[388] | 1 | #include <stdint.h>
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| 2 | #include <stdio.h>
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| 3 | #include <math.h>
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| 4 | #include <float.h>
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| 5 | #include <limits.h>
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| 6 | #include <errno.h>
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| 7 | #include <ctype.h>
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| 8 |
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| 9 | #include "shgetc.h"
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| 10 | #include "floatscan.h"
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| 11 |
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| 12 | #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
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| 13 |
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| 14 | #define LD_B1B_DIG 2
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| 15 | #define LD_B1B_MAX 9007199, 254740991
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| 16 | #define KMAX 128
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| 17 |
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| 18 | #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
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| 19 |
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| 20 | #define LD_B1B_DIG 3
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| 21 | #define LD_B1B_MAX 18, 446744073, 709551615
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| 22 | #define KMAX 2048
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| 23 |
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| 24 | #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
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| 25 |
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| 26 | #define LD_B1B_DIG 4
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| 27 | #define LD_B1B_MAX 10384593, 717069655, 257060992, 658440191
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| 28 | #define KMAX 2048
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| 29 |
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| 30 | #else
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| 31 | #error Unsupported long double representation
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| 32 | #endif
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| 33 |
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| 34 | #define MASK (KMAX-1)
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| 35 |
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| 36 | #define CONCAT2(x,y) x ## y
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| 37 | #define CONCAT(x,y) CONCAT2(x,y)
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| 38 |
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| 39 | static long long scanexp(FILE *f, int pok)
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| 40 | {
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| 41 | int c;
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| 42 | int x;
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| 43 | long long y;
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| 44 | int neg = 0;
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| 45 |
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| 46 | c = shgetc(f);
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| 47 | if (c=='+' || c=='-') {
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| 48 | neg = (c=='-');
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| 49 | c = shgetc(f);
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| 50 | if (c-'0'>=10U && pok) shunget(f);
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| 51 | }
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| 52 | if (c-'0'>=10U) {
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| 53 | shunget(f);
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| 54 | return LLONG_MIN;
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| 55 | }
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| 56 | for (x=0; c-'0'<10U && x<INT_MAX/10; c = shgetc(f))
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| 57 | x = 10*x + c-'0';
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| 58 | for (y=x; c-'0'<10U && y<LLONG_MAX/100; c = shgetc(f))
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| 59 | y = 10*y + c-'0';
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| 60 | for (; c-'0'<10U; c = shgetc(f));
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| 61 | shunget(f);
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| 62 | return neg ? -y : y;
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| 63 | }
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| 64 |
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| 65 |
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| 66 | static long double decfloat(FILE *f, int c, int bits, int emin, int sign, int pok)
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| 67 | {
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| 68 | uint32_t x[KMAX];
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| 69 | static const uint32_t th[] = { LD_B1B_MAX };
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| 70 | int i, j, k, a, z;
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| 71 | long long lrp=0, dc=0;
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| 72 | long long e10=0;
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| 73 | int lnz = 0;
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| 74 | int gotdig = 0, gotrad = 0;
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| 75 | int rp;
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| 76 | int e2;
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| 77 | int emax = -emin-bits+3;
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| 78 | int denormal = 0;
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| 79 | long double y;
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| 80 | long double frac=0;
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| 81 | long double bias=0;
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| 82 | static const int p10s[] = { 10, 100, 1000, 10000,
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| 83 | 100000, 1000000, 10000000, 100000000 };
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| 84 |
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| 85 | j=0;
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| 86 | k=0;
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| 87 |
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| 88 | /* Don't let leading zeros consume buffer space */
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| 89 | for (; c=='0'; c = shgetc(f)) gotdig=1;
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| 90 | if (c=='.') {
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| 91 | gotrad = 1;
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| 92 | for (c = shgetc(f); c=='0'; c = shgetc(f)) gotdig=1, lrp--;
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| 93 | }
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| 94 |
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| 95 | x[0] = 0;
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| 96 | for (; c-'0'<10U || c=='.'; c = shgetc(f)) {
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| 97 | if (c == '.') {
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| 98 | if (gotrad) break;
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| 99 | gotrad = 1;
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| 100 | lrp = dc;
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| 101 | } else if (k < KMAX-3) {
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| 102 | dc++;
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| 103 | if (c!='0') lnz = dc;
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| 104 | if (j) x[k] = x[k]*10 + c-'0';
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| 105 | else x[k] = c-'0';
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| 106 | if (++j==9) {
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| 107 | k++;
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| 108 | j=0;
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| 109 | }
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| 110 | gotdig=1;
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| 111 | } else {
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| 112 | dc++;
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| 113 | if (c!='0') {
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| 114 | lnz = (KMAX-4)*9;
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| 115 | x[KMAX-4] |= 1;
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| 116 | }
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| 117 | }
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| 118 | }
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| 119 | if (!gotrad) lrp=dc;
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| 120 |
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| 121 | if (gotdig && (c|32)=='e') {
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| 122 | e10 = scanexp(f, pok);
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| 123 | if (e10 == LLONG_MIN) {
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| 124 | if (pok) {
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| 125 | shunget(f);
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| 126 | } else {
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| 127 | shlim(f, 0);
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| 128 | return 0;
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| 129 | }
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| 130 | e10 = 0;
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| 131 | }
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| 132 | lrp += e10;
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| 133 | } else if (c>=0) {
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| 134 | shunget(f);
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| 135 | }
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| 136 | if (!gotdig) {
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| 137 | errno = EINVAL;
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| 138 | shlim(f, 0);
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| 139 | return 0;
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| 140 | }
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| 141 |
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| 142 | /* Handle zero specially to avoid nasty special cases later */
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| 143 | if (!x[0]) return sign * 0.0;
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| 144 |
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| 145 | /* Optimize small integers (w/no exponent) and over/under-flow */
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| 146 | if (lrp==dc && dc<10 && (bits>30 || x[0]>>bits==0))
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| 147 | return sign * (long double)x[0];
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| 148 | if (lrp > -emin/2) {
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| 149 | errno = ERANGE;
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| 150 | return sign * LDBL_MAX * LDBL_MAX;
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| 151 | }
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| 152 | if (lrp < emin-2*LDBL_MANT_DIG) {
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| 153 | errno = ERANGE;
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| 154 | return sign * LDBL_MIN * LDBL_MIN;
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| 155 | }
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| 156 |
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| 157 | /* Align incomplete final B1B digit */
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| 158 | if (j) {
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| 159 | for (; j<9; j++) x[k]*=10;
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| 160 | k++;
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| 161 | j=0;
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| 162 | }
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| 163 |
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| 164 | a = 0;
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| 165 | z = k;
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| 166 | e2 = 0;
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| 167 | rp = lrp;
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| 168 |
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| 169 | /* Optimize small to mid-size integers (even in exp. notation) */
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| 170 | if (lnz<9 && lnz<=rp && rp < 18) {
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| 171 | if (rp == 9) return sign * (long double)x[0];
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| 172 | if (rp < 9) return sign * (long double)x[0] / p10s[8-rp];
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| 173 | int bitlim = bits-3*(int)(rp-9);
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| 174 | if (bitlim>30 || x[0]>>bitlim==0)
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| 175 | return sign * (long double)x[0] * p10s[rp-10];
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| 176 | }
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| 177 |
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| 178 | /* Drop trailing zeros */
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| 179 | for (; !x[z-1]; z--);
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| 180 |
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| 181 | /* Align radix point to B1B digit boundary */
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| 182 | if (rp % 9) {
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| 183 | int rpm9 = rp>=0 ? rp%9 : rp%9+9;
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| 184 | int p10 = p10s[8-rpm9];
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| 185 | uint32_t carry = 0;
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| 186 | for (k=a; k!=z; k++) {
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| 187 | uint32_t tmp = x[k] % p10;
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| 188 | x[k] = x[k]/p10 + carry;
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| 189 | carry = 1000000000/p10 * tmp;
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| 190 | if (k==a && !x[k]) {
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| 191 | a = (a+1 & MASK);
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| 192 | rp -= 9;
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| 193 | }
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| 194 | }
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| 195 | if (carry) x[z++] = carry;
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| 196 | rp += 9-rpm9;
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| 197 | }
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| 198 |
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| 199 | /* Upscale until desired number of bits are left of radix point */
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| 200 | while (rp < 9*LD_B1B_DIG || (rp == 9*LD_B1B_DIG && x[a]<th[0])) {
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| 201 | uint32_t carry = 0;
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| 202 | e2 -= 29;
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| 203 | for (k=(z-1 & MASK); ; k=(k-1 & MASK)) {
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| 204 | uint64_t tmp = ((uint64_t)x[k] << 29) + carry;
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| 205 | if (tmp > 1000000000) {
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| 206 | carry = tmp / 1000000000;
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| 207 | x[k] = tmp % 1000000000;
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| 208 | } else {
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| 209 | carry = 0;
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| 210 | x[k] = tmp;
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| 211 | }
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| 212 | if (k==(z-1 & MASK) && k!=a && !x[k]) z = k;
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| 213 | if (k==a) break;
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| 214 | }
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| 215 | if (carry) {
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| 216 | rp += 9;
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| 217 | a = (a-1 & MASK);
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| 218 | if (a == z) {
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| 219 | z = (z-1 & MASK);
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| 220 | x[z-1 & MASK] |= x[z];
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| 221 | }
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| 222 | x[a] = carry;
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| 223 | }
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| 224 | }
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| 225 |
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| 226 | /* Downscale until exactly number of bits are left of radix point */
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| 227 | for (;;) {
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| 228 | uint32_t carry = 0;
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| 229 | int sh = 1;
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| 230 | for (i=0; i<LD_B1B_DIG; i++) {
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| 231 | k = (a+i & MASK);
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| 232 | if (k == z || x[k] < th[i]) {
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| 233 | i=LD_B1B_DIG;
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| 234 | break;
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| 235 | }
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| 236 | if (x[a+i & MASK] > th[i]) break;
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| 237 | }
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| 238 | if (i==LD_B1B_DIG && rp==9*LD_B1B_DIG) break;
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| 239 | /* FIXME: find a way to compute optimal sh */
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| 240 | if (rp > 9+9*LD_B1B_DIG) sh = 9;
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| 241 | e2 += sh;
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| 242 | for (k=a; k!=z; k=(k+1 & MASK)) {
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| 243 | uint32_t tmp = x[k] & (1<<sh)-1;
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| 244 | x[k] = (x[k]>>sh) + carry;
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| 245 | carry = (1000000000>>sh) * tmp;
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| 246 | if (k==a && !x[k]) {
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| 247 | a = (a+1 & MASK);
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| 248 | i--;
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| 249 | rp -= 9;
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| 250 | }
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| 251 | }
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| 252 | if (carry) {
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| 253 | if ((z+1 & MASK) != a) {
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| 254 | x[z] = carry;
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| 255 | z = (z+1 & MASK);
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| 256 | } else x[z-1 & MASK] |= 1;
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| 257 | }
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| 258 | }
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| 259 |
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| 260 | /* Assemble desired bits into floating point variable */
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| 261 | for (y=i=0; i<LD_B1B_DIG; i++) {
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| 262 | if ((a+i & MASK)==z) x[(z=(z+1 & MASK))-1] = 0;
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| 263 | y = 1000000000.0L * y + x[a+i & MASK];
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| 264 | }
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| 265 |
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| 266 | y *= sign;
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| 267 |
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| 268 | /* Limit precision for denormal results */
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| 269 | if (bits > LDBL_MANT_DIG+e2-emin) {
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| 270 | bits = LDBL_MANT_DIG+e2-emin;
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| 271 | if (bits<0) bits=0;
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| 272 | denormal = 1;
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| 273 | }
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| 274 |
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| 275 | /* Calculate bias term to force rounding, move out lower bits */
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| 276 | if (bits < LDBL_MANT_DIG) {
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| 277 | bias = copysignl(scalbn(1, 2*LDBL_MANT_DIG-bits-1), y);
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| 278 | frac = fmodl(y, scalbn(1, LDBL_MANT_DIG-bits));
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| 279 | y -= frac;
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| 280 | y += bias;
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| 281 | }
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| 282 |
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| 283 | /* Process tail of decimal input so it can affect rounding */
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| 284 | if ((a+i & MASK) != z) {
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| 285 | uint32_t t = x[a+i & MASK];
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| 286 | if (t < 500000000 && (t || (a+i+1 & MASK) != z))
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| 287 | frac += 0.25*sign;
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| 288 | else if (t > 500000000)
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| 289 | frac += 0.75*sign;
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| 290 | else if (t == 500000000) {
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| 291 | if ((a+i+1 & MASK) == z)
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| 292 | frac += 0.5*sign;
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| 293 | else
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| 294 | frac += 0.75*sign;
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| 295 | }
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| 296 | if (LDBL_MANT_DIG-bits >= 2 && !fmodl(frac, 1))
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| 297 | frac++;
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| 298 | }
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| 299 |
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| 300 | y += frac;
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| 301 | y -= bias;
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| 302 |
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| 303 | if ((e2+LDBL_MANT_DIG & INT_MAX) > emax-5) {
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| 304 | if (fabs(y) >= CONCAT(0x1p, LDBL_MANT_DIG)) {
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| 305 | if (denormal && bits==LDBL_MANT_DIG+e2-emin)
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| 306 | denormal = 0;
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| 307 | y *= 0.5;
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| 308 | e2++;
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| 309 | }
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| 310 | if (e2+LDBL_MANT_DIG>emax || (denormal && frac))
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| 311 | errno = ERANGE;
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| 312 | }
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| 313 |
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| 314 | return scalbnl(y, e2);
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| 315 | }
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| 316 |
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| 317 | static long double hexfloat(FILE *f, int bits, int emin, int sign, int pok)
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| 318 | {
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| 319 | uint32_t x = 0;
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| 320 | long double y = 0;
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| 321 | long double scale = 1;
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| 322 | long double bias = 0;
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| 323 | int gottail = 0, gotrad = 0, gotdig = 0;
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| 324 | long long rp = 0;
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| 325 | long long dc = 0;
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| 326 | long long e2 = 0;
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| 327 | int d;
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| 328 | int c;
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| 329 |
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| 330 | c = shgetc(f);
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| 331 |
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| 332 | /* Skip leading zeros */
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| 333 | for (; c=='0'; c = shgetc(f)) gotdig = 1;
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| 334 |
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| 335 | if (c=='.') {
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| 336 | gotrad = 1;
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| 337 | c = shgetc(f);
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| 338 | /* Count zeros after the radix point before significand */
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| 339 | for (rp=0; c=='0'; c = shgetc(f), rp--) gotdig = 1;
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| 340 | }
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| 341 |
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| 342 | for (; c-'0'<10U || (c|32)-'a'<6U || c=='.'; c = shgetc(f)) {
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| 343 | if (c=='.') {
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| 344 | if (gotrad) break;
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| 345 | rp = dc;
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| 346 | gotrad = 1;
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| 347 | } else {
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| 348 | gotdig = 1;
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| 349 | if (c > '9') d = (c|32)+10-'a';
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| 350 | else d = c-'0';
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| 351 | if (dc<8) {
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| 352 | x = x*16 + d;
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| 353 | } else if (dc < LDBL_MANT_DIG/4+1) {
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| 354 | y += d*(scale/=16);
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| 355 | } else if (d && !gottail) {
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| 356 | y += 0.5*scale;
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| 357 | gottail = 1;
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| 358 | }
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| 359 | dc++;
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| 360 | }
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| 361 | }
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| 362 | if (!gotdig) {
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| 363 | shunget(f);
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| 364 | if (pok) {
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| 365 | shunget(f);
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| 366 | if (gotrad) shunget(f);
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| 367 | } else {
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| 368 | shlim(f, 0);
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| 369 | }
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| 370 | return sign * 0.0;
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| 371 | }
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| 372 | if (!gotrad) rp = dc;
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| 373 | while (dc<8) x *= 16, dc++;
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| 374 | if ((c|32)=='p') {
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| 375 | e2 = scanexp(f, pok);
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| 376 | if (e2 == LLONG_MIN) {
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| 377 | if (pok) {
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| 378 | shunget(f);
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| 379 | } else {
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| 380 | shlim(f, 0);
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| 381 | return 0;
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| 382 | }
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| 383 | e2 = 0;
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| 384 | }
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| 385 | } else {
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| 386 | shunget(f);
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| 387 | }
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| 388 | e2 += 4*rp - 32;
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| 389 |
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| 390 | if (!x) return sign * 0.0;
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| 391 | if (e2 > -emin) {
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| 392 | errno = ERANGE;
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| 393 | return sign * LDBL_MAX * LDBL_MAX;
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| 394 | }
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| 395 | if (e2 < emin-2*LDBL_MANT_DIG) {
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| 396 | errno = ERANGE;
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| 397 | return sign * LDBL_MIN * LDBL_MIN;
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| 398 | }
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| 399 |
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| 400 | while (x < 0x80000000) {
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| 401 | if (y>=0.5) {
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| 402 | x += x + 1;
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| 403 | y += y - 1;
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| 404 | } else {
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| 405 | x += x;
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| 406 | y += y;
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| 407 | }
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| 408 | e2--;
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| 409 | }
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| 410 |
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| 411 | if (bits > 32+e2-emin) {
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| 412 | bits = 32+e2-emin;
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| 413 | if (bits<0) bits=0;
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| 414 | }
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| 415 |
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| 416 | if (bits < LDBL_MANT_DIG)
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| 417 | bias = copysignl(scalbn(1, 32+LDBL_MANT_DIG-bits-1), sign);
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| 418 |
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| 419 | if (bits<32 && y && !(x&1)) x++, y=0;
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| 420 |
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| 421 | y = bias + sign*(long double)x + sign*y;
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| 422 | y -= bias;
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| 423 |
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| 424 | if (!y) errno = ERANGE;
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| 425 |
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| 426 | return scalbnl(y, e2);
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| 427 | }
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| 428 |
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| 429 | long double __floatscan(FILE *f, int prec, int pok)
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| 430 | {
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| 431 | int sign = 1;
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| 432 | size_t i;
|
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| 433 | int bits;
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| 434 | int emin;
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| 435 | int c;
|
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| 436 |
|
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| 437 | switch (prec) {
|
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| 438 | case 0:
|
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| 439 | bits = FLT_MANT_DIG;
|
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| 440 | emin = FLT_MIN_EXP-bits;
|
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| 441 | break;
|
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| 442 | case 1:
|
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| 443 | bits = DBL_MANT_DIG;
|
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| 444 | emin = DBL_MIN_EXP-bits;
|
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| 445 | break;
|
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| 446 | case 2:
|
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| 447 | bits = LDBL_MANT_DIG;
|
---|
| 448 | emin = LDBL_MIN_EXP-bits;
|
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| 449 | break;
|
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| 450 | default:
|
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| 451 | return 0;
|
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| 452 | }
|
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| 453 |
|
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| 454 | while (isspace((c=shgetc(f))));
|
---|
| 455 |
|
---|
| 456 | if (c=='+' || c=='-') {
|
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| 457 | sign -= 2*(c=='-');
|
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| 458 | c = shgetc(f);
|
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| 459 | }
|
---|
| 460 |
|
---|
| 461 | for (i=0; i<8 && (c|32)=="infinity"[i]; i++)
|
---|
| 462 | if (i<7) c = shgetc(f);
|
---|
| 463 | if (i==3 || i==8 || (i>3 && pok)) {
|
---|
| 464 | if (i!=8) {
|
---|
| 465 | shunget(f);
|
---|
| 466 | if (pok) for (; i>3; i--) shunget(f);
|
---|
| 467 | }
|
---|
| 468 | return sign * INFINITY;
|
---|
| 469 | }
|
---|
| 470 | if (!i) for (i=0; i<3 && (c|32)=="nan"[i]; i++)
|
---|
| 471 | if (i<2) c = shgetc(f);
|
---|
| 472 | if (i==3) {
|
---|
| 473 | if (shgetc(f) != '(') {
|
---|
| 474 | shunget(f);
|
---|
| 475 | return NAN;
|
---|
| 476 | }
|
---|
| 477 | for (i=1; ; i++) {
|
---|
| 478 | c = shgetc(f);
|
---|
| 479 | if (c-'0'<10U || c-'A'<26U || c-'a'<26U || c=='_')
|
---|
| 480 | continue;
|
---|
| 481 | if (c==')') return NAN;
|
---|
| 482 | shunget(f);
|
---|
| 483 | if (!pok) {
|
---|
| 484 | errno = EINVAL;
|
---|
| 485 | shlim(f, 0);
|
---|
| 486 | return 0;
|
---|
| 487 | }
|
---|
| 488 | while (i--) shunget(f);
|
---|
| 489 | return NAN;
|
---|
| 490 | }
|
---|
| 491 | return NAN;
|
---|
| 492 | }
|
---|
| 493 |
|
---|
| 494 | if (i) {
|
---|
| 495 | shunget(f);
|
---|
| 496 | errno = EINVAL;
|
---|
| 497 | shlim(f, 0);
|
---|
| 498 | return 0;
|
---|
| 499 | }
|
---|
| 500 |
|
---|
| 501 | if (c=='0') {
|
---|
| 502 | c = shgetc(f);
|
---|
| 503 | if ((c|32) == 'x')
|
---|
| 504 | return hexfloat(f, bits, emin, sign, pok);
|
---|
| 505 | shunget(f);
|
---|
| 506 | c = '0';
|
---|
| 507 | }
|
---|
| 508 |
|
---|
| 509 | return decfloat(f, c, bits, emin, sign, pok);
|
---|
| 510 | }
|
---|