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/atanf.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/float/atanf.c')
-rw-r--r-- | libm/float/atanf.c | 190 |
1 files changed, 190 insertions, 0 deletions
diff --git a/libm/float/atanf.c b/libm/float/atanf.c new file mode 100644 index 000000000..321e3be39 --- /dev/null +++ b/libm/float/atanf.c @@ -0,0 +1,190 @@ +/* atanf.c + * + * Inverse circular tangent + * (arctangent) + * + * + * + * SYNOPSIS: + * + * float x, y, atanf(); + * + * y = atanf( x ); + * + * + * + * DESCRIPTION: + * + * Returns radian angle between -pi/2 and +pi/2 whose tangent + * is x. + * + * Range reduction is from four intervals into the interval + * from zero to tan( pi/8 ). A polynomial approximates + * the function in this basic interval. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -10, 10 100000 1.9e-7 4.1e-8 + * + */ +/* atan2f() + * + * Quadrant correct inverse circular tangent + * + * + * + * SYNOPSIS: + * + * float x, y, z, atan2f(); + * + * z = atan2f( y, x ); + * + * + * + * DESCRIPTION: + * + * Returns radian angle whose tangent is y/x. + * Define compile time symbol ANSIC = 1 for ANSI standard, + * range -PI < z <= +PI, args (y,x); else ANSIC = 0 for range + * 0 to 2PI, args (x,y). + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -10, 10 100000 1.9e-7 4.1e-8 + * See atan.c. + * + */ + +/* atan.c */ + + +/* +Cephes Math Library Release 2.2: June, 1992 +Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + +/* Single precision circular arcsine + * test interval: [-tan(pi/8), +tan(pi/8)] + * trials: 10000 + * peak relative error: 7.7e-8 + * rms relative error: 2.9e-8 + */ +#include <math.h> +extern float PIF, PIO2F, PIO4F; + +float atanf( float xx ) +{ +float x, y, z; +int sign; + +x = xx; + +/* make argument positive and save the sign */ +if( xx < 0.0 ) + { + sign = -1; + x = -xx; + } +else + { + sign = 1; + x = xx; + } +/* range reduction */ +if( x > 2.414213562373095 ) /* tan 3pi/8 */ + { + y = PIO2F; + x = -( 1.0/x ); + } + +else if( x > 0.4142135623730950 ) /* tan pi/8 */ + { + y = PIO4F; + x = (x-1.0)/(x+1.0); + } +else + y = 0.0; + +z = x * x; +y += +((( 8.05374449538e-2 * z + - 1.38776856032E-1) * z + + 1.99777106478E-1) * z + - 3.33329491539E-1) * z * x + + x; + +if( sign < 0 ) + y = -y; + +return( y ); +} + + + + +float atan2f( float y, float x ) +{ +float z, w; +int code; + + +code = 0; + +if( x < 0.0 ) + code = 2; +if( y < 0.0 ) + code |= 1; + +if( x == 0.0 ) + { + if( code & 1 ) + { +#if ANSIC + return( -PIO2F ); +#else + return( 3.0*PIO2F ); +#endif + } + if( y == 0.0 ) + return( 0.0 ); + return( PIO2F ); + } + +if( y == 0.0 ) + { + if( code & 2 ) + return( PIF ); + return( 0.0 ); + } + + +switch( code ) + { + default: +#if ANSIC + case 0: + case 1: w = 0.0; break; + case 2: w = PIF; break; + case 3: w = -PIF; break; +#else + case 0: w = 0.0; break; + case 1: w = 2.0 * PIF; break; + case 2: + case 3: w = PIF; break; +#endif + } + +z = atanf( y/x ); + +return( w + z ); +} + |