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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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* The original NIST Statistical Test Suite code is placed in public domain.
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* (http://csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html)
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*
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* This software was developed at the National Institute of Standards and Technology by
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* employees of the Federal Government in the course of their official duties. Pursuant
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* to title 17 Section 105 of the United States Code this software is not subject to
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* copyright protection and is in the public domain. The NIST Statistical Test Suite is
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* an experimental system. NIST assumes no responsibility whatsoever for its use by other
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* parties, and makes no guarantees, expressed or implied, about its quality, reliability,
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* or any other characteristic. We would appreciate acknowledgment if the software is used.
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*/
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/* got rid of unused 'k' */
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#include "openc.h"
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#include "../include/externs.h"
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#include "../include/cephes.h"
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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
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L O N G E S T R U N S T E S T
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* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
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void
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LongestRunOfOnes(int n)
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{
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double pval, chi2, pi[7];
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int run, v_n_obs, N, i, j, K, M, V[7];
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unsigned int nu[7] = { 0, 0, 0, 0, 0, 0, 0 };
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if ( n < 128 ) {
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fprintf(stats[TEST_LONGEST_RUN], "\t\t\t LONGEST RUNS OF ONES TEST\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t n=%d is too short\n", n);
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return;
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}
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if ( n < 6272 ) {
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K = 3;
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M = 8;
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V[0] = 1; V[1] = 2; V[2] = 3; V[3] = 4;
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pi[0] = 0.21484375;
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pi[1] = 0.3671875;
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pi[2] = 0.23046875;
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pi[3] = 0.1875;
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}
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else if ( n < 750000 ) {
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K = 5;
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M = 128;
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V[0] = 4; V[1] = 5; V[2] = 6; V[3] = 7; V[4] = 8; V[5] = 9;
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pi[0] = 0.1174035788;
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pi[1] = 0.242955959;
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pi[2] = 0.249363483;
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pi[3] = 0.17517706;
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pi[4] = 0.102701071;
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pi[5] = 0.112398847;
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}
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else {
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K = 6;
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M = 10000;
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V[0] = 10; V[1] = 11; V[2] = 12; V[3] = 13; V[4] = 14; V[5] = 15; V[6] = 16;
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pi[0] = 0.0882;
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pi[1] = 0.2092;
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pi[2] = 0.2483;
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pi[3] = 0.1933;
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pi[4] = 0.1208;
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pi[5] = 0.0675;
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pi[6] = 0.0727;
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}
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N = n/M;
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for ( i=0; i<N; i++ ) {
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v_n_obs = 0;
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run = 0;
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for ( j=0; j<M; j++ ) {
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if ( epsilon[i*M+j] == 1 ) {
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run++;
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if ( run > v_n_obs )
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v_n_obs = run;
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}
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else
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run = 0;
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}
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if ( v_n_obs < V[0] )
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nu[0]++;
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for ( j=0; j<=K; j++ ) {
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if ( v_n_obs == V[j] )
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nu[j]++;
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}
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if ( v_n_obs > V[K] )
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nu[K]++;
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}
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chi2 = 0.0;
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for ( i=0; i<=K; i++ )
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chi2 += ((nu[i] - N * pi[i]) * (nu[i] - N * pi[i])) / (N * pi[i]);
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pval = cephes_igamc((double)(K/2.0), chi2 / 2.0);
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fprintf(stats[TEST_LONGEST_RUN], "\t\t\t LONGEST RUNS OF ONES TEST\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\tCOMPUTATIONAL INFORMATION:\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t(a) N (# of substrings) = %d\n", N);
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fprintf(stats[TEST_LONGEST_RUN], "\t\t(b) M (Substring Length) = %d\n", M);
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fprintf(stats[TEST_LONGEST_RUN], "\t\t(c) Chi^2 = %f\n", chi2);
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fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t F R E Q U E N C Y\n");
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fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
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if ( K == 3 ) {
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fprintf(stats[TEST_LONGEST_RUN], "\t\t <=1 2 3 >=4 P-value Assignment");
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fprintf(stats[TEST_LONGEST_RUN], "\n\t\t %3d %3d %3d %3d ", nu[0], nu[1], nu[2], nu[3]);
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}
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else if ( K == 5 ) {
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fprintf(stats[TEST_LONGEST_RUN], "\t\t<=4 5 6 7 8 >=9 P-value Assignment");
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fprintf(stats[TEST_LONGEST_RUN], "\n\t\t %3d %3d %3d %3d %3d %3d ", nu[0], nu[1], nu[2],
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nu[3], nu[4], nu[5]);
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}
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else {
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fprintf(stats[TEST_LONGEST_RUN],"\t\t<=10 11 12 13 14 15 >=16 P-value Assignment");
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fprintf(stats[TEST_LONGEST_RUN],"\n\t\t %3d %3d %3d %3d %3d %3d %3d ", nu[0], nu[1], nu[2],
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nu[3], nu[4], nu[5], nu[6]);
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}
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if ( isNegative(pval) || isGreaterThanOne(pval) )
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fprintf(stats[TEST_LONGEST_RUN], "WARNING: P_VALUE IS OUT OF RANGE.\n");
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fprintf(stats[TEST_LONGEST_RUN], "%s\t\tp_value = %f\n\n", pval < ALPHA ? "FAILURE" : "SUCCESS", pval);
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fprintf(results[TEST_LONGEST_RUN], "%f\n", pval);
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}
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