-/**********************************************************************************************************************
- vector< vector<double> > NMDSCommand::calculateStressGradientVector(vector<seqDist>& eDists, vector<seqDist>& D, double rawStress, double stress, vector< vector<double> >& axes) {
- try {
- vector< vector<double> > gradient; gradient.resize(dimension);
- for (int i = 0; i < gradient.size(); i++) { gradient[i].resize(axes[0].size(), 0.0); }
-
- double sumDij = 0.0;
- for (int i = 0; i < eDists.size(); i++) { sumDij += (eDists[i].dist * eDists[i].dist); }
-
- for (int i = 0; i < eDists.size(); i++) {
-
- for (int j = 0; j < dimension; j++) {
-
- if (m->control_pressed) { return gradient; }
-
- double firstTerm1 = (stress / rawStress) * (eDists[i].dist - D[i].dist);
- double firstTerm2 = (stress / sumDij) * eDists[i].dist;
- double firstTerm = firstTerm1 - firstTerm2;
-
- float r = (dimension-1.0);
- double temp = 1.0 / (pow(eDists[i].dist, r));
- float absTemp = abs(axes[j][eDists[i].seq1] - axes[j][eDists[i].seq2]);
- double secondTerm = pow(absTemp, r) * temp;
-
- double sigNum = 1.0;
- if ((axes[j][eDists[i].seq1] - axes[j][eDists[i].seq2]) == 0) { sigNum = 0.0; }
- else if ((axes[j][eDists[i].seq1] - axes[j][eDists[i].seq2]) < 0) { sigNum = -1.0; }
-
- double results = (firstTerm * secondTerm * sigNum);
- cout << i << '\t' << j << '\t' << "results = " << results << endl;
- gradient[j][eDists[i].seq1] += results;
- gradient[j][eDists[i].seq2] -= results;
- }
- }
-
- return gradient;
- }
- catch(exception& e) {
- m->errorOut(e, "NMDSCommand", "calculateStressGradientVector");
- exit(1);
- }
- }
- //**********************************************************************************************************************
- double NMDSCommand::calculateMagnitude(vector< vector<double> >& gradient) {
- try {
- double magnitude = 0.0;
-
- double sum = 0.0;
- for (int i = 0; i < gradient.size(); i++) {
- for (int j = 0; j < gradient[i].size(); j++) {
- sum += (gradient[i][j] * gradient[i][j]);
- }
- }
-
- magnitude = sqrt(((1.0/(float)gradient[0].size()) * sum));
-
- return magnitude;
- }
- catch(exception& e) {
- m->errorOut(e, "NMDSCommand", "calculateMagnitude");
- exit(1);
- }
- }
- //**********************************************************************************************************************
- //described in Kruskal paper page 121 + 122
- double NMDSCommand::calculateStep(vector< vector<double> >& prevGrad, vector< vector<double> >& grad, vector<double>& prevStress) {
- try {
- double newStep = step;
-
- //calc the cos theta
- double sumNum = 0.0;
- double sumDenom1 = 0.0;
- double sumDenom2 = 0.0;
- for (int i = 0; i < prevGrad.size(); i++) {
- for (int j = 0; j < prevGrad[i].size(); j++) {
- sumDenom1 += (grad[i][j] * grad[i][j]);
- sumDenom2 += (prevGrad[i][j] * prevGrad[i][j]);
- sumNum += (grad[i][j] * prevGrad[i][j]);
- }
- }
-
- double cosTheta = sumNum / (sqrt(sumDenom1) * sqrt(sumDenom2));
- cosTheta *= cosTheta;
-
- //calc angle factor
- double angle = pow(4.0, cosTheta);
-
- //calc 5 step ratio
- double currentStress = prevStress[prevStress.size()-1];
- double lastStress = prevStress[0];
- if (prevStress.size() > 1) { lastStress = prevStress[prevStress.size()-2]; }
- double fivePrevStress = prevStress[0];
- if (prevStress.size() > 5) { fivePrevStress = prevStress[prevStress.size()-6]; }
-
- double fiveStepRatio = min(1.0, (currentStress / fivePrevStress));
-
- //calc relaxation factor
- double relaxation = 1.3 / (1.0 + pow(fiveStepRatio, 5.0));
-
- //calc good luck factor
- double goodLuck = min(1.0, (currentStress / lastStress));
-
- //calc newStep
- //cout << "\ncos = " << cosTheta << " step = " << step << " angle = " << angle << " relaxation = " << relaxation << " goodluck = " << goodLuck << endl;
- newStep = step * angle * relaxation * goodLuck;
-
- return newStep;
- }
- catch(exception& e) {
- m->errorOut(e, "NMDSCommand", "calculateStep");
- exit(1);
- }
- }
- //**********************************************************************************************************************
- vector< vector<double> > NMDSCommand::calculateNewConfiguration(double magnitude, vector< vector<double> >& axes, vector< vector<double> >& gradient) {
- try {
-
- vector< vector<double> > newAxes = axes;
-
- for (int i = 0; i < newAxes.size(); i++) {
-
- if (m->control_pressed) { return newAxes; }
-
- for (int j = 0; j < newAxes[i].size(); j++) {
- newAxes[i][j] = axes[i][j] + ((step / magnitude) * gradient[i][j]);
- }
- }
-
- return newAxes;
- }
- catch(exception& e) {
- m->errorOut(e, "NMDSCommand", "calculateNewConfiguration");
- exit(1);
- }
- }*/
-/**********************************************************************************************************************
- //adjust eDists so that it creates monotonically increasing series of succesive values that increase or stay the same, but never decrease
- vector<seqDist> NMDSCommand::satisfyMonotonicity(vector<seqDist> eDists, vector<int> partitions) {
- try {
-
- //find averages of each partitions
- vector<double> sums; sums.resize(partitions.size(), 0.0);
- vector<int> sizes; sizes.resize(partitions.size(), 0);
-
- for (int i = 0; i < partitions.size(); i++) {
- //i is not the last one
- int start = partitions[i];
- int end;
- if (i != (partitions.size()-1)) { end = partitions[i+1]; }
- else{ end = eDists.size(); }
-
- for (int j = start; j < end; j++) { sums[i] += eDists[j].dist; }
-
- sizes[i] = (end - start);
- }
-
-
- vector<seqDist> D = eDists;
-
- //i represents the "active block"
- int i = 0;
- while (i < partitions.size()) {
-
- if (m->control_pressed) { return D; }
-
- bool upActive = true;
- bool upSatisfied = false;
- bool downSatisfied = false;
-
- //while we are not done with this block
- while ((!upSatisfied) || (!downSatisfied)) {
-
- if (upActive) {
-
- //are we are upSatisfied? - is the average of the next block greater than mine?
- if (i != (partitions.size()-1)) { //if we are the last guy then we are upsatisfied
- if ((sums[i+1]/(float)sizes[i+1]) >= (sums[i]/(float)sizes[i])) {
- upSatisfied = true;
- upActive = false;
- }else {
- //find new weighted average
- double newSum = sums[i] + sums[i+1];
-
- //merge blocks - putting everything in i
- sums[i] = newSum;
- sizes[i] += sizes[i+1];
- partitions[i] = partitions[i+1];
-
- sums.erase(sums.begin()+(i+1));
- sizes.erase(sizes.begin()+(i+1));
- partitions.erase(partitions.begin()+(i+1));
-
- upActive = false;
- }
- }else { upSatisfied = true; upActive = false; }
-
- }else { //downActive
-
- //are we are DownSatisfied? - is the average of the previous block less than mine?
- if (i != 0) { //if we are the first guy then we are downSatisfied
- if ((sums[i-1]/(float)sizes[i-1]) <= (sums[i]/(float)sizes[i])) {
- downSatisfied = true;
- upActive = true;
- }else {
- //find new weighted average
- double newSum = sums[i] + sums[i-1];;
-
- //merge blocks - putting everything in i-1
- sums[i-1] = newSum;
- sizes[i-1] += sizes[i];
-
- sums.erase(sums.begin()+i);
- sizes.erase(sizes.begin()+i);
- partitions.erase(partitions.begin()+i);
- i--;
-
- upActive = true;
- }
- }else { downSatisfied = true; upActive = true; }
- }
- }
-
- i++; // go to next block
- }
-
- //sanity check - for rounding errors
- vector<double> averages; averages.resize(sums.size(), 0.0);
- for (int i = 0; i < sums.size(); i++) { averages[i] = sums[i] / (float) sizes[i]; }
- for (int i = 0; i < averages.size(); i++) { if (averages[i+1] < averages[i]) { averages[i+1] = averages[i]; } }
-
- //fill D
- int placeHolder = 0;
- for (int i = 0; i < averages.size(); i++) {
- for (int j = 0; j < sizes[i]; j++) {
- D[placeHolder].dist = averages[i];
- placeHolder++;
- }
- }
-
- return D;
- }
- catch(exception& e) {
- m->errorOut(e, "NMDSCommand", "satisfyMonotonicity");
- exit(1);
- }
- }*/