diff options
Diffstat (limited to 'libm/float/sicif.c')
| -rw-r--r-- | libm/float/sicif.c | 279 |
1 files changed, 0 insertions, 279 deletions
diff --git a/libm/float/sicif.c b/libm/float/sicif.c deleted file mode 100644 index 04633ee68..000000000 --- a/libm/float/sicif.c +++ /dev/null @@ -1,279 +0,0 @@ -/* sicif.c - * - * Sine and cosine integrals - * - * - * - * SYNOPSIS: - * - * float x, Ci, Si; - * - * sicif( x, &Si, &Ci ); - * - * - * DESCRIPTION: - * - * Evaluates the integrals - * - * x - * - - * | cos t - 1 - * Ci(x) = eul + ln x + | --------- dt, - * | t - * - - * 0 - * x - * - - * | sin t - * Si(x) = | ----- dt - * | t - * - - * 0 - * - * where eul = 0.57721566490153286061 is Euler's constant. - * The integrals are approximated by rational functions. - * For x > 8 auxiliary functions f(x) and g(x) are employed - * such that - * - * Ci(x) = f(x) sin(x) - g(x) cos(x) - * Si(x) = pi/2 - f(x) cos(x) - g(x) sin(x) - * - * - * ACCURACY: - * Test interval = [0,50]. - * Absolute error, except relative when > 1: - * arithmetic function # trials peak rms - * IEEE Si 30000 2.1e-7 4.3e-8 - * IEEE Ci 30000 3.9e-7 2.2e-8 - */ - -/* -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> - -static float SN[] = { --8.39167827910303881427E-11, - 4.62591714427012837309E-8, --9.75759303843632795789E-6, - 9.76945438170435310816E-4, --4.13470316229406538752E-2, - 1.00000000000000000302E0, -}; -static float SD[] = { - 2.03269266195951942049E-12, - 1.27997891179943299903E-9, - 4.41827842801218905784E-7, - 9.96412122043875552487E-5, - 1.42085239326149893930E-2, - 9.99999999999999996984E-1, -}; - -static float CN[] = { - 2.02524002389102268789E-11, --1.35249504915790756375E-8, - 3.59325051419993077021E-6, --4.74007206873407909465E-4, - 2.89159652607555242092E-2, --1.00000000000000000080E0, -}; -static float CD[] = { - 4.07746040061880559506E-12, - 3.06780997581887812692E-9, - 1.23210355685883423679E-6, - 3.17442024775032769882E-4, - 5.10028056236446052392E-2, - 4.00000000000000000080E0, -}; - - -static float FN4[] = { - 4.23612862892216586994E0, - 5.45937717161812843388E0, - 1.62083287701538329132E0, - 1.67006611831323023771E-1, - 6.81020132472518137426E-3, - 1.08936580650328664411E-4, - 5.48900223421373614008E-7, -}; -static float FD4[] = { -/* 1.00000000000000000000E0,*/ - 8.16496634205391016773E0, - 7.30828822505564552187E0, - 1.86792257950184183883E0, - 1.78792052963149907262E-1, - 7.01710668322789753610E-3, - 1.10034357153915731354E-4, - 5.48900252756255700982E-7, -}; - - -static float FN8[] = { - 4.55880873470465315206E-1, - 7.13715274100146711374E-1, - 1.60300158222319456320E-1, - 1.16064229408124407915E-2, - 3.49556442447859055605E-4, - 4.86215430826454749482E-6, - 3.20092790091004902806E-8, - 9.41779576128512936592E-11, - 9.70507110881952024631E-14, -}; -static float FD8[] = { -/* 1.00000000000000000000E0,*/ - 9.17463611873684053703E-1, - 1.78685545332074536321E-1, - 1.22253594771971293032E-2, - 3.58696481881851580297E-4, - 4.92435064317881464393E-6, - 3.21956939101046018377E-8, - 9.43720590350276732376E-11, - 9.70507110881952025725E-14, -}; - -static float GN4[] = { - 8.71001698973114191777E-2, - 6.11379109952219284151E-1, - 3.97180296392337498885E-1, - 7.48527737628469092119E-2, - 5.38868681462177273157E-3, - 1.61999794598934024525E-4, - 1.97963874140963632189E-6, - 7.82579040744090311069E-9, -}; -static float GD4[] = { -/* 1.00000000000000000000E0,*/ - 1.64402202413355338886E0, - 6.66296701268987968381E-1, - 9.88771761277688796203E-2, - 6.22396345441768420760E-3, - 1.73221081474177119497E-4, - 2.02659182086343991969E-6, - 7.82579218933534490868E-9, -}; - -static float GN8[] = { - 6.97359953443276214934E-1, - 3.30410979305632063225E-1, - 3.84878767649974295920E-2, - 1.71718239052347903558E-3, - 3.48941165502279436777E-5, - 3.47131167084116673800E-7, - 1.70404452782044526189E-9, - 3.85945925430276600453E-12, - 3.14040098946363334640E-15, -}; -static float GD8[] = { -/* 1.00000000000000000000E0,*/ - 1.68548898811011640017E0, - 4.87852258695304967486E-1, - 4.67913194259625806320E-2, - 1.90284426674399523638E-3, - 3.68475504442561108162E-5, - 3.57043223443740838771E-7, - 1.72693748966316146736E-9, - 3.87830166023954706752E-12, - 3.14040098946363335242E-15, -}; - -#define EUL 0.57721566490153286061 -extern float MAXNUMF, PIO2F, MACHEPF; - - - -#ifdef ANSIC -float logf(float), sinf(float), cosf(float); -float polevlf(float, float *, int); -float p1evlf(float, float *, int); -#else -float logf(), sinf(), cosf(), polevlf(), p1evlf(); -#endif - - -int sicif( float xx, float *si, float *ci ) -{ -float x, z, c, s, f, g; -int sign; - -x = xx; -if( x < 0.0 ) - { - sign = -1; - x = -x; - } -else - sign = 0; - - -if( x == 0.0 ) - { - *si = 0.0; - *ci = -MAXNUMF; - return( 0 ); - } - - -if( x > 1.0e9 ) - { - *si = PIO2F - cosf(x)/x; - *ci = sinf(x)/x; - return( 0 ); - } - - - -if( x > 4.0 ) - goto asympt; - -z = x * x; -s = x * polevlf( z, SN, 5 ) / polevlf( z, SD, 5 ); -c = z * polevlf( z, CN, 5 ) / polevlf( z, CD, 5 ); - -if( sign ) - s = -s; -*si = s; -*ci = EUL + logf(x) + c; /* real part if x < 0 */ -return(0); - - - -/* The auxiliary functions are: - * - * - * *si = *si - PIO2; - * c = cos(x); - * s = sin(x); - * - * t = *ci * s - *si * c; - * a = *ci * c + *si * s; - * - * *si = t; - * *ci = -a; - */ - - -asympt: - -s = sinf(x); -c = cosf(x); -z = 1.0/(x*x); -if( x < 8.0 ) - { - f = polevlf( z, FN4, 6 ) / (x * p1evlf( z, FD4, 7 )); - g = z * polevlf( z, GN4, 7 ) / p1evlf( z, GD4, 7 ); - } -else - { - f = polevlf( z, FN8, 8 ) / (x * p1evlf( z, FD8, 8 )); - g = z * polevlf( z, GN8, 8 ) / p1evlf( z, GD8, 9 ); - } -*si = PIO2F - f * c - g * s; -if( sign ) - *si = -( *si ); -*ci = f * s - g * c; - -return(0); -} |