/*
* 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.
*/
/* got rid of unused 'k' */
#include "openc.h"
#include "../include/externs.h"
#include "../include/cephes.h"
/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
L O N G E S T R U N S T E S T
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
void
LongestRunOfOnes(int n)
{
double pval, chi2, pi[7];
int run, v_n_obs, N, i, j, K, M, V[7];
unsigned int nu[7] = { 0, 0, 0, 0, 0, 0, 0 };
if ( n < 128 ) {
fprintf(stats[TEST_LONGEST_RUN], "\t\t\t LONGEST RUNS OF ONES TEST\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t n=%d is too short\n", n);
return;
}
if ( n < 6272 ) {
K = 3;
M = 8;
V[0] = 1; V[1] = 2; V[2] = 3; V[3] = 4;
pi[0] = 0.21484375;
pi[1] = 0.3671875;
pi[2] = 0.23046875;
pi[3] = 0.1875;
}
else if ( n < 750000 ) {
K = 5;
M = 128;
V[0] = 4; V[1] = 5; V[2] = 6; V[3] = 7; V[4] = 8; V[5] = 9;
pi[0] = 0.1174035788;
pi[1] = 0.242955959;
pi[2] = 0.249363483;
pi[3] = 0.17517706;
pi[4] = 0.102701071;
pi[5] = 0.112398847;
}
else {
K = 6;
M = 10000;
V[0] = 10; V[1] = 11; V[2] = 12; V[3] = 13; V[4] = 14; V[5] = 15; V[6] = 16;
pi[0] = 0.0882;
pi[1] = 0.2092;
pi[2] = 0.2483;
pi[3] = 0.1933;
pi[4] = 0.1208;
pi[5] = 0.0675;
pi[6] = 0.0727;
}
N = n/M;
for ( i=0; i<N; i++ ) {
v_n_obs = 0;
run = 0;
for ( j=0; j<M; j++ ) {
if ( epsilon[i*M+j] == 1 ) {
run++;
if ( run > v_n_obs )
v_n_obs = run;
}
else
run = 0;
}
if ( v_n_obs < V[0] )
nu[0]++;
for ( j=0; j<=K; j++ ) {
if ( v_n_obs == V[j] )
nu[j]++;
}
if ( v_n_obs > V[K] )
nu[K]++;
}
chi2 = 0.0;
for ( i=0; i<=K; i++ )
chi2 += ((nu[i] - N * pi[i]) * (nu[i] - N * pi[i])) / (N * pi[i]);
pval = cephes_igamc((double)(K/2.0), chi2 / 2.0);
fprintf(stats[TEST_LONGEST_RUN], "\t\t\t LONGEST RUNS OF ONES TEST\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\tCOMPUTATIONAL INFORMATION:\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t(a) N (# of substrings) = %d\n", N);
fprintf(stats[TEST_LONGEST_RUN], "\t\t(b) M (Substring Length) = %d\n", M);
fprintf(stats[TEST_LONGEST_RUN], "\t\t(c) Chi^2 = %f\n", chi2);
fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t F R E Q U E N C Y\n");
fprintf(stats[TEST_LONGEST_RUN], "\t\t---------------------------------------------\n");
if ( K == 3 ) {
fprintf(stats[TEST_LONGEST_RUN], "\t\t <=1 2 3 >=4 P-value Assignment");
fprintf(stats[TEST_LONGEST_RUN], "\n\t\t %3d %3d %3d %3d ", nu[0], nu[1], nu[2], nu[3]);
}
else if ( K == 5 ) {
fprintf(stats[TEST_LONGEST_RUN], "\t\t<=4 5 6 7 8 >=9 P-value Assignment");
fprintf(stats[TEST_LONGEST_RUN], "\n\t\t %3d %3d %3d %3d %3d %3d ", nu[0], nu[1], nu[2],
nu[3], nu[4], nu[5]);
}
else {
fprintf(stats[TEST_LONGEST_RUN],"\t\t<=10 11 12 13 14 15 >=16 P-value Assignment");
fprintf(stats[TEST_LONGEST_RUN],"\n\t\t %3d %3d %3d %3d %3d %3d %3d ", nu[0], nu[1], nu[2],
nu[3], nu[4], nu[5], nu[6]);
}
if ( isNegative(pval) || isGreaterThanOne(pval) )
fprintf(stats[TEST_LONGEST_RUN], "WARNING: P_VALUE IS OUT OF RANGE.\n");
fprintf(stats[TEST_LONGEST_RUN], "%s\t\tp_value = %f\n\n", pval < ALPHA ? "FAILURE" : "SUCCESS", pval);
fprintf(results[TEST_LONGEST_RUN], "%f\n", pval);
}