long double __tanl(long double x)
{
long double y[2],z=0.0L;
int64_t n, ix;
/* High word of x. */
GET_LDOUBLE_MSW64(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffffffffffffLL;
if(ix <= 0x3ffe921fb54442d1LL) return __kernel_tanl(x,z,1);
/* tanl(Inf or NaN) is NaN */
else if (ix>=0x7fff000000000000LL) {
if (ix == 0x7fff000000000000LL) {
GET_LDOUBLE_LSW64(n,x);
if (n == 0)
__set_errno (EDOM);
}
return x-x; /* NaN */
}
/* argument reduction needed */
else {
n = __ieee754_rem_pio2l(x,y);
return __kernel_tanl(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
-1 -- n odd */
}
}
_Float128 __sinl(_Float128 x)
{
_Float128 y[2],z=0;
int64_t n, ix;
/* High word of x. */
GET_LDOUBLE_MSW64(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffffffffffffLL;
if(ix <= 0x3ffe921fb54442d1LL)
return __kernel_sinl(x,z,0);
/* sin(Inf or NaN) is NaN */
else if (ix>=0x7fff000000000000LL) {
if (ix == 0x7fff000000000000LL) {
GET_LDOUBLE_LSW64(n,x);
if (n == 0)
__set_errno (EDOM);
}
return x-x;
}
/* argument reduction needed */
else {
n = __ieee754_rem_pio2l(x,y);
switch(n&3) {
case 0: return __kernel_sinl(y[0],y[1],1);
case 1: return __kernel_cosl(y[0],y[1]);
case 2: return -__kernel_sinl(y[0],y[1],1);
default:
return -__kernel_cosl(y[0],y[1]);
}
}
}
long double
__ieee754_hypotl(long double x, long double y)
{
long double a,b,t1,t2,y1,y2,w;
int64_t j,k,ha,hb;
GET_LDOUBLE_MSW64(ha,x);
ha &= 0x7fffffffffffffffLL;
GET_LDOUBLE_MSW64(hb,y);
hb &= 0x7fffffffffffffffLL;
if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
SET_LDOUBLE_MSW64(a,ha); /* a <- |a| */
SET_LDOUBLE_MSW64(b,hb); /* b <- |b| */
if((ha-hb)>0x78000000000000LL) {return a+b;} /* x/y > 2**120 */
k=0;
if(ha > 0x5f3f000000000000LL) { /* a>2**8000 */
if(ha >= 0x7fff000000000000LL) { /* Inf or NaN */
u_int64_t low;
w = a+b; /* for sNaN */
GET_LDOUBLE_LSW64(low,a);
if(((ha&0xffffffffffffLL)|low)==0) w = a;
GET_LDOUBLE_LSW64(low,b);
if(((hb^0x7fff000000000000LL)|low)==0) w = b;
return w;
}
/* scale a and b by 2**-9600 */
ha -= 0x2580000000000000LL;
hb -= 0x2580000000000000LL; k += 9600;
SET_LDOUBLE_MSW64(a,ha);
SET_LDOUBLE_MSW64(b,hb);
}
if(hb < 0x20bf000000000000LL) { /* b < 2**-8000 */
if(hb <= 0x0000ffffffffffffLL) { /* subnormal b or 0 */
u_int64_t low;
GET_LDOUBLE_LSW64(low,b);
if((hb|low)==0) return a;
t1=0;
SET_LDOUBLE_MSW64(t1,0x7ffd000000000000LL); /* t1=2^16382 */
b *= t1;
a *= t1;
k -= 16382;
GET_LDOUBLE_MSW64 (ha, a);
GET_LDOUBLE_MSW64 (hb, b);
if (hb > ha)
{
t1 = a;
a = b;
b = t1;
j = ha;
ha = hb;
hb = j;
}
} else { /* scale a and b by 2^9600 */
ha += 0x2580000000000000LL; /* a *= 2^9600 */
hb += 0x2580000000000000LL; /* b *= 2^9600 */
k -= 9600;
SET_LDOUBLE_MSW64(a,ha);
SET_LDOUBLE_MSW64(b,hb);
}
}
/* medium size a and b */
w = a-b;
if (w>b) {
t1 = 0;
SET_LDOUBLE_MSW64(t1,ha);
t2 = a-t1;
w = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
} else {
a = a+a;
y1 = 0;
SET_LDOUBLE_MSW64(y1,hb);
y2 = b - y1;
t1 = 0;
SET_LDOUBLE_MSW64(t1,ha+0x0001000000000000LL);
t2 = a - t1;
w = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
}
if(k!=0) {
u_int64_t high;
t1 = 1.0L;
GET_LDOUBLE_MSW64(high,t1);
SET_LDOUBLE_MSW64(t1,high+(k<<48));
return t1*w;
} else return w;
}
