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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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#define Tiny0 0
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#define Tiny1 1
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#define Quick_max 14
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#define Int_max 14
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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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185 |
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#undef Sudden_Underflow
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186 |
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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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#define Exp_msk11 ((uint32_t)0x1000000L)
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#define Exp_mask ((uint32_t)0x7f000000L)
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#define P 14
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194 |
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#define Bias 65
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#define Exp_1 ((uint32_t)0x41000000L)
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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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205 |
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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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207 |
|
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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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209 |
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#define Quick_max 14
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210 |
|
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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)
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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)
|
220 |
|
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#define Exp_11 ((uint32_t)0x4080L)
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221 |
|
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#define Ebits 8
|
222 |
|
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#define Frac_mask ((uint32_t)0x7fffffL)
|
223 |
|
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#define Frac_mask1 ((uint32_t)0xffff007fL)
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224 |
|
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#define Ten_pmax 24
|
225 |
|
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#define Bletch 2
|
226 |
|
|
#define Bndry_mask ((uint32_t)0xffff007fL)
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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 |
|
|
#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
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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
|
239 |
|
|
#define ROUND_BIASED
|
240 |
|
|
#endif
|
241 |
|
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|
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 |
|
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#ifdef KR_headers
|
246 |
|
|
extern double rnd_prod(), rnd_quot();
|
247 |
|
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#else
|
248 |
|
|
extern double rnd_prod(double, double), rnd_quot(double, double);
|
249 |
|
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#endif
|
250 |
|
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#else
|
251 |
|
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#define rounded_product(a,b) a *= b
|
252 |
|
|
#define rounded_quotient(a,b) a /= b
|
253 |
|
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#endif
|
254 |
|
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|
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 |
|
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|
265 |
|
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#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 |
|
|
#define ulp _Jv_ulp
|
335 |
|
|
#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 |
|
|
extern double _EXFUN(_strtod_r, (struct _Jv_reent *ptr, const char *s00, char **se));
|
348 |
|
|
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__ */
|