291
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/*
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* Portions Copyright (c) 2009 Nokia Corporation and/or its subsidiary(-ies).
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* All rights reserved.
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* This component and the accompanying materials are made available
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* under the terms of "Eclipse Public License v1.0"
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* which accompanies this distribution, and is available
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* at the URL "http://www.eclipse.org/legal/epl-v10.html".
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*
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* Initial Contributors:
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* Nokia Corporation - initial contribution.
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*
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* Contributors:
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*
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* Description:
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*/
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/* --------------------------------------------------------------------------
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Title : The NIST Statistical Test Suite
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Date : December 1999
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Programmer : Juan Soto
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Summary : For use in the evaluation of the randomness of bitstreams
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produced by cryptographic random number generators.
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Package : Version 1.0
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Copyright : (c) 1999 by the National Institute Of Standards & Technology
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History : Version 1.0 by J. Soto, October 1999
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Revised by J. Soto, November 1999
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Revised by Larry Bassham, March 2008
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Keywords : Pseudorandom Number Generator (PRNG), Randomness, Statistical
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Tests, Complementary Error functions, Incomplete Gamma
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Function, Random Walks, Rank, Fast Fourier Transform,
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Template, Cryptographically Secure PRNG (CSPRNG),
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Approximate Entropy (ApEn), Secure Hash Algorithm (SHA-1),
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Blum-Blum-Shub (BBS) CSPRNG, Micali-Schnorr (MS) CSPRNG,
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Source : David Banks, Elaine Barker, James Dray, Allen Heckert,
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Stefan Leigh, Mark Levenson, James Nechvatal, Andrew Rukhin,
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Miles Smid, Juan Soto, Mark Vangel, and San Vo.
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Technical
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Assistance : Larry Bassham, Ron Boisvert, James Filliben, Daniel Lozier,
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and Bert Rust.
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Warning : Portability Issues.
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Limitation : Amount of memory allocated for workspace.
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Restrictions: Permission to use, copy, and modify this software without
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fee is hereby granted, provided that this entire notice is
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included in all copies of any software which is or includes
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a copy or modification of this software and in all copies
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of the supporting documentation for such software.
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-------------------------------------------------------------------------- */
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//system include
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#include <e32base.h>
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#include <e32std.h>
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#include <e32cons.h>
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// user include
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#include "openc.h"
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#include "../include/decls.h"
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#include "../include/cephes.h"
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#include "../include/utilities.h"
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#include "../include/generators.h"
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typedef int (*CompareFnType)(const void*, const void*);
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void partitionResultFile(int numOfFiles, int numOfSequences, int option, int testNameID);
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void postProcessResults(int option);
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int cmp(const double *a, const double *b);
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int computeMetrics(char *s, int test);
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int
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StartNISTTest()
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{
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int i;
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int option = 10; /* TEMPLATE LENGTH/STREAM LENGTH/GENERATOR*/
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char *streamFile = NULL; /* STREAM FILENAME */
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tp.n = 1000000; // length of the individual bit stream(s) to be processed
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tp.blockFrequencyBlockLength = 128;
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tp.nonOverlappingTemplateBlockLength = 9;
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tp.overlappingTemplateBlockLength = 9;
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tp.approximateEntropyBlockLength = 10;
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tp.serialBlockLength = 16;
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tp.linearComplexitySequenceLength = 500;
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tp.numOfBitStreams = 100;
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chooseTests();
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fixParameters();
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openOutputStreams(option);
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invokeTestSuite(option, streamFile);
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fclose(freqfp);
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for( i=1; i<=NUMOFTESTS; i++ ) {
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if ( stats[i] != NULL )
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fclose(stats[i]);
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if ( results[i] != NULL )
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fclose(results[i]);
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}
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if ( (testVector[0] == 1) || (testVector[TEST_CUSUM] == 1) )
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partitionResultFile(2, tp.numOfBitStreams, option, TEST_CUSUM);
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if ( (testVector[0] == 1) || (testVector[TEST_NONPERIODIC] == 1) )
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partitionResultFile(MAXNUMOFTEMPLATES, tp.numOfBitStreams, option, TEST_NONPERIODIC);
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if ( (testVector[0] == 1) || (testVector[TEST_RND_EXCURSION] == 1) )
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partitionResultFile(8, tp.numOfBitStreams, option, TEST_RND_EXCURSION);
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if ( (testVector[0] == 1) || (testVector[TEST_RND_EXCURSION_VAR] == 1) )
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partitionResultFile(18, tp.numOfBitStreams, option, TEST_RND_EXCURSION_VAR);
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if ( (testVector[0] == 1) || (testVector[TEST_SERIAL] == 1) )
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partitionResultFile(2, tp.numOfBitStreams, option, TEST_SERIAL);
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fprintf(summary, "------------------------------------------------------------------------------\n");
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fprintf(summary, "RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES\n");
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fprintf(summary, "------------------------------------------------------------------------------\n");
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fprintf(summary, " C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST\n");
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fprintf(summary, "------------------------------------------------------------------------------\n");
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postProcessResults(option);
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fclose(summary);
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return 1;
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}
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void
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partitionResultFile(int numOfFiles, int numOfSequences, int option, int testNameID)
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{
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int i, k, m, j, start, end, num, numread;
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float c;
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FILE **fp = (FILE **)calloc(numOfFiles+1, sizeof(FILE *));
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int *results = (int *)calloc(numOfFiles, sizeof(int *));
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char *s[MAXFILESPERMITTEDFORPARTITION];
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char resultsDir[200];
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for ( i=0; i<MAXFILESPERMITTEDFORPARTITION; i++ )
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s[i] = (char*)calloc(200, sizeof(char));
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sprintf(resultsDir, "%s\\experiments\\%s\\%s\\results", gLogFilePath.PtrZ(), generatorDir[option], testNames[testNameID]);
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if ( (fp[numOfFiles] = fopen(resultsDir, "r")) == NULL ) {
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printf("%s", resultsDir);
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printf(" -- file not found. Exiting program.\n");
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exit(-1);
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}
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for ( i=0; i<numOfFiles; i++ )
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{
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sprintf(s[i], "%s\\experiments\\%s\\%s\\data%d", gLogFilePath.PtrZ(), generatorDir[option], testNames[testNameID], i+1);
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}
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numread = 0;
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m = numOfFiles/20;
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if ( (numOfFiles%20) != 0 )
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m++;
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for ( i=0; i<numOfFiles; i++ ) {
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if ( (fp[i] = fopen(s[i], "w")) == NULL ) {
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printf("%s", s[i]);
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printf(" -- file not found. Exiting program.\n");
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exit(-1);
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}
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fclose(fp[i]);
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}
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for ( num=0; num<numOfSequences; num++ ) {
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for ( k=0; k<m; k++ ) { /* FOR EACH BATCH */
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start = k*20; /* BOUNDARY SEGMENTS */
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end = k*20+19;
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if ( k == (m-1) )
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end = numOfFiles-1;
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for ( i=start; i<=end; i++ ) { /* OPEN FILE */
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if ( (fp[i] = fopen(s[i], "a")) == NULL ) {
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printf("%s", s[i]);
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printf(" -- file not found. Exiting program.\n");
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exit(-1);
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}
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}
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for ( j=start; j<=end; j++ ) { /* POPULATE FILE */
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fscanf(fp[numOfFiles], "%f", &c);
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fprintf(fp[j], "%f\n", c);
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numread++;
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}
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for ( i=start; i<=end; i++ ) /* CLOSE FILE */
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fclose(fp[i]);
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}
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}
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fclose(fp[numOfFiles]);
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for ( i=0; i<MAXFILESPERMITTEDFORPARTITION; i++ )
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free(s[i]);
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free(fp);
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free(results);
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return;
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}
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int
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cmp(const double *a, const double *b)
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{
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if ( *a < *b )
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return -1;
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if ( *a == *b )
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return 0;
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return 1;
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}
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void
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postProcessResults(int option)
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{
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int i, k;
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int randomExcursionSampleSize = 0;
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int generalSampleSize = 0;
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int case1, case2, numOfFiles = 2;
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double passRate;
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char s[200];
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for ( i=1; i<=NUMOFTESTS; i++ ) { // FOR EACH TEST
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if ( testVector[i] ) {
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// SPECIAL CASES -- HANDLING MULTIPLE FILES FOR A SINGLE TEST
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if ( ((i == TEST_CUSUM) && testVector[TEST_CUSUM] ) ||
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((i == TEST_NONPERIODIC) && testVector[TEST_NONPERIODIC] ) ||
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((i == TEST_RND_EXCURSION) && testVector[TEST_RND_EXCURSION]) ||
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((i == TEST_RND_EXCURSION_VAR) && testVector[TEST_RND_EXCURSION_VAR]) ||
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((i == TEST_SERIAL) && testVector[TEST_SERIAL]) ) {
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if ( (i == TEST_NONPERIODIC) && testVector[TEST_NONPERIODIC] )
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numOfFiles = MAXNUMOFTEMPLATES;
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else if ( (i == TEST_RND_EXCURSION) && testVector[TEST_RND_EXCURSION] )
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numOfFiles = 8;
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else if ( (i == TEST_RND_EXCURSION_VAR) && testVector[TEST_RND_EXCURSION_VAR] )
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numOfFiles = 18;
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else
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numOfFiles = 2;
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for ( k=0; k<numOfFiles; k++ ) {
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if ( k < 10 )
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sprintf(s, "%s\\experiments\\%s\\%s\\data%1d", gLogFilePath.PtrZ(), generatorDir[option], testNames[i], k+1);
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else if ( k < 100 )
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sprintf(s, "%s\\experiments\\%s\\%s\\data%2d", gLogFilePath.PtrZ(), generatorDir[option], testNames[i], k+1);
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else
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sprintf(s, "%s\\experiments\\%s\\%s\\data%3d", gLogFilePath.PtrZ(), generatorDir[option], testNames[i], k+1);
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if ( (i == TEST_RND_EXCURSION) || (i == TEST_RND_EXCURSION_VAR) )
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randomExcursionSampleSize = computeMetrics(s,i);
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else
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generalSampleSize = computeMetrics(s,i);
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}
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}
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else {
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sprintf(s, "%s\\experiments\\%s\\%s\\results", gLogFilePath.PtrZ(), generatorDir[option], testNames[i]);
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generalSampleSize = computeMetrics(s,i);
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}
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}
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}
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fprintf(summary, "\n\n- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -\n");
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case1 = 0;
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case2 = 0;
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if ( testVector[TEST_RND_EXCURSION] || testVector[TEST_RND_EXCURSION_VAR] )
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case2 = 1;
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for ( i=1; i<=NUMOFTESTS; i++ ) {
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if ( testVector[i] && (i != TEST_RND_EXCURSION) && (i != TEST_RND_EXCURSION_VAR) ) {
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case1 = 1;
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break;
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}
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}
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if ( case1 ) {
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if ( generalSampleSize == 0 ) {
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fprintf(summary, "The minimum pass rate for each statistical test with the exception of the\n");
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fprintf(summary, "random excursion (variant) test is undefined.\n\n");
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}
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else {
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passRate = 0.99-3.0*sqrt(0.01*(1.0-ALPHA)/(double)generalSampleSize);
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fprintf(summary, "The minimum pass rate for each statistical test with the exception of the\n");
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fprintf(summary, "random excursion (variant) test is approximately = %f for a\n", generalSampleSize ? passRate : 0.0);
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fprintf(summary, "sample size = %d binary sequences.\n\n", generalSampleSize);
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}
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}
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if ( case2 ) {
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if ( randomExcursionSampleSize == 0 )
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fprintf(summary, "The minimum pass rate for the random excursion (variant) test is undefined.\n\n");
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else {
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passRate = 0.99-3.0*sqrt(0.01*(1.0-ALPHA)/(double)randomExcursionSampleSize);
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fprintf(summary, "The minimum pass rate for the random excursion (variant) test\n");
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fprintf(summary, "is approximately %f for a sample size = %d binary sequences.\n\n", passRate, randomExcursionSampleSize);
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}
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}
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fprintf(summary, "For further guidelines construct a probability table using the MAPLE program\n");
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fprintf(summary, "provided in the addendum section of the documentation.\n");
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fprintf(summary, "- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -\n");
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}
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int
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computeMetrics(char *s, int test)
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{
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int j, pos, count, sampleSize, expCount;
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int freqPerBin[10] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
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double *A = NULL;
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double *T = NULL;
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double chi2, proportion, uniformity;
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float c;
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FILE *fp = NULL;
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if ( (fp = fopen(s, "r")) == NULL ) {
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printf("%s",s);
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printf(" -- file not found. Exiting program.\n");
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exit(-1);
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}
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/* Compute Metric 1: Proportion of Passing Sequences */
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count = 0;
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sampleSize = tp.numOfBitStreams;
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if ( (test == TEST_RND_EXCURSION) || (test == TEST_RND_EXCURSION_VAR) ) { /* Special Case: Random Excursion Tests */
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if ( (T = (double *)calloc(tp.numOfBitStreams, sizeof(double))) == NULL ) {
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printf("Final Analysis Report aborted due to insufficient workspace\n");
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// Perform cleanup before returning
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fclose(fp);
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return 0;
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}
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for ( j=0; j<sampleSize; j++ ) {
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fscanf(fp, "%f", &c);
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if ( c > 0.000000 )
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T[count++] = c;
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}
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if ( (A = (double *)calloc(count, sizeof(double))) == NULL ) {
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printf("Final Analysis Report aborted due to insufficient workspace\n");
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// Perform cleanup before returning
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fclose(fp);
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free(T);
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return 0;
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}
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for ( j=0; j<count; j++ )
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A[j] = T[j];
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sampleSize = count;
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count = 0;
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for ( j=0; j<sampleSize; j++ )
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if ( A[j] < ALPHA )
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count++;
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free(T);
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T = NULL;
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}
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else {
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if ( (A = (double *)calloc(sampleSize, sizeof(double))) == NULL ) {
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printf("Final Analysis Report aborted due to insufficient workspace\n");
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// Perform cleanup before returning
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fclose(fp);
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return 0;
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}
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for ( j=0; j<sampleSize; j++ ) {
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fscanf(fp, "%f", &c);
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if ( c < ALPHA )
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count++;
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A[j] = c;
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}
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}
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if ( sampleSize == 0 )
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proportion = 0.0;
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else
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proportion = 1.0-(double)count/sampleSize;
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/* Compute Metric 2: Histogram */
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qsort((void *)A, sampleSize, sizeof(double), (CompareFnType)cmp);
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for ( j=0; j<sampleSize; j++ ) {
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pos = (int)floor(A[j]*10);
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if ( pos == 10 )
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pos--;
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freqPerBin[pos]++;
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}
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chi2 = 0.0;
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expCount = sampleSize/10;
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379 |
for ( j=0; j<10; j++ )
|
|
380 |
chi2 += pow(freqPerBin[j]-expCount, 2)/expCount;
|
|
381 |
uniformity = cephes_igamc(9.0/2.0, chi2/2.0);
|
|
382 |
|
|
383 |
for ( j=0; j<10; j++ ) /* DISPLAY RESULTS */
|
|
384 |
fprintf(summary, "%3d ", freqPerBin[j]);
|
|
385 |
|
|
386 |
if ( expCount == 0 )
|
|
387 |
fprintf(summary, " ---- ");
|
|
388 |
else if ( uniformity < 0.0001 )
|
|
389 |
fprintf(summary, " %8.6f * ", uniformity);
|
|
390 |
else
|
|
391 |
fprintf(summary, " %8.6f ", uniformity);
|
|
392 |
|
|
393 |
if ( sampleSize == 0 )
|
|
394 |
fprintf(summary, " ---- %s\n", testNames[test]);
|
|
395 |
else if ( proportion < 0.96 )
|
|
396 |
fprintf(summary, "%6.4f * %s\n", proportion, testNames[test]);
|
|
397 |
else
|
|
398 |
fprintf(summary, "%6.4f %s\n", proportion, testNames[test]);
|
|
399 |
|
|
400 |
fclose(fp);
|
|
401 |
free(A);
|
|
402 |
|
|
403 |
return sampleSize;
|
|
404 |
}
|
|
405 |
|
|
406 |
/*
|
|
407 |
Gobal Entry Function
|
|
408 |
*/
|
|
409 |
GLDEF_C TInt E32Main()
|
|
410 |
{
|
|
411 |
__UHEAP_MARK;
|
|
412 |
TInt ret = StartNISTTest();
|
|
413 |
__UHEAP_MARKEND;
|
|
414 |
|
|
415 |
return ret;
|
|
416 |
}
|
|
417 |
|
|
418 |
|
|
419 |
|