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/tanf.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/float/tanf.c')
-rw-r--r-- | libm/float/tanf.c | 192 |
1 files changed, 192 insertions, 0 deletions
diff --git a/libm/float/tanf.c b/libm/float/tanf.c new file mode 100644 index 000000000..5bbf43075 --- /dev/null +++ b/libm/float/tanf.c @@ -0,0 +1,192 @@ +/* tanf.c + * + * Circular tangent + * + * + * + * SYNOPSIS: + * + * float x, y, tanf(); + * + * y = tanf( x ); + * + * + * + * DESCRIPTION: + * + * Returns the circular tangent of the radian argument x. + * + * Range reduction is modulo pi/4. A polynomial approximation + * is employed in the basic interval [0, pi/4]. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE +-4096 100000 3.3e-7 4.5e-8 + * + * ERROR MESSAGES: + * + * message condition value returned + * tanf total loss x > 2^24 0.0 + * + */ +/* cotf.c + * + * Circular cotangent + * + * + * + * SYNOPSIS: + * + * float x, y, cotf(); + * + * y = cotf( x ); + * + * + * + * DESCRIPTION: + * + * Returns the circular cotangent of the radian argument x. + * A common routine computes either the tangent or cotangent. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE +-4096 100000 3.0e-7 4.5e-8 + * + * + * ERROR MESSAGES: + * + * message condition value returned + * cot total loss x > 2^24 0.0 + * cot singularity x = 0 MAXNUMF + * + */ + +/* +Cephes Math Library Release 2.2: June, 1992 +Copyright 1984, 1987, 1989 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + +/* Single precision circular tangent + * test interval: [-pi/4, +pi/4] + * trials: 10000 + * peak relative error: 8.7e-8 + * rms relative error: 2.8e-8 + */ +#include <math.h> + +extern float MAXNUMF; + +static float DP1 = 0.78515625; +static float DP2 = 2.4187564849853515625e-4; +static float DP3 = 3.77489497744594108e-8; +float FOPI = 1.27323954473516; /* 4/pi */ +static float lossth = 8192.; +/*static float T24M1 = 16777215.;*/ + + +static float tancotf( float xx, int cotflg ) +{ +float x, y, z, zz; +long j; +int sign; + + +/* make argument positive but save the sign */ +if( xx < 0.0 ) + { + x = -xx; + sign = -1; + } +else + { + x = xx; + sign = 1; + } + +if( x > lossth ) + { + if( cotflg ) + mtherr( "cotf", TLOSS ); + else + mtherr( "tanf", TLOSS ); + return(0.0); + } + +/* compute x mod PIO4 */ +j = FOPI * x; /* integer part of x/(PI/4) */ +y = j; + +/* map zeros and singularities to origin */ +if( j & 1 ) + { + j += 1; + y += 1.0; + } + +z = ((x - y * DP1) - y * DP2) - y * DP3; + +zz = z * z; + +if( x > 1.0e-4 ) + { +/* 1.7e-8 relative error in [-pi/4, +pi/4] */ + y = + ((((( 9.38540185543E-3 * zz + + 3.11992232697E-3) * zz + + 2.44301354525E-2) * zz + + 5.34112807005E-2) * zz + + 1.33387994085E-1) * zz + + 3.33331568548E-1) * zz * z + + z; + } +else + { + y = z; + } + +if( j & 2 ) + { + if( cotflg ) + y = -y; + else + y = -1.0/y; + } +else + { + if( cotflg ) + y = 1.0/y; + } + +if( sign < 0 ) + y = -y; + +return( y ); +} + + +float tanf( float x ) +{ + +return( tancotf(x,0) ); +} + +float cotf( float x ) +{ + +if( x == 0.0 ) + { + mtherr( "cotf", SING ); + return( MAXNUMF ); + } +return( tancotf(x,1) ); +} + |