/* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ /* Tanh(x) * Return the Hyperbolic Tangent of x * * Method : * x -x * e - e * 0. tanh(x) is defined to be ----------- * x -x * e + e * 1. reduce x to non-negative by tanh(-x) = -tanh(x). * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x) * -t * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x) * t + 2 * 2 * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x) * t + 2 * 22.0 < x <= INF : tanh(x) := 1. * * Special cases: * tanh(NaN) is NaN; * only tanh(0)=0 is exact for finite argument. */ #include "math.h" #include "math_private.h" static const double one=1.0, two=2.0, tiny = 1.0e-300; double tanh(double x) { double t,z; int32_t jx,ix; /* High word of |x|. */ GET_HIGH_WORD(jx,x); ix = jx&0x7fffffff; /* x is INF or NaN */ if(ix>=0x7ff00000) { if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ else return one/x-one; /* tanh(NaN) = NaN */ } /* |x| < 22 */ if (ix < 0x40360000) { /* |x|<22 */ if (ix<0x3c800000) /* |x|<2**-55 */ return x*(one+x); /* tanh(small) = small */ if (ix>=0x3ff00000) { /* |x|>=1 */ t = expm1(two*fabs(x)); z = one - two/(t+two); } else { t = expm1(-two*fabs(x)); z= -t/(t+two); } /* |x| > 22, return +-1 */ } else { z = one - tiny; /* raised inexact flag */ } return (jx>=0)? z: -z; } libm_hidden_def(tanh) =266bdc1f623fe6fe489e5115e0f8ef723705d949&id2=38cc9874d3651d10c75c7a7dce9a2a86a10d0300'>diff

path: root/libc/sysdeps/linux/alpha/bits/mathdef.h

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libc/sysdeps/linux/alpha/bits/mathdef.h

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