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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 Leszek Koltunski leszek@koltunski.pl //
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// //
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// This file is part of Distorted. //
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// //
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// This library is free software; you can redistribute it and/or //
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// modify it under the terms of the GNU Lesser General Public //
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// License as published by the Free Software Foundation; either //
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// version 2.1 of the License, or (at your option) any later version. //
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// //
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// This library is distributed in the hope that it will be useful, //
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// but WITHOUT ANY WARRANTY; without even the implied warranty of //
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU //
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// Lesser General Public License for more details. //
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// //
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// You should have received a copy of the GNU Lesser General Public //
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// License along with this library; if not, write to the Free Software //
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// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.library.mesh;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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import org.distorted.library.main.DistortedLibrary;
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/**
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* Create a polygon of any shape and varying elevations from the edges towards the center.
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* <p>
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* Specify a list of vertices. Any two adjacent vertices + the center (0,0,0) form a triangle. The
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* polygon is going to be split into such triangles, and each triangle is split into adjustable number
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* of 'bands' form the outer edge towards the center. Edges of each band can can at any elevation.
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*/
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public class MeshPolygon extends MeshBase
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{
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private static final int NUM_CACHE = 20;
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private static final int SHAPE_DD = 0;
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private static final int SHAPE_DU = 1;
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private static final int SHAPE_UD = 2;
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private static final int SHAPE_UU = 3;
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private static final int SHAPE_DUD= 4;
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private float[] mPolygonVertices;
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private int mNumPolygonVertices;
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private float[] mPolygonBands;
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private int mNumPolygonBands;
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private boolean[] mEdgeUp;
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private boolean[] mVertUp;
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private int remainingVert;
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private int numVertices;
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private int extraIndex, extraVertices;
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private float[] mCurveCache;
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private float[] mEdgeQuots;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// polygonVertices>=3 , polygonBands>=2
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private void computeNumberOfVertices()
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{
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if( mNumPolygonBands==2 && extraIndex>0 )
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{
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numVertices = 1 + 2*mNumPolygonVertices*(1+extraIndex+2*extraVertices);
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}
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else
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{
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numVertices = (mNumPolygonVertices*mNumPolygonBands+2)*(mNumPolygonBands-1) - 1;
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numVertices+= 2*mNumPolygonVertices*(2*extraIndex*extraVertices);
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}
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remainingVert = numVertices;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computeCache()
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{
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mCurveCache = new float[NUM_CACHE];
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float[] tmpD = new float[mNumPolygonBands+1];
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float[] tmpX = new float[mNumPolygonBands+1];
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for(int i=1; i<mNumPolygonBands; i++)
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{
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tmpD[i] = (mPolygonBands[2*i-1]-mPolygonBands[2*i+1]) / (mPolygonBands[2*i]-mPolygonBands[2*i-2]);
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tmpX[i] = 1.0f - (mPolygonBands[2*i]+mPolygonBands[2*i-2])/2;
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}
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tmpD[0] = tmpD[1];
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tmpD[mNumPolygonBands] = tmpD[mNumPolygonBands-1];
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tmpX[0] = 0.0f;
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tmpX[mNumPolygonBands] = 1.0f;
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int prev = 0;
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int next = 0;
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for(int i=0; i<NUM_CACHE-1; i++)
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{
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float x = i/(NUM_CACHE-1.0f);
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if( x>=tmpX[next] )
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{
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prev = next;
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while( next<=mNumPolygonBands && x>=tmpX[next] ) next++;
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}
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if( next>prev )
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{
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float t = (x-tmpX[prev]) / (tmpX[next]-tmpX[prev]);
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mCurveCache[i] = t*(tmpD[next]-tmpD[prev]) + tmpD[prev];
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}
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else
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{
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mCurveCache[i] = tmpD[next];
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}
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}
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mCurveCache[NUM_CACHE-1] = tmpD[mNumPolygonBands];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void computeQuots()
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{
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mEdgeQuots = new float[mNumPolygonVertices];
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for(int i=0; i<mNumPolygonVertices; i++)
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{
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int n = (i==mNumPolygonVertices-1 ? 0:i+1);
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float x1 = mPolygonVertices[2*i];
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float y1 = mPolygonVertices[2*i+1];
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float x2 = mPolygonVertices[2*n];
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float y2 = mPolygonVertices[2*n+1];
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float A = x1-x2;
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float B = y1-y2;
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float C = A*A+B*B;
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float x = (B*B*x1-A*B*y1)/C;
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float y = (A*A*y1-A*B*x1)/C;
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float dx = x1-x;
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float dy = y1-y;
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mEdgeQuots[i] = (float)Math.sqrt((dx*dx+dy*dy)/C);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float getSpecialQuot(int index)
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{
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int num = 1 + extraIndex + 2*extraVertices;
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int change1 = extraVertices+1;
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int change2 = num-change1;
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float quot = 1.0f/(extraIndex+1);
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if( index<change1 ) return index*quot/change1;
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else if( index>change2 ) return 1-quot + (index-change2)*quot/change1;
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else return (index-change1+1)*quot;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float getQuot(int index, int band, boolean isExtra)
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{
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int num = mNumPolygonBands-1-band;
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if( num>0 )
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{
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if( isExtra )
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{
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int extra = extraIndex-band+extraVertices;
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if( index < extra )
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{
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float quot = ((float)extraIndex-band)/(extra*num);
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return index*quot;
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}
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else if( index > num+2*extraVertices-extra )
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{
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float quot = ((float)extraIndex-band)/(extra*num);
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return (1.0f-((float)extraIndex-band)/num) + (index-num-2*extraVertices+extra)*quot;
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}
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else
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{
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return ((float)(index-extraVertices))/num;
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}
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}
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return (float)index/num;
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}
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return 1.0f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float computeZEdge(float quot)
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{
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if( quot>=1.0f ) return 0.0f;
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for(int band=1; band<mNumPolygonBands; band++)
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{
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float curr = mPolygonBands[2*band];
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if( curr<=quot )
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{
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float prev = mPolygonBands[2*band-2];
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float prevH= mPolygonBands[2*band-1];
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float currH= mPolygonBands[2*band+1];
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float A = (prev-quot)/(prev-curr);
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return A*currH + (1-A)*prevH;
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}
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}
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return 0.0f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float derivative(float x)
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{
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if( x>=1.0f )
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{
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return mCurveCache[NUM_CACHE-1];
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}
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else
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{
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float tmp = x*(NUM_CACHE-1);
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int i1 = (int)tmp;
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int i2 = i1+1;
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return (tmp-i1)*(mCurveCache[i2]-mCurveCache[i1]) + mCurveCache[i1];
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void doNormals(float[] attribs1, int index, float quot, int edgeShape,
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float xEdge, float yEdge, float zEdge, int polyVertex, int polyBand)
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{
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if( ( quot<=0.5f && (edgeShape==SHAPE_UD || edgeShape==SHAPE_UU) ) ||
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( quot> 0.5f && (edgeShape==SHAPE_DU || edgeShape==SHAPE_UU) ) )
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{
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attribs1[index ] = 0;
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attribs1[index+1] = 0;
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attribs1[index+2] = 1;
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}
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else
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{
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float d,x = 1-mPolygonBands[2*polyBand];
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if( quot==0.0f || quot==1.0f || edgeShape==SHAPE_DD )
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{
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float t = mPolygonBands[2*mNumPolygonBands-1];
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d = ((t-zEdge)/t)*derivative(x);
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}
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else
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{
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float q = quot + x*(mEdgeQuots[polyVertex]-quot);
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d = (q<0.5f ? derivative(2*q) : -derivative(2-2*q));
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int nextVertex = polyVertex==mNumPolygonVertices-1 ? 0:polyVertex+1;
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xEdge = mPolygonVertices[2*polyVertex ] - mPolygonVertices[2*nextVertex ];
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yEdge = mPolygonVertices[2*polyVertex+1] - mPolygonVertices[2*nextVertex+1];
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//android.util.Log.e("D", "normals: edgeQuot="+mEdgeQuots[polyVertex]+" vertex="+polyVertex+" d="+d+" xEdge="+xEdge+" yEdge="+yEdge+" q="+q+" quot="+quot);
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}
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float vx = d*xEdge;
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float vy = d*yEdge;
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float vz = xEdge*xEdge + yEdge*yEdge;
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float len = (float)Math.sqrt(vx*vx + vy*vy + vz*vz);
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attribs1[index ] = vx/len;
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attribs1[index+1] = vy/len;
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attribs1[index+2] = vz/len;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int addVertex(int vertex, int polyBand, int polyVertex, int polyEndVer, float quot,
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int edgeShape, float[] attribs1, float[] attribs2)
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{
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remainingVert--;
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float Xfirst= mPolygonVertices[2*polyVertex ];
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float Yfirst= mPolygonVertices[2*polyVertex+1];
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float Xlast = mPolygonVertices[2*polyEndVer ];
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float Ylast = mPolygonVertices[2*polyEndVer+1];
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float xEdge = Xfirst + quot*(Xlast-Xfirst);
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float yEdge = Yfirst + quot*(Ylast-Yfirst);
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float zEdge;
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float q = mPolygonBands[2*polyBand];
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float o = mPolygonBands[2*polyBand+1];
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float t = mPolygonBands[2*mNumPolygonBands-1];
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switch(edgeShape)
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{
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case SHAPE_DD : zEdge = 0.0f; break;
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case SHAPE_UU : zEdge = t; break;
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case SHAPE_DU : zEdge = quot>=0.5f ? t : computeZEdge(1-2*quot); break;
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case SHAPE_UD : zEdge = quot<=0.5f ? t : computeZEdge(2*quot-1); break;
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default : zEdge = quot<=0.5f ? computeZEdge(1-2*quot) : computeZEdge(2*quot-1); break;
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}
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float x = q*xEdge;
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float y = q*yEdge;
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float z = o + (t-o)*(zEdge/t);
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attribs1[VERT1_ATTRIBS*vertex + POS_ATTRIB ] = x;
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attribs1[VERT1_ATTRIBS*vertex + POS_ATTRIB+1] = y;
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attribs1[VERT1_ATTRIBS*vertex + POS_ATTRIB+2] = z;
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int index = VERT1_ATTRIBS*vertex + NOR_ATTRIB;
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doNormals(attribs1,index, quot, edgeShape, xEdge, yEdge, zEdge, polyVertex, polyBand);
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attribs2[VERT2_ATTRIBS*vertex + TEX_ATTRIB ] = x+0.5f;
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attribs2[VERT2_ATTRIBS*vertex + TEX_ATTRIB+1] = y+0.5f;
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return vertex+1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int createBandStrip(int vertex, int polyBand, int polyVertex, int edgeShape, float[] attribs1, float[] attribs2)
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{
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if( polyVertex==0 )
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{
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vertex = addVertex(vertex,polyBand,0,1,0,edgeShape,attribs1,attribs2);
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if( polyBand>0 ) vertex = addVertex(vertex,polyBand,0,1,0,edgeShape,attribs1,attribs2);
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}
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boolean specialCase = mNumPolygonBands==2 && polyBand==0 && extraIndex>0;
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boolean isExtra = polyBand<extraIndex;
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int numPairs = specialCase ? extraIndex+1 : mNumPolygonBands-1-polyBand;
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if( isExtra ) numPairs += 2*extraVertices;
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int polyEndVer = polyVertex==mNumPolygonVertices-1 ? 0 : polyVertex+1;
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float quot1, quot2;
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for(int index=0; index<numPairs; index++)
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{
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if( specialCase )
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{
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quot1 = 1.0f;
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quot2 = getSpecialQuot(index+1);
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}
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else
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{
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quot1 = getQuot(index ,polyBand+1, isExtra);
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quot2 = getQuot(index+1,polyBand , isExtra);
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}
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vertex = addVertex(vertex,polyBand+1,polyVertex,polyEndVer,quot1,edgeShape,attribs1,attribs2);
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vertex = addVertex(vertex,polyBand ,polyVertex,polyEndVer,quot2,edgeShape,attribs1,attribs2);
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}
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return vertex;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computeEdgeShape(int curr)
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{
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if( mEdgeUp==null || !mEdgeUp[curr] ) return SHAPE_DD;
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int prev = (curr==0 ? mNumPolygonVertices-1 : curr-1);
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int next = (curr==mNumPolygonVertices-1 ? 0 : curr+1);
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boolean rd = ( !mEdgeUp[next] || mVertUp==null || !mVertUp[next] );
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boolean ld = ( !mEdgeUp[prev] || mVertUp==null || !mVertUp[curr] );
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return rd ? (ld ? SHAPE_DUD : SHAPE_UD) : (ld ? SHAPE_DU : SHAPE_UU);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void buildGrid(float[] attribs1, float[] attribs2)
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{
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int vertex=0;
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int[] edgeShape = new int[mNumPolygonVertices];
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for(int polyVertex=0; polyVertex<mNumPolygonVertices; polyVertex++)
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edgeShape[polyVertex] = computeEdgeShape(polyVertex);
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for(int polyBand=0; polyBand<mNumPolygonBands-1; polyBand++)
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for(int polyVertex=0; polyVertex<mNumPolygonVertices; polyVertex++)
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{
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// android.util.Log.e("D", "creating strip polyBand="+polyBand+" polyVertex="+polyVertex+" : "+vertex);
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vertex = createBandStrip(vertex,polyBand,polyVertex,edgeShape[polyVertex],attribs1,attribs2);
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// android.util.Log.e("D", " "+vertex);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/**
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* Create a polygon of any shape and varying elevations from the edges towards the center.
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* Optionally make it more dense at the vertices.
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*
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* @param verticesXY 2N floats - packed description of polygon vertices. N pairs (x,y).
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* Vertices HAVE TO be specified in a COUNTERCLOCKWISE order (starting from any).
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* @param bands 2K floats; K pairs of two floats each describing a single band.
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* From (1.0,Z[0]) (outer edge, its Z elevation) to (0.0,Z[K]) (the center,
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* its elevation). The polygon is split into such concentric bands.
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413
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* Must be band[2*i] > band[2*(i+1)] !
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414
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* @param edgeUp N booleans - one for each edge; the first connects vertices (0,1) and (2,3);
|
415
|
* then just like 'verticesXY', i.e. counterclockwise.
|
416
|
* If this is null, all edges are by default 'down'.
|
417
|
* 'Down' means that edge's Z is equal to 0; 'up' means that its Z, at least in its
|
418
|
* middle, is equal to the highest elevation in the middle of the mesh.
|
419
|
* If the 'previous' edge is also up, then the Z is up horizontally from its middle
|
420
|
* to the left vertex; else it goes down along the same function it goes along the bands.
|
421
|
* Same with the right half of the edge.
|
422
|
* @param vertUp N booleans - one for each vertex. The first is about vertex 0, then vertex 1, etc.
|
423
|
* If this is null or false, the vertex is down; otheerwise - it is 'up'.
|
424
|
* This is taken into account only in one case: if both edges the vertex is the end of
|
425
|
* are 'up', then the vertex can be 'up' or 'down'; otherwise - if at least one of
|
426
|
* those edges is 'down' - then the vertex must be 'down' as well and this is ignored.
|
427
|
* @param exIndex This and the next parameter describe how to make the mesh denser at the
|
428
|
* polyVertices. If e.g. exIndex=3 and exVertices=2, then 3 triangles of the
|
429
|
* outermost band (and 2 triangles of the next band, and 1 triangle of the third
|
430
|
* band) get denser - the 3 triangles become 3+2 = 5.
|
431
|
* @param exVertices See above.
|
432
|
* @param centerX the X coordinate of the 'center' of the Polygon, i.e. point of the mesh
|
433
|
* all bands go to.
|
434
|
* @param centerY Y coordinate of the center.
|
435
|
*/
|
436
|
public MeshPolygon(float[] verticesXY, float[] bands, boolean[] edgeUp, boolean[] vertUp, int exIndex, int exVertices, float centerX, float centerY)
|
437
|
{
|
438
|
super();
|
439
|
|
440
|
mPolygonVertices = verticesXY;
|
441
|
mPolygonBands = bands;
|
442
|
mNumPolygonVertices= mPolygonVertices.length /2;
|
443
|
mNumPolygonBands = mPolygonBands.length /2;
|
444
|
mEdgeUp = edgeUp;
|
445
|
mVertUp = vertUp;
|
446
|
extraIndex = exIndex;
|
447
|
extraVertices = exVertices;
|
448
|
|
449
|
if( centerX!=0.0f || centerY!=0.0f )
|
450
|
{
|
451
|
for(int v=0; v<mNumPolygonVertices; v++)
|
452
|
{
|
453
|
mPolygonVertices[2*v ] -= centerX;
|
454
|
mPolygonVertices[2*v+1] -= centerY;
|
455
|
}
|
456
|
}
|
457
|
|
458
|
computeNumberOfVertices();
|
459
|
computeCache();
|
460
|
computeQuots();
|
461
|
|
462
|
float[] attribs1= new float[VERT1_ATTRIBS*numVertices];
|
463
|
float[] attribs2= new float[VERT2_ATTRIBS*numVertices];
|
464
|
|
465
|
buildGrid(attribs1,attribs2);
|
466
|
|
467
|
if( remainingVert!=0 )
|
468
|
DistortedLibrary.logMessage("MeshPolygon: remainingVert " +remainingVert );
|
469
|
|
470
|
if( centerX!=0.0f || centerY!=0.0f )
|
471
|
{
|
472
|
for(int v=0; v<numVertices; v++)
|
473
|
{
|
474
|
attribs1[VERT1_ATTRIBS*v + POS_ATTRIB ] += centerX;
|
475
|
attribs1[VERT1_ATTRIBS*v + POS_ATTRIB+1] += centerY;
|
476
|
attribs2[VERT2_ATTRIBS*v + TEX_ATTRIB ] += centerX;
|
477
|
attribs2[VERT2_ATTRIBS*v + TEX_ATTRIB+1] += centerY;
|
478
|
}
|
479
|
}
|
480
|
|
481
|
setAttribs(attribs1,attribs2);
|
482
|
}
|
483
|
|
484
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
485
|
|
486
|
public MeshPolygon(float[] verticesXY, float[] bands, int exIndex, int exVertices)
|
487
|
{
|
488
|
this(verticesXY,bands,null,null,exIndex,exVertices,0.0f,0.0f);
|
489
|
}
|
490
|
|
491
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
492
|
/**
|
493
|
* Create a polygon of any shape and varying elevations from the edges towards the center.
|
494
|
* Equivalent of the previous with exIndex=0 or exVertices=0.
|
495
|
*/
|
496
|
public MeshPolygon(float[] verticesXY, float[] bands)
|
497
|
{
|
498
|
this(verticesXY,bands,null,null,0,0,0.0f,0.0f);
|
499
|
}
|
500
|
|
501
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
502
|
/**
|
503
|
* Copy constructor.
|
504
|
*/
|
505
|
public MeshPolygon(MeshPolygon mesh, boolean deep)
|
506
|
{
|
507
|
super(mesh,deep);
|
508
|
}
|
509
|
|
510
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
511
|
/**
|
512
|
* Copy the Mesh.
|
513
|
*
|
514
|
* @param deep If to be a deep or shallow copy of mVertAttribs1, i.e. the array holding vertices,
|
515
|
* normals and inflates (the rest, in particular the mVertAttribs2 containing texture
|
516
|
* coordinates and effect associations, is always deep copied)
|
517
|
*/
|
518
|
public MeshPolygon copy(boolean deep)
|
519
|
{
|
520
|
return new MeshPolygon(this,deep);
|
521
|
}
|
522
|
}
|