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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 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 free software: you can redistribute it and/or modify //
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// it under the terms of the GNU General Public License as published by //
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// the Free Software Foundation, either version 2 of the License, or //
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// (at your option) any later version. //
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// //
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// Magic Cube 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 //
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// GNU General Public License for more details. //
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// //
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// You should have received a copy of the GNU General Public License //
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// along with Magic Cube. If not, see <http://www.gnu.org/licenses/>. //
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///////////////////////////////////////////////////////////////////////////////////////////////////
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package org.distorted.objects;
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import android.content.res.Resources;
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import android.graphics.Canvas;
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import android.graphics.Paint;
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import org.distorted.helpers.FactoryCubit;
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import org.distorted.helpers.FactorySticker;
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import org.distorted.library.effect.MatrixEffectQuaternion;
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import org.distorted.library.main.DistortedEffects;
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import org.distorted.library.main.DistortedTexture;
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import org.distorted.library.mesh.MeshBase;
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import org.distorted.library.mesh.MeshSquare;
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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.main.R;
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import org.distorted.main.RubikSurfaceView;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyMegaminx extends TwistyMinx
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{
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static final float MEGA_D = 0.04f;
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private static final int[] QUAT_CENTER_INDICES =
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{
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16, 18, 22, 1, 20, 13, 14, 15, 0, 12, 2, 3
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};
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private static MeshBase[] mCenterMeshes, mCornerMeshes;
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private static MeshBase[][] mEdgeMeshes;
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private static final float[][] STICKERS = new float[][]
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{
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{ -0.36327127f, -0.5f, 0.36327127f, -0.26393202f, 0.36327127f, 0.5f, -0.36327127f, 0.26393202f },
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{ -0.5f, -0.0914315f, 0.5f, -0.4163512f, 0.5f, 0.4163512f, -0.5f, 0.0914315f },
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{ -0.49233657f, -0.18006028f, 0.49233657f, -0.5f, 0.49233657f, 0.5f, -0.49233657f, 0.18006028f },
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{ -0.3002273f, -0.30490047f, 0.3002273f, -0.5f, 0.3002273f, 0.5f, -0.3002273f, 0.30490047f },
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{ -0.29389262f, 0.4045085f, -0.47552824f, -0.1545085f, 0.0f, -0.5f, 0.47552824f, -0.1545085f, 0.29389262f, 0.4045085f }
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};
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyMegaminx(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh,
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DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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{
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super(size, size, quat, texture, mesh, effects, moves, ObjectList.MEGA, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int numCubitsPerCorner(int numLayers)
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{
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return 3*((numLayers-1)/2)*((numLayers-3)/2) + 1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int numCubitsPerEdge(int numLayers)
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{
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return numLayers-2;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 1.07f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumStickerTypes(int numLayers)
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{
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return (numLayers+3)/2;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getCuts(int numLayers)
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{
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float[] cuts = new float[numLayers-1];
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float D = numLayers*MovementMinx.DIST3D;
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float E = 2*SIN54;
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float X = 2*D*E/(1+2*E); // height of the 'upper' part of a dodecahedron, i.e. put it on a table,
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// its height is then D*2*DIST3D, it has one 'lower' part of height X, one
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// 'middle' part of height Y and one upper part of height X again.
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// It's edge length = numLayers/3.0f.
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int num = (numLayers-1)/2;
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float G = X*(0.5f-MEGA_D)/num; // height of one Layer
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for(int i=0; i<num; i++)
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{
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cuts[ i] = -D + (i+0.5f)*G;
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cuts[2*num-1-i] = -cuts[i];
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}
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return cuts;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[] computeCenter(int center, int numLayers)
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{
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float[] coords = mCenterCoords[center];
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float A = numLayers/3.0f;
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return new float[] { A*coords[0], A*coords[1], A*coords[2] };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Fill out mCurrCorner{X,Y,Z} by applying appropriate Quat to mBasicCorner{X,Y,Z}
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// Appropriate one: QUATS[QUAT_INDICES[corner]].
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private void computeBasicCornerVectors(int corner)
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{
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Static4D quat = QUATS[QUAT_CORNER_INDICES[corner]];
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mCurrCornerV[0] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[0],quat);
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mCurrCornerV[1] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[1],quat);
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mCurrCornerV[2] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[2],quat);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[] computeCorner(int numCubitsPerCorner, int numLayers, int corner, int part)
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{
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float D = numLayers/3.0f;
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float[] corn = CORNERS[corner];
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if( part==0 )
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{
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return new float[] { corn[0]*D, corn[1]*D, corn[2]*D };
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}
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else
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{
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float E = 2.0f*D*(0.5f-MEGA_D)/(0.5f*(numLayers-1));
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int N = (numCubitsPerCorner-1)/3;
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int block = (part-1) % N;
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int index = (part-1) / N;
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Static4D pri = mCurrCornerV[index];
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Static4D sec = mCurrCornerV[(index+2)%3];
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int layers= (numLayers-3)/2;
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int multP = (block % layers) + 1;
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int multS = (block / layers);
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return new float[] {
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corn[0]*D + (pri.get0()*multP + sec.get0()*multS)*E,
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corn[1]*D + (pri.get1()*multP + sec.get1()*multS)*E,
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corn[2]*D + (pri.get2()*multP + sec.get2()*multS)*E
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};
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int computeEdgeType(int cubit, int numCubitsPerCorner, int numCubitsPerEdge)
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{
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int part = (cubit - NUM_CORNERS*numCubitsPerCorner) % numCubitsPerEdge;
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return (part+1)/2;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[] computeEdge(int numLayers, int edge, int part)
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{
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float D = numLayers/3.0f;
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float[] c1 = CORNERS[ mEdgeMap[edge][0] ];
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float[] c2 = CORNERS[ mEdgeMap[edge][1] ];
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float x = D * (c1[0]+c2[0]) / 2;
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float y = D * (c1[1]+c2[1]) / 2;
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float z = D * (c1[2]+c2[2]) / 2;
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if( part==0 )
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{
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return new float[] { x, y, z };
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}
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else
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{
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int mult = (part+1)/2;
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int dir = (part+1)%2;
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float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ];
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float vX = D*center[0] - x;
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float vY = D*center[1] - y;
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float vZ = D*center[2] - z;
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float A = mult*D*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
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A /= (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
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return new float[] { x+A*vX, y+A*vY, z+A*vZ };
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getCubitPositions(int numLayers)
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{
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int numCubitsPerCorner = numCubitsPerCorner(numLayers);
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int numCubitsPerEdge = numCubitsPerEdge(numLayers);
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int numCubits = NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge + NUM_CENTERS;
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int index=0;
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final float[][] CENTERS = new float[numCubits][];
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for(int corner=0; corner<NUM_CORNERS; corner++)
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{
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computeBasicCornerVectors(corner);
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for(int part=0; part<numCubitsPerCorner; part++, index++)
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{
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CENTERS[index] = computeCorner(numCubitsPerCorner,numLayers,corner,part);
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}
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}
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for(int edge=0; edge<NUM_EDGES; edge++)
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{
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for(int part=0; part<numCubitsPerEdge; part++, index++)
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{
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CENTERS[index] = computeEdge(numLayers, edge, part );
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}
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}
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for(int center=0; center<NUM_CENTERS; center++, index++)
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{
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CENTERS[index] = computeCenter(center, numLayers);
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}
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return CENTERS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int getQuat(int cubit, int numCubitsPerCorner, int numCubitsPerEdge)
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{
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if( cubit < NUM_CORNERS*numCubitsPerCorner )
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{
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int corner = cubit/numCubitsPerCorner;
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return QUAT_CORNER_INDICES[corner];
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}
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if( cubit < NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
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{
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int edge = (cubit-NUM_CORNERS*numCubitsPerCorner)/numCubitsPerEdge;
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return QUAT_EDGE_INDICES[edge];
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}
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int center = cubit - NUM_CORNERS*numCubitsPerCorner - NUM_EDGES*numCubitsPerEdge;
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return QUAT_CENTER_INDICES[center];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createEdgeMesh(int numLayers, float width, float height)
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{
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double W = width/2;
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double X = height*SIN_HALFD;
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double Y = height*SIN18/COS18;
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double Z = height*COS_HALFD;
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double[][] vertices = new double[][]
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{
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{ 0.0, W , 0.0 },
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{ X, W+Y , -Z },
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{ 0.0, W+2*Y ,-2*Z },
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{ -X, W+Y , -Z },
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{ 0.0, -W , 0.0 },
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{ X,-W-Y , -Z },
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{ 0.0,-W-2*Y ,-2*Z },
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{ -X,-W-Y , -Z },
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};
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int[][] vertIndexes = 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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{7,6,2,3},
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{6,5,1,2},
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{0,1,2,3},
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{4,5,6,7}
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};
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int N = numLayers<=5 ? 5 : 3;
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float[][] bands = new float[][]
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{
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{0.04f,34,0.2f,0.2f,N,0,0},
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{0.00f, 0,0.3f,0.2f,2,0,0}
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};
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int[] bandIndexes = new int[] { 0,0,1,1,1,1};
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float[][] corners = new float[][] { {0.04f,0.10f} };
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int[] cornerIndexes = new int[] { -1,-1,-1,-1, -1,-1,-1,-1 };
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float[][] centers = new float[][] { {0.0f, 0.0f, (float)(-2*Z)} };
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int[] centerIndexes = new int[] { -1,-1,-1,-1, -1,-1,-1,-1 };
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FactoryCubit factory = FactoryCubit.getInstance();
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factory.createNewFaceTransform(vertices,vertIndexes);
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return factory.createRoundedSolid(vertices, vertIndexes,
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bands, bandIndexes,
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corners, cornerIndexes,
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centers, centerIndexes,
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getNumCubitFaces() );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createCenterMesh(int numLayers, float width)
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{
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final double V = 0.83; // ??
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final double ANGLE = V*Math.PI;
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final double cosA = Math.cos(ANGLE);
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final double sinA = 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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double[][] vertices = new double[][]
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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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{0.0f,-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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};
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int[][] vertIndexes = new int[][]
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{
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{0,1,2,3,4},
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{0,1,2,3,4}
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};
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int N = numLayers==3 ? 4 : 3;
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float[][] bands = new float[][]
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{
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{0.04f,45, R/3,0.2f,N,0,0},
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{0.00f, 0, R/3,0.2f,2,0,0}
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};
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int[] bandIndexes = new int[] { 0,1 };
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float[][] corners = new float[][] { {0.04f,0.10f} };
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int[] cornerIndexes = new int[] { -1,-1,-1,-1, -1 };
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float[][] centers = new float[][] { {0.0f, 0.0f, 0.0f} };
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int[] centerIndexes = new int[] { -1,-1,-1,-1, -1 };
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FactoryCubit factory = FactoryCubit.getInstance();
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factory.createNewFaceTransform(vertices,vertIndexes);
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return factory.createRoundedSolid(vertices, vertIndexes,
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bands, bandIndexes,
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corners, cornerIndexes,
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centers, centerIndexes,
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getNumCubitFaces() );
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createCubitMesh(int cubit, int numLayers)
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{
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int numCubitsPerCorner = numCubitsPerCorner(numLayers);
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int numCubitsPerEdge = numCubitsPerEdge(numLayers);
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int index = (numLayers-3)/2;
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int[] sizes = ObjectList.MEGA.getSizes();
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int variants = sizes.length;
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MeshBase mesh;
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if( mCornerMeshes==null ) mCornerMeshes = new MeshBase[variants];
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if( mEdgeMeshes ==null ) mEdgeMeshes = new MeshBase[variants][(sizes[variants-1]-1)/2];
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if( mCenterMeshes==null ) mCenterMeshes = new MeshBase[variants];
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if( cubit < NUM_CORNERS*numCubitsPerCorner )
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{
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if( mCornerMeshes[index]==null )
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398
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{
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float width = (numLayers/3.0f)*(0.5f-MEGA_D)/(0.5f*(numLayers-1));
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mCornerMeshes[index] = createCornerMesh(numLayers, width);
|
401
|
}
|
402
|
mesh = mCornerMeshes[index].copy(true);
|
403
|
}
|
404
|
else if( cubit<NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
405
|
{
|
406
|
int type = computeEdgeType(cubit,numCubitsPerCorner,numCubitsPerEdge);
|
407
|
|
408
|
if( mEdgeMeshes[index][type]==null )
|
409
|
{
|
410
|
float height= (numLayers/3.0f)*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
|
411
|
float width = (numLayers/3.0f)*2*MEGA_D + 2*type*height*SIN18/COS18;
|
412
|
|
413
|
mEdgeMeshes[index][type] = createEdgeMesh(numLayers,width,height);
|
414
|
}
|
415
|
|
416
|
mesh = mEdgeMeshes[index][type].copy(true);
|
417
|
}
|
418
|
else
|
419
|
{
|
420
|
if( mCenterMeshes[index]==null )
|
421
|
{
|
422
|
float width = 2 * (numLayers/3.0f) * (MEGA_D+(0.5f-MEGA_D)*SIN18);
|
423
|
mCenterMeshes[index] = createCenterMesh(numLayers,width);
|
424
|
}
|
425
|
|
426
|
mesh = mCenterMeshes[index].copy(true);
|
427
|
}
|
428
|
|
429
|
Static4D q = QUATS[getQuat(cubit,numCubitsPerCorner,numCubitsPerEdge)];
|
430
|
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( q, new Static3D(0,0,0) );
|
431
|
mesh.apply(quat,0xffffffff,0);
|
432
|
|
433
|
return mesh;
|
434
|
}
|
435
|
|
436
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
437
|
|
438
|
int getCornerColor(int cubit, int cubitface, int numLayers, int numCubitsPerCorner)
|
439
|
{
|
440
|
if( cubitface<0 || cubitface>2 ) return NUM_TEXTURES;
|
441
|
|
442
|
int part = cubit % numCubitsPerCorner;
|
443
|
int corner= cubit / numCubitsPerCorner;
|
444
|
|
445
|
if( part==0 )
|
446
|
{
|
447
|
return mCornerFaceMap[corner][cubitface];
|
448
|
}
|
449
|
else
|
450
|
{
|
451
|
int N = (numCubitsPerCorner-1)/3;
|
452
|
int block = (part-1) % N;
|
453
|
int index = (part-1) / N;
|
454
|
|
455
|
if( block< (numLayers-3)/2 )
|
456
|
{
|
457
|
switch(index)
|
458
|
{
|
459
|
case 0: return cubitface==1 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
460
|
case 1: return cubitface==0 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
461
|
case 2: return cubitface==2 ? NUM_TEXTURES : mCornerFaceMap[corner][cubitface];
|
462
|
}
|
463
|
}
|
464
|
else
|
465
|
{
|
466
|
switch(index)
|
467
|
{
|
468
|
case 0: return cubitface==0 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
469
|
case 1: return cubitface==2 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
470
|
case 2: return cubitface==1 ? mCornerFaceMap[corner][cubitface] : NUM_TEXTURES;
|
471
|
}
|
472
|
}
|
473
|
}
|
474
|
|
475
|
return NUM_TEXTURES;
|
476
|
}
|
477
|
|
478
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
479
|
|
480
|
int getEdgeColor(int edge, int cubitface, int numCubitsPerEdge)
|
481
|
{
|
482
|
if( cubitface<0 || cubitface>1 ) return NUM_TEXTURES;
|
483
|
|
484
|
int part = edge % numCubitsPerEdge;
|
485
|
int variant = edge / numCubitsPerEdge;
|
486
|
|
487
|
return (part==0 || cubitface==((part+1)%2)) ? mEdgeMap[variant][cubitface+2] + ((part+3)/2)*NUM_FACES : NUM_TEXTURES;
|
488
|
}
|
489
|
|
490
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
491
|
|
492
|
int getCenterColor(int center, int cubitface, int numLayers)
|
493
|
{
|
494
|
return cubitface>0 ? NUM_TEXTURES : center + NUM_FACES*(numLayers+1)/2;
|
495
|
}
|
496
|
|
497
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
498
|
|
499
|
int getFaceColor(int cubit, int cubitface, int numLayers)
|
500
|
{
|
501
|
int numCubitsPerCorner = numCubitsPerCorner(numLayers);
|
502
|
int numCubitsPerEdge = numCubitsPerEdge(numLayers);
|
503
|
|
504
|
if( cubit < NUM_CORNERS*numCubitsPerCorner )
|
505
|
{
|
506
|
return getCornerColor(cubit,cubitface,numLayers,numCubitsPerCorner);
|
507
|
}
|
508
|
else if( cubit<NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge )
|
509
|
{
|
510
|
int edge = cubit - NUM_CORNERS*numCubitsPerCorner;
|
511
|
return getEdgeColor(edge,cubitface,numCubitsPerEdge);
|
512
|
}
|
513
|
else
|
514
|
{
|
515
|
int center = cubit-NUM_CORNERS*numCubitsPerCorner-NUM_EDGES*numCubitsPerEdge;
|
516
|
return getCenterColor( center, cubitface, numLayers);
|
517
|
}
|
518
|
}
|
519
|
|
520
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
521
|
|
522
|
void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
|
523
|
{
|
524
|
int COLORS = FACE_COLORS.length;
|
525
|
float R,S;
|
526
|
int index,variant = face/COLORS;
|
527
|
|
528
|
if( variant==0 ) { R = 0.08f; S = 0.10f; index = 0; }
|
529
|
else
|
530
|
{
|
531
|
int numLayers = getNumLayers();
|
532
|
|
533
|
if( variant < (numLayers+1)/2 )
|
534
|
{
|
535
|
if( numLayers==3 ) { R = 0.12f; S = 0.12f; index = 1; }
|
536
|
else
|
537
|
{
|
538
|
if( variant==1 ) { R = 0.12f; S = 0.12f; index = 2; }
|
539
|
else { R = 0.08f; S = 0.08f; index = 3; }
|
540
|
}
|
541
|
}
|
542
|
else { R = 0.10f; S = 0.07f; index = 4; }
|
543
|
}
|
544
|
|
545
|
FactorySticker factory = FactorySticker.getInstance();
|
546
|
factory.drawRoundedPolygon(canvas, paint, left, top, STICKERS[index], S, FACE_COLORS[face%COLORS], R);
|
547
|
}
|
548
|
|
549
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
550
|
// PUBLIC API
|
551
|
|
552
|
public boolean isSolved()
|
553
|
{
|
554
|
int index = CUBITS[0].mQuatIndex;
|
555
|
|
556
|
for(int i=1; i<NUM_CUBITS; i++)
|
557
|
{
|
558
|
if( thereIsVisibleDifference(CUBITS[i], index) ) return false;
|
559
|
}
|
560
|
|
561
|
return true;
|
562
|
}
|
563
|
|
564
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
565
|
|
566
|
public int getObjectName(int numLayers)
|
567
|
{
|
568
|
if( numLayers==3 ) return R.string.minx3;
|
569
|
if( numLayers==5 ) return R.string.minx5;
|
570
|
|
571
|
return 0;
|
572
|
}
|
573
|
|
574
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
575
|
|
576
|
public int getInventor(int numLayers)
|
577
|
{
|
578
|
if( numLayers==3 ) return R.string.minx3_inventor;
|
579
|
if( numLayers==5 ) return R.string.minx5_inventor;
|
580
|
|
581
|
return 0;
|
582
|
}
|
583
|
|
584
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
585
|
|
586
|
public int getComplexity(int numLayers)
|
587
|
{
|
588
|
if( numLayers==3 ) return 4;
|
589
|
|
590
|
return 5;
|
591
|
}
|
592
|
}
|