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diff --git a/Tests/test_imagepath.py b/Tests/test_imagepath.py
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index 98a6d34..733fd29 100644
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--- a/Tests/test_imagepath.py
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+++ b/Tests/test_imagepath.py
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@@ -67,6 +67,11 @@ class TestImagePath(PillowTestCase):
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             p = ImagePath.Path(arr.tostring())
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         self.assertEqual(list(p), [(0.0, 1.0)])
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+    def test_getbbox(self):
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+        for coords in (0,1):
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+            p = ImagePath.Path(coords)
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+            self.assertEqual(p.getbbox(), (0.0, 0.0, 0.0, 0.0))
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+
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     def test_overflow_segfault(self):
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         # Some Pythons fail getting the argument as an integer, and it falls
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         # through to the sequence. Seeing this on 32-bit Windows.
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diff --git a/src/path.c b/src/path.c
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index eb1e065..5215f87 100644
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--- a/src/path.c
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+++ b/src/path.c
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@@ -62,7 +62,7 @@ alloc_array(Py_ssize_t count)
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         PyErr_NoMemory();
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         return NULL;
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     }
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-    xy = malloc(2 * count * sizeof(double) + 1);
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+    xy = calloc(2 * count + 1, sizeof(double));
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     if (!xy)
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         PyErr_NoMemory();
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     return xy;
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@@ -330,18 +330,27 @@ path_getbbox(PyPathObject* self, PyObject* args)
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     xy = self->xy;
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-    x0 = x1 = xy[0];
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-    y0 = y1 = xy[1];
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-
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-    for (i = 1; i < self->count; i++) {
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-        if (xy[i+i] < x0)
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-            x0 = xy[i+i];
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-        if (xy[i+i] > x1)
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-            x1 = xy[i+i];
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-        if (xy[i+i+1] < y0)
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-            y0 = xy[i+i+1];
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-        if (xy[i+i+1] > y1)
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-            y1 = xy[i+i+1];
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+    if (self->count == 0) {
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+        x0 = x1 = 0;
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+        y0 = y1 = 0;
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+    } else {
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+        x0 = x1 = xy[0];
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+        y0 = y1 = xy[1];
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+
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+        for (i = 1; i < self->count; i++) {
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+            if (xy[i + i] < x0) {
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+                x0 = xy[i + i];
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+            }
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+            if (xy[i + i] > x1) {
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+                x1 = xy[i + i];
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+            }
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+            if (xy[i + i + 1] < y0) {
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+                y0 = xy[i + i + 1];
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+            }
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+            if (xy[i + i + 1] > y1) {
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+                y1 = xy[i + i + 1];
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+            }
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+        }
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     }
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     return Py_BuildValue("dddd", x0, y0, x1, y1);