1 /* e_atan2f.c -- float version of e_atan2.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3 */
4
5 /*
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
8 *
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
12 * is preserved.
13 * ====================================================
14 */
15
16 #include <sys/cdefs.h>
17 __FBSDID("$FreeBSD$");
18
19 #include "math.h"
20 #include "math_private.h"
21
22 static volatile float
23 tiny = 1.0e-30;
24 static const float
25 zero = 0.0,
26 pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
27 pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
28 pi = 3.1415927410e+00; /* 0x40490fdb */
29 static volatile float
30 pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
31
32 float
__ieee754_atan2f(float y,float x)33 __ieee754_atan2f(float y, float x)
34 {
35 float z;
36 int32_t k,m,hx,hy,ix,iy;
37
38 GET_FLOAT_WORD(hx,x);
39 ix = hx&0x7fffffff;
40 GET_FLOAT_WORD(hy,y);
41 iy = hy&0x7fffffff;
42 if((ix>0x7f800000)||
43 (iy>0x7f800000)) /* x or y is NaN */
44 return x+y;
45 if(hx==0x3f800000) return atanf(y); /* x=1.0 */
46 m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
47
48 /* when y = 0 */
49 if(iy==0) {
50 switch(m) {
51 case 0:
52 case 1: return y; /* atan(+-0,+anything)=+-0 */
53 case 2: return pi+tiny;/* atan(+0,-anything) = pi */
54 case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
55 }
56 }
57 /* when x = 0 */
58 if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
59
60 /* when x is INF */
61 if(ix==0x7f800000) {
62 if(iy==0x7f800000) {
63 switch(m) {
64 case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
65 case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
66 case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
67 case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
68 }
69 } else {
70 switch(m) {
71 case 0: return zero ; /* atan(+...,+INF) */
72 case 1: return -zero ; /* atan(-...,+INF) */
73 case 2: return pi+tiny ; /* atan(+...,-INF) */
74 case 3: return -pi-tiny ; /* atan(-...,-INF) */
75 }
76 }
77 }
78 /* when y is INF */
79 if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
80
81 /* compute y/x */
82 k = (iy-ix)>>23;
83 if(k > 26) { /* |y/x| > 2**26 */
84 z=pi_o_2+(float)0.5*pi_lo;
85 m&=1;
86 }
87 else if(k<-26&&hx<0) z=0.0; /* 0 > |y|/x > -2**-26 */
88 else z=atanf(fabsf(y/x)); /* safe to do y/x */
89 switch (m) {
90 case 0: return z ; /* atan(+,+) */
91 case 1: return -z ; /* atan(-,+) */
92 case 2: return pi-(z-pi_lo);/* atan(+,-) */
93 default: /* case 3 */
94 return (z-pi_lo)-pi;/* atan(-,-) */
95 }
96 }
97