cpython/Objects/floatobject.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 "allobjects.h"
#include "modsupport.h"

#include <errno.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 PROTO((double, double));
extern double pow PROTO((double, double));
#endif

object *
#ifdef __SC__
newfloatobject(double fval)
#else
newfloatobject(fval)
	double fval;
#endif
{
	/* For efficiency, this code is copied from newobject() */
	register floatobject *op = (floatobject *) malloc(sizeof(floatobject));
	if (op == NULL)
		return err_nomem();
	op->ob_type = &Floattype;
	op->ob_fval = fval;
	NEWREF(op);
	return (object *) op;
}

static void
float_dealloc(op)
	object *op;
{
	DEL(op);
}

double
getfloatvalue(op)
	object *op;
{
	number_methods *nb;
	floatobject *fo;
	double val;
	
	if (op && is_floatobject(op))
		return GETFLOATVALUE((floatobject*) op);
	
	if (op == NULL || (nb = op->ob_type->tp_as_number) == NULL ||
	    nb->nb_float == NULL) {
		err_badarg();
		return -1;
	}
	
	fo = (floatobject*) (*nb->nb_float) (op);
	if (fo == NULL)
		return -1;
	if (!is_floatobject(fo)) {
		err_setstr(TypeError, "nb_float should return float object");
		return -1;
	}
	
	val = GETFLOATVALUE(fo);
	DECREF(fo);
	
	return val;
}

/* Methods */

void
float_buf_repr(buf, v)
	char *buf;
	floatobject *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)
	floatobject *v;
	FILE *fp;
	int flags; /* Not used but required by interface */
{
	char buf[100];
	float_buf_repr(buf, v);
	fputs(buf, fp);
	return 0;
}

static object *
float_repr(v)
	floatobject *v;
{
	char buf[100];
	float_buf_repr(buf, v);
	return newstringobject(buf);
}

static int
float_compare(v, w)
	floatobject *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)
	floatobject *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... */
			object *w = dnewlongobject(v->ob_fval);
			if (w == NULL)
				return -1;
			x = hashobject(w);
			DECREF(w);
			return x;
		}
		x = (long)intpart;
	}
	else {
		fractpart = frexp(fractpart, &expo);
		fractpart = fractpart*2147483648.0; /* 2**31 */
		x = (long) (intpart + fractpart) ^ expo; /* Rather arbitrary */
	}
	if (x == -1)
		x = -2;
	return x;
}

static object *
float_add(v, w)
	floatobject *v;
	floatobject *w;
{
	return newfloatobject(v->ob_fval + w->ob_fval);
}

static object *
float_sub(v, w)
	floatobject *v;
	floatobject *w;
{
	return newfloatobject(v->ob_fval - w->ob_fval);
}

static object *
float_mul(v, w)
	floatobject *v;
	floatobject *w;
{
	return newfloatobject(v->ob_fval * w->ob_fval);
}

static object *
float_div(v, w)
	floatobject *v;
	floatobject *w;
{
	if (w->ob_fval == 0) {
		err_setstr(ZeroDivisionError, "float division");
		return NULL;
	}
	return newfloatobject(v->ob_fval / w->ob_fval);
}

static object *
float_rem(v, w)
	floatobject *v;
	floatobject *w;
{
	double vx, wx;
	double /* div, */ mod;
	wx = w->ob_fval;
	if (wx == 0.0) {
		err_setstr(ZeroDivisionError, "float modulo");
		return NULL;
	}
	vx = v->ob_fval;
	mod = fmod(vx, wx);
	/* div = (vx - mod) / wx; */
	if (wx*mod < 0) {
		mod += wx;
		/* div -= 1.0; */
	}
	return newfloatobject(mod);
}

static object *
float_divmod(v, w)
	floatobject *v;
	floatobject *w;
{
	double vx, wx;
	double div, mod;
	wx = w->ob_fval;
	if (wx == 0.0) {
		err_setstr(ZeroDivisionError, "float divmod()");
		return NULL;
	}
	vx = v->ob_fval;
	mod = fmod(vx, wx);
	div = (vx - mod) / wx;
	if (wx*mod < 0) {
		mod += wx;
		div -= 1.0;
	}
	return mkvalue("(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 object *
float_pow(v, w, z)
	floatobject *v;
	object *w;
	floatobject *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 = ((floatobject *)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 */
		 	if ((object *)z!=None) {
			 	ix=fmod(1.0, z->ob_fval);
			 	if (ix!=0 && z->ob_fval<0) ix+=z->ob_fval;
			}
		 	else ix=1.0;
	    		return newfloatobject(ix); 
		}
		errno = 0;
		if (intw > 0)
			ix = powu(iv, intw);
		else
			ix = 1./powu(iv, -intw);
	}
	else {
		/* Sort out special cases here instead of relying on pow() */
		if (iv == 0.0) {
			if (iw < 0.0) {
				err_setstr(ValueError,
					   "0.0 to a negative power");
				return NULL;
			}
			return newfloatobject(0.0);
		}
		if (iv < 0.0) {
			err_setstr(ValueError,
				   "negative number to a float power");
			return NULL;
		}
		errno = 0;
		ix = pow(iv, iw);
	}
	CHECK(ix);
	if (errno != 0) {
		/* XXX could it be another type of error? */
		err_errno(OverflowError);
		return NULL;
	}
 	if ((object *)z!=None) {
	 	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;
		    }
	}
	return newfloatobject(ix);
}

static object *
float_neg(v)
	floatobject *v;
{
	return newfloatobject(-v->ob_fval);
}

static object *
float_pos(v)
	floatobject *v;
{
	INCREF(v);
	return (object *)v;
}

static object *
float_abs(v)
	floatobject *v;
{
	if (v->ob_fval < 0)
		return float_neg(v);
	else
		return float_pos(v);
}

static int
float_nonzero(v)
	floatobject *v;
{
	return v->ob_fval != 0.0;
}

static int
float_coerce(pv, pw)
	object **pv;
	object **pw;
{
	if (is_intobject(*pw)) {
		long x = getintvalue(*pw);
		*pw = newfloatobject((double)x);
		INCREF(*pv);
		return 0;
	}
	else if (is_longobject(*pw)) {
		*pw = newfloatobject(dgetlongvalue(*pw));
		INCREF(*pv);
		return 0;
	}
	return 1; /* Can't do it */
}

static object *
float_int(v)
	object *v;
{
	double x = getfloatvalue(v);
	if (x < 0 ? (x = ceil(x)) < (double)LONG_MIN
	          : (x = floor(x)) > (double)LONG_MAX) {
		err_setstr(OverflowError, "float too large to convert");
		return NULL;
	}
	return newintobject((long)x);
}

static object *
float_long(v)
	object *v;
{
	double x = getfloatvalue(v);
	return dnewlongobject(x);
}

static object *
float_float(v)
	object *v;
{
	INCREF(v);
	return v;
}


static number_methods 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*/
};

typeobject Floattype = {
	OB_HEAD_INIT(&Typetype)
	0,
	"float",
	sizeof(floatobject),
	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*/
};