mirror of https://github.com/python/cpython
593 lines
13 KiB
C
593 lines
13 KiB
C
/***********************************************************
|
|
Copyright 1991-1995 by Stichting Mathematisch Centrum, Amsterdam,
|
|
The Netherlands.
|
|
|
|
All Rights Reserved
|
|
|
|
Permission to use, copy, modify, and distribute this software and its
|
|
documentation for any purpose and without fee is hereby granted,
|
|
provided that the above copyright notice appear in all copies and that
|
|
both that copyright notice and this permission notice appear in
|
|
supporting documentation, and that the names of Stichting Mathematisch
|
|
Centrum or CWI or Corporation for National Research Initiatives or
|
|
CNRI not be used in advertising or publicity pertaining to
|
|
distribution of the software without specific, written prior
|
|
permission.
|
|
|
|
While CWI is the initial source for this software, a modified version
|
|
is made available by the Corporation for National Research Initiatives
|
|
(CNRI) at the Internet address ftp://ftp.python.org.
|
|
|
|
STICHTING MATHEMATISCH CENTRUM AND CNRI DISCLAIM ALL WARRANTIES WITH
|
|
REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF
|
|
MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH
|
|
CENTRUM OR CNRI BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
|
|
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
|
|
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
|
|
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
|
|
PERFORMANCE OF THIS SOFTWARE.
|
|
|
|
******************************************************************/
|
|
|
|
/* Float object implementation */
|
|
|
|
/* XXX There should be overflow checks here, but it's hard to check
|
|
for any kind of float exception without losing portability. */
|
|
|
|
#include "Python.h"
|
|
|
|
#include <ctype.h>
|
|
#include "mymath.h"
|
|
|
|
#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
|
|
#define LONG_MAX 0X7FFFFFFFL
|
|
#endif
|
|
|
|
#ifndef LONG_MIN
|
|
#define LONG_MIN (-LONG_MAX-1)
|
|
#endif
|
|
|
|
#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
|
|
|
|
#if !defined(__STDC__) && !defined(macintosh)
|
|
extern double fmod Py_PROTO((double, double));
|
|
extern double pow Py_PROTO((double, double));
|
|
#endif
|
|
|
|
/* Special free list -- see comments for same code in intobject.c. */
|
|
static PyFloatObject *free_list = NULL;
|
|
#define BLOCK_SIZE 1000 /* 1K less typical malloc overhead */
|
|
#define N_FLOATOBJECTS (BLOCK_SIZE / sizeof(PyFloatObject))
|
|
|
|
static PyFloatObject *
|
|
fill_free_list()
|
|
{
|
|
PyFloatObject *p, *q;
|
|
p = PyMem_NEW(PyFloatObject, N_FLOATOBJECTS);
|
|
if (p == NULL)
|
|
return (PyFloatObject *)PyErr_NoMemory();
|
|
q = p + N_FLOATOBJECTS;
|
|
while (--q > p)
|
|
*(PyFloatObject **)q = q-1;
|
|
*(PyFloatObject **)q = NULL;
|
|
return p + N_FLOATOBJECTS - 1;
|
|
}
|
|
|
|
PyObject *
|
|
#ifdef __SC__
|
|
PyFloat_FromDouble(double fval)
|
|
#else
|
|
PyFloat_FromDouble(fval)
|
|
double fval;
|
|
#endif
|
|
{
|
|
register PyFloatObject *op;
|
|
if (free_list == NULL) {
|
|
if ((free_list = fill_free_list()) == NULL)
|
|
return NULL;
|
|
}
|
|
op = free_list;
|
|
free_list = *(PyFloatObject **)free_list;
|
|
op->ob_type = &PyFloat_Type;
|
|
op->ob_fval = fval;
|
|
_Py_NewReference(op);
|
|
return (PyObject *) op;
|
|
}
|
|
|
|
static void
|
|
float_dealloc(op)
|
|
PyFloatObject *op;
|
|
{
|
|
*(PyFloatObject **)op = free_list;
|
|
free_list = op;
|
|
}
|
|
|
|
double
|
|
PyFloat_AsDouble(op)
|
|
PyObject *op;
|
|
{
|
|
PyNumberMethods *nb;
|
|
PyFloatObject *fo;
|
|
double val;
|
|
|
|
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) {
|
|
PyErr_BadArgument();
|
|
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 */
|
|
|
|
void
|
|
PyFloat_AsString(buf, v)
|
|
char *buf;
|
|
PyFloatObject *v;
|
|
{
|
|
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, "%.12g", v->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';
|
|
}
|
|
}
|
|
|
|
/* ARGSUSED */
|
|
static int
|
|
float_print(v, fp, flags)
|
|
PyFloatObject *v;
|
|
FILE *fp;
|
|
int flags; /* Not used but required by interface */
|
|
{
|
|
char buf[100];
|
|
PyFloat_AsString(buf, v);
|
|
fputs(buf, fp);
|
|
return 0;
|
|
}
|
|
|
|
static PyObject *
|
|
float_repr(v)
|
|
PyFloatObject *v;
|
|
{
|
|
char buf[100];
|
|
PyFloat_AsString(buf, v);
|
|
return PyString_FromString(buf);
|
|
}
|
|
|
|
static int
|
|
float_compare(v, w)
|
|
PyFloatObject *v, *w;
|
|
{
|
|
double i = v->ob_fval;
|
|
double j = w->ob_fval;
|
|
return (i < j) ? -1 : (i > j) ? 1 : 0;
|
|
}
|
|
|
|
static long
|
|
float_hash(v)
|
|
PyFloatObject *v;
|
|
{
|
|
double intpart, fractpart;
|
|
int expo;
|
|
long x;
|
|
/* This is designed so that Python numbers with the same
|
|
value hash to the same value, otherwise comparisons
|
|
of mapping keys will turn out weird */
|
|
|
|
#ifdef MPW /* MPW C modf expects pointer to extended as second argument */
|
|
{
|
|
extended e;
|
|
fractpart = modf(v->ob_fval, &e);
|
|
intpart = e;
|
|
}
|
|
#else
|
|
fractpart = modf(v->ob_fval, &intpart);
|
|
#endif
|
|
|
|
if (fractpart == 0.0) {
|
|
if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) {
|
|
/* Convert to long int and use its hash... */
|
|
PyObject *w = PyLong_FromDouble(v->ob_fval);
|
|
if (w == NULL)
|
|
return -1;
|
|
x = PyObject_Hash(w);
|
|
Py_DECREF(w);
|
|
return x;
|
|
}
|
|
x = (long)intpart;
|
|
}
|
|
else {
|
|
/* Note -- if you change this code, also change the copy
|
|
in complexobject.c */
|
|
long hipart;
|
|
fractpart = frexp(fractpart, &expo);
|
|
fractpart = fractpart * 2147483648.0; /* 2**31 */
|
|
hipart = (long)fractpart; /* Take the top 32 bits */
|
|
fractpart = (fractpart - (double)hipart) * 2147483648.0;
|
|
/* Get the next 32 bits */
|
|
x = hipart + (long)fractpart + (long)intpart + (expo << 15);
|
|
/* Combine everything */
|
|
}
|
|
if (x == -1)
|
|
x = -2;
|
|
return x;
|
|
}
|
|
|
|
static PyObject *
|
|
float_add(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double result;
|
|
PyFPE_START_PROTECT("add", return 0)
|
|
result = v->ob_fval + w->ob_fval;
|
|
PyFPE_END_PROTECT(result)
|
|
return PyFloat_FromDouble(result);
|
|
}
|
|
|
|
static PyObject *
|
|
float_sub(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double result;
|
|
PyFPE_START_PROTECT("subtract", return 0)
|
|
result = v->ob_fval - w->ob_fval;
|
|
PyFPE_END_PROTECT(result)
|
|
return PyFloat_FromDouble(result);
|
|
}
|
|
|
|
static PyObject *
|
|
float_mul(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double result;
|
|
|
|
PyFPE_START_PROTECT("multiply", return 0)
|
|
result = v->ob_fval * w->ob_fval;
|
|
PyFPE_END_PROTECT(result)
|
|
return PyFloat_FromDouble(result);
|
|
}
|
|
|
|
static PyObject *
|
|
float_div(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double result;
|
|
if (w->ob_fval == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float division");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("divide", return 0)
|
|
result = v->ob_fval / w->ob_fval;
|
|
PyFPE_END_PROTECT(result)
|
|
return PyFloat_FromDouble(result);
|
|
}
|
|
|
|
static PyObject *
|
|
float_rem(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double vx, wx;
|
|
double /* div, */ mod;
|
|
wx = w->ob_fval;
|
|
if (wx == 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float modulo");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("modulo", return 0)
|
|
vx = v->ob_fval;
|
|
mod = fmod(vx, wx);
|
|
/* div = (vx - mod) / wx; */
|
|
if (wx*mod < 0) {
|
|
mod += wx;
|
|
/* div -= 1.0; */
|
|
}
|
|
PyFPE_END_PROTECT(mod)
|
|
return PyFloat_FromDouble(mod);
|
|
}
|
|
|
|
static PyObject *
|
|
float_divmod(v, w)
|
|
PyFloatObject *v;
|
|
PyFloatObject *w;
|
|
{
|
|
double vx, wx;
|
|
double div, mod;
|
|
wx = w->ob_fval;
|
|
if (wx == 0.0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "float divmod()");
|
|
return NULL;
|
|
}
|
|
PyFPE_START_PROTECT("divmod", return 0)
|
|
vx = v->ob_fval;
|
|
mod = fmod(vx, wx);
|
|
div = (vx - mod) / wx;
|
|
if (wx*mod < 0) {
|
|
mod += wx;
|
|
div -= 1.0;
|
|
}
|
|
PyFPE_END_PROTECT(div)
|
|
return Py_BuildValue("(dd)", div, mod);
|
|
}
|
|
|
|
static double powu(x, n)
|
|
double x;
|
|
long n;
|
|
{
|
|
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;
|
|
}
|
|
|
|
static PyObject *
|
|
float_pow(v, w, z)
|
|
PyFloatObject *v;
|
|
PyObject *w;
|
|
PyFloatObject *z;
|
|
{
|
|
double iv, iw, ix;
|
|
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]
|
|
*/
|
|
iv = v->ob_fval;
|
|
iw = ((PyFloatObject *)w)->ob_fval;
|
|
intw = (long)iw;
|
|
if (iw == intw && -10000 < intw && intw < 10000) {
|
|
/* 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)
|
|
if ((PyObject *)z!=Py_None) {
|
|
ix=fmod(1.0, z->ob_fval);
|
|
if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval;
|
|
}
|
|
else ix=1.0;
|
|
PyFPE_END_PROTECT(ix)
|
|
return PyFloat_FromDouble(ix);
|
|
}
|
|
errno = 0;
|
|
PyFPE_START_PROTECT("pow", return 0)
|
|
if (intw > 0)
|
|
ix = powu(iv, intw);
|
|
else
|
|
ix = 1./powu(iv, -intw);
|
|
PyFPE_END_PROTECT(ix)
|
|
}
|
|
else {
|
|
/* Sort out special cases here instead of relying on pow() */
|
|
if (iv == 0.0) {
|
|
if (iw < 0.0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"0.0 to a negative power");
|
|
return NULL;
|
|
}
|
|
return PyFloat_FromDouble(0.0);
|
|
}
|
|
if (iv < 0.0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"negative number to a float power");
|
|
return NULL;
|
|
}
|
|
errno = 0;
|
|
PyFPE_START_PROTECT("pow", return 0)
|
|
ix = pow(iv, iw);
|
|
PyFPE_END_PROTECT(ix)
|
|
}
|
|
CHECK(ix);
|
|
if (errno != 0) {
|
|
/* XXX could it be another type of error? */
|
|
PyErr_SetFromErrno(PyExc_OverflowError);
|
|
return NULL;
|
|
}
|
|
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;
|
|
}
|
|
PyFPE_END_PROTECT(ix)
|
|
}
|
|
return PyFloat_FromDouble(ix);
|
|
}
|
|
|
|
static PyObject *
|
|
float_neg(v)
|
|
PyFloatObject *v;
|
|
{
|
|
return PyFloat_FromDouble(-v->ob_fval);
|
|
}
|
|
|
|
static PyObject *
|
|
float_pos(v)
|
|
PyFloatObject *v;
|
|
{
|
|
Py_INCREF(v);
|
|
return (PyObject *)v;
|
|
}
|
|
|
|
static PyObject *
|
|
float_abs(v)
|
|
PyFloatObject *v;
|
|
{
|
|
if (v->ob_fval < 0)
|
|
return float_neg(v);
|
|
else
|
|
return float_pos(v);
|
|
}
|
|
|
|
static int
|
|
float_nonzero(v)
|
|
PyFloatObject *v;
|
|
{
|
|
return v->ob_fval != 0.0;
|
|
}
|
|
|
|
static int
|
|
float_coerce(pv, pw)
|
|
PyObject **pv;
|
|
PyObject **pw;
|
|
{
|
|
if (PyInt_Check(*pw)) {
|
|
long x = PyInt_AsLong(*pw);
|
|
*pw = PyFloat_FromDouble((double)x);
|
|
Py_INCREF(*pv);
|
|
return 0;
|
|
}
|
|
else if (PyLong_Check(*pw)) {
|
|
*pw = PyFloat_FromDouble(PyLong_AsDouble(*pw));
|
|
Py_INCREF(*pv);
|
|
return 0;
|
|
}
|
|
return 1; /* Can't do it */
|
|
}
|
|
|
|
static PyObject *
|
|
float_int(v)
|
|
PyObject *v;
|
|
{
|
|
double x = PyFloat_AsDouble(v);
|
|
if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN
|
|
: (x = floor(x)) > (double)LONG_MAX) {
|
|
PyErr_SetString(PyExc_OverflowError,
|
|
"float too large to convert");
|
|
return NULL;
|
|
}
|
|
return PyInt_FromLong((long)x);
|
|
}
|
|
|
|
static PyObject *
|
|
float_long(v)
|
|
PyObject *v;
|
|
{
|
|
double x = PyFloat_AsDouble(v);
|
|
return PyLong_FromDouble(x);
|
|
}
|
|
|
|
static PyObject *
|
|
float_float(v)
|
|
PyObject *v;
|
|
{
|
|
Py_INCREF(v);
|
|
return v;
|
|
}
|
|
|
|
|
|
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*/
|
|
};
|
|
|
|
PyTypeObject PyFloat_Type = {
|
|
PyObject_HEAD_INIT(&PyType_Type)
|
|
0,
|
|
"float",
|
|
sizeof(PyFloatObject),
|
|
0,
|
|
(destructor)float_dealloc, /*tp_dealloc*/
|
|
(printfunc)float_print, /*tp_print*/
|
|
0, /*tp_getattr*/
|
|
0, /*tp_setattr*/
|
|
(cmpfunc)float_compare, /*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*/
|
|
};
|