[444] | 1 | /* Extended precision arithmetic functions for long double I/O. |
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| 2 | * This program has been placed in the public domain. |
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| 3 | */ |
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| 4 | |
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| 5 | #include <_ansi.h> |
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| 6 | #include <reent.h> |
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| 7 | #include <string.h> |
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| 8 | #include <stdlib.h> |
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| 9 | #include "mprec.h" |
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| 10 | |
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| 11 | /* These are the externally visible entries. */ |
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| 12 | /* linux name: long double _IO_strtold (char *, char **); */ |
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| 13 | long double _strtold (char *, char **); |
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| 14 | char *_ldtoa_r (struct _reent *, long double, int, int, int *, int *, |
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| 15 | char **); |
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| 16 | int _ldcheck (long double *); |
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| 17 | #if 0 |
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| 18 | void _IO_ldtostr (long double *, char *, int, int, char); |
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| 19 | #endif |
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| 20 | |
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| 21 | /* Number of 16 bit words in external x type format */ |
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| 22 | #define NE 10 |
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| 23 | |
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| 24 | /* Number of 16 bit words in internal format */ |
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| 25 | #define NI (NE+3) |
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| 26 | |
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| 27 | /* Array offset to exponent */ |
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| 28 | #define E 1 |
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| 29 | |
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| 30 | /* Array offset to high guard word */ |
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| 31 | #define M 2 |
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| 32 | |
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| 33 | /* Number of bits of precision */ |
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| 34 | #define NBITS ((NI-4)*16) |
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| 35 | |
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| 36 | /* Maximum number of decimal digits in ASCII conversion |
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| 37 | * = NBITS*log10(2) |
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| 38 | */ |
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| 39 | #define NDEC (NBITS*8/27) |
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| 40 | |
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| 41 | /* The exponent of 1.0 */ |
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| 42 | #define EXONE (0x3fff) |
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| 43 | |
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| 44 | /* Maximum exponent digits - base 10 */ |
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| 45 | #define MAX_EXP_DIGITS 5 |
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| 46 | |
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| 47 | /* Control structure for long double conversion including rounding precision values. |
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| 48 | * rndprc can be set to 80 (if NE=6), 64, 56, 53, or 24 bits. |
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| 49 | */ |
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| 50 | typedef struct |
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| 51 | { |
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| 52 | int rlast; |
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| 53 | int rndprc; |
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| 54 | int rw; |
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| 55 | int re; |
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| 56 | int outexpon; |
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| 57 | unsigned short rmsk; |
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| 58 | unsigned short rmbit; |
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| 59 | unsigned short rebit; |
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| 60 | unsigned short rbit[NI]; |
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| 61 | unsigned short equot[NI]; |
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| 62 | } LDPARMS; |
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| 63 | |
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| 64 | static void esub (const short unsigned int *a, const short unsigned int *b, |
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| 65 | short unsigned int *c, LDPARMS * ldp); |
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| 66 | static void emul (const short unsigned int *a, const short unsigned int *b, |
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| 67 | short unsigned int *c, LDPARMS * ldp); |
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| 68 | static void ediv (const short unsigned int *a, const short unsigned int *b, |
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| 69 | short unsigned int *c, LDPARMS * ldp); |
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| 70 | static int ecmp (const short unsigned int *a, const short unsigned int *b); |
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| 71 | static int enormlz (short unsigned int *x); |
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| 72 | static int eshift (short unsigned int *x, int sc); |
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| 73 | static void eshup1 (register short unsigned int *x); |
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| 74 | static void eshup8 (register short unsigned int *x); |
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| 75 | static void eshup6 (register short unsigned int *x); |
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| 76 | static void eshdn1 (register short unsigned int *x); |
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| 77 | static void eshdn8 (register short unsigned int *x); |
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| 78 | static void eshdn6 (register short unsigned int *x); |
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| 79 | static void eneg (short unsigned int *x); |
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| 80 | static void emov (register const short unsigned int *a, |
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| 81 | register short unsigned int *b); |
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| 82 | static void eclear (register short unsigned int *x); |
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| 83 | static void einfin (register short unsigned int *x, register LDPARMS * ldp); |
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| 84 | static void efloor (short unsigned int *x, short unsigned int *y, |
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| 85 | LDPARMS * ldp); |
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| 86 | static void etoasc (short unsigned int *x, char *string, int ndigs, |
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| 87 | int outformat, LDPARMS * ldp); |
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| 88 | |
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| 89 | union uconv |
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| 90 | { |
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| 91 | unsigned short pe; |
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| 92 | long double d; |
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| 93 | }; |
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| 94 | |
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| 95 | #if LDBL_MANT_DIG == 24 |
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| 96 | static void e24toe (short unsigned int *pe, short unsigned int *y, |
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| 97 | LDPARMS * ldp); |
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| 98 | #elif LDBL_MANT_DIG == 53 |
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| 99 | static void e53toe (short unsigned int *pe, short unsigned int *y, |
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| 100 | LDPARMS * ldp); |
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| 101 | #elif LDBL_MANT_DIG == 64 |
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| 102 | static void e64toe (short unsigned int *pe, short unsigned int *y, |
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| 103 | LDPARMS * ldp); |
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| 104 | #else |
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| 105 | static void e113toe (short unsigned int *pe, short unsigned int *y, |
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| 106 | LDPARMS * ldp); |
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| 107 | #endif |
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| 108 | |
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| 109 | /* econst.c */ |
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| 110 | /* e type constants used by high precision check routines */ |
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| 111 | |
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| 112 | #if NE == 10 |
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| 113 | /* 0.0 */ |
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| 114 | static const unsigned short ezero[NE] = { 0x0000, 0x0000, 0x0000, 0x0000, |
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| 115 | 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, |
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| 116 | }; |
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| 117 | |
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| 118 | /* 1.0E0 */ |
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| 119 | static const unsigned short eone[NE] = { 0x0000, 0x0000, 0x0000, 0x0000, |
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| 120 | 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff, |
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| 121 | }; |
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| 122 | |
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| 123 | #else |
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| 124 | |
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| 125 | /* 0.0 */ |
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| 126 | static const unsigned short ezero[NE] = { |
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| 127 | 0, 0000000, 0000000, 0000000, 0000000, 0000000, |
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| 128 | }; |
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| 129 | |
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| 130 | /* 1.0E0 */ |
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| 131 | static const unsigned short eone[NE] = { |
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| 132 | 0, 0000000, 0000000, 0000000, 0100000, 0x3fff, |
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| 133 | }; |
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| 134 | |
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| 135 | #endif |
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| 136 | |
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| 137 | /* Debugging routine for displaying errors */ |
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| 138 | #ifdef DEBUG |
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| 139 | /* Notice: the order of appearance of the following |
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| 140 | * messages is bound to the error codes defined |
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| 141 | * in mconf.h. |
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| 142 | */ |
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| 143 | static const char *const ermsg[7] = { |
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| 144 | "unknown", /* error code 0 */ |
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| 145 | "domain", /* error code 1 */ |
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| 146 | "singularity", /* et seq. */ |
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| 147 | "overflow", |
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| 148 | "underflow", |
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| 149 | "total loss of precision", |
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| 150 | "partial loss of precision" |
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| 151 | }; |
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| 152 | |
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| 153 | #define mtherr(name, code) printf( "\n%s %s error\n", name, ermsg[code] ); |
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| 154 | #else |
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| 155 | #define mtherr(name, code) |
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| 156 | #endif |
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| 157 | |
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| 158 | /* ieee.c |
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| 159 | * |
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| 160 | * Extended precision IEEE binary floating point arithmetic routines |
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| 161 | * |
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| 162 | * Numbers are stored in C language as arrays of 16-bit unsigned |
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| 163 | * short integers. The arguments of the routines are pointers to |
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| 164 | * the arrays. |
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| 165 | * |
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| 166 | * |
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| 167 | * External e type data structure, simulates Intel 8087 chip |
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| 168 | * temporary real format but possibly with a larger significand: |
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| 169 | * |
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| 170 | * NE-1 significand words (least significant word first, |
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| 171 | * most significant bit is normally set) |
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| 172 | * exponent (value = EXONE for 1.0, |
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| 173 | * top bit is the sign) |
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| 174 | * |
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| 175 | * |
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| 176 | * Internal data structure of a number (a "word" is 16 bits): |
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| 177 | * |
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| 178 | * ei[0] sign word (0 for positive, 0xffff for negative) |
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| 179 | * ei[1] biased exponent (value = EXONE for the number 1.0) |
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| 180 | * ei[2] high guard word (always zero after normalization) |
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| 181 | * ei[3] |
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| 182 | * to ei[NI-2] significand (NI-4 significand words, |
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| 183 | * most significant word first, |
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| 184 | * most significant bit is set) |
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| 185 | * ei[NI-1] low guard word (0x8000 bit is rounding place) |
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| 186 | * |
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| 187 | * |
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| 188 | * |
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| 189 | * Routines for external format numbers |
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| 190 | * |
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| 191 | * asctoe( string, e ) ASCII string to extended double e type |
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| 192 | * asctoe64( string, &d ) ASCII string to long double |
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| 193 | * asctoe53( string, &d ) ASCII string to double |
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| 194 | * asctoe24( string, &f ) ASCII string to single |
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| 195 | * asctoeg( string, e, prec, ldp ) ASCII string to specified precision |
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| 196 | * e24toe( &f, e, ldp ) IEEE single precision to e type |
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| 197 | * e53toe( &d, e, ldp ) IEEE double precision to e type |
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| 198 | * e64toe( &d, e, ldp ) IEEE long double precision to e type |
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| 199 | * e113toe( &d, e, ldp ) IEEE long double precision to e type |
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| 200 | * eabs(e) absolute value |
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| 201 | * eadd( a, b, c ) c = b + a |
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| 202 | * eclear(e) e = 0 |
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| 203 | * ecmp (a, b) Returns 1 if a > b, 0 if a == b, |
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| 204 | * -1 if a < b, -2 if either a or b is a NaN. |
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| 205 | * ediv( a, b, c, ldp ) c = b / a |
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| 206 | * efloor( a, b, ldp ) truncate to integer, toward -infinity |
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| 207 | * efrexp( a, exp, s ) extract exponent and significand |
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| 208 | * eifrac( e, &l, frac ) e to long integer and e type fraction |
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| 209 | * euifrac( e, &l, frac ) e to unsigned long integer and e type fraction |
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| 210 | * einfin( e, ldp ) set e to infinity, leaving its sign alone |
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| 211 | * eldexp( a, n, b ) multiply by 2**n |
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| 212 | * emov( a, b ) b = a |
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| 213 | * emul( a, b, c, ldp ) c = b * a |
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| 214 | * eneg(e) e = -e |
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| 215 | * eround( a, b ) b = nearest integer value to a |
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| 216 | * esub( a, b, c, ldp ) c = b - a |
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| 217 | * e24toasc( &f, str, n ) single to ASCII string, n digits after decimal |
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| 218 | * e53toasc( &d, str, n ) double to ASCII string, n digits after decimal |
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| 219 | * e64toasc( &d, str, n ) long double to ASCII string |
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| 220 | * etoasc(e,str,n,fmt,ldp)e to ASCII string, n digits after decimal |
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| 221 | * etoe24( e, &f ) convert e type to IEEE single precision |
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| 222 | * etoe53( e, &d ) convert e type to IEEE double precision |
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| 223 | * etoe64( e, &d ) convert e type to IEEE long double precision |
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| 224 | * ltoe( &l, e ) long (32 bit) integer to e type |
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| 225 | * ultoe( &l, e ) unsigned long (32 bit) integer to e type |
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| 226 | * eisneg( e ) 1 if sign bit of e != 0, else 0 |
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| 227 | * eisinf( e ) 1 if e has maximum exponent (non-IEEE) |
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| 228 | * or is infinite (IEEE) |
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| 229 | * eisnan( e ) 1 if e is a NaN |
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| 230 | * esqrt( a, b ) b = square root of a |
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| 231 | * |
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| 232 | * |
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| 233 | * Routines for internal format numbers |
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| 234 | * |
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| 235 | * eaddm( ai, bi ) add significands, bi = bi + ai |
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| 236 | * ecleaz(ei) ei = 0 |
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| 237 | * ecleazs(ei) set ei = 0 but leave its sign alone |
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| 238 | * ecmpm( ai, bi ) compare significands, return 1, 0, or -1 |
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| 239 | * edivm( ai, bi, ldp ) divide significands, bi = bi / ai |
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| 240 | * emdnorm(ai,l,s,exp,ldp) normalize and round off |
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| 241 | * emovi( a, ai ) convert external a to internal ai |
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| 242 | * emovo( ai, a, ldp ) convert internal ai to external a |
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| 243 | * emovz( ai, bi ) bi = ai, low guard word of bi = 0 |
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| 244 | * emulm( ai, bi, ldp ) multiply significands, bi = bi * ai |
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| 245 | * enormlz(ei) left-justify the significand |
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| 246 | * eshdn1( ai ) shift significand and guards down 1 bit |
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| 247 | * eshdn8( ai ) shift down 8 bits |
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| 248 | * eshdn6( ai ) shift down 16 bits |
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| 249 | * eshift( ai, n ) shift ai n bits up (or down if n < 0) |
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| 250 | * eshup1( ai ) shift significand and guards up 1 bit |
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| 251 | * eshup8( ai ) shift up 8 bits |
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| 252 | * eshup6( ai ) shift up 16 bits |
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| 253 | * esubm( ai, bi ) subtract significands, bi = bi - ai |
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| 254 | * |
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| 255 | * |
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| 256 | * The result is always normalized and rounded to NI-4 word precision |
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| 257 | * after each arithmetic operation. |
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| 258 | * |
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| 259 | * Exception flags are NOT fully supported. |
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| 260 | * |
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| 261 | * Define USE_INFINITY in mconf.h for support of infinity; otherwise a |
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| 262 | * saturation arithmetic is implemented. |
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| 263 | * |
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| 264 | * Define NANS for support of Not-a-Number items; otherwise the |
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| 265 | * arithmetic will never produce a NaN output, and might be confused |
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| 266 | * by a NaN input. |
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| 267 | * If NaN's are supported, the output of ecmp(a,b) is -2 if |
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| 268 | * either a or b is a NaN. This means asking if(ecmp(a,b) < 0) |
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| 269 | * may not be legitimate. Use if(ecmp(a,b) == -1) for less-than |
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| 270 | * if in doubt. |
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| 271 | * Signaling NaN's are NOT supported; they are treated the same |
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| 272 | * as quiet NaN's. |
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| 273 | * |
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| 274 | * Denormals are always supported here where appropriate (e.g., not |
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| 275 | * for conversion to DEC numbers). |
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| 276 | */ |
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| 277 | |
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| 278 | /* |
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| 279 | * Revision history: |
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| 280 | * |
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| 281 | * 5 Jan 84 PDP-11 assembly language version |
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| 282 | * 6 Dec 86 C language version |
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| 283 | * 30 Aug 88 100 digit version, improved rounding |
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| 284 | * 15 May 92 80-bit long double support |
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| 285 | * 22 Nov 00 Revised to fit into newlib by Jeff Johnston <jjohnstn@redhat.com> |
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| 286 | * |
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| 287 | * Author: S. L. Moshier. |
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| 288 | * |
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| 289 | * Copyright (c) 1984,2000 S.L. Moshier |
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| 290 | * |
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| 291 | * Permission to use, copy, modify, and distribute this software for any |
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| 292 | * purpose without fee is hereby granted, provided that this entire notice |
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| 293 | * is included in all copies of any software which is or includes a copy |
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| 294 | * or modification of this software and in all copies of the supporting |
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| 295 | * documentation for such software. |
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| 296 | * |
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| 297 | * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED |
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| 298 | * WARRANTY. IN PARTICULAR, THE AUTHOR MAKES NO REPRESENTATION |
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| 299 | * OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY OF THIS |
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| 300 | * SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. |
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| 301 | * |
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| 302 | */ |
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| 303 | |
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| 304 | #include <stdio.h> |
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| 305 | /* #include "\usr\include\stdio.h" */ |
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| 306 | /*#include "ehead.h"*/ |
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| 307 | /*#include "mconf.h"*/ |
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| 308 | /* mconf.h |
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| 309 | * |
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| 310 | * Common include file for math routines |
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| 311 | * |
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| 312 | * |
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| 313 | * |
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| 314 | * SYNOPSIS: |
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| 315 | * |
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| 316 | * #include "mconf.h" |
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| 317 | * |
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| 318 | * |
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| 319 | * |
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| 320 | * DESCRIPTION: |
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| 321 | * |
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| 322 | * This file contains definitions for error codes that are |
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| 323 | * passed to the common error handling routine mtherr() |
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| 324 | * (which see). |
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| 325 | * |
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| 326 | * The file also includes a conditional assembly definition |
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| 327 | * for the type of computer arithmetic (IEEE, DEC, Motorola |
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| 328 | * IEEE, or UNKnown). |
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| 329 | * |
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| 330 | * For Digital Equipment PDP-11 and VAX computers, certain |
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| 331 | * IBM systems, and others that use numbers with a 56-bit |
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| 332 | * significand, the symbol DEC should be defined. In this |
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| 333 | * mode, most floating point constants are given as arrays |
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| 334 | * of octal integers to eliminate decimal to binary conversion |
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| 335 | * errors that might be introduced by the compiler. |
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| 336 | * |
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| 337 | * For computers, such as IBM PC, that follow the IEEE |
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| 338 | * Standard for Binary Floating Point Arithmetic (ANSI/IEEE |
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| 339 | * Std 754-1985), the symbol IBMPC should be defined. These |
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| 340 | * numbers have 53-bit significands. In this mode, constants |
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| 341 | * are provided as arrays of hexadecimal 16 bit integers. |
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| 342 | * |
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| 343 | * To accommodate other types of computer arithmetic, all |
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| 344 | * constants are also provided in a normal decimal radix |
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| 345 | * which one can hope are correctly converted to a suitable |
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| 346 | * format by the available C language compiler. To invoke |
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| 347 | * this mode, the symbol UNK is defined. |
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| 348 | * |
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| 349 | * An important difference among these modes is a predefined |
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| 350 | * set of machine arithmetic constants for each. The numbers |
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| 351 | * MACHEP (the machine roundoff error), MAXNUM (largest number |
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| 352 | * represented), and several other parameters are preset by |
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| 353 | * the configuration symbol. Check the file const.c to |
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| 354 | * ensure that these values are correct for your computer. |
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| 355 | * |
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| 356 | * For ANSI C compatibility, define ANSIC equal to 1. Currently |
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| 357 | * this affects only the atan2() function and others that use it. |
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| 358 | */ |
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| 359 | |
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| 360 | /* Constant definitions for math error conditions |
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| 361 | */ |
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| 362 | |
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| 363 | #define DOMAIN 1 /* argument domain error */ |
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| 364 | #define SING 2 /* argument singularity */ |
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| 365 | #define OVERFLOW 3 /* overflow range error */ |
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| 366 | #define UNDERFLOW 4 /* underflow range error */ |
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| 367 | #define TLOSS 5 /* total loss of precision */ |
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| 368 | #define PLOSS 6 /* partial loss of precision */ |
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| 369 | |
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| 370 | #define EDOM 33 |
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| 371 | #define ERANGE 34 |
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| 372 | |
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| 373 | typedef struct |
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| 374 | { |
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| 375 | double r; |
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| 376 | double i; |
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| 377 | } cmplx; |
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| 378 | |
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| 379 | /* Type of computer arithmetic */ |
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| 380 | |
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| 381 | #ifndef DEC |
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| 382 | #ifdef __IEEE_LITTLE_ENDIAN |
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| 383 | #define IBMPC 1 |
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| 384 | #else /* !__IEEE_LITTLE_ENDIAN */ |
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| 385 | #define MIEEE 1 |
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| 386 | #endif /* !__IEEE_LITTLE_ENDIAN */ |
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| 387 | #endif /* !DEC */ |
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| 388 | |
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| 389 | /* Define 1 for ANSI C atan2() function |
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| 390 | * See atan.c and clog.c. |
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| 391 | */ |
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| 392 | #define ANSIC 1 |
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| 393 | |
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| 394 | /*define VOLATILE volatile*/ |
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| 395 | #define VOLATILE |
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| 396 | |
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| 397 | #define NANS |
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| 398 | #define USE_INFINITY |
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| 399 | |
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| 400 | /* NaN's require infinity support. */ |
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| 401 | #ifdef NANS |
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| 402 | #ifndef INFINITY |
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| 403 | #define USE_INFINITY |
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| 404 | #endif |
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| 405 | #endif |
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| 406 | |
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| 407 | /* This handles 64-bit long ints. */ |
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| 408 | #define LONGBITS (8 * sizeof(long)) |
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| 409 | |
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| 410 | |
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| 411 | static void eaddm (short unsigned int *x, short unsigned int *y); |
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| 412 | static void esubm (short unsigned int *x, short unsigned int *y); |
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| 413 | static void emdnorm (short unsigned int *s, int lost, int subflg, |
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| 414 | long int exp, int rcntrl, LDPARMS * ldp); |
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| 415 | static int asctoeg (char *ss, short unsigned int *y, int oprec, |
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| 416 | LDPARMS * ldp); |
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| 417 | static void enan (short unsigned int *nan, int size); |
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| 418 | #if LDBL_MANT_DIG == 24 |
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| 419 | static void toe24 (short unsigned int *x, short unsigned int *y); |
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| 420 | #elif LDBL_MANT_DIG == 53 |
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| 421 | static void toe53 (short unsigned int *x, short unsigned int *y); |
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| 422 | #elif LDBL_MANT_DIG == 64 |
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| 423 | static void toe64 (short unsigned int *a, short unsigned int *b); |
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| 424 | #else |
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| 425 | static void toe113 (short unsigned int *a, short unsigned int *b); |
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| 426 | #endif |
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| 427 | static void eiremain (short unsigned int *den, short unsigned int *num, |
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| 428 | LDPARMS * ldp); |
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| 429 | static int ecmpm (register short unsigned int *a, |
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| 430 | register short unsigned int *b); |
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| 431 | static int edivm (short unsigned int *den, short unsigned int *num, |
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| 432 | LDPARMS * ldp); |
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| 433 | static int emulm (short unsigned int *a, short unsigned int *b, |
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| 434 | LDPARMS * ldp); |
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| 435 | static int eisneg (const short unsigned int *x); |
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| 436 | static int eisinf (const short unsigned int *x); |
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| 437 | static void emovi (const short unsigned int *a, short unsigned int *b); |
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| 438 | static void emovo (short unsigned int *a, short unsigned int *b, |
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| 439 | LDPARMS * ldp); |
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| 440 | static void emovz (register short unsigned int *a, |
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| 441 | register short unsigned int *b); |
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| 442 | static void ecleaz (register short unsigned int *xi); |
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| 443 | static void eadd1 (const short unsigned int *a, const short unsigned int *b, |
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| 444 | short unsigned int *c, int subflg, LDPARMS * ldp); |
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| 445 | static int eisnan (const short unsigned int *x); |
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| 446 | static int eiisnan (short unsigned int *x); |
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| 447 | |
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| 448 | #ifdef DEC |
---|
| 449 | static void etodec (), todec (), dectoe (); |
---|
| 450 | #endif |
---|
| 451 | |
---|
| 452 | /* |
---|
| 453 | ; Clear out entire external format number. |
---|
| 454 | ; |
---|
| 455 | ; unsigned short x[]; |
---|
| 456 | ; eclear( x ); |
---|
| 457 | */ |
---|
| 458 | |
---|
| 459 | static void |
---|
| 460 | eclear (register short unsigned int *x) |
---|
| 461 | { |
---|
| 462 | register int i; |
---|
| 463 | |
---|
| 464 | for (i = 0; i < NE; i++) |
---|
| 465 | *x++ = 0; |
---|
| 466 | } |
---|
| 467 | |
---|
| 468 | |
---|
| 469 | |
---|
| 470 | /* Move external format number from a to b. |
---|
| 471 | * |
---|
| 472 | * emov( a, b ); |
---|
| 473 | */ |
---|
| 474 | |
---|
| 475 | static void |
---|
| 476 | emov (register const short unsigned int *a, register short unsigned int *b) |
---|
| 477 | { |
---|
| 478 | register int i; |
---|
| 479 | |
---|
| 480 | for (i = 0; i < NE; i++) |
---|
| 481 | *b++ = *a++; |
---|
| 482 | } |
---|
| 483 | |
---|
| 484 | |
---|
| 485 | /* |
---|
| 486 | ; Negate external format number |
---|
| 487 | ; |
---|
| 488 | ; unsigned short x[NE]; |
---|
| 489 | ; eneg( x ); |
---|
| 490 | */ |
---|
| 491 | |
---|
| 492 | static void |
---|
| 493 | eneg (short unsigned int *x) |
---|
| 494 | { |
---|
| 495 | |
---|
| 496 | #ifdef NANS |
---|
| 497 | if (eisnan (x)) |
---|
| 498 | return; |
---|
| 499 | #endif |
---|
| 500 | x[NE - 1] ^= 0x8000; /* Toggle the sign bit */ |
---|
| 501 | } |
---|
| 502 | |
---|
| 503 | |
---|
| 504 | |
---|
| 505 | /* Return 1 if external format number is negative, |
---|
| 506 | * else return zero. |
---|
| 507 | */ |
---|
| 508 | static int |
---|
| 509 | eisneg (const short unsigned int *x) |
---|
| 510 | { |
---|
| 511 | |
---|
| 512 | #ifdef NANS |
---|
| 513 | if (eisnan (x)) |
---|
| 514 | return (0); |
---|
| 515 | #endif |
---|
| 516 | if (x[NE - 1] & 0x8000) |
---|
| 517 | return (1); |
---|
| 518 | else |
---|
| 519 | return (0); |
---|
| 520 | } |
---|
| 521 | |
---|
| 522 | |
---|
| 523 | /* Return 1 if external format number has maximum possible exponent, |
---|
| 524 | * else return zero. |
---|
| 525 | */ |
---|
| 526 | static int |
---|
| 527 | eisinf (const short unsigned int *x) |
---|
| 528 | { |
---|
| 529 | |
---|
| 530 | if ((x[NE - 1] & 0x7fff) == 0x7fff) |
---|
| 531 | { |
---|
| 532 | #ifdef NANS |
---|
| 533 | if (eisnan (x)) |
---|
| 534 | return (0); |
---|
| 535 | #endif |
---|
| 536 | return (1); |
---|
| 537 | } |
---|
| 538 | else |
---|
| 539 | return (0); |
---|
| 540 | } |
---|
| 541 | |
---|
| 542 | /* Check if e-type number is not a number. |
---|
| 543 | */ |
---|
| 544 | static int |
---|
| 545 | eisnan (const short unsigned int *x) |
---|
| 546 | { |
---|
| 547 | |
---|
| 548 | #ifdef NANS |
---|
| 549 | int i; |
---|
| 550 | /* NaN has maximum exponent */ |
---|
| 551 | if ((x[NE - 1] & 0x7fff) != 0x7fff) |
---|
| 552 | return (0); |
---|
| 553 | /* ... and non-zero significand field. */ |
---|
| 554 | for (i = 0; i < NE - 1; i++) |
---|
| 555 | { |
---|
| 556 | if (*x++ != 0) |
---|
| 557 | return (1); |
---|
| 558 | } |
---|
| 559 | #endif |
---|
| 560 | return (0); |
---|
| 561 | } |
---|
| 562 | |
---|
| 563 | /* |
---|
| 564 | ; Fill entire number, including exponent and significand, with |
---|
| 565 | ; largest possible number. These programs implement a saturation |
---|
| 566 | ; value that is an ordinary, legal number. A special value |
---|
| 567 | ; "infinity" may also be implemented; this would require tests |
---|
| 568 | ; for that value and implementation of special rules for arithmetic |
---|
| 569 | ; operations involving inifinity. |
---|
| 570 | */ |
---|
| 571 | |
---|
| 572 | static void |
---|
| 573 | einfin (register short unsigned int *x, register LDPARMS * ldp) |
---|
| 574 | { |
---|
| 575 | register int i; |
---|
| 576 | |
---|
| 577 | #ifdef USE_INFINITY |
---|
| 578 | for (i = 0; i < NE - 1; i++) |
---|
| 579 | *x++ = 0; |
---|
| 580 | *x |= 32767; |
---|
| 581 | ldp = ldp; |
---|
| 582 | #else |
---|
| 583 | for (i = 0; i < NE - 1; i++) |
---|
| 584 | *x++ = 0xffff; |
---|
| 585 | *x |= 32766; |
---|
| 586 | if (ldp->rndprc < NBITS) |
---|
| 587 | { |
---|
| 588 | if (ldp->rndprc == 113) |
---|
| 589 | { |
---|
| 590 | *(x - 9) = 0; |
---|
| 591 | *(x - 8) = 0; |
---|
| 592 | } |
---|
| 593 | if (ldp->rndprc == 64) |
---|
| 594 | { |
---|
| 595 | *(x - 5) = 0; |
---|
| 596 | } |
---|
| 597 | if (ldp->rndprc == 53) |
---|
| 598 | { |
---|
| 599 | *(x - 4) = 0xf800; |
---|
| 600 | } |
---|
| 601 | else |
---|
| 602 | { |
---|
| 603 | *(x - 4) = 0; |
---|
| 604 | *(x - 3) = 0; |
---|
| 605 | *(x - 2) = 0xff00; |
---|
| 606 | } |
---|
| 607 | } |
---|
| 608 | #endif |
---|
| 609 | } |
---|
| 610 | |
---|
| 611 | /* Move in external format number, |
---|
| 612 | * converting it to internal format. |
---|
| 613 | */ |
---|
| 614 | static void |
---|
| 615 | emovi (const short unsigned int *a, short unsigned int *b) |
---|
| 616 | { |
---|
| 617 | register const unsigned short *p; |
---|
| 618 | register unsigned short *q; |
---|
| 619 | int i; |
---|
| 620 | |
---|
| 621 | q = b; |
---|
| 622 | p = a + (NE - 1); /* point to last word of external number */ |
---|
| 623 | /* get the sign bit */ |
---|
| 624 | if (*p & 0x8000) |
---|
| 625 | *q++ = 0xffff; |
---|
| 626 | else |
---|
| 627 | *q++ = 0; |
---|
| 628 | /* get the exponent */ |
---|
| 629 | *q = *p--; |
---|
| 630 | *q++ &= 0x7fff; /* delete the sign bit */ |
---|
| 631 | #ifdef USE_INFINITY |
---|
| 632 | if ((*(q - 1) & 0x7fff) == 0x7fff) |
---|
| 633 | { |
---|
| 634 | #ifdef NANS |
---|
| 635 | if (eisnan (a)) |
---|
| 636 | { |
---|
| 637 | *q++ = 0; |
---|
| 638 | for (i = 3; i < NI; i++) |
---|
| 639 | *q++ = *p--; |
---|
| 640 | return; |
---|
| 641 | } |
---|
| 642 | #endif |
---|
| 643 | for (i = 2; i < NI; i++) |
---|
| 644 | *q++ = 0; |
---|
| 645 | return; |
---|
| 646 | } |
---|
| 647 | #endif |
---|
| 648 | /* clear high guard word */ |
---|
| 649 | *q++ = 0; |
---|
| 650 | /* move in the significand */ |
---|
| 651 | for (i = 0; i < NE - 1; i++) |
---|
| 652 | *q++ = *p--; |
---|
| 653 | /* clear low guard word */ |
---|
| 654 | *q = 0; |
---|
| 655 | } |
---|
| 656 | |
---|
| 657 | |
---|
| 658 | /* Move internal format number out, |
---|
| 659 | * converting it to external format. |
---|
| 660 | */ |
---|
| 661 | static void |
---|
| 662 | emovo (short unsigned int *a, short unsigned int *b, LDPARMS * ldp) |
---|
| 663 | { |
---|
| 664 | register unsigned short *p, *q; |
---|
| 665 | unsigned short i; |
---|
| 666 | |
---|
| 667 | p = a; |
---|
| 668 | q = b + (NE - 1); /* point to output exponent */ |
---|
| 669 | /* combine sign and exponent */ |
---|
| 670 | i = *p++; |
---|
| 671 | if (i) |
---|
| 672 | *q-- = *p++ | 0x8000; |
---|
| 673 | else |
---|
| 674 | *q-- = *p++; |
---|
| 675 | #ifdef USE_INFINITY |
---|
| 676 | if (*(p - 1) == 0x7fff) |
---|
| 677 | { |
---|
| 678 | #ifdef NANS |
---|
| 679 | if (eiisnan (a)) |
---|
| 680 | { |
---|
| 681 | enan (b, NBITS); |
---|
| 682 | return; |
---|
| 683 | } |
---|
| 684 | #endif |
---|
| 685 | einfin (b, ldp); |
---|
| 686 | return; |
---|
| 687 | } |
---|
| 688 | #endif |
---|
| 689 | /* skip over guard word */ |
---|
| 690 | ++p; |
---|
| 691 | /* move the significand */ |
---|
| 692 | for (i = 0; i < NE - 1; i++) |
---|
| 693 | *q-- = *p++; |
---|
| 694 | } |
---|
| 695 | |
---|
| 696 | |
---|
| 697 | /* Clear out internal format number. |
---|
| 698 | */ |
---|
| 699 | |
---|
| 700 | static void |
---|
| 701 | ecleaz (register short unsigned int *xi) |
---|
| 702 | { |
---|
| 703 | register int i; |
---|
| 704 | |
---|
| 705 | for (i = 0; i < NI; i++) |
---|
| 706 | *xi++ = 0; |
---|
| 707 | } |
---|
| 708 | |
---|
| 709 | /* same, but don't touch the sign. */ |
---|
| 710 | |
---|
| 711 | static void |
---|
| 712 | ecleazs (register short unsigned int *xi) |
---|
| 713 | { |
---|
| 714 | register int i; |
---|
| 715 | |
---|
| 716 | ++xi; |
---|
| 717 | for (i = 0; i < NI - 1; i++) |
---|
| 718 | *xi++ = 0; |
---|
| 719 | } |
---|
| 720 | |
---|
| 721 | |
---|
| 722 | |
---|
| 723 | |
---|
| 724 | /* Move internal format number from a to b. |
---|
| 725 | */ |
---|
| 726 | static void |
---|
| 727 | emovz (register short unsigned int *a, register short unsigned int *b) |
---|
| 728 | { |
---|
| 729 | register int i; |
---|
| 730 | |
---|
| 731 | for (i = 0; i < NI - 1; i++) |
---|
| 732 | *b++ = *a++; |
---|
| 733 | /* clear low guard word */ |
---|
| 734 | *b = 0; |
---|
| 735 | } |
---|
| 736 | |
---|
| 737 | /* Return nonzero if internal format number is a NaN. |
---|
| 738 | */ |
---|
| 739 | |
---|
| 740 | static int |
---|
| 741 | eiisnan (short unsigned int *x) |
---|
| 742 | { |
---|
| 743 | int i; |
---|
| 744 | |
---|
| 745 | if ((x[E] & 0x7fff) == 0x7fff) |
---|
| 746 | { |
---|
| 747 | for (i = M + 1; i < NI; i++) |
---|
| 748 | { |
---|
| 749 | if (x[i] != 0) |
---|
| 750 | return (1); |
---|
| 751 | } |
---|
| 752 | } |
---|
| 753 | return (0); |
---|
| 754 | } |
---|
| 755 | |
---|
| 756 | #if LDBL_MANT_DIG == 64 |
---|
| 757 | |
---|
| 758 | /* Return nonzero if internal format number is infinite. */ |
---|
| 759 | static int |
---|
| 760 | eiisinf (unsigned short x[]) |
---|
| 761 | { |
---|
| 762 | |
---|
| 763 | #ifdef NANS |
---|
| 764 | if (eiisnan (x)) |
---|
| 765 | return (0); |
---|
| 766 | #endif |
---|
| 767 | if ((x[E] & 0x7fff) == 0x7fff) |
---|
| 768 | return (1); |
---|
| 769 | return (0); |
---|
| 770 | } |
---|
| 771 | #endif /* LDBL_MANT_DIG == 64 */ |
---|
| 772 | |
---|
| 773 | /* |
---|
| 774 | ; Compare significands of numbers in internal format. |
---|
| 775 | ; Guard words are included in the comparison. |
---|
| 776 | ; |
---|
| 777 | ; unsigned short a[NI], b[NI]; |
---|
| 778 | ; cmpm( a, b ); |
---|
| 779 | ; |
---|
| 780 | ; for the significands: |
---|
| 781 | ; returns +1 if a > b |
---|
| 782 | ; 0 if a == b |
---|
| 783 | ; -1 if a < b |
---|
| 784 | */ |
---|
| 785 | static int |
---|
| 786 | ecmpm (register short unsigned int *a, register short unsigned int *b) |
---|
| 787 | { |
---|
| 788 | int i; |
---|
| 789 | |
---|
| 790 | a += M; /* skip up to significand area */ |
---|
| 791 | b += M; |
---|
| 792 | for (i = M; i < NI; i++) |
---|
| 793 | { |
---|
| 794 | if (*a++ != *b++) |
---|
| 795 | goto difrnt; |
---|
| 796 | } |
---|
| 797 | return (0); |
---|
| 798 | |
---|
| 799 | difrnt: |
---|
| 800 | if (*(--a) > *(--b)) |
---|
| 801 | return (1); |
---|
| 802 | else |
---|
| 803 | return (-1); |
---|
| 804 | } |
---|
| 805 | |
---|
| 806 | |
---|
| 807 | /* |
---|
| 808 | ; Shift significand down by 1 bit |
---|
| 809 | */ |
---|
| 810 | |
---|
| 811 | static void |
---|
| 812 | eshdn1 (register short unsigned int *x) |
---|
| 813 | { |
---|
| 814 | register unsigned short bits; |
---|
| 815 | int i; |
---|
| 816 | |
---|
| 817 | x += M; /* point to significand area */ |
---|
| 818 | |
---|
| 819 | bits = 0; |
---|
| 820 | for (i = M; i < NI; i++) |
---|
| 821 | { |
---|
| 822 | if (*x & 1) |
---|
| 823 | bits |= 1; |
---|
| 824 | *x >>= 1; |
---|
| 825 | if (bits & 2) |
---|
| 826 | *x |= 0x8000; |
---|
| 827 | bits <<= 1; |
---|
| 828 | ++x; |
---|
| 829 | } |
---|
| 830 | } |
---|
| 831 | |
---|
| 832 | |
---|
| 833 | |
---|
| 834 | /* |
---|
| 835 | ; Shift significand up by 1 bit |
---|
| 836 | */ |
---|
| 837 | |
---|
| 838 | static void |
---|
| 839 | eshup1 (register short unsigned int *x) |
---|
| 840 | { |
---|
| 841 | register unsigned short bits; |
---|
| 842 | int i; |
---|
| 843 | |
---|
| 844 | x += NI - 1; |
---|
| 845 | bits = 0; |
---|
| 846 | |
---|
| 847 | for (i = M; i < NI; i++) |
---|
| 848 | { |
---|
| 849 | if (*x & 0x8000) |
---|
| 850 | bits |= 1; |
---|
| 851 | *x <<= 1; |
---|
| 852 | if (bits & 2) |
---|
| 853 | *x |= 1; |
---|
| 854 | bits <<= 1; |
---|
| 855 | --x; |
---|
| 856 | } |
---|
| 857 | } |
---|
| 858 | |
---|
| 859 | |
---|
| 860 | |
---|
| 861 | /* |
---|
| 862 | ; Shift significand down by 8 bits |
---|
| 863 | */ |
---|
| 864 | |
---|
| 865 | static void |
---|
| 866 | eshdn8 (register short unsigned int *x) |
---|
| 867 | { |
---|
| 868 | register unsigned short newbyt, oldbyt; |
---|
| 869 | int i; |
---|
| 870 | |
---|
| 871 | x += M; |
---|
| 872 | oldbyt = 0; |
---|
| 873 | for (i = M; i < NI; i++) |
---|
| 874 | { |
---|
| 875 | newbyt = *x << 8; |
---|
| 876 | *x >>= 8; |
---|
| 877 | *x |= oldbyt; |
---|
| 878 | oldbyt = newbyt; |
---|
| 879 | ++x; |
---|
| 880 | } |
---|
| 881 | } |
---|
| 882 | |
---|
| 883 | /* |
---|
| 884 | ; Shift significand up by 8 bits |
---|
| 885 | */ |
---|
| 886 | |
---|
| 887 | static void |
---|
| 888 | eshup8 (register short unsigned int *x) |
---|
| 889 | { |
---|
| 890 | int i; |
---|
| 891 | register unsigned short newbyt, oldbyt; |
---|
| 892 | |
---|
| 893 | x += NI - 1; |
---|
| 894 | oldbyt = 0; |
---|
| 895 | |
---|
| 896 | for (i = M; i < NI; i++) |
---|
| 897 | { |
---|
| 898 | newbyt = *x >> 8; |
---|
| 899 | *x <<= 8; |
---|
| 900 | *x |= oldbyt; |
---|
| 901 | oldbyt = newbyt; |
---|
| 902 | --x; |
---|
| 903 | } |
---|
| 904 | } |
---|
| 905 | |
---|
| 906 | /* |
---|
| 907 | ; Shift significand up by 16 bits |
---|
| 908 | */ |
---|
| 909 | |
---|
| 910 | static void |
---|
| 911 | eshup6 (register short unsigned int *x) |
---|
| 912 | { |
---|
| 913 | int i; |
---|
| 914 | register unsigned short *p; |
---|
| 915 | |
---|
| 916 | p = x + M; |
---|
| 917 | x += M + 1; |
---|
| 918 | |
---|
| 919 | for (i = M; i < NI - 1; i++) |
---|
| 920 | *p++ = *x++; |
---|
| 921 | |
---|
| 922 | *p = 0; |
---|
| 923 | } |
---|
| 924 | |
---|
| 925 | /* |
---|
| 926 | ; Shift significand down by 16 bits |
---|
| 927 | */ |
---|
| 928 | |
---|
| 929 | static void |
---|
| 930 | eshdn6 (register short unsigned int *x) |
---|
| 931 | { |
---|
| 932 | int i; |
---|
| 933 | register unsigned short *p; |
---|
| 934 | |
---|
| 935 | x += NI - 1; |
---|
| 936 | p = x + 1; |
---|
| 937 | |
---|
| 938 | for (i = M; i < NI - 1; i++) |
---|
| 939 | *(--p) = *(--x); |
---|
| 940 | |
---|
| 941 | *(--p) = 0; |
---|
| 942 | } |
---|
| 943 | |
---|
| 944 | /* |
---|
| 945 | ; Add significands |
---|
| 946 | ; x + y replaces y |
---|
| 947 | */ |
---|
| 948 | |
---|
| 949 | static void |
---|
| 950 | eaddm (short unsigned int *x, short unsigned int *y) |
---|
| 951 | { |
---|
| 952 | register unsigned long a; |
---|
| 953 | int i; |
---|
| 954 | unsigned int carry; |
---|
| 955 | |
---|
| 956 | x += NI - 1; |
---|
| 957 | y += NI - 1; |
---|
| 958 | carry = 0; |
---|
| 959 | for (i = M; i < NI; i++) |
---|
| 960 | { |
---|
| 961 | a = (unsigned long) (*x) + (unsigned long) (*y) + carry; |
---|
| 962 | if (a & 0x10000) |
---|
| 963 | carry = 1; |
---|
| 964 | else |
---|
| 965 | carry = 0; |
---|
| 966 | *y = (unsigned short) a; |
---|
| 967 | --x; |
---|
| 968 | --y; |
---|
| 969 | } |
---|
| 970 | } |
---|
| 971 | |
---|
| 972 | /* |
---|
| 973 | ; Subtract significands |
---|
| 974 | ; y - x replaces y |
---|
| 975 | */ |
---|
| 976 | |
---|
| 977 | static void |
---|
| 978 | esubm (short unsigned int *x, short unsigned int *y) |
---|
| 979 | { |
---|
| 980 | unsigned long a; |
---|
| 981 | int i; |
---|
| 982 | unsigned int carry; |
---|
| 983 | |
---|
| 984 | x += NI - 1; |
---|
| 985 | y += NI - 1; |
---|
| 986 | carry = 0; |
---|
| 987 | for (i = M; i < NI; i++) |
---|
| 988 | { |
---|
| 989 | a = (unsigned long) (*y) - (unsigned long) (*x) - carry; |
---|
| 990 | if (a & 0x10000) |
---|
| 991 | carry = 1; |
---|
| 992 | else |
---|
| 993 | carry = 0; |
---|
| 994 | *y = (unsigned short) a; |
---|
| 995 | --x; |
---|
| 996 | --y; |
---|
| 997 | } |
---|
| 998 | } |
---|
| 999 | |
---|
| 1000 | |
---|
| 1001 | /* Divide significands */ |
---|
| 1002 | |
---|
| 1003 | |
---|
| 1004 | /* Multiply significand of e-type number b |
---|
| 1005 | by 16-bit quantity a, e-type result to c. */ |
---|
| 1006 | |
---|
| 1007 | static void |
---|
| 1008 | m16m (short unsigned int a, short unsigned int *b, short unsigned int *c) |
---|
| 1009 | { |
---|
| 1010 | register unsigned short *pp; |
---|
| 1011 | register unsigned long carry; |
---|
| 1012 | unsigned short *ps; |
---|
| 1013 | unsigned short p[NI]; |
---|
| 1014 | unsigned long aa, m; |
---|
| 1015 | int i; |
---|
| 1016 | |
---|
| 1017 | aa = a; |
---|
| 1018 | pp = &p[NI - 2]; |
---|
| 1019 | *pp++ = 0; |
---|
| 1020 | *pp = 0; |
---|
| 1021 | ps = &b[NI - 1]; |
---|
| 1022 | |
---|
| 1023 | for (i = M + 1; i < NI; i++) |
---|
| 1024 | { |
---|
| 1025 | if (*ps == 0) |
---|
| 1026 | { |
---|
| 1027 | --ps; |
---|
| 1028 | --pp; |
---|
| 1029 | *(pp - 1) = 0; |
---|
| 1030 | } |
---|
| 1031 | else |
---|
| 1032 | { |
---|
| 1033 | m = (unsigned long) aa **ps--; |
---|
| 1034 | carry = (m & 0xffff) + *pp; |
---|
| 1035 | *pp-- = (unsigned short) carry; |
---|
| 1036 | carry = (carry >> 16) + (m >> 16) + *pp; |
---|
| 1037 | *pp = (unsigned short) carry; |
---|
| 1038 | *(pp - 1) = carry >> 16; |
---|
| 1039 | } |
---|
| 1040 | } |
---|
| 1041 | for (i = M; i < NI; i++) |
---|
| 1042 | c[i] = p[i]; |
---|
| 1043 | } |
---|
| 1044 | |
---|
| 1045 | |
---|
| 1046 | /* Divide significands. Neither the numerator nor the denominator |
---|
| 1047 | is permitted to have its high guard word nonzero. */ |
---|
| 1048 | |
---|
| 1049 | |
---|
| 1050 | static int |
---|
| 1051 | edivm (short unsigned int *den, short unsigned int *num, LDPARMS * ldp) |
---|
| 1052 | { |
---|
| 1053 | int i; |
---|
| 1054 | register unsigned short *p; |
---|
| 1055 | unsigned long tnum; |
---|
| 1056 | unsigned short j, tdenm, tquot; |
---|
| 1057 | unsigned short tprod[NI + 1]; |
---|
| 1058 | unsigned short *equot = ldp->equot; |
---|
| 1059 | |
---|
| 1060 | p = &equot[0]; |
---|
| 1061 | *p++ = num[0]; |
---|
| 1062 | *p++ = num[1]; |
---|
| 1063 | |
---|
| 1064 | for (i = M; i < NI; i++) |
---|
| 1065 | { |
---|
| 1066 | *p++ = 0; |
---|
| 1067 | } |
---|
| 1068 | eshdn1 (num); |
---|
| 1069 | tdenm = den[M + 1]; |
---|
| 1070 | for (i = M; i < NI; i++) |
---|
| 1071 | { |
---|
| 1072 | /* Find trial quotient digit (the radix is 65536). */ |
---|
| 1073 | tnum = (((unsigned long) num[M]) << 16) + num[M + 1]; |
---|
| 1074 | |
---|
| 1075 | /* Do not execute the divide instruction if it will overflow. */ |
---|
| 1076 | if ((tdenm * 0xffffUL) < tnum) |
---|
| 1077 | tquot = 0xffff; |
---|
| 1078 | else |
---|
| 1079 | tquot = tnum / tdenm; |
---|
| 1080 | |
---|
| 1081 | /* Prove that the divide worked. */ |
---|
| 1082 | /* |
---|
| 1083 | tcheck = (unsigned long )tquot * tdenm; |
---|
| 1084 | if( tnum - tcheck > tdenm ) |
---|
| 1085 | tquot = 0xffff; |
---|
| 1086 | */ |
---|
| 1087 | /* Multiply denominator by trial quotient digit. */ |
---|
| 1088 | m16m (tquot, den, tprod); |
---|
| 1089 | /* The quotient digit may have been overestimated. */ |
---|
| 1090 | if (ecmpm (tprod, num) > 0) |
---|
| 1091 | { |
---|
| 1092 | tquot -= 1; |
---|
| 1093 | esubm (den, tprod); |
---|
| 1094 | if (ecmpm (tprod, num) > 0) |
---|
| 1095 | { |
---|
| 1096 | tquot -= 1; |
---|
| 1097 | esubm (den, tprod); |
---|
| 1098 | } |
---|
| 1099 | } |
---|
| 1100 | /* |
---|
| 1101 | if( ecmpm( tprod, num ) > 0 ) |
---|
| 1102 | { |
---|
| 1103 | eshow( "tprod", tprod ); |
---|
| 1104 | eshow( "num ", num ); |
---|
| 1105 | printf( "tnum = %08lx, tden = %04x, tquot = %04x\n", |
---|
| 1106 | tnum, den[M+1], tquot ); |
---|
| 1107 | } |
---|
| 1108 | */ |
---|
| 1109 | esubm (tprod, num); |
---|
| 1110 | /* |
---|
| 1111 | if( ecmpm( num, den ) >= 0 ) |
---|
| 1112 | { |
---|
| 1113 | eshow( "num ", num ); |
---|
| 1114 | eshow( "den ", den ); |
---|
| 1115 | printf( "tnum = %08lx, tden = %04x, tquot = %04x\n", |
---|
| 1116 | tnum, den[M+1], tquot ); |
---|
| 1117 | } |
---|
| 1118 | */ |
---|
| 1119 | equot[i] = tquot; |
---|
| 1120 | eshup6 (num); |
---|
| 1121 | } |
---|
| 1122 | /* test for nonzero remainder after roundoff bit */ |
---|
| 1123 | p = &num[M]; |
---|
| 1124 | j = 0; |
---|
| 1125 | for (i = M; i < NI; i++) |
---|
| 1126 | { |
---|
| 1127 | j |= *p++; |
---|
| 1128 | } |
---|
| 1129 | if (j) |
---|
| 1130 | j = 1; |
---|
| 1131 | |
---|
| 1132 | for (i = 0; i < NI; i++) |
---|
| 1133 | num[i] = equot[i]; |
---|
| 1134 | |
---|
| 1135 | return ((int) j); |
---|
| 1136 | } |
---|
| 1137 | |
---|
| 1138 | |
---|
| 1139 | |
---|
| 1140 | /* Multiply significands */ |
---|
| 1141 | static int |
---|
| 1142 | emulm (short unsigned int *a, short unsigned int *b, LDPARMS * ldp) |
---|
| 1143 | { |
---|
| 1144 | unsigned short *p, *q; |
---|
| 1145 | unsigned short pprod[NI]; |
---|
| 1146 | unsigned short j; |
---|
| 1147 | int i; |
---|
| 1148 | unsigned short *equot = ldp->equot; |
---|
| 1149 | |
---|
| 1150 | equot[0] = b[0]; |
---|
| 1151 | equot[1] = b[1]; |
---|
| 1152 | for (i = M; i < NI; i++) |
---|
| 1153 | equot[i] = 0; |
---|
| 1154 | |
---|
| 1155 | j = 0; |
---|
| 1156 | p = &a[NI - 1]; |
---|
| 1157 | q = &equot[NI - 1]; |
---|
| 1158 | for (i = M + 1; i < NI; i++) |
---|
| 1159 | { |
---|
| 1160 | if (*p == 0) |
---|
| 1161 | { |
---|
| 1162 | --p; |
---|
| 1163 | } |
---|
| 1164 | else |
---|
| 1165 | { |
---|
| 1166 | m16m (*p--, b, pprod); |
---|
| 1167 | eaddm (pprod, equot); |
---|
| 1168 | } |
---|
| 1169 | j |= *q; |
---|
| 1170 | eshdn6 (equot); |
---|
| 1171 | } |
---|
| 1172 | |
---|
| 1173 | for (i = 0; i < NI; i++) |
---|
| 1174 | b[i] = equot[i]; |
---|
| 1175 | |
---|
| 1176 | /* return flag for lost nonzero bits */ |
---|
| 1177 | return ((int) j); |
---|
| 1178 | } |
---|
| 1179 | |
---|
| 1180 | |
---|
| 1181 | /* |
---|
| 1182 | static void eshow(str, x) |
---|
| 1183 | char *str; |
---|
| 1184 | unsigned short *x; |
---|
| 1185 | { |
---|
| 1186 | int i; |
---|
| 1187 | |
---|
| 1188 | printf( "%s ", str ); |
---|
| 1189 | for( i=0; i<NI; i++ ) |
---|
| 1190 | printf( "%04x ", *x++ ); |
---|
| 1191 | printf( "\n" ); |
---|
| 1192 | } |
---|
| 1193 | */ |
---|
| 1194 | |
---|
| 1195 | |
---|
| 1196 | /* |
---|
| 1197 | * Normalize and round off. |
---|
| 1198 | * |
---|
| 1199 | * The internal format number to be rounded is "s". |
---|
| 1200 | * Input "lost" indicates whether the number is exact. |
---|
| 1201 | * This is the so-called sticky bit. |
---|
| 1202 | * |
---|
| 1203 | * Input "subflg" indicates whether the number was obtained |
---|
| 1204 | * by a subtraction operation. In that case if lost is nonzero |
---|
| 1205 | * then the number is slightly smaller than indicated. |
---|
| 1206 | * |
---|
| 1207 | * Input "exp" is the biased exponent, which may be negative. |
---|
| 1208 | * the exponent field of "s" is ignored but is replaced by |
---|
| 1209 | * "exp" as adjusted by normalization and rounding. |
---|
| 1210 | * |
---|
| 1211 | * Input "rcntrl" is the rounding control. |
---|
| 1212 | */ |
---|
| 1213 | |
---|
| 1214 | |
---|
| 1215 | static void |
---|
| 1216 | emdnorm (short unsigned int *s, int lost, int subflg, long int exp, |
---|
| 1217 | int rcntrl, LDPARMS * ldp) |
---|
| 1218 | { |
---|
| 1219 | int i, j; |
---|
| 1220 | unsigned short r; |
---|
| 1221 | |
---|
| 1222 | /* Normalize */ |
---|
| 1223 | j = enormlz (s); |
---|
| 1224 | |
---|
| 1225 | /* a blank significand could mean either zero or infinity. */ |
---|
| 1226 | #ifndef USE_INFINITY |
---|
| 1227 | if (j > NBITS) |
---|
| 1228 | { |
---|
| 1229 | ecleazs (s); |
---|
| 1230 | return; |
---|
| 1231 | } |
---|
| 1232 | #endif |
---|
| 1233 | exp -= j; |
---|
| 1234 | #ifndef USE_INFINITY |
---|
| 1235 | if (exp >= 32767L) |
---|
| 1236 | goto overf; |
---|
| 1237 | #else |
---|
| 1238 | if ((j > NBITS) && (exp < 32767L)) |
---|
| 1239 | { |
---|
| 1240 | ecleazs (s); |
---|
| 1241 | return; |
---|
| 1242 | } |
---|
| 1243 | #endif |
---|
| 1244 | if (exp < 0L) |
---|
| 1245 | { |
---|
| 1246 | if (exp > (long) (-NBITS - 1)) |
---|
| 1247 | { |
---|
| 1248 | j = (int) exp; |
---|
| 1249 | i = eshift (s, j); |
---|
| 1250 | if (i) |
---|
| 1251 | lost = 1; |
---|
| 1252 | } |
---|
| 1253 | else |
---|
| 1254 | { |
---|
| 1255 | ecleazs (s); |
---|
| 1256 | return; |
---|
| 1257 | } |
---|
| 1258 | } |
---|
| 1259 | /* Round off, unless told not to by rcntrl. */ |
---|
| 1260 | if (rcntrl == 0) |
---|
| 1261 | goto mdfin; |
---|
| 1262 | /* Set up rounding parameters if the control register changed. */ |
---|
| 1263 | if (ldp->rndprc != ldp->rlast) |
---|
| 1264 | { |
---|
| 1265 | ecleaz (ldp->rbit); |
---|
| 1266 | switch (ldp->rndprc) |
---|
| 1267 | { |
---|
| 1268 | default: |
---|
| 1269 | case NBITS: |
---|
| 1270 | ldp->rw = NI - 1; /* low guard word */ |
---|
| 1271 | ldp->rmsk = 0xffff; |
---|
| 1272 | ldp->rmbit = 0x8000; |
---|
| 1273 | ldp->rebit = 1; |
---|
| 1274 | ldp->re = ldp->rw - 1; |
---|
| 1275 | break; |
---|
| 1276 | case 113: |
---|
| 1277 | ldp->rw = 10; |
---|
| 1278 | ldp->rmsk = 0x7fff; |
---|
| 1279 | ldp->rmbit = 0x4000; |
---|
| 1280 | ldp->rebit = 0x8000; |
---|
| 1281 | ldp->re = ldp->rw; |
---|
| 1282 | break; |
---|
| 1283 | case 64: |
---|
| 1284 | ldp->rw = 7; |
---|
| 1285 | ldp->rmsk = 0xffff; |
---|
| 1286 | ldp->rmbit = 0x8000; |
---|
| 1287 | ldp->rebit = 1; |
---|
| 1288 | ldp->re = ldp->rw - 1; |
---|
| 1289 | break; |
---|
| 1290 | /* For DEC arithmetic */ |
---|
| 1291 | case 56: |
---|
| 1292 | ldp->rw = 6; |
---|
| 1293 | ldp->rmsk = 0xff; |
---|
| 1294 | ldp->rmbit = 0x80; |
---|
| 1295 | ldp->rebit = 0x100; |
---|
| 1296 | ldp->re = ldp->rw; |
---|
| 1297 | break; |
---|
| 1298 | case 53: |
---|
| 1299 | ldp->rw = 6; |
---|
| 1300 | ldp->rmsk = 0x7ff; |
---|
| 1301 | ldp->rmbit = 0x0400; |
---|
| 1302 | ldp->rebit = 0x800; |
---|
| 1303 | ldp->re = ldp->rw; |
---|
| 1304 | break; |
---|
| 1305 | case 24: |
---|
| 1306 | ldp->rw = 4; |
---|
| 1307 | ldp->rmsk = 0xff; |
---|
| 1308 | ldp->rmbit = 0x80; |
---|
| 1309 | ldp->rebit = 0x100; |
---|
| 1310 | ldp->re = ldp->rw; |
---|
| 1311 | break; |
---|
| 1312 | } |
---|
| 1313 | ldp->rbit[ldp->re] = ldp->rebit; |
---|
| 1314 | ldp->rlast = ldp->rndprc; |
---|
| 1315 | } |
---|
| 1316 | |
---|
| 1317 | /* Shift down 1 temporarily if the data structure has an implied |
---|
| 1318 | * most significant bit and the number is denormal. |
---|
| 1319 | * For rndprc = 64 or NBITS, there is no implied bit. |
---|
| 1320 | * But Intel long double denormals lose one bit of significance even so. |
---|
| 1321 | */ |
---|
| 1322 | #if IBMPC |
---|
| 1323 | if ((exp <= 0) && (ldp->rndprc != NBITS)) |
---|
| 1324 | #else |
---|
| 1325 | if ((exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS)) |
---|
| 1326 | #endif |
---|
| 1327 | { |
---|
| 1328 | lost |= s[NI - 1] & 1; |
---|
| 1329 | eshdn1 (s); |
---|
| 1330 | } |
---|
| 1331 | /* Clear out all bits below the rounding bit, |
---|
| 1332 | * remembering in r if any were nonzero. |
---|
| 1333 | */ |
---|
| 1334 | r = s[ldp->rw] & ldp->rmsk; |
---|
| 1335 | if (ldp->rndprc < NBITS) |
---|
| 1336 | { |
---|
| 1337 | i = ldp->rw + 1; |
---|
| 1338 | while (i < NI) |
---|
| 1339 | { |
---|
| 1340 | if (s[i]) |
---|
| 1341 | r |= 1; |
---|
| 1342 | s[i] = 0; |
---|
| 1343 | ++i; |
---|
| 1344 | } |
---|
| 1345 | } |
---|
| 1346 | s[ldp->rw] &= ~ldp->rmsk; |
---|
| 1347 | if ((r & ldp->rmbit) != 0) |
---|
| 1348 | { |
---|
| 1349 | if (r == ldp->rmbit) |
---|
| 1350 | { |
---|
| 1351 | if (lost == 0) |
---|
| 1352 | { /* round to even */ |
---|
| 1353 | if ((s[ldp->re] & ldp->rebit) == 0) |
---|
| 1354 | goto mddone; |
---|
| 1355 | } |
---|
| 1356 | else |
---|
| 1357 | { |
---|
| 1358 | if (subflg != 0) |
---|
| 1359 | goto mddone; |
---|
| 1360 | } |
---|
| 1361 | } |
---|
| 1362 | eaddm (ldp->rbit, s); |
---|
| 1363 | } |
---|
| 1364 | mddone: |
---|
| 1365 | #if IBMPC |
---|
| 1366 | if ((exp <= 0) && (ldp->rndprc != NBITS)) |
---|
| 1367 | #else |
---|
| 1368 | if ((exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS)) |
---|
| 1369 | #endif |
---|
| 1370 | { |
---|
| 1371 | eshup1 (s); |
---|
| 1372 | } |
---|
| 1373 | if (s[2] != 0) |
---|
| 1374 | { /* overflow on roundoff */ |
---|
| 1375 | eshdn1 (s); |
---|
| 1376 | exp += 1; |
---|
| 1377 | } |
---|
| 1378 | mdfin: |
---|
| 1379 | s[NI - 1] = 0; |
---|
| 1380 | if (exp >= 32767L) |
---|
| 1381 | { |
---|
| 1382 | #ifndef USE_INFINITY |
---|
| 1383 | overf: |
---|
| 1384 | #endif |
---|
| 1385 | #ifdef USE_INFINITY |
---|
| 1386 | s[1] = 32767; |
---|
| 1387 | for (i = 2; i < NI - 1; i++) |
---|
| 1388 | s[i] = 0; |
---|
| 1389 | #else |
---|
| 1390 | s[1] = 32766; |
---|
| 1391 | s[2] = 0; |
---|
| 1392 | for (i = M + 1; i < NI - 1; i++) |
---|
| 1393 | s[i] = 0xffff; |
---|
| 1394 | s[NI - 1] = 0; |
---|
| 1395 | if ((ldp->rndprc < 64) || (ldp->rndprc == 113)) |
---|
| 1396 | { |
---|
| 1397 | s[ldp->rw] &= ~ldp->rmsk; |
---|
| 1398 | if (ldp->rndprc == 24) |
---|
| 1399 | { |
---|
| 1400 | s[5] = 0; |
---|
| 1401 | s[6] = 0; |
---|
| 1402 | } |
---|
| 1403 | } |
---|
| 1404 | #endif |
---|
| 1405 | return; |
---|
| 1406 | } |
---|
| 1407 | if (exp < 0) |
---|
| 1408 | s[1] = 0; |
---|
| 1409 | else |
---|
| 1410 | s[1] = (unsigned short) exp; |
---|
| 1411 | } |
---|
| 1412 | |
---|
| 1413 | |
---|
| 1414 | |
---|
| 1415 | /* |
---|
| 1416 | ; Subtract external format numbers. |
---|
| 1417 | ; |
---|
| 1418 | ; unsigned short a[NE], b[NE], c[NE]; |
---|
| 1419 | ; LDPARMS *ldp; |
---|
| 1420 | ; esub( a, b, c, ldp ); c = b - a |
---|
| 1421 | */ |
---|
| 1422 | |
---|
| 1423 | static void |
---|
| 1424 | esub (const short unsigned int *a, const short unsigned int *b, |
---|
| 1425 | short unsigned int *c, LDPARMS * ldp) |
---|
| 1426 | { |
---|
| 1427 | |
---|
| 1428 | #ifdef NANS |
---|
| 1429 | if (eisnan (a)) |
---|
| 1430 | { |
---|
| 1431 | emov (a, c); |
---|
| 1432 | return; |
---|
| 1433 | } |
---|
| 1434 | if (eisnan (b)) |
---|
| 1435 | { |
---|
| 1436 | emov (b, c); |
---|
| 1437 | return; |
---|
| 1438 | } |
---|
| 1439 | /* Infinity minus infinity is a NaN. |
---|
| 1440 | * Test for subtracting infinities of the same sign. |
---|
| 1441 | */ |
---|
| 1442 | if (eisinf (a) && eisinf (b) && ((eisneg (a) ^ eisneg (b)) == 0)) |
---|
| 1443 | { |
---|
| 1444 | mtherr ("esub", DOMAIN); |
---|
| 1445 | enan (c, NBITS); |
---|
| 1446 | return; |
---|
| 1447 | } |
---|
| 1448 | #endif |
---|
| 1449 | eadd1 (a, b, c, 1, ldp); |
---|
| 1450 | } |
---|
| 1451 | |
---|
| 1452 | |
---|
| 1453 | |
---|
| 1454 | static void |
---|
| 1455 | eadd1 (const short unsigned int *a, const short unsigned int *b, |
---|
| 1456 | short unsigned int *c, int subflg, LDPARMS * ldp) |
---|
| 1457 | { |
---|
| 1458 | unsigned short ai[NI], bi[NI], ci[NI]; |
---|
| 1459 | int i, lost, j, k; |
---|
| 1460 | long lt, lta, ltb; |
---|
| 1461 | |
---|
| 1462 | #ifdef USE_INFINITY |
---|
| 1463 | if (eisinf (a)) |
---|
| 1464 | { |
---|
| 1465 | emov (a, c); |
---|
| 1466 | if (subflg) |
---|
| 1467 | eneg (c); |
---|
| 1468 | return; |
---|
| 1469 | } |
---|
| 1470 | if (eisinf (b)) |
---|
| 1471 | { |
---|
| 1472 | emov (b, c); |
---|
| 1473 | return; |
---|
| 1474 | } |
---|
| 1475 | #endif |
---|
| 1476 | emovi (a, ai); |
---|
| 1477 | emovi (b, bi); |
---|
| 1478 | if (subflg) |
---|
| 1479 | ai[0] = ~ai[0]; |
---|
| 1480 | |
---|
| 1481 | /* compare exponents */ |
---|
| 1482 | lta = ai[E]; |
---|
| 1483 | ltb = bi[E]; |
---|
| 1484 | lt = lta - ltb; |
---|
| 1485 | if (lt > 0L) |
---|
| 1486 | { /* put the larger number in bi */ |
---|
| 1487 | emovz (bi, ci); |
---|
| 1488 | emovz (ai, bi); |
---|
| 1489 | emovz (ci, ai); |
---|
| 1490 | ltb = bi[E]; |
---|
| 1491 | lt = -lt; |
---|
| 1492 | } |
---|
| 1493 | lost = 0; |
---|
| 1494 | if (lt != 0L) |
---|
| 1495 | { |
---|
| 1496 | if (lt < (long) (-NBITS - 1)) |
---|
| 1497 | goto done; /* answer same as larger addend */ |
---|
| 1498 | k = (int) lt; |
---|
| 1499 | lost = eshift (ai, k); /* shift the smaller number down */ |
---|
| 1500 | } |
---|
| 1501 | else |
---|
| 1502 | { |
---|
| 1503 | /* exponents were the same, so must compare significands */ |
---|
| 1504 | i = ecmpm (ai, bi); |
---|
| 1505 | if (i == 0) |
---|
| 1506 | { /* the numbers are identical in magnitude */ |
---|
| 1507 | /* if different signs, result is zero */ |
---|
| 1508 | if (ai[0] != bi[0]) |
---|
| 1509 | { |
---|
| 1510 | eclear (c); |
---|
| 1511 | return; |
---|
| 1512 | } |
---|
| 1513 | /* if same sign, result is double */ |
---|
| 1514 | /* double denomalized tiny number */ |
---|
| 1515 | if ((bi[E] == 0) && ((bi[3] & 0x8000) == 0)) |
---|
| 1516 | { |
---|
| 1517 | eshup1 (bi); |
---|
| 1518 | goto done; |
---|
| 1519 | } |
---|
| 1520 | /* add 1 to exponent unless both are zero! */ |
---|
| 1521 | for (j = 1; j < NI - 1; j++) |
---|
| 1522 | { |
---|
| 1523 | if (bi[j] != 0) |
---|
| 1524 | { |
---|
| 1525 | /* This could overflow, but let emovo take care of that. */ |
---|
| 1526 | ltb += 1; |
---|
| 1527 | break; |
---|
| 1528 | } |
---|
| 1529 | } |
---|
| 1530 | bi[E] = (unsigned short) ltb; |
---|
| 1531 | goto done; |
---|
| 1532 | } |
---|
| 1533 | if (i > 0) |
---|
| 1534 | { /* put the larger number in bi */ |
---|
| 1535 | emovz (bi, ci); |
---|
| 1536 | emovz (ai, bi); |
---|
| 1537 | emovz (ci, ai); |
---|
| 1538 | } |
---|
| 1539 | } |
---|
| 1540 | if (ai[0] == bi[0]) |
---|
| 1541 | { |
---|
| 1542 | eaddm (ai, bi); |
---|
| 1543 | subflg = 0; |
---|
| 1544 | } |
---|
| 1545 | else |
---|
| 1546 | { |
---|
| 1547 | esubm (ai, bi); |
---|
| 1548 | subflg = 1; |
---|
| 1549 | } |
---|
| 1550 | emdnorm (bi, lost, subflg, ltb, 64, ldp); |
---|
| 1551 | |
---|
| 1552 | done: |
---|
| 1553 | emovo (bi, c, ldp); |
---|
| 1554 | } |
---|
| 1555 | |
---|
| 1556 | |
---|
| 1557 | |
---|
| 1558 | /* |
---|
| 1559 | ; Divide. |
---|
| 1560 | ; |
---|
| 1561 | ; unsigned short a[NE], b[NE], c[NE]; |
---|
| 1562 | ; LDPARMS *ldp; |
---|
| 1563 | ; ediv( a, b, c, ldp ); c = b / a |
---|
| 1564 | */ |
---|
| 1565 | static void |
---|
| 1566 | ediv (const short unsigned int *a, const short unsigned int *b, |
---|
| 1567 | short unsigned int *c, LDPARMS * ldp) |
---|
| 1568 | { |
---|
| 1569 | unsigned short ai[NI], bi[NI]; |
---|
| 1570 | int i; |
---|
| 1571 | long lt, lta, ltb; |
---|
| 1572 | |
---|
| 1573 | #ifdef NANS |
---|
| 1574 | /* Return any NaN input. */ |
---|
| 1575 | if (eisnan (a)) |
---|
| 1576 | { |
---|
| 1577 | emov (a, c); |
---|
| 1578 | return; |
---|
| 1579 | } |
---|
| 1580 | if (eisnan (b)) |
---|
| 1581 | { |
---|
| 1582 | emov (b, c); |
---|
| 1583 | return; |
---|
| 1584 | } |
---|
| 1585 | /* Zero over zero, or infinity over infinity, is a NaN. */ |
---|
| 1586 | if (((ecmp (a, ezero) == 0) && (ecmp (b, ezero) == 0)) |
---|
| 1587 | || (eisinf (a) && eisinf (b))) |
---|
| 1588 | { |
---|
| 1589 | mtherr ("ediv", DOMAIN); |
---|
| 1590 | enan (c, NBITS); |
---|
| 1591 | return; |
---|
| 1592 | } |
---|
| 1593 | #endif |
---|
| 1594 | /* Infinity over anything else is infinity. */ |
---|
| 1595 | #ifdef USE_INFINITY |
---|
| 1596 | if (eisinf (b)) |
---|
| 1597 | { |
---|
| 1598 | if (eisneg (a) ^ eisneg (b)) |
---|
| 1599 | *(c + (NE - 1)) = 0x8000; |
---|
| 1600 | else |
---|
| 1601 | *(c + (NE - 1)) = 0; |
---|
| 1602 | einfin (c, ldp); |
---|
| 1603 | return; |
---|
| 1604 | } |
---|
| 1605 | if (eisinf (a)) |
---|
| 1606 | { |
---|
| 1607 | eclear (c); |
---|
| 1608 | return; |
---|
| 1609 | } |
---|
| 1610 | #endif |
---|
| 1611 | emovi (a, ai); |
---|
| 1612 | emovi (b, bi); |
---|
| 1613 | lta = ai[E]; |
---|
| 1614 | ltb = bi[E]; |
---|
| 1615 | if (bi[E] == 0) |
---|
| 1616 | { /* See if numerator is zero. */ |
---|
| 1617 | for (i = 1; i < NI - 1; i++) |
---|
| 1618 | { |
---|
| 1619 | if (bi[i] != 0) |
---|
| 1620 | { |
---|
| 1621 | ltb -= enormlz (bi); |
---|
| 1622 | goto dnzro1; |
---|
| 1623 | } |
---|
| 1624 | } |
---|
| 1625 | eclear (c); |
---|
| 1626 | return; |
---|
| 1627 | } |
---|
| 1628 | dnzro1: |
---|
| 1629 | |
---|
| 1630 | if (ai[E] == 0) |
---|
| 1631 | { /* possible divide by zero */ |
---|
| 1632 | for (i = 1; i < NI - 1; i++) |
---|
| 1633 | { |
---|
| 1634 | if (ai[i] != 0) |
---|
| 1635 | { |
---|
| 1636 | lta -= enormlz (ai); |
---|
| 1637 | goto dnzro2; |
---|
| 1638 | } |
---|
| 1639 | } |
---|
| 1640 | if (ai[0] == bi[0]) |
---|
| 1641 | *(c + (NE - 1)) = 0; |
---|
| 1642 | else |
---|
| 1643 | *(c + (NE - 1)) = 0x8000; |
---|
| 1644 | einfin (c, ldp); |
---|
| 1645 | mtherr ("ediv", SING); |
---|
| 1646 | return; |
---|
| 1647 | } |
---|
| 1648 | dnzro2: |
---|
| 1649 | |
---|
| 1650 | i = edivm (ai, bi, ldp); |
---|
| 1651 | /* calculate exponent */ |
---|
| 1652 | lt = ltb - lta + EXONE; |
---|
| 1653 | emdnorm (bi, i, 0, lt, 64, ldp); |
---|
| 1654 | /* set the sign */ |
---|
| 1655 | if (ai[0] == bi[0]) |
---|
| 1656 | bi[0] = 0; |
---|
| 1657 | else |
---|
| 1658 | bi[0] = 0Xffff; |
---|
| 1659 | emovo (bi, c, ldp); |
---|
| 1660 | } |
---|
| 1661 | |
---|
| 1662 | |
---|
| 1663 | |
---|
| 1664 | /* |
---|
| 1665 | ; Multiply. |
---|
| 1666 | ; |
---|
| 1667 | ; unsigned short a[NE], b[NE], c[NE]; |
---|
| 1668 | ; LDPARMS *ldp |
---|
| 1669 | ; emul( a, b, c, ldp ); c = b * a |
---|
| 1670 | */ |
---|
| 1671 | static void |
---|
| 1672 | emul (const short unsigned int *a, const short unsigned int *b, |
---|
| 1673 | short unsigned int *c, LDPARMS * ldp) |
---|
| 1674 | { |
---|
| 1675 | unsigned short ai[NI], bi[NI]; |
---|
| 1676 | int i, j; |
---|
| 1677 | long lt, lta, ltb; |
---|
| 1678 | |
---|
| 1679 | #ifdef NANS |
---|
| 1680 | /* NaN times anything is the same NaN. */ |
---|
| 1681 | if (eisnan (a)) |
---|
| 1682 | { |
---|
| 1683 | emov (a, c); |
---|
| 1684 | return; |
---|
| 1685 | } |
---|
| 1686 | if (eisnan (b)) |
---|
| 1687 | { |
---|
| 1688 | emov (b, c); |
---|
| 1689 | return; |
---|
| 1690 | } |
---|
| 1691 | /* Zero times infinity is a NaN. */ |
---|
| 1692 | if ((eisinf (a) && (ecmp (b, ezero) == 0)) |
---|
| 1693 | || (eisinf (b) && (ecmp (a, ezero) == 0))) |
---|
| 1694 | { |
---|
| 1695 | mtherr ("emul", DOMAIN); |
---|
| 1696 | enan (c, NBITS); |
---|
| 1697 | return; |
---|
| 1698 | } |
---|
| 1699 | #endif |
---|
| 1700 | /* Infinity times anything else is infinity. */ |
---|
| 1701 | #ifdef USE_INFINITY |
---|
| 1702 | if (eisinf (a) || eisinf (b)) |
---|
| 1703 | { |
---|
| 1704 | if (eisneg (a) ^ eisneg (b)) |
---|
| 1705 | *(c + (NE - 1)) = 0x8000; |
---|
| 1706 | else |
---|
| 1707 | *(c + (NE - 1)) = 0; |
---|
| 1708 | einfin (c, ldp); |
---|
| 1709 | return; |
---|
| 1710 | } |
---|
| 1711 | #endif |
---|
| 1712 | emovi (a, ai); |
---|
| 1713 | emovi (b, bi); |
---|
| 1714 | lta = ai[E]; |
---|
| 1715 | ltb = bi[E]; |
---|
| 1716 | if (ai[E] == 0) |
---|
| 1717 | { |
---|
| 1718 | for (i = 1; i < NI - 1; i++) |
---|
| 1719 | { |
---|
| 1720 | if (ai[i] != 0) |
---|
| 1721 | { |
---|
| 1722 | lta -= enormlz (ai); |
---|
| 1723 | goto mnzer1; |
---|
| 1724 | } |
---|
| 1725 | } |
---|
| 1726 | eclear (c); |
---|
| 1727 | return; |
---|
| 1728 | } |
---|
| 1729 | mnzer1: |
---|
| 1730 | |
---|
| 1731 | if (bi[E] == 0) |
---|
| 1732 | { |
---|
| 1733 | for (i = 1; i < NI - 1; i++) |
---|
| 1734 | { |
---|
| 1735 | if (bi[i] != 0) |
---|
| 1736 | { |
---|
| 1737 | ltb -= enormlz (bi); |
---|
| 1738 | goto mnzer2; |
---|
| 1739 | } |
---|
| 1740 | } |
---|
| 1741 | eclear (c); |
---|
| 1742 | return; |
---|
| 1743 | } |
---|
| 1744 | mnzer2: |
---|
| 1745 | |
---|
| 1746 | /* Multiply significands */ |
---|
| 1747 | j = emulm (ai, bi, ldp); |
---|
| 1748 | /* calculate exponent */ |
---|
| 1749 | lt = lta + ltb - (EXONE - 1); |
---|
| 1750 | emdnorm (bi, j, 0, lt, 64, ldp); |
---|
| 1751 | /* calculate sign of product */ |
---|
| 1752 | if (ai[0] == bi[0]) |
---|
| 1753 | bi[0] = 0; |
---|
| 1754 | else |
---|
| 1755 | bi[0] = 0xffff; |
---|
| 1756 | emovo (bi, c, ldp); |
---|
| 1757 | } |
---|
| 1758 | |
---|
| 1759 | |
---|
| 1760 | |
---|
| 1761 | #if LDBL_MANT_DIG > 64 |
---|
| 1762 | static void |
---|
| 1763 | e113toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp) |
---|
| 1764 | { |
---|
| 1765 | register unsigned short r; |
---|
| 1766 | unsigned short *e, *p; |
---|
| 1767 | unsigned short yy[NI]; |
---|
| 1768 | int denorm, i; |
---|
| 1769 | |
---|
| 1770 | e = pe; |
---|
| 1771 | denorm = 0; |
---|
| 1772 | ecleaz (yy); |
---|
| 1773 | #ifdef IBMPC |
---|
| 1774 | e += 7; |
---|
| 1775 | #endif |
---|
| 1776 | r = *e; |
---|
| 1777 | yy[0] = 0; |
---|
| 1778 | if (r & 0x8000) |
---|
| 1779 | yy[0] = 0xffff; |
---|
| 1780 | r &= 0x7fff; |
---|
| 1781 | #ifdef USE_INFINITY |
---|
| 1782 | if (r == 0x7fff) |
---|
| 1783 | { |
---|
| 1784 | #ifdef NANS |
---|
| 1785 | #ifdef IBMPC |
---|
| 1786 | for (i = 0; i < 7; i++) |
---|
| 1787 | { |
---|
| 1788 | if (pe[i] != 0) |
---|
| 1789 | { |
---|
| 1790 | enan (y, NBITS); |
---|
| 1791 | return; |
---|
| 1792 | } |
---|
| 1793 | } |
---|
| 1794 | #else /* !IBMPC */ |
---|
| 1795 | for (i = 1; i < 8; i++) |
---|
| 1796 | { |
---|
| 1797 | if (pe[i] != 0) |
---|
| 1798 | { |
---|
| 1799 | enan (y, NBITS); |
---|
| 1800 | return; |
---|
| 1801 | } |
---|
| 1802 | } |
---|
| 1803 | #endif /* !IBMPC */ |
---|
| 1804 | #endif /* NANS */ |
---|
| 1805 | eclear (y); |
---|
| 1806 | einfin (y, ldp); |
---|
| 1807 | if (*e & 0x8000) |
---|
| 1808 | eneg (y); |
---|
| 1809 | return; |
---|
| 1810 | } |
---|
| 1811 | #endif /* INFINITY */ |
---|
| 1812 | yy[E] = r; |
---|
| 1813 | p = &yy[M + 1]; |
---|
| 1814 | #ifdef IBMPC |
---|
| 1815 | for (i = 0; i < 7; i++) |
---|
| 1816 | *p++ = *(--e); |
---|
| 1817 | #else /* IBMPC */ |
---|
| 1818 | ++e; |
---|
| 1819 | for (i = 0; i < 7; i++) |
---|
| 1820 | *p++ = *e++; |
---|
| 1821 | #endif /* IBMPC */ |
---|
| 1822 | /* If denormal, remove the implied bit; else shift down 1. */ |
---|
| 1823 | if (r == 0) |
---|
| 1824 | { |
---|
| 1825 | yy[M] = 0; |
---|
| 1826 | } |
---|
| 1827 | else |
---|
| 1828 | { |
---|
| 1829 | yy[M] = 1; |
---|
| 1830 | eshift (yy, -1); |
---|
| 1831 | } |
---|
| 1832 | emovo (yy, y, ldp); |
---|
| 1833 | } |
---|
| 1834 | |
---|
| 1835 | /* move out internal format to ieee long double */ |
---|
| 1836 | static void |
---|
| 1837 | toe113 (short unsigned int *a, short unsigned int *b) |
---|
| 1838 | { |
---|
| 1839 | register unsigned short *p, *q; |
---|
| 1840 | unsigned short i; |
---|
| 1841 | |
---|
| 1842 | #ifdef NANS |
---|
| 1843 | if (eiisnan (a)) |
---|
| 1844 | { |
---|
| 1845 | enan (b, 113); |
---|
| 1846 | return; |
---|
| 1847 | } |
---|
| 1848 | #endif |
---|
| 1849 | p = a; |
---|
| 1850 | #ifdef MIEEE |
---|
| 1851 | q = b; |
---|
| 1852 | #else |
---|
| 1853 | q = b + 7; /* point to output exponent */ |
---|
| 1854 | #endif |
---|
| 1855 | |
---|
| 1856 | /* If not denormal, delete the implied bit. */ |
---|
| 1857 | if (a[E] != 0) |
---|
| 1858 | { |
---|
| 1859 | eshup1 (a); |
---|
| 1860 | } |
---|
| 1861 | /* combine sign and exponent */ |
---|
| 1862 | i = *p++; |
---|
| 1863 | #ifdef MIEEE |
---|
| 1864 | if (i) |
---|
| 1865 | *q++ = *p++ | 0x8000; |
---|
| 1866 | else |
---|
| 1867 | *q++ = *p++; |
---|
| 1868 | #else |
---|
| 1869 | if (i) |
---|
| 1870 | *q-- = *p++ | 0x8000; |
---|
| 1871 | else |
---|
| 1872 | *q-- = *p++; |
---|
| 1873 | #endif |
---|
| 1874 | /* skip over guard word */ |
---|
| 1875 | ++p; |
---|
| 1876 | /* move the significand */ |
---|
| 1877 | #ifdef MIEEE |
---|
| 1878 | for (i = 0; i < 7; i++) |
---|
| 1879 | *q++ = *p++; |
---|
| 1880 | #else |
---|
| 1881 | for (i = 0; i < 7; i++) |
---|
| 1882 | *q-- = *p++; |
---|
| 1883 | #endif |
---|
| 1884 | } |
---|
| 1885 | #endif /* LDBL_MANT_DIG > 64 */ |
---|
| 1886 | |
---|
| 1887 | |
---|
| 1888 | #if LDBL_MANT_DIG == 64 |
---|
| 1889 | static void |
---|
| 1890 | e64toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp) |
---|
| 1891 | { |
---|
| 1892 | unsigned short yy[NI]; |
---|
| 1893 | unsigned short *p, *q, *e; |
---|
| 1894 | int i; |
---|
| 1895 | |
---|
| 1896 | e = pe; |
---|
| 1897 | p = yy; |
---|
| 1898 | |
---|
| 1899 | for (i = 0; i < NE - 5; i++) |
---|
| 1900 | *p++ = 0; |
---|
| 1901 | #ifdef IBMPC |
---|
| 1902 | for (i = 0; i < 5; i++) |
---|
| 1903 | *p++ = *e++; |
---|
| 1904 | #endif |
---|
| 1905 | #ifdef DEC |
---|
| 1906 | for (i = 0; i < 5; i++) |
---|
| 1907 | *p++ = *e++; |
---|
| 1908 | #endif |
---|
| 1909 | #ifdef MIEEE |
---|
| 1910 | p = &yy[0] + (NE - 1); |
---|
| 1911 | *p-- = *e++; |
---|
| 1912 | ++e; /* MIEEE skips over 2nd short */ |
---|
| 1913 | for (i = 0; i < 4; i++) |
---|
| 1914 | *p-- = *e++; |
---|
| 1915 | #endif |
---|
| 1916 | |
---|
| 1917 | #ifdef IBMPC |
---|
| 1918 | /* For Intel long double, shift denormal significand up 1 |
---|
| 1919 | -- but only if the top significand bit is zero. */ |
---|
| 1920 | if ((yy[NE - 1] & 0x7fff) == 0 && (yy[NE - 2] & 0x8000) == 0) |
---|
| 1921 | { |
---|
| 1922 | unsigned short temp[NI + 1]; |
---|
| 1923 | emovi (yy, temp); |
---|
| 1924 | eshup1 (temp); |
---|
| 1925 | emovo (temp, y, ldp); |
---|
| 1926 | return; |
---|
| 1927 | } |
---|
| 1928 | #endif |
---|
| 1929 | #ifdef USE_INFINITY |
---|
| 1930 | /* Point to the exponent field. */ |
---|
| 1931 | p = &yy[NE - 1]; |
---|
| 1932 | if ((*p & 0x7fff) == 0x7fff) |
---|
| 1933 | { |
---|
| 1934 | #ifdef NANS |
---|
| 1935 | #ifdef IBMPC |
---|
| 1936 | for (i = 0; i < 4; i++) |
---|
| 1937 | { |
---|
| 1938 | if ((i != 3 && pe[i] != 0) |
---|
| 1939 | /* Check for Intel long double infinity pattern. */ |
---|
| 1940 | || (i == 3 && pe[i] != 0x8000)) |
---|
| 1941 | { |
---|
| 1942 | enan (y, NBITS); |
---|
| 1943 | return; |
---|
| 1944 | } |
---|
| 1945 | } |
---|
| 1946 | #endif |
---|
| 1947 | #ifdef MIEEE |
---|
| 1948 | for (i = 2; i <= 5; i++) |
---|
| 1949 | { |
---|
| 1950 | if (pe[i] != 0) |
---|
| 1951 | { |
---|
| 1952 | enan (y, NBITS); |
---|
| 1953 | return; |
---|
| 1954 | } |
---|
| 1955 | } |
---|
| 1956 | #endif |
---|
| 1957 | #endif /* NANS */ |
---|
| 1958 | eclear (y); |
---|
| 1959 | einfin (y, ldp); |
---|
| 1960 | if (*p & 0x8000) |
---|
| 1961 | eneg (y); |
---|
| 1962 | return; |
---|
| 1963 | } |
---|
| 1964 | #endif /* USE_INFINITY */ |
---|
| 1965 | p = yy; |
---|
| 1966 | q = y; |
---|
| 1967 | for (i = 0; i < NE; i++) |
---|
| 1968 | *q++ = *p++; |
---|
| 1969 | } |
---|
| 1970 | |
---|
| 1971 | /* move out internal format to ieee long double */ |
---|
| 1972 | static void |
---|
| 1973 | toe64 (short unsigned int *a, short unsigned int *b) |
---|
| 1974 | { |
---|
| 1975 | register unsigned short *p, *q; |
---|
| 1976 | unsigned short i; |
---|
| 1977 | |
---|
| 1978 | #ifdef NANS |
---|
| 1979 | if (eiisnan (a)) |
---|
| 1980 | { |
---|
| 1981 | enan (b, 64); |
---|
| 1982 | return; |
---|
| 1983 | } |
---|
| 1984 | #endif |
---|
| 1985 | #ifdef IBMPC |
---|
| 1986 | /* Shift Intel denormal significand down 1. */ |
---|
| 1987 | if (a[E] == 0) |
---|
| 1988 | eshdn1 (a); |
---|
| 1989 | #endif |
---|
| 1990 | p = a; |
---|
| 1991 | #ifdef MIEEE |
---|
| 1992 | q = b; |
---|
| 1993 | #else |
---|
| 1994 | q = b + 4; /* point to output exponent */ |
---|
| 1995 | /* NOTE: Intel data type is 96 bits wide, clear the last word here. */ |
---|
| 1996 | *(q + 1) = 0; |
---|
| 1997 | #endif |
---|
| 1998 | |
---|
| 1999 | /* combine sign and exponent */ |
---|
| 2000 | i = *p++; |
---|
| 2001 | #ifdef MIEEE |
---|
| 2002 | if (i) |
---|
| 2003 | *q++ = *p++ | 0x8000; |
---|
| 2004 | else |
---|
| 2005 | *q++ = *p++; |
---|
| 2006 | *q++ = 0; /* leave 2nd short blank */ |
---|
| 2007 | #else |
---|
| 2008 | if (i) |
---|
| 2009 | *q-- = *p++ | 0x8000; |
---|
| 2010 | else |
---|
| 2011 | *q-- = *p++; |
---|
| 2012 | #endif |
---|
| 2013 | /* skip over guard word */ |
---|
| 2014 | ++p; |
---|
| 2015 | /* move the significand */ |
---|
| 2016 | #ifdef MIEEE |
---|
| 2017 | for (i = 0; i < 4; i++) |
---|
| 2018 | *q++ = *p++; |
---|
| 2019 | #else |
---|
| 2020 | #ifdef USE_INFINITY |
---|
| 2021 | #ifdef IBMPC |
---|
| 2022 | if (eiisinf (a)) |
---|
| 2023 | { |
---|
| 2024 | /* Intel long double infinity. */ |
---|
| 2025 | *q-- = 0x8000; |
---|
| 2026 | *q-- = 0; |
---|
| 2027 | *q-- = 0; |
---|
| 2028 | *q = 0; |
---|
| 2029 | return; |
---|
| 2030 | } |
---|
| 2031 | #endif /* IBMPC */ |
---|
| 2032 | #endif /* USE_INFINITY */ |
---|
| 2033 | for (i = 0; i < 4; i++) |
---|
| 2034 | *q-- = *p++; |
---|
| 2035 | #endif |
---|
| 2036 | } |
---|
| 2037 | |
---|
| 2038 | #endif /* LDBL_MANT_DIG == 64 */ |
---|
| 2039 | |
---|
| 2040 | #if LDBL_MANT_DIG == 53 |
---|
| 2041 | /* |
---|
| 2042 | ; Convert IEEE double precision to e type |
---|
| 2043 | ; double d; |
---|
| 2044 | ; unsigned short x[N+2]; |
---|
| 2045 | ; e53toe( &d, x ); |
---|
| 2046 | */ |
---|
| 2047 | static void |
---|
| 2048 | e53toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp) |
---|
| 2049 | { |
---|
| 2050 | #ifdef DEC |
---|
| 2051 | |
---|
| 2052 | dectoe (pe, y); /* see etodec.c */ |
---|
| 2053 | |
---|
| 2054 | #else |
---|
| 2055 | |
---|
| 2056 | register unsigned short r; |
---|
| 2057 | register unsigned short *p, *e; |
---|
| 2058 | unsigned short yy[NI]; |
---|
| 2059 | int denorm, k; |
---|
| 2060 | |
---|
| 2061 | e = pe; |
---|
| 2062 | denorm = 0; /* flag if denormalized number */ |
---|
| 2063 | ecleaz (yy); |
---|
| 2064 | #ifdef IBMPC |
---|
| 2065 | e += 3; |
---|
| 2066 | #endif |
---|
| 2067 | #ifdef DEC |
---|
| 2068 | e += 3; |
---|
| 2069 | #endif |
---|
| 2070 | r = *e; |
---|
| 2071 | yy[0] = 0; |
---|
| 2072 | if (r & 0x8000) |
---|
| 2073 | yy[0] = 0xffff; |
---|
| 2074 | yy[M] = (r & 0x0f) | 0x10; |
---|
| 2075 | r &= ~0x800f; /* strip sign and 4 significand bits */ |
---|
| 2076 | #ifdef USE_INFINITY |
---|
| 2077 | if (r == 0x7ff0) |
---|
| 2078 | { |
---|
| 2079 | #ifdef NANS |
---|
| 2080 | #ifdef IBMPC |
---|
| 2081 | if (((pe[3] & 0xf) != 0) || (pe[2] != 0) |
---|
| 2082 | || (pe[1] != 0) || (pe[0] != 0)) |
---|
| 2083 | { |
---|
| 2084 | enan (y, NBITS); |
---|
| 2085 | return; |
---|
| 2086 | } |
---|
| 2087 | #else /* !IBMPC */ |
---|
| 2088 | if (((pe[0] & 0xf) != 0) || (pe[1] != 0) |
---|
| 2089 | || (pe[2] != 0) || (pe[3] != 0)) |
---|
| 2090 | { |
---|
| 2091 | enan (y, NBITS); |
---|
| 2092 | return; |
---|
| 2093 | } |
---|
| 2094 | #endif /* !IBMPC */ |
---|
| 2095 | #endif /* NANS */ |
---|
| 2096 | eclear (y); |
---|
| 2097 | einfin (y, ldp); |
---|
| 2098 | if (yy[0]) |
---|
| 2099 | eneg (y); |
---|
| 2100 | return; |
---|
| 2101 | } |
---|
| 2102 | #endif |
---|
| 2103 | r >>= 4; |
---|
| 2104 | /* If zero exponent, then the significand is denormalized. |
---|
| 2105 | * So, take back the understood high significand bit. */ |
---|
| 2106 | if (r == 0) |
---|
| 2107 | { |
---|
| 2108 | denorm = 1; |
---|
| 2109 | yy[M] &= ~0x10; |
---|
| 2110 | } |
---|
| 2111 | r += EXONE - 01777; |
---|
| 2112 | yy[E] = r; |
---|
| 2113 | p = &yy[M + 1]; |
---|
| 2114 | #ifdef IBMPC |
---|
| 2115 | *p++ = *(--e); |
---|
| 2116 | *p++ = *(--e); |
---|
| 2117 | *p++ = *(--e); |
---|
| 2118 | #else /* !IBMPC */ |
---|
| 2119 | ++e; |
---|
| 2120 | *p++ = *e++; |
---|
| 2121 | *p++ = *e++; |
---|
| 2122 | *p++ = *e++; |
---|
| 2123 | #endif /* !IBMPC */ |
---|
| 2124 | (void) eshift (yy, -5); |
---|
| 2125 | if (denorm) |
---|
| 2126 | { /* if zero exponent, then normalize the significand */ |
---|
| 2127 | if ((k = enormlz (yy)) > NBITS) |
---|
| 2128 | ecleazs (yy); |
---|
| 2129 | else |
---|
| 2130 | yy[E] -= (unsigned short) (k - 1); |
---|
| 2131 | } |
---|
| 2132 | emovo (yy, y, ldp); |
---|
| 2133 | #endif /* !DEC */ |
---|
| 2134 | } |
---|
| 2135 | |
---|
| 2136 | /* |
---|
| 2137 | ; e type to IEEE double precision |
---|
| 2138 | ; double d; |
---|
| 2139 | ; unsigned short x[NE]; |
---|
| 2140 | ; etoe53( x, &d ); |
---|
| 2141 | */ |
---|
| 2142 | |
---|
| 2143 | #ifdef DEC |
---|
| 2144 | |
---|
| 2145 | static void |
---|
| 2146 | etoe53 (x, e) |
---|
| 2147 | unsigned short *x, *e; |
---|
| 2148 | { |
---|
| 2149 | etodec (x, e); /* see etodec.c */ |
---|
| 2150 | } |
---|
| 2151 | |
---|
| 2152 | static void |
---|
| 2153 | toe53 (x, y) |
---|
| 2154 | unsigned short *x, *y; |
---|
| 2155 | { |
---|
| 2156 | todec (x, y); |
---|
| 2157 | } |
---|
| 2158 | |
---|
| 2159 | #else |
---|
| 2160 | |
---|
| 2161 | static void |
---|
| 2162 | toe53 (short unsigned int *x, short unsigned int *y) |
---|
| 2163 | { |
---|
| 2164 | unsigned short i; |
---|
| 2165 | unsigned short *p; |
---|
| 2166 | |
---|
| 2167 | |
---|
| 2168 | #ifdef NANS |
---|
| 2169 | if (eiisnan (x)) |
---|
| 2170 | { |
---|
| 2171 | enan (y, 53); |
---|
| 2172 | return; |
---|
| 2173 | } |
---|
| 2174 | #endif |
---|
| 2175 | p = &x[0]; |
---|
| 2176 | #ifdef IBMPC |
---|
| 2177 | y += 3; |
---|
| 2178 | #endif |
---|
| 2179 | #ifdef DEC |
---|
| 2180 | y += 3; |
---|
| 2181 | #endif |
---|
| 2182 | *y = 0; /* output high order */ |
---|
| 2183 | if (*p++) |
---|
| 2184 | *y = 0x8000; /* output sign bit */ |
---|
| 2185 | |
---|
| 2186 | i = *p++; |
---|
| 2187 | if (i >= (unsigned int) 2047) |
---|
| 2188 | { /* Saturate at largest number less than infinity. */ |
---|
| 2189 | #ifdef USE_INFINITY |
---|
| 2190 | *y |= 0x7ff0; |
---|
| 2191 | #ifdef IBMPC |
---|
| 2192 | *(--y) = 0; |
---|
| 2193 | *(--y) = 0; |
---|
| 2194 | *(--y) = 0; |
---|
| 2195 | #else /* !IBMPC */ |
---|
| 2196 | ++y; |
---|
| 2197 | *y++ = 0; |
---|
| 2198 | *y++ = 0; |
---|
| 2199 | *y++ = 0; |
---|
| 2200 | #endif /* IBMPC */ |
---|
| 2201 | #else /* !USE_INFINITY */ |
---|
| 2202 | *y |= (unsigned short) 0x7fef; |
---|
| 2203 | #ifdef IBMPC |
---|
| 2204 | *(--y) = 0xffff; |
---|
| 2205 | *(--y) = 0xffff; |
---|
| 2206 | *(--y) = 0xffff; |
---|
| 2207 | #else /* !IBMPC */ |
---|
| 2208 | ++y; |
---|
| 2209 | *y++ = 0xffff; |
---|
| 2210 | *y++ = 0xffff; |
---|
| 2211 | *y++ = 0xffff; |
---|
| 2212 | #endif |
---|
| 2213 | #endif /* !USE_INFINITY */ |
---|
| 2214 | return; |
---|
| 2215 | } |
---|
| 2216 | if (i == 0) |
---|
| 2217 | { |
---|
| 2218 | (void) eshift (x, 4); |
---|
| 2219 | } |
---|
| 2220 | else |
---|
| 2221 | { |
---|
| 2222 | i <<= 4; |
---|
| 2223 | (void) eshift (x, 5); |
---|
| 2224 | } |
---|
| 2225 | i |= *p++ & (unsigned short) 0x0f; /* *p = xi[M] */ |
---|
| 2226 | *y |= (unsigned short) i; /* high order output already has sign bit set */ |
---|
| 2227 | #ifdef IBMPC |
---|
| 2228 | *(--y) = *p++; |
---|
| 2229 | *(--y) = *p++; |
---|
| 2230 | *(--y) = *p; |
---|
| 2231 | #else /* !IBMPC */ |
---|
| 2232 | ++y; |
---|
| 2233 | *y++ = *p++; |
---|
| 2234 | *y++ = *p++; |
---|
| 2235 | *y++ = *p++; |
---|
| 2236 | #endif /* !IBMPC */ |
---|
| 2237 | } |
---|
| 2238 | |
---|
| 2239 | #endif /* not DEC */ |
---|
| 2240 | #endif /* LDBL_MANT_DIG == 53 */ |
---|
| 2241 | |
---|
| 2242 | #if LDBL_MANT_DIG == 24 |
---|
| 2243 | /* |
---|
| 2244 | ; Convert IEEE single precision to e type |
---|
| 2245 | ; float d; |
---|
| 2246 | ; unsigned short x[N+2]; |
---|
| 2247 | ; dtox( &d, x ); |
---|
| 2248 | */ |
---|
| 2249 | void |
---|
| 2250 | e24toe (short unsigned int *pe, short unsigned int *y, LDPARMS * ldp) |
---|
| 2251 | { |
---|
| 2252 | register unsigned short r; |
---|
| 2253 | register unsigned short *p, *e; |
---|
| 2254 | unsigned short yy[NI]; |
---|
| 2255 | int denorm, k; |
---|
| 2256 | |
---|
| 2257 | e = pe; |
---|
| 2258 | denorm = 0; /* flag if denormalized number */ |
---|
| 2259 | ecleaz (yy); |
---|
| 2260 | #ifdef IBMPC |
---|
| 2261 | e += 1; |
---|
| 2262 | #endif |
---|
| 2263 | #ifdef DEC |
---|
| 2264 | e += 1; |
---|
| 2265 | #endif |
---|
| 2266 | r = *e; |
---|
| 2267 | yy[0] = 0; |
---|
| 2268 | if (r & 0x8000) |
---|
| 2269 | yy[0] = 0xffff; |
---|
| 2270 | yy[M] = (r & 0x7f) | 0200; |
---|
| 2271 | r &= ~0x807f; /* strip sign and 7 significand bits */ |
---|
| 2272 | #ifdef USE_INFINITY |
---|
| 2273 | if (r == 0x7f80) |
---|
| 2274 | { |
---|
| 2275 | #ifdef NANS |
---|
| 2276 | #ifdef MIEEE |
---|
| 2277 | if (((pe[0] & 0x7f) != 0) || (pe[1] != 0)) |
---|
| 2278 | { |
---|
| 2279 | enan (y, NBITS); |
---|
| 2280 | return; |
---|
| 2281 | } |
---|
| 2282 | #else /* !MIEEE */ |
---|
| 2283 | if (((pe[1] & 0x7f) != 0) || (pe[0] != 0)) |
---|
| 2284 | { |
---|
| 2285 | enan (y, NBITS); |
---|
| 2286 | return; |
---|
| 2287 | } |
---|
| 2288 | #endif /* !MIEEE */ |
---|
| 2289 | #endif /* NANS */ |
---|
| 2290 | eclear (y); |
---|
| 2291 | einfin (y, ldp); |
---|
| 2292 | if (yy[0]) |
---|
| 2293 | eneg (y); |
---|
| 2294 | return; |
---|
| 2295 | } |
---|
| 2296 | #endif |
---|
| 2297 | r >>= 7; |
---|
| 2298 | /* If zero exponent, then the significand is denormalized. |
---|
| 2299 | * So, take back the understood high significand bit. */ |
---|
| 2300 | if (r == 0) |
---|
| 2301 | { |
---|
| 2302 | denorm = 1; |
---|
| 2303 | yy[M] &= ~0200; |
---|
| 2304 | } |
---|
| 2305 | r += EXONE - 0177; |
---|
| 2306 | yy[E] = r; |
---|
| 2307 | p = &yy[M + 1]; |
---|
| 2308 | #ifdef IBMPC |
---|
| 2309 | *p++ = *(--e); |
---|
| 2310 | #endif |
---|
| 2311 | #ifdef DEC |
---|
| 2312 | *p++ = *(--e); |
---|
| 2313 | #endif |
---|
| 2314 | #ifdef MIEEE |
---|
| 2315 | ++e; |
---|
| 2316 | *p++ = *e++; |
---|
| 2317 | #endif |
---|
| 2318 | (void) eshift (yy, -8); |
---|
| 2319 | if (denorm) |
---|
| 2320 | { /* if zero exponent, then normalize the significand */ |
---|
| 2321 | if ((k = enormlz (yy)) > NBITS) |
---|
| 2322 | ecleazs (yy); |
---|
| 2323 | else |
---|
| 2324 | yy[E] -= (unsigned short) (k - 1); |
---|
| 2325 | } |
---|
| 2326 | emovo (yy, y, ldp); |
---|
| 2327 | } |
---|
| 2328 | |
---|
| 2329 | static void |
---|
| 2330 | toe24 (short unsigned int *x, short unsigned int *y) |
---|
| 2331 | { |
---|
| 2332 | unsigned short i; |
---|
| 2333 | unsigned short *p; |
---|
| 2334 | |
---|
| 2335 | #ifdef NANS |
---|
| 2336 | if (eiisnan (x)) |
---|
| 2337 | { |
---|
| 2338 | enan (y, 24); |
---|
| 2339 | return; |
---|
| 2340 | } |
---|
| 2341 | #endif |
---|
| 2342 | p = &x[0]; |
---|
| 2343 | #ifdef IBMPC |
---|
| 2344 | y += 1; |
---|
| 2345 | #endif |
---|
| 2346 | #ifdef DEC |
---|
| 2347 | y += 1; |
---|
| 2348 | #endif |
---|
| 2349 | *y = 0; /* output high order */ |
---|
| 2350 | if (*p++) |
---|
| 2351 | *y = 0x8000; /* output sign bit */ |
---|
| 2352 | |
---|
| 2353 | i = *p++; |
---|
| 2354 | if (i >= 255) |
---|
| 2355 | { /* Saturate at largest number less than infinity. */ |
---|
| 2356 | #ifdef USE_INFINITY |
---|
| 2357 | *y |= (unsigned short) 0x7f80; |
---|
| 2358 | #ifdef IBMPC |
---|
| 2359 | *(--y) = 0; |
---|
| 2360 | #endif |
---|
| 2361 | #ifdef DEC |
---|
| 2362 | *(--y) = 0; |
---|
| 2363 | #endif |
---|
| 2364 | #ifdef MIEEE |
---|
| 2365 | ++y; |
---|
| 2366 | *y = 0; |
---|
| 2367 | #endif |
---|
| 2368 | #else /* !USE_INFINITY */ |
---|
| 2369 | *y |= (unsigned short) 0x7f7f; |
---|
| 2370 | #ifdef IBMPC |
---|
| 2371 | *(--y) = 0xffff; |
---|
| 2372 | #endif |
---|
| 2373 | #ifdef DEC |
---|
| 2374 | *(--y) = 0xffff; |
---|
| 2375 | #endif |
---|
| 2376 | #ifdef MIEEE |
---|
| 2377 | ++y; |
---|
| 2378 | *y = 0xffff; |
---|
| 2379 | #endif |
---|
| 2380 | #endif /* !USE_INFINITY */ |
---|
| 2381 | return; |
---|
| 2382 | } |
---|
| 2383 | if (i == 0) |
---|
| 2384 | { |
---|
| 2385 | (void) eshift (x, 7); |
---|
| 2386 | } |
---|
| 2387 | else |
---|
| 2388 | { |
---|
| 2389 | i <<= 7; |
---|
| 2390 | (void) eshift (x, 8); |
---|
| 2391 | } |
---|
| 2392 | i |= *p++ & (unsigned short) 0x7f; /* *p = xi[M] */ |
---|
| 2393 | *y |= i; /* high order output already has sign bit set */ |
---|
| 2394 | #ifdef IBMPC |
---|
| 2395 | *(--y) = *p; |
---|
| 2396 | #endif |
---|
| 2397 | #ifdef DEC |
---|
| 2398 | *(--y) = *p; |
---|
| 2399 | #endif |
---|
| 2400 | #ifdef MIEEE |
---|
| 2401 | ++y; |
---|
| 2402 | *y = *p; |
---|
| 2403 | #endif |
---|
| 2404 | } |
---|
| 2405 | #endif /* LDBL_MANT_DIG == 24 */ |
---|
| 2406 | |
---|
| 2407 | /* Compare two e type numbers. |
---|
| 2408 | * |
---|
| 2409 | * unsigned short a[NE], b[NE]; |
---|
| 2410 | * ecmp( a, b ); |
---|
| 2411 | * |
---|
| 2412 | * returns +1 if a > b |
---|
| 2413 | * 0 if a == b |
---|
| 2414 | * -1 if a < b |
---|
| 2415 | * -2 if either a or b is a NaN. |
---|
| 2416 | */ |
---|
| 2417 | static int |
---|
| 2418 | ecmp (const short unsigned int *a, const short unsigned int *b) |
---|
| 2419 | { |
---|
| 2420 | unsigned short ai[NI], bi[NI]; |
---|
| 2421 | register unsigned short *p, *q; |
---|
| 2422 | register int i; |
---|
| 2423 | int msign; |
---|
| 2424 | |
---|
| 2425 | #ifdef NANS |
---|
| 2426 | if (eisnan (a) || eisnan (b)) |
---|
| 2427 | return (-2); |
---|
| 2428 | #endif |
---|
| 2429 | emovi (a, ai); |
---|
| 2430 | p = ai; |
---|
| 2431 | emovi (b, bi); |
---|
| 2432 | q = bi; |
---|
| 2433 | |
---|
| 2434 | if (*p != *q) |
---|
| 2435 | { /* the signs are different */ |
---|
| 2436 | /* -0 equals + 0 */ |
---|
| 2437 | for (i = 1; i < NI - 1; i++) |
---|
| 2438 | { |
---|
| 2439 | if (ai[i] != 0) |
---|
| 2440 | goto nzro; |
---|
| 2441 | if (bi[i] != 0) |
---|
| 2442 | goto nzro; |
---|
| 2443 | } |
---|
| 2444 | return (0); |
---|
| 2445 | nzro: |
---|
| 2446 | if (*p == 0) |
---|
| 2447 | return (1); |
---|
| 2448 | else |
---|
| 2449 | return (-1); |
---|
| 2450 | } |
---|
| 2451 | /* both are the same sign */ |
---|
| 2452 | if (*p == 0) |
---|
| 2453 | msign = 1; |
---|
| 2454 | else |
---|
| 2455 | msign = -1; |
---|
| 2456 | i = NI - 1; |
---|
| 2457 | do |
---|
| 2458 | { |
---|
| 2459 | if (*p++ != *q++) |
---|
| 2460 | { |
---|
| 2461 | goto diff; |
---|
| 2462 | } |
---|
| 2463 | } |
---|
| 2464 | while (--i > 0); |
---|
| 2465 | |
---|
| 2466 | return (0); /* equality */ |
---|
| 2467 | |
---|
| 2468 | |
---|
| 2469 | |
---|
| 2470 | diff: |
---|
| 2471 | |
---|
| 2472 | if (*(--p) > *(--q)) |
---|
| 2473 | return (msign); /* p is bigger */ |
---|
| 2474 | else |
---|
| 2475 | return (-msign); /* p is littler */ |
---|
| 2476 | } |
---|
| 2477 | |
---|
| 2478 | |
---|
| 2479 | /* |
---|
| 2480 | ; Shift significand |
---|
| 2481 | ; |
---|
| 2482 | ; Shifts significand area up or down by the number of bits |
---|
| 2483 | ; given by the variable sc. |
---|
| 2484 | */ |
---|
| 2485 | static int |
---|
| 2486 | eshift (short unsigned int *x, int sc) |
---|
| 2487 | { |
---|
| 2488 | unsigned short lost; |
---|
| 2489 | unsigned short *p; |
---|
| 2490 | |
---|
| 2491 | if (sc == 0) |
---|
| 2492 | return (0); |
---|
| 2493 | |
---|
| 2494 | lost = 0; |
---|
| 2495 | p = x + NI - 1; |
---|
| 2496 | |
---|
| 2497 | if (sc < 0) |
---|
| 2498 | { |
---|
| 2499 | sc = -sc; |
---|
| 2500 | while (sc >= 16) |
---|
| 2501 | { |
---|
| 2502 | lost |= *p; /* remember lost bits */ |
---|
| 2503 | eshdn6 (x); |
---|
| 2504 | sc -= 16; |
---|
| 2505 | } |
---|
| 2506 | |
---|
| 2507 | while (sc >= 8) |
---|
| 2508 | { |
---|
| 2509 | lost |= *p & 0xff; |
---|
| 2510 | eshdn8 (x); |
---|
| 2511 | sc -= 8; |
---|
| 2512 | } |
---|
| 2513 | |
---|
| 2514 | while (sc > 0) |
---|
| 2515 | { |
---|
| 2516 | lost |= *p & 1; |
---|
| 2517 | eshdn1 (x); |
---|
| 2518 | sc -= 1; |
---|
| 2519 | } |
---|
| 2520 | } |
---|
| 2521 | else |
---|
| 2522 | { |
---|
| 2523 | while (sc >= 16) |
---|
| 2524 | { |
---|
| 2525 | eshup6 (x); |
---|
| 2526 | sc -= 16; |
---|
| 2527 | } |
---|
| 2528 | |
---|
| 2529 | while (sc >= 8) |
---|
| 2530 | { |
---|
| 2531 | eshup8 (x); |
---|
| 2532 | sc -= 8; |
---|
| 2533 | } |
---|
| 2534 | |
---|
| 2535 | while (sc > 0) |
---|
| 2536 | { |
---|
| 2537 | eshup1 (x); |
---|
| 2538 | sc -= 1; |
---|
| 2539 | } |
---|
| 2540 | } |
---|
| 2541 | if (lost) |
---|
| 2542 | lost = 1; |
---|
| 2543 | return ((int) lost); |
---|
| 2544 | } |
---|
| 2545 | |
---|
| 2546 | |
---|
| 2547 | |
---|
| 2548 | /* |
---|
| 2549 | ; normalize |
---|
| 2550 | ; |
---|
| 2551 | ; Shift normalizes the significand area pointed to by argument |
---|
| 2552 | ; shift count (up = positive) is returned. |
---|
| 2553 | */ |
---|
| 2554 | static int |
---|
| 2555 | enormlz (short unsigned int *x) |
---|
| 2556 | { |
---|
| 2557 | register unsigned short *p; |
---|
| 2558 | int sc; |
---|
| 2559 | |
---|
| 2560 | sc = 0; |
---|
| 2561 | p = &x[M]; |
---|
| 2562 | if (*p != 0) |
---|
| 2563 | goto normdn; |
---|
| 2564 | ++p; |
---|
| 2565 | if (*p & 0x8000) |
---|
| 2566 | return (0); /* already normalized */ |
---|
| 2567 | while (*p == 0) |
---|
| 2568 | { |
---|
| 2569 | eshup6 (x); |
---|
| 2570 | sc += 16; |
---|
| 2571 | /* With guard word, there are NBITS+16 bits available. |
---|
| 2572 | * return true if all are zero. |
---|
| 2573 | */ |
---|
| 2574 | if (sc > NBITS) |
---|
| 2575 | return (sc); |
---|
| 2576 | } |
---|
| 2577 | /* see if high byte is zero */ |
---|
| 2578 | while ((*p & 0xff00) == 0) |
---|
| 2579 | { |
---|
| 2580 | eshup8 (x); |
---|
| 2581 | sc += 8; |
---|
| 2582 | } |
---|
| 2583 | /* now shift 1 bit at a time */ |
---|
| 2584 | while ((*p & 0x8000) == 0) |
---|
| 2585 | { |
---|
| 2586 | eshup1 (x); |
---|
| 2587 | sc += 1; |
---|
| 2588 | if (sc > (NBITS + 16)) |
---|
| 2589 | { |
---|
| 2590 | mtherr ("enormlz", UNDERFLOW); |
---|
| 2591 | return (sc); |
---|
| 2592 | } |
---|
| 2593 | } |
---|
| 2594 | return (sc); |
---|
| 2595 | |
---|
| 2596 | /* Normalize by shifting down out of the high guard word |
---|
| 2597 | of the significand */ |
---|
| 2598 | normdn: |
---|
| 2599 | |
---|
| 2600 | if (*p & 0xff00) |
---|
| 2601 | { |
---|
| 2602 | eshdn8 (x); |
---|
| 2603 | sc -= 8; |
---|
| 2604 | } |
---|
| 2605 | while (*p != 0) |
---|
| 2606 | { |
---|
| 2607 | eshdn1 (x); |
---|
| 2608 | sc -= 1; |
---|
| 2609 | |
---|
| 2610 | if (sc < -NBITS) |
---|
| 2611 | { |
---|
| 2612 | mtherr ("enormlz", OVERFLOW); |
---|
| 2613 | return (sc); |
---|
| 2614 | } |
---|
| 2615 | } |
---|
| 2616 | return (sc); |
---|
| 2617 | } |
---|
| 2618 | |
---|
| 2619 | |
---|
| 2620 | |
---|
| 2621 | |
---|
| 2622 | /* Convert e type number to decimal format ASCII string. |
---|
| 2623 | * The constants are for 64 bit precision. |
---|
| 2624 | */ |
---|
| 2625 | |
---|
| 2626 | #define NTEN 12 |
---|
| 2627 | #define MAXP 4096 |
---|
| 2628 | |
---|
| 2629 | #if NE == 10 |
---|
| 2630 | static const unsigned short etens[NTEN + 1][NE] = { |
---|
| 2631 | {0x6576, 0x4a92, 0x804a, 0x153f, |
---|
| 2632 | 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ |
---|
| 2633 | {0x6a32, 0xce52, 0x329a, 0x28ce, |
---|
| 2634 | 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ |
---|
| 2635 | {0x526c, 0x50ce, 0xf18b, 0x3d28, |
---|
| 2636 | 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, |
---|
| 2637 | {0x9c66, 0x58f8, 0xbc50, 0x5c54, |
---|
| 2638 | 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, |
---|
| 2639 | {0x851e, 0xeab7, 0x98fe, 0x901b, |
---|
| 2640 | 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, |
---|
| 2641 | {0x0235, 0x0137, 0x36b1, 0x336c, |
---|
| 2642 | 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, |
---|
| 2643 | {0x50f8, 0x25fb, 0xc76b, 0x6b71, |
---|
| 2644 | 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, |
---|
| 2645 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2646 | 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, |
---|
| 2647 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2648 | 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, |
---|
| 2649 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2650 | 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, |
---|
| 2651 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2652 | 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, |
---|
| 2653 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2654 | 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, |
---|
| 2655 | {0x0000, 0x0000, 0x0000, 0x0000, |
---|
| 2656 | 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ |
---|
| 2657 | }; |
---|
| 2658 | |
---|
| 2659 | static const unsigned short emtens[NTEN + 1][NE] = { |
---|
| 2660 | {0x2030, 0xcffc, 0xa1c3, 0x8123, |
---|
| 2661 | 0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ |
---|
| 2662 | {0x8264, 0xd2cb, 0xf2ea, 0x12d4, |
---|
| 2663 | 0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ |
---|
| 2664 | {0xf53f, 0xf698, 0x6bd3, 0x0158, |
---|
| 2665 | 0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, |
---|
| 2666 | {0xe731, 0x04d4, 0xe3f2, 0xd332, |
---|
| 2667 | 0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, |
---|
| 2668 | {0xa23e, 0x5308, 0xfefb, 0x1155, |
---|
| 2669 | 0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, |
---|
| 2670 | {0xe26d, 0xdbde, 0xd05d, 0xb3f6, |
---|
| 2671 | 0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, |
---|
| 2672 | {0x2a20, 0x6224, 0x47b3, 0x98d7, |
---|
| 2673 | 0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, |
---|
| 2674 | {0x0b5b, 0x4af2, 0xa581, 0x18ed, |
---|
| 2675 | 0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, |
---|
| 2676 | {0xbf71, 0xa9b3, 0x7989, 0xbe68, |
---|
| 2677 | 0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, |
---|
| 2678 | {0x3d4d, 0x7c3d, 0x36ba, 0x0d2b, |
---|
| 2679 | 0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, |
---|
| 2680 | {0xc155, 0xa4a8, 0x404e, 0x6113, |
---|
| 2681 | 0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, |
---|
| 2682 | {0xd70a, 0x70a3, 0x0a3d, 0xa3d7, |
---|
| 2683 | 0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, |
---|
| 2684 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, |
---|
| 2685 | 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ |
---|
| 2686 | }; |
---|
| 2687 | #else |
---|
| 2688 | static const unsigned short etens[NTEN + 1][NE] = { |
---|
| 2689 | {0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */ |
---|
| 2690 | {0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */ |
---|
| 2691 | {0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,}, |
---|
| 2692 | {0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,}, |
---|
| 2693 | {0xddbc, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,}, |
---|
| 2694 | {0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,}, |
---|
| 2695 | {0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,}, |
---|
| 2696 | {0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,}, |
---|
| 2697 | {0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,}, |
---|
| 2698 | {0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,}, |
---|
| 2699 | {0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,}, |
---|
| 2700 | {0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,}, |
---|
| 2701 | {0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */ |
---|
| 2702 | }; |
---|
| 2703 | |
---|
| 2704 | static const unsigned short emtens[NTEN + 1][NE] = { |
---|
| 2705 | {0x2de4, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */ |
---|
| 2706 | {0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */ |
---|
| 2707 | {0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,}, |
---|
| 2708 | {0x7133, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,}, |
---|
| 2709 | {0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,}, |
---|
| 2710 | {0xac7d, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,}, |
---|
| 2711 | {0x3f24, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,}, |
---|
| 2712 | {0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,}, |
---|
| 2713 | {0x4c2f, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,}, |
---|
| 2714 | {0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,}, |
---|
| 2715 | {0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,}, |
---|
| 2716 | {0x3d71, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,}, |
---|
| 2717 | {0xcccd, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */ |
---|
| 2718 | }; |
---|
| 2719 | #endif |
---|
| 2720 | |
---|
| 2721 | |
---|
| 2722 | |
---|
| 2723 | /* ASCII string outputs for unix */ |
---|
| 2724 | |
---|
| 2725 | |
---|
| 2726 | #if 0 |
---|
| 2727 | void |
---|
| 2728 | _IO_ldtostr (x, string, ndigs, flags, fmt) |
---|
| 2729 | long double *x; |
---|
| 2730 | char *string; |
---|
| 2731 | int ndigs; |
---|
| 2732 | int flags; |
---|
| 2733 | char fmt; |
---|
| 2734 | { |
---|
| 2735 | unsigned short w[NI]; |
---|
| 2736 | char *t, *u; |
---|
| 2737 | LDPARMS rnd; |
---|
| 2738 | LDPARMS *ldp = &rnd; |
---|
| 2739 | |
---|
| 2740 | rnd.rlast = -1; |
---|
| 2741 | rnd.rndprc = NBITS; |
---|
| 2742 | |
---|
| 2743 | if (sizeof (long double) == 16) |
---|
| 2744 | e113toe ((unsigned short *) x, w, ldp); |
---|
| 2745 | else |
---|
| 2746 | e64toe ((unsigned short *) x, w, ldp); |
---|
| 2747 | |
---|
| 2748 | etoasc (w, string, ndigs, -1, ldp); |
---|
| 2749 | if (ndigs == 0 && flags == 0) |
---|
| 2750 | { |
---|
| 2751 | /* Delete the decimal point unless alternate format. */ |
---|
| 2752 | t = string; |
---|
| 2753 | while (*t != '.') |
---|
| 2754 | ++t; |
---|
| 2755 | u = t + 1; |
---|
| 2756 | while (*t != '\0') |
---|
| 2757 | *t++ = *u++; |
---|
| 2758 | } |
---|
| 2759 | if (*string == ' ') |
---|
| 2760 | { |
---|
| 2761 | t = string; |
---|
| 2762 | u = t + 1; |
---|
| 2763 | while (*t != '\0') |
---|
| 2764 | *t++ = *u++; |
---|
| 2765 | } |
---|
| 2766 | if (fmt == 'E') |
---|
| 2767 | { |
---|
| 2768 | t = string; |
---|
| 2769 | while (*t != 'e') |
---|
| 2770 | ++t; |
---|
| 2771 | *t = 'E'; |
---|
| 2772 | } |
---|
| 2773 | } |
---|
| 2774 | |
---|
| 2775 | #endif |
---|
| 2776 | |
---|
| 2777 | /* This routine will not return more than NDEC+1 digits. */ |
---|
| 2778 | |
---|
| 2779 | char * |
---|
| 2780 | _ldtoa_r (struct _reent *ptr, long double d, int mode, int ndigits, |
---|
| 2781 | int *decpt, int *sign, char **rve) |
---|
| 2782 | { |
---|
| 2783 | unsigned short e[NI]; |
---|
| 2784 | char *s, *p; |
---|
| 2785 | int i, j, k; |
---|
| 2786 | int orig_ndigits; |
---|
| 2787 | LDPARMS rnd; |
---|
| 2788 | LDPARMS *ldp = &rnd; |
---|
| 2789 | char *outstr; |
---|
| 2790 | char outbuf[NDEC + MAX_EXP_DIGITS + 10]; |
---|
| 2791 | union uconv du; |
---|
| 2792 | du.d = d; |
---|
| 2793 | |
---|
| 2794 | orig_ndigits = ndigits; |
---|
| 2795 | rnd.rlast = -1; |
---|
| 2796 | rnd.rndprc = NBITS; |
---|
| 2797 | |
---|
| 2798 | _REENT_CHECK_MP (ptr); |
---|
| 2799 | |
---|
| 2800 | /* reentrancy addition to use mprec storage pool */ |
---|
| 2801 | if (_REENT_MP_RESULT (ptr)) |
---|
| 2802 | { |
---|
| 2803 | _REENT_MP_RESULT (ptr)->_k = _REENT_MP_RESULT_K (ptr); |
---|
| 2804 | _REENT_MP_RESULT (ptr)->_maxwds = 1 << _REENT_MP_RESULT_K (ptr); |
---|
| 2805 | Bfree (ptr, _REENT_MP_RESULT (ptr)); |
---|
| 2806 | _REENT_MP_RESULT (ptr) = 0; |
---|
| 2807 | } |
---|
| 2808 | |
---|
| 2809 | #if LDBL_MANT_DIG == 24 |
---|
| 2810 | e24toe (&du.pe, e, ldp); |
---|
| 2811 | #elif LDBL_MANT_DIG == 53 |
---|
| 2812 | e53toe (&du.pe, e, ldp); |
---|
| 2813 | #elif LDBL_MANT_DIG == 64 |
---|
| 2814 | e64toe (&du.pe, e, ldp); |
---|
| 2815 | #else |
---|
| 2816 | e113toe (&du.pe, e, ldp); |
---|
| 2817 | #endif |
---|
| 2818 | |
---|
| 2819 | if (eisneg (e)) |
---|
| 2820 | *sign = 1; |
---|
| 2821 | else |
---|
| 2822 | *sign = 0; |
---|
| 2823 | /* Mode 3 is "f" format. */ |
---|
| 2824 | if (mode != 3) |
---|
| 2825 | ndigits -= 1; |
---|
| 2826 | /* Mode 0 is for %.999 format, which is supposed to give a |
---|
| 2827 | minimum length string that will convert back to the same binary value. |
---|
| 2828 | For now, just ask for 20 digits which is enough but sometimes too many. */ |
---|
| 2829 | if (mode == 0) |
---|
| 2830 | ndigits = 20; |
---|
| 2831 | |
---|
| 2832 | /* This sanity limit must agree with the corresponding one in etoasc, to |
---|
| 2833 | keep straight the returned value of outexpon. */ |
---|
| 2834 | if (ndigits > NDEC) |
---|
| 2835 | ndigits = NDEC; |
---|
| 2836 | |
---|
| 2837 | etoasc (e, outbuf, ndigits, mode, ldp); |
---|
| 2838 | s = outbuf; |
---|
| 2839 | if (eisinf (e) || eisnan (e)) |
---|
| 2840 | { |
---|
| 2841 | *decpt = 9999; |
---|
| 2842 | goto stripspaces; |
---|
| 2843 | } |
---|
| 2844 | *decpt = ldp->outexpon + 1; |
---|
| 2845 | |
---|
| 2846 | /* Transform the string returned by etoasc into what the caller wants. */ |
---|
| 2847 | |
---|
| 2848 | /* Look for decimal point and delete it from the string. */ |
---|
| 2849 | s = outbuf; |
---|
| 2850 | while (*s != '\0') |
---|
| 2851 | { |
---|
| 2852 | if (*s == '.') |
---|
| 2853 | goto yesdecpt; |
---|
| 2854 | ++s; |
---|
| 2855 | } |
---|
| 2856 | goto nodecpt; |
---|
| 2857 | |
---|
| 2858 | yesdecpt: |
---|
| 2859 | |
---|
| 2860 | /* Delete the decimal point. */ |
---|
| 2861 | while (*s != '\0') |
---|
| 2862 | { |
---|
| 2863 | *s = *(s + 1); |
---|
| 2864 | ++s; |
---|
| 2865 | } |
---|
| 2866 | |
---|
| 2867 | nodecpt: |
---|
| 2868 | |
---|
| 2869 | /* Back up over the exponent field. */ |
---|
| 2870 | while (*s != 'E' && s > outbuf) |
---|
| 2871 | --s; |
---|
| 2872 | *s = '\0'; |
---|
| 2873 | |
---|
| 2874 | stripspaces: |
---|
| 2875 | |
---|
| 2876 | /* Strip leading spaces and sign. */ |
---|
| 2877 | p = outbuf; |
---|
| 2878 | while (*p == ' ' || *p == '-') |
---|
| 2879 | ++p; |
---|
| 2880 | |
---|
| 2881 | /* Find new end of string. */ |
---|
| 2882 | s = outbuf; |
---|
| 2883 | while ((*s++ = *p++) != '\0') |
---|
| 2884 | ; |
---|
| 2885 | --s; |
---|
| 2886 | |
---|
| 2887 | /* Strip trailing zeros. */ |
---|
| 2888 | if (mode == 2) |
---|
| 2889 | k = 1; |
---|
| 2890 | else if (ndigits > ldp->outexpon) |
---|
| 2891 | k = ndigits; |
---|
| 2892 | else |
---|
| 2893 | k = ldp->outexpon; |
---|
| 2894 | |
---|
| 2895 | while (*(s - 1) == '0' && ((s - outbuf) > k)) |
---|
| 2896 | *(--s) = '\0'; |
---|
| 2897 | |
---|
| 2898 | /* In f format, flush small off-scale values to zero. |
---|
| 2899 | Rounding has been taken care of by etoasc. */ |
---|
| 2900 | if (mode == 3 && ((ndigits + ldp->outexpon) < 0)) |
---|
| 2901 | { |
---|
| 2902 | s = outbuf; |
---|
| 2903 | *s = '\0'; |
---|
| 2904 | *decpt = 0; |
---|
| 2905 | } |
---|
| 2906 | |
---|
| 2907 | /* reentrancy addition to use mprec storage pool */ |
---|
| 2908 | /* we want to have enough space to hold the formatted result */ |
---|
| 2909 | |
---|
| 2910 | if (mode == 3) /* f format, account for sign + dec digits + decpt + frac */ |
---|
| 2911 | i = *decpt + orig_ndigits + 3; |
---|
| 2912 | else /* account for sign + max precision digs + E + exp sign + exponent */ |
---|
| 2913 | i = orig_ndigits + MAX_EXP_DIGITS + 4; |
---|
| 2914 | |
---|
| 2915 | j = sizeof (__ULong); |
---|
| 2916 | for (_REENT_MP_RESULT_K (ptr) = 0; |
---|
| 2917 | sizeof (_Bigint) - sizeof (__ULong) + j <= i; j <<= 1) |
---|
| 2918 | _REENT_MP_RESULT_K (ptr)++; |
---|
| 2919 | _REENT_MP_RESULT (ptr) = Balloc (ptr, _REENT_MP_RESULT_K (ptr)); |
---|
| 2920 | |
---|
| 2921 | /* Copy from internal temporary buffer to permanent buffer. */ |
---|
| 2922 | outstr = (char *) _REENT_MP_RESULT (ptr); |
---|
| 2923 | strcpy (outstr, outbuf); |
---|
| 2924 | |
---|
| 2925 | if (rve) |
---|
| 2926 | *rve = outstr + (s - outbuf); |
---|
| 2927 | |
---|
| 2928 | return outstr; |
---|
| 2929 | } |
---|
| 2930 | |
---|
| 2931 | /* Routine used to tell if long double is NaN or Infinity or regular number. |
---|
| 2932 | Returns: 0 = regular number |
---|
| 2933 | 1 = Nan |
---|
| 2934 | 2 = Infinity |
---|
| 2935 | */ |
---|
| 2936 | int |
---|
| 2937 | _ldcheck (long double *d) |
---|
| 2938 | { |
---|
| 2939 | unsigned short e[NI]; |
---|
| 2940 | LDPARMS rnd; |
---|
| 2941 | LDPARMS *ldp = &rnd; |
---|
| 2942 | |
---|
| 2943 | union uconv du; |
---|
| 2944 | |
---|
| 2945 | rnd.rlast = -1; |
---|
| 2946 | rnd.rndprc = NBITS; |
---|
| 2947 | du.d = *d; |
---|
| 2948 | #if LDBL_MANT_DIG == 24 |
---|
| 2949 | e24toe (&du.pe, e, ldp); |
---|
| 2950 | #elif LDBL_MANT_DIG == 53 |
---|
| 2951 | e53toe (&du.pe, e, ldp); |
---|
| 2952 | #elif LDBL_MANT_DIG == 64 |
---|
| 2953 | e64toe (&du.pe, e, ldp); |
---|
| 2954 | #else |
---|
| 2955 | e113toe (&du.pe, e, ldp); |
---|
| 2956 | #endif |
---|
| 2957 | |
---|
| 2958 | if ((e[NE - 1] & 0x7fff) == 0x7fff) |
---|
| 2959 | { |
---|
| 2960 | #ifdef NANS |
---|
| 2961 | if (eisnan (e)) |
---|
| 2962 | return (1); |
---|
| 2963 | #endif |
---|
| 2964 | return (2); |
---|
| 2965 | } |
---|
| 2966 | else |
---|
| 2967 | return (0); |
---|
| 2968 | } /* _ldcheck */ |
---|
| 2969 | |
---|
| 2970 | static void |
---|
| 2971 | etoasc (short unsigned int *x, char *string, int ndigits, int outformat, |
---|
| 2972 | LDPARMS * ldp) |
---|
| 2973 | { |
---|
| 2974 | long digit; |
---|
| 2975 | unsigned short y[NI], t[NI], u[NI], w[NI]; |
---|
| 2976 | const unsigned short *p, *r, *ten; |
---|
| 2977 | unsigned short sign; |
---|
| 2978 | int i, j, k, expon, rndsav, ndigs; |
---|
| 2979 | char *s, *ss; |
---|
| 2980 | unsigned short m; |
---|
| 2981 | unsigned short *equot = ldp->equot; |
---|
| 2982 | |
---|
| 2983 | ndigs = ndigits; |
---|
| 2984 | rndsav = ldp->rndprc; |
---|
| 2985 | #ifdef NANS |
---|
| 2986 | if (eisnan (x)) |
---|
| 2987 | { |
---|
| 2988 | sprintf (string, " NaN "); |
---|
| 2989 | expon = 9999; |
---|
| 2990 | goto bxit; |
---|
| 2991 | } |
---|
| 2992 | #endif |
---|
| 2993 | ldp->rndprc = NBITS; /* set to full precision */ |
---|
| 2994 | emov (x, y); /* retain external format */ |
---|
| 2995 | if (y[NE - 1] & 0x8000) |
---|
| 2996 | { |
---|
| 2997 | sign = 0xffff; |
---|
| 2998 | y[NE - 1] &= 0x7fff; |
---|
| 2999 | } |
---|
| 3000 | else |
---|
| 3001 | { |
---|
| 3002 | sign = 0; |
---|
| 3003 | } |
---|
| 3004 | expon = 0; |
---|
| 3005 | ten = &etens[NTEN][0]; |
---|
| 3006 | emov (eone, t); |
---|
| 3007 | /* Test for zero exponent */ |
---|
| 3008 | if (y[NE - 1] == 0) |
---|
| 3009 | { |
---|
| 3010 | for (k = 0; k < NE - 1; k++) |
---|
| 3011 | { |
---|
| 3012 | if (y[k] != 0) |
---|
| 3013 | goto tnzro; /* denormalized number */ |
---|
| 3014 | } |
---|
| 3015 | goto isone; /* legal all zeros */ |
---|
| 3016 | } |
---|
| 3017 | tnzro: |
---|
| 3018 | |
---|
| 3019 | /* Test for infinity. |
---|
| 3020 | */ |
---|
| 3021 | if (y[NE - 1] == 0x7fff) |
---|
| 3022 | { |
---|
| 3023 | if (sign) |
---|
| 3024 | sprintf (string, " -Infinity "); |
---|
| 3025 | else |
---|
| 3026 | sprintf (string, " Infinity "); |
---|
| 3027 | expon = 9999; |
---|
| 3028 | goto bxit; |
---|
| 3029 | } |
---|
| 3030 | |
---|
| 3031 | /* Test for exponent nonzero but significand denormalized. |
---|
| 3032 | * This is an error condition. |
---|
| 3033 | */ |
---|
| 3034 | if ((y[NE - 1] != 0) && ((y[NE - 2] & 0x8000) == 0)) |
---|
| 3035 | { |
---|
| 3036 | mtherr ("etoasc", DOMAIN); |
---|
| 3037 | sprintf (string, "NaN"); |
---|
| 3038 | expon = 9999; |
---|
| 3039 | goto bxit; |
---|
| 3040 | } |
---|
| 3041 | |
---|
| 3042 | /* Compare to 1.0 */ |
---|
| 3043 | i = ecmp (eone, y); |
---|
| 3044 | if (i == 0) |
---|
| 3045 | goto isone; |
---|
| 3046 | |
---|
| 3047 | if (i < 0) |
---|
| 3048 | { /* Number is greater than 1 */ |
---|
| 3049 | /* Convert significand to an integer and strip trailing decimal zeros. */ |
---|
| 3050 | emov (y, u); |
---|
| 3051 | u[NE - 1] = EXONE + NBITS - 1; |
---|
| 3052 | |
---|
| 3053 | p = &etens[NTEN - 4][0]; |
---|
| 3054 | m = 16; |
---|
| 3055 | do |
---|
| 3056 | { |
---|
| 3057 | ediv (p, u, t, ldp); |
---|
| 3058 | efloor (t, w, ldp); |
---|
| 3059 | for (j = 0; j < NE - 1; j++) |
---|
| 3060 | { |
---|
| 3061 | if (t[j] != w[j]) |
---|
| 3062 | goto noint; |
---|
| 3063 | } |
---|
| 3064 | emov (t, u); |
---|
| 3065 | expon += (int) m; |
---|
| 3066 | noint: |
---|
| 3067 | p += NE; |
---|
| 3068 | m >>= 1; |
---|
| 3069 | } |
---|
| 3070 | while (m != 0); |
---|
| 3071 | |
---|
| 3072 | /* Rescale from integer significand */ |
---|
| 3073 | u[NE - 1] += y[NE - 1] - (unsigned int) (EXONE + NBITS - 1); |
---|
| 3074 | emov (u, y); |
---|
| 3075 | /* Find power of 10 */ |
---|
| 3076 | emov (eone, t); |
---|
| 3077 | m = MAXP; |
---|
| 3078 | p = &etens[0][0]; |
---|
| 3079 | while (ecmp (ten, u) <= 0) |
---|
| 3080 | { |
---|
| 3081 | if (ecmp (p, u) <= 0) |
---|
| 3082 | { |
---|
| 3083 | ediv (p, u, u, ldp); |
---|
| 3084 | emul (p, t, t, ldp); |
---|
| 3085 | expon += (int) m; |
---|
| 3086 | } |
---|
| 3087 | m >>= 1; |
---|
| 3088 | if (m == 0) |
---|
| 3089 | break; |
---|
| 3090 | p += NE; |
---|
| 3091 | } |
---|
| 3092 | } |
---|
| 3093 | else |
---|
| 3094 | { /* Number is less than 1.0 */ |
---|
| 3095 | /* Pad significand with trailing decimal zeros. */ |
---|
| 3096 | if (y[NE - 1] == 0) |
---|
| 3097 | { |
---|
| 3098 | while ((y[NE - 2] & 0x8000) == 0) |
---|
| 3099 | { |
---|
| 3100 | emul (ten, y, y, ldp); |
---|
| 3101 | expon -= 1; |
---|
| 3102 | } |
---|
| 3103 | } |
---|
| 3104 | else |
---|
| 3105 | { |
---|
| 3106 | emovi (y, w); |
---|
| 3107 | for (i = 0; i < NDEC + 1; i++) |
---|
| 3108 | { |
---|
| 3109 | if ((w[NI - 1] & 0x7) != 0) |
---|
| 3110 | break; |
---|
| 3111 | /* multiply by 10 */ |
---|
| 3112 | emovz (w, u); |
---|
| 3113 | eshdn1 (u); |
---|
| 3114 | eshdn1 (u); |
---|
| 3115 | eaddm (w, u); |
---|
| 3116 | u[1] += 3; |
---|
| 3117 | while (u[2] != 0) |
---|
| 3118 | { |
---|
| 3119 | eshdn1 (u); |
---|
| 3120 | u[1] += 1; |
---|
| 3121 | } |
---|
| 3122 | if (u[NI - 1] != 0) |
---|
| 3123 | break; |
---|
| 3124 | if (eone[NE - 1] <= u[1]) |
---|
| 3125 | break; |
---|
| 3126 | emovz (u, w); |
---|
| 3127 | expon -= 1; |
---|
| 3128 | } |
---|
| 3129 | emovo (w, y, ldp); |
---|
| 3130 | } |
---|
| 3131 | k = -MAXP; |
---|
| 3132 | p = &emtens[0][0]; |
---|
| 3133 | r = &etens[0][0]; |
---|
| 3134 | emov (y, w); |
---|
| 3135 | emov (eone, t); |
---|
| 3136 | while (ecmp (eone, w) > 0) |
---|
| 3137 | { |
---|
| 3138 | if (ecmp (p, w) >= 0) |
---|
| 3139 | { |
---|
| 3140 | emul (r, w, w, ldp); |
---|
| 3141 | emul (r, t, t, ldp); |
---|
| 3142 | expon += k; |
---|
| 3143 | } |
---|
| 3144 | k /= 2; |
---|
| 3145 | if (k == 0) |
---|
| 3146 | break; |
---|
| 3147 | p += NE; |
---|
| 3148 | r += NE; |
---|
| 3149 | } |
---|
| 3150 | ediv (t, eone, t, ldp); |
---|
| 3151 | } |
---|
| 3152 | isone: |
---|
| 3153 | /* Find the first (leading) digit. */ |
---|
| 3154 | emovi (t, w); |
---|
| 3155 | emovz (w, t); |
---|
| 3156 | emovi (y, w); |
---|
| 3157 | emovz (w, y); |
---|
| 3158 | eiremain (t, y, ldp); |
---|
| 3159 | digit = equot[NI - 1]; |
---|
| 3160 | while ((digit == 0) && (ecmp (y, ezero) != 0)) |
---|
| 3161 | { |
---|
| 3162 | eshup1 (y); |
---|
| 3163 | emovz (y, u); |
---|
| 3164 | eshup1 (u); |
---|
| 3165 | eshup1 (u); |
---|
| 3166 | eaddm (u, y); |
---|
| 3167 | eiremain (t, y, ldp); |
---|
| 3168 | digit = equot[NI - 1]; |
---|
| 3169 | expon -= 1; |
---|
| 3170 | } |
---|
| 3171 | s = string; |
---|
| 3172 | if (sign) |
---|
| 3173 | *s++ = '-'; |
---|
| 3174 | else |
---|
| 3175 | *s++ = ' '; |
---|
| 3176 | /* Examine number of digits requested by caller. */ |
---|
| 3177 | if (outformat == 3) |
---|
| 3178 | ndigs += expon; |
---|
| 3179 | /* |
---|
| 3180 | else if( ndigs < 0 ) |
---|
| 3181 | ndigs = 0; |
---|
| 3182 | */ |
---|
| 3183 | if (ndigs > NDEC) |
---|
| 3184 | ndigs = NDEC; |
---|
| 3185 | if (digit == 10) |
---|
| 3186 | { |
---|
| 3187 | *s++ = '1'; |
---|
| 3188 | *s++ = '.'; |
---|
| 3189 | if (ndigs > 0) |
---|
| 3190 | { |
---|
| 3191 | *s++ = '0'; |
---|
| 3192 | ndigs -= 1; |
---|
| 3193 | } |
---|
| 3194 | expon += 1; |
---|
| 3195 | if (ndigs < 0) |
---|
| 3196 | { |
---|
| 3197 | ss = s; |
---|
| 3198 | goto doexp; |
---|
| 3199 | } |
---|
| 3200 | } |
---|
| 3201 | else |
---|
| 3202 | { |
---|
| 3203 | *s++ = (char) digit + '0'; |
---|
| 3204 | *s++ = '.'; |
---|
| 3205 | } |
---|
| 3206 | /* Generate digits after the decimal point. */ |
---|
| 3207 | for (k = 0; k <= ndigs; k++) |
---|
| 3208 | { |
---|
| 3209 | /* multiply current number by 10, without normalizing */ |
---|
| 3210 | eshup1 (y); |
---|
| 3211 | emovz (y, u); |
---|
| 3212 | eshup1 (u); |
---|
| 3213 | eshup1 (u); |
---|
| 3214 | eaddm (u, y); |
---|
| 3215 | eiremain (t, y, ldp); |
---|
| 3216 | *s++ = (char) equot[NI - 1] + '0'; |
---|
| 3217 | } |
---|
| 3218 | digit = equot[NI - 1]; |
---|
| 3219 | --s; |
---|
| 3220 | ss = s; |
---|
| 3221 | /* round off the ASCII string */ |
---|
| 3222 | if (digit > 4) |
---|
| 3223 | { |
---|
| 3224 | /* Test for critical rounding case in ASCII output. */ |
---|
| 3225 | if (digit == 5) |
---|
| 3226 | { |
---|
| 3227 | emovo (y, t, ldp); |
---|
| 3228 | if (ecmp (t, ezero) != 0) |
---|
| 3229 | goto roun; /* round to nearest */ |
---|
| 3230 | if (ndigs < 0 || (*(s - 1 - (*(s - 1) == '.')) & 1) == 0) |
---|
| 3231 | goto doexp; /* round to even */ |
---|
| 3232 | } |
---|
| 3233 | /* Round up and propagate carry-outs */ |
---|
| 3234 | roun: |
---|
| 3235 | --s; |
---|
| 3236 | k = *s & 0x7f; |
---|
| 3237 | /* Carry out to most significant digit? */ |
---|
| 3238 | if (ndigs < 0) |
---|
| 3239 | { |
---|
| 3240 | /* This will print like "1E-6". */ |
---|
| 3241 | *s = '1'; |
---|
| 3242 | expon += 1; |
---|
| 3243 | goto doexp; |
---|
| 3244 | } |
---|
| 3245 | else if (k == '.') |
---|
| 3246 | { |
---|
| 3247 | --s; |
---|
| 3248 | k = *s; |
---|
| 3249 | k += 1; |
---|
| 3250 | *s = (char) k; |
---|
| 3251 | /* Most significant digit carries to 10? */ |
---|
| 3252 | if (k > '9') |
---|
| 3253 | { |
---|
| 3254 | expon += 1; |
---|
| 3255 | *s = '1'; |
---|
| 3256 | } |
---|
| 3257 | goto doexp; |
---|
| 3258 | } |
---|
| 3259 | /* Round up and carry out from less significant digits */ |
---|
| 3260 | k += 1; |
---|
| 3261 | *s = (char) k; |
---|
| 3262 | if (k > '9') |
---|
| 3263 | { |
---|
| 3264 | *s = '0'; |
---|
| 3265 | goto roun; |
---|
| 3266 | } |
---|
| 3267 | } |
---|
| 3268 | doexp: |
---|
| 3269 | #ifdef __GO32__ |
---|
| 3270 | if (expon >= 0) |
---|
| 3271 | sprintf (ss, "e+%02d", expon); |
---|
| 3272 | else |
---|
| 3273 | sprintf (ss, "e-%02d", -expon); |
---|
| 3274 | #else |
---|
| 3275 | sprintf (ss, "E%d", expon); |
---|
| 3276 | #endif |
---|
| 3277 | bxit: |
---|
| 3278 | ldp->rndprc = rndsav; |
---|
| 3279 | ldp->outexpon = expon; |
---|
| 3280 | } |
---|
| 3281 | |
---|
| 3282 | |
---|
| 3283 | #if 0 /* Broken, unusable implementation of strtold */ |
---|
| 3284 | |
---|
| 3285 | /* |
---|
| 3286 | ; ASCTOQ |
---|
| 3287 | ; ASCTOQ.MAC LATEST REV: 11 JAN 84 |
---|
| 3288 | ; SLM, 3 JAN 78 |
---|
| 3289 | ; |
---|
| 3290 | ; Convert ASCII string to quadruple precision floating point |
---|
| 3291 | ; |
---|
| 3292 | ; Numeric input is free field decimal number |
---|
| 3293 | ; with max of 15 digits with or without |
---|
| 3294 | ; decimal point entered as ASCII from teletype. |
---|
| 3295 | ; Entering E after the number followed by a second |
---|
| 3296 | ; number causes the second number to be interpreted |
---|
| 3297 | ; as a power of 10 to be multiplied by the first number |
---|
| 3298 | ; (i.e., "scientific" notation). |
---|
| 3299 | ; |
---|
| 3300 | ; Usage: |
---|
| 3301 | ; asctoq( string, q ); |
---|
| 3302 | */ |
---|
| 3303 | |
---|
| 3304 | long double |
---|
| 3305 | _strtold (char *s, char **se) |
---|
| 3306 | { |
---|
| 3307 | union uconv x; |
---|
| 3308 | LDPARMS rnd; |
---|
| 3309 | LDPARMS *ldp = &rnd; |
---|
| 3310 | int lenldstr; |
---|
| 3311 | |
---|
| 3312 | rnd.rlast = -1; |
---|
| 3313 | rnd.rndprc = NBITS; |
---|
| 3314 | |
---|
| 3315 | lenldstr = asctoeg (s, &x.pe, LDBL_MANT_DIG, ldp); |
---|
| 3316 | if (se) |
---|
| 3317 | *se = s + lenldstr; |
---|
| 3318 | return x.d; |
---|
| 3319 | } |
---|
| 3320 | |
---|
| 3321 | #define REASONABLE_LEN 200 |
---|
| 3322 | |
---|
| 3323 | static int |
---|
| 3324 | asctoeg (char *ss, short unsigned int *y, int oprec, LDPARMS * ldp) |
---|
| 3325 | { |
---|
| 3326 | unsigned short yy[NI], xt[NI], tt[NI]; |
---|
| 3327 | int esign, decflg, sgnflg, nexp, exp, prec, lost; |
---|
| 3328 | int k, trail, c, rndsav; |
---|
| 3329 | long lexp; |
---|
| 3330 | unsigned short nsign; |
---|
| 3331 | const unsigned short *p; |
---|
| 3332 | char *sp, *s, *lstr; |
---|
| 3333 | int lenldstr; |
---|
| 3334 | int mflag = 0; |
---|
| 3335 | char tmpstr[REASONABLE_LEN]; |
---|
| 3336 | |
---|
| 3337 | /* Copy the input string. */ |
---|
| 3338 | c = strlen (ss) + 2; |
---|
| 3339 | if (c <= REASONABLE_LEN) |
---|
| 3340 | lstr = tmpstr; |
---|
| 3341 | else |
---|
| 3342 | { |
---|
| 3343 | lstr = (char *) calloc (c, 1); |
---|
| 3344 | mflag = 1; |
---|
| 3345 | } |
---|
| 3346 | s = ss; |
---|
| 3347 | lenldstr = 0; |
---|
| 3348 | while (*s == ' ') /* skip leading spaces */ |
---|
| 3349 | { |
---|
| 3350 | ++s; |
---|
| 3351 | ++lenldstr; |
---|
| 3352 | } |
---|
| 3353 | sp = lstr; |
---|
| 3354 | for (k = 0; k < c; k++) |
---|
| 3355 | { |
---|
| 3356 | if ((*sp++ = *s++) == '\0') |
---|
| 3357 | break; |
---|
| 3358 | } |
---|
| 3359 | *sp = '\0'; |
---|
| 3360 | s = lstr; |
---|
| 3361 | |
---|
| 3362 | rndsav = ldp->rndprc; |
---|
| 3363 | ldp->rndprc = NBITS; /* Set to full precision */ |
---|
| 3364 | lost = 0; |
---|
| 3365 | nsign = 0; |
---|
| 3366 | decflg = 0; |
---|
| 3367 | sgnflg = 0; |
---|
| 3368 | nexp = 0; |
---|
| 3369 | exp = 0; |
---|
| 3370 | prec = 0; |
---|
| 3371 | ecleaz (yy); |
---|
| 3372 | trail = 0; |
---|
| 3373 | |
---|
| 3374 | nxtcom: |
---|
| 3375 | k = *s - '0'; |
---|
| 3376 | if ((k >= 0) && (k <= 9)) |
---|
| 3377 | { |
---|
| 3378 | /* Ignore leading zeros */ |
---|
| 3379 | if ((prec == 0) && (decflg == 0) && (k == 0)) |
---|
| 3380 | goto donchr; |
---|
| 3381 | /* Identify and strip trailing zeros after the decimal point. */ |
---|
| 3382 | if ((trail == 0) && (decflg != 0)) |
---|
| 3383 | { |
---|
| 3384 | sp = s; |
---|
| 3385 | while ((*sp >= '0') && (*sp <= '9')) |
---|
| 3386 | ++sp; |
---|
| 3387 | /* Check for syntax error */ |
---|
| 3388 | c = *sp & 0x7f; |
---|
| 3389 | if ((c != 'e') && (c != 'E') && (c != '\0') |
---|
| 3390 | && (c != '\n') && (c != '\r') && (c != ' ') && (c != ',')) |
---|
| 3391 | goto error; |
---|
| 3392 | --sp; |
---|
| 3393 | while (*sp == '0') |
---|
| 3394 | *sp-- = 'z'; |
---|
| 3395 | trail = 1; |
---|
| 3396 | if (*s == 'z') |
---|
| 3397 | goto donchr; |
---|
| 3398 | } |
---|
| 3399 | /* If enough digits were given to more than fill up the yy register, |
---|
| 3400 | * continuing until overflow into the high guard word yy[2] |
---|
| 3401 | * guarantees that there will be a roundoff bit at the top |
---|
| 3402 | * of the low guard word after normalization. |
---|
| 3403 | */ |
---|
| 3404 | if (yy[2] == 0) |
---|
| 3405 | { |
---|
| 3406 | if (decflg) |
---|
| 3407 | nexp += 1; /* count digits after decimal point */ |
---|
| 3408 | eshup1 (yy); /* multiply current number by 10 */ |
---|
| 3409 | emovz (yy, xt); |
---|
| 3410 | eshup1 (xt); |
---|
| 3411 | eshup1 (xt); |
---|
| 3412 | eaddm (xt, yy); |
---|
| 3413 | ecleaz (xt); |
---|
| 3414 | xt[NI - 2] = (unsigned short) k; |
---|
| 3415 | eaddm (xt, yy); |
---|
| 3416 | } |
---|
| 3417 | else |
---|
| 3418 | { |
---|
| 3419 | /* Mark any lost non-zero digit. */ |
---|
| 3420 | lost |= k; |
---|
| 3421 | /* Count lost digits before the decimal point. */ |
---|
| 3422 | if (decflg == 0) |
---|
| 3423 | nexp -= 1; |
---|
| 3424 | } |
---|
| 3425 | prec += 1; |
---|
| 3426 | goto donchr; |
---|
| 3427 | } |
---|
| 3428 | |
---|
| 3429 | switch (*s) |
---|
| 3430 | { |
---|
| 3431 | case 'z': |
---|
| 3432 | break; |
---|
| 3433 | case 'E': |
---|
| 3434 | case 'e': |
---|
| 3435 | goto expnt; |
---|
| 3436 | case '.': /* decimal point */ |
---|
| 3437 | if (decflg) |
---|
| 3438 | goto error; |
---|
| 3439 | ++decflg; |
---|
| 3440 | break; |
---|
| 3441 | case '-': |
---|
| 3442 | nsign = 0xffff; |
---|
| 3443 | if (sgnflg) |
---|
| 3444 | goto error; |
---|
| 3445 | ++sgnflg; |
---|
| 3446 | break; |
---|
| 3447 | case '+': |
---|
| 3448 | if (sgnflg) |
---|
| 3449 | goto error; |
---|
| 3450 | ++sgnflg; |
---|
| 3451 | break; |
---|
| 3452 | case ',': |
---|
| 3453 | case ' ': |
---|
| 3454 | case '\0': |
---|
| 3455 | case '\n': |
---|
| 3456 | case '\r': |
---|
| 3457 | goto daldone; |
---|
| 3458 | case 'i': |
---|
| 3459 | case 'I': |
---|
| 3460 | goto infinite; |
---|
| 3461 | default: |
---|
| 3462 | error: |
---|
| 3463 | #ifdef NANS |
---|
| 3464 | enan (yy, NI * 16); |
---|
| 3465 | #else |
---|
| 3466 | mtherr ("asctoe", DOMAIN); |
---|
| 3467 | ecleaz (yy); |
---|
| 3468 | #endif |
---|
| 3469 | goto aexit; |
---|
| 3470 | } |
---|
| 3471 | donchr: |
---|
| 3472 | ++s; |
---|
| 3473 | goto nxtcom; |
---|
| 3474 | |
---|
| 3475 | /* Exponent interpretation */ |
---|
| 3476 | expnt: |
---|
| 3477 | |
---|
| 3478 | esign = 1; |
---|
| 3479 | exp = 0; |
---|
| 3480 | ++s; |
---|
| 3481 | /* check for + or - */ |
---|
| 3482 | if (*s == '-') |
---|
| 3483 | { |
---|
| 3484 | esign = -1; |
---|
| 3485 | ++s; |
---|
| 3486 | } |
---|
| 3487 | if (*s == '+') |
---|
| 3488 | ++s; |
---|
| 3489 | while ((*s >= '0') && (*s <= '9')) |
---|
| 3490 | { |
---|
| 3491 | exp *= 10; |
---|
| 3492 | exp += *s++ - '0'; |
---|
| 3493 | if (exp > 4977) |
---|
| 3494 | { |
---|
| 3495 | if (esign < 0) |
---|
| 3496 | goto zero; |
---|
| 3497 | else |
---|
| 3498 | goto infinite; |
---|
| 3499 | } |
---|
| 3500 | } |
---|
| 3501 | if (esign < 0) |
---|
| 3502 | exp = -exp; |
---|
| 3503 | if (exp > 4932) |
---|
| 3504 | { |
---|
| 3505 | infinite: |
---|
| 3506 | ecleaz (yy); |
---|
| 3507 | yy[E] = 0x7fff; /* infinity */ |
---|
| 3508 | goto aexit; |
---|
| 3509 | } |
---|
| 3510 | if (exp < -4977) |
---|
| 3511 | { |
---|
| 3512 | zero: |
---|
| 3513 | ecleaz (yy); |
---|
| 3514 | goto aexit; |
---|
| 3515 | } |
---|
| 3516 | |
---|
| 3517 | daldone: |
---|
| 3518 | nexp = exp - nexp; |
---|
| 3519 | /* Pad trailing zeros to minimize power of 10, per IEEE spec. */ |
---|
| 3520 | while ((nexp > 0) && (yy[2] == 0)) |
---|
| 3521 | { |
---|
| 3522 | emovz (yy, xt); |
---|
| 3523 | eshup1 (xt); |
---|
| 3524 | eshup1 (xt); |
---|
| 3525 | eaddm (yy, xt); |
---|
| 3526 | eshup1 (xt); |
---|
| 3527 | if (xt[2] != 0) |
---|
| 3528 | break; |
---|
| 3529 | nexp -= 1; |
---|
| 3530 | emovz (xt, yy); |
---|
| 3531 | } |
---|
| 3532 | if ((k = enormlz (yy)) > NBITS) |
---|
| 3533 | { |
---|
| 3534 | ecleaz (yy); |
---|
| 3535 | goto aexit; |
---|
| 3536 | } |
---|
| 3537 | lexp = (EXONE - 1 + NBITS) - k; |
---|
| 3538 | emdnorm (yy, lost, 0, lexp, 64, ldp); |
---|
| 3539 | /* convert to external format */ |
---|
| 3540 | |
---|
| 3541 | |
---|
| 3542 | /* Multiply by 10**nexp. If precision is 64 bits, |
---|
| 3543 | * the maximum relative error incurred in forming 10**n |
---|
| 3544 | * for 0 <= n <= 324 is 8.2e-20, at 10**180. |
---|
| 3545 | * For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947. |
---|
| 3546 | * For 0 >= n >= -999, it is -1.55e-19 at 10**-435. |
---|
| 3547 | */ |
---|
| 3548 | lexp = yy[E]; |
---|
| 3549 | if (nexp == 0) |
---|
| 3550 | { |
---|
| 3551 | k = 0; |
---|
| 3552 | goto expdon; |
---|
| 3553 | } |
---|
| 3554 | esign = 1; |
---|
| 3555 | if (nexp < 0) |
---|
| 3556 | { |
---|
| 3557 | nexp = -nexp; |
---|
| 3558 | esign = -1; |
---|
| 3559 | if (nexp > 4096) |
---|
| 3560 | { /* Punt. Can't handle this without 2 divides. */ |
---|
| 3561 | emovi (etens[0], tt); |
---|
| 3562 | lexp -= tt[E]; |
---|
| 3563 | k = edivm (tt, yy, ldp); |
---|
| 3564 | lexp += EXONE; |
---|
| 3565 | nexp -= 4096; |
---|
| 3566 | } |
---|
| 3567 | } |
---|
| 3568 | p = &etens[NTEN][0]; |
---|
| 3569 | emov (eone, xt); |
---|
| 3570 | exp = 1; |
---|
| 3571 | do |
---|
| 3572 | { |
---|
| 3573 | if (exp & nexp) |
---|
| 3574 | emul (p, xt, xt, ldp); |
---|
| 3575 | p -= NE; |
---|
| 3576 | exp = exp + exp; |
---|
| 3577 | } |
---|
| 3578 | while (exp <= MAXP); |
---|
| 3579 | |
---|
| 3580 | emovi (xt, tt); |
---|
| 3581 | if (esign < 0) |
---|
| 3582 | { |
---|
| 3583 | lexp -= tt[E]; |
---|
| 3584 | k = edivm (tt, yy, ldp); |
---|
| 3585 | lexp += EXONE; |
---|
| 3586 | } |
---|
| 3587 | else |
---|
| 3588 | { |
---|
| 3589 | lexp += tt[E]; |
---|
| 3590 | k = emulm (tt, yy, ldp); |
---|
| 3591 | lexp -= EXONE - 1; |
---|
| 3592 | } |
---|
| 3593 | |
---|
| 3594 | expdon: |
---|
| 3595 | |
---|
| 3596 | /* Round and convert directly to the destination type */ |
---|
| 3597 | if (oprec == 53) |
---|
| 3598 | lexp -= EXONE - 0x3ff; |
---|
| 3599 | else if (oprec == 24) |
---|
| 3600 | lexp -= EXONE - 0177; |
---|
| 3601 | #ifdef DEC |
---|
| 3602 | else if (oprec == 56) |
---|
| 3603 | lexp -= EXONE - 0201; |
---|
| 3604 | #endif |
---|
| 3605 | ldp->rndprc = oprec; |
---|
| 3606 | emdnorm (yy, k, 0, lexp, 64, ldp); |
---|
| 3607 | |
---|
| 3608 | aexit: |
---|
| 3609 | |
---|
| 3610 | ldp->rndprc = rndsav; |
---|
| 3611 | yy[0] = nsign; |
---|
| 3612 | switch (oprec) |
---|
| 3613 | { |
---|
| 3614 | #ifdef DEC |
---|
| 3615 | case 56: |
---|
| 3616 | todec (yy, y); /* see etodec.c */ |
---|
| 3617 | break; |
---|
| 3618 | #endif |
---|
| 3619 | #if LDBL_MANT_DIG == 53 |
---|
| 3620 | case 53: |
---|
| 3621 | toe53 (yy, y); |
---|
| 3622 | break; |
---|
| 3623 | #elif LDBL_MANT_DIG == 24 |
---|
| 3624 | case 24: |
---|
| 3625 | toe24 (yy, y); |
---|
| 3626 | break; |
---|
| 3627 | #elif LDBL_MANT_DIG == 64 |
---|
| 3628 | case 64: |
---|
| 3629 | toe64 (yy, y); |
---|
| 3630 | break; |
---|
| 3631 | #elif LDBL_MANT_DIG == 113 |
---|
| 3632 | case 113: |
---|
| 3633 | toe113 (yy, y); |
---|
| 3634 | break; |
---|
| 3635 | #else |
---|
| 3636 | case NBITS: |
---|
| 3637 | emovo (yy, y, ldp); |
---|
| 3638 | break; |
---|
| 3639 | #endif |
---|
| 3640 | } |
---|
| 3641 | lenldstr += s - lstr; |
---|
| 3642 | if (mflag) |
---|
| 3643 | free (lstr); |
---|
| 3644 | return lenldstr; |
---|
| 3645 | } |
---|
| 3646 | |
---|
| 3647 | #endif |
---|
| 3648 | |
---|
| 3649 | /* y = largest integer not greater than x |
---|
| 3650 | * (truncated toward minus infinity) |
---|
| 3651 | * |
---|
| 3652 | * unsigned short x[NE], y[NE] |
---|
| 3653 | * LDPARMS *ldp |
---|
| 3654 | * |
---|
| 3655 | * efloor( x, y, ldp ); |
---|
| 3656 | */ |
---|
| 3657 | static const unsigned short bmask[] = { |
---|
| 3658 | 0xffff, |
---|
| 3659 | 0xfffe, |
---|
| 3660 | 0xfffc, |
---|
| 3661 | 0xfff8, |
---|
| 3662 | 0xfff0, |
---|
| 3663 | 0xffe0, |
---|
| 3664 | 0xffc0, |
---|
| 3665 | 0xff80, |
---|
| 3666 | 0xff00, |
---|
| 3667 | 0xfe00, |
---|
| 3668 | 0xfc00, |
---|
| 3669 | 0xf800, |
---|
| 3670 | 0xf000, |
---|
| 3671 | 0xe000, |
---|
| 3672 | 0xc000, |
---|
| 3673 | 0x8000, |
---|
| 3674 | 0x0000, |
---|
| 3675 | }; |
---|
| 3676 | |
---|
| 3677 | static void |
---|
| 3678 | efloor (short unsigned int *x, short unsigned int *y, LDPARMS * ldp) |
---|
| 3679 | { |
---|
| 3680 | register unsigned short *p; |
---|
| 3681 | int e, expon, i; |
---|
| 3682 | unsigned short f[NE]; |
---|
| 3683 | |
---|
| 3684 | emov (x, f); /* leave in external format */ |
---|
| 3685 | expon = (int) f[NE - 1]; |
---|
| 3686 | e = (expon & 0x7fff) - (EXONE - 1); |
---|
| 3687 | if (e <= 0) |
---|
| 3688 | { |
---|
| 3689 | eclear (y); |
---|
| 3690 | goto isitneg; |
---|
| 3691 | } |
---|
| 3692 | /* number of bits to clear out */ |
---|
| 3693 | e = NBITS - e; |
---|
| 3694 | emov (f, y); |
---|
| 3695 | if (e <= 0) |
---|
| 3696 | return; |
---|
| 3697 | |
---|
| 3698 | p = &y[0]; |
---|
| 3699 | while (e >= 16) |
---|
| 3700 | { |
---|
| 3701 | *p++ = 0; |
---|
| 3702 | e -= 16; |
---|
| 3703 | } |
---|
| 3704 | /* clear the remaining bits */ |
---|
| 3705 | *p &= bmask[e]; |
---|
| 3706 | /* truncate negatives toward minus infinity */ |
---|
| 3707 | isitneg: |
---|
| 3708 | |
---|
| 3709 | if ((unsigned short) expon & (unsigned short) 0x8000) |
---|
| 3710 | { |
---|
| 3711 | for (i = 0; i < NE - 1; i++) |
---|
| 3712 | { |
---|
| 3713 | if (f[i] != y[i]) |
---|
| 3714 | { |
---|
| 3715 | esub (eone, y, y, ldp); |
---|
| 3716 | break; |
---|
| 3717 | } |
---|
| 3718 | } |
---|
| 3719 | } |
---|
| 3720 | } |
---|
| 3721 | |
---|
| 3722 | |
---|
| 3723 | |
---|
| 3724 | static void |
---|
| 3725 | eiremain (short unsigned int *den, short unsigned int *num, LDPARMS * ldp) |
---|
| 3726 | { |
---|
| 3727 | long ld, ln; |
---|
| 3728 | unsigned short j; |
---|
| 3729 | unsigned short *equot = ldp->equot; |
---|
| 3730 | |
---|
| 3731 | ld = den[E]; |
---|
| 3732 | ld -= enormlz (den); |
---|
| 3733 | ln = num[E]; |
---|
| 3734 | ln -= enormlz (num); |
---|
| 3735 | ecleaz (equot); |
---|
| 3736 | while (ln >= ld) |
---|
| 3737 | { |
---|
| 3738 | if (ecmpm (den, num) <= 0) |
---|
| 3739 | { |
---|
| 3740 | esubm (den, num); |
---|
| 3741 | j = 1; |
---|
| 3742 | } |
---|
| 3743 | else |
---|
| 3744 | { |
---|
| 3745 | j = 0; |
---|
| 3746 | } |
---|
| 3747 | eshup1 (equot); |
---|
| 3748 | equot[NI - 1] |= j; |
---|
| 3749 | eshup1 (num); |
---|
| 3750 | ln -= 1; |
---|
| 3751 | } |
---|
| 3752 | emdnorm (num, 0, 0, ln, 0, ldp); |
---|
| 3753 | } |
---|
| 3754 | |
---|
| 3755 | /* NaN bit patterns |
---|
| 3756 | */ |
---|
| 3757 | #ifdef MIEEE |
---|
| 3758 | #if !defined(__mips) |
---|
| 3759 | static const unsigned short nan113[8] = { |
---|
| 3760 | 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff |
---|
| 3761 | }; |
---|
| 3762 | |
---|
| 3763 | static const unsigned short nan64[6] = { |
---|
| 3764 | 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff |
---|
| 3765 | }; |
---|
| 3766 | static const unsigned short nan53[4] = { 0x7fff, 0xffff, 0xffff, 0xffff }; |
---|
| 3767 | static const unsigned short nan24[2] = { 0x7fff, 0xffff }; |
---|
| 3768 | #elif defined(__mips_nan2008) /* __mips */ |
---|
| 3769 | static const unsigned short nan113[8] = { 0x7fff, 0x8000, 0, 0, 0, 0, 0, 0 }; |
---|
| 3770 | static const unsigned short nan64[6] = { 0x7fff, 0xc000, 0, 0, 0, 0 }; |
---|
| 3771 | static const unsigned short nan53[4] = { 0x7ff8, 0, 0, 0 }; |
---|
| 3772 | static const unsigned short nan24[2] = { 0x7fc0, 0 }; |
---|
| 3773 | #else /* __mips && !__mips_nan2008 */ |
---|
| 3774 | static const unsigned short nan113[8] = { |
---|
| 3775 | 0x7fff, 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff |
---|
| 3776 | }; |
---|
| 3777 | |
---|
| 3778 | static const unsigned short nan64[6] = { |
---|
| 3779 | 0x7fff, 0xbfff, 0xffff, 0xffff, 0xffff, 0xffff |
---|
| 3780 | }; |
---|
| 3781 | static const unsigned short nan53[4] = { 0x7ff7, 0xffff, 0xffff, 0xffff }; |
---|
| 3782 | static const unsigned short nan24[2] = { 0x7fbf, 0xffff }; |
---|
| 3783 | #endif /* __mips && !__mips_nan2008 */ |
---|
| 3784 | #else /* !MIEEE */ |
---|
| 3785 | #if !defined(__mips) || defined(__mips_nan2008) |
---|
| 3786 | static const unsigned short nan113[8] = { 0, 0, 0, 0, 0, 0, 0x8000, 0x7fff }; |
---|
| 3787 | static const unsigned short nan64[6] = { 0, 0, 0, 0, 0xc000, 0x7fff }; |
---|
| 3788 | static const unsigned short nan53[4] = { 0, 0, 0, 0x7ff8 }; |
---|
| 3789 | static const unsigned short nan24[2] = { 0, 0x7fc0 }; |
---|
| 3790 | #else /* __mips && !__mips_nan2008 */ |
---|
| 3791 | static const unsigned short nan113[8] = { |
---|
| 3792 | 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0x7fff, 0x7fff |
---|
| 3793 | }; |
---|
| 3794 | |
---|
| 3795 | static const unsigned short nan64[6] = { |
---|
| 3796 | 0xffff, 0xffff, 0xffff, 0xffff, 0xbfff, 0x7fff |
---|
| 3797 | }; |
---|
| 3798 | static const unsigned short nan53[4] = { 0xffff, 0xffff, 0xffff, 0x7ff7 }; |
---|
| 3799 | static const unsigned short nan24[2] = { 0xffff, 0x7fbf }; |
---|
| 3800 | #endif /* __mips && !__mips_nan2008 */ |
---|
| 3801 | #endif /* !MIEEE */ |
---|
| 3802 | |
---|
| 3803 | |
---|
| 3804 | static void |
---|
| 3805 | enan (short unsigned int *nan, int size) |
---|
| 3806 | { |
---|
| 3807 | int i, n; |
---|
| 3808 | const unsigned short *p; |
---|
| 3809 | |
---|
| 3810 | switch (size) |
---|
| 3811 | { |
---|
| 3812 | #ifndef DEC |
---|
| 3813 | case 113: |
---|
| 3814 | n = 8; |
---|
| 3815 | p = nan113; |
---|
| 3816 | break; |
---|
| 3817 | |
---|
| 3818 | case 64: |
---|
| 3819 | n = 6; |
---|
| 3820 | p = nan64; |
---|
| 3821 | break; |
---|
| 3822 | |
---|
| 3823 | case 53: |
---|
| 3824 | n = 4; |
---|
| 3825 | p = nan53; |
---|
| 3826 | break; |
---|
| 3827 | |
---|
| 3828 | case 24: |
---|
| 3829 | n = 2; |
---|
| 3830 | p = nan24; |
---|
| 3831 | break; |
---|
| 3832 | |
---|
| 3833 | case NBITS: |
---|
| 3834 | #if !defined(__mips) || defined(__mips_nan2008) |
---|
| 3835 | for (i = 0; i < NE - 2; i++) |
---|
| 3836 | *nan++ = 0; |
---|
| 3837 | *nan++ = 0xc000; |
---|
| 3838 | #else /* __mips && !__mips_nan2008 */ |
---|
| 3839 | for (i = 0; i < NE - 2; i++) |
---|
| 3840 | *nan++ = 0xffff; |
---|
| 3841 | *nan++ = 0xbfff; |
---|
| 3842 | #endif /* __mips && !__mips_nan2008 */ |
---|
| 3843 | *nan++ = 0x7fff; |
---|
| 3844 | return; |
---|
| 3845 | |
---|
| 3846 | case NI * 16: |
---|
| 3847 | *nan++ = 0; |
---|
| 3848 | *nan++ = 0x7fff; |
---|
| 3849 | *nan++ = 0; |
---|
| 3850 | #if !defined(__mips) || defined(__mips_nan2008) |
---|
| 3851 | *nan++ = 0xc000; |
---|
| 3852 | for (i = 4; i < NI - 1; i++) |
---|
| 3853 | *nan++ = 0; |
---|
| 3854 | #else /* __mips && !__mips_nan2008 */ |
---|
| 3855 | *nan++ = 0xbfff; |
---|
| 3856 | for (i = 4; i < NI - 1; i++) |
---|
| 3857 | *nan++ = 0xffff; |
---|
| 3858 | #endif /* __mips && !__mips_nan2008 */ |
---|
| 3859 | *nan++ = 0; |
---|
| 3860 | return; |
---|
| 3861 | #endif |
---|
| 3862 | default: |
---|
| 3863 | mtherr ("enan", DOMAIN); |
---|
| 3864 | return; |
---|
| 3865 | } |
---|
| 3866 | for (i = 0; i < n; i++) |
---|
| 3867 | *nan++ = *p++; |
---|
| 3868 | } |
---|