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f57b16 |
From 23f1773ddf92979006d0f438523f3c73320c384f Mon Sep 17 00:00:00 2001
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
From: Tomas Mraz <tomas@openssl.org>
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Date: Mon, 28 Feb 2022 18:26:30 +0100
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f57b16 |
Subject: [PATCH] Add documentation of BN_mod_sqrt()
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
---
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
doc/man3/BN_add.pod | 15 +++++++++++++--
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
util/missingcrypto.txt | 1 -
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
2 files changed, 13 insertions(+), 3 deletions(-)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
diff --git a/doc/man3/BN_add.pod b/doc/man3/BN_add.pod
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
index 62d3ee7205..cf6c49c0e3 100644
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
--- a/doc/man3/BN_add.pod
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+++ b/doc/man3/BN_add.pod
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -3,7 +3,7 @@
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
=head1 NAME
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_add, BN_sub, BN_mul, BN_sqr, BN_div, BN_mod, BN_nnmod, BN_mod_add,
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
-BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_exp, BN_mod_exp, BN_gcd -
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+BN_mod_sub, BN_mod_mul, BN_mod_sqr, BN_mod_sqrt, BN_exp, BN_mod_exp, BN_gcd -
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
arithmetic operations on BIGNUMs
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
=head1 SYNOPSIS
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -36,6 +36,8 @@ arithmetic operations on BIGNUMs
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
int BN_mod_sqr(BIGNUM *r, BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ BIGNUM *BN_mod_sqrt(BIGNUM *in, BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -87,6 +89,12 @@ L<BN_mod_mul_reciprocal(3)>.
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mod_sqr() takes the square of I modulo B<m> and places the
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
result in I<r>.
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+BN_mod_sqrt() returns the modular square root of I such that
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+C<in^2 = a (mod p)>. The modulus I must be a
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+prime, otherwise an error or an incorrect "result" will be returned.
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+The result is stored into I<in> which can be NULL. The result will be
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+newly allocated in that case.
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_exp() raises I to the I-th power and places the result in I<r>
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
(C<r=a^p>). This function is faster than repeated applications of
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mul().
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -108,7 +116,10 @@ the arguments.
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f57b16 |
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f57b16 |
=head1 RETURN VALUES
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f57b16 |
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f57b16 |
-For all functions, 1 is returned for success, 0 on error. The return
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f57b16 |
+The BN_mod_sqrt() returns the result (possibly incorrect if I is
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+not a prime), or NULL.
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f57b16 |
+
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f57b16 |
+For all remaining functions, 1 is returned for success, 0 on error. The return
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f57b16 |
value should always be checked (e.g., C<if (!BN_add(r,a,b)) goto err;>).
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
The error codes can be obtained by L<ERR_get_error(3)>.
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
diff --git a/util/missingcrypto.txt b/util/missingcrypto.txt
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
index b61bdeb880..4d2fd7f6b7 100644
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
--- a/util/missingcrypto.txt
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+++ b/util/missingcrypto.txt
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f57b16 |
@@ -264,7 +264,6 @@ BN_mod_lshift(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mod_lshift1(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mod_lshift1_quick(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mod_lshift_quick(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
-BN_mod_sqrt(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_mod_sub_quick(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_nist_mod_192(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BN_nist_mod_224(3)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
From 46673310c9a755b2a56f53d115854983d6ada11a Mon Sep 17 00:00:00 2001
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
From: Tomas Mraz <tomas@openssl.org>
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Date: Mon, 28 Feb 2022 18:26:35 +0100
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Subject: [PATCH] Add a negative testcase for BN_mod_sqrt
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
---
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
test/bntest.c | 11 ++++++++++-
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
test/recipes/10-test_bn_data/bnmod.txt | 12 ++++++++++++
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
2 files changed, 22 insertions(+), 1 deletion(-)
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
diff --git a/test/bntest.c b/test/bntest.c
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
index efdb3ef963..d49f87373a 100644
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
--- a/test/bntest.c
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+++ b/test/bntest.c
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -1732,8 +1732,17 @@ static int file_modsqrt(STANZA *s)
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f57b16 |
|| !TEST_ptr(ret2 = BN_new()))
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
goto err;
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f57b16 |
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (BN_is_negative(mod_sqrt)) {
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ /* A negative testcase */
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (!TEST_ptr_null(BN_mod_sqrt(ret, a, p, ctx)))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ goto err;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ st = 1;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ goto err;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ }
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
/* There are two possible answers. */
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- if (!TEST_true(BN_mod_sqrt(ret, a, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (!TEST_ptr(BN_mod_sqrt(ret, a, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|| !TEST_true(BN_sub(ret2, p, ret)))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
goto err;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
diff --git a/test/recipes/10-test_bn_data/bnmod.txt b/test/recipes/10-test_bn_data/bnmod.txt
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
index e22d656091..bc8a434ea5 100644
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
--- a/test/recipes/10-test_bn_data/bnmod.txt
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+++ b/test/recipes/10-test_bn_data/bnmod.txt
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -2799,3 +2799,15 @@ P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
ModSqrt = a1d52989f12f204d3d2167d9b1e6c8a6174c0c786a979a5952383b7b8bd186
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
A = 2eee37cf06228a387788188e650bc6d8a2ff402931443f69156a29155eca07dcb45f3aac238d92943c0c25c896098716baa433f25bd696a142f5a69d5d937e81
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+# Negative testcases for BN_mod_sqrt()
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+# This one triggers an infinite loop with unfixed implementation
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+# It should just fail.
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ModSqrt = -1
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+A = 20a7ee
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+P = 460201
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ModSqrt = -1
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+A = 65bebdb00a96fc814ec44b81f98b59fba3c30203928fa5214c51e0a97091645280c947b005847f239758482b9bfc45b066fde340d1fe32fc9c1bf02e1b2d0ed
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+P = 9df9d6cc20b8540411af4e5357ef2b0353cb1f2ab5ffc3e246b41c32f71e951f
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
From cafcc62d7719dea73f334c9ef763d1e215fcd94d Mon Sep 17 00:00:00 2001
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
From: Tomas Mraz <tomas@openssl.org>
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Date: Mon, 28 Feb 2022 18:26:21 +0100
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Subject: [PATCH] Fix possible infinite loop in BN_mod_sqrt()
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
The calculation in some cases does not finish for non-prime p.
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
This fixes CVE-2022-0778.
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
Based on patch by David Benjamin <davidben@google.com>.
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
---
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
crypto/bn/bn_sqrt.c | 30 ++++++++++++++++++------------
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
1 file changed, 18 insertions(+), 12 deletions(-)
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
diff --git a/crypto/bn/bn_sqrt.c b/crypto/bn/bn_sqrt.c
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
index b663ae5ec5..c5ea7ab194 100644
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
--- a/crypto/bn/bn_sqrt.c
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+++ b/crypto/bn/bn_sqrt.c
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -14,7 +14,8 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
/*
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
* Returns 'ret' such that ret^2 == a (mod p), using the Tonelli/Shanks
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
* algorithm (cf. Henri Cohen, "A Course in Algebraic Computational Number
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- * Theory", algorithm 1.5.1). 'p' must be prime!
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ * Theory", algorithm 1.5.1). 'p' must be prime, otherwise an error or
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ * an incorrect "result" will be returned.
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
*/
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
{
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
BIGNUM *ret = in;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
@@ -303,18 +304,23 @@ BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
goto vrfy;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
}
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- /* find smallest i such that b^(2^i) = 1 */
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- i = 1;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- if (!BN_mod_sqr(t, b, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- goto end;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- while (!BN_is_one(t)) {
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- i++;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- if (i == e) {
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- ERR_raise(ERR_LIB_BN, BN_R_NOT_A_SQUARE);
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- goto end;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ /* Find the smallest i, 0 < i < e, such that b^(2^i) = 1. */
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ for (i = 1; i < e; i++) {
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (i == 1) {
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (!BN_mod_sqr(t, b, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ goto end;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ } else {
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (!BN_mod_mul(t, t, t, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ goto end;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
}
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- if (!BN_mod_mul(t, t, t, p, ctx))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
- goto end;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (BN_is_one(t))
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ break;
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ }
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ /* If not found, a is not a square or p is not prime. */
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ if (i >= e) {
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![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ ERR_raise(ERR_LIB_BN, BN_R_NOT_A_SQUARE);
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
+ goto end;
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|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
}
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|
|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
/* t := y^2^(e - i - 1) */
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|
![](https://seccdn.libravatar.org/avatar/eca4d0658e293ac828929c05684948cb411ba891fa2ad2130aafa91b664e89ad?s=16&d=retro) |
f57b16 |
|