1040 lines
26 KiB
C
1040 lines
26 KiB
C
// Code ported from musl libc 8f12c4e110acb3bbbdc8abfb3a552c3ced718039
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// and then modified to use softfloat and to assume f128 for everything
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#include "parse_f128.h"
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#include "softfloat.h"
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#include <stddef.h>
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#include <sys/types.h>
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#include <errno.h>
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#include <limits.h>
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#include <string.h>
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#include <math.h>
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#define shcnt(f) ((f)->shcnt + ((f)->rpos - (f)->buf))
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#define shlim(f, lim) __shlim((f), (lim))
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#define shgetc(f) (((f)->rpos != (f)->shend) ? *(f)->rpos++ : __shgetc(f))
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#define shunget(f) ((f)->shlim>=0 ? (void)(f)->rpos-- : (void)0)
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#define sh_fromstring(f, s) \
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((f)->buf = (f)->rpos = (void *)(s), (f)->rend = (void*)-1)
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#define LD_B1B_DIG 4
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#define LD_B1B_MAX 10384593, 717069655, 257060992, 658440191
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#define KMAX 2048
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#define MASK (KMAX-1)
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#define CONCAT2(x,y) x ## y
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#define CONCAT(x,y) CONCAT2(x,y)
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#define F_PERM 1
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#define F_NORD 4
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#define F_NOWR 8
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#define F_EOF 16
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#define F_ERR 32
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#define F_SVB 64
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#define F_APP 128
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#define EOF (-1)
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#define LDBL_MANT_DIG 113
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#define LDBL_MIN_EXP (-16381)
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#define LDBL_MAX_EXP 16384
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#define LDBL_DIG 33
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#define LDBL_MIN_10_EXP (-4931)
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#define LDBL_MAX_10_EXP 4932
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#define DECIMAL_DIG 36
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#if __BYTE_ORDER == __LITTLE_ENDIAN
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union ldshape {
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float128_t f;
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struct {
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uint64_t lo;
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uint32_t mid;
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uint16_t top;
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uint16_t se;
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} i;
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struct {
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uint64_t lo;
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uint64_t hi;
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} i2;
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};
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#elif __BYTE_ORDER == __BIG_ENDIAN
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union ldshape {
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float128_t f;
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struct {
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uint16_t se;
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uint16_t top;
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uint32_t mid;
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uint64_t lo;
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} i;
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struct {
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uint64_t hi;
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uint64_t lo;
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} i2;
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};
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#error Unsupported endian
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#endif
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struct MuslFILE {
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unsigned flags;
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unsigned char *rpos, *rend;
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int (*close)(struct MuslFILE *);
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unsigned char *wend, *wpos;
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unsigned char *mustbezero_1;
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unsigned char *wbase;
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size_t (*read)(struct MuslFILE *, unsigned char *, size_t);
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size_t (*write)(struct MuslFILE *, const unsigned char *, size_t);
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off_t (*seek)(struct MuslFILE *, off_t, int);
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unsigned char *buf;
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size_t buf_size;
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struct MuslFILE *prev, *next;
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int fd;
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int pipe_pid;
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long lockcount;
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int mode;
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volatile int lock;
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int lbf;
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void *cookie;
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off_t off;
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char *getln_buf;
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void *mustbezero_2;
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unsigned char *shend;
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off_t shlim, shcnt;
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struct MuslFILE *prev_locked, *next_locked;
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struct __locale_struct *locale;
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};
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static void __shlim(struct MuslFILE *f, off_t lim)
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{
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f->shlim = lim;
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f->shcnt = f->buf - f->rpos;
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/* If lim is nonzero, rend must be a valid pointer. */
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if (lim && f->rend - f->rpos > lim)
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f->shend = f->rpos + lim;
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else
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f->shend = f->rend;
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}
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static int __toread(struct MuslFILE *f)
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{
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f->mode |= f->mode-1;
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if (f->wpos != f->wbase) f->write(f, 0, 0);
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f->wpos = f->wbase = f->wend = 0;
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if (f->flags & F_NORD) {
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f->flags |= F_ERR;
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return EOF;
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}
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f->rpos = f->rend = f->buf + f->buf_size;
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return (f->flags & F_EOF) ? EOF : 0;
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}
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static int __uflow(struct MuslFILE *f)
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{
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unsigned char c;
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if (!__toread(f) && f->read(f, &c, 1)==1) return c;
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return EOF;
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}
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static int __shgetc(struct MuslFILE *f)
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{
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int c;
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off_t cnt = shcnt(f);
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if ((f->shlim && cnt >= f->shlim) || (c=__uflow(f)) < 0) {
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f->shcnt = f->buf - f->rpos + cnt;
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f->shend = f->rpos;
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f->shlim = -1;
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return EOF;
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}
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cnt++;
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if (f->shlim && f->rend - f->rpos > f->shlim - cnt)
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f->shend = f->rpos + (f->shlim - cnt);
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else
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f->shend = f->rend;
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f->shcnt = f->buf - f->rpos + cnt;
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if (f->rpos[-1] != c) f->rpos[-1] = c;
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return c;
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}
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static long long scanexp(struct MuslFILE *f, int pok)
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{
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int c;
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int x;
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long long y;
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int neg = 0;
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c = shgetc(f);
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if (c=='+' || c=='-') {
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neg = (c=='-');
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c = shgetc(f);
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if (c-'0'>=10U && pok) shunget(f);
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}
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if (c-'0'>=10U) {
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shunget(f);
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return LLONG_MIN;
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}
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for (x=0; c-'0'<10U && x<INT_MAX/10; c = shgetc(f))
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x = 10*x + c-'0';
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for (y=x; c-'0'<10U && y<LLONG_MAX/100; c = shgetc(f))
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y = 10*y + c-'0';
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for (; c-'0'<10U; c = shgetc(f));
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shunget(f);
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return neg ? -y : y;
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}
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static float128_t copysignf128(float128_t x, float128_t y)
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{
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union ldshape ux = {x}, uy = {y};
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ux.i.se &= 0x7fff;
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ux.i.se |= uy.i.se & 0x8000;
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return ux.f;
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}
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static void mul_eq_f128_float(float128_t *x, float op_float) {
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//x *= 0x1p120f;
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float32_t op_f32;
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memcpy(&op_f32, &op_float, sizeof(float));
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float128_t op_f128;
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f32_to_f128M(op_f32, &op_f128);
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float128_t new_value;
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f128M_mul(x, &op_f128, &new_value);
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*x = new_value;
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}
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static float128_t dbl_to_f128(double x) {
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float64_t x_f64;
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memcpy(&x_f64, &x, sizeof(double));
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float128_t result;
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f64_to_f128M(x_f64, &result);
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return result;
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}
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static float128_t fmodf128(float128_t x, float128_t y)
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{
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union ldshape ux = {x}, uy = {y};
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int ex = ux.i.se & 0x7fff;
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int ey = uy.i.se & 0x7fff;
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int sx = ux.i.se & 0x8000;
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float128_t zero;
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ui32_to_f128M(0, &zero);
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// if (y == 0 || isnan(y) || ex == 0x7fff)
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if (f128M_eq(&y, &zero) || f128M_isSignalingNaN(&y) || ex == 0x7fff) {
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//return (x*y)/(x*y);
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float128_t x_times_y;
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f128M_mul(&x, &y, &x_times_y);
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float128_t result;
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f128M_div(&x_times_y, &x_times_y, &result);
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return result;
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}
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ux.i.se = ex;
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uy.i.se = ey;
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//if (ux.f <= uy.f) {
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if (f128M_le(&ux.f, &uy.f)) {
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//if (ux.f == uy.f) {
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if (f128M_eq(&ux.f, &uy.f)) {
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//return 0*x;
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float128_t result;
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f128M_mul(&zero, &x, &result);
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return result;
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}
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return x;
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}
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/* normalize x and y */
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if (!ex) {
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//ux.f *= 0x1p120f;
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mul_eq_f128_float(&ux.f, 0x1p120f);
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ex = ux.i.se - 120;
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}
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if (!ey) {
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//uy.f *= 0x1p120f;
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mul_eq_f128_float(&uy.f, 0x1p120f);
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ey = uy.i.se - 120;
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}
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/* x mod y */
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uint64_t hi, lo, xhi, xlo, yhi, ylo;
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xhi = (ux.i2.hi & -1ULL>>16) | 1ULL<<48;
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yhi = (uy.i2.hi & -1ULL>>16) | 1ULL<<48;
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xlo = ux.i2.lo;
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ylo = uy.i2.lo;
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for (; ex > ey; ex--) {
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hi = xhi - yhi;
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lo = xlo - ylo;
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if (xlo < ylo)
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hi -= 1;
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if (hi >> 63 == 0) {
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if ((hi|lo) == 0) {
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//return 0*x;
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float128_t result;
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f128M_mul(&zero, &x, &result);
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return result;
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}
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xhi = 2*hi + (lo>>63);
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xlo = 2*lo;
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} else {
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xhi = 2*xhi + (xlo>>63);
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xlo = 2*xlo;
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}
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}
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hi = xhi - yhi;
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lo = xlo - ylo;
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if (xlo < ylo)
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hi -= 1;
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if (hi >> 63 == 0) {
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if ((hi|lo) == 0) {
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//return 0*x;
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float128_t result;
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f128M_mul(&zero, &x, &result);
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return result;
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}
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xhi = hi;
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xlo = lo;
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}
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for (; xhi >> 48 == 0; xhi = 2*xhi + (xlo>>63), xlo = 2*xlo, ex--);
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ux.i2.hi = xhi;
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ux.i2.lo = xlo;
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/* scale result */
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if (ex <= 0) {
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ux.i.se = (ex+120)|sx;
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//ux.f *= 0x1p-120f;
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mul_eq_f128_float(&ux.f, 0x1p-120f);
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} else
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ux.i.se = ex|sx;
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return ux.f;
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}
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static float128_t int_mul_f128_cast_u32(int sign, uint32_t x0) {
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float128_t x0_f128;
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ui32_to_f128M(x0, &x0_f128);
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float128_t sign_f128;
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i32_to_f128M(sign, &sign_f128);
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float128_t result;
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f128M_mul(&sign_f128, &x0_f128, &result);
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return result;
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}
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static float128_t triple_divide(int sign, uint32_t x0, int p10s) {
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float128_t part1 = int_mul_f128_cast_u32(sign, x0);
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float128_t p10s_f128;
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i32_to_f128M(p10s, &p10s_f128);
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float128_t result;
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f128M_div(&part1, &p10s_f128, &result);
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return result;
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}
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static float128_t triple_multiply(int sign, uint32_t x0, int p10s) {
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float128_t part1 = int_mul_f128_cast_u32(sign, x0);
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float128_t p10s_f128;
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i32_to_f128M(p10s, &p10s_f128);
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float128_t result;
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f128M_mul(&part1, &p10s_f128, &result);
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return result;
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}
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static void mul_eq_f128_int(float128_t *y, int sign) {
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float128_t sign_f128;
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i32_to_f128M(sign, &sign_f128);
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float128_t new_value;
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f128M_mul(y, &sign_f128, &new_value);
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*y = new_value;
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}
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static float128_t make_f128(uint64_t hi, uint64_t lo) {
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union ldshape ux;
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ux.i2.hi = hi;
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ux.i2.lo = lo;
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return ux.f;
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}
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static void mul_eq_f128_f128(float128_t *a, float128_t b) {
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float128_t new_value;
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f128M_mul(a, &b, &new_value);
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*a = new_value;
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}
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static void add_eq_f128_dbl(float128_t *a, double b) {
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float64_t b_f64;
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memcpy(&b_f64, &b, sizeof(double));
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float128_t b_f128;
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f64_to_f128M(b_f64, &b_f128);
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float128_t new_value;
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f128M_add(a, &b_f128, &new_value);
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*a = new_value;
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}
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static float128_t scalbnf128(float128_t x, int n)
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{
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union ldshape u;
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if (n > 16383) {
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//x *= 0x1p16383q;
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mul_eq_f128_f128(&x, make_f128(0x7ffe000000000000, 0x0000000000000000));
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n -= 16383;
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if (n > 16383) {
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//x *= 0x1p16383q;
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mul_eq_f128_f128(&x, make_f128(0x7ffe000000000000, 0x0000000000000000));
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n -= 16383;
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if (n > 16383)
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n = 16383;
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}
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} else if (n < -16382) {
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//x *= 0x1p-16382q * 0x1p113q;
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{
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float128_t mul_result;
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float128_t a = make_f128(0x0001000000000000, 0x0000000000000000);
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float128_t b = make_f128(0x4070000000000000, 0x0000000000000000);
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f128M_mul(&a, &b, &mul_result);
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mul_eq_f128_f128(&x, mul_result);
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}
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n += 16382 - 113;
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if (n < -16382) {
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//x *= 0x1p-16382q * 0x1p113q;
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{
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float128_t mul_result;
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float128_t a = make_f128(0x0001000000000000, 0x0000000000000000);
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float128_t b = make_f128(0x4070000000000000, 0x0000000000000000);
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f128M_mul(&a, &b, &mul_result);
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mul_eq_f128_f128(&x, mul_result);
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}
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n += 16382 - 113;
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if (n < -16382)
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n = -16382;
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}
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}
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//u.f = 1.0;
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ui32_to_f128M(1, &u.f);
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u.i.se = 0x3fff + n;
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mul_eq_f128_f128(&x, u.f);
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return x;
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}
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static float128_t fabsf128(float128_t x)
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{
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union ldshape u = {x};
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u.i.se &= 0x7fff;
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return u.f;
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}
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static float128_t decfloat(struct MuslFILE *f, int c, int bits, int emin, int sign, int pok)
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{
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uint32_t x[KMAX];
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static const uint32_t th[] = { LD_B1B_MAX };
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int i, j, k, a, z;
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long long lrp=0, dc=0;
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long long e10=0;
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int lnz = 0;
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int gotdig = 0, gotrad = 0;
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int rp;
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int e2;
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int emax = -emin-bits+3;
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int denormal = 0;
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float128_t y;
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float128_t zero;
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ui32_to_f128M(0, &zero);
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float128_t frac=zero;
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float128_t bias=zero;
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static const int p10s[] = { 10, 100, 1000, 10000,
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100000, 1000000, 10000000, 100000000 };
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j=0;
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k=0;
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/* Don't let leading zeros consume buffer space */
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for (; c=='0'; c = shgetc(f)) gotdig=1;
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if (c=='.') {
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gotrad = 1;
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for (c = shgetc(f); c=='0'; c = shgetc(f)) gotdig=1, lrp--;
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}
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x[0] = 0;
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for (; c-'0'<10U || c=='.'; c = shgetc(f)) {
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if (c == '.') {
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if (gotrad) break;
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gotrad = 1;
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lrp = dc;
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} else if (k < KMAX-3) {
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dc++;
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if (c!='0') lnz = dc;
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if (j) x[k] = x[k]*10 + c-'0';
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else x[k] = c-'0';
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if (++j==9) {
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k++;
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j=0;
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}
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gotdig=1;
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} else {
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dc++;
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if (c!='0') {
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lnz = (KMAX-4)*9;
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x[KMAX-4] |= 1;
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}
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}
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}
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if (!gotrad) lrp=dc;
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if (gotdig && (c|32)=='e') {
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e10 = scanexp(f, pok);
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if (e10 == LLONG_MIN) {
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if (pok) {
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shunget(f);
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} else {
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shlim(f, 0);
|
|
return zero;
|
|
}
|
|
e10 = 0;
|
|
}
|
|
lrp += e10;
|
|
} else if (c>=0) {
|
|
shunget(f);
|
|
}
|
|
if (!gotdig) {
|
|
errno = EINVAL;
|
|
shlim(f, 0);
|
|
return zero;
|
|
}
|
|
|
|
/* Handle zero specially to avoid nasty special cases later */
|
|
if (!x[0]) {
|
|
//return sign * 0.0;
|
|
return dbl_to_f128(sign * 0.0);
|
|
}
|
|
|
|
/* Optimize small integers (w/no exponent) and over/under-flow */
|
|
if (lrp==dc && dc<10 && (bits>30 || x[0]>>bits==0)) {
|
|
//return sign * (float128_t)x[0];
|
|
float128_t sign_f128;
|
|
i32_to_f128M(sign, &sign_f128);
|
|
float128_t x0_f128;
|
|
ui32_to_f128M(x[0], &x0_f128);
|
|
float128_t result;
|
|
f128M_mul(&sign_f128, &x0_f128, &result);
|
|
return result;
|
|
}
|
|
if (lrp > -emin/2) {
|
|
errno = ERANGE;
|
|
//return sign * LDBL_MAX * LDBL_MAX;
|
|
return zero;
|
|
}
|
|
if (lrp < emin-2*LDBL_MANT_DIG) {
|
|
errno = ERANGE;
|
|
//return sign * LDBL_MIN * LDBL_MIN;
|
|
return zero;
|
|
}
|
|
|
|
/* Align incomplete final B1B digit */
|
|
if (j) {
|
|
for (; j<9; j++) x[k]*=10;
|
|
k++;
|
|
j=0;
|
|
}
|
|
|
|
a = 0;
|
|
z = k;
|
|
e2 = 0;
|
|
rp = lrp;
|
|
|
|
/* Optimize small to mid-size integers (even in exp. notation) */
|
|
if (lnz<9 && lnz<=rp && rp < 18) {
|
|
if (rp == 9) {
|
|
//return sign * (float128_t)(x[0]);
|
|
return int_mul_f128_cast_u32(sign, x[0]);
|
|
}
|
|
if (rp < 9) {
|
|
//return sign * (float128_t)(x[0]) / p10s[8-rp];
|
|
return triple_divide(sign, x[0], p10s[8-rp]);
|
|
}
|
|
int bitlim = bits-3*(int)(rp-9);
|
|
if (bitlim>30 || x[0]>>bitlim==0)
|
|
//return sign * (float128_t)(x[0]) * p10s[rp-10];
|
|
return triple_multiply(sign, x[0], p10s[rp-10]);
|
|
}
|
|
|
|
/* Drop trailing zeros */
|
|
for (; !x[z-1]; z--);
|
|
|
|
/* Align radix point to B1B digit boundary */
|
|
if (rp % 9) {
|
|
int rpm9 = rp>=0 ? rp%9 : rp%9+9;
|
|
int p10 = p10s[8-rpm9];
|
|
uint32_t carry = 0;
|
|
for (k=a; k!=z; k++) {
|
|
uint32_t tmp = x[k] % p10;
|
|
x[k] = x[k]/p10 + carry;
|
|
carry = 1000000000/p10 * tmp;
|
|
if (k==a && !x[k]) {
|
|
a = (a+1 & MASK);
|
|
rp -= 9;
|
|
}
|
|
}
|
|
if (carry) x[z++] = carry;
|
|
rp += 9-rpm9;
|
|
}
|
|
|
|
/* Upscale until desired number of bits are left of radix point */
|
|
while (rp < 9*LD_B1B_DIG || (rp == 9*LD_B1B_DIG && x[a]<th[0])) {
|
|
uint32_t carry = 0;
|
|
e2 -= 29;
|
|
for (k=(z-1 & MASK); ; k=(k-1 & MASK)) {
|
|
uint64_t tmp = ((uint64_t)x[k] << 29) + carry;
|
|
if (tmp > 1000000000) {
|
|
carry = tmp / 1000000000;
|
|
x[k] = tmp % 1000000000;
|
|
} else {
|
|
carry = 0;
|
|
x[k] = tmp;
|
|
}
|
|
if (k==(z-1 & MASK) && k!=a && !x[k]) z = k;
|
|
if (k==a) break;
|
|
}
|
|
if (carry) {
|
|
rp += 9;
|
|
a = (a-1 & MASK);
|
|
if (a == z) {
|
|
z = (z-1 & MASK);
|
|
x[z-1 & MASK] |= x[z];
|
|
}
|
|
x[a] = carry;
|
|
}
|
|
}
|
|
|
|
/* Downscale until exactly number of bits are left of radix point */
|
|
for (;;) {
|
|
uint32_t carry = 0;
|
|
int sh = 1;
|
|
for (i=0; i<LD_B1B_DIG; i++) {
|
|
k = (a+i & MASK);
|
|
if (k == z || x[k] < th[i]) {
|
|
i=LD_B1B_DIG;
|
|
break;
|
|
}
|
|
if (x[a+i & MASK] > th[i]) break;
|
|
}
|
|
if (i==LD_B1B_DIG && rp==9*LD_B1B_DIG) break;
|
|
/* FIXME: find a way to compute optimal sh */
|
|
if (rp > 9+9*LD_B1B_DIG) sh = 9;
|
|
e2 += sh;
|
|
for (k=a; k!=z; k=(k+1 & MASK)) {
|
|
uint32_t tmp = x[k] & (1<<sh)-1;
|
|
x[k] = (x[k]>>sh) + carry;
|
|
carry = (1000000000>>sh) * tmp;
|
|
if (k==a && !x[k]) {
|
|
a = (a+1 & MASK);
|
|
i--;
|
|
rp -= 9;
|
|
}
|
|
}
|
|
if (carry) {
|
|
if ((z+1 & MASK) != a) {
|
|
x[z] = carry;
|
|
z = (z+1 & MASK);
|
|
} else x[z-1 & MASK] |= 1;
|
|
}
|
|
}
|
|
|
|
/* Assemble desired bits into floating point variable */
|
|
for (y=zero,i=0; i<LD_B1B_DIG; i++) {
|
|
if ((a+i & MASK)==z) x[(z=(z+1 & MASK))-1] = 0;
|
|
//y = 1000000000.0L * y + x[a+i & MASK];
|
|
float128_t const_f128;
|
|
ui64_to_f128M(1000000000, &const_f128);
|
|
float128_t mul_y;
|
|
f128M_mul(&const_f128, &y, &mul_y);
|
|
float128_t x_f128;
|
|
ui32_to_f128M(x[a+i & MASK], &x_f128);
|
|
f128M_add(&mul_y, &x_f128, &y);
|
|
}
|
|
|
|
//y *= sign;
|
|
mul_eq_f128_int(&y, sign);
|
|
|
|
/* Limit precision for denormal results */
|
|
if (bits > LDBL_MANT_DIG+e2-emin) {
|
|
bits = LDBL_MANT_DIG+e2-emin;
|
|
if (bits<0) bits=0;
|
|
denormal = 1;
|
|
}
|
|
|
|
/* Calculate bias term to force rounding, move out lower bits */
|
|
if (bits < LDBL_MANT_DIG) {
|
|
bias = copysignf128(dbl_to_f128(scalbn(1, 2*LDBL_MANT_DIG-bits-1)), y);
|
|
frac = fmodf128(y, dbl_to_f128(scalbn(1, LDBL_MANT_DIG-bits)));
|
|
//y -= frac;
|
|
{
|
|
float128_t new_value;
|
|
f128M_sub(&y, &frac, &new_value);
|
|
y = new_value;
|
|
}
|
|
//y += bias;
|
|
{
|
|
float128_t new_value;
|
|
f128M_add(&y, &frac, &new_value);
|
|
y = new_value;
|
|
}
|
|
}
|
|
|
|
/* Process tail of decimal input so it can affect rounding */
|
|
if ((a+i & MASK) != z) {
|
|
uint32_t t = x[a+i & MASK];
|
|
if (t < 500000000 && (t || (a+i+1 & MASK) != z)) {
|
|
//frac += 0.25*sign;
|
|
add_eq_f128_dbl(&frac, 0.25*sign);
|
|
} else if (t > 500000000) {
|
|
//frac += 0.75*sign;
|
|
add_eq_f128_dbl(&frac, 0.75*sign);
|
|
} else if (t == 500000000) {
|
|
if ((a+i+1 & MASK) == z) {
|
|
//frac += 0.5*sign;
|
|
add_eq_f128_dbl(&frac, 0.5*sign);
|
|
} else {
|
|
//frac += 0.75*sign;
|
|
add_eq_f128_dbl(&frac, 0.75*sign);
|
|
}
|
|
}
|
|
//if (LDBL_MANT_DIG-bits >= 2 && !fmodf128(frac, 1))
|
|
if (LDBL_MANT_DIG-bits >= 2) {
|
|
float128_t one;
|
|
ui32_to_f128M(1, &one);
|
|
float128_t mod_result = fmodf128(frac, one);
|
|
if (f128M_eq(&mod_result, &zero)) {
|
|
//frac++;
|
|
add_eq_f128_dbl(&frac, 1.0);
|
|
}
|
|
}
|
|
}
|
|
|
|
//y += frac;
|
|
{
|
|
float128_t new_value;
|
|
f128M_add(&y, &frac, &new_value);
|
|
y = new_value;
|
|
}
|
|
//y -= bias;
|
|
{
|
|
float128_t new_value;
|
|
f128M_sub(&y, &bias, &new_value);
|
|
y = new_value;
|
|
}
|
|
|
|
if ((e2+LDBL_MANT_DIG & INT_MAX) > emax-5) {
|
|
//if (fabsf128(y) >= 0x1p113)
|
|
float128_t abs_y = fabsf128(y);
|
|
float128_t mant_f128 = make_f128(0x4070000000000000, 0x0000000000000000);
|
|
if (!f128M_lt(&abs_y, &mant_f128)) {
|
|
if (denormal && bits==LDBL_MANT_DIG+e2-emin)
|
|
denormal = 0;
|
|
//y *= 0.5;
|
|
{
|
|
float128_t point_5 = dbl_to_f128(0.5);
|
|
float128_t new_value;
|
|
f128M_mul(&y, &point_5, &new_value);
|
|
y = new_value;
|
|
}
|
|
|
|
e2++;
|
|
}
|
|
if (e2+LDBL_MANT_DIG>emax || (denormal && !f128M_eq(&frac, &zero)))
|
|
errno = ERANGE;
|
|
}
|
|
|
|
return scalbnf128(y, e2);
|
|
}
|
|
|
|
static float128_t hexfloat(struct MuslFILE *f, int bits, int emin, int sign, int pok)
|
|
{
|
|
float128_t zero;
|
|
ui32_to_f128M(0, &zero);
|
|
float128_t one;
|
|
ui32_to_f128M(1, &one);
|
|
float128_t sixteen;
|
|
ui32_to_f128M(16, &sixteen);
|
|
float128_t point_5 = dbl_to_f128(0.5);
|
|
|
|
uint32_t x = 0;
|
|
float128_t y = zero;
|
|
float128_t scale = one;
|
|
float128_t bias = zero;
|
|
int gottail = 0, gotrad = 0, gotdig = 0;
|
|
long long rp = 0;
|
|
long long dc = 0;
|
|
long long e2 = 0;
|
|
int d;
|
|
int c;
|
|
|
|
c = shgetc(f);
|
|
|
|
/* Skip leading zeros */
|
|
for (; c=='0'; c = shgetc(f)) gotdig = 1;
|
|
|
|
if (c=='.') {
|
|
gotrad = 1;
|
|
c = shgetc(f);
|
|
/* Count zeros after the radix point before significand */
|
|
for (rp=0; c=='0'; c = shgetc(f), rp--) gotdig = 1;
|
|
}
|
|
|
|
for (; c-'0'<10U || (c|32)-'a'<6U || c=='.'; c = shgetc(f)) {
|
|
if (c=='.') {
|
|
if (gotrad) break;
|
|
rp = dc;
|
|
gotrad = 1;
|
|
} else {
|
|
gotdig = 1;
|
|
if (c > '9') d = (c|32)+10-'a';
|
|
else d = c-'0';
|
|
if (dc<8) {
|
|
x = x*16 + d;
|
|
} else if (dc < LDBL_MANT_DIG/4+1) {
|
|
//y += d*(scale/=16);
|
|
{
|
|
float128_t divided;
|
|
f128M_div(&scale, &sixteen, ÷d);
|
|
scale = divided;
|
|
float128_t d_f128;
|
|
i32_to_f128M(d, &d_f128);
|
|
float128_t add_op;
|
|
f128M_mul(&d_f128, &scale, &add_op);
|
|
float128_t new_y;
|
|
f128M_add(&y, &add_op, &new_y);
|
|
y = new_y;
|
|
}
|
|
} else if (d && !gottail) {
|
|
//y += 0.5*scale;
|
|
{
|
|
float128_t add_op;
|
|
f128M_mul(&point_5, &scale, &add_op);
|
|
float128_t new_y;
|
|
f128M_add(&y, &add_op, &new_y);
|
|
y = new_y;
|
|
}
|
|
gottail = 1;
|
|
}
|
|
dc++;
|
|
}
|
|
}
|
|
if (!gotdig) {
|
|
shunget(f);
|
|
if (pok) {
|
|
shunget(f);
|
|
if (gotrad) shunget(f);
|
|
} else {
|
|
shlim(f, 0);
|
|
}
|
|
//return sign * 0.0;
|
|
return dbl_to_f128(sign * 0.0);
|
|
}
|
|
if (!gotrad) rp = dc;
|
|
while (dc<8) x *= 16, dc++;
|
|
if ((c|32)=='p') {
|
|
e2 = scanexp(f, pok);
|
|
if (e2 == LLONG_MIN) {
|
|
if (pok) {
|
|
shunget(f);
|
|
} else {
|
|
shlim(f, 0);
|
|
return zero;
|
|
}
|
|
e2 = 0;
|
|
}
|
|
} else {
|
|
shunget(f);
|
|
}
|
|
e2 += 4*rp - 32;
|
|
|
|
if (!x) {
|
|
//return sign * 0.0;
|
|
return dbl_to_f128(sign * 0.0);
|
|
}
|
|
if (e2 > -emin) {
|
|
errno = ERANGE;
|
|
//return sign * LDBL_MAX * LDBL_MAX;
|
|
return zero;
|
|
}
|
|
if (e2 < emin-2*LDBL_MANT_DIG) {
|
|
errno = ERANGE;
|
|
//return sign * LDBL_MIN * LDBL_MIN;
|
|
return zero;
|
|
}
|
|
|
|
while (x < 0x80000000) {
|
|
//if (y>=0.5)
|
|
if (!f128M_lt(&y, &point_5)) {
|
|
x += x + 1;
|
|
//y += y - 1;
|
|
{
|
|
float128_t minus_one;
|
|
f128M_sub(&y, &one, &minus_one);
|
|
float128_t new_y;
|
|
f128M_add(&y, &minus_one, &new_y);
|
|
y = new_y;
|
|
}
|
|
} else {
|
|
x += x;
|
|
//y += y;
|
|
{
|
|
float128_t new_y;
|
|
f128M_add(&y, &y, &new_y);
|
|
y = new_y;
|
|
}
|
|
}
|
|
e2--;
|
|
}
|
|
|
|
if (bits > 32+e2-emin) {
|
|
bits = 32+e2-emin;
|
|
if (bits<0) bits=0;
|
|
}
|
|
|
|
if (bits < LDBL_MANT_DIG) {
|
|
float128_t sign_f128;
|
|
i32_to_f128M(sign, &sign_f128);
|
|
bias = copysignf128(dbl_to_f128(scalbn(1, 32+LDBL_MANT_DIG-bits-1)), sign_f128);
|
|
}
|
|
|
|
//if (bits<32 && y && !(x&1)) x++, y=0;
|
|
if (bits<32 && !f128M_eq(&y, &zero) && !(x&1)) x++, y=zero;
|
|
|
|
//y = bias + sign*(float128_t)x + sign*y;
|
|
{
|
|
float128_t x_f128;
|
|
ui32_to_f128M(x, &x_f128);
|
|
float128_t sign_f128;
|
|
i32_to_f128M(sign, &sign_f128);
|
|
float128_t sign_mul_x;
|
|
f128M_mul(&sign_f128, &x_f128, &sign_mul_x);
|
|
float128_t sign_mul_y;
|
|
f128M_mul(&sign_f128, &y, &sign_mul_y);
|
|
float128_t bias_op;
|
|
f128M_add(&bias, &sign_mul_x, &bias_op);
|
|
float128_t new_y;
|
|
f128M_add(&bias_op, &sign_mul_y, &new_y);
|
|
y = new_y;
|
|
}
|
|
//y -= bias;
|
|
{
|
|
float128_t new_y;
|
|
f128M_sub(&y, &bias, &new_y);
|
|
y = new_y;
|
|
}
|
|
|
|
if (f128M_eq(&y, &zero)) errno = ERANGE;
|
|
|
|
return scalbnf128(y, e2);
|
|
}
|
|
|
|
static int isspace(int c)
|
|
{
|
|
return c == ' ' || (unsigned)c-'\t' < 5;
|
|
}
|
|
|
|
static inline float128_t makeInf128() {
|
|
union ldshape ux;
|
|
ux.i2.hi = 0x7fff000000000000UL;
|
|
ux.i2.lo = 0x0UL;
|
|
return ux.f;
|
|
}
|
|
|
|
static inline float128_t makeNaN128() {
|
|
uint64_t rand = 0UL;
|
|
union ldshape ux;
|
|
ux.i2.hi = 0x7fff000000000000UL | (rand & 0xffffffffffffUL);
|
|
ux.i2.lo = 0x0UL;
|
|
return ux.f;
|
|
}
|
|
|
|
float128_t __floatscan(struct MuslFILE *f, int prec, int pok)
|
|
{
|
|
int sign = 1;
|
|
size_t i;
|
|
int bits = LDBL_MANT_DIG;
|
|
int emin = LDBL_MIN_EXP-bits;
|
|
int c;
|
|
|
|
while (isspace((c=shgetc(f))));
|
|
|
|
if (c=='+' || c=='-') {
|
|
sign -= 2*(c=='-');
|
|
c = shgetc(f);
|
|
}
|
|
|
|
for (i=0; i<8 && (c|32)=="infinity"[i]; i++)
|
|
if (i<7) c = shgetc(f);
|
|
if (i==3 || i==8 || (i>3 && pok)) {
|
|
if (i!=8) {
|
|
shunget(f);
|
|
if (pok) for (; i>3; i--) shunget(f);
|
|
}
|
|
//return sign * INFINITY;
|
|
float128_t sign_f128;
|
|
i32_to_f128M(sign, &sign_f128);
|
|
float128_t infinity_f128 = makeInf128();
|
|
float128_t result;
|
|
f128M_mul(&sign_f128, &infinity_f128, &result);
|
|
return result;
|
|
}
|
|
if (!i) for (i=0; i<3 && (c|32)=="nan"[i]; i++)
|
|
if (i<2) c = shgetc(f);
|
|
if (i==3) {
|
|
if (shgetc(f) != '(') {
|
|
shunget(f);
|
|
return makeNaN128();
|
|
}
|
|
for (i=1; ; i++) {
|
|
c = shgetc(f);
|
|
if (c-'0'<10U || c-'A'<26U || c-'a'<26U || c=='_')
|
|
continue;
|
|
if (c==')') return makeNaN128();
|
|
shunget(f);
|
|
if (!pok) {
|
|
errno = EINVAL;
|
|
shlim(f, 0);
|
|
float128_t zero;
|
|
ui32_to_f128M(0, &zero);
|
|
return zero;
|
|
}
|
|
while (i--) shunget(f);
|
|
return makeNaN128();
|
|
}
|
|
return makeNaN128();
|
|
}
|
|
|
|
if (i) {
|
|
shunget(f);
|
|
errno = EINVAL;
|
|
shlim(f, 0);
|
|
float128_t zero;
|
|
ui32_to_f128M(0, &zero);
|
|
return zero;
|
|
}
|
|
|
|
if (c=='0') {
|
|
c = shgetc(f);
|
|
if ((c|32) == 'x')
|
|
return hexfloat(f, bits, emin, sign, pok);
|
|
shunget(f);
|
|
c = '0';
|
|
}
|
|
|
|
return decfloat(f, c, bits, emin, sign, pok);
|
|
}
|
|
|
|
float128_t parse_f128(const char *s, char **p) {
|
|
struct MuslFILE f;
|
|
sh_fromstring(&f, s);
|
|
shlim(&f, 0);
|
|
float128_t y = __floatscan(&f, 2, 1);
|
|
off_t cnt = shcnt(&f);
|
|
if (p) *p = cnt ? (char *)s + cnt : (char *)s;
|
|
return y;
|
|
}
|