/* wrapper fmodl */
long double
__fmodl (long double x, long double y)
{
if (__builtin_expect (isinf (x) || y == 0.0L, 0)
&& _LIB_VERSION != _IEEE_ && !isnan (y) && !isnan (x))
/* fmod(+-Inf,y) or fmod(x,0) */
return __kernel_standard_l (x, y, 227);
return __ieee754_fmodl (x, y);
}
long double
__ieee754_remainderl(long double x, long double p)
{
int64_t hx,hp;
u_int64_t sx,lx,lp;
long double p_half;
double xhi, xlo, phi, plo;
ldbl_unpack (x, &xhi, &xlo);
EXTRACT_WORDS64 (hx, xhi);
EXTRACT_WORDS64 (lx, xlo);
ldbl_unpack (p, &phi, &plo);
EXTRACT_WORDS64 (hp, phi);
EXTRACT_WORDS64 (lp, plo);
sx = hx&0x8000000000000000ULL;
lp ^= hp & 0x8000000000000000ULL;
hp &= 0x7fffffffffffffffLL;
lx ^= sx;
hx &= 0x7fffffffffffffffLL;
if (lp == 0x8000000000000000ULL)
lp = 0;
if (lx == 0x8000000000000000ULL)
lx = 0;
/* purge off exception values */
if(hp==0) return (x*p)/(x*p); /* p = 0 */
if((hx>=0x7ff0000000000000LL)|| /* x not finite */
(hp>0x7ff0000000000000LL)) /* p is NaN */
return (x*p)/(x*p);
if (hp<=0x7fdfffffffffffffLL) x = __ieee754_fmodl(x,p+p); /* now x < 2p */
if (((hx-hp)|(lx-lp))==0) return zero*x;
x = fabsl(x);
p = fabsl(p);
if (hp<0x0020000000000000LL) {
if(x+x>p) {
x-=p;
if(x+x>=p) x -= p;
}
} else {
p_half = 0.5L*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;
}
}
if (sx)
x = -x;
return x;
}
_Float128
__ieee754_remainderl(_Float128 x, _Float128 p)
{
int64_t hx,hp;
uint64_t sx,lx,lp;
_Float128 p_half;
GET_LDOUBLE_WORDS64(hx,lx,x);
GET_LDOUBLE_WORDS64(hp,lp,p);
sx = hx&0x8000000000000000ULL;
hp &= 0x7fffffffffffffffLL;
hx &= 0x7fffffffffffffffLL;
/* purge off exception values */
if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
if((hx>=0x7fff000000000000LL)|| /* x not finite */
((hp>=0x7fff000000000000LL)&& /* p is NaN */
(((hp-0x7fff000000000000LL)|lp)!=0)))
return (x*p)/(x*p);
if (hp<=0x7ffdffffffffffffLL) x = __ieee754_fmodl(x,p+p); /* now x < 2p */
if (((hx-hp)|(lx-lp))==0) return zero*x;
x = fabsl(x);
p = fabsl(p);
if (hp<0x0002000000000000LL) {
if(x+x>p) {
x-=p;
if(x+x>=p) x -= p;
}
} else {
p_half = L(0.5)*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;
}
}
GET_LDOUBLE_MSW64(hx,x);
SET_LDOUBLE_MSW64(x,hx^sx);
return x;
}
long double
__remquol (long double x, long double y, int *quo)
{
int64_t hx,hy;
u_int64_t sx,lx,ly,qs;
int cquo;
GET_LDOUBLE_WORDS64 (hx, lx, x);
GET_LDOUBLE_WORDS64 (hy, ly, y);
sx = hx & 0x8000000000000000ULL;
qs = sx ^ (hy & 0x8000000000000000ULL);
hy &= 0x7fffffffffffffffLL;
hx &= 0x7fffffffffffffffLL;
/* Purge off exception values. */
if ((hy | ly) == 0)
return (x * y) / (x * y); /* y = 0 */
if ((hx >= 0x7fff000000000000LL) /* x not finite */
|| ((hy >= 0x7fff000000000000LL) /* y is NaN */
&& (((hy - 0x7fff000000000000LL) | ly) != 0)))
return (x * y) / (x * y);
if (hy <= 0x7ffbffffffffffffLL)
x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */
if (((hx - hy) | (lx - ly)) == 0)
{
*quo = qs ? -1 : 1;
return zero * x;
}
x = fabsl (x);
y = fabsl (y);
cquo = 0;
if (x >= 4 * y)
{
x -= 4 * y;
cquo += 4;
}
if (x >= 2 * y)
{
x -= 2 * y;
cquo += 2;
}
if (hy < 0x0002000000000000LL)
{
if (x + x > y)
{
x -= y;
++cquo;
if (x + x >= y)
{
x -= y;
++cquo;
}
}
}
else
{
long double y_half = 0.5L * y;
if (x > y_half)
{
x -= y;
++cquo;
if (x >= y_half)
{
x -= y;
++cquo;
}
}
}
*quo = qs ? -cquo : cquo;
if (sx)
x = -x;
return x;
}
long double
__remquol (long double x, long double y, int *quo)
{
int64_t hx,hy;
u_int64_t sx,lx,ly,qs;
int cquo;
double xhi, xlo, yhi, ylo;
ldbl_unpack (x, &xhi, &xlo);
EXTRACT_WORDS64 (hx, xhi);
EXTRACT_WORDS64 (lx, xlo);
ldbl_unpack (y, &yhi, &ylo);
EXTRACT_WORDS64 (hy, yhi);
EXTRACT_WORDS64 (ly, ylo);
sx = hx & 0x8000000000000000ULL;
qs = sx ^ (hy & 0x8000000000000000ULL);
hy &= 0x7fffffffffffffffLL;
hx &= 0x7fffffffffffffffLL;
/* Purge off exception values. */
if (hy == 0)
return (x * y) / (x * y); /* y = 0 */
if ((hx >= 0x7ff0000000000000LL) /* x not finite */
|| (hy > 0x7ff0000000000000LL)) /* y is NaN */
return (x * y) / (x * y);
if (hy <= 0x7fbfffffffffffffLL)
x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */
if (((hx - hy) | (lx - ly)) == 0)
{
*quo = qs ? -1 : 1;
return zero * x;
}
x = fabsl (x);
y = fabsl (y);
cquo = 0;
if (hy <= 0x7fcfffffffffffffLL && x >= 4 * y)
{
x -= 4 * y;
cquo += 4;
}
if (hy <= 0x7fdfffffffffffffLL && x >= 2 * y)
{
x -= 2 * y;
cquo += 2;
}
if (hy < 0x0020000000000000LL)
{
if (x + x > y)
{
x -= y;
++cquo;
if (x + x >= y)
{
x -= y;
++cquo;
}
}
}
else
{
long double y_half = 0.5L * y;
if (x > y_half)
{
x -= y;
++cquo;
if (x >= y_half)
{
x -= y;
++cquo;
}
}
}
*quo = qs ? -cquo : cquo;
/* Ensure correct sign of zero result in round-downward mode. */
if (x == 0.0L)
x = 0.0L;
if (sx)
x = -x;
return x;
}
_Float128
__remquol (_Float128 x, _Float128 y, int *quo)
{
int64_t hx,hy;
u_int64_t sx,lx,ly,qs;
int cquo;
GET_LDOUBLE_WORDS64 (hx, lx, x);
GET_LDOUBLE_WORDS64 (hy, ly, y);
sx = hx & 0x8000000000000000ULL;
qs = sx ^ (hy & 0x8000000000000000ULL);
hy &= 0x7fffffffffffffffLL;
hx &= 0x7fffffffffffffffLL;
/* Purge off exception values. */
if ((hy | ly) == 0)
return (x * y) / (x * y); /* y = 0 */
if ((hx >= 0x7fff000000000000LL) /* x not finite */
|| ((hy >= 0x7fff000000000000LL) /* y is NaN */
&& (((hy - 0x7fff000000000000LL) | ly) != 0)))
return (x * y) / (x * y);
if (hy <= 0x7ffbffffffffffffLL)
x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */
if (((hx - hy) | (lx - ly)) == 0)
{
*quo = qs ? -1 : 1;
return zero * x;
}
x = fabsl (x);
y = fabsl (y);
cquo = 0;
if (hy <= 0x7ffcffffffffffffLL && x >= 4 * y)
{
x -= 4 * y;
cquo += 4;
}
if (hy <= 0x7ffdffffffffffffLL && x >= 2 * y)
{
x -= 2 * y;
cquo += 2;
}
if (hy < 0x0002000000000000LL)
{
if (x + x > y)
{
x -= y;
++cquo;
if (x + x >= y)
{
x -= y;
++cquo;
}
}
}
else
{
_Float128 y_half = L(0.5) * y;
if (x > y_half)
{
x -= y;
++cquo;
if (x >= y_half)
{
x -= y;
++cquo;
}
}
}
*quo = qs ? -cquo : cquo;
/* Ensure correct sign of zero result in round-downward mode. */
if (x == 0)
x = 0;
if (sx)
x = -x;
return x;
}