diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/float/atanhf.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/float/atanhf.c')
-rw-r--r-- | libm/float/atanhf.c | 92 |
1 files changed, 92 insertions, 0 deletions
diff --git a/libm/float/atanhf.c b/libm/float/atanhf.c new file mode 100644 index 000000000..dfadad09e --- /dev/null +++ b/libm/float/atanhf.c @@ -0,0 +1,92 @@ +/* atanhf.c + * + * Inverse hyperbolic tangent + * + * + * + * SYNOPSIS: + * + * float x, y, atanhf(); + * + * y = atanhf( x ); + * + * + * + * DESCRIPTION: + * + * Returns inverse hyperbolic tangent of argument in the range + * MINLOGF to MAXLOGF. + * + * If |x| < 0.5, a polynomial approximation is used. + * Otherwise, + * atanh(x) = 0.5 * log( (1+x)/(1-x) ). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -1,1 100000 1.4e-7 3.1e-8 + * + */ + +/* atanh.c */ + + +/* +Cephes Math Library Release 2.2: June, 1992 +Copyright (C) 1987, 1992 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + +/* Single precision inverse hyperbolic tangent + * test interval: [-0.5, +0.5] + * trials: 10000 + * peak relative error: 8.2e-8 + * rms relative error: 3.0e-8 + */ +#include <math.h> +extern float MAXNUMF; + +float logf( float ); + +float atanhf( float xx ) +{ +float x, z; + +x = xx; +if( x < 0 ) + z = -x; +else + z = x; +if( z >= 1.0 ) + { + if( x == 1.0 ) + return( MAXNUMF ); + if( x == -1.0 ) + return( -MAXNUMF ); + mtherr( "atanhl", DOMAIN ); + return( MAXNUMF ); + } + +if( z < 1.0e-4 ) + return(x); + +if( z < 0.5 ) + { + z = x * x; + z = + (((( 1.81740078349E-1 * z + + 8.24370301058E-2) * z + + 1.46691431730E-1) * z + + 1.99782164500E-1) * z + + 3.33337300303E-1) * z * x + + x; + } +else + { + z = 0.5 * logf( (1.0+x)/(1.0-x) ); + } +return( z ); +} |