mirror of
https://github.com/python/cpython.git
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2685563583
svn+ssh://pythondev@svn.python.org/python/trunk ........ r60364 | neal.norwitz | 2008-01-27 19:09:48 +0100 (Sun, 27 Jan 2008) | 4 lines Update the comment and remove the close. If we close we can't flush anymore. We might still need to close after the for loop if flushing 6! times still doesn't cause the signal/exception. ........ r60365 | georg.brandl | 2008-01-27 19:14:43 +0100 (Sun, 27 Jan 2008) | 2 lines Remove effectless expression statement. ........ r60367 | neal.norwitz | 2008-01-27 19:19:04 +0100 (Sun, 27 Jan 2008) | 1 line Try to handle socket.errors properly in is_unavailable ........ r60370 | christian.heimes | 2008-01-27 20:01:45 +0100 (Sun, 27 Jan 2008) | 1 line Change isbasestring function as discussed on the cvs list a while ago ........ r60372 | neal.norwitz | 2008-01-27 21:03:13 +0100 (Sun, 27 Jan 2008) | 3 lines socket.error doesn't have a headers attribute like ProtocolError. Handle that situation where we catch socket.errors. ........ r60375 | georg.brandl | 2008-01-27 21:25:12 +0100 (Sun, 27 Jan 2008) | 2 lines Add refcounting extension to build config. ........ r60377 | jeffrey.yasskin | 2008-01-28 00:08:46 +0100 (Mon, 28 Jan 2008) | 6 lines Moved Rational._binary_float_to_ratio() to float.as_integer_ratio() because it's useful outside of rational numbers. This is my first C code that had to do anything significant. Please be more careful when looking over it. ........ r60378 | christian.heimes | 2008-01-28 00:34:59 +0100 (Mon, 28 Jan 2008) | 1 line Added clear cache methods to clear the internal type lookup cache for ref leak test runs. ........
2105 lines
48 KiB
C
2105 lines
48 KiB
C
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|
/* Float object implementation */
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|
|
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/* XXX There should be overflow checks here, but it's hard to check
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for any kind of float exception without losing portability. */
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#include "Python.h"
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#include "structseq.h"
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|
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#include "formatter_unicode.h"
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|
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#include <ctype.h>
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#include <float.h>
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|
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#if !defined(__STDC__)
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extern double fmod(double, double);
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extern double pow(double, double);
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#endif
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|
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#ifdef _OSF_SOURCE
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/* OSF1 5.1 doesn't make this available with XOPEN_SOURCE_EXTENDED defined */
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extern int finite(double);
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#endif
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|
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/* Special free list -- see comments for same code in intobject.c. */
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#define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */
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#define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */
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#define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject))
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|
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struct _floatblock {
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struct _floatblock *next;
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PyFloatObject objects[N_FLOATOBJECTS];
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};
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|
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typedef struct _floatblock PyFloatBlock;
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|
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static PyFloatBlock *block_list = NULL;
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static PyFloatObject *free_list = NULL;
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|
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static PyFloatObject *
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fill_free_list(void)
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{
|
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PyFloatObject *p, *q;
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/* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */
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p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock));
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if (p == NULL)
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return (PyFloatObject *) PyErr_NoMemory();
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((PyFloatBlock *)p)->next = block_list;
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block_list = (PyFloatBlock *)p;
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p = &((PyFloatBlock *)p)->objects[0];
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q = p + N_FLOATOBJECTS;
|
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while (--q > p)
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Py_TYPE(q) = (struct _typeobject *)(q-1);
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Py_TYPE(q) = NULL;
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return p + N_FLOATOBJECTS - 1;
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}
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|
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double
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PyFloat_GetMax(void)
|
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{
|
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return DBL_MAX;
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}
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|
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double
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PyFloat_GetMin(void)
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{
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return DBL_MIN;
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}
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static PyTypeObject FloatInfoType;
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PyDoc_STRVAR(floatinfo__doc__,
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"sys.floatinfo\n\
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\n\
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A structseq holding information about the float type. It contains low level\n\
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information about the precision and internal representation. Please study\n\
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your system's :file:`float.h` for more information.");
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static PyStructSequence_Field floatinfo_fields[] = {
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{"max", "DBL_MAX -- maximum representable finite float"},
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{"max_exp", "DBL_MAX_EXP -- maximum int e such that radix**(e-1) "
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"is representable"},
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{"max_10_exp", "DBL_MAX_10_EXP -- maximum int e such that 10**e "
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"is representable"},
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{"min", "DBL_MIN -- Minimum positive normalizer float"},
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{"min_exp", "DBL_MIN_EXP -- minimum int e such that radix**(e-1) "
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"is a normalized float"},
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{"min_10_exp", "DBL_MIN_10_EXP -- minimum int e such that 10**e is "
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"a normalized"},
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{"dig", "DBL_DIG -- digits"},
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{"mant_dig", "DBL_MANT_DIG -- mantissa digits"},
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{"epsilon", "DBL_EPSILON -- Difference between 1 and the next "
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"representable float"},
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{"radix", "FLT_RADIX -- radix of exponent"},
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{"rounds", "FLT_ROUNDS -- addition rounds"},
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{0}
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};
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|
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static PyStructSequence_Desc floatinfo_desc = {
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"sys.floatinfo", /* name */
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floatinfo__doc__, /* doc */
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floatinfo_fields, /* fields */
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11
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};
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|
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PyObject *
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PyFloat_GetInfo(void)
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{
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static PyObject* floatinfo;
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int pos = 0;
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|
|
if (floatinfo != NULL) {
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Py_INCREF(floatinfo);
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return floatinfo;
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}
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PyStructSequence_InitType(&FloatInfoType, &floatinfo_desc);
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|
|
floatinfo = PyStructSequence_New(&FloatInfoType);
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|
if (floatinfo == NULL) {
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return NULL;
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}
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|
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#define SetIntFlag(flag) \
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PyStructSequence_SET_ITEM(floatinfo, pos++, PyLong_FromLong(flag))
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#define SetDblFlag(flag) \
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PyStructSequence_SET_ITEM(floatinfo, pos++, PyFloat_FromDouble(flag))
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|
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SetDblFlag(DBL_MAX);
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SetIntFlag(DBL_MAX_EXP);
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SetIntFlag(DBL_MAX_10_EXP);
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SetDblFlag(DBL_MIN);
|
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SetIntFlag(DBL_MIN_EXP);
|
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SetIntFlag(DBL_MIN_10_EXP);
|
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SetIntFlag(DBL_DIG);
|
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SetIntFlag(DBL_MANT_DIG);
|
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SetDblFlag(DBL_EPSILON);
|
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SetIntFlag(FLT_RADIX);
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SetIntFlag(FLT_ROUNDS);
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#undef SetIntFlag
|
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#undef SetDblFlag
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|
|
|
if (PyErr_Occurred()) {
|
|
Py_CLEAR(floatinfo);
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return NULL;
|
|
}
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|
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Py_INCREF(floatinfo);
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return floatinfo;
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}
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|
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PyObject *
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PyFloat_FromDouble(double fval)
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|
{
|
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register PyFloatObject *op;
|
|
if (free_list == NULL) {
|
|
if ((free_list = fill_free_list()) == NULL)
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|
return NULL;
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|
}
|
|
/* Inline PyObject_New */
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|
op = free_list;
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|
free_list = (PyFloatObject *)Py_TYPE(op);
|
|
PyObject_INIT(op, &PyFloat_Type);
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|
op->ob_fval = fval;
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|
return (PyObject *) op;
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|
}
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PyObject *
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PyFloat_FromString(PyObject *v)
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|
{
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|
const char *s, *last, *end, *sp;
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double x;
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char buffer[256]; /* for errors */
|
|
char *s_buffer = NULL;
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Py_ssize_t len;
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PyObject *result = NULL;
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|
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if (PyUnicode_Check(v)) {
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s_buffer = (char *)PyMem_MALLOC(PyUnicode_GET_SIZE(v)+1);
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|
if (s_buffer == NULL)
|
|
return PyErr_NoMemory();
|
|
if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v),
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PyUnicode_GET_SIZE(v),
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|
s_buffer,
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NULL))
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goto error;
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s = s_buffer;
|
|
len = strlen(s);
|
|
}
|
|
else if (PyObject_AsCharBuffer(v, &s, &len)) {
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|
PyErr_SetString(PyExc_TypeError,
|
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"float() argument must be a string or a number");
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|
return NULL;
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|
}
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|
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last = s + len;
|
|
while (*s && isspace(Py_CHARMASK(*s)))
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|
s++;
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if (*s == '\0') {
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PyErr_SetString(PyExc_ValueError, "empty string for float()");
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goto error;
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}
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sp = s;
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/* We don't care about overflow or underflow. If the platform supports
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* them, infinities and signed zeroes (on underflow) are fine.
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* However, strtod can return 0 for denormalized numbers, where atof
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* does not. So (alas!) we special-case a zero result. Note that
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* whether strtod sets errno on underflow is not defined, so we can't
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* key off errno.
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*/
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PyFPE_START_PROTECT("strtod", goto error)
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x = PyOS_ascii_strtod(s, (char **)&end);
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PyFPE_END_PROTECT(x)
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errno = 0;
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/* Believe it or not, Solaris 2.6 can move end *beyond* the null
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byte at the end of the string, when the input is inf(inity). */
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if (end > last)
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end = last;
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/* Check for inf and nan. This is done late because it rarely happens. */
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if (end == s) {
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char *p = (char*)sp;
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int sign = 1;
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|
|
|
if (*p == '-') {
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sign = -1;
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p++;
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}
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if (*p == '+') {
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p++;
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}
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|
if (PyOS_strnicmp(p, "inf", 4) == 0) {
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|
return PyFloat_FromDouble(sign * Py_HUGE_VAL);
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|
}
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#ifdef Py_NAN
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if(PyOS_strnicmp(p, "nan", 4) == 0) {
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return PyFloat_FromDouble(Py_NAN);
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}
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#endif
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PyOS_snprintf(buffer, sizeof(buffer),
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"invalid literal for float(): %.200s", s);
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PyErr_SetString(PyExc_ValueError, buffer);
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goto error;
|
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}
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/* Since end != s, the platform made *some* kind of sense out
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of the input. Trust it. */
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while (*end && isspace(Py_CHARMASK(*end)))
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end++;
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if (*end != '\0') {
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PyOS_snprintf(buffer, sizeof(buffer),
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"invalid literal for float(): %.200s", s);
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PyErr_SetString(PyExc_ValueError, buffer);
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goto error;
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}
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else if (end != last) {
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PyErr_SetString(PyExc_ValueError,
|
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"null byte in argument for float()");
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goto error;
|
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}
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if (x == 0.0) {
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/* See above -- may have been strtod being anal
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about denorms. */
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PyFPE_START_PROTECT("atof", goto error)
|
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x = PyOS_ascii_atof(s);
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PyFPE_END_PROTECT(x)
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errno = 0; /* whether atof ever set errno is undefined */
|
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}
|
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result = PyFloat_FromDouble(x);
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error:
|
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if (s_buffer)
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PyMem_FREE(s_buffer);
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return result;
|
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}
|
|
|
|
static void
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|
float_dealloc(PyFloatObject *op)
|
|
{
|
|
if (PyFloat_CheckExact(op)) {
|
|
Py_TYPE(op) = (struct _typeobject *)free_list;
|
|
free_list = op;
|
|
}
|
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else
|
|
Py_TYPE(op)->tp_free((PyObject *)op);
|
|
}
|
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|
|
double
|
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PyFloat_AsDouble(PyObject *op)
|
|
{
|
|
PyNumberMethods *nb;
|
|
PyFloatObject *fo;
|
|
double val;
|
|
|
|
if (op && PyFloat_Check(op))
|
|
return PyFloat_AS_DOUBLE((PyFloatObject*) op);
|
|
|
|
if (op == NULL) {
|
|
PyErr_BadArgument();
|
|
return -1;
|
|
}
|
|
|
|
if ((nb = Py_TYPE(op)->tp_as_number) == NULL || nb->nb_float == NULL) {
|
|
PyErr_SetString(PyExc_TypeError, "a float is required");
|
|
return -1;
|
|
}
|
|
|
|
fo = (PyFloatObject*) (*nb->nb_float) (op);
|
|
if (fo == NULL)
|
|
return -1;
|
|
if (!PyFloat_Check(fo)) {
|
|
PyErr_SetString(PyExc_TypeError,
|
|
"nb_float should return float object");
|
|
return -1;
|
|
}
|
|
|
|
val = PyFloat_AS_DOUBLE(fo);
|
|
Py_DECREF(fo);
|
|
|
|
return val;
|
|
}
|
|
|
|
/* Methods */
|
|
|
|
static void
|
|
format_double(char *buf, size_t buflen, double ob_fval, int precision)
|
|
{
|
|
register char *cp;
|
|
char format[32];
|
|
int i;
|
|
|
|
/* Subroutine for float_repr, float_str and float_print.
|
|
We want float numbers to be recognizable as such,
|
|
i.e., they should contain a decimal point or an exponent.
|
|
However, %g may print the number as an integer;
|
|
in such cases, we append ".0" to the string. */
|
|
|
|
PyOS_snprintf(format, 32, "%%.%ig", precision);
|
|
PyOS_ascii_formatd(buf, buflen, format, ob_fval);
|
|
cp = buf;
|
|
if (*cp == '-')
|
|
cp++;
|
|
for (; *cp != '\0'; cp++) {
|
|
/* Any non-digit means it's not an integer;
|
|
this takes care of NAN and INF as well. */
|
|
if (!isdigit(Py_CHARMASK(*cp)))
|
|
break;
|
|
}
|
|
if (*cp == '\0') {
|
|
*cp++ = '.';
|
|
*cp++ = '0';
|
|
*cp++ = '\0';
|
|
return;
|
|
}
|
|
/* Checking the next three chars should be more than enough to
|
|
* detect inf or nan, even on Windows. We check for inf or nan
|
|
* at last because they are rare cases.
|
|
*/
|
|
for (i=0; *cp != '\0' && i<3; cp++, i++) {
|
|
if (isdigit(Py_CHARMASK(*cp)) || *cp == '.')
|
|
continue;
|
|
/* found something that is neither a digit nor point
|
|
* it might be a NaN or INF
|
|
*/
|
|
#ifdef Py_NAN
|
|
if (Py_IS_NAN(ob_fval)) {
|
|
strcpy(buf, "nan");
|
|
}
|
|
else
|
|
#endif
|
|
if (Py_IS_INFINITY(ob_fval)) {
|
|
cp = buf;
|
|
if (*cp == '-')
|
|
cp++;
|
|
strcpy(cp, "inf");
|
|
}
|
|
break;
|
|
}
|
|
|
|
}
|
|
|
|
static void
|
|
format_float(char *buf, size_t buflen, PyFloatObject *v, int precision)
|
|
{
|
|
assert(PyFloat_Check(v));
|
|
format_double(buf, buflen, PyFloat_AS_DOUBLE(v), precision);
|
|
}
|
|
|
|
#ifdef Py_BROKEN_REPR
|
|
/* The following function is based on Tcl_PrintDouble,
|
|
* from tclUtil.c.
|
|
*/
|
|
|
|
#define is_infinite(d) ( (d) > DBL_MAX || (d) < -DBL_MAX )
|
|
#define is_nan(d) ((d) != (d))
|
|
|
|
static void
|
|
format_double_repr(char *dst, double value)
|
|
{
|
|
char *p, c;
|
|
int exp;
|
|
int signum;
|
|
char buffer[30];
|
|
|
|
/*
|
|
* Handle NaN.
|
|
*/
|
|
|
|
if (is_nan(value)) {
|
|
strcpy(dst, "nan");
|
|
return;
|
|
}
|
|
|
|
/*
|
|
* Handle infinities.
|
|
*/
|
|
|
|
if (is_infinite(value)) {
|
|
if (value < 0) {
|
|
strcpy(dst, "-inf");
|
|
} else {
|
|
strcpy(dst, "inf");
|
|
}
|
|
return;
|
|
}
|
|
|
|
/*
|
|
* Ordinary (normal and denormal) values.
|
|
*/
|
|
|
|
exp = _PyFloat_Digits(buffer, value, &signum)+1;
|
|
if (signum) {
|
|
*dst++ = '-';
|
|
}
|
|
p = buffer;
|
|
if (exp < -3 || exp > 17) {
|
|
/*
|
|
* E format for numbers < 1e-3 or >= 1e17.
|
|
*/
|
|
|
|
*dst++ = *p++;
|
|
c = *p;
|
|
if (c != '\0') {
|
|
*dst++ = '.';
|
|
while (c != '\0') {
|
|
*dst++ = c;
|
|
c = *++p;
|
|
}
|
|
}
|
|
sprintf(dst, "e%+d", exp-1);
|
|
} else {
|
|
/*
|
|
* F format for others.
|
|
*/
|
|
|
|
if (exp <= 0) {
|
|
*dst++ = '0';
|
|
}
|
|
c = *p;
|
|
while (exp-- > 0) {
|
|
if (c != '\0') {
|
|
*dst++ = c;
|
|
c = *++p;
|
|
} else {
|
|
*dst++ = '0';
|
|
}
|
|
}
|
|
*dst++ = '.';
|
|
if (c == '\0') {
|
|
*dst++ = '0';
|
|
} else {
|
|
while (++exp < 0) {
|
|
*dst++ = '0';
|
|
}
|
|
while (c != '\0') {
|
|
*dst++ = c;
|
|
c = *++p;
|
|
}
|
|
}
|
|
*dst++ = '\0';
|
|
}
|
|
}
|
|
|
|
static void
|
|
format_float_repr(char *buf, PyFloatObject *v)
|
|
{
|
|
assert(PyFloat_Check(v));
|
|
format_double_repr(buf, PyFloat_AS_DOUBLE(v));
|
|
}
|
|
|
|
#endif /* Py_BROKEN_REPR */
|
|
|
|
/* Macro and helper that convert PyObject obj to a C double and store
|
|
the value in dbl. If conversion to double raises an exception, obj is
|
|
set to NULL, and the function invoking this macro returns NULL. If
|
|
obj is not of float, int or long type, Py_NotImplemented is incref'ed,
|
|
stored in obj, and returned from the function invoking this macro.
|
|
*/
|
|
#define CONVERT_TO_DOUBLE(obj, dbl) \
|
|
if (PyFloat_Check(obj)) \
|
|
dbl = PyFloat_AS_DOUBLE(obj); \
|
|
else if (convert_to_double(&(obj), &(dbl)) < 0) \
|
|
return obj;
|
|
|
|
static int
|
|
convert_to_double(PyObject **v, double *dbl)
|
|
{
|
|
register PyObject *obj = *v;
|
|
|
|
if (PyLong_Check(obj)) {
|
|
*dbl = PyLong_AsDouble(obj);
|
|
if (*dbl == -1.0 && PyErr_Occurred()) {
|
|
*v = NULL;
|
|
return -1;
|
|
}
|
|
}
|
|
else {
|
|
Py_INCREF(Py_NotImplemented);
|
|
*v = Py_NotImplemented;
|
|
return -1;
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
/* Precisions used by repr() and str(), respectively.
|
|
|
|
The repr() precision (17 significant decimal digits) is the minimal number
|
|
that is guaranteed to have enough precision so that if the number is read
|
|
back in the exact same binary value is recreated. This is true for IEEE
|
|
floating point by design, and also happens to work for all other modern
|
|
hardware.
|
|
|
|
The str() precision is chosen so that in most cases, the rounding noise
|
|
created by various operations is suppressed, while giving plenty of
|
|
precision for practical use.
|
|
|
|
*/
|
|
|
|
#define PREC_REPR 17
|
|
#define PREC_STR 12
|
|
|
|
static PyObject *
|
|
float_repr(PyFloatObject *v)
|
|
{
|
|
#ifdef Py_BROKEN_REPR
|
|
char buf[30];
|
|
format_float_repr(buf, v);
|
|
#else
|
|
char buf[100];
|
|
format_float(buf, sizeof(buf), v, PREC_REPR);
|
|
#endif
|
|
|
|
return PyUnicode_FromString(buf);
|
|
}
|
|
|
|
static PyObject *
|
|
float_str(PyFloatObject *v)
|
|
{
|
|
char buf[100];
|
|
format_float(buf, sizeof(buf), v, PREC_STR);
|
|
return PyUnicode_FromString(buf);
|
|
}
|
|
|
|
/* Comparison is pretty much a nightmare. When comparing float to float,
|
|
* we do it as straightforwardly (and long-windedly) as conceivable, so
|
|
* that, e.g., Python x == y delivers the same result as the platform
|
|
* C x == y when x and/or y is a NaN.
|
|
* When mixing float with an integer type, there's no good *uniform* approach.
|
|
* Converting the double to an integer obviously doesn't work, since we
|
|
* may lose info from fractional bits. Converting the integer to a double
|
|
* also has two failure modes: (1) a long int may trigger overflow (too
|
|
* large to fit in the dynamic range of a C double); (2) even a C long may have
|
|
* more bits than fit in a C double (e.g., on a a 64-bit box long may have
|
|
* 63 bits of precision, but a C double probably has only 53), and then
|
|
* we can falsely claim equality when low-order integer bits are lost by
|
|
* coercion to double. So this part is painful too.
|
|
*/
|
|
|
|
static PyObject*
|
|
float_richcompare(PyObject *v, PyObject *w, int op)
|
|
{
|
|
double i, j;
|
|
int r = 0;
|
|
|
|
assert(PyFloat_Check(v));
|
|
i = PyFloat_AS_DOUBLE(v);
|
|
|
|
/* Switch on the type of w. Set i and j to doubles to be compared,
|
|
* and op to the richcomp to use.
|
|
*/
|
|
if (PyFloat_Check(w))
|
|
j = PyFloat_AS_DOUBLE(w);
|
|
|
|
else if (!Py_IS_FINITE(i)) {
|
|
if (PyLong_Check(w))
|
|
/* If i is an infinity, its magnitude exceeds any
|
|
* finite integer, so it doesn't matter which int we
|
|
* compare i with. If i is a NaN, similarly.
|
|
*/
|
|
j = 0.0;
|
|
else
|
|
goto Unimplemented;
|
|
}
|
|
|
|
else if (PyLong_Check(w)) {
|
|
int vsign = i == 0.0 ? 0 : i < 0.0 ? -1 : 1;
|
|
int wsign = _PyLong_Sign(w);
|
|
size_t nbits;
|
|
int exponent;
|
|
|
|
if (vsign != wsign) {
|
|
/* Magnitudes are irrelevant -- the signs alone
|
|
* determine the outcome.
|
|
*/
|
|
i = (double)vsign;
|
|
j = (double)wsign;
|
|
goto Compare;
|
|
}
|
|
/* The signs are the same. */
|
|
/* Convert w to a double if it fits. In particular, 0 fits. */
|
|
nbits = _PyLong_NumBits(w);
|
|
if (nbits == (size_t)-1 && PyErr_Occurred()) {
|
|
/* This long is so large that size_t isn't big enough
|
|
* to hold the # of bits. Replace with little doubles
|
|
* that give the same outcome -- w is so large that
|
|
* its magnitude must exceed the magnitude of any
|
|
* finite float.
|
|
*/
|
|
PyErr_Clear();
|
|
i = (double)vsign;
|
|
assert(wsign != 0);
|
|
j = wsign * 2.0;
|
|
goto Compare;
|
|
}
|
|
if (nbits <= 48) {
|
|
j = PyLong_AsDouble(w);
|
|
/* It's impossible that <= 48 bits overflowed. */
|
|
assert(j != -1.0 || ! PyErr_Occurred());
|
|
goto Compare;
|
|
}
|
|
assert(wsign != 0); /* else nbits was 0 */
|
|
assert(vsign != 0); /* if vsign were 0, then since wsign is
|
|
* not 0, we would have taken the
|
|
* vsign != wsign branch at the start */
|
|
/* We want to work with non-negative numbers. */
|
|
if (vsign < 0) {
|
|
/* "Multiply both sides" by -1; this also swaps the
|
|
* comparator.
|
|
*/
|
|
i = -i;
|
|
op = _Py_SwappedOp[op];
|
|
}
|
|
assert(i > 0.0);
|
|
(void) frexp(i, &exponent);
|
|
/* exponent is the # of bits in v before the radix point;
|
|
* we know that nbits (the # of bits in w) > 48 at this point
|
|
*/
|
|
if (exponent < 0 || (size_t)exponent < nbits) {
|
|
i = 1.0;
|
|
j = 2.0;
|
|
goto Compare;
|
|
}
|
|
if ((size_t)exponent > nbits) {
|
|
i = 2.0;
|
|
j = 1.0;
|
|
goto Compare;
|
|
}
|
|
/* v and w have the same number of bits before the radix
|
|
* point. Construct two longs that have the same comparison
|
|
* outcome.
|
|
*/
|
|
{
|
|
double fracpart;
|
|
double intpart;
|
|
PyObject *result = NULL;
|
|
PyObject *one = NULL;
|
|
PyObject *vv = NULL;
|
|
PyObject *ww = w;
|
|
|
|
if (wsign < 0) {
|
|
ww = PyNumber_Negative(w);
|
|
if (ww == NULL)
|
|
goto Error;
|
|
}
|
|
else
|
|
Py_INCREF(ww);
|
|
|
|
fracpart = modf(i, &intpart);
|
|
vv = PyLong_FromDouble(intpart);
|
|
if (vv == NULL)
|
|
goto Error;
|
|
|
|
if (fracpart != 0.0) {
|
|
/* Shift left, and or a 1 bit into vv
|
|
* to represent the lost fraction.
|
|
*/
|
|
PyObject *temp;
|
|
|
|
one = PyLong_FromLong(1);
|
|
if (one == NULL)
|
|
goto Error;
|
|
|
|
temp = PyNumber_Lshift(ww, one);
|
|
if (temp == NULL)
|
|
goto Error;
|
|
Py_DECREF(ww);
|
|
ww = temp;
|
|
|
|
temp = PyNumber_Lshift(vv, one);
|
|
if (temp == NULL)
|
|
goto Error;
|
|
Py_DECREF(vv);
|
|
vv = temp;
|
|
|
|
temp = PyNumber_Or(vv, one);
|
|
if (temp == NULL)
|
|
goto Error;
|
|
Py_DECREF(vv);
|
|
vv = temp;
|
|
}
|
|
|
|
r = PyObject_RichCompareBool(vv, ww, op);
|
|
if (r < 0)
|
|
goto Error;
|
|
result = PyBool_FromLong(r);
|
|
Error:
|
|
Py_XDECREF(vv);
|
|
Py_XDECREF(ww);
|
|
Py_XDECREF(one);
|
|
return result;
|
|
}
|
|
} /* else if (PyLong_Check(w)) */
|
|
|
|
else /* w isn't float, int, or long */
|
|
goto Unimplemented;
|
|
|
|
Compare:
|
|
PyFPE_START_PROTECT("richcompare", return NULL)
|
|
switch (op) {
|
|
case Py_EQ:
|
|
r = i == j;
|
|
break;
|
|
case Py_NE:
|
|
r = i != j;
|
|
break;
|
|
case Py_LE:
|
|
r = i <= j;
|
|
break;
|
|
case Py_GE:
|
|
r = i >= j;
|
|
break;
|
|
case Py_LT:
|
|
r = i < j;
|
|
break;
|
|
case Py_GT:
|
|
r = i > j;
|
|
break;
|
|
}
|
|
PyFPE_END_PROTECT(r)
|
|
return PyBool_FromLong(r);
|
|
|
|
Unimplemented:
|
|
Py_INCREF(Py_NotImplemented);
|
|
return Py_NotImplemented;
|
|
}
|
|
|
|
static long
|
|
float_hash(PyFloatObject *v)
|
|
{
|
|
return _Py_HashDouble(v->ob_fval);
|
|
}
|
|
|
|
static PyObject *
|
|
float_add(PyObject *v, PyObject *w)
|
|
{
|
|
double a,b;
|
|
CONVERT_TO_DOUBLE(v, a);
|
|
CONVERT_TO_DOUBLE(w, b);
|
|
PyFPE_START_PROTECT("add", return 0)
|
|
a = a + b;
|
|
PyFPE_END_PROTECT(a)
|
|
return PyFloat_FromDouble(a);
|
|
}
|
|
|
|
static PyObject *
|
|
float_sub(PyObject *v, PyObject *w)
|
|
{
|
|
double a,b;
|
|
CONVERT_TO_DOUBLE(v, a);
|
|
CONVERT_TO_DOUBLE(w, b);
|
|
PyFPE_START_PROTECT("subtract", return 0)
|
|
a = a - b;
|
|
PyFPE_END_PROTECT(a)
|
|
return PyFloat_FromDouble(a);
|
|
}
|
|
|
|
static PyObject *
|
|
float_mul(PyObject *v, PyObject *w)
|
|
{
|
|
double a,b;
|
|
CONVERT_TO_DOUBLE(v, a);
|
|
CONVERT_TO_DOUBLE(w, b);
|
|
PyFPE_START_PROTECT("multiply", return 0)
|
|
a = a * b;
|
|
PyFPE_END_PROTECT(a)
|
|
return PyFloat_FromDouble(a);
|
|
}
|
|
|
|
static PyObject *
|
|
float_div(PyObject *v, PyObject *w)
|
|
{
|
|
double a,b;
|
|
CONVERT_TO_DOUBLE(v, a);
|
|
CONVERT_TO_DOUBLE(w, b);
|
|
if (b == 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float division");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("divide", return 0)
|
|
a = a / b;
|
|
PyFPE_END_PROTECT(a)
|
|
return PyFloat_FromDouble(a);
|
|
}
|
|
|
|
static PyObject *
|
|
float_rem(PyObject *v, PyObject *w)
|
|
{
|
|
double vx, wx;
|
|
double mod;
|
|
CONVERT_TO_DOUBLE(v, vx);
|
|
CONVERT_TO_DOUBLE(w, wx);
|
|
if (wx == 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float modulo");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("modulo", return 0)
|
|
mod = fmod(vx, wx);
|
|
/* note: checking mod*wx < 0 is incorrect -- underflows to
|
|
0 if wx < sqrt(smallest nonzero double) */
|
|
if (mod && ((wx < 0) != (mod < 0))) {
|
|
mod += wx;
|
|
}
|
|
PyFPE_END_PROTECT(mod)
|
|
return PyFloat_FromDouble(mod);
|
|
}
|
|
|
|
static PyObject *
|
|
float_divmod(PyObject *v, PyObject *w)
|
|
{
|
|
double vx, wx;
|
|
double div, mod, floordiv;
|
|
CONVERT_TO_DOUBLE(v, vx);
|
|
CONVERT_TO_DOUBLE(w, wx);
|
|
if (wx == 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("divmod", return 0)
|
|
mod = fmod(vx, wx);
|
|
/* fmod is typically exact, so vx-mod is *mathematically* an
|
|
exact multiple of wx. But this is fp arithmetic, and fp
|
|
vx - mod is an approximation; the result is that div may
|
|
not be an exact integral value after the division, although
|
|
it will always be very close to one.
|
|
*/
|
|
div = (vx - mod) / wx;
|
|
if (mod) {
|
|
/* ensure the remainder has the same sign as the denominator */
|
|
if ((wx < 0) != (mod < 0)) {
|
|
mod += wx;
|
|
div -= 1.0;
|
|
}
|
|
}
|
|
else {
|
|
/* the remainder is zero, and in the presence of signed zeroes
|
|
fmod returns different results across platforms; ensure
|
|
it has the same sign as the denominator; we'd like to do
|
|
"mod = wx * 0.0", but that may get optimized away */
|
|
mod *= mod; /* hide "mod = +0" from optimizer */
|
|
if (wx < 0.0)
|
|
mod = -mod;
|
|
}
|
|
/* snap quotient to nearest integral value */
|
|
if (div) {
|
|
floordiv = floor(div);
|
|
if (div - floordiv > 0.5)
|
|
floordiv += 1.0;
|
|
}
|
|
else {
|
|
/* div is zero - get the same sign as the true quotient */
|
|
div *= div; /* hide "div = +0" from optimizers */
|
|
floordiv = div * vx / wx; /* zero w/ sign of vx/wx */
|
|
}
|
|
PyFPE_END_PROTECT(floordiv)
|
|
return Py_BuildValue("(dd)", floordiv, mod);
|
|
}
|
|
|
|
static PyObject *
|
|
float_floor_div(PyObject *v, PyObject *w)
|
|
{
|
|
PyObject *t, *r;
|
|
|
|
t = float_divmod(v, w);
|
|
if (t == NULL || t == Py_NotImplemented)
|
|
return t;
|
|
assert(PyTuple_CheckExact(t));
|
|
r = PyTuple_GET_ITEM(t, 0);
|
|
Py_INCREF(r);
|
|
Py_DECREF(t);
|
|
return r;
|
|
}
|
|
|
|
static PyObject *
|
|
float_pow(PyObject *v, PyObject *w, PyObject *z)
|
|
{
|
|
double iv, iw, ix;
|
|
|
|
if ((PyObject *)z != Py_None) {
|
|
PyErr_SetString(PyExc_TypeError, "pow() 3rd argument not "
|
|
"allowed unless all arguments are integers");
|
|
return NULL;
|
|
}
|
|
|
|
CONVERT_TO_DOUBLE(v, iv);
|
|
CONVERT_TO_DOUBLE(w, iw);
|
|
|
|
/* Sort out special cases here instead of relying on pow() */
|
|
if (iw == 0) { /* v**0 is 1, even 0**0 */
|
|
return PyFloat_FromDouble(1.0);
|
|
}
|
|
if (iv == 0.0) { /* 0**w is error if w<0, else 1 */
|
|
if (iw < 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError,
|
|
"0.0 cannot be raised to a negative power");
|
|
return NULL;
|
|
}
|
|
return PyFloat_FromDouble(0.0);
|
|
}
|
|
if (iv < 0.0) {
|
|
/* Whether this is an error is a mess, and bumps into libm
|
|
* bugs so we have to figure it out ourselves.
|
|
*/
|
|
if (iw != floor(iw)) {
|
|
/* Negative numbers raised to fractional powers
|
|
* become complex.
|
|
*/
|
|
return PyComplex_Type.tp_as_number->nb_power(v, w, z);
|
|
}
|
|
/* iw is an exact integer, albeit perhaps a very large one.
|
|
* -1 raised to an exact integer should never be exceptional.
|
|
* Alas, some libms (chiefly glibc as of early 2003) return
|
|
* NaN and set EDOM on pow(-1, large_int) if the int doesn't
|
|
* happen to be representable in a *C* integer. That's a
|
|
* bug; we let that slide in math.pow() (which currently
|
|
* reflects all platform accidents), but not for Python's **.
|
|
*/
|
|
if (iv == -1.0 && Py_IS_FINITE(iw)) {
|
|
/* Return 1 if iw is even, -1 if iw is odd; there's
|
|
* no guarantee that any C integral type is big
|
|
* enough to hold iw, so we have to check this
|
|
* indirectly.
|
|
*/
|
|
ix = floor(iw * 0.5) * 2.0;
|
|
return PyFloat_FromDouble(ix == iw ? 1.0 : -1.0);
|
|
}
|
|
/* Else iv != -1.0, and overflow or underflow are possible.
|
|
* Unless we're to write pow() ourselves, we have to trust
|
|
* the platform to do this correctly.
|
|
*/
|
|
}
|
|
errno = 0;
|
|
PyFPE_START_PROTECT("pow", return NULL)
|
|
ix = pow(iv, iw);
|
|
PyFPE_END_PROTECT(ix)
|
|
Py_ADJUST_ERANGE1(ix);
|
|
if (errno != 0) {
|
|
/* We don't expect any errno value other than ERANGE, but
|
|
* the range of libm bugs appears unbounded.
|
|
*/
|
|
PyErr_SetFromErrno(errno == ERANGE ? PyExc_OverflowError :
|
|
PyExc_ValueError);
|
|
return NULL;
|
|
}
|
|
return PyFloat_FromDouble(ix);
|
|
}
|
|
|
|
static PyObject *
|
|
float_neg(PyFloatObject *v)
|
|
{
|
|
return PyFloat_FromDouble(-v->ob_fval);
|
|
}
|
|
|
|
static PyObject *
|
|
float_abs(PyFloatObject *v)
|
|
{
|
|
return PyFloat_FromDouble(fabs(v->ob_fval));
|
|
}
|
|
|
|
static int
|
|
float_bool(PyFloatObject *v)
|
|
{
|
|
return v->ob_fval != 0.0;
|
|
}
|
|
|
|
static PyObject *
|
|
float_trunc(PyObject *v)
|
|
{
|
|
double x = PyFloat_AsDouble(v);
|
|
double wholepart; /* integral portion of x, rounded toward 0 */
|
|
|
|
(void)modf(x, &wholepart);
|
|
/* Try to get out cheap if this fits in a Python int. The attempt
|
|
* to cast to long must be protected, as C doesn't define what
|
|
* happens if the double is too big to fit in a long. Some rare
|
|
* systems raise an exception then (RISCOS was mentioned as one,
|
|
* and someone using a non-default option on Sun also bumped into
|
|
* that). Note that checking for >= and <= LONG_{MIN,MAX} would
|
|
* still be vulnerable: if a long has more bits of precision than
|
|
* a double, casting MIN/MAX to double may yield an approximation,
|
|
* and if that's rounded up, then, e.g., wholepart=LONG_MAX+1 would
|
|
* yield true from the C expression wholepart<=LONG_MAX, despite
|
|
* that wholepart is actually greater than LONG_MAX.
|
|
*/
|
|
if (LONG_MIN < wholepart && wholepart < LONG_MAX) {
|
|
const long aslong = (long)wholepart;
|
|
return PyLong_FromLong(aslong);
|
|
}
|
|
return PyLong_FromDouble(wholepart);
|
|
}
|
|
|
|
static PyObject *
|
|
float_round(PyObject *v, PyObject *args)
|
|
{
|
|
#define UNDEF_NDIGITS (-0x7fffffff) /* Unlikely ndigits value */
|
|
double x;
|
|
double f = 1.0;
|
|
double flr, cil;
|
|
double rounded;
|
|
int ndigits = UNDEF_NDIGITS;
|
|
|
|
if (!PyArg_ParseTuple(args, "|i", &ndigits))
|
|
return NULL;
|
|
|
|
x = PyFloat_AsDouble(v);
|
|
|
|
if (ndigits != UNDEF_NDIGITS) {
|
|
f = pow(10.0, ndigits);
|
|
x *= f;
|
|
}
|
|
|
|
flr = floor(x);
|
|
cil = ceil(x);
|
|
|
|
if (x-flr > 0.5)
|
|
rounded = cil;
|
|
else if (x-flr == 0.5)
|
|
rounded = fmod(flr, 2) == 0 ? flr : cil;
|
|
else
|
|
rounded = flr;
|
|
|
|
if (ndigits != UNDEF_NDIGITS) {
|
|
rounded /= f;
|
|
return PyFloat_FromDouble(rounded);
|
|
}
|
|
|
|
return PyLong_FromDouble(rounded);
|
|
#undef UNDEF_NDIGITS
|
|
}
|
|
|
|
static PyObject *
|
|
float_float(PyObject *v)
|
|
{
|
|
if (PyFloat_CheckExact(v))
|
|
Py_INCREF(v);
|
|
else
|
|
v = PyFloat_FromDouble(((PyFloatObject *)v)->ob_fval);
|
|
return v;
|
|
}
|
|
|
|
static PyObject *
|
|
float_as_integer_ratio(PyObject *v)
|
|
{
|
|
double self;
|
|
double float_part;
|
|
int exponent;
|
|
int is_negative;
|
|
const int chunk_size = 28;
|
|
PyObject *prev;
|
|
PyObject *py_chunk = NULL;
|
|
PyObject *py_exponent = NULL;
|
|
PyObject *numerator = NULL;
|
|
PyObject *denominator = NULL;
|
|
PyObject *result_pair = NULL;
|
|
PyNumberMethods *long_methods;
|
|
|
|
#define INPLACE_UPDATE(obj, call) \
|
|
prev = obj; \
|
|
obj = call; \
|
|
Py_DECREF(prev); \
|
|
|
|
CONVERT_TO_DOUBLE(v, self);
|
|
|
|
if (Py_IS_INFINITY(self)) {
|
|
PyErr_SetString(PyExc_OverflowError,
|
|
"Cannot pass infinity to float.as_integer_ratio.");
|
|
return NULL;
|
|
}
|
|
#ifdef Py_NAN
|
|
if (Py_IS_NAN(self)) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"Cannot pass nan to float.as_integer_ratio.");
|
|
return NULL;
|
|
}
|
|
#endif
|
|
|
|
if (self == 0) {
|
|
numerator = PyLong_FromLong(0);
|
|
if (numerator == NULL) goto error;
|
|
denominator = PyLong_FromLong(1);
|
|
if (denominator == NULL) goto error;
|
|
result_pair = PyTuple_Pack(2, numerator, denominator);
|
|
/* Hand ownership over to the tuple. If the tuple
|
|
wasn't created successfully, we want to delete the
|
|
ints anyway. */
|
|
Py_DECREF(numerator);
|
|
Py_DECREF(denominator);
|
|
return result_pair;
|
|
}
|
|
|
|
/* XXX: Could perhaps handle FLT_RADIX!=2 by using ilogb and
|
|
scalbn, but those may not be in C89. */
|
|
PyFPE_START_PROTECT("as_integer_ratio", goto error);
|
|
float_part = frexp(self, &exponent);
|
|
is_negative = 0;
|
|
if (float_part < 0) {
|
|
float_part = -float_part;
|
|
is_negative = 1;
|
|
/* 0.5 <= float_part < 1.0 */
|
|
}
|
|
PyFPE_END_PROTECT(float_part);
|
|
/* abs(self) == float_part * 2**exponent exactly */
|
|
|
|
/* Suck up chunk_size bits at a time; 28 is enough so that we
|
|
suck up all bits in 2 iterations for all known binary
|
|
double-precision formats, and small enough to fit in a
|
|
long. */
|
|
numerator = PyLong_FromLong(0);
|
|
if (numerator == NULL) goto error;
|
|
|
|
long_methods = PyLong_Type.tp_as_number;
|
|
|
|
py_chunk = PyLong_FromLong(chunk_size);
|
|
if (py_chunk == NULL) goto error;
|
|
|
|
while (float_part != 0) {
|
|
/* invariant: abs(self) ==
|
|
(numerator + float_part) * 2**exponent exactly */
|
|
long digit;
|
|
PyObject *py_digit;
|
|
|
|
PyFPE_START_PROTECT("as_integer_ratio", goto error);
|
|
/* Pull chunk_size bits out of float_part, into digits. */
|
|
float_part = ldexp(float_part, chunk_size);
|
|
digit = (long)float_part;
|
|
float_part -= digit;
|
|
/* 0 <= float_part < 1 */
|
|
exponent -= chunk_size;
|
|
PyFPE_END_PROTECT(float_part);
|
|
|
|
/* Shift digits into numerator. */
|
|
// numerator <<= chunk_size
|
|
INPLACE_UPDATE(numerator,
|
|
long_methods->nb_lshift(numerator, py_chunk));
|
|
if (numerator == NULL) goto error;
|
|
|
|
// numerator |= digit
|
|
py_digit = PyLong_FromLong(digit);
|
|
if (py_digit == NULL) goto error;
|
|
INPLACE_UPDATE(numerator,
|
|
long_methods->nb_or(numerator, py_digit));
|
|
Py_DECREF(py_digit);
|
|
if (numerator == NULL) goto error;
|
|
}
|
|
|
|
/* Add in the sign bit. */
|
|
if (is_negative) {
|
|
INPLACE_UPDATE(numerator,
|
|
long_methods->nb_negative(numerator));
|
|
if (numerator == NULL) goto error;
|
|
}
|
|
|
|
/* now self = numerator * 2**exponent exactly; fold in 2**exponent */
|
|
denominator = PyLong_FromLong(1);
|
|
py_exponent = PyLong_FromLong(labs(exponent));
|
|
if (py_exponent == NULL) goto error;
|
|
INPLACE_UPDATE(py_exponent,
|
|
long_methods->nb_lshift(denominator, py_exponent));
|
|
if (py_exponent == NULL) goto error;
|
|
if (exponent > 0) {
|
|
INPLACE_UPDATE(numerator,
|
|
long_methods->nb_multiply(numerator,
|
|
py_exponent));
|
|
if (numerator == NULL) goto error;
|
|
}
|
|
else {
|
|
Py_DECREF(denominator);
|
|
denominator = py_exponent;
|
|
py_exponent = NULL;
|
|
}
|
|
|
|
result_pair = PyTuple_Pack(2, numerator, denominator);
|
|
|
|
#undef INPLACE_UPDATE
|
|
error:
|
|
Py_XDECREF(py_exponent);
|
|
Py_XDECREF(py_chunk);
|
|
Py_XDECREF(denominator);
|
|
Py_XDECREF(numerator);
|
|
return result_pair;
|
|
}
|
|
|
|
PyDoc_STRVAR(float_as_integer_ratio_doc,
|
|
"float.as_integer_ratio() -> (int, int)\n"
|
|
"\n"
|
|
"Returns a pair of integers, not necessarily in lowest terms, whose\n"
|
|
"ratio is exactly equal to the original float. This method raises an\n"
|
|
"OverflowError on infinities and a ValueError on nans. The resulting\n"
|
|
"denominator will be positive.\n"
|
|
"\n"
|
|
">>> (10.0).as_integer_ratio()\n"
|
|
"(167772160L, 16777216L)\n"
|
|
">>> (0.0).as_integer_ratio()\n"
|
|
"(0, 1)\n"
|
|
">>> (-.25).as_integer_ratio()\n"
|
|
"(-134217728L, 536870912L)");
|
|
|
|
|
|
static PyObject *
|
|
float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds);
|
|
|
|
static PyObject *
|
|
float_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
|
|
{
|
|
PyObject *x = Py_False; /* Integer zero */
|
|
static char *kwlist[] = {"x", 0};
|
|
|
|
if (type != &PyFloat_Type)
|
|
return float_subtype_new(type, args, kwds); /* Wimp out */
|
|
if (!PyArg_ParseTupleAndKeywords(args, kwds, "|O:float", kwlist, &x))
|
|
return NULL;
|
|
if (PyUnicode_Check(x))
|
|
return PyFloat_FromString(x);
|
|
return PyNumber_Float(x);
|
|
}
|
|
|
|
/* Wimpy, slow approach to tp_new calls for subtypes of float:
|
|
first create a regular float from whatever arguments we got,
|
|
then allocate a subtype instance and initialize its ob_fval
|
|
from the regular float. The regular float is then thrown away.
|
|
*/
|
|
static PyObject *
|
|
float_subtype_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
|
|
{
|
|
PyObject *tmp, *newobj;
|
|
|
|
assert(PyType_IsSubtype(type, &PyFloat_Type));
|
|
tmp = float_new(&PyFloat_Type, args, kwds);
|
|
if (tmp == NULL)
|
|
return NULL;
|
|
assert(PyFloat_CheckExact(tmp));
|
|
newobj = type->tp_alloc(type, 0);
|
|
if (newobj == NULL) {
|
|
Py_DECREF(tmp);
|
|
return NULL;
|
|
}
|
|
((PyFloatObject *)newobj)->ob_fval = ((PyFloatObject *)tmp)->ob_fval;
|
|
Py_DECREF(tmp);
|
|
return newobj;
|
|
}
|
|
|
|
static PyObject *
|
|
float_getnewargs(PyFloatObject *v)
|
|
{
|
|
return Py_BuildValue("(d)", v->ob_fval);
|
|
}
|
|
|
|
/* this is for the benefit of the pack/unpack routines below */
|
|
|
|
typedef enum {
|
|
unknown_format, ieee_big_endian_format, ieee_little_endian_format
|
|
} float_format_type;
|
|
|
|
static float_format_type double_format, float_format;
|
|
static float_format_type detected_double_format, detected_float_format;
|
|
|
|
static PyObject *
|
|
float_getformat(PyTypeObject *v, PyObject* arg)
|
|
{
|
|
char* s;
|
|
float_format_type r;
|
|
|
|
if (!PyUnicode_Check(arg)) {
|
|
PyErr_Format(PyExc_TypeError,
|
|
"__getformat__() argument must be string, not %.500s",
|
|
Py_TYPE(arg)->tp_name);
|
|
return NULL;
|
|
}
|
|
s = PyUnicode_AsString(arg);
|
|
if (s == NULL)
|
|
return NULL;
|
|
if (strcmp(s, "double") == 0) {
|
|
r = double_format;
|
|
}
|
|
else if (strcmp(s, "float") == 0) {
|
|
r = float_format;
|
|
}
|
|
else {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"__getformat__() argument 1 must be "
|
|
"'double' or 'float'");
|
|
return NULL;
|
|
}
|
|
|
|
switch (r) {
|
|
case unknown_format:
|
|
return PyUnicode_FromString("unknown");
|
|
case ieee_little_endian_format:
|
|
return PyUnicode_FromString("IEEE, little-endian");
|
|
case ieee_big_endian_format:
|
|
return PyUnicode_FromString("IEEE, big-endian");
|
|
default:
|
|
Py_FatalError("insane float_format or double_format");
|
|
return NULL;
|
|
}
|
|
}
|
|
|
|
PyDoc_STRVAR(float_getformat_doc,
|
|
"float.__getformat__(typestr) -> string\n"
|
|
"\n"
|
|
"You probably don't want to use this function. It exists mainly to be\n"
|
|
"used in Python's test suite.\n"
|
|
"\n"
|
|
"typestr must be 'double' or 'float'. This function returns whichever of\n"
|
|
"'unknown', 'IEEE, big-endian' or 'IEEE, little-endian' best describes the\n"
|
|
"format of floating point numbers used by the C type named by typestr.");
|
|
|
|
static PyObject *
|
|
float_setformat(PyTypeObject *v, PyObject* args)
|
|
{
|
|
char* typestr;
|
|
char* format;
|
|
float_format_type f;
|
|
float_format_type detected;
|
|
float_format_type *p;
|
|
|
|
if (!PyArg_ParseTuple(args, "ss:__setformat__", &typestr, &format))
|
|
return NULL;
|
|
|
|
if (strcmp(typestr, "double") == 0) {
|
|
p = &double_format;
|
|
detected = detected_double_format;
|
|
}
|
|
else if (strcmp(typestr, "float") == 0) {
|
|
p = &float_format;
|
|
detected = detected_float_format;
|
|
}
|
|
else {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"__setformat__() argument 1 must "
|
|
"be 'double' or 'float'");
|
|
return NULL;
|
|
}
|
|
|
|
if (strcmp(format, "unknown") == 0) {
|
|
f = unknown_format;
|
|
}
|
|
else if (strcmp(format, "IEEE, little-endian") == 0) {
|
|
f = ieee_little_endian_format;
|
|
}
|
|
else if (strcmp(format, "IEEE, big-endian") == 0) {
|
|
f = ieee_big_endian_format;
|
|
}
|
|
else {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"__setformat__() argument 2 must be "
|
|
"'unknown', 'IEEE, little-endian' or "
|
|
"'IEEE, big-endian'");
|
|
return NULL;
|
|
|
|
}
|
|
|
|
if (f != unknown_format && f != detected) {
|
|
PyErr_Format(PyExc_ValueError,
|
|
"can only set %s format to 'unknown' or the "
|
|
"detected platform value", typestr);
|
|
return NULL;
|
|
}
|
|
|
|
*p = f;
|
|
Py_RETURN_NONE;
|
|
}
|
|
|
|
PyDoc_STRVAR(float_setformat_doc,
|
|
"float.__setformat__(typestr, fmt) -> None\n"
|
|
"\n"
|
|
"You probably don't want to use this function. It exists mainly to be\n"
|
|
"used in Python's test suite.\n"
|
|
"\n"
|
|
"typestr must be 'double' or 'float'. fmt must be one of 'unknown',\n"
|
|
"'IEEE, big-endian' or 'IEEE, little-endian', and in addition can only be\n"
|
|
"one of the latter two if it appears to match the underlying C reality.\n"
|
|
"\n"
|
|
"Overrides the automatic determination of C-level floating point type.\n"
|
|
"This affects how floats are converted to and from binary strings.");
|
|
|
|
static PyObject *
|
|
float_getzero(PyObject *v, void *closure)
|
|
{
|
|
return PyFloat_FromDouble(0.0);
|
|
}
|
|
|
|
static PyObject *
|
|
float__format__(PyObject *self, PyObject *args)
|
|
{
|
|
/* when back porting this to 2.6, check type of the format_spec
|
|
and call either unicode_long__format__ or
|
|
string_long__format__ */
|
|
return unicode_float__format__(self, args);
|
|
}
|
|
|
|
PyDoc_STRVAR(float__format__doc,
|
|
"float.__format__(format_spec) -> string\n"
|
|
"\n"
|
|
"Formats the float according to format_spec.");
|
|
|
|
|
|
static PyMethodDef float_methods[] = {
|
|
{"conjugate", (PyCFunction)float_float, METH_NOARGS,
|
|
"Returns self, the complex conjugate of any float."},
|
|
{"__trunc__", (PyCFunction)float_trunc, METH_NOARGS,
|
|
"Returns the Integral closest to x between 0 and x."},
|
|
{"__round__", (PyCFunction)float_round, METH_VARARGS,
|
|
"Returns the Integral closest to x, rounding half toward even.\n"
|
|
"When an argument is passed, works like built-in round(x, ndigits)."},
|
|
{"as_integer_ratio", (PyCFunction)float_as_integer_ratio, METH_NOARGS,
|
|
float_as_integer_ratio_doc},
|
|
{"__getnewargs__", (PyCFunction)float_getnewargs, METH_NOARGS},
|
|
{"__getformat__", (PyCFunction)float_getformat,
|
|
METH_O|METH_CLASS, float_getformat_doc},
|
|
{"__setformat__", (PyCFunction)float_setformat,
|
|
METH_VARARGS|METH_CLASS, float_setformat_doc},
|
|
{"__format__", (PyCFunction)float__format__,
|
|
METH_VARARGS, float__format__doc},
|
|
{NULL, NULL} /* sentinel */
|
|
};
|
|
|
|
static PyGetSetDef float_getset[] = {
|
|
{"real",
|
|
(getter)float_float, (setter)NULL,
|
|
"the real part of a complex number",
|
|
NULL},
|
|
{"imag",
|
|
(getter)float_getzero, (setter)NULL,
|
|
"the imaginary part of a complex number",
|
|
NULL},
|
|
{NULL} /* Sentinel */
|
|
};
|
|
|
|
PyDoc_STRVAR(float_doc,
|
|
"float(x) -> floating point number\n\
|
|
\n\
|
|
Convert a string or number to a floating point number, if possible.");
|
|
|
|
|
|
static PyNumberMethods float_as_number = {
|
|
float_add, /*nb_add*/
|
|
float_sub, /*nb_subtract*/
|
|
float_mul, /*nb_multiply*/
|
|
float_rem, /*nb_remainder*/
|
|
float_divmod, /*nb_divmod*/
|
|
float_pow, /*nb_power*/
|
|
(unaryfunc)float_neg, /*nb_negative*/
|
|
(unaryfunc)float_float, /*nb_positive*/
|
|
(unaryfunc)float_abs, /*nb_absolute*/
|
|
(inquiry)float_bool, /*nb_bool*/
|
|
0, /*nb_invert*/
|
|
0, /*nb_lshift*/
|
|
0, /*nb_rshift*/
|
|
0, /*nb_and*/
|
|
0, /*nb_xor*/
|
|
0, /*nb_or*/
|
|
0, /*nb_reserved*/
|
|
float_trunc, /*nb_int*/
|
|
float_trunc, /*nb_long*/
|
|
float_float, /*nb_float*/
|
|
0, /* nb_oct */
|
|
0, /* nb_hex */
|
|
0, /* nb_inplace_add */
|
|
0, /* nb_inplace_subtract */
|
|
0, /* nb_inplace_multiply */
|
|
0, /* nb_inplace_remainder */
|
|
0, /* nb_inplace_power */
|
|
0, /* nb_inplace_lshift */
|
|
0, /* nb_inplace_rshift */
|
|
0, /* nb_inplace_and */
|
|
0, /* nb_inplace_xor */
|
|
0, /* nb_inplace_or */
|
|
float_floor_div, /* nb_floor_divide */
|
|
float_div, /* nb_true_divide */
|
|
0, /* nb_inplace_floor_divide */
|
|
0, /* nb_inplace_true_divide */
|
|
};
|
|
|
|
PyTypeObject PyFloat_Type = {
|
|
PyVarObject_HEAD_INIT(&PyType_Type, 0)
|
|
"float",
|
|
sizeof(PyFloatObject),
|
|
0,
|
|
(destructor)float_dealloc, /* tp_dealloc */
|
|
0, /* tp_print */
|
|
0, /* tp_getattr */
|
|
0, /* tp_setattr */
|
|
0, /* tp_compare */
|
|
(reprfunc)float_repr, /* tp_repr */
|
|
&float_as_number, /* tp_as_number */
|
|
0, /* tp_as_sequence */
|
|
0, /* tp_as_mapping */
|
|
(hashfunc)float_hash, /* tp_hash */
|
|
0, /* tp_call */
|
|
(reprfunc)float_str, /* tp_str */
|
|
PyObject_GenericGetAttr, /* tp_getattro */
|
|
0, /* tp_setattro */
|
|
0, /* tp_as_buffer */
|
|
Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE, /* tp_flags */
|
|
float_doc, /* tp_doc */
|
|
0, /* tp_traverse */
|
|
0, /* tp_clear */
|
|
float_richcompare, /* tp_richcompare */
|
|
0, /* tp_weaklistoffset */
|
|
0, /* tp_iter */
|
|
0, /* tp_iternext */
|
|
float_methods, /* tp_methods */
|
|
0, /* tp_members */
|
|
float_getset, /* tp_getset */
|
|
0, /* tp_base */
|
|
0, /* tp_dict */
|
|
0, /* tp_descr_get */
|
|
0, /* tp_descr_set */
|
|
0, /* tp_dictoffset */
|
|
0, /* tp_init */
|
|
0, /* tp_alloc */
|
|
float_new, /* tp_new */
|
|
};
|
|
|
|
void
|
|
_PyFloat_Init(void)
|
|
{
|
|
/* We attempt to determine if this machine is using IEEE
|
|
floating point formats by peering at the bits of some
|
|
carefully chosen values. If it looks like we are on an
|
|
IEEE platform, the float packing/unpacking routines can
|
|
just copy bits, if not they resort to arithmetic & shifts
|
|
and masks. The shifts & masks approach works on all finite
|
|
values, but what happens to infinities, NaNs and signed
|
|
zeroes on packing is an accident, and attempting to unpack
|
|
a NaN or an infinity will raise an exception.
|
|
|
|
Note that if we're on some whacked-out platform which uses
|
|
IEEE formats but isn't strictly little-endian or big-
|
|
endian, we will fall back to the portable shifts & masks
|
|
method. */
|
|
|
|
#if SIZEOF_DOUBLE == 8
|
|
{
|
|
double x = 9006104071832581.0;
|
|
if (memcmp(&x, "\x43\x3f\xff\x01\x02\x03\x04\x05", 8) == 0)
|
|
detected_double_format = ieee_big_endian_format;
|
|
else if (memcmp(&x, "\x05\x04\x03\x02\x01\xff\x3f\x43", 8) == 0)
|
|
detected_double_format = ieee_little_endian_format;
|
|
else
|
|
detected_double_format = unknown_format;
|
|
}
|
|
#else
|
|
detected_double_format = unknown_format;
|
|
#endif
|
|
|
|
#if SIZEOF_FLOAT == 4
|
|
{
|
|
float y = 16711938.0;
|
|
if (memcmp(&y, "\x4b\x7f\x01\x02", 4) == 0)
|
|
detected_float_format = ieee_big_endian_format;
|
|
else if (memcmp(&y, "\x02\x01\x7f\x4b", 4) == 0)
|
|
detected_float_format = ieee_little_endian_format;
|
|
else
|
|
detected_float_format = unknown_format;
|
|
}
|
|
#else
|
|
detected_float_format = unknown_format;
|
|
#endif
|
|
|
|
double_format = detected_double_format;
|
|
float_format = detected_float_format;
|
|
|
|
#ifdef Py_BROKEN_REPR
|
|
/* Initialize floating point repr */
|
|
_PyFloat_DigitsInit();
|
|
#endif
|
|
}
|
|
|
|
void
|
|
PyFloat_Fini(void)
|
|
{
|
|
PyFloatObject *p;
|
|
PyFloatBlock *list, *next;
|
|
unsigned i;
|
|
int bc, bf; /* block count, number of freed blocks */
|
|
int frem, fsum; /* remaining unfreed floats per block, total */
|
|
|
|
bc = 0;
|
|
bf = 0;
|
|
fsum = 0;
|
|
list = block_list;
|
|
block_list = NULL;
|
|
free_list = NULL;
|
|
while (list != NULL) {
|
|
bc++;
|
|
frem = 0;
|
|
for (i = 0, p = &list->objects[0];
|
|
i < N_FLOATOBJECTS;
|
|
i++, p++) {
|
|
if (PyFloat_CheckExact(p) && Py_REFCNT(p) != 0)
|
|
frem++;
|
|
}
|
|
next = list->next;
|
|
if (frem) {
|
|
list->next = block_list;
|
|
block_list = list;
|
|
for (i = 0, p = &list->objects[0];
|
|
i < N_FLOATOBJECTS;
|
|
i++, p++) {
|
|
if (!PyFloat_CheckExact(p) ||
|
|
Py_REFCNT(p) == 0) {
|
|
Py_TYPE(p) = (struct _typeobject *)
|
|
free_list;
|
|
free_list = p;
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
PyMem_FREE(list); /* XXX PyObject_FREE ??? */
|
|
bf++;
|
|
}
|
|
fsum += frem;
|
|
list = next;
|
|
}
|
|
if (!Py_VerboseFlag)
|
|
return;
|
|
fprintf(stderr, "# cleanup floats");
|
|
if (!fsum) {
|
|
fprintf(stderr, "\n");
|
|
}
|
|
else {
|
|
fprintf(stderr,
|
|
": %d unfreed float%s in %d out of %d block%s\n",
|
|
fsum, fsum == 1 ? "" : "s",
|
|
bc - bf, bc, bc == 1 ? "" : "s");
|
|
}
|
|
if (Py_VerboseFlag > 1) {
|
|
list = block_list;
|
|
while (list != NULL) {
|
|
for (i = 0, p = &list->objects[0];
|
|
i < N_FLOATOBJECTS;
|
|
i++, p++) {
|
|
if (PyFloat_CheckExact(p) &&
|
|
Py_REFCNT(p) != 0) {
|
|
char buf[100];
|
|
format_float(buf, sizeof(buf), p, PREC_STR);
|
|
/* XXX(twouters) cast refcount to
|
|
long until %zd is universally
|
|
available
|
|
*/
|
|
fprintf(stderr,
|
|
"# <float at %p, refcnt=%ld, val=%s>\n",
|
|
p, (long)Py_REFCNT(p), buf);
|
|
}
|
|
}
|
|
list = list->next;
|
|
}
|
|
}
|
|
}
|
|
|
|
/*----------------------------------------------------------------------------
|
|
* _PyFloat_{Pack,Unpack}{4,8}. See floatobject.h.
|
|
*
|
|
* TODO: On platforms that use the standard IEEE-754 single and double
|
|
* formats natively, these routines could simply copy the bytes.
|
|
*/
|
|
int
|
|
_PyFloat_Pack4(double x, unsigned char *p, int le)
|
|
{
|
|
if (float_format == unknown_format) {
|
|
unsigned char sign;
|
|
int e;
|
|
double f;
|
|
unsigned int fbits;
|
|
int incr = 1;
|
|
|
|
if (le) {
|
|
p += 3;
|
|
incr = -1;
|
|
}
|
|
|
|
if (x < 0) {
|
|
sign = 1;
|
|
x = -x;
|
|
}
|
|
else
|
|
sign = 0;
|
|
|
|
f = frexp(x, &e);
|
|
|
|
/* Normalize f to be in the range [1.0, 2.0) */
|
|
if (0.5 <= f && f < 1.0) {
|
|
f *= 2.0;
|
|
e--;
|
|
}
|
|
else if (f == 0.0)
|
|
e = 0;
|
|
else {
|
|
PyErr_SetString(PyExc_SystemError,
|
|
"frexp() result out of range");
|
|
return -1;
|
|
}
|
|
|
|
if (e >= 128)
|
|
goto Overflow;
|
|
else if (e < -126) {
|
|
/* Gradual underflow */
|
|
f = ldexp(f, 126 + e);
|
|
e = 0;
|
|
}
|
|
else if (!(e == 0 && f == 0.0)) {
|
|
e += 127;
|
|
f -= 1.0; /* Get rid of leading 1 */
|
|
}
|
|
|
|
f *= 8388608.0; /* 2**23 */
|
|
fbits = (unsigned int)(f + 0.5); /* Round */
|
|
assert(fbits <= 8388608);
|
|
if (fbits >> 23) {
|
|
/* The carry propagated out of a string of 23 1 bits. */
|
|
fbits = 0;
|
|
++e;
|
|
if (e >= 255)
|
|
goto Overflow;
|
|
}
|
|
|
|
/* First byte */
|
|
*p = (sign << 7) | (e >> 1);
|
|
p += incr;
|
|
|
|
/* Second byte */
|
|
*p = (char) (((e & 1) << 7) | (fbits >> 16));
|
|
p += incr;
|
|
|
|
/* Third byte */
|
|
*p = (fbits >> 8) & 0xFF;
|
|
p += incr;
|
|
|
|
/* Fourth byte */
|
|
*p = fbits & 0xFF;
|
|
|
|
/* Done */
|
|
return 0;
|
|
|
|
Overflow:
|
|
PyErr_SetString(PyExc_OverflowError,
|
|
"float too large to pack with f format");
|
|
return -1;
|
|
}
|
|
else {
|
|
float y = (float)x;
|
|
const char *s = (char*)&y;
|
|
int i, incr = 1;
|
|
|
|
if ((float_format == ieee_little_endian_format && !le)
|
|
|| (float_format == ieee_big_endian_format && le)) {
|
|
p += 3;
|
|
incr = -1;
|
|
}
|
|
|
|
for (i = 0; i < 4; i++) {
|
|
*p = *s++;
|
|
p += incr;
|
|
}
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
int
|
|
_PyFloat_Pack8(double x, unsigned char *p, int le)
|
|
{
|
|
if (double_format == unknown_format) {
|
|
unsigned char sign;
|
|
int e;
|
|
double f;
|
|
unsigned int fhi, flo;
|
|
int incr = 1;
|
|
|
|
if (le) {
|
|
p += 7;
|
|
incr = -1;
|
|
}
|
|
|
|
if (x < 0) {
|
|
sign = 1;
|
|
x = -x;
|
|
}
|
|
else
|
|
sign = 0;
|
|
|
|
f = frexp(x, &e);
|
|
|
|
/* Normalize f to be in the range [1.0, 2.0) */
|
|
if (0.5 <= f && f < 1.0) {
|
|
f *= 2.0;
|
|
e--;
|
|
}
|
|
else if (f == 0.0)
|
|
e = 0;
|
|
else {
|
|
PyErr_SetString(PyExc_SystemError,
|
|
"frexp() result out of range");
|
|
return -1;
|
|
}
|
|
|
|
if (e >= 1024)
|
|
goto Overflow;
|
|
else if (e < -1022) {
|
|
/* Gradual underflow */
|
|
f = ldexp(f, 1022 + e);
|
|
e = 0;
|
|
}
|
|
else if (!(e == 0 && f == 0.0)) {
|
|
e += 1023;
|
|
f -= 1.0; /* Get rid of leading 1 */
|
|
}
|
|
|
|
/* fhi receives the high 28 bits; flo the low 24 bits (== 52 bits) */
|
|
f *= 268435456.0; /* 2**28 */
|
|
fhi = (unsigned int)f; /* Truncate */
|
|
assert(fhi < 268435456);
|
|
|
|
f -= (double)fhi;
|
|
f *= 16777216.0; /* 2**24 */
|
|
flo = (unsigned int)(f + 0.5); /* Round */
|
|
assert(flo <= 16777216);
|
|
if (flo >> 24) {
|
|
/* The carry propagated out of a string of 24 1 bits. */
|
|
flo = 0;
|
|
++fhi;
|
|
if (fhi >> 28) {
|
|
/* And it also progagated out of the next 28 bits. */
|
|
fhi = 0;
|
|
++e;
|
|
if (e >= 2047)
|
|
goto Overflow;
|
|
}
|
|
}
|
|
|
|
/* First byte */
|
|
*p = (sign << 7) | (e >> 4);
|
|
p += incr;
|
|
|
|
/* Second byte */
|
|
*p = (unsigned char) (((e & 0xF) << 4) | (fhi >> 24));
|
|
p += incr;
|
|
|
|
/* Third byte */
|
|
*p = (fhi >> 16) & 0xFF;
|
|
p += incr;
|
|
|
|
/* Fourth byte */
|
|
*p = (fhi >> 8) & 0xFF;
|
|
p += incr;
|
|
|
|
/* Fifth byte */
|
|
*p = fhi & 0xFF;
|
|
p += incr;
|
|
|
|
/* Sixth byte */
|
|
*p = (flo >> 16) & 0xFF;
|
|
p += incr;
|
|
|
|
/* Seventh byte */
|
|
*p = (flo >> 8) & 0xFF;
|
|
p += incr;
|
|
|
|
/* Eighth byte */
|
|
*p = flo & 0xFF;
|
|
p += incr;
|
|
|
|
/* Done */
|
|
return 0;
|
|
|
|
Overflow:
|
|
PyErr_SetString(PyExc_OverflowError,
|
|
"float too large to pack with d format");
|
|
return -1;
|
|
}
|
|
else {
|
|
const char *s = (char*)&x;
|
|
int i, incr = 1;
|
|
|
|
if ((double_format == ieee_little_endian_format && !le)
|
|
|| (double_format == ieee_big_endian_format && le)) {
|
|
p += 7;
|
|
incr = -1;
|
|
}
|
|
|
|
for (i = 0; i < 8; i++) {
|
|
*p = *s++;
|
|
p += incr;
|
|
}
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
/* Should only be used by marshal. */
|
|
int
|
|
_PyFloat_Repr(double x, char *p, size_t len)
|
|
{
|
|
format_double(p, len, x, PREC_REPR);
|
|
return (int)strlen(p);
|
|
}
|
|
|
|
double
|
|
_PyFloat_Unpack4(const unsigned char *p, int le)
|
|
{
|
|
if (float_format == unknown_format) {
|
|
unsigned char sign;
|
|
int e;
|
|
unsigned int f;
|
|
double x;
|
|
int incr = 1;
|
|
|
|
if (le) {
|
|
p += 3;
|
|
incr = -1;
|
|
}
|
|
|
|
/* First byte */
|
|
sign = (*p >> 7) & 1;
|
|
e = (*p & 0x7F) << 1;
|
|
p += incr;
|
|
|
|
/* Second byte */
|
|
e |= (*p >> 7) & 1;
|
|
f = (*p & 0x7F) << 16;
|
|
p += incr;
|
|
|
|
if (e == 255) {
|
|
PyErr_SetString(
|
|
PyExc_ValueError,
|
|
"can't unpack IEEE 754 special value "
|
|
"on non-IEEE platform");
|
|
return -1;
|
|
}
|
|
|
|
/* Third byte */
|
|
f |= *p << 8;
|
|
p += incr;
|
|
|
|
/* Fourth byte */
|
|
f |= *p;
|
|
|
|
x = (double)f / 8388608.0;
|
|
|
|
/* XXX This sadly ignores Inf/NaN issues */
|
|
if (e == 0)
|
|
e = -126;
|
|
else {
|
|
x += 1.0;
|
|
e -= 127;
|
|
}
|
|
x = ldexp(x, e);
|
|
|
|
if (sign)
|
|
x = -x;
|
|
|
|
return x;
|
|
}
|
|
else {
|
|
float x;
|
|
|
|
if ((float_format == ieee_little_endian_format && !le)
|
|
|| (float_format == ieee_big_endian_format && le)) {
|
|
char buf[4];
|
|
char *d = &buf[3];
|
|
int i;
|
|
|
|
for (i = 0; i < 4; i++) {
|
|
*d-- = *p++;
|
|
}
|
|
memcpy(&x, buf, 4);
|
|
}
|
|
else {
|
|
memcpy(&x, p, 4);
|
|
}
|
|
|
|
return x;
|
|
}
|
|
}
|
|
|
|
double
|
|
_PyFloat_Unpack8(const unsigned char *p, int le)
|
|
{
|
|
if (double_format == unknown_format) {
|
|
unsigned char sign;
|
|
int e;
|
|
unsigned int fhi, flo;
|
|
double x;
|
|
int incr = 1;
|
|
|
|
if (le) {
|
|
p += 7;
|
|
incr = -1;
|
|
}
|
|
|
|
/* First byte */
|
|
sign = (*p >> 7) & 1;
|
|
e = (*p & 0x7F) << 4;
|
|
|
|
p += incr;
|
|
|
|
/* Second byte */
|
|
e |= (*p >> 4) & 0xF;
|
|
fhi = (*p & 0xF) << 24;
|
|
p += incr;
|
|
|
|
if (e == 2047) {
|
|
PyErr_SetString(
|
|
PyExc_ValueError,
|
|
"can't unpack IEEE 754 special value "
|
|
"on non-IEEE platform");
|
|
return -1.0;
|
|
}
|
|
|
|
/* Third byte */
|
|
fhi |= *p << 16;
|
|
p += incr;
|
|
|
|
/* Fourth byte */
|
|
fhi |= *p << 8;
|
|
p += incr;
|
|
|
|
/* Fifth byte */
|
|
fhi |= *p;
|
|
p += incr;
|
|
|
|
/* Sixth byte */
|
|
flo = *p << 16;
|
|
p += incr;
|
|
|
|
/* Seventh byte */
|
|
flo |= *p << 8;
|
|
p += incr;
|
|
|
|
/* Eighth byte */
|
|
flo |= *p;
|
|
|
|
x = (double)fhi + (double)flo / 16777216.0; /* 2**24 */
|
|
x /= 268435456.0; /* 2**28 */
|
|
|
|
if (e == 0)
|
|
e = -1022;
|
|
else {
|
|
x += 1.0;
|
|
e -= 1023;
|
|
}
|
|
x = ldexp(x, e);
|
|
|
|
if (sign)
|
|
x = -x;
|
|
|
|
return x;
|
|
}
|
|
else {
|
|
double x;
|
|
|
|
if ((double_format == ieee_little_endian_format && !le)
|
|
|| (double_format == ieee_big_endian_format && le)) {
|
|
char buf[8];
|
|
char *d = &buf[7];
|
|
int i;
|
|
|
|
for (i = 0; i < 8; i++) {
|
|
*d-- = *p++;
|
|
}
|
|
memcpy(&x, buf, 8);
|
|
}
|
|
else {
|
|
memcpy(&x, p, 8);
|
|
}
|
|
|
|
return x;
|
|
}
|
|
}
|