diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-11-22 14:04:29 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-11-22 14:04:29 +0000 |
commit | 7ce331c01ce6eb7b3f5c715a38a24359da9c6ee2 (patch) | |
tree | 3a7e8476e868ae15f4da1b7ce26b2db6f434468c /libm/float/i1f.c | |
parent | c117dd5fb183afb1a4790a6f6110d88704be6bf8 (diff) |
Totally rework the math library, this time based on the MacOs X
math library (which is itself based on the math lib from FreeBSD).
-Erik
Diffstat (limited to 'libm/float/i1f.c')
-rw-r--r-- | libm/float/i1f.c | 177 |
1 files changed, 0 insertions, 177 deletions
diff --git a/libm/float/i1f.c b/libm/float/i1f.c deleted file mode 100644 index e9741e1da..000000000 --- a/libm/float/i1f.c +++ /dev/null @@ -1,177 +0,0 @@ -/* i1f.c - * - * Modified Bessel function of order one - * - * - * - * SYNOPSIS: - * - * float x, y, i1f(); - * - * y = i1f( x ); - * - * - * - * DESCRIPTION: - * - * Returns modified Bessel function of order one of the - * argument. - * - * The function is defined as i1(x) = -i j1( ix ). - * - * The range is partitioned into the two intervals [0,8] and - * (8, infinity). Chebyshev polynomial expansions are employed - * in each interval. - * - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE 0, 30 100000 1.5e-6 1.6e-7 - * - * - */ -/* i1ef.c - * - * Modified Bessel function of order one, - * exponentially scaled - * - * - * - * SYNOPSIS: - * - * float x, y, i1ef(); - * - * y = i1ef( x ); - * - * - * - * DESCRIPTION: - * - * Returns exponentially scaled modified Bessel function - * of order one of the argument. - * - * The function is defined as i1(x) = -i exp(-|x|) j1( ix ). - * - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * IEEE 0, 30 30000 1.5e-6 1.5e-7 - * See i1(). - * - */ - -/* i1.c 2 */ - - -/* -Cephes Math Library Release 2.0: March, 1987 -Copyright 1985, 1987 by Stephen L. Moshier -Direct inquiries to 30 Frost Street, Cambridge, MA 02140 -*/ - -#include <math.h> - -/* Chebyshev coefficients for exp(-x) I1(x) / x - * in the interval [0,8]. - * - * lim(x->0){ exp(-x) I1(x) / x } = 1/2. - */ - -static float A[] = -{ - 9.38153738649577178388E-9f, --4.44505912879632808065E-8f, - 2.00329475355213526229E-7f, --8.56872026469545474066E-7f, - 3.47025130813767847674E-6f, --1.32731636560394358279E-5f, - 4.78156510755005422638E-5f, --1.61760815825896745588E-4f, - 5.12285956168575772895E-4f, --1.51357245063125314899E-3f, - 4.15642294431288815669E-3f, --1.05640848946261981558E-2f, - 2.47264490306265168283E-2f, --5.29459812080949914269E-2f, - 1.02643658689847095384E-1f, --1.76416518357834055153E-1f, - 2.52587186443633654823E-1f -}; - - -/* Chebyshev coefficients for exp(-x) sqrt(x) I1(x) - * in the inverted interval [8,infinity]. - * - * lim(x->inf){ exp(-x) sqrt(x) I1(x) } = 1/sqrt(2pi). - */ - -static float B[] = -{ --3.83538038596423702205E-9f, --2.63146884688951950684E-8f, --2.51223623787020892529E-7f, --3.88256480887769039346E-6f, --1.10588938762623716291E-4f, --9.76109749136146840777E-3f, - 7.78576235018280120474E-1f -}; - -/* i1.c */ - -#define fabsf(x) ( (x) < 0 ? -(x) : (x) ) - -#ifdef ANSIC -float chbevlf(float, float *, int); -float expf(float), sqrtf(float); -#else -float chbevlf(), expf(), sqrtf(); -#endif - - -float i1f(float xx) -{ -float x, y, z; - -x = xx; -z = fabsf(x); -if( z <= 8.0f ) - { - y = 0.5f*z - 2.0f; - z = chbevlf( y, A, 17 ) * z * expf(z); - } -else - { - z = expf(z) * chbevlf( 32.0f/z - 2.0f, B, 7 ) / sqrtf(z); - } -if( x < 0.0f ) - z = -z; -return( z ); -} - -/* i1e() */ - -float i1ef( float xx ) -{ -float x, y, z; - -x = xx; -z = fabsf(x); -if( z <= 8.0f ) - { - y = 0.5f*z - 2.0f; - z = chbevlf( y, A, 17 ) * z; - } -else - { - z = chbevlf( 32.0f/z - 2.0f, B, 7 ) / sqrtf(z); - } -if( x < 0.0f ) - z = -z; -return( z ); -} |