}
#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
#include "__invtrigl.h"
-static const volatile long double
-tiny = 1.0e-300;
-static const long double
-pi = 3.14159265358979323846264338327950280e+00L;
long double atan2l(long double y, long double x)
{
ux.e = x;
expsignx = ux.xbits.expsign;
exptx = expsignx & 0x7fff;
- if ((exptx==BIAS+LDBL_MAX_EXP &&
+ if ((exptx==0x7fff &&
((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)!=0) || /* x is NaN */
- (expty==BIAS+LDBL_MAX_EXP &&
+ (expty==0x7fff &&
((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)!=0)) /* y is NaN */
return x+y;
- if (expsignx==BIAS && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0) /* x=1.0 */
+ if (expsignx==0x3fff && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0) /* x=1.0 */
return atanl(y);
m = ((expsigny>>15)&1) | ((expsignx>>14)&2); /* 2*sign(x)+sign(y) */
if (expty==0 && ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)==0) {
switch(m) {
case 0:
- case 1: return y; /* atan(+-0,+anything)=+-0 */
- case 2: return pi+tiny; /* atan(+0,-anything) = pi */
- case 3: return -pi-tiny; /* atan(-0,-anything) =-pi */
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return 2*pio2_hi+0x1p-1000; /* atan(+0,-anything) = pi */
+ case 3: return -2*pio2_hi-0x1p-1000; /* atan(-0,-anything) =-pi */
}
}
/* when x = 0 */
if (exptx==0 && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0)
- return expsigny < 0 ? -pio2_hi-tiny : pio2_hi+tiny;
+ return expsigny < 0 ? -pio2_hi-0x1p-1000 : pio2_hi+0x1p-1000;
/* when x is INF */
- if (exptx == BIAS+LDBL_MAX_EXP) {
- if (expty == BIAS+LDBL_MAX_EXP) {
+ if (exptx == 0x7fff) {
+ if (expty == 0x7fff) {
switch(m) {
- case 0: return pio2_hi*0.5+tiny; /* atan(+INF,+INF) */
- case 1: return -pio2_hi*0.5-tiny; /* atan(-INF,+INF) */
- case 2: return 1.5*pio2_hi+tiny; /*atan(+INF,-INF)*/
- case 3: return -1.5*pio2_hi-tiny; /*atan(-INF,-INF)*/
+ case 0: return pio2_hi*0.5+0x1p-1000; /* atan(+INF,+INF) */
+ case 1: return -pio2_hi*0.5-0x1p-1000; /* atan(-INF,+INF) */
+ case 2: return 1.5*pio2_hi+0x1p-1000; /* atan(+INF,-INF) */
+ case 3: return -1.5*pio2_hi-0x1p-1000; /* atan(-INF,-INF) */
}
} else {
switch(m) {
- case 0: return 0.0; /* atan(+...,+INF) */
- case 1: return -0.0; /* atan(-...,+INF) */
- case 2: return pi+tiny; /* atan(+...,-INF) */
- case 3: return -pi-tiny; /* atan(-...,-INF) */
+ case 0: return 0.0; /* atan(+...,+INF) */
+ case 1: return -0.0; /* atan(-...,+INF) */
+ case 2: return 2*pio2_hi+0x1p-1000; /* atan(+...,-INF) */
+ case 3: return -2*pio2_hi-0x1p-1000; /* atan(-...,-INF) */
}
}
}
/* when y is INF */
- if (expty == BIAS+LDBL_MAX_EXP)
- return expsigny < 0 ? -pio2_hi-tiny : pio2_hi+tiny;
+ if (expty == 0x7fff)
+ return expsigny < 0 ? -pio2_hi-0x1p-1000 : pio2_hi+0x1p-1000;
/* compute y/x */
k = expty-exptx;
if(k > LDBL_MANT_DIG+2) { /* |y/x| huge */
- z = pio2_hi+pio2_lo;
+ z = pio2_hi+0x1p-1000;
m &= 1;
} else if (expsignx < 0 && k < -LDBL_MANT_DIG-2) /* |y/x| tiny, x<0 */
z = 0.0;
else /* safe to do y/x */
z = atanl(fabsl(y/x));
switch (m) {
- case 0: return z; /* atan(+,+) */
- case 1: return -z; /* atan(-,+) */
- case 2: return pi - (z-pi_lo); /* atan(+,-) */
+ case 0: return z; /* atan(+,+) */
+ case 1: return -z; /* atan(-,+) */
+ case 2: return 2*pio2_hi-(z-2*pio2_lo); /* atan(+,-) */
default: /* case 3 */
- return (z-pi_lo) - pi; /* atan(-,-) */
+ return (z-2*pio2_lo)-2*pio2_hi; /* atan(-,-) */
}
}
#endif