e_acosf.c (2558B)
1 /* e_acosf.c -- float version of e_acos.c. 2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 */ 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 #ifndef lint 17 static char rcsid[] = "$FreeBSD: src/lib/msun/src/e_acosf.c,v 1.7 2002/05/28 17:03:12 alfred Exp $"; 18 #endif 19 20 #include "math.h" 21 #include "math_private.h" 22 23 static const float 24 one = 1.0000000000e+00, /* 0x3F800000 */ 25 pi = 3.1415925026e+00, /* 0x40490fda */ 26 pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */ 27 pio2_lo = 7.5497894159e-08, /* 0x33a22168 */ 28 pS0 = 1.6666667163e-01, /* 0x3e2aaaab */ 29 pS1 = -3.2556581497e-01, /* 0xbea6b090 */ 30 pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */ 31 pS3 = -4.0055535734e-02, /* 0xbd241146 */ 32 pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */ 33 pS5 = 3.4793309169e-05, /* 0x3811ef08 */ 34 qS1 = -2.4033949375e+00, /* 0xc019d139 */ 35 qS2 = 2.0209457874e+00, /* 0x4001572d */ 36 qS3 = -6.8828397989e-01, /* 0xbf303361 */ 37 qS4 = 7.7038154006e-02; /* 0x3d9dc62e */ 38 39 float 40 __ieee754_acosf(float x) 41 { 42 float z,p,q,r,w,s,c,df; 43 int32_t hx,ix; 44 GET_FLOAT_WORD(hx,x); 45 ix = hx&0x7fffffff; 46 if(ix==0x3f800000) { /* |x|==1 */ 47 if(hx>0) return 0.0; /* acos(1) = 0 */ 48 else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */ 49 } else if(ix>0x3f800000) { /* |x| >= 1 */ 50 return (x-x)/(x-x); /* acos(|x|>1) is NaN */ 51 } 52 if(ix<0x3f000000) { /* |x| < 0.5 */ 53 if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/ 54 z = x*x; 55 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); 56 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); 57 r = p/q; 58 return pio2_hi - (x - (pio2_lo-x*r)); 59 } else if (hx<0) { /* x < -0.5 */ 60 z = (one+x)*(float)0.5; 61 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); 62 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); 63 s = __ieee754_sqrtf(z); 64 r = p/q; 65 w = r*s-pio2_lo; 66 return pi - (float)2.0*(s+w); 67 } else { /* x > 0.5 */ 68 int32_t idf; 69 z = (one-x)*(float)0.5; 70 s = __ieee754_sqrtf(z); 71 df = s; 72 GET_FLOAT_WORD(idf,df); 73 SET_FLOAT_WORD(df,idf&0xfffff000); 74 c = (z-df*df)/(s+df); 75 p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); 76 q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); 77 r = p/q; 78 w = r*s+c; 79 return (float)2.0*(df+w); 80 } 81 }