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-rw-r--r--libm/float/ellpef.c105
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diff --git a/libm/float/ellpef.c b/libm/float/ellpef.c
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-/* ellpef.c
- *
- * Complete elliptic integral of the second kind
- *
- *
- *
- * SYNOPSIS:
- *
- * float m1, y, ellpef();
- *
- * y = ellpef( m1 );
- *
- *
- *
- * DESCRIPTION:
- *
- * Approximates the integral
- *
- *
- * pi/2
- * -
- * | | 2
- * E(m) = | sqrt( 1 - m sin t ) dt
- * | |
- * -
- * 0
- *
- * Where m = 1 - m1, using the approximation
- *
- * P(x) - x log x Q(x).
- *
- * Though there are no singularities, the argument m1 is used
- * rather than m for compatibility with ellpk().
- *
- * E(1) = 1; E(0) = pi/2.
- *
- *
- * ACCURACY:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 0, 1 30000 1.1e-7 3.9e-8
- *
- *
- * ERROR MESSAGES:
- *
- * message condition value returned
- * ellpef domain x<0, x>1 0.0
- *
- */
-
-/* ellpe.c */
-
-/* Elliptic integral of second kind */
-
-/*
-Cephes Math Library, Release 2.1: February, 1989
-Copyright 1984, 1987, 1989 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-#include <math.h>
-
-
-static float P[] = {
- 1.53552577301013293365E-4,
- 2.50888492163602060990E-3,
- 8.68786816565889628429E-3,
- 1.07350949056076193403E-2,
- 7.77395492516787092951E-3,
- 7.58395289413514708519E-3,
- 1.15688436810574127319E-2,
- 2.18317996015557253103E-2,
- 5.68051945617860553470E-2,
- 4.43147180560990850618E-1,
- 1.00000000000000000299E0
-};
-static float Q[] = {
- 3.27954898576485872656E-5,
- 1.00962792679356715133E-3,
- 6.50609489976927491433E-3,
- 1.68862163993311317300E-2,
- 2.61769742454493659583E-2,
- 3.34833904888224918614E-2,
- 4.27180926518931511717E-2,
- 5.85936634471101055642E-2,
- 9.37499997197644278445E-2,
- 2.49999999999888314361E-1
-};
-
-float polevlf(float, float *, int), logf(float);
-float ellpef( float xx)
-{
-float x;
-
-x = xx;
-if( (x <= 0.0) || (x > 1.0) )
- {
- if( x == 0.0 )
- return( 1.0 );
- mtherr( "ellpef", DOMAIN );
- return( 0.0 );
- }
-return( polevlf(x,P,10) - logf(x) * (x * polevlf(x,Q,9)) );
-}