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155 lines
5.1 KiB
C
155 lines
5.1 KiB
C
/*
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* IBM Accurate Mathematical Library
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* Written by International Business Machines Corp.
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* Copyright (C) 2001-2015 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation; either version 2.1 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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/************************************************************************/
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/* MODULE_NAME: mpa.h */
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/* */
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/* FUNCTIONS: */
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/* mcr */
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/* acr */
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/* cpy */
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/* mp_dbl */
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/* dbl_mp */
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/* add */
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/* sub */
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/* mul */
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/* dvd */
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/* */
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/* Arithmetic functions for multiple precision numbers. */
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/* Common types and definition */
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/************************************************************************/
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#include <mpa-arch.h>
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/* The mp_no structure holds the details of a multi-precision floating point
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number.
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- The radix of the number (R) is 2 ^ 24.
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- E: The exponent of the number.
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- D[0]: The sign (-1, 1) or 0 if the value is 0. In the latter case, the
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values of the remaining members of the structure are ignored.
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- D[1] - D[p]: The mantissa of the number where:
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0 <= D[i] < R and
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P is the precision of the number and 1 <= p <= 32
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D[p+1] ... D[39] have no significance.
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- The value of the number is:
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D[1] * R ^ (E - 1) + D[2] * R ^ (E - 2) ... D[p] * R ^ (E - p)
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*/
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typedef struct
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{
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int e;
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mantissa_t d[40];
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} mp_no;
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typedef union
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{
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int i[2];
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double d;
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} number;
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extern const mp_no __mpone;
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extern const mp_no __mptwo;
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#define X x->d
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#define Y y->d
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#define Z z->d
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#define EX x->e
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#define EY y->e
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#define EZ z->e
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#ifndef RADIXI
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# define RADIXI 0x1.0p-24 /* 2^-24 */
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#endif
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#ifndef TWO52
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# define TWO52 0x1.0p52 /* 2^52 */
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#endif
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#define TWO5 TWOPOW (5) /* 2^5 */
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#define TWO8 TWOPOW (8) /* 2^52 */
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#define TWO10 TWOPOW (10) /* 2^10 */
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#define TWO18 TWOPOW (18) /* 2^18 */
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#define TWO19 TWOPOW (19) /* 2^19 */
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#define TWO23 TWOPOW (23) /* 2^23 */
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#define HALFRAD TWO23
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#define TWO57 0x1.0p57 /* 2^57 */
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#define TWO71 0x1.0p71 /* 2^71 */
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#define TWOM1032 0x1.0p-1032 /* 2^-1032 */
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#define TWOM1022 0x1.0p-1022 /* 2^-1022 */
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#define HALF 0x1.0p-1 /* 1/2 */
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#define MHALF -0x1.0p-1 /* -1/2 */
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int __acr (const mp_no *, const mp_no *, int);
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void __cpy (const mp_no *, mp_no *, int);
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void __mp_dbl (const mp_no *, double *, int);
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void __dbl_mp (double, mp_no *, int);
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void __add (const mp_no *, const mp_no *, mp_no *, int);
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void __sub (const mp_no *, const mp_no *, mp_no *, int);
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void __mul (const mp_no *, const mp_no *, mp_no *, int);
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void __sqr (const mp_no *, mp_no *, int);
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void __dvd (const mp_no *, const mp_no *, mp_no *, int);
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extern void __mpatan (mp_no *, mp_no *, int);
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extern void __mpatan2 (mp_no *, mp_no *, mp_no *, int);
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extern void __mpsqrt (mp_no *, mp_no *, int);
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extern void __mpexp (mp_no *, mp_no *, int);
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extern void __c32 (mp_no *, mp_no *, mp_no *, int);
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extern int __mpranred (double, mp_no *, int);
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/* Given a power POW, build a multiprecision number 2^POW. */
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static inline void
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__pow_mp (int pow, mp_no *y, int p)
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{
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int i, rem;
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/* The exponent is E such that E is a factor of 2^24. The remainder (of the
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form 2^x) goes entirely into the first digit of the mantissa as it is
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always less than 2^24. */
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EY = pow / 24;
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rem = pow - EY * 24;
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EY++;
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/* If the remainder is negative, it means that POW was negative since
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|EY * 24| <= |pow|. Adjust so that REM is positive and still less than
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24 because of which, the mantissa digit is less than 2^24. */
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if (rem < 0)
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{
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EY--;
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rem += 24;
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}
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/* The sign of any 2^x is always positive. */
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Y[0] = 1;
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Y[1] = 1 << rem;
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/* Everything else is 0. */
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for (i = 2; i <= p; i++)
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Y[i] = 0;
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}
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