| Index: fusl/src/math/atan2.c
|
| diff --git a/fusl/src/math/atan2.c b/fusl/src/math/atan2.c
|
| new file mode 100644
|
| index 0000000000000000000000000000000000000000..5a1903c6240821b70e6993f3769563c5eb1ba18f
|
| --- /dev/null
|
| +++ b/fusl/src/math/atan2.c
|
| @@ -0,0 +1,107 @@
|
| +/* origin: FreeBSD /usr/src/lib/msun/src/e_atan2.c */
|
| +/*
|
| + * ====================================================
|
| + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
| + *
|
| + * Developed at SunSoft, a Sun Microsystems, Inc. business.
|
| + * Permission to use, copy, modify, and distribute this
|
| + * software is freely granted, provided that this notice
|
| + * is preserved.
|
| + * ====================================================
|
| + *
|
| + */
|
| +/* atan2(y,x)
|
| + * Method :
|
| + * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
|
| + * 2. Reduce x to positive by (if x and y are unexceptional):
|
| + * ARG (x+iy) = arctan(y/x) ... if x > 0,
|
| + * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
|
| + *
|
| + * Special cases:
|
| + *
|
| + * ATAN2((anything), NaN ) is NaN;
|
| + * ATAN2(NAN , (anything) ) is NaN;
|
| + * ATAN2(+-0, +(anything but NaN)) is +-0 ;
|
| + * ATAN2(+-0, -(anything but NaN)) is +-pi ;
|
| + * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
|
| + * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
|
| + * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
|
| + * ATAN2(+-INF,+INF ) is +-pi/4 ;
|
| + * ATAN2(+-INF,-INF ) is +-3pi/4;
|
| + * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
|
| + *
|
| + * Constants:
|
| + * The hexadecimal values are the intended ones for the following
|
| + * constants. The decimal values may be used, provided that the
|
| + * compiler will convert from decimal to binary accurately enough
|
| + * to produce the hexadecimal values shown.
|
| + */
|
| +
|
| +#include "libm.h"
|
| +
|
| +static const double
|
| +pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
|
| +pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
|
| +
|
| +double atan2(double y, double x)
|
| +{
|
| + double z;
|
| + uint32_t m,lx,ly,ix,iy;
|
| +
|
| + if (isnan(x) || isnan(y))
|
| + return x+y;
|
| + EXTRACT_WORDS(ix, lx, x);
|
| + EXTRACT_WORDS(iy, ly, y);
|
| + if ((ix-0x3ff00000 | lx) == 0) /* x = 1.0 */
|
| + return atan(y);
|
| + m = ((iy>>31)&1) | ((ix>>30)&2); /* 2*sign(x)+sign(y) */
|
| + ix = ix & 0x7fffffff;
|
| + iy = iy & 0x7fffffff;
|
| +
|
| + /* when y = 0 */
|
| + if ((iy|ly) == 0) {
|
| + switch(m) {
|
| + case 0:
|
| + case 1: return y; /* atan(+-0,+anything)=+-0 */
|
| + case 2: return pi; /* atan(+0,-anything) = pi */
|
| + case 3: return -pi; /* atan(-0,-anything) =-pi */
|
| + }
|
| + }
|
| + /* when x = 0 */
|
| + if ((ix|lx) == 0)
|
| + return m&1 ? -pi/2 : pi/2;
|
| + /* when x is INF */
|
| + if (ix == 0x7ff00000) {
|
| + if (iy == 0x7ff00000) {
|
| + switch(m) {
|
| + case 0: return pi/4; /* atan(+INF,+INF) */
|
| + case 1: return -pi/4; /* atan(-INF,+INF) */
|
| + case 2: return 3*pi/4; /* atan(+INF,-INF) */
|
| + case 3: return -3*pi/4; /* atan(-INF,-INF) */
|
| + }
|
| + } else {
|
| + switch(m) {
|
| + case 0: return 0.0; /* atan(+...,+INF) */
|
| + case 1: return -0.0; /* atan(-...,+INF) */
|
| + case 2: return pi; /* atan(+...,-INF) */
|
| + case 3: return -pi; /* atan(-...,-INF) */
|
| + }
|
| + }
|
| + }
|
| + /* |y/x| > 0x1p64 */
|
| + if (ix+(64<<20) < iy || iy == 0x7ff00000)
|
| + return m&1 ? -pi/2 : pi/2;
|
| +
|
| + /* z = atan(|y/x|) without spurious underflow */
|
| + if ((m&2) && iy+(64<<20) < ix) /* |y/x| < 0x1p-64, x<0 */
|
| + z = 0;
|
| + else
|
| + z = atan(fabs(y/x));
|
| + switch (m) {
|
| + case 0: return z; /* atan(+,+) */
|
| + case 1: return -z; /* atan(-,+) */
|
| + case 2: return pi - (z-pi_lo); /* atan(+,-) */
|
| + default: /* case 3 */
|
| + return (z-pi_lo) - pi; /* atan(-,-) */
|
| + }
|
| +}
|
|
|