📄 dtoa.cpp
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#ifdef Pack_32 b = Balloc(k); b->x[0] = y9; b->wds = 1;#else b = Balloc(k+1); b->x[0] = y9 & 0xffff; b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;#endif i = 9; if (9 < nd0) { s += 9; do b = multadd(b, 10, *s++ - '0'); while(++i < nd0); s++; } else s += 10; for(; i < nd; i++) b = multadd(b, 10, *s++ - '0'); return b; } static inthi0bits#ifdef KR_headers (x) register ULong x;#else (register ULong x)#endif{ register int k = 0; if (!(x & 0xffff0000)) { k = 16; x <<= 16; } if (!(x & 0xff000000)) { k += 8; x <<= 8; } if (!(x & 0xf0000000)) { k += 4; x <<= 4; } if (!(x & 0xc0000000)) { k += 2; x <<= 2; } if (!(x & 0x80000000)) { k++; if (!(x & 0x40000000)) return 32; } return k; } static intlo0bits#ifdef KR_headers (y) ULong *y;#else (ULong *y)#endif{ register int k; register ULong x = *y; if (x & 7) { if (x & 1) return 0; if (x & 2) { *y = x >> 1; return 1; } *y = x >> 2; return 2; } k = 0; if (!(x & 0xffff)) { k = 16; x >>= 16; } if (!(x & 0xff)) { k += 8; x >>= 8; } if (!(x & 0xf)) { k += 4; x >>= 4; } if (!(x & 0x3)) { k += 2; x >>= 2; } if (!(x & 1)) { k++; x >>= 1; if (!x & 1) return 32; } *y = x; return k; } static Bigint *i2b#ifdef KR_headers (i) int i;#else (int i)#endif{ Bigint *b; b = Balloc(1); b->x[0] = i; b->wds = 1; return b; } static Bigint *mult#ifdef KR_headers (a, b) Bigint *a, *b;#else (Bigint *a, Bigint *b)#endif{ Bigint *c; int k, wa, wb, wc; ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0; ULong y;#ifdef ULLong ULLong carry, z;#else ULong carry, z;#ifdef Pack_32 ULong z2;#endif#endif if (a->wds < b->wds) { c = a; a = b; b = c; } k = a->k; wa = a->wds; wb = b->wds; wc = wa + wb; if (wc > a->maxwds) k++; c = Balloc(k); for(x = c->x, xa = x + wc; x < xa; x++) *x = 0; xa = a->x; xae = xa + wa; xb = b->x; xbe = xb + wb; xc0 = c->x;#ifdef ULLong for(; xb < xbe; xc0++) { if ((y = *xb++)) { x = xa; xc = xc0; carry = 0; do { z = *x++ * (ULLong)y + *xc + carry; carry = z >> 32; *xc++ = z & FFFFFFFF; } while(x < xae); *xc = carry; } }#else#ifdef Pack_32 for(; xb < xbe; xb++, xc0++) { if (y = *xb & 0xffff) { x = xa; xc = xc0; carry = 0; do { z = (*x & 0xffff) * y + (*xc & 0xffff) + carry; carry = z >> 16; z2 = (*x++ >> 16) * y + (*xc >> 16) + carry; carry = z2 >> 16; Storeinc(xc, z2, z); } while(x < xae); *xc = carry; } if (y = *xb >> 16) { x = xa; 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#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 int p05[3] = { 5, 25, 125 }; if ((i = k & 3)) b = multadd(b, p05[i-1], 0); if (!(k >>= 2)) return b; if (!(p5 = p5s)) { /* first time */#ifdef MULTIPLE_THREADS ACQUIRE_DTOA_LOCK(1); if (!(p5 = p5s)) { p5 = p5s = i2b(625); p5->next = 0; } FREE_DTOA_LOCK(1);#else p5 = p5s = i2b(625); p5->next = 0;#endif } for(;;) { if (k & 1) { b1 = mult(b, p5); Bfree(b); b = b1; } if (!(k >>= 1)) break; if (!(p51 = p5->next)) {#ifdef MULTIPLE_THREADS ACQUIRE_DTOA_LOCK(1); if (!(p51 = p5->next)) { p51 = p5->next = mult(p5,p5); p51->next = 0; } FREE_DTOA_LOCK(1);#else p51 = p5->next = mult(p5,p5); p51->next = 0;#endif } 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 = k >> 5;#else n = 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)) ++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; ULong *xa, *xae, *xb, *xbe, *xc;#ifdef ULLong ULLong borrow, y;#else ULong borrow, y;#ifdef Pack_32 ULong z;#endif#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 ULLong do { y = (ULLong)*xa++ - *xb++ - borrow; borrow = y >> 32 & (ULong)1; *xc++ = y & FFFFFFFF; } while(xb < xbe); while(xa < xae) { y = *xa++ - borrow; borrow = y >> 32 & (ULong)1; *xc++ = y & FFFFFFFF; }#else#ifdef Pack_32 do { y = (*xa & 0xffff) - (*xb & 0xffff) - borrow; borrow = (y & 0x10000) >> 16; z = (*xa++ >> 16) - (*xb++ >> 16) - borrow; borrow = (z & 0x10000) >> 16; Storeinc(xc, z, y); } while(xb < xbe); while(xa < xae) { y = (*xa & 0xffff) - borrow; borrow = (y & 0x10000) >> 16; z = (*xa++ >> 16) - borrow; borrow = (z & 0x10000) >> 16; Storeinc(xc, z, y); }#else do { y = *xa++ - *xb++ - borrow; borrow = (y & 0x10000) >> 16; *xc++ = y & 0xffff; } while(xb < xbe); while(xa < xae) { y = *xa++ - borrow; borrow = (y & 0x10000) >> 16; *xc++ = y & 0xffff; }#endif#endif while(!*--xc) wa--; c->wds = wa; return c; } static doubleulp#ifdef KR_headers (x) double x;#else (double x)#endif{ register Long L; double a; L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;#ifndef Avoid_Underflow#ifndef Sudden_Underflow if (L > 0) {#endif#endif#ifdef IBM L |= Exp_msk1 >> 4;#endif word0(a) = L; word1(a) = 0;#ifndef Avoid_Underflow#ifndef Sudden_Underflow } else { L = -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#endif return dval(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 dval(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, k; ULong *x, y, z;#ifndef Sudden_Underflow int i;#endif#ifdef VAX ULong d0, d1; 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))) z |= Exp_msk1;#endif
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