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Diffstat (limited to 'libm/float/ellpkf.c')
-rw-r--r-- | libm/float/ellpkf.c | 128 |
1 files changed, 0 insertions, 128 deletions
diff --git a/libm/float/ellpkf.c b/libm/float/ellpkf.c deleted file mode 100644 index 2cc13d90a..000000000 --- a/libm/float/ellpkf.c +++ /dev/null @@ -1,128 +0,0 @@ -/* ellpkf.c - * - * Complete elliptic integral of the first kind - * - * - * - * SYNOPSIS: - * - * float m1, y, ellpkf(); - * - * y = ellpkf( m1 ); - * - * - * - * DESCRIPTION: - * - * Approximates the integral - * - * - * - * pi/2 - * - - * | | - * | dt - * K(m) = | ------------------ - * | 2 - * | | sqrt( 1 - m sin t ) - * - - * 0 - * - * where m = 1 - m1, using the approximation - * - * P(x) - log x Q(x). - * - * The argument m1 is used rather than m so that the logarithmic - * singularity at m = 1 will be shifted to the origin; this - * preserves maximum accuracy. - * - * K(0) = pi/2. - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE 0,1 30000 1.3e-7 3.4e-8 - * - * ERROR MESSAGES: - * - * message condition value returned - * ellpkf domain x<0, x>1 0.0 - * - */ - -/* ellpk.c */ - - -/* -Cephes Math Library, Release 2.0: April, 1987 -Copyright 1984, 1987 by Stephen L. Moshier -Direct inquiries to 30 Frost Street, Cambridge, MA 02140 -*/ - -#include <math.h> - -static float P[] = -{ - 1.37982864606273237150E-4, - 2.28025724005875567385E-3, - 7.97404013220415179367E-3, - 9.85821379021226008714E-3, - 6.87489687449949877925E-3, - 6.18901033637687613229E-3, - 8.79078273952743772254E-3, - 1.49380448916805252718E-2, - 3.08851465246711995998E-2, - 9.65735902811690126535E-2, - 1.38629436111989062502E0 -}; - -static float Q[] = -{ - 2.94078955048598507511E-5, - 9.14184723865917226571E-4, - 5.94058303753167793257E-3, - 1.54850516649762399335E-2, - 2.39089602715924892727E-2, - 3.01204715227604046988E-2, - 3.73774314173823228969E-2, - 4.88280347570998239232E-2, - 7.03124996963957469739E-2, - 1.24999999999870820058E-1, - 4.99999999999999999821E-1 -}; -static float C1 = 1.3862943611198906188E0; /* log(4) */ - -extern float MACHEPF, MAXNUMF; - -float polevlf(float, float *, int); -float p1evlf(float, float *, int); -float logf(float); -float ellpkf(float xx) -{ -float x; - -x = xx; -if( (x < 0.0) || (x > 1.0) ) - { - mtherr( "ellpkf", DOMAIN ); - return( 0.0 ); - } - -if( x > MACHEPF ) - { - return( polevlf(x,P,10) - logf(x) * polevlf(x,Q,10) ); - } -else - { - if( x == 0.0 ) - { - mtherr( "ellpkf", SING ); - return( MAXNUMF ); - } - else - { - return( C1 - 0.5 * logf(x) ); - } - } -} |