuad *); ++ extern const char * decQuadVersion(void); ++ ++ /* decNumber conversions; these are implemented as macros so as not */ ++ /* to force a dependency on decimal128 and decNumber in decQuad. */ ++ /* decQuadFromNumber returns a decimal128 * to avoid warnings. */ ++ #define decQuadToNumber(dq, dn) decimal128ToNumber((decimal128 *)(dq), dn) ++ #define decQuadFromNumber(dq, dn, set) decimal128FromNumber((decimal128 *)(dq), dn, set) ++ ++#endif +diff -Naur a/src/decNumber/decSingle.c b/src/decNumber/decSingle.c +--- a/src/decNumber/decSingle.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decSingle.c 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,71 @@ ++/* ------------------------------------------------------------------ */ ++/* decSingle.c -- decSingle operations module */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++/* This module comprises decSingle operations (including conversions) */ ++/* ------------------------------------------------------------------ */ ++ ++#include "decContext.h" // public includes ++#include "decSingle.h" // public includes ++ ++/* Constant mappings for shared code */ ++#define DECPMAX DECSINGLE_Pmax ++#define DECEMIN DECSINGLE_Emin ++#define DECEMAX DECSINGLE_Emax ++#define DECEMAXD DECSINGLE_EmaxD ++#define DECBYTES DECSINGLE_Bytes ++#define DECSTRING DECSINGLE_String ++#define DECECONL DECSINGLE_EconL ++#define DECBIAS DECSINGLE_Bias ++#define DECLETS DECSINGLE_Declets ++#define DECQTINY (-DECSINGLE_Bias) ++// parameters of next-wider format ++#define DECWBYTES DECDOUBLE_Bytes ++#define DECWPMAX DECDOUBLE_Pmax ++#define DECWECONL DECDOUBLE_EconL ++#define DECWBIAS DECDOUBLE_Bias ++ ++/* Type and function mappings for shared code */ ++#define decFloat decSingle // Type name ++#define decFloatWider decDouble // Type name ++ ++// Utility (binary results, extractors, etc.) ++#define decFloatFromBCD decSingleFromBCD ++#define decFloatFromPacked decSingleFromPacked ++#define decFloatFromPackedChecked decSingleFromPackedChecked ++#define decFloatFromString decSingleFromString ++#define decFloatFromWider decSingleFromWider ++#define decFloatGetCoefficient decSingleGetCoefficient ++#define decFloatGetExponent decSingleGetExponent ++#define decFloatSetCoefficient decSingleSetCoefficient ++#define decFloatSetExponent decSingleSetExponent ++#define decFloatShow decSingleShow ++#define decFloatToBCD decSingleToBCD ++#define decFloatToEngString decSingleToEngString ++#define decFloatToPacked decSingleToPacked ++#define decFloatToString decSingleToString ++#define decFloatToWider decSingleToWider ++#define decFloatZero decSingleZero ++ ++// Non-computational ++#define decFloatRadix decSingleRadix ++#define decFloatVersion decSingleVersion ++ ++#include "decNumberLocal.h" // local includes (need DECPMAX) ++#include "decCommon.c" // non-basic decFloat routines ++// [Do not include decBasic.c for decimal32] ++ +diff -Naur a/src/decNumber/decSingle.h b/src/decNumber/decSingle.h +--- a/src/decNumber/decSingle.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/decSingle.h 2021-09-29 10:19:45.804827660 -0700 +@@ -0,0 +1,86 @@ ++/* ------------------------------------------------------------------ */ ++/* decSingle.h -- Decimal 32-bit format module header */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. */ ++/* */ ++/* This software is made available under the terms of the */ ++/* ICU License -- ICU 1.8.1 and later. */ ++/* */ ++/* The description and User's Guide ("The decNumber C Library") for */ ++/* this software is included in the package as decNumber.pdf. This */ ++/* document is also available in HTML, together with specifications, */ ++/* testcases, and Web links, on the General Decimal Arithmetic page. */ ++/* */ ++/* Please send comments, suggestions, and corrections to the author: */ ++/* mfc@uk.ibm.com */ ++/* Mike Cowlishaw, IBM Fellow */ ++/* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */ ++/* ------------------------------------------------------------------ */ ++ ++#if !defined(DECSINGLE) ++ #define DECSINGLE ++ ++ #define DECSINGLENAME "decSingle" /* Short name */ ++ #define DECSINGLETITLE "Decimal 32-bit datum" /* Verbose name */ ++ #define DECSINGLEAUTHOR "Mike Cowlishaw" /* Who to blame */ ++ ++ /* parameters for decSingles */ ++ #define DECSINGLE_Bytes 4 /* length */ ++ #define DECSINGLE_Pmax 7 /* maximum precision (digits) */ ++ #define DECSINGLE_Emin -95 /* minimum adjusted exponent */ ++ #define DECSINGLE_Emax 96 /* maximum adjusted exponent */ ++ #define DECSINGLE_EmaxD 3 /* maximum exponent digits */ ++ #define DECSINGLE_Bias 101 /* bias for the exponent */ ++ #define DECSINGLE_String 16 /* maximum string length, +1 */ ++ #define DECSINGLE_EconL 6 /* exponent continuation length */ ++ #define DECSINGLE_Declets 2 /* count of declets */ ++ /* highest biased exponent (Elimit-1) */ ++ #define DECSINGLE_Ehigh (DECSINGLE_Emax + DECSINGLE_Bias - (DECSINGLE_Pmax-1)) ++ ++ /* Required includes */ ++ #include "decContext.h" ++ #include "decQuad.h" ++ #include "decDouble.h" ++ ++ /* The decSingle decimal 32-bit type, accessible by all sizes */ ++ typedef union { ++ uint8_t bytes[DECSINGLE_Bytes]; /* fields: 1, 5, 6, 20 bits */ ++ uint16_t shorts[DECSINGLE_Bytes/2]; ++ uint32_t words[DECSINGLE_Bytes/4]; ++ } decSingle; ++ ++ /* ---------------------------------------------------------------- */ ++ /* Routines -- implemented as decFloat routines in common files */ ++ /* ---------------------------------------------------------------- */ ++ ++ /* Utilities (binary argument(s) or result, extractors, etc.) */ ++ extern decSingle * decSingleFromBCD(decSingle *, int32_t, const uint8_t *, int32_t); ++ extern decSingle * decSingleFromPacked(decSingle *, int32_t, const uint8_t *); ++ extern decSingle * decSingleFromPackedChecked(decSingle *, int32_t, const uint8_t *); ++ extern decSingle * decSingleFromString(decSingle *, const char *, decContext *); ++ extern decSingle * decSingleFromWider(decSingle *, const decDouble *, decContext *); ++ extern int32_t decSingleGetCoefficient(const decSingle *, uint8_t *); ++ extern int32_t decSingleGetExponent(const decSingle *); ++ extern decSingle * decSingleSetCoefficient(decSingle *, const uint8_t *, int32_t); ++ extern decSingle * decSingleSetExponent(decSingle *, decContext *, int32_t); ++ extern void decSingleShow(const decSingle *, const char *); ++ extern int32_t decSingleToBCD(const decSingle *, int32_t *, uint8_t *); ++ extern char * decSingleToEngString(const decSingle *, char *); ++ extern int32_t decSingleToPacked(const decSingle *, int32_t *, uint8_t *); ++ extern char * decSingleToString(const decSingle *, char *); ++ extern decDouble * decSingleToWider(const decSingle *, decDouble *); ++ extern decSingle * decSingleZero(decSingle *); ++ ++ /* (No Arithmetic routines for decSingle) */ ++ ++ /* Non-computational */ ++ extern uint32_t decSingleRadix(const decSingle *); ++ extern const char * decSingleVersion(void); ++ ++ /* decNumber conversions; these are implemented as macros so as not */ ++ /* to force a dependency on decimal32 and decNumber in decSingle. */ ++ /* decSingleFromNumber returns a decimal32 * to avoid warnings. */ ++ #define decSingleToNumber(dq, dn) decimal32ToNumber((decimal32 *)(dq), dn) ++ #define decSingleFromNumber(dq, dn, set) decimal32FromNumber((decimal32 *)(dq), dn, set) ++ ++#endif +diff -Naur a/src/decNumber/example1.c b/src/decNumber/example1.c +--- a/src/decNumber/example1.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example1.c 2021-09-29 10:19:45.808827682 -0700 +@@ -0,0 +1,38 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example1.c -- convert the first two argument words to decNumber, ++// add them together, and display the result ++ ++#define DECNUMDIGITS 34 // work with up to 34 digits ++#include "decNumber.h" // base number library ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ decNumber a, b; // working numbers ++ decContext set; // working context ++ char string[DECNUMDIGITS+14]; // conversion buffer ++ ++ decContextTestEndian(0); // warn if DECLITEND is wrong ++ ++ if (argc<3) { // not enough words ++ printf("Please supply two numbers to add.\n"); ++ return 1; ++ } ++ decContextDefault(&set, DEC_INIT_BASE); // initialize ++ set.traps=0; // no traps, thank you ++ set.digits=DECNUMDIGITS; // set precision ++ ++ decNumberFromString(&a, argv[1], &set); ++ decNumberFromString(&b, argv[2], &set); ++ ++ decNumberAdd(&a, &a, &b, &set); // a=a+b ++ decNumberToString(&a, string); ++ ++ printf("%s + %s => %s\n", argv[1], argv[2], string); ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example2.c b/src/decNumber/example2.c +--- a/src/decNumber/example2.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example2.c 2021-09-29 10:19:45.808827682 -0700 +@@ -0,0 +1,52 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example2.c -- calculate compound interest ++// Arguments are investment, rate (%), and years ++ ++#define DECNUMDIGITS 38 // work with up to 38 digits ++#include "decNumber.h" // base number library ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ int need=3; ++ if (argc %s\n", ++ argv[1], argv[2], argv[3], string); ++ ++ } //---------------------------------------------------------------| ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example3.c b/src/decNumber/example3.c +--- a/src/decNumber/example3.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example3.c 2021-09-29 10:19:45.808827682 -0700 +@@ -0,0 +1,64 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example3.c -- calculate compound interest, passive checking ++// Arguments are investment, rate (%), and years ++ ++#define DECNUMDIGITS 38 // work with up to 38 digits ++#include "decNumber.h" // base number library ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ int need=3; ++ if (argc %s\n", ++ argv[1], argv[2], argv[3], string); ++ ++ } //---------------------------------------------------------------| ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example4.c b/src/decNumber/example4.c +--- a/src/decNumber/example4.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example4.c 2021-09-29 10:19:45.808827682 -0700 +@@ -0,0 +1,61 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example4.c -- add two numbers, active error handling ++// Arguments are two numbers ++ ++#define DECNUMDIGITS 38 // work with up to 38 digits ++#include "decNumber.h" // base number library ++#include // for printf ++ ++// [snip... ++#include // signal handling ++#include // setjmp/longjmp ++ ++jmp_buf preserve; // stack snapshot ++ ++void signalHandler(int); // prototype for GCC ++void signalHandler(int sig) { ++ signal(SIGFPE, signalHandler); // re-enable ++ longjmp(preserve, sig); // branch to preserved point ++ } ++// ...snip] ++int main(int argc, char *argv[]) { ++ decNumber a, b; // working numbers ++ decContext set; // working context ++ char string[DECNUMDIGITS+14]; // conversion buffer ++ int value; // work variable ++ ++ if (argc<3) { // not enough words ++ printf("Please supply two numbers to add.\n"); ++ return 1; ++ } ++ decContextDefault(&set, DEC_INIT_BASE); // initialize ++ ++// [snip... ++ signal(SIGFPE, signalHandler); // set up signal handler ++ value=setjmp(preserve); // preserve and test environment ++ if (value) { // (non-0 after longjmp) ++ set.status &= DEC_Errors; // keep only errors ++ printf("Signal trapped [%s].\n", decContextStatusToString(&set)); ++ return 1; ++ } ++// ...snip] ++ ++// [change from Example 1, here] ++ // leave traps enabled ++ set.digits=DECNUMDIGITS; // set precision ++ ++ decNumberFromString(&a, argv[1], &set); ++ decNumberFromString(&b, argv[2], &set); ++ ++ decNumberAdd(&a, &a, &b, &set); // A=A+B ++ decNumberToString(&a, string); ++ ++ printf("%s + %s => %s\n", argv[1], argv[2], string); ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example5.c b/src/decNumber/example5.c +--- a/src/decNumber/example5.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example5.c 2021-09-29 10:19:45.809827688 -0700 +@@ -0,0 +1,36 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example5.c -- decimal64 conversions ++ ++#include "decimal64.h" // decimal64 and decNumber library ++#include // for (s)printf ++ ++int main(int argc, char *argv[]) { ++ decimal64 a; // working decimal64 number ++ decNumber d; // working number ++ decContext set; // working context ++ char string[DECIMAL64_String]; // number->string buffer ++ char hexes[25]; // decimal64->hex buffer ++ int i; // counter ++ ++ if (argc<2) { // not enough words ++ printf("Please supply a number.\n"); ++ return 1; ++ } ++ decContextDefault(&set, DEC_INIT_DECIMAL64); // initialize ++ ++ decimal64FromString(&a, argv[1], &set); ++ // lay out the decimal64 as eight hexadecimal pairs ++ for (i=0; i<8; i++) { ++ sprintf(&hexes[i*3], "%02x ", a.bytes[i]); ++ } ++ decimal64ToNumber(&a, &d); ++ decNumberToString(&d, string); ++ printf("%s => %s=> %s\n", argv[1], hexes, string); ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example6.c b/src/decNumber/example6.c +--- a/src/decNumber/example6.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example6.c 2021-09-29 10:19:45.809827688 -0700 +@@ -0,0 +1,61 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example6.c -- calculate compound interest, using Packed Decimal ++// Values are investment, rate (%), and years ++ ++#include "decPacked.h" // base number library ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ { // excerpt for User's Guide starts here--------------------------| ++ decNumber one, mtwo, hundred; // constants ++ decNumber start, rate, years; // parameters ++ decNumber total; // result ++ decContext set; // working context ++ ++ uint8_t startpack[]={0x01, 0x00, 0x00, 0x0C}; // investment=100000 ++ int32_t startscale=0; ++ uint8_t ratepack[]={0x06, 0x5C}; // rate=6.5% ++ int32_t ratescale=1; ++ uint8_t yearspack[]={0x02, 0x0C}; // years=20 ++ int32_t yearsscale=0; ++ uint8_t respack[16]; // result, packed ++ int32_t resscale; // .. ++ char hexes[49]; // for packed->hex ++ int i; // counter ++ ++ if (argc<0) printf("%s", argv[1]); // noop for warning ++ ++ decContextDefault(&set, DEC_INIT_BASE); // initialize ++ set.traps=0; // no traps ++ set.digits=25; // precision 25 ++ decNumberFromString(&one, "1", &set); // set constants ++ decNumberFromString(&mtwo, "-2", &set); ++ decNumberFromString(&hundred, "100", &set); ++ ++ decPackedToNumber(startpack, sizeof(startpack), &startscale, &start); ++ decPackedToNumber(ratepack, sizeof(ratepack), &ratescale, &rate); ++ decPackedToNumber(yearspack, sizeof(yearspack), &yearsscale, &years); ++ ++ decNumberDivide(&rate, &rate, &hundred, &set); // rate=rate/100 ++ decNumberAdd(&rate, &rate, &one, &set); // rate=rate+1 ++ decNumberPower(&rate, &rate, &years, &set); // rate=rate^years ++ decNumberMultiply(&total, &rate, &start, &set); // total=rate*start ++ decNumberRescale(&total, &total, &mtwo, &set); // two digits please ++ ++ decPackedFromNumber(respack, sizeof(respack), &resscale, &total); ++ ++ // lay out the total as sixteen hexadecimal pairs ++ for (i=0; i<16; i++) { ++ sprintf(&hexes[i*3], "%02x ", respack[i]); ++ } ++ printf("Result: %s (scale=%ld)\n", hexes, (long int)resscale); ++ ++ } //---------------------------------------------------------------| ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example7.c b/src/decNumber/example7.c +--- a/src/decNumber/example7.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example7.c 2021-09-29 10:19:45.809827688 -0700 +@@ -0,0 +1,35 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001, 2008. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example7.c -- using decQuad to add two numbers together ++ ++// compile: example7.c decContext.c decQuad.c ++ ++#include "decQuad.h" // decQuad library ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ decQuad a, b; // working decQuads ++ decContext set; // working context ++ char string[DECQUAD_String]; // number->string buffer ++ ++ decContextTestEndian(0); // warn if DECLITEND is wrong ++ ++ if (argc<3) { // not enough words ++ printf("Please supply two numbers to add.\n"); ++ return 1; ++ } ++ decContextDefault(&set, DEC_INIT_DECQUAD); // initialize ++ ++ decQuadFromString(&a, argv[1], &set); ++ decQuadFromString(&b, argv[2], &set); ++ decQuadAdd(&a, &a, &b, &set); // a=a+b ++ decQuadToString(&a, string); ++ ++ printf("%s + %s => %s\n", argv[1], argv[2], string); ++ return 0; ++ } // main +diff -Naur a/src/decNumber/example8.c b/src/decNumber/example8.c +--- a/src/decNumber/example8.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/example8.c 2021-09-29 10:19:45.809827688 -0700 +@@ -0,0 +1,39 @@ ++/* ------------------------------------------------------------------ */ ++/* Decimal Number Library Demonstration program */ ++/* ------------------------------------------------------------------ */ ++/* Copyright (c) IBM Corporation, 2001, 2007. All rights reserved. */ ++/* ----------------------------------------------------------------+- */ ++/* right margin -->| */ ++ ++// example8.c -- using decQuad with the decNumber module ++ ++// compile: example8.c decContext.c decQuad.c ++// and: decNumber.c decimal128.c decimal64.c ++ ++#include "decQuad.h" // decQuad library ++#include "decimal128.h" // interface to decNumber ++#include // for printf ++ ++int main(int argc, char *argv[]) { ++ decQuad a; // working decQuad ++ decNumber numa, numb; // working decNumbers ++ decContext set; // working context ++ char string[DECQUAD_String]; // number->string buffer ++ ++ if (argc<3) { // not enough words ++ printf("Please supply two numbers for power(2*a, b).\n"); ++ return 1; ++ } ++ decContextDefault(&set, DEC_INIT_DECQUAD); // initialize ++ ++ decQuadFromString(&a, argv[1], &set); // get a ++ decQuadAdd(&a, &a, &a, &set); // double a ++ decQuadToNumber(&a, &numa); // convert to decNumber ++ decNumberFromString(&numb, argv[2], &set); ++ decNumberPower(&numa, &numa, &numb, &set); // numa=numa**numb ++ decQuadFromNumber(&a, &numa, &set); // back via a Quad ++ decQuadToString(&a, string); // .. ++ ++ printf("power(2*%s, %s) => %s\n", argv[1], argv[2], string); ++ return 0; ++ } // main +diff -Naur a/src/decNumber/ICU-license.html b/src/decNumber/ICU-license.html +--- a/src/decNumber/ICU-license.html 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/ICU-license.html 2021-09-29 10:19:45.793827599 -0700 +@@ -0,0 +1,45 @@ ++ ++ ++ ++ ++ICU License - ICU 1.8.1 and later ++ ++ ++ ++

ICU License - ICU 1.8.1 and later

++
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++ ++ +diff -Naur a/src/decNumber/readme.txt b/src/decNumber/readme.txt +--- a/src/decNumber/readme.txt 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/decNumber/readme.txt 2021-09-29 10:19:45.809827688 -0700 +@@ -0,0 +1,81 @@ ++This is the readme.txt for the decNumber package. It includes ++instructions for compiling and testing the package; please read them. ++--------------------------------------------------------------------- ++ ++decNumber is distributed in two forms; as a complete package from ++the International Components for Unicode (ICU) site (under an as-is ++license), or as a collection of Open Source files from the GCC source ++repository (under the GPL license). ++ ++If you are using the GCC files, you can obtain the documentation, the ++example files mentioned below, and this readme from the General ++Decimal Arithmetic web page -- http://speleotrove.com/decimal/ (the ++URL for the open source files is also linked from there). ++ ++ ++The ICU package ++--------------- ++ ++The ICU package includes the files: ++ ++ * readme.txt (this file) ++ ++ * ICU-license.html ++ ++ * decNumber.pdf (documentation) ++ ++ * The .c and .h file for each module in the package (see the ++ decNumber documentation), together with other included files. ++ ++ * The .c files for each of the examples (example1.c through ++ example8.c). ++ ++The ICU package is made available under the terms of the ICU License ++(ICU 1.8.1 and later) included in the package as ICU-license.html. ++Your use of that package indicates your acceptance of the terms and ++conditions of that Agreement. ++ ++ ++To use and check decNumber ++-------------------------- ++ ++ Please read the appropriate license and documentation before using ++ this package. If you are upgrading an existing use of decNumber ++ (with version <= 3.37) please read the Changes Appendix for later ++ versions -- you may need to change the DECLITEND flag. ++ ++ 1. Compile and link example1.c, decNumber.c, and decContext.c ++ For instance, use: ++ ++ gcc -o example1 example1.c decNumber.c decContext.c ++ ++ Note: If your compiler does not provide stdint.h or if your C ++ compiler does not handle line comments (// ...), then see the ++ User's Guide section in the documentation for further information ++ (including a sample minimal stdint.h). ++ ++ The use of compiler optimization is strongly recommended (e.g., ++ -O3 for GCC or /O2 for Visual Studio). ++ ++ 2. Run example1 with two numeric arguments, for example: ++ ++ example1 1.23 1.27 ++ ++ this should display: ++ ++ 1.23 + 1.27 => 2.50 ++ ++ 3. Similarly, try the other examples, at will. ++ ++ Examples 2->4 require three files to be compiled, like Example 1. ++ ++ Example 5 requires decimal64.c in addition to the core modules. ++ ++ Example 6 requires decPacked.c in addition to the core modules. ++ ++ Example 7 requires only example7.c decContext.c and decQuad.c ++ ++ Example 8 requires example8.c, decContext.c, and decQuad.c, plus ++ decNumber.c, decimal128.c, and decimal64.c (the latter ++ for shared tables and code) ++ +diff -Naur a/src/execute.c b/src/execute.c +--- a/src/execute.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/execute.c 2021-09-29 10:19:48.687843667 -0700 +@@ -509,21 +509,25 @@ + uint16_t v = *pc++; + jv* var = frame_local_var(jq, v, level); + jv max = stack_pop(jq); +- if (raising) goto do_backtrack; ++ if (raising) { ++ jv_free(max); ++ goto do_backtrack; ++ } + if (jv_get_kind(*var) != JV_KIND_NUMBER || + jv_get_kind(max) != JV_KIND_NUMBER) { + set_error(jq, jv_invalid_with_msg(jv_string_fmt("Range bounds must be numeric"))); + jv_free(max); + goto do_backtrack; +- } else if (jv_number_value(jv_copy(*var)) >= jv_number_value(jv_copy(max))) { ++ } else if (jv_number_value(*var) >= jv_number_value(max)) { + /* finished iterating */ ++ jv_free(max); + goto do_backtrack; + } else { +- jv curr = jv_copy(*var); ++ jv curr = *var; + *var = jv_number(jv_number_value(*var) + 1); + + struct stack_pos spos = stack_get_pos(jq); +- stack_push(jq, jv_copy(max)); ++ stack_push(jq, max); + stack_save(jq, pc - 3, spos); + + stack_push(jq, curr); +@@ -1010,6 +1014,9 @@ + jq->attrs = jv_object(); + jq->path = jv_null(); + jq->value_at_path = jv_null(); ++ ++ jq->nomem_handler = NULL; ++ jq->nomem_handler_data = NULL; + return jq; + } + +diff -Naur a/src/jq_test.c b/src/jq_test.c +--- a/src/jq_test.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/jq_test.c 2021-09-29 10:19:48.703843756 -0700 +@@ -6,20 +6,32 @@ + #include "jq.h" + + static void jv_test(); +-static void run_jq_tests(jv, int, FILE *); ++static void run_jq_tests(jv, int, FILE *, int, int); + + + int jq_testsuite(jv libdirs, int verbose, int argc, char* argv[]) { + FILE *testdata = stdin; ++ int skip = -1; ++ int take = -1; + jv_test(); + if (argc > 0) { +- testdata = fopen(argv[0], "r"); +- if (!testdata) { +- perror("fopen"); +- exit(1); ++ for(int i = 0; i < argc; i++) { ++ if (!strcmp(argv[i], "--skip")) { ++ skip = atoi(argv[i+1]); ++ i++; ++ } else if (!strcmp(argv[i], "--take")) { ++ take = atoi(argv[i+1]); ++ i++; ++ } else { ++ testdata = fopen(argv[i], "r"); ++ if (!testdata) { ++ perror("fopen"); ++ exit(1); ++ } ++ } + } + } +- run_jq_tests(libdirs, verbose, testdata); ++ run_jq_tests(libdirs, verbose, testdata, skip, take); + return 0; + } + +@@ -53,7 +65,7 @@ + jv_free(e); + } + +-static void run_jq_tests(jv lib_dirs, int verbose, FILE *testdata) { ++static void run_jq_tests(jv lib_dirs, int verbose, FILE *testdata, int skip, int take) { + char prog[4096]; + char buf[4096]; + struct err_data err_msg; +@@ -63,6 +75,9 @@ + int check_msg = 0; + jq_state *jq = NULL; + ++ int tests_to_skip = skip > 0 ? skip : 0; ++ int tests_to_take = take; ++ + jq = jq_init(); + assert(jq); + if (jv_get_kind(lib_dirs) == JV_KIND_NULL) +@@ -80,9 +95,37 @@ + continue; + } + if (prog[strlen(prog)-1] == '\n') prog[strlen(prog)-1] = 0; +- printf("Testing '%s' at line number %u\n", prog, lineno); ++ ++ if (skip > 0) { ++ skip--; ++ ++ // skip past test data ++ while (fgets(buf, sizeof(buf), testdata)) { ++ lineno++; ++ if (buf[0] == '\n' || (buf[0] == '\r' && buf[1] == '\n')) ++ break; ++ } ++ ++ must_fail = 0; ++ check_msg = 0; ++ ++ continue; ++ } else if (skip == 0) { ++ printf("Skipped %d tests\n", tests_to_skip); ++ skip = -1; ++ } ++ ++ if (take > 0) { ++ take--; ++ } else if (take == 0) { ++ printf("Hit the number of tests limit (%d), breaking\n", tests_to_take); ++ take = -1; ++ break; ++ } ++ + int pass = 1; + tests++; ++ printf("Test #%d: '%s' at line number %u\n", tests + tests_to_skip, prog, lineno); + int compiled = jq_compile(jq, prog); + + if (must_fail) { +@@ -179,7 +222,21 @@ + passed+=pass; + } + jq_teardown(&jq); +- printf("%d of %d tests passed (%d malformed)\n", passed,tests,invalid); ++ ++ int total_skipped = tests_to_skip; ++ ++ if (skip > 0) { ++ total_skipped = tests_to_skip - skip; ++ } ++ ++ printf("%d of %d tests passed (%d malformed, %d skipped)\n", ++ passed, tests, invalid, total_skipped); ++ ++ if (skip > 0) { ++ printf("WARN: skipped past the end of file, exiting with status 2\n"); ++ exit(2); ++ } ++ + if (passed != tests) exit(1); + } + +diff -Naur a/src/jv_aux.c b/src/jv_aux.c +--- a/src/jv_aux.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/jv_aux.c 2021-09-29 10:19:48.693843701 -0700 +@@ -2,6 +2,16 @@ + #include + #include + #include "jv_alloc.h" ++#include "jv_type_private.h" ++ ++// making this static verbose function here ++// until we introduce a less confusing naming scheme ++// of jv_* API with regards to the memory management ++static double jv_number_get_value_and_consume(jv number) { ++ double value = jv_number_value(number); ++ jv_free(number); ++ return value; ++} + + static int parse_slice(jv j, jv slice, int* pstart, int* pend) { + // Array slices +@@ -32,6 +42,8 @@ + } else { + double dstart = jv_number_value(start_jv); + double dend = jv_number_value(end_jv); ++ jv_free(start_jv); ++ jv_free(end_jv); + if (dstart < 0) dstart += len; + if (dend < 0) dend += len; + if (dstart < 0) dstart = 0; +@@ -69,6 +81,7 @@ + jv_free(v); + v = jv_null(); + } ++ jv_free(k); + } else { + jv_free(t); + jv_free(k); +@@ -135,6 +148,7 @@ + (jv_get_kind(t) == JV_KIND_ARRAY || isnull)) { + if (isnull) t = jv_array(); + t = jv_array_set(t, (int)jv_number_value(k), v); ++ jv_free(k); + } else if (jv_get_kind(k) == JV_KIND_OBJECT && + (jv_get_kind(t) == JV_KIND_ARRAY || isnull)) { + if (isnull) t = jv_array(); +@@ -202,6 +216,7 @@ + jv_get_kind(k) == JV_KIND_NUMBER) { + jv elem = jv_array_get(t, (int)jv_number_value(k)); + ret = jv_bool(jv_is_valid(elem)); ++ jv_free(k); + jv_free(elem); + } else { + ret = jv_invalid_with_msg(jv_string_fmt("Cannot check whether %s has a %s key", +@@ -240,6 +255,7 @@ + ends = jv_array_append(ends, jv_number(end)); + } else { + jv_free(new_array); ++ jv_free(key); + new_array = jv_invalid_with_msg(jv_string_fmt("Start and end indices of an array slice must be numbers")); + goto arr_out; + } +@@ -258,7 +274,7 @@ + jv_array_foreach(t, i, elem) { + int del = 0; + while (neg_idx < jv_array_length(jv_copy(neg_keys))) { +- int delidx = len + (int)jv_number_value(jv_array_get(jv_copy(neg_keys), neg_idx)); ++ int delidx = len + (int)jv_number_get_value_and_consume(jv_array_get(jv_copy(neg_keys), neg_idx)); + if (i == delidx) { + del = 1; + } +@@ -268,7 +284,7 @@ + neg_idx++; + } + while (nonneg_idx < jv_array_length(jv_copy(nonneg_keys))) { +- int delidx = (int)jv_number_value(jv_array_get(jv_copy(nonneg_keys), nonneg_idx)); ++ int delidx = (int)jv_number_get_value_and_consume(jv_array_get(jv_copy(nonneg_keys), nonneg_idx)); + if (i == delidx) { + del = 1; + } +@@ -278,8 +294,8 @@ + nonneg_idx++; + } + for (int sidx=0; !del && sidxcount == 1; + } + +-/* +- * Simple values (true, false, null) +- */ +- +-#define KIND_MASK 0xf ++#define KIND_MASK 0xF ++#define PFLAGS_MASK 0xF0 ++#define PTYPE_MASK 0x70 ++ ++typedef enum { ++ JVP_PAYLOAD_NONE = 0, ++ JVP_PAYLOAD_ALLOCATED = 0x80, ++} payload_flags; ++ ++#define JVP_MAKE_PFLAGS(ptype, allocated) ((((ptype) << 4) & PTYPE_MASK) | ((allocated) ? JVP_PAYLOAD_ALLOCATED : 0)) ++#define JVP_MAKE_FLAGS(kind, pflags) ((kind & KIND_MASK) | (pflags & PFLAGS_MASK)) ++ ++#define JVP_FLAGS(j) ((j).kind_flags) ++#define JVP_KIND(j) (JVP_FLAGS(j) & KIND_MASK) ++ ++#define JVP_HAS_FLAGS(j, flags) (JVP_FLAGS(j) == flags) ++#define JVP_HAS_KIND(j, kind) (JVP_KIND(j) == kind) ++ ++#define JVP_IS_ALLOCATED(j) (j.kind_flags & JVP_PAYLOAD_ALLOCATED) ++ ++#define JVP_FLAGS_NULL JVP_MAKE_FLAGS(JV_KIND_NULL, JVP_PAYLOAD_NONE) ++#define JVP_FLAGS_INVALID JVP_MAKE_FLAGS(JV_KIND_INVALID, JVP_PAYLOAD_NONE) ++#define JVP_FLAGS_FALSE JVP_MAKE_FLAGS(JV_KIND_FALSE, JVP_PAYLOAD_NONE) ++#define JVP_FLAGS_TRUE JVP_MAKE_FLAGS(JV_KIND_TRUE, JVP_PAYLOAD_NONE) + + jv_kind jv_get_kind(jv x) { +- return x.kind_flags & KIND_MASK; ++ return JVP_KIND(x); + } + + const char* jv_kind_name(jv_kind k) { +@@ -62,10 +90,10 @@ + return ""; + } + +-static const jv JV_NULL = {JV_KIND_NULL, 0, 0, 0, {0}}; +-static const jv JV_INVALID = {JV_KIND_INVALID, 0, 0, 0, {0}}; +-static const jv JV_FALSE = {JV_KIND_FALSE, 0, 0, 0, {0}}; +-static const jv JV_TRUE = {JV_KIND_TRUE, 0, 0, 0, {0}}; ++const jv JV_NULL = {JVP_FLAGS_NULL, 0, 0, 0, {0}}; ++const jv JV_INVALID = {JVP_FLAGS_INVALID, 0, 0, 0, {0}}; ++const jv JV_FALSE = {JVP_FLAGS_FALSE, 0, 0, 0, {0}}; ++const jv JV_TRUE = {JVP_FLAGS_TRUE, 0, 0, 0, {0}}; + + jv jv_true() { + return JV_TRUE; +@@ -87,19 +115,21 @@ + * Invalid objects, with optional error messages + */ + ++#define JVP_FLAGS_INVALID_MSG JVP_MAKE_FLAGS(JV_KIND_INVALID, JVP_PAYLOAD_ALLOCATED) ++ + typedef struct { + jv_refcnt refcnt; + jv errmsg; + } jvp_invalid; + + jv jv_invalid_with_msg(jv err) { +- if (jv_get_kind(err) == JV_KIND_NULL) ++ if (JVP_HAS_KIND(err, JV_KIND_NULL)) + return JV_INVALID; + jvp_invalid* i = jv_mem_alloc(sizeof(jvp_invalid)); + i->refcnt = JV_REFCNT_INIT; + i->errmsg = err; + +- jv x = {JV_KIND_INVALID, 0, 0, 0, {&i->refcnt}}; ++ jv x = {JVP_FLAGS_INVALID_MSG, 0, 0, 0, {&i->refcnt}}; + return x; + } + +@@ -108,26 +138,30 @@ + } + + jv jv_invalid_get_msg(jv inv) { +- assert(jv_get_kind(inv) == JV_KIND_INVALID); ++ assert(JVP_HAS_KIND(inv, JV_KIND_INVALID)); ++ + jv x; +- if (inv.u.ptr == 0) +- x = jv_null(); +- else ++ if (JVP_HAS_FLAGS(inv, JVP_FLAGS_INVALID_MSG)) { + x = jv_copy(((jvp_invalid*)inv.u.ptr)->errmsg); ++ } ++ else { ++ x = jv_null(); ++ } ++ + jv_free(inv); + return x; + } + + int jv_invalid_has_msg(jv inv) { +- jv msg = jv_invalid_get_msg(inv); +- int r = jv_get_kind(msg) != JV_KIND_NULL; +- jv_free(msg); ++ assert(JVP_HAS_KIND(inv, JV_KIND_INVALID)); ++ int r = JVP_HAS_FLAGS(inv, JVP_FLAGS_INVALID_MSG); ++ jv_free(inv); + return r; + } + + static void jvp_invalid_free(jv x) { +- assert(jv_get_kind(x) == JV_KIND_INVALID); +- if (x.u.ptr != 0 && jvp_refcnt_dec(x.u.ptr)) { ++ assert(JVP_HAS_KIND(x, JV_KIND_INVALID)); ++ if (JVP_HAS_FLAGS(x, JVP_FLAGS_INVALID_MSG) && jvp_refcnt_dec(x.u.ptr)) { + jv_free(((jvp_invalid*)x.u.ptr)->errmsg); + jv_mem_free(x.u.ptr); + } +@@ -137,20 +171,269 @@ + * Numbers + */ + ++enum { ++ JVP_NUMBER_NATIVE = 0, ++ JVP_NUMBER_DECIMAL = 1 ++}; ++ ++#define JV_NUMBER_SIZE_INIT (0) ++#define JV_NUMBER_SIZE_CONVERTED (1) ++ ++#define JVP_FLAGS_NUMBER_NATIVE JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_NATIVE, 0)) ++#define JVP_FLAGS_NUMBER_NATIVE_STR JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_NATIVE, 1)) ++#define JVP_FLAGS_NUMBER_LITERAL JVP_MAKE_FLAGS(JV_KIND_NUMBER, JVP_MAKE_PFLAGS(JVP_NUMBER_DECIMAL, 1)) ++ ++#define STR(x) #x ++#define XSTR(x) STR(x) ++#define DBL_MAX_STR XSTR(DBL_MAX) ++#define DBL_MIN_STR "-" XSTR(DBL_MAX) ++ ++// the decimal precision of binary double ++#define BIN64_DEC_PRECISION (17) ++#define DEC_NUMBER_STRING_GUARD (14) ++ ++#include ++ ++static pthread_key_t dec_ctx_key; ++static pthread_key_t dec_ctx_dbl_key; ++static pthread_once_t dec_ctx_once = PTHREAD_ONCE_INIT; ++ ++#define DEC_CONTEXT() tsd_dec_ctx_get(&dec_ctx_key) ++#define DEC_CONTEXT_TO_DOUBLE() tsd_dec_ctx_get(&dec_ctx_dbl_key) ++ ++// atexit finalizer to clean up the tsd dec contexts if main() exits ++// without having called pthread_exit() ++static void tsd_dec_ctx_fini() { ++ jv_mem_free(pthread_getspecific(dec_ctx_key)); ++ jv_mem_free(pthread_getspecific(dec_ctx_dbl_key)); ++ pthread_setspecific(dec_ctx_key, NULL); ++ pthread_setspecific(dec_ctx_dbl_key, NULL); ++} ++ ++static void tsd_dec_ctx_init() { ++ if (pthread_key_create(&dec_ctx_key, jv_mem_free) != 0) { ++ fprintf(stderr, "error: cannot create thread specific key"); ++ abort(); ++ } ++ if (pthread_key_create(&dec_ctx_dbl_key, jv_mem_free) != 0) { ++ fprintf(stderr, "error: cannot create thread specific key"); ++ abort(); ++ } ++ atexit(tsd_dec_ctx_fini); ++} ++ ++static decContext* tsd_dec_ctx_get(pthread_key_t *key) { ++ pthread_once(&dec_ctx_once, tsd_dec_ctx_init); // cannot fail ++ decContext *ctx = (decContext*)pthread_getspecific(*key); ++ if (ctx) { ++ return ctx; ++ } ++ ++ decContext _ctx = { ++ 0, ++ DEC_MAX_EMAX, ++ DEC_MIN_EMAX, ++ DEC_ROUND_HALF_UP, ++ 0, /*no errors*/ ++ 0, /*status*/ ++ 0, /*no clamping*/ ++ }; ++ if (key == &dec_ctx_key) { ++ _ctx.digits = DEC_MAX_DIGITS; ++ } else if (key == &dec_ctx_dbl_key) { ++ _ctx.digits = BIN64_DEC_PRECISION; ++ } ++ ++ ctx = malloc(sizeof(decContext)); ++ if (ctx) { ++ *ctx = _ctx; ++ if (pthread_setspecific(*key, ctx) != 0) { ++ fprintf(stderr, "error: cannot store thread specific data"); ++ abort(); ++ } ++ } ++ return ctx; ++} ++ ++typedef struct { ++ jv_refcnt refcnt; ++ double num_double; ++ char * literal_data; ++ decNumber num_decimal; // must be the last field in the structure for memory management ++} jvp_literal_number; ++ ++typedef struct { ++ decNumber number; ++ decNumberUnit units[1]; ++} decNumberSingle; ++ ++typedef struct { ++ decNumber number; ++ decNumberUnit units[BIN64_DEC_PRECISION]; ++} decNumberDoublePrecision; ++ ++ ++static inline int jvp_number_is_literal(jv n) { ++ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER)); ++ return JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL); ++} ++ ++static jvp_literal_number* jvp_literal_number_ptr(jv j) { ++ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL)); ++ return (jvp_literal_number*)j.u.ptr; ++} ++ ++static decNumber* jvp_dec_number_ptr(jv j) { ++ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL)); ++ return &(((jvp_literal_number*)j.u.ptr)->num_decimal); ++} ++ ++static jvp_literal_number* jvp_literal_number_alloc(unsigned literal_length) { ++ ++ /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */ ++ int units = ((literal_length+DECDPUN-1)/DECDPUN); ++ ++ jvp_literal_number* n = jv_mem_alloc( ++ sizeof(jvp_literal_number) ++ + sizeof(decNumberUnit) * units ++ ); ++ ++ return n; ++} ++ ++static jv jvp_literal_number_new(const char * literal) { ++ ++ jvp_literal_number * n = jvp_literal_number_alloc(strlen(literal)); ++ ++ n->refcnt = JV_REFCNT_INIT; ++ n->literal_data = NULL; ++ decContext *ctx = DEC_CONTEXT(); ++ decNumberFromString(&n->num_decimal, literal, ctx); ++ n->num_double = NAN; ++ ++ if (ctx->status & DEC_Conversion_syntax) { ++ jv_mem_free(n); ++ return JV_INVALID; ++ } ++ ++ jv r = {JVP_FLAGS_NUMBER_LITERAL, 0, 0, JV_NUMBER_SIZE_INIT, {&n->refcnt}}; ++ return r; ++} ++ ++static double jvp_literal_number_to_double(jv j) { ++ assert(JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL)); ++ ++ decNumber *p_dec_number = jvp_dec_number_ptr(j); ++ decNumberDoublePrecision dec_double; ++ char literal[BIN64_DEC_PRECISION + DEC_NUMBER_STRING_GUARD + 1]; ++ ++ // reduce the number to the shortest possible form ++ // while also making sure than no more than BIN64_DEC_PRECISION ++ // digits are used (dec_context_to_double) ++ decNumberReduce(&dec_double.number, p_dec_number, DEC_CONTEXT_TO_DOUBLE()); ++ ++ decNumberToString(&dec_double.number, literal); ++ ++ char *end; ++ return jvp_strtod(tsd_dtoa_context_get(), literal, &end); ++} ++ ++ ++static int jvp_number_equal(jv a, jv b) { ++ return jvp_number_cmp(a, b) == 0; ++} ++ ++static const char* jvp_literal_number_literal(jv n) { ++ assert(JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL)); ++ decNumber *pdec = jvp_dec_number_ptr(n); ++ jvp_literal_number* plit = jvp_literal_number_ptr(n); ++ ++ if (decNumberIsNaN(pdec)) { ++ return "null"; ++ } ++ ++ if (decNumberIsInfinite(pdec)) { ++ // For backward compatibiltiy. ++ if (decNumberIsNegative(pdec)) { ++ return DBL_MIN_STR; ++ } else { ++ return DBL_MAX_STR; ++ } ++ } ++ ++ if (plit->literal_data == NULL) { ++ int len = jvp_dec_number_ptr(n)->digits + 14; ++ plit->literal_data = jv_mem_alloc(len); ++ ++ // Preserve the actual precision as we have parsed it ++ // don't do decNumberTrim(pdec); ++ ++ decNumberToString(pdec, plit->literal_data); ++ } ++ ++ return plit->literal_data; ++} ++ ++int jv_number_has_literal(jv n) { ++ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER)); ++ return JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL); ++} ++ ++const char* jv_number_get_literal(jv n) { ++ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER)); ++ ++ if (JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL)) { ++ return jvp_literal_number_literal(n); ++ } else { ++ return NULL; ++ } ++} ++ ++static void jvp_number_free(jv j) { ++ assert(JVP_HAS_KIND(j, JV_KIND_NUMBER)); ++ if (JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL) && jvp_refcnt_dec(j.u.ptr)) { ++ jvp_literal_number* n = jvp_literal_number_ptr(j); ++ if (n->literal_data) { ++ jv_mem_free(n->literal_data); ++ } ++ jv_mem_free(n); ++ } ++} ++ ++jv jv_number_with_literal(const char * literal) { ++ return jvp_literal_number_new(literal); ++} ++ + jv jv_number(double x) { +- jv j = {JV_KIND_NUMBER, 0, 0, 0, {.number = x}}; ++ jv j = {JVP_FLAGS_NUMBER_NATIVE, 0, 0, 0, {.number = x}}; + return j; + } + + double jv_number_value(jv j) { +- assert(jv_get_kind(j) == JV_KIND_NUMBER); +- return j.u.number; ++ assert(JVP_HAS_KIND(j, JV_KIND_NUMBER)); ++#ifdef USE_DECNUM ++ if (JVP_HAS_FLAGS(j, JVP_FLAGS_NUMBER_LITERAL)) { ++ jvp_literal_number* n = jvp_literal_number_ptr(j); ++ ++ if (j.size != JV_NUMBER_SIZE_CONVERTED) { ++ n->num_double = jvp_literal_number_to_double(j); ++ j.size = JV_NUMBER_SIZE_CONVERTED; ++ } ++ ++ return n->num_double; ++ } else { ++#endif ++ return j.u.number; ++#ifdef USE_DECNUM ++ } ++#endif + } + + int jv_is_integer(jv j){ +- if(jv_get_kind(j) != JV_KIND_NUMBER){ ++ if(!JVP_HAS_KIND(j, JV_KIND_NUMBER)){ + return 0; + } ++ + double x = jv_number_value(j); + if(x != x || x > INT_MAX || x < INT_MIN){ + return 0; +@@ -159,11 +442,53 @@ + return x == (int)x; + } + ++int jvp_number_is_nan(jv n) { ++ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER)); ++ ++ if (JVP_HAS_FLAGS(n, JVP_FLAGS_NUMBER_LITERAL)) { ++ decNumber *pdec = jvp_dec_number_ptr(n); ++ return decNumberIsNaN(pdec); ++ } else { ++ return n.u.number != n.u.number; ++ } ++} ++ ++int jvp_number_cmp(jv a, jv b) { ++ assert(JVP_HAS_KIND(a, JV_KIND_NUMBER)); ++ assert(JVP_HAS_KIND(b, JV_KIND_NUMBER)); ++ ++ if(JVP_HAS_FLAGS(a, JVP_FLAGS_NUMBER_LITERAL) && JVP_HAS_FLAGS(b, JVP_FLAGS_NUMBER_LITERAL)) { ++ decNumberSingle res; ++ decNumberCompare(&res.number, ++ jvp_dec_number_ptr(a), ++ jvp_dec_number_ptr(b), ++ DEC_CONTEXT() ++ ); ++ if (decNumberIsZero(&res.number)) { ++ return 0; ++ } else if (decNumberIsNegative(&res.number)) { ++ return -1; ++ } else { ++ return 1; ++ } ++ } else { ++ double da = jv_number_value(a), db = jv_number_value(b); ++ if (da < db) { ++ return -1; ++ } else if (da == db) { ++ return 0; ++ } else { ++ return 1; ++ } ++ } ++} ++ + /* + * Arrays (internal helpers) + */ + + #define ARRAY_SIZE_ROUND_UP(n) (((n)*3)/2) ++#define JVP_FLAGS_ARRAY JVP_MAKE_FLAGS(JV_KIND_ARRAY, JVP_PAYLOAD_ALLOCATED) + + static int imax(int a, int b) { + if (a>b) return a; +@@ -178,7 +503,7 @@ + } jvp_array; + + static jvp_array* jvp_array_ptr(jv a) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + return (jvp_array*)a.u.ptr; + } + +@@ -191,12 +516,12 @@ + } + + static jv jvp_array_new(unsigned size) { +- jv r = {JV_KIND_ARRAY, 0, 0, 0, {&jvp_array_alloc(size)->refcnt}}; ++ jv r = {JVP_FLAGS_ARRAY, 0, 0, 0, {&jvp_array_alloc(size)->refcnt}}; + return r; + } + + static void jvp_array_free(jv a) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + if (jvp_refcnt_dec(a.u.ptr)) { + jvp_array* array = jvp_array_ptr(a); + for (int i=0; ilength; i++) { +@@ -207,17 +532,17 @@ + } + + static int jvp_array_length(jv a) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + return a.size; + } + + static int jvp_array_offset(jv a) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + return a.offset; + } + + static jv* jvp_array_read(jv a, int i) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + if (i >= 0 && i < jvp_array_length(a)) { + jvp_array* array = jvp_array_ptr(a); + assert(i + jvp_array_offset(a) < array->length); +@@ -254,7 +579,7 @@ + } + new_array->length = new_length; + jvp_array_free(*a); +- jv new_jv = {JV_KIND_ARRAY, 0, 0, new_length, {&new_array->refcnt}}; ++ jv new_jv = {JVP_FLAGS_ARRAY, 0, 0, new_length, {&new_array->refcnt}}; + *a = new_jv; + return &new_array->elements[i]; + } +@@ -285,8 +610,33 @@ + if (*pend < *pstart) *pend = *pstart; + } + ++ ++static int jvp_array_contains(jv a, jv b) { ++ int r = 1; ++ jv_array_foreach(b, bi, belem) { ++ int ri = 0; ++ jv_array_foreach(a, ai, aelem) { ++ if (jv_contains(aelem, jv_copy(belem))) { ++ ri = 1; ++ break; ++ } ++ } ++ jv_free(belem); ++ if (!ri) { ++ r = 0; ++ break; ++ } ++ } ++ return r; ++} ++ ++ ++/* ++ * Public ++ */ ++ + static jv jvp_array_slice(jv a, int start, int end) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + int len = jvp_array_length(a); + jvp_clamp_slice_params(len, &start, &end); + assert(0 <= start && start <= end && end <= len); +@@ -323,14 +673,14 @@ + } + + int jv_array_length(jv j) { +- assert(jv_get_kind(j) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY)); + int len = jvp_array_length(j); + jv_free(j); + return len; + } + + jv jv_array_get(jv j, int idx) { +- assert(jv_get_kind(j) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY)); + jv* slot = jvp_array_read(j, idx); + jv val; + if (slot) { +@@ -343,7 +693,7 @@ + } + + jv jv_array_set(jv j, int idx, jv val) { +- assert(jv_get_kind(j) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY)); + + if (idx < 0) + idx = jvp_array_length(j) + idx; +@@ -365,8 +715,8 @@ + } + + jv jv_array_concat(jv a, jv b) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); +- assert(jv_get_kind(b) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); ++ assert(JVP_HAS_KIND(b, JV_KIND_ARRAY)); + + // FIXME: could be faster + jv_array_foreach(b, i, elem) { +@@ -377,44 +727,22 @@ + } + + jv jv_array_slice(jv a, int start, int end) { +- assert(jv_get_kind(a) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(a, JV_KIND_ARRAY)); + // copy/free of a coalesced + return jvp_array_slice(a, start, end); + } + +-int jv_array_contains(jv a, jv b) { +- int r = 1; +- jv_array_foreach(b, bi, belem) { +- int ri = 0; +- jv_array_foreach(a, ai, aelem) { +- if (jv_contains(aelem, jv_copy(belem))) { +- ri = 1; +- break; +- } +- } +- jv_free(belem); +- if (!ri) { +- r = 0; +- break; +- } +- } +- jv_free(a); +- jv_free(b); +- return r; +-} +- + jv jv_array_indexes(jv a, jv b) { + jv res = jv_array(); + int idx = -1; + jv_array_foreach(a, ai, aelem) { ++ jv_free(aelem); + jv_array_foreach(b, bi, belem) { +- // quieten compiler warnings about aelem not being used... by +- // using it +- if ((bi == 0 && !jv_equal(jv_copy(aelem), jv_copy(belem))) || +- (bi > 0 && !jv_equal(jv_array_get(jv_copy(a), ai + bi), jv_copy(belem)))) ++ if (!jv_equal(jv_array_get(jv_copy(a), ai + bi), jv_copy(belem))) + idx = -1; + else if (bi == 0 && idx == -1) + idx = ai; ++ jv_free(belem); + } + if (idx > -1) + res = jv_array_append(res, jv_number(idx)); +@@ -425,11 +753,12 @@ + return res; + } + +- + /* + * Strings (internal helpers) + */ + ++#define JVP_FLAGS_STRING JVP_MAKE_FLAGS(JV_KIND_STRING, JVP_PAYLOAD_ALLOCATED) ++ + typedef struct { + jv_refcnt refcnt; + uint32_t hash; +@@ -441,7 +770,7 @@ + } jvp_string; + + static jvp_string* jvp_string_ptr(jv a) { +- assert(jv_get_kind(a) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(a, JV_KIND_STRING)); + return (jvp_string*)a.u.ptr; + } + +@@ -473,7 +802,7 @@ + length = out - s->data; + s->data[length] = 0; + s->length_hashed = length << 1; +- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}}; ++ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}}; + return r; + } + +@@ -484,7 +813,7 @@ + if (data != NULL) + memcpy(s->data, data, length); + s->data[length] = 0; +- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}}; ++ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}}; + return r; + } + +@@ -492,7 +821,7 @@ + jvp_string* s = jvp_string_alloc(length); + s->length_hashed = 0; + memset(s->data, 0, length); +- jv r = {JV_KIND_STRING, 0, 0, 0, {&s->refcnt}}; ++ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&s->refcnt}}; + return r; + } + +@@ -535,7 +864,7 @@ + memcpy(news->data + currlen, data, len); + news->data[currlen + len] = 0; + jvp_string_free(string); +- jv r = {JV_KIND_STRING, 0, 0, 0, {&news->refcnt}}; ++ jv r = {JVP_FLAGS_STRING, 0, 0, 0, {&news->refcnt}}; + return r; + } + } +@@ -602,9 +931,10 @@ + return h1; + } + ++ + static int jvp_string_equal(jv a, jv b) { +- assert(jv_get_kind(a) == JV_KIND_STRING); +- assert(jv_get_kind(b) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(a, JV_KIND_STRING)); ++ assert(JVP_HAS_KIND(b, JV_KIND_STRING)); + jvp_string* stra = jvp_string_ptr(a); + jvp_string* strb = jvp_string_ptr(b); + if (jvp_string_length(stra) != jvp_string_length(strb)) return 0; +@@ -631,14 +961,14 @@ + } + + int jv_string_length_bytes(jv j) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + int r = jvp_string_length(jvp_string_ptr(j)); + jv_free(j); + return r; + } + + int jv_string_length_codepoints(jv j) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + const char* i = jv_string_value(j); + const char* end = i + jv_string_length_bytes(jv_copy(j)); + int c = 0, len = 0; +@@ -649,8 +979,8 @@ + + + jv jv_string_indexes(jv j, jv k) { +- assert(jv_get_kind(j) == JV_KIND_STRING); +- assert(jv_get_kind(k) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); ++ assert(JVP_HAS_KIND(k, JV_KIND_STRING)); + const char *jstr = jv_string_value(j); + const char *idxstr = jv_string_value(k); + const char *p; +@@ -669,8 +999,8 @@ + } + + jv jv_string_split(jv j, jv sep) { +- assert(jv_get_kind(j) == JV_KIND_STRING); +- assert(jv_get_kind(sep) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); ++ assert(JVP_HAS_KIND(sep, JV_KIND_STRING)); + const char *jstr = jv_string_value(j); + const char *jend = jstr + jv_string_length_bytes(jv_copy(j)); + const char *sepstr = jv_string_value(sep); +@@ -701,7 +1031,7 @@ + } + + jv jv_string_explode(jv j) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + const char* i = jv_string_value(j); + int len = jv_string_length_bytes(jv_copy(j)); + const char* end = i + len; +@@ -714,7 +1044,7 @@ + } + + jv jv_string_implode(jv j) { +- assert(jv_get_kind(j) == JV_KIND_ARRAY); ++ assert(JVP_HAS_KIND(j, JV_KIND_ARRAY)); + int len = jv_array_length(jv_copy(j)); + jv s = jv_string_empty(len); + int i; +@@ -723,8 +1053,9 @@ + + for (i = 0; i < len; i++) { + jv n = jv_array_get(jv_copy(j), i); +- assert(jv_get_kind(n) == JV_KIND_NUMBER); ++ assert(JVP_HAS_KIND(n, JV_KIND_NUMBER)); + int nv = jv_number_value(n); ++ jv_free(n); + if (nv > 0x10FFFF) + nv = 0xFFFD; // U+FFFD REPLACEMENT CHARACTER + s = jv_string_append_codepoint(s, nv); +@@ -735,19 +1066,19 @@ + } + + unsigned long jv_string_hash(jv j) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + uint32_t hash = jvp_string_hash(j); + jv_free(j); + return hash; + } + + const char* jv_string_value(jv j) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + return jvp_string_ptr(j)->data; + } + + jv jv_string_slice(jv j, int start, int end) { +- assert(jv_get_kind(j) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(j, JV_KIND_STRING)); + const char *s = jv_string_value(j); + int len = jv_string_length_bytes(jv_copy(j)); + int i; +@@ -858,6 +1189,8 @@ + * Objects (internal helpers) + */ + ++#define JVP_FLAGS_OBJECT JVP_MAKE_FLAGS(JV_KIND_OBJECT, JVP_PAYLOAD_ALLOCATED) ++ + struct object_slot { + int next; /* next slot with same hash, for collisions */ + uint32_t hash; +@@ -894,22 +1227,22 @@ + for (int i=0; irefcnt}}; ++ jv r = {JVP_FLAGS_OBJECT, 0, 0, size, {&obj->refcnt}}; + return r; + } + + static jvp_object* jvp_object_ptr(jv o) { +- assert(jv_get_kind(o) == JV_KIND_OBJECT); ++ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT)); + return (jvp_object*)o.u.ptr; + } + + static uint32_t jvp_object_mask(jv o) { +- assert(jv_get_kind(o) == JV_KIND_OBJECT); ++ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT)); + return (o.size * 2) - 1; + } + + static int jvp_object_size(jv o) { +- assert(jv_get_kind(o) == JV_KIND_OBJECT); ++ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT)); + return o.size; + } + +@@ -957,7 +1290,7 @@ + } + + static jv* jvp_object_read(jv object, jv key) { +- assert(jv_get_kind(key) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(key, JV_KIND_STRING)); + int* bucket = jvp_object_find_bucket(object, key); + struct object_slot* slot = jvp_object_find_slot(object, key, bucket); + if (slot == 0) return 0; +@@ -965,7 +1298,7 @@ + } + + static void jvp_object_free(jv o) { +- assert(jv_get_kind(o) == JV_KIND_OBJECT); ++ assert(JVP_HAS_KIND(o, JV_KIND_OBJECT)); + if (jvp_refcnt_dec(o.u.ptr)) { + for (int i=0; istring; +- assert(jv_get_kind(s) == JV_KIND_STRING); ++ assert(JVP_HAS_KIND(s, JV_KIND_STRING)); + return jv_copy(s); + } + +@@ -1240,34 +1570,36 @@ + * Memory management + */ + jv jv_copy(jv j) { +- if (jv_get_kind(j) == JV_KIND_ARRAY || +- jv_get_kind(j) == JV_KIND_STRING || +- jv_get_kind(j) == JV_KIND_OBJECT || +- (jv_get_kind(j) == JV_KIND_INVALID && j.u.ptr != 0)) { ++ if (JVP_IS_ALLOCATED(j)) { + jvp_refcnt_inc(j.u.ptr); + } + return j; + } + + void jv_free(jv j) { +- if (jv_get_kind(j) == JV_KIND_ARRAY) { +- jvp_array_free(j); +- } else if (jv_get_kind(j) == JV_KIND_STRING) { +- jvp_string_free(j); +- } else if (jv_get_kind(j) == JV_KIND_OBJECT) { +- jvp_object_free(j); +- } else if (jv_get_kind(j) == JV_KIND_INVALID) { +- jvp_invalid_free(j); ++ switch(JVP_KIND(j)) { ++ case JV_KIND_ARRAY: ++ jvp_array_free(j); ++ break; ++ case JV_KIND_STRING: ++ jvp_string_free(j); ++ break; ++ case JV_KIND_OBJECT: ++ jvp_object_free(j); ++ break; ++ case JV_KIND_INVALID: ++ jvp_invalid_free(j); ++ break; ++ case JV_KIND_NUMBER: ++ jvp_number_free(j); ++ break; + } + } + + int jv_get_refcnt(jv j) { +- switch (jv_get_kind(j)) { +- case JV_KIND_ARRAY: +- case JV_KIND_STRING: +- case JV_KIND_OBJECT: ++ if (JVP_IS_ALLOCATED(j)) { + return j.u.ptr->count; +- default: ++ } else { + return 1; + } + } +@@ -1280,14 +1612,17 @@ + int r; + if (jv_get_kind(a) != jv_get_kind(b)) { + r = 0; +- } else if (jv_get_kind(a) == JV_KIND_NUMBER) { +- r = jv_number_value(a) == jv_number_value(b); +- } else if (a.kind_flags == b.kind_flags && ++ } else if (JVP_IS_ALLOCATED(a) && ++ JVP_IS_ALLOCATED(b) && ++ a.kind_flags == b.kind_flags && + a.size == b.size && + a.u.ptr == b.u.ptr) { + r = 1; + } else { + switch (jv_get_kind(a)) { ++ case JV_KIND_NUMBER: ++ r = jvp_number_equal(a, b); ++ break; + case JV_KIND_ARRAY: + r = jvp_array_equal(a, b); + break; +@@ -1314,18 +1649,10 @@ + || a.size != b.size) { + r = 0; + } else { +- switch (jv_get_kind(a)) { +- case JV_KIND_ARRAY: +- case JV_KIND_STRING: +- case JV_KIND_OBJECT: ++ if (JVP_IS_ALLOCATED(a) /* b has the same flags */) { + r = a.u.ptr == b.u.ptr; +- break; +- case JV_KIND_NUMBER: +- r = memcmp(&a.u.number, &b.u.number, sizeof(a.u.number)) == 0; +- break; +- default: +- r = 1; +- break; ++ } else { ++ r = memcmp(&a.u.ptr, &b.u.ptr, sizeof(a.u)) == 0; + } + } + jv_free(a); +@@ -1337,12 +1664,18 @@ + int r = 1; + if (jv_get_kind(a) != jv_get_kind(b)) { + r = 0; +- } else if (jv_get_kind(a) == JV_KIND_OBJECT) { +- r = jv_object_contains(jv_copy(a), jv_copy(b)); +- } else if (jv_get_kind(a) == JV_KIND_ARRAY) { +- r = jv_array_contains(jv_copy(a), jv_copy(b)); +- } else if (jv_get_kind(a) == JV_KIND_STRING) { +- r = strstr(jv_string_value(a), jv_string_value(b)) != 0; ++ } else if (JVP_HAS_KIND(a, JV_KIND_OBJECT)) { ++ r = jvp_object_contains(a, b); ++ } else if (JVP_HAS_KIND(a, JV_KIND_ARRAY)) { ++ r = jvp_array_contains(a, b); ++ } else if (JVP_HAS_KIND(a, JV_KIND_STRING)) { ++ int b_len = jv_string_length_bytes(jv_copy(b)); ++ if (b_len != 0) { ++ r = _jq_memmem(jv_string_value(a), jv_string_length_bytes(jv_copy(a)), ++ jv_string_value(b), b_len) != 0; ++ } else { ++ r = 1; ++ } + } else { + r = jv_equal(jv_copy(a), jv_copy(b)); + } +diff -Naur a/src/jv_dtoa_tsd.c b/src/jv_dtoa_tsd.c +--- a/src/jv_dtoa_tsd.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/jv_dtoa_tsd.c 2021-09-29 10:19:48.693843701 -0700 +@@ -0,0 +1,46 @@ ++#include ++#include ++#include ++ ++#include "jv_dtoa_tsd.h" ++#include "jv_dtoa.h" ++#include "jv_alloc.h" ++ ++ ++static pthread_key_t dtoa_ctx_key; ++static pthread_once_t dtoa_ctx_once = PTHREAD_ONCE_INIT; ++ ++static void tsd_dtoa_ctx_dtor(struct dtoa_context *ctx) { ++ if (ctx) { ++ jvp_dtoa_context_free(ctx); ++ jv_mem_free(ctx); ++ } ++} ++ ++static void tsd_dtoa_ctx_fini() { ++ struct dtoa_context *ctx = pthread_getspecific(dtoa_ctx_key); ++ tsd_dtoa_ctx_dtor(ctx); ++ pthread_setspecific(dtoa_ctx_key, NULL); ++} ++ ++static void tsd_dtoa_ctx_init() { ++ if (pthread_key_create(&dtoa_ctx_key, tsd_dtoa_ctx_dtor) != 0) { ++ fprintf(stderr, "error: cannot create thread specific key"); ++ abort(); ++ } ++ atexit(tsd_dtoa_ctx_fini); ++} ++ ++inline struct dtoa_context *tsd_dtoa_context_get() { ++ pthread_once(&dtoa_ctx_once, tsd_dtoa_ctx_init); // cannot fail ++ struct dtoa_context *ctx = (struct dtoa_context*)pthread_getspecific(dtoa_ctx_key); ++ if (!ctx) { ++ ctx = malloc(sizeof(struct dtoa_context)); ++ jvp_dtoa_context_init(ctx); ++ if (pthread_setspecific(dtoa_ctx_key, ctx) != 0) { ++ fprintf(stderr, "error: cannot set thread specific data"); ++ abort(); ++ } ++ } ++ return ctx; ++} +\ No newline at end of file +diff -Naur a/src/jv_dtoa_tsd.h b/src/jv_dtoa_tsd.h +--- a/src/jv_dtoa_tsd.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/jv_dtoa_tsd.h 2021-09-29 10:19:48.693843701 -0700 +@@ -0,0 +1,4 @@ ++#ifndef JV_DTOA_TSD_H ++#define JV_DTOA_TSD_H ++struct dtoa_context *tsd_dtoa_context_get(); ++#endif +diff -Naur a/src/jv.h b/src/jv.h +--- a/src/jv.h 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/jv.h 2021-09-29 10:19:48.692843695 -0700 +@@ -54,16 +54,19 @@ + jv jv_invalid_get_msg(jv); + int jv_invalid_has_msg(jv); + +- + jv jv_null(void); + jv jv_true(void); + jv jv_false(void); + jv jv_bool(int); + + jv jv_number(double); ++jv jv_number_with_literal(const char*); + double jv_number_value(jv); + int jv_is_integer(jv); + ++int jv_number_has_literal(jv n); ++const char* jv_number_get_literal(jv); ++ + jv jv_array(void); + jv jv_array_sized(int); + int jv_array_length(jv); +diff -Naur a/src/jv_parse.c b/src/jv_parse.c +--- a/src/jv_parse.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/jv_parse.c 2021-09-29 10:19:48.704843762 -0700 +@@ -124,14 +124,19 @@ + + static pfunc value(struct jv_parser* p, jv val) { + if ((p->flags & JV_PARSE_STREAMING)) { +- if (jv_is_valid(p->next) || p->last_seen == JV_LAST_VALUE) ++ if (jv_is_valid(p->next) || p->last_seen == JV_LAST_VALUE) { ++ jv_free(val); + return "Expected separator between values"; ++ } + if (p->stacklen > 0) + p->last_seen = JV_LAST_VALUE; + else + p->last_seen = JV_LAST_NONE; + } else { +- if (jv_is_valid(p->next)) return "Expected separator between values"; ++ if (jv_is_valid(p->next)) { ++ jv_free(val); ++ return "Expected separator between values"; ++ } + } + jv_free(p->next); + p->next = val; +@@ -256,8 +261,12 @@ + break; + + case ':': +- if (p->stacklen == 0 || jv_get_kind(jv_array_get(jv_copy(p->path), p->stacklen - 1)) == JV_KIND_NUMBER) ++ last = jv_invalid(); ++ if (p->stacklen == 0 || jv_get_kind(last = jv_array_get(jv_copy(p->path), p->stacklen - 1)) == JV_KIND_NUMBER) { ++ jv_free(last); + return "':' not as part of an object"; ++ } ++ jv_free(last); + if (!jv_is_valid(p->next) || p->last_seen == JV_LAST_NONE) + return "Expected string key before ':'"; + if (jv_get_kind(p->next) != JV_KIND_STRING) +@@ -492,11 +501,20 @@ + } else { + // FIXME: better parser + p->tokenbuf[p->tokenpos] = 0; +- char* end = 0; ++#ifdef USE_DECNUM ++ jv number = jv_number_with_literal(p->tokenbuf); ++ if (jv_get_kind(number) == JV_KIND_INVALID) { ++ return "Invalid numeric literal"; ++ } ++ TRY(value(p, number)); ++#else ++ char *end = 0; + double d = jvp_strtod(&p->dtoa, p->tokenbuf, &end); +- if (end == 0 || *end != 0) ++ if (end == 0 || *end != 0) { + return "Invalid numeric literal"; ++ } + TRY(value(p, jv_number(d))); ++#endif + } + p->tokenpos = 0; + return 0; +diff -Naur a/src/jv_print.c b/src/jv_print.c +--- a/src/jv_print.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/jv_print.c 2021-09-29 10:19:48.704843762 -0700 +@@ -11,8 +11,10 @@ + + #include "jv.h" + #include "jv_dtoa.h" ++#include "jv_dtoa_tsd.h" + #include "jv_unicode.h" + #include "jv_alloc.h" ++#include "jv_type_private.h" + + #ifndef MAX_PRINT_DEPTH + #define MAX_PRINT_DEPTH (256) +@@ -229,16 +231,29 @@ + put_str("true", F, S, flags & JV_PRINT_ISATTY); + break; + case JV_KIND_NUMBER: { +- double d = jv_number_value(x); +- if (d != d) { +- // JSON doesn't have NaN, so we'll render it as "null" +- put_str("null", F, S, flags & JV_PRINT_ISATTY); ++ if (jvp_number_is_nan(x)) { ++ jv_dump_term(C, jv_null(), flags, indent, F, S); + } else { +- // Normalise infinities to something we can print in valid JSON +- if (d > DBL_MAX) d = DBL_MAX; +- if (d < -DBL_MAX) d = -DBL_MAX; +- put_str(jvp_dtoa_fmt(C, buf, d), F, S, flags & JV_PRINT_ISATTY); ++#ifdef USE_DECNUM ++ const char * literal_data = jv_number_get_literal(x); ++ if (literal_data) { ++ put_str(literal_data, F, S, flags & JV_PRINT_ISATTY); ++ } else { ++#endif ++ double d = jv_number_value(x); ++ if (d != d) { ++ // JSON doesn't have NaN, so we'll render it as "null" ++ put_str("null", F, S, flags & JV_PRINT_ISATTY); ++ } else { ++ // Normalise infinities to something we can print in valid JSON ++ if (d > DBL_MAX) d = DBL_MAX; ++ if (d < -DBL_MAX) d = -DBL_MAX; ++ put_str(jvp_dtoa_fmt(C, buf, d), F, S, flags & JV_PRINT_ISATTY); ++ } ++ } ++#ifdef USE_DECNUM + } ++#endif + break; + } + case JV_KIND_STRING: +@@ -357,10 +372,7 @@ + } + + void jv_dumpf(jv x, FILE *f, int flags) { +- struct dtoa_context C; +- jvp_dtoa_context_init(&C); +- jv_dump_term(&C, x, flags, 0, f, 0); +- jvp_dtoa_context_free(&C); ++ jv_dump_term(tsd_dtoa_context_get(), x, flags, 0, f, 0); + } + + void jv_dump(jv x, int flags) { +@@ -376,11 +388,8 @@ + } + + jv jv_dump_string(jv x, int flags) { +- struct dtoa_context C; +- jvp_dtoa_context_init(&C); + jv s = jv_string(""); +- jv_dump_term(&C, x, flags, 0, 0, &s); +- jvp_dtoa_context_free(&C); ++ jv_dump_term(tsd_dtoa_context_get(), x, flags, 0, 0, &s); + return s; + } + +diff -Naur a/src/jv_type_private.h b/src/jv_type_private.h +--- a/src/jv_type_private.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/jv_type_private.h 2021-09-29 10:19:48.694843706 -0700 +@@ -0,0 +1,7 @@ ++#ifndef JV_TYPE_PRIVATE ++#define JV_TYPE_PRIVATE ++ ++int jvp_number_cmp(jv, jv); ++int jvp_number_is_nan(jv); ++ ++#endif //JV_TYPE_PRIVATE +diff -Naur a/src/parser.c b/src/parser.c +--- a/src/parser.c 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/parser.c 2021-09-29 10:19:48.696843717 -0700 +@@ -1,8 +1,9 @@ +-/* A Bison parser, made by GNU Bison 3.0.4. */ ++/* A Bison parser, made by GNU Bison 3.3.2. */ + + /* Bison implementation for Yacc-like parsers in C + +- Copyright (C) 1984, 1989-1990, 2000-2015 Free Software Foundation, Inc. ++ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2019 Free Software Foundation, ++ Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by +@@ -40,11 +41,14 @@ + define necessary library symbols; they are noted "INFRINGES ON + USER NAME SPACE" below. */ + ++/* Undocumented macros, especially those whose name start with YY_, ++ are private implementation details. Do not rely on them. */ ++ + /* Identify Bison output. */ + #define YYBISON 1 + + /* Bison version. */ +-#define YYBISON_VERSION "3.0.4" ++#define YYBISON_VERSION "3.3.2" + + /* Skeleton name. */ + #define YYSKELETON_NAME "yacc.c" +@@ -61,8 +65,8 @@ + + + +-/* Copy the first part of user declarations. */ +-#line 1 "src/parser.y" /* yacc.c:339 */ ++/* First part of user prologue. */ ++#line 1 "src/parser.y" /* yacc.c:337 */ + + #include + #include +@@ -73,13 +77,16 @@ + #define YYMALLOC jv_mem_alloc + #define YYFREE jv_mem_free + +-#line 77 "src/parser.c" /* yacc.c:339 */ +- ++#line 81 "src/parser.c" /* yacc.c:337 */ + # ifndef YY_NULLPTR +-# if defined __cplusplus && 201103L <= __cplusplus +-# define YY_NULLPTR nullptr ++# if defined __cplusplus ++# if 201103L <= __cplusplus ++# define YY_NULLPTR nullptr ++# else ++# define YY_NULLPTR 0 ++# endif + # else +-# define YY_NULLPTR 0 ++# define YY_NULLPTR ((void*)0) + # endif + # endif + +@@ -103,7 +110,7 @@ + extern int yydebug; + #endif + /* "%code requires" blocks. */ +-#line 11 "src/parser.y" /* yacc.c:355 */ ++#line 11 "src/parser.y" /* yacc.c:352 */ + + #include "locfile.h" + struct lexer_param; +@@ -120,7 +127,7 @@ + } \ + } while (0) + +-#line 124 "src/parser.c" /* yacc.c:355 */ ++#line 131 "src/parser.c" /* yacc.c:352 */ + + /* Token type. */ + #ifndef YYTOKENTYPE +@@ -226,12 +233,12 @@ + + union YYSTYPE + { +-#line 31 "src/parser.y" /* yacc.c:355 */ ++#line 31 "src/parser.y" /* yacc.c:352 */ + + jv literal; + block blk; + +-#line 235 "src/parser.c" /* yacc.c:355 */ ++#line 242 "src/parser.c" /* yacc.c:352 */ + }; + + typedef union YYSTYPE YYSTYPE; +@@ -259,8 +266,8 @@ + + #endif /* !YY_YY_SRC_PARSER_H_INCLUDED */ + +-/* Copy the second part of user declarations. */ +-#line 124 "src/parser.y" /* yacc.c:358 */ ++/* Second part of user prologue. */ ++#line 124 "src/parser.y" /* yacc.c:354 */ + + #include "lexer.h" + struct lexer_param { +@@ -312,7 +319,7 @@ + char errbuf[15]; + return jv_string_fmt("Cannot use %s (%s) as object key", + jv_kind_name(block_const_kind(k)), +- jv_dump_string_trunc(jv_copy(block_const(k)), errbuf, sizeof(errbuf))); ++ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf))); + } + return jv_invalid(); + } +@@ -356,19 +363,25 @@ + jv res = jv_invalid(); + + if (block_const_kind(a) == JV_KIND_NUMBER) { +- double na = jv_number_value(block_const(a)); +- double nb = jv_number_value(block_const(b)); ++ jv jv_a = block_const(a); ++ jv jv_b = block_const(b); ++ ++ double na = jv_number_value(jv_a); ++ double nb = jv_number_value(jv_b); ++ ++ int cmp = jv_cmp(jv_a, jv_b); ++ + switch (op) { + case '+': res = jv_number(na + nb); break; + case '-': res = jv_number(na - nb); break; + case '*': res = jv_number(na * nb); break; + case '/': res = jv_number(na / nb); break; +- case EQ: res = (na == nb ? jv_true() : jv_false()); break; +- case NEQ: res = (na != nb ? jv_true() : jv_false()); break; +- case '<': res = (na < nb ? jv_true() : jv_false()); break; +- case '>': res = (na > nb ? jv_true() : jv_false()); break; +- case LESSEQ: res = (na <= nb ? jv_true() : jv_false()); break; +- case GREATEREQ: res = (na >= nb ? jv_true() : jv_false()); break; ++ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break; ++ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break; ++ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break; ++ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break; ++ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break; ++ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break; + default: break; + } + } else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) { +@@ -434,7 +447,7 @@ + } + + +-#line 438 "src/parser.c" /* yacc.c:358 */ ++#line 451 "src/parser.c" /* yacc.c:354 */ + + #ifdef short + # undef short +@@ -455,13 +468,13 @@ + #ifdef YYTYPE_UINT16 + typedef YYTYPE_UINT16 yytype_uint16; + #else +-typedef unsigned short int yytype_uint16; ++typedef unsigned short yytype_uint16; + #endif + + #ifdef YYTYPE_INT16 + typedef YYTYPE_INT16 yytype_int16; + #else +-typedef short int yytype_int16; ++typedef short yytype_int16; + #endif + + #ifndef YYSIZE_T +@@ -473,7 +486,7 @@ + # include /* INFRINGES ON USER NAME SPACE */ + # define YYSIZE_T size_t + # else +-# define YYSIZE_T unsigned int ++# define YYSIZE_T unsigned + # endif + #endif + +@@ -509,15 +522,6 @@ + # define YY_ATTRIBUTE_UNUSED YY_ATTRIBUTE ((__unused__)) + #endif + +-#if !defined _Noreturn \ +- && (!defined __STDC_VERSION__ || __STDC_VERSION__ < 201112) +-# if defined _MSC_VER && 1200 <= _MSC_VER +-# define _Noreturn __declspec (noreturn) +-# else +-# define _Noreturn YY_ATTRIBUTE ((__noreturn__)) +-# endif +-#endif +- + /* Suppress unused-variable warnings by "using" E. */ + #if ! defined lint || defined __GNUC__ + # define YYUSE(E) ((void) (E)) +@@ -525,7 +529,7 @@ + # define YYUSE(E) /* empty */ + #endif + +-#if defined __GNUC__ && 407 <= __GNUC__ * 100 + __GNUC_MINOR__ ++#if defined __GNUC__ && ! defined __ICC && 407 <= __GNUC__ * 100 + __GNUC_MINOR__ + /* Suppress an incorrect diagnostic about yylval being uninitialized. */ + # define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN \ + _Pragma ("GCC diagnostic push") \ +@@ -689,16 +693,16 @@ + /* YYNSTATES -- Number of states. */ + #define YYNSTATES 313 + +-/* YYTRANSLATE[YYX] -- Symbol number corresponding to YYX as returned +- by yylex, with out-of-bounds checking. */ + #define YYUNDEFTOK 2 + #define YYMAXUTOK 302 + ++/* YYTRANSLATE(TOKEN-NUM) -- Symbol number corresponding to TOKEN-NUM ++ as returned by yylex, with out-of-bounds checking. */ + #define YYTRANSLATE(YYX) \ +- ((unsigned int) (YYX) <= YYMAXUTOK ? yytranslate[YYX] : YYUNDEFTOK) ++ ((unsigned) (YYX) <= YYMAXUTOK ? yytranslate[YYX] : YYUNDEFTOK) + + /* YYTRANSLATE[TOKEN-NUM] -- Symbol number corresponding to TOKEN-NUM +- as returned by yylex, without out-of-bounds checking. */ ++ as returned by yylex. */ + static const yytype_uint8 yytranslate[] = + { + 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, +@@ -1402,22 +1406,22 @@ + + #define YYRECOVERING() (!!yyerrstatus) + +-#define YYBACKUP(Token, Value) \ +-do \ +- if (yychar == YYEMPTY) \ +- { \ +- yychar = (Token); \ +- yylval = (Value); \ +- YYPOPSTACK (yylen); \ +- yystate = *yyssp; \ +- goto yybackup; \ +- } \ +- else \ +- { \ +- yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \ +- YYERROR; \ +- } \ +-while (0) ++#define YYBACKUP(Token, Value) \ ++ do \ ++ if (yychar == YYEMPTY) \ ++ { \ ++ yychar = (Token); \ ++ yylval = (Value); \ ++ YYPOPSTACK (yylen); \ ++ yystate = *yyssp; \ ++ goto yybackup; \ ++ } \ ++ else \ ++ { \ ++ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \ ++ YYERROR; \ ++ } \ ++ while (0) + + /* Error token number */ + #define YYTERROR 1 +@@ -1476,10 +1480,10 @@ + /* Print *YYLOCP on YYO. Private, do not rely on its existence. */ + + YY_ATTRIBUTE_UNUSED +-static unsigned ++static int + yy_location_print_ (FILE *yyo, YYLTYPE const * const yylocp) + { +- unsigned res = 0; ++ int res = 0; + int end_col = 0 != yylocp->last_column ? yylocp->last_column - 1 : 0; + if (0 <= yylocp->first_line) + { +@@ -1522,15 +1526,15 @@ + } while (0) + + +-/*----------------------------------------. +-| Print this symbol's value on YYOUTPUT. | +-`----------------------------------------*/ ++/*-----------------------------------. ++| Print this symbol's value on YYO. | ++`-----------------------------------*/ + + static void +-yy_symbol_value_print (FILE *yyoutput, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++yy_symbol_value_print (FILE *yyo, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) + { +- FILE *yyo = yyoutput; +- YYUSE (yyo); ++ FILE *yyoutput = yyo; ++ YYUSE (yyoutput); + YYUSE (yylocationp); + YYUSE (answer); + YYUSE (errors); +@@ -1540,26 +1544,26 @@ + return; + # ifdef YYPRINT + if (yytype < YYNTOKENS) +- YYPRINT (yyoutput, yytoknum[yytype], *yyvaluep); ++ YYPRINT (yyo, yytoknum[yytype], *yyvaluep); + # endif + YYUSE (yytype); + } + + +-/*--------------------------------. +-| Print this symbol on YYOUTPUT. | +-`--------------------------------*/ ++/*---------------------------. ++| Print this symbol on YYO. | ++`---------------------------*/ + + static void +-yy_symbol_print (FILE *yyoutput, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++yy_symbol_print (FILE *yyo, int yytype, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) + { +- YYFPRINTF (yyoutput, "%s %s (", ++ YYFPRINTF (yyo, "%s %s (", + yytype < YYNTOKENS ? "token" : "nterm", yytname[yytype]); + +- YY_LOCATION_PRINT (yyoutput, *yylocationp); +- YYFPRINTF (yyoutput, ": "); +- yy_symbol_value_print (yyoutput, yytype, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr); +- YYFPRINTF (yyoutput, ")"); ++ YY_LOCATION_PRINT (yyo, *yylocationp); ++ YYFPRINTF (yyo, ": "); ++ yy_symbol_value_print (yyo, yytype, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr); ++ YYFPRINTF (yyo, ")"); + } + + /*------------------------------------------------------------------. +@@ -1593,7 +1597,7 @@ + static void + yy_reduce_print (yytype_int16 *yyssp, YYSTYPE *yyvsp, YYLTYPE *yylsp, int yyrule, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) + { +- unsigned long int yylno = yyrline[yyrule]; ++ unsigned long yylno = yyrline[yyrule]; + int yynrhs = yyr2[yyrule]; + int yyi; + YYFPRINTF (stderr, "Reducing stack by rule %d (line %lu):\n", +@@ -1604,7 +1608,7 @@ + YYFPRINTF (stderr, " $%d = ", yyi + 1); + yy_symbol_print (stderr, + yystos[yyssp[yyi + 1 - yynrhs]], +- &(yyvsp[(yyi + 1) - (yynrhs)]) ++ &yyvsp[(yyi + 1) - (yynrhs)] + , &(yylsp[(yyi + 1) - (yynrhs)]) , answer, errors, locations, lexer_param_ptr); + YYFPRINTF (stderr, "\n"); + } +@@ -1708,7 +1712,10 @@ + case '\\': + if (*++yyp != '\\') + goto do_not_strip_quotes; +- /* Fall through. */ ++ else ++ goto append; ++ ++ append: + default: + if (yyres) + yyres[yyn] = *yyp; +@@ -1726,7 +1733,7 @@ + if (! yyres) + return yystrlen (yystr); + +- return yystpcpy (yyres, yystr) - yyres; ++ return (YYSIZE_T) (yystpcpy (yyres, yystr) - yyres); + } + # endif + +@@ -1804,10 +1811,10 @@ + yyarg[yycount++] = yytname[yyx]; + { + YYSIZE_T yysize1 = yysize + yytnamerr (YY_NULLPTR, yytname[yyx]); +- if (! (yysize <= yysize1 +- && yysize1 <= YYSTACK_ALLOC_MAXIMUM)) ++ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM) ++ yysize = yysize1; ++ else + return 2; +- yysize = yysize1; + } + } + } +@@ -1819,6 +1826,7 @@ + case N: \ + yyformat = S; \ + break ++ default: /* Avoid compiler warnings. */ + YYCASE_(0, YY_("syntax error")); + YYCASE_(1, YY_("syntax error, unexpected %s")); + YYCASE_(2, YY_("syntax error, unexpected %s, expecting %s")); +@@ -1830,9 +1838,10 @@ + + { + YYSIZE_T yysize1 = yysize + yystrlen (yyformat); +- if (! (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM)) ++ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM) ++ yysize = yysize1; ++ else + return 2; +- yysize = yysize1; + } + + if (*yymsg_alloc < yysize) +@@ -2178,23 +2187,31 @@ + yylsp[0] = yylloc; + goto yysetstate; + ++ + /*------------------------------------------------------------. +-| yynewstate -- Push a new state, which is found in yystate. | ++| yynewstate -- push a new state, which is found in yystate. | + `------------------------------------------------------------*/ +- yynewstate: ++yynewstate: + /* In all cases, when you get here, the value and location stacks + have just been pushed. So pushing a state here evens the stacks. */ + yyssp++; + +- yysetstate: +- *yyssp = yystate; ++ ++/*--------------------------------------------------------------------. ++| yynewstate -- set current state (the top of the stack) to yystate. | ++`--------------------------------------------------------------------*/ ++yysetstate: ++ *yyssp = (yytype_int16) yystate; + + if (yyss + yystacksize - 1 <= yyssp) ++#if !defined yyoverflow && !defined YYSTACK_RELOCATE ++ goto yyexhaustedlab; ++#else + { + /* Get the current used size of the three stacks, in elements. */ +- YYSIZE_T yysize = yyssp - yyss + 1; ++ YYSIZE_T yysize = (YYSIZE_T) (yyssp - yyss + 1); + +-#ifdef yyoverflow ++# if defined yyoverflow + { + /* Give user a chance to reallocate the stack. Use copies of + these so that the &'s don't force the real ones into +@@ -2212,15 +2229,11 @@ + &yyvs1, yysize * sizeof (*yyvsp), + &yyls1, yysize * sizeof (*yylsp), + &yystacksize); +- +- yyls = yyls1; + yyss = yyss1; + yyvs = yyvs1; ++ yyls = yyls1; + } +-#else /* no yyoverflow */ +-# ifndef YYSTACK_RELOCATE +- goto yyexhaustedlab; +-# else ++# else /* defined YYSTACK_RELOCATE */ + /* Extend the stack our own way. */ + if (YYMAXDEPTH <= yystacksize) + goto yyexhaustedlab; +@@ -2237,23 +2250,23 @@ + YYSTACK_RELOCATE (yyss_alloc, yyss); + YYSTACK_RELOCATE (yyvs_alloc, yyvs); + YYSTACK_RELOCATE (yyls_alloc, yyls); +-# undef YYSTACK_RELOCATE ++# undef YYSTACK_RELOCATE + if (yyss1 != yyssa) + YYSTACK_FREE (yyss1); + } + # endif +-#endif /* no yyoverflow */ + + yyssp = yyss + yysize - 1; + yyvsp = yyvs + yysize - 1; + yylsp = yyls + yysize - 1; + + YYDPRINTF ((stderr, "Stack size increased to %lu\n", +- (unsigned long int) yystacksize)); ++ (unsigned long) yystacksize)); + + if (yyss + yystacksize - 1 <= yyssp) + YYABORT; + } ++#endif /* !defined yyoverflow && !defined YYSTACK_RELOCATE */ + + YYDPRINTF ((stderr, "Entering state %d\n", yystate)); + +@@ -2262,11 +2275,11 @@ + + goto yybackup; + ++ + /*-----------. + | yybackup. | + `-----------*/ + yybackup: +- + /* Do appropriate processing given the current state. Read a + lookahead token if we need one and don't already have one. */ + +@@ -2339,7 +2352,7 @@ + + + /*-----------------------------. +-| yyreduce -- Do a reduction. | ++| yyreduce -- do a reduction. | + `-----------------------------*/ + yyreduce: + /* yyn is the number of a rule to reduce with. */ +@@ -3753,14 +3766,13 @@ + /* Now 'shift' the result of the reduction. Determine what state + that goes to, based on the state we popped back to and the rule + number reduced by. */ +- +- yyn = yyr1[yyn]; +- +- yystate = yypgoto[yyn - YYNTOKENS] + *yyssp; +- if (0 <= yystate && yystate <= YYLAST && yycheck[yystate] == *yyssp) +- yystate = yytable[yystate]; +- else +- yystate = yydefgoto[yyn - YYNTOKENS]; ++ { ++ const int yylhs = yyr1[yyn] - YYNTOKENS; ++ const int yyi = yypgoto[yylhs] + *yyssp; ++ yystate = (0 <= yyi && yyi <= YYLAST && yycheck[yyi] == *yyssp ++ ? yytable[yyi] ++ : yydefgoto[yylhs]); ++ } + + goto yynewstate; + +@@ -3843,14 +3855,11 @@ + | yyerrorlab -- error raised explicitly by YYERROR. | + `---------------------------------------------------*/ + yyerrorlab: ++ /* Pacify compilers when the user code never invokes YYERROR and the ++ label yyerrorlab therefore never appears in user code. */ ++ if (0) ++ YYERROR; + +- /* Pacify compilers like GCC when the user code never invokes +- YYERROR and the label yyerrorlab therefore never appears in user +- code. */ +- if (/*CONSTCOND*/ 0) +- goto yyerrorlab; +- +- yyerror_range[1] = yylsp[1-yylen]; + /* Do not reclaim the symbols of the rule whose action triggered + this YYERROR. */ + YYPOPSTACK (yylen); +@@ -3916,6 +3925,7 @@ + yyresult = 0; + goto yyreturn; + ++ + /*-----------------------------------. + | yyabortlab -- YYABORT comes here. | + `-----------------------------------*/ +@@ -3923,6 +3933,7 @@ + yyresult = 1; + goto yyreturn; + ++ + #if !defined yyoverflow || YYERROR_VERBOSE + /*-------------------------------------------------. + | yyexhaustedlab -- memory exhaustion comes here. | +@@ -3933,6 +3944,10 @@ + /* Fall through. */ + #endif + ++ ++/*-----------------------------------------------------. ++| yyreturn -- parsing is finished, return the result. | ++`-----------------------------------------------------*/ + yyreturn: + if (yychar != YYEMPTY) + { +diff -Naur a/src/parser.h b/src/parser.h +--- a/src/parser.h 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/parser.h 2021-09-29 10:19:48.696843717 -0700 +@@ -1,8 +1,9 @@ +-/* A Bison parser, made by GNU Bison 3.0.4. */ ++/* A Bison parser, made by GNU Bison 3.3.2. */ + + /* Bison interface for Yacc-like parsers in C + +- Copyright (C) 1984, 1989-1990, 2000-2015 Free Software Foundation, Inc. ++ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2019 Free Software Foundation, ++ Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by +@@ -30,6 +31,9 @@ + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + ++/* Undocumented macros, especially those whose name start with YY_, ++ are private implementation details. Do not rely on them. */ ++ + #ifndef YY_YY_SRC_PARSER_H_INCLUDED + # define YY_YY_SRC_PARSER_H_INCLUDED + /* Debug traces. */ +@@ -40,7 +44,7 @@ + extern int yydebug; + #endif + /* "%code requires" blocks. */ +-#line 11 "src/parser.y" /* yacc.c:1909 */ ++#line 11 "src/parser.y" /* yacc.c:1927 */ + + #include "locfile.h" + struct lexer_param; +@@ -57,7 +61,7 @@ + } \ + } while (0) + +-#line 61 "src/parser.h" /* yacc.c:1909 */ ++#line 65 "src/parser.h" /* yacc.c:1927 */ + + /* Token type. */ + #ifndef YYTOKENTYPE +@@ -163,12 +167,12 @@ + + union YYSTYPE + { +-#line 31 "src/parser.y" /* yacc.c:1909 */ ++#line 31 "src/parser.y" /* yacc.c:1927 */ + + jv literal; + block blk; + +-#line 172 "src/parser.h" /* yacc.c:1909 */ ++#line 176 "src/parser.h" /* yacc.c:1927 */ + }; + + typedef union YYSTYPE YYSTYPE; +diff -Naur a/src/parser.y b/src/parser.y +--- a/src/parser.y 2018-11-01 18:49:29.000000000 -0700 ++++ b/src/parser.y 2021-09-29 10:19:48.697843723 -0700 +@@ -172,7 +172,7 @@ + char errbuf[15]; + return jv_string_fmt("Cannot use %s (%s) as object key", + jv_kind_name(block_const_kind(k)), +- jv_dump_string_trunc(jv_copy(block_const(k)), errbuf, sizeof(errbuf))); ++ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf))); + } + return jv_invalid(); + } +@@ -216,19 +216,25 @@ + jv res = jv_invalid(); + + if (block_const_kind(a) == JV_KIND_NUMBER) { +- double na = jv_number_value(block_const(a)); +- double nb = jv_number_value(block_const(b)); ++ jv jv_a = block_const(a); ++ jv jv_b = block_const(b); ++ ++ double na = jv_number_value(jv_a); ++ double nb = jv_number_value(jv_b); ++ ++ int cmp = jv_cmp(jv_a, jv_b); ++ + switch (op) { + case '+': res = jv_number(na + nb); break; + case '-': res = jv_number(na - nb); break; + case '*': res = jv_number(na * nb); break; + case '/': res = jv_number(na / nb); break; +- case EQ: res = (na == nb ? jv_true() : jv_false()); break; +- case NEQ: res = (na != nb ? jv_true() : jv_false()); break; +- case '<': res = (na < nb ? jv_true() : jv_false()); break; +- case '>': res = (na > nb ? jv_true() : jv_false()); break; +- case LESSEQ: res = (na <= nb ? jv_true() : jv_false()); break; +- case GREATEREQ: res = (na >= nb ? jv_true() : jv_false()); break; ++ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break; ++ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break; ++ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break; ++ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break; ++ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break; ++ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break; + default: break; + } + } else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) { +diff -Naur a/src/y.tab.c b/src/y.tab.c +--- a/src/y.tab.c 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/y.tab.c 2021-09-29 10:27:07.828282081 -0700 +@@ -0,0 +1,4265 @@ ++/* A Bison parser, made by GNU Bison 3.7.4. */ ++ ++/* Bison implementation for Yacc-like parsers in C ++ ++ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2020 Free Software Foundation, ++ Inc. ++ ++ This program is free software: you can redistribute it and/or modify ++ it under the terms of the GNU General Public License as published by ++ the Free Software Foundation, either version 3 of the License, or ++ (at your option) any later version. ++ ++ This program is distributed in the hope that it will be useful, ++ but WITHOUT ANY WARRANTY; without even the implied warranty of ++ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ++ GNU General Public License for more details. ++ ++ You should have received a copy of the GNU General Public License ++ along with this program. If not, see . */ ++ ++/* As a special exception, you may create a larger work that contains ++ part or all of the Bison parser skeleton and distribute that work ++ under terms of your choice, so long as that work isn't itself a ++ parser generator using the skeleton or a modified version thereof ++ as a parser skeleton. Alternatively, if you modify or redistribute ++ the parser skeleton itself, you may (at your option) remove this ++ special exception, which will cause the skeleton and the resulting ++ Bison output files to be licensed under the GNU General Public ++ License without this special exception. ++ ++ This special exception was added by the Free Software Foundation in ++ version 2.2 of Bison. */ ++ ++/* C LALR(1) parser skeleton written by Richard Stallman, by ++ simplifying the original so-called "semantic" parser. */ ++ ++/* DO NOT RELY ON FEATURES THAT ARE NOT DOCUMENTED in the manual, ++ especially those whose name start with YY_ or yy_. They are ++ private implementation details that can be changed or removed. */ ++ ++/* All symbols defined below should begin with yy or YY, to avoid ++ infringing on user name space. This should be done even for local ++ variables, as they might otherwise be expanded by user macros. ++ There are some unavoidable exceptions within include files to ++ define necessary library symbols; they are noted "INFRINGES ON ++ USER NAME SPACE" below. */ ++ ++/* Identify Bison output, and Bison version. */ ++#define YYBISON 30704 ++ ++/* Bison version string. */ ++#define YYBISON_VERSION "3.7.4" ++ ++/* Skeleton name. */ ++#define YYSKELETON_NAME "yacc.c" ++ ++/* Pure parsers. */ ++#define YYPURE 1 ++ ++/* Push parsers. */ ++#define YYPUSH 0 ++ ++/* Pull parsers. */ ++#define YYPULL 1 ++ ++ ++ ++ ++/* First part of user prologue. */ ++#line 1 "parser.y" ++ ++#include ++#include ++#include ++#include ++#include "compile.h" ++#include "jv_alloc.h" ++#define YYMALLOC jv_mem_alloc ++#define YYFREE jv_mem_free ++ ++#line 82 "y.tab.c" ++ ++# ifndef YY_CAST ++# ifdef __cplusplus ++# define YY_CAST(Type, Val) static_cast (Val) ++# define YY_REINTERPRET_CAST(Type, Val) reinterpret_cast (Val) ++# else ++# define YY_CAST(Type, Val) ((Type) (Val)) ++# define YY_REINTERPRET_CAST(Type, Val) ((Type) (Val)) ++# endif ++# endif ++# ifndef YY_NULLPTR ++# if defined __cplusplus ++# if 201103L <= __cplusplus ++# define YY_NULLPTR nullptr ++# else ++# define YY_NULLPTR 0 ++# endif ++# else ++# define YY_NULLPTR ((void*)0) ++# endif ++# endif ++ ++/* Use api.header.include to #include this header ++ instead of duplicating it here. */ ++#ifndef YY_YY_Y_TAB_H_INCLUDED ++# define YY_YY_Y_TAB_H_INCLUDED ++/* Debug traces. */ ++#ifndef YYDEBUG ++# define YYDEBUG 0 ++#endif ++#if YYDEBUG ++extern int yydebug; ++#endif ++/* "%code requires" blocks. */ ++#line 11 "parser.y" ++ ++#include "locfile.h" ++struct lexer_param; ++ ++#define YYLTYPE location ++#define YYLLOC_DEFAULT(Loc, Rhs, N) \ ++ do { \ ++ if (N) { \ ++ (Loc).start = YYRHSLOC(Rhs, 1).start; \ ++ (Loc).end = YYRHSLOC(Rhs, N).end; \ ++ } else { \ ++ (Loc).start = YYRHSLOC(Rhs, 0).end; \ ++ (Loc).end = YYRHSLOC(Rhs, 0).end; \ ++ } \ ++ } while (0) ++ ++#line 134 "y.tab.c" ++ ++/* Token kinds. */ ++#ifndef YYTOKENTYPE ++# define YYTOKENTYPE ++ enum yytokentype ++ { ++ YYEMPTY = -2, ++ YYEOF = 0, /* "end of file" */ ++ YYerror = 256, /* error */ ++ YYUNDEF = 257, /* "invalid token" */ ++ INVALID_CHARACTER = 258, /* INVALID_CHARACTER */ ++ IDENT = 259, /* IDENT */ ++ FIELD = 260, /* FIELD */ ++ LITERAL = 261, /* LITERAL */ ++ FORMAT = 262, /* FORMAT */ ++ REC = 263, /* ".." */ ++ SETMOD = 264, /* "%=" */ ++ EQ = 265, /* "==" */ ++ NEQ = 266, /* "!=" */ ++ DEFINEDOR = 267, /* "//" */ ++ AS = 268, /* "as" */ ++ DEF = 269, /* "def" */ ++ MODULE = 270, /* "module" */ ++ IMPORT = 271, /* "import" */ ++ INCLUDE = 272, /* "include" */ ++ IF = 273, /* "if" */ ++ THEN = 274, /* "then" */ ++ ELSE = 275, /* "else" */ ++ ELSE_IF = 276, /* "elif" */ ++ REDUCE = 277, /* "reduce" */ ++ FOREACH = 278, /* "foreach" */ ++ END = 279, /* "end" */ ++ AND = 280, /* "and" */ ++ OR = 281, /* "or" */ ++ TRY = 282, /* "try" */ ++ CATCH = 283, /* "catch" */ ++ LABEL = 284, /* "label" */ ++ BREAK = 285, /* "break" */ ++ LOC = 286, /* "__loc__" */ ++ SETPIPE = 287, /* "|=" */ ++ SETPLUS = 288, /* "+=" */ ++ SETMINUS = 289, /* "-=" */ ++ SETMULT = 290, /* "*=" */ ++ SETDIV = 291, /* "/=" */ ++ SETDEFINEDOR = 292, /* "//=" */ ++ LESSEQ = 293, /* "<=" */ ++ GREATEREQ = 294, /* ">=" */ ++ ALTERNATION = 295, /* "?//" */ ++ QQSTRING_START = 296, /* QQSTRING_START */ ++ QQSTRING_TEXT = 297, /* QQSTRING_TEXT */ ++ QQSTRING_INTERP_START = 298, /* QQSTRING_INTERP_START */ ++ QQSTRING_INTERP_END = 299, /* QQSTRING_INTERP_END */ ++ QQSTRING_END = 300, /* QQSTRING_END */ ++ FUNCDEF = 301, /* FUNCDEF */ ++ NONOPT = 302 /* NONOPT */ ++ }; ++ typedef enum yytokentype yytoken_kind_t; ++#endif ++/* Token kinds. */ ++#define YYEMPTY -2 ++#define YYEOF 0 ++#define YYerror 256 ++#define YYUNDEF 257 ++#define INVALID_CHARACTER 258 ++#define IDENT 259 ++#define FIELD 260 ++#define LITERAL 261 ++#define FORMAT 262 ++#define REC 263 ++#define SETMOD 264 ++#define EQ 265 ++#define NEQ 266 ++#define DEFINEDOR 267 ++#define AS 268 ++#define DEF 269 ++#define MODULE 270 ++#define IMPORT 271 ++#define INCLUDE 272 ++#define IF 273 ++#define THEN 274 ++#define ELSE 275 ++#define ELSE_IF 276 ++#define REDUCE 277 ++#define FOREACH 278 ++#define END 279 ++#define AND 280 ++#define OR 281 ++#define TRY 282 ++#define CATCH 283 ++#define LABEL 284 ++#define BREAK 285 ++#define LOC 286 ++#define SETPIPE 287 ++#define SETPLUS 288 ++#define SETMINUS 289 ++#define SETMULT 290 ++#define SETDIV 291 ++#define SETDEFINEDOR 292 ++#define LESSEQ 293 ++#define GREATEREQ 294 ++#define ALTERNATION 295 ++#define QQSTRING_START 296 ++#define QQSTRING_TEXT 297 ++#define QQSTRING_INTERP_START 298 ++#define QQSTRING_INTERP_END 299 ++#define QQSTRING_END 300 ++#define FUNCDEF 301 ++#define NONOPT 302 ++ ++/* Value type. */ ++#if ! defined YYSTYPE && ! defined YYSTYPE_IS_DECLARED ++union YYSTYPE ++{ ++#line 31 "parser.y" ++ ++ jv literal; ++ block blk; ++ ++#line 253 "y.tab.c" ++ ++}; ++typedef union YYSTYPE YYSTYPE; ++# define YYSTYPE_IS_TRIVIAL 1 ++# define YYSTYPE_IS_DECLARED 1 ++#endif ++ ++/* Location type. */ ++#if ! defined YYLTYPE && ! defined YYLTYPE_IS_DECLARED ++typedef struct YYLTYPE YYLTYPE; ++struct YYLTYPE ++{ ++ int first_line; ++ int first_column; ++ int last_line; ++ int last_column; ++}; ++# define YYLTYPE_IS_DECLARED 1 ++# define YYLTYPE_IS_TRIVIAL 1 ++#endif ++ ++ ++ ++int yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr); ++ ++#endif /* !YY_YY_Y_TAB_H_INCLUDED */ ++/* Symbol kind. */ ++enum yysymbol_kind_t ++{ ++ YYSYMBOL_YYEMPTY = -2, ++ YYSYMBOL_YYEOF = 0, /* "end of file" */ ++ YYSYMBOL_YYerror = 1, /* error */ ++ YYSYMBOL_YYUNDEF = 2, /* "invalid token" */ ++ YYSYMBOL_INVALID_CHARACTER = 3, /* INVALID_CHARACTER */ ++ YYSYMBOL_IDENT = 4, /* IDENT */ ++ YYSYMBOL_FIELD = 5, /* FIELD */ ++ YYSYMBOL_LITERAL = 6, /* LITERAL */ ++ YYSYMBOL_FORMAT = 7, /* FORMAT */ ++ YYSYMBOL_REC = 8, /* ".." */ ++ YYSYMBOL_SETMOD = 9, /* "%=" */ ++ YYSYMBOL_EQ = 10, /* "==" */ ++ YYSYMBOL_NEQ = 11, /* "!=" */ ++ YYSYMBOL_DEFINEDOR = 12, /* "//" */ ++ YYSYMBOL_AS = 13, /* "as" */ ++ YYSYMBOL_DEF = 14, /* "def" */ ++ YYSYMBOL_MODULE = 15, /* "module" */ ++ YYSYMBOL_IMPORT = 16, /* "import" */ ++ YYSYMBOL_INCLUDE = 17, /* "include" */ ++ YYSYMBOL_IF = 18, /* "if" */ ++ YYSYMBOL_THEN = 19, /* "then" */ ++ YYSYMBOL_ELSE = 20, /* "else" */ ++ YYSYMBOL_ELSE_IF = 21, /* "elif" */ ++ YYSYMBOL_REDUCE = 22, /* "reduce" */ ++ YYSYMBOL_FOREACH = 23, /* "foreach" */ ++ YYSYMBOL_END = 24, /* "end" */ ++ YYSYMBOL_AND = 25, /* "and" */ ++ YYSYMBOL_OR = 26, /* "or" */ ++ YYSYMBOL_TRY = 27, /* "try" */ ++ YYSYMBOL_CATCH = 28, /* "catch" */ ++ YYSYMBOL_LABEL = 29, /* "label" */ ++ YYSYMBOL_BREAK = 30, /* "break" */ ++ YYSYMBOL_LOC = 31, /* "__loc__" */ ++ YYSYMBOL_SETPIPE = 32, /* "|=" */ ++ YYSYMBOL_SETPLUS = 33, /* "+=" */ ++ YYSYMBOL_SETMINUS = 34, /* "-=" */ ++ YYSYMBOL_SETMULT = 35, /* "*=" */ ++ YYSYMBOL_SETDIV = 36, /* "/=" */ ++ YYSYMBOL_SETDEFINEDOR = 37, /* "//=" */ ++ YYSYMBOL_LESSEQ = 38, /* "<=" */ ++ YYSYMBOL_GREATEREQ = 39, /* ">=" */ ++ YYSYMBOL_ALTERNATION = 40, /* "?//" */ ++ YYSYMBOL_QQSTRING_START = 41, /* QQSTRING_START */ ++ YYSYMBOL_QQSTRING_TEXT = 42, /* QQSTRING_TEXT */ ++ YYSYMBOL_QQSTRING_INTERP_START = 43, /* QQSTRING_INTERP_START */ ++ YYSYMBOL_QQSTRING_INTERP_END = 44, /* QQSTRING_INTERP_END */ ++ YYSYMBOL_QQSTRING_END = 45, /* QQSTRING_END */ ++ YYSYMBOL_FUNCDEF = 46, /* FUNCDEF */ ++ YYSYMBOL_47_ = 47, /* '|' */ ++ YYSYMBOL_48_ = 48, /* ',' */ ++ YYSYMBOL_49_ = 49, /* '=' */ ++ YYSYMBOL_50_ = 50, /* '<' */ ++ YYSYMBOL_51_ = 51, /* '>' */ ++ YYSYMBOL_52_ = 52, /* '+' */ ++ YYSYMBOL_53_ = 53, /* '-' */ ++ YYSYMBOL_54_ = 54, /* '*' */ ++ YYSYMBOL_55_ = 55, /* '/' */ ++ YYSYMBOL_56_ = 56, /* '%' */ ++ YYSYMBOL_NONOPT = 57, /* NONOPT */ ++ YYSYMBOL_58_ = 58, /* '?' */ ++ YYSYMBOL_59_ = 59, /* ';' */ ++ YYSYMBOL_60_ = 60, /* '(' */ ++ YYSYMBOL_61_ = 61, /* ')' */ ++ YYSYMBOL_62_ = 62, /* '$' */ ++ YYSYMBOL_63_ = 63, /* ':' */ ++ YYSYMBOL_64_ = 64, /* '.' */ ++ YYSYMBOL_65_ = 65, /* '[' */ ++ YYSYMBOL_66_ = 66, /* ']' */ ++ YYSYMBOL_67_ = 67, /* '{' */ ++ YYSYMBOL_68_ = 68, /* '}' */ ++ YYSYMBOL_YYACCEPT = 69, /* $accept */ ++ YYSYMBOL_TopLevel = 70, /* TopLevel */ ++ YYSYMBOL_Module = 71, /* Module */ ++ YYSYMBOL_Imports = 72, /* Imports */ ++ YYSYMBOL_FuncDefs = 73, /* FuncDefs */ ++ YYSYMBOL_Exp = 74, /* Exp */ ++ YYSYMBOL_Import = 75, /* Import */ ++ YYSYMBOL_ImportWhat = 76, /* ImportWhat */ ++ YYSYMBOL_ImportFrom = 77, /* ImportFrom */ ++ YYSYMBOL_FuncDef = 78, /* FuncDef */ ++ YYSYMBOL_Params = 79, /* Params */ ++ YYSYMBOL_Param = 80, /* Param */ ++ YYSYMBOL_String = 81, /* String */ ++ YYSYMBOL_82_1 = 82, /* @1 */ ++ YYSYMBOL_83_2 = 83, /* @2 */ ++ YYSYMBOL_QQString = 84, /* QQString */ ++ YYSYMBOL_ElseBody = 85, /* ElseBody */ ++ YYSYMBOL_ExpD = 86, /* ExpD */ ++ YYSYMBOL_Term = 87, /* Term */ ++ YYSYMBOL_Args = 88, /* Args */ ++ YYSYMBOL_Arg = 89, /* Arg */ ++ YYSYMBOL_RepPatterns = 90, /* RepPatterns */ ++ YYSYMBOL_Patterns = 91, /* Patterns */ ++ YYSYMBOL_Pattern = 92, /* Pattern */ ++ YYSYMBOL_ArrayPats = 93, /* ArrayPats */ ++ YYSYMBOL_ObjPats = 94, /* ObjPats */ ++ YYSYMBOL_ObjPat = 95, /* ObjPat */ ++ YYSYMBOL_Keyword = 96, /* Keyword */ ++ YYSYMBOL_MkDict = 97, /* MkDict */ ++ YYSYMBOL_MkDictPair = 98 /* MkDictPair */ ++}; ++typedef enum yysymbol_kind_t yysymbol_kind_t; ++ ++ ++/* Second part of user prologue. */ ++#line 124 "parser.y" ++ ++#include "lexer.h" ++struct lexer_param { ++ yyscan_t lexer; ++}; ++#define FAIL(loc, msg) \ ++ do { \ ++ location l = loc; \ ++ yyerror(&l, answer, errors, locations, lexer_param_ptr, msg); \ ++ /*YYERROR*/; \ ++ } while (0) ++ ++void yyerror(YYLTYPE* loc, block* answer, int* errors, ++ struct locfile* locations, struct lexer_param* lexer_param_ptr, const char *s){ ++ (*errors)++; ++ if (strstr(s, "unexpected")) { ++#ifdef WIN32 ++ locfile_locate(locations, *loc, "jq: error: %s (Windows cmd shell quoting issues?)", s); ++#else ++ locfile_locate(locations, *loc, "jq: error: %s (Unix shell quoting issues?)", s); ++#endif ++ } else { ++ locfile_locate(locations, *loc, "jq: error: %s", s); ++ } ++} ++ ++int yylex(YYSTYPE* yylval, YYLTYPE* yylloc, block* answer, int* errors, ++ struct locfile* locations, struct lexer_param* lexer_param_ptr) { ++ yyscan_t lexer = lexer_param_ptr->lexer; ++ int tok = jq_yylex(yylval, yylloc, lexer); ++ if ((tok == LITERAL || tok == QQSTRING_TEXT) && !jv_is_valid(yylval->literal)) { ++ jv msg = jv_invalid_get_msg(jv_copy(yylval->literal)); ++ if (jv_get_kind(msg) == JV_KIND_STRING) { ++ FAIL(*yylloc, jv_string_value(msg)); ++ } else { ++ FAIL(*yylloc, "Invalid literal"); ++ } ++ jv_free(msg); ++ jv_free(yylval->literal); ++ yylval->literal = jv_null(); ++ } ++ return tok; ++} ++ ++/* Returns string message if the block is a constant that is not valid as an ++ * object key. */ ++static jv check_object_key(block k) { ++ if (block_is_const(k) && block_const_kind(k) != JV_KIND_STRING) { ++ char errbuf[15]; ++ return jv_string_fmt("Cannot use %s (%s) as object key", ++ jv_kind_name(block_const_kind(k)), ++ jv_dump_string_trunc(block_const(k), errbuf, sizeof(errbuf))); ++ } ++ return jv_invalid(); ++} ++ ++static block gen_index(block obj, block key) { ++ return BLOCK(gen_subexp(key), obj, gen_op_simple(INDEX)); ++} ++ ++static block gen_index_opt(block obj, block key) { ++ return BLOCK(gen_subexp(key), obj, gen_op_simple(INDEX_OPT)); ++} ++ ++static block gen_slice_index(block obj, block start, block end, opcode idx_op) { ++ block key = BLOCK(gen_subexp(gen_const(jv_object())), ++ gen_subexp(gen_const(jv_string("start"))), ++ gen_subexp(start), ++ gen_op_simple(INSERT), ++ gen_subexp(gen_const(jv_string("end"))), ++ gen_subexp(end), ++ gen_op_simple(INSERT)); ++ return BLOCK(key, obj, gen_op_simple(idx_op)); ++} ++ ++static block constant_fold(block a, block b, int op) { ++ if (!block_is_single(a) || !block_is_const(a) || ++ !block_is_single(b) || !block_is_const(b)) ++ return gen_noop(); ++ if (op == '+') { ++ if (block_const_kind(a) == JV_KIND_NULL) { ++ block_free(a); ++ return b; ++ } ++ if (block_const_kind(b) == JV_KIND_NULL) { ++ block_free(b); ++ return a; ++ } ++ } ++ if (block_const_kind(a) != block_const_kind(b)) ++ return gen_noop(); ++ ++ jv res = jv_invalid(); ++ ++ if (block_const_kind(a) == JV_KIND_NUMBER) { ++ jv jv_a = block_const(a); ++ jv jv_b = block_const(b); ++ ++ double na = jv_number_value(jv_a); ++ double nb = jv_number_value(jv_b); ++ ++ int cmp = jv_cmp(jv_a, jv_b); ++ ++ switch (op) { ++ case '+': res = jv_number(na + nb); break; ++ case '-': res = jv_number(na - nb); break; ++ case '*': res = jv_number(na * nb); break; ++ case '/': res = jv_number(na / nb); break; ++ case EQ: res = (cmp == 0 ? jv_true() : jv_false()); break; ++ case NEQ: res = (cmp != 0 ? jv_true() : jv_false()); break; ++ case '<': res = (cmp < 0 ? jv_true() : jv_false()); break; ++ case '>': res = (cmp > 0 ? jv_true() : jv_false()); break; ++ case LESSEQ: res = (cmp <= 0 ? jv_true() : jv_false()); break; ++ case GREATEREQ: res = (cmp >= 0 ? jv_true() : jv_false()); break; ++ default: break; ++ } ++ } else if (op == '+' && block_const_kind(a) == JV_KIND_STRING) { ++ res = jv_string_concat(block_const(a), block_const(b)); ++ } else { ++ return gen_noop(); ++ } ++ ++ if (jv_get_kind(res) == JV_KIND_INVALID) ++ return gen_noop(); ++ ++ block_free(a); ++ block_free(b); ++ return gen_const(res); ++} ++ ++static block gen_binop(block a, block b, int op) { ++ block folded = constant_fold(a, b, op); ++ if (!block_is_noop(folded)) ++ return folded; ++ ++ const char* funcname = 0; ++ switch (op) { ++ case '+': funcname = "_plus"; break; ++ case '-': funcname = "_minus"; break; ++ case '*': funcname = "_multiply"; break; ++ case '/': funcname = "_divide"; break; ++ case '%': funcname = "_mod"; break; ++ case EQ: funcname = "_equal"; break; ++ case NEQ: funcname = "_notequal"; break; ++ case '<': funcname = "_less"; break; ++ case '>': funcname = "_greater"; break; ++ case LESSEQ: funcname = "_lesseq"; break; ++ case GREATEREQ: funcname = "_greatereq"; break; ++ } ++ assert(funcname); ++ ++ return gen_call(funcname, BLOCK(gen_lambda(a), gen_lambda(b))); ++} ++ ++static block gen_format(block a, jv fmt) { ++ return BLOCK(a, gen_call("format", gen_lambda(gen_const(fmt)))); ++} ++ ++static block gen_definedor_assign(block object, block val) { ++ block tmp = gen_op_var_fresh(STOREV, "tmp"); ++ return BLOCK(gen_op_simple(DUP), ++ val, tmp, ++ gen_call("_modify", BLOCK(gen_lambda(object), ++ gen_lambda(gen_definedor(gen_noop(), ++ gen_op_bound(LOADV, tmp)))))); ++} ++ ++static block gen_update(block object, block val, int optype) { ++ block tmp = gen_op_var_fresh(STOREV, "tmp"); ++ return BLOCK(gen_op_simple(DUP), ++ val, ++ tmp, ++ gen_call("_modify", BLOCK(gen_lambda(object), ++ gen_lambda(gen_binop(gen_noop(), ++ gen_op_bound(LOADV, tmp), ++ optype))))); ++} ++ ++ ++#line 568 "y.tab.c" ++ ++ ++#ifdef short ++# undef short ++#endif ++ ++/* On compilers that do not define __PTRDIFF_MAX__ etc., make sure ++ and (if available) are included ++ so that the code can choose integer types of a good width. */ ++ ++#ifndef __PTRDIFF_MAX__ ++# include /* INFRINGES ON USER NAME SPACE */ ++# if defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__ ++# include /* INFRINGES ON USER NAME SPACE */ ++# define YY_STDINT_H ++# endif ++#endif ++ ++/* Narrow types that promote to a signed type and that can represent a ++ signed or unsigned integer of at least N bits. In tables they can ++ save space and decrease cache pressure. Promoting to a signed type ++ helps avoid bugs in integer arithmetic. */ ++ ++#ifdef __INT_LEAST8_MAX__ ++typedef __INT_LEAST8_TYPE__ yytype_int8; ++#elif defined YY_STDINT_H ++typedef int_least8_t yytype_int8; ++#else ++typedef signed char yytype_int8; ++#endif ++ ++#ifdef __INT_LEAST16_MAX__ ++typedef __INT_LEAST16_TYPE__ yytype_int16; ++#elif defined YY_STDINT_H ++typedef int_least16_t yytype_int16; ++#else ++typedef short yytype_int16; ++#endif ++ ++#if defined __UINT_LEAST8_MAX__ && __UINT_LEAST8_MAX__ <= __INT_MAX__ ++typedef __UINT_LEAST8_TYPE__ yytype_uint8; ++#elif (!defined __UINT_LEAST8_MAX__ && defined YY_STDINT_H \ ++ && UINT_LEAST8_MAX <= INT_MAX) ++typedef uint_least8_t yytype_uint8; ++#elif !defined __UINT_LEAST8_MAX__ && UCHAR_MAX <= INT_MAX ++typedef unsigned char yytype_uint8; ++#else ++typedef short yytype_uint8; ++#endif ++ ++#if defined __UINT_LEAST16_MAX__ && __UINT_LEAST16_MAX__ <= __INT_MAX__ ++typedef __UINT_LEAST16_TYPE__ yytype_uint16; ++#elif (!defined __UINT_LEAST16_MAX__ && defined YY_STDINT_H \ ++ && UINT_LEAST16_MAX <= INT_MAX) ++typedef uint_least16_t yytype_uint16; ++#elif !defined __UINT_LEAST16_MAX__ && USHRT_MAX <= INT_MAX ++typedef unsigned short yytype_uint16; ++#else ++typedef int yytype_uint16; ++#endif ++ ++#ifndef YYPTRDIFF_T ++# if defined __PTRDIFF_TYPE__ && defined __PTRDIFF_MAX__ ++# define YYPTRDIFF_T __PTRDIFF_TYPE__ ++# define YYPTRDIFF_MAXIMUM __PTRDIFF_MAX__ ++# elif defined PTRDIFF_MAX ++# ifndef ptrdiff_t ++# include /* INFRINGES ON USER NAME SPACE */ ++# endif ++# define YYPTRDIFF_T ptrdiff_t ++# define YYPTRDIFF_MAXIMUM PTRDIFF_MAX ++# else ++# define YYPTRDIFF_T long ++# define YYPTRDIFF_MAXIMUM LONG_MAX ++# endif ++#endif ++ ++#ifndef YYSIZE_T ++# ifdef __SIZE_TYPE__ ++# define YYSIZE_T __SIZE_TYPE__ ++# elif defined size_t ++# define YYSIZE_T size_t ++# elif defined __STDC_VERSION__ && 199901 <= __STDC_VERSION__ ++# include /* INFRINGES ON USER NAME SPACE */ ++# define YYSIZE_T size_t ++# else ++# define YYSIZE_T unsigned ++# endif ++#endif ++ ++#define YYSIZE_MAXIMUM \ ++ YY_CAST (YYPTRDIFF_T, \ ++ (YYPTRDIFF_MAXIMUM < YY_CAST (YYSIZE_T, -1) \ ++ ? YYPTRDIFF_MAXIMUM \ ++ : YY_CAST (YYSIZE_T, -1))) ++ ++#define YYSIZEOF(X) YY_CAST (YYPTRDIFF_T, sizeof (X)) ++ ++ ++/* Stored state numbers (used for stacks). */ ++typedef yytype_int16 yy_state_t; ++ ++/* State numbers in computations. */ ++typedef int yy_state_fast_t; ++ ++#ifndef YY_ ++# if defined YYENABLE_NLS && YYENABLE_NLS ++# if ENABLE_NLS ++# include /* INFRINGES ON USER NAME SPACE */ ++# define YY_(Msgid) dgettext ("bison-runtime", Msgid) ++# endif ++# endif ++# ifndef YY_ ++# define YY_(Msgid) Msgid ++# endif ++#endif ++ ++ ++#ifndef YY_ATTRIBUTE_PURE ++# if defined __GNUC__ && 2 < __GNUC__ + (96 <= __GNUC_MINOR__) ++# define YY_ATTRIBUTE_PURE __attribute__ ((__pure__)) ++# else ++# define YY_ATTRIBUTE_PURE ++# endif ++#endif ++ ++#ifndef YY_ATTRIBUTE_UNUSED ++# if defined __GNUC__ && 2 < __GNUC__ + (7 <= __GNUC_MINOR__) ++# define YY_ATTRIBUTE_UNUSED __attribute__ ((__unused__)) ++# else ++# define YY_ATTRIBUTE_UNUSED ++# endif ++#endif ++ ++/* Suppress unused-variable warnings by "using" E. */ ++#if ! defined lint || defined __GNUC__ ++# define YYUSE(E) ((void) (E)) ++#else ++# define YYUSE(E) /* empty */ ++#endif ++ ++#if defined __GNUC__ && ! defined __ICC && 407 <= __GNUC__ * 100 + __GNUC_MINOR__ ++/* Suppress an incorrect diagnostic about yylval being uninitialized. */ ++# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN \ ++ _Pragma ("GCC diagnostic push") \ ++ _Pragma ("GCC diagnostic ignored \"-Wuninitialized\"") \ ++ _Pragma ("GCC diagnostic ignored \"-Wmaybe-uninitialized\"") ++# define YY_IGNORE_MAYBE_UNINITIALIZED_END \ ++ _Pragma ("GCC diagnostic pop") ++#else ++# define YY_INITIAL_VALUE(Value) Value ++#endif ++#ifndef YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++# define YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++# define YY_IGNORE_MAYBE_UNINITIALIZED_END ++#endif ++#ifndef YY_INITIAL_VALUE ++# define YY_INITIAL_VALUE(Value) /* Nothing. */ ++#endif ++ ++#if defined __cplusplus && defined __GNUC__ && ! defined __ICC && 6 <= __GNUC__ ++# define YY_IGNORE_USELESS_CAST_BEGIN \ ++ _Pragma ("GCC diagnostic push") \ ++ _Pragma ("GCC diagnostic ignored \"-Wuseless-cast\"") ++# define YY_IGNORE_USELESS_CAST_END \ ++ _Pragma ("GCC diagnostic pop") ++#endif ++#ifndef YY_IGNORE_USELESS_CAST_BEGIN ++# define YY_IGNORE_USELESS_CAST_BEGIN ++# define YY_IGNORE_USELESS_CAST_END ++#endif ++ ++ ++#define YY_ASSERT(E) ((void) (0 && (E))) ++ ++#if 1 ++ ++/* The parser invokes alloca or malloc; define the necessary symbols. */ ++ ++# ifdef YYSTACK_USE_ALLOCA ++# if YYSTACK_USE_ALLOCA ++# ifdef __GNUC__ ++# define YYSTACK_ALLOC __builtin_alloca ++# elif defined __BUILTIN_VA_ARG_INCR ++# include /* INFRINGES ON USER NAME SPACE */ ++# elif defined _AIX ++# define YYSTACK_ALLOC __alloca ++# elif defined _MSC_VER ++# include /* INFRINGES ON USER NAME SPACE */ ++# define alloca _alloca ++# else ++# define YYSTACK_ALLOC alloca ++# if ! defined _ALLOCA_H && ! defined EXIT_SUCCESS ++# include /* INFRINGES ON USER NAME SPACE */ ++ /* Use EXIT_SUCCESS as a witness for stdlib.h. */ ++# ifndef EXIT_SUCCESS ++# define EXIT_SUCCESS 0 ++# endif ++# endif ++# endif ++# endif ++# endif ++ ++# ifdef YYSTACK_ALLOC ++ /* Pacify GCC's 'empty if-body' warning. */ ++# define YYSTACK_FREE(Ptr) do { /* empty */; } while (0) ++# ifndef YYSTACK_ALLOC_MAXIMUM ++ /* The OS might guarantee only one guard page at the bottom of the stack, ++ and a page size can be as small as 4096 bytes. So we cannot safely ++ invoke alloca (N) if N exceeds 4096. Use a slightly smaller number ++ to allow for a few compiler-allocated temporary stack slots. */ ++# define YYSTACK_ALLOC_MAXIMUM 4032 /* reasonable circa 2006 */ ++# endif ++# else ++# define YYSTACK_ALLOC YYMALLOC ++# define YYSTACK_FREE YYFREE ++# ifndef YYSTACK_ALLOC_MAXIMUM ++# define YYSTACK_ALLOC_MAXIMUM YYSIZE_MAXIMUM ++# endif ++# if (defined __cplusplus && ! defined EXIT_SUCCESS \ ++ && ! ((defined YYMALLOC || defined malloc) \ ++ && (defined YYFREE || defined free))) ++# include /* INFRINGES ON USER NAME SPACE */ ++# ifndef EXIT_SUCCESS ++# define EXIT_SUCCESS 0 ++# endif ++# endif ++# ifndef YYMALLOC ++# define YYMALLOC malloc ++# if ! defined malloc && ! defined EXIT_SUCCESS ++void *malloc (YYSIZE_T); /* INFRINGES ON USER NAME SPACE */ ++# endif ++# endif ++# ifndef YYFREE ++# define YYFREE free ++# if ! defined free && ! defined EXIT_SUCCESS ++void free (void *); /* INFRINGES ON USER NAME SPACE */ ++# endif ++# endif ++# endif ++#endif /* 1 */ ++ ++#if (! defined yyoverflow \ ++ && (! defined __cplusplus \ ++ || (defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL \ ++ && defined YYSTYPE_IS_TRIVIAL && YYSTYPE_IS_TRIVIAL))) ++ ++/* A type that is properly aligned for any stack member. */ ++union yyalloc ++{ ++ yy_state_t yyss_alloc; ++ YYSTYPE yyvs_alloc; ++ YYLTYPE yyls_alloc; ++}; ++ ++/* The size of the maximum gap between one aligned stack and the next. */ ++# define YYSTACK_GAP_MAXIMUM (YYSIZEOF (union yyalloc) - 1) ++ ++/* The size of an array large to enough to hold all stacks, each with ++ N elements. */ ++# define YYSTACK_BYTES(N) \ ++ ((N) * (YYSIZEOF (yy_state_t) + YYSIZEOF (YYSTYPE) \ ++ + YYSIZEOF (YYLTYPE)) \ ++ + 2 * YYSTACK_GAP_MAXIMUM) ++ ++# define YYCOPY_NEEDED 1 ++ ++/* Relocate STACK from its old location to the new one. The ++ local variables YYSIZE and YYSTACKSIZE give the old and new number of ++ elements in the stack, and YYPTR gives the new location of the ++ stack. Advance YYPTR to a properly aligned location for the next ++ stack. */ ++# define YYSTACK_RELOCATE(Stack_alloc, Stack) \ ++ do \ ++ { \ ++ YYPTRDIFF_T yynewbytes; \ ++ YYCOPY (&yyptr->Stack_alloc, Stack, yysize); \ ++ Stack = &yyptr->Stack_alloc; \ ++ yynewbytes = yystacksize * YYSIZEOF (*Stack) + YYSTACK_GAP_MAXIMUM; \ ++ yyptr += yynewbytes / YYSIZEOF (*yyptr); \ ++ } \ ++ while (0) ++ ++#endif ++ ++#if defined YYCOPY_NEEDED && YYCOPY_NEEDED ++/* Copy COUNT objects from SRC to DST. The source and destination do ++ not overlap. */ ++# ifndef YYCOPY ++# if defined __GNUC__ && 1 < __GNUC__ ++# define YYCOPY(Dst, Src, Count) \ ++ __builtin_memcpy (Dst, Src, YY_CAST (YYSIZE_T, (Count)) * sizeof (*(Src))) ++# else ++# define YYCOPY(Dst, Src, Count) \ ++ do \ ++ { \ ++ YYPTRDIFF_T yyi; \ ++ for (yyi = 0; yyi < (Count); yyi++) \ ++ (Dst)[yyi] = (Src)[yyi]; \ ++ } \ ++ while (0) ++# endif ++# endif ++#endif /* !YYCOPY_NEEDED */ ++ ++/* YYFINAL -- State number of the termination state. */ ++#define YYFINAL 27 ++/* YYLAST -- Last index in YYTABLE. */ ++#define YYLAST 1972 ++ ++/* YYNTOKENS -- Number of terminals. */ ++#define YYNTOKENS 69 ++/* YYNNTS -- Number of nonterminals. */ ++#define YYNNTS 30 ++/* YYNRULES -- Number of rules. */ ++#define YYNRULES 162 ++/* YYNSTATES -- Number of states. */ ++#define YYNSTATES 313 ++ ++/* YYMAXUTOK -- Last valid token kind. */ ++#define YYMAXUTOK 302 ++ ++ ++/* YYTRANSLATE(TOKEN-NUM) -- Symbol number corresponding to TOKEN-NUM ++ as returned by yylex, with out-of-bounds checking. */ ++#define YYTRANSLATE(YYX) \ ++ (0 <= (YYX) && (YYX) <= YYMAXUTOK \ ++ ? YY_CAST (yysymbol_kind_t, yytranslate[YYX]) \ ++ : YYSYMBOL_YYUNDEF) ++ ++/* YYTRANSLATE[TOKEN-NUM] -- Symbol number corresponding to TOKEN-NUM ++ as returned by yylex. */ ++static const yytype_int8 yytranslate[] = ++{ ++ 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 62, 56, 2, 2, ++ 60, 61, 54, 52, 48, 53, 64, 55, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 63, 59, ++ 50, 49, 51, 58, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 65, 2, 66, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 67, 47, 68, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ++ 2, 2, 2, 2, 2, 2, 1, 2, 3, 4, ++ 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, ++ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, ++ 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, ++ 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, ++ 45, 46, 57 ++}; ++ ++#if YYDEBUG ++ /* YYRLINE[YYN] -- Source line where rule number YYN was defined. */ ++static const yytype_int16 yyrline[] = ++{ ++ 0, 306, 306, 309, 314, 317, 328, 331, 336, 339, ++ 344, 348, 351, 355, 359, 363, 366, 371, 375, 379, ++ 384, 391, 395, 399, 403, 407, 411, 415, 419, 423, ++ 427, 431, 435, 439, 443, 447, 451, 455, 461, 467, ++ 471, 475, 479, 483, 487, 491, 495, 499, 504, 507, ++ 524, 533, 540, 548, 559, 564, 570, 573, 578, 583, ++ 590, 590, 594, 594, 601, 604, 607, 613, 616, 621, ++ 624, 627, 633, 636, 639, 647, 651, 654, 657, 660, ++ 663, 666, 669, 672, 675, 679, 685, 688, 691, 694, ++ 697, 700, 703, 706, 709, 712, 715, 718, 721, 724, ++ 727, 730, 733, 740, 744, 748, 760, 765, 766, 767, ++ 768, 771, 774, 779, 784, 787, 792, 795, 800, 804, ++ 807, 812, 815, 820, 823, 828, 831, 834, 837, 840, ++ 843, 851, 857, 860, 863, 866, 869, 872, 875, 878, ++ 881, 884, 887, 890, 893, 896, 899, 902, 905, 908, ++ 911, 916, 919, 920, 921, 924, 927, 930, 933, 937, ++ 941, 945, 953 ++}; ++#endif ++ ++/** Accessing symbol of state STATE. */ ++#define YY_ACCESSING_SYMBOL(State) YY_CAST (yysymbol_kind_t, yystos[State]) ++ ++#if 1 ++/* The user-facing name of the symbol whose (internal) number is ++ YYSYMBOL. No bounds checking. */ ++static const char *yysymbol_name (yysymbol_kind_t yysymbol) YY_ATTRIBUTE_UNUSED; ++ ++/* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM. ++ First, the terminals, then, starting at YYNTOKENS, nonterminals. */ ++static const char *const yytname[] = ++{ ++ "\"end of file\"", "error", "\"invalid token\"", "INVALID_CHARACTER", ++ "IDENT", "FIELD", "LITERAL", "FORMAT", "\"..\"", "\"%=\"", "\"==\"", ++ "\"!=\"", "\"//\"", "\"as\"", "\"def\"", "\"module\"", "\"import\"", ++ "\"include\"", "\"if\"", "\"then\"", "\"else\"", "\"elif\"", ++ "\"reduce\"", "\"foreach\"", "\"end\"", "\"and\"", "\"or\"", "\"try\"", ++ "\"catch\"", "\"label\"", "\"break\"", "\"__loc__\"", "\"|=\"", "\"+=\"", ++ "\"-=\"", "\"*=\"", "\"/=\"", "\"//=\"", "\"<=\"", "\">=\"", "\"?//\"", ++ "QQSTRING_START", "QQSTRING_TEXT", "QQSTRING_INTERP_START", ++ "QQSTRING_INTERP_END", "QQSTRING_END", "FUNCDEF", "'|'", "','", "'='", ++ "'<'", "'>'", "'+'", "'-'", "'*'", "'/'", "'%'", "NONOPT", "'?'", "';'", ++ "'('", "')'", "'$'", "':'", "'.'", "'['", "']'", "'{'", "'}'", "$accept", ++ "TopLevel", "Module", "Imports", "FuncDefs", "Exp", "Import", ++ "ImportWhat", "ImportFrom", "FuncDef", "Params", "Param", "String", "@1", ++ "@2", "QQString", "ElseBody", "ExpD", "Term", "Args", "Arg", ++ "RepPatterns", "Patterns", "Pattern", "ArrayPats", "ObjPats", "ObjPat", ++ "Keyword", "MkDict", "MkDictPair", YY_NULLPTR ++}; ++ ++static const char * ++yysymbol_name (yysymbol_kind_t yysymbol) ++{ ++ return yytname[yysymbol]; ++} ++#endif ++ ++#ifdef YYPRINT ++/* YYTOKNUM[NUM] -- (External) token number corresponding to the ++ (internal) symbol number NUM (which must be that of a token). */ ++static const yytype_int16 yytoknum[] = ++{ ++ 0, 256, 257, 258, 259, 260, 261, 262, 263, 264, ++ 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, ++ 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, ++ 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, ++ 295, 296, 297, 298, 299, 300, 301, 124, 44, 61, ++ 60, 62, 43, 45, 42, 47, 37, 302, 63, 59, ++ 40, 41, 36, 58, 46, 91, 93, 123, 125 ++}; ++#endif ++ ++#define YYPACT_NINF (-158) ++ ++#define yypact_value_is_default(Yyn) \ ++ ((Yyn) == YYPACT_NINF) ++ ++#define YYTABLE_NINF (-152) ++ ++#define yytable_value_is_error(Yyn) \ ++ ((Yyn) == YYTABLE_NINF) ++ ++ /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing ++ STATE-NUM. */ ++static const yytype_int16 yypact[] = ++{ ++ 21, 772, 43, 63, -6, 12, -158, 80, -158, 122, ++ 772, 193, 193, 772, 74, 5, -158, 772, 522, 10, ++ 279, 455, 152, 1290, 772, -158, 8, -158, 3, 3, ++ 772, 63, 680, 772, -158, -158, 67, 1646, 58, 130, ++ 106, 133, -158, 135, -158, 20, 83, 1120, -158, -158, ++ -158, 140, 80, 93, 86, -158, 917, -23, 91, -158, ++ -158, -158, -158, -158, -158, -158, -158, -158, -158, -158, ++ -158, -158, -158, -158, -158, -158, -158, -158, 772, 151, ++ 94, 97, 95, 113, 772, 772, 772, 772, 772, 772, ++ 772, 772, 772, 772, 772, 772, 772, 772, 772, 772, ++ 772, 772, 772, 772, 772, 772, 772, 772, -158, -158, ++ 1814, 104, -7, 3, 388, 171, -158, -158, -158, 1814, ++ 772, -158, -158, 1341, 1814, 59, -158, -158, 7, 772, ++ 587, -7, -7, 652, 117, -158, 4, -158, -158, -158, ++ -158, -158, -158, 345, -3, -158, -3, 1154, -158, -3, ++ -3, -158, 345, 1882, 370, 370, 1848, 436, 1914, 1882, ++ 1882, 1882, 1882, 1882, 1882, 370, 370, 1814, 1848, 1882, ++ 370, 370, 20, 20, 129, 129, 129, -158, 184, -7, ++ 834, 149, 143, 156, 134, 136, 772, 145, 867, 47, ++ -158, -158, 772, -158, 23, -158, 200, 72, -158, 1392, ++ -158, 1596, 146, 150, -158, -158, 772, -158, 772, -158, ++ -11, -158, -3, 162, 51, 162, 148, 162, 162, -158, ++ -158, -158, -24, 153, 154, 772, 209, 155, -15, -158, ++ 158, -7, 772, -158, -158, 967, -158, 744, 157, -158, ++ 215, -158, -158, -158, 7, 159, -158, 772, 772, -158, ++ 772, 772, 1814, 1680, -158, -3, -3, -7, -158, -7, ++ -7, 1188, 163, -7, 834, -158, -7, 185, 1814, 169, ++ 170, 1017, -158, -158, -158, 772, 1730, 1780, 1443, 1494, ++ -158, 162, 162, -158, -158, -158, 166, -7, -158, -158, ++ -158, -158, -158, 172, 1545, -158, 772, 772, 772, -7, ++ -158, -158, -158, 1596, 1222, 1067, -158, -158, -158, 772, ++ -158, 1256, -158 ++}; ++ ++ /* YYDEFACT[STATE-NUM] -- Default reduction number in state STATE-NUM. ++ Performed when YYTABLE does not specify something else to do. Zero ++ means the default is an error. */ ++static const yytype_uint8 yydefact[] = ++{ ++ 4, 0, 0, 6, 105, 81, 96, 98, 73, 0, ++ 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, ++ 0, 0, 0, 0, 0, 97, 47, 1, 0, 0, ++ 8, 6, 0, 0, 77, 62, 0, 0, 0, 0, ++ 18, 0, 75, 0, 64, 32, 0, 0, 104, 103, ++ 84, 0, 0, 83, 0, 101, 0, 0, 160, 132, ++ 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, ++ 143, 144, 145, 146, 147, 148, 149, 150, 0, 0, ++ 158, 0, 0, 152, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 21, 5, ++ 10, 80, 0, 0, 0, 0, 53, 52, 3, 2, ++ 8, 7, 48, 0, 113, 0, 111, 64, 0, 0, ++ 0, 0, 0, 0, 0, 74, 0, 107, 99, 85, ++ 79, 108, 100, 0, 0, 110, 0, 0, 159, 0, ++ 0, 102, 0, 40, 41, 42, 25, 24, 23, 27, ++ 31, 34, 36, 39, 26, 45, 46, 28, 29, 22, ++ 43, 44, 30, 33, 35, 37, 38, 76, 0, 0, ++ 0, 0, 0, 117, 82, 0, 0, 89, 0, 0, ++ 9, 49, 0, 106, 0, 59, 0, 0, 56, 0, ++ 16, 0, 0, 0, 19, 17, 0, 65, 0, 61, ++ 0, 154, 0, 162, 71, 155, 0, 157, 156, 153, ++ 118, 121, 0, 0, 0, 0, 0, 0, 0, 123, ++ 0, 0, 0, 78, 109, 0, 88, 0, 87, 51, ++ 0, 112, 63, 58, 0, 0, 54, 0, 0, 15, ++ 0, 0, 20, 0, 70, 0, 0, 0, 119, 0, ++ 0, 0, 125, 0, 0, 120, 0, 116, 11, 95, ++ 94, 0, 86, 50, 57, 0, 0, 0, 0, 0, ++ 66, 69, 161, 122, 131, 127, 0, 0, 129, 124, ++ 128, 92, 91, 93, 0, 68, 0, 0, 0, 0, ++ 126, 90, 55, 0, 0, 0, 130, 67, 12, 0, ++ 14, 0, 13 ++}; ++ ++ /* YYPGOTO[NTERM-NUM]. */ ++static const yytype_int16 yypgoto[] = ++{ ++ -158, -158, -158, 201, 115, -1, -158, -158, 204, -8, ++ -158, -5, 6, -158, -158, 110, -65, -131, -4, -158, ++ 48, -158, 16, -149, -158, -158, -22, -157, -104, -158 ++}; ++ ++ /* YYDEFGOTO[NTERM-NUM]. */ ++static const yytype_int16 yydefgoto[] = ++{ ++ -1, 2, 3, 30, 118, 110, 31, 32, 115, 24, ++ 197, 198, 25, 44, 127, 136, 249, 213, 26, 125, ++ 126, 181, 182, 183, 222, 228, 229, 81, 82, 83 ++}; ++ ++ /* YYTABLE[YYPACT[STATE-NUM]] -- What to do in state STATE-NUM. If ++ positive, shift that token. If negative, reduce the rule whose ++ number is the opposite. If YYTABLE_NINF, syntax error. */ ++static const yytype_int16 yytable[] = ++{ ++ 23, 4, 5, 6, 7, 8, 42, 38, 39, 37, ++ 52, 195, 40, 111, 48, 215, 45, 47, 217, 218, ++ 56, 112, 120, 230, 257, 143, 53, 15, 80, 119, ++ 221, 123, 124, 264, 116, 116, 1, 143, 16, 211, ++ 144, 49, 258, 27, 16, 145, 207, 208, 219, 209, ++ 212, 239, 144, 265, 33, 178, 111, 18, 179, 19, ++ 180, 20, 21, 111, 22, 207, 208, 43, 242, 196, ++ 34, 131, 113, 114, 105, 106, 107, 147, 108, 28, ++ 29, 254, 267, 153, 154, 155, 156, 157, 158, 159, ++ 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, ++ 170, 171, 172, 173, 174, 175, 176, 230, 283, 240, ++ 284, 285, 120, 188, 288, 113, 114, 290, 192, 184, ++ 193, 35, 113, 114, 281, 282, 36, 128, 199, 201, ++ 129, 244, 205, 245, 133, 111, 41, 134, 300, 135, ++ 214, 139, 214, 132, 137, 214, 214, 202, 203, 80, ++ 306, 140, 141, 57, 146, 148, 58, 149, 80, 52, ++ 150, 152, 177, 151, 206, 59, 60, 61, 62, 63, ++ 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, ++ 74, 75, 76, 77, 189, 235, 227, 108, 220, 231, ++ 232, 124, 233, 16, 113, 114, -115, 4, 5, 6, ++ 7, 8, 234, 236, 243, 252, 250, 253, 214, 255, ++ 251, 256, 78, 262, 79, 272, 259, 260, 263, 273, ++ -151, 266, 275, 15, 261, -114, 287, 291, 292, 299, ++ 301, 268, 121, 117, 16, 190, 271, 194, 307, 274, ++ 241, 0, 289, 0, 0, 0, 276, 277, 0, 278, ++ 279, 214, 214, 18, 0, 19, 0, 20, 21, 0, ++ 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 227, 0, 0, 0, 294, 0, 0, 0, 0, -72, ++ 50, 0, 0, 51, -72, 0, 52, 0, -72, -72, ++ -72, -72, -72, 0, 0, 303, 304, 305, -72, -72, ++ -72, 0, 0, -72, -72, -72, 0, -72, 311, 0, ++ 0, -72, -72, -72, -72, -72, -72, -72, -72, 0, ++ 16, 0, 0, -72, 0, 0, -72, -72, -72, -72, ++ -72, -72, -72, -72, -72, -72, 0, -72, -72, 0, ++ -72, 0, -72, -72, -72, -72, 210, -72, 0, 58, ++ 0, 0, 52, 0, 0, 0, 0, 0, 59, 60, ++ 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, ++ 71, 72, 73, 74, 75, 76, 77, 0, 0, 0, ++ -152, -152, 0, 0, 0, 0, 16, 0, 0, 185, ++ 0, 0, 4, 5, 6, 7, 8, 0, 0, 0, ++ 0, 0, 9, 0, 0, 78, 10, 79, -152, -152, ++ 11, 12, 0, -151, 0, 13, 0, 14, 15, 0, ++ -152, -152, 103, 104, 105, 106, 107, 0, 108, 16, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 17, 0, 0, 0, 0, 85, 86, 18, 0, ++ 19, 186, 20, 21, 187, 22, 54, 0, 0, 4, ++ 5, 6, 7, 8, 0, 0, 0, 0, 0, 9, ++ 0, 0, 0, 10, 96, 97, 0, 11, 12, 0, ++ 0, 0, 13, 0, 14, 15, 101, 102, 103, 104, ++ 105, 106, 107, 0, 108, 0, 16, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, ++ 0, 0, 0, 0, 0, 18, 0, 19, 0, 20, ++ 21, 55, 22, 46, 0, 0, 4, 5, 6, 7, ++ 8, 0, 0, 0, 0, 0, 9, 0, 0, 0, ++ 10, 0, 0, 0, 11, 12, 0, 0, 0, 13, ++ 0, 14, 15, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, ++ 0, 0, 18, 0, 19, 0, 20, 21, 200, 22, ++ 0, 4, 5, 6, 7, 8, 0, 0, 0, 0, ++ 0, 9, 0, 0, 0, 10, 0, 0, 0, 11, ++ 12, 0, 0, 0, 13, 0, 14, 15, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 17, 0, 0, 0, 0, 0, 0, 18, 0, 19, ++ 0, 20, 21, 204, 22, 0, 4, 5, 6, 7, ++ 8, 0, 0, 0, 0, 0, 9, 0, 0, 0, ++ 10, 0, 0, 0, 11, 12, 0, 0, 0, 13, ++ 0, 14, 15, 0, 4, 5, 6, 7, 8, 0, ++ 0, 0, 0, 16, 9, 0, 0, 0, 10, 0, ++ 0, 0, 11, 12, 0, 17, 0, 13, 0, 14, ++ 15, 0, 18, 0, 19, 0, 20, 21, 0, 22, ++ 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 17, 0, 0, 0, 0, 0, 122, ++ 18, 0, 19, 0, 20, 21, 0, 22, 4, 5, ++ 6, 7, 8, 0, 0, 0, 0, 0, 9, 0, ++ 0, 0, 10, 0, 0, 0, 11, 12, 0, 0, ++ 0, 13, 0, 14, 15, 0, 4, 5, 6, 7, ++ 8, 0, 0, 0, 0, 16, 9, 0, 0, 0, ++ 10, 0, 0, 0, 11, 12, 0, 17, 0, 13, ++ 0, 14, 15, 0, 18, 0, 19, 0, 20, 21, ++ 270, 22, 0, 16, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, ++ 0, 0, 18, 0, 19, 223, 20, 21, 224, 22, ++ 0, 52, 0, 0, 0, 0, 0, 59, 60, 61, ++ 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, ++ 72, 73, 74, 75, 76, 77, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 16, 84, 85, 86, 87, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 88, 89, 225, 0, 226, 0, 0, 90, ++ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0, ++ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103, ++ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87, ++ 237, 0, 0, 238, 0, 0, 0, 0, 0, 0, ++ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90, ++ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0, ++ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103, ++ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87, ++ 0, 0, 0, 142, 0, 0, 0, 0, 0, 0, ++ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90, ++ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0, ++ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103, ++ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87, ++ 0, 0, 0, 269, 0, 0, 0, 0, 0, 0, ++ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90, ++ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0, ++ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103, ++ 104, 105, 106, 107, 0, 108, 84, 85, 86, 87, ++ 0, 0, 0, 293, 0, 0, 0, 0, 0, 0, ++ 0, 0, 88, 89, 0, 0, 0, 0, 0, 90, ++ 91, 92, 93, 94, 95, 96, 97, 0, 0, 0, ++ 0, 0, 0, 0, 98, 99, 100, 101, 102, 103, ++ 104, 105, 106, 107, 0, 108, 309, 0, 310, 84, ++ 85, 86, 87, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 88, 89, 0, 0, 0, ++ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97, ++ 0, 0, 0, 84, 85, 86, 87, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 0, 108, 88, ++ 89, 138, 0, 0, 0, 0, 90, 91, 92, 93, ++ 94, 95, 96, 97, 0, 0, 0, 84, 85, 86, ++ 87, 98, 99, 100, 101, 102, 103, 104, 105, 106, ++ 107, 0, 108, 88, 89, 216, 0, 0, 0, 0, ++ 90, 91, 92, 93, 94, 95, 96, 97, 0, 0, ++ 0, 84, 85, 86, 87, 98, 99, 100, 101, 102, ++ 103, 104, 105, 106, 107, 0, 108, 88, 89, 286, ++ 0, 0, 0, 0, 90, 91, 92, 93, 94, 95, ++ 96, 97, 0, 0, 0, 84, 85, 86, 87, 98, ++ 99, 100, 101, 102, 103, 104, 105, 106, 107, 0, ++ 108, 88, 89, 308, 0, 0, 0, 0, 90, 91, ++ 92, 93, 94, 95, 96, 97, 0, 0, 0, 84, ++ 85, 86, 87, 98, 99, 100, 101, 102, 103, 104, ++ 105, 106, 107, 0, 108, 88, 89, 312, 0, 0, ++ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97, ++ 0, 0, 0, 0, 0, 0, 0, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 0, 108, 109, ++ 84, 85, 86, 87, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 88, 89, 0, 0, ++ 0, 0, 0, 90, 91, 92, 93, 94, 95, 96, ++ 97, 0, 0, 0, 0, 0, 0, 0, 98, 99, ++ 100, 101, 102, 103, 104, 105, 106, 107, 0, 108, ++ 191, 84, 85, 86, 87, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 88, 89, 0, ++ 0, 0, 0, 0, 90, 91, 92, 93, 94, 95, ++ 96, 97, 0, 0, 0, 0, 0, 0, 0, 98, ++ 99, 100, 101, 102, 103, 104, 105, 106, 107, 0, ++ 108, 246, 84, 85, 86, 87, 0, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 88, 89, ++ 0, 0, 0, 0, 0, 90, 91, 92, 93, 94, ++ 95, 96, 97, 0, 0, 0, 0, 0, 0, 0, ++ 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, ++ 0, 108, 297, 84, 85, 86, 87, 0, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, ++ 89, 0, 0, 0, 0, 0, 90, 91, 92, 93, ++ 94, 95, 96, 97, 0, 0, 0, 0, 0, 0, ++ 0, 98, 99, 100, 101, 102, 103, 104, 105, 106, ++ 107, 0, 108, 298, 84, 85, 86, 87, 0, 0, ++ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 88, 89, 0, 0, 0, 0, 0, 90, 91, 92, ++ 93, 94, 95, 96, 97, 0, 0, 0, 0, 0, ++ 0, 0, 98, 99, 100, 101, 102, 103, 104, 105, ++ 106, 107, 0, 108, 302, 84, 85, 86, 87, 0, ++ 0, 0, 0, 0, 0, 0, 247, 248, 0, 0, ++ 0, 88, 89, 0, 0, 0, 0, 0, 90, 91, ++ 92, 93, 94, 95, 96, 97, 0, 0, 0, 0, ++ 0, 0, 0, 98, 99, 100, 101, 102, 103, 104, ++ 105, 106, 107, 0, 108, 84, 85, 86, 87, 0, ++ 0, 0, 0, 0, 0, 130, 0, 0, 0, 0, ++ 0, 88, 89, 0, 0, 0, 0, 0, 90, 91, ++ 92, 93, 94, 95, 96, 97, 0, 0, 0, 84, ++ 85, 86, 87, 98, 99, 100, 101, 102, 103, 104, ++ 105, 106, 107, 0, 108, 88, 89, 0, 0, 0, ++ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97, ++ 0, 0, 0, 0, 280, 0, 0, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 0, 108, 84, ++ 85, 86, 87, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 295, 88, 89, 0, 0, 0, ++ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97, ++ 0, 0, 0, 0, 0, 0, 0, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 0, 108, 84, ++ 85, 86, 87, 0, 0, 0, 0, 0, 0, 296, ++ 0, 0, 0, 0, 0, 88, 89, 0, 0, 0, ++ 0, 0, 90, 91, 92, 93, 94, 95, 96, 97, ++ 0, 0, 0, 84, 85, 86, 87, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 0, 108, 88, ++ 89, 0, 0, 0, 0, 0, 90, 91, 92, 93, ++ 94, 95, 96, 97, 0, 0, 0, 84, 85, 86, ++ 87, 98, 99, 100, 101, 102, 103, 104, 105, 106, ++ 107, 0, 108, 88, 89, 0, 0, 0, 0, 0, ++ 90, 91, 92, 93, 94, 95, 96, 97, 0, 0, ++ 0, -152, 85, 86, 0, 0, 0, 100, 101, 102, ++ 103, 104, 105, 106, 107, 0, 108, 88, 89, 0, ++ 0, 0, 0, 0, -152, -152, -152, -152, -152, -152, ++ 96, 97, 0, 0, 85, 86, 0, 0, 0, 0, ++ 0, -152, 101, 102, 103, 104, 105, 106, 107, 88, ++ 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, ++ 0, 0, 96, 97, 0, 0, 0, 0, 0, 0, ++ 0, 0, 0, 0, 101, 102, 103, 104, 105, 106, ++ 107, 0, 108 ++}; ++ ++static const yytype_int16 yycheck[] = ++{ ++ 1, 4, 5, 6, 7, 8, 1, 11, 12, 10, ++ 7, 4, 13, 5, 4, 146, 17, 18, 149, 150, ++ 21, 13, 30, 180, 48, 48, 20, 30, 22, 30, ++ 179, 32, 33, 48, 28, 29, 15, 48, 41, 143, ++ 63, 31, 66, 0, 41, 68, 42, 43, 152, 45, ++ 53, 4, 63, 68, 60, 62, 5, 60, 65, 62, ++ 67, 64, 65, 5, 67, 42, 43, 62, 45, 62, ++ 58, 13, 64, 65, 54, 55, 56, 78, 58, 16, ++ 17, 212, 231, 84, 85, 86, 87, 88, 89, 90, ++ 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, ++ 101, 102, 103, 104, 105, 106, 107, 264, 257, 62, ++ 259, 260, 120, 114, 263, 64, 65, 266, 59, 113, ++ 61, 41, 64, 65, 255, 256, 4, 60, 129, 130, ++ 63, 59, 133, 61, 28, 5, 62, 4, 287, 4, ++ 144, 1, 146, 13, 61, 149, 150, 131, 132, 143, ++ 299, 58, 66, 1, 63, 4, 4, 63, 152, 7, ++ 63, 48, 58, 68, 47, 13, 14, 15, 16, 17, ++ 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, ++ 28, 29, 30, 31, 13, 186, 180, 58, 4, 40, ++ 47, 192, 58, 41, 64, 65, 40, 4, 5, 6, ++ 7, 8, 66, 58, 4, 206, 60, 208, 212, 47, ++ 60, 63, 60, 4, 62, 58, 63, 63, 63, 4, ++ 68, 63, 63, 30, 225, 40, 63, 58, 58, 63, ++ 58, 232, 31, 29, 41, 120, 237, 127, 303, 244, ++ 192, -1, 264, -1, -1, -1, 247, 248, -1, 250, ++ 251, 255, 256, 60, -1, 62, -1, 64, 65, -1, ++ 67, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ 264, -1, -1, -1, 275, -1, -1, -1, -1, 0, ++ 1, -1, -1, 4, 5, -1, 7, -1, 9, 10, ++ 11, 12, 13, -1, -1, 296, 297, 298, 19, 20, ++ 21, -1, -1, 24, 25, 26, -1, 28, 309, -1, ++ -1, 32, 33, 34, 35, 36, 37, 38, 39, -1, ++ 41, -1, -1, 44, -1, -1, 47, 48, 49, 50, ++ 51, 52, 53, 54, 55, 56, -1, 58, 59, -1, ++ 61, -1, 63, 64, 65, 66, 1, 68, -1, 4, ++ -1, -1, 7, -1, -1, -1, -1, -1, 13, 14, ++ 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, ++ 25, 26, 27, 28, 29, 30, 31, -1, -1, -1, ++ 10, 11, -1, -1, -1, -1, 41, -1, -1, 1, ++ -1, -1, 4, 5, 6, 7, 8, -1, -1, -1, ++ -1, -1, 14, -1, -1, 60, 18, 62, 38, 39, ++ 22, 23, -1, 68, -1, 27, -1, 29, 30, -1, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 41, ++ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ -1, 53, -1, -1, -1, -1, 10, 11, 60, -1, ++ 62, 63, 64, 65, 66, 67, 1, -1, -1, 4, ++ 5, 6, 7, 8, -1, -1, -1, -1, -1, 14, ++ -1, -1, -1, 18, 38, 39, -1, 22, 23, -1, ++ -1, -1, 27, -1, 29, 30, 50, 51, 52, 53, ++ 54, 55, 56, -1, 58, -1, 41, -1, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, 53, -1, ++ -1, -1, -1, -1, -1, 60, -1, 62, -1, 64, ++ 65, 66, 67, 1, -1, -1, 4, 5, 6, 7, ++ 8, -1, -1, -1, -1, -1, 14, -1, -1, -1, ++ 18, -1, -1, -1, 22, 23, -1, -1, -1, 27, ++ -1, 29, 30, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, 41, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, 53, -1, -1, -1, -1, ++ -1, -1, 60, -1, 62, -1, 64, 65, 1, 67, ++ -1, 4, 5, 6, 7, 8, -1, -1, -1, -1, ++ -1, 14, -1, -1, -1, 18, -1, -1, -1, 22, ++ 23, -1, -1, -1, 27, -1, 29, 30, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, 41, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ 53, -1, -1, -1, -1, -1, -1, 60, -1, 62, ++ -1, 64, 65, 1, 67, -1, 4, 5, 6, 7, ++ 8, -1, -1, -1, -1, -1, 14, -1, -1, -1, ++ 18, -1, -1, -1, 22, 23, -1, -1, -1, 27, ++ -1, 29, 30, -1, 4, 5, 6, 7, 8, -1, ++ -1, -1, -1, 41, 14, -1, -1, -1, 18, -1, ++ -1, -1, 22, 23, -1, 53, -1, 27, -1, 29, ++ 30, -1, 60, -1, 62, -1, 64, 65, -1, 67, ++ -1, 41, -1, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, 53, -1, -1, -1, -1, -1, 59, ++ 60, -1, 62, -1, 64, 65, -1, 67, 4, 5, ++ 6, 7, 8, -1, -1, -1, -1, -1, 14, -1, ++ -1, -1, 18, -1, -1, -1, 22, 23, -1, -1, ++ -1, 27, -1, 29, 30, -1, 4, 5, 6, 7, ++ 8, -1, -1, -1, -1, 41, 14, -1, -1, -1, ++ 18, -1, -1, -1, 22, 23, -1, 53, -1, 27, ++ -1, 29, 30, -1, 60, -1, 62, -1, 64, 65, ++ 66, 67, -1, 41, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, 53, -1, -1, -1, -1, ++ -1, -1, 60, -1, 62, 1, 64, 65, 4, 67, ++ -1, 7, -1, -1, -1, -1, -1, 13, 14, 15, ++ 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, ++ 26, 27, 28, 29, 30, 31, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, 41, 9, 10, 11, 12, ++ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, 25, 26, 60, -1, 62, -1, -1, 32, ++ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1, ++ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52, ++ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12, ++ 63, -1, -1, 66, -1, -1, -1, -1, -1, -1, ++ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32, ++ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1, ++ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52, ++ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12, ++ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1, ++ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32, ++ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1, ++ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52, ++ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12, ++ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1, ++ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32, ++ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1, ++ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52, ++ 53, 54, 55, 56, -1, 58, 9, 10, 11, 12, ++ -1, -1, -1, 66, -1, -1, -1, -1, -1, -1, ++ -1, -1, 25, 26, -1, -1, -1, -1, -1, 32, ++ 33, 34, 35, 36, 37, 38, 39, -1, -1, -1, ++ -1, -1, -1, -1, 47, 48, 49, 50, 51, 52, ++ 53, 54, 55, 56, -1, 58, 59, -1, 61, 9, ++ 10, 11, 12, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, 25, 26, -1, -1, -1, ++ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39, ++ -1, -1, -1, 9, 10, 11, 12, 47, 48, 49, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 25, ++ 26, 61, -1, -1, -1, -1, 32, 33, 34, 35, ++ 36, 37, 38, 39, -1, -1, -1, 9, 10, 11, ++ 12, 47, 48, 49, 50, 51, 52, 53, 54, 55, ++ 56, -1, 58, 25, 26, 61, -1, -1, -1, -1, ++ 32, 33, 34, 35, 36, 37, 38, 39, -1, -1, ++ -1, 9, 10, 11, 12, 47, 48, 49, 50, 51, ++ 52, 53, 54, 55, 56, -1, 58, 25, 26, 61, ++ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37, ++ 38, 39, -1, -1, -1, 9, 10, 11, 12, 47, ++ 48, 49, 50, 51, 52, 53, 54, 55, 56, -1, ++ 58, 25, 26, 61, -1, -1, -1, -1, 32, 33, ++ 34, 35, 36, 37, 38, 39, -1, -1, -1, 9, ++ 10, 11, 12, 47, 48, 49, 50, 51, 52, 53, ++ 54, 55, 56, -1, 58, 25, 26, 61, -1, -1, ++ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39, ++ -1, -1, -1, -1, -1, -1, -1, 47, 48, 49, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 59, ++ 9, 10, 11, 12, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, -1, 25, 26, -1, -1, ++ -1, -1, -1, 32, 33, 34, 35, 36, 37, 38, ++ 39, -1, -1, -1, -1, -1, -1, -1, 47, 48, ++ 49, 50, 51, 52, 53, 54, 55, 56, -1, 58, ++ 59, 9, 10, 11, 12, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, 25, 26, -1, ++ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37, ++ 38, 39, -1, -1, -1, -1, -1, -1, -1, 47, ++ 48, 49, 50, 51, 52, 53, 54, 55, 56, -1, ++ 58, 59, 9, 10, 11, 12, -1, -1, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, 25, 26, ++ -1, -1, -1, -1, -1, 32, 33, 34, 35, 36, ++ 37, 38, 39, -1, -1, -1, -1, -1, -1, -1, ++ 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, ++ -1, 58, 59, 9, 10, 11, 12, -1, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, -1, 25, ++ 26, -1, -1, -1, -1, -1, 32, 33, 34, 35, ++ 36, 37, 38, 39, -1, -1, -1, -1, -1, -1, ++ -1, 47, 48, 49, 50, 51, 52, 53, 54, 55, ++ 56, -1, 58, 59, 9, 10, 11, 12, -1, -1, ++ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ 25, 26, -1, -1, -1, -1, -1, 32, 33, 34, ++ 35, 36, 37, 38, 39, -1, -1, -1, -1, -1, ++ -1, -1, 47, 48, 49, 50, 51, 52, 53, 54, ++ 55, 56, -1, 58, 59, 9, 10, 11, 12, -1, ++ -1, -1, -1, -1, -1, -1, 20, 21, -1, -1, ++ -1, 25, 26, -1, -1, -1, -1, -1, 32, 33, ++ 34, 35, 36, 37, 38, 39, -1, -1, -1, -1, ++ -1, -1, -1, 47, 48, 49, 50, 51, 52, 53, ++ 54, 55, 56, -1, 58, 9, 10, 11, 12, -1, ++ -1, -1, -1, -1, -1, 19, -1, -1, -1, -1, ++ -1, 25, 26, -1, -1, -1, -1, -1, 32, 33, ++ 34, 35, 36, 37, 38, 39, -1, -1, -1, 9, ++ 10, 11, 12, 47, 48, 49, 50, 51, 52, 53, ++ 54, 55, 56, -1, 58, 25, 26, -1, -1, -1, ++ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39, ++ -1, -1, -1, -1, 44, -1, -1, 47, 48, 49, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 9, ++ 10, 11, 12, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, 24, 25, 26, -1, -1, -1, ++ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39, ++ -1, -1, -1, -1, -1, -1, -1, 47, 48, 49, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 9, ++ 10, 11, 12, -1, -1, -1, -1, -1, -1, 19, ++ -1, -1, -1, -1, -1, 25, 26, -1, -1, -1, ++ -1, -1, 32, 33, 34, 35, 36, 37, 38, 39, ++ -1, -1, -1, 9, 10, 11, 12, 47, 48, 49, ++ 50, 51, 52, 53, 54, 55, 56, -1, 58, 25, ++ 26, -1, -1, -1, -1, -1, 32, 33, 34, 35, ++ 36, 37, 38, 39, -1, -1, -1, 9, 10, 11, ++ 12, 47, 48, 49, 50, 51, 52, 53, 54, 55, ++ 56, -1, 58, 25, 26, -1, -1, -1, -1, -1, ++ 32, 33, 34, 35, 36, 37, 38, 39, -1, -1, ++ -1, 9, 10, 11, -1, -1, -1, 49, 50, 51, ++ 52, 53, 54, 55, 56, -1, 58, 25, 26, -1, ++ -1, -1, -1, -1, 32, 33, 34, 35, 36, 37, ++ 38, 39, -1, -1, 10, 11, -1, -1, -1, -1, ++ -1, 49, 50, 51, 52, 53, 54, 55, 56, 25, ++ 58, -1, -1, -1, -1, -1, -1, -1, -1, -1, ++ -1, -1, 38, 39, -1, -1, -1, -1, -1, -1, ++ -1, -1, -1, -1, 50, 51, 52, 53, 54, 55, ++ 56, -1, 58 ++}; ++ ++ /* YYSTOS[STATE-NUM] -- The (internal number of the) accessing ++ symbol of state STATE-NUM. */ ++static const yytype_int8 yystos[] = ++{ ++ 0, 15, 70, 71, 4, 5, 6, 7, 8, 14, ++ 18, 22, 23, 27, 29, 30, 41, 53, 60, 62, ++ 64, 65, 67, 74, 78, 81, 87, 0, 16, 17, ++ 72, 75, 76, 60, 58, 41, 4, 74, 87, 87, ++ 74, 62, 1, 62, 82, 74, 1, 74, 4, 31, ++ 1, 4, 7, 81, 1, 66, 74, 1, 4, 13, ++ 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, ++ 24, 25, 26, 27, 28, 29, 30, 31, 60, 62, ++ 81, 96, 97, 98, 9, 10, 11, 12, 25, 26, ++ 32, 33, 34, 35, 36, 37, 38, 39, 47, 48, ++ 49, 50, 51, 52, 53, 54, 55, 56, 58, 59, ++ 74, 5, 13, 64, 65, 77, 81, 77, 73, 74, ++ 78, 72, 59, 74, 74, 88, 89, 83, 60, 63, ++ 19, 13, 13, 28, 4, 4, 84, 61, 61, 1, ++ 58, 66, 66, 48, 63, 68, 63, 74, 4, 63, ++ 63, 68, 48, 74, 74, 74, 74, 74, 74, 74, ++ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, ++ 74, 74, 74, 74, 74, 74, 74, 58, 62, 65, ++ 67, 90, 91, 92, 81, 1, 63, 66, 74, 13, ++ 73, 59, 59, 61, 84, 4, 62, 79, 80, 74, ++ 1, 74, 91, 91, 1, 74, 47, 42, 43, 45, ++ 1, 97, 53, 86, 87, 86, 61, 86, 86, 97, ++ 4, 92, 93, 1, 4, 60, 62, 81, 94, 95, ++ 96, 40, 47, 58, 66, 74, 58, 63, 66, 4, ++ 62, 89, 45, 4, 59, 61, 59, 20, 21, 85, ++ 60, 60, 74, 74, 86, 47, 63, 48, 66, 63, ++ 63, 74, 4, 63, 48, 68, 63, 92, 74, 66, ++ 66, 74, 58, 4, 80, 63, 74, 74, 74, 74, ++ 44, 86, 86, 92, 92, 92, 61, 63, 92, 95, ++ 92, 58, 58, 66, 74, 24, 19, 59, 59, 63, ++ 92, 58, 59, 74, 74, 74, 92, 85, 61, 59, ++ 61, 74, 61 ++}; ++ ++ /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */ ++static const yytype_int8 yyr1[] = ++{ ++ 0, 69, 70, 70, 71, 71, 72, 72, 73, 73, ++ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, ++ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, ++ 74, 74, 74, 74, 74, 74, 74, 74, 74, 74, ++ 74, 74, 74, 74, 74, 74, 74, 74, 75, 75, ++ 76, 76, 76, 77, 78, 78, 79, 79, 80, 80, ++ 82, 81, 83, 81, 84, 84, 84, 85, 85, 86, ++ 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, ++ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, ++ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, ++ 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, ++ 87, 88, 88, 89, 90, 90, 91, 91, 92, 92, ++ 92, 93, 93, 94, 94, 95, 95, 95, 95, 95, ++ 95, 95, 96, 96, 96, 96, 96, 96, 96, 96, ++ 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, ++ 96, 97, 97, 97, 97, 98, 98, 98, 98, 98, ++ 98, 98, 98 ++}; ++ ++ /* YYR2[YYN] -- Number of symbols on the right hand side of rule YYN. */ ++static const yytype_int8 yyr2[] = ++{ ++ 0, 2, 3, 3, 0, 3, 0, 2, 0, 2, ++ 2, 5, 9, 11, 9, 5, 4, 4, 2, 4, ++ 5, 2, 3, 3, 3, 3, 3, 3, 3, 3, ++ 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, ++ 3, 3, 3, 3, 3, 3, 3, 1, 2, 3, ++ 5, 4, 2, 1, 5, 8, 1, 3, 2, 1, ++ 0, 4, 0, 5, 0, 2, 4, 5, 3, 3, ++ 2, 1, 1, 1, 3, 2, 3, 2, 4, 3, ++ 2, 1, 3, 2, 2, 3, 5, 4, 4, 3, ++ 7, 6, 6, 6, 5, 5, 1, 1, 1, 3, ++ 3, 2, 3, 2, 2, 1, 4, 3, 3, 4, ++ 3, 1, 3, 1, 3, 1, 3, 1, 2, 3, ++ 3, 1, 3, 1, 3, 2, 4, 3, 3, 3, ++ 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, ++ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ++ 1, 0, 1, 3, 3, 3, 3, 3, 1, 2, ++ 1, 5, 3 ++}; ++ ++ ++enum { YYENOMEM = -2 }; ++ ++#define yyerrok (yyerrstatus = 0) ++#define yyclearin (yychar = YYEMPTY) ++ ++#define YYACCEPT goto yyacceptlab ++#define YYABORT goto yyabortlab ++#define YYERROR goto yyerrorlab ++ ++ ++#define YYRECOVERING() (!!yyerrstatus) ++ ++#define YYBACKUP(Token, Value) \ ++ do \ ++ if (yychar == YYEMPTY) \ ++ { \ ++ yychar = (Token); \ ++ yylval = (Value); \ ++ YYPOPSTACK (yylen); \ ++ yystate = *yyssp; \ ++ goto yybackup; \ ++ } \ ++ else \ ++ { \ ++ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("syntax error: cannot back up")); \ ++ YYERROR; \ ++ } \ ++ while (0) ++ ++/* Backward compatibility with an undocumented macro. ++ Use YYerror or YYUNDEF. */ ++#define YYERRCODE YYUNDEF ++ ++/* YYLLOC_DEFAULT -- Set CURRENT to span from RHS[1] to RHS[N]. ++ If N is 0, then set CURRENT to the empty location which ends ++ the previous symbol: RHS[0] (always defined). */ ++ ++#ifndef YYLLOC_DEFAULT ++# define YYLLOC_DEFAULT(Current, Rhs, N) \ ++ do \ ++ if (N) \ ++ { \ ++ (Current).first_line = YYRHSLOC (Rhs, 1).first_line; \ ++ (Current).first_column = YYRHSLOC (Rhs, 1).first_column; \ ++ (Current).last_line = YYRHSLOC (Rhs, N).last_line; \ ++ (Current).last_column = YYRHSLOC (Rhs, N).last_column; \ ++ } \ ++ else \ ++ { \ ++ (Current).first_line = (Current).last_line = \ ++ YYRHSLOC (Rhs, 0).last_line; \ ++ (Current).first_column = (Current).last_column = \ ++ YYRHSLOC (Rhs, 0).last_column; \ ++ } \ ++ while (0) ++#endif ++ ++#define YYRHSLOC(Rhs, K) ((Rhs)[K]) ++ ++ ++/* Enable debugging if requested. */ ++#if YYDEBUG ++ ++# ifndef YYFPRINTF ++# include /* INFRINGES ON USER NAME SPACE */ ++# define YYFPRINTF fprintf ++# endif ++ ++# define YYDPRINTF(Args) \ ++do { \ ++ if (yydebug) \ ++ YYFPRINTF Args; \ ++} while (0) ++ ++ ++/* YY_LOCATION_PRINT -- Print the location on the stream. ++ This macro was not mandated originally: define only if we know ++ we won't break user code: when these are the locations we know. */ ++ ++# ifndef YY_LOCATION_PRINT ++# if defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL ++ ++/* Print *YYLOCP on YYO. Private, do not rely on its existence. */ ++ ++YY_ATTRIBUTE_UNUSED ++static int ++yy_location_print_ (FILE *yyo, YYLTYPE const * const yylocp) ++{ ++ int res = 0; ++ int end_col = 0 != yylocp->last_column ? yylocp->last_column - 1 : 0; ++ if (0 <= yylocp->first_line) ++ { ++ res += YYFPRINTF (yyo, "%d", yylocp->first_line); ++ if (0 <= yylocp->first_column) ++ res += YYFPRINTF (yyo, ".%d", yylocp->first_column); ++ } ++ if (0 <= yylocp->last_line) ++ { ++ if (yylocp->first_line < yylocp->last_line) ++ { ++ res += YYFPRINTF (yyo, "-%d", yylocp->last_line); ++ if (0 <= end_col) ++ res += YYFPRINTF (yyo, ".%d", end_col); ++ } ++ else if (0 <= end_col && yylocp->first_column < end_col) ++ res += YYFPRINTF (yyo, "-%d", end_col); ++ } ++ return res; ++ } ++ ++# define YY_LOCATION_PRINT(File, Loc) \ ++ yy_location_print_ (File, &(Loc)) ++ ++# else ++# define YY_LOCATION_PRINT(File, Loc) ((void) 0) ++# endif ++# endif /* !defined YY_LOCATION_PRINT */ ++ ++ ++# define YY_SYMBOL_PRINT(Title, Kind, Value, Location) \ ++do { \ ++ if (yydebug) \ ++ { \ ++ YYFPRINTF (stderr, "%s ", Title); \ ++ yy_symbol_print (stderr, \ ++ Kind, Value, Location, answer, errors, locations, lexer_param_ptr); \ ++ YYFPRINTF (stderr, "\n"); \ ++ } \ ++} while (0) ++ ++ ++/*-----------------------------------. ++| Print this symbol's value on YYO. | ++`-----------------------------------*/ ++ ++static void ++yy_symbol_value_print (FILE *yyo, ++ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++{ ++ FILE *yyoutput = yyo; ++ YYUSE (yyoutput); ++ YYUSE (yylocationp); ++ YYUSE (answer); ++ YYUSE (errors); ++ YYUSE (locations); ++ YYUSE (lexer_param_ptr); ++ if (!yyvaluep) ++ return; ++# ifdef YYPRINT ++ if (yykind < YYNTOKENS) ++ YYPRINT (yyo, yytoknum[yykind], *yyvaluep); ++# endif ++ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++ YYUSE (yykind); ++ YY_IGNORE_MAYBE_UNINITIALIZED_END ++} ++ ++ ++/*---------------------------. ++| Print this symbol on YYO. | ++`---------------------------*/ ++ ++static void ++yy_symbol_print (FILE *yyo, ++ yysymbol_kind_t yykind, YYSTYPE const * const yyvaluep, YYLTYPE const * const yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++{ ++ YYFPRINTF (yyo, "%s %s (", ++ yykind < YYNTOKENS ? "token" : "nterm", yysymbol_name (yykind)); ++ ++ YY_LOCATION_PRINT (yyo, *yylocationp); ++ YYFPRINTF (yyo, ": "); ++ yy_symbol_value_print (yyo, yykind, yyvaluep, yylocationp, answer, errors, locations, lexer_param_ptr); ++ YYFPRINTF (yyo, ")"); ++} ++ ++/*------------------------------------------------------------------. ++| yy_stack_print -- Print the state stack from its BOTTOM up to its | ++| TOP (included). | ++`------------------------------------------------------------------*/ ++ ++static void ++yy_stack_print (yy_state_t *yybottom, yy_state_t *yytop) ++{ ++ YYFPRINTF (stderr, "Stack now"); ++ for (; yybottom <= yytop; yybottom++) ++ { ++ int yybot = *yybottom; ++ YYFPRINTF (stderr, " %d", yybot); ++ } ++ YYFPRINTF (stderr, "\n"); ++} ++ ++# define YY_STACK_PRINT(Bottom, Top) \ ++do { \ ++ if (yydebug) \ ++ yy_stack_print ((Bottom), (Top)); \ ++} while (0) ++ ++ ++/*------------------------------------------------. ++| Report that the YYRULE is going to be reduced. | ++`------------------------------------------------*/ ++ ++static void ++yy_reduce_print (yy_state_t *yyssp, YYSTYPE *yyvsp, YYLTYPE *yylsp, ++ int yyrule, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++{ ++ int yylno = yyrline[yyrule]; ++ int yynrhs = yyr2[yyrule]; ++ int yyi; ++ YYFPRINTF (stderr, "Reducing stack by rule %d (line %d):\n", ++ yyrule - 1, yylno); ++ /* The symbols being reduced. */ ++ for (yyi = 0; yyi < yynrhs; yyi++) ++ { ++ YYFPRINTF (stderr, " $%d = ", yyi + 1); ++ yy_symbol_print (stderr, ++ YY_ACCESSING_SYMBOL (+yyssp[yyi + 1 - yynrhs]), ++ &yyvsp[(yyi + 1) - (yynrhs)], ++ &(yylsp[(yyi + 1) - (yynrhs)]), answer, errors, locations, lexer_param_ptr); ++ YYFPRINTF (stderr, "\n"); ++ } ++} ++ ++# define YY_REDUCE_PRINT(Rule) \ ++do { \ ++ if (yydebug) \ ++ yy_reduce_print (yyssp, yyvsp, yylsp, Rule, answer, errors, locations, lexer_param_ptr); \ ++} while (0) ++ ++/* Nonzero means print parse trace. It is left uninitialized so that ++ multiple parsers can coexist. */ ++int yydebug; ++#else /* !YYDEBUG */ ++# define YYDPRINTF(Args) ((void) 0) ++# define YY_SYMBOL_PRINT(Title, Kind, Value, Location) ++# define YY_STACK_PRINT(Bottom, Top) ++# define YY_REDUCE_PRINT(Rule) ++#endif /* !YYDEBUG */ ++ ++ ++/* YYINITDEPTH -- initial size of the parser's stacks. */ ++#ifndef YYINITDEPTH ++# define YYINITDEPTH 200 ++#endif ++ ++/* YYMAXDEPTH -- maximum size the stacks can grow to (effective only ++ if the built-in stack extension method is used). ++ ++ Do not make this value too large; the results are undefined if ++ YYSTACK_ALLOC_MAXIMUM < YYSTACK_BYTES (YYMAXDEPTH) ++ evaluated with infinite-precision integer arithmetic. */ ++ ++#ifndef YYMAXDEPTH ++# define YYMAXDEPTH 10000 ++#endif ++ ++ ++/* Context of a parse error. */ ++typedef struct ++{ ++ yy_state_t *yyssp; ++ yysymbol_kind_t yytoken; ++ YYLTYPE *yylloc; ++} yypcontext_t; ++ ++/* Put in YYARG at most YYARGN of the expected tokens given the ++ current YYCTX, and return the number of tokens stored in YYARG. If ++ YYARG is null, return the number of expected tokens (guaranteed to ++ be less than YYNTOKENS). Return YYENOMEM on memory exhaustion. ++ Return 0 if there are more than YYARGN expected tokens, yet fill ++ YYARG up to YYARGN. */ ++static int ++yypcontext_expected_tokens (const yypcontext_t *yyctx, ++ yysymbol_kind_t yyarg[], int yyargn) ++{ ++ /* Actual size of YYARG. */ ++ int yycount = 0; ++ int yyn = yypact[+*yyctx->yyssp]; ++ if (!yypact_value_is_default (yyn)) ++ { ++ /* Start YYX at -YYN if negative to avoid negative indexes in ++ YYCHECK. In other words, skip the first -YYN actions for ++ this state because they are default actions. */ ++ int yyxbegin = yyn < 0 ? -yyn : 0; ++ /* Stay within bounds of both yycheck and yytname. */ ++ int yychecklim = YYLAST - yyn + 1; ++ int yyxend = yychecklim < YYNTOKENS ? yychecklim : YYNTOKENS; ++ int yyx; ++ for (yyx = yyxbegin; yyx < yyxend; ++yyx) ++ if (yycheck[yyx + yyn] == yyx && yyx != YYSYMBOL_YYerror ++ && !yytable_value_is_error (yytable[yyx + yyn])) ++ { ++ if (!yyarg) ++ ++yycount; ++ else if (yycount == yyargn) ++ return 0; ++ else ++ yyarg[yycount++] = YY_CAST (yysymbol_kind_t, yyx); ++ } ++ } ++ if (yyarg && yycount == 0 && 0 < yyargn) ++ yyarg[0] = YYSYMBOL_YYEMPTY; ++ return yycount; ++} ++ ++ ++ ++ ++#ifndef yystrlen ++# if defined __GLIBC__ && defined _STRING_H ++# define yystrlen(S) (YY_CAST (YYPTRDIFF_T, strlen (S))) ++# else ++/* Return the length of YYSTR. */ ++static YYPTRDIFF_T ++yystrlen (const char *yystr) ++{ ++ YYPTRDIFF_T yylen; ++ for (yylen = 0; yystr[yylen]; yylen++) ++ continue; ++ return yylen; ++} ++# endif ++#endif ++ ++#ifndef yystpcpy ++# if defined __GLIBC__ && defined _STRING_H && defined _GNU_SOURCE ++# define yystpcpy stpcpy ++# else ++/* Copy YYSRC to YYDEST, returning the address of the terminating '\0' in ++ YYDEST. */ ++static char * ++yystpcpy (char *yydest, const char *yysrc) ++{ ++ char *yyd = yydest; ++ const char *yys = yysrc; ++ ++ while ((*yyd++ = *yys++) != '\0') ++ continue; ++ ++ return yyd - 1; ++} ++# endif ++#endif ++ ++#ifndef yytnamerr ++/* Copy to YYRES the contents of YYSTR after stripping away unnecessary ++ quotes and backslashes, so that it's suitable for yyerror. The ++ heuristic is that double-quoting is unnecessary unless the string ++ contains an apostrophe, a comma, or backslash (other than ++ backslash-backslash). YYSTR is taken from yytname. If YYRES is ++ null, do not copy; instead, return the length of what the result ++ would have been. */ ++static YYPTRDIFF_T ++yytnamerr (char *yyres, const char *yystr) ++{ ++ if (*yystr == '"') ++ { ++ YYPTRDIFF_T yyn = 0; ++ char const *yyp = yystr; ++ for (;;) ++ switch (*++yyp) ++ { ++ case '\'': ++ case ',': ++ goto do_not_strip_quotes; ++ ++ case '\\': ++ if (*++yyp != '\\') ++ goto do_not_strip_quotes; ++ else ++ goto append; ++ ++ append: ++ default: ++ if (yyres) ++ yyres[yyn] = *yyp; ++ yyn++; ++ break; ++ ++ case '"': ++ if (yyres) ++ yyres[yyn] = '\0'; ++ return yyn; ++ } ++ do_not_strip_quotes: ; ++ } ++ ++ if (yyres) ++ return yystpcpy (yyres, yystr) - yyres; ++ else ++ return yystrlen (yystr); ++} ++#endif ++ ++ ++static int ++yy_syntax_error_arguments (const yypcontext_t *yyctx, ++ yysymbol_kind_t yyarg[], int yyargn) ++{ ++ /* Actual size of YYARG. */ ++ int yycount = 0; ++ /* There are many possibilities here to consider: ++ - If this state is a consistent state with a default action, then ++ the only way this function was invoked is if the default action ++ is an error action. In that case, don't check for expected ++ tokens because there are none. ++ - The only way there can be no lookahead present (in yychar) is if ++ this state is a consistent state with a default action. Thus, ++ detecting the absence of a lookahead is sufficient to determine ++ that there is no unexpected or expected token to report. In that ++ case, just report a simple "syntax error". ++ - Don't assume there isn't a lookahead just because this state is a ++ consistent state with a default action. There might have been a ++ previous inconsistent state, consistent state with a non-default ++ action, or user semantic action that manipulated yychar. ++ - Of course, the expected token list depends on states to have ++ correct lookahead information, and it depends on the parser not ++ to perform extra reductions after fetching a lookahead from the ++ scanner and before detecting a syntax error. Thus, state merging ++ (from LALR or IELR) and default reductions corrupt the expected ++ token list. However, the list is correct for canonical LR with ++ one exception: it will still contain any token that will not be ++ accepted due to an error action in a later state. ++ */ ++ if (yyctx->yytoken != YYSYMBOL_YYEMPTY) ++ { ++ int yyn; ++ if (yyarg) ++ yyarg[yycount] = yyctx->yytoken; ++ ++yycount; ++ yyn = yypcontext_expected_tokens (yyctx, ++ yyarg ? yyarg + 1 : yyarg, yyargn - 1); ++ if (yyn == YYENOMEM) ++ return YYENOMEM; ++ else ++ yycount += yyn; ++ } ++ return yycount; ++} ++ ++/* Copy into *YYMSG, which is of size *YYMSG_ALLOC, an error message ++ about the unexpected token YYTOKEN for the state stack whose top is ++ YYSSP. ++ ++ Return 0 if *YYMSG was successfully written. Return -1 if *YYMSG is ++ not large enough to hold the message. In that case, also set ++ *YYMSG_ALLOC to the required number of bytes. Return YYENOMEM if the ++ required number of bytes is too large to store. */ ++static int ++yysyntax_error (YYPTRDIFF_T *yymsg_alloc, char **yymsg, ++ const yypcontext_t *yyctx) ++{ ++ enum { YYARGS_MAX = 5 }; ++ /* Internationalized format string. */ ++ const char *yyformat = YY_NULLPTR; ++ /* Arguments of yyformat: reported tokens (one for the "unexpected", ++ one per "expected"). */ ++ yysymbol_kind_t yyarg[YYARGS_MAX]; ++ /* Cumulated lengths of YYARG. */ ++ YYPTRDIFF_T yysize = 0; ++ ++ /* Actual size of YYARG. */ ++ int yycount = yy_syntax_error_arguments (yyctx, yyarg, YYARGS_MAX); ++ if (yycount == YYENOMEM) ++ return YYENOMEM; ++ ++ switch (yycount) ++ { ++#define YYCASE_(N, S) \ ++ case N: \ ++ yyformat = S; \ ++ break ++ default: /* Avoid compiler warnings. */ ++ YYCASE_(0, YY_("syntax error")); ++ YYCASE_(1, YY_("syntax error, unexpected %s")); ++ YYCASE_(2, YY_("syntax error, unexpected %s, expecting %s")); ++ YYCASE_(3, YY_("syntax error, unexpected %s, expecting %s or %s")); ++ YYCASE_(4, YY_("syntax error, unexpected %s, expecting %s or %s or %s")); ++ YYCASE_(5, YY_("syntax error, unexpected %s, expecting %s or %s or %s or %s")); ++#undef YYCASE_ ++ } ++ ++ /* Compute error message size. Don't count the "%s"s, but reserve ++ room for the terminator. */ ++ yysize = yystrlen (yyformat) - 2 * yycount + 1; ++ { ++ int yyi; ++ for (yyi = 0; yyi < yycount; ++yyi) ++ { ++ YYPTRDIFF_T yysize1 ++ = yysize + yytnamerr (YY_NULLPTR, yytname[yyarg[yyi]]); ++ if (yysize <= yysize1 && yysize1 <= YYSTACK_ALLOC_MAXIMUM) ++ yysize = yysize1; ++ else ++ return YYENOMEM; ++ } ++ } ++ ++ if (*yymsg_alloc < yysize) ++ { ++ *yymsg_alloc = 2 * yysize; ++ if (! (yysize <= *yymsg_alloc ++ && *yymsg_alloc <= YYSTACK_ALLOC_MAXIMUM)) ++ *yymsg_alloc = YYSTACK_ALLOC_MAXIMUM; ++ return -1; ++ } ++ ++ /* Avoid sprintf, as that infringes on the user's name space. ++ Don't have undefined behavior even if the translation ++ produced a string with the wrong number of "%s"s. */ ++ { ++ char *yyp = *yymsg; ++ int yyi = 0; ++ while ((*yyp = *yyformat) != '\0') ++ if (*yyp == '%' && yyformat[1] == 's' && yyi < yycount) ++ { ++ yyp += yytnamerr (yyp, yytname[yyarg[yyi++]]); ++ yyformat += 2; ++ } ++ else ++ { ++ ++yyp; ++ ++yyformat; ++ } ++ } ++ return 0; ++} ++ ++ ++/*-----------------------------------------------. ++| Release the memory associated to this symbol. | ++`-----------------------------------------------*/ ++ ++static void ++yydestruct (const char *yymsg, ++ yysymbol_kind_t yykind, YYSTYPE *yyvaluep, YYLTYPE *yylocationp, block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++{ ++ YYUSE (yyvaluep); ++ YYUSE (yylocationp); ++ YYUSE (answer); ++ YYUSE (errors); ++ YYUSE (locations); ++ YYUSE (lexer_param_ptr); ++ if (!yymsg) ++ yymsg = "Deleting"; ++ YY_SYMBOL_PRINT (yymsg, yykind, yyvaluep, yylocationp); ++ ++ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++ switch (yykind) ++ { ++ case YYSYMBOL_IDENT: /* IDENT */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2159 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_FIELD: /* FIELD */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2165 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_LITERAL: /* LITERAL */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2171 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_FORMAT: /* FORMAT */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2177 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_QQSTRING_TEXT: /* QQSTRING_TEXT */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2183 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Module: /* Module */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2189 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Imports: /* Imports */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2195 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_FuncDefs: /* FuncDefs */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2201 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Exp: /* Exp */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2207 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Import: /* Import */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2213 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ImportWhat: /* ImportWhat */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2219 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ImportFrom: /* ImportFrom */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2225 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_FuncDef: /* FuncDef */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2231 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Params: /* Params */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2237 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Param: /* Param */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2243 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_String: /* String */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2249 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_QQString: /* QQString */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2255 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ElseBody: /* ElseBody */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2261 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ExpD: /* ExpD */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2267 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Term: /* Term */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2273 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Args: /* Args */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2279 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Arg: /* Arg */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2285 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_RepPatterns: /* RepPatterns */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2291 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Patterns: /* Patterns */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2297 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Pattern: /* Pattern */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2303 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ArrayPats: /* ArrayPats */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2309 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ObjPats: /* ObjPats */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2315 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_ObjPat: /* ObjPat */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2321 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_Keyword: /* Keyword */ ++#line 36 "parser.y" ++ { jv_free(((*yyvaluep).literal)); } ++#line 2327 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_MkDict: /* MkDict */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2333 "y.tab.c" ++ break; ++ ++ case YYSYMBOL_MkDictPair: /* MkDictPair */ ++#line 37 "parser.y" ++ { block_free(((*yyvaluep).blk)); } ++#line 2339 "y.tab.c" ++ break; ++ ++ default: ++ break; ++ } ++ YY_IGNORE_MAYBE_UNINITIALIZED_END ++} ++ ++ ++ ++ ++ ++ ++/*----------. ++| yyparse. | ++`----------*/ ++ ++int ++yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr) ++{ ++/* Lookahead token kind. */ ++int yychar; ++ ++ ++/* The semantic value of the lookahead symbol. */ ++/* Default value used for initialization, for pacifying older GCCs ++ or non-GCC compilers. */ ++YY_INITIAL_VALUE (static YYSTYPE yyval_default;) ++YYSTYPE yylval YY_INITIAL_VALUE (= yyval_default); ++ ++/* Location data for the lookahead symbol. */ ++static YYLTYPE yyloc_default ++# if defined YYLTYPE_IS_TRIVIAL && YYLTYPE_IS_TRIVIAL ++ = { 1, 1, 1, 1 } ++# endif ++; ++YYLTYPE yylloc = yyloc_default; ++ ++ /* Number of syntax errors so far. */ ++ int yynerrs = 0; ++ ++ yy_state_fast_t yystate = 0; ++ /* Number of tokens to shift before error messages enabled. */ ++ int yyerrstatus = 0; ++ ++ /* Refer to the stacks through separate pointers, to allow yyoverflow ++ to reallocate them elsewhere. */ ++ ++ /* Their size. */ ++ YYPTRDIFF_T yystacksize = YYINITDEPTH; ++ ++ /* The state stack: array, bottom, top. */ ++ yy_state_t yyssa[YYINITDEPTH]; ++ yy_state_t *yyss = yyssa; ++ yy_state_t *yyssp = yyss; ++ ++ /* The semantic value stack: array, bottom, top. */ ++ YYSTYPE yyvsa[YYINITDEPTH]; ++ YYSTYPE *yyvs = yyvsa; ++ YYSTYPE *yyvsp = yyvs; ++ ++ /* The location stack: array, bottom, top. */ ++ YYLTYPE yylsa[YYINITDEPTH]; ++ YYLTYPE *yyls = yylsa; ++ YYLTYPE *yylsp = yyls; ++ ++ int yyn; ++ /* The return value of yyparse. */ ++ int yyresult; ++ /* Lookahead symbol kind. */ ++ yysymbol_kind_t yytoken = YYSYMBOL_YYEMPTY; ++ /* The variables used to return semantic value and location from the ++ action routines. */ ++ YYSTYPE yyval; ++ YYLTYPE yyloc; ++ ++ /* The locations where the error started and ended. */ ++ YYLTYPE yyerror_range[3]; ++ ++ /* Buffer for error messages, and its allocated size. */ ++ char yymsgbuf[128]; ++ char *yymsg = yymsgbuf; ++ YYPTRDIFF_T yymsg_alloc = sizeof yymsgbuf; ++ ++#define YYPOPSTACK(N) (yyvsp -= (N), yyssp -= (N), yylsp -= (N)) ++ ++ /* The number of symbols on the RHS of the reduced rule. ++ Keep to zero when no symbol should be popped. */ ++ int yylen = 0; ++ ++ YYDPRINTF ((stderr, "Starting parse\n")); ++ ++ yychar = YYEMPTY; /* Cause a token to be read. */ ++ yylsp[0] = yylloc; ++ goto yysetstate; ++ ++ ++/*------------------------------------------------------------. ++| yynewstate -- push a new state, which is found in yystate. | ++`------------------------------------------------------------*/ ++yynewstate: ++ /* In all cases, when you get here, the value and location stacks ++ have just been pushed. So pushing a state here evens the stacks. */ ++ yyssp++; ++ ++ ++/*--------------------------------------------------------------------. ++| yysetstate -- set current state (the top of the stack) to yystate. | ++`--------------------------------------------------------------------*/ ++yysetstate: ++ YYDPRINTF ((stderr, "Entering state %d\n", yystate)); ++ YY_ASSERT (0 <= yystate && yystate < YYNSTATES); ++ YY_IGNORE_USELESS_CAST_BEGIN ++ *yyssp = YY_CAST (yy_state_t, yystate); ++ YY_IGNORE_USELESS_CAST_END ++ YY_STACK_PRINT (yyss, yyssp); ++ ++ if (yyss + yystacksize - 1 <= yyssp) ++#if !defined yyoverflow && !defined YYSTACK_RELOCATE ++ goto yyexhaustedlab; ++#else ++ { ++ /* Get the current used size of the three stacks, in elements. */ ++ YYPTRDIFF_T yysize = yyssp - yyss + 1; ++ ++# if defined yyoverflow ++ { ++ /* Give user a chance to reallocate the stack. Use copies of ++ these so that the &'s don't force the real ones into ++ memory. */ ++ yy_state_t *yyss1 = yyss; ++ YYSTYPE *yyvs1 = yyvs; ++ YYLTYPE *yyls1 = yyls; ++ ++ /* Each stack pointer address is followed by the size of the ++ data in use in that stack, in bytes. This used to be a ++ conditional around just the two extra args, but that might ++ be undefined if yyoverflow is a macro. */ ++ yyoverflow (YY_("memory exhausted"), ++ &yyss1, yysize * YYSIZEOF (*yyssp), ++ &yyvs1, yysize * YYSIZEOF (*yyvsp), ++ &yyls1, yysize * YYSIZEOF (*yylsp), ++ &yystacksize); ++ yyss = yyss1; ++ yyvs = yyvs1; ++ yyls = yyls1; ++ } ++# else /* defined YYSTACK_RELOCATE */ ++ /* Extend the stack our own way. */ ++ if (YYMAXDEPTH <= yystacksize) ++ goto yyexhaustedlab; ++ yystacksize *= 2; ++ if (YYMAXDEPTH < yystacksize) ++ yystacksize = YYMAXDEPTH; ++ ++ { ++ yy_state_t *yyss1 = yyss; ++ union yyalloc *yyptr = ++ YY_CAST (union yyalloc *, ++ YYSTACK_ALLOC (YY_CAST (YYSIZE_T, YYSTACK_BYTES (yystacksize)))); ++ if (! yyptr) ++ goto yyexhaustedlab; ++ YYSTACK_RELOCATE (yyss_alloc, yyss); ++ YYSTACK_RELOCATE (yyvs_alloc, yyvs); ++ YYSTACK_RELOCATE (yyls_alloc, yyls); ++# undef YYSTACK_RELOCATE ++ if (yyss1 != yyssa) ++ YYSTACK_FREE (yyss1); ++ } ++# endif ++ ++ yyssp = yyss + yysize - 1; ++ yyvsp = yyvs + yysize - 1; ++ yylsp = yyls + yysize - 1; ++ ++ YY_IGNORE_USELESS_CAST_BEGIN ++ YYDPRINTF ((stderr, "Stack size increased to %ld\n", ++ YY_CAST (long, yystacksize))); ++ YY_IGNORE_USELESS_CAST_END ++ ++ if (yyss + yystacksize - 1 <= yyssp) ++ YYABORT; ++ } ++#endif /* !defined yyoverflow && !defined YYSTACK_RELOCATE */ ++ ++ if (yystate == YYFINAL) ++ YYACCEPT; ++ ++ goto yybackup; ++ ++ ++/*-----------. ++| yybackup. | ++`-----------*/ ++yybackup: ++ /* Do appropriate processing given the current state. Read a ++ lookahead token if we need one and don't already have one. */ ++ ++ /* First try to decide what to do without reference to lookahead token. */ ++ yyn = yypact[yystate]; ++ if (yypact_value_is_default (yyn)) ++ goto yydefault; ++ ++ /* Not known => get a lookahead token if don't already have one. */ ++ ++ /* YYCHAR is either empty, or end-of-input, or a valid lookahead. */ ++ if (yychar == YYEMPTY) ++ { ++ YYDPRINTF ((stderr, "Reading a token\n")); ++ yychar = yylex (&yylval, &yylloc, answer, errors, locations, lexer_param_ptr); ++ } ++ ++ if (yychar <= YYEOF) ++ { ++ yychar = YYEOF; ++ yytoken = YYSYMBOL_YYEOF; ++ YYDPRINTF ((stderr, "Now at end of input.\n")); ++ } ++ else if (yychar == YYerror) ++ { ++ /* The scanner already issued an error message, process directly ++ to error recovery. But do not keep the error token as ++ lookahead, it is too special and may lead us to an endless ++ loop in error recovery. */ ++ yychar = YYUNDEF; ++ yytoken = YYSYMBOL_YYerror; ++ yyerror_range[1] = yylloc; ++ goto yyerrlab1; ++ } ++ else ++ { ++ yytoken = YYTRANSLATE (yychar); ++ YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc); ++ } ++ ++ /* If the proper action on seeing token YYTOKEN is to reduce or to ++ detect an error, take that action. */ ++ yyn += yytoken; ++ if (yyn < 0 || YYLAST < yyn || yycheck[yyn] != yytoken) ++ goto yydefault; ++ yyn = yytable[yyn]; ++ if (yyn <= 0) ++ { ++ if (yytable_value_is_error (yyn)) ++ goto yyerrlab; ++ yyn = -yyn; ++ goto yyreduce; ++ } ++ ++ /* Count tokens shifted since error; after three, turn off error ++ status. */ ++ if (yyerrstatus) ++ yyerrstatus--; ++ ++ /* Shift the lookahead token. */ ++ YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc); ++ yystate = yyn; ++ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++ *++yyvsp = yylval; ++ YY_IGNORE_MAYBE_UNINITIALIZED_END ++ *++yylsp = yylloc; ++ ++ /* Discard the shifted token. */ ++ yychar = YYEMPTY; ++ goto yynewstate; ++ ++ ++/*-----------------------------------------------------------. ++| yydefault -- do the default action for the current state. | ++`-----------------------------------------------------------*/ ++yydefault: ++ yyn = yydefact[yystate]; ++ if (yyn == 0) ++ goto yyerrlab; ++ goto yyreduce; ++ ++ ++/*-----------------------------. ++| yyreduce -- do a reduction. | ++`-----------------------------*/ ++yyreduce: ++ /* yyn is the number of a rule to reduce with. */ ++ yylen = yyr2[yyn]; ++ ++ /* If YYLEN is nonzero, implement the default value of the action: ++ '$$ = $1'. ++ ++ Otherwise, the following line sets YYVAL to garbage. ++ This behavior is undocumented and Bison ++ users should not rely upon it. Assigning to YYVAL ++ unconditionally makes the parser a bit smaller, and it avoids a ++ GCC warning that YYVAL may be used uninitialized. */ ++ yyval = yyvsp[1-yylen]; ++ ++ /* Default location. */ ++ YYLLOC_DEFAULT (yyloc, (yylsp - yylen), yylen); ++ yyerror_range[1] = yyloc; ++ YY_REDUCE_PRINT (yyn); ++ switch (yyn) ++ { ++ case 2: /* TopLevel: Module Imports Exp */ ++#line 306 "parser.y" ++ { ++ *answer = BLOCK((yyvsp[-2].blk), (yyvsp[-1].blk), gen_op_simple(TOP), (yyvsp[0].blk)); ++} ++#line 2645 "y.tab.c" ++ break; ++ ++ case 3: /* TopLevel: Module Imports FuncDefs */ ++#line 309 "parser.y" ++ { ++ *answer = BLOCK((yyvsp[-2].blk), (yyvsp[-1].blk), (yyvsp[0].blk)); ++} ++#line 2653 "y.tab.c" ++ break; ++ ++ case 4: /* Module: %empty */ ++#line 314 "parser.y" ++ { ++ (yyval.blk) = gen_noop(); ++} ++#line 2661 "y.tab.c" ++ break; ++ ++ case 5: /* Module: "module" Exp ';' */ ++#line 317 "parser.y" ++ { ++ if (!block_is_const((yyvsp[-1].blk))) { ++ FAIL((yyloc), "Module metadata must be constant"); ++ (yyval.blk) = gen_noop(); ++ block_free((yyvsp[-1].blk)); ++ } else { ++ (yyval.blk) = gen_module((yyvsp[-1].blk)); ++ } ++} ++#line 2675 "y.tab.c" ++ break; ++ ++ case 6: /* Imports: %empty */ ++#line 328 "parser.y" ++ { ++ (yyval.blk) = gen_noop(); ++} ++#line 2683 "y.tab.c" ++ break; ++ ++ case 7: /* Imports: Import Imports */ ++#line 331 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-1].blk), (yyvsp[0].blk)); ++} ++#line 2691 "y.tab.c" ++ break; ++ ++ case 8: /* FuncDefs: %empty */ ++#line 336 "parser.y" ++ { ++ (yyval.blk) = gen_noop(); ++} ++#line 2699 "y.tab.c" ++ break; ++ ++ case 9: /* FuncDefs: FuncDef FuncDefs */ ++#line 339 "parser.y" ++ { ++ (yyval.blk) = block_bind((yyvsp[-1].blk), (yyvsp[0].blk), OP_IS_CALL_PSEUDO); ++} ++#line 2707 "y.tab.c" ++ break; ++ ++ case 10: /* Exp: FuncDef Exp */ ++#line 344 "parser.y" ++ { ++ (yyval.blk) = block_bind_referenced((yyvsp[-1].blk), (yyvsp[0].blk), OP_IS_CALL_PSEUDO); ++} ++#line 2715 "y.tab.c" ++ break; ++ ++ case 11: /* Exp: Term "as" Patterns '|' Exp */ ++#line 348 "parser.y" ++ { ++ (yyval.blk) = gen_destructure((yyvsp[-4].blk), (yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2723 "y.tab.c" ++ break; ++ ++ case 12: /* Exp: "reduce" Term "as" Patterns '(' Exp ';' Exp ')' */ ++#line 351 "parser.y" ++ { ++ (yyval.blk) = gen_reduce((yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk)); ++} ++#line 2731 "y.tab.c" ++ break; ++ ++ case 13: /* Exp: "foreach" Term "as" Patterns '(' Exp ';' Exp ';' Exp ')' */ ++#line 355 "parser.y" ++ { ++ (yyval.blk) = gen_foreach((yyvsp[-9].blk), (yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk)); ++} ++#line 2739 "y.tab.c" ++ break; ++ ++ case 14: /* Exp: "foreach" Term "as" Patterns '(' Exp ';' Exp ')' */ ++#line 359 "parser.y" ++ { ++ (yyval.blk) = gen_foreach((yyvsp[-7].blk), (yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk), gen_noop()); ++} ++#line 2747 "y.tab.c" ++ break; ++ ++ case 15: /* Exp: "if" Exp "then" Exp ElseBody */ ++#line 363 "parser.y" ++ { ++ (yyval.blk) = gen_cond((yyvsp[-3].blk), (yyvsp[-1].blk), (yyvsp[0].blk)); ++} ++#line 2755 "y.tab.c" ++ break; ++ ++ case 16: /* Exp: "if" Exp "then" error */ ++#line 366 "parser.y" ++ { ++ FAIL((yyloc), "Possibly unterminated 'if' statement"); ++ (yyval.blk) = (yyvsp[-2].blk); ++} ++#line 2764 "y.tab.c" ++ break; ++ ++ case 17: /* Exp: "try" Exp "catch" Exp */ ++#line 371 "parser.y" ++ { ++ //$$ = BLOCK(gen_op_target(FORK_OPT, $2), $2, $4); ++ (yyval.blk) = gen_try((yyvsp[-2].blk), gen_try_handler((yyvsp[0].blk))); ++} ++#line 2773 "y.tab.c" ++ break; ++ ++ case 18: /* Exp: "try" Exp */ ++#line 375 "parser.y" ++ { ++ //$$ = BLOCK(gen_op_target(FORK_OPT, $2), $2, gen_op_simple(BACKTRACK)); ++ (yyval.blk) = gen_try((yyvsp[0].blk), gen_op_simple(BACKTRACK)); ++} ++#line 2782 "y.tab.c" ++ break; ++ ++ case 19: /* Exp: "try" Exp "catch" error */ ++#line 379 "parser.y" ++ { ++ FAIL((yyloc), "Possibly unterminated 'try' statement"); ++ (yyval.blk) = (yyvsp[-2].blk); ++} ++#line 2791 "y.tab.c" ++ break; ++ ++ case 20: /* Exp: "label" '$' IDENT '|' Exp */ ++#line 384 "parser.y" ++ { ++ jv v = jv_string_fmt("*label-%s", jv_string_value((yyvsp[-2].literal))); ++ (yyval.blk) = gen_location((yyloc), locations, gen_label(jv_string_value(v), (yyvsp[0].blk))); ++ jv_free((yyvsp[-2].literal)); ++ jv_free(v); ++} ++#line 2802 "y.tab.c" ++ break; ++ ++ case 21: /* Exp: Exp '?' */ ++#line 391 "parser.y" ++ { ++ (yyval.blk) = gen_try((yyvsp[-1].blk), gen_op_simple(BACKTRACK)); ++} ++#line 2810 "y.tab.c" ++ break; ++ ++ case 22: /* Exp: Exp '=' Exp */ ++#line 395 "parser.y" ++ { ++ (yyval.blk) = gen_call("_assign", BLOCK(gen_lambda((yyvsp[-2].blk)), gen_lambda((yyvsp[0].blk)))); ++} ++#line 2818 "y.tab.c" ++ break; ++ ++ case 23: /* Exp: Exp "or" Exp */ ++#line 399 "parser.y" ++ { ++ (yyval.blk) = gen_or((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2826 "y.tab.c" ++ break; ++ ++ case 24: /* Exp: Exp "and" Exp */ ++#line 403 "parser.y" ++ { ++ (yyval.blk) = gen_and((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2834 "y.tab.c" ++ break; ++ ++ case 25: /* Exp: Exp "//" Exp */ ++#line 407 "parser.y" ++ { ++ (yyval.blk) = gen_definedor((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2842 "y.tab.c" ++ break; ++ ++ case 26: /* Exp: Exp "//=" Exp */ ++#line 411 "parser.y" ++ { ++ (yyval.blk) = gen_definedor_assign((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2850 "y.tab.c" ++ break; ++ ++ case 27: /* Exp: Exp "|=" Exp */ ++#line 415 "parser.y" ++ { ++ (yyval.blk) = gen_call("_modify", BLOCK(gen_lambda((yyvsp[-2].blk)), gen_lambda((yyvsp[0].blk)))); ++} ++#line 2858 "y.tab.c" ++ break; ++ ++ case 28: /* Exp: Exp '|' Exp */ ++#line 419 "parser.y" ++ { ++ (yyval.blk) = block_join((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2866 "y.tab.c" ++ break; ++ ++ case 29: /* Exp: Exp ',' Exp */ ++#line 423 "parser.y" ++ { ++ (yyval.blk) = gen_both((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 2874 "y.tab.c" ++ break; ++ ++ case 30: /* Exp: Exp '+' Exp */ ++#line 427 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '+'); ++} ++#line 2882 "y.tab.c" ++ break; ++ ++ case 31: /* Exp: Exp "+=" Exp */ ++#line 431 "parser.y" ++ { ++ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '+'); ++} ++#line 2890 "y.tab.c" ++ break; ++ ++ case 32: /* Exp: '-' Exp */ ++#line 435 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[0].blk), gen_call("_negate", gen_noop())); ++} ++#line 2898 "y.tab.c" ++ break; ++ ++ case 33: /* Exp: Exp '-' Exp */ ++#line 439 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '-'); ++} ++#line 2906 "y.tab.c" ++ break; ++ ++ case 34: /* Exp: Exp "-=" Exp */ ++#line 443 "parser.y" ++ { ++ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '-'); ++} ++#line 2914 "y.tab.c" ++ break; ++ ++ case 35: /* Exp: Exp '*' Exp */ ++#line 447 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '*'); ++} ++#line 2922 "y.tab.c" ++ break; ++ ++ case 36: /* Exp: Exp "*=" Exp */ ++#line 451 "parser.y" ++ { ++ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '*'); ++} ++#line 2930 "y.tab.c" ++ break; ++ ++ case 37: /* Exp: Exp '/' Exp */ ++#line 455 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '/'); ++ if (block_is_const_inf((yyval.blk))) ++ FAIL((yyloc), "Division by zero?"); ++} ++#line 2940 "y.tab.c" ++ break; ++ ++ case 38: /* Exp: Exp '%' Exp */ ++#line 461 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '%'); ++ if (block_is_const_inf((yyval.blk))) ++ FAIL((yyloc), "Remainder by zero?"); ++} ++#line 2950 "y.tab.c" ++ break; ++ ++ case 39: /* Exp: Exp "/=" Exp */ ++#line 467 "parser.y" ++ { ++ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '/'); ++} ++#line 2958 "y.tab.c" ++ break; ++ ++ case 40: /* Exp: Exp "%=" Exp */ ++#line 471 "parser.y" ++ { ++ (yyval.blk) = gen_update((yyvsp[-2].blk), (yyvsp[0].blk), '%'); ++} ++#line 2966 "y.tab.c" ++ break; ++ ++ case 41: /* Exp: Exp "==" Exp */ ++#line 475 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), EQ); ++} ++#line 2974 "y.tab.c" ++ break; ++ ++ case 42: /* Exp: Exp "!=" Exp */ ++#line 479 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), NEQ); ++} ++#line 2982 "y.tab.c" ++ break; ++ ++ case 43: /* Exp: Exp '<' Exp */ ++#line 483 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '<'); ++} ++#line 2990 "y.tab.c" ++ break; ++ ++ case 44: /* Exp: Exp '>' Exp */ ++#line 487 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), '>'); ++} ++#line 2998 "y.tab.c" ++ break; ++ ++ case 45: /* Exp: Exp "<=" Exp */ ++#line 491 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), LESSEQ); ++} ++#line 3006 "y.tab.c" ++ break; ++ ++ case 46: /* Exp: Exp ">=" Exp */ ++#line 495 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-2].blk), (yyvsp[0].blk), GREATEREQ); ++} ++#line 3014 "y.tab.c" ++ break; ++ ++ case 47: /* Exp: Term */ ++#line 499 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3022 "y.tab.c" ++ break; ++ ++ case 48: /* Import: ImportWhat ';' */ ++#line 504 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[-1].blk); ++} ++#line 3030 "y.tab.c" ++ break; ++ ++ case 49: /* Import: ImportWhat Exp ';' */ ++#line 507 "parser.y" ++ { ++ if (!block_is_const((yyvsp[-1].blk))) { ++ FAIL((yyloc), "Module metadata must be constant"); ++ (yyval.blk) = gen_noop(); ++ block_free((yyvsp[-2].blk)); ++ block_free((yyvsp[-1].blk)); ++ } else if (block_const_kind((yyvsp[-1].blk)) != JV_KIND_OBJECT) { ++ FAIL((yyloc), "Module metadata must be an object"); ++ (yyval.blk) = gen_noop(); ++ block_free((yyvsp[-2].blk)); ++ block_free((yyvsp[-1].blk)); ++ } else { ++ (yyval.blk) = gen_import_meta((yyvsp[-2].blk), (yyvsp[-1].blk)); ++ } ++} ++#line 3050 "y.tab.c" ++ break; ++ ++ case 50: /* ImportWhat: "import" ImportFrom "as" '$' IDENT */ ++#line 524 "parser.y" ++ { ++ jv v = block_const((yyvsp[-3].blk)); ++ // XXX Make gen_import take only blocks and the int is_data so we ++ // don't have to free so much stuff here ++ (yyval.blk) = gen_import(jv_string_value(v), jv_string_value((yyvsp[0].literal)), 1); ++ block_free((yyvsp[-3].blk)); ++ jv_free((yyvsp[0].literal)); ++ jv_free(v); ++} ++#line 3064 "y.tab.c" ++ break; ++ ++ case 51: /* ImportWhat: "import" ImportFrom "as" IDENT */ ++#line 533 "parser.y" ++ { ++ jv v = block_const((yyvsp[-2].blk)); ++ (yyval.blk) = gen_import(jv_string_value(v), jv_string_value((yyvsp[0].literal)), 0); ++ block_free((yyvsp[-2].blk)); ++ jv_free((yyvsp[0].literal)); ++ jv_free(v); ++} ++#line 3076 "y.tab.c" ++ break; ++ ++ case 52: /* ImportWhat: "include" ImportFrom */ ++#line 540 "parser.y" ++ { ++ jv v = block_const((yyvsp[0].blk)); ++ (yyval.blk) = gen_import(jv_string_value(v), NULL, 0); ++ block_free((yyvsp[0].blk)); ++ jv_free(v); ++} ++#line 3087 "y.tab.c" ++ break; ++ ++ case 53: /* ImportFrom: String */ ++#line 548 "parser.y" ++ { ++ if (!block_is_const((yyvsp[0].blk))) { ++ FAIL((yyloc), "Import path must be constant"); ++ (yyval.blk) = gen_const(jv_string("")); ++ block_free((yyvsp[0].blk)); ++ } else { ++ (yyval.blk) = (yyvsp[0].blk); ++ } ++} ++#line 3101 "y.tab.c" ++ break; ++ ++ case 54: /* FuncDef: "def" IDENT ':' Exp ';' */ ++#line 559 "parser.y" ++ { ++ (yyval.blk) = gen_function(jv_string_value((yyvsp[-3].literal)), gen_noop(), (yyvsp[-1].blk)); ++ jv_free((yyvsp[-3].literal)); ++} ++#line 3110 "y.tab.c" ++ break; ++ ++ case 55: /* FuncDef: "def" IDENT '(' Params ')' ':' Exp ';' */ ++#line 564 "parser.y" ++ { ++ (yyval.blk) = gen_function(jv_string_value((yyvsp[-6].literal)), (yyvsp[-4].blk), (yyvsp[-1].blk)); ++ jv_free((yyvsp[-6].literal)); ++} ++#line 3119 "y.tab.c" ++ break; ++ ++ case 56: /* Params: Param */ ++#line 570 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3127 "y.tab.c" ++ break; ++ ++ case 57: /* Params: Params ';' Param */ ++#line 573 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3135 "y.tab.c" ++ break; ++ ++ case 58: /* Param: '$' IDENT */ ++#line 578 "parser.y" ++ { ++ (yyval.blk) = gen_param_regular(jv_string_value((yyvsp[0].literal))); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3144 "y.tab.c" ++ break; ++ ++ case 59: /* Param: IDENT */ ++#line 583 "parser.y" ++ { ++ (yyval.blk) = gen_param(jv_string_value((yyvsp[0].literal))); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3153 "y.tab.c" ++ break; ++ ++ case 60: /* @1: %empty */ ++#line 590 "parser.y" ++ { (yyval.literal) = jv_string("text"); } ++#line 3159 "y.tab.c" ++ break; ++ ++ case 61: /* String: QQSTRING_START @1 QQString QQSTRING_END */ ++#line 590 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[-1].blk); ++ jv_free((yyvsp[-2].literal)); ++} ++#line 3168 "y.tab.c" ++ break; ++ ++ case 62: /* @2: %empty */ ++#line 594 "parser.y" ++ { (yyval.literal) = (yyvsp[-1].literal); } ++#line 3174 "y.tab.c" ++ break; ++ ++ case 63: /* String: FORMAT QQSTRING_START @2 QQString QQSTRING_END */ ++#line 594 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[-1].blk); ++ jv_free((yyvsp[-2].literal)); ++} ++#line 3183 "y.tab.c" ++ break; ++ ++ case 64: /* QQString: %empty */ ++#line 601 "parser.y" ++ { ++ (yyval.blk) = gen_const(jv_string("")); ++} ++#line 3191 "y.tab.c" ++ break; ++ ++ case 65: /* QQString: QQString QQSTRING_TEXT */ ++#line 604 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-1].blk), gen_const((yyvsp[0].literal)), '+'); ++} ++#line 3199 "y.tab.c" ++ break; ++ ++ case 66: /* QQString: QQString QQSTRING_INTERP_START Exp QQSTRING_INTERP_END */ ++#line 607 "parser.y" ++ { ++ (yyval.blk) = gen_binop((yyvsp[-3].blk), gen_format((yyvsp[-1].blk), jv_copy((yyvsp[-4].literal))), '+'); ++} ++#line 3207 "y.tab.c" ++ break; ++ ++ case 67: /* ElseBody: "elif" Exp "then" Exp ElseBody */ ++#line 613 "parser.y" ++ { ++ (yyval.blk) = gen_cond((yyvsp[-3].blk), (yyvsp[-1].blk), (yyvsp[0].blk)); ++} ++#line 3215 "y.tab.c" ++ break; ++ ++ case 68: /* ElseBody: "else" Exp "end" */ ++#line 616 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[-1].blk); ++} ++#line 3223 "y.tab.c" ++ break; ++ ++ case 69: /* ExpD: ExpD '|' ExpD */ ++#line 621 "parser.y" ++ { ++ (yyval.blk) = block_join((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3231 "y.tab.c" ++ break; ++ ++ case 70: /* ExpD: '-' ExpD */ ++#line 624 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[0].blk), gen_call("_negate", gen_noop())); ++} ++#line 3239 "y.tab.c" ++ break; ++ ++ case 71: /* ExpD: Term */ ++#line 627 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3247 "y.tab.c" ++ break; ++ ++ case 72: /* Term: '.' */ ++#line 633 "parser.y" ++ { ++ (yyval.blk) = gen_noop(); ++} ++#line 3255 "y.tab.c" ++ break; ++ ++ case 73: /* Term: ".." */ ++#line 636 "parser.y" ++ { ++ (yyval.blk) = gen_call("recurse", gen_noop()); ++} ++#line 3263 "y.tab.c" ++ break; ++ ++ case 74: /* Term: "break" '$' IDENT */ ++#line 639 "parser.y" ++ { ++ jv v = jv_string_fmt("*label-%s", jv_string_value((yyvsp[0].literal))); // impossible symbol ++ (yyval.blk) = gen_location((yyloc), locations, ++ BLOCK(gen_op_unbound(LOADV, jv_string_value(v)), ++ gen_call("error", gen_noop()))); ++ jv_free(v); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3276 "y.tab.c" ++ break; ++ ++ case 75: /* Term: "break" error */ ++#line 647 "parser.y" ++ { ++ FAIL((yyloc), "break requires a label to break to"); ++ (yyval.blk) = gen_noop(); ++} ++#line 3285 "y.tab.c" ++ break; ++ ++ case 76: /* Term: Term FIELD '?' */ ++#line 651 "parser.y" ++ { ++ (yyval.blk) = gen_index_opt((yyvsp[-2].blk), gen_const((yyvsp[-1].literal))); ++} ++#line 3293 "y.tab.c" ++ break; ++ ++ case 77: /* Term: FIELD '?' */ ++#line 654 "parser.y" ++ { ++ (yyval.blk) = gen_index_opt(gen_noop(), gen_const((yyvsp[-1].literal))); ++} ++#line 3301 "y.tab.c" ++ break; ++ ++ case 78: /* Term: Term '.' String '?' */ ++#line 657 "parser.y" ++ { ++ (yyval.blk) = gen_index_opt((yyvsp[-3].blk), (yyvsp[-1].blk)); ++} ++#line 3309 "y.tab.c" ++ break; ++ ++ case 79: /* Term: '.' String '?' */ ++#line 660 "parser.y" ++ { ++ (yyval.blk) = gen_index_opt(gen_noop(), (yyvsp[-1].blk)); ++} ++#line 3317 "y.tab.c" ++ break; ++ ++ case 80: /* Term: Term FIELD */ ++#line 663 "parser.y" ++ { ++ (yyval.blk) = gen_index((yyvsp[-1].blk), gen_const((yyvsp[0].literal))); ++} ++#line 3325 "y.tab.c" ++ break; ++ ++ case 81: /* Term: FIELD */ ++#line 666 "parser.y" ++ { ++ (yyval.blk) = gen_index(gen_noop(), gen_const((yyvsp[0].literal))); ++} ++#line 3333 "y.tab.c" ++ break; ++ ++ case 82: /* Term: Term '.' String */ ++#line 669 "parser.y" ++ { ++ (yyval.blk) = gen_index((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3341 "y.tab.c" ++ break; ++ ++ case 83: /* Term: '.' String */ ++#line 672 "parser.y" ++ { ++ (yyval.blk) = gen_index(gen_noop(), (yyvsp[0].blk)); ++} ++#line 3349 "y.tab.c" ++ break; ++ ++ case 84: /* Term: '.' error */ ++#line 675 "parser.y" ++ { ++ FAIL((yyloc), "try .[\"field\"] instead of .field for unusually named fields"); ++ (yyval.blk) = gen_noop(); ++} ++#line 3358 "y.tab.c" ++ break; ++ ++ case 85: /* Term: '.' IDENT error */ ++#line 679 "parser.y" ++ { ++ jv_free((yyvsp[-1].literal)); ++ FAIL((yyloc), "try .[\"field\"] instead of .field for unusually named fields"); ++ (yyval.blk) = gen_noop(); ++} ++#line 3368 "y.tab.c" ++ break; ++ ++ case 86: /* Term: Term '[' Exp ']' '?' */ ++#line 685 "parser.y" ++ { ++ (yyval.blk) = gen_index_opt((yyvsp[-4].blk), (yyvsp[-2].blk)); ++} ++#line 3376 "y.tab.c" ++ break; ++ ++ case 87: /* Term: Term '[' Exp ']' */ ++#line 688 "parser.y" ++ { ++ (yyval.blk) = gen_index((yyvsp[-3].blk), (yyvsp[-1].blk)); ++} ++#line 3384 "y.tab.c" ++ break; ++ ++ case 88: /* Term: Term '[' ']' '?' */ ++#line 691 "parser.y" ++ { ++ (yyval.blk) = block_join((yyvsp[-3].blk), gen_op_simple(EACH_OPT)); ++} ++#line 3392 "y.tab.c" ++ break; ++ ++ case 89: /* Term: Term '[' ']' */ ++#line 694 "parser.y" ++ { ++ (yyval.blk) = block_join((yyvsp[-2].blk), gen_op_simple(EACH)); ++} ++#line 3400 "y.tab.c" ++ break; ++ ++ case 90: /* Term: Term '[' Exp ':' Exp ']' '?' */ ++#line 697 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-6].blk), (yyvsp[-4].blk), (yyvsp[-2].blk), INDEX_OPT); ++} ++#line 3408 "y.tab.c" ++ break; ++ ++ case 91: /* Term: Term '[' Exp ':' ']' '?' */ ++#line 700 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), (yyvsp[-3].blk), gen_const(jv_null()), INDEX_OPT); ++} ++#line 3416 "y.tab.c" ++ break; ++ ++ case 92: /* Term: Term '[' ':' Exp ']' '?' */ ++#line 703 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), gen_const(jv_null()), (yyvsp[-2].blk), INDEX_OPT); ++} ++#line 3424 "y.tab.c" ++ break; ++ ++ case 93: /* Term: Term '[' Exp ':' Exp ']' */ ++#line 706 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-5].blk), (yyvsp[-3].blk), (yyvsp[-1].blk), INDEX); ++} ++#line 3432 "y.tab.c" ++ break; ++ ++ case 94: /* Term: Term '[' Exp ':' ']' */ ++#line 709 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-4].blk), (yyvsp[-2].blk), gen_const(jv_null()), INDEX); ++} ++#line 3440 "y.tab.c" ++ break; ++ ++ case 95: /* Term: Term '[' ':' Exp ']' */ ++#line 712 "parser.y" ++ { ++ (yyval.blk) = gen_slice_index((yyvsp[-4].blk), gen_const(jv_null()), (yyvsp[-1].blk), INDEX); ++} ++#line 3448 "y.tab.c" ++ break; ++ ++ case 96: /* Term: LITERAL */ ++#line 715 "parser.y" ++ { ++ (yyval.blk) = gen_const((yyvsp[0].literal)); ++} ++#line 3456 "y.tab.c" ++ break; ++ ++ case 97: /* Term: String */ ++#line 718 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3464 "y.tab.c" ++ break; ++ ++ case 98: /* Term: FORMAT */ ++#line 721 "parser.y" ++ { ++ (yyval.blk) = gen_format(gen_noop(), (yyvsp[0].literal)); ++} ++#line 3472 "y.tab.c" ++ break; ++ ++ case 99: /* Term: '(' Exp ')' */ ++#line 724 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[-1].blk); ++} ++#line 3480 "y.tab.c" ++ break; ++ ++ case 100: /* Term: '[' Exp ']' */ ++#line 727 "parser.y" ++ { ++ (yyval.blk) = gen_collect((yyvsp[-1].blk)); ++} ++#line 3488 "y.tab.c" ++ break; ++ ++ case 101: /* Term: '[' ']' */ ++#line 730 "parser.y" ++ { ++ (yyval.blk) = gen_const(jv_array()); ++} ++#line 3496 "y.tab.c" ++ break; ++ ++ case 102: /* Term: '{' MkDict '}' */ ++#line 733 "parser.y" ++ { ++ block o = gen_const_object((yyvsp[-1].blk)); ++ if (o.first != NULL) ++ (yyval.blk) = o; ++ else ++ (yyval.blk) = BLOCK(gen_subexp(gen_const(jv_object())), (yyvsp[-1].blk), gen_op_simple(POP)); ++} ++#line 3508 "y.tab.c" ++ break; ++ ++ case 103: /* Term: '$' "__loc__" */ ++#line 740 "parser.y" ++ { ++ (yyval.blk) = gen_const(JV_OBJECT(jv_string("file"), jv_copy(locations->fname), ++ jv_string("line"), jv_number(locfile_get_line(locations, (yyloc).start) + 1))); ++} ++#line 3517 "y.tab.c" ++ break; ++ ++ case 104: /* Term: '$' IDENT */ ++#line 744 "parser.y" ++ { ++ (yyval.blk) = gen_location((yyloc), locations, gen_op_unbound(LOADV, jv_string_value((yyvsp[0].literal)))); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3526 "y.tab.c" ++ break; ++ ++ case 105: /* Term: IDENT */ ++#line 748 "parser.y" ++ { ++ const char *s = jv_string_value((yyvsp[0].literal)); ++ if (strcmp(s, "false") == 0) ++ (yyval.blk) = gen_const(jv_false()); ++ else if (strcmp(s, "true") == 0) ++ (yyval.blk) = gen_const(jv_true()); ++ else if (strcmp(s, "null") == 0) ++ (yyval.blk) = gen_const(jv_null()); ++ else ++ (yyval.blk) = gen_location((yyloc), locations, gen_call(s, gen_noop())); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3543 "y.tab.c" ++ break; ++ ++ case 106: /* Term: IDENT '(' Args ')' */ ++#line 760 "parser.y" ++ { ++ (yyval.blk) = gen_call(jv_string_value((yyvsp[-3].literal)), (yyvsp[-1].blk)); ++ (yyval.blk) = gen_location((yylsp[-3]), locations, (yyval.blk)); ++ jv_free((yyvsp[-3].literal)); ++} ++#line 3553 "y.tab.c" ++ break; ++ ++ case 107: /* Term: '(' error ')' */ ++#line 765 "parser.y" ++ { (yyval.blk) = gen_noop(); } ++#line 3559 "y.tab.c" ++ break; ++ ++ case 108: /* Term: '[' error ']' */ ++#line 766 "parser.y" ++ { (yyval.blk) = gen_noop(); } ++#line 3565 "y.tab.c" ++ break; ++ ++ case 109: /* Term: Term '[' error ']' */ ++#line 767 "parser.y" ++ { (yyval.blk) = (yyvsp[-3].blk); } ++#line 3571 "y.tab.c" ++ break; ++ ++ case 110: /* Term: '{' error '}' */ ++#line 768 "parser.y" ++ { (yyval.blk) = gen_noop(); } ++#line 3577 "y.tab.c" ++ break; ++ ++ case 111: /* Args: Arg */ ++#line 771 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3585 "y.tab.c" ++ break; ++ ++ case 112: /* Args: Args ';' Arg */ ++#line 774 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3593 "y.tab.c" ++ break; ++ ++ case 113: /* Arg: Exp */ ++#line 779 "parser.y" ++ { ++ (yyval.blk) = gen_lambda((yyvsp[0].blk)); ++} ++#line 3601 "y.tab.c" ++ break; ++ ++ case 114: /* RepPatterns: RepPatterns "?//" Pattern */ ++#line 784 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-2].blk), gen_destructure_alt((yyvsp[0].blk))); ++} ++#line 3609 "y.tab.c" ++ break; ++ ++ case 115: /* RepPatterns: Pattern */ ++#line 787 "parser.y" ++ { ++ (yyval.blk) = gen_destructure_alt((yyvsp[0].blk)); ++} ++#line 3617 "y.tab.c" ++ break; ++ ++ case 116: /* Patterns: RepPatterns "?//" Pattern */ ++#line 792 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3625 "y.tab.c" ++ break; ++ ++ case 117: /* Patterns: Pattern */ ++#line 795 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3633 "y.tab.c" ++ break; ++ ++ case 118: /* Pattern: '$' IDENT */ ++#line 800 "parser.y" ++ { ++ (yyval.blk) = gen_op_unbound(STOREV, jv_string_value((yyvsp[0].literal))); ++ jv_free((yyvsp[0].literal)); ++} ++#line 3642 "y.tab.c" ++ break; ++ ++ case 119: /* Pattern: '[' ArrayPats ']' */ ++#line 804 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-1].blk), gen_op_simple(POP)); ++} ++#line 3650 "y.tab.c" ++ break; ++ ++ case 120: /* Pattern: '{' ObjPats '}' */ ++#line 807 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-1].blk), gen_op_simple(POP)); ++} ++#line 3658 "y.tab.c" ++ break; ++ ++ case 121: /* ArrayPats: Pattern */ ++#line 812 "parser.y" ++ { ++ (yyval.blk) = gen_array_matcher(gen_noop(), (yyvsp[0].blk)); ++} ++#line 3666 "y.tab.c" ++ break; ++ ++ case 122: /* ArrayPats: ArrayPats ',' Pattern */ ++#line 815 "parser.y" ++ { ++ (yyval.blk) = gen_array_matcher((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3674 "y.tab.c" ++ break; ++ ++ case 123: /* ObjPats: ObjPat */ ++#line 820 "parser.y" ++ { ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3682 "y.tab.c" ++ break; ++ ++ case 124: /* ObjPats: ObjPats ',' ObjPat */ ++#line 823 "parser.y" ++ { ++ (yyval.blk) = BLOCK((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3690 "y.tab.c" ++ break; ++ ++ case 125: /* ObjPat: '$' IDENT */ ++#line 828 "parser.y" ++ { ++ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[0].literal)), gen_op_unbound(STOREV, jv_string_value((yyvsp[0].literal)))); ++} ++#line 3698 "y.tab.c" ++ break; ++ ++ case 126: /* ObjPat: '$' IDENT ':' Pattern */ ++#line 831 "parser.y" ++ { ++ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), BLOCK(gen_op_simple(DUP), gen_op_unbound(STOREV, jv_string_value((yyvsp[-2].literal))), (yyvsp[0].blk))); ++} ++#line 3706 "y.tab.c" ++ break; ++ ++ case 127: /* ObjPat: IDENT ':' Pattern */ ++#line 834 "parser.y" ++ { ++ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk)); ++} ++#line 3714 "y.tab.c" ++ break; ++ ++ case 128: /* ObjPat: Keyword ':' Pattern */ ++#line 837 "parser.y" ++ { ++ (yyval.blk) = gen_object_matcher(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk)); ++} ++#line 3722 "y.tab.c" ++ break; ++ ++ case 129: /* ObjPat: String ':' Pattern */ ++#line 840 "parser.y" ++ { ++ (yyval.blk) = gen_object_matcher((yyvsp[-2].blk), (yyvsp[0].blk)); ++} ++#line 3730 "y.tab.c" ++ break; ++ ++ case 130: /* ObjPat: '(' Exp ')' ':' Pattern */ ++#line 843 "parser.y" ++ { ++ jv msg = check_object_key((yyvsp[-3].blk)); ++ if (jv_is_valid(msg)) { ++ FAIL((yyloc), jv_string_value(msg)); ++ } ++ jv_free(msg); ++ (yyval.blk) = gen_object_matcher((yyvsp[-3].blk), (yyvsp[0].blk)); ++} ++#line 3743 "y.tab.c" ++ break; ++ ++ case 131: /* ObjPat: error ':' Pattern */ ++#line 851 "parser.y" ++ { ++ FAIL((yyloc), "May need parentheses around object key expression"); ++ (yyval.blk) = (yyvsp[0].blk); ++} ++#line 3752 "y.tab.c" ++ break; ++ ++ case 132: /* Keyword: "as" */ ++#line 857 "parser.y" ++ { ++ (yyval.literal) = jv_string("as"); ++} ++#line 3760 "y.tab.c" ++ break; ++ ++ case 133: /* Keyword: "def" */ ++#line 860 "parser.y" ++ { ++ (yyval.literal) = jv_string("def"); ++} ++#line 3768 "y.tab.c" ++ break; ++ ++ case 134: /* Keyword: "module" */ ++#line 863 "parser.y" ++ { ++ (yyval.literal) = jv_string("module"); ++} ++#line 3776 "y.tab.c" ++ break; ++ ++ case 135: /* Keyword: "import" */ ++#line 866 "parser.y" ++ { ++ (yyval.literal) = jv_string("import"); ++} ++#line 3784 "y.tab.c" ++ break; ++ ++ case 136: /* Keyword: "include" */ ++#line 869 "parser.y" ++ { ++ (yyval.literal) = jv_string("include"); ++} ++#line 3792 "y.tab.c" ++ break; ++ ++ case 137: /* Keyword: "if" */ ++#line 872 "parser.y" ++ { ++ (yyval.literal) = jv_string("if"); ++} ++#line 3800 "y.tab.c" ++ break; ++ ++ case 138: /* Keyword: "then" */ ++#line 875 "parser.y" ++ { ++ (yyval.literal) = jv_string("then"); ++} ++#line 3808 "y.tab.c" ++ break; ++ ++ case 139: /* Keyword: "else" */ ++#line 878 "parser.y" ++ { ++ (yyval.literal) = jv_string("else"); ++} ++#line 3816 "y.tab.c" ++ break; ++ ++ case 140: /* Keyword: "elif" */ ++#line 881 "parser.y" ++ { ++ (yyval.literal) = jv_string("elif"); ++} ++#line 3824 "y.tab.c" ++ break; ++ ++ case 141: /* Keyword: "reduce" */ ++#line 884 "parser.y" ++ { ++ (yyval.literal) = jv_string("reduce"); ++} ++#line 3832 "y.tab.c" ++ break; ++ ++ case 142: /* Keyword: "foreach" */ ++#line 887 "parser.y" ++ { ++ (yyval.literal) = jv_string("foreach"); ++} ++#line 3840 "y.tab.c" ++ break; ++ ++ case 143: /* Keyword: "end" */ ++#line 890 "parser.y" ++ { ++ (yyval.literal) = jv_string("end"); ++} ++#line 3848 "y.tab.c" ++ break; ++ ++ case 144: /* Keyword: "and" */ ++#line 893 "parser.y" ++ { ++ (yyval.literal) = jv_string("and"); ++} ++#line 3856 "y.tab.c" ++ break; ++ ++ case 145: /* Keyword: "or" */ ++#line 896 "parser.y" ++ { ++ (yyval.literal) = jv_string("or"); ++} ++#line 3864 "y.tab.c" ++ break; ++ ++ case 146: /* Keyword: "try" */ ++#line 899 "parser.y" ++ { ++ (yyval.literal) = jv_string("try"); ++} ++#line 3872 "y.tab.c" ++ break; ++ ++ case 147: /* Keyword: "catch" */ ++#line 902 "parser.y" ++ { ++ (yyval.literal) = jv_string("catch"); ++} ++#line 3880 "y.tab.c" ++ break; ++ ++ case 148: /* Keyword: "label" */ ++#line 905 "parser.y" ++ { ++ (yyval.literal) = jv_string("label"); ++} ++#line 3888 "y.tab.c" ++ break; ++ ++ case 149: /* Keyword: "break" */ ++#line 908 "parser.y" ++ { ++ (yyval.literal) = jv_string("break"); ++} ++#line 3896 "y.tab.c" ++ break; ++ ++ case 150: /* Keyword: "__loc__" */ ++#line 911 "parser.y" ++ { ++ (yyval.literal) = jv_string("__loc__"); ++} ++#line 3904 "y.tab.c" ++ break; ++ ++ case 151: /* MkDict: %empty */ ++#line 916 "parser.y" ++ { ++ (yyval.blk)=gen_noop(); ++} ++#line 3912 "y.tab.c" ++ break; ++ ++ case 152: /* MkDict: MkDictPair */ ++#line 919 "parser.y" ++ { (yyval.blk) = (yyvsp[0].blk); } ++#line 3918 "y.tab.c" ++ break; ++ ++ case 153: /* MkDict: MkDictPair ',' MkDict */ ++#line 920 "parser.y" ++ { (yyval.blk)=block_join((yyvsp[-2].blk), (yyvsp[0].blk)); } ++#line 3924 "y.tab.c" ++ break; ++ ++ case 154: /* MkDict: error ',' MkDict */ ++#line 921 "parser.y" ++ { (yyval.blk) = (yyvsp[0].blk); } ++#line 3930 "y.tab.c" ++ break; ++ ++ case 155: /* MkDictPair: IDENT ':' ExpD */ ++#line 924 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk)); ++ } ++#line 3938 "y.tab.c" ++ break; ++ ++ case 156: /* MkDictPair: Keyword ':' ExpD */ ++#line 927 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair(gen_const((yyvsp[-2].literal)), (yyvsp[0].blk)); ++ } ++#line 3946 "y.tab.c" ++ break; ++ ++ case 157: /* MkDictPair: String ':' ExpD */ ++#line 930 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair((yyvsp[-2].blk), (yyvsp[0].blk)); ++ } ++#line 3954 "y.tab.c" ++ break; ++ ++ case 158: /* MkDictPair: String */ ++#line 933 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair((yyvsp[0].blk), BLOCK(gen_op_simple(POP), gen_op_simple(DUP2), ++ gen_op_simple(DUP2), gen_op_simple(INDEX))); ++ } ++#line 3963 "y.tab.c" ++ break; ++ ++ case 159: /* MkDictPair: '$' IDENT */ ++#line 937 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair(gen_const((yyvsp[0].literal)), ++ gen_location((yyloc), locations, gen_op_unbound(LOADV, jv_string_value((yyvsp[0].literal))))); ++ } ++#line 3972 "y.tab.c" ++ break; ++ ++ case 160: /* MkDictPair: IDENT */ ++#line 941 "parser.y" ++ { ++ (yyval.blk) = gen_dictpair(gen_const(jv_copy((yyvsp[0].literal))), ++ gen_index(gen_noop(), gen_const((yyvsp[0].literal)))); ++ } ++#line 3981 "y.tab.c" ++ break; ++ ++ case 161: /* MkDictPair: '(' Exp ')' ':' ExpD */ ++#line 945 "parser.y" ++ { ++ jv msg = check_object_key((yyvsp[-3].blk)); ++ if (jv_is_valid(msg)) { ++ FAIL((yyloc), jv_string_value(msg)); ++ } ++ jv_free(msg); ++ (yyval.blk) = gen_dictpair((yyvsp[-3].blk), (yyvsp[0].blk)); ++ } ++#line 3994 "y.tab.c" ++ break; ++ ++ case 162: /* MkDictPair: error ':' ExpD */ ++#line 953 "parser.y" ++ { ++ FAIL((yyloc), "May need parentheses around object key expression"); ++ (yyval.blk) = (yyvsp[0].blk); ++ } ++#line 4003 "y.tab.c" ++ break; ++ ++ ++#line 4007 "y.tab.c" ++ ++ default: break; ++ } ++ /* User semantic actions sometimes alter yychar, and that requires ++ that yytoken be updated with the new translation. We take the ++ approach of translating immediately before every use of yytoken. ++ One alternative is translating here after every semantic action, ++ but that translation would be missed if the semantic action invokes ++ YYABORT, YYACCEPT, or YYERROR immediately after altering yychar or ++ if it invokes YYBACKUP. In the case of YYABORT or YYACCEPT, an ++ incorrect destructor might then be invoked immediately. In the ++ case of YYERROR or YYBACKUP, subsequent parser actions might lead ++ to an incorrect destructor call or verbose syntax error message ++ before the lookahead is translated. */ ++ YY_SYMBOL_PRINT ("-> $$ =", YY_CAST (yysymbol_kind_t, yyr1[yyn]), &yyval, &yyloc); ++ ++ YYPOPSTACK (yylen); ++ yylen = 0; ++ ++ *++yyvsp = yyval; ++ *++yylsp = yyloc; ++ ++ /* Now 'shift' the result of the reduction. Determine what state ++ that goes to, based on the state we popped back to and the rule ++ number reduced by. */ ++ { ++ const int yylhs = yyr1[yyn] - YYNTOKENS; ++ const int yyi = yypgoto[yylhs] + *yyssp; ++ yystate = (0 <= yyi && yyi <= YYLAST && yycheck[yyi] == *yyssp ++ ? yytable[yyi] ++ : yydefgoto[yylhs]); ++ } ++ ++ goto yynewstate; ++ ++ ++/*--------------------------------------. ++| yyerrlab -- here on detecting error. | ++`--------------------------------------*/ ++yyerrlab: ++ /* Make sure we have latest lookahead translation. See comments at ++ user semantic actions for why this is necessary. */ ++ yytoken = yychar == YYEMPTY ? YYSYMBOL_YYEMPTY : YYTRANSLATE (yychar); ++ /* If not already recovering from an error, report this error. */ ++ if (!yyerrstatus) ++ { ++ ++yynerrs; ++ { ++ yypcontext_t yyctx ++ = {yyssp, yytoken, &yylloc}; ++ char const *yymsgp = YY_("syntax error"); ++ int yysyntax_error_status; ++ yysyntax_error_status = yysyntax_error (&yymsg_alloc, &yymsg, &yyctx); ++ if (yysyntax_error_status == 0) ++ yymsgp = yymsg; ++ else if (yysyntax_error_status == -1) ++ { ++ if (yymsg != yymsgbuf) ++ YYSTACK_FREE (yymsg); ++ yymsg = YY_CAST (char *, ++ YYSTACK_ALLOC (YY_CAST (YYSIZE_T, yymsg_alloc))); ++ if (yymsg) ++ { ++ yysyntax_error_status ++ = yysyntax_error (&yymsg_alloc, &yymsg, &yyctx); ++ yymsgp = yymsg; ++ } ++ else ++ { ++ yymsg = yymsgbuf; ++ yymsg_alloc = sizeof yymsgbuf; ++ yysyntax_error_status = YYENOMEM; ++ } ++ } ++ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, yymsgp); ++ if (yysyntax_error_status == YYENOMEM) ++ goto yyexhaustedlab; ++ } ++ } ++ ++ yyerror_range[1] = yylloc; ++ if (yyerrstatus == 3) ++ { ++ /* If just tried and failed to reuse lookahead token after an ++ error, discard it. */ ++ ++ if (yychar <= YYEOF) ++ { ++ /* Return failure if at end of input. */ ++ if (yychar == YYEOF) ++ YYABORT; ++ } ++ else ++ { ++ yydestruct ("Error: discarding", ++ yytoken, &yylval, &yylloc, answer, errors, locations, lexer_param_ptr); ++ yychar = YYEMPTY; ++ } ++ } ++ ++ /* Else will try to reuse lookahead token after shifting the error ++ token. */ ++ goto yyerrlab1; ++ ++ ++/*---------------------------------------------------. ++| yyerrorlab -- error raised explicitly by YYERROR. | ++`---------------------------------------------------*/ ++yyerrorlab: ++ /* Pacify compilers when the user code never invokes YYERROR and the ++ label yyerrorlab therefore never appears in user code. */ ++ if (0) ++ YYERROR; ++ ++ /* Do not reclaim the symbols of the rule whose action triggered ++ this YYERROR. */ ++ YYPOPSTACK (yylen); ++ yylen = 0; ++ YY_STACK_PRINT (yyss, yyssp); ++ yystate = *yyssp; ++ goto yyerrlab1; ++ ++ ++/*-------------------------------------------------------------. ++| yyerrlab1 -- common code for both syntax error and YYERROR. | ++`-------------------------------------------------------------*/ ++yyerrlab1: ++ yyerrstatus = 3; /* Each real token shifted decrements this. */ ++ ++ /* Pop stack until we find a state that shifts the error token. */ ++ for (;;) ++ { ++ yyn = yypact[yystate]; ++ if (!yypact_value_is_default (yyn)) ++ { ++ yyn += YYSYMBOL_YYerror; ++ if (0 <= yyn && yyn <= YYLAST && yycheck[yyn] == YYSYMBOL_YYerror) ++ { ++ yyn = yytable[yyn]; ++ if (0 < yyn) ++ break; ++ } ++ } ++ ++ /* Pop the current state because it cannot handle the error token. */ ++ if (yyssp == yyss) ++ YYABORT; ++ ++ yyerror_range[1] = *yylsp; ++ yydestruct ("Error: popping", ++ YY_ACCESSING_SYMBOL (yystate), yyvsp, yylsp, answer, errors, locations, lexer_param_ptr); ++ YYPOPSTACK (1); ++ yystate = *yyssp; ++ YY_STACK_PRINT (yyss, yyssp); ++ } ++ ++ YY_IGNORE_MAYBE_UNINITIALIZED_BEGIN ++ *++yyvsp = yylval; ++ YY_IGNORE_MAYBE_UNINITIALIZED_END ++ ++ yyerror_range[2] = yylloc; ++ ++yylsp; ++ YYLLOC_DEFAULT (*yylsp, yyerror_range, 2); ++ ++ /* Shift the error token. */ ++ YY_SYMBOL_PRINT ("Shifting", YY_ACCESSING_SYMBOL (yyn), yyvsp, yylsp); ++ ++ yystate = yyn; ++ goto yynewstate; ++ ++ ++/*-------------------------------------. ++| yyacceptlab -- YYACCEPT comes here. | ++`-------------------------------------*/ ++yyacceptlab: ++ yyresult = 0; ++ goto yyreturn; ++ ++ ++/*-----------------------------------. ++| yyabortlab -- YYABORT comes here. | ++`-----------------------------------*/ ++yyabortlab: ++ yyresult = 1; ++ goto yyreturn; ++ ++ ++#if 1 ++/*-------------------------------------------------. ++| yyexhaustedlab -- memory exhaustion comes here. | ++`-------------------------------------------------*/ ++yyexhaustedlab: ++ yyerror (&yylloc, answer, errors, locations, lexer_param_ptr, YY_("memory exhausted")); ++ yyresult = 2; ++ goto yyreturn; ++#endif ++ ++ ++/*-------------------------------------------------------. ++| yyreturn -- parsing is finished, clean up and return. | ++`-------------------------------------------------------*/ ++yyreturn: ++ if (yychar != YYEMPTY) ++ { ++ /* Make sure we have latest lookahead translation. See comments at ++ user semantic actions for why this is necessary. */ ++ yytoken = YYTRANSLATE (yychar); ++ yydestruct ("Cleanup: discarding lookahead", ++ yytoken, &yylval, &yylloc, answer, errors, locations, lexer_param_ptr); ++ } ++ /* Do not reclaim the symbols of the rule whose action triggered ++ this YYABORT or YYACCEPT. */ ++ YYPOPSTACK (yylen); ++ YY_STACK_PRINT (yyss, yyssp); ++ while (yyssp != yyss) ++ { ++ yydestruct ("Cleanup: popping", ++ YY_ACCESSING_SYMBOL (+*yyssp), yyvsp, yylsp, answer, errors, locations, lexer_param_ptr); ++ YYPOPSTACK (1); ++ } ++#ifndef yyoverflow ++ if (yyss != yyssa) ++ YYSTACK_FREE (yyss); ++#endif ++ if (yymsg != yymsgbuf) ++ YYSTACK_FREE (yymsg); ++ return yyresult; ++} ++ ++#line 957 "parser.y" ++ ++ ++int jq_parse(struct locfile* locations, block* answer) { ++ struct lexer_param scanner; ++ YY_BUFFER_STATE buf; ++ jq_yylex_init_extra(0, &scanner.lexer); ++ buf = jq_yy_scan_bytes(locations->data, locations->length, scanner.lexer); ++ int errors = 0; ++ *answer = gen_noop(); ++ yyparse(answer, &errors, locations, &scanner); ++ jq_yy_delete_buffer(buf, scanner.lexer); ++ jq_yylex_destroy(scanner.lexer); ++ if (errors > 0) { ++ block_free(*answer); ++ *answer = gen_noop(); ++ } ++ return errors; ++} ++ ++int jq_parse_library(struct locfile* locations, block* answer) { ++ int errs = jq_parse(locations, answer); ++ if (errs) return errs; ++ if (block_has_main(*answer)) { ++ locfile_locate(locations, UNKNOWN_LOCATION, "jq: error: library should only have function definitions, not a main expression"); ++ return 1; ++ } ++ assert(block_has_only_binders_and_imports(*answer, OP_IS_CALL_PSEUDO)); ++ return 0; ++} +diff -Naur a/src/y.tab.h b/src/y.tab.h +--- a/src/y.tab.h 1969-12-31 16:00:00.000000000 -0800 ++++ b/src/y.tab.h 2021-09-29 10:27:07.711281431 -0700 +@@ -0,0 +1,210 @@ ++/* A Bison parser, made by GNU Bison 3.7.4. */ ++ ++/* Bison interface for Yacc-like parsers in C ++ ++ Copyright (C) 1984, 1989-1990, 2000-2015, 2018-2020 Free Software Foundation, ++ Inc. ++ ++ This program is free software: you can redistribute it and/or modify ++ it under the terms of the GNU General Public License as published by ++ the Free Software Foundation, either version 3 of the License, or ++ (at your option) any later version. ++ ++ This program is distributed in the hope that it will be useful, ++ but WITHOUT ANY WARRANTY; without even the implied warranty of ++ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ++ GNU General Public License for more details. ++ ++ You should have received a copy of the GNU General Public License ++ along with this program. If not, see . */ ++ ++/* As a special exception, you may create a larger work that contains ++ part or all of the Bison parser skeleton and distribute that work ++ under terms of your choice, so long as that work isn't itself a ++ parser generator using the skeleton or a modified version thereof ++ as a parser skeleton. Alternatively, if you modify or redistribute ++ the parser skeleton itself, you may (at your option) remove this ++ special exception, which will cause the skeleton and the resulting ++ Bison output files to be licensed under the GNU General Public ++ License without this special exception. ++ ++ This special exception was added by the Free Software Foundation in ++ version 2.2 of Bison. */ ++ ++/* DO NOT RELY ON FEATURES THAT ARE NOT DOCUMENTED in the manual, ++ especially those whose name start with YY_ or yy_. They are ++ private implementation details that can be changed or removed. */ ++ ++#ifndef YY_YY_Y_TAB_H_INCLUDED ++# define YY_YY_Y_TAB_H_INCLUDED ++/* Debug traces. */ ++#ifndef YYDEBUG ++# define YYDEBUG 0 ++#endif ++#if YYDEBUG ++extern int yydebug; ++#endif ++/* "%code requires" blocks. */ ++#line 11 "parser.y" ++ ++#include "locfile.h" ++struct lexer_param; ++ ++#define YYLTYPE location ++#define YYLLOC_DEFAULT(Loc, Rhs, N) \ ++ do { \ ++ if (N) { \ ++ (Loc).start = YYRHSLOC(Rhs, 1).start; \ ++ (Loc).end = YYRHSLOC(Rhs, N).end; \ ++ } else { \ ++ (Loc).start = YYRHSLOC(Rhs, 0).end; \ ++ (Loc).end = YYRHSLOC(Rhs, 0).end; \ ++ } \ ++ } while (0) ++ ++#line 66 "y.tab.h" ++ ++/* Token kinds. */ ++#ifndef YYTOKENTYPE ++# define YYTOKENTYPE ++ enum yytokentype ++ { ++ YYEMPTY = -2, ++ YYEOF = 0, /* "end of file" */ ++ YYerror = 256, /* error */ ++ YYUNDEF = 257, /* "invalid token" */ ++ INVALID_CHARACTER = 258, /* INVALID_CHARACTER */ ++ IDENT = 259, /* IDENT */ ++ FIELD = 260, /* FIELD */ ++ LITERAL = 261, /* LITERAL */ ++ FORMAT = 262, /* FORMAT */ ++ REC = 263, /* ".." */ ++ SETMOD = 264, /* "%=" */ ++ EQ = 265, /* "==" */ ++ NEQ = 266, /* "!=" */ ++ DEFINEDOR = 267, /* "//" */ ++ AS = 268, /* "as" */ ++ DEF = 269, /* "def" */ ++ MODULE = 270, /* "module" */ ++ IMPORT = 271, /* "import" */ ++ INCLUDE = 272, /* "include" */ ++ IF = 273, /* "if" */ ++ THEN = 274, /* "then" */ ++ ELSE = 275, /* "else" */ ++ ELSE_IF = 276, /* "elif" */ ++ REDUCE = 277, /* "reduce" */ ++ FOREACH = 278, /* "foreach" */ ++ END = 279, /* "end" */ ++ AND = 280, /* "and" */ ++ OR = 281, /* "or" */ ++ TRY = 282, /* "try" */ ++ CATCH = 283, /* "catch" */ ++ LABEL = 284, /* "label" */ ++ BREAK = 285, /* "break" */ ++ LOC = 286, /* "__loc__" */ ++ SETPIPE = 287, /* "|=" */ ++ SETPLUS = 288, /* "+=" */ ++ SETMINUS = 289, /* "-=" */ ++ SETMULT = 290, /* "*=" */ ++ SETDIV = 291, /* "/=" */ ++ SETDEFINEDOR = 292, /* "//=" */ ++ LESSEQ = 293, /* "<=" */ ++ GREATEREQ = 294, /* ">=" */ ++ ALTERNATION = 295, /* "?//" */ ++ QQSTRING_START = 296, /* QQSTRING_START */ ++ QQSTRING_TEXT = 297, /* QQSTRING_TEXT */ ++ QQSTRING_INTERP_START = 298, /* QQSTRING_INTERP_START */ ++ QQSTRING_INTERP_END = 299, /* QQSTRING_INTERP_END */ ++ QQSTRING_END = 300, /* QQSTRING_END */ ++ FUNCDEF = 301, /* FUNCDEF */ ++ NONOPT = 302 /* NONOPT */ ++ }; ++ typedef enum yytokentype yytoken_kind_t; ++#endif ++/* Token kinds. */ ++#define YYEMPTY -2 ++#define YYEOF 0 ++#define YYerror 256 ++#define YYUNDEF 257 ++#define INVALID_CHARACTER 258 ++#define IDENT 259 ++#define FIELD 260 ++#define LITERAL 261 ++#define FORMAT 262 ++#define REC 263 ++#define SETMOD 264 ++#define EQ 265 ++#define NEQ 266 ++#define DEFINEDOR 267 ++#define AS 268 ++#define DEF 269 ++#define MODULE 270 ++#define IMPORT 271 ++#define INCLUDE 272 ++#define IF 273 ++#define THEN 274 ++#define ELSE 275 ++#define ELSE_IF 276 ++#define REDUCE 277 ++#define FOREACH 278 ++#define END 279 ++#define AND 280 ++#define OR 281 ++#define TRY 282 ++#define CATCH 283 ++#define LABEL 284 ++#define BREAK 285 ++#define LOC 286 ++#define SETPIPE 287 ++#define SETPLUS 288 ++#define SETMINUS 289 ++#define SETMULT 290 ++#define SETDIV 291 ++#define SETDEFINEDOR 292 ++#define LESSEQ 293 ++#define GREATEREQ 294 ++#define ALTERNATION 295 ++#define QQSTRING_START 296 ++#define QQSTRING_TEXT 297 ++#define QQSTRING_INTERP_START 298 ++#define QQSTRING_INTERP_END 299 ++#define QQSTRING_END 300 ++#define FUNCDEF 301 ++#define NONOPT 302 ++ ++/* Value type. */ ++#if ! defined YYSTYPE && ! defined YYSTYPE_IS_DECLARED ++union YYSTYPE ++{ ++#line 31 "parser.y" ++ ++ jv literal; ++ block blk; ++ ++#line 185 "y.tab.h" ++ ++}; ++typedef union YYSTYPE YYSTYPE; ++# define YYSTYPE_IS_TRIVIAL 1 ++# define YYSTYPE_IS_DECLARED 1 ++#endif ++ ++/* Location type. */ ++#if ! defined YYLTYPE && ! defined YYLTYPE_IS_DECLARED ++typedef struct YYLTYPE YYLTYPE; ++struct YYLTYPE ++{ ++ int first_line; ++ int first_column; ++ int last_line; ++ int last_column; ++}; ++# define YYLTYPE_IS_DECLARED 1 ++# define YYLTYPE_IS_TRIVIAL 1 ++#endif ++ ++ ++ ++int yyparse (block* answer, int* errors, struct locfile* locations, struct lexer_param* lexer_param_ptr); ++ ++#endif /* !YY_YY_Y_TAB_H_INCLUDED */ +diff -Naur a/tests/jq.test b/tests/jq.test +--- a/tests/jq.test 2018-11-01 18:49:29.000000000 -0700 ++++ b/tests/jq.test 2021-09-29 10:19:48.697843723 -0700 +@@ -1517,3 +1517,42 @@ + false + + ++# ++# Tests to cover the new toliteral number functionality ++# For an example see #1652 and other linked issues ++# ++ ++# We are backward and sanity compatible ++ ++map(. == 1) ++[1, 1.0, 1.000, 100e-2, 1e+0, 0.0001e4] ++[true, true, true, true, true, true] ++ ++# When no arithmetic is involved jq should preserve the literal value ++ ++.[0] | tostring ++[13911860366432393] ++"13911860366432393" ++ ++.x | tojson ++{"x":13911860366432393} ++"13911860366432393" ++ ++13911860366432393 == 13911860366432392 ++null ++false ++ ++ ++# Applying arithmetic to the value will truncate the result to double ++ ++. - 10 ++13911860366432393 ++13911860366432382 ++ ++.[0] - 10 ++[13911860366432393] ++13911860366432382 ++ ++.x - 10 ++{"x":13911860366432393} ++13911860366432382 +diff -Naur a/tests/local.supp b/tests/local.supp +--- a/tests/local.supp 1969-12-31 16:00:00.000000000 -0800 ++++ b/tests/local.supp 2021-09-29 10:19:48.697843723 -0700 +@@ -0,0 +1,14 @@ ++{ ++ macos valgrind 1 ++ Memcheck:Leak ++ match-leak-kinds: possible ++ fun:calloc ++ fun:map_images_nolock ++ ... ++ fun:_dyld_objc_notify_register ++ fun:_objc_init ++ fun:_os_object_init ++ fun:libdispatch_init ++ fun:libSystem_initializer ++ ... ++} +diff -Naur a/tests/setup b/tests/setup +--- a/tests/setup 2018-11-01 18:49:29.000000000 -0700 ++++ b/tests/setup 2021-09-29 10:19:48.697843723 -0700 +@@ -14,7 +14,8 @@ + + if [ -z "${NO_VALGRIND-}" ] && which valgrind > /dev/null; then + VALGRIND="valgrind --error-exitcode=1 --leak-check=full \ +- --suppressions=$JQTESTDIR/onig.supp" ++ --suppressions=$JQTESTDIR/onig.supp \ ++ --suppressions=$JQTESTDIR/local.supp" + VG_EXIT0=--error-exitcode=0 + Q=-q + else diff --git a/SOURCES/CVE-2015-8863.patch b/SOURCES/CVE-2015-8863.patch deleted file mode 100644 index f4046cd..0000000 --- a/SOURCES/CVE-2015-8863.patch +++ /dev/null @@ -1,37 +0,0 @@ -From 8eb1367ca44e772963e704a700ef72ae2e12babd Mon Sep 17 00:00:00 2001 -From: Nicolas Williams -Date: Sat, 24 Oct 2015 17:24:57 -0500 -Subject: [PATCH] Heap buffer overflow in tokenadd() (fix #105) - -This was an off-by one: the NUL terminator byte was not allocated on -resize. This was triggered by JSON-encoded numbers longer than 256 -bytes. ---- - src/jv_parse.c | 4 ++-- - 1 file changed, 2 insertions(+), 2 deletions(-) - -diff --git a/src/jv_parse.c b/src/jv_parse.c -index 3102ed4..84245b8 100644 ---- a/src/jv_parse.c -+++ b/src/jv_parse.c -@@ -383,7 +383,7 @@ static pfunc stream_token(struct jv_parser* p, char ch) { - - static void tokenadd(struct jv_parser* p, char c) { - assert(p->tokenpos <= p->tokenlen); -- if (p->tokenpos == p->tokenlen) { -+ if (p->tokenpos >= (p->tokenlen - 1)) { - p->tokenlen = p->tokenlen*2 + 256; - p->tokenbuf = jv_mem_realloc(p->tokenbuf, p->tokenlen); - } -@@ -485,7 +485,7 @@ static pfunc check_literal(struct jv_parser* p) { - TRY(value(p, v)); - } else { - // FIXME: better parser -- p->tokenbuf[p->tokenpos] = 0; // FIXME: invalid -+ p->tokenbuf[p->tokenpos] = 0; - char* end = 0; - double d = jvp_strtod(&p->dtoa, p->tokenbuf, &end); - if (end == 0 || *end != 0) --- -2.14.3 - diff --git a/SPECS/jq.spec b/SPECS/jq.spec index d7dafc7..37e43d8 100644 --- a/SPECS/jq.spec +++ b/SPECS/jq.spec @@ -1,16 +1,19 @@ Name: jq -Version: 1.5 -Release: 12%{?dist} +Version: 1.6 +Release: 3%{?dist} Summary: Command-line JSON processor License: MIT and ASL 2.0 and CC-BY and GPLv3 URL: http://stedolan.github.io/jq/ Source0: https://github.com/stedolan/jq/releases/download/%{name}-%{version}/%{name}-%{version}.tar.gz -Patch0: CVE-2015-8863.patch +Patch0: 0000-jq-decimal-literal-number.patch BuildRequires: flex BuildRequires: bison BuildRequires: oniguruma-devel +BuildRequires: autoconf +BuildRequires: automake +BuildRequires: libtool %ifnarch s390x BuildRequires: valgrind @@ -43,9 +46,10 @@ Development files for %{name} %prep %setup -qn %{name}-%{version} -%patch0 -p2 -b .cve-2015-8863 +%patch0 -p1 -b .bigint %build +autoreconf -fi %configure --disable-static make %{?_smp_mflags} # Docs already shipped in jq's tarball. @@ -90,6 +94,18 @@ make check %changelog +* Mon Oct 4 2021 Tomas Halman +- Fix big integers issue +- Resolves: bug#2008717 + +* Mon Oct 4 2021 Tomas Halman +- Releasing v1.6 +- Resolves: bug#1852514 + +* Wed Aug 11 2021 Tomas Halman +- Publishing devel package +- Resolves: bug#1908928 + * Sat Aug 11 2018 Troy Dawson - Fix typo: s390 -> s390x - Related: bug#1614611