--- a/kerneltest/e32utils/nistsecurerng/src/cephes.cpp Wed Sep 15 13:42:27 2010 +0300
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,357 +0,0 @@
-/*
-* Portions Copyright (c) 2009 Nokia Corporation and/or its subsidiary(-ies).
-* All rights reserved.
-* This component and the accompanying materials are made available
-* under the terms of "Eclipse Public License v1.0"
-* which accompanies this distribution, and is available
-* at the URL "http://www.eclipse.org/legal/epl-v10.html".
-*
-* Initial Contributors:
-* Nokia Corporation - initial contribution.
-*
-* Contributors:
-*
-* Description:
-* The original NIST Statistical Test Suite code is placed in public domain.
-* (http://csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html)
-*
-* This software was developed at the National Institute of Standards and Technology by
-* employees of the Federal Government in the course of their official duties. Pursuant
-* to title 17 Section 105 of the United States Code this software is not subject to
-* copyright protection and is in the public domain. The NIST Statistical Test Suite is
-* an experimental system. NIST assumes no responsibility whatsoever for its use by other
-* parties, and makes no guarantees, expressed or implied, about its quality, reliability,
-* or any other characteristic. We would appreciate acknowledgment if the software is used.
-*/
-
-
-
-#include "openc.h"
-#include "../include/cephes.h"
-
-static const double rel_error = 1E-12;
-
-double MACHEP = 1.11022302462515654042E-16; // 2**-53
-double MAXLOG = 7.09782712893383996732224E2; // log(MAXNUM)
-double MAXNUM = 1.7976931348623158E308; // 2**1024*(1-MACHEP)
-double PI = 3.14159265358979323846; // pi, duh!
-
-static double big = 4.503599627370496e15;
-static double biginv = 2.22044604925031308085e-16;
-
-int sgngam = 0;
-
-double
-cephes_igamc(double a, double x)
-{
- double ans, ax, c, yc, r, t, y, z;
- double pk, pkm1, pkm2, qk, qkm1, qkm2;
-
- if ( (x <= 0) || ( a <= 0) )
- return( 1.0 );
-
- if ( (x < 1.0) || (x < a) )
- return( 1.e0 - cephes_igam(a,x) );
-
- ax = a * log(x) - x - cephes_lgam(a);
-
- if ( ax < -MAXLOG ) {
- printf("igamc: UNDERFLOW\n");
- return 0.0;
- }
- ax = exp(ax);
-
- /* continued fraction */
- y = 1.0 - a;
- z = x + y + 1.0;
- c = 0.0;
- pkm2 = 1.0;
- qkm2 = x;
- pkm1 = x + 1.0;
- qkm1 = z * x;
- ans = pkm1/qkm1;
-
- do {
- c += 1.0;
- y += 1.0;
- z += 2.0;
- yc = y * c;
- pk = pkm1 * z - pkm2 * yc;
- qk = qkm1 * z - qkm2 * yc;
- if ( qk != 0 ) {
- r = pk/qk;
- t = fabs( (ans - r)/r );
- ans = r;
- }
- else
- t = 1.0;
- pkm2 = pkm1;
- pkm1 = pk;
- qkm2 = qkm1;
- qkm1 = qk;
- if ( fabs(pk) > big ) {
- pkm2 *= biginv;
- pkm1 *= biginv;
- qkm2 *= biginv;
- qkm1 *= biginv;
- }
- } while ( t > MACHEP );
-
- return ans*ax;
-}
-
-double
-cephes_igam(double a, double x)
-{
- double ans, ax, c, r;
-
- if ( (x <= 0) || ( a <= 0) )
- return 0.0;
-
- if ( (x > 1.0) && (x > a ) )
- return 1.e0 - cephes_igamc(a,x);
-
- /* Compute x**a * exp(-x) / gamma(a) */
- ax = a * log(x) - x - cephes_lgam(a);
- if ( ax < -MAXLOG ) {
- printf("igam: UNDERFLOW\n");
- return 0.0;
- }
- ax = exp(ax);
-
- /* power series */
- r = a;
- c = 1.0;
- ans = 1.0;
-
- do {
- r += 1.0;
- c *= x/r;
- ans += c;
- } while ( c/ans > MACHEP );
-
- return ans * ax/a;
-}
-
-
-/* A[]: Stirling's formula expansion of log gamma
- * B[], C[]: log gamma function between 2 and 3
- */
-static unsigned short A[] = {
- 0x6661,0x2733,0x9850,0x3f4a,
- 0xe943,0xb580,0x7fbd,0xbf43,
- 0x5ebb,0x20dc,0x019f,0x3f4a,
- 0xa5a1,0x16b0,0xc16c,0xbf66,
- 0x554b,0x5555,0x5555,0x3fb5
-};
-static unsigned short B[] = {
- 0x6761,0x8ff3,0x8901,0xc095,
- 0xb93e,0x355b,0xf234,0xc0e2,
- 0x89e5,0xf890,0x3d73,0xc114,
- 0xdb51,0xf994,0xbc82,0xc131,
- 0xf20b,0x0219,0x4589,0xc13a,
- 0x055e,0x5418,0x0c67,0xc12a
-};
-static unsigned short C[] = {
- /*0x0000,0x0000,0x0000,0x3ff0,*/
- 0x12b2,0x1cf3,0xfd0d,0xc075,
- 0xd757,0x7b89,0xaa0d,0xc0d0,
- 0x4c9b,0xb974,0xeb84,0xc10a,
- 0x0043,0x7195,0x6286,0xc131,
- 0xf34c,0x892f,0x5255,0xc143,
- 0xe14a,0x6a11,0xce4b,0xc13e
-};
-
-#define MAXLGM 2.556348e305
-
-
-/* Logarithm of gamma function */
-double
-cephes_lgam(double x)
-{
- double p, q, u, w, z;
- int i;
-
- sgngam = 1;
-
- if ( x < -34.0 ) {
- q = -x;
- w = cephes_lgam(q); /* note this modifies sgngam! */
- p = floor(q);
- if ( p == q ) {
-lgsing:
- goto loverf;
- }
- i = (int)p;
- if ( (i & 1) == 0 )
- sgngam = -1;
- else
- sgngam = 1;
- z = q - p;
- if ( z > 0.5 ) {
- p += 1.0;
- z = p - q;
- }
- z = q * sin( PI * z );
- if ( z == 0.0 )
- goto lgsing;
- /* z = log(PI) - log( z ) - w;*/
- z = log(PI) - log( z ) - w;
- return z;
- }
-
- if ( x < 13.0 ) {
- z = 1.0;
- p = 0.0;
- u = x;
- while ( u >= 3.0 ) {
- p -= 1.0;
- u = x + p;
- z *= u;
- }
- while ( u < 2.0 ) {
- if ( u == 0.0 )
- goto lgsing;
- z /= u;
- p += 1.0;
- u = x + p;
- }
- if ( z < 0.0 ) {
- sgngam = -1;
- z = -z;
- }
- else
- sgngam = 1;
- if ( u == 2.0 )
- return( log(z) );
- p -= 2.0;
- x = x + p;
- p = x * cephes_polevl( x, (double *)B, 5 ) / cephes_p1evl( x, (double *)C, 6);
-
- return log(z) + p;
- }
-
- if ( x > MAXLGM ) {
-loverf:
- printf("lgam: OVERFLOW\n");
-
- return sgngam * MAXNUM;
- }
-
- q = ( x - 0.5 ) * log(x) - x + log( sqrt( 2*PI ) );
- if ( x > 1.0e8 )
- return q;
-
- p = 1.0/(x*x);
- if ( x >= 1000.0 )
- q += (( 7.9365079365079365079365e-4 * p
- - 2.7777777777777777777778e-3) *p
- + 0.0833333333333333333333) / x;
- else
- q += cephes_polevl( p, (double *)A, 4 ) / x;
-
- return q;
-}
-
-double
-cephes_polevl(double x, double *coef, int N)
-{
- double ans;
- int i;
- double *p;
-
- p = coef;
- ans = *p++;
- i = N;
-
- do
- ans = ans * x + *p++;
- while ( --i );
-
- return ans;
-}
-
-double
-cephes_p1evl(double x, double *coef, int N)
-{
- double ans;
- double *p;
- int i;
-
- p = coef;
- ans = x + *p++;
- i = N-1;
-
- do
- ans = ans * x + *p++;
- while ( --i );
-
- return ans;
-}
-
-double
-cephes_erf(double x)
-{
- static const double two_sqrtpi = 1.128379167095512574;
- double sum = x, term = x, xsqr = x * x;
- int j = 1;
-
- if ( fabs(x) > 2.2 )
- return 1.0 - cephes_erfc(x);
-
- do {
- term *= xsqr/j;
- sum -= term/(2*j+1);
- j++;
- term *= xsqr/j;
- sum += term/(2*j+1);
- j++;
- } while ( fabs(term)/sum > rel_error );
-
- return two_sqrtpi*sum;
-}
-
-double
-cephes_erfc(double x)
-{
- static const double one_sqrtpi = 0.564189583547756287;
- double a = 1, b = x, c = x, d = x*x + 0.5;
- double q1, q2 = b/d, n = 1.0, t;
-
- if ( fabs(x) < 2.2 )
- return 1.0 - cephes_erf(x);
- if ( x < 0 )
- return 2.0 - cephes_erfc(-x);
-
- do {
- t = a*n + b*x;
- a = b;
- b = t;
- t = c*n + d*x;
- c = d;
- d = t;
- n += 0.5;
- q1 = q2;
- q2 = b/d;
- } while ( fabs(q1-q2)/q2 > rel_error );
-
- return one_sqrtpi*exp(-x*x)*q2;
-}
-
-
-double
-cephes_normal(double x)
-{
- double arg, result, sqrt2=1.414213562373095048801688724209698078569672;
-
- if (x > 0) {
- arg = x/sqrt2;
- result = 0.5 * ( 1 + erf(arg) );
- }
- else {
- arg = -x/sqrt2;
- result = 0.5 * ( 1 - erf(arg) );
- }
-
- return( result);
-}