52 lines
1.4 KiB
C
52 lines
1.4 KiB
C
/* s_asinhf.c -- float version of s_asinh.c.
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*/
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <float.h>
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#include <math.h>
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#include <math_private.h>
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#include <math-underflow.h>
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#include <libm-alias-float.h>
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static const float
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one = 1.0000000000e+00, /* 0x3F800000 */
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ln2 = 6.9314718246e-01, /* 0x3f317218 */
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huge= 1.0000000000e+30;
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float
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__asinhf(float x)
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{
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float w;
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int32_t hx,ix;
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GET_FLOAT_WORD(hx,x);
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ix = hx&0x7fffffff;
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if(__builtin_expect(ix< 0x38000000, 0)) { /* |x|<2**-14 */
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math_check_force_underflow (x);
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if(huge+x>one) return x; /* return x inexact except 0 */
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}
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if(__builtin_expect(ix>0x47000000, 0)) { /* |x| > 2**14 */
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if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
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w = __ieee754_logf(fabsf(x))+ln2;
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} else {
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float xa = fabsf(x);
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if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
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w = __ieee754_logf(2.0f*xa+one/(sqrtf(xa*xa+one)+xa));
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} else { /* 2.0 > |x| > 2**-14 */
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float t = xa*xa;
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w =__log1pf(xa+t/(one+sqrtf(one+t)));
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}
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}
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return copysignf(w, x);
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}
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libm_alias_float (__asinh, asinh)
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