plotting
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49a59d5852
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75b4d1adc7
@ -10,6 +10,7 @@ import android.app.Activity;
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import android.graphics.Color;
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import android.os.Bundle;
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import android.os.Handler;
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import android.util.Log;
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import android.view.ViewGroup;
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import android.view.Window;
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import android.widget.Toast;
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@ -27,7 +28,6 @@ import org.achartengine.GraphicalView;
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import org.achartengine.chart.LineChart;
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import org.achartengine.chart.PointStyle;
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import org.achartengine.chart.XYChart;
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import org.achartengine.model.Point;
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import org.achartengine.model.XYMultipleSeriesDataset;
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import org.achartengine.model.XYSeries;
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import org.achartengine.renderer.BasicStroke;
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@ -118,10 +118,26 @@ public class CalculatorPlotActivity extends Activity {
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final XYChart chart = prepareChart(minValue, maxValue, expression, variable);
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// reverting boundaries (as in prepareChart() we add some cached values )
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chart.getRenderer().setXAxisMin(DEFAULT_MIN_NUMBER);
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chart.getRenderer().setYAxisMin(DEFAULT_MIN_NUMBER);
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chart.getRenderer().setXAxisMax(DEFAULT_MAX_NUMBER);
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chart.getRenderer().setYAxisMax(DEFAULT_MAX_NUMBER);
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double minX = Double.MAX_VALUE;
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double minY = Double.MAX_VALUE;
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double maxX = Double.MIN_VALUE;
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double maxY = Double.MIN_VALUE;
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for (XYSeries series : chart.getDataset().getSeries()) {
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minX = Math.min(minX, series.getMinX());
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minY = Math.min(minY, series.getMinY());
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maxX = Math.max(maxX, series.getMaxX());
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maxY = Math.max(maxY, series.getMaxY());
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}
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Log.d(CalculatorPlotActivity.class.getName(), "min x: " +minX +", min y: " + minY + ", max x: " + maxX + ", max y: " + maxY);
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chart.getRenderer().setXAxisMin(Math.max(minX, DEFAULT_MIN_NUMBER));
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chart.getRenderer().setYAxisMin(Math.max(minY, DEFAULT_MIN_NUMBER));
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chart.getRenderer().setXAxisMax(Math.min(maxX, DEFAULT_MAX_NUMBER));
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chart.getRenderer().setYAxisMax(Math.min(maxY, DEFAULT_MAX_NUMBER));
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graphicalView = new GraphicalView(this, chart);
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graphicalView.addZoomListener(new ZoomListener() {
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@Override
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@ -143,6 +159,8 @@ public class CalculatorPlotActivity extends Activity {
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});
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graphContainer.addView(graphicalView);
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updateDataSets(chart);
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}
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private void updateDataSets(@NotNull final XYChart chart) {
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@ -163,11 +181,11 @@ public class CalculatorPlotActivity extends Activity {
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if (chart.getDataset().getSeriesCount() > 1) {
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imagSeries = chart.getDataset().getSeriesAt(1);
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} else {
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imagSeries = new XYSeries(getImagFunctionName(CalculatorPlotActivity.this.expression, CalculatorPlotActivity.this.variable));
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imagSeries = new XYSeries(getImagFunctionName(CalculatorPlotActivity.this.variable));
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}
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try {
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if (addXY(dr.getXAxisMin(), dr.getXAxisMax(), expression, variable, realSeries, imagSeries)) {
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if (addXY(dr.getXAxisMin(), dr.getXAxisMax(), expression, variable, realSeries, imagSeries, true)) {
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if (chart.getDataset().getSeriesCount() <= 1) {
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chart.getDataset().addSeries(imagSeries);
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chart.getRenderer().addSeriesRenderer(createImagRenderer());
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@ -192,8 +210,8 @@ public class CalculatorPlotActivity extends Activity {
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}
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@NotNull
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private static String getImagFunctionName(@NotNull Generic expression, @NotNull Constant variable) {
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return "g(" + variable.getName() +")" + " = " + "Im(" + expression.toString() + ")";
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private static String getImagFunctionName(@NotNull Constant variable) {
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return "g(" + variable.getName() +")" + " = " + "Im(ƒ(" + variable.getName() +"))";
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}
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@NotNull
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@ -206,9 +224,9 @@ public class CalculatorPlotActivity extends Activity {
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private static XYChart prepareChart(final double minValue, final double maxValue, @NotNull final Generic expression, @NotNull final Constant variable) {
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final XYSeries realSeries = new XYSeries(getRealFunctionName(expression, variable));
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final XYSeries imagSeries = new XYSeries(getImagFunctionName(expression, variable));
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final XYSeries imagSeries = new XYSeries(getImagFunctionName(variable));
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boolean imagExists = addXY(minValue, maxValue, expression, variable, realSeries, imagSeries);
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boolean imagExists = addXY(minValue, maxValue, expression, variable, realSeries, imagSeries, false);
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final XYMultipleSeriesDataset data = new XYMultipleSeriesDataset();
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data.addSeries(realSeries);
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@ -233,18 +251,20 @@ public class CalculatorPlotActivity extends Activity {
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private static XYSeriesRenderer createImagRenderer() {
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final XYSeriesRenderer imagRenderer = createCommonRenderer();
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imagRenderer.setStroke(BasicStroke.DASHED);
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imagRenderer.setColor(Color.DKGRAY);
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imagRenderer.setColor(Color.LTGRAY);
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return imagRenderer;
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}
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private static boolean addXY(double minValue, double maxValue, Generic expression, Constant variable, @NotNull XYSeries realSeries, @NotNull XYSeries imagSeries) {
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private static boolean addXY(double minValue, double maxValue, Generic expression, Constant variable, @NotNull XYSeries realSeries, @NotNull XYSeries imagSeries, boolean addExtra) {
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boolean imagExists = false;
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double min = Math.min(minValue, maxValue);
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double max = Math.max(minValue, maxValue);
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double dist = max - min;
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min = min - dist;
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max = max + dist;
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if (addExtra) {
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min = min - dist;
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max = max + dist;
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}
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final int numberOfSteps = DEFAULT_NUMBER_OF_STEPS;
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final double step = Math.max((max - min) / numberOfSteps, 0.000000001);
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@ -252,8 +272,8 @@ public class CalculatorPlotActivity extends Activity {
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Double prevRealY = null;
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Double prevX = null;
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Double prevImagY = null;
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double maxY = Double.NEGATIVE_INFINITY;
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double minY = Double.POSITIVE_INFINITY;
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boolean wasRealSingularity = false;
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boolean wasImagSingularity = false;
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while (x <= max) {
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boolean needToCalculateRealY = needToCalculate(realSeries, step, x);
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@ -263,10 +283,8 @@ public class CalculatorPlotActivity extends Activity {
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final Complex c = unwrap(numeric);
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Double y = prepareY(c.realPart());
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if (y != null) {
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//addInfPoint(realSeries, prevX, x, prevRealY, y);
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wasRealSingularity = addSingularityPoint(realSeries, prevX, x, prevRealY, y, wasRealSingularity);
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realSeries.add(x, y);
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maxY = Math.max(maxY, y);
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minY = Math.min(minY, y);
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prevRealY = y;
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prevX = x;
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}
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@ -275,10 +293,8 @@ public class CalculatorPlotActivity extends Activity {
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if (needToCalculateImagY) {
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y = prepareY(c.imaginaryPart());
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if (y != null) {
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//addInfPoint(imagSeries, prevX, x, prevImagY, y);
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wasImagSingularity = addSingularityPoint(imagSeries, prevX, x, prevImagY, y, wasImagSingularity);
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imagSeries.add(x, y);
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maxY = Math.max(maxY, y);
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minY = Math.min(minY, y);
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prevImagY = y;
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prevX = x;
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}
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@ -293,10 +309,8 @@ public class CalculatorPlotActivity extends Activity {
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final Complex c = unwrap(numeric);
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Double y = prepareY(c.imaginaryPart());
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if (y != null) {
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//addInfPoint(imagSeries, prevX, x, prevImagY, y);
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wasImagSingularity = addSingularityPoint(imagSeries, prevX, x, prevImagY, y, wasImagSingularity);
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imagSeries.add(x, y);
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maxY = Math.max(maxY, y);
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minY = Math.min(minY, y);
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prevImagY = y;
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prevX = x;
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}
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@ -317,12 +331,19 @@ public class CalculatorPlotActivity extends Activity {
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return imagExists;
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}
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private static void addInfPoint(@NotNull XYSeries series, @Nullable Double prevX, @NotNull Double x, @Nullable Double prevY, @NotNull Double y) {
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if ( prevX != null && prevY != null) {
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if ( Math.abs(prevY / y) > MAX_Y_DIFF || Math.abs(y / prevY) > MAX_Y_DIFF) {
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// todo serso: UNABLE TO PLOT i/ln(t)!!!
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private static boolean addSingularityPoint(@NotNull XYSeries series, @Nullable Double prevX, @NotNull Double x, @Nullable Double prevY, @NotNull Double y, boolean wasSingularity) {
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if ( !wasSingularity && prevX != null && prevY != null) {
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if ( y > 0.00000000001d && prevY > 0.00000000001d && (Math.abs(prevY / y) > MAX_Y_DIFF || Math.abs(y / prevY) > MAX_Y_DIFF)) {
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//Log.d(CalculatorPlotActivity.class.getName(), "Singularity! Prev point: (" + prevX + ", " + prevY + "), current point: (" +x+ ", " + y +")" );
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//Log.d(CalculatorPlotActivity.class.getName(), String.valueOf(prevX + Math.abs(x - prevX) / 2) + ", null");
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series.add( prevX + Math.abs(x - prevX) / 2, MathHelper.NULL_VALUE);
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return true;
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}
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}
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return false;
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}
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private static boolean needToCalculate(@NotNull XYSeries series, double step, double x) {
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@ -336,16 +357,52 @@ public class CalculatorPlotActivity extends Activity {
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return needToCalculateY;
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}
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public static final class Point implements Serializable {
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/**
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* The X axis coordinate value.
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*/
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private double x;
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/**
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* The Y axis coordinate value.
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*/
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private double y;
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public Point() {
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}
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public Point(double x, double y) {
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this.x = x;
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this.y = y;
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}
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public double getX() {
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return x;
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}
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public double getY() {
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return y;
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}
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public void setX(double x) {
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this.x = x;
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}
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public void setY(double y) {
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this.y = y;
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}
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}
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private static void sortSeries(@NotNull XYSeries series) {
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final List<Point> values = new ArrayList<Point>(series.getItemCount());
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for (int i = 0; i < series.getItemCount(); i++) {
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values.add(new Point((float)series.getX(i), (float)series.getY(i)));
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values.add(new Point(series.getX(i), series.getY(i)));
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}
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Collections.sort(values, new Comparator<Point>() {
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@Override
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public int compare(Point point, Point point1) {
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return Float.compare(point.getX(), point1.getX());
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return Double.compare(point.getX(), point1.getX());
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}
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});
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series.clear();
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