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-rw-r--r--libm/float/fresnlf.c173
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diff --git a/libm/float/fresnlf.c b/libm/float/fresnlf.c
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--- a/libm/float/fresnlf.c
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-/* fresnlf.c
- *
- * Fresnel integral
- *
- *
- *
- * SYNOPSIS:
- *
- * float x, S, C;
- * void fresnlf();
- *
- * fresnlf( x, _&S, _&C );
- *
- *
- * DESCRIPTION:
- *
- * Evaluates the Fresnel integrals
- *
- * x
- * -
- * | |
- * C(x) = | cos(pi/2 t**2) dt,
- * | |
- * -
- * 0
- *
- * x
- * -
- * | |
- * S(x) = | sin(pi/2 t**2) dt.
- * | |
- * -
- * 0
- *
- *
- * The integrals are evaluated by power series for small x.
- * For x >= 1 auxiliary functions f(x) and g(x) are employed
- * such that
- *
- * C(x) = 0.5 + f(x) sin( pi/2 x**2 ) - g(x) cos( pi/2 x**2 )
- * S(x) = 0.5 - f(x) cos( pi/2 x**2 ) - g(x) sin( pi/2 x**2 )
- *
- *
- *
- * ACCURACY:
- *
- * Relative error.
- *
- * Arithmetic function domain # trials peak rms
- * IEEE S(x) 0, 10 30000 1.1e-6 1.9e-7
- * IEEE C(x) 0, 10 30000 1.1e-6 2.0e-7
- */
-
-/*
-Cephes Math Library Release 2.1: January, 1989
-Copyright 1984, 1987, 1989 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-#include <math.h>
-
-/* S(x) for small x */
-static float sn[7] = {
- 1.647629463788700E-009,
--1.522754752581096E-007,
- 8.424748808502400E-006,
--3.120693124703272E-004,
- 7.244727626597022E-003,
--9.228055941124598E-002,
- 5.235987735681432E-001
-};
-
-/* C(x) for small x */
-static float cn[7] = {
- 1.416802502367354E-008,
--1.157231412229871E-006,
- 5.387223446683264E-005,
--1.604381798862293E-003,
- 2.818489036795073E-002,
--2.467398198317899E-001,
- 9.999999760004487E-001
-};
-
-
-/* Auxiliary function f(x) */
-static float fn[8] = {
--1.903009855649792E+012,
- 1.355942388050252E+011,
--4.158143148511033E+009,
- 7.343848463587323E+007,
--8.732356681548485E+005,
- 8.560515466275470E+003,
--1.032877601091159E+002,
- 2.999401847870011E+000
-};
-
-/* Auxiliary function g(x) */
-static float gn[8] = {
--1.860843997624650E+011,
- 1.278350673393208E+010,
--3.779387713202229E+008,
- 6.492611570598858E+006,
--7.787789623358162E+004,
- 8.602931494734327E+002,
--1.493439396592284E+001,
- 9.999841934744914E-001
-};
-
-
-extern float PIF, PIO2F;
-
-#define fabsf(x) ( (x) < 0 ? -(x) : (x) )
-
-#ifdef ANSIC
-float polevlf( float, float *, int );
-float cosf(float), sinf(float);
-#else
-float polevlf(), cosf(), sinf();
-#endif
-
-void fresnlf( float xxa, float *ssa, float *cca )
-{
-float f, g, cc, ss, c, s, t, u, x, x2;
-
-x = xxa;
-x = fabsf(x);
-x2 = x * x;
-if( x2 < 2.5625 )
- {
- t = x2 * x2;
- ss = x * x2 * polevlf( t, sn, 6);
- cc = x * polevlf( t, cn, 6);
- goto done;
- }
-
-if( x > 36974.0 )
- {
- cc = 0.5;
- ss = 0.5;
- goto done;
- }
-
-
-/* Asymptotic power series auxiliary functions
- * for large argument
- */
- x2 = x * x;
- t = PIF * x2;
- u = 1.0/(t * t);
- t = 1.0/t;
- f = 1.0 - u * polevlf( u, fn, 7);
- g = t * polevlf( u, gn, 7);
-
- t = PIO2F * x2;
- c = cosf(t);
- s = sinf(t);
- t = PIF * x;
- cc = 0.5 + (f * s - g * c)/t;
- ss = 0.5 - (f * c + g * s)/t;
-
-done:
-if( xxa < 0.0 )
- {
- cc = -cc;
- ss = -ss;
- }
-
-*cca = cc;
-*ssa = ss;
-#if !ANSIC
-return 0;
-#endif
-}