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stats.cpp
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stats.cpp
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/**
* Author: Alan Tong
* Date: June 22. 2019
*/
#include "stats.h"
stats::stats(PNG & im){
/* YOUR CODE HERE */
// To find the cumulative color info, we run through the whole
// image matrix and compute each pixel value individually
// resizing vectors
hist.resize(im.width());
sumHueX.resize(im.width());
sumHueY.resize(im.width());
sumSat.resize(im.width());
sumLum.resize(im.width());
for (int rowIdx = 0; rowIdx < im.width(); ++rowIdx) {
// resizing vectors
hist[rowIdx].resize(im.height());
sumHueX[rowIdx].resize(im.height());
sumHueY[rowIdx].resize(im.height());
sumSat[rowIdx].resize(im.height());
sumLum[rowIdx].resize(im.height());
for (int colIdx = 0; colIdx < im.height(); ++colIdx) {
// initialization
double currentsumHueX = 0;
double currentsumHueY = 0;
double currentsumSat = 0;
double currentsumLum = 0;
hist[rowIdx][colIdx].resize(36);
for (int histIdx = 0; histIdx < 36; ++histIdx) {
hist[rowIdx][colIdx][histIdx] = 0;
}
// compute cumulative values in sub-rectangle
HSLAPixel currentPixel = *im.getPixel(rowIdx, colIdx);
if (rowIdx == 0 && colIdx == 0){
// at (0,0)
currentsumHueX = cos(currentPixel.h*PI/180.0);
currentsumHueY = sin(currentPixel.h*PI/180.0);
currentsumSat = currentPixel.s;
currentsumLum = currentPixel.l;
int current_histIdx = currentPixel.h/10;
hist[rowIdx][colIdx][current_histIdx]++;
}else if (rowIdx == 0 && colIdx != 0){
// on the left edge
// look one unit above
currentsumHueX = cos(currentPixel.h*PI/180.0)+sumHueX[rowIdx][colIdx-1];
currentsumHueY = sin(currentPixel.h*PI/180.0)+sumHueY[rowIdx][colIdx-1];
currentsumSat = currentPixel.s+sumSat[rowIdx][colIdx-1];
currentsumLum = currentPixel.l+sumLum[rowIdx][colIdx-1];
hist[rowIdx][colIdx] = hist[rowIdx][colIdx-1];
int current_histIdx = currentPixel.h/10;
hist[rowIdx][colIdx][current_histIdx]++;
}else if (rowIdx != 0 && colIdx == 0){
// on the top edge
// look one unit left
currentsumHueX = cos(currentPixel.h*PI/180.0)+sumHueX[rowIdx-1][colIdx];
currentsumHueY = sin(currentPixel.h*PI/180.0)+sumHueY[rowIdx-1][colIdx];
currentsumSat = currentPixel.s+sumSat[rowIdx-1][colIdx];
currentsumLum = currentPixel.l+sumLum[rowIdx-1][colIdx];
hist[rowIdx][colIdx] = hist[rowIdx-1][colIdx];
int current_histIdx = currentPixel.h/10;
hist[rowIdx][colIdx][current_histIdx]++;
}else{
// inside
// +top + left - (-1,-1)
currentsumHueX = cos(currentPixel.h*PI/180.0)+sumHueX[rowIdx-1][colIdx]
+sumHueX[rowIdx][colIdx-1]-sumHueX[rowIdx-1][colIdx-1];
currentsumHueY = sin(currentPixel.h*PI/180.0)+sumHueY[rowIdx-1][colIdx]
+sumHueY[rowIdx][colIdx-1]-sumHueY[rowIdx-1][colIdx-1];
currentsumSat = currentPixel.s+sumSat[rowIdx-1][colIdx]
+sumSat[rowIdx][colIdx-1]
-sumSat[rowIdx-1][colIdx-1];
currentsumLum = currentPixel.l+sumLum[rowIdx-1][colIdx]
+sumLum[rowIdx][colIdx-1]
-sumLum[rowIdx-1][colIdx-1];
hist[rowIdx][colIdx] = arraySum(hist[rowIdx-1][colIdx], hist[rowIdx][colIdx-1]);
hist[rowIdx][colIdx] = arraySubtract(hist[rowIdx][colIdx], hist[rowIdx-1][colIdx-1]);
int current_histIdx = currentPixel.h/10;
hist[rowIdx][colIdx][current_histIdx]++;
}
// for (int rec_rowIdx = 0; rec_rowIdx <= rowIdx; ++rec_rowIdx) {
// for (int rec_colIdx = 0; rec_colIdx <= colIdx; ++rec_colIdx) {
// HSLAPixel currentPixel = *im.getPixel(rec_rowIdx, rec_colIdx);
// currentsumHueX = currentsumHueX+(cos(currentPixel.h*PI/180.0));
// currentsumHueY = currentsumHueY+(sin(currentPixel.h*PI/180.0));
// currentsumSat = currentsumSat+(currentPixel.s);
// currentsumLum = currentsumLum+(currentPixel.l);
// int current_histIdx = currentPixel.h/10;
// hist[rowIdx][colIdx][current_histIdx]++;
// }
// }
// std::cout << "currentsumHue: " << (atan2(currentsumHueY,currentsumHueX)*180.0)/PI << std::endl;
// std::cout << "currentsumSat: " << currentsumSat << std::endl;
// return values to corresponding positions in the 2d array
sumHueX[rowIdx][colIdx] = currentsumHueX;
sumHueY[rowIdx][colIdx] = currentsumHueY;
sumSat[rowIdx][colIdx] = currentsumSat;
sumLum[rowIdx][colIdx] = currentsumLum;
}
}
}
long stats::rectArea(pair<int,int> ul, pair<int,int> lr){
/* YOUR CODE HERE */
// number of pixels in the bounded rectangle can be found
// using formula (|x1-x2|+1)*(|y1-y2|+1)
return (abs(ul.first-lr.first)+1)*(abs(ul.second-lr.second)+1);
}
HSLAPixel stats::getAvg(pair<int,int> ul, pair<int,int> lr){
/* YOUR CODE HERE */
// average color info of a rectangle of pixels can be computed
// by looking up private 2d vectors. First find lr color info,
// since the data is accumulated values, we denote this data
// as T. Then compute T-[lr(x)][ul(y)-1]-[ul(x)-1][lr(y)]+
// [ul(x)-1][ul(y)-1], as the sum. Finally devide rectArea
// handle rest of edge cases
double currentSum_h;
double currentSum_s;
double currentSum_l;
double current_a = 1.0;
double currentSumY;
double currentSumX;
double currentSumS;
double currentSumL;
double numPixels = rectArea(ul, lr);
if ((ul.first == 0) && (ul.second == 0)){
// starting from [0][0]
currentSumY = sumHueY[lr.first][lr.second];
currentSumX = sumHueX[lr.first][lr.second];
currentSumS = sumSat[lr.first][lr.second];
currentSumL = sumLum[lr.first][lr.second];
}else if ((ul.first == 0) && (ul.second != 0)){
// rect lays on left edge
currentSumY = sumHueY[lr.first][lr.second]-sumHueY[lr.first][ul.second-1];
currentSumX = sumHueX[lr.first][lr.second]-sumHueX[lr.first][ul.second-1];
currentSumS = sumSat[lr.first][lr.second]-sumSat[lr.first][ul.second-1];
currentSumL = sumLum[lr.first][lr.second]-sumLum[lr.first][ul.second-1];
}else if ((ul.first != 0) && (ul.second == 0)){
// rect lays on top edge
currentSumY = sumHueY[lr.first][lr.second]-sumHueY[ul.first-1][lr.second];
currentSumX = sumHueX[lr.first][lr.second]-sumHueX[ul.first-1][lr.second];
currentSumS = sumSat[lr.first][lr.second]-sumSat[ul.first-1][lr.second];
currentSumL = sumLum[lr.first][lr.second]-sumLum[ul.first-1][lr.second];
}else{
// rect lays inside with no touching on left or top edges
currentSumY = sumHueY[lr.first][lr.second]
-sumHueY[ul.first-1][lr.second]-sumHueY[lr.first][ul.second-1]
+sumHueY[ul.first-1][ul.second-1];
currentSumX = sumHueX[lr.first][lr.second]
-sumHueX[ul.first-1][lr.second]-sumHueX[lr.first][ul.second-1]
+sumHueX[ul.first-1][ul.second-1];
currentSumS = sumSat[lr.first][lr.second]
-sumSat[ul.first-1][lr.second]-sumSat[lr.first][ul.second-1]
+sumSat[ul.first-1][ul.second-1];
currentSumL = sumLum[lr.first][lr.second]
-sumLum[ul.first-1][lr.second]-sumLum[lr.first][ul.second-1]
+sumLum[ul.first-1][ul.second-1];
}
currentSum_h = atan2(currentSumY/numPixels, currentSumX/numPixels)*180/PI;
if (currentSum_h < 0){
currentSum_h += 360;
}
currentSum_s = currentSumS;
currentSum_l = currentSumL;
HSLAPixel avgPixel = HSLAPixel(currentSum_h,
currentSum_s/numPixels,
currentSumL/numPixels,
current_a);
return avgPixel;
}
vector<int> stats::buildHist(pair<int,int> ul, pair<int,int> lr){
/* YOUR CODE HERE */
// similar to the implementation we used for getAvg,
// just need to do vector subtraction for the hist axis
vector<int> resultHist;
if ((ul.first == 0) && (ul.second == 0)){
// starting from [0][0]
resultHist = hist[lr.first][lr.second];
return resultHist;
}else if ((ul.first == 0) && (ul.second != 0)){
// rect lays on left edge
resultHist = arraySubtract(hist[lr.first][lr.second], hist[lr.first][ul.second-1]);
return resultHist;
}else if ((ul.first != 0) && (ul.second == 0)){
// rect lays on top edge
resultHist = arraySubtract(hist[lr.first][lr.second], hist[ul.first-1][lr.second]);
return resultHist;
}else{
// rect lays inside with no touching on left or top edges
resultHist = arraySubtract(hist[lr.first][lr.second], hist[ul.first-1][lr.second]);
resultHist = arraySubtract(resultHist, hist[lr.first][ul.second-1]);
resultHist = arraySum(resultHist, hist[ul.first-1][ul.second-1]);
return resultHist;
}
}
// takes a distribution and returns entropy
double stats::entropy(vector<int> & distn,int area){
double entropy = 0;
for (int i = 0; i < 36; i++) {
if (distn[i] > 0 )
entropy += ((double) distn[i]/(double) area)
* log2((double) distn[i]/(double) area);
}
return -1 * entropy;
}
double stats::entropy(pair<int,int> ul, pair<int,int> lr){
vector<int> distn = buildHist(ul,lr);
int area = rectArea(ul,lr);
return entropy(distn,area);
}
// helper functions
vector<int> stats::arraySubtract(vector<int> v1, vector<int> v2){
vector<int> result;
result.resize(v1.size()); // always resize array in cpp
for (int var = 0; var < v1.size(); ++var) {
result[var] = v1[var]-v2[var];
}
return result;
}
vector<int> stats::arraySum(vector<int> v1, vector<int> v2){
vector<int> result;
result.resize(v1.size()); // always resize array in cpp
for (int var = 0; var < v1.size(); ++var) {
result[var] = v1[var]+v2[var];
}
return result;
}
void stats::arrayPrint(vector<int> v1){
for (int var = 0; var < v1.size(); ++var) {
std::cout << v1[var] << " ";
}
}