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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2023 Leszek Koltunski //
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// //
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// This file is part of Magic Cube. //
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// //
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// Magic Cube is proprietary software licensed under an EULA which you should have received //
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// along with the code. If not, check https://distorted.org/magic/License-Magic-Cube.html //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objectlib.bandaged;
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import static org.distorted.objectlib.bandaged.BandagedObjectMegaminx.COS18;
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import static org.distorted.objectlib.bandaged.BandagedObjectMegaminx.MEGA_D;
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import static org.distorted.objectlib.bandaged.BandagedObjectMegaminx.SIN18;
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import static org.distorted.objectlib.main.TwistyObject.SQ5;
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import static org.distorted.objectlib.objects.TwistyDodecahedron.COS_HALFD;
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import static org.distorted.objectlib.objects.TwistyDodecahedron.SIN_HALFD;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.C2;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.COS54;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.LEN;
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import static org.distorted.objectlib.touchcontrol.TouchControlDodecahedron.SIN54;
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import org.distorted.library.helpers.QuatHelper;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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import org.distorted.objectlib.helpers.QuatGroupGenerator;
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import org.distorted.objectlib.objects.TwistyDodecahedron;
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import org.distorted.objectlib.touchcontrol.TouchControlDodecahedron;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class FactoryBandagedMegaminx extends FactoryBandaged
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{
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private static final int MAX_SUPPORTED_SIZE = 5;
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private static final int NUM_CORNERS = 20;
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private static final int NUM_CENTERS = 12;
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private static final int NUM_EDGES = 30;
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private static FactoryBandagedMegaminx mThis;
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private static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( C2/LEN, SIN54/LEN, 0 ),
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new Static3D( -C2/LEN, SIN54/LEN, 0 ),
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new Static3D( 0 , C2/LEN, SIN54/LEN ),
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new Static3D( 0 , -C2/LEN, SIN54/LEN ),
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new Static3D( SIN54/LEN, 0 , C2/LEN ),
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new Static3D( SIN54/LEN, 0 , -C2/LEN )
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};
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private int[][] mEdgeMap, mCenterMap;
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private float[][] mCorners;
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private float[][][] mVertices;
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private int[][][] mIndices;
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private Static4D[] mObjectQuats, mBasicCornerV, mCurrCornerV;
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private int[] mQuatEdgeIndices,mQuatCornerIndices,mQuatCenterIndices;
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private float[][] mCenterCoords;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private FactoryBandagedMegaminx()
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{
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public static FactoryBandagedMegaminx getInstance()
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{
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if( mThis==null ) mThis = new FactoryBandagedMegaminx();
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return mThis;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retCornerKilominx(int numL)
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{
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float width = 1;//(1+0.5f*(numL-3)*SIN18)*numL/(numL-1);
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float X = width*COS18*SIN_HALFD;
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float Y = width*SIN18;
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float Z = width*COS18*COS_HALFD;
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float H = width*(SIN54/COS54);
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float H3 = H/COS_HALFD;
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float X3 = H*SIN_HALFD;
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float Z3 = H*COS_HALFD;
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float C = 1/(COS54*(float) Math.sqrt(2-2*SIN18));
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return new float[][]
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{
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{ 0, 0, 0 },
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{ X, Y, -Z },
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{ 0, C*2*Y, -2*C*Z },
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{ -X, Y, -Z },
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{ 0, -width, 0 },
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{ X3, -width, -Z3 },
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{ 0, -width, -H3 },
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{-X3, -width, -Z3 }
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retEdgeKilominx(int numL, int variant)
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{
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int type = variant-1;
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float tmpVal= numL/(numL-1.0f);
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float height= tmpVal*COS18;
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float width = tmpVal + (type/2)*tmpVal*SIN18;
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boolean left = (type%2)==0;
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float X = height*SIN_HALFD;
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float Y = height*SIN18/COS18;
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float Z = height*COS_HALFD;
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float[][] vertices =
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{
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{ 0, 0 , 0 },
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{ X, Y , -Z },
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{ 0, 2*Y ,-2*Z },
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{ -X, Y , -Z },
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{ 0, -width, 0 },
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{ X, -width, -Z },
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{ 0, -width,-2*Z },
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{ -X, -width, -Z },
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};
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if( !left )
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{
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int len = vertices.length;
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for(int i=0; i<len; i++) vertices[i][1] = -vertices[i][1];
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}
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return vertices;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retCenterKilominx(int numL)
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{
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float width = (1+0.5f*(numL-3)*SIN18)*numL/(numL-1);
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float X = width*COS18*SIN_HALFD;
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float Y = width*SIN18;
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float Z = width*COS18*COS_HALFD;
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float H = width*(SIN54/COS54);
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float H3= H/COS_HALFD;
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float X3= H*SIN_HALFD;
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float Z3= H*COS_HALFD;
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float C = 1/(COS54*(float)Math.sqrt(2-2*SIN18));
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return new float[][]
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{
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{ 0, 0 , 0 },
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{ X, Y , -Z },
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{ 0,C*2*Y ,-2*C*Z },
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{ -X, Y , -Z },
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{ 0,-width, 0 },
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{ X3,-width, -Z3 },
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{ 0,-width, -H3 },
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{ -X3,-width, -Z3 }
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retCornerMegaminx(int numL)
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{
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float width = numL*(0.5f-MEGA_D)/(0.5f*(numL-1));
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float X = width*COS18*SIN_HALFD;
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float Y = width*SIN18;
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float Z = width*COS18*COS_HALFD;
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return new float[][]
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{
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{ 0, 0 , 0 },
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{ X, Y , -Z },
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{ 0, 2*Y ,-2*Z },
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{ -X, Y , -Z },
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{ 0, 0-width, 0 },
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{ X, Y-width, -Z },
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{ 0, 2*Y-width,-2*Z },
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{ -X, Y-width, -Z },
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retEdgeMegaminx(int numL, int variant)
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{
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int type = variant-1;
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float height= numL*(0.5f-MEGA_D)*COS18/((numL-1)*0.5f);
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float width = numL*2*MEGA_D + 2*type*height*SIN18/COS18;
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float W = width/2;
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float X = height*SIN_HALFD;
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float Y = height*SIN18/COS18;
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float Z = height*COS_HALFD;
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return new float[][]
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{
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{ 0, W , 0 },
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{ X, W+Y , -Z },
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{ 0, W+2*Y ,-2*Z },
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{ -X, W+Y , -Z },
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{ 0, -W , 0 },
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{ X,-W-Y , -Z },
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{ 0,-W-2*Y ,-2*Z },
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{ -X,-W-Y , -Z },
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] retCenterMegaminx(int numL)
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{
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float width = 2*numL*(MEGA_D+(0.5f-MEGA_D)*SIN18);
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final double ANGLE = 0.825f*Math.PI;
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final float cosA = (float)Math.cos(ANGLE);
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final float sinA = (float)Math.sin(ANGLE);
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float R = 0.5f*width/COS54;
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float X1 = R*COS54;
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float Y1 = R*SIN54;
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float X2 = R*COS18;
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float Y2 = R*SIN18;
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return new float[][]
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{
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{-X1, Y1*sinA, Y1*cosA},
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{-X2,-Y2*sinA,-Y2*cosA},
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{ 0 ,-R*sinA ,-R*cosA },
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{+X2,-Y2*sinA,-Y2*cosA},
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{+X1, Y1*sinA, Y1*cosA},
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{ 0 , R*cosA ,-R*sinA }
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] verticesKilominx(int variant)
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{
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if( mVertices[0]==null ) mVertices[0] = retCornerKilominx(3);
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return mVertices[0];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] verticesMegaminx(int variant)
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{
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switch(variant)
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{
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case 0: if( mVertices[1]==null ) mVertices[1] = retCornerMegaminx(3);
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break;
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case 1: if( mVertices[2]==null ) mVertices[2] = retEdgeMegaminx(3,variant);
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break;
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case 2: if( mVertices[3]==null ) mVertices[3] = retCenterMegaminx(3);
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break;
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}
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return mVertices[variant+1];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] verticesMasterKilominx(int variant)
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{
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switch(variant)
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{
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case 0: if( mVertices[4]==null ) mVertices[4] = retCornerMegaminx(5);
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break;
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case 1: if( mVertices[5]==null ) mVertices[5] = retEdgeKilominx(5,variant);
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break;
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case 2: if( mVertices[6]==null ) mVertices[6] = retEdgeKilominx(5,variant);
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break;
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case 3: if( mVertices[7]==null ) mVertices[7] = retCenterKilominx(5);
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break;
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}
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return mVertices[variant+1+3];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[][] verticesGigaminx(int variant)
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{
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switch(variant)
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{
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case 0: if( mVertices[ 8]==null ) mVertices[ 8] = retCornerMegaminx(5);
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break;
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case 1: if( mVertices[ 9]==null ) mVertices[ 9] = retEdgeMegaminx(5,variant);
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break;
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case 2: if( mVertices[10]==null ) mVertices[10] = retEdgeMegaminx(5,variant);
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break;
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case 3: if( mVertices[11]==null ) mVertices[11] = retCenterMegaminx(5);
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break;
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}
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return mVertices[variant+1+3+4];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public float[][] getVertices(int[] numLayers, int variant)
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{
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if( mVertices==null ) mVertices = new float[1+3+4+4][][];
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switch( numLayers[0] )
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{
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case 2: return verticesKilominx(variant);
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case 3: return verticesMegaminx(variant);
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case 4: return verticesMasterKilominx(variant);
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case 5: return verticesGigaminx(variant);
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}
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[][] cornerIndices()
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{
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return new int[][]
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{
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{4,5,1,0},
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{7,4,0,3},
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{0,1,2,3},
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{7,6,5,4},
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{2,1,5,6},
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{3,2,6,7}
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[][] centerIndices()
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{
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return new int[][]
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{
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{0,1,2,3,4},
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{5,1,0},
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{5,2,1},
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{5,3,2},
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{5,4,3},
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{5,0,4}
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};
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[][] indicesKilominx(int variant)
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{
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if( mIndices[0]==null ) mIndices[0] = cornerIndices();
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return mIndices[0];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int[][] indicesMegaminx(int variant)
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{
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switch( variant )
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{
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case 0: if( mIndices[1]==null ) mIndices[1] = cornerIndices(); break;
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case 1: if( mIndices[2]==null ) mIndices[2] = cornerIndices(); break;
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case 2: if( mIndices[3]==null ) mIndices[3] = centerIndices(); break;
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}
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return mIndices[variant+1];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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372
|
private int[][] indicesMasterKilominx(int variant)
|
|
373
|
{
|
|
374
|
switch( variant )
|
|
375
|
{
|
|
376
|
case 0: if( mIndices[4]==null ) mIndices[4] = cornerIndices(); break;
|
|
377
|
case 1: if( mIndices[5]==null )
|
|
378
|
{
|
|
379
|
mIndices[5] = cornerIndices();
|
|
380
|
|
|
381
|
int[][] indices = mIndices[5];
|
|
382
|
int tmp, len = indices.length;
|
|
383
|
|
|
384
|
for(int i=0; i<len; i++)
|
|
385
|
{
|
|
386
|
tmp = indices[i][0];
|
|
387
|
indices[i][0] = indices[i][3];
|
|
388
|
indices[i][3] = tmp;
|
|
389
|
tmp = indices[i][1];
|
|
390
|
indices[i][1] = indices[i][2];
|
|
391
|
indices[i][2] = tmp;
|
|
392
|
}
|
|
393
|
}
|
|
394
|
break;
|
|
395
|
case 2: if( mIndices[6]==null ) mIndices[6] = cornerIndices(); break;
|
|
396
|
case 3: if( mIndices[7]==null ) mIndices[7] = cornerIndices(); break;
|
|
397
|
}
|
|
398
|
|
|
399
|
return mIndices[variant+1+3];
|
|
400
|
}
|
|
401
|
|
|
402
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
403
|
|
|
404
|
private int[][] indicesGigaminx(int variant)
|
|
405
|
{
|
|
406
|
switch( variant )
|
|
407
|
{
|
|
408
|
case 0: if( mIndices[ 8]==null ) mIndices[ 8] = cornerIndices(); break;
|
|
409
|
case 1: if( mIndices[ 9]==null ) mIndices[ 9] = cornerIndices(); break;
|
|
410
|
case 2: if( mIndices[10]==null ) mIndices[10] = cornerIndices(); break;
|
|
411
|
case 3: if( mIndices[11]==null ) mIndices[11] = centerIndices(); break;
|
|
412
|
}
|
|
413
|
|
|
414
|
return mIndices[variant+1+3+4];
|
|
415
|
}
|
|
416
|
|
|
417
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
418
|
|
|
419
|
public int[][] getIndices(int[] numLayers, int variant)
|
|
420
|
{
|
|
421
|
if( mIndices==null ) mIndices = new int[1+3+4+4][][];
|
|
422
|
|
|
423
|
switch( numLayers[0] )
|
|
424
|
{
|
|
425
|
case 2: return indicesKilominx(variant);
|
|
426
|
case 3: return indicesMegaminx(variant);
|
|
427
|
case 4: return indicesMasterKilominx(variant);
|
|
428
|
case 5: return indicesGigaminx(variant);
|
|
429
|
}
|
|
430
|
|
|
431
|
return null;
|
|
432
|
}
|
|
433
|
|
|
434
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
435
|
// return:
|
|
436
|
// 0: (x,y,z) does not belong to edge corner0->corner1
|
|
437
|
// 1: it belongs and is closer to corner0
|
|
438
|
// 2: it belongs and is closer to corner1
|
|
439
|
|
|
440
|
private int belongsToEdge(float[] corner0, float[] corner1, float x, float y, float z)
|
|
441
|
{
|
|
442
|
float MAXERR = 0.01f;
|
|
443
|
|
|
444
|
float v0x = corner0[0] - x;
|
|
445
|
float v0y = corner0[1] - y;
|
|
446
|
float v0z = corner0[2] - z;
|
|
447
|
float v1x = corner1[0] - x;
|
|
448
|
float v1y = corner1[1] - y;
|
|
449
|
float v1z = corner1[2] - z;
|
|
450
|
|
|
451
|
float len0 = v0x*v0x + v0y*v0y + v0z*v0z;
|
|
452
|
float len1 = v1x*v1x + v1y*v1y + v1z*v1z;
|
|
453
|
|
|
454
|
if( v0x != 0 )
|
|
455
|
{
|
|
456
|
float A = v1x/v0x;
|
|
457
|
float errY = v1y - A*v0y;
|
|
458
|
float errZ = v1z - A*v0z;
|
|
459
|
if( errY>-MAXERR && errY<MAXERR && errZ>-MAXERR && errZ<MAXERR ) return len0<len1 ? 1:2;
|
|
460
|
else return 0;
|
|
461
|
}
|
|
462
|
else if( v0y != 0 )
|
|
463
|
{
|
|
464
|
float A = v1y/v0y;
|
|
465
|
float errX = v1x - A*v0x;
|
|
466
|
float errZ = v1z - A*v0z;
|
|
467
|
if( errX>-MAXERR && errX<MAXERR && errZ>-MAXERR && errZ<MAXERR ) return len0<len1 ? 1:2;
|
|
468
|
else return 0;
|
|
469
|
}
|
|
470
|
else if( v0z != 0 )
|
|
471
|
{
|
|
472
|
float A = v1z/v0z;
|
|
473
|
float errX = v1x - A*v0x;
|
|
474
|
float errY = v1y - A*v0y;
|
|
475
|
if( errX>-MAXERR && errX<MAXERR && errY>-MAXERR && errY<MAXERR ) return len0<len1 ? 1:2;
|
|
476
|
else return 0;
|
|
477
|
}
|
|
478
|
|
|
479
|
return 0;
|
|
480
|
}
|
|
481
|
|
|
482
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
483
|
|
|
484
|
public int getElementVariant(int[] numLayers, float x, float y, float z)
|
|
485
|
{
|
|
486
|
int size = numLayers[0];
|
|
487
|
|
|
488
|
float CENT_DIST_SQ = TouchControlDodecahedron.DIST3D;
|
|
489
|
float CORN_DIST_SQ = (18+6*SQ5)/16;
|
|
490
|
float EDGE_DIST_SQ = (14+6*SQ5)/16;
|
|
491
|
float EDHA_DIST_SQ = (15+6*SQ5)/16;
|
|
492
|
|
|
493
|
float d = x*x + y*y + z*z;
|
|
494
|
float MAXERR = 0.01f;
|
|
495
|
|
|
496
|
switch(size)
|
|
497
|
{
|
|
498
|
case 2: return 0;
|
|
499
|
case 3: float d3c = d/9 - CORN_DIST_SQ;
|
|
500
|
float d3e = d/9 - EDGE_DIST_SQ;
|
|
501
|
if( d3c<MAXERR && d3c>-MAXERR ) return 0;
|
|
502
|
if( d3e<MAXERR && d3e>-MAXERR ) return 1;
|
|
503
|
return 2;
|
|
504
|
case 4: if( mCorners==null ) mCorners = TwistyDodecahedron.initializeCorners();
|
|
505
|
if( mEdgeMap==null ) mEdgeMap = TwistyDodecahedron.initializeEdgeMap();
|
|
506
|
|
|
507
|
float d4c = d/25 - CORN_DIST_SQ;
|
|
508
|
float d4h = d/25 - EDHA_DIST_SQ;
|
|
509
|
if( d4c<MAXERR && d4c>-MAXERR ) return 0;
|
|
510
|
if( d4h<MAXERR && d4h>-MAXERR )
|
|
511
|
{
|
|
512
|
float xCorr = 3*x/5; // mCorners has the coords assuming edge length is 3
|
|
513
|
float yCorr = 3*y/5; // here we have edge length = 5 - so correct for that
|
|
514
|
float zCorr = 3*z/5;
|
|
515
|
|
|
516
|
for(int[] edge : mEdgeMap)
|
|
517
|
{
|
|
518
|
float[] c0 = mCorners[edge[0]];
|
|
519
|
float[] c1 = mCorners[edge[1]];
|
|
520
|
|
|
521
|
int loc = belongsToEdge(c0, c1, xCorr, yCorr, zCorr);
|
|
522
|
if( loc!=0 ) return loc;
|
|
523
|
}
|
|
524
|
|
|
525
|
return 1;
|
|
526
|
}
|
|
527
|
return 3;
|
|
528
|
case 5: float dist = d/25;
|
|
529
|
|
|
530
|
if( dist< CENT_DIST_SQ + MAXERR ) return 3;
|
|
531
|
if( dist< EDGE_DIST_SQ - MAXERR ) return 2;
|
|
532
|
if( dist< EDGE_DIST_SQ + MAXERR ) return 1;
|
|
533
|
return 0;
|
|
534
|
}
|
|
535
|
|
|
536
|
return 0;
|
|
537
|
}
|
|
538
|
|
|
539
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
540
|
|
|
541
|
private void createQuats()
|
|
542
|
{
|
|
543
|
final Static3D[] axis = new Static3D[]
|
|
544
|
{
|
|
545
|
new Static3D( C2/LEN, SIN54/LEN, 0 ),
|
|
546
|
new Static3D( -C2/LEN, SIN54/LEN, 0 ),
|
|
547
|
new Static3D( 0 , C2/LEN, SIN54/LEN ),
|
|
548
|
new Static3D( 0 , -C2/LEN, SIN54/LEN ),
|
|
549
|
new Static3D( SIN54/LEN, 0 , C2/LEN ),
|
|
550
|
new Static3D( SIN54/LEN, 0 , -C2/LEN )
|
|
551
|
};
|
|
552
|
|
|
553
|
int[] tmp = new int[] {5,5,5};
|
|
554
|
int[][] basicAngles = new int[][] { tmp,tmp,tmp,tmp,tmp,tmp };
|
|
555
|
|
|
556
|
mObjectQuats = QuatGroupGenerator.computeGroup(axis,basicAngles);
|
|
557
|
}
|
|
558
|
|
|
559
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
560
|
|
|
561
|
private void initializeQuatIndices()
|
|
562
|
{
|
|
563
|
mQuatEdgeIndices = new int[]
|
|
564
|
{
|
|
565
|
0, 17, 18, 19, 20, 56, 25, 5, 24, 16,
|
|
566
|
9, 44, 1, 34, 35, 27, 41, 50, 26, 54,
|
|
567
|
15, 49, 39, 28, 10, 2, 48, 6, 46, 3
|
|
568
|
};
|
|
569
|
mQuatCornerIndices = new int[]
|
|
570
|
{
|
|
571
|
0, 29, 59, 48, 18, 53, 22, 49, 11, 54,
|
|
572
|
10, 52, 17, 27, 19, 26, 9, 28, 23, 45
|
|
573
|
};
|
|
574
|
mQuatCenterIndices = new int[]
|
|
575
|
{
|
|
576
|
0, 35, 55, 38, 48, 41, 42, 58, 57, 46, 29, 59
|
|
577
|
};
|
|
578
|
}
|
|
579
|
|
|
580
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
581
|
// the five vertices that form a given face. Order: the same as colors of the faces in TwistyMinx.
|
|
582
|
|
|
583
|
void initializeCenterMap()
|
|
584
|
{
|
|
585
|
mCenterMap = new int[][]
|
|
586
|
{
|
|
587
|
{ 0, 12, 8, 10, 16},
|
|
588
|
{ 0, 12, 4, 14, 2},
|
|
589
|
{ 0, 2, 18, 6, 16},
|
|
590
|
{ 6, 18, 11, 19, 7},
|
|
591
|
{ 3, 15, 9, 11, 19},
|
|
592
|
{ 4, 5, 15, 9, 14},
|
|
593
|
{ 1, 13, 5, 15, 3},
|
|
594
|
{ 1, 3, 19, 7, 17},
|
|
595
|
{10, 16, 6, 7, 17},
|
|
596
|
{ 8, 13, 5, 4, 12},
|
|
597
|
{ 1, 13, 8, 10, 17},
|
|
598
|
{ 2, 14, 9, 11, 18},
|
|
599
|
};
|
|
600
|
}
|
|
601
|
|
|
602
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
603
|
|
|
604
|
private int getQuatMega(int element, int numCubitsPerCorner, int numCubitsPerEdge)
|
|
605
|
{
|
|
606
|
if( mQuatCornerIndices==null || mQuatEdgeIndices==null || mQuatCenterIndices==null)
|
|
607
|
initializeQuatIndices();
|
|
608
|
|
|
609
|
if( element < NUM_CORNERS*numCubitsPerCorner )
|
|
610
|
{
|
|
611
|
int corner = element/numCubitsPerCorner;
|
|
612
|
return mQuatCornerIndices[corner];
|
|
613
|
}
|
|
614
|
|
|
615
|
if( element < NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
|
616
|
{
|
|
617
|
int edge = (element-NUM_CORNERS*numCubitsPerCorner)%NUM_EDGES;
|
|
618
|
return mQuatEdgeIndices[edge];
|
|
619
|
}
|
|
620
|
|
|
621
|
int center = element - NUM_CORNERS*numCubitsPerCorner - NUM_EDGES*numCubitsPerEdge;
|
|
622
|
return mQuatCenterIndices[center];
|
|
623
|
}
|
|
624
|
|
|
625
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
626
|
|
|
627
|
private int getQuatKilo(int element, int numCubitsPerCorner, int numCubitsPerEdge)
|
|
628
|
{
|
|
629
|
if( mQuatCornerIndices==null || mQuatEdgeIndices==null ) initializeQuatIndices();
|
|
630
|
if( mCenterMap==null ) initializeCenterMap();
|
|
631
|
|
|
632
|
if( element < NUM_CORNERS*numCubitsPerCorner )
|
|
633
|
{
|
|
634
|
int corner = element/numCubitsPerCorner;
|
|
635
|
return mQuatCornerIndices[corner];
|
|
636
|
}
|
|
637
|
|
|
638
|
if( element < NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
|
639
|
{
|
|
640
|
int edge = (element-NUM_CORNERS*numCubitsPerCorner)%NUM_EDGES;
|
|
641
|
return mQuatEdgeIndices[edge];
|
|
642
|
}
|
|
643
|
|
|
644
|
if( numCubitsPerCorner==0 )
|
|
645
|
{
|
|
646
|
return mQuatCornerIndices[element];
|
|
647
|
}
|
|
648
|
else
|
|
649
|
{
|
|
650
|
element -= (NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge);
|
|
651
|
int numCubitsPerCenter = 5;
|
|
652
|
int face = element/numCubitsPerCenter;
|
|
653
|
int index= element%numCubitsPerCenter;
|
|
654
|
int center=mCenterMap[face][index];
|
|
655
|
return mQuatCornerIndices[center];
|
|
656
|
}
|
|
657
|
}
|
|
658
|
|
|
659
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
660
|
|
|
661
|
private void initializeCornerV()
|
|
662
|
{
|
|
663
|
mBasicCornerV = new Static4D[3];
|
|
664
|
mCurrCornerV = new Static4D[3];
|
|
665
|
|
|
666
|
mBasicCornerV[0] = new Static4D( (SQ5+1)*0.375f, (SQ5-1)*0.375f, -0.750f, 0.0f );
|
|
667
|
mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.375f, (SQ5-1)*0.375f, -0.750f, 0.0f );
|
|
668
|
mBasicCornerV[2] = new Static4D( 0, -1.500f, 0.0f, 0.0f );
|
|
669
|
}
|
|
670
|
|
|
671
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
672
|
|
|
673
|
private void initializeObjectQuats()
|
|
674
|
{
|
|
675
|
int[] tmp = new int[MAX_SUPPORTED_SIZE];
|
|
676
|
for(int i=0; i<MAX_SUPPORTED_SIZE; i++) tmp[i] = 5;
|
|
677
|
int[][] basicAngles = new int[][] { tmp,tmp,tmp,tmp,tmp,tmp };
|
|
678
|
|
|
679
|
mObjectQuats = QuatGroupGenerator.computeGroup(ROT_AXIS,basicAngles);
|
|
680
|
}
|
|
681
|
|
|
682
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
683
|
// Fill out mCurrCorner{X,Y,Z} by applying appropriate Quat to mBasicCorner{X,Y,Z}
|
|
684
|
// Appropriate one: QUATS[QUAT_INDICES[corner]].
|
|
685
|
|
|
686
|
private void computeBasicCornerVectors(int corner)
|
|
687
|
{
|
|
688
|
if( mQuatCornerIndices==null ) initializeQuatIndices();
|
|
689
|
if( mCurrCornerV==null || mBasicCornerV==null ) initializeCornerV();
|
|
690
|
if( mObjectQuats==null ) initializeObjectQuats();
|
|
691
|
|
|
692
|
Static4D quat = mObjectQuats[mQuatCornerIndices[corner]];
|
|
693
|
|
|
694
|
mCurrCornerV[0] = QuatHelper.rotateVectorByQuat(mBasicCornerV[0],quat);
|
|
695
|
mCurrCornerV[1] = QuatHelper.rotateVectorByQuat(mBasicCornerV[1],quat);
|
|
696
|
mCurrCornerV[2] = QuatHelper.rotateVectorByQuat(mBasicCornerV[2],quat);
|
|
697
|
}
|
|
698
|
|
|
699
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
700
|
// Coordinates of all 20 corners of a Minx
|
|
701
|
|
|
702
|
private void initializeCorners()
|
|
703
|
{
|
|
704
|
float cA = 1.5f;
|
|
705
|
float cB = 3*C2;
|
|
706
|
float cC = 3*SIN54;
|
|
707
|
|
|
708
|
mCorners = new float[][]
|
|
709
|
{
|
|
710
|
{ 0, cA, cB},
|
|
711
|
{ 0, cA,-cB},
|
|
712
|
{ 0,-cA, cB},
|
|
713
|
{ 0,-cA,-cB},
|
|
714
|
{ cB, 0, cA},
|
|
715
|
{ cB, 0,-cA},
|
|
716
|
{-cB, 0, cA},
|
|
717
|
{-cB, 0,-cA},
|
|
718
|
{ cA, cB, 0},
|
|
719
|
{ cA,-cB, 0},
|
|
720
|
{-cA, cB, 0},
|
|
721
|
{-cA,-cB, 0},
|
|
722
|
{ cC, cC, cC},
|
|
723
|
{ cC, cC,-cC},
|
|
724
|
{ cC,-cC, cC},
|
|
725
|
{ cC,-cC,-cC},
|
|
726
|
{-cC, cC, cC},
|
|
727
|
{-cC, cC,-cC},
|
|
728
|
{-cC,-cC, cC},
|
|
729
|
{-cC,-cC,-cC},
|
|
730
|
};
|
|
731
|
}
|
|
732
|
|
|
733
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
734
|
// the quadruple ( corner1, corner2, face1, face2 ) defining an edge.
|
|
735
|
// In fact the 2 corners already define it, the faces only provide easy
|
|
736
|
// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on
|
|
737
|
// the 'left' or right of vector corner1 --> corner2, according to Quat.
|
|
738
|
|
|
739
|
private void initializeEdgeMap()
|
|
740
|
{
|
|
741
|
mEdgeMap = new int[][]
|
|
742
|
{
|
|
743
|
{ 2, 0, 1, 2}, //0
|
|
744
|
{ 0, 12, 1, 0},
|
|
745
|
{ 12, 4, 1, 9},
|
|
746
|
{ 4, 14, 1, 5},
|
|
747
|
{ 14, 2, 1, 11},
|
|
748
|
{ 14, 9, 11, 5}, //5
|
|
749
|
{ 9, 11, 11, 4},
|
|
750
|
{ 11, 18, 11, 3},
|
|
751
|
{ 18, 2, 11, 2},
|
|
752
|
{ 18, 6, 2, 3},
|
|
753
|
{ 6, 16, 2, 8}, //10
|
|
754
|
{ 16, 0, 2, 0},
|
|
755
|
{ 16, 10, 0, 8},
|
|
756
|
{ 10, 8, 0, 10},
|
|
757
|
{ 8, 12, 0, 9},
|
|
758
|
{ 8, 13, 9, 10}, //15
|
|
759
|
{ 13, 5, 9, 6},
|
|
760
|
{ 5, 4, 9, 5},
|
|
761
|
{ 5, 15, 5, 6},
|
|
762
|
{ 15, 9, 5, 4},
|
|
763
|
{ 11, 19, 3, 4}, //20
|
|
764
|
{ 19, 7, 3, 7},
|
|
765
|
{ 7, 6, 3, 8},
|
|
766
|
{ 7, 17, 8, 7},
|
|
767
|
{ 17, 10, 8, 10},
|
|
768
|
{ 17, 1, 10, 7}, //25
|
|
769
|
{ 1, 3, 6, 7},
|
|
770
|
{ 3, 19, 4, 7},
|
|
771
|
{ 1, 13, 10, 6},
|
|
772
|
{ 3, 15, 6, 4},
|
|
773
|
};
|
|
774
|
}
|
|
775
|
|
|
776
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
777
|
|
|
778
|
private void initializeCenterCoords()
|
|
779
|
{
|
|
780
|
if( mCorners==null ) initializeCorners();
|
|
781
|
if( mCenterMap==null ) initializeCenterMap();
|
|
782
|
|
|
783
|
mCenterCoords = new float[NUM_CENTERS][3];
|
|
784
|
|
|
785
|
for(int center=0; center<NUM_CENTERS; center++)
|
|
786
|
{
|
|
787
|
int[] map = mCenterMap[center];
|
|
788
|
|
|
789
|
float x = mCorners[map[0]][0] +
|
|
790
|
mCorners[map[1]][0] +
|
|
791
|
mCorners[map[2]][0] +
|
|
792
|
mCorners[map[3]][0] +
|
|
793
|
mCorners[map[4]][0] ;
|
|
794
|
|
|
795
|
float y = mCorners[map[0]][1] +
|
|
796
|
mCorners[map[1]][1] +
|
|
797
|
mCorners[map[2]][1] +
|
|
798
|
mCorners[map[3]][1] +
|
|
799
|
mCorners[map[4]][1] ;
|
|
800
|
|
|
801
|
float z = mCorners[map[0]][2] +
|
|
802
|
mCorners[map[1]][2] +
|
|
803
|
mCorners[map[2]][2] +
|
|
804
|
mCorners[map[3]][2] +
|
|
805
|
mCorners[map[4]][2] ;
|
|
806
|
|
|
807
|
mCenterCoords[center][0] = x/5;
|
|
808
|
mCenterCoords[center][1] = y/5;
|
|
809
|
mCenterCoords[center][2] = z/5;
|
|
810
|
}
|
|
811
|
}
|
|
812
|
|
|
813
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
814
|
|
|
815
|
private float[] computeCenterMega(int center, int numLayers)
|
|
816
|
{
|
|
817
|
if( mCenterCoords==null ) initializeCenterCoords();
|
|
818
|
float[] coords = mCenterCoords[center];
|
|
819
|
float A = (float)numLayers/3;
|
|
820
|
|
|
821
|
return new float[] { A*coords[0], A*coords[1], A*coords[2] };
|
|
822
|
}
|
|
823
|
|
|
824
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
825
|
|
|
826
|
private float[] computeCenterKilo(int numLayers, int center, int part)
|
|
827
|
{
|
|
828
|
if( mCenterCoords==null ) initializeCenterCoords();
|
|
829
|
if( mCorners ==null ) initializeCorners();
|
|
830
|
if( mCenterMap ==null ) initializeCenterMap();
|
|
831
|
|
|
832
|
int corner = mCenterMap[center][part];
|
|
833
|
float[] cent = mCenterCoords[center];
|
|
834
|
float[] corn = mCorners[corner];
|
|
835
|
float D = numLayers/3.0f;
|
|
836
|
float F = 1.0f - (2.0f*numLayers-6.0f)/(numLayers-1)*COS54*COS54;
|
|
837
|
|
|
838
|
return new float[]
|
|
839
|
{
|
|
840
|
D * ( cent[0] + (corn[0]-cent[0])*F),
|
|
841
|
D * ( cent[1] + (corn[1]-cent[1])*F),
|
|
842
|
D * ( cent[2] + (corn[2]-cent[2])*F)
|
|
843
|
};
|
|
844
|
}
|
|
845
|
|
|
846
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
847
|
|
|
848
|
private float[] computeCornerMega(int numCubitsPerCorner, int numLayers, int corner, int part)
|
|
849
|
{
|
|
850
|
if( mCorners==null ) initializeCorners();
|
|
851
|
if( mCurrCornerV==null || mBasicCornerV==null ) initializeCornerV();
|
|
852
|
|
|
853
|
float D = numLayers/3.0f;
|
|
854
|
float[] corn = mCorners[corner];
|
|
855
|
|
|
856
|
if( part==0 )
|
|
857
|
{
|
|
858
|
return new float[] { corn[0]*D, corn[1]*D, corn[2]*D };
|
|
859
|
}
|
|
860
|
else
|
|
861
|
{
|
|
862
|
float E = D*(1-2*MEGA_D)/(0.5f*(numLayers-1));
|
|
863
|
int N = (numCubitsPerCorner-1)/3;
|
|
864
|
int block = (part-1) % N;
|
|
865
|
int index = (part-1) / N;
|
|
866
|
Static4D pri = mCurrCornerV[index];
|
|
867
|
Static4D sec = mCurrCornerV[(index+2)%3];
|
|
868
|
|
|
869
|
int layers= (numLayers-3)/2;
|
|
870
|
int multP = (block % layers) + 1;
|
|
871
|
int multS = (block / layers);
|
|
872
|
|
|
873
|
return new float[] {
|
|
874
|
corn[0]*D + (pri.get0()*multP + sec.get0()*multS)*E,
|
|
875
|
corn[1]*D + (pri.get1()*multP + sec.get1()*multS)*E,
|
|
876
|
corn[2]*D + (pri.get2()*multP + sec.get2()*multS)*E
|
|
877
|
};
|
|
878
|
}
|
|
879
|
}
|
|
880
|
|
|
881
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
882
|
|
|
883
|
private float[] computeCornerKilo(int numCubitsPerCorner, int numLayers, int corner, int part)
|
|
884
|
{
|
|
885
|
if( mCorners==null ) initializeCorners();
|
|
886
|
if( mCurrCornerV==null || mBasicCornerV==null ) initializeCornerV();
|
|
887
|
|
|
888
|
float D = numLayers/3.0f;
|
|
889
|
float[] corn = mCorners[corner];
|
|
890
|
|
|
891
|
if( part==0 )
|
|
892
|
{
|
|
893
|
return new float[] { corn[0]*D, corn[1]*D, corn[2]*D };
|
|
894
|
}
|
|
895
|
else
|
|
896
|
{
|
|
897
|
float E = D/(0.5f*(numLayers-1)); // ?? maybe 0.5*
|
|
898
|
int N = (numCubitsPerCorner-1)/3;
|
|
899
|
int block = (part-1) % N;
|
|
900
|
int index = (part-1) / N;
|
|
901
|
Static4D pri = mCurrCornerV[index];
|
|
902
|
Static4D sec = mCurrCornerV[(index+2)%3];
|
|
903
|
|
|
904
|
int layers= (numLayers-5)/2;
|
|
905
|
int multP = (block % layers) + 1;
|
|
906
|
int multS = (block / layers);
|
|
907
|
|
|
908
|
return new float[]
|
|
909
|
{
|
|
910
|
corn[0]*D + (pri.get0()*multP + sec.get0()*multS)*E,
|
|
911
|
corn[1]*D + (pri.get1()*multP + sec.get1()*multS)*E,
|
|
912
|
corn[2]*D + (pri.get2()*multP + sec.get2()*multS)*E
|
|
913
|
};
|
|
914
|
}
|
|
915
|
}
|
|
916
|
|
|
917
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
918
|
|
|
919
|
private float[] computeEdgeMega(int numLayers, int edge, int part)
|
|
920
|
{
|
|
921
|
if( mCenterCoords==null ) initializeCenterCoords();
|
|
922
|
if( mCorners==null ) initializeCorners();
|
|
923
|
if( mEdgeMap==null ) initializeEdgeMap();
|
|
924
|
|
|
925
|
float D = numLayers/3.0f;
|
|
926
|
float[] c1 = mCorners[ mEdgeMap[edge][0] ];
|
|
927
|
float[] c2 = mCorners[ mEdgeMap[edge][1] ];
|
|
928
|
float x = D * (c1[0]+c2[0]) / 2;
|
|
929
|
float y = D * (c1[1]+c2[1]) / 2;
|
|
930
|
float z = D * (c1[2]+c2[2]) / 2;
|
|
931
|
|
|
932
|
if( part==0 )
|
|
933
|
{
|
|
934
|
return new float[] { x, y, z };
|
|
935
|
}
|
|
936
|
else
|
|
937
|
{
|
|
938
|
int mult = (part+1)/2;
|
|
939
|
int dir = (part+1)%2;
|
|
940
|
float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ];
|
|
941
|
|
|
942
|
float vX = D*center[0] - x;
|
|
943
|
float vY = D*center[1] - y;
|
|
944
|
float vZ = D*center[2] - z;
|
|
945
|
|
|
946
|
float A = 3*mult*D*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
|
|
947
|
A /= (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
|
|
948
|
|
|
949
|
return new float[] { x+A*vX, y+A*vY, z+A*vZ };
|
|
950
|
}
|
|
951
|
}
|
|
952
|
|
|
953
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
954
|
|
|
955
|
private float[] computeEdgeKilo(int numLayers, int edge, int part)
|
|
956
|
{
|
|
957
|
if( mCenterCoords==null ) initializeCenterCoords();
|
|
958
|
if( mCorners==null ) initializeCorners();
|
|
959
|
if( mEdgeMap==null ) initializeEdgeMap();
|
|
960
|
|
|
961
|
float D = numLayers/3.0f;
|
|
962
|
float[] c1 = mCorners[ mEdgeMap[edge][0] ];
|
|
963
|
float[] c2 = mCorners[ mEdgeMap[edge][1] ];
|
|
964
|
|
|
965
|
int leftRight = 2*(part%2) -1;
|
|
966
|
part /= 2;
|
|
967
|
|
|
968
|
if( part==0 )
|
|
969
|
{
|
|
970
|
float T = 0.5f + leftRight/(numLayers-1.0f);
|
|
971
|
float x = D * (T*c1[0]+(1.0f-T)*c2[0]);
|
|
972
|
float y = D * (T*c1[1]+(1.0f-T)*c2[1]);
|
|
973
|
float z = D * (T*c1[2]+(1.0f-T)*c2[2]);
|
|
974
|
|
|
975
|
return new float[] { x, y, z };
|
|
976
|
}
|
|
977
|
else
|
|
978
|
{
|
|
979
|
int mult = (part+1)/2;
|
|
980
|
int dir = (part+1)%2;
|
|
981
|
float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ];
|
|
982
|
float x = 0.5f * D * (c1[0]+c2[0]);
|
|
983
|
float y = 0.5f * D * (c1[1]+c2[1]);
|
|
984
|
float z = 0.5f * D * (c1[2]+c2[2]);
|
|
985
|
|
|
986
|
float vX = D*center[0] - x;
|
|
987
|
float vY = D*center[1] - y;
|
|
988
|
float vZ = D*center[2] - z;
|
|
989
|
|
|
990
|
float T = 0.5f + leftRight*(mult*SIN18 + 1.0f)/(numLayers-1);
|
|
991
|
|
|
992
|
x = D * (T*c1[0]+(1.0f-T)*c2[0]);
|
|
993
|
y = D * (T*c1[1]+(1.0f-T)*c2[1]);
|
|
994
|
z = D * (T*c1[2]+(1.0f-T)*c2[2]);
|
|
995
|
|
|
996
|
float H = mult*D*COS18/(numLayers-1);
|
|
997
|
H /= (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
|
|
998
|
|
|
999
|
return new float[] { x + H*vX, y + H*vY, z + H*vZ };
|
|
1000
|
}
|
|
1001
|
}
|
|
1002
|
|
|
1003
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1004
|
|
|
1005
|
public float[][][] getPositions(int[] numLayers)
|
|
1006
|
{
|
|
1007
|
int size = numLayers[0];
|
|
1008
|
|
|
1009
|
if( BandagedObjectMegaminx.isMegaminx(size) )
|
|
1010
|
{
|
|
1011
|
int numCubitsPerCorner = BandagedObjectMegaminx.numCubitsPerCornerMega(size);
|
|
1012
|
int numVariants = size==3 ? 3:4;
|
|
1013
|
final float[][][] positions = new float[numVariants][][];
|
|
1014
|
|
|
1015
|
positions[0] = new float[NUM_CORNERS*numCubitsPerCorner][];
|
|
1016
|
positions[1] = new float[NUM_EDGES][];
|
|
1017
|
|
|
1018
|
if( size==3 )
|
|
1019
|
{
|
|
1020
|
positions[2] = new float[NUM_CENTERS][];
|
|
1021
|
}
|
|
1022
|
else
|
|
1023
|
{
|
|
1024
|
positions[2] = new float[2*NUM_EDGES][];
|
|
1025
|
positions[3] = new float[NUM_CENTERS][];
|
|
1026
|
}
|
|
1027
|
|
|
1028
|
for(int index=0,corner=0; corner<NUM_CORNERS; corner++)
|
|
1029
|
{
|
|
1030
|
computeBasicCornerVectors(corner);
|
|
1031
|
|
|
1032
|
for(int part=0; part<numCubitsPerCorner; part++)
|
|
1033
|
{
|
|
1034
|
positions[0][index++] = computeCornerMega(numCubitsPerCorner,size,corner,part);
|
|
1035
|
}
|
|
1036
|
}
|
|
1037
|
|
|
1038
|
if( size==3 )
|
|
1039
|
for(int edge=0; edge<NUM_EDGES; edge++)
|
|
1040
|
{
|
|
1041
|
positions[1][edge] = computeEdgeMega(size, edge, 0 );
|
|
1042
|
}
|
|
1043
|
else
|
|
1044
|
for(int edge=0; edge<NUM_EDGES; edge++)
|
|
1045
|
{
|
|
1046
|
positions[1][ edge ] = computeEdgeMega(size, edge, 1 );
|
|
1047
|
positions[2][2*edge ] = computeEdgeMega(size, edge, 2 );
|
|
1048
|
positions[2][2*edge+1] = computeEdgeMega(size, edge, 2 );
|
|
1049
|
}
|
|
1050
|
|
|
1051
|
int centerIndex = size==3 ? 2:3;
|
|
1052
|
|
|
1053
|
for(int center=0; center<NUM_CENTERS; center++)
|
|
1054
|
{
|
|
1055
|
positions[centerIndex][center] = computeCenterMega(center, size);
|
|
1056
|
}
|
|
1057
|
|
|
1058
|
return positions;
|
|
1059
|
}
|
|
1060
|
else
|
|
1061
|
{
|
|
1062
|
size++;
|
|
1063
|
|
|
1064
|
if( mCorners==null ) initializeCorners();
|
|
1065
|
|
|
1066
|
if( size==3 )
|
|
1067
|
{
|
|
1068
|
final float[][][] positions = new float[1][NUM_CORNERS][];
|
|
1069
|
|
|
1070
|
for(int corner=0; corner<NUM_CORNERS; corner++)
|
|
1071
|
{
|
|
1072
|
float[] c = mCorners[corner];
|
|
1073
|
positions[0][corner] = new float[] { 2*c[0]/3, 2*c[1]/3, 2*c[2]/3 };
|
|
1074
|
}
|
|
1075
|
|
|
1076
|
return positions;
|
|
1077
|
}
|
|
1078
|
|
|
1079
|
int numCubitsPerCorner = BandagedObjectMegaminx.numCubitsPerCornerKilo(size);
|
|
1080
|
int numCubitsPerCenter = 5;
|
|
1081
|
|
|
1082
|
final float[][][] positions = new float[4][][];
|
|
1083
|
positions[0] = new float[NUM_CORNERS][];
|
|
1084
|
positions[1] = new float[NUM_EDGES][];
|
|
1085
|
positions[2] = new float[NUM_EDGES][];
|
|
1086
|
positions[3] = new float[NUM_CENTERS*numCubitsPerCenter][];
|
|
1087
|
|
|
1088
|
for(int index=0,corner=0; corner<NUM_CORNERS; corner++)
|
|
1089
|
{
|
|
1090
|
computeBasicCornerVectors(corner);
|
|
1091
|
|
|
1092
|
for(int part=0; part<numCubitsPerCorner; part++)
|
|
1093
|
{
|
|
1094
|
positions[0][index++] = computeCornerKilo(numCubitsPerCorner,size,corner,part);
|
|
1095
|
}
|
|
1096
|
}
|
|
1097
|
|
|
1098
|
for(int edge=0; edge<NUM_EDGES; edge++)
|
|
1099
|
{
|
|
1100
|
positions[1][edge] = computeEdgeKilo(size, edge, 0 );
|
|
1101
|
positions[2][edge] = computeEdgeKilo(size, edge, 1 );
|
|
1102
|
}
|
|
1103
|
|
|
1104
|
for(int index=0,center=0; center<NUM_CENTERS; center++)
|
|
1105
|
for(int part=0; part<numCubitsPerCenter; part++)
|
|
1106
|
{
|
|
1107
|
positions[3][index++] = computeCenterKilo(size,center, part);
|
|
1108
|
}
|
|
1109
|
|
|
1110
|
return positions;
|
|
1111
|
}
|
|
1112
|
}
|
|
1113
|
|
|
1114
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1115
|
|
|
1116
|
public Static4D getElementQuat(int[] numLayers, int cubitIndex)
|
|
1117
|
{
|
|
1118
|
if( mObjectQuats==null ) createQuats();
|
|
1119
|
|
|
1120
|
switch( numLayers[0] )
|
|
1121
|
{
|
|
1122
|
case 2: return mObjectQuats[getQuatKilo(cubitIndex,0,0)];
|
|
1123
|
case 3: return mObjectQuats[getQuatMega(cubitIndex,1,1)];
|
|
1124
|
case 4: return mObjectQuats[getQuatKilo(cubitIndex,1,2)];
|
|
1125
|
case 5: return mObjectQuats[getQuatMega(cubitIndex,7,3)];
|
|
1126
|
}
|
|
1127
|
|
|
1128
|
return QUAT;
|
|
1129
|
}
|
|
1130
|
|
|
1131
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1132
|
|
|
1133
|
public Static3D[] getNormals()
|
|
1134
|
{
|
|
1135
|
return TouchControlDodecahedron.FACE_AXIS;
|
|
1136
|
}
|
|
1137
|
|
|
1138
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1139
|
|
|
1140
|
public float[] getDist3D(int[] numLayers)
|
|
1141
|
{
|
|
1142
|
final float d = TouchControlDodecahedron.DIST3D*numLayers[0];
|
|
1143
|
return new float[] {d,d,d,d,d,d,d,d,d,d,d,d};
|
|
1144
|
}
|
|
1145
|
|
|
1146
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1147
|
// all the 10 *distinct* edges of the dodecahedron
|
|
1148
|
|
|
1149
|
public float[][] getDiameterAxis()
|
|
1150
|
{
|
|
1151
|
float A = (SQ5+1)/4;
|
|
1152
|
float B = (SQ5-1)/4;
|
|
1153
|
float C = 0.5f;
|
|
1154
|
|
|
1155
|
return new float[][]
|
|
1156
|
{
|
|
1157
|
{ A, B, C},
|
|
1158
|
{ A, B,-C},
|
|
1159
|
{ A,-B, C},
|
|
1160
|
{ A,-B,-C},
|
|
1161
|
{ B, C, A},
|
|
1162
|
{ B, C,-A},
|
|
1163
|
{ B,-C, A},
|
|
1164
|
{ B,-C,-A},
|
|
1165
|
{ C, A, B},
|
|
1166
|
{ C, A,-B},
|
|
1167
|
{ C,-A, B},
|
|
1168
|
{ C,-A,-B},
|
|
1169
|
};
|
|
1170
|
}
|
|
1171
|
|
|
1172
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1173
|
|
|
1174
|
public int diameterMap(float diameter)
|
|
1175
|
{
|
|
1176
|
if( diameter>=5.49f ) return 11;
|
|
1177
|
if( diameter>1.1f && diameter<1.9f ) return 3;
|
|
1178
|
return (int)(2*diameter+0.01f);
|
|
1179
|
}
|
|
1180
|
|
|
1181
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
1182
|
|
|
1183
|
public float[][] getBands(boolean iconMode, int[] numLayers)
|
|
1184
|
{
|
|
1185
|
float height= iconMode ? 0.001f : 0.04f;
|
|
1186
|
int[] angle = {68,56,50,43,39,35,32,30,28,26,25};
|
|
1187
|
float R = 0.3f;
|
|
1188
|
float S = 0.5f;
|
|
1189
|
int extraI = 0;
|
|
1190
|
int extraV = 0;
|
|
1191
|
int numVertA= numLayers[0]>=4 ? 4 : 5;
|
|
1192
|
int numVertI= numLayers[0]>=4 ? 2 : 3;
|
|
1193
|
|
|
1194
|
return new float[][] { { 0.001f ,angle[ 0],R,S,numVertI,extraV,extraI},
|
|
1195
|
{height ,angle[ 1],R,S,numVertA,extraV,extraI},
|
|
1196
|
{height ,angle[ 1],R,S,numVertA,extraV,extraI},
|
|
1197
|
{height/ 1.5f,angle[ 2],R,S,numVertA,extraV,extraI},
|
|
1198
|
{height/ 2.0f,angle[ 3],R,S,numVertA,extraV,extraI},
|
|
1199
|
{height/ 2.5f,angle[ 4],R,S,numVertA,extraV,extraI},
|
|
1200
|
{height/ 3.0f,angle[ 5],R,S,numVertA,extraV,extraI},
|
|
1201
|
{height/ 3.5f,angle[ 6],R,S,numVertA,extraV,extraI},
|
|
1202
|
{height/ 4.0f,angle[ 7],R,S,numVertA,extraV,extraI},
|
|
1203
|
{height/ 4.5f,angle[ 8],R,S,numVertA,extraV,extraI},
|
|
1204
|
{height/ 5.0f,angle[ 9],R,S,numVertA,extraV,extraI},
|
|
1205
|
{height/ 5.5f,angle[10],R,S,numVertA,extraV,extraI}
|
|
1206
|
};
|
|
1207
|
}
|
|
1208
|
}
|