cosmopolitan/third_party/gdtoa/misc.c
2024-08-04 12:52:25 -07:00

472 lines
11 KiB
C

/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
│ vi: set noet ft=c ts=8 sw=8 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ The author of this software is David M. Gay. │
│ Please send bug reports to David M. Gay <dmg@acm.org> │
│ or Justine Tunney <jtunney@gmail.com> │
│ │
│ 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. │
│ │
╚─────────────────────────────────────────────────────────────────────────────*/
#include "libc/calls/calls.h"
#include "libc/macros.h"
#include "libc/runtime/runtime.h"
#include "libc/thread/thread.h"
#include "libc/thread/tls.h"
#include "third_party/gdtoa/gdtoa.internal.h"
static ThInfo TI0;
static pthread_mutex_t __gdtoa_lock_obj;
static pthread_mutex_t __gdtoa_lock1_obj;
static void
__gdtoa_lock(void)
{
pthread_mutex_lock(&__gdtoa_lock_obj);
}
static void
__gdtoa_unlock(void)
{
pthread_mutex_unlock(&__gdtoa_lock_obj);
}
static void
__gdtoa_initlock(void)
{
pthread_mutex_init(&__gdtoa_lock_obj, 0);
}
static void
__gdtoa_lock1(void)
{
pthread_mutex_lock(&__gdtoa_lock1_obj);
}
static void
__gdtoa_unlock1(void)
{
pthread_mutex_unlock(&__gdtoa_lock1_obj);
}
static void
__gdtoa_initlock1(void)
{
pthread_mutex_init(&__gdtoa_lock1_obj, 0);
}
static void
__gdtoa_Brelease(Bigint *rv)
{
if (!rv) return;
__gdtoa_Brelease(rv->next);
free(rv);
}
static void
__gdtoa_Bclear(void)
{
int i;
__gdtoa_lock();
for (i = 0; i < ARRAYLEN(TI0.Freelist); ++i)
__gdtoa_Brelease(TI0.Freelist[i]);
__gdtoa_lock1();
__gdtoa_Brelease(TI0.P5s);
__gdtoa_unlock1();
bzero(&TI0, sizeof(TI0));
__gdtoa_unlock();
}
__attribute__((__constructor__(60))) static void
__gdtoa_Binit(void)
{
__gdtoa_initlock();
__gdtoa_initlock1();
atexit(__gdtoa_Bclear);
pthread_atfork(__gdtoa_lock1, __gdtoa_unlock1, __gdtoa_initlock1);
pthread_atfork(__gdtoa_lock, __gdtoa_unlock, __gdtoa_initlock);
}
static ThInfo *
__gdtoa_get_TI(void)
{
return &TI0;
}
Bigint *
__gdtoa_Balloc(int k, ThInfo **PTI)
{
int x;
Bigint *rv;
ThInfo *TI;
if (!(TI = *PTI))
*PTI = TI = __gdtoa_get_TI();
if (TI == &TI0)
__gdtoa_lock();
if (k <= Kmax && (rv = TI->Freelist[k]) != 0) {
TI->Freelist[k] = rv->next;
} else {
x = 1 << k;
rv = malloc(sizeof(Bigint) + (x-1)*sizeof(ULong));
rv->k = k;
rv->maxwds = x;
}
if (TI == &TI0)
__gdtoa_unlock();
rv->sign = rv->wds = 0;
return rv;
}
void
__gdtoa_Bfree(Bigint *v, ThInfo **PTI)
{
ThInfo *TI;
if (v) {
if (v->k > Kmax)
free((void *)v);
else {
if (!(TI = *PTI))
*PTI = TI = __gdtoa_get_TI();
if (TI == &TI0)
__gdtoa_lock();
v->next = TI->Freelist[v->k];
TI->Freelist[v->k] = v;
if (TI == &TI0)
__gdtoa_unlock();
}
}
}
Bigint *
__gdtoa_multadd(Bigint *b, int m, int a, ThInfo **PTI)
{
int i, wds;
ULong *x;
uint64_t carry, y;
Bigint *b1;
wds = b->wds;
x = b->x;
i = 0;
carry = a;
do {
y = *x * (uint64_t)m + carry;
carry = y >> 32;
*x++ = y & 0xffffffffUL;
} while (++i < wds);
if (carry) {
if (wds >= b->maxwds) {
b1 = __gdtoa_Balloc(b->k + 1, PTI);
memcpy(&b1->sign, &b->sign, b->wds * sizeof(ULong) + 2 * sizeof(int));
__gdtoa_Bfree(b, PTI);
b = b1;
}
b->x[wds++] = carry;
b->wds = wds;
}
return b;
}
Bigint *
__gdtoa_i2b(int i, ThInfo **PTI)
{
Bigint *b;
b = __gdtoa_Balloc(1, PTI);
b->x[0] = i;
b->wds = 1;
return b;
}
Bigint *
__gdtoa_mult(Bigint *a, Bigint *b, ThInfo **PTI)
{
Bigint *c;
int k, wa, wb, wc;
ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
ULong y;
uint64_t carry, z;
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 = __gdtoa_Balloc(k, PTI);
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;
for (; xb < xbe; xc0++) {
if ((y = *xb++) != 0) {
x = xa;
xc = xc0;
carry = 0;
do {
z = *x++ * (uint64_t)y + *xc + carry;
carry = z >> 32;
*xc++ = z & 0xffffffffUL;
} while (x < xae);
*xc = carry;
}
}
for (xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc)
;
c->wds = wc;
return c;
}
Bigint *
__gdtoa_pow5mult(Bigint *b, int k, ThInfo **PTI)
{
Bigint *b1, *p5, *p51;
ThInfo *TI;
int i;
static int p05[3] = {5, 25, 125};
if ((i = k & 3) != 0)
b = __gdtoa_multadd(b, p05[i - 1], 0, PTI);
if (!(k >>= 2))
return b;
if (!(TI = *PTI))
*PTI = TI = __gdtoa_get_TI();
if ((p5 = TI->P5s) == 0) {
if (!(TI = *PTI))
*PTI = TI = __gdtoa_get_TI();
if (TI == &TI0)
__gdtoa_lock1();
if (!(p5 = TI->P5s)) {
p5 = TI->P5s = __gdtoa_i2b(625, PTI);
p5->next = 0;
}
if (TI == &TI0)
__gdtoa_unlock1();
}
for (;;) {
if (k & 1) {
b1 = __gdtoa_mult(b, p5, PTI);
__gdtoa_Bfree(b, PTI);
b = b1;
}
if (!(k >>= 1))
break;
if ((p51 = p5->next) == 0) {
if (!TI && !(TI = *PTI))
*PTI = TI = __gdtoa_get_TI();
if (TI == &TI0)
__gdtoa_lock1();
if (!(p51 = p5->next)) {
p51 = p5->next = __gdtoa_mult(p5, p5, PTI);
p51->next = 0;
}
if (TI == &TI0)
__gdtoa_unlock1();
}
p5 = p51;
}
return b;
}
Bigint *
__gdtoa_lshift(Bigint *b, int k, ThInfo **PTI)
{
int i, k1, n, n1;
Bigint *b1;
ULong *x, *x1, *xe, z;
n = k >> 5;
k1 = b->k;
n1 = n + b->wds + 1;
for (i = b->maxwds; n1 > i; i <<= 1)
k1++;
b1 = __gdtoa_Balloc(k1, PTI);
x1 = b1->x;
for (i = 0; i < n; i++)
*x1++ = 0;
x = b->x;
xe = x + b->wds;
if (k &= 31) {
k1 = 32 - k;
z = 0;
do {
*x1++ = *x << k | z;
z = *x++ >> k1;
} while (x < xe);
if ((*x1 = z) != 0)
++n1;
} else
do
*x1++ = *x++;
while (x < xe);
b1->wds = n1 - 1;
__gdtoa_Bfree(b, PTI);
return b1;
}
int
__gdtoa_cmp(Bigint *a, Bigint *b)
{
ULong *xa, *xa0, *xb, *xb0;
int i, j;
i = a->wds;
j = b->wds;
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 *
__gdtoa_diff(Bigint *a, Bigint *b, ThInfo **PTI)
{
Bigint *c;
int i, wa, wb;
ULong *xa, *xae, *xb, *xbe, *xc;
uint64_t borrow, y;
i = __gdtoa_cmp(a, b);
if (!i) {
c = __gdtoa_Balloc(0, PTI);
c->wds = 1;
c->x[0] = 0;
return c;
}
if (i < 0) {
c = a;
a = b;
b = c;
i = 1;
} else
i = 0;
c = __gdtoa_Balloc(a->k, PTI);
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;
do {
y = (uint64_t)*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;
}
while (!*--xc)
wa--;
c->wds = wa;
return c;
}
double
__gdtoa_b2d(Bigint *a, int *e)
{
ULong *xa, *xa0, w, y, z;
int k;
U d;
xa0 = a->x;
xa = xa0 + a->wds;
y = *--xa;
k = hi0bits((ULong)(y));
*e = 32 - k;
if (k < 11) {
(&d)->L[1] = 0x3ff00000 | y >> (11 - k);
w = xa > xa0 ? *--xa : 0;
(&d)->L[0] = y << ((32 - 11) + k) | w >> (11 - k);
goto ret_d;
}
z = xa > xa0 ? *--xa : 0;
if (k -= 11) {
(&d)->L[1] = 0x3ff00000 | y << k | z >> (32 - k);
y = xa > xa0 ? *--xa : 0;
(&d)->L[0] = z << k | y >> (32 - k);
} else {
(&d)->L[1] = 0x3ff00000 | y;
(&d)->L[0] = z;
}
ret_d:
return (&d)->d;
}
Bigint *
__gdtoa_d2b(double dd, int *e, int *bits, ThInfo **PTI)
{
Bigint *b;
U d;
int i;
int de, k;
ULong *x, y, z;
d.d = dd;
b = __gdtoa_Balloc(1, PTI);
x = b->x;
z = (&d)->L[1] & 0xfffff;
(&d)->L[1] &= 0x7fffffff;
if ((de = (int)((&d)->L[1] >> 20)) != 0)
z |= 0x100000;
if ((y = (&d)->L[0]) != 0) {
if ((k = lo0bits(&y)) != 0) {
x[0] = y | z << (32 - k);
z >>= k;
} else
x[0] = y;
i = b->wds = (x[1] = z) != 0 ? 2 : 1;
} else {
k = lo0bits(&z);
x[0] = z;
i = b->wds = 1;
k += 32;
}
if (de) {
*e = de - 1023 - (53 - 1) + k;
*bits = 53 - k;
} else {
*e = de - 1023 - (53 - 1) + 1 + k;
*bits = 32 * i - hi0bits((ULong)(x[i - 1]));
}
return b;
}
const double __gdtoa_bigtens[] = {1e16, 1e32, 1e64, 1e128, 1e256};
const double __gdtoa_tinytens[] = {1e-16, 1e-32, 1e-64, 1e-128, 1e-256};
const double __gdtoa_tens[] = {1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7,
1e8, 1e9, 1e10, 1e11, 1e12, 1e13, 1e14, 1e15,
1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22};