OLD | NEW |
(Empty) | |
| 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_asinf.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 #include "libm.h" |
| 16 |
| 17 static const double |
| 18 pio2 = 1.570796326794896558e+00; |
| 19 |
| 20 static const float |
| 21 /* coefficients for R(x^2) */ |
| 22 pS0 = 1.6666586697e-01, |
| 23 pS1 = -4.2743422091e-02, |
| 24 pS2 = -8.6563630030e-03, |
| 25 qS1 = -7.0662963390e-01; |
| 26 |
| 27 static float R(float z) |
| 28 { |
| 29 float_t p, q; |
| 30 p = z*(pS0+z*(pS1+z*pS2)); |
| 31 q = 1.0f+z*qS1; |
| 32 return p/q; |
| 33 } |
| 34 |
| 35 float asinf(float x) |
| 36 { |
| 37 double s; |
| 38 float z; |
| 39 uint32_t hx,ix; |
| 40 |
| 41 GET_FLOAT_WORD(hx, x); |
| 42 ix = hx & 0x7fffffff; |
| 43 if (ix >= 0x3f800000) { /* |x| >= 1 */ |
| 44 if (ix == 0x3f800000) /* |x| == 1 */ |
| 45 return x*pio2 + 0x1p-120f; /* asin(+-1) = +-pi/2 with i
nexact */ |
| 46 return 0/(x-x); /* asin(|x|>1) is NaN */ |
| 47 } |
| 48 if (ix < 0x3f000000) { /* |x| < 0.5 */ |
| 49 /* if 0x1p-126 <= |x| < 0x1p-12, avoid raising underflow */ |
| 50 if (ix < 0x39800000 && ix >= 0x00800000) |
| 51 return x; |
| 52 return x + x*R(x*x); |
| 53 } |
| 54 /* 1 > |x| >= 0.5 */ |
| 55 z = (1 - fabsf(x))*0.5f; |
| 56 s = sqrt(z); |
| 57 x = pio2 - 2*(s+s*R(z)); |
| 58 if (hx >> 31) |
| 59 return -x; |
| 60 return x; |
| 61 } |
OLD | NEW |