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//  If you do not agree to this license, do not download, install,
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//
//                           License Agreement
//                For Open Source Computer Vision Library
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// Copyright (C) 2009-2010, Willow Garage Inc., all rights reserved.
// Third party copyrights are property of their respective owners.
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// Redistribution and use in source and binary forms, with or without modification,
// are permitted provided that the following conditions are met:
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//   * Redistribution's of source code must retain the above copyright notice,
//     this list of conditions and the following disclaimer.
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//   * Redistribution's in binary form must reproduce the above copyright notice,
//     this list of conditions and the following disclaimer in the documentation
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//   * The name of the copyright holders may not be used to endorse or promote products
//     derived from this software without specific prior written permission.
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// This software is provided by the copyright holders and contributors "as is" and
// any express or implied warranties, including, but not limited to, the implied
// warranties of merchantability and fitness for a particular purpose are disclaimed.
// In no event shall the Intel Corporation or contributors be liable for any direct,
// indirect, incidental, special, exemplary, or consequential damages
// (including, but not limited to, procurement of substitute goods or services;
// loss of use, data, or profits; or business interruption) however caused
// and on any theory of liability, whether in contract, strict liability,
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// If you find this code useful, please add a reference to the following paper in your work:
// Gil Levi and Tal Hassner, "LATCH: Learned Arrangements of Three Patch Codes", arXiv preprint arXiv:1501.03719, 15 Jan. 2015

//M*/

#include "precomp.hpp"
#include <algorithm>
#include <vector>

#include <iostream>
#include <iomanip>

namespace cv
{
    namespace xfeatures2d
    {

        /*
        * LATCH Descriptor
        */
        class LATCHDescriptorExtractorImpl : public LATCH
        {
        public:
            enum { PATCH_SIZE = 48 };

            LATCHDescriptorExtractorImpl(int bytes = 32, bool rotationInvariance = true, int half_ssd_size = 3);

            virtual void read( const FileNode& );
            virtual void write( FileStorage& ) const;

            virtual int descriptorSize() const;
            virtual int descriptorType() const;
            virtual int defaultNorm() const;

            virtual void compute(InputArray image, std::vector<KeyPoint>& keypoints, OutputArray descriptors);

        protected:
            typedef void(*PixelTestFn)(const Mat& input_image, const std::vector<KeyPoint>& keypoints, OutputArray, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size);
            void setSamplingPoints();
            int bytes_;
            PixelTestFn test_fn_;
            bool rotationInvariance_;
            int half_ssd_size_;


            std::vector<int> sampling_points_ ;
        };

        Ptr<LATCH> LATCH::create(int bytes, bool rotationInvariance, int half_ssd_size)
        {
            return makePtr<LATCHDescriptorExtractorImpl>(bytes, rotationInvariance, half_ssd_size);
        }
        void CalcuateSums(int count, const std::vector<int> &points, bool rotationInvariance, const Mat &grayImage, const KeyPoint &pt, int &suma, int &sumc, float cos_theta, float sin_theta, int half_ssd_size);


        static void pixelTests1(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 1; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }


        static void pixelTests2(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 2; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }


        static void pixelTests4(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 4; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }



        static void pixelTests8(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 8; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }


        static void pixelTests16(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 16; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }


        static void pixelTests32(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 32; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }


        static void pixelTests64(const Mat& grayImage, const std::vector<KeyPoint>& keypoints, OutputArray _descriptors, const std::vector<int> &points, bool rotationInvariance, int half_ssd_size)
        {
            Mat descriptors = _descriptors.getMat();
            for (int i = 0; i < (int)keypoints.size(); ++i)
            {
                uchar* desc = descriptors.ptr(i);
                const KeyPoint& pt = keypoints[i];
                int count = 0;

                //handling keypoint orientation
                float angle = pt.angle;
                angle *= (float)(CV_PI / 180.f);
                float cos_theta = cos(angle);
                float sin_theta = sin(angle);
                for (int ix = 0; ix < 64; ix++){
                    desc[ix] = 0;
                    for (int j = 7; j >= 0; j--){

                        int suma = 0;
                        int sumc = 0;

                        CalcuateSums(count, points, rotationInvariance, grayImage, pt, suma, sumc, cos_theta, sin_theta, half_ssd_size);
                        desc[ix] += (uchar)((suma < sumc) << j);

                        count += 6;
                    }
                }
            }
        }

        void CalcuateSums(int count, const std::vector<int> &points, bool rotationInvariance, const Mat &grayImage, const KeyPoint &pt, int &suma, int &sumc, float cos_theta, float sin_theta, int half_ssd_size)

        {
            int ax = points[count];
            int ay = points[count + 1];

            int	bx = points[count + 2];
            int	by = points[count + 3];

            int cx = points[count + 4];
            int cy = points[count + 5];

            int ax2 = ax;
            int ay2 = ay;
            int bx2 = bx;
            int by2 = by;
            int cx2 = cx;
            int cy2 = cy;

            if (rotationInvariance){


                ax2 =(int)(((float)ax)*cos_theta - ((float)ay)*sin_theta);
                ay2 = (int)(((float)ax)*sin_theta + ((float)ay)*cos_theta);
                bx2 = (int)(((float)bx)*cos_theta - ((float)by)*sin_theta);
                by2 = (int)(((float)bx)*sin_theta + ((float)by)*cos_theta);
                cx2 = (int)(((float)cx)*cos_theta - ((float)cy)*sin_theta);
                cy2 = (int)(((float)cx)*sin_theta + ((float)cy)*cos_theta);


                if (ax2 > 24)
                    ax2 = 24;
                if (ax2<-24)
                    ax2 = -24;

                if (ay2>24)
                    ay2 = 24;
                if (ay2<-24)
                    ay2 = -24;

                if (bx2>24)
                    bx2 = 24;
                if (bx2<-24)
                    bx2 = -24;

                if (by2>24)
                    by2 = 24;
                if (by2<-24)
                    by2 = -24;

                if (cx2>24)
                    cx2 = 24;
                if (cx2<-24)
                    cx2 = -24;

                if (cy2>24)
                    cy2 = 24;
                if (cy2 < -24)
                    cy2 = -24;

            }


            ax2 += (int)(pt.pt.x + 0.5);
            ay2 += (int)(pt.pt.y + 0.5);

            bx2 += (int)(pt.pt.x + 0.5);
            by2 += (int)(pt.pt.y + 0.5);

            cx2 += (int)(pt.pt.x + 0.5);
            cy2 += (int)(pt.pt.y + 0.5);


            int K = half_ssd_size;
            for (int iy = -K; iy <= K; iy++)
            {
                const uchar * Mi_a = grayImage.ptr<uchar>(ay2 + iy);
                const uchar * Mi_b = grayImage.ptr<uchar>(by2 + iy);
                const uchar * Mi_c = grayImage.ptr<uchar>(cy2 + iy);

                for (int ix = -K; ix <= K; ix++)
                {
                    double difa = Mi_a[ax2 + ix] - Mi_b[bx2 + ix];
                    suma += (int)((difa)*(difa));

                    double difc = Mi_c[cx2 + ix] - Mi_b[bx2 + ix];
                    sumc += (int)((difc)*(difc));
                }
            }

        }



        LATCHDescriptorExtractorImpl::LATCHDescriptorExtractorImpl(int bytes, bool rotationInvariance, int half_ssd_size) :
            bytes_(bytes), test_fn_(NULL), rotationInvariance_(rotationInvariance), half_ssd_size_(half_ssd_size)
        {
            switch (bytes)
            {
            case 1:
                test_fn_ = pixelTests1;
                break;
            case 2:
                test_fn_ = pixelTests2;
                break;
            case 4:
                test_fn_ = pixelTests4;
                break;
            case 8:
                test_fn_ = pixelTests8;
                break;
            case 16:
                test_fn_ = pixelTests16;
                break;
            case 32:
                test_fn_ = pixelTests32;
                break;
            case 64:
                test_fn_ = pixelTests64;
                break;
            default:
                CV_Error(Error::StsBadArg, "descriptorSize must be 1,2, 4, 8, 16, 32, or 64");
            }

            setSamplingPoints();
        }

        int LATCHDescriptorExtractorImpl::descriptorSize() const
        {
            return bytes_;
        }

        int LATCHDescriptorExtractorImpl::descriptorType() const
        {
            return CV_8UC1;
        }

        int LATCHDescriptorExtractorImpl::defaultNorm() const
        {
            return NORM_HAMMING;
        }

        void LATCHDescriptorExtractorImpl::read(const FileNode& fn)
        {
            int dSize = fn["descriptorSize"];
            switch (dSize)
            {
            case 1:
                test_fn_ = pixelTests1;
                break;
            case 2:
                test_fn_ = pixelTests2;
                break;
            case 4:
                test_fn_ = pixelTests4;
                break;
            case 8:
                test_fn_ = pixelTests8;
                break;
            case 16:
                test_fn_ = pixelTests16;
                break;
            case 32:
                test_fn_ = pixelTests32;
                break;
            case 64:
                test_fn_ = pixelTests64;
                break;
            default:
                CV_Error(Error::StsBadArg, "descriptorSize must be 1,2, 4, 8, 16, 32, or 64");
            }
            bytes_ = dSize;
        }

        void LATCHDescriptorExtractorImpl::write(FileStorage& fs) const
        {
            fs << "descriptorSize" << bytes_;
        }

        void LATCHDescriptorExtractorImpl::compute(InputArray _image,
            std::vector<KeyPoint>& keypoints,
            OutputArray _descriptors)
        {
            Mat image = _image.getMat();

            if ( image.empty() )
                return;

            if ( keypoints.empty() )
                return;


            Mat grayImage;
            GaussianBlur(image, grayImage, cv::Size(3, 3), 2, 2);

            if (image.type() != CV_8U) cvtColor(image, grayImage, COLOR_BGR2GRAY);



            //Remove keypoints very close to the border
            KeyPointsFilter::runByImageBorder(keypoints, image.size(), PATCH_SIZE / 2 + half_ssd_size_);
            
            bool _1d = false;
            Mat descriptors;

            _1d = _descriptors.kind() == _InputArray::STD_VECTOR && _descriptors.type() == CV_8U;
            if( _1d )
            {
                _descriptors.create((int)keypoints.size()*bytes_, 1, CV_8U);
                descriptors = _descriptors.getMat().reshape(1, (int)keypoints.size());
            }
            else
            {
                _descriptors.create((int)keypoints.size(), bytes_, CV_8U);
                descriptors = _descriptors.getMat();
            }

            //_descriptors.create((int)keypoints.size(), bytes_, CV_8U);
            // prepare descriptors as mat
            //Mat descriptors = _descriptors.getMat();


            test_fn_(grayImage, keypoints, descriptors, sampling_points_, rotationInvariance_, half_ssd_size_);
        }


        void LATCHDescriptorExtractorImpl::setSamplingPoints(){
            int sampling_points_arr[]= { 13, -6, 19, 19, 23, -4,
                4, 16, 24, -11, 4, -21,
                22, -14, -2, -20, 23, 5,
                17, -10, 2, 10, 14, -18,
                -22, 2, -12, 12, -22, 21,
                11, 6, 7, 15, 3, -11,
                -7, 16, -10, -14, -3, 9,
                -5, 1, -16, 16, -9, -21,
                -19, 2, -2, -9, -22, 24,
                19, 12, -1, -19, 15, -9,
                7, -2, 22, -23, 13, 20,
                -3, 9, -17, -1, -5, -19,
                -3, -14, 5, -21, 10, 19,
                12, -9, 24, 20, 20, -20,
                -5, 18, 19, 11, -6, -16,
                22, 7, 1, -8, -10, 6,
                19, -4, 3, 8, -2, 19,
                -17, 10, -11, -12, -21, -17,
                24, -13, 18, -14, 14, -19,
                -24, -15, 15, -14, -23, -11,
                -6, 22, -1, -11, 6, -14,
                16, 18, 10, -23, 20, 4,
                23, 8, 4, 7, 17, -19,
                -2, -21, -11, -18, -3, 7,
                -23, 10, -11, 5, -16, 19,
                -24, 4, 15, -16, -19, -5,
                -19, -4, -1, 5, -20, 2,
                20, 12, 11, -24, 9, 22,
                9, 13, -6, -23, 10, 15,
                -22, -8, -4, -5, -15, 20,
                -6, -13, 1, 16, -6, 23,
                -18, -3, -8, -15, -18, 5,
                14, -12, 9, 13, 19, 12,
                -22, 16, -1, 19, 16, -12,
                1, 8, -1, -4, -3, 7,
                3, 15, 23, -23, 5, -9,
                2, -7, 14, -13, 6, 20,
                -18, 11, 16, -10, -12, 4,
                -15, 2, -9, 21, -21, 20,
                -3, 5, -22, 23, -7, -22,
                -17, 13, 24, -14, -24, -24,
                24, 15, 3, -22, -16, 7,
                -14, -20, 1, -7, -12, -2,
                19, 17, 0, 18, -12, -7,
                -12, 10, 8, 5, -21, -18,
                -15, 9, 13, 3, -18, -17,
                0, 5, 11, -22, 8, 18,
                21, 2, -22, -17, 15, 3,
                -22, -15, 18, 23, -23, 21,
                -24, 16, 10, -3, -8, -1,
                -19, 19, 22, 23, -14, -2,
                20, 15, -2, -19, 19, -15,
                -10, 12, 0, -9, -9, -16,
                13, -22, 16, 16, 0, -14,
                -8, -13, -1, 20, -5, -22,
                -7, -23, -4, 10, -1, 20,
                16, -1, -13, -16, 24, -18,
                -18, 12, 8, 19, -24, -14,
                -15, 24, 6, 2, -21, -22,
                20, -2, 8, 0, 17, -10,
                -19, 21, -7, 20, -14, 3,
                19, 17, 0, -16, -18, -19,
                -17, -19, 12, -23, -12, -8,
                9, 10, 9, -23, 21, -24,
                9, 19, -15, -18, 7, -19,
                5, 3, -3, -16, 4, -2,
                15, -10, -24, 16, 24, 11,
                17, 16, -9, 1, 18, -15,
                11, -5, 0, 24, -20, -12,
                -14, -19, 24, -16, -9, -6,
                22, -14, 2, -22, 16, 11,
                23, -1, 4, -10, 20, 22,
                -10, -9, 17, 13, -13, -13,
                -15, 13, 11, 9, -13, 9,
                22, 15, 2, 18, -12, -10,
                3, 23, 18, 15, 20, -24,
                7, -6, 16, 11, 8, 1,
                13, 16, 24, -20, 9, -4,
                -8, -3, 17, 24, -19, 17,
                11, 6, -5, 22, 14, -10,
                -5, -11, -15, -10, -22, 9,
                7, 18, -12, 8, 13, -24,
                9, 0, 2, 3, 7, 12,
                21, 14, 0, -8, -17, 2,
                22, 20, -5, 16, 19, -23,
                22, -18, -19, -3, 24, -15,
                18, 0, -11, 16, 17, 11,
                22, 15, -11, 7, 20, -9,
                -16, 10, 2, 1, -19, 20,
                -19, -4, 2, -3, -24, 17,
                -3, 21, 22, -12, -1, 3,
                -3, -20, -7, 23, -1, -9,
                -11, 3, -20, -5, -9, -8,
                19, -17, 21, 21, 21, -13,
                -10, 6, 2, -2, -17, -21,
                19, 24, 20, 6, 24, -11,
                10, -23, -1, -9, 8, -5,
                22, -20, -3, 24, 19, 5,
                -24, 6, 0, -13, -23, -15,
                10, 20, -22, -4, 9, -20,
                -24, 10, 5, -15, -24, -20,
                22, 6, 8, -7, 11, 22,
                -18, 7, -9, 19, -12, -5,
                -9, 21, -20, -17, -17, 22,
                -23, 6, -22, -12, -17, 7,
                -18, 3, 1, 24, -24, 20,
                -10, -9, 2, 15, 18, 18,
                16, -13, -18, 11, 9, -6,
                24, 24, -24, 22, 12, -12,
                20, 7, -21, 15, 22, -5,
                -9, -7, 23, -13, -17, -20,
                -9, -6, 23, 0, -22, 13,
                -15, -18, 1, -22, -17, 10,
                0, 4, 4, -8, 18, -8,
                -7, -6, -20, 18, -20, -3,
                -20, -14, 4, -9, -17, -8,
                -18, -7, 3, 8, -16, 5,
                7, -12, 10, 19, 20, 21,
                -22, 24, 4, 8, -22, 2,
                -19, -18, -18, 22, -2, 13,
                10, 9, -15, 15, 21, 16,
                16, 11, -24, -2, 24, 21,
                -7, -12, 1, 14, 9, 17,
                20, 17, 7, 7, 5, -24,
                -13, -8, 21, 18, -15, 11,
                -22, 8, 12, -8, -18, 23,
                14, 10, 6, -24, 17, -10,
                8, 13, 21, 17, 24, -3,
                -21, -24, 18, 11, -8, 5,
                -10, -23, -2, 23, -13, 5,
                11, 7, -1, -21, -10, -4,
                21, -22, -15, 6, 6, -4,
                16, -7, -7, -23, 19, 6,
                -1, 21, 23, -14, -2, -17,
                22, -13, -22, 4, 14, 3,
                -10, 3, 14, -11, -22, 8,
                11, 13, -24, 10, 24, 21,
                12, 2, 13, -16, 15, 1,
                -1, -4, 20, -22, -6, -19,
                -14, -20, 2, -11, -20, 24,
                -23, -10, 12, 1, -24, 2,
                -24, -23, -16, 13, -1, -11,
                -8, 6, 19, -13, -23, 23,
                -18, -24, 23, -16, -21, 16,
                -12, 19, -10, 6, -6, -16,
                0, -15, -13, 24, -2, 9,
                19, -4, 0, 21, 21, 16,
                -10, -24, -24, -20, -13, -5,
                24, 7, -13, 7, 18, 19,
                0, 22, -21, 20, 0, 18,
                23, 10, -13, -14, 16, 10,
                -10, -12, 8, 10, -13, 24,
                -22, -6, -17, 14, -6, 11,
                17, 17, -7, 17, 17, -12,
                22, -1, -2, -3, -24, 22,
                12, 0, 1, -11, 12, -16,
                -20, -6, -11, 17, -5, -19,
                18, 7, -8, 3, 23, -11,
                24, -7, -18, 24, 20, -1,
                -10, 4, -4, -22, -14, -8,
                15, -8, -16, 20, 17, 23,
                12, 15, 15, -19, 5, 4,
                -16, 21, 3, -3, -17, -15,
                -18, 14, -20, -22, -18, 12,
                21, 13, -18, 0, 12, -12,
                -20, 23, 15, -10, -14, -16,
                -24, 16, 12, -5, -16, 13,
                -11, -13, -4, -9, -2, -18,
                3, -12, -24, 0, -2, -3,
                -14, -14, 22, 9, -21, 17,
                18, 10, 2, 23, 15, 6,
                -8, -18, 15, 23, -11, 23,
                -24, 13, 4, 16, -24, -13,
                9, 0, 21, -23, 6, -24,
                -22, 13, 21, 19, -21, -10,
                -21, 19, 7, -2, -7, 1,
                2, -21, 8, 20, 11, -12,
                19, -19, -2, 24, 17, 1,
                -3, -7, 3, 17, -4, -13,
                -23, -5, -15, -14, -7, 11,
                -15, -23, 24, 22, -17, 18,
                5, -7, 11, -22, 18, -5,
                20, -11, -20, 0, 11, 4,
                18, 18, -9, 7, 19, 17,
                1, -17, 24, -24, 4, 3,
                -19, -23, 9, 23, -10, 9,
                7, -2, -13, 5, 16, -5,
                8, -13, -9, -23, 12, 13,
                6, -21, -1, 0, -4, 18,
                9, -17, -24, -22, 9, 17,
                -19, 2, 20, -14, -22, 23,
                22, 11, -9, -14, 8, -4,
                12, -22, -2, 13, 8, 21,
                9, -8, 14, 18, 5, -9,
                16, -13, -7, -7, 21, -12,
                13, -12, -10, 11, 7, 11,
                3, 8, 5, -6, 2, 14,
                24, -22, 8, 23, -7, -10,
                22, 11, 6, 20, -6, -9,
                10, -5, -2, -1, 12, 15,
                -14, 14, -23, 6, -13, -3,
                -9, 2, 22, -1, -24, -10,
                -17, 22, 6, -9, -12, -13,
                -12, 1, -4, 9, -14, -2,
                13, 2, 23, -2, 12, 5,
                16, -14, -4, -22, 18, 17,
                -13, -8, 7, -5, -21, -17,
                3, -1, -3, -2, -10, 19,
                18, 6, -14, 24, 20, 10,
                -7, -20, -23, 10, -4, -8,
                -20, -9, -10, 16, -14, -21,
                9, 17, -12, 21, 16, 24,
                19, -22, -11, -12, 24, -20,
                5, -15, 14, 12, 3, -13,
                -6, 20, 4, 22, 3, -20,
                -23, -12, 7, 12, -23, 16,
                22, 3, -4, 18, 22, 8,
                1, 1, 16, 9, -5, 18,
                21, -7, -5, -15, 24, -6,
                -13, 14, -12, 23, -17, 18,
                12, 18, -1, 0, 20, 7,
                14, -7, -15, -17, 18, -2,
                -18, -12, -11, 14, -15, -21,
                -2, -21, 4, -16, 10, -2,
                22, -23, -19, -17, 19, 16,
                8, 22, 7, -22, 22, -22,
                8, -17, -17, 0, 12, 22,
                13, 8, -6, 19, 19, -6,
                19, -4, -23, -10, 23, -13,
                -16, -19, -6, 18, -19, 23,
                5, -18, -4, -12, -18, -24,
                -10, 9, 6, 4, -16, -24,
                -7, -15, 0, 3, -1, 24,
                -5, 12, 10, -24, 24, 22,
                -13, 9, 1, 18, 15, 7,
                -18, -3, -11, -22, -18, -5,
                -9, 7, 14, 24, -6, -1,
                -1, -24, 22, 19, -1, 13,
                -19, 3, -15, -16, -12, 1,
                0, 12, 21, 21, 13, -22,
                -19, -9, 14, 12, -23, 17,
                13, -11, 22, 3, 24, -14,
                -19, 5, -1, 20, 18, 15,
                19, -19, -16, 24, 23, 7,
                -20, -13, 22, 21, -23, -3,
                -20, 19, 16, -2, -20, -19,
                18, 18, -12, -16, 14, -5,
                21, -16, -23, -5, 19, 8,
                -12, 12, -20, -5, -7, -6,
                -10, -24, -3, 18, -11, -5,
                8, 14, 2, -3, 9, 6,
                24, 2, -2, -6, 24, -12,
                7, -8, 0, 8, -3, 21,
                22, 1, 17, -12, 14, -23,
                19, -18, -1, 23, -21, -10,
                -6, -1, 14, -22, -9, -9,
                20, -24, -16, -11, 21, 19,
                -24, 9, -8, 17, -19, -7,
                -12, -3, 19, -24, -15, 0,
                -1, -21, -9, 22, -21, -4,
                23, 4, -3, 11, 9, 4,
                -10, 10, 10, 4, -8, 7,
                5, -15, 21, -23, 9, -12,
                -17, -21, -2, -15, -17, -15,
                21, 12, 9, 23, 1, -9,
                21, 20, 19, -6, 5, -1,
                -16, -21, 19, -3, -12, 15,
                14, 3, -2, 2, -20, -17,
                -3, -16, -15, -13, -21, 11,
                -18, 21, -5, -17, 5, 11,
                23, 7, -9, 17, 20, -6,
                11, -14, -21, 23, 19, -21,
                -9, -6, 23, -24, -16, 7,
                -22, 21, 7, 12, -19, -12,
                -3, 19, 23, 10, -3, -18,
                -2, 22, -8, -16, -5, 23,
                14, 21, 22, -19, 6, -9,
                -6, -24, -12, -13, -23, 9,
                4, -21, 14, -4, 23, 18,
                9, 7, -6, 6, 22, 0,
                14, -13, 8, 24, 16, -14,
                2, -20, 4, -13, 11, -11,
                14, -12, 23, 7, 10, 21,
                14, -4, 14, 22, 13, -14,
                11, -12, 21, 19, 20, -8,
                3, -20, 23, -13, 23, 23,
                4, 18, -2, 10, -11, 20,
                1, 21, 6, 15, 14, -3,
                16, 24, 8, -11, 18, 23,
                21, -3, 15, -23, 5, -5,
                7, 9, -12, -4, 14, 18,
                1, -24, 11, -9, -1, 10,
                -16, -10, -7, 22, -14, 5,
                -22, 18, -15, -24, -1, 8,
                -17, 16, 4, 0, -17, 24,
                -9, -8, 17, -3, -13, 21,
                24, 10, 12, 12, 3, -15,
                21, 6, -1, -5, 19, 19,
                -21, -15, 12, 14, -24, -15,
                -24, 10, 5, -11, -16, -6,
                16, -8, -5, -20, 15, -7,
                -4, 20, -5, 12, -9, 20,
                -18, 12, 10, -14, -14, 24,
                17, -12, -1, 13, 18, 19,
                -13, 22, 2, 9, -14, 19,
                13, -12, 5, 18, 4, -24,
                -23, -5, -1, -11, 19, 13,
                14, -11, -21, -8, 22, -22,
                -24, 21, -8, -21, 5, 14,
                11, -4, -9, -10, 16, 2,
                19, -12, -8, 14, 22, -23,
                -22, -13, 1, -4, -17, 4,
                -21, 10, 5, 3, -19, 18,
                -3, -18, 13, 15, 19, -23,
                -2, 12, 23, -19, -1, -10,
                15, -7, 0, -20, 7, 0,
                -17, -1, -5, 15, -16, -20,
                11, -21, 2, -15, 4, 2,
                -3, 5, 4, -2, -3, -14,
                13, 22, -15, 19, 9, -17,
                -4, 18, 21, 7, -2, 5,
                15, 22, 7, -23, 19, 14,
                11, 14, 24, -23, 11, 6,
                17, 21, -8, -13, 15, 11,
                -12, -23, 10, 8, -8, -11,
                12, -5, -16, -19, 18, -6,
                -20, -24, -1, -22, -24, -9,
                -17, -12, 9, 19, -16, 24,
                14, -9, -6, 7, 20, -23,
                7, 19, 24, 0, 9, 23,
                -23, 22, 11, 7, -24, 22,
                -21, 0, -8, 14, -20, 23,
                14, -8, -16, -15, 18, 11,
                2, -6, 24, 7, 6, 24,
                -14, 24, -4, 3, -21, 2,
                23, 10, 24, -24, 10, 10,
                11, 5, -2, 15, 12, 7,
                24, 11, -5, 6, 21, 12,
                12, 22, -1, 13, -15, -18,
                14, -23, 20, 1, 19, 23,
                -19, -22, 4, -2, -19, 20,
                8, 2, -9, 10, 23, 21,
                -11, -11, -1, 15, 9, 23,
                20, 1, 9, 9, 13, 21,
                9, -22, -5, -16, 5, -11,
                -17, -23, -7, 9, -24, 23,
                7, -9, 23, 2, 20, -16,
                15, -18, -22, 18, 16, 14,
                -13, -18, -23, -8, -22, 13,
                12, -9, 12, 20, 14, -12,
                -18, -5, -15, 3, -19, 8,
                -16, -13, 10, 10, -15, 17,
                -9, 5, -23, 16, -9, 3,
                -16, -19, 14, 21, -19, -22,
                -1, 5, 23, 13, 1, -24,
                -10, 19, -1, -23, -19, -23,
                4, -19, 8, 4, 7, 18,
                17, 12, 1, 7, -6, 18,
                11, -24, 8, 18, 16, -14,
                -22, 11, -11, -2, -20, 14,
                -5, 9, 9, -23, 16, 24,
                -12, -8, 14, -6, -11, 5,
                23, -6, -16, -5, 21, -15,
                21, -22, -24, -2, 13, -8,
                17, 19, 24, -4, 10, 6,
                -14, -21, -8, 13, -5, -1,
                -21, -12, 23, -24, -21, -17,
                12, 11, 21, 15, 13, 23,
                -9, 16, -23, -2, -6, 2,
                19, 4, 18, -24, 23, 6,
                8, -23, 15, -2, 7, 20,
                24, 10, 8, 24, 4, -3,
                -23, 5, 19, -3, -23, 23,
                -19, -20, 3, 15, -12, 6,
                -10, 23, 0, 3, 18, -22,
                12, 8, -24, 19, 22, 2,
                12, 0, -4, -24, 21, 16,
                -9, -3, 14, 14, -14, 4,
                18, 11, -9, -14, 21, -23,
                11, 22, 1, 4, 17, -3,
                13, -22, -17, 23, 11, 15,
                11, -14, 3, 9, -4, -12,
                -6, 16, 2, 5, 20, 6,
                10, -1, 7, 21, 12, 7,
                -21, 12, -14, -21, -23, 13,
                16, 24, 0, -10, -14, -16,
                -12, -6, 23, 8, -10, 9,
                14, -18, 2, 24, -9, -5,
                16, 17, 0, -1, 10, 21,
                7, 0, -12, -15, 13, -11,
                14, -20, -22, -13, 0, 1,
                -21, -15, 6, -23, -16, -20,
                -9, 24, 2, -17, -5, 4,
                -21, 18, 18, -22, -21, -6,
                8, -3, 5, 17, 18, 10,
                3, 0, 11, 22, -4, -12,
                -24, 10, 18, 20, -21, -24,
                -8, -19, 6, -24, 17, 7,
                1, 8, 19, 8, 13, -23,
                -21, -24, 21, 2, -21, -15,
                20, 17, 21, -3, 21, 18,
                -18, -10, 17, -18, -18, 10,
                5, -6, 19, 10, 11, 22,
                6, 24, 8, 13, 3, -8,
                -3, -12, -13, 4, -21, 23,
                -10, 5, -2, -22, 5, -9,
                20, -17, -24, 16, 5, -3,
                2, 5, 6, -24, 5, 21,
                -15, 22, 1, 7, -16, 0,
                -19, -21, -7, 10, 0, -23,
                -15, -6, -2, -18, -20, -8,
                -16, 19, 1, 15, 18, 4,
                5, 4, -21, -14, 4, 2,
                2, 19, 0, -8, 5, 7,
                -16, -18, 22, 2, -18, 22,
                -23, 2, 15, -21, -19, -10,
                -15, 12, -8, -14, -20, -11,
                -11, 3, 1, 20, -24, 20,
                2, 3, -1, 24, 17, 19,
                -22, 2, 9, -23, -20, -3,
                -11, -11, 11, -20, -13, -23,
                5, -1, 16, -7, 3, 9,
                23, -2, 14, 23, 13, -2,
                20, -12, 12, 18, 22, 1,
                16, -19, 11, 8, 7, 23,
                9, 9, 2, -20, 15, -23,
                10, 0, -10, 23, 9, 4,
                -24, -18, 3, 15, -16, -7,
                19, -17, -17, 1, 23, 11,
                22, -7, 0, 24, 0, -3,
                -24, -22, 15, 9, -8, -4,
                20, -14, -8, -14, 19, 9,
                24, -2, -8, -4, 24, 14,
                17, -1, 10, -23, 1, 15,
                9, -1, 0, -24, 13, -12,
                -5, 10, -18, -6, -23, 11,
                -20, 21, 18, 4, -9, -7,
                24, 15, 7, -3, -2, 11,
                -10, -24, 11, 2, -10, 13,
                17, -17, -14, -18, 21, -14,
                -9, -17, -4, -9, -10, -2,
                22, -21, 8, -11, 1, 23,
                -3, -15, -21, -20, -14, 19,
                3, -10, -11, 22, 3, -21,
                -23, -15, 0, 9, -19, 12,
                -24, -3, -5, 22, -23, 15,
                16, -9, -19, -18, 11, -1,
                -18, 6, 0, -24, 18, -23,
                15, -11, -24, 4, 16, 1,
                10, -21, 23, 1, 2, -10,
                18, -2, 1, 5, -7, -23,
                24, -16, -11, -22, 24, -19,
                19, 12, -23, 2, 12, 0,
                17, 9, 12, -12, 8, 11,
                -16, -16, 19, 0, -19, -21,
                15, 20, 20, -24, 9, 3,
                24, 1, 6, 21, 18, -19,
                -22, 21, -2, -14, 19, 22,
                0, -17, 18, -12, -2, 10,
                -21, -8, -9, -7, -18, -15,
                -19, -1, -7, -21, -23, -15,
                -23, -5, 13, 21, -18, 1,
                12, 6, 15, -12, 10, -20,
                16, -13, -20, -6, 14, 13,
                -9, -2, 11, -14, -13, -5,
                15, -4, 13, 17, 22, -3,
                19, -17, -2, 11, -23, 22,
                12, 16, 12, -4, 18, 9,
                0, 9, 11, -20, 11, 1,
                12, -11, 22, -9, 24, -23,
                -14, -13, -3, 5, 4, 12,
                14, 12, -14, 3, 15, 17,
                -11, -24, 18, -23, -5, 3,
                18, 9, 9, 20, 9, 3,
                -21, -10, 8, -1, -24, -23,
                13, 4, -3, -19, 19, 1,
                18, -18, 2, -21, 10, 13,
                -10, -17, 0, 12, 8, 19,
                21, 8, 2, -23, -19, 8,
                5, -4, -12, 18, 14, -12,
                19, -19, 14, 5, 9, 21,
                -21, -21, -8, 1, -1, 14,
                13, 6, 16, -24, 15, 14,
                -5, 21, -14, -8, -2, 11,
                -14, -21, -23, 19, -6, -6,
                10, -10, -23, -2, 16, 16,
                13, -14, 3, -15, 13, -23,
                -15, -13, 17, 12, -19, 19,
                -5, 18, -12, 10, -4, -16,
                -22, -15, -9, -18, -10, 16,
                -7, -5, 13, -18, -18, -23,
                -23, 22, -3, -24, 14, 20,
                12, 16, 21, -11, 19, 19,
                12, -18, -3, -17, 9, -14,
                -19, -11, 14, -13, -21, 23,
                8, -6, -18, 12, 17, 1,
                -4, -1, 4, 19, -12, -7,
                21, 3, -24, 21, 13, 8,
                17, 23, 2, 15, 21, -4,
                4, 16, -15, -20, 1, 6,
                16, -22, 6, 11, 18, -12,
                -24, -1, -18, 8, -13, -2,
                16, -6, -1, -7, -20, -20,
                9, -10, -15, 6, 17, 16,
                -19, 17, 19, 0, -18, -8,
                15, -23, 12, -6, 1, 11,
                21, -15, 6, 19, 10, -24,
                -16, 23, -1, -8, -17, -14,
                11, 2, -1, 7, 14, -2,
                11, 20, -1, -4, -3, -23,
                -19, 20, -11, -2, -20, -24,
                11, -12, 5, -21, -2, -13};

            sampling_points_.assign(&sampling_points_arr[0],&sampling_points_arr[0]+sizeof(sampling_points_arr)/4); }

    }

} // namespace cv