diff options
Diffstat (limited to 'gdtoa/misc.c')
-rw-r--r-- | gdtoa/misc.c | 865 |
1 files changed, 0 insertions, 865 deletions
diff --git a/gdtoa/misc.c b/gdtoa/misc.c deleted file mode 100644 index b3ce7c9b..00000000 --- a/gdtoa/misc.c +++ /dev/null @@ -1,865 +0,0 @@ -/**************************************************************** - -The author of this software is David M. Gay. - -Copyright (C) 1998, 1999 by Lucent Technologies -All Rights Reserved - -Permission to use, copy, modify, and distribute this software and -its documentation for any purpose and without fee is hereby -granted, provided that the above copyright notice appear in all -copies and that both that the copyright notice and this -permission notice and warranty disclaimer appear in supporting -documentation, and that the name of Lucent or any of its entities -not be used in advertising or publicity pertaining to -distribution of the software without specific, written prior -permission. - -LUCENT DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, -INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. -IN NO EVENT SHALL LUCENT OR ANY OF ITS ENTITIES BE LIABLE FOR ANY -SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES -WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER -IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, -ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF -THIS SOFTWARE. - -****************************************************************/ - -/* Please send bug reports to David M. Gay (dmg at acm dot org, - * with " at " changed at "@" and " dot " changed to "."). */ - -#include "gdtoaimp.h" - - static Bigint *freelist[Kmax+1]; -#ifndef Omit_Private_Memory -#ifndef PRIVATE_MEM -#define PRIVATE_MEM 2304 -#endif -#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double)) -static double private_mem[PRIVATE_mem], *pmem_next = private_mem; -#endif - - Bigint * -Balloc -#ifdef KR_headers - (k) int k; -#else - (int k) -#endif -{ - int x; - Bigint *rv; -#ifndef Omit_Private_Memory - unsigned int len; -#endif - - ACQUIRE_DTOA_LOCK(0); - if ( (rv = freelist[k]) !=0) { - freelist[k] = rv->next; - } - else { - x = 1 << k; -#ifdef Omit_Private_Memory - rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong)); -#else - len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1) - /sizeof(double); - if (pmem_next - private_mem + len <= PRIVATE_mem) { - rv = (Bigint*)pmem_next; - pmem_next += len; - } - else - rv = (Bigint*)MALLOC(len*sizeof(double)); -#endif - rv->k = k; - rv->maxwds = x; - } - FREE_DTOA_LOCK(0); - rv->sign = rv->wds = 0; - return rv; - } - - void -Bfree -#ifdef KR_headers - (v) Bigint *v; -#else - (Bigint *v) -#endif -{ - if (v) { - ACQUIRE_DTOA_LOCK(0); - v->next = freelist[v->k]; - freelist[v->k] = v; - FREE_DTOA_LOCK(0); - } - } - - int -lo0bits -#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) - return 32; - } - *y = x; - return k; - } - - Bigint * -multadd -#ifdef KR_headers - (b, m, a) Bigint *b; int m, a; -#else - (Bigint *b, int m, int a) /* multiply by m and add a */ -#endif -{ - int i, wds; -#ifdef ULLong - ULong *x; - ULLong carry, y; -#else - ULong carry, *x, y; -#ifdef Pack_32 - ULong xi, z; -#endif -#endif - Bigint *b1; - - wds = b->wds; - x = b->x; - i = 0; - carry = a; - do { -#ifdef ULLong - y = *x * (ULLong)m + carry; - carry = y >> 32; - *x++ = y & 0xffffffffUL; -#else -#ifdef Pack_32 - xi = *x; - y = (xi & 0xffff) * m + carry; - z = (xi >> 16) * m + (y >> 16); - carry = z >> 16; - *x++ = (z << 16) + (y & 0xffff); -#else - y = *x * m + carry; - carry = y >> 16; - *x++ = y & 0xffff; -#endif -#endif - } - while(++i < wds); - if (carry) { - if (wds >= b->maxwds) { - b1 = Balloc(b->k+1); - Bcopy(b1, b); - Bfree(b); - b = b1; - } - b->x[wds++] = carry; - b->wds = wds; - } - return b; - } - - int -hi0bits_D2A -#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; - } - - 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; - } - - 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++) !=0) { - x = xa; - xc = xc0; - carry = 0; - do { - z = *x++ * (ULLong)y + *xc + carry; - carry = z >> 32; - *xc++ = z & 0xffffffffUL; - } - while(x < xae); - *xc = carry; - } - } -#else -#ifdef Pack_32 - for(; xb < xbe; xb++, xc0++) { - if ( (y = *xb & 0xffff) !=0) { - 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) !=0) { - 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++) !=0) { - 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; - - 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) !=0) - b = multadd(b, p05[i-1], 0); - - if (!(k >>= 2)) - return b; - if ((p5 = p5s) == 0) { - /* 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) == 0) { -#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; - } - - 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; - - n = k >> kshift; - 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; - if (k &= kmask) { -#ifdef Pack_32 - k1 = 32 - k; - z = 0; - do { - *x1++ = *x << k | z; - z = *x++ >> k1; - } - while(x < xe); - if ((*x1 = z) !=0) - ++n1; -#else - 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; - } - - int -cmp -#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; - } - - 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 & 1UL; - *xc++ = y & 0xffffffffUL; - } - while(xb < xbe); - while(xa < xae) { - y = *xa++ - borrow; - borrow = y >> 32 & 1UL; - *xc++ = y & 0xffffffffUL; - } -#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; - } - - double -b2d -#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; -#endif - return dval(d); - } -#undef d0 -#undef d1 - - Bigint * -d2b -#ifdef KR_headers - (d, e, bits) double d; int *e, *bits; -#else - (double d, int *e, int *bits) -#endif -{ - Bigint *b; -#ifndef Sudden_Underflow - int i; -#endif - int de, k; - ULong *x, y, z; -#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)) !=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; -#ifndef Sudden_Underflow - i = -#endif - b->wds = (x[1] = z) !=0 ? 2 : 1; - } - else { -#ifdef DEBUG - if (!z) - Bug("Zero passed to d2b"); -#endif - k = lo0bits(&z); - x[0] = z; -#ifndef Sudden_Underflow - i = -#endif - b->wds = 1; - k += 32; - } -#else - if ( (y = d1) !=0) { - if ( (k = lo0bits(&y)) !=0) - 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 - - CONST double -#ifdef IEEE_Arith -bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 }; -CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 - }; -#else -#ifdef IBM -bigtens[] = { 1e16, 1e32, 1e64 }; -CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 }; -#else -bigtens[] = { 1e16, 1e32 }; -CONST double tinytens[] = { 1e-16, 1e-32 }; -#endif -#endif - - CONST double -tens[] = { - 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 - }; - - char * -#ifdef KR_headers -strcp_D2A(a, b) char *a; char *b; -#else -strcp_D2A(char *a, CONST char *b) -#endif -{ - while(*a = *b++) - a++; - return a; - } - -#ifdef NO_STRING_H - - Char * -#ifdef KR_headers -memcpy_D2A(a, b, len) Char *a; Char *b; size_t len; -#else -memcpy_D2A(void *a1, void *b1, size_t len) -#endif -{ - register char *a = (char*)a1, *ae = a + len; - register char *b = (char*)b1, *a0 = a; - while(a < ae) - *a++ = *b++; - return a0; - } - -#endif /* NO_STRING_H */ |