diff -r 345b1ca54e88 -r 039a3e647356 kerneltest/e32utils/nistsecurerng/src/cephes.cpp --- 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); -}