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authorSven Gothel <[email protected]>2011-06-26 07:49:23 +0200
committerSven Gothel <[email protected]>2011-06-26 07:49:23 +0200
commitf3c91d904a22fe29f3b122085722a8b05bbae63a (patch)
tree5f9fa6e2b2fcb5001b521644d84f63af693d6dc3 /src
parentf73138e52eb9829b6315f552a9a159acfed040c8 (diff)
parentb71946ce8b1b7ce9ca3d26c554d4a9862aabd577 (diff)
Merge remote-tracking branch 'rsantina/master'
Diffstat (limited to 'src')
-rwxr-xr-xsrc/jogl/classes/com/jogamp/graph/curve/OutlineShape.java1160
-rw-r--r--src/jogl/classes/com/jogamp/graph/geom/Outline.java36
-rwxr-xr-xsrc/jogl/classes/com/jogamp/graph/math/VectorUtil.java124
-rw-r--r--src/jogl/classes/jogamp/graph/font/typecast/TypecastRenderer.java441
4 files changed, 983 insertions, 778 deletions
diff --git a/src/jogl/classes/com/jogamp/graph/curve/OutlineShape.java b/src/jogl/classes/com/jogamp/graph/curve/OutlineShape.java
index e4f80ab76..025a998d8 100755
--- a/src/jogl/classes/com/jogamp/graph/curve/OutlineShape.java
+++ b/src/jogl/classes/com/jogamp/graph/curve/OutlineShape.java
@@ -1,531 +1,629 @@
-/**
- * Copyright 2010 JogAmp Community. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without modification, are
- * permitted provided that the following conditions are met:
- *
- * 1. Redistributions of source code must retain the above copyright notice, this list of
- * conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright notice, this list
- * of conditions and the following disclaimer in the documentation and/or other materials
- * provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
- * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
- * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
- * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
- * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
- * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- *
- * The views and conclusions contained in the software and documentation are those of the
- * authors and should not be interpreted as representing official policies, either expressed
- * or implied, of JogAmp Community.
- */
-package com.jogamp.graph.curve;
-
-import java.util.ArrayList;
-import java.util.Collections;
-
-import com.jogamp.graph.curve.tess.Triangulation;
-import com.jogamp.graph.curve.tess.Triangulator;
-import com.jogamp.graph.geom.AABBox;
-import com.jogamp.graph.geom.Outline;
-import com.jogamp.graph.geom.Triangle;
-import com.jogamp.graph.geom.Vertex;
-import com.jogamp.graph.math.VectorUtil;
-
-
-/** A Generic shape objects which is defined by a list of Outlines.
- * This Shape can be transformed to Triangulations.
- * The list of triangles generated are render-able by a Region object.
- * The triangulation produced by this Shape will define the
- * closed region defined by the outlines.
- *
- * One or more OutlineShape Object can be associated to a region
- * this is left as a high-level representation of the Objects. For
- * optimizations, flexibility requirements for future features.
- *
- * <br><br>
- * Example to creating an Outline Shape:
- * <pre>
- addVertex(...)
- addVertex(...)
- addVertex(...)
- addEmptyOutline()
- addVertex(...)
- addVertex(...)
- addVertex(...)
- * </pre>
- *
- * The above will create two outlines each with three vertices. By adding these two outlines to
- * the OutlineShape, we are stating that the combination of the two outlines represent the shape.
- * <br>
- *
- * To specify that the shape is curved at a region, the on-curve flag should be set to false
- * for the vertex that is in the middle of the curved region (if the curved region is defined by 3
- * vertices (quadratic curve).
- * <br>
- * In case the curved region is defined by 4 or more vertices the middle vertices should both have
- * the on-curve flag set to false.
- *
- * <br>Example: <br>
- * <pre>
- addVertex(0,0, true);
- addVertex(0,1, false);
- addVertex(1,1, false);
- addVertex(1,0, true);
- * </pre>
- *
- * The above snippet defines a cubic nurbs curve where (0,1 and 1,1)
- * do not belong to the final rendered shape.
- *
- * <i>Implementation Notes:</i><br>
- * <ul>
- * <li> The first vertex of any outline belonging to the shape should be on-curve</li>
- * <li> Intersections between off-curved parts of the outline is not handled</li>
- * </ul>
- *
- * @see Outline
- * @see Region
- */
-public class OutlineShape implements Comparable<OutlineShape> {
- /**
- * Outline's vertices have undefined state until transformed.
- */
- public enum VerticesState {
- UNDEFINED(0), QUADRATIC_NURBS(1);
-
- public final int state;
-
- VerticesState(int state){
- this.state = state;
- }
- }
-
- public static final int DIRTY_BOUNDS = 1 << 0;
-
- private final Vertex.Factory<? extends Vertex> vertexFactory;
- private VerticesState outlineState;
-
- /** The list of {@link Outline}s that are part of this
- * outline shape.
- */
- private ArrayList<Outline> outlines;
- private AABBox bbox;
-
- /** dirty bits DIRTY_BOUNDS */
- private int dirtyBits;
-
- /** Create a new Outline based Shape
- */
- public OutlineShape(Vertex.Factory<? extends Vertex> factory) {
- this.vertexFactory = factory;
- this.outlines = new ArrayList<Outline>(3);
- this.outlines.add(new Outline());
- this.outlineState = VerticesState.UNDEFINED;
- this.bbox = new AABBox();
- this.dirtyBits = 0;
- }
-
- /** Clears all data and reset all states as if this instance was newly created */
- public void clear() {
- outlines.clear();
- outlines.add(new Outline());
- outlineState = VerticesState.UNDEFINED;
- bbox.reset();
- dirtyBits = 0;
- }
-
- /** Returns the associated vertex factory of this outline shape
- * @return Vertex.Factory object
- */
- public final Vertex.Factory<? extends Vertex> vertexFactory() { return vertexFactory; }
-
- public int getOutlineNumber() {
- return outlines.size();
- }
-
- /** Add a new empty {@link Outline}
- * to the end of this shape's outline list.
- * <p>If the {@link #getLastOutline()} is empty already, no new one will be added.</p>
- *
- * After a call to this function all new vertices added
- * will belong to the new outline
- */
- public void addEmptyOutline() {
- if( !getLastOutline().isEmpty() ) {
- outlines.add(new Outline());
- }
- }
-
- /** Appends the {@link Outline} element to the end,
- * ensuring a clean tail.
- *
- * <p>A clean tail is ensured, no double empty Outlines are produced
- * and a pre-existing empty outline will be replaced with the given one. </p>
- *
- * @param outline Outline object to be added
- * @throws NullPointerException if the {@link Outline} element is null
- */
- public void addOutline(Outline outline) throws NullPointerException {
- addOutline(outlines.size(), outline);
- }
-
- /** Insert the {@link Outline} element at the given {@code position}.
- *
- * <p>If the {@code position} indicates the end of this list,
- * a clean tail is ensured, no double empty Outlines are produced
- * and a pre-existing empty outline will be replaced with the given one. </p>
- *
- * @param position of the added Outline
- * @param outline Outline object to be added
- * @throws NullPointerException if the {@link Outline} element is null
- * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position > getOutlineNumber())
- */
- public void addOutline(int position, Outline outline) throws NullPointerException, IndexOutOfBoundsException {
- if (null == outline) {
- throw new NullPointerException("outline is null");
- }
- if( outlines.size() == position ) {
- final Outline lastOutline = getLastOutline();
- if( outline.isEmpty() && lastOutline.isEmpty() ) {
- return;
- }
- if( lastOutline.isEmpty() ) {
- outlines.set(position-1, outline);
- if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
- bbox.resize(outline.getBounds());
- }
- return;
- }
- }
- outlines.add(position, outline);
- if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
- bbox.resize(outline.getBounds());
- }
- }
-
- /** Insert the {@link OutlineShape} elements of type {@link Outline}, .. at the end of this shape,
- * using {@link #addOutline(Outline)} for each element.
- * <p>Closes the current last outline via {@link #closeLastOutline()} before adding the new ones.</p>
- * @param outlineShape OutlineShape elements to be added.
- * @throws NullPointerException if the {@link OutlineShape} is null
- * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position > getOutlineNumber())
- */
- public void addOutlineShape(OutlineShape outlineShape) throws NullPointerException {
- if (null == outlineShape) {
- throw new NullPointerException("OutlineShape is null");
- }
- closeLastOutline();
- for(int i=0; i<outlineShape.getOutlineNumber(); i++) {
- addOutline(outlineShape.getOutline(i));
- }
- }
-
- /** Replaces the {@link Outline} element at the given {@code position}.
- * <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
- *
- * @param position of the replaced Outline
- * @param outline replacement Outline object
- * @throws NullPointerException if the {@link Outline} element is null
- * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
- */
- public void setOutline(int position, Outline outline) throws NullPointerException, IndexOutOfBoundsException {
- if (null == outline) {
- throw new NullPointerException("outline is null");
- }
- outlines.set(position, outline);
- dirtyBits |= DIRTY_BOUNDS;
- }
-
- /** Removes the {@link Outline} element at the given {@code position}.
- * <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
- *
- * @param position of the to be removed Outline
- * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
- */
- public final Outline removeOutline(int position) throws IndexOutOfBoundsException {
- dirtyBits |= DIRTY_BOUNDS;
- return outlines.remove(position);
- }
-
- /** Get the last added outline to the list
- * of outlines that define the shape
- * @return the last outline
- */
- public final Outline getLastOutline() {
- return outlines.get(outlines.size()-1);
- }
-
- /** @return the {@code Outline} at {@code position}
- * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
- */
- public Outline getOutline(int position) throws IndexOutOfBoundsException {
- return outlines.get(position);
- }
-
- /** Adds a vertex to the last open outline in the
- * shape.
- * @param v the vertex to be added to the OutlineShape
- */
- public final void addVertex(Vertex v) {
- final Outline lo = getLastOutline();
- lo.addVertex(v);
- if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
- bbox.resize(lo.getBounds());
- }
- }
-
- /** Adds a vertex to the last open outline in the shape.
- * at {@code position}
- * @param position indx at which the vertex will be added
- * @param v the vertex to be added to the OutlineShape
- */
- public final void addVertex(int position, Vertex v) {
- final Outline lo = getLastOutline();
- lo.addVertex(position, v);
- if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
- bbox.resize(lo.getBounds());
- }
- }
-
- /** Add a 2D {@link Vertex} to the last outline by defining the coordniate attribute
- * of the vertex. The 2D vertex will be represented as Z=0.
- *
- * @param x the x coordinate
- * @param y the y coordniate
- * @param onCurve flag if this vertex is on the final curve or defines a curved region
- * of the shape around this vertex.
- */
- public final void addVertex(float x, float y, boolean onCurve) {
- addVertex(vertexFactory.create(x, y, 0f, onCurve));
- }
-
- /** Add a 3D {@link Vertex} to the last outline by defining the coordniate attribute
- * of the vertex.
- * @param x the x coordinate
- * @param y the y coordinate
- * @param z the z coordinate
- * @param onCurve flag if this vertex is on the final curve or defines a curved region
- * of the shape around this vertex.
- */
- public final void addVertex(float x, float y, float z, boolean onCurve) {
- addVertex(vertexFactory.create(x, y, z, onCurve));
- }
-
- /** Add a vertex to the last outline by passing a float array and specifying the
- * offset and length in which. The attributes of the vertex are located.
- * The attributes should be continuous (stride = 0).
- * Attributes which value are not set (when length less than 3)
- * are set implicitly to zero.
- * @param coordsBuffer the coordinate array where the vertex attributes are to be picked from
- * @param offset the offset in the buffer to the x coordinate
- * @param length the number of attributes to pick from the buffer (maximum 3)
- * @param onCurve flag if this vertex is on the final curve or defines a curved region
- * of the shape around this vertex.
- */
- public final void addVertex(float[] coordsBuffer, int offset, int length, boolean onCurve) {
- addVertex(vertexFactory.create(coordsBuffer, offset, length, onCurve));
- }
-
- /** Closes the last outline in the shape.
- * <p>If last vertex is not equal to first vertex.
- * A new temp vertex is added at the end which
- * is equal to the first.</p>
- */
- public void closeLastOutline() {
- getLastOutline().setClosed(true);
- }
-
- /**
- * @return the outline's vertices state, {@link OutlineShape.VerticesState}
- */
- public final VerticesState getOutlineState() {
- return outlineState;
- }
-
- /** Ensure the outlines represent
- * the specified destinationType.
- *
- * @param destinationType the target outline's vertices state. Currently only {@link OutlineShape.VerticesState#QUADRATIC_NURBS} are supported.
- */
- public void transformOutlines(VerticesState destinationType) {
- if(outlineState != destinationType){
- if(destinationType == VerticesState.QUADRATIC_NURBS){
- transformOutlines2Quadratic();
- } else {
- throw new IllegalStateException("destinationType "+destinationType.name()+" not supported (currently "+outlineState.name()+")");
- }
- }
- }
-
- private void transformOutlines2Quadratic() {
- int count = getOutlineNumber();
- for (int cc = 0; cc < count; cc++) {
- final Outline outline = getOutline(cc);
- int vertexCount = outline.getVertexCount();
-
- for(int i=0; i < vertexCount; i++) {
- final Vertex currentVertex = outline.getVertex(i);
- final Vertex nextVertex = outline.getVertex((i+1)%vertexCount);
- if ( !currentVertex.isOnCurve() && !nextVertex.isOnCurve() ) {
- final float[] newCoords = VectorUtil.mid(currentVertex.getCoord(),
- nextVertex.getCoord());
- final Vertex v = vertexFactory.create(newCoords, 0, 3, true);
- i++;
- vertexCount++;
- outline.addVertex(i, v);
- }
- }
- if(vertexCount <= 0) {
- outlines.remove(outline);
- cc--;
- count--;
- continue;
- }
-
- if( vertexCount > 0 ) {
- if(VectorUtil.checkEquality(outline.getVertex(0).getCoord(),
- outline.getLastVertex().getCoord())) {
- outline.removeVertex(vertexCount-1);
- }
- }
- }
- outlineState = VerticesState.QUADRATIC_NURBS;
- }
-
- private void generateVertexIds() {
- int maxVertexId = 0;
- for(int i=0; i<outlines.size(); i++) {
- final ArrayList<Vertex> vertices = outlines.get(i).getVertices();
- for(int pos=0; pos<vertices.size(); pos++) {
- Vertex vert = vertices.get(pos);
- vert.setId(maxVertexId);
- maxVertexId++;
- }
- }
- }
-
- /** @return the list of concatenated vertices associated with all
- * {@code Outline}s of this object
- */
- public ArrayList<Vertex> getVertices() {
- ArrayList<Vertex> vertices = new ArrayList<Vertex>();
- for(int i=0; i<outlines.size(); i++) {
- vertices.addAll(outlines.get(i).getVertices());
- }
- return vertices;
- }
-
- /**
- * Triangulate the {@link OutlineShape} generating a list of triangles
- * @return an arraylist of triangles representing the filled region
- * which is produced by the combination of the outlines
- */
- public ArrayList<Triangle> triangulate() {
- if(outlines.size() == 0){
- return null;
- }
- sortOutlines();
- generateVertexIds();
-
- Triangulator triangulator2d = Triangulation.create();
- for(int index = 0; index<outlines.size(); index++) {
- triangulator2d.addCurve(outlines.get(index));
- }
-
- ArrayList<Triangle> triangles = triangulator2d.generate();
- triangulator2d.reset();
-
- return triangles;
- }
-
- /** Sort the outlines from large
- * to small depending on the AABox
- */
- private void sortOutlines() {
- Collections.sort(outlines);
- Collections.reverse(outlines);
- }
-
- /** Compare two outline shapes with Bounding Box area
- * as criteria.
- * @see java.lang.Comparable#compareTo(java.lang.Object)
- */
- public final int compareTo(OutlineShape outline) {
- float size = getBounds().getSize();
- float newSize = outline.getBounds().getSize();
- if(size < newSize){
- return -1;
- }
- else if(size > newSize){
- return 1;
- }
- return 0;
- }
-
- private final void validateBoundingBox() {
- dirtyBits &= ~DIRTY_BOUNDS;
- bbox.reset();
- for (int i=0; i<outlines.size(); i++) {
- bbox.resize(outlines.get(i).getBounds());
- }
- }
-
- public final AABBox getBounds() {
- if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
- validateBoundingBox();
- }
- return bbox;
- }
-
- /**
- * @param obj the Object to compare this OutlineShape with
- * @return true if {@code obj} is an OutlineShape, not null,
- * same outlineState, equal bounds and equal outlines in the same order
- */
- public boolean equals(Object obj) {
- if( obj == this) {
- return true;
- }
- if( null == obj || !(obj instanceof OutlineShape) ) {
- return false;
- }
- final OutlineShape o = (OutlineShape) obj;
- if(getOutlineState() != o.getOutlineState()) {
- return false;
- }
- if(getOutlineNumber() != o.getOutlineNumber()) {
- return false;
- }
- if( !getBounds().equals( o.getBounds() ) ) {
- return false;
- }
- for (int i=getOutlineNumber()-1; i>=0; i--) {
- if( ! getOutline(i).equals( o.getOutline(i) ) ) {
- return false;
- }
- }
- return true;
- }
-
- /**
- * @return deep clone of this OutlineShape w/o Region
- */
- public OutlineShape clone() {
- OutlineShape o;
- try {
- o = (OutlineShape) super.clone();
- } catch (CloneNotSupportedException e) { throw new InternalError(); }
- o.bbox = bbox.clone();
- o.outlines = new ArrayList<Outline>(outlines.size());
- for(int i=0; i<outlines.size(); i++) {
- o.outlines.add(outlines.get(i).clone());
- }
- return o;
- }
-}
+/**
+ * Copyright 2010 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice, this list of
+ * conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright notice, this list
+ * of conditions and the following disclaimer in the documentation and/or other materials
+ * provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package com.jogamp.graph.curve;
+
+import java.util.ArrayList;
+import java.util.Collections;
+
+import com.jogamp.graph.curve.tess.Triangulation;
+import com.jogamp.graph.curve.tess.Triangulator;
+import com.jogamp.graph.geom.AABBox;
+import com.jogamp.graph.geom.Outline;
+import com.jogamp.graph.geom.Triangle;
+import com.jogamp.graph.geom.Vertex;
+import com.jogamp.graph.math.VectorUtil;
+
+
+/** A Generic shape objects which is defined by a list of Outlines.
+ * This Shape can be transformed to Triangulations.
+ * The list of triangles generated are render-able by a Region object.
+ * The triangulation produced by this Shape will define the
+ * closed region defined by the outlines.
+ *
+ * One or more OutlineShape Object can be associated to a region
+ * this is left as a high-level representation of the Objects. For
+ * optimizations, flexibility requirements for future features.
+ *
+ * <br><br>
+ * Example to creating an Outline Shape:
+ * <pre>
+ addVertex(...)
+ addVertex(...)
+ addVertex(...)
+ addEmptyOutline()
+ addVertex(...)
+ addVertex(...)
+ addVertex(...)
+ * </pre>
+ *
+ * The above will create two outlines each with three vertices. By adding these two outlines to
+ * the OutlineShape, we are stating that the combination of the two outlines represent the shape.
+ * <br>
+ *
+ * To specify that the shape is curved at a region, the on-curve flag should be set to false
+ * for the vertex that is in the middle of the curved region (if the curved region is defined by 3
+ * vertices (quadratic curve).
+ * <br>
+ * In case the curved region is defined by 4 or more vertices the middle vertices should both have
+ * the on-curve flag set to false.
+ *
+ * <br>Example: <br>
+ * <pre>
+ addVertex(0,0, true);
+ addVertex(0,1, false);
+ addVertex(1,1, false);
+ addVertex(1,0, true);
+ * </pre>
+ *
+ * The above snippet defines a cubic nurbs curve where (0,1 and 1,1)
+ * do not belong to the final rendered shape.
+ *
+ * <i>Implementation Notes:</i><br>
+ * <ul>
+ * <li> The first vertex of any outline belonging to the shape should be on-curve</li>
+ * <li> Intersections between off-curved parts of the outline is not handled</li>
+ * </ul>
+ *
+ * @see Outline
+ * @see Region
+ */
+public class OutlineShape implements Comparable<OutlineShape> {
+ /**
+ * Outline's vertices have undefined state until transformed.
+ */
+ public enum VerticesState {
+ UNDEFINED(0), QUADRATIC_NURBS(1);
+
+ public final int state;
+
+ VerticesState(int state){
+ this.state = state;
+ }
+ }
+
+ public static final int DIRTY_BOUNDS = 1 << 0;
+
+ private final Vertex.Factory<? extends Vertex> vertexFactory;
+ private VerticesState outlineState;
+
+ /** The list of {@link Outline}s that are part of this
+ * outline shape.
+ */
+ private ArrayList<Outline> outlines;
+ private AABBox bbox;
+
+ /** dirty bits DIRTY_BOUNDS */
+ private int dirtyBits;
+
+ /** Create a new Outline based Shape
+ */
+ public OutlineShape(Vertex.Factory<? extends Vertex> factory) {
+ this.vertexFactory = factory;
+ this.outlines = new ArrayList<Outline>(3);
+ this.outlines.add(new Outline());
+ this.outlineState = VerticesState.UNDEFINED;
+ this.bbox = new AABBox();
+ this.dirtyBits = 0;
+ }
+
+ /** Clears all data and reset all states as if this instance was newly created */
+ public void clear() {
+ outlines.clear();
+ outlines.add(new Outline());
+ outlineState = VerticesState.UNDEFINED;
+ bbox.reset();
+ dirtyBits = 0;
+ }
+
+ /** Returns the associated vertex factory of this outline shape
+ * @return Vertex.Factory object
+ */
+ public final Vertex.Factory<? extends Vertex> vertexFactory() { return vertexFactory; }
+
+ public int getOutlineNumber() {
+ return outlines.size();
+ }
+
+ /** Add a new empty {@link Outline}
+ * to the end of this shape's outline list.
+ * <p>If the {@link #getLastOutline()} is empty already, no new one will be added.</p>
+ *
+ * After a call to this function all new vertices added
+ * will belong to the new outline
+ */
+ public void addEmptyOutline() {
+ if( !getLastOutline().isEmpty() ) {
+ outlines.add(new Outline());
+ }
+ }
+
+ /** Appends the {@link Outline} element to the end,
+ * ensuring a clean tail.
+ *
+ * <p>A clean tail is ensured, no double empty Outlines are produced
+ * and a pre-existing empty outline will be replaced with the given one. </p>
+ *
+ * @param outline Outline object to be added
+ * @throws NullPointerException if the {@link Outline} element is null
+ */
+ public void addOutline(Outline outline) throws NullPointerException {
+ addOutline(outlines.size(), outline);
+ }
+
+ /** Insert the {@link Outline} element at the given {@code position}.
+ *
+ * <p>If the {@code position} indicates the end of this list,
+ * a clean tail is ensured, no double empty Outlines are produced
+ * and a pre-existing empty outline will be replaced with the given one. </p>
+ *
+ * @param position of the added Outline
+ * @param outline Outline object to be added
+ * @throws NullPointerException if the {@link Outline} element is null
+ * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position > getOutlineNumber())
+ */
+ public void addOutline(int position, Outline outline) throws NullPointerException, IndexOutOfBoundsException {
+ if (null == outline) {
+ throw new NullPointerException("outline is null");
+ }
+ if( outlines.size() == position ) {
+ final Outline lastOutline = getLastOutline();
+ if( outline.isEmpty() && lastOutline.isEmpty() ) {
+ return;
+ }
+ if( lastOutline.isEmpty() ) {
+ outlines.set(position-1, outline);
+ if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
+ bbox.resize(outline.getBounds());
+ }
+ return;
+ }
+ }
+ outlines.add(position, outline);
+ if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
+ bbox.resize(outline.getBounds());
+ }
+ }
+
+ /** Insert the {@link OutlineShape} elements of type {@link Outline}, .. at the end of this shape,
+ * using {@link #addOutline(Outline)} for each element.
+ * <p>Closes the current last outline via {@link #closeLastOutline()} before adding the new ones.</p>
+ * @param outlineShape OutlineShape elements to be added.
+ * @throws NullPointerException if the {@link OutlineShape} is null
+ * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position > getOutlineNumber())
+ */
+ public void addOutlineShape(OutlineShape outlineShape) throws NullPointerException {
+ if (null == outlineShape) {
+ throw new NullPointerException("OutlineShape is null");
+ }
+ closeLastOutline();
+ for(int i=0; i<outlineShape.getOutlineNumber(); i++) {
+ addOutline(outlineShape.getOutline(i));
+ }
+ }
+
+ /** Replaces the {@link Outline} element at the given {@code position}.
+ * <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
+ *
+ * @param position of the replaced Outline
+ * @param outline replacement Outline object
+ * @throws NullPointerException if the {@link Outline} element is null
+ * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
+ */
+ public void setOutline(int position, Outline outline) throws NullPointerException, IndexOutOfBoundsException {
+ if (null == outline) {
+ throw new NullPointerException("outline is null");
+ }
+ outlines.set(position, outline);
+ dirtyBits |= DIRTY_BOUNDS;
+ }
+
+ /** Removes the {@link Outline} element at the given {@code position}.
+ * <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
+ *
+ * @param position of the to be removed Outline
+ * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
+ */
+ public final Outline removeOutline(int position) throws IndexOutOfBoundsException {
+ dirtyBits |= DIRTY_BOUNDS;
+ return outlines.remove(position);
+ }
+
+ /** Get the last added outline to the list
+ * of outlines that define the shape
+ * @return the last outline
+ */
+ public final Outline getLastOutline() {
+ return outlines.get(outlines.size()-1);
+ }
+
+ /** @return the {@code Outline} at {@code position}
+ * @throws IndexOutOfBoundsException if position is out of range (position < 0 || position >= getOutlineNumber())
+ */
+ public Outline getOutline(int position) throws IndexOutOfBoundsException {
+ return outlines.get(position);
+ }
+
+ /** Adds a vertex to the last open outline in the
+ * shape.
+ * @param v the vertex to be added to the OutlineShape
+ */
+ public final void addVertex(Vertex v) {
+ final Outline lo = getLastOutline();
+ lo.addVertex(v);
+ if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
+ bbox.resize(lo.getBounds());
+ }
+ }
+
+ /** Adds a vertex to the last open outline in the shape.
+ * at {@code position}
+ * @param position indx at which the vertex will be added
+ * @param v the vertex to be added to the OutlineShape
+ */
+ public final void addVertex(int position, Vertex v) {
+ final Outline lo = getLastOutline();
+ lo.addVertex(position, v);
+ if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
+ bbox.resize(lo.getBounds());
+ }
+ }
+
+ /** Add a 2D {@link Vertex} to the last outline by defining the coordniate attribute
+ * of the vertex. The 2D vertex will be represented as Z=0.
+ *
+ * @param x the x coordinate
+ * @param y the y coordniate
+ * @param onCurve flag if this vertex is on the final curve or defines a curved region
+ * of the shape around this vertex.
+ */
+ public final void addVertex(float x, float y, boolean onCurve) {
+ addVertex(vertexFactory.create(x, y, 0f, onCurve));
+ }
+
+ /** Add a 3D {@link Vertex} to the last outline by defining the coordniate attribute
+ * of the vertex.
+ * @param x the x coordinate
+ * @param y the y coordinate
+ * @param z the z coordinate
+ * @param onCurve flag if this vertex is on the final curve or defines a curved region
+ * of the shape around this vertex.
+ */
+ public final void addVertex(float x, float y, float z, boolean onCurve) {
+ addVertex(vertexFactory.create(x, y, z, onCurve));
+ }
+
+ /** Add a vertex to the last outline by passing a float array and specifying the
+ * offset and length in which. The attributes of the vertex are located.
+ * The attributes should be continuous (stride = 0).
+ * Attributes which value are not set (when length less than 3)
+ * are set implicitly to zero.
+ * @param coordsBuffer the coordinate array where the vertex attributes are to be picked from
+ * @param offset the offset in the buffer to the x coordinate
+ * @param length the number of attributes to pick from the buffer (maximum 3)
+ * @param onCurve flag if this vertex is on the final curve or defines a curved region
+ * of the shape around this vertex.
+ */
+ public final void addVertex(float[] coordsBuffer, int offset, int length, boolean onCurve) {
+ addVertex(vertexFactory.create(coordsBuffer, offset, length, onCurve));
+ }
+
+ /** Closes the last outline in the shape.
+ * <p>If last vertex is not equal to first vertex.
+ * A new temp vertex is added at the end which
+ * is equal to the first.</p>
+ */
+ public void closeLastOutline() {
+ getLastOutline().setClosed(true);
+ }
+
+ /**
+ * @return the outline's vertices state, {@link OutlineShape.VerticesState}
+ */
+ public final VerticesState getOutlineState() {
+ return outlineState;
+ }
+
+ /** Ensure the outlines represent
+ * the specified destinationType.
+ * and removes all overlaps in boundary triangles
+ * @param destinationType the target outline's vertices state. Currently only
+ * {@link OutlineShape.VerticesState#QUADRATIC_NURBS} are supported.
+ */
+ public void transformOutlines(VerticesState destinationType) {
+ if(outlineState != destinationType){
+ if(destinationType == VerticesState.QUADRATIC_NURBS){
+ transformOutlines2Quadratic();
+ checkOverlaps();
+ } else {
+ throw new IllegalStateException("destinationType "+destinationType.name()+" not supported (currently "+outlineState.name()+")");
+ }
+ }
+ }
+
+ private void subdivideTriangle(final Outline outline, Vertex a, Vertex b, Vertex c, int index){
+ float[] v1 = VectorUtil.mid(a.getCoord(), b.getCoord());
+ float[] v3 = VectorUtil.mid(b.getCoord(), c.getCoord());
+ float[] v2 = VectorUtil.mid(v1, v3);
+
+ //drop off-curve vertex to image on the curve
+ b.setCoord(v2, 0, 3);
+ b.setOnCurve(true);
+
+ outline.addVertex(index, vertexFactory.create(v1, 0, 3, false));
+ outline.addVertex(index+2, vertexFactory.create(v3, 0, 3, false));
+ }
+
+ /** Check overlaps between curved triangles
+ * first check if any vertex in triangle a is in triangle b
+ * second check if edges of triangle a intersect segments of triangle b
+ * if any of the two tests is true we divide current triangle
+ * and add the other to the list of overlaps
+ *
+ * Loop until overlap array is empty. (check only in first pass)
+ */
+ private void checkOverlaps() {
+ ArrayList<Vertex> overlaps = new ArrayList<Vertex>(3);
+ int count = getOutlineNumber();
+ boolean firstpass = true;
+ do {
+ for (int cc = 0; cc < count; cc++) {
+ final Outline outline = getOutline(cc);
+ int vertexCount = outline.getVertexCount();
+ for(int i=0; i < outline.getVertexCount(); i++) {
+ final Vertex currentVertex = outline.getVertex(i);
+ if ( !currentVertex.isOnCurve()) {
+ final Vertex nextV = outline.getVertex((i+1)%vertexCount);
+ final Vertex prevV = outline.getVertex((i+vertexCount-1)%vertexCount);
+ Vertex overlap =null;
+
+ //check for overlap even if already set for subdivision
+ //ensuring both trianglur overlaps get divided
+ //for pref. only check in first pass
+ //second pass to clear the overlaps arrray(reduces precision errors)
+ if(firstpass) {
+ overlap = checkTriOverlaps(prevV, currentVertex, nextV);
+ }
+ if(overlaps.contains(currentVertex) || overlap != null) {
+ overlaps.remove(currentVertex);
+
+ subdivideTriangle(outline, prevV, currentVertex, nextV, i);
+ i+=3;
+ vertexCount+=2;
+
+ if(overlap != null && !overlap.isOnCurve()) {
+ if(!overlaps.contains(overlap))
+ overlaps.add(overlap);
+ }
+ }
+ }
+ }
+ }
+ firstpass = false;
+ }while(!overlaps.isEmpty());
+ }
+
+ private Vertex checkTriOverlaps(Vertex a, Vertex b, Vertex c) {
+ int count = getOutlineNumber();
+ for (int cc = 0; cc < count; cc++) {
+ final Outline outline = getOutline(cc);
+ int vertexCount = outline.getVertexCount();
+ for(int i=0; i < vertexCount; i++) {
+ final Vertex current = outline.getVertex(i);
+ if(current.isOnCurve() || current == a || current == b || current == c) {
+ continue;
+ }
+ final Vertex nextV = outline.getVertex((i+1)%vertexCount);
+ final Vertex prevV = outline.getVertex((i+vertexCount-1)%vertexCount);
+
+ //skip neighboring triangles
+ if(prevV == c || nextV == a) {
+ continue;
+ }
+
+ if(VectorUtil.vertexInTriangle(a.getCoord(), b.getCoord(), c.getCoord(), current.getCoord())
+ || VectorUtil.vertexInTriangle(a.getCoord(), b.getCoord(), c.getCoord(), nextV.getCoord())
+ || VectorUtil.vertexInTriangle(a.getCoord(), b.getCoord(), c.getCoord(), prevV.getCoord())) {
+
+ return current;
+ }
+ if(VectorUtil.tri2SegIntersection(a, b, c, prevV, current)
+ || VectorUtil.tri2SegIntersection(a, b, c, current, nextV)
+ || VectorUtil.tri2SegIntersection(a, b, c, prevV, nextV)) {
+ return current;
+ }
+ }
+ }
+ return null;
+ }
+
+ private void transformOutlines2Quadratic() {
+ int count = getOutlineNumber();
+ for (int cc = 0; cc < count; cc++) {
+ final Outline outline = getOutline(cc);
+ int vertexCount = outline.getVertexCount();
+
+ for(int i=0; i < vertexCount; i++) {
+ final Vertex currentVertex = outline.getVertex(i);
+ final Vertex nextVertex = outline.getVertex((i+1)%vertexCount);
+ if ( !currentVertex.isOnCurve() && !nextVertex.isOnCurve() ) {
+ final float[] newCoords = VectorUtil.mid(currentVertex.getCoord(),
+ nextVertex.getCoord());
+ final Vertex v = vertexFactory.create(newCoords, 0, 3, true);
+ i++;
+ vertexCount++;
+ outline.addVertex(i, v);
+ }
+ }
+ if(vertexCount <= 0) {
+ outlines.remove(outline);
+ cc--;
+ count--;
+ continue;
+ }
+
+ if( vertexCount > 0 ) {
+ if(VectorUtil.checkEquality(outline.getVertex(0).getCoord(),
+ outline.getLastVertex().getCoord())) {
+ outline.removeVertex(vertexCount-1);
+ }
+ }
+ }
+ outlineState = VerticesState.QUADRATIC_NURBS;
+ }
+
+ private void generateVertexIds() {
+ int maxVertexId = 0;
+ for(int i=0; i<outlines.size(); i++) {
+ final ArrayList<Vertex> vertices = outlines.get(i).getVertices();
+ for(int pos=0; pos<vertices.size(); pos++) {
+ Vertex vert = vertices.get(pos);
+ vert.setId(maxVertexId);
+ maxVertexId++;
+ }
+ }
+ }
+
+ /** @return the list of concatenated vertices associated with all
+ * {@code Outline}s of this object
+ */
+ public ArrayList<Vertex> getVertices() {
+ ArrayList<Vertex> vertices = new ArrayList<Vertex>();
+ for(int i=0; i<outlines.size(); i++) {
+ vertices.addAll(outlines.get(i).getVertices());
+ }
+ return vertices;
+ }
+
+ /**
+ * Triangulate the {@link OutlineShape} generating a list of triangles
+ * @return an arraylist of triangles representing the filled region
+ * which is produced by the combination of the outlines
+ */
+ public ArrayList<Triangle> triangulate() {
+ if(outlines.size() == 0){
+ return null;
+ }
+ sortOutlines();
+ generateVertexIds();
+
+ Triangulator triangulator2d = Triangulation.create();
+ for(int index = 0; index<outlines.size(); index++) {
+ triangulator2d.addCurve(outlines.get(index));
+ }
+
+ ArrayList<Triangle> triangles = triangulator2d.generate();
+ triangulator2d.reset();
+
+ return triangles;
+ }
+
+ /** Sort the outlines from large
+ * to small depending on the AABox
+ */
+ private void sortOutlines() {
+ Collections.sort(outlines);
+ Collections.reverse(outlines);
+ }
+
+ /** Compare two outline shapes with Bounding Box area
+ * as criteria.
+ * @see java.lang.Comparable#compareTo(java.lang.Object)
+ */
+ public final int compareTo(OutlineShape outline) {
+ float size = getBounds().getSize();
+ float newSize = outline.getBounds().getSize();
+ if(size < newSize){
+ return -1;
+ }
+ else if(size > newSize){
+ return 1;
+ }
+ return 0;
+ }
+
+ private final void validateBoundingBox() {
+ dirtyBits &= ~DIRTY_BOUNDS;
+ bbox.reset();
+ for (int i=0; i<outlines.size(); i++) {
+ bbox.resize(outlines.get(i).getBounds());
+ }
+ }
+
+ public final AABBox getBounds() {
+ if( 0 == ( dirtyBits & DIRTY_BOUNDS ) ) {
+ validateBoundingBox();
+ }
+ return bbox;
+ }
+
+ /**
+ * @param obj the Object to compare this OutlineShape with
+ * @return true if {@code obj} is an OutlineShape, not null,
+ * same outlineState, equal bounds and equal outlines in the same order
+ */
+ public boolean equals(Object obj) {
+ if( obj == this) {
+ return true;
+ }
+ if( null == obj || !(obj instanceof OutlineShape) ) {
+ return false;
+ }
+ final OutlineShape o = (OutlineShape) obj;
+ if(getOutlineState() != o.getOutlineState()) {
+ return false;
+ }
+ if(getOutlineNumber() != o.getOutlineNumber()) {
+ return false;
+ }
+ if( !getBounds().equals( o.getBounds() ) ) {
+ return false;
+ }
+ for (int i=getOutlineNumber()-1; i>=0; i--) {
+ if( ! getOutline(i).equals( o.getOutline(i) ) ) {
+ return false;
+ }
+ }
+ return true;
+ }
+
+ /**
+ * @return deep clone of this OutlineShape w/o Region
+ */
+ public OutlineShape clone() {
+ OutlineShape o;
+ try {
+ o = (OutlineShape) super.clone();
+ } catch (CloneNotSupportedException e) { throw new InternalError(); }
+ o.bbox = bbox.clone();
+ o.outlines = new ArrayList<Outline>(outlines.size());
+ for(int i=0; i<outlines.size(); i++) {
+ o.outlines.add(outlines.get(i).clone());
+ }
+ return o;
+ }
+}
diff --git a/src/jogl/classes/com/jogamp/graph/geom/Outline.java b/src/jogl/classes/com/jogamp/graph/geom/Outline.java
index 9e90e5a2c..5030488cc 100644
--- a/src/jogl/classes/com/jogamp/graph/geom/Outline.java
+++ b/src/jogl/classes/com/jogamp/graph/geom/Outline.java
@@ -44,23 +44,23 @@ import com.jogamp.graph.math.VectorUtil;
* @see OutlineShape, Region
*/
public class Outline implements Cloneable, Comparable<Outline> {
-
+
private ArrayList<Vertex> vertices = new ArrayList<Vertex>(3);
private boolean closed = false;
private AABBox bbox = new AABBox();
private boolean dirtyBBox = false;
-
+
/**Create an outline defined by control vertices.
* An outline can contain off Curve vertices which define curved
* regions in the outline.
*/
public Outline() {
}
-
+
public final int getVertexCount() {
return vertices.size();
}
-
+
/** Appends a vertex to the outline loop/strip.
* @param vertex Vertex to be added
* @throws NullPointerException if the {@link Vertex} element is null
@@ -68,7 +68,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
public final void addVertex(Vertex vertex) throws NullPointerException {
addVertex(vertices.size(), vertex);
}
-
+
/** Insert the {@link Vertex} element at the given {@code position} to the outline loop/strip.
* @param position of the added Vertex
* @param vertex Vertex object to be added
@@ -84,7 +84,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
bbox.resize(vertex.getX(), vertex.getY(), vertex.getZ());
}
}
-
+
/** Replaces the {@link Vertex} element at the given {@code position}.
* <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
*
@@ -100,11 +100,15 @@ public class Outline implements Cloneable, Comparable<Outline> {
vertices.set(position, vertex);
dirtyBBox = true;
}
-
+
public final Vertex getVertex(int index){
return vertices.get(index);
}
-
+
+ public int getVertexIndex(Vertex vertex){
+ return vertices.indexOf(vertex);
+ }
+
/** Removes the {@link Vertex} element at the given {@code position}.
* <p>Sets the bounding box dirty, hence a next call to {@link #getBounds()} will validate it.</p>
*
@@ -115,18 +119,18 @@ public class Outline implements Cloneable, Comparable<Outline> {
dirtyBBox = true;
return vertices.remove(position);
}
-
+
public final boolean isEmpty(){
return (vertices.size() == 0);
}
-
+
public final Vertex getLastVertex(){
if(isEmpty()){
return null;
}
return vertices.get(vertices.size()-1);
}
-
+
public final ArrayList<Vertex> getVertices() {
return vertices;
}
@@ -141,7 +145,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
this.vertices = vertices;
validateBoundingBox();
}
-
+
public final boolean isClosed() {
return closed;
}
@@ -163,7 +167,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
}
}
}
-
+
/** Compare two outlines with Bounding Box area
* as criteria.
* @see java.lang.Comparable#compareTo(java.lang.Object)
@@ -179,7 +183,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
}
return 0;
}
-
+
private final void validateBoundingBox() {
dirtyBBox = false;
bbox.reset();
@@ -187,7 +191,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
bbox.resize(vertices.get(i).getCoord(), 0);
}
}
-
+
public final AABBox getBounds() {
if (dirtyBBox) {
validateBoundingBox();
@@ -220,7 +224,7 @@ public class Outline implements Cloneable, Comparable<Outline> {
}
return true;
}
-
+
/**
* @return deep clone of this Outline
*/
diff --git a/src/jogl/classes/com/jogamp/graph/math/VectorUtil.java b/src/jogl/classes/com/jogamp/graph/math/VectorUtil.java
index b91969745..b1f2023f3 100755
--- a/src/jogl/classes/com/jogamp/graph/math/VectorUtil.java
+++ b/src/jogl/classes/com/jogamp/graph/math/VectorUtil.java
@@ -44,7 +44,7 @@ public class VectorUtil {
this.dir = dir;
}
}
-
+
public static final int COLLINEAR = 0;
/** compute the dot product of two points
@@ -88,7 +88,7 @@ public class VectorUtil {
newVector[2] = vector[2]*scale;
return newVector;
}
-
+
/** Adds to vectors
* @param v1 vector 1
* @param v2 vector 2
@@ -135,7 +135,7 @@ public class VectorUtil {
return out;
}
-
+
/** Matrix Vector multiplication
* @param rawMatrix column matrix (4x4)
* @param vec vector(x,y,z)
@@ -151,7 +151,7 @@ public class VectorUtil {
return out;
}
-
+
/** Calculate the midpoint of two values
* @param p1 first value
* @param p2 second vale
@@ -169,9 +169,9 @@ public class VectorUtil {
public static float[] mid(float[] p1, float[] p2)
{
float[] midPoint = new float[3];
- midPoint[0] = (p1[0] + p2[0])/2.0f;
- midPoint[1] = (p1[1] + p2[1])/2.0f;
- midPoint[2] = (p1[2] + p2[2])/2.0f;
+ midPoint[0] = (p1[0] + p2[0])*0.5f;
+ midPoint[1] = (p1[1] + p2[1])*0.5f;
+ midPoint[2] = (p1[2] + p2[2])*0.5f;
return midPoint;
}
@@ -206,8 +206,8 @@ public class VectorUtil {
public static boolean checkEquality(float[] v1, float[] v2)
{
if(Float.compare(v1[0], v2[0]) == 0 &&
- Float.compare(v1[1], v2[1]) == 0 &&
- Float.compare(v1[2], v2[2]) == 0 )
+ Float.compare(v1[1], v2[1]) == 0 &&
+ Float.compare(v1[2], v2[2]) == 0 )
return true;
return false;
}
@@ -220,7 +220,7 @@ public class VectorUtil {
public static boolean checkEqualityVec2(float[] v1, float[] v2)
{
if(Float.compare(v1[0], v2[0]) == 0 &&
- Float.compare(v1[1], v2[1]) == 0)
+ Float.compare(v1[1], v2[1]) == 0)
return true;
return false;
}
@@ -288,6 +288,36 @@ public class VectorUtil {
return (b.getX() - a.getX()) * (c.getY() - a.getY()) - (b.getY() - a.getY())*(c.getX() - a.getX());
}
+ /** Check if a vertex is in triangle using
+ * barycentric coordinates computation.
+ * @param a first triangle vertex
+ * @param b second triangle vertex
+ * @param c third triangle vertex
+ * @param p the vertex in question
+ * @return true if p is in triangle (a, b, c), false otherwise.
+ */
+ public static boolean vertexInTriangle(float[] a, float[] b, float[] c, float[] p){
+ // Compute vectors
+ float[] ac = computeVector(a, c); //v0
+ float[] ab = computeVector(a, b); //v1
+ float[] ap = computeVector(a, p); //v2
+
+ // Compute dot products
+ float dot00 = dot(ac, ac);
+ float dot01 = dot(ac, ab);
+ float dot02 = dot(ac, ap);
+ float dot11 = dot(ab, ab);
+ float dot12 = dot(ab, ap);
+
+ // Compute barycentric coordinates
+ float invDenom = 1 / (dot00 * dot11 - dot01 * dot01);
+ float u = (dot11 * dot02 - dot01 * dot12) * invDenom;
+ float v = (dot00 * dot12 - dot01 * dot02) * invDenom;
+
+ // Check if point is in triangle
+ return (u >= 0) && (v >= 0) && (u + v < 1);
+ }
+
/** Check if points are in ccw order
* @param a first vertex
* @param b second vertex
@@ -323,7 +353,81 @@ public class VectorUtil {
}
return area;
}
+
+ /** Compute the general winding of the vertices
+ * @param vertices array of Vertices
+ * @return CCW or CW {@link Winding}
+ */
public static Winding getWinding(ArrayList<Vertex> vertices) {
return area(vertices) >= 0 ? Winding.CCW : Winding.CW ;
}
+
+
+ /** Compute intersection between two segments
+ * @param a vertex 1 of first segment
+ * @param b vertex 2 of first segment
+ * @param c vertex 1 of second segment
+ * @param d vertex 2 of second segment
+ * @return the intersection coordinates if the segments intersect, otherwise
+ * returns null
+ */
+ public static float[] seg2SegIntersection(Vertex a, Vertex b, Vertex c, Vertex d) {
+ float determinant = (a.getX()-b.getX())*(c.getY()-d.getY()) - (a.getY()-b.getY())*(c.getX()-d.getX());
+
+ if (determinant == 0)
+ return null;
+
+ float alpha = (a.getX()*b.getY()-a.getY()*b.getX());
+ float beta = (c.getX()*d.getY()-c.getY()*d.getY());
+ float xi = ((c.getX()-d.getX())*alpha-(a.getX()-b.getX())*beta)/determinant;
+ float yi = ((c.getY()-d.getY())*alpha-(a.getY()-b.getY())*beta)/determinant;
+
+ float gamma = (xi - a.getX())/(b.getX() - a.getX());
+ float gamma1 = (xi - c.getX())/(d.getX() - c.getX());
+ if(gamma <= 0 || gamma >= 1) return null;
+ if(gamma1 <= 0 || gamma1 >= 1) return null;
+
+ return new float[]{xi,yi,0};
+ }
+
+ /** Compute intersection between two lines
+ * @param a vertex 1 of first line
+ * @param b vertex 2 of first line
+ * @param c vertex 1 of second line
+ * @param d vertex 2 of second line
+ * @return the intersection coordinates if the lines intersect, otherwise
+ * returns null
+ */
+ public static float[] line2lineIntersection(Vertex a, Vertex b, Vertex c, Vertex d) {
+ float determinant = (a.getX()-b.getX())*(c.getY()-d.getY()) - (a.getY()-b.getY())*(c.getX()-d.getX());
+
+ if (determinant == 0)
+ return null;
+
+ float alpha = (a.getX()*b.getY()-a.getY()*b.getX());
+ float beta = (c.getX()*d.getY()-c.getY()*d.getY());
+ float xi = ((c.getX()-d.getX())*alpha-(a.getX()-b.getX())*beta)/determinant;
+ float yi = ((c.getY()-d.getY())*alpha-(a.getY()-b.getY())*beta)/determinant;
+
+ return new float[]{xi,yi,0};
+ }
+
+ /** Check if a segment intersects with a triangle
+ * @param a vertex 1 of the triangle
+ * @param b vertex 2 of the triangle
+ * @param c vertex 3 of the triangle
+ * @param d vertex 1 of first segment
+ * @param e vertex 2 of first segment
+ * @return true if the segment intersects at least one segment of the triangle, false otherwise
+ */
+ public static boolean tri2SegIntersection(Vertex a, Vertex b, Vertex c, Vertex d, Vertex e){
+ if(seg2SegIntersection(a, b, d, e) != null)
+ return true;
+ if(seg2SegIntersection(b, c, d, e) != null)
+ return true;
+ if(seg2SegIntersection(a, c, d, e) != null)
+ return true;
+
+ return false;
+ }
}
diff --git a/src/jogl/classes/jogamp/graph/font/typecast/TypecastRenderer.java b/src/jogl/classes/jogamp/graph/font/typecast/TypecastRenderer.java
index 86d4d2a3d..b3ee9c95b 100644
--- a/src/jogl/classes/jogamp/graph/font/typecast/TypecastRenderer.java
+++ b/src/jogl/classes/jogamp/graph/font/typecast/TypecastRenderer.java
@@ -1,221 +1,220 @@
-/**
- * Copyright 2011 JogAmp Community. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without modification, are
- * permitted provided that the following conditions are met:
- *
- * 1. Redistributions of source code must retain the above copyright notice, this list of
- * conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright notice, this list
- * of conditions and the following disclaimer in the documentation and/or other materials
- * provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
- * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
- * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
- * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
- * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
- * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
- * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- *
- * The views and conclusions contained in the software and documentation are those of the
- * authors and should not be interpreted as representing official policies, either expressed
- * or implied, of JogAmp Community.
- */
-package jogamp.graph.font.typecast;
-
-import java.util.ArrayList;
-
-import jogamp.graph.font.typecast.ot.OTGlyph;
-import jogamp.graph.font.typecast.ot.Point;
-import jogamp.graph.geom.plane.AffineTransform;
-import jogamp.graph.geom.plane.Path2D;
-import jogamp.graph.geom.plane.PathIterator;
-
-import com.jogamp.graph.curve.OutlineShape;
-import com.jogamp.graph.font.Font;
-import com.jogamp.graph.geom.Vertex;
-import com.jogamp.graph.geom.Vertex.Factory;
-
-/**
- * Factory to build a {@link com.jogamp.graph.geom.Path2D Path2D} from
- * {@link jogamp.graph.font.typecast.ot.OTGlyph Glyph}s.
- */
-public class TypecastRenderer {
-
- private static void getPaths(TypecastFont font,
- CharSequence string, float pixelSize, AffineTransform transform, Path2D[] p)
- {
- if (string == null) {
- return;
- }
- Font.Metrics metrics = font.getMetrics();
- float advanceTotal = 0;
- float lineGap = metrics.getLineGap(pixelSize) ;
- float ascent = metrics.getAscent(pixelSize) ;
- float descent = metrics.getDescent(pixelSize) ;
- if (transform == null) {
- transform = new AffineTransform();
- }
- AffineTransform t = new AffineTransform();
-
- float advanceY = lineGap - descent + ascent;
- float y = 0;
- for (int i=0; i<string.length(); i++)
- {
- p[i] = new Path2D();
- p[i].reset();
- t.setTransform(transform);
- char character = string.charAt(i);
- if (character == '\n') {
- y += advanceY;
- advanceTotal = 0;
- continue;
- } else if (character == ' ') {
- advanceTotal += font.font.getHmtxTable().getAdvanceWidth(TypecastGlyph.ID_SPACE) * metrics.getScale(pixelSize);
- continue;
- }
- TypecastGlyph glyph = (TypecastGlyph) font.getGlyph(character);
- Path2D gp = glyph.getPath();
- float scale = metrics.getScale(pixelSize);
- t.translate(advanceTotal, y);
- t.scale(scale, scale);
- p[i].append(gp.iterator(t), false);
- advanceTotal += glyph.getAdvance(pixelSize, true);
- }
- }
-
- public static ArrayList<OutlineShape> getOutlineShapes(TypecastFont font, CharSequence string, float pixelSize, AffineTransform transform, Factory<? extends Vertex> vertexFactory) {
- Path2D[] paths = new Path2D[string.length()];
- getPaths(font, string, pixelSize, transform, paths);
-
- ArrayList<OutlineShape> shapes = new ArrayList<OutlineShape>();
- final int numGlyps = paths.length;
- for (int index=0;index<numGlyps;index++) {
- if(paths[index] == null){
- continue;
- }
- OutlineShape shape = new OutlineShape(vertexFactory);
- shapes.add(shape);
- PathIterator iterator = paths[index].iterator(transform);
- if(null != iterator){
- while(!iterator.isDone()){
- float[] coords = new float[6];
- int segmentType = iterator.currentSegment(coords);
- addPathVertexToOutline(shape, vertexFactory, coords, segmentType);
- iterator.next();
- }
- }
- }
- return shapes;
- }
- private static void addPathVertexToOutline(OutlineShape shape, Factory<? extends Vertex> vertexFactory, float[] coords, int segmentType){
- switch(segmentType) {
- case PathIterator.SEG_MOVETO:
- shape.closeLastOutline();
- shape.addEmptyOutline();
- shape.addVertex(0, vertexFactory.create(coords, 0, 2, true));
- //numVertices++;
- break;
- case PathIterator.SEG_LINETO:
- shape.addVertex(0, vertexFactory.create(coords, 0, 2, true));
- break;
- case PathIterator.SEG_QUADTO:
- shape.addVertex(0, vertexFactory.create(coords, 0, 2, false));
- shape.addVertex(0, vertexFactory.create(coords, 2, 2, true));
- break;
- case PathIterator.SEG_CUBICTO:
- shape.addVertex(0, vertexFactory.create(coords, 0, 2, false));
- shape.addVertex(0, vertexFactory.create(coords, 2, 2, false));
- shape.addVertex(0, vertexFactory.create(coords, 4, 2, true));
- break;
- case PathIterator.SEG_CLOSE:
- shape.closeLastOutline();
- break;
- default:
- throw new IllegalArgumentException("Unhandled Segment Type: "+segmentType);
- }
- }
-
- /**
- * Build a {@link com.jogamp.graph.geom.Path2D Path2D} from a
- * {@link jogamp.graph.font.typecast.ot.OTGlyph Glyph}. This glyph path can then
- * be transformed and rendered.
- */
- public static Path2D buildPath(OTGlyph glyph) {
-
- if (glyph == null) {
- return null;
- }
-
- Path2D glyphPath = new Path2D();
-
- // Iterate through all of the points in the glyph. Each time we find a
- // contour end point, add the point range to the path.
- int firstIndex = 0;
- int count = 0;
- for (int i = 0; i < glyph.getPointCount(); i++) {
- count++;
- if (glyph.getPoint(i).endOfContour) {
- addContourToPath(glyphPath, glyph, firstIndex, count);
- firstIndex = i + 1;
- count = 0;
- }
- }
- return glyphPath;
- }
-
- private static void addContourToPath(Path2D gp, OTGlyph glyph, int startIndex, int count) {
- int offset = 0;
- while (offset < count) {
- Point point = glyph.getPoint(startIndex + offset%count);
- Point point_plus1 = glyph.getPoint(startIndex + (offset+1)%count);
- Point point_plus2 = glyph.getPoint(startIndex + (offset+2)%count);
- if(offset == 0)
- {
- gp.moveTo(point.x, point.y);
- }
-
- if (point.onCurve) {
- if (point_plus1.onCurve) {
- // s = new Line2D.Float(point.x, point.y, point_plus1.x, point_plus1.y);
- gp.lineTo( point_plus1.x, point_plus1.y );
- offset++;
- } else {
- if (point_plus2.onCurve) {
- // s = new QuadCurve2D.Float( point.x, point.y, point_plus1.x, point_plus1.y, point_plus2.x, point_plus2.y);
- gp.quadTo(point_plus1.x, point_plus1.y, point_plus2.x, point_plus2.y);
- offset+=2;
- } else {
- // s = new QuadCurve2D.Float(point.x,point.y,point_plus1.x,point_plus1.y,
- // midValue(point_plus1.x, point_plus2.x), midValue(point_plus1.y, point_plus2.y));
- gp.quadTo(point_plus1.x, point_plus1.y, midValue(point_plus1.x, point_plus2.x), midValue(point_plus1.y, point_plus2.y));
- offset+=2;
- }
- }
- } else {
- if (point_plus1.onCurve) {
- // s = new QuadCurve2D.Float(midValue(point_minus1.x, point.x), midValue(point_minus1.y, point.y),
- // point.x, point.y, point_plus1.x, point_plus1.y);
- //gp.curve3(point_plus1.x, point_plus1.y, point.x, point.y);
- gp.quadTo(point.x, point.y, point_plus1.x, point_plus1.y);
- offset++;
-
- } else {
- // s = new QuadCurve2D.Float(midValue(point_minus1.x, point.x), midValue(point_minus1.y, point.y), point.x, point.y,
- // midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y));
- //gp.curve3(midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y), point.x, point.y);
- gp.quadTo(point.x, point.y, midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y));
- offset++;
- }
- }
- }
- }
-
- private static int midValue(int a, int b) {
- return a + (b - a)/2;
- }
-}
+/**
+ * Copyright 2011 JogAmp Community. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification, are
+ * permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice, this list of
+ * conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright notice, this list
+ * of conditions and the following disclaimer in the documentation and/or other materials
+ * provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY JogAmp Community ``AS IS'' AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL JogAmp Community OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+ * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ * ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * The views and conclusions contained in the software and documentation are those of the
+ * authors and should not be interpreted as representing official policies, either expressed
+ * or implied, of JogAmp Community.
+ */
+package jogamp.graph.font.typecast;
+
+import java.util.ArrayList;
+
+import jogamp.graph.font.typecast.ot.OTGlyph;
+import jogamp.graph.font.typecast.ot.Point;
+import jogamp.graph.geom.plane.AffineTransform;
+import jogamp.graph.geom.plane.Path2D;
+import jogamp.graph.geom.plane.PathIterator;
+
+import com.jogamp.graph.curve.OutlineShape;
+import com.jogamp.graph.font.Font;
+import com.jogamp.graph.geom.Vertex;
+import com.jogamp.graph.geom.Vertex.Factory;
+
+/**
+ * Factory to build a {@link com.jogamp.graph.geom.Path2D Path2D} from
+ * {@link jogamp.graph.font.typecast.ot.OTGlyph Glyph}s.
+ */
+public class TypecastRenderer {
+
+ private static void getPaths(TypecastFont font,
+ CharSequence string, float pixelSize, AffineTransform transform, Path2D[] p)
+ {
+ if (string == null) {
+ return;
+ }
+ Font.Metrics metrics = font.getMetrics();
+ float advanceTotal = 0;
+ float lineGap = metrics.getLineGap(pixelSize) ;
+ float ascent = metrics.getAscent(pixelSize) ;
+ float descent = metrics.getDescent(pixelSize) ;
+ if (transform == null) {
+ transform = new AffineTransform();
+ }
+ AffineTransform t = new AffineTransform();
+
+ float advanceY = lineGap - descent + ascent;
+ float y = 0;
+ for (int i=0; i<string.length(); i++)
+ {
+ p[i] = new Path2D();
+ p[i].reset();
+ t.setTransform(transform);
+ char character = string.charAt(i);
+ if (character == '\n') {
+ y += advanceY;
+ advanceTotal = 0;
+ continue;
+ } else if (character == ' ') {
+ advanceTotal += font.font.getHmtxTable().getAdvanceWidth(TypecastGlyph.ID_SPACE) * metrics.getScale(pixelSize);
+ continue;
+ }
+ TypecastGlyph glyph = (TypecastGlyph) font.getGlyph(character);
+ Path2D gp = glyph.getPath();
+ float scale = metrics.getScale(pixelSize);
+ t.translate(advanceTotal, y);
+ t.scale(scale, scale);
+ p[i].append(gp.iterator(t), false);
+ advanceTotal += glyph.getAdvance(pixelSize, true);
+ }
+ }
+
+ public static ArrayList<OutlineShape> getOutlineShapes(TypecastFont font, CharSequence string, float pixelSize, AffineTransform transform, Factory<? extends Vertex> vertexFactory) {
+ Path2D[] paths = new Path2D[string.length()];
+ getPaths(font, string, pixelSize, transform, paths);
+
+ ArrayList<OutlineShape> shapes = new ArrayList<OutlineShape>();
+ final int numGlyps = paths.length;
+ for (int index=0;index<numGlyps;index++) {
+ if(paths[index] == null){
+ continue;
+ }
+ OutlineShape shape = new OutlineShape(vertexFactory);
+ shapes.add(shape);
+ PathIterator iterator = paths[index].iterator(transform);
+ if(null != iterator){
+ while(!iterator.isDone()){
+ float[] coords = new float[6];
+ int segmentType = iterator.currentSegment(coords);
+ addPathVertexToOutline(shape, vertexFactory, coords, segmentType);
+ iterator.next();
+ }
+ }
+ }
+ return shapes;
+ }
+ private static void addPathVertexToOutline(OutlineShape shape, Factory<? extends Vertex> vertexFactory, float[] coords, int segmentType){
+ switch(segmentType) {
+ case PathIterator.SEG_MOVETO:
+ shape.closeLastOutline();
+ shape.addEmptyOutline();
+ shape.addVertex(0, vertexFactory.create(coords, 0, 2, true));
+ break;
+ case PathIterator.SEG_LINETO:
+ shape.addVertex(0, vertexFactory.create(coords, 0, 2, true));
+ break;
+ case PathIterator.SEG_QUADTO:
+ shape.addVertex(0, vertexFactory.create(coords, 0, 2, false));
+ shape.addVertex(0, vertexFactory.create(coords, 2, 2, true));
+ break;
+ case PathIterator.SEG_CUBICTO:
+ shape.addVertex(0, vertexFactory.create(coords, 0, 2, false));
+ shape.addVertex(0, vertexFactory.create(coords, 2, 2, false));
+ shape.addVertex(0, vertexFactory.create(coords, 4, 2, true));
+ break;
+ case PathIterator.SEG_CLOSE:
+ shape.closeLastOutline();
+ break;
+ default:
+ throw new IllegalArgumentException("Unhandled Segment Type: "+segmentType);
+ }
+ }
+
+ /**
+ * Build a {@link com.jogamp.graph.geom.Path2D Path2D} from a
+ * {@link jogamp.graph.font.typecast.ot.OTGlyph Glyph}. This glyph path can then
+ * be transformed and rendered.
+ */
+ public static Path2D buildPath(OTGlyph glyph) {
+
+ if (glyph == null) {
+ return null;
+ }
+
+ Path2D glyphPath = new Path2D();
+
+ // Iterate through all of the points in the glyph. Each time we find a
+ // contour end point, add the point range to the path.
+ int firstIndex = 0;
+ int count = 0;
+ for (int i = 0; i < glyph.getPointCount(); i++) {
+ count++;
+ if (glyph.getPoint(i).endOfContour) {
+ addContourToPath(glyphPath, glyph, firstIndex, count);
+ firstIndex = i + 1;
+ count = 0;
+ }
+ }
+ return glyphPath;
+ }
+
+ private static void addContourToPath(Path2D gp, OTGlyph glyph, int startIndex, int count) {
+ int offset = 0;
+ while (offset < count) {
+ Point point = glyph.getPoint(startIndex + offset%count);
+ Point point_plus1 = glyph.getPoint(startIndex + (offset+1)%count);
+ Point point_plus2 = glyph.getPoint(startIndex + (offset+2)%count);
+ if(offset == 0)
+ {
+ gp.moveTo(point.x, point.y);
+ }
+
+ if (point.onCurve) {
+ if (point_plus1.onCurve) {
+ // s = new Line2D.Float(point.x, point.y, point_plus1.x, point_plus1.y);
+ gp.lineTo( point_plus1.x, point_plus1.y );
+ offset++;
+ } else {
+ if (point_plus2.onCurve) {
+ // s = new QuadCurve2D.Float( point.x, point.y, point_plus1.x, point_plus1.y, point_plus2.x, point_plus2.y);
+ gp.quadTo(point_plus1.x, point_plus1.y, point_plus2.x, point_plus2.y);
+ offset+=2;
+ } else {
+ // s = new QuadCurve2D.Float(point.x,point.y,point_plus1.x,point_plus1.y,
+ // midValue(point_plus1.x, point_plus2.x), midValue(point_plus1.y, point_plus2.y));
+ gp.quadTo(point_plus1.x, point_plus1.y, midValue(point_plus1.x, point_plus2.x), midValue(point_plus1.y, point_plus2.y));
+ offset+=2;
+ }
+ }
+ } else {
+ if (point_plus1.onCurve) {
+ // s = new QuadCurve2D.Float(midValue(point_minus1.x, point.x), midValue(point_minus1.y, point.y),
+ // point.x, point.y, point_plus1.x, point_plus1.y);
+ //gp.curve3(point_plus1.x, point_plus1.y, point.x, point.y);
+ gp.quadTo(point.x, point.y, point_plus1.x, point_plus1.y);
+ offset++;
+
+ } else {
+ // s = new QuadCurve2D.Float(midValue(point_minus1.x, point.x), midValue(point_minus1.y, point.y), point.x, point.y,
+ // midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y));
+ //gp.curve3(midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y), point.x, point.y);
+ gp.quadTo(point.x, point.y, midValue(point.x, point_plus1.x), midValue(point.y, point_plus1.y));
+ offset++;
+ }
+ }
+ }
+ }
+
+ private static int midValue(int a, int b) {
+ return a + (b - a)/2;
+ }
+}