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-rw-r--r--src/math/atan2f.c93
1 files changed, 93 insertions, 0 deletions
diff --git a/src/math/atan2f.c b/src/math/atan2f.c
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+/* origin: FreeBSD /usr/src/lib/msun/src/e_atan2f.c */
+/*
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include "libm.h"
+
+static volatile float
+tiny = 1.0e-30;
+static const float
+zero = 0.0,
+pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
+pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
+pi = 3.1415927410e+00; /* 0x40490fdb */
+static volatile float
+pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
+
+float atan2f(float y, float x)
+{
+ float z;
+ int32_t k,m,hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx, x);
+ ix = hx & 0x7fffffff;
+ GET_FLOAT_WORD(hy, y);
+ iy = hy & 0x7fffffff;
+ if (ix > 0x7f800000 || iy > 0x7f800000) /* x or y is NaN */
+ return x+y;
+ if (hx == 0x3f800000) /* x=1.0 */
+ return atanf(y);
+ m = ((hy>>31)&1) | ((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if (iy == 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 */
+ }
+ }
+ /* when x = 0 */
+ if (ix == 0)
+ return hy < 0 ? -pi_o_2-tiny : pi_o_2+tiny;
+ /* when x is INF */
+ if (ix == 0x7f800000) {
+ if (iy == 0x7f800000) {
+ switch (m) {
+ case 0: return pi_o_4+tiny; /* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny; /* atan(-INF,+INF) */
+ case 2: return (float)3.0*pi_o_4+tiny; /*atan(+INF,-INF)*/
+ case 3: return (float)-3.0*pi_o_4-tiny; /*atan(-INF,-INF)*/
+ }
+ } else {
+ switch (m) {
+ case 0: return zero; /* atan(+...,+INF) */
+ case 1: return -zero; /* atan(-...,+INF) */
+ case 2: return pi+tiny; /* atan(+...,-INF) */
+ case 3: return -pi-tiny; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if (iy == 0x7f800000)
+ return hy < 0 ? -pi_o_2-tiny : pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>23;
+ if (k > 26) { /* |y/x| > 2**26 */
+ z = pi_o_2+(float)0.5*pi_lo;
+ m &= 1;
+ } else if (k < -26 && hx < 0) /* 0 > |y|/x > -2**-26 */
+ z = 0.0;
+ else /* safe to do y/x */
+ z = atanf(fabsf(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(-,-) */
+ }
+}