cpython/Objects/floatobject.c

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/***********************************************************
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Copyright (c) 2000, BeOpen.com.
Copyright (c) 1995-2000, Corporation for National Research Initiatives.
Copyright (c) 1990-1995, Stichting Mathematisch Centrum.
All rights reserved.
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See the file "Misc/COPYRIGHT" for information on usage and
redistribution of this file, and for a DISCLAIMER OF ALL WARRANTIES.
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******************************************************************/
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/* Float object implementation */
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/* XXX There should be overflow checks here, but it's hard to check
for any kind of float exception without losing portability. */
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#include "Python.h"
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#include <ctype.h>
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#ifdef i860
/* Cray APP has bogus definition of HUGE_VAL in <math.h> */
#undef HUGE_VAL
#endif
#if defined(HUGE_VAL) && !defined(CHECK)
#define CHECK(x) if (errno != 0) ; \
else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
else errno = ERANGE
#endif
#ifndef CHECK
#define CHECK(x) /* Don't know how to check */
#endif
#ifdef HAVE_LIMITS_H
#include <limits.h>
#endif
#ifndef LONG_MAX
#if SIZEOF_LONG == 4
#define LONG_MAX 0X7FFFFFFFL
#elif SIZEOF_LONG == 8
#define LONG_MAX 0X7FFFFFFFFFFFFFFFL
#else
#error "could not set LONG_MAX"
#endif
#endif
#ifndef LONG_MIN
#define LONG_MIN (-LONG_MAX-1)
#endif
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#ifdef __NeXT__
#ifdef __sparc__
/*
* This works around a bug in the NS/Sparc 3.3 pre-release
* limits.h header file.
* 10-Feb-1995 bwarsaw@cnri.reston.va.us
*/
#undef LONG_MIN
#define LONG_MIN (-LONG_MAX-1)
#endif
#endif
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#if !defined(__STDC__) && !defined(macintosh)
extern double fmod(double, double);
extern double pow(double, double);
#endif
#ifdef sun
/* On SunOS4.1 only libm.a exists. Make sure that references to all
needed math functions exist in the executable, so that dynamic
loading of mathmodule does not fail. */
double (*_Py_math_funcs_hack[])() = {
acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor,
fmod, log, log10, pow, sin, sinh, sqrt, tan, tanh
};
#endif
/* Special free list -- see comments for same code in intobject.c. */
#define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */
#define BHEAD_SIZE 8 /* Enough for a 64-bit pointer */
#define N_FLOATOBJECTS ((BLOCK_SIZE - BHEAD_SIZE) / sizeof(PyFloatObject))
struct _floatblock {
struct _floatblock *next;
PyFloatObject objects[N_FLOATOBJECTS];
};
typedef struct _floatblock PyFloatBlock;
static PyFloatBlock *block_list = NULL;
static PyFloatObject *free_list = NULL;
static PyFloatObject *
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fill_free_list(void)
{
PyFloatObject *p, *q;
/* XXX Float blocks escape the object heap. Use PyObject_MALLOC ??? */
p = (PyFloatObject *) PyMem_MALLOC(sizeof(PyFloatBlock));
if (p == NULL)
return (PyFloatObject *) PyErr_NoMemory();
((PyFloatBlock *)p)->next = block_list;
block_list = (PyFloatBlock *)p;
p = &((PyFloatBlock *)p)->objects[0];
q = p + N_FLOATOBJECTS;
while (--q > p)
q->ob_type = (struct _typeobject *)(q-1);
q->ob_type = NULL;
return p + N_FLOATOBJECTS - 1;
}
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PyObject *
PyFloat_FromDouble(double fval)
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{
register PyFloatObject *op;
if (free_list == NULL) {
if ((free_list = fill_free_list()) == NULL)
return NULL;
}
/* PyObject_New is inlined */
op = free_list;
free_list = (PyFloatObject *)op->ob_type;
PyObject_INIT(op, &PyFloat_Type);
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op->ob_fval = fval;
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return (PyObject *) op;
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}
PyObject *
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PyFloat_FromString(PyObject *v, char **pend)
{
extern double strtod(const char *, char **);
const char *s, *last, *end;
double x;
char buffer[256]; /* For errors */
char s_buffer[256];
int len;
if (PyString_Check(v)) {
s = PyString_AS_STRING(v);
len = PyString_GET_SIZE(v);
}
Marc-Andre's third try at this bulk patch seems to work (except that his copy of test_contains.py seems to be broken -- the lines he deleted were already absent). Checkin messages: New Unicode support for int(), float(), complex() and long(). - new APIs PyInt_FromUnicode() and PyLong_FromUnicode() - added support for Unicode to PyFloat_FromString() - new encoding API PyUnicode_EncodeDecimal() which converts Unicode to a decimal char* string (used in the above new APIs) - shortcuts for calls like int(<int object>) and float(<float obj>) - tests for all of the above Unicode compares and contains checks: - comparing Unicode and non-string types now works; TypeErrors are masked, all other errors such as ValueError during Unicode coercion are passed through (note that PyUnicode_Compare does not implement the masking -- PyObject_Compare does this) - contains now works for non-string types too; TypeErrors are masked and 0 returned; all other errors are passed through Better testing support for the standard codecs. Misc minor enhancements, such as an alias dbcs for the mbcs codec. Changes: - PyLong_FromString() now applies the same error checks as does PyInt_FromString(): trailing garbage is reported as error and not longer silently ignored. The only characters which may be trailing the digits are 'L' and 'l' -- these are still silently ignored. - string.ato?() now directly interface to int(), long() and float(). The error strings are now a little different, but the type still remains the same. These functions are now ready to get declared obsolete ;-) - PyNumber_Int() now also does a check for embedded NULL chars in the input string; PyNumber_Long() already did this (and still does) Followed by: Looks like I've gone a step too far there... (and test_contains.py seem to have a bug too). I've changed back to reporting all errors in PyUnicode_Contains() and added a few more test cases to test_contains.py (plus corrected the join() NameError).
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else if (PyUnicode_Check(v)) {
if (PyUnicode_GET_SIZE(v) >= sizeof(s_buffer)) {
PyErr_SetString(PyExc_ValueError,
"float() literal too large to convert");
return NULL;
}
if (PyUnicode_EncodeDecimal(PyUnicode_AS_UNICODE(v),
PyUnicode_GET_SIZE(v),
s_buffer,
NULL))
return NULL;
s = s_buffer;
len = (int)strlen(s);
Marc-Andre's third try at this bulk patch seems to work (except that his copy of test_contains.py seems to be broken -- the lines he deleted were already absent). Checkin messages: New Unicode support for int(), float(), complex() and long(). - new APIs PyInt_FromUnicode() and PyLong_FromUnicode() - added support for Unicode to PyFloat_FromString() - new encoding API PyUnicode_EncodeDecimal() which converts Unicode to a decimal char* string (used in the above new APIs) - shortcuts for calls like int(<int object>) and float(<float obj>) - tests for all of the above Unicode compares and contains checks: - comparing Unicode and non-string types now works; TypeErrors are masked, all other errors such as ValueError during Unicode coercion are passed through (note that PyUnicode_Compare does not implement the masking -- PyObject_Compare does this) - contains now works for non-string types too; TypeErrors are masked and 0 returned; all other errors are passed through Better testing support for the standard codecs. Misc minor enhancements, such as an alias dbcs for the mbcs codec. Changes: - PyLong_FromString() now applies the same error checks as does PyInt_FromString(): trailing garbage is reported as error and not longer silently ignored. The only characters which may be trailing the digits are 'L' and 'l' -- these are still silently ignored. - string.ato?() now directly interface to int(), long() and float(). The error strings are now a little different, but the type still remains the same. These functions are now ready to get declared obsolete ;-) - PyNumber_Int() now also does a check for embedded NULL chars in the input string; PyNumber_Long() already did this (and still does) Followed by: Looks like I've gone a step too far there... (and test_contains.py seem to have a bug too). I've changed back to reporting all errors in PyUnicode_Contains() and added a few more test cases to test_contains.py (plus corrected the join() NameError).
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}
else if (PyObject_AsCharBuffer(v, &s, &len)) {
PyErr_SetString(PyExc_TypeError,
"float() needs a string argument");
return NULL;
}
last = s + len;
while (*s && isspace(Py_CHARMASK(*s)))
s++;
if (s[0] == '\0') {
PyErr_SetString(PyExc_ValueError, "empty string for float()");
return NULL;
}
errno = 0;
PyFPE_START_PROTECT("PyFloat_FromString", return 0)
x = strtod((char *)s, (char **)&end);
PyFPE_END_PROTECT(x)
/* Believe it or not, Solaris 2.6 can move end *beyond* the null
byte at the end of the string, when the input is inf(inity) */
if (end > last)
end = last;
while (*end && isspace(Py_CHARMASK(*end)))
end++;
if (*end != '\0') {
sprintf(buffer, "invalid literal for float(): %.200s", s);
PyErr_SetString(PyExc_ValueError, buffer);
return NULL;
}
else if (end != last) {
PyErr_SetString(PyExc_ValueError,
"null byte in argument for float()");
return NULL;
}
else if (errno != 0) {
sprintf(buffer, "float() literal too large: %.200s", s);
PyErr_SetString(PyExc_ValueError, buffer);
return NULL;
}
if (pend)
*pend = (char *)end;
return PyFloat_FromDouble(x);
}
static void
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float_dealloc(PyFloatObject *op)
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{
op->ob_type = (struct _typeobject *)free_list;
free_list = op;
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}
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double
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PyFloat_AsDouble(PyObject *op)
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{
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PyNumberMethods *nb;
PyFloatObject *fo;
double val;
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if (op && PyFloat_Check(op))
return PyFloat_AS_DOUBLE((PyFloatObject*) op);
if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL ||
nb->nb_float == NULL) {
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PyErr_BadArgument();
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return -1;
}
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fo = (PyFloatObject*) (*nb->nb_float) (op);
if (fo == NULL)
return -1;
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if (!PyFloat_Check(fo)) {
PyErr_SetString(PyExc_TypeError,
"nb_float should return float object");
return -1;
}
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val = PyFloat_AS_DOUBLE(fo);
Py_DECREF(fo);
return val;
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}
/* Methods */
void
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PyFloat_AsStringEx(char *buf, PyFloatObject *v, int precision)
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{
register char *cp;
/* Subroutine for float_repr 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. */
sprintf(buf, "%.*g", precision, v->ob_fval);
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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)))
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break;
}
if (*cp == '\0') {
*cp++ = '.';
*cp++ = '0';
*cp++ = '\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
void
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PyFloat_AsString(char *buf, PyFloatObject *v)
{
PyFloat_AsStringEx(buf, v, PREC_STR);
}
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/* ARGSUSED */
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static int
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float_print(PyFloatObject *v, FILE *fp, int flags)
/* flags -- not used but required by interface */
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{
char buf[100];
PyFloat_AsStringEx(buf, v, flags&Py_PRINT_RAW ? PREC_STR : PREC_REPR);
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fputs(buf, fp);
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return 0;
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}
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static PyObject *
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float_repr(PyFloatObject *v)
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{
char buf[100];
PyFloat_AsStringEx(buf, v, PREC_REPR);
return PyString_FromString(buf);
}
static PyObject *
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float_str(PyFloatObject *v)
{
char buf[100];
PyFloat_AsStringEx(buf, v, PREC_STR);
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return PyString_FromString(buf);
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}
static int
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float_compare(PyFloatObject *v, PyFloatObject *w)
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{
double i = v->ob_fval;
double j = w->ob_fval;
return (i < j) ? -1 : (i > j) ? 1 : 0;
}
static long
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float_hash(PyFloatObject *v)
{
return _Py_HashDouble(v->ob_fval);
}
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static PyObject *
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float_add(PyFloatObject *v, PyFloatObject *w)
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{
double result;
PyFPE_START_PROTECT("add", return 0)
result = v->ob_fval + w->ob_fval;
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PyFPE_END_PROTECT(result)
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return PyFloat_FromDouble(result);
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}
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static PyObject *
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float_sub(PyFloatObject *v, PyFloatObject *w)
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{
double result;
PyFPE_START_PROTECT("subtract", return 0)
result = v->ob_fval - w->ob_fval;
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PyFPE_END_PROTECT(result)
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return PyFloat_FromDouble(result);
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}
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static PyObject *
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float_mul(PyFloatObject *v, PyFloatObject *w)
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{
double result;
PyFPE_START_PROTECT("multiply", return 0)
result = v->ob_fval * w->ob_fval;
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PyFPE_END_PROTECT(result)
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return PyFloat_FromDouble(result);
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}
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static PyObject *
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float_div(PyFloatObject *v, PyFloatObject *w)
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{
double result;
if (w->ob_fval == 0) {
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PyErr_SetString(PyExc_ZeroDivisionError, "float division");
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return NULL;
}
PyFPE_START_PROTECT("divide", return 0)
result = v->ob_fval / w->ob_fval;
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PyFPE_END_PROTECT(result)
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return PyFloat_FromDouble(result);
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}
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static PyObject *
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float_rem(PyFloatObject *v, PyFloatObject *w)
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{
double vx, wx;
double mod;
wx = w->ob_fval;
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if (wx == 0.0) {
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PyErr_SetString(PyExc_ZeroDivisionError, "float modulo");
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return NULL;
}
PyFPE_START_PROTECT("modulo", return 0)
vx = v->ob_fval;
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;
}
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PyFPE_END_PROTECT(mod)
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return PyFloat_FromDouble(mod);
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}
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static PyObject *
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float_divmod(PyFloatObject *v, PyFloatObject *w)
{
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double vx, wx;
double div, mod, floordiv;
wx = w->ob_fval;
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if (wx == 0.0) {
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PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()");
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return NULL;
}
PyFPE_START_PROTECT("divmod", return 0)
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vx = v->ob_fval;
mod = fmod(vx, wx);
/* fmod is typically exact, so vx-mod is *mathemtically* 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.
*/
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div = (vx - mod) / wx;
/* note: checking mod*wx < 0 is incorrect -- underflows to
0 if wx < sqrt(smallest nonzero double) */
if (mod && ((wx < 0) != (mod < 0))) {
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mod += wx;
div -= 1.0;
}
/* snap quotient to nearest integral value */
floordiv = floor(div);
if (div - floordiv > 0.5)
floordiv += 1.0;
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PyFPE_END_PROTECT(div)
return Py_BuildValue("(dd)", floordiv, mod);
}
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static double powu(double x, long n)
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{
double r = 1.;
double p = x;
long mask = 1;
while (mask > 0 && n >= mask) {
if (n & mask)
r *= p;
mask <<= 1;
p *= p;
}
return r;
}
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static PyObject *
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float_pow(PyFloatObject *v, PyObject *w, PyFloatObject *z)
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{
double iv, iw, ix;
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long intw;
/* XXX Doesn't handle overflows if z!=None yet; it may never do so :(
* The z parameter is really only going to be useful for integers and
* long integers. Maybe something clever with logarithms could be done.
* [AMK]
*/
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iv = v->ob_fval;
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iw = ((PyFloatObject *)w)->ob_fval;
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intw = (long)iw;
if (iw == intw && -10000 < intw && intw < 10000) {
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/* Sort out special cases here instead of relying on pow() */
if (intw == 0) { /* x**0 is 1, even 0**0 */
PyFPE_START_PROTECT("pow", return 0)
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if ((PyObject *)z!=Py_None) {
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ix=fmod(1.0, z->ob_fval);
if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval;
}
else ix=1.0;
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PyFPE_END_PROTECT(ix)
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return PyFloat_FromDouble(ix);
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}
errno = 0;
PyFPE_START_PROTECT("pow", return 0)
if (intw > 0)
ix = powu(iv, intw);
else
ix = 1./powu(iv, -intw);
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PyFPE_END_PROTECT(ix)
}
else {
/* Sort out special cases here instead of relying on pow() */
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if (iv == 0.0) {
if (iw < 0.0) {
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PyErr_SetString(PyExc_ValueError,
"0.0 to a negative power");
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return NULL;
}
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return PyFloat_FromDouble(0.0);
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}
if (iv < 0.0) {
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PyErr_SetString(PyExc_ValueError,
"negative number to a float power");
return NULL;
}
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errno = 0;
PyFPE_START_PROTECT("pow", return 0)
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ix = pow(iv, iw);
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PyFPE_END_PROTECT(ix)
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}
CHECK(ix);
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if (errno != 0) {
/* XXX could it be another type of error? */
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PyErr_SetFromErrno(PyExc_OverflowError);
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return NULL;
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}
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if ((PyObject *)z!=Py_None) {
PyFPE_START_PROTECT("pow", return 0)
ix=fmod(ix, z->ob_fval); /* XXX To Be Rewritten */
if ( ix!=0 &&
((iv<0 && z->ob_fval>0) || (iv>0 && z->ob_fval<0) )) {
ix+=z->ob_fval;
}
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PyFPE_END_PROTECT(ix)
}
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return PyFloat_FromDouble(ix);
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}
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static PyObject *
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float_neg(PyFloatObject *v)
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{
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return PyFloat_FromDouble(-v->ob_fval);
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}
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static PyObject *
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float_pos(PyFloatObject *v)
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{
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Py_INCREF(v);
return (PyObject *)v;
}
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static PyObject *
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float_abs(PyFloatObject *v)
{
if (v->ob_fval < 0)
return float_neg(v);
else
return float_pos(v);
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}
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static int
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float_nonzero(PyFloatObject *v)
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{
return v->ob_fval != 0.0;
}
static int
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float_coerce(PyObject **pv, PyObject **pw)
{
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if (PyInt_Check(*pw)) {
long x = PyInt_AsLong(*pw);
*pw = PyFloat_FromDouble((double)x);
Py_INCREF(*pv);
return 0;
}
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else if (PyLong_Check(*pw)) {
*pw = PyFloat_FromDouble(PyLong_AsDouble(*pw));
Py_INCREF(*pv);
return 0;
}
return 1; /* Can't do it */
}
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static PyObject *
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float_int(PyObject *v)
{
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double x = PyFloat_AsDouble(v);
if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN
: (x = floor(x)) > (double)LONG_MAX) {
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PyErr_SetString(PyExc_OverflowError,
"float too large to convert");
return NULL;
}
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return PyInt_FromLong((long)x);
}
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static PyObject *
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float_long(PyObject *v)
{
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double x = PyFloat_AsDouble(v);
return PyLong_FromDouble(x);
}
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static PyObject *
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float_float(PyObject *v)
{
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Py_INCREF(v);
return v;
}
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static PyNumberMethods float_as_number = {
(binaryfunc)float_add, /*nb_add*/
(binaryfunc)float_sub, /*nb_subtract*/
(binaryfunc)float_mul, /*nb_multiply*/
(binaryfunc)float_div, /*nb_divide*/
(binaryfunc)float_rem, /*nb_remainder*/
(binaryfunc)float_divmod, /*nb_divmod*/
(ternaryfunc)float_pow, /*nb_power*/
(unaryfunc)float_neg, /*nb_negative*/
(unaryfunc)float_pos, /*nb_positive*/
(unaryfunc)float_abs, /*nb_absolute*/
(inquiry)float_nonzero, /*nb_nonzero*/
0, /*nb_invert*/
0, /*nb_lshift*/
0, /*nb_rshift*/
0, /*nb_and*/
0, /*nb_xor*/
0, /*nb_or*/
(coercion)float_coerce, /*nb_coerce*/
(unaryfunc)float_int, /*nb_int*/
(unaryfunc)float_long, /*nb_long*/
(unaryfunc)float_float, /*nb_float*/
0, /*nb_oct*/
0, /*nb_hex*/
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};
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PyTypeObject PyFloat_Type = {
PyObject_HEAD_INIT(&PyType_Type)
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0,
"float",
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sizeof(PyFloatObject),
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0,
(destructor)float_dealloc, /*tp_dealloc*/
(printfunc)float_print, /*tp_print*/
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0, /*tp_getattr*/
0, /*tp_setattr*/
(cmpfunc)float_compare, /*tp_compare*/
(reprfunc)float_repr, /*tp_repr*/
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&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*/
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};
void
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PyFloat_Fini(void)
{
PyFloatObject *p;
PyFloatBlock *list, *next;
int 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_Check(p) && p->ob_refcnt != 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_Check(p) || p->ob_refcnt == 0) {
p->ob_type = (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_Check(p) && p->ob_refcnt != 0) {
char buf[100];
PyFloat_AsString(buf, p);
fprintf(stderr,
"# <float at %p, refcnt=%d, val=%s>\n",
p, p->ob_refcnt, buf);
}
}
list = list->next;
}
}
}