new plotter

android-app/pom.xml

@@ -105,20 +105,6 @@
             <artifactId>simple-xml</artifactId>
         </dependency>
 
-        <dependency>
-            <groupId>achartengine</groupId>
-            <artifactId>achartengine</artifactId>
-            <version>0.7.1</version>
-        </dependency>
-
-        <dependency>
-            <groupId>arity</groupId>
-            <artifactId>arity</artifactId>
-            <version>2.1.6</version>
-            <scope>system</scope>
-            <systemPath>${project.basedir}/misc/lib/arity-2.1.6.jar</systemPath>
-        </dependency>
-
         <dependency>
             <groupId>admob</groupId>
             <artifactId>admob</artifactId>

android-app/src/main/java/org/solovyev/android/calculator/plot/AbstractCalculatorPlotFragment.java

@@ -12,7 +12,6 @@ import android.view.View;
 import com.actionbarsherlock.view.Menu;
 import com.actionbarsherlock.view.MenuInflater;
 import com.actionbarsherlock.view.MenuItem;
-import org.achartengine.renderer.XYMultipleSeriesRenderer;
 import org.jetbrains.annotations.NotNull;
 import org.jetbrains.annotations.Nullable;
 import org.solovyev.android.AndroidUtils2;
@@ -400,13 +399,6 @@ public abstract class AbstractCalculatorPlotFragment extends CalculatorFragment
             this.yMax = yMax;
         }
 
-        public PlotBoundaries(@NotNull XYMultipleSeriesRenderer renderer) {
-            this.xMin = renderer.getXAxisMin();
-            this.yMin = renderer.getYAxisMin();
-            this.xMax = renderer.getXAxisMax();
-            this.yMax = renderer.getYAxisMax();
-        }
-
         @NotNull
         public static PlotBoundaries newInstance(double xMin, double xMax, double yMin, double yMax) {
             return new PlotBoundaries(xMin, xMax, yMin, yMax);

android-app/src/main/java/org/solovyev/android/calculator/plot/CalculatorGraph2dView.java

@@ -1,5 +1,3 @@
-// Copyright (C) 2009-2010 Mihai Preda
-
 package org.solovyev.android.calculator.plot;
 
 
@@ -10,7 +8,6 @@ import android.view.MotionEvent;
 import android.view.View;
 import android.widget.Scroller;
 import android.widget.ZoomButtonsController;
-import org.javia.arity.Function;
 import org.jetbrains.annotations.NotNull;
 
 import java.text.DecimalFormat;
@@ -151,19 +148,19 @@ public class CalculatorGraph2dView extends View implements GraphView {
 
     @Override
     public void init(@NotNull FunctionViewDef functionViewDef) {
-        this.graphViewHelper = GraphViewHelper.newInstance(functionViewDef, Collections.<ArityPlotFunction>emptyList());
+        this.graphViewHelper = GraphViewHelper.newInstance(functionViewDef, Collections.<PlotFunction>emptyList());
     }
 
-    public void setFunctionPlotDefs(@NotNull List<ArityPlotFunction> functionPlotDefs) {
+    public void setPlotFunctions(@NotNull List<PlotFunction> plotFunctions) {
 
-        for (ArityPlotFunction functionPlotDef : functionPlotDefs) {
+        for (PlotFunction plotFunction : plotFunctions) {
-            final int arity = functionPlotDef.getFunction().arity();
+            final int arity = plotFunction.getXyFunction().getArity();
             if (arity != 0 && arity != 1) {
                 throw new IllegalArgumentException("Function must have arity 0 or 1 for 2d plot!");
             }
         }
 
-        this.graphViewHelper = this.graphViewHelper.copy(functionPlotDefs);
+        this.graphViewHelper = this.graphViewHelper.copy(plotFunctions);
         clearAllGraphs();
         invalidate();
     }
@@ -200,10 +197,6 @@ public class CalculatorGraph2dView extends View implements GraphView {
         drawGraph(canvas);
     }
 
-    private float eval(Function f, float x) {
-        return (float) f.eval(x);
-    }
-
     // distance from (x,y) to the line (x1,y1) to (x2,y2), squared, multiplied by 4
     /*
     private float distance(float x1, float y1, float x2, float y2, float x, float y) {
@@ -224,14 +217,14 @@ public class CalculatorGraph2dView extends View implements GraphView {
         return up * up / (dx * dx + dy * dy);
     }
 
-    private void computeGraph(@NotNull Function function,
+    private void computeGraph(@NotNull XyFunction f,
                               float xMin,
                               float xMax,
                               float yMin,
                               float yMax,
                               @NotNull GraphData graph) {
-        if (function.arity() == 0) {
+        if (f.getArity() == 0) {
-            final float v = (float) function.eval();
+            final float v = (float) f.eval();
             graph.clear();
             graph.push(xMin, v);
             graph.push(xMax, v);
@@ -249,7 +242,7 @@ public class CalculatorGraph2dView extends View implements GraphView {
             }
         }
         if (graph.empty()) {
-            graph.push(xMin, eval(function, xMin));
+            graph.push(xMin, (float)f.eval(xMin));
         }
 
         final float ratio = getRatio();
@@ -270,7 +263,7 @@ public class CalculatorGraph2dView extends View implements GraphView {
             }
             if (next.empty()) {
                 float x = leftX + maxStep;
-                next.push(x, eval(function, x));
+                next.push(x, (float) f.eval(x));
                 ++nEval;
             }
             rightX = next.topX();
@@ -283,7 +276,7 @@ public class CalculatorGraph2dView extends View implements GraphView {
 
             float dx = rightX - leftX;
             float middleX = (leftX + rightX) / 2;
-            float middleY = eval(function, middleX);
+            float middleY = (float) f.eval(middleX);
             ++nEval;
             boolean middleIsOutside = (middleY < leftY && middleY < rightY) || (leftY < middleY && rightY < middleY);
             if (dx < minStep) {
@@ -482,20 +475,20 @@ public class CalculatorGraph2dView extends View implements GraphView {
         {
             //GRAPH
 
-            final List<ArityPlotFunction> functionPlotDefs = graphViewHelper.getFunctionPlotDefs();
+            final List<PlotFunction> functionPlotDefs = graphViewHelper.getFunctionPlotDefs();
 
             // create path once
             final Path path = new Path();
 
             for (int i = 0; i < functionPlotDefs.size(); i++) {
-                final ArityPlotFunction fpd = functionPlotDefs.get(i);
+                final PlotFunction fpd = functionPlotDefs.get(i);
-                computeGraph(fpd.getFunction(), xMin, xMax, lastYMin, lastYMax, graphs.get(i));
+                computeGraph(fpd.getXyFunction(), xMin, xMax, lastYMin, lastYMax, graphs.get(i));
 
                 graphToPath(graphs.get(i), path);
 
                 path.transform(matrix);
 
-                AbstractCalculatorPlotFragment.applyToPaint(fpd.getLineDef(), paint);
+                AbstractCalculatorPlotFragment.applyToPaint(fpd.getPlotLineDef(), paint);
 
                 canvas.drawPath(path, paint);
             }

android-app/src/main/java/org/solovyev/android/calculator/plot/CalculatorPlotFragment.java

@@ -4,16 +4,10 @@ import android.graphics.Bitmap;
 import android.graphics.Color;
 import android.view.View;
 import android.view.ViewGroup;
-import jscl.math.Generic;
-import jscl.math.function.Constant;
-import org.javia.arity.Function;
 import org.jetbrains.annotations.NotNull;
 import org.jetbrains.annotations.Nullable;
 import org.solovyev.android.calculator.R;
 
-import java.util.ArrayList;
-import java.util.List;
-
 /**
  * User: serso
  * Date: 12/30/12
@@ -44,28 +38,6 @@ public class CalculatorPlotFragment extends AbstractCalculatorPlotFragment {
             graphContainer.removeView((View) graphView);
         }
 
-        final List<ArityPlotFunction> arityFunctions = new ArrayList<ArityPlotFunction>();
-
-        for (PlotFunction plotFunction : plotData.getFunctions()) {
-
-            final XyFunction xyFunction = plotFunction.getXyFunction();
-
-            final Generic expression = xyFunction.getExpression();
-            final Constant xVariable = xyFunction.getXVariable();
-            final Constant yVariable = xyFunction.getYVariable();
-
-            final int arity = xyFunction.getArity();
-
-            final Function arityFunction;
-            if (xyFunction.isImag()) {
-                arityFunction = new ImaginaryArityFunction(arity, expression, xVariable, yVariable);
-            } else {
-                arityFunction = new RealArityFunction(arity, expression, xVariable, yVariable);
-            }
-
-            arityFunctions.add(ArityPlotFunction.newInstance(arityFunction, plotFunction.getPlotLineDef()));
-        }
-
         if ( plotData.isPlot3d() ) {
             graphView = new Graph3dView(getActivity());
         } else {
@@ -74,7 +46,7 @@ public class CalculatorPlotFragment extends AbstractCalculatorPlotFragment {
 
         graphView.init(FunctionViewDef.newInstance(Color.WHITE, Color.WHITE, Color.DKGRAY, getBgColor()));
         //graphView.setXRange((float)plotBoundaries.getXMin(), (float)plotBoundaries.getXMax());
-        graphView.setFunctionPlotDefs(arityFunctions);
+        graphView.setPlotFunctions(plotData.getFunctions());
 
         graphContainer.addView((View) graphView);
     }
@@ -135,96 +107,4 @@ public class CalculatorPlotFragment extends AbstractCalculatorPlotFragment {
     **********************************************************************
     */
 
-    private static abstract class AbstractArityFunction extends Function {
-
-        protected final int arity;
-
-        @NotNull
-        protected final Generic expression;
-
-        @Nullable
-        protected final Constant xVariable;
-
-        @Nullable
-        protected final Constant yVariable;
-
-        @Nullable
-        private Double constant = null;
-
-        public AbstractArityFunction(int arity,
-                                     @NotNull Generic expression,
-                                     @Nullable  Constant xVariable,
-                                     @Nullable Constant yVariable) {
-            this.arity = arity;
-            this.expression = expression;
-            this.xVariable = xVariable;
-            this.yVariable = yVariable;
-        }
-
-        @Override
-        public final double eval() {
-            if (constant == null) {
-                constant = eval0();
-            }
-            return constant;
-        }
-
-        protected abstract double eval0();
-
-        @Override
-        public final int arity() {
-            return arity;
-        }
-
-    }
-
-    private static class RealArityFunction extends AbstractArityFunction {
-
-        private RealArityFunction(int arity,
-                                  @NotNull Generic expression,
-                                  @Nullable  Constant xVariable,
-                                  @Nullable Constant yVariable) {
-            super(arity, expression, xVariable, yVariable);
-        }
-
-        @Override
-        public double eval0() {
-            return PlotUtils.calculatorExpression(expression).realPart();
-        }
-
-        @Override
-        public double eval(double x) {
-            return PlotUtils.calculatorExpression(expression, xVariable, x).realPart();
-        }
-
-        @Override
-        public double eval(double x, double y) {
-            return PlotUtils.calculatorExpression(expression, xVariable, x, yVariable, y).realPart();
-        }
-    }
-
-    private static class ImaginaryArityFunction extends AbstractArityFunction {
-
-        private ImaginaryArityFunction(int arity,
-                             @NotNull Generic expression,
-                             @Nullable  Constant xVariable,
-                             @Nullable Constant yVariable) {
-            super(arity, expression, xVariable, yVariable);
-        }
-
-        @Override
-        public double eval0() {
-            return PlotUtils.calculatorExpression(expression).imaginaryPart();
-        }
-
-        @Override
-        public double eval(double x) {
-            return PlotUtils.calculatorExpression(expression, xVariable, x).imaginaryPart();
-        }
-
-        @Override
-        public double eval(double x, double y) {
-            return PlotUtils.calculatorExpression(expression, xVariable, x, yVariable, y).imaginaryPart();
-        }
-    }
 }

android-app/src/main/java/org/solovyev/android/calculator/plot/Graph3d.java

@@ -3,7 +3,6 @@
 package org.solovyev.android.calculator.plot;
 
 import android.graphics.Color;
-import org.javia.arity.Function;
 import org.jetbrains.annotations.NotNull;
 
 import javax.microedition.khronos.opengles.GL10;
@@ -92,9 +91,9 @@ class Graph3d {
         return bb;
     }
 
-    public void update(@NotNull GL11 gl, @NotNull ArityPlotFunction fpd, float zoom) {
+    public void update(@NotNull GL11 gl, @NotNull PlotFunction fpd, float zoom) {
-        final Function function = fpd.getFunction();
+        final XyFunction function = fpd.getXyFunction();
-        final PlotLineDef lineDef = fpd.getLineDef();
+        final PlotLineDef lineDef = fpd.getPlotLineDef();
         final int NTICK = useHighQuality3d ? 5 : 0;
 
         final float size = 4 * zoom;
@@ -230,8 +229,8 @@ class Graph3d {
         }
     }
 
-    private float fillFunctionPolygonVertices(Function function, float size, float[] vertices) {
+    private float fillFunctionPolygonVertices(XyFunction function, float size, float[] vertices) {
-        final int arity = function.arity();
+        final int arity = function.getArity();
 
         final float minX = -size;
         final float maxX = size;

android-app/src/main/java/org/solovyev/android/calculator/plot/Graph3dView.java

@@ -174,18 +174,19 @@ public class Graph3dView extends GLView implements GraphView {
 
     @Override
     public void init(@NotNull FunctionViewDef functionViewDef) {
-        this.graphViewHelper = GraphViewHelper.newInstance(functionViewDef, Collections.<ArityPlotFunction>emptyList());
+        this.graphViewHelper = GraphViewHelper.newInstance(functionViewDef, Collections.<PlotFunction>emptyList());
     }
 
-    public void setFunctionPlotDefs(@NotNull List<ArityPlotFunction> functionPlotDefs) {
+    @Override
-        for (ArityPlotFunction functionPlotDef: functionPlotDefs) {
+    public void setPlotFunctions(@NotNull List<PlotFunction> plotFunctions) {
-            final int arity = functionPlotDef.getFunction().arity();
+        for (PlotFunction plotFunction: plotFunctions) {
+            final int arity = plotFunction.getXyFunction().getArity();
             if (arity != 0 && arity != 1 && arity != 2) {
                 throw new IllegalArgumentException("Function must have arity 0 or 1 or 2 for 3d plot!");
             }
         }
 
-        this.graphViewHelper = this.graphViewHelper.copy(functionPlotDefs);
+        this.graphViewHelper = this.graphViewHelper.copy(plotFunctions);
         zoomLevel = 1;
         isDirty = true;
     }

android-app/src/main/java/org/solovyev/android/calculator/plot/GraphView.java

@@ -12,7 +12,7 @@ public interface GraphView extends ZoomButtonsController.OnZoomListener, TouchHa
 
     public void init(@NotNull FunctionViewDef functionViewDef);
 
-    public void setFunctionPlotDefs(@NotNull List<ArityPlotFunction> functionPlotDefs);
+    public void setPlotFunctions(@NotNull List<PlotFunction> plotFunctions);
 
     public void onPause();
     public void onResume();

android-app/src/main/java/org/solovyev/android/calculator/plot/GraphViewHelper.java

@@ -16,7 +16,7 @@ public class GraphViewHelper {
     private FunctionViewDef functionViewDef = FunctionViewDef.newDefaultInstance();
 
     @NotNull
-    private List<ArityPlotFunction> functionPlotDefs = Collections.emptyList();
+    private List<PlotFunction> functionPlotDefs = Collections.emptyList();
 
     private GraphViewHelper() {
     }
@@ -28,27 +28,27 @@ public class GraphViewHelper {
 
     @NotNull
     public static GraphViewHelper newInstance(@NotNull FunctionViewDef functionViewDef,
-                                              @NotNull List<ArityPlotFunction> functionPlotDefs) {
+                                              @NotNull List<PlotFunction> plotFunctions) {
         final GraphViewHelper result = new GraphViewHelper();
 
         result.functionViewDef = functionViewDef;
-        result.functionPlotDefs = Collections.unmodifiableList(functionPlotDefs);
+        result.functionPlotDefs = Collections.unmodifiableList(plotFunctions);
 
         return result;
     }
 
     @NotNull
-    public GraphViewHelper copy(@NotNull List<ArityPlotFunction> newFunctionPlotDefs) {
+    public GraphViewHelper copy(@NotNull List<PlotFunction> plotFunctions) {
         final GraphViewHelper result = new GraphViewHelper();
 
         result.functionViewDef = functionViewDef;
-        result.functionPlotDefs = Collections.unmodifiableList(newFunctionPlotDefs);
+        result.functionPlotDefs = Collections.unmodifiableList(plotFunctions);
 
         return result;
     }
 
     @NotNull
-    public List<ArityPlotFunction> getFunctionPlotDefs() {
+    public List<PlotFunction> getFunctionPlotDefs() {
         return functionPlotDefs;
     }
 

android-app/src/main/java/org/solovyev/android/calculator/plot/PlotUtils.java

@@ -1,472 +0,0 @@
-/*
- * Copyright (c) 2009-2011. Created by serso aka se.solovyev.
- * For more information, please, contact se.solovyev@gmail.com
- * or visit http://se.solovyev.org
- */
-
-package org.solovyev.android.calculator.plot;
-
-import jscl.math.Expression;
-import jscl.math.Generic;
-import jscl.math.JsclInteger;
-import jscl.math.NumericWrapper;
-import jscl.math.function.Constant;
-import jscl.math.numeric.Complex;
-import jscl.math.numeric.Numeric;
-import jscl.math.numeric.Real;
-import org.achartengine.chart.CubicLineChart;
-import org.achartengine.chart.PointStyle;
-import org.achartengine.chart.ScatterChart;
-import org.achartengine.chart.XYChart;
-import org.achartengine.model.XYMultipleSeriesDataset;
-import org.achartengine.renderer.BasicStroke;
-import org.achartengine.renderer.XYMultipleSeriesRenderer;
-import org.achartengine.renderer.XYSeriesRenderer;
-import org.achartengine.util.MathHelper;
-import org.jetbrains.annotations.NotNull;
-import org.jetbrains.annotations.Nullable;
-import org.solovyev.android.calculator.Locator;
-import org.solovyev.android.calculator.R;
-import org.solovyev.common.msg.MessageType;
-import org.solovyev.common.text.StringUtils;
-
-import java.util.Arrays;
-
-/**
- * User: serso
- * Date: 12/5/11
- * Time: 8:58 PM
- */
-public final class PlotUtils {
-
-    private static final double MAX_Y_DIFF = 1;
-	private static final double MAX_X_DIFF = 1;
-    static final int DEFAULT_NUMBER_OF_STEPS = 100;
-
-    // not intended for instantiation
-	private PlotUtils() {
-		throw new AssertionError();
-	}
-
-	public static boolean addXY(double minValue,
-								double maxValue,
-								@NotNull Generic expression,
-								@Nullable Constant variable,
-								@NotNull MyXYSeries realSeries,
-								@Nullable MyXYSeries imagSeries,
-								boolean addExtra,
-								int numberOfSteps) {
-
-		boolean imagExists = false;
-
-		double min = Math.min(minValue, maxValue);
-		double max = Math.max(minValue, maxValue);
-		double dist = max - min;
-		if (addExtra) {
-			min = min - dist;
-			max = max + dist;
-		}
-
-        final double eps = 0.000000001;
-
-        final double defaultStep = Math.max(dist / numberOfSteps, eps);
-        double step = defaultStep;
-
-		final Point real = new Point();
-        final Point imag = new Point();
-
-		double x = min;
-
-        while (x <= max) {
-
-            boolean needToCalculateRealY = realSeries.needToAdd(step, x);
-
-			if (needToCalculateRealY) {
-				final Complex c = variable == null ? calculatorExpression(expression) : calculatorExpression(expression, variable, x);
-				Double y = prepareY(c.realPart());
-
-                if (y != null) {
-                    real.moveToNextPoint(x, y);
-                    addSingularityPoint(realSeries, real);
-					realSeries.add(x, y);
-				}
-
-				boolean needToCalculateImagY = imagSeries != null && imagSeries.needToAdd(step, x);
-				if (needToCalculateImagY) {
-					y = prepareY(c.imaginaryPart());
-					if (y != null) {
-                        imag.moveToNextPoint(x, y);
-                        addSingularityPoint(imagSeries, imag);
-						imagSeries.add(x, y);
-                    }
-					if (c.imaginaryPart() != 0d) {
-						imagExists = true;
-					}
-				}
-			} else {
-				boolean needToCalculateImagY = imagSeries != null && imagSeries.needToAdd(step, x);
-				if (needToCalculateImagY) {
-					final Complex c = variable == null ? calculatorExpression(expression) : calculatorExpression(expression, variable, x);
-					Double y = prepareY(c.imaginaryPart());
-					if (y != null) {
-                        imag.moveToNextPoint(x, y);
-                        addSingularityPoint(imagSeries, imag);
-						imagSeries.add(x, y);
-                    }
-					if (c.imaginaryPart() != 0d) {
-						imagExists = true;
-					}
-				}
-			}
-
-            step = updateStep(real, step, defaultStep / 2);
-
-            x += step;
-        }
-
-		return imagExists;
-	}
-
-    @NotNull
-    static String getImagFunctionName(@Nullable  Constant variable) {
-        if (variable != null) {
-            return "g(" + variable.getName() + ")" + " = " + "Im(ƒ(" + variable.getName() + "))";
-        } else {
-            return "g = Im(ƒ)";
-        }
-    }
-
-    @NotNull
-    private static String getRealFunctionName(@NotNull Generic expression, @Nullable  Constant variable) {
-        if (variable != null) {
-            return "ƒ(" + variable.getName() + ")" + " = " + expression.toString();
-        } else {
-            return "ƒ = " + expression.toString();
-        }
-    }
-
-    @NotNull
-    static XYChart prepareChart(final double minValue,
-                                final double maxValue,
-                                @NotNull final Generic expression,
-                                @Nullable final Constant variable,
-                                int bgColor,
-                                boolean interpolate,
-                                int realLineColor,
-                                int imagLineColor) {
-        final MyXYSeries realSeries = new MyXYSeries(getRealFunctionName(expression, variable), DEFAULT_NUMBER_OF_STEPS * 2);
-        final MyXYSeries imagSeries = new MyXYSeries(getImagFunctionName(variable), DEFAULT_NUMBER_OF_STEPS * 2);
-
-        boolean imagExists = addXY(minValue, maxValue, expression, variable, realSeries, imagSeries, false, DEFAULT_NUMBER_OF_STEPS);
-
-        final XYMultipleSeriesDataset data = new XYMultipleSeriesDataset();
-        data.addSeries(realSeries);
-        if (imagExists) {
-            data.addSeries(imagSeries);
-        }
-
-        final XYMultipleSeriesRenderer renderer = new XYMultipleSeriesRenderer();
-        renderer.setShowGrid(true);
-        renderer.setXTitle(variable != null ? variable.getName() : null);
-        if (variable != null) {
-            renderer.setYTitle("f(" + variable.getName() + ")");
-        } else {
-            renderer.setYTitle("f");
-        }
-        renderer.setChartTitleTextSize(25);
-        renderer.setAxisTitleTextSize(25);
-        renderer.setLabelsTextSize(25);
-        renderer.setLegendTextSize(25);
-        renderer.setMargins(new int[]{25, 25, 25, 25});
-        renderer.setApplyBackgroundColor(true);
-        renderer.setBackgroundColor(bgColor);
-        renderer.setMarginsColor(bgColor);
-
-        renderer.setZoomEnabled(true);
-        renderer.setZoomButtonsVisible(true);
-
-        renderer.addSeriesRenderer(createCommonRenderer(realLineColor));
-        if (imagExists) {
-            renderer.addSeriesRenderer(createImagRenderer(imagLineColor));
-        }
-
-        if (interpolate) {
-            return new CubicLineChart(data, renderer, 0.1f);
-        } else {
-            return new ScatterChart(data, renderer);
-        }
-    }
-
-    static XYSeriesRenderer createImagRenderer(int color) {
-        final XYSeriesRenderer imagRenderer = createCommonRenderer(color);
-        imagRenderer.setStroke(BasicStroke.DASHED);
-        return imagRenderer;
-    }
-
-    @NotNull
-    private static XYSeriesRenderer createCommonRenderer(int color) {
-        final XYSeriesRenderer renderer = new XYSeriesRenderer();
-        renderer.setFillPoints(true);
-        renderer.setPointStyle(PointStyle.CIRCLE);
-        renderer.setLineWidth(3);
-        renderer.setColor(color);
-        renderer.setStroke(BasicStroke.SOLID);
-        return renderer;
-    }
-
-    static void handleArithmeticException(@NotNull ArithmeticException e, @NotNull AbstractCalculatorPlotFragment calculatorPlotFragment) {
-        String message = e.getLocalizedMessage();
-        if (StringUtils.isEmpty(message)) {
-            message = e.getMessage();
-        }
-        Locator.getInstance().getNotifier().showMessage(R.string.arithmetic_error_while_plot, MessageType.error, Arrays.asList(message));
-        calculatorPlotFragment.onError();
-    }
-
-    private static class Point {
-        private static final double DEFAULT = Double.MIN_VALUE;
-
-        private double x0 = DEFAULT;
-        private double x1 = DEFAULT;
-        private double x2 = DEFAULT;
-
-        private double y0 = DEFAULT;
-        private double y1 = DEFAULT;
-        private double y2 = DEFAULT;
-
-        private Point() {
-        }
-
-        public void moveToNextPoint(double x, double y) {
-            if ( this.x2 == x ) {
-                return;
-            }
-
-            this.x0 = this.x1;
-            this.x1 = this.x2;
-            this.x2 = x;
-
-            this.y0 = this.y1;
-            this.y1 = this.y2;
-            this.y2 = y;
-        }
-
-        public boolean isFullyDefined() {
-            return x0 != DEFAULT && x1 != DEFAULT && x2 != DEFAULT && y0 != DEFAULT && y1 != DEFAULT && y2 != DEFAULT;
-        }
-
-        public double getDx2() {
-            return x2 - x1;
-        }
-
-        public double getAbsDx2() {
-            if ( x2 > x1 ) {
-                return Math.abs(x2 - x1);
-            } else {
-                return Math.abs(x1 - x2);
-            }
-        }
-
-        public double getAbsDx1() {
-            if ( x1 > x0 ) {
-                return Math.abs(x1 - x0);
-            } else {
-                return Math.abs(x0 - x1);
-            }
-        }
-
-        public double getAbsDy1() {
-            if ( y1 > y0 ) {
-                return Math.abs(y1 - y0);
-            } else {
-                return Math.abs(y0 - y1);
-            }
-        }
-
-        public double getAbsDy2() {
-            if ( y2 > y1 ) {
-                return Math.abs(y2 - y1);
-            } else {
-                return Math.abs(y1 - y2);
-            }
-        }
-
-        public double getX0() {
-            return x0;
-        }
-
-        public double getX1() {
-            return x1;
-        }
-
-        public double getX2() {
-            return x2;
-        }
-
-        public boolean isX2Defined() {
-            return x2 != DEFAULT;
-        }
-
-        public double getY0() {
-            return y0;
-        }
-
-        public double getY1() {
-            return y1;
-        }
-
-        public double getY2() {
-            return y2;
-        }
-
-        public void clearHistory () {
-            this.x0 = DEFAULT;
-            this.x1 = DEFAULT;
-            this.y0 = DEFAULT;
-            this.y1 = DEFAULT;
-        }
-
-        public double getAbsDyDx2() {
-            double dx2 = this.getAbsDx2();
-            double dy2 = this.getAbsDy2();
-            return dy2 / dx2;
-        }
-
-        public double getAbsDyDx1() {
-            double dx1 = this.getAbsDx1();
-            double dy1 = this.getAbsDy1();
-            return dy1 / dx1;
-        }
-
-        public double getDyDx1() {
-            double result = getAbsDyDx1();
-            return y1 > y0 ? result : -result;
-        }
-
-        public double getDyDx2() {
-            double result = getAbsDyDx2();
-            return y2 > y1 ? result : -result;
-        }
-
-        @Override
-        public String toString() {
-            return "Point{" +
-                    "x0=" + x0 +
-                    ", x1=" + x1 +
-                    ", x2=" + x2 +
-                    ", y0=" + y0 +
-                    ", y1=" + y1 +
-                    ", y2=" + y2 +
-                    '}';
-        }
-    }
-
-    private static double updateStep(@NotNull Point real,
-                                     double step,
-                                     double eps) {
-        if ( !real.isFullyDefined() ) {
-            return step;
-        } else {
-            double dydx2 = real.getAbsDyDx2();
-            double dydx1 = real.getAbsDyDx1();
-
-            double k = dydx2 / dydx1;
-
-            if ( k > 1 ) {
-                step = step / k;
-            } else if ( k > 0 ) {
-                step = step * k;
-            }
-
-            return Math.max(step, eps);
-        }
-    }
-
-    @NotNull
-    public static Complex calculatorExpression(@NotNull Generic expression) {
-        try {
-            return unwrap(expression.numeric());
-        } catch (RuntimeException e) {
-            return NaN;
-        }
-    }
-
-    @NotNull
-	public static Complex calculatorExpression(@NotNull Generic expression, @NotNull Constant xVar, double x) {
-        try {
-            return unwrap(expression.substitute(xVar, Expression.valueOf(x)).numeric());
-        } catch (RuntimeException e) {
-            return NaN;
-        }
-    }
-
-    @NotNull
-    public static Complex calculatorExpression(@NotNull Generic expression, @NotNull Constant xVar, double x, @NotNull Constant yVar, double y) {
-        try {
-            Generic tmp = expression.substitute(xVar, Expression.valueOf(x));
-            tmp = tmp.substitute(yVar, Expression.valueOf(y));
-            return unwrap(tmp.numeric());
-        } catch (RuntimeException e) {
-            return NaN;
-        }
-    }
-
-	public static void addSingularityPoint(@NotNull MyXYSeries series,
-                                           @NotNull Point point) {
-		if (point.isFullyDefined()) {
-			// y or prevY should be more than 1d because if they are too small false singularity may occur (e.g., 1/0.000000000000000001)
-           // double dy0 = y1 - y0;
-           // double dx0 = x1 - x0;
-           // double dydx0 = dy0 / dx0;
-
-            double dy2 = point.getAbsDy2();
-            double dx2 = point.getAbsDx2();
-            //double dx1 = x2 - x1;
-           // double dydx1 = dy2 / dx1;
-
-            if ( dy2 > MAX_Y_DIFF && dx2 < MAX_X_DIFF && isDifferentSign(point.getY2(), point.getY1()) && isDifferentSign(point.getDyDx1(), point.getDyDx2())) {
-				//Log.d(CalculatorPlotActivity.class.getName(), "Singularity: " + point);
-				//Log.d(CalculatorPlotActivity.class.getName(), String.valueOf(prevX + Math.abs(x - prevX) / 2) +  ", null");
-				series.add(point.getX1() + point.getAbsDx2() / 2, MathHelper.NULL_VALUE);
-                point.clearHistory();
-			}
-		}
-	}
-
-    private static boolean isDifferentSign(@NotNull Double y0, @NotNull Double y1) {
-        return (y0 >= 0 && y1 < 0) || (y1 >= 0 && y0 < 0);
-    }
-
-    @Nullable
-	public static Double prepareY(double y) {
-		if (Double.isNaN(y)) {
-			return null;
-		} else {
-			return y;
-		}
-	}
-
-    private static final Complex NaN = Complex.valueOf(Double.NaN, 0d);
-
-    @NotNull
-	public static Complex unwrap(@Nullable Generic numeric) {
-		if (numeric instanceof JsclInteger) {
-			return Complex.valueOf(((JsclInteger) numeric).intValue(), 0d);
-		} else if (numeric instanceof NumericWrapper) {
-			return unwrap(((NumericWrapper) numeric).content());
-		} else {
-			return NaN;
-		}
-	}
-
-	@NotNull
-	public static Complex unwrap(@Nullable Numeric content) {
-		if (content instanceof Real) {
-			return Complex.valueOf(((Real) content).doubleValue(), 0d);
-		} else if (content instanceof Complex) {
-			return ((Complex) content);
-		} else {
-			throw new ArithmeticException();
-		}
-	}
-}

core/src/main/java/org/solovyev/android/calculator/plot/FunctionEvaluator.java

@@ -0,0 +1,13 @@
+package org.solovyev.android.calculator.plot;
+
+/**
+* User: serso
+* Date: 1/18/13
+* Time: 7:44 PM
+*/
+interface FunctionEvaluator {
+    int getArity();
+    double eval();
+    double eval(double x);
+    double eval(double x, double y);
+}

core/src/main/java/org/solovyev/android/calculator/plot/PlotData.java

@@ -1,5 +1,7 @@
 package org.solovyev.android.calculator.plot;
 
+import org.jetbrains.annotations.NotNull;
+
 import java.util.List;
 
 /**
@@ -9,15 +11,17 @@ import java.util.List;
  */
 public class PlotData {
 
+    @NotNull
     private List<PlotFunction> functions;
 
     private boolean plot3d;
 
-    public PlotData(List<PlotFunction> functions, boolean plot3d) {
+    public PlotData(@NotNull List<PlotFunction> functions, boolean plot3d) {
         this.functions = functions;
         this.plot3d = plot3d;
     }
 
+    @NotNull
     public List<PlotFunction> getFunctions() {
         return functions;
     }

core/src/main/java/org/solovyev/android/calculator/plot/PlotUtils.java

@@ -0,0 +1,84 @@
+/*
+ * Copyright (c) 2009-2011. Created by serso aka se.solovyev.
+ * For more information, please, contact se.solovyev@gmail.com
+ * or visit http://se.solovyev.org
+ */
+
+package org.solovyev.android.calculator.plot;
+
+import jscl.math.Expression;
+import jscl.math.Generic;
+import jscl.math.JsclInteger;
+import jscl.math.NumericWrapper;
+import jscl.math.function.Constant;
+import jscl.math.numeric.Complex;
+import jscl.math.numeric.Numeric;
+import jscl.math.numeric.Real;
+import org.jetbrains.annotations.NotNull;
+import org.jetbrains.annotations.Nullable;
+
+/**
+ * User: serso
+ * Date: 12/5/11
+ * Time: 8:58 PM
+ */
+public final class PlotUtils {
+
+    // not intended for instantiation
+	private PlotUtils() {
+		throw new AssertionError();
+	}
+
+    @NotNull
+    public static Complex calculatorExpression(@NotNull Generic expression) {
+        try {
+            return unwrap(expression.numeric());
+        } catch (RuntimeException e) {
+            return NaN;
+        }
+    }
+
+    @NotNull
+	public static Complex calculatorExpression(@NotNull Generic expression, @NotNull Constant xVar, double x) {
+        try {
+            return unwrap(expression.substitute(xVar, Expression.valueOf(x)).numeric());
+        } catch (RuntimeException e) {
+            return NaN;
+        }
+    }
+
+    @NotNull
+    public static Complex calculatorExpression(@NotNull Generic expression, @NotNull Constant xVar, double x, @NotNull Constant yVar, double y) {
+        try {
+            Generic tmp = expression.substitute(xVar, Expression.valueOf(x));
+            tmp = tmp.substitute(yVar, Expression.valueOf(y));
+            return unwrap(tmp.numeric());
+        } catch (RuntimeException e) {
+            return NaN;
+        }
+    }
+
+    private static final Complex NaN = Complex.valueOf(Double.NaN, 0d);
+
+    @NotNull
+	public static Complex unwrap(@Nullable Generic numeric) {
+		if (numeric instanceof JsclInteger) {
+			return Complex.valueOf(((JsclInteger) numeric).intValue(), 0d);
+		} else if (numeric instanceof NumericWrapper) {
+			return unwrap(((NumericWrapper) numeric).content());
+		} else {
+			return NaN;
+		}
+	}
+
+	@NotNull
+	public static Complex unwrap(@Nullable Numeric content) {
+		if (content instanceof Real) {
+			return Complex.valueOf(((Real) content).doubleValue(), 0d);
+		} else if (content instanceof Complex) {
+			return ((Complex) content);
+		} else {
+			throw new ArithmeticException();
+		}
+	}
+}

core/src/main/java/org/solovyev/android/calculator/plot/XyFunction.java

@@ -6,7 +6,7 @@ import org.jetbrains.annotations.NotNull;
 import org.jetbrains.annotations.Nullable;
 import org.solovyev.common.text.StringUtils;
 
-public class XyFunction {
+public class XyFunction implements FunctionEvaluator {
 
 	/*
 	**********************************************************************
@@ -41,6 +41,9 @@ public class XyFunction {
 
     private int arity;
 
+    @NotNull
+    private final FunctionEvaluator evaluator;
+
 	public XyFunction(@NotNull Generic expression,
                       @Nullable Constant xVariable,
                       @Nullable Constant yVariable,
@@ -52,8 +55,10 @@ public class XyFunction {
 
         if (imag) {
             this.expressionString = "Im(" + expression.toString() + ")";
+            this.evaluator = new ImaginaryEvaluator(this);
         } else {
             this.expressionString = expression.toString();
+            this.evaluator = new RealEvaluator(this);
         }
         this.xVariableName = xVariable == null ? null : xVariable.getName();
 		this.yVariableName = yVariable == null ? null : yVariable.getName();
@@ -74,10 +79,26 @@ public class XyFunction {
         return imag;
     }
 
+    @Override
     public int getArity() {
         return arity;
     }
 
+    @Override
+    public double eval() {
+        return evaluator.eval();
+    }
+
+    @Override
+    public double eval(double x) {
+        return evaluator.eval(x);
+    }
+
+    @Override
+    public double eval(double x, double y) {
+        return evaluator.eval(x, y);
+    }
+
     @NotNull
     public Generic getExpression() {
         return expression;
@@ -113,7 +134,6 @@ public class XyFunction {
 		return yVariableName;
 	}
 
-
     @Override
 	public boolean equals(Object o) {
 		if (this == o) return true;
@@ -130,4 +150,85 @@ public class XyFunction {
 	public int hashCode() {
 		return id.hashCode();
 	}
+
+    /*
+    **********************************************************************
+    *
+    *                           STATIC
+    *
+    **********************************************************************
+    */
+
+    private static abstract class AbstractEvaluator implements FunctionEvaluator {
+
+        @NotNull
+        protected final XyFunction xyFunction;
+
+        @Nullable
+        private Double constant = null;
+
+        public AbstractEvaluator(@NotNull XyFunction xyFunction) {
+            this.xyFunction = xyFunction;
+        }
+
+        @Override
+        public final double eval() {
+            if (constant == null) {
+                constant = eval0();
+            }
+            return constant;
+        }
+
+        protected abstract double eval0();
+
+        @Override
+        public final int getArity() {
+            return xyFunction.getArity();
+        }
+
+    }
+
+    private static class RealEvaluator extends AbstractEvaluator {
+
+        private RealEvaluator(@NotNull XyFunction xyFunction) {
+            super(xyFunction);
+        }
+
+        @Override
+        public double eval0() {
+            return PlotUtils.calculatorExpression(xyFunction.expression).realPart();
+        }
+
+        @Override
+        public double eval(double x) {
+            return PlotUtils.calculatorExpression(xyFunction.expression, xyFunction.xVariable, x).realPart();
+        }
+
+        @Override
+        public double eval(double x, double y) {
+            return PlotUtils.calculatorExpression(xyFunction.expression, xyFunction.xVariable, x, xyFunction.yVariable, y).realPart();
+        }
+    }
+
+    private static class ImaginaryEvaluator extends AbstractEvaluator {
+
+        private ImaginaryEvaluator(@NotNull XyFunction xyFunction) {
+            super(xyFunction);
+        }
+
+        @Override
+        public double eval0() {
+            return PlotUtils.calculatorExpression(xyFunction.expression).imaginaryPart();
+        }
+
+        @Override
+        public double eval(double x) {
+            return PlotUtils.calculatorExpression(xyFunction.expression, xyFunction.xVariable, x).imaginaryPart();
+        }
+
+        @Override
+        public double eval(double x, double y) {
+            return PlotUtils.calculatorExpression(xyFunction.expression, xyFunction.xVariable, x, xyFunction.yVariable, y).imaginaryPart();
+        }
+    }
 }