📄 strtod.c
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xc = xc0; carry = 0; z2 = *xc; do { z = (*x & 0xffff) * y + (*xc >> 16) + carry; carry = z >> 16; Storeinc(xc, z, z2); z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry; carry = z2 >> 16; } while(x < xae); *xc = z2; } }#else for(; xb < xbe; xc0++) { if (y = *xb++) { x = xa; xc = xc0; carry = 0; do { z = *x++ * y + *xc + carry; carry = z >> 16; *xc++ = z & 0xffff; } while(x < xae); *xc = carry; } }#endif for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ; c->wds = wc; return c; } static Bigint *p5s; static Bigint *pow5mult#ifdef KR_headers (b, k) Bigint *b; int k;#else (Bigint *b, int k)#endif{ Bigint *b1, *p5, *p51; int i; static const int p05[3] = { 5, 25, 125 }; if ((i = k & 3) != 0) b = multadd(b, p05[i-1], 0); if (!(k = (unsigned int) k >> 2)) return b; if (!(p5 = p5s)) { /* first time */ p5 = p5s = i2b(625); p5->next = 0; } for(;;) { if (k & 1) { b1 = mult(b, p5); Bfree(b); b = b1; } if (!(k = (unsigned int) k >> 1)) break; if (!(p51 = p5->next)) { p51 = p5->next = mult(p5,p5); p51->next = 0; } p5 = p51; } return b; } static Bigint *lshift#ifdef KR_headers (b, k) Bigint *b; int k;#else (Bigint *b, int k)#endif{ int i, k1, n, n1; Bigint *b1; ULong *x, *x1, *xe, z;#ifdef Pack_32 n = (unsigned int)k >> 5;#else n = (unsigned int)k >> 4;#endif k1 = b->k; n1 = n + b->wds + 1; for(i = b->maxwds; n1 > i; i <<= 1) k1++; b1 = Balloc(k1); x1 = b1->x; for(i = 0; i < n; i++) *x1++ = 0; x = b->x; xe = x + b->wds;#ifdef Pack_32 if (k &= 0x1f) { k1 = 32 - k; z = 0; do { *x1++ = *x << k | z; z = *x++ >> k1; } while(x < xe); if ((*x1 = z) != 0) ++n1; }#else if (k &= 0xf) { k1 = 16 - k; z = 0; do { *x1++ = *x << k & 0xffff | z; z = *x++ >> k1; } while(x < xe); if (*x1 = z) ++n1; }#endif else do *x1++ = *x++; while(x < xe); b1->wds = n1 - 1; Bfree(b); return b1; } static intcmp#ifdef KR_headers (a, b) Bigint *a, *b;#else (Bigint *a, Bigint *b)#endif{ ULong *xa, *xa0, *xb, *xb0; int i, j; i = a->wds; j = b->wds;#ifdef DEBUG if (i > 1 && !a->x[i-1]) Bug("cmp called with a->x[a->wds-1] == 0"); if (j > 1 && !b->x[j-1]) Bug("cmp called with b->x[b->wds-1] == 0");#endif if (i -= j) return i; xa0 = a->x; xa = xa0 + j; xb0 = b->x; xb = xb0 + j; for(;;) { if (*--xa != *--xb) return *xa < *xb ? -1 : 1; if (xa <= xa0) break; } return 0; } static Bigint *diff#ifdef KR_headers (a, b) Bigint *a, *b;#else (Bigint *a, Bigint *b)#endif{ Bigint *c; int i, wa, wb; Long borrow, y; /* We need signed shifts here. */ ULong *xa, *xae, *xb, *xbe, *xc;#ifdef Pack_32 Long z;#endif i = cmp(a,b); if (!i) { c = Balloc(0); c->wds = 1; c->x[0] = 0; return c; } if (i < 0) { c = a; a = b; b = c; i = 1; } else i = 0; c = Balloc(a->k); c->sign = i; wa = a->wds; xa = a->x; xae = xa + wa; wb = b->wds; xb = b->x; xbe = xb + wb; xc = c->x; borrow = 0;#ifdef Pack_32 do { y = (*xa & 0xffff) - (*xb & 0xffff) + borrow; borrow = (ULong)y >> 16; Sign_Extend(borrow, y); z = (*xa++ >> 16) - (*xb++ >> 16) + borrow; borrow = (ULong)z >> 16; Sign_Extend(borrow, z); Storeinc(xc, z, y); } while(xb < xbe); while(xa < xae) { y = (*xa & 0xffff) + borrow; borrow = (ULong)y >> 16; Sign_Extend(borrow, y); z = (*xa++ >> 16) + borrow; borrow = (ULong)z >> 16; Sign_Extend(borrow, z); Storeinc(xc, z, y); }#else do { y = *xa++ - *xb++ + borrow; borrow = y >> 16; Sign_Extend(borrow, y); *xc++ = y & 0xffff; } while(xb < xbe); while(xa < xae) { y = *xa++ + borrow; borrow = y >> 16; Sign_Extend(borrow, y); *xc++ = y & 0xffff; }#endif while(!*--xc) wa--; c->wds = wa; return c; } static doubleulp#ifdef KR_headers (_x) double _x;#else (double _x)#endif{ _double x; Long L; _double a; value(x) = _x; L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;#ifndef Sudden_Underflow if (L > 0) {#endif#ifdef IBM L |= Exp_msk1 >> 4;#endif word0(a) = L; word1(a) = 0;#ifndef Sudden_Underflow } else { L = (ULong)-L >> Exp_shift; if (L < Exp_shift) { word0(a) = 0x80000 >> L; word1(a) = 0; } else { word0(a) = 0; L -= Exp_shift; word1(a) = L >= 31 ? 1 : 1 << (31 - L); } }#endif return value(a); } static doubleb2d#ifdef KR_headers (a, e) Bigint *a; int *e;#else (Bigint *a, int *e)#endif{ ULong *xa, *xa0, w, y, z; int k; _double d;#ifdef VAX ULong d0, d1;#else#define d0 word0(d)#define d1 word1(d)#endif xa0 = a->x; xa = xa0 + a->wds; y = *--xa;#ifdef DEBUG if (!y) Bug("zero y in b2d");#endif k = hi0bits(y); *e = 32 - k;#ifdef Pack_32 if (k < Ebits) { d0 = Exp_1 | y >> (Ebits - k); w = xa > xa0 ? *--xa : 0; d1 = y << ((32-Ebits) + k) | w >> (Ebits - k); goto ret_d; } z = xa > xa0 ? *--xa : 0; if (k -= Ebits) { d0 = Exp_1 | y << k | z >> (32 - k); y = xa > xa0 ? *--xa : 0; d1 = z << k | y >> (32 - k); } else { d0 = Exp_1 | y; d1 = z; }#else if (k < Ebits + 16) { z = xa > xa0 ? *--xa : 0; d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k; w = xa > xa0 ? *--xa : 0; y = xa > xa0 ? *--xa : 0; d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k; goto ret_d; } z = xa > xa0 ? *--xa : 0; w = xa > xa0 ? *--xa : 0; k -= Ebits + 16; d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k; y = xa > xa0 ? *--xa : 0; d1 = w << k + 16 | y << k;#endif ret_d:#ifdef VAX word0(d) = d0 >> 16 | d0 << 16; word1(d) = d1 >> 16 | d1 << 16;#else#undef d0#undef d1#endif return value(d); } static Bigint *d2b#ifdef KR_headers (_d, e, bits) double d; int *e, *bits;#else (double _d, int *e, int *bits)#endif{ Bigint *b; int de, i, k; ULong *x, y, z; _double d;#ifdef VAX ULong d0, d1;#endif value(d) = _d;#ifdef VAX d0 = word0(d) >> 16 | word0(d) << 16; d1 = word1(d) >> 16 | word1(d) << 16;#else#define d0 word0(d)#define d1 word1(d)#endif#ifdef Pack_32 b = Balloc(1);#else b = Balloc(2);#endif x = b->x; z = d0 & Frac_mask; d0 &= 0x7fffffff; /* clear sign bit, which we ignore */#ifdef Sudden_Underflow de = (int)(d0 >> Exp_shift);#ifndef IBM z |= Exp_msk11;#endif#else if ((de = (int)(d0 >> Exp_shift)) != 0) z |= Exp_msk1;#endif#ifdef Pack_32 if ((y = d1) != 0) { if ((k = lo0bits(&y)) != 0) { x[0] = y | z << (32 - k); z >>= k; } else x[0] = y; i = b->wds = (x[1] = z) ? 2 : 1; } else {#ifdef DEBUG if (!z) Bug("Zero passed to d2b");#endif k = lo0bits(&z); x[0] = z; i = b->wds = 1; k += 32; }#else if (y = d1) { if (k = lo0bits(&y)) if (k >= 16) { x[0] = y | z << 32 - k & 0xffff; x[1] = z >> k - 16 & 0xffff; x[2] = z >> k; i = 2; } else { x[0] = y & 0xffff; x[1] = y >> 16 | z << 16 - k & 0xffff; x[2] = z >> k & 0xffff; x[3] = z >> k+16; i = 3; } else { x[0] = y & 0xffff; x[1] = y >> 16; x[2] = z & 0xffff; x[3] = z >> 16; i = 3; } } else {#ifdef DEBUG if (!z) Bug("Zero passed to d2b");#endif k = lo0bits(&z); if (k >= 16) { x[0] = z; i = 0; } else { x[0] = z & 0xffff; x[1] = z >> 16; i = 1; } k += 32; } while(!x[i]) --i; b->wds = i + 1;#endif#ifndef Sudden_Underflow if (de) {#endif#ifdef IBM *e = (de - Bias - (P-1) << 2) + k; *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask);#else *e = de - Bias - (P-1) + k; *bits = P - k;#endif#ifndef Sudden_Underflow } else { *e = de - Bias - (P-1) + 1 + k;#ifdef Pack_32 *bits = 32*i - hi0bits(x[i-1]);#else *bits = (i+2)*16 - hi0bits(x[i]);#endif }#endif return b; }#undef d0#undef d1 static doubleratio#ifdef KR_headers (a, b) Bigint *a, *b;#else (Bigint *a, Bigint *b)#endif{ _double da, db; int k, ka, kb; value(da) = b2d(a, &ka); value(db) = b2d(b, &kb);#ifdef Pack_32 k = ka - kb + 32*(a->wds - b->wds);#else k = ka - kb + 16*(a->wds - b->wds);#endif#ifdef IBM if (k > 0) { word0(da) += (k >> 2)*Exp_msk1; if (k &= 3) da *= 1 << k; } else { k = -k; word0(db) += (k >> 2)*Exp_msk1; if (k &= 3) db *= 1 << k; }#else if (k > 0) word0(da) += k*Exp_msk1; else { k = -k; word0(db) += k*Exp_msk1; }#endif return value(da) / value(db); }static CONST doubletens[] = { 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22#ifdef VAX , 1e23, 1e24#endif };#ifdef IEEE_Arithstatic CONST double bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 };#define n_bigtens 5#else#ifdef IBMstatic CONST double bigtens[] = { 1e16, 1e32, 1e64 };static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };#define n_bigtens 3#elsestatic CONST double bigtens[] = { 1e16, 1e32 };static CONST double tinytens[] = { 1e-16, 1e-32 };#define n_bigtens 2#endif#endif doublestrtod#ifdef KR_headers (s00, se) CONST char *s00; char **se;#else (CONST char *s00, char **se)#endif{ int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign, e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign; CONST char *s, *s0, *s1; double aadj, aadj1, adj; _double rv, rv0; Long L; ULong y, z; Bigint *bb1, *bd0; Bigint *bb = NULL, *bd = NULL, *bs = NULL, *delta = NULL;/* pacify gcc */ CONST char decimal_point = '.'; sign = nz0 = nz = 0; value(rv) = 0.; for(s = s00; isspace((unsigned char) *s); s++) ; if (*s == '-') { sign = 1; s++; } else if (*s == '+') { s++; } if (*s == '\0') { s = s00; goto ret; } /* "INF" or "INFINITY" */ if (tolower(*s) == 'i' && strncasecmp(s, "inf", 3) == 0) { if (strncasecmp(s + 3, "inity", 5) == 0) s += 8; else s += 3; value(rv) = HUGE_VAL; goto ret; } /* "NAN" or "NAN(n-char-sequence-opt)" */ if (tolower(*s) == 'n' && strncasecmp(s, "nan", 3) == 0) {#ifdef IEEE_Arith /* Build a quiet NaN. */ word0(rv) = Exp_mask | ((1 << Exp_shift) - 1); word1(rv) = 0;#else#ifdef VAX /* Lacking a quiet NaN, build a reserved operand. */ word0(rv) = Sign_bit; word1(rv) = 0;#endif#endif s+= 3; /* Don't interpret (n-char-sequence-opt), for now. */ if (*s == '(') { s0 = s; for (s++; *s != ')' && *s != '\0'; s++) ; if (*s == ')') s++; /* Skip over closing paren ... */
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