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Boxiang Sun
Pyston
Commits
69d515d2
Commit
69d515d2
authored
Nov 12, 2015
by
Boxiang Sun
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use cpython's _Py_double_round implementation
parent
407b2f95
Changes
2
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-141
from_cpython/Objects/floatobject.c
from_cpython/Objects/floatobject.c
+0
-3
src/runtime/float.cpp
src/runtime/float.cpp
+0
-138
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from_cpython/Objects/floatobject.c
View file @
69d515d2
...
...
@@ -1120,8 +1120,6 @@ float_long(PyObject *v)
#error "C doubles do not appear to be IEEE 754 binary64 format"
#endif
// pyston change: comment this out
#if 0
PyObject
*
_Py_double_round
(
double
x
,
int
ndigits
)
{
...
...
@@ -1258,7 +1256,6 @@ _Py_double_round(double x, int ndigits) {
_Py_dg_freedtoa
(
buf
);
return
result
;
}
#endif
#undef FIVE_POW_LIMIT
...
...
src/runtime/float.cpp
View file @
69d515d2
...
...
@@ -1565,144 +1565,6 @@ extern "C" double _PyFloat_Unpack8(const unsigned char* p, int le) noexcept {
}
}
#if DBL_MANT_DIG == 53
#define FIVE_POW_LIMIT 22
#else
#error "C doubles do not appear to be IEEE 754 binary64 format"
#endif
extern
"C"
PyObject
*
_Py_double_round
(
double
x
,
int
ndigits
)
noexcept
{
double
rounded
,
m
;
Py_ssize_t
buflen
,
mybuflen
=
100
;
char
*
buf
,
*
buf_end
,
shortbuf
[
100
],
*
mybuf
=
shortbuf
;
int
decpt
,
sign
,
val
,
halfway_case
;
PyObject
*
result
=
NULL
;
_Py_SET_53BIT_PRECISION_HEADER
;
/* Easy path for the common case ndigits == 0. */
if
(
ndigits
==
0
)
{
rounded
=
round
(
x
);
if
(
fabs
(
rounded
-
x
)
==
0.5
)
/* halfway between two integers; use round-away-from-zero */
rounded
=
x
+
(
x
>
0.0
?
0.5
:
-
0.5
);
return
PyFloat_FromDouble
(
rounded
);
}
/* The basic idea is very simple: convert and round the double to a
decimal string using _Py_dg_dtoa, then convert that decimal string
back to a double with _Py_dg_strtod. There's one minor difficulty:
Python 2.x expects round to do round-half-away-from-zero, while
_Py_dg_dtoa does round-half-to-even. So we need some way to detect
and correct the halfway cases.
Detection: a halfway value has the form k * 0.5 * 10**-ndigits for
some odd integer k. Or in other words, a rational number x is
exactly halfway between two multiples of 10**-ndigits if its
2-valuation is exactly -ndigits-1 and its 5-valuation is at least
-ndigits. For ndigits >= 0 the latter condition is automatically
satisfied for a binary float x, since any such float has
nonnegative 5-valuation. For 0 > ndigits >= -22, x needs to be an
integral multiple of 5**-ndigits; we can check this using fmod.
For -22 > ndigits, there are no halfway cases: 5**23 takes 54 bits
to represent exactly, so any odd multiple of 0.5 * 10**n for n >=
23 takes at least 54 bits of precision to represent exactly.
Correction: a simple strategy for dealing with halfway cases is to
(for the halfway cases only) call _Py_dg_dtoa with an argument of
ndigits+1 instead of ndigits (thus doing an exact conversion to
decimal), round the resulting string manually, and then convert
back using _Py_dg_strtod.
*/
/* nans, infinities and zeros should have already been dealt
with by the caller (in this case, builtin_round) */
assert
(
std
::
isfinite
(
x
)
&&
x
!=
0.0
);
/* find 2-valuation val of x */
m
=
frexp
(
x
,
&
val
);
while
(
m
!=
floor
(
m
))
{
m
*=
2.0
;
val
--
;
}
/* determine whether this is a halfway case */
if
(
val
==
-
ndigits
-
1
)
{
if
(
ndigits
>=
0
)
halfway_case
=
1
;
else
if
(
ndigits
>=
-
FIVE_POW_LIMIT
)
{
double
five_pow
=
1.0
;
int
i
;
for
(
i
=
0
;
i
<
-
ndigits
;
i
++
)
five_pow
*=
5.0
;
halfway_case
=
fmod
(
x
,
five_pow
)
==
0.0
;
}
else
halfway_case
=
0
;
}
else
halfway_case
=
0
;
/* round to a decimal string; use an extra place for halfway case */
_Py_SET_53BIT_PRECISION_START
;
buf
=
_Py_dg_dtoa
(
x
,
3
,
ndigits
+
halfway_case
,
&
decpt
,
&
sign
,
&
buf_end
);
_Py_SET_53BIT_PRECISION_END
;
if
(
buf
==
NULL
)
{
PyErr_NoMemory
();
return
NULL
;
}
buflen
=
buf_end
-
buf
;
/* in halfway case, do the round-half-away-from-zero manually */
if
(
halfway_case
)
{
int
i
,
carry
;
/* sanity check: _Py_dg_dtoa should not have stripped
any zeros from the result: there should be exactly
ndigits+1 places following the decimal point, and
the last digit in the buffer should be a '5'.*/
assert
(
buflen
-
decpt
==
ndigits
+
1
);
assert
(
buf
[
buflen
-
1
]
==
'5'
);
/* increment and shift right at the same time. */
decpt
+=
1
;
carry
=
1
;
for
(
i
=
buflen
-
1
;
i
--
>
0
;)
{
carry
+=
buf
[
i
]
-
'0'
;
buf
[
i
+
1
]
=
carry
%
10
+
'0'
;
carry
/=
10
;
}
buf
[
0
]
=
carry
+
'0'
;
}
/* Get new buffer if shortbuf is too small. Space needed <= buf_end -
buf + 8: (1 extra for '0', 1 for sign, 5 for exp, 1 for '\0'). */
if
(
buflen
+
8
>
mybuflen
)
{
mybuflen
=
buflen
+
8
;
mybuf
=
(
char
*
)
PyMem_Malloc
(
mybuflen
);
if
(
mybuf
==
NULL
)
{
PyErr_NoMemory
();
goto
exit
;
}
}
/* copy buf to mybuf, adding exponent, sign and leading 0 */
PyOS_snprintf
(
mybuf
,
mybuflen
,
"%s0%se%d"
,
(
sign
?
"-"
:
""
),
buf
,
decpt
-
(
int
)
buflen
);
/* and convert the resulting string back to a double */
errno
=
0
;
_Py_SET_53BIT_PRECISION_START
;
rounded
=
_Py_dg_strtod
(
mybuf
,
NULL
);
_Py_SET_53BIT_PRECISION_END
;
if
(
errno
==
ERANGE
&&
fabs
(
rounded
)
>=
1.
)
PyErr_SetString
(
PyExc_OverflowError
,
"rounded value too large to represent"
);
else
result
=
PyFloat_FromDouble
(
rounded
);
/* done computing value; now clean up */
if
(
mybuf
!=
shortbuf
)
PyMem_Free
(
mybuf
);
exit:
_Py_dg_freedtoa
(
buf
);
return
result
;
}
static
PyObject
*
float_getnewargs
(
PyFloatObject
*
v
)
noexcept
{
return
Py_BuildValue
(
"(d)"
,
v
->
ob_fval
);
}
...
...
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