/* @(#)z_tanhf.c 1.0 98/08/13 */ /***************************************************************** * The following routines are coded directly from the algorithms * and coefficients given in "Software Manual for the Elementary * Functions" by William J. Cody, Jr. and William Waite, Prentice * Hall, 1980. *****************************************************************/ /****************************************************************** * Hyperbolic Tangent * * Input: * x - floating point value * * Output: * hyperbolic tangent of x * * Description: * This routine calculates hyperbolic tangent. * *****************************************************************/ #include #include "fdlibm.h" #include "zmath.h" static const float LN3_OVER2 = 0.5493061443; static const float p[] = { -0.2059432032, -0.0009577527 }; static const float q[] = { 0.6178299136, 0.25 }; float _DEFUN (tanhf, (float), float x) { float f, res, g, P, Q, R; f = fabsf (x); /* Check if the input is too big. */ if (f > BIGX) res = 1.0; else if (f > LN3_OVER2) res = 1.0 - 2.0 / (exp (2 * f) + 1.0); /* Check if the input is too small. */ else if (f < z_rooteps_f) res = f; /* Calculate the Taylor series. */ else { g = f * f; P = p[1] * g + p[0]; Q = (g + q[1]) * g + q[0]; R = g * (P / Q); res = f + f * R; } if (x < 0.0) res = -res; return (res); } #ifdef _DOUBLE_IS_32BITS double tanh (double x) { return (double) tanhf ((float) x); } #endif _DOUBLE_IS_32BITS