[444] | 1 | /**************************************************************** |
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| 2 | * |
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| 3 | * The author of this software is David M. Gay. |
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| 4 | * |
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| 5 | * Copyright (c) 1991 by AT&T. |
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| 6 | * |
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| 7 | * Permission to use, copy, modify, and distribute this software for any |
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| 8 | * purpose without fee is hereby granted, provided that this entire notice |
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| 9 | * is included in all copies of any software which is or includes a copy |
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| 10 | * or modification of this software and in all copies of the supporting |
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| 11 | * documentation for such software. |
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| 12 | * |
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| 13 | * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED |
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| 14 | * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY |
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| 15 | * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY |
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| 16 | * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. |
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| 17 | * |
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| 18 | ***************************************************************/ |
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| 19 | |
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| 20 | /* Please send bug reports to |
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| 21 | David M. Gay |
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| 22 | AT&T Bell Laboratories, Room 2C-463 |
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| 23 | 600 Mountain Avenue |
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| 24 | Murray Hill, NJ 07974-2070 |
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| 25 | U.S.A. |
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| 26 | dmg@research.att.com or research!dmg |
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| 27 | */ |
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| 28 | |
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| 29 | /* This header file is a modification of mprec.h that only contains floating |
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| 30 | point union code. */ |
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| 31 | |
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| 32 | #include <newlib.h> |
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| 33 | #include <ieeefp.h> |
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| 34 | #include <math.h> |
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| 35 | #include <float.h> |
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| 36 | #include <errno.h> |
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| 37 | #include <sys/config.h> |
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| 38 | #include <sys/cdefs.h> |
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| 39 | |
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| 40 | #ifdef __IEEE_LITTLE_ENDIAN |
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| 41 | #define IEEE_8087 |
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| 42 | #endif |
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| 43 | |
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| 44 | #ifdef __IEEE_BIG_ENDIAN |
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| 45 | #define IEEE_MC68k |
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| 46 | #endif |
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| 47 | |
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| 48 | #ifdef __Z8000__ |
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| 49 | #define Just_16 |
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| 50 | #endif |
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| 51 | |
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| 52 | #ifdef Unsigned_Shifts |
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| 53 | #define Sign_Extend(a,b) if (b < 0) a |= (__uint32_t)0xffff0000; |
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| 54 | #else |
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| 55 | #define Sign_Extend(a,b) /*no-op*/ |
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| 56 | #endif |
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| 57 | |
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| 58 | #if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1 |
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| 59 | Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined. |
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| 60 | #endif |
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| 61 | |
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| 62 | #ifdef _WANT_IO_LONG_DOUBLE |
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| 63 | /* If we are going to examine or modify specific bits in a long double using |
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| 64 | the lword0 or lwordx macros, then we must wrap the long double inside |
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| 65 | a union. This is necessary to avoid undefined behavior according to |
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| 66 | the ANSI C spec. */ |
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| 67 | |
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| 68 | #ifdef IEEE_8087 |
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| 69 | #if LDBL_MANT_DIG == 24 |
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| 70 | struct ldieee |
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| 71 | { |
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| 72 | unsigned manh:23; |
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| 73 | unsigned exp:8; |
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| 74 | unsigned sign:1; |
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| 75 | } __packed; |
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| 76 | #elif LDBL_MANT_DIG == 53 |
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| 77 | struct ldieee |
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| 78 | { |
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| 79 | unsigned manl:20; |
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| 80 | unsigned manh:32; |
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| 81 | unsigned exp:11; |
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| 82 | unsigned sign:1; |
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| 83 | } __packed; |
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| 84 | #elif LDBL_MANT_DIG == 64 |
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| 85 | struct ldieee |
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| 86 | { |
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| 87 | unsigned manl:32; |
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| 88 | unsigned manh:32; |
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| 89 | unsigned exp:15; |
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| 90 | unsigned sign:1; |
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| 91 | } __packed; |
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| 92 | #elif LDBL_MANT_DIG > 64 |
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| 93 | struct ldieee |
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| 94 | { |
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| 95 | unsigned manl3:16; |
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| 96 | unsigned manl2:32; |
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| 97 | unsigned manl:32; |
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| 98 | unsigned manh:32; |
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| 99 | unsigned exp:15; |
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| 100 | unsigned sign:1; |
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| 101 | } __packed; |
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| 102 | #endif /* LDBL_MANT_DIG */ |
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| 103 | #else /* !IEEE_8087 */ |
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| 104 | #if LDBL_MANT_DIG == 24 |
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| 105 | struct ldieee |
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| 106 | { |
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| 107 | unsigned sign:1; |
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| 108 | unsigned exp:8; |
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| 109 | unsigned manh:23; |
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| 110 | } __packed; |
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| 111 | #elif LDBL_MANT_DIG == 53 |
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| 112 | struct ldieee |
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| 113 | { |
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| 114 | unsigned sign:1; |
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| 115 | unsigned exp:11; |
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| 116 | unsigned manh:32; |
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| 117 | unsigned manl:20; |
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| 118 | } __packed; |
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| 119 | #elif LDBL_MANT_DIG == 64 |
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| 120 | struct ldieee |
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| 121 | { |
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| 122 | unsigned sign:1; |
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| 123 | unsigned exp:15; |
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| 124 | unsigned manh:32; |
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| 125 | unsigned manl:32; |
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| 126 | } __packed; |
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| 127 | #elif LDBL_MANT_DIG > 64 |
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| 128 | struct ldieee |
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| 129 | { |
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| 130 | unsigned sign:1; |
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| 131 | unsigned exp:15; |
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| 132 | unsigned manh:32; |
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| 133 | unsigned manl:32; |
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| 134 | unsigned manl2:32; |
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| 135 | unsigned manl3:16; |
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| 136 | } __packed; |
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| 137 | #endif /* LDBL_MANT_DIG */ |
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| 138 | #endif /* !IEEE_8087 */ |
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| 139 | #endif /* _WANT_IO_LONG_DOUBLE */ |
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| 140 | |
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| 141 | /* If we are going to examine or modify specific bits in a double using |
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| 142 | the word0 and/or word1 macros, then we must wrap the double inside |
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| 143 | a union. This is necessary to avoid undefined behavior according to |
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| 144 | the ANSI C spec. */ |
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| 145 | union double_union |
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| 146 | { |
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| 147 | double d; |
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| 148 | __uint32_t i[2]; |
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| 149 | }; |
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| 150 | |
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| 151 | #ifdef IEEE_8087 |
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| 152 | #define word0(x) (x.i[1]) |
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| 153 | #define word1(x) (x.i[0]) |
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| 154 | #else |
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| 155 | #define word0(x) (x.i[0]) |
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| 156 | #define word1(x) (x.i[1]) |
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| 157 | #endif |
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| 158 | |
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| 159 | /* #define P DBL_MANT_DIG */ |
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| 160 | /* Ten_pmax = floor(P*log(2)/log(5)) */ |
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| 161 | /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ |
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| 162 | /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ |
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| 163 | /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ |
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| 164 | |
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| 165 | #if defined(IEEE_8087) + defined(IEEE_MC68k) |
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| 166 | #if defined (_DOUBLE_IS_32BITS) |
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| 167 | #define Exp_shift 23 |
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| 168 | #define Exp_shift1 23 |
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| 169 | #define Exp_msk1 ((__uint32_t)0x00800000L) |
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| 170 | #define Exp_msk11 ((__uint32_t)0x00800000L) |
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| 171 | #define Exp_mask ((__uint32_t)0x7f800000L) |
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| 172 | #define P 24 |
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| 173 | #define Bias 127 |
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| 174 | #define IEEE_Arith |
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| 175 | #define Emin (-126) |
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| 176 | #define Exp_1 ((__uint32_t)0x3f800000L) |
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| 177 | #define Exp_11 ((__uint32_t)0x3f800000L) |
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| 178 | #define Ebits 8 |
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| 179 | #define Frac_mask ((__uint32_t)0x007fffffL) |
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| 180 | #define Frac_mask1 ((__uint32_t)0x007fffffL) |
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| 181 | #define Ten_pmax 10 |
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| 182 | #define Sign_bit ((__uint32_t)0x80000000L) |
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| 183 | #define Ten_pmax 10 |
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| 184 | #define Bletch 2 |
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| 185 | #define Bndry_mask ((__uint32_t)0x007fffffL) |
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| 186 | #define Bndry_mask1 ((__uint32_t)0x007fffffL) |
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| 187 | #define LSB 1 |
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| 188 | #define Sign_bit ((__uint32_t)0x80000000L) |
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| 189 | #define Log2P 1 |
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| 190 | #define Tiny0 0 |
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| 191 | #define Tiny1 1 |
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| 192 | #define Quick_max 5 |
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| 193 | #define Int_max 6 |
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| 194 | #define Infinite(x) (word0(x) == ((__uint32_t)0x7f800000L)) |
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| 195 | #undef word0 |
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| 196 | #undef word1 |
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| 197 | |
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| 198 | #define word0(x) (x.i[0]) |
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| 199 | #define word1(x) 0 |
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| 200 | #else |
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| 201 | |
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| 202 | #define Exp_shift 20 |
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| 203 | #define Exp_shift1 20 |
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| 204 | #define Exp_msk1 ((__uint32_t)0x100000L) |
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| 205 | #define Exp_msk11 ((__uint32_t)0x100000L) |
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| 206 | #define Exp_mask ((__uint32_t)0x7ff00000L) |
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| 207 | #define P 53 |
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| 208 | #define Bias 1023 |
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| 209 | #define IEEE_Arith |
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| 210 | #define Emin (-1022) |
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| 211 | #define Exp_1 ((__uint32_t)0x3ff00000L) |
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| 212 | #define Exp_11 ((__uint32_t)0x3ff00000L) |
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| 213 | #define Ebits 11 |
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| 214 | #define Frac_mask ((__uint32_t)0xfffffL) |
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| 215 | #define Frac_mask1 ((__uint32_t)0xfffffL) |
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| 216 | #define Ten_pmax 22 |
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| 217 | #define Bletch 0x10 |
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| 218 | #define Bndry_mask ((__uint32_t)0xfffffL) |
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| 219 | #define Bndry_mask1 ((__uint32_t)0xfffffL) |
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| 220 | #define LSB 1 |
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| 221 | #define Sign_bit ((__uint32_t)0x80000000L) |
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| 222 | #define Log2P 1 |
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| 223 | #define Tiny0 0 |
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| 224 | #define Tiny1 1 |
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| 225 | #define Quick_max 14 |
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| 226 | #define Int_max 14 |
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| 227 | #define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */ |
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| 228 | #endif |
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| 229 | |
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| 230 | #else |
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| 231 | #undef Sudden_Underflow |
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| 232 | #define Sudden_Underflow |
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| 233 | #ifdef IBM |
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| 234 | #define Exp_shift 24 |
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| 235 | #define Exp_shift1 24 |
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| 236 | #define Exp_msk1 ((__uint32_t)0x1000000L) |
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| 237 | #define Exp_msk11 ((__uint32_t)0x1000000L) |
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| 238 | #define Exp_mask ((__uint32_t)0x7f000000L) |
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| 239 | #define P 14 |
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| 240 | #define Bias 65 |
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| 241 | #define Exp_1 ((__uint32_t)0x41000000L) |
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| 242 | #define Exp_11 ((__uint32_t)0x41000000L) |
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| 243 | #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ |
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| 244 | #define Frac_mask ((__uint32_t)0xffffffL) |
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| 245 | #define Frac_mask1 ((__uint32_t)0xffffffL) |
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| 246 | #define Bletch 4 |
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| 247 | #define Ten_pmax 22 |
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| 248 | #define Bndry_mask ((__uint32_t)0xefffffL) |
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| 249 | #define Bndry_mask1 ((__uint32_t)0xffffffL) |
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| 250 | #define LSB 1 |
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| 251 | #define Sign_bit ((__uint32_t)0x80000000L) |
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| 252 | #define Log2P 4 |
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| 253 | #define Tiny0 ((__uint32_t)0x100000L) |
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| 254 | #define Tiny1 0 |
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| 255 | #define Quick_max 14 |
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| 256 | #define Int_max 15 |
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| 257 | #else /* VAX */ |
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| 258 | #define Exp_shift 23 |
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| 259 | #define Exp_shift1 7 |
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| 260 | #define Exp_msk1 0x80 |
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| 261 | #define Exp_msk11 ((__uint32_t)0x800000L) |
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| 262 | #define Exp_mask ((__uint32_t)0x7f80L) |
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| 263 | #define P 56 |
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| 264 | #define Bias 129 |
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| 265 | #define Exp_1 ((__uint32_t)0x40800000L) |
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| 266 | #define Exp_11 ((__uint32_t)0x4080L) |
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| 267 | #define Ebits 8 |
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| 268 | #define Frac_mask ((__uint32_t)0x7fffffL) |
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| 269 | #define Frac_mask1 ((__uint32_t)0xffff007fL) |
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| 270 | #define Ten_pmax 24 |
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| 271 | #define Bletch 2 |
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| 272 | #define Bndry_mask ((__uint32_t)0xffff007fL) |
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| 273 | #define Bndry_mask1 ((__uint32_t)0xffff007fL) |
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| 274 | #define LSB ((__uint32_t)0x10000L) |
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| 275 | #define Sign_bit ((__uint32_t)0x8000L) |
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| 276 | #define Log2P 1 |
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| 277 | #define Tiny0 0x80 |
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| 278 | #define Tiny1 0 |
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| 279 | #define Quick_max 15 |
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| 280 | #define Int_max 15 |
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| 281 | #endif |
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| 282 | #endif |
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| 283 | |
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| 284 | |
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