/* * by Ian Ollmann * Copyright © 2005, Apple Computer Inc. All rights reserved. * * based on MathLib v3 */ #include long double tanhl( long double x ) { static const long double overflow = 1.13565234062941445534588410310297337926799095235775e+04L / 2.0L; //log(0x1.0p16384) long double fabsx = __builtin_fabsl( x ); if( x != x ) return x + x; if( fabsx > 0x1.0p-32 ) //sqrt( negative epsilon ) { if( fabsx < overflow ) { fabsx = expm1l( -2.0L * fabsx ); fabsx = -fabsx / (2.0L + fabsx ); } else fabsx = 1.0L; } else { if( x == 0.0 ) return x; fabsx *= 0x1.0p65; fabsx -= 0x1.0p-16382L; fabsx *= 0x1.0p-65; } if( x < 0 ) fabsx = -fabsx; return fabsx; }