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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_acosf.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 pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */ |
| 20 pio2_lo = 7.5497894159e-08, /* 0x33a22168 */ |
| 21 pS0 = 1.6666586697e-01, |
| 22 pS1 = -4.2743422091e-02, |
| 23 pS2 = -8.6563630030e-03, |
| 24 qS1 = -7.0662963390e-01; |
| 25 |
| 26 static float R(float z) |
| 27 { |
| 28 float_t p, q; |
| 29 p = z*(pS0+z*(pS1+z*pS2)); |
| 30 q = 1.0f+z*qS1; |
| 31 return p/q; |
| 32 } |
| 33 |
| 34 float acosf(float x) |
| 35 { |
| 36 float z,w,s,c,df; |
| 37 uint32_t hx,ix; |
| 38 |
| 39 GET_FLOAT_WORD(hx, x); |
| 40 ix = hx & 0x7fffffff; |
| 41 /* |x| >= 1 or nan */ |
| 42 if (ix >= 0x3f800000) { |
| 43 if (ix == 0x3f800000) { |
| 44 if (hx >> 31) |
| 45 return 2*pio2_hi + 0x1p-120f; |
| 46 return 0; |
| 47 } |
| 48 return 0/(x-x); |
| 49 } |
| 50 /* |x| < 0.5 */ |
| 51 if (ix < 0x3f000000) { |
| 52 if (ix <= 0x32800000) /* |x| < 2**-26 */ |
| 53 return pio2_hi + 0x1p-120f; |
| 54 return pio2_hi - (x - (pio2_lo-x*R(x*x))); |
| 55 } |
| 56 /* x < -0.5 */ |
| 57 if (hx >> 31) { |
| 58 z = (1+x)*0.5f; |
| 59 s = sqrtf(z); |
| 60 w = R(z)*s-pio2_lo; |
| 61 return 2*(pio2_hi - (s+w)); |
| 62 } |
| 63 /* x > 0.5 */ |
| 64 z = (1-x)*0.5f; |
| 65 s = sqrtf(z); |
| 66 GET_FLOAT_WORD(hx,s); |
| 67 SET_FLOAT_WORD(df,hx&0xfffff000); |
| 68 c = (z-df*df)/(s+df); |
| 69 w = R(z)*s+c; |
| 70 return 2*(df+w); |
| 71 } |
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