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54 changes: 44 additions & 10 deletions Lib/test/test_capi/test_float.py
Original file line number Diff line number Diff line change
Expand Up @@ -29,6 +29,23 @@
NAN = float("nan")


def make_nan(size, sign, quiet, payload=None):
if size == 8:
payload_mask = 0x7ffffffffffff
i = (sign << 63) + (0x7ff << 52) + (quiet << 51)
elif size == 4:
payload_mask = 0x3fffff
i = (sign << 31) + (0xff << 23) + (quiet << 22)
elif size == 2:
payload_mask = 0x1ff
i = (sign << 15) + (0x1f << 10) + (quiet << 9)
else:
raise ValueError("size must be either 2, 4, or 8")
if payload is None:
payload = random.randint(not quiet, payload_mask)
return i + payload


class CAPIFloatTest(unittest.TestCase):
def test_check(self):
# Test PyFloat_Check()
Expand Down Expand Up @@ -202,16 +219,7 @@ def test_pack_unpack_roundtrip_for_nans(self):
# HP PA RISC uses 0 for quiet, see:
# https://en.wikipedia.org/wiki/NaN#Encoding
signaling = 1
quiet = int(not signaling)
if size == 8:
payload = random.randint(signaling, 0x7ffffffffffff)
i = (sign << 63) + (0x7ff << 52) + (quiet << 51) + payload
elif size == 4:
payload = random.randint(signaling, 0x3fffff)
i = (sign << 31) + (0xff << 23) + (quiet << 22) + payload
elif size == 2:
payload = random.randint(signaling, 0x1ff)
i = (sign << 15) + (0x1f << 10) + (quiet << 9) + payload
i = make_nan(size, sign, not signaling)
data = bytes.fromhex(f'{i:x}')
for endian in (BIG_ENDIAN, LITTLE_ENDIAN):
with self.subTest(data=data, size=size, endian=endian):
Expand All @@ -221,6 +229,32 @@ def test_pack_unpack_roundtrip_for_nans(self):
self.assertTrue(math.isnan(value))
self.assertEqual(data1, data2)

@unittest.skipUnless(HAVE_IEEE_754, "requires IEEE 754")
@unittest.skipUnless(sys.maxsize != 2147483647, "requires 64-bit mode")
def test_pack_unpack_nans_for_different_formats(self):
pack = _testcapi.float_pack
unpack = _testcapi.float_unpack

for endian in (BIG_ENDIAN, LITTLE_ENDIAN):
with self.subTest(endian=endian):
byteorder = "big" if endian == BIG_ENDIAN else "little"

# Convert sNaN to qNaN, if payload got truncated
data = make_nan(8, 0, False, 0x80001).to_bytes(8, byteorder)
snan_low = unpack(data, endian)
qnan4 = make_nan(4, 0, True, 0).to_bytes(4, byteorder)
qnan2 = make_nan(2, 0, True, 0).to_bytes(2, byteorder)
self.assertEqual(pack(4, snan_low, endian), qnan4)
self.assertEqual(pack(2, snan_low, endian), qnan2)

# Preserve NaN type, if payload not truncated
data = make_nan(8, 0, False, 0x80000000001).to_bytes(8, byteorder)
snan_high = unpack(data, endian)
snan4 = make_nan(4, 0, False, 16384).to_bytes(4, byteorder)
snan2 = make_nan(2, 0, False, 2).to_bytes(2, byteorder)
self.assertEqual(pack(4, snan_high, endian), snan4)
self.assertEqual(pack(2, snan_high, endian), snan2)


if __name__ == "__main__":
unittest.main()
Original file line number Diff line number Diff line change
@@ -0,0 +1,3 @@
Make qNaN in :c:func:`PyFloat_Pack2` and :c:func:`PyFloat_Pack4`, if while
conversion to a narrower precision floating-point format --- the remaining
after truncation payload will be zero. Patch by Sergey B Kirpichev.
16 changes: 12 additions & 4 deletions Objects/floatobject.c
Original file line number Diff line number Diff line change
Expand Up @@ -2028,6 +2028,10 @@ PyFloat_Pack2(double x, char *data, int le)
memcpy(&v, &x, sizeof(v));
v &= 0xffc0000000000ULL;
bits = (unsigned short)(v >> 42); /* NaN's type & payload */
/* set qNaN if no payload */
if (!bits) {
bits |= (1<<9);
}
}
else {
sign = (x < 0.0);
Expand Down Expand Up @@ -2200,16 +2204,16 @@ PyFloat_Pack4(double x, char *data, int le)
if ((v & (1ULL << 51)) == 0) {
uint32_t u32;
memcpy(&u32, &y, 4);
u32 &= ~(1 << 22); /* make sNaN */
/* if have payload, make sNaN */
if (u32 & 0x3fffff) {
u32 &= ~(1 << 22);
}
memcpy(&y, &u32, 4);
}
#else
uint32_t u32;

memcpy(&u32, &y, 4);
if ((v & (1ULL << 51)) == 0) {
u32 &= ~(1 << 22);
}
/* Workaround RISC-V: "If a NaN value is converted to a
* different floating-point type, the result is the
* canonical NaN of the new type". The canonical NaN here
Expand All @@ -2220,6 +2224,10 @@ PyFloat_Pack4(double x, char *data, int le)
/* add payload */
u32 -= (u32 & 0x3fffff);
u32 += (uint32_t)((v & 0x7ffffffffffffULL) >> 29);
/* if have payload, make sNaN */
if ((v & (1ULL << 51)) == 0 && (u32 & 0x3fffff)) {
u32 &= ~(1 << 22);
}

memcpy(&y, &u32, 4);
#endif
Expand Down
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