2001-03-12 01:04:52 +01:00
|
|
|
|
|
|
|
|
/*
|
|
|
|
|
* IBM Accurate Mathematical Library
|
2002-08-20 23:51:55 +02:00
|
|
|
* Written by International Business Machines Corp.
|
|
|
|
|
* Copyright (C) 2001 Free Software Foundation, Inc.
|
2001-03-12 01:04:52 +01:00
|
|
|
*
|
|
|
|
|
* This program is free software; you can redistribute it and/or modify
|
|
|
|
|
* it under the terms of the GNU Lesser General Public License as published by
|
2001-03-12 08:57:09 +01:00
|
|
|
* the Free Software Foundation; either version 2 of the License, or
|
2001-03-12 01:04:52 +01:00
|
|
|
* (at your option) any later version.
|
2001-03-12 08:57:09 +01:00
|
|
|
*
|
2001-03-12 01:04:52 +01:00
|
|
|
* This program is distributed in the hope that it will be useful,
|
|
|
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
|
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
2002-08-20 23:51:55 +02:00
|
|
|
* GNU Lesser General Public License for more details.
|
2001-03-12 01:04:52 +01:00
|
|
|
*
|
|
|
|
|
* You should have received a copy of the GNU Lesser General Public License
|
|
|
|
|
* along with this program; if not, write to the Free Software
|
2001-03-12 08:57:09 +01:00
|
|
|
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
|
2001-03-12 01:04:52 +01:00
|
|
|
*/
|
2002-08-20 23:51:55 +02:00
|
|
|
|
2001-03-12 01:04:52 +01:00
|
|
|
/************************************************************************/
|
|
|
|
|
/* MODULE_NAME: mpa.h */
|
|
|
|
|
/* */
|
|
|
|
|
/* FUNCTIONS: */
|
|
|
|
|
/* mcr */
|
|
|
|
|
/* acr */
|
|
|
|
|
/* cr */
|
|
|
|
|
/* cpy */
|
|
|
|
|
/* cpymn */
|
|
|
|
|
/* mp_dbl */
|
|
|
|
|
/* dbl_mp */
|
|
|
|
|
/* add */
|
|
|
|
|
/* sub */
|
|
|
|
|
/* mul */
|
|
|
|
|
/* inv */
|
|
|
|
|
/* dvd */
|
|
|
|
|
/* */
|
|
|
|
|
/* Arithmetic functions for multiple precision numbers. */
|
|
|
|
|
/* Common types and definition */
|
|
|
|
|
/************************************************************************/
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
typedef struct {/* This structure holds the details of a multi-precision */
|
|
|
|
|
int e; /* floating point number, x: d[0] holds its sign (-1,0 or 1) */
|
|
|
|
|
double d[40]; /* e holds its exponent (...,-2,-1,0,1,2,...) and */
|
|
|
|
|
} mp_no; /* d[1]...d[p] hold its mantissa digits. The value of x is, */
|
|
|
|
|
/* x = d[1]*r**(e-1) + d[2]*r**(e-2) + ... + d[p]*r**(e-p). */
|
|
|
|
|
/* Here r = 2**24, 0 <= d[i] < r and 1 <= p <= 32. */
|
|
|
|
|
/* p is a global variable. A multi-precision number is */
|
|
|
|
|
/* always normalized. Namely, d[1] > 0. An exception is */
|
|
|
|
|
/* a zero which is characterized by d[0] = 0. The terms */
|
|
|
|
|
/* d[p+1], d[p+2], ... of a none zero number have no */
|
|
|
|
|
/* significance and so are the terms e, d[1],d[2],... */
|
|
|
|
|
/* of a zero. */
|
|
|
|
|
|
|
|
|
|
typedef union { int i[2]; double d; } number;
|
|
|
|
|
|
|
|
|
|
#define X x->d
|
|
|
|
|
#define Y y->d
|
|
|
|
|
#define Z z->d
|
|
|
|
|
#define EX x->e
|
|
|
|
|
#define EY y->e
|
|
|
|
|
#define EZ z->e
|
|
|
|
|
|
|
|
|
|
#define MAX(x,y) ((x) < (y) ? (y) : (x))
|
|
|
|
|
#define MIN(x,y) ((x) < (y) ? (x) : (y))
|
|
|
|
|
#define ABS(x) ((x) < 0 ? -(x) : (x))
|
|
|
|
|
|
2001-03-13 03:01:34 +01:00
|
|
|
int __acr(const mp_no *, const mp_no *, int);
|
|
|
|
|
int __cr(const mp_no *, const mp_no *, int);
|
|
|
|
|
void __cpy(const mp_no *, mp_no *, int);
|
|
|
|
|
void __cpymn(const mp_no *, int, mp_no *, int);
|
2001-03-12 08:57:09 +01:00
|
|
|
void __mp_dbl(const mp_no *, double *, int);
|
2001-03-13 03:01:34 +01:00
|
|
|
void __dbl_mp(double, mp_no *, int);
|
|
|
|
|
void __add(const mp_no *, const mp_no *, mp_no *, int);
|
|
|
|
|
void __sub(const mp_no *, const mp_no *, mp_no *, int);
|
|
|
|
|
void __mul(const mp_no *, const mp_no *, mp_no *, int);
|
|
|
|
|
void __inv(const mp_no *, mp_no *, int);
|
|
|
|
|
void __dvd(const mp_no *, const mp_no *, mp_no *, int);
|
2001-10-29 18:24:29 +01:00
|
|
|
|
|
|
|
|
extern void __mpatan (mp_no *, mp_no *, int);
|
|
|
|
|
extern void __mpatan2 (mp_no *, mp_no *, mp_no *, int);
|
|
|
|
|
extern void __mpsqrt (mp_no *, mp_no *, int);
|
|
|
|
|
extern void __mpexp (mp_no *, mp_no *__y, int);
|
|
|
|
|
extern void __c32 (mp_no *, mp_no *, mp_no *, int);
|
|
|
|
|
extern int __mpranred (double, mp_no *, int);
|
