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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_atan2l.c */ |
| 2 /* |
| 3 * ==================================================== |
| 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 5 * |
| 6 * Developed at SunSoft, 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 /* |
| 14 * See comments in atan2.c. |
| 15 * Converted to long double by David Schultz <das@FreeBSD.ORG>. |
| 16 */ |
| 17 |
| 18 #include "libm.h" |
| 19 |
| 20 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 |
| 21 long double atan2l(long double y, long double x) |
| 22 { |
| 23 return atan2(y, x); |
| 24 } |
| 25 #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 |
| 26 #include "__invtrigl.h" |
| 27 |
| 28 long double atan2l(long double y, long double x) |
| 29 { |
| 30 union ldshape ux, uy; |
| 31 long double z; |
| 32 int m, ex, ey; |
| 33 |
| 34 if (isnan(x) || isnan(y)) |
| 35 return x+y; |
| 36 if (x == 1) |
| 37 return atanl(y); |
| 38 ux.f = x; |
| 39 uy.f = y; |
| 40 ex = ux.i.se & 0x7fff; |
| 41 ey = uy.i.se & 0x7fff; |
| 42 m = 2*(ux.i.se>>15) | uy.i.se>>15; |
| 43 if (y == 0) { |
| 44 switch(m) { |
| 45 case 0: |
| 46 case 1: return y; /* atan(+-0,+anything)=+-0 */ |
| 47 case 2: return 2*pio2_hi; /* atan(+0,-anything) = pi */ |
| 48 case 3: return -2*pio2_hi; /* atan(-0,-anything) =-pi */ |
| 49 } |
| 50 } |
| 51 if (x == 0) |
| 52 return m&1 ? -pio2_hi : pio2_hi; |
| 53 if (ex == 0x7fff) { |
| 54 if (ey == 0x7fff) { |
| 55 switch(m) { |
| 56 case 0: return pio2_hi/2; /* atan(+INF,+INF) */ |
| 57 case 1: return -pio2_hi/2; /* atan(-INF,+INF) */ |
| 58 case 2: return 1.5*pio2_hi; /* atan(+INF,-INF) */ |
| 59 case 3: return -1.5*pio2_hi; /* atan(-INF,-INF) */ |
| 60 } |
| 61 } else { |
| 62 switch(m) { |
| 63 case 0: return 0.0; /* atan(+...,+INF) */ |
| 64 case 1: return -0.0; /* atan(-...,+INF) */ |
| 65 case 2: return 2*pio2_hi; /* atan(+...,-INF) */ |
| 66 case 3: return -2*pio2_hi; /* atan(-...,-INF) */ |
| 67 } |
| 68 } |
| 69 } |
| 70 if (ex+120 < ey || ey == 0x7fff) |
| 71 return m&1 ? -pio2_hi : pio2_hi; |
| 72 /* z = atan(|y/x|) without spurious underflow */ |
| 73 if ((m&2) && ey+120 < ex) /* |y/x| < 0x1p-120, x<0 */ |
| 74 z = 0.0; |
| 75 else |
| 76 z = atanl(fabsl(y/x)); |
| 77 switch (m) { |
| 78 case 0: return z; /* atan(+,+) */ |
| 79 case 1: return -z; /* atan(-,+) */ |
| 80 case 2: return 2*pio2_hi-(z-2*pio2_lo); /* atan(+,-) */ |
| 81 default: /* case 3 */ |
| 82 return (z-2*pio2_lo)-2*pio2_hi; /* atan(-,-) */ |
| 83 } |
| 84 } |
| 85 #endif |
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