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(-,-) */ |
+ } |
+} |