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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_atan2f.c */ |
| 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 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 "libm.h" |
| 17 |
| 18 static const float |
| 19 pi = 3.1415927410e+00, /* 0x40490fdb */ |
| 20 pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */ |
| 21 |
| 22 float atan2f(float y, float x) |
| 23 { |
| 24 float z; |
| 25 uint32_t m,ix,iy; |
| 26 |
| 27 if (isnan(x) || isnan(y)) |
| 28 return x+y; |
| 29 GET_FLOAT_WORD(ix, x); |
| 30 GET_FLOAT_WORD(iy, y); |
| 31 if (ix == 0x3f800000) /* x=1.0 */ |
| 32 return atanf(y); |
| 33 m = ((iy>>31)&1) | ((ix>>30)&2); /* 2*sign(x)+sign(y) */ |
| 34 ix &= 0x7fffffff; |
| 35 iy &= 0x7fffffff; |
| 36 |
| 37 /* when y = 0 */ |
| 38 if (iy == 0) { |
| 39 switch (m) { |
| 40 case 0: |
| 41 case 1: return y; /* atan(+-0,+anything)=+-0 */ |
| 42 case 2: return pi; /* atan(+0,-anything) = pi */ |
| 43 case 3: return -pi; /* atan(-0,-anything) =-pi */ |
| 44 } |
| 45 } |
| 46 /* when x = 0 */ |
| 47 if (ix == 0) |
| 48 return m&1 ? -pi/2 : pi/2; |
| 49 /* when x is INF */ |
| 50 if (ix == 0x7f800000) { |
| 51 if (iy == 0x7f800000) { |
| 52 switch (m) { |
| 53 case 0: return pi/4; /* atan(+INF,+INF) */ |
| 54 case 1: return -pi/4; /* atan(-INF,+INF) */ |
| 55 case 2: return 3*pi/4; /*atan(+INF,-INF)*/ |
| 56 case 3: return -3*pi/4; /*atan(-INF,-INF)*/ |
| 57 } |
| 58 } else { |
| 59 switch (m) { |
| 60 case 0: return 0.0f; /* atan(+...,+INF) */ |
| 61 case 1: return -0.0f; /* atan(-...,+INF) */ |
| 62 case 2: return pi; /* atan(+...,-INF) */ |
| 63 case 3: return -pi; /* atan(-...,-INF) */ |
| 64 } |
| 65 } |
| 66 } |
| 67 /* |y/x| > 0x1p26 */ |
| 68 if (ix+(26<<23) < iy || iy == 0x7f800000) |
| 69 return m&1 ? -pi/2 : pi/2; |
| 70 |
| 71 /* z = atan(|y/x|) with correct underflow */ |
| 72 if ((m&2) && iy+(26<<23) < ix) /*|y/x| < 0x1p-26, x < 0 */ |
| 73 z = 0.0; |
| 74 else |
| 75 z = atanf(fabsf(y/x)); |
| 76 switch (m) { |
| 77 case 0: return z; /* atan(+,+) */ |
| 78 case 1: return -z; /* atan(-,+) */ |
| 79 case 2: return pi - (z-pi_lo); /* atan(+,-) */ |
| 80 default: /* case 3 */ |
| 81 return (z-pi_lo) - pi; /* atan(-,-) */ |
| 82 } |
| 83 } |
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