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Diffstat (limited to 'winsup/mingw/mingwex/math/tgamma.c')
| -rw-r--r-- | winsup/mingw/mingwex/math/tgamma.c | 385 |
1 files changed, 0 insertions, 385 deletions
diff --git a/winsup/mingw/mingwex/math/tgamma.c b/winsup/mingw/mingwex/math/tgamma.c deleted file mode 100644 index d04a5f4a5..000000000 --- a/winsup/mingw/mingwex/math/tgamma.c +++ /dev/null @@ -1,385 +0,0 @@ -/* gamma.c - * - * Gamma function - * - * - * - * SYNOPSIS: - * - * double x, y, __tgamma_r(); - * int* sgngam; - * y = __tgamma_r( x, sgngam ); - * - * double x, y, tgamma(); - * y = tgamma( x) - * - * - * - * DESCRIPTION: - * - * Returns gamma function of the argument. The result is - * correctly signed. In the reentrant version the sign (+1 or -1) - * is returned in the variable referenced by sgngam. - * - * Arguments |x| <= 34 are reduced by recurrence and the function - * approximated by a rational function of degree 6/7 in the - * interval (2,3). Large arguments are handled by Stirling's - * formula. Large negative arguments are made positive using - * a reflection formula. - * - * - * ACCURACY: - * - * Relative error: - * arithmetic domain # trials peak rms - * DEC -34, 34 10000 1.3e-16 2.5e-17 - * IEEE -170,-33 20000 2.3e-15 3.3e-16 - * IEEE -33, 33 20000 9.4e-16 2.2e-16 - * IEEE 33, 171.6 20000 2.3e-15 3.2e-16 - * - * Error for arguments outside the test range will be larger - * owing to error amplification by the exponential function. - * - */ - -/* -Cephes Math Library Release 2.8: June, 2000 -Copyright 1984, 1987, 1989, 1992, 2000 by Stephen L. Moshier -*/ - - -/* - * 26-11-2002 Modified for mingw. - * Danny Smith <dannysmith@users.sourceforge.net> - */ - - -#ifndef __MINGW32__ -#include "mconf.h" -#else -#include "cephes_mconf.h" -#endif - -#ifdef UNK -static const double P[] = { - 1.60119522476751861407E-4, - 1.19135147006586384913E-3, - 1.04213797561761569935E-2, - 4.76367800457137231464E-2, - 2.07448227648435975150E-1, - 4.94214826801497100753E-1, - 9.99999999999999996796E-1 -}; -static const double Q[] = { --2.31581873324120129819E-5, - 5.39605580493303397842E-4, --4.45641913851797240494E-3, - 1.18139785222060435552E-2, - 3.58236398605498653373E-2, --2.34591795718243348568E-1, - 7.14304917030273074085E-2, - 1.00000000000000000320E0 -}; -#define MAXGAM 171.624376956302725 -static const double LOGPI = 1.14472988584940017414; -#endif - -#ifdef DEC -static const unsigned short P[] = { -0035047,0162701,0146301,0005234, -0035634,0023437,0032065,0176530, -0036452,0137157,0047330,0122574, -0037103,0017310,0143041,0017232, -0037524,0066516,0162563,0164605, -0037775,0004671,0146237,0014222, -0040200,0000000,0000000,0000000 -}; -static const unsigned short Q[] = { -0134302,0041724,0020006,0116565, -0035415,0072121,0044251,0025634, -0136222,0003447,0035205,0121114, -0036501,0107552,0154335,0104271, -0037022,0135717,0014776,0171471, -0137560,0034324,0165024,0037021, -0037222,0045046,0047151,0161213, -0040200,0000000,0000000,0000000 -}; -#define MAXGAM 34.84425627277176174 -#endif - -#ifdef IBMPC -static const unsigned short P[] = { -0x2153,0x3998,0xfcb8,0x3f24, -0xbfab,0xe686,0x84e3,0x3f53, -0x14b0,0xe9db,0x57cd,0x3f85, -0x23d3,0x18c4,0x63d9,0x3fa8, -0x7d31,0xdcae,0x8da9,0x3fca, -0xe312,0x3993,0xa137,0x3fdf, -0x0000,0x0000,0x0000,0x3ff0 -}; -static const unsigned short Q[] = { -0xd3af,0x8400,0x487a,0xbef8, -0x2573,0x2915,0xae8a,0x3f41, -0xb44a,0xe750,0x40e4,0xbf72, -0xb117,0x5b1b,0x31ed,0x3f88, -0xde67,0xe33f,0x5779,0x3fa2, -0x87c2,0x9d42,0x071a,0xbfce, -0x3c51,0xc9cd,0x4944,0x3fb2, -0x0000,0x0000,0x0000,0x3ff0 -}; -#define MAXGAM 171.624376956302725 -#endif - -#ifdef MIEEE -static const unsigned short P[] = { -0x3f24,0xfcb8,0x3998,0x2153, -0x3f53,0x84e3,0xe686,0xbfab, -0x3f85,0x57cd,0xe9db,0x14b0, -0x3fa8,0x63d9,0x18c4,0x23d3, -0x3fca,0x8da9,0xdcae,0x7d31, -0x3fdf,0xa137,0x3993,0xe312, -0x3ff0,0x0000,0x0000,0x0000 -}; -static const unsigned short Q[] = { -0xbef8,0x487a,0x8400,0xd3af, -0x3f41,0xae8a,0x2915,0x2573, -0xbf72,0x40e4,0xe750,0xb44a, -0x3f88,0x31ed,0x5b1b,0xb117, -0x3fa2,0x5779,0xe33f,0xde67, -0xbfce,0x071a,0x9d42,0x87c2, -0x3fb2,0x4944,0xc9cd,0x3c51, -0x3ff0,0x0000,0x0000,0x0000 -}; -#define MAXGAM 171.624376956302725 -#endif - -/* Stirling's formula for the gamma function */ -#if UNK -static const double STIR[5] = { - 7.87311395793093628397E-4, --2.29549961613378126380E-4, --2.68132617805781232825E-3, - 3.47222221605458667310E-3, - 8.33333333333482257126E-2, -}; -#define MAXSTIR 143.01608 -static const double SQTPI = 2.50662827463100050242E0; -#endif -#if DEC -static const unsigned short STIR[20] = { -0035516,0061622,0144553,0112224, -0135160,0131531,0037460,0165740, -0136057,0134460,0037242,0077270, -0036143,0107070,0156306,0027751, -0037252,0125252,0125252,0146064, -}; -#define MAXSTIR 26.77 -static const unsigned short SQT[4] = { -0040440,0066230,0177661,0034055, -}; -#define SQTPI *(double *)SQT -#endif -#if IBMPC -static const unsigned short STIR[20] = { -0x7293,0x592d,0xcc72,0x3f49, -0x1d7c,0x27e6,0x166b,0xbf2e, -0x4fd7,0x07d4,0xf726,0xbf65, -0xc5fd,0x1b98,0x71c7,0x3f6c, -0x5986,0x5555,0x5555,0x3fb5, -}; -#define MAXSTIR 143.01608 -static const unsigned short SQT[4] = { -0x2706,0x1ff6,0x0d93,0x4004, -}; -#define SQTPI *(double *)SQT -#endif -#if MIEEE -static const unsigned short STIR[20] = { -0x3f49,0xcc72,0x592d,0x7293, -0xbf2e,0x166b,0x27e6,0x1d7c, -0xbf65,0xf726,0x07d4,0x4fd7, -0x3f6c,0x71c7,0x1b98,0xc5fd, -0x3fb5,0x5555,0x5555,0x5986, -}; -#define MAXSTIR 143.01608 -static const unsigned short SQT[4] = { -0x4004,0x0d93,0x1ff6,0x2706, -}; -#define SQTPI *(double *)SQT -#endif - -#ifndef __MINGW32__ -int sgngam = 0; -extern int sgngam; -extern double MAXLOG, MAXNUM, PI; -#ifdef ANSIPROT -extern double pow ( double, double ); -extern double log ( double ); -extern double exp ( double ); -extern double sin ( double ); -extern double polevl ( double, void *, int ); -extern double p1evl ( double, void *, int ); -extern double floor ( double ); -extern double fabs ( double ); -extern int isnan ( double ); -extern int isfinite ( double ); -static double stirf ( double ); -double lgam ( double ); -#else -double pow(), log(), exp(), sin(), polevl(), p1evl(), floor(), fabs(); -int isnan(), isfinite(); -static double stirf(); -double lgam(); -#endif -#ifdef INFINITIES -extern double INFINITY; -#endif -#ifdef NANS -extern double NAN; -#endif -#else /* __MINGW32__ */ -static double stirf ( double ); -#endif - -/* Gamma function computed by Stirling's formula. - * The polynomial STIR is valid for 33 <= x <= 172. - */ -static double stirf(x) -double x; -{ -double y, w, v; - -w = 1.0/x; -w = 1.0 + w * polevl( w, STIR, 4 ); -y = exp(x); -if( x > MAXSTIR ) - { /* Avoid overflow in pow() */ - v = pow( x, 0.5 * x - 0.25 ); - y = v * (v / y); - } -else - { - y = pow( x, x - 0.5 ) / y; - } -y = SQTPI * y * w; -return( y ); -} - - - -double __tgamma_r(double x, int* sgngam) -{ -double p, q, z; -int i; - -*sgngam = 1; -#ifdef NANS -if( isnan(x) ) - return(x); -#endif -#ifdef INFINITIES -#ifdef NANS -if( x == INFINITY ) - return(x); -if( x == -INFINITY ) - return(NAN); -#else -if( !isfinite(x) ) - return(x); -#endif -#endif -q = fabs(x); - -if( q > 33.0 ) - { - if( x < 0.0 ) - { - p = floor(q); - if( p == q ) - { -gsing: - _SET_ERRNO(EDOM); - mtherr( "tgamma", SING ); -#ifdef INFINITIES - return (INFINITY); -#else - return (MAXNUM); -#endif - } - i = p; - if( (i & 1) == 0 ) - *sgngam = -1; - z = q - p; - if( z > 0.5 ) - { - p += 1.0; - z = q - p; - } - z = q * sin( PI * z ); - if( z == 0.0 ) - { - _SET_ERRNO(ERANGE); - mtherr( "tgamma", OVERFLOW ); -#ifdef INFINITIES - return( *sgngam * INFINITY); -#else - return( *sgngam * MAXNUM); -#endif - } - z = fabs(z); - z = PI/(z * stirf(q) ); - } - else - { - z = stirf(x); - } - return( *sgngam * z ); - } - -z = 1.0; -while( x >= 3.0 ) - { - x -= 1.0; - z *= x; - } - -while( x < 0.0 ) - { - if( x > -1.E-9 ) - goto Small; - z /= x; - x += 1.0; - } - -while( x < 2.0 ) - { - if( x < 1.e-9 ) - goto Small; - z /= x; - x += 1.0; - } - -if( x == 2.0 ) - return(z); - -x -= 2.0; -p = polevl( x, P, 6 ); -q = polevl( x, Q, 7 ); -return( z * p / q ); - -Small: -if( x == 0.0 ) - { - goto gsing; - } -else - return( z/((1.0 + 0.5772156649015329 * x) * x) ); -} - -/* This is the C99 version */ - -double tgamma(double x) -{ - int local_sgngam=0; - return (__tgamma_r(x, &local_sgngam)); -} |