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jeremybenn |
/****************************************************************
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*
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* The author of this software is David M. Gay.
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*
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* Copyright (c) 1991, 2000 by AT&T.
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*
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* Permission to use, copy, modify, and distribute this software for any
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* purpose without fee is hereby granted, provided that this entire notice
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* is included in all copies of any software which is or includes a copy
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* or modification of this software and in all copies of the supporting
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* documentation for such software.
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*
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* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
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* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
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* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
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* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
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*
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***************************************************************/
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/* Please send bug reports to
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David M. Gay
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AT&T Bell Laboratories, Room 2C-463
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600 Mountain Avenue
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Murray Hill, NJ 07974-2070
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U.S.A.
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dmg@research.att.com or research!dmg
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*/
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#ifndef __CLASSPATH_MPREC_H__
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#define __CLASSPATH_MPREC_H__
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#include <config.h>
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#include "config-int.h"
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#include "ieeefp.h"
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/* CLASSPATH LOCAL */
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#include "namespace.h"
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#if defined HAVE_SYS_TYPES_H
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#include <sys/types.h>
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#endif
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#if defined HAVE_SYS_CONFIG_H
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#include <sys/config.h>
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#endif
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#ifdef __cplusplus
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extern "C" {
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#endif
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/* These typedefs are true for the targets running Java. */
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#ifdef __IEEE_LITTLE_ENDIAN
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#define IEEE_8087
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#endif
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#ifdef __IEEE_BIG_ENDIAN
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#define IEEE_MC68k
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#endif
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#ifdef __Z8000__
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#define Just_16
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#endif
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#ifdef DEBUG
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#include "stdio.h"
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#include <stdlib.h>
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#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
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#endif
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#ifdef Unsigned_Shifts
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#define Sign_Extend(a,b) if (b < 0) a |= (uint32_t)0xffff0000;
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#else
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#define Sign_Extend(a,b) /*no-op*/
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#endif
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#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
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Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
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#endif
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/* If we are going to examine or modify specific bits in a double using
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the word0 and/or word1 macros, then we must wrap the double inside
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a union. This is necessary to avoid undefined behavior according to
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the ANSI C spec. */
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union double_union
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{
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double d;
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uint32_t i[2];
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};
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#ifdef IEEE_8087
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#define word0(x) (x.i[1])
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#define word1(x) (x.i[0])
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#else
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#define word0(x) (x.i[0])
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#define word1(x) (x.i[1])
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#endif
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/* The following definition of Storeinc is appropriate for MIPS processors.
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* An alternative that might be better on some machines is
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* #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
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*/
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#if defined(__IEEE_BYTES_LITTLE_ENDIAN) + defined(IEEE_8087) + defined(VAX)
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#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
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((unsigned short *)a)[0] = (unsigned short)c, a++)
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#else
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#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
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((unsigned short *)a)[1] = (unsigned short)c, a++)
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#endif
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/* #define P DBL_MANT_DIG */
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/* Ten_pmax = floor(P*log(2)/log(5)) */
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/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
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/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
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/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
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#if defined(IEEE_8087) + defined(IEEE_MC68k)
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#if defined (_DOUBLE_IS_32BITS)
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#define Exp_shift 23
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#define Exp_shift1 23
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#define Exp_msk1 ((uint32_t)0x00800000L)
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#define Exp_msk11 ((uint32_t)0x00800000L)
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#define Exp_mask ((uint32_t)0x7f800000L)
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#define P 24
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#define Bias 127
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#if 0
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#define IEEE_Arith /* it is, but the code doesn't handle IEEE singles yet */
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#endif
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#define Emin (-126)
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#define Exp_1 ((uint32_t)0x3f800000L)
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#define Exp_11 ((uint32_t)0x3f800000L)
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#define Ebits 8
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#define Frac_mask ((uint32_t)0x007fffffL)
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#define Frac_mask1 ((uint32_t)0x007fffffL)
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#define Ten_pmax 10
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#define Sign_bit ((uint32_t)0x80000000L)
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#define Ten_pmax 10
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#define Bletch 2
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#define Bndry_mask ((uint32_t)0x007fffffL)
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#define Bndry_mask1 ((uint32_t)0x007fffffL)
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#define LSB 1
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#define Sign_bit ((uint32_t)0x80000000L)
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#define Log2P 1
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#define Tiny0 0
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#define Tiny1 1
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#define Quick_max 5
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#define Int_max 6
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#define Infinite(x) (word0(x) == ((uint32_t)0x7f800000L))
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#undef word0
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#undef word1
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#define word0(x) (x.i[0])
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#define word1(x) 0
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#else
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#define Exp_shift 20
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#define Exp_shift1 20
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#define Exp_msk1 ((uint32_t)0x100000L)
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#define Exp_msk11 ((uint32_t)0x100000L)
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#define Exp_mask ((uint32_t)0x7ff00000L)
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#define P 53
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#define Bias 1023
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#define IEEE_Arith
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#define Emin (-1022)
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#define Exp_1 ((uint32_t)0x3ff00000L)
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#define Exp_11 ((uint32_t)0x3ff00000L)
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#define Ebits 11
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#define Frac_mask ((uint32_t)0xfffffL)
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#define Frac_mask1 ((uint32_t)0xfffffL)
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#define Ten_pmax 22
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#define Bletch 0x10
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#define Bndry_mask ((uint32_t)0xfffffL)
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#define Bndry_mask1 ((uint32_t)0xfffffL)
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#define LSB 1
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#define Sign_bit ((uint32_t)0x80000000L)
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#define Log2P 1
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| 177 |
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#define Tiny0 0
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#define Tiny1 1
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| 179 |
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#define Quick_max 14
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| 180 |
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#define Int_max 14
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| 181 |
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#define Infinite(x) (word0(x) == ((uint32_t)0x7ff00000L)) /* sufficient test for here */
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#endif
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| 184 |
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#else
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#undef Sudden_Underflow
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#define Sudden_Underflow
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| 187 |
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#ifdef IBM
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#define Exp_shift 24
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#define Exp_shift1 24
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#define Exp_msk1 ((uint32_t)0x1000000L)
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| 191 |
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#define Exp_msk11 ((uint32_t)0x1000000L)
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| 192 |
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#define Exp_mask ((uint32_t)0x7f000000L)
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| 193 |
|
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#define P 14
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| 194 |
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#define Bias 65
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| 195 |
|
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#define Exp_1 ((uint32_t)0x41000000L)
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| 196 |
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#define Exp_11 ((uint32_t)0x41000000L)
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| 197 |
|
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#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
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| 198 |
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#define Frac_mask ((uint32_t)0xffffffL)
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| 199 |
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#define Frac_mask1 ((uint32_t)0xffffffL)
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| 200 |
|
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#define Bletch 4
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| 201 |
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#define Ten_pmax 22
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| 202 |
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#define Bndry_mask ((uint32_t)0xefffffL)
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| 203 |
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#define Bndry_mask1 ((uint32_t)0xffffffL)
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#define LSB 1
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#define Sign_bit ((uint32_t)0x80000000L)
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| 206 |
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#define Log2P 4
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#define Tiny0 ((uint32_t)0x100000L)
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| 208 |
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#define Tiny1 0
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#define Quick_max 14
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#define Int_max 15
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| 211 |
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#else /* VAX */
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| 212 |
|
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#define Exp_shift 23
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| 213 |
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#define Exp_shift1 7
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| 214 |
|
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#define Exp_msk1 0x80
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| 215 |
|
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#define Exp_msk11 ((uint32_t)0x800000L)
|
| 216 |
|
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#define Exp_mask ((uint32_t)0x7f80L)
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| 217 |
|
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#define P 56
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| 218 |
|
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#define Bias 129
|
| 219 |
|
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#define Exp_1 ((uint32_t)0x40800000L)
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| 220 |
|
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#define Exp_11 ((uint32_t)0x4080L)
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| 221 |
|
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#define Ebits 8
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| 222 |
|
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#define Frac_mask ((uint32_t)0x7fffffL)
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| 223 |
|
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#define Frac_mask1 ((uint32_t)0xffff007fL)
|
| 224 |
|
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#define Ten_pmax 24
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| 225 |
|
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#define Bletch 2
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| 226 |
|
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#define Bndry_mask ((uint32_t)0xffff007fL)
|
| 227 |
|
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#define Bndry_mask1 ((uint32_t)0xffff007fL)
|
| 228 |
|
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#define LSB ((uint32_t)0x10000L)
|
| 229 |
|
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#define Sign_bit ((uint32_t)0x8000L)
|
| 230 |
|
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#define Log2P 1
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| 231 |
|
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#define Tiny0 0x80
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| 232 |
|
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#define Tiny1 0
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| 233 |
|
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#define Quick_max 15
|
| 234 |
|
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#define Int_max 15
|
| 235 |
|
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#endif
|
| 236 |
|
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#endif
|
| 237 |
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|
| 238 |
|
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#ifndef IEEE_Arith
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| 239 |
|
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#define ROUND_BIASED
|
| 240 |
|
|
#endif
|
| 241 |
|
|
|
| 242 |
|
|
#ifdef RND_PRODQUOT
|
| 243 |
|
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#define rounded_product(a,b) a = rnd_prod(a, b)
|
| 244 |
|
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#define rounded_quotient(a,b) a = rnd_quot(a, b)
|
| 245 |
|
|
#ifdef KR_headers
|
| 246 |
|
|
extern double rnd_prod(), rnd_quot();
|
| 247 |
|
|
#else
|
| 248 |
|
|
extern double rnd_prod(double, double), rnd_quot(double, double);
|
| 249 |
|
|
#endif
|
| 250 |
|
|
#else
|
| 251 |
|
|
#define rounded_product(a,b) a *= b
|
| 252 |
|
|
#define rounded_quotient(a,b) a /= b
|
| 253 |
|
|
#endif
|
| 254 |
|
|
|
| 255 |
|
|
#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
|
| 256 |
|
|
#define Big1 ((uint32_t)0xffffffffL)
|
| 257 |
|
|
|
| 258 |
|
|
#ifndef Just_16
|
| 259 |
|
|
/* When Pack_32 is not defined, we store 16 bits per 32-bit long.
|
| 260 |
|
|
* This makes some inner loops simpler and sometimes saves work
|
| 261 |
|
|
* during multiplications, but it often seems to make things slightly
|
| 262 |
|
|
* slower. Hence the default is now to store 32 bits per long.
|
| 263 |
|
|
*/
|
| 264 |
|
|
|
| 265 |
|
|
#ifndef Pack_32
|
| 266 |
|
|
#if SIZEOF_VOID_P != 8
|
| 267 |
|
|
#define Pack_32
|
| 268 |
|
|
#endif
|
| 269 |
|
|
#endif
|
| 270 |
|
|
#endif
|
| 271 |
|
|
|
| 272 |
|
|
|
| 273 |
|
|
#define MAX_BIGNUMS 16
|
| 274 |
|
|
#ifdef Pack_32
|
| 275 |
|
|
#define MAX_BIGNUM_WDS 32
|
| 276 |
|
|
#else
|
| 277 |
|
|
/* Note that this is a workaround for */
|
| 278 |
|
|
#define MAX_BIGNUM_WDS 128
|
| 279 |
|
|
#endif
|
| 280 |
|
|
|
| 281 |
|
|
struct _Jv_Bigint
|
| 282 |
|
|
{
|
| 283 |
|
|
struct _Jv_Bigint *_next;
|
| 284 |
|
|
int _k, _maxwds, _sign, _wds;
|
| 285 |
|
|
unsigned long _x[1];
|
| 286 |
|
|
};
|
| 287 |
|
|
|
| 288 |
|
|
|
| 289 |
|
|
#define _PTR void *
|
| 290 |
|
|
#define _AND ,
|
| 291 |
|
|
#define _NOARGS void
|
| 292 |
|
|
#define _CONST const
|
| 293 |
|
|
#define _VOLATILE volatile
|
| 294 |
|
|
#define _SIGNED signed
|
| 295 |
|
|
#define _DOTS , ...
|
| 296 |
|
|
#define _VOID void
|
| 297 |
|
|
#ifndef _EXFUN
|
| 298 |
|
|
#define _EXFUN(name, proto) name proto
|
| 299 |
|
|
#endif /* !EXFUN */
|
| 300 |
|
|
#define _DEFUN(name, arglist, args) name(args)
|
| 301 |
|
|
#define _DEFUN_VOID(name) name(_NOARGS)
|
| 302 |
|
|
#define _CAST_VOID (void)
|
| 303 |
|
|
|
| 304 |
|
|
|
| 305 |
|
|
struct _Jv_reent
|
| 306 |
|
|
{
|
| 307 |
|
|
/* local copy of errno */
|
| 308 |
|
|
int _errno;
|
| 309 |
|
|
|
| 310 |
|
|
/* used by mprec routines */
|
| 311 |
|
|
struct _Jv_Bigint *_result;
|
| 312 |
|
|
int _result_k;
|
| 313 |
|
|
struct _Jv_Bigint *_p5s;
|
| 314 |
|
|
|
| 315 |
|
|
struct _Jv_Bigint **_freelist;
|
| 316 |
|
|
int _max_k;
|
| 317 |
|
|
};
|
| 318 |
|
|
|
| 319 |
|
|
|
| 320 |
|
|
typedef struct _Jv_Bigint _Jv_Bigint;
|
| 321 |
|
|
|
| 322 |
|
|
#define Balloc _Jv_Balloc
|
| 323 |
|
|
#define Bfree _Jv_Bfree
|
| 324 |
|
|
#define multadd _Jv_multadd
|
| 325 |
|
|
#define s2b _Jv_s2b
|
| 326 |
|
|
#define lo0bits _Jv_lo0bits
|
| 327 |
|
|
#define hi0bits _Jv_hi0bits
|
| 328 |
|
|
#define i2b _Jv_i2b
|
| 329 |
|
|
#define mult _Jv_mult
|
| 330 |
|
|
#define pow5mult _Jv_pow5mult
|
| 331 |
|
|
#define lshift _Jv_lshift
|
| 332 |
|
|
#define cmp _Jv__mcmp
|
| 333 |
|
|
#define diff _Jv__mdiff
|
| 334 |
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#define ulp _Jv_ulp
|
| 335 |
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|
#define b2d _Jv_b2d
|
| 336 |
|
|
#define d2b _Jv_d2b
|
| 337 |
|
|
#define ratio _Jv_ratio
|
| 338 |
|
|
|
| 339 |
|
|
#define tens _Jv__mprec_tens
|
| 340 |
|
|
#define bigtens _Jv__mprec_bigtens
|
| 341 |
|
|
#define tinytens _Jv__mprec_tinytens
|
| 342 |
|
|
|
| 343 |
|
|
#define _dtoa _Jv_dtoa
|
| 344 |
|
|
#define _dtoa_r _Jv_dtoa_r
|
| 345 |
|
|
#define _strtod_r _Jv_strtod_r
|
| 346 |
|
|
|
| 347 |
|
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extern double _EXFUN(_strtod_r, (struct _Jv_reent *ptr, const char *s00, char **se));
|
| 348 |
|
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extern char* _EXFUN(_dtoa_r, (struct _Jv_reent *ptr, double d,
|
| 349 |
|
|
int mode, int ndigits, int *decpt, int *sign,
|
| 350 |
|
|
char **rve, int float_type));
|
| 351 |
|
|
void _EXFUN(_dtoa, (double d, int mode, int ndigits, int *decpt, int *sign,
|
| 352 |
|
|
char **rve, char *buf, int float_type));
|
| 353 |
|
|
|
| 354 |
|
|
double _EXFUN(ulp,(double x));
|
| 355 |
|
|
double _EXFUN(b2d,(_Jv_Bigint *a , int *e));
|
| 356 |
|
|
_Jv_Bigint * _EXFUN(Balloc,(struct _Jv_reent *p, int k));
|
| 357 |
|
|
void _EXFUN(Bfree,(struct _Jv_reent *p, _Jv_Bigint *v));
|
| 358 |
|
|
_Jv_Bigint * _EXFUN(multadd,(struct _Jv_reent *p, _Jv_Bigint *, int, int));
|
| 359 |
|
|
_Jv_Bigint * _EXFUN(s2b,(struct _Jv_reent *, const char*, int, int, unsigned long));
|
| 360 |
|
|
_Jv_Bigint * _EXFUN(i2b,(struct _Jv_reent *,int));
|
| 361 |
|
|
_Jv_Bigint * _EXFUN(mult, (struct _Jv_reent *, _Jv_Bigint *, _Jv_Bigint *));
|
| 362 |
|
|
_Jv_Bigint * _EXFUN(pow5mult, (struct _Jv_reent *, _Jv_Bigint *, int k));
|
| 363 |
|
|
int _EXFUN(hi0bits,(unsigned long));
|
| 364 |
|
|
int _EXFUN(lo0bits,(unsigned long *));
|
| 365 |
|
|
_Jv_Bigint * _EXFUN(d2b,(struct _Jv_reent *p, double d, int *e, int *bits));
|
| 366 |
|
|
_Jv_Bigint * _EXFUN(lshift,(struct _Jv_reent *p, _Jv_Bigint *b, int k));
|
| 367 |
|
|
_Jv_Bigint * _EXFUN(diff,(struct _Jv_reent *p, _Jv_Bigint *a, _Jv_Bigint *b));
|
| 368 |
|
|
int _EXFUN(cmp,(_Jv_Bigint *a, _Jv_Bigint *b));
|
| 369 |
|
|
|
| 370 |
|
|
double _EXFUN(ratio,(_Jv_Bigint *a, _Jv_Bigint *b));
|
| 371 |
|
|
#define Bcopy(x,y) memcpy((char *)&x->_sign, (char *)&y->_sign, y->_wds*sizeof(long) + 2*sizeof(int))
|
| 372 |
|
|
|
| 373 |
|
|
#if defined(_DOUBLE_IS_32BITS) && defined(__v800)
|
| 374 |
|
|
#define n_bigtens 2
|
| 375 |
|
|
#else
|
| 376 |
|
|
#define n_bigtens 5
|
| 377 |
|
|
#endif
|
| 378 |
|
|
|
| 379 |
|
|
extern _CONST double tinytens[];
|
| 380 |
|
|
extern _CONST double bigtens[];
|
| 381 |
|
|
extern _CONST double tens[];
|
| 382 |
|
|
|
| 383 |
|
|
#ifdef __cplusplus
|
| 384 |
|
|
}
|
| 385 |
|
|
#endif
|
| 386 |
|
|
|
| 387 |
|
|
#endif /* __CLASSPATH_MPREC_H__ */
|