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 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
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package javafx.scene.chart;

import com.sun.javafx.scene.NodeHelper;
import javafx.css.Styleable;
import javafx.css.CssMetaData;
import javafx.css.PseudoClass;
import javafx.css.StyleableBooleanProperty;
import javafx.css.StyleableDoubleProperty;
import javafx.css.StyleableObjectProperty;

import javafx.css.converter.BooleanConverter;
import javafx.css.converter.EnumConverter;
import javafx.css.converter.PaintConverter;
import javafx.css.converter.SizeConverter;

import java.util.*;

import javafx.animation.FadeTransition;
import javafx.beans.binding.DoubleExpression;
import javafx.beans.binding.ObjectExpression;
import javafx.beans.binding.StringExpression;
import javafx.beans.property.*;
import javafx.beans.value.WritableValue;
import javafx.collections.FXCollections;
import javafx.collections.ObservableList;
import javafx.css.FontCssMetaData;
import javafx.css.StyleableProperty;
import javafx.geometry.Bounds;
import javafx.geometry.Dimension2D;
import javafx.geometry.Orientation;
import javafx.geometry.Pos;
import javafx.geometry.Side;
import javafx.scene.control.Label;
import javafx.scene.layout.Region;
import javafx.scene.paint.Color;
import javafx.scene.paint.Paint;
import javafx.scene.shape.LineTo;
import javafx.scene.shape.MoveTo;
import javafx.scene.shape.Path;
import javafx.scene.text.Font;
import javafx.scene.text.Text;
import javafx.scene.transform.Rotate;
import javafx.scene.transform.Translate;
import javafx.util.Duration;


Base class for all axes in JavaFX that represents an axis drawn on a chart area.
It holds properties for axis auto ranging, ticks and labels along the axis.
 Some examples of concrete subclasses include NumberAxis whose axis plots data in numbers and CategoryAxis whose values / ticks represent string categories along its axis. 
Since:
JavaFX 2.0/**
 * Base class for all axes in JavaFX that represents an axis drawn on a chart area.
 * It holds properties for axis auto ranging, ticks and labels along the axis.
 * <p>
 * Some examples of concrete subclasses include {@link NumberAxis} whose axis plots data
 * in numbers and {@link CategoryAxis} whose values / ticks represent string
 * categories along its axis.
 * @since JavaFX 2.0
 */
public abstract class Axis<T> extends Region {

    // -------------- PRIVATE FIELDS -----------------------------------------------------------------------------------

    Text measure = new Text();
    private Orientation effectiveOrientation;
    private double effectiveTickLabelRotation = Double.NaN;
    private Label axisLabel = new Label();
    private final Path tickMarkPath = new Path();
    private double oldLength = 0;
    
True when the current range invalid and all dependent calculations need to be updated /** True when the current range invalid and all dependent calculations need to be updated */
    boolean rangeValid = false;
    boolean measureInvalid = false;
    boolean tickLabelsVisibleInvalid = false;

    private BitSet labelsToSkip = new BitSet();

    // -------------- PUBLIC PROPERTIES --------------------------------------------------------------------------------

    private final ObservableList<TickMark<T>> tickMarks = FXCollections.observableArrayList();
    private final ObservableList<TickMark<T>> unmodifiableTickMarks = FXCollections.unmodifiableObservableList(tickMarks);
    
Unmodifiable observable list of tickmarks, each TickMark directly representing a tickmark on this axis. This is updated
whenever the displayed tickmarks changes.
Returns:
Unmodifiable observable list of TickMarks on this axis/**
     * Unmodifiable observable list of tickmarks, each TickMark directly representing a tickmark on this axis. This is updated
     * whenever the displayed tickmarks changes.
     *
     * @return Unmodifiable observable list of TickMarks on this axis
     */
    public ObservableList<TickMark<T>> getTickMarks() { return unmodifiableTickMarks; }

    
The side of the plot which this axis is being drawn on /** The side of the plot which this axis is being drawn on */
    private ObjectProperty<Side> side = new StyleableObjectProperty<Side>(){
        @Override protected void invalidated() {
            // cause refreshTickMarks
            Side edge = get();
            pseudoClassStateChanged(TOP_PSEUDOCLASS_STATE, edge == Side.TOP);
            pseudoClassStateChanged(RIGHT_PSEUDOCLASS_STATE, edge == Side.RIGHT);
            pseudoClassStateChanged(BOTTOM_PSEUDOCLASS_STATE, edge == Side.BOTTOM);
            pseudoClassStateChanged(LEFT_PSEUDOCLASS_STATE, edge == Side.LEFT);
            requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Side> getCssMetaData() {
            return StyleableProperties.SIDE;
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "side";
        }
    };
    public final Side getSide() { return side.get(); }
    public final void setSide(Side value) { side.set(value); }
    public final ObjectProperty<Side> sideProperty() { return side; }

    final void setEffectiveOrientation(Orientation orientation) {
        effectiveOrientation = orientation;
    }

    final Side getEffectiveSide() {
        final Side side = getSide();
        if (side == null || (side.isVertical() && effectiveOrientation == Orientation.HORIZONTAL)
                || side.isHorizontal() && effectiveOrientation == Orientation.VERTICAL) {
            // Means side == null && effectiveOrientation == null produces Side.BOTTOM
            return effectiveOrientation == Orientation.VERTICAL ? Side.LEFT : Side.BOTTOM;
        }
        return side;
    }

    
The axis label /** The axis label */
    private ObjectProperty<String> label = new ObjectPropertyBase<String>() {
        @Override protected void invalidated() {
            axisLabel.setText(get());
            requestAxisLayout();
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "label";
        }
    };
    public final String getLabel() { return label.get(); }
    public final void setLabel(String value) { label.set(value); }
    public final ObjectProperty<String> labelProperty() { return label; }

    
true if tick marks should be displayed /** true if tick marks should be displayed */
    private BooleanProperty tickMarkVisible = new StyleableBooleanProperty(true) {
        @Override protected void invalidated() {
            tickMarkPath.setVisible(get());
            requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Boolean> getCssMetaData() {
            return StyleableProperties.TICK_MARK_VISIBLE;
        }
        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickMarkVisible";
        }
    };
    public final boolean isTickMarkVisible() { return tickMarkVisible.get(); }
    public final void setTickMarkVisible(boolean value) { tickMarkVisible.set(value); }
    public final BooleanProperty tickMarkVisibleProperty() { return tickMarkVisible; }

    
true if tick mark labels should be displayed /** true if tick mark labels should be displayed */
    private BooleanProperty tickLabelsVisible = new StyleableBooleanProperty(true) {
        @Override protected void invalidated() {
            // update textNode visibility for each tick
            for (TickMark<T> tick : tickMarks) {
                tick.setTextVisible(get());
            }
            tickLabelsVisibleInvalid = true;
            requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Boolean> getCssMetaData() {
            return StyleableProperties.TICK_LABELS_VISIBLE;
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLabelsVisible";
        }
    };
    public final boolean isTickLabelsVisible() { return tickLabelsVisible.get(); }
    public final void setTickLabelsVisible(boolean value) {
        tickLabelsVisible.set(value); }
    public final BooleanProperty tickLabelsVisibleProperty() { return tickLabelsVisible; }

    
The length of tick mark lines /** The length of tick mark lines */
    private DoubleProperty tickLength = new StyleableDoubleProperty(8) {
        @Override protected void invalidated() {
            if (tickLength.get() < 0 && !tickLength.isBound()) {
                tickLength.set(0);
            }
            // this effects preferred size so request layout
            requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Number> getCssMetaData() {
            return StyleableProperties.TICK_LENGTH;
        }
        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLength";
        }
    };
    public final double getTickLength() { return tickLength.get(); }
    public final void setTickLength(double value) { tickLength.set(value); }
    public final DoubleProperty tickLengthProperty() { return tickLength; }

    
This is true when the axis determines its range from the data automatically /** This is true when the axis determines its range from the data automatically */
    private BooleanProperty autoRanging = new BooleanPropertyBase(true) {
        @Override protected void invalidated() {
            if(get()) {
                // auto range turned on, so need to auto range now
//                autoRangeValid = false;
                requestAxisLayout();
            }
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "autoRanging";
        }
    };
    public final boolean isAutoRanging() { return autoRanging.get(); }
    public final void setAutoRanging(boolean value) { autoRanging.set(value); }
    public final BooleanProperty autoRangingProperty() { return autoRanging; }

    
The font for all tick labels /** The font for all tick labels */
    private ObjectProperty<Font> tickLabelFont = new StyleableObjectProperty<Font>(Font.font("System",8)) {
        @Override protected void invalidated() {
            Font f = get();
            measure.setFont(f);
            for(TickMark<T> tm : getTickMarks()) {
                tm.textNode.setFont(f);
            }
            measureInvalid = true;
            requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Font> getCssMetaData() {
            return StyleableProperties.TICK_LABEL_FONT;
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLabelFont";
        }
    };
    public final Font getTickLabelFont() { return tickLabelFont.get(); }
    public final void setTickLabelFont(Font value) { tickLabelFont.set(value); }
    public final ObjectProperty<Font> tickLabelFontProperty() { return tickLabelFont; }

    
The fill for all tick labels /** The fill for all tick labels */
    private ObjectProperty<Paint> tickLabelFill = new StyleableObjectProperty<Paint>(Color.BLACK) {
        @Override protected void invalidated() {
            for (TickMark<T> tick : tickMarks) {
                tick.textNode.setFill(getTickLabelFill());
            }
        }

        @Override
        public CssMetaData<Axis<?>,Paint> getCssMetaData() {
            return StyleableProperties.TICK_LABEL_FILL;
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLabelFill";
        }
    };
    public final Paint getTickLabelFill() { return tickLabelFill.get(); }
    public final void setTickLabelFill(Paint value) { tickLabelFill.set(value); }
    public final ObjectProperty<Paint> tickLabelFillProperty() { return tickLabelFill; }

    
The gap between tick labels and the tick mark lines /** The gap between tick labels and the tick mark lines */
    private DoubleProperty tickLabelGap = new StyleableDoubleProperty(3) {
        @Override protected void invalidated() {
           requestAxisLayout();
        }

        @Override
        public CssMetaData<Axis<?>,Number> getCssMetaData() {
            return StyleableProperties.TICK_LABEL_TICK_GAP;
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLabelGap";
        }
    };
    public final double getTickLabelGap() { return tickLabelGap.get(); }
    public final void setTickLabelGap(double value) { tickLabelGap.set(value); }
    public final DoubleProperty tickLabelGapProperty() { return tickLabelGap; }

    
When true any changes to the axis and its range will be animated.
/**
     * When true any changes to the axis and its range will be animated.
     */
    private BooleanProperty animated = new SimpleBooleanProperty(this, "animated", true);

    
Indicates whether the changes to axis range will be animated or not.
Returns:
true if axis range changes will be animated and false otherwise/**
     * Indicates whether the changes to axis range will be animated or not.
     *
     * @return true if axis range changes will be animated and false otherwise
     */
    public final boolean getAnimated() { return animated.get(); }
    public final void setAnimated(boolean value) { animated.set(value); }
    public final BooleanProperty animatedProperty() { return animated; }

    
Rotation in degrees of tick mark labels from their normal horizontal.
/**
     * Rotation in degrees of tick mark labels from their normal horizontal.
     */
    private DoubleProperty tickLabelRotation = new DoublePropertyBase(0) {
        @Override protected void invalidated() {
            if (isAutoRanging()) {
                invalidateRange(); // NumberAxis and CategoryAxis use this property in autorange
            }
            requestAxisLayout();
        }

        @Override
        public Object getBean() {
            return Axis.this;
        }

        @Override
        public String getName() {
            return "tickLabelRotation";
        }
    };
    public final double getTickLabelRotation() { return tickLabelRotation.getValue(); }
    public final void setTickLabelRotation(double value) { tickLabelRotation.setValue(value); }
    public final DoubleProperty tickLabelRotationProperty() { return tickLabelRotation; }

    // -------------- CONSTRUCTOR --------------------------------------------------------------------------------------

    
Creates and initializes a new instance of the Axis class.
/**
     * Creates and initializes a new instance of the Axis class.
     */
    public Axis() {
        getStyleClass().setAll("axis");
        axisLabel.getStyleClass().add("axis-label");
        axisLabel.setAlignment(Pos.CENTER);
        tickMarkPath.getStyleClass().add("axis-tick-mark");
        getChildren().addAll(axisLabel, tickMarkPath);
    }

    // -------------- METHODS ------------------------------------------------------------------------------------------

    
See if the current range is valid, if it is not then any range dependent calulcations need to redone on the next layout pass
Returns:
true if current range calculations are valid/**
     * See if the current range is valid, if it is not then any range dependent calulcations need to redone on the next layout pass
     *
     * @return true if current range calculations are valid
     */
    protected final boolean isRangeValid() { return rangeValid; }

    
Mark the current range invalid, this will cause anything that depends on the range to be recalculated on the
next layout.
/**
     * Mark the current range invalid, this will cause anything that depends on the range to be recalculated on the
     * next layout.
     */
    protected final void invalidateRange() { rangeValid = false; }

    
This is used to check if any given animation should run. It returns true if animation is enabled and the node
is visible and in a scene.
Returns:
true if animations should happen/**
     * This is used to check if any given animation should run. It returns true if animation is enabled and the node
     * is visible and in a scene.
     *
     * @return true if animations should happen
     */
    protected final boolean shouldAnimate(){
        return getAnimated() && NodeHelper.isTreeShowing(this);
    }

    
We suppress requestLayout() calls here by doing nothing as we don't want changes to our children to cause
layout. If you really need to request layout then call requestAxisLayout().
/**
     * We suppress requestLayout() calls here by doing nothing as we don't want changes to our children to cause
     * layout. If you really need to request layout then call requestAxisLayout().
     */
    @Override public void requestLayout() {}

    
Request that the axis is laid out in the next layout pass. This replaces requestLayout() as it has been
overridden to do nothing so that changes to children's bounds etc do not cause a layout. This was done as a
optimization as the Axis knows the exact minimal set of changes that really need layout to be updated. So we
only want to request layout then, not on any child change.
/**
     * Request that the axis is laid out in the next layout pass. This replaces requestLayout() as it has been
     * overridden to do nothing so that changes to children's bounds etc do not cause a layout. This was done as a
     * optimization as the Axis knows the exact minimal set of changes that really need layout to be updated. So we
     * only want to request layout then, not on any child change.
     */
    public void requestAxisLayout() {
        super.requestLayout();
    }

    
Called when data has changed and the range may not be valid any more. This is only called by the chart if
isAutoRanging() returns true. If we are auto ranging it will cause layout to be requested and auto ranging to
happen on next layout pass.
Params:
data – The current set of all data that needs to be plotted on this axis/**
     * Called when data has changed and the range may not be valid any more. This is only called by the chart if
     * isAutoRanging() returns true. If we are auto ranging it will cause layout to be requested and auto ranging to
     * happen on next layout pass.
     *
     * @param data The current set of all data that needs to be plotted on this axis
     */
    public void invalidateRange(List<T> data) {
        invalidateRange();
        requestAxisLayout();
    }

    
This calculates the upper and lower bound based on the data provided to invalidateRange() method. This must not
effect the state of the axis, changing any properties of the axis. Any results of the auto-ranging should be
returned in the range object. This will we passed to setRange() if it has been decided to adopt this range for
this axis.
Params:
length – The length of the axis in screen coordinates
Returns:
Range information, this is implementation dependent/**
     * This calculates the upper and lower bound based on the data provided to invalidateRange() method. This must not
     * effect the state of the axis, changing any properties of the axis. Any results of the auto-ranging should be
     * returned in the range object. This will we passed to setRange() if it has been decided to adopt this range for
     * this axis.
     *
     * @param length The length of the axis in screen coordinates
     * @return Range information, this is implementation dependent
     */
    protected abstract Object autoRange(double length);

    
Called to set the current axis range to the given range. If isAnimating() is true then this method should
animate the range to the new range.
Params:
range – A range object returned from autoRange()
animate – If true animate the change in range/**
     * Called to set the current axis range to the given range. If isAnimating() is true then this method should
     * animate the range to the new range.
     *
     * @param range A range object returned from autoRange()
     * @param animate If true animate the change in range
     */
    protected abstract void setRange(Object range, boolean animate);

    
Called to get the current axis range.
Returns:
A range object that can be passed to setRange() and calculateTickValues()/**
     * Called to get the current axis range.
     *
     * @return A range object that can be passed to setRange() and calculateTickValues()
     */
    protected abstract Object getRange();

    
Get the display position of the zero line along this axis.
Returns:
display position or Double.NaN if zero is not in current range;/**
     * Get the display position of the zero line along this axis.
     *
     * @return display position or Double.NaN if zero is not in current range;
     */
    public abstract double getZeroPosition();

    
Get the display position along this axis for a given value.
If the value is not in the current range, the returned value will be an extrapolation of the display
position.
If the value is not valid for this Axis and the axis cannot display such value in any range,
Double.NaN is returned
Params:
value – The data value to work out display position for
Returns:
display position or Double.NaN if value not valid/**
     * Get the display position along this axis for a given value.
     * If the value is not in the current range, the returned value will be an extrapolation of the display
     * position.
     *
     * If the value is not valid for this Axis and the axis cannot display such value in any range,
     * Double.NaN is returned
     *
     * @param value The data value to work out display position for
     * @return display position or Double.NaN if value not valid
     */
    public abstract double getDisplayPosition(T value);

    
Get the data value for the given display position on this axis. If the axis
is a CategoryAxis this will be the nearest value.
Params:
displayPosition – A pixel position on this axis
Returns:
the nearest data value to the given pixel position or
        null if not on axis;/**
     * Get the data value for the given display position on this axis. If the axis
     * is a CategoryAxis this will be the nearest value.
     *
     * @param  displayPosition A pixel position on this axis
     * @return the nearest data value to the given pixel position or
     *         null if not on axis;
     */
    public abstract T getValueForDisplay(double displayPosition);

    
Checks if the given value is plottable on this axis
Params:
value – The value to check if its on axis
Returns:
true if the given value is plottable on this axis/**
     * Checks if the given value is plottable on this axis
     *
     * @param value The value to check if its on axis
     * @return true if the given value is plottable on this axis
     */
    public abstract boolean isValueOnAxis(T value);

    
All axis values must be representable by some numeric value. This gets the numeric value for a given data value.
Params:
value – The data value to convert
Returns:
Numeric value for the given data value/**
     * All axis values must be representable by some numeric value. This gets the numeric value for a given data value.
     *
     * @param value The data value to convert
     * @return Numeric value for the given data value
     */
    public abstract double toNumericValue(T value);

    
All axis values must be representable by some numeric value. This gets the data value for a given numeric value.
Params:
value – The numeric value to convert
Returns:
Data value for given numeric value/**
     * All axis values must be representable by some numeric value. This gets the data value for a given numeric value.
     *
     * @param value The numeric value to convert
     * @return Data value for given numeric value
     */
    public abstract T toRealValue(double value);

    
Calculate a list of all the data values for each tick mark in range
Params:
length – The length of the axis in display units
range – A range object returned from autoRange()
Returns:
A list of tick marks that fit along the axis if it was the given length/**
     * Calculate a list of all the data values for each tick mark in range
     *
     * @param length The length of the axis in display units
     * @param range A range object returned from autoRange()
     * @return A list of tick marks that fit along the axis if it was the given length
     */
    protected abstract List<T> calculateTickValues(double length, Object range);

    
Computes the preferred height of this axis for the given width. If axis orientation
is horizontal, it takes into account the tick mark length, tick label gap and
label height.
Returns:
the computed preferred width for this axis/**
     * Computes the preferred height of this axis for the given width. If axis orientation
     * is horizontal, it takes into account the tick mark length, tick label gap and
     * label height.
     *
     * @return the computed preferred width for this axis
     */
    @Override protected double computePrefHeight(double width) {
        final Side side = getEffectiveSide();
        if (side.isVertical()) {
            // TODO for now we have no hard and fast answer here, I guess it should work
            // TODO out the minimum size needed to display min, max and zero tick mark labels.
            return 100;
        } else { // HORIZONTAL
            // we need to first auto range as this may/will effect tick marks
            Object range = autoRange(width);
            // calculate max tick label height
            double maxLabelHeight = 0;
            // calculate the new tick marks
            if (isTickLabelsVisible()) {
                final List<T> newTickValues = calculateTickValues(width, range);
                for (T value: newTickValues) {
                    maxLabelHeight = Math.max(maxLabelHeight,measureTickMarkSize(value, range).getHeight());
                }
            }
            // calculate tick mark length
            final double tickMarkLength = isTickMarkVisible() ? (getTickLength() > 0) ? getTickLength() : 0 : 0;
            // calculate label height
            final double labelHeight =
                    axisLabel.getText() == null || axisLabel.getText().length() == 0 ?
                    0 : axisLabel.prefHeight(-1);
            return maxLabelHeight + getTickLabelGap() + tickMarkLength + labelHeight;
        }
    }

    
Computes the preferred width of this axis for the given height. If axis orientation
is vertical, it takes into account the tick mark length, tick label gap and
label height.
Returns:
the computed preferred width for this axis/**
     * Computes the preferred width of this axis for the given height. If axis orientation
     * is vertical, it takes into account the tick mark length, tick label gap and
     * label height.
     *
     * @return the computed preferred width for this axis
     */
    @Override protected double computePrefWidth(double height) {
        final Side side = getEffectiveSide();
        if (side.isVertical()) {
            // we need to first auto range as this may/will effect tick marks
            Object range = autoRange(height);
            // calculate max tick label width
            double maxLabelWidth = 0;
            // calculate the new tick marks
            if (isTickLabelsVisible()) {
                final List<T> newTickValues = calculateTickValues(height,range);
                for (T value: newTickValues) {
                    maxLabelWidth = Math.max(maxLabelWidth, measureTickMarkSize(value, range).getWidth());
                }
            }
            // calculate tick mark length
            final double tickMarkLength = isTickMarkVisible() ? (getTickLength() > 0) ? getTickLength() : 0 : 0;
            // calculate label height
            final double labelHeight =
                    axisLabel.getText() == null || axisLabel.getText().length() == 0 ?
                    0 : axisLabel.prefHeight(-1);
            return maxLabelWidth + getTickLabelGap() + tickMarkLength + labelHeight;
        } else  { // HORIZONTAL
            // TODO for now we have no hard and fast answer here, I guess it should work
            // TODO out the minimum size needed to display min, max and zero tick mark labels.
            return 100;
        }
    }

    
Called during layout if the tickmarks have been updated, allowing subclasses to do anything they need to
in reaction.
/**
     * Called during layout if the tickmarks have been updated, allowing subclasses to do anything they need to
     * in reaction.
     */
    protected void tickMarksUpdated(){}

    
Invoked during the layout pass to layout this axis and all its content.
/**
     * Invoked during the layout pass to layout this axis and all its content.
     */
    @Override protected void layoutChildren() {
        final boolean isFirstPass = oldLength == 0;
        // auto range if it is not valid
        final Side side = getEffectiveSide();
        final double length = side.isVertical() ? getHeight() : getWidth();
        boolean rangeInvalid = !isRangeValid();
        boolean lengthDiffers = oldLength != length;
        if (lengthDiffers || rangeInvalid) {
            // get range
            Object range;
            if(isAutoRanging()) {
                // auto range
                range = autoRange(length);
                // set current range to new range
                setRange(range, getAnimated() && !isFirstPass && NodeHelper.isTreeShowing(this) && rangeInvalid);
            } else {
                range = getRange();
            }
            // calculate new tick marks
            List<T> newTickValues = calculateTickValues(length, range);

            // remove everything
            Iterator<TickMark<T>> tickMarkIterator = tickMarks.iterator();
            while (tickMarkIterator.hasNext()) {
                TickMark<T> tick = tickMarkIterator.next();
                final TickMark<T> tm = tick;
                if (shouldAnimate()) {
                    FadeTransition ft = new FadeTransition(Duration.millis(250),tick.textNode);
                    ft.setToValue(0);
                    ft.setOnFinished(actionEvent -> {
                        getChildren().remove(tm.textNode);
                    });
                    ft.play();
                } else {
                    getChildren().remove(tm.textNode);
                }
                // we have to remove the tick mark immediately so we don't draw tick line for it or grid lines and fills
                tickMarkIterator.remove();
            }

            // add new tick marks for new values
            for(T newValue: newTickValues) {
                final TickMark<T> tick = new TickMark<T>();
                tick.setValue(newValue);
                tick.textNode.setText(getTickMarkLabel(newValue));
                tick.textNode.setFont(getTickLabelFont());
                tick.textNode.setFill(getTickLabelFill());
                tick.setTextVisible(isTickLabelsVisible());
                if (shouldAnimate()) tick.textNode.setOpacity(0);
                getChildren().add(tick.textNode);
                tickMarks.add(tick);
                if (shouldAnimate()) {
                    FadeTransition ft = new FadeTransition(Duration.millis(750),tick.textNode);
                    ft.setFromValue(0);
                    ft.setToValue(1);
                    ft.play();
                }
            }

            // call tick marks updated to inform subclasses that we have updated tick marks
            tickMarksUpdated();
            // mark all done
            oldLength = length;
            rangeValid = true;
        }

        if (lengthDiffers || rangeInvalid || measureInvalid || tickLabelsVisibleInvalid) {
            measureInvalid = false;
            tickLabelsVisibleInvalid = false;
            // RT-12272 : tick labels overlapping
            // first check if all visible labels fit, if not, retain every nth label
            labelsToSkip.clear();
            int numLabelsToSkip = 0;
            double totalLabelsSize = 0;
            double maxLabelSize = 0;
            for (TickMark<T> m : tickMarks) {
                m.setPosition(getDisplayPosition(m.getValue()));
                if (m.isTextVisible()) {
                    double tickSize = measureTickMarkSize(m.getValue(), side);
                    totalLabelsSize += tickSize;
                    maxLabelSize = Math.round(Math.max(maxLabelSize, tickSize));
                }
            }
            if (maxLabelSize > 0 && length < totalLabelsSize) {
                numLabelsToSkip = ((int)(tickMarks.size() * maxLabelSize / length)) + 1;
            }

            if (numLabelsToSkip > 0) {
                int tickIndex = 0;
                for (TickMark<T> m : tickMarks) {
                    if (m.isTextVisible()) {
                        m.setTextVisible((tickIndex++ % numLabelsToSkip) == 0);
                    }
                }
            }

            // now check if labels for bounds overlap nearby labels, this can happen due to JDK-8097501
            // use tickLabelGap to prevent sticking
            if (tickMarks.size() > 2) {
                TickMark<T> m1 = tickMarks.get(0);
                TickMark<T> m2 = tickMarks.get(1);
                if (isTickLabelsOverlap(side, m1, m2, getTickLabelGap())) {
                    m2.setTextVisible(false);
                }
                m1 = tickMarks.get(tickMarks.size()-2);
                m2 = tickMarks.get(tickMarks.size()-1);
                if (isTickLabelsOverlap(side, m1, m2, getTickLabelGap())) {
                    m1.setTextVisible(false);
                }
            }
            updateTickMarks(side, length);
        }
    }

    private void updateTickMarks(Side side, double length) {
        // clear tick mark path elements as we will recreate
        tickMarkPath.getElements().clear();
        // do layout of axis label, tick mark lines and text
        final double width = getWidth();
        final double height = getHeight();
        final double tickMarkLength = (isTickMarkVisible() && getTickLength() > 0) ? getTickLength() : 0;
        final double effectiveLabelRotation = getEffectiveTickLabelRotation();
        if (Side.LEFT.equals(side)) {
            // offset path to make strokes snap to pixel
            tickMarkPath.setLayoutX(-0.5);
            tickMarkPath.setLayoutY(0.5);
            if (getLabel() != null) {
                axisLabel.getTransforms().setAll(new Translate(0, height), new Rotate(-90, 0, 0));
                axisLabel.setLayoutX(0);
                axisLabel.setLayoutY(0);
                //noinspection SuspiciousNameCombination
                axisLabel.resize(height, Math.ceil(axisLabel.prefHeight(width)));
            }
            for (TickMark<T> tick : tickMarks) {
                positionTextNode(tick.textNode, width - getTickLabelGap() - tickMarkLength,
                        tick.getPosition(), effectiveLabelRotation, side);
                updateTickMark(tick, length,
                        width - tickMarkLength, tick.getPosition(),
                        width, tick.getPosition());
            }
        } else if (Side.RIGHT.equals(side)) {
            // offset path to make strokes snap to pixel
            tickMarkPath.setLayoutX(0.5);
            tickMarkPath.setLayoutY(0.5);
            if (getLabel() != null) {
                final double axisLabelWidth = Math.ceil(axisLabel.prefHeight(width));
                axisLabel.getTransforms().setAll(new Translate(0, height), new Rotate(-90, 0, 0));
                axisLabel.setLayoutX(width-axisLabelWidth);
                axisLabel.setLayoutY(0);
                //noinspection SuspiciousNameCombination
                axisLabel.resize(height, axisLabelWidth);
            }
            for (TickMark<T> tick : tickMarks) {
                positionTextNode(tick.textNode, getTickLabelGap() + tickMarkLength,
                        tick.getPosition(), effectiveLabelRotation, side);
                updateTickMark(tick, length,
                        0, tick.getPosition(),
                        tickMarkLength, tick.getPosition());
            }
        } else if (Side.TOP.equals(side)) {
            // offset path to make strokes snap to pixel
            tickMarkPath.setLayoutX(0.5);
            tickMarkPath.setLayoutY(-0.5);
            if (getLabel() != null) {
                axisLabel.getTransforms().clear();
                axisLabel.setLayoutX(0);
                axisLabel.setLayoutY(0);
                axisLabel.resize(width, Math.ceil(axisLabel.prefHeight(width)));
            }
            for (TickMark<T> tick : tickMarks) {
                positionTextNode(tick.textNode, tick.getPosition(), height - tickMarkLength - getTickLabelGap(),
                        effectiveLabelRotation, side);
                updateTickMark(tick, length,
                        tick.getPosition(), height,
                        tick.getPosition(), height - tickMarkLength);
            }
        } else {
            // BOTTOM
            // offset path to make strokes snap to pixel
            tickMarkPath.setLayoutX(0.5);
            tickMarkPath.setLayoutY(0.5);
            if (getLabel() != null) {
                axisLabel.getTransforms().clear();
                final double labelHeight = Math.ceil(axisLabel.prefHeight(width));
                axisLabel.setLayoutX(0);
                axisLabel.setLayoutY(height - labelHeight);
                axisLabel.resize(width, labelHeight);
            }
            for (TickMark<T> tick : tickMarks) {
                positionTextNode(tick.textNode, tick.getPosition(), tickMarkLength + getTickLabelGap(),
                        effectiveLabelRotation, side);
                updateTickMark(tick, length,
                        tick.getPosition(), 0,
                        tick.getPosition(), tickMarkLength);
            }
        }
    }

    
Checks if two consecutive tick mark labels overlaps.
Params:
side – side of the Axis
m1 – first tick mark
m2 – second tick mark
gap – minimum space between labels
Returns:
true if labels overlap/**
     * Checks if two consecutive tick mark labels overlaps.
     * @param side side of the Axis
     * @param m1 first tick mark
     * @param m2 second tick mark
     * @param gap minimum space between labels
     * @return true if labels overlap
     */
    private boolean isTickLabelsOverlap(Side side, TickMark<T> m1, TickMark<T> m2, double gap) {
        if (!m1.isTextVisible() || !m2.isTextVisible()) return false;
        double m1Size = measureTickMarkSize(m1.getValue(), side);
        double m2Size = measureTickMarkSize(m2.getValue(), side);
        double m1Start = m1.getPosition() - m1Size / 2;
        double m1End = m1.getPosition() + m1Size / 2;
        double m2Start = m2.getPosition() - m2Size / 2;
        double m2End = m2.getPosition() + m2Size / 2;
        return side.isVertical() ? (m1Start - m2End) <= gap : (m2Start - m1End) <= gap;
    }

    
Positions a text node to one side of the given point, it X height is vertically centered on point if LEFT or
RIGHT and its centered horizontally if TOP ot BOTTOM.
Params:
node – The text node to position
posX – The x position, to place text next to
posY – The y position, to place text next to
angle – The text rotation
side – The side to place text next to position x,y at/**
     * Positions a text node to one side of the given point, it X height is vertically centered on point if LEFT or
     * RIGHT and its centered horizontally if TOP ot BOTTOM.
     *
     * @param node The text node to position
     * @param posX The x position, to place text next to
     * @param posY The y position, to place text next to
     * @param angle The text rotation
     * @param side The side to place text next to position x,y at
     */
    private void positionTextNode(Text node, double posX, double posY, double angle, Side side) {
        node.setLayoutX(0);
        node.setLayoutY(0);
        node.setRotate(angle);
        final Bounds bounds = node.getBoundsInParent();
        if (Side.LEFT.equals(side)) {
            node.setLayoutX(posX-bounds.getWidth()-bounds.getMinX());
            node.setLayoutY(posY - (bounds.getHeight() / 2d) - bounds.getMinY());
        } else if (Side.RIGHT.equals(side)) {
            node.setLayoutX(posX-bounds.getMinX());
            node.setLayoutY(posY-(bounds.getHeight()/2d)-bounds.getMinY());
        } else if (Side.TOP.equals(side)) {
            node.setLayoutX(posX-(bounds.getWidth()/2d)-bounds.getMinX());
            node.setLayoutY(posY-bounds.getHeight()-bounds.getMinY());
        } else {
            node.setLayoutX(posX-(bounds.getWidth()/2d)-bounds.getMinX());
            node.setLayoutY(posY-bounds.getMinY());
        }
    }

    
Updates visibility of the text node and adds the tick mark to the path
/**
     * Updates visibility of the text node and adds the tick mark to the path
     */
    private void updateTickMark(TickMark<T> tick, double length,
            double startX, double startY, double endX, double endY)
    {
        // check if position is inside bounds
        if (tick.getPosition() >= 0 && tick.getPosition() <= Math.ceil(length)) {
            tick.textNode.setVisible(tick.isTextVisible());
            // add tick mark line
            tickMarkPath.getElements().addAll(
                    new MoveTo(startX, startY),
                    new LineTo(endX, endY)
            );
        } else {
            tick.textNode.setVisible(false);
        }
    }
    
Get the string label name for a tick mark with the given value
Params:
value – The value to format into a tick label string
Returns:
A formatted string for the given value/**
     * Get the string label name for a tick mark with the given value
     *
     * @param value The value to format into a tick label string
     * @return A formatted string for the given value
     */
    protected abstract String getTickMarkLabel(T value);

    
Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
Params:
labelText –     tick mark label text
rotation –  The text rotation
Returns:
size of tick mark label for given value/**
     * Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
     *
     *
     * @param labelText     tick mark label text
     * @param rotation  The text rotation
     * @return size of tick mark label for given value
     */
    protected final Dimension2D measureTickMarkLabelSize(String labelText, double rotation) {
        measure.setRotate(rotation);
        measure.setText(labelText);
        Bounds bounds = measure.getBoundsInParent();
        return new Dimension2D(bounds.getWidth(), bounds.getHeight());
    }

    
Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
Params:
value –     tick mark value
rotation –  The text rotation
Returns:
size of tick mark label for given value/**
     * Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
     *
     * @param value     tick mark value
     * @param rotation  The text rotation
     * @return size of tick mark label for given value
     */
    protected final Dimension2D measureTickMarkSize(T value, double rotation) {
        return measureTickMarkLabelSize(getTickMarkLabel(value), rotation);
    }

    
Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
Params:
value – tick mark value
range – range to use during calculations
Returns:
size of tick mark label for given value/**
     * Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
     *
     * @param value tick mark value
     * @param range range to use during calculations
     * @return size of tick mark label for given value
     */
    protected Dimension2D measureTickMarkSize(T value, Object range) {
        return measureTickMarkSize(value, getEffectiveTickLabelRotation());
    }

    
Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
Params:
value – tick mark value
side – side of this Axis
See Also:
measureTickMarkSize(Object, Object)
Returns:
size of tick mark label for given value/**
     * Measure the size of the label for given tick mark value. This uses the font that is set for the tick marks
     *
     * @param value tick mark value
     * @param side side of this Axis
     * @return size of tick mark label for given value
     * @see #measureTickMarkSize(Object, Object)
     */
    private double measureTickMarkSize(T value, Side side) {
        Dimension2D size = measureTickMarkSize(value, getEffectiveTickLabelRotation());
        return side.isVertical() ? size.getHeight() : size.getWidth();
    }

    final double getEffectiveTickLabelRotation() {
        return !isAutoRanging() || Double.isNaN(effectiveTickLabelRotation) ? getTickLabelRotation() : effectiveTickLabelRotation;
    }

    
Params:
rotation – NaN for using the tickLabelRotationProperty()/**
     *
     * @param rotation NaN for using the tickLabelRotationProperty()
     */
    final void setEffectiveTickLabelRotation(double rotation) {
        effectiveTickLabelRotation = rotation;
    }

    // -------------- TICKMARK INNER CLASS -----------------------------------------------------------------------------

    
TickMark represents the label text, its associated properties for each tick
along the Axis.
Since:
JavaFX 2.0/**
     * TickMark represents the label text, its associated properties for each tick
     * along the Axis.
     * @since JavaFX 2.0
     */
    public static final class TickMark<T> {
        
The display text for tick mark
/**
         * The display text for tick mark
         */
        private StringProperty label = new StringPropertyBase() {
            @Override protected void invalidated() {
                textNode.setText(getValue());
            }

            @Override
            public Object getBean() {
                return TickMark.this;
            }

            @Override
            public String getName() {
                return "label";
            }
        };
        public final String getLabel() { return label.get(); }
        public final void setLabel(String value) { label.set(value); }
        public final StringExpression labelProperty() { return label; }

        
The value for this tick mark in data units
/**
         * The value for this tick mark in data units
         */
        private ObjectProperty<T> value = new SimpleObjectProperty<T>(this, "value");
        public final T getValue() { return value.get(); }
        public final void setValue(T v) { value.set(v); }
        public final ObjectExpression<T> valueProperty() { return value; }

        
The display position along the axis from axis origin in display units
/**
         * The display position along the axis from axis origin in display units
         */
        private DoubleProperty position = new SimpleDoubleProperty(this, "position");
        public final double getPosition() { return position.get(); }
        public final void setPosition(double value) { position.set(value); }
        public final DoubleExpression positionProperty() { return position; }

        Text textNode = new Text();

        
true if tick mark labels should be displayed /** true if tick mark labels should be displayed */
        private BooleanProperty textVisible = new BooleanPropertyBase(true) {
            @Override protected void invalidated() {
                if(!get()) {
                    textNode.setVisible(false);
                }
            }

            @Override
            public Object getBean() {
                return TickMark.this;
            }

            @Override
            public String getName() {
                return "textVisible";
            }
        };

        
Indicates whether this tick mark label text is displayed or not.
Returns:
true if tick mark label text is visible and false otherwise/**
         * Indicates whether this tick mark label text is displayed or not.
         * @return true if tick mark label text is visible and false otherwise
         */
        public final boolean isTextVisible() { return textVisible.get(); }

        
Specifies whether this tick mark label text is displayed or not.
Params:
value – true if tick mark label text is visible and false otherwise/**
         * Specifies whether this tick mark label text is displayed or not.
         * @param value true if tick mark label text is visible and false otherwise
         */
        public final void setTextVisible(boolean value) { textVisible.set(value); }

        
Creates and initializes an instance of TickMark.
/**
         * Creates and initializes an instance of TickMark.
         */
        public TickMark() {
        }

        
Returns a string representation of this TickMark object. 
Returns:
a string representation of this TickMark object./**
         * Returns a string representation of this {@code TickMark} object.
         * @return a string representation of this {@code TickMark} object.
         */
        @Override public String toString() {
            return value.get().toString();
        }
    }

    // -------------- STYLESHEET HANDLING ------------------------------------------------------------------------------

    private static class StyleableProperties {
        private static final CssMetaData<Axis<?>,Side> SIDE =
            new CssMetaData<Axis<?>,Side>("-fx-side",
                new EnumConverter<Side>(Side.class)) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.side == null || !n.side.isBound();
            }

            @SuppressWarnings("unchecked") // sideProperty() is StyleableProperty<Side>
            @Override
            public StyleableProperty<Side> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Side>)n.sideProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Number> TICK_LENGTH =
            new CssMetaData<Axis<?>,Number>("-fx-tick-length",
                SizeConverter.getInstance(), 8.0) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickLength == null || !n.tickLength.isBound();
            }

            @Override
            public StyleableProperty<Number> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Number>)(WritableValue<Number>)n.tickLengthProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Font> TICK_LABEL_FONT =
            new FontCssMetaData<Axis<?>>("-fx-tick-label-font",
                Font.font("system", 8.0)) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickLabelFont == null || !n.tickLabelFont.isBound();
            }

            @SuppressWarnings("unchecked") // tickLabelFontProperty() is StyleableProperty<Font>
            @Override
            public StyleableProperty<Font> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Font>)n.tickLabelFontProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Paint> TICK_LABEL_FILL =
            new CssMetaData<Axis<?>,Paint>("-fx-tick-label-fill",
                PaintConverter.getInstance(), Color.BLACK) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickLabelFill == null | !n.tickLabelFill.isBound();
            }

            @SuppressWarnings("unchecked") // tickLabelFillProperty() is StyleableProperty<Paint>
            @Override
            public StyleableProperty<Paint> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Paint>)n.tickLabelFillProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Number> TICK_LABEL_TICK_GAP =
            new CssMetaData<Axis<?>,Number>("-fx-tick-label-gap",
                SizeConverter.getInstance(), 3.0) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickLabelGap == null || !n.tickLabelGap.isBound();
            }

            @Override
            public StyleableProperty<Number> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Number>)(WritableValue<Number>)n.tickLabelGapProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Boolean> TICK_MARK_VISIBLE =
            new CssMetaData<Axis<?>,Boolean>("-fx-tick-mark-visible",
                BooleanConverter.getInstance(), Boolean.TRUE) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickMarkVisible == null || !n.tickMarkVisible.isBound();
            }

            @Override
            public StyleableProperty<Boolean> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Boolean>)(WritableValue<Boolean>)n.tickMarkVisibleProperty();
            }
        };

        private static final CssMetaData<Axis<?>,Boolean> TICK_LABELS_VISIBLE =
            new CssMetaData<Axis<?>,Boolean>("-fx-tick-labels-visible",
                BooleanConverter.getInstance(), Boolean.TRUE) {

            @Override
            public boolean isSettable(Axis<?> n) {
                return n.tickLabelsVisible == null || !n.tickLabelsVisible.isBound();
            }

            @Override
            public StyleableProperty<Boolean> getStyleableProperty(Axis<?> n) {
                return (StyleableProperty<Boolean>)(WritableValue<Boolean>)n.tickLabelsVisibleProperty();
            }
        };

        private static final List<CssMetaData<? extends Styleable, ?>> STYLEABLES;
        static {
        final List<CssMetaData<? extends Styleable, ?>> styleables =
            new ArrayList<CssMetaData<? extends Styleable, ?>>(Region.getClassCssMetaData());
            styleables.add(SIDE);
            styleables.add(TICK_LENGTH);
            styleables.add(TICK_LABEL_FONT);
            styleables.add(TICK_LABEL_FILL);
            styleables.add(TICK_LABEL_TICK_GAP);
            styleables.add(TICK_MARK_VISIBLE);
            styleables.add(TICK_LABELS_VISIBLE);
            STYLEABLES = Collections.unmodifiableList(styleables);
        }
    }

    
Returns:
The CssMetaData associated with this class, which may include the
CssMetaData of its superclasses.
Since:
JavaFX 8.0/**
     * @return The CssMetaData associated with this class, which may include the
     * CssMetaData of its superclasses.
     * @since JavaFX 8.0
     */
    public static List<CssMetaData<? extends Styleable, ?>> getClassCssMetaData() {
        return StyleableProperties.STYLEABLES;
    }

    
{@inheritDoc}
Since:
JavaFX 8.0/**
     * {@inheritDoc}
     * @since JavaFX 8.0
     */
    @Override
    public List<CssMetaData<? extends Styleable, ?>> getCssMetaData() {
        return getClassCssMetaData();
    }

    
pseudo-class indicating this is a vertical Top side Axis. /** pseudo-class indicating this is a vertical Top side Axis. */
    private static final PseudoClass TOP_PSEUDOCLASS_STATE =
            PseudoClass.getPseudoClass("top");
    
pseudo-class indicating this is a vertical Bottom side Axis. /** pseudo-class indicating this is a vertical Bottom side Axis. */
    private static final PseudoClass BOTTOM_PSEUDOCLASS_STATE =
            PseudoClass.getPseudoClass("bottom");
    
pseudo-class indicating this is a vertical Left side Axis. /** pseudo-class indicating this is a vertical Left side Axis. */
    private static final PseudoClass LEFT_PSEUDOCLASS_STATE =
            PseudoClass.getPseudoClass("left");
    
pseudo-class indicating this is a vertical Right side Axis. /** pseudo-class indicating this is a vertical Right side Axis. */
    private static final PseudoClass RIGHT_PSEUDOCLASS_STATE =
            PseudoClass.getPseudoClass("right");

}