#include <stdio.h>
#include <stdint.h>
#include <mpfr.h>
#include "gen.h"
static int rmap(int r)
{
switch (r) {
case RN: return MPFR_RNDN;
case RZ: return MPFR_RNDZ;
case RD: return MPFR_RNDD;
case RU: return MPFR_RNDU;
}
return -1;
}
void debug(mpfr_t x)
{
mpfr_out_str(stdout, 10, 0, x, MPFR_RNDN);
printf("\n");
}
void mpsetup()
{
mpfr_set_emin(-1073);
mpfr_set_emax(1024);
}
void mpsetupf()
{
mpfr_set_emin(-148);
mpfr_set_emax(128);
}
#if LDBL_MANT_DIG == 64
void mpsetupl()
{
mpfr_set_emin(-16444);
mpfr_set_emax(16384);
}
#endif
/*
round x into y considering x is already rounded (t = up or down)
only cases where adjustment is done:
x=...|1...0, t=up -> x=nextbelow(x)
x=...|1...0, t=down -> x=nextabove(x)
where | is the rounding point, ... is 0 or 1 bit patterns
*/
// TODO: adjust(y, 0, 2, RN); when prec is 24 (0 vs 0x1p-149f), special case x=0
static int adjust_round(mpfr_t y, mpfr_t x, int t, int r)
{
mp_limb_t *p, *q;
unsigned xp, yp;
int t2;
xp = mpfr_get_prec(x);
yp = mpfr_get_prec(y);
if (yp >= xp || r != MPFR_RNDN || t == 0 || !mpfr_number_p(x) || mpfr_zero_p(x)) {
t2 = mpfr_set(y, x, r);
return t2 ? t2 : t;
}
p = x->_mpfr_d;
yp++;
q = p + (xp + mp_bits_per_limb - 1)/mp_bits_per_limb - (yp + mp_bits_per_limb - 1)/mp_bits_per_limb;
if ((*p & 1 << -xp%mp_bits_per_limb) || !(*q & 1 << -yp%mp_bits_per_limb)) {
t2 = mpfr_set(y, x, r);
return t2 ? t2 : t;
}
if (t > 0)
mpfr_nextbelow(x);
else
mpfr_nextabove(x);
return mpfr_set(y, x, r);
}
static int adjust(mpfr_t mr, mpfr_t my, int t, int r)
{
// double d, dn, dp;
//printf("adj %d\n", t);
//debug(my);
t = adjust_round(mr, my, t, r);
//printf("rnd %d\n", t);
//debug(mr);
t = mpfr_subnormalize(mr, t, r);
//printf("sub %d\n", t);
//debug(mr);
// d = mpfr_get_d(mr, r);
// dn = nextafter(d, INFINITY);
// dp = nextafter(d, -INFINITY);
//printf("c\n %.21e %a\n %.21e %a\n %.21e %a\n",d,d,dn,dn,dp,dp);
// dn = nextafterf(d, INFINITY);
// dp = nextafterf(d, -INFINITY);
//printf("cf\n %.21e %a\n %.21e %a\n %.21e %a\n",d,d,dn,dn,dp,dp);
return t;
}
// TODO
//static int eflags(mpfr_t mr, mpfr_t my, int t)
static int eflags(int naninput)
{
int i = 0;
if (mpfr_inexflag_p())
i |= FE_INEXACT;
// if (mpfr_underflow_p() && (t || mpfr_cmp(mr, my) != 0))
if (mpfr_underflow_p() && i)
i |= FE_UNDERFLOW;
if (mpfr_overflow_p())
i |= FE_OVERFLOW;
if (mpfr_divby0_p())
i |= FE_DIVBYZERO;
if (!naninput && (mpfr_nanflag_p() || mpfr_erangeflag_p()))
i |= FE_INVALID;
return i;
}
static void genf(struct t *p, mpfr_t my, int t, int r)
{
MPFR_DECL_INIT(mr, 24);
int i;
t = adjust(mr, my, t, r);
p->y = mpfr_get_flt(mr, r);
p->e = eflags(isnan(p->x) || isnan(p->x2));
i = eulpf(p->y);
if (!isfinite(p->y)) {
p->dy = 0;
} else if (i < 0) {
mpfr_div_2si(mr, mr, i, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
mpfr_sub(my, mr, my, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
} else {
mpfr_sub(my, mr, my, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
}
}
static int mpf1(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, mpfr_rnd_t))
{
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 24);
MPFR_DECL_INIT(my, 128);
mpsetupf();
mpfr_clear_flags();
mpfr_set_flt(mx, p->x, MPFR_RNDN);
tn = fmp(my, mx, r);
p->x2 = 0;
genf(p, my, tn, r);
if ((p->e & INEXACT) && nextafterf(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, r);
mpfr_mul_2si(my, my, 149, MPFR_RNDN);
p->dy = scalbnl(p->y, 149) - mpfr_get_ld(my, r);
mpfr_set_emin(-148);
}
return 0;
}
static int mpf2(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t))
{
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 24);
MPFR_DECL_INIT(mx2, 24);
MPFR_DECL_INIT(my, 128);
mpsetupf();
mpfr_clear_flags();
mpfr_set_flt(mx, p->x, MPFR_RNDN);
mpfr_set_flt(mx2, p->x2, MPFR_RNDN);
tn = fmp(my, mx, mx2, r);
genf(p, my, tn, r);
if ((p->e & INEXACT) && nextafterf(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, mx2, r);
mpfr_mul_2si(my, my, 149, MPFR_RNDN);
p->dy = scalbnl(p->y, 149) - mpfr_get_ld(my, r);
mpfr_set_emin(-148);
}
return 0;
}
static void gend(struct t *p, mpfr_t my, int t, int r)
{
MPFR_DECL_INIT(mr, 53);
int i;
t = adjust(mr, my, t, r);
p->y = mpfr_get_d(mr, r);
p->e = eflags(isnan(p->x) || isnan(p->x2));
i = eulp(p->y);
if (!isfinite(p->y)) {
p->dy = 0;
} else if (i < 0) {
mpfr_div_2si(mr, mr, i, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
mpfr_sub(my, mr, my, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
} else {
mpfr_sub(my, mr, my, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
}
}
static int mpd1(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, mpfr_rnd_t))
{
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 53);
MPFR_DECL_INIT(my, 128);
mpsetup();
mpfr_clear_flags();
mpfr_set_d(mx, p->x, MPFR_RNDN);
tn = fmp(my, mx, r);
//printf("underflow: %d\n", mpfr_underflow_p());
p->x2 = 0;
gend(p, my, tn, r);
//printf("dy: %a %.3f\n", p->dy, p->dy);
if ((p->e & INEXACT) && nextafter(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, r);
mpfr_mul_2si(my, my, 1074, MPFR_RNDN);
//debug(my);
p->dy = scalbnl(p->y, 1074) - mpfr_get_ld(my, r);
//printf("dy: %a %.3f\n", p->dy, p->dy);
mpfr_set_emin(-1073);
}
return 0;
}
static int mpd2(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t))
{
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 53);
MPFR_DECL_INIT(mx2, 53);
MPFR_DECL_INIT(my, 128);
mpsetup();
mpfr_clear_flags();
mpfr_set_d(mx, p->x, MPFR_RNDN);
mpfr_set_d(mx2, p->x2, MPFR_RNDN);
tn = fmp(my, mx, mx2, r);
gend(p, my, tn, r);
if ((p->e & INEXACT) && nextafter(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, mx2, r);
mpfr_mul_2si(my, my, 1074, MPFR_RNDN);
p->dy = scalbnl(p->y, 1074) - mpfr_get_ld(my, r);
mpfr_set_emin(-1073);
}
return 0;
}
#if LDBL_MANT_DIG == 64
static void genl(struct t *p, mpfr_t my, int t, int r)
{
MPFR_DECL_INIT(mr, 64);
int i;
t = adjust(mr, my, t, r);
p->y = mpfr_get_ld(mr, r);
p->e = eflags(isnan(p->x) || isnan(p->x2));
i = eulpl(p->y);
if (!isfinite(p->y)) {
p->dy = 0;
} else if (i < 0) {
mpfr_div_2si(mr, mr, i, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
mpfr_sub(my, mr, my, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
} else {
mpfr_sub(my, mr, my, MPFR_RNDN);
mpfr_div_2si(my, my, i, MPFR_RNDN);
p->dy = mpfr_get_flt(my, r);
}
}
#endif
static int mpl1(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, mpfr_rnd_t))
{
#if LDBL_MANT_DIG == 53
return mpd1(p, fmp);
#elif LDBL_MANT_DIG == 64
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 64);
MPFR_DECL_INIT(my, 128);
mpsetupl();
mpfr_clear_flags();
mpfr_set_ld(mx, p->x, MPFR_RNDN);
tn = fmp(my, mx, r);
p->x2 = 0;
genl(p, my, tn, r);
if ((p->e & INEXACT) && nextafterl(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, r);
mpfr_mul_2si(my, my, 16445, MPFR_RNDN);
p->dy = scalbnl(p->y, 16445) - mpfr_get_ld(my, r);
mpfr_set_emin(-16444);
}
return 0;
#else
return -1;
#endif
}
static int mpl2(struct t *p, int (*fmp)(mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t))
{
#if LDBL_MANT_DIG == 53
return mpd2(p, fmp);
#elif LDBL_MANT_DIG == 64
int tn;
int r = rmap(p->r);
MPFR_DECL_INIT(mx, 64);
MPFR_DECL_INIT(mx2, 64);
MPFR_DECL_INIT(my, 128);
mpsetupl();
mpfr_clear_flags();
mpfr_set_ld(mx, p->x, MPFR_RNDN);
mpfr_set_ld(mx2, p->x2, MPFR_RNDN);
tn = fmp(my, mx, mx2, r);
genl(p, my, tn, r);
if ((p->e & INEXACT) && nextafterl(p->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = fmp(my, mx, mx2, r);
mpfr_mul_2si(my, my, 16445, MPFR_RNDN);
p->dy = scalbnl(p->y, 16445) - mpfr_get_ld(my, r);
mpfr_set_emin(-16444);
}
return 0;
#else
return -1;
#endif
}
// TODO
static int mplgamma_sign;
static int wrap_lgamma(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_lgamma(my, &mplgamma_sign, mx, r);
}
static long mpremquo_q;
static int wrap_remquo(mpfr_t my, const mpfr_t mx, const mpfr_t mx2, mpfr_rnd_t r)
{
return mpfr_remquo(my, &mpremquo_q, mx, mx2, r);
}
static int mpbessel_n;
static int wrap_jn(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_jn(my, mpbessel_n, mx, r);
}
static int wrap_yn(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_yn(my, mpbessel_n, mx, r);
}
static int wrap_ceil(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_ceil(my, mx);
}
static int wrap_floor(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_floor(my, mx);
}
static int wrap_round(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_round(my, mx);
}
static int wrap_trunc(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_trunc(my, mx);
}
static int wrap_nearbyint(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
int i = mpfr_rint(my, mx, r);
mpfr_clear_inexflag();
return i;
}
static int wrap_pow10(mpfr_t my, const mpfr_t mx, mpfr_rnd_t r)
{
return mpfr_ui_pow(my, 10, mx, r);
}
int mpacos(struct t *t) { return mpd1(t, mpfr_acos); }
int mpacosf(struct t *t) { return mpf1(t, mpfr_acos); }
int mpacosl(struct t *t) { return mpl1(t, mpfr_acos); }
int mpacosh(struct t *t) { return mpd1(t, mpfr_acosh); }
int mpacoshf(struct t *t) { return mpf1(t, mpfr_acosh); }
int mpacoshl(struct t *t) { return mpl1(t, mpfr_acosh); }
int mpasin(struct t *t) { return mpd1(t, mpfr_asin); }
int mpasinf(struct t *t) { return mpf1(t, mpfr_asin); }
int mpasinl(struct t *t) { return mpl1(t, mpfr_asin); }
int mpasinh(struct t *t) { return mpd1(t, mpfr_asinh); }
int mpasinhf(struct t *t) { return mpf1(t, mpfr_asinh); }
int mpasinhl(struct t *t) { return mpl1(t, mpfr_asinh); }
int mpatan(struct t *t) { return mpd1(t, mpfr_atan); }
int mpatanf(struct t *t) { return mpf1(t, mpfr_atan); }
int mpatanl(struct t *t) { return mpl1(t, mpfr_atan); }
int mpatan2(struct t *t) { return mpd2(t, mpfr_atan2); }
int mpatan2f(struct t *t) { return mpf2(t, mpfr_atan2); }
int mpatan2l(struct t *t) { return mpl2(t, mpfr_atan2); }
int mpatanh(struct t *t) { return mpd1(t, mpfr_atanh); }
int mpatanhf(struct t *t) { return mpf1(t, mpfr_atanh); }
int mpatanhl(struct t *t) { return mpl1(t, mpfr_atanh); }
int mpcbrt(struct t *t) { return mpd1(t, mpfr_cbrt); }
int mpcbrtf(struct t *t) { return mpf1(t, mpfr_cbrt); }
int mpcbrtl(struct t *t) { return mpl1(t, mpfr_cbrt); }
int mpceil(struct t *t) { return mpd1(t, wrap_ceil); }
int mpceilf(struct t *t) { return mpf1(t, wrap_ceil); }
int mpceill(struct t *t) { return mpl1(t, wrap_ceil); }
int mpcopysign(struct t *t) { return mpd2(t, mpfr_copysign); }
int mpcopysignf(struct t *t) { return mpf2(t, mpfr_copysign); }
int mpcopysignl(struct t *t) { return mpl2(t, mpfr_copysign); }
int mpcos(struct t *t) { return mpd1(t, mpfr_cos); }
int mpcosf(struct t *t) { return mpf1(t, mpfr_cos); }
int mpcosl(struct t *t) { return mpl1(t, mpfr_cos); }
int mpcosh(struct t *t) { return mpd1(t, mpfr_cosh); }
int mpcoshf(struct t *t) { return mpf1(t, mpfr_cosh); }
int mpcoshl(struct t *t) { return mpl1(t, mpfr_cosh); }
int mperf(struct t *t) { return mpd1(t, mpfr_erf); }
int mperff(struct t *t) { return mpf1(t, mpfr_erf); }
int mperfl(struct t *t) { return mpl1(t, mpfr_erf); }
int mperfc(struct t *t) { return mpd1(t, mpfr_erfc); }
int mperfcf(struct t *t) { return mpf1(t, mpfr_erfc); }
int mperfcl(struct t *t) { return mpl1(t, mpfr_erfc); }
int mpexp(struct t *t) { return mpd1(t, mpfr_exp); }
int mpexpf(struct t *t) { return mpf1(t, mpfr_exp); }
int mpexpl(struct t *t) { return mpl1(t, mpfr_exp); }
int mpexp2(struct t *t) { return mpd1(t, mpfr_exp2); }
int mpexp2f(struct t *t) { return mpf1(t, mpfr_exp2); }
int mpexp2l(struct t *t) { return mpl1(t, mpfr_exp2); }
int mpexpm1(struct t *t) { return mpd1(t, mpfr_expm1); }
int mpexpm1f(struct t *t) { return mpf1(t, mpfr_expm1); }
int mpexpm1l(struct t *t) { return mpl1(t, mpfr_expm1); }
int mpfabs(struct t *t) { return mpd1(t, mpfr_abs); }
int mpfabsf(struct t *t) { return mpf1(t, mpfr_abs); }
int mpfabsl(struct t *t) { return mpl1(t, mpfr_abs); }
int mpfdim(struct t *t) { return mpd2(t, mpfr_dim); }
int mpfdimf(struct t *t) { return mpf2(t, mpfr_dim); }
int mpfdiml(struct t *t) { return mpl2(t, mpfr_dim); }
int mpfloor(struct t *t) { return mpd1(t, wrap_floor); }
int mpfloorf(struct t *t) { return mpf1(t, wrap_floor); }
int mpfloorl(struct t *t) { return mpl1(t, wrap_floor); }
int mpfmax(struct t *t) { return mpd2(t, mpfr_max); }
int mpfmaxf(struct t *t) { return mpf2(t, mpfr_max); }
int mpfmaxl(struct t *t) { return mpl2(t, mpfr_max); }
int mpfmin(struct t *t) { return mpd2(t, mpfr_min); }
int mpfminf(struct t *t) { return mpf2(t, mpfr_min); }
int mpfminl(struct t *t) { return mpl2(t, mpfr_min); }
int mpfmod(struct t *t) { return mpd2(t, mpfr_fmod); }
int mpfmodf(struct t *t) { return mpf2(t, mpfr_fmod); }
int mpfmodl(struct t *t) { return mpl2(t, mpfr_fmod); }
int mphypot(struct t *t) { return mpd2(t, mpfr_hypot); }
int mphypotf(struct t *t) { return mpf2(t, mpfr_hypot); }
int mphypotl(struct t *t) { return mpl2(t, mpfr_hypot); }
int mplgamma(struct t *t) { return mpd1(t, wrap_lgamma) || (t->i = mplgamma_sign, 0); }
int mplgammaf(struct t *t) { return mpf1(t, wrap_lgamma) || (t->i = mplgamma_sign, 0); }
int mplgammal(struct t *t) { return mpl1(t, wrap_lgamma) || (t->i = mplgamma_sign, 0); }
int mplog(struct t *t) { return mpd1(t, mpfr_log); }
int mplogf(struct t *t) { return mpf1(t, mpfr_log); }
int mplogl(struct t *t) { return mpl1(t, mpfr_log); }
int mplog10(struct t *t) { return mpd1(t, mpfr_log10); }
int mplog10f(struct t *t) { return mpf1(t, mpfr_log10); }
int mplog10l(struct t *t) { return mpl1(t, mpfr_log10); }
int mplog1p(struct t *t) { return mpd1(t, mpfr_log1p); }
int mplog1pf(struct t *t) { return mpf1(t, mpfr_log1p); }
int mplog1pl(struct t *t) { return mpl1(t, mpfr_log1p); }
int mplog2(struct t *t) { return mpd1(t, mpfr_log2); }
int mplog2f(struct t *t) { return mpf1(t, mpfr_log2); }
int mplog2l(struct t *t) { return mpl1(t, mpfr_log2); }
int mplogb(struct t *t)
{
MPFR_DECL_INIT(mx, 53);
t->dy = 0;
t->e = 0;
if (t->x == 0) {
t->y = -INFINITY;
t->e |= DIVBYZERO;
return 0;
}
if (isinf(t->x)) {
t->y = INFINITY;
return 0;
}
if (isnan(t->x)) {
t->y = t->x;
return 0;
}
mpfr_set_d(mx, t->x, MPFR_RNDN);
t->y = mpfr_get_exp(mx) - 1;
return 0;
}
int mplogbf(struct t *t)
{
MPFR_DECL_INIT(mx, 24);
t->dy = 0;
t->e = 0;
if (t->x == 0) {
t->y = -INFINITY;
t->e |= DIVBYZERO;
return 0;
}
if (isinf(t->x)) {
t->y = INFINITY;
return 0;
}
if (isnan(t->x)) {
t->y = t->x;
return 0;
}
mpfr_set_flt(mx, t->x, MPFR_RNDN);
t->y = mpfr_get_exp(mx) - 1;
return 0;
}
int mplogbl(struct t *t)
{
MPFR_DECL_INIT(mx, 64);
t->dy = 0;
t->e = 0;
if (t->x == 0) {
t->y = -INFINITY;
t->e |= DIVBYZERO;
return 0;
}
if (isinf(t->x)) {
t->y = INFINITY;
return 0;
}
if (isnan(t->x)) {
t->y = t->x;
return 0;
}
mpfr_set_ld(mx, t->x, MPFR_RNDN);
t->y = mpfr_get_exp(mx) - 1;
return 0;
}
int mpnearbyint(struct t *t) { return mpd1(t, wrap_nearbyint) || (t->e&=~INEXACT, 0); }
int mpnearbyintf(struct t *t) { return mpf1(t, wrap_nearbyint) || (t->e&=~INEXACT, 0); }
int mpnearbyintl(struct t *t) { return mpl1(t, wrap_nearbyint) || (t->e&=~INEXACT, 0); }
// TODO: hard to implement with mpfr
int mpnextafter(struct t *t)
{
feclearexcept(FE_ALL_EXCEPT);
t->y = nextafter(t->x, t->x2);
t->e = getexcept();
t->dy = 0;
return 0;
}
int mpnextafterf(struct t *t)
{
feclearexcept(FE_ALL_EXCEPT);
t->y = nextafterf(t->x, t->x2);
t->e = getexcept();
t->dy = 0;
return 0;
}
int mpnextafterl(struct t *t)
{
feclearexcept(FE_ALL_EXCEPT);
t->y = nextafterl(t->x, t->x2);
t->e = getexcept();
t->dy = 0;
return 0;
}
int mpnexttoward(struct t *t)
{
feclearexcept(FE_ALL_EXCEPT);
t->y = nexttoward(t->x, t->x2);
t->e = getexcept();
t->dy = 0;
return 0;
}
int mpnexttowardf(struct t *t)
{
feclearexcept(FE_ALL_EXCEPT);
t->y = nexttowardf(t->x, t->x2);
t->e = getexcept();
t->dy = 0;
return 0;
}
int mpnexttowardl(struct t *t) { return mpnextafterl(t); }
int mppow(struct t *t) { return mpd2(t, mpfr_pow); }
int mppowf(struct t *t) { return mpf2(t, mpfr_pow); }
int mppowl(struct t *t) { return mpl2(t, mpfr_pow); }
int mpremainder(struct t *t) { return mpd2(t, mpfr_remainder); }
int mpremainderf(struct t *t) { return mpf2(t, mpfr_remainder); }
int mpremainderl(struct t *t) { return mpl2(t, mpfr_remainder); }
int mprint(struct t *t) { return mpd1(t, mpfr_rint); }
int mprintf(struct t *t) { return mpf1(t, mpfr_rint); }
int mprintl(struct t *t) { return mpl1(t, mpfr_rint); }
int mpround(struct t *t) { return mpd1(t, wrap_round); }
int mproundf(struct t *t) { return mpf1(t, wrap_round); }
int mproundl(struct t *t) { return mpl1(t, wrap_round); }
int mpsin(struct t *t) { return mpd1(t, mpfr_sin); }
int mpsinf(struct t *t) { return mpf1(t, mpfr_sin); }
int mpsinl(struct t *t) { return mpl1(t, mpfr_sin); }
int mpsinh(struct t *t) { return mpd1(t, mpfr_sinh); }
int mpsinhf(struct t *t) { return mpf1(t, mpfr_sinh); }
int mpsinhl(struct t *t) { return mpl1(t, mpfr_sinh); }
int mpsqrt(struct t *t) { return mpd1(t, mpfr_sqrt); }
int mpsqrtf(struct t *t) { return mpf1(t, mpfr_sqrt); }
int mpsqrtl(struct t *t) { return mpl1(t, mpfr_sqrt); }
int mptan(struct t *t) { return mpd1(t, mpfr_tan); }
int mptanf(struct t *t) { return mpf1(t, mpfr_tan); }
int mptanl(struct t *t) { return mpl1(t, mpfr_tan); }
int mptanh(struct t *t) { return mpd1(t, mpfr_tanh); }
int mptanhf(struct t *t) { return mpf1(t, mpfr_tanh); }
int mptanhl(struct t *t) { return mpl1(t, mpfr_tanh); }
// TODO: tgamma(2) raises wrong flags
int mptgamma(struct t *t) { return mpd1(t, mpfr_gamma); }
int mptgammaf(struct t *t) { return mpf1(t, mpfr_gamma); }
int mptgammal(struct t *t) { return mpl1(t, mpfr_gamma); }
int mptrunc(struct t *t) { return mpd1(t, wrap_trunc); }
int mptruncf(struct t *t) { return mpf1(t, wrap_trunc); }
int mptruncl(struct t *t) { return mpl1(t, wrap_trunc); }
int mpj0(struct t *t) { return mpd1(t, mpfr_j0); }
int mpj1(struct t *t) { return mpd1(t, mpfr_j1); }
int mpy0(struct t *t) { return mpd1(t, mpfr_y0); }
int mpy1(struct t *t) { return mpd1(t, mpfr_y1); }
// TODO: non standard functions
int mpscalb(struct t *t)
{
setupfenv(t->r);
t->y = scalb(t->x, t->x2);
t->e = getexcept();
t->dy = 0; // wrong
return 0;
}
int mpscalbf(struct t *t)
{
setupfenv(t->r);
t->y = scalbf(t->x, t->x2);
t->e = getexcept();
t->dy = 0; // wrong
return 0;
}
int mpj0f(struct t *t) { return mpf1(t, mpfr_j0); }
int mpj0l(struct t *t) { return mpl1(t, mpfr_j0); }
int mpj1f(struct t *t) { return mpf1(t, mpfr_j1); }
int mpj1l(struct t *t) { return mpl1(t, mpfr_j1); }
int mpy0f(struct t *t) { return mpf1(t, mpfr_y0); }
int mpy0l(struct t *t) { return mpl1(t, mpfr_y0); }
int mpy1f(struct t *t) { return mpf1(t, mpfr_y1); }
int mpy1l(struct t *t) { return mpl1(t, mpfr_y1); }
int mpexp10(struct t *t) { return mpd1(t, wrap_pow10); }
int mpexp10f(struct t *t) { return mpf1(t, wrap_pow10); }
int mpexp10l(struct t *t) { return mpl1(t, wrap_pow10); }
int mppow10(struct t *t) { return mpd1(t, wrap_pow10); }
int mppow10f(struct t *t) { return mpf1(t, wrap_pow10); }
int mppow10l(struct t *t) { return mpl1(t, wrap_pow10); }
int mpfrexp(struct t *t)
{
mpfr_exp_t e;
int k;
MPFR_DECL_INIT(mx, 53);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_d(mx, t->x, MPFR_RNDN);
k = mpfr_frexp(&e, mx, mx, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_d(mx, MPFR_RNDN);
t->i = e;
t->e = eflags(isnan(t->x));
return 0;
}
int mpfrexpf(struct t *t)
{
mpfr_exp_t e;
int k;
MPFR_DECL_INIT(mx, 24);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_flt(mx, t->x, MPFR_RNDN);
k = mpfr_frexp(&e, mx, mx, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_flt(mx, MPFR_RNDN);
t->i = e;
t->e = eflags(isnan(t->x));
return 0;
}
int mpfrexpl(struct t *t)
{
mpfr_exp_t e;
int k;
MPFR_DECL_INIT(mx, 64);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_ld(mx, t->x, MPFR_RNDN);
k = mpfr_frexp(&e, mx, mx, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_ld(mx, MPFR_RNDN);
t->i = e;
t->e = eflags(isnan(t->x));
return 0;
}
int mpldexp(struct t *t)
{
int k;
MPFR_DECL_INIT(mx, 53);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_d(mx, t->x, MPFR_RNDN);
k = mpfr_mul_2si(mx, mx, t->i, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_d(mx, MPFR_RNDN);
t->e = eflags(isnan(t->x));
return 0;
}
int mpldexpf(struct t *t)
{
int k;
MPFR_DECL_INIT(mx, 24);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_flt(mx, t->x, MPFR_RNDN);
k = mpfr_mul_2si(mx, mx, t->i, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_flt(mx, MPFR_RNDN);
t->e = eflags(isnan(t->x));
return 0;
}
int mpldexpl(struct t *t)
{
int k;
MPFR_DECL_INIT(mx, 64);
t->dy = 0;
t->y = 0;
mpsetup();
mpfr_clear_flags();
mpfr_set_ld(mx, t->x, MPFR_RNDN);
k = mpfr_mul_2si(mx, mx, t->i, t->r);
mpfr_subnormalize(mx, k, t->r);
t->y = mpfr_get_ld(mx, MPFR_RNDN);
t->e = eflags(isnan(t->x));
return 0;
}
int mpscalbn(struct t *t) { return mpldexp(t); }
int mpscalbnf(struct t *t) { return mpldexpf(t); }
int mpscalbnl(struct t *t) { return mpldexpl(t); }
int mpscalbln(struct t *t) { return mpldexp(t); }
int mpscalblnf(struct t *t) { return mpldexpf(t); }
int mpscalblnl(struct t *t) { return mpldexpl(t); }
int mplgamma_r(struct t *t) { return mplgamma(t); }
int mplgammaf_r(struct t *t) { return mplgammaf(t); }
int mplgammal_r(struct t *t) { return mplgammal(t); }
int mpilogb(struct t *t)
{
MPFR_DECL_INIT(mx, 53);
mpfr_set_d(mx, t->x, MPFR_RNDN);
t->i = mpfr_get_exp(mx) - 1;
t->e = 0;
if (isinf(t->x) || isnan(t->x) || t->x == 0)
t->e = INVALID;
return 0;
}
int mpilogbf(struct t *t)
{
MPFR_DECL_INIT(mx, 24);
mpfr_set_flt(mx, t->x, MPFR_RNDN);
t->i = mpfr_get_exp(mx) - 1;
t->e = 0;
if (isinf(t->x) || isnan(t->x) || t->x == 0)
t->e = INVALID;
return 0;
}
int mpilogbl(struct t *t)
{
MPFR_DECL_INIT(mx, 64);
mpfr_set_ld(mx, t->x, MPFR_RNDN);
t->i = mpfr_get_exp(mx) - 1;
t->e = 0;
if (isinf(t->x) || isnan(t->x) || t->x == 0)
t->e = INVALID;
return 0;
}
// TODO: ll* is hard to do with mpfr
#define mp_f_i(n) \
int mp##n(struct t *t) \
{ \
setupfenv(t->r); \
t->i = n(t->x); \
t->e = getexcept(); \
return 0; \
}
mp_f_i(llrint)
mp_f_i(llrintf)
mp_f_i(llrintl)
mp_f_i(lrint)
mp_f_i(lrintf)
mp_f_i(lrintl)
mp_f_i(llround)
mp_f_i(llroundf)
mp_f_i(llroundl)
mp_f_i(lround)
mp_f_i(lroundf)
mp_f_i(lroundl)
int mpmodf(struct t *t)
{
int e, r;
r = mpd1(t, wrap_trunc);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e & ~INEXACT;
r = mpd1(t, mpfr_frac);
t->e |= e;
return r;
}
int mpmodff(struct t *t)
{
int e, r;
r = mpf1(t, wrap_trunc);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e & ~INEXACT;
r = mpf1(t, mpfr_frac);
t->e |= e;
return r;
}
int mpmodfl(struct t *t)
{
int e, r;
r = mpl1(t, wrap_trunc);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e & ~INEXACT;
r = mpl1(t, mpfr_frac);
t->e |= e;
return r;
}
int mpsincos(struct t *t)
{
int e, r;
r = mpd1(t, mpfr_cos);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e;
r = mpd1(t, mpfr_sin);
t->e |= e;
return r;
}
int mpsincosf(struct t *t)
{
int e, r;
r = mpf1(t, mpfr_cos);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e;
r = mpf1(t, mpfr_sin);
t->e |= e;
return r;
}
int mpsincosl(struct t *t)
{
int e, r;
r = mpl1(t, mpfr_cos);
if (r)
return r;
t->y2 = t->y;
t->dy2 = t->dy;
e = t->e;
r = mpl1(t, mpfr_sin);
t->e |= e;
return r;
}
int mpremquo(struct t *t) { return mpd2(t, wrap_remquo) || (t->i = mpremquo_q, 0); }
int mpremquof(struct t *t) { return mpf2(t, wrap_remquo) || (t->i = mpremquo_q, 0); }
int mpremquol(struct t *t) { return mpl2(t, wrap_remquo) || (t->i = mpremquo_q, 0); }
int mpfma(struct t *t)
{
int tn;
int r = rmap(t->r);
MPFR_DECL_INIT(mx, 53);
MPFR_DECL_INIT(mx2, 53);
MPFR_DECL_INIT(mx3, 53);
MPFR_DECL_INIT(my, 128);
mpsetup();
mpfr_clear_flags();
mpfr_set_d(mx, t->x, MPFR_RNDN);
mpfr_set_d(mx2, t->x2, MPFR_RNDN);
mpfr_set_d(mx3, t->x3, MPFR_RNDN);
tn = mpfr_fma(my, mx, mx2, mx3, r);
gend(t, my, tn, r);
if ((t->e & INEXACT) && nextafter(t->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = mpfr_fma(my, mx, mx2, mx3, r);
mpfr_mul_2si(my, my, 1074, MPFR_RNDN);
t->dy = scalbnl(t->y, 1074) - mpfr_get_ld(my, r);
mpfr_set_emin(-1073);
}
return 0;
}
int mpfmaf(struct t *t)
{
int tn;
int r = rmap(t->r);
MPFR_DECL_INIT(mx, 24);
MPFR_DECL_INIT(mx2, 24);
MPFR_DECL_INIT(mx3, 24);
MPFR_DECL_INIT(my, 128);
mpsetupf();
mpfr_clear_flags();
mpfr_set_flt(mx, t->x, MPFR_RNDN);
mpfr_set_flt(mx2, t->x2, MPFR_RNDN);
mpfr_set_flt(mx3, t->x3, MPFR_RNDN);
tn = mpfr_fma(my, mx, mx2, mx3, r);
genf(t, my, tn, r);
if ((t->e & INEXACT) && nextafterf(t->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = mpfr_fma(my, mx, mx2, mx3, r);
mpfr_mul_2si(my, my, 149, MPFR_RNDN);
t->dy = scalbnl(t->y, 149) - mpfr_get_ld(my, r);
mpfr_set_emin(-148);
}
return 0;
}
int mpfmal(struct t *t)
{
#if LDBL_MANT_DIG == 53
return mpfma(t);
#elif LDBL_MANT_DIG == 64
int tn;
int r = rmap(t->r);
MPFR_DECL_INIT(mx, 64);
MPFR_DECL_INIT(mx2, 64);
MPFR_DECL_INIT(mx3, 64);
MPFR_DECL_INIT(my, 128);
mpsetupl();
mpfr_clear_flags();
mpfr_set_ld(mx, t->x, MPFR_RNDN);
mpfr_set_ld(mx2, t->x2, MPFR_RNDN);
mpfr_set_ld(mx3, t->x3, MPFR_RNDN);
tn = mpfr_fma(my, mx, mx2, mx3, r);
genl(t, my, tn, r);
if ((t->e & INEXACT) && nextafterl(t->y, 0) == 0) {
mpfr_set_emin(-(1<<20));
tn = mpfr_fma(my, mx, mx2, mx3, r);
mpfr_mul_2si(my, my, 16445, MPFR_RNDN);
t->dy = scalbnl(t->y, 16445) - mpfr_get_ld(my, r);
mpfr_set_emin(-16444);
}
return 0;
#else
return -1;
#endif
}
int mpjn(struct t *t) { mpbessel_n = t->i; return mpd1(t, wrap_jn); }
int mpjnf(struct t *t) { mpbessel_n = t->i; return mpf1(t, wrap_jn); }
int mpjnl(struct t *t) { mpbessel_n = t->i; return mpl1(t, wrap_jn); }
int mpyn(struct t *t) { mpbessel_n = t->i; return mpd1(t, wrap_yn); }
int mpynf(struct t *t) { mpbessel_n = t->i; return mpf1(t, wrap_yn); }
int mpynl(struct t *t) { mpbessel_n = t->i; return mpl1(t, wrap_yn); }