diff options
Diffstat (limited to 'contrib/SDL-3.2.8/src/libm/e_atan2.c')
| -rw-r--r-- | contrib/SDL-3.2.8/src/libm/e_atan2.c | 135 |
1 files changed, 135 insertions, 0 deletions
diff --git a/contrib/SDL-3.2.8/src/libm/e_atan2.c b/contrib/SDL-3.2.8/src/libm/e_atan2.c new file mode 100644 index 0000000..0f5b2c0 --- /dev/null +++ b/contrib/SDL-3.2.8/src/libm/e_atan2.c | |||
| @@ -0,0 +1,135 @@ | |||
| 1 | #include "SDL_internal.h" | ||
| 2 | /* | ||
| 3 | * ==================================================== | ||
| 4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. | ||
| 5 | * | ||
| 6 | * Developed at SunPro, a Sun Microsystems, Inc. business. | ||
| 7 | * Permission to use, copy, modify, and distribute this | ||
| 8 | * software is freely granted, provided that this notice | ||
| 9 | * is preserved. | ||
| 10 | * ==================================================== | ||
| 11 | */ | ||
| 12 | |||
| 13 | /* __ieee754_atan2(y,x) | ||
| 14 | * Method : | ||
| 15 | * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x). | ||
| 16 | * 2. Reduce x to positive by (if x and y are unexceptional): | ||
| 17 | * ARG (x+iy) = arctan(y/x) ... if x > 0, | ||
| 18 | * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0, | ||
| 19 | * | ||
| 20 | * Special cases: | ||
| 21 | * | ||
| 22 | * ATAN2((anything), NaN ) is NaN; | ||
| 23 | * ATAN2(NAN , (anything) ) is NaN; | ||
| 24 | * ATAN2(+-0, +(anything but NaN)) is +-0 ; | ||
| 25 | * ATAN2(+-0, -(anything but NaN)) is +-pi ; | ||
| 26 | * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2; | ||
| 27 | * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ; | ||
| 28 | * ATAN2(+-(anything but INF and NaN), -INF) is +-pi; | ||
| 29 | * ATAN2(+-INF,+INF ) is +-pi/4 ; | ||
| 30 | * ATAN2(+-INF,-INF ) is +-3pi/4; | ||
| 31 | * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2; | ||
| 32 | * | ||
| 33 | * Constants: | ||
| 34 | * The hexadecimal values are the intended ones for the following | ||
| 35 | * constants. The decimal values may be used, provided that the | ||
| 36 | * compiler will convert from decimal to binary accurately enough | ||
| 37 | * to produce the hexadecimal values shown. | ||
| 38 | */ | ||
| 39 | |||
| 40 | #include "math_libm.h" | ||
| 41 | #include "math_private.h" | ||
| 42 | |||
| 43 | static const double | ||
| 44 | tiny = 1.0e-300, | ||
| 45 | zero = 0.0, | ||
| 46 | pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */ | ||
| 47 | pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */ | ||
| 48 | pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */ | ||
| 49 | pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */ | ||
| 50 | |||
| 51 | double attribute_hidden __ieee754_atan2(double y, double x) | ||
| 52 | { | ||
| 53 | double z; | ||
| 54 | int32_t k,m,hx,hy,ix,iy; | ||
| 55 | u_int32_t lx,ly; | ||
| 56 | |||
| 57 | EXTRACT_WORDS(hx,lx,x); | ||
| 58 | ix = hx&0x7fffffff; | ||
| 59 | EXTRACT_WORDS(hy,ly,y); | ||
| 60 | iy = hy&0x7fffffff; | ||
| 61 | if(((ix|((lx|-(int32_t)lx)>>31))>0x7ff00000)|| | ||
| 62 | ((iy|((ly|-(int32_t)ly)>>31))>0x7ff00000)) /* x or y is NaN */ | ||
| 63 | return x+y; | ||
| 64 | if(((hx-0x3ff00000)|lx)==0) return atan(y); /* x=1.0 */ | ||
| 65 | m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */ | ||
| 66 | |||
| 67 | /* when y = 0 */ | ||
| 68 | if((iy|ly)==0) { | ||
| 69 | switch(m) { | ||
| 70 | case 0: | ||
| 71 | case 1: return y; /* atan(+-0,+anything)=+-0 */ | ||
| 72 | case 2: return pi+tiny;/* atan(+0,-anything) = pi */ | ||
| 73 | case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */ | ||
| 74 | } | ||
| 75 | } | ||
| 76 | /* when x = 0 */ | ||
| 77 | if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; | ||
| 78 | |||
| 79 | /* when x is INF */ | ||
| 80 | if(ix==0x7ff00000) { | ||
| 81 | if(iy==0x7ff00000) { | ||
| 82 | switch(m) { | ||
| 83 | case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */ | ||
| 84 | case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */ | ||
| 85 | case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/ | ||
| 86 | case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/ | ||
| 87 | } | ||
| 88 | } else { | ||
| 89 | switch(m) { | ||
| 90 | case 0: return zero ; /* atan(+...,+INF) */ | ||
| 91 | case 1: return -zero ; /* atan(-...,+INF) */ | ||
| 92 | case 2: return pi+tiny ; /* atan(+...,-INF) */ | ||
| 93 | case 3: return -pi-tiny ; /* atan(-...,-INF) */ | ||
| 94 | } | ||
| 95 | } | ||
| 96 | } | ||
| 97 | /* when y is INF */ | ||
| 98 | if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny; | ||
| 99 | |||
| 100 | /* compute y/x */ | ||
| 101 | k = (iy-ix)>>20; | ||
| 102 | if(k > 60) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**60 */ | ||
| 103 | else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */ | ||
| 104 | else z=atan(fabs(y/x)); /* safe to do y/x */ | ||
| 105 | switch (m) { | ||
| 106 | case 0: return z ; /* atan(+,+) */ | ||
| 107 | case 1: { | ||
| 108 | u_int32_t zh; | ||
| 109 | GET_HIGH_WORD(zh,z); | ||
| 110 | SET_HIGH_WORD(z,zh ^ 0x80000000); | ||
| 111 | } | ||
| 112 | return z ; /* atan(-,+) */ | ||
| 113 | case 2: return pi-(z-pi_lo);/* atan(+,-) */ | ||
| 114 | default: /* case 3 */ | ||
| 115 | return (z-pi_lo)-pi;/* atan(-,-) */ | ||
| 116 | } | ||
| 117 | } | ||
| 118 | |||
| 119 | /* | ||
| 120 | * wrapper atan2(y,x) | ||
| 121 | */ | ||
| 122 | #ifndef _IEEE_LIBM | ||
| 123 | double atan2(double y, double x) | ||
| 124 | { | ||
| 125 | double z = __ieee754_atan2(y, x); | ||
| 126 | if (_LIB_VERSION == _IEEE_ || isnan(x) || isnan(y)) | ||
| 127 | return z; | ||
| 128 | if (x == 0.0 && y == 0.0) | ||
| 129 | return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */ | ||
| 130 | return z; | ||
| 131 | } | ||
| 132 | #else | ||
| 133 | strong_alias(__ieee754_atan2, atan2) | ||
| 134 | #endif | ||
| 135 | libm_hidden_def(atan2) | ||
