368 lines
12 KiB
C++
368 lines
12 KiB
C++
#include "test_precomp.hpp"
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using namespace cv;
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using namespace std;
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class Core_RandTest : public cvtest::BaseTest
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{
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public:
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Core_RandTest();
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protected:
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void run(int);
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bool check_pdf(const Mat& hist, double scale, int dist_type,
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double& refval, double& realval);
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};
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Core_RandTest::Core_RandTest()
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{
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}
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static double chi2_p95(int n)
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{
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static float chi2_tab95[] = {
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3.841f, 5.991f, 7.815f, 9.488f, 11.07f, 12.59f, 14.07f, 15.51f,
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16.92f, 18.31f, 19.68f, 21.03f, 21.03f, 22.36f, 23.69f, 25.00f,
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26.30f, 27.59f, 28.87f, 30.14f, 31.41f, 32.67f, 33.92f, 35.17f,
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36.42f, 37.65f, 38.89f, 40.11f, 41.34f, 42.56f, 43.77f };
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static const double xp = 1.64;
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CV_Assert(n >= 1);
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if( n <= 30 )
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return chi2_tab95[n-1];
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return n + sqrt((double)2*n)*xp + 0.6666666666666*(xp*xp - 1);
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}
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bool Core_RandTest::check_pdf(const Mat& hist, double scale,
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int dist_type, double& refval, double& realval)
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{
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Mat hist0(hist.size(), CV_32F);
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const int* H = (const int*)hist.data;
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float* H0 = ((float*)hist0.data);
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int i, hsz = hist.cols;
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double sum = 0;
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for( i = 0; i < hsz; i++ )
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sum += H[i];
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CV_Assert( fabs(1./sum - scale) < FLT_EPSILON );
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if( dist_type == CV_RAND_UNI )
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{
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float scale0 = (float)(1./hsz);
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for( i = 0; i < hsz; i++ )
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H0[i] = scale0;
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}
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else
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{
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double sum2 = 0, r = (hsz-1.)/2;
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double alpha = 2*sqrt(2.)/r, beta = -alpha*r;
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for( i = 0; i < hsz; i++ )
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{
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double x = i*alpha + beta;
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H0[i] = (float)exp(-x*x);
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sum2 += H0[i];
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}
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sum2 = 1./sum2;
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for( i = 0; i < hsz; i++ )
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H0[i] = (float)(H0[i]*sum2);
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}
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double chi2 = 0;
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for( i = 0; i < hsz; i++ )
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{
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double a = H0[i];
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double b = H[i]*scale;
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if( a > DBL_EPSILON )
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chi2 += (a - b)*(a - b)/(a + b);
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}
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realval = chi2;
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double chi2_pval = chi2_p95(hsz - 1 - (dist_type == CV_RAND_NORMAL ? 2 : 0));
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refval = chi2_pval*0.01;
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return realval <= refval;
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}
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void Core_RandTest::run( int )
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{
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static int _ranges[][2] =
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{{ 0, 256 }, { -128, 128 }, { 0, 65536 }, { -32768, 32768 },
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{ -1000000, 1000000 }, { -1000, 1000 }, { -1000, 1000 }};
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const int MAX_SDIM = 10;
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const int N = 2000000;
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const int maxSlice = 1000;
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const int MAX_HIST_SIZE = 1000;
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int progress = 0;
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RNG& rng = ts->get_rng();
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RNG tested_rng = theRNG();
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test_case_count = 200;
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for( int idx = 0; idx < test_case_count; idx++ )
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{
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progress = update_progress( progress, idx, test_case_count, 0 );
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ts->update_context( this, idx, false );
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int depth = cvtest::randInt(rng) % (CV_64F+1);
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int c, cn = (cvtest::randInt(rng) % 4) + 1;
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int type = CV_MAKETYPE(depth, cn);
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int dist_type = cvtest::randInt(rng) % (CV_RAND_NORMAL+1);
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int i, k, SZ = N/cn;
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Scalar A, B;
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double eps = 1.e-4;
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if (depth == CV_64F)
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eps = 1.e-7;
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bool do_sphere_test = dist_type == CV_RAND_UNI;
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Mat arr[2], hist[4];
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int W[] = {0,0,0,0};
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arr[0].create(1, SZ, type);
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arr[1].create(1, SZ, type);
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bool fast_algo = dist_type == CV_RAND_UNI && depth < CV_32F;
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for( c = 0; c < cn; c++ )
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{
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int a, b, hsz;
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if( dist_type == CV_RAND_UNI )
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{
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a = (int)(cvtest::randInt(rng) % (_ranges[depth][1] -
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_ranges[depth][0])) + _ranges[depth][0];
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do
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{
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b = (int)(cvtest::randInt(rng) % (_ranges[depth][1] -
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_ranges[depth][0])) + _ranges[depth][0];
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}
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while( abs(a-b) <= 1 );
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if( a > b )
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std::swap(a, b);
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unsigned r = (unsigned)(b - a);
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fast_algo = fast_algo && r <= 256 && (r & (r-1)) == 0;
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hsz = min((unsigned)(b - a), (unsigned)MAX_HIST_SIZE);
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do_sphere_test = do_sphere_test && b - a >= 100;
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}
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else
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{
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int vrange = _ranges[depth][1] - _ranges[depth][0];
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int meanrange = vrange/16;
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int mindiv = MAX(vrange/20, 5);
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int maxdiv = MIN(vrange/8, 10000);
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a = cvtest::randInt(rng) % meanrange - meanrange/2 +
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(_ranges[depth][0] + _ranges[depth][1])/2;
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b = cvtest::randInt(rng) % (maxdiv - mindiv) + mindiv;
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hsz = min((unsigned)b*9, (unsigned)MAX_HIST_SIZE);
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}
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A[c] = a;
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B[c] = b;
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hist[c].create(1, hsz, CV_32S);
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}
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cv::RNG saved_rng = tested_rng;
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int maxk = fast_algo ? 0 : 1;
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for( k = 0; k <= maxk; k++ )
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{
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tested_rng = saved_rng;
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int sz = 0, dsz = 0, slice;
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for( slice = 0; slice < maxSlice; slice++, sz += dsz )
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{
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dsz = slice+1 < maxSlice ? (int)(cvtest::randInt(rng) % (SZ - sz + 1)) : SZ - sz;
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Mat aslice = arr[k].colRange(sz, sz + dsz);
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tested_rng.fill(aslice, dist_type, A, B);
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}
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}
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if( maxk >= 1 && norm(arr[0], arr[1], NORM_INF) > eps)
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{
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ts->printf( cvtest::TS::LOG, "RNG output depends on the array lengths (some generated numbers get lost?)" );
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ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
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return;
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}
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for( c = 0; c < cn; c++ )
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{
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const uchar* data = arr[0].data;
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int* H = hist[c].ptr<int>();
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int HSZ = hist[c].cols;
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double minVal = dist_type == CV_RAND_UNI ? A[c] : A[c] - B[c]*4;
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double maxVal = dist_type == CV_RAND_UNI ? B[c] : A[c] + B[c]*4;
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double scale = HSZ/(maxVal - minVal);
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double delta = -minVal*scale;
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hist[c] = Scalar::all(0);
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for( i = c; i < SZ*cn; i += cn )
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{
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double val = depth == CV_8U ? ((const uchar*)data)[i] :
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depth == CV_8S ? ((const schar*)data)[i] :
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depth == CV_16U ? ((const ushort*)data)[i] :
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depth == CV_16S ? ((const short*)data)[i] :
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depth == CV_32S ? ((const int*)data)[i] :
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depth == CV_32F ? ((const float*)data)[i] :
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((const double*)data)[i];
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int ival = cvFloor(val*scale + delta);
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if( (unsigned)ival < (unsigned)HSZ )
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{
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H[ival]++;
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W[c]++;
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}
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else if( dist_type == CV_RAND_UNI )
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{
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if( (minVal <= val && val < maxVal) || (depth >= CV_32F && val == maxVal) )
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{
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H[ival < 0 ? 0 : HSZ-1]++;
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W[c]++;
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}
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else
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{
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putchar('^');
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}
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}
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}
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if( dist_type == CV_RAND_UNI && W[c] != SZ )
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{
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ts->printf( cvtest::TS::LOG, "Uniform RNG gave values out of the range [%g,%g) on channel %d/%d\n",
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A[c], B[c], c, cn);
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ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
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return;
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}
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if( dist_type == CV_RAND_NORMAL && W[c] < SZ*.90)
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{
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ts->printf( cvtest::TS::LOG, "Normal RNG gave too many values out of the range (%g+4*%g,%g+4*%g) on channel %d/%d\n",
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A[c], B[c], A[c], B[c], c, cn);
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ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
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return;
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}
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double refval = 0, realval = 0;
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if( !check_pdf(hist[c], 1./W[c], dist_type, refval, realval) )
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{
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ts->printf( cvtest::TS::LOG, "RNG failed Chi-square test "
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"(got %g vs probable maximum %g) on channel %d/%d\n",
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realval, refval, c, cn);
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ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
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return;
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}
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}
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// Monte-Carlo test. Compute volume of SDIM-dimensional sphere
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// inscribed in [-1,1]^SDIM cube.
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if( do_sphere_test )
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{
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int SDIM = cvtest::randInt(rng) % (MAX_SDIM-1) + 2;
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int N0 = (SZ*cn/SDIM), n = 0;
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double r2 = 0;
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const uchar* data = arr[0].data;
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double scale[4], delta[4];
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for( c = 0; c < cn; c++ )
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{
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scale[c] = 2./(B[c] - A[c]);
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delta[c] = -A[c]*scale[c] - 1;
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}
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for( i = k = c = 0; i <= SZ*cn - SDIM; i++, k++, c++ )
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{
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double val = depth == CV_8U ? ((const uchar*)data)[i] :
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depth == CV_8S ? ((const schar*)data)[i] :
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depth == CV_16U ? ((const ushort*)data)[i] :
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depth == CV_16S ? ((const short*)data)[i] :
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depth == CV_32S ? ((const int*)data)[i] :
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depth == CV_32F ? ((const float*)data)[i] : ((const double*)data)[i];
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c &= c < cn ? -1 : 0;
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val = val*scale[c] + delta[c];
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r2 += val*val;
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if( k == SDIM-1 )
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{
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n += r2 <= 1;
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r2 = 0;
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k = -1;
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}
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}
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double V = ((double)n/N0)*(1 << SDIM);
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// the theoretically computed volume
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int sdim = SDIM % 2;
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double V0 = sdim + 1;
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for( sdim += 2; sdim <= SDIM; sdim += 2 )
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V0 *= 2*CV_PI/sdim;
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if( fabs(V - V0) > 0.3*fabs(V0) )
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{
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ts->printf( cvtest::TS::LOG, "RNG failed %d-dim sphere volume test (got %g instead of %g)\n",
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SDIM, V, V0);
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ts->printf( cvtest::TS::LOG, "depth = %d, N0 = %d\n", depth, N0);
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ts->set_failed_test_info( cvtest::TS::FAIL_INVALID_OUTPUT );
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return;
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}
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}
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}
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}
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TEST(Core_Rand, quality) { Core_RandTest test; test.safe_run(); }
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class Core_RandRangeTest : public cvtest::BaseTest
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{
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public:
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Core_RandRangeTest() {}
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~Core_RandRangeTest() {}
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protected:
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void run(int)
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{
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Mat a(Size(1280, 720), CV_8U, Scalar(20));
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Mat af(Size(1280, 720), CV_32F, Scalar(20));
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theRNG().fill(a, RNG::UNIFORM, -DBL_MAX, DBL_MAX);
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theRNG().fill(af, RNG::UNIFORM, -DBL_MAX, DBL_MAX);
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int n0 = 0, n255 = 0, nx = 0;
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int nfmin = 0, nfmax = 0, nfx = 0;
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for( int i = 0; i < a.rows; i++ )
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for( int j = 0; j < a.cols; j++ )
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{
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int v = a.at<uchar>(i,j);
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double vf = af.at<float>(i,j);
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if( v == 0 ) n0++;
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else if( v == 255 ) n255++;
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else nx++;
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if( vf < FLT_MAX*-0.999f ) nfmin++;
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else if( vf > FLT_MAX*0.999f ) nfmax++;
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else nfx++;
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}
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CV_Assert( n0 > nx*2 && n255 > nx*2 );
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CV_Assert( nfmin > nfx*2 && nfmax > nfx*2 );
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}
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};
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TEST(Core_Rand, range) { Core_RandRangeTest test; test.safe_run(); }
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TEST(Core_RNG_MT19937, regression)
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{
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cv::RNG_MT19937 rng;
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int actual[61] = {0, };
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const size_t length = (sizeof(actual) / sizeof(actual[0]));
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for (int i = 0; i < 10000; ++i )
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{
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actual[(unsigned)(rng.next() ^ i) % length]++;
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}
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int expected[length] = {
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177, 158, 180, 177, 160, 179, 143, 162,
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177, 144, 170, 174, 165, 168, 168, 156,
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177, 157, 159, 169, 177, 182, 166, 154,
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144, 180, 168, 152, 170, 187, 160, 145,
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139, 164, 157, 179, 148, 183, 159, 160,
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196, 184, 149, 142, 162, 148, 163, 152,
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168, 173, 160, 181, 172, 181, 155, 153,
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158, 171, 138, 150, 150 };
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for (size_t i = 0; i < length; ++i)
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{
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ASSERT_EQ(expected[i], actual[i]);
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}
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}
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