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https://github.com/opencv/opencv.git
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2112aa31e6
* Convert moments in tile algorithms to HAL (1.3x faster for VSX). * Adding NEON code back in for non 64-bit platforms. * Remove floats from post processing.
808 lines
24 KiB
C++
808 lines
24 KiB
C++
/*M///////////////////////////////////////////////////////////////////////////////////////
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//
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// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
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//
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// By downloading, copying, installing or using the software you agree to this license.
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// If you do not agree to this license, do not download, install,
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// copy or use the software.
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//
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//
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// Intel License Agreement
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// For Open Source Computer Vision Library
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//
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// Copyright (C) 2000, Intel Corporation, all rights reserved.
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// Third party copyrights are property of their respective owners.
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//
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// Redistribution and use in source and binary forms, with or without modification,
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// are permitted provided that the following conditions are met:
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//
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// * Redistribution's of source code must retain the above copyright notice,
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// this list of conditions and the following disclaimer.
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//
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// * Redistribution's in binary form must reproduce the above copyright notice,
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// this list of conditions and the following disclaimer in the documentation
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// and/or other materials provided with the distribution.
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//
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// * The name of Intel Corporation may not be used to endorse or promote products
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// derived from this software without specific prior written permission.
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//
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// This software is provided by the copyright holders and contributors "as is" and
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// any express or implied warranties, including, but not limited to, the implied
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// warranties of merchantability and fitness for a particular purpose are disclaimed.
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// In no event shall the Intel Corporation or contributors be liable for any direct,
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// indirect, incidental, special, exemplary, or consequential damages
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// (including, but not limited to, procurement of substitute goods or services;
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// loss of use, data, or profits; or business interruption) however caused
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// and on any theory of liability, whether in contract, strict liability,
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// or tort (including negligence or otherwise) arising in any way out of
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// the use of this software, even if advised of the possibility of such damage.
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//
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//M*/
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#include "precomp.hpp"
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#include "opencl_kernels_imgproc.hpp"
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#include "opencv2/core/hal/intrin.hpp"
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namespace cv
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{
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// The function calculates center of gravity and the central second order moments
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static void completeMomentState( Moments* moments )
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{
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double cx = 0, cy = 0;
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double mu20, mu11, mu02;
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double inv_m00 = 0.0;
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assert( moments != 0 );
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if( fabs(moments->m00) > DBL_EPSILON )
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{
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inv_m00 = 1. / moments->m00;
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cx = moments->m10 * inv_m00;
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cy = moments->m01 * inv_m00;
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}
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// mu20 = m20 - m10*cx
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mu20 = moments->m20 - moments->m10 * cx;
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// mu11 = m11 - m10*cy
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mu11 = moments->m11 - moments->m10 * cy;
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// mu02 = m02 - m01*cy
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mu02 = moments->m02 - moments->m01 * cy;
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moments->mu20 = mu20;
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moments->mu11 = mu11;
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moments->mu02 = mu02;
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// mu30 = m30 - cx*(3*mu20 + cx*m10)
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moments->mu30 = moments->m30 - cx * (3 * mu20 + cx * moments->m10);
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mu11 += mu11;
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// mu21 = m21 - cx*(2*mu11 + cx*m01) - cy*mu20
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moments->mu21 = moments->m21 - cx * (mu11 + cx * moments->m01) - cy * mu20;
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// mu12 = m12 - cy*(2*mu11 + cy*m10) - cx*mu02
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moments->mu12 = moments->m12 - cy * (mu11 + cy * moments->m10) - cx * mu02;
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// mu03 = m03 - cy*(3*mu02 + cy*m01)
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moments->mu03 = moments->m03 - cy * (3 * mu02 + cy * moments->m01);
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double inv_sqrt_m00 = std::sqrt(std::abs(inv_m00));
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double s2 = inv_m00*inv_m00, s3 = s2*inv_sqrt_m00;
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moments->nu20 = moments->mu20*s2; moments->nu11 = moments->mu11*s2; moments->nu02 = moments->mu02*s2;
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moments->nu30 = moments->mu30*s3; moments->nu21 = moments->mu21*s3; moments->nu12 = moments->mu12*s3; moments->nu03 = moments->mu03*s3;
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}
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static Moments contourMoments( const Mat& contour )
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{
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Moments m;
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int lpt = contour.checkVector(2);
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int is_float = contour.depth() == CV_32F;
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const Point* ptsi = contour.ptr<Point>();
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const Point2f* ptsf = contour.ptr<Point2f>();
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CV_Assert( contour.depth() == CV_32S || contour.depth() == CV_32F );
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if( lpt == 0 )
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return m;
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double a00 = 0, a10 = 0, a01 = 0, a20 = 0, a11 = 0, a02 = 0, a30 = 0, a21 = 0, a12 = 0, a03 = 0;
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double xi, yi, xi2, yi2, xi_1, yi_1, xi_12, yi_12, dxy, xii_1, yii_1;
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if( !is_float )
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{
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xi_1 = ptsi[lpt-1].x;
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yi_1 = ptsi[lpt-1].y;
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}
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else
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{
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xi_1 = ptsf[lpt-1].x;
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yi_1 = ptsf[lpt-1].y;
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}
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xi_12 = xi_1 * xi_1;
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yi_12 = yi_1 * yi_1;
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for( int i = 0; i < lpt; i++ )
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{
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if( !is_float )
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{
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xi = ptsi[i].x;
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yi = ptsi[i].y;
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}
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else
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{
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xi = ptsf[i].x;
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yi = ptsf[i].y;
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}
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xi2 = xi * xi;
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yi2 = yi * yi;
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dxy = xi_1 * yi - xi * yi_1;
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xii_1 = xi_1 + xi;
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yii_1 = yi_1 + yi;
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a00 += dxy;
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a10 += dxy * xii_1;
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a01 += dxy * yii_1;
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a20 += dxy * (xi_1 * xii_1 + xi2);
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a11 += dxy * (xi_1 * (yii_1 + yi_1) + xi * (yii_1 + yi));
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a02 += dxy * (yi_1 * yii_1 + yi2);
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a30 += dxy * xii_1 * (xi_12 + xi2);
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a03 += dxy * yii_1 * (yi_12 + yi2);
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a21 += dxy * (xi_12 * (3 * yi_1 + yi) + 2 * xi * xi_1 * yii_1 +
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xi2 * (yi_1 + 3 * yi));
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a12 += dxy * (yi_12 * (3 * xi_1 + xi) + 2 * yi * yi_1 * xii_1 +
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yi2 * (xi_1 + 3 * xi));
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xi_1 = xi;
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yi_1 = yi;
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xi_12 = xi2;
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yi_12 = yi2;
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}
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if( fabs(a00) > FLT_EPSILON )
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{
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double db1_2, db1_6, db1_12, db1_24, db1_20, db1_60;
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if( a00 > 0 )
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{
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db1_2 = 0.5;
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db1_6 = 0.16666666666666666666666666666667;
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db1_12 = 0.083333333333333333333333333333333;
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db1_24 = 0.041666666666666666666666666666667;
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db1_20 = 0.05;
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db1_60 = 0.016666666666666666666666666666667;
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}
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else
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{
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db1_2 = -0.5;
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db1_6 = -0.16666666666666666666666666666667;
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db1_12 = -0.083333333333333333333333333333333;
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db1_24 = -0.041666666666666666666666666666667;
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db1_20 = -0.05;
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db1_60 = -0.016666666666666666666666666666667;
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}
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// spatial moments
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m.m00 = a00 * db1_2;
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m.m10 = a10 * db1_6;
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m.m01 = a01 * db1_6;
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m.m20 = a20 * db1_12;
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m.m11 = a11 * db1_24;
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m.m02 = a02 * db1_12;
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m.m30 = a30 * db1_20;
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m.m21 = a21 * db1_60;
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m.m12 = a12 * db1_60;
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m.m03 = a03 * db1_20;
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completeMomentState( &m );
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}
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return m;
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}
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/****************************************************************************************\
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* Spatial Raster Moments *
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\****************************************************************************************/
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template<typename T, typename WT, typename MT>
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struct MomentsInTile_SIMD
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{
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int operator() (const T *, int, WT &, WT &, WT &, MT &)
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{
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return 0;
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}
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};
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#if CV_SIMD128
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template <>
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struct MomentsInTile_SIMD<uchar, int, int>
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{
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MomentsInTile_SIMD()
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{
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// nothing
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}
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int operator() (const uchar * ptr, int len, int & x0, int & x1, int & x2, int & x3)
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{
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int x = 0;
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{
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v_int16x8 dx = v_setall_s16(8), qx = v_int16x8(0, 1, 2, 3, 4, 5, 6, 7);
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v_uint32x4 z = v_setzero_u32(), qx0 = z, qx1 = z, qx2 = z, qx3 = z;
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for( ; x <= len - 8; x += 8 )
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{
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v_int16x8 p = v_reinterpret_as_s16(v_load_expand(ptr + x));
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v_int16x8 sx = v_mul_wrap(qx, qx);
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qx0 += v_reinterpret_as_u32(p);
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qx1 = v_reinterpret_as_u32(v_dotprod(p, qx, v_reinterpret_as_s32(qx1)));
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qx2 = v_reinterpret_as_u32(v_dotprod(p, sx, v_reinterpret_as_s32(qx2)));
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qx3 = v_reinterpret_as_u32(v_dotprod(v_mul_wrap(p, qx), sx, v_reinterpret_as_s32(qx3)));
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qx += dx;
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}
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x0 = v_reduce_sum(qx0);
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x0 = (x0 & 0xffff) + (x0 >> 16);
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x1 = v_reduce_sum(qx1);
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x2 = v_reduce_sum(qx2);
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x3 = v_reduce_sum(qx3);
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}
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return x;
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}
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};
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template <>
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struct MomentsInTile_SIMD<ushort, int, int64>
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{
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MomentsInTile_SIMD()
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{
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// nothing
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}
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int operator() (const ushort * ptr, int len, int & x0, int & x1, int & x2, int64 & x3)
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{
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int x = 0;
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{
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v_int32x4 v_delta = v_setall_s32(4), v_ix0 = v_int32x4(0, 1, 2, 3);
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v_uint32x4 z = v_setzero_u32(), v_x0 = z, v_x1 = z, v_x2 = z;
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v_uint64x2 v_x3 = v_reinterpret_as_u64(z);
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for( ; x <= len - 4; x += 4 )
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{
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v_int32x4 v_src = v_reinterpret_as_s32(v_load_expand(ptr + x));
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v_x0 += v_reinterpret_as_u32(v_src);
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v_x1 += v_reinterpret_as_u32(v_src * v_ix0);
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v_int32x4 v_ix1 = v_ix0 * v_ix0;
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v_x2 += v_reinterpret_as_u32(v_src * v_ix1);
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v_ix1 = v_ix0 * v_ix1;
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v_src = v_src * v_ix1;
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v_uint64x2 v_lo, v_hi;
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v_expand(v_reinterpret_as_u32(v_src), v_lo, v_hi);
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v_x3 += v_lo + v_hi;
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v_ix0 += v_delta;
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}
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x0 = v_reduce_sum(v_x0);
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x1 = v_reduce_sum(v_x1);
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x2 = v_reduce_sum(v_x2);
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v_store_aligned(buf64, v_reinterpret_as_s64(v_x3));
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x3 = buf64[0] + buf64[1];
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}
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return x;
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}
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int64 CV_DECL_ALIGNED(16) buf64[2];
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};
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#endif
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template<typename T, typename WT, typename MT>
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#if defined __GNUC__ && __GNUC__ == 4 && __GNUC_MINOR__ >= 5 && __GNUC_MINOR__ < 9
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// Workaround for http://gcc.gnu.org/bugzilla/show_bug.cgi?id=60196
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__attribute__((optimize("no-tree-vectorize")))
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#endif
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static void momentsInTile( const Mat& img, double* moments )
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{
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Size size = img.size();
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int x, y;
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MT mom[10] = {0,0,0,0,0,0,0,0,0,0};
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MomentsInTile_SIMD<T, WT, MT> vop;
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for( y = 0; y < size.height; y++ )
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{
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const T* ptr = img.ptr<T>(y);
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WT x0 = 0, x1 = 0, x2 = 0;
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MT x3 = 0;
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x = vop(ptr, size.width, x0, x1, x2, x3);
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for( ; x < size.width; x++ )
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{
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WT p = ptr[x];
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WT xp = x * p, xxp;
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x0 += p;
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x1 += xp;
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xxp = xp * x;
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x2 += xxp;
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x3 += xxp * x;
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}
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WT py = y * x0, sy = y*y;
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mom[9] += ((MT)py) * sy; // m03
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mom[8] += ((MT)x1) * sy; // m12
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mom[7] += ((MT)x2) * y; // m21
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mom[6] += x3; // m30
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mom[5] += x0 * sy; // m02
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mom[4] += x1 * y; // m11
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mom[3] += x2; // m20
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mom[2] += py; // m01
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mom[1] += x1; // m10
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mom[0] += x0; // m00
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}
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for( x = 0; x < 10; x++ )
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moments[x] = (double)mom[x];
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}
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typedef void (*MomentsInTileFunc)(const Mat& img, double* moments);
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Moments::Moments()
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{
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m00 = m10 = m01 = m20 = m11 = m02 = m30 = m21 = m12 = m03 =
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mu20 = mu11 = mu02 = mu30 = mu21 = mu12 = mu03 =
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nu20 = nu11 = nu02 = nu30 = nu21 = nu12 = nu03 = 0.;
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}
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Moments::Moments( double _m00, double _m10, double _m01, double _m20, double _m11,
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double _m02, double _m30, double _m21, double _m12, double _m03 )
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{
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m00 = _m00; m10 = _m10; m01 = _m01;
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m20 = _m20; m11 = _m11; m02 = _m02;
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m30 = _m30; m21 = _m21; m12 = _m12; m03 = _m03;
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double cx = 0, cy = 0, inv_m00 = 0;
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if( std::abs(m00) > DBL_EPSILON )
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{
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inv_m00 = 1./m00;
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cx = m10*inv_m00; cy = m01*inv_m00;
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}
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mu20 = m20 - m10*cx;
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mu11 = m11 - m10*cy;
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mu02 = m02 - m01*cy;
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mu30 = m30 - cx*(3*mu20 + cx*m10);
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mu21 = m21 - cx*(2*mu11 + cx*m01) - cy*mu20;
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mu12 = m12 - cy*(2*mu11 + cy*m10) - cx*mu02;
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mu03 = m03 - cy*(3*mu02 + cy*m01);
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double inv_sqrt_m00 = std::sqrt(std::abs(inv_m00));
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double s2 = inv_m00*inv_m00, s3 = s2*inv_sqrt_m00;
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nu20 = mu20*s2; nu11 = mu11*s2; nu02 = mu02*s2;
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nu30 = mu30*s3; nu21 = mu21*s3; nu12 = mu12*s3; nu03 = mu03*s3;
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}
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#ifdef HAVE_OPENCL
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static bool ocl_moments( InputArray _src, Moments& m, bool binary)
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{
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const int TILE_SIZE = 32;
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const int K = 10;
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Size sz = _src.getSz();
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int xtiles = divUp(sz.width, TILE_SIZE);
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int ytiles = divUp(sz.height, TILE_SIZE);
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int ntiles = xtiles*ytiles;
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if (ntiles == 0)
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return false;
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ocl::Kernel k = ocl::Kernel("moments", ocl::imgproc::moments_oclsrc,
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format("-D TILE_SIZE=%d%s",
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TILE_SIZE,
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binary ? " -D OP_MOMENTS_BINARY" : ""));
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if( k.empty() )
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return false;
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UMat src = _src.getUMat();
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UMat umbuf(1, ntiles*K, CV_32S);
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size_t globalsize[] = {(size_t)xtiles, std::max((size_t)TILE_SIZE, (size_t)sz.height)};
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size_t localsize[] = {1, TILE_SIZE};
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bool ok = k.args(ocl::KernelArg::ReadOnly(src),
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ocl::KernelArg::PtrWriteOnly(umbuf),
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xtiles).run(2, globalsize, localsize, true);
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if(!ok)
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return false;
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Mat mbuf = umbuf.getMat(ACCESS_READ);
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for( int i = 0; i < ntiles; i++ )
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{
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double x = (i % xtiles)*TILE_SIZE, y = (i / xtiles)*TILE_SIZE;
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const int* mom = mbuf.ptr<int>() + i*K;
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double xm = x * mom[0], ym = y * mom[0];
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// accumulate moments computed in each tile
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// + m00 ( = m00' )
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m.m00 += mom[0];
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// + m10 ( = m10' + x*m00' )
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m.m10 += mom[1] + xm;
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// + m01 ( = m01' + y*m00' )
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m.m01 += mom[2] + ym;
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// + m20 ( = m20' + 2*x*m10' + x*x*m00' )
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m.m20 += mom[3] + x * (mom[1] * 2 + xm);
|
|
|
|
// + m11 ( = m11' + x*m01' + y*m10' + x*y*m00' )
|
|
m.m11 += mom[4] + x * (mom[2] + ym) + y * mom[1];
|
|
|
|
// + m02 ( = m02' + 2*y*m01' + y*y*m00' )
|
|
m.m02 += mom[5] + y * (mom[2] * 2 + ym);
|
|
|
|
// + m30 ( = m30' + 3*x*m20' + 3*x*x*m10' + x*x*x*m00' )
|
|
m.m30 += mom[6] + x * (3. * mom[3] + x * (3. * mom[1] + xm));
|
|
|
|
// + m21 ( = m21' + x*(2*m11' + 2*y*m10' + x*m01' + x*y*m00') + y*m20')
|
|
m.m21 += mom[7] + x * (2 * (mom[4] + y * mom[1]) + x * (mom[2] + ym)) + y * mom[3];
|
|
|
|
// + m12 ( = m12' + y*(2*m11' + 2*x*m01' + y*m10' + x*y*m00') + x*m02')
|
|
m.m12 += mom[8] + y * (2 * (mom[4] + x * mom[2]) + y * (mom[1] + xm)) + x * mom[5];
|
|
|
|
// + m03 ( = m03' + 3*y*m02' + 3*y*y*m01' + y*y*y*m00' )
|
|
m.m03 += mom[9] + y * (3. * mom[5] + y * (3. * mom[2] + ym));
|
|
}
|
|
|
|
completeMomentState( &m );
|
|
|
|
return true;
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifdef HAVE_IPP
|
|
typedef IppStatus (CV_STDCALL * ippiMoments)(const void* pSrc, int srcStep, IppiSize roiSize, IppiMomentState_64f* pCtx);
|
|
|
|
static bool ipp_moments(Mat &src, Moments &m )
|
|
{
|
|
#if IPP_VERSION_X100 >= 900
|
|
CV_INSTRUMENT_REGION_IPP();
|
|
|
|
#if IPP_VERSION_X100 < 201801
|
|
// Degradations for CV_8UC1
|
|
if(src.type() == CV_8UC1)
|
|
return false;
|
|
#endif
|
|
|
|
IppiSize roi = { src.cols, src.rows };
|
|
IppiPoint point = { 0, 0 };
|
|
int type = src.type();
|
|
IppStatus ippStatus;
|
|
|
|
IppAutoBuffer<IppiMomentState_64f> state;
|
|
int stateSize = 0;
|
|
|
|
ippiMoments ippiMoments64f =
|
|
(type == CV_8UC1)?(ippiMoments)ippiMoments64f_8u_C1R:
|
|
(type == CV_16UC1)?(ippiMoments)ippiMoments64f_16u_C1R:
|
|
(type == CV_32FC1)?(ippiMoments)ippiMoments64f_32f_C1R:
|
|
NULL;
|
|
if(!ippiMoments64f)
|
|
return false;
|
|
|
|
ippStatus = ippiMomentGetStateSize_64f(ippAlgHintAccurate, &stateSize);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
|
|
if(!state.allocate(stateSize) && stateSize)
|
|
return false;
|
|
|
|
ippStatus = ippiMomentInit_64f(state, ippAlgHintAccurate);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
|
|
ippStatus = CV_INSTRUMENT_FUN_IPP(ippiMoments64f, src.ptr<Ipp8u>(), (int)src.step, roi, state);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
|
|
ippStatus = ippiGetSpatialMoment_64f(state, 0, 0, 0, point, &m.m00);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
ippiGetSpatialMoment_64f(state, 1, 0, 0, point, &m.m10);
|
|
ippiGetSpatialMoment_64f(state, 0, 1, 0, point, &m.m01);
|
|
ippiGetSpatialMoment_64f(state, 2, 0, 0, point, &m.m20);
|
|
ippiGetSpatialMoment_64f(state, 1, 1, 0, point, &m.m11);
|
|
ippiGetSpatialMoment_64f(state, 0, 2, 0, point, &m.m02);
|
|
ippiGetSpatialMoment_64f(state, 3, 0, 0, point, &m.m30);
|
|
ippiGetSpatialMoment_64f(state, 2, 1, 0, point, &m.m21);
|
|
ippiGetSpatialMoment_64f(state, 1, 2, 0, point, &m.m12);
|
|
ippiGetSpatialMoment_64f(state, 0, 3, 0, point, &m.m03);
|
|
|
|
ippStatus = ippiGetCentralMoment_64f(state, 2, 0, 0, &m.mu20);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
ippiGetCentralMoment_64f(state, 1, 1, 0, &m.mu11);
|
|
ippiGetCentralMoment_64f(state, 0, 2, 0, &m.mu02);
|
|
ippiGetCentralMoment_64f(state, 3, 0, 0, &m.mu30);
|
|
ippiGetCentralMoment_64f(state, 2, 1, 0, &m.mu21);
|
|
ippiGetCentralMoment_64f(state, 1, 2, 0, &m.mu12);
|
|
ippiGetCentralMoment_64f(state, 0, 3, 0, &m.mu03);
|
|
|
|
ippStatus = ippiGetNormalizedCentralMoment_64f(state, 2, 0, 0, &m.nu20);
|
|
if(ippStatus < 0)
|
|
return false;
|
|
ippiGetNormalizedCentralMoment_64f(state, 1, 1, 0, &m.nu11);
|
|
ippiGetNormalizedCentralMoment_64f(state, 0, 2, 0, &m.nu02);
|
|
ippiGetNormalizedCentralMoment_64f(state, 3, 0, 0, &m.nu30);
|
|
ippiGetNormalizedCentralMoment_64f(state, 2, 1, 0, &m.nu21);
|
|
ippiGetNormalizedCentralMoment_64f(state, 1, 2, 0, &m.nu12);
|
|
ippiGetNormalizedCentralMoment_64f(state, 0, 3, 0, &m.nu03);
|
|
|
|
return true;
|
|
#else
|
|
CV_UNUSED(src); CV_UNUSED(m);
|
|
return false;
|
|
#endif
|
|
}
|
|
#endif
|
|
|
|
}
|
|
|
|
cv::Moments cv::moments( InputArray _src, bool binary )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
const int TILE_SIZE = 32;
|
|
MomentsInTileFunc func = 0;
|
|
uchar nzbuf[TILE_SIZE*TILE_SIZE];
|
|
Moments m;
|
|
int type = _src.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type);
|
|
Size size = _src.size();
|
|
|
|
if( size.width <= 0 || size.height <= 0 )
|
|
return m;
|
|
|
|
#ifdef HAVE_OPENCL
|
|
CV_OCL_RUN_(type == CV_8UC1 && _src.isUMat(), ocl_moments(_src, m, binary), m);
|
|
#endif
|
|
|
|
Mat mat = _src.getMat();
|
|
if( mat.checkVector(2) >= 0 && (depth == CV_32F || depth == CV_32S))
|
|
return contourMoments(mat);
|
|
|
|
if( cn > 1 )
|
|
CV_Error( CV_StsBadArg, "Invalid image type (must be single-channel)" );
|
|
|
|
CV_IPP_RUN(!binary, ipp_moments(mat, m), m);
|
|
|
|
if( binary || depth == CV_8U )
|
|
func = momentsInTile<uchar, int, int>;
|
|
else if( depth == CV_16U )
|
|
func = momentsInTile<ushort, int, int64>;
|
|
else if( depth == CV_16S )
|
|
func = momentsInTile<short, int, int64>;
|
|
else if( depth == CV_32F )
|
|
func = momentsInTile<float, double, double>;
|
|
else if( depth == CV_64F )
|
|
func = momentsInTile<double, double, double>;
|
|
else
|
|
CV_Error( CV_StsUnsupportedFormat, "" );
|
|
|
|
Mat src0(mat);
|
|
|
|
for( int y = 0; y < size.height; y += TILE_SIZE )
|
|
{
|
|
Size tileSize;
|
|
tileSize.height = std::min(TILE_SIZE, size.height - y);
|
|
|
|
for( int x = 0; x < size.width; x += TILE_SIZE )
|
|
{
|
|
tileSize.width = std::min(TILE_SIZE, size.width - x);
|
|
Mat src(src0, cv::Rect(x, y, tileSize.width, tileSize.height));
|
|
|
|
if( binary )
|
|
{
|
|
cv::Mat tmp(tileSize, CV_8U, nzbuf);
|
|
cv::compare( src, 0, tmp, CV_CMP_NE );
|
|
src = tmp;
|
|
}
|
|
|
|
double mom[10];
|
|
func( src, mom );
|
|
|
|
if(binary)
|
|
{
|
|
double s = 1./255;
|
|
for( int k = 0; k < 10; k++ )
|
|
mom[k] *= s;
|
|
}
|
|
|
|
double xm = x * mom[0], ym = y * mom[0];
|
|
|
|
// accumulate moments computed in each tile
|
|
|
|
// + m00 ( = m00' )
|
|
m.m00 += mom[0];
|
|
|
|
// + m10 ( = m10' + x*m00' )
|
|
m.m10 += mom[1] + xm;
|
|
|
|
// + m01 ( = m01' + y*m00' )
|
|
m.m01 += mom[2] + ym;
|
|
|
|
// + m20 ( = m20' + 2*x*m10' + x*x*m00' )
|
|
m.m20 += mom[3] + x * (mom[1] * 2 + xm);
|
|
|
|
// + m11 ( = m11' + x*m01' + y*m10' + x*y*m00' )
|
|
m.m11 += mom[4] + x * (mom[2] + ym) + y * mom[1];
|
|
|
|
// + m02 ( = m02' + 2*y*m01' + y*y*m00' )
|
|
m.m02 += mom[5] + y * (mom[2] * 2 + ym);
|
|
|
|
// + m30 ( = m30' + 3*x*m20' + 3*x*x*m10' + x*x*x*m00' )
|
|
m.m30 += mom[6] + x * (3. * mom[3] + x * (3. * mom[1] + xm));
|
|
|
|
// + m21 ( = m21' + x*(2*m11' + 2*y*m10' + x*m01' + x*y*m00') + y*m20')
|
|
m.m21 += mom[7] + x * (2 * (mom[4] + y * mom[1]) + x * (mom[2] + ym)) + y * mom[3];
|
|
|
|
// + m12 ( = m12' + y*(2*m11' + 2*x*m01' + y*m10' + x*y*m00') + x*m02')
|
|
m.m12 += mom[8] + y * (2 * (mom[4] + x * mom[2]) + y * (mom[1] + xm)) + x * mom[5];
|
|
|
|
// + m03 ( = m03' + 3*y*m02' + 3*y*y*m01' + y*y*y*m00' )
|
|
m.m03 += mom[9] + y * (3. * mom[5] + y * (3. * mom[2] + ym));
|
|
}
|
|
}
|
|
|
|
completeMomentState( &m );
|
|
return m;
|
|
}
|
|
|
|
|
|
void cv::HuMoments( const Moments& m, double hu[7] )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
double t0 = m.nu30 + m.nu12;
|
|
double t1 = m.nu21 + m.nu03;
|
|
|
|
double q0 = t0 * t0, q1 = t1 * t1;
|
|
|
|
double n4 = 4 * m.nu11;
|
|
double s = m.nu20 + m.nu02;
|
|
double d = m.nu20 - m.nu02;
|
|
|
|
hu[0] = s;
|
|
hu[1] = d * d + n4 * m.nu11;
|
|
hu[3] = q0 + q1;
|
|
hu[5] = d * (q0 - q1) + n4 * t0 * t1;
|
|
|
|
t0 *= q0 - 3 * q1;
|
|
t1 *= 3 * q0 - q1;
|
|
|
|
q0 = m.nu30 - 3 * m.nu12;
|
|
q1 = 3 * m.nu21 - m.nu03;
|
|
|
|
hu[2] = q0 * q0 + q1 * q1;
|
|
hu[4] = q0 * t0 + q1 * t1;
|
|
hu[6] = q1 * t0 - q0 * t1;
|
|
}
|
|
|
|
void cv::HuMoments( const Moments& m, OutputArray _hu )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
_hu.create(7, 1, CV_64F);
|
|
Mat hu = _hu.getMat();
|
|
CV_Assert( hu.isContinuous() );
|
|
HuMoments(m, hu.ptr<double>());
|
|
}
|
|
|
|
|
|
CV_IMPL void cvMoments( const CvArr* arr, CvMoments* moments, int binary )
|
|
{
|
|
const IplImage* img = (const IplImage*)arr;
|
|
cv::Mat src;
|
|
if( CV_IS_IMAGE(arr) && img->roi && img->roi->coi > 0 )
|
|
cv::extractImageCOI(arr, src, img->roi->coi-1);
|
|
else
|
|
src = cv::cvarrToMat(arr);
|
|
cv::Moments m = cv::moments(src, binary != 0);
|
|
CV_Assert( moments != 0 );
|
|
*moments = cvMoments(m);
|
|
}
|
|
|
|
|
|
CV_IMPL double cvGetSpatialMoment( CvMoments * moments, int x_order, int y_order )
|
|
{
|
|
int order = x_order + y_order;
|
|
|
|
if( !moments )
|
|
CV_Error( CV_StsNullPtr, "" );
|
|
if( (x_order | y_order) < 0 || order > 3 )
|
|
CV_Error( CV_StsOutOfRange, "" );
|
|
|
|
return (&(moments->m00))[order + (order >> 1) + (order > 2) * 2 + y_order];
|
|
}
|
|
|
|
|
|
CV_IMPL double cvGetCentralMoment( CvMoments * moments, int x_order, int y_order )
|
|
{
|
|
int order = x_order + y_order;
|
|
|
|
if( !moments )
|
|
CV_Error( CV_StsNullPtr, "" );
|
|
if( (x_order | y_order) < 0 || order > 3 )
|
|
CV_Error( CV_StsOutOfRange, "" );
|
|
|
|
return order >= 2 ? (&(moments->m00))[4 + order * 3 + y_order] :
|
|
order == 0 ? moments->m00 : 0;
|
|
}
|
|
|
|
|
|
CV_IMPL double cvGetNormalizedCentralMoment( CvMoments * moments, int x_order, int y_order )
|
|
{
|
|
int order = x_order + y_order;
|
|
|
|
double mu = cvGetCentralMoment( moments, x_order, y_order );
|
|
double m00s = moments->inv_sqrt_m00;
|
|
|
|
while( --order >= 0 )
|
|
mu *= m00s;
|
|
return mu * m00s * m00s;
|
|
}
|
|
|
|
|
|
CV_IMPL void cvGetHuMoments( CvMoments * mState, CvHuMoments * HuState )
|
|
{
|
|
if( !mState || !HuState )
|
|
CV_Error( CV_StsNullPtr, "" );
|
|
|
|
double m00s = mState->inv_sqrt_m00, m00 = m00s * m00s, s2 = m00 * m00, s3 = s2 * m00s;
|
|
|
|
double nu20 = mState->mu20 * s2,
|
|
nu11 = mState->mu11 * s2,
|
|
nu02 = mState->mu02 * s2,
|
|
nu30 = mState->mu30 * s3,
|
|
nu21 = mState->mu21 * s3, nu12 = mState->mu12 * s3, nu03 = mState->mu03 * s3;
|
|
|
|
double t0 = nu30 + nu12;
|
|
double t1 = nu21 + nu03;
|
|
|
|
double q0 = t0 * t0, q1 = t1 * t1;
|
|
|
|
double n4 = 4 * nu11;
|
|
double s = nu20 + nu02;
|
|
double d = nu20 - nu02;
|
|
|
|
HuState->hu1 = s;
|
|
HuState->hu2 = d * d + n4 * nu11;
|
|
HuState->hu4 = q0 + q1;
|
|
HuState->hu6 = d * (q0 - q1) + n4 * t0 * t1;
|
|
|
|
t0 *= q0 - 3 * q1;
|
|
t1 *= 3 * q0 - q1;
|
|
|
|
q0 = nu30 - 3 * nu12;
|
|
q1 = 3 * nu21 - nu03;
|
|
|
|
HuState->hu3 = q0 * q0 + q1 * q1;
|
|
HuState->hu5 = q0 * t0 + q1 * t1;
|
|
HuState->hu7 = q1 * t0 - q0 * t1;
|
|
}
|
|
|
|
|
|
/* End of file. */
|