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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2019 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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1f9772f3
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Leszek Koltunski
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package org.distorted.objects;
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import android.content.res.Resources;
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import org.distorted.helpers.ObjectShape;
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import org.distorted.helpers.ObjectSticker;
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import org.distorted.library.main.DistortedEffects;
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import org.distorted.library.main.DistortedTexture;
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efa8aa48
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Leszek Koltunski
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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 java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyPyraminx extends TwistyObject
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{
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static final float SCREEN_RATIO = 0.88f;
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( 0,-SQ3/3,-SQ6/3),
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new Static3D( 0,-SQ3/3,+SQ6/3),
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new Static3D(+SQ6/3,+SQ3/3, 0),
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new Static3D(-SQ6/3,+SQ3/3, 0),
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};
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private static final int[] BASIC_ANGLE = new int[] { 3,3,3,3 };
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private static final int[] FACE_COLORS = new int[]
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{
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COLOR_GREEN , COLOR_YELLOW,
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COLOR_BLUE , COLOR_RED
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};
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// computed with res/raw/compute_quats.c
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private static final Static4D[] QUATS = new Static4D[]
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{
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new Static4D( 0.0f, 0.0f, 0.0f, 1.0f),
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new Static4D( 0.0f, 1.0f, 0.0f, 0.0f),
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new Static4D( SQ2/2, 0.5f, 0.0f, 0.5f),
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new Static4D(-SQ2/2, 0.5f, 0.0f, 0.5f),
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new Static4D( 0.0f, -0.5f, -SQ2/2, 0.5f),
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new Static4D( 0.0f, -0.5f, SQ2/2, 0.5f),
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new Static4D( SQ2/2, 0.5f, 0.0f, -0.5f),
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new Static4D(-SQ2/2, 0.5f, 0.0f, -0.5f),
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new Static4D( 0.0f, -0.5f, -SQ2/2, -0.5f),
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new Static4D( 0.0f, -0.5f, SQ2/2, -0.5f),
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new Static4D( SQ2/2, 0.0f, SQ2/2, 0.0f),
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new Static4D(-SQ2/2, 0.0f, SQ2/2, 0.0f)
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};
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private static final double[][] VERTICES_TETRA = new double[][]
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{
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{-0.5, SQ2/4, 0.0},
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{ 0.5, SQ2/4, 0.0},
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{ 0.0,-SQ2/4, 0.5},
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{ 0.0,-SQ2/4,-0.5}
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};
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private static final int[][] VERT_INDEXES_TETRA = new int[][]
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{
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{2,1,0}, // counterclockwise!
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{3,0,1},
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{3,2,0},
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{2,3,1}
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};
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private static final double[][] VERTICES_OCTA = new double[][]
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{
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{ 0.5, 0.0, 0.5},
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{ 0.5, 0.0,-0.5},
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{-0.5, 0.0,-0.5},
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{-0.5, 0.0, 0.5},
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{ 0.0, SQ2/2, 0.0},
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{ 0.0,-SQ2/2, 0.0}
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};
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private static final int[][] VERT_INDEXES_OCTA = new int[][]
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{
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{3,0,4}, // counterclockwise!
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{0,1,4},
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{1,2,4},
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{2,3,4},
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{5,0,3},
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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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};
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private static final float[][] STICKERS = new float[][]
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{
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{ -0.4330127f, -0.25f, 0.4330127f, -0.25f, 0.0f, 0.5f }
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};
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private static float[] mRowChances;
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private static final ObjectSticker[] mStickers;
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static
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{
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mStickers = new ObjectSticker[STICKERS.length];
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final float stroke = 0.08f;
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final float radius = 0.06f;
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final float[] radii= {radius,radius,radius};
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mStickers[0] = new ObjectSticker(STICKERS[0],null,radii,stroke);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyPyraminx(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.PYRA, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private float[] getRowChances(int numLayers)
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{
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int total = numLayers*(numLayers+1)/2;
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float running=0.0f;
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float[] chances = new float[numLayers];
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for(int i=0; i<numLayers; i++)
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{
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running += (numLayers-i);
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chances[i] = running / total;
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}
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return chances;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void addTetrahedralLattice(int size, int index, float[][] pos)
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{
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final float DX = 1.0f;
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final float DY = SQ2/2;
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final float DZ = 1.0f;
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float startX = 0.0f;
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float startY =-DY*(size-1)/2;
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float startZ = DZ*(size-1)/2;
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for(int layer=0; layer<size; layer++)
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{
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float currX = startX;
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float currY = startY;
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for(int x=0; x<layer+1; x++)
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{
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float currZ = startZ;
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for(int z=0; z<size-layer; z++)
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{
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pos[index] = new float[] {currX,currY,currZ};
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index++;
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currZ -= DZ;
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}
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currX += DX;
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}
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startX-=DX/2;
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startY+=DY;
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startZ-=DZ/2;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// there are (n^3-n)/6 octahedrons and ((n+1)^3 - (n+1))/6 tetrahedrons
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float[][] getCubitPositions(int size)
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{
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int numOcta = (size-1)*size*(size+1)/6;
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int numTetra= size*(size+1)*(size+2)/6;
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float[][] ret = new float[numOcta+numTetra][];
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addTetrahedralLattice(size-1, 0,ret);
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addTetrahedralLattice(size ,numOcta,ret);
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return ret;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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10585385
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Static4D[] getQuats()
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{
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return QUATS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumFaces()
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{
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return FACE_COLORS.length;
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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 STICKERS.length;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getCuts(int size)
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{
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float[][] cuts = new float[4][size-1];
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for(int i=0; i<size-1; i++)
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{
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float cut = (1.0f-0.25f*size+i)*(SQ6/3);
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cuts[0][i] = cut;
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cuts[1][i] = cut;
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cuts[2][i] = cut;
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cuts[3][i] = cut;
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}
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return cuts;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumCubitFaces()
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{
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return 8;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return SCREEN_RATIO;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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boolean shouldResetTextureMaps()
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{
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return false;
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}
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31cd7256
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int getNumOctahedrons(int numLayers)
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{
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return (numLayers-1)*numLayers*(numLayers+1)/6;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int faceColor(int cubit, int axis)
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| 277 |
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{
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| 278 |
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return CUBITS[cubit].mRotationRow[axis] == 1 ? axis : NUM_FACES;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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| 283 |
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int getFaceColor(int cubit, int cubitface, int size)
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e844c116
|
Leszek Koltunski
|
{
|
| 285 |
ac940e24
|
Leszek Koltunski
|
if( cubit< (size-1)*size*(size+1)/6 )
|
| 286 |
40ab026e
|
Leszek Koltunski
|
{
|
| 287 |
ac940e24
|
Leszek Koltunski
|
switch( cubitface )
|
| 288 |
|
|
{
|
| 289 |
|
|
case 0: return faceColor(cubit,0);
|
| 290 |
|
|
case 2: return faceColor(cubit,1);
|
| 291 |
|
|
case 5: return faceColor(cubit,3);
|
| 292 |
|
|
case 7: return faceColor(cubit,2);
|
| 293 |
|
|
default:return NUM_FACES;
|
| 294 |
|
|
}
|
| 295 |
40ab026e
|
Leszek Koltunski
|
}
|
| 296 |
ac940e24
|
Leszek Koltunski
|
else
|
| 297 |
89a11f7b
|
Leszek Koltunski
|
{
|
| 298 |
ac940e24
|
Leszek Koltunski
|
return cubitface<NUM_FACES ? faceColor(cubit,cubitface) : NUM_FACES;
|
| 299 |
89a11f7b
|
Leszek Koltunski
|
}
|
| 300 |
e844c116
|
Leszek Koltunski
|
}
|
| 301 |
|
|
|
| 302 |
045d8cbd
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 303 |
|
|
|
| 304 |
|
|
ObjectShape getObjectShape(int cubit, int numLayers)
|
| 305 |
|
|
{
|
| 306 |
|
|
int variant = getCubitVariant(cubit,numLayers);
|
| 307 |
|
|
|
| 308 |
|
|
if( variant==0 )
|
| 309 |
|
|
{
|
| 310 |
|
|
int N = numLayers==3? 6 : 5;
|
| 311 |
|
|
int E = numLayers==3? 2 : 1;
|
| 312 |
|
|
float[][] bands = new float[][] { {0.05f,35,0.5f,0.8f,N,E,E} };
|
| 313 |
|
|
int[] bandIndices = new int[] { 0,0,0,0,0,0,0,0 };
|
| 314 |
|
|
float[][] corners = new float[][] { {0.04f,0.20f} };
|
| 315 |
|
|
int[] cornerIndices = new int[] { 0,0,0,0,0,0 };
|
| 316 |
|
|
float[][] centers = new float[][] { {0.0f, 0.0f, 0.0f} };
|
| 317 |
|
|
int[] centerIndices = new int[] { 0,0,0,0,0,0 };
|
| 318 |
|
|
return new ObjectShape(VERTICES_OCTA,VERT_INDEXES_OCTA,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
|
| 319 |
|
|
}
|
| 320 |
|
|
else
|
| 321 |
|
|
{
|
| 322 |
|
|
int N = numLayers==3? 6 : 5;
|
| 323 |
|
|
int E = numLayers==3? 2 : 1;
|
| 324 |
|
|
float[][] bands = new float[][] { {0.05f,35,0.5f,0.8f,N,E,E} };
|
| 325 |
|
|
int[] bandIndices = new int[] { 0,0,0,0 };
|
| 326 |
|
|
float[][] corners = new float[][] { {0.06f,0.15f} };
|
| 327 |
|
|
int[] cornerIndices = new int[] { 0,0,0,0 };
|
| 328 |
|
|
float[][] centers = new float[][] { {0.0f, 0.0f, 0.0f} };
|
| 329 |
|
|
int[] centerIndices = new int[] { 0,0,0,0 };
|
| 330 |
|
|
return new ObjectShape(VERTICES_TETRA,VERT_INDEXES_TETRA,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
|
| 331 |
|
|
}
|
| 332 |
|
|
}
|
| 333 |
|
|
|
| 334 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 335 |
|
|
|
| 336 |
3e605536
|
Leszek Koltunski
|
Static4D getQuat(int cubit, int numLayers)
|
| 337 |
045d8cbd
|
Leszek Koltunski
|
{
|
| 338 |
|
|
return QUATS[0];
|
| 339 |
|
|
}
|
| 340 |
|
|
|
| 341 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 342 |
|
|
|
| 343 |
3e605536
|
Leszek Koltunski
|
int getNumCubitVariants(int numLayers)
|
| 344 |
045d8cbd
|
Leszek Koltunski
|
{
|
| 345 |
|
|
return 2;
|
| 346 |
|
|
}
|
| 347 |
|
|
|
| 348 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 349 |
|
|
|
| 350 |
|
|
int getCubitVariant(int cubit, int numLayers)
|
| 351 |
|
|
{
|
| 352 |
|
|
return cubit<getNumOctahedrons(numLayers) ? 0:1;
|
| 353 |
|
|
}
|
| 354 |
|
|
|
| 355 |
7289fd6c
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 356 |
|
|
|
| 357 |
9c06394a
|
Leszek Koltunski
|
int getColor(int face)
|
| 358 |
7289fd6c
|
Leszek Koltunski
|
{
|
| 359 |
9c06394a
|
Leszek Koltunski
|
return FACE_COLORS[face];
|
| 360 |
|
|
}
|
| 361 |
|
|
|
| 362 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 363 |
76c2bd07
|
Leszek Koltunski
|
|
| 364 |
9c06394a
|
Leszek Koltunski
|
ObjectSticker retSticker(int face)
|
| 365 |
|
|
{
|
| 366 |
|
|
return mStickers[face/NUM_FACES];
|
| 367 |
7289fd6c
|
Leszek Koltunski
|
}
|
| 368 |
|
|
|
| 369 |
fb377dae
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 370 |
7403cdfa
|
Leszek Koltunski
|
// SQ6/3 = height of the tetrahedron
|
| 371 |
fb377dae
|
Leszek Koltunski
|
|
| 372 |
|
|
float returnMultiplier()
|
| 373 |
|
|
{
|
| 374 |
d99f3a48
|
Leszek Koltunski
|
return getNumLayers()/(SQ6/3);
|
| 375 |
fb377dae
|
Leszek Koltunski
|
}
|
| 376 |
|
|
|
| 377 |
e844c116
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 378 |
|
|
// PUBLIC API
|
| 379 |
|
|
|
| 380 |
12ad3fca
|
Leszek Koltunski
|
public Static3D[] getRotationAxis()
|
| 381 |
|
|
{
|
| 382 |
ad38d800
|
Leszek Koltunski
|
return ROT_AXIS;
|
| 383 |
12ad3fca
|
Leszek Koltunski
|
}
|
| 384 |
|
|
|
| 385 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 386 |
|
|
|
| 387 |
925ed78f
|
Leszek Koltunski
|
public int[] getBasicAngle()
|
| 388 |
e844c116
|
Leszek Koltunski
|
{
|
| 389 |
925ed78f
|
Leszek Koltunski
|
return BASIC_ANGLE;
|
| 390 |
e844c116
|
Leszek Koltunski
|
}
|
| 391 |
39e74052
|
Leszek Koltunski
|
|
| 392 |
7c969a6d
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 393 |
|
|
|
| 394 |
9f171eba
|
Leszek Koltunski
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int curr, int total)
|
| 395 |
7c969a6d
|
Leszek Koltunski
|
{
|
| 396 |
0203be88
|
Leszek Koltunski
|
int numLayers = getNumLayers();
|
| 397 |
|
|
|
| 398 |
|
|
if( mRowChances==null ) mRowChances = getRowChances(numLayers);
|
| 399 |
|
|
|
| 400 |
9f171eba
|
Leszek Koltunski
|
if( curr==0 )
|
| 401 |
5cf34c5f
|
Leszek Koltunski
|
{
|
| 402 |
9f171eba
|
Leszek Koltunski
|
scramble[curr][0] = rnd.nextInt(NUM_AXIS);
|
| 403 |
7c969a6d
|
Leszek Koltunski
|
}
|
| 404 |
|
|
else
|
| 405 |
|
|
{
|
| 406 |
3ca97293
|
Leszek Koltunski
|
int newVector = rnd.nextInt(NUM_AXIS-1);
|
| 407 |
9f171eba
|
Leszek Koltunski
|
scramble[curr][0] = (newVector>=scramble[curr-1][0] ? newVector+1 : newVector);
|
| 408 |
3ca97293
|
Leszek Koltunski
|
|
| 409 |
|
|
// Correct the situation when we first rotate the largest layer, then a tip (which doesn't
|
| 410 |
|
|
// intersect anything besides the largest layer!) and then we try to rotate again along
|
| 411 |
|
|
// the same axis like 2 rotations before - which carries the risk we rotate the largest
|
| 412 |
|
|
// layer back to its spot again and the three moves end up being only a single tip rotation.
|
| 413 |
|
|
if( curr>=2 && scramble[curr-1][1]==(numLayers-1) && scramble[curr][0]==scramble[curr-2][0] )
|
| 414 |
|
|
{
|
| 415 |
|
|
for(int ax=0; ax<NUM_AXIS; ax++)
|
| 416 |
|
|
{
|
| 417 |
|
|
if( scramble[curr-1][0]!=ax && scramble[curr-2][0]!=ax )
|
| 418 |
|
|
{
|
| 419 |
|
|
scramble[curr][0]=ax;
|
| 420 |
|
|
break;
|
| 421 |
|
|
}
|
| 422 |
|
|
}
|
| 423 |
|
|
}
|
| 424 |
5cf34c5f
|
Leszek Koltunski
|
}
|
| 425 |
e46e17fb
|
Leszek Koltunski
|
|
| 426 |
7c969a6d
|
Leszek Koltunski
|
float rowFloat = rnd.nextFloat();
|
| 427 |
e46e17fb
|
Leszek Koltunski
|
|
| 428 |
0203be88
|
Leszek Koltunski
|
for(int row=0; row<numLayers; row++)
|
| 429 |
7c969a6d
|
Leszek Koltunski
|
{
|
| 430 |
bbc6471c
|
Leszek Koltunski
|
if( rowFloat<=mRowChances[row] )
|
| 431 |
|
|
{
|
| 432 |
9f171eba
|
Leszek Koltunski
|
scramble[curr][1] = row;
|
| 433 |
bbc6471c
|
Leszek Koltunski
|
break;
|
| 434 |
|
|
}
|
| 435 |
7c969a6d
|
Leszek Koltunski
|
}
|
| 436 |
|
|
|
| 437 |
5043d5d0
|
Leszek Koltunski
|
switch( rnd.nextInt(2) )
|
| 438 |
|
|
{
|
| 439 |
9f171eba
|
Leszek Koltunski
|
case 0: scramble[curr][2] = -1; break;
|
| 440 |
|
|
case 1: scramble[curr][2] = 1; break;
|
| 441 |
5043d5d0
|
Leszek Koltunski
|
}
|
| 442 |
e46e17fb
|
Leszek Koltunski
|
}
|
| 443 |
f0336037
|
Leszek Koltunski
|
|
| 444 |
6b6504fe
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 445 |
|
|
|
| 446 |
|
|
public boolean isSolved()
|
| 447 |
|
|
{
|
| 448 |
|
|
int index = CUBITS[0].mQuatIndex;
|
| 449 |
|
|
|
| 450 |
|
|
for(int i=1; i<NUM_CUBITS; i++)
|
| 451 |
|
|
{
|
| 452 |
722b2512
|
Leszek Koltunski
|
if( thereIsVisibleDifference(CUBITS[i], index) ) return false;
|
| 453 |
6b6504fe
|
Leszek Koltunski
|
}
|
| 454 |
|
|
|
| 455 |
|
|
return true;
|
| 456 |
|
|
}
|
| 457 |
|
|
|
| 458 |
6fd4a72c
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 459 |
|
|
|
| 460 |
|
|
public int getObjectName(int numLayers)
|
| 461 |
|
|
{
|
| 462 |
|
|
switch(numLayers)
|
| 463 |
|
|
{
|
| 464 |
|
|
case 3: return R.string.pyra3;
|
| 465 |
|
|
case 4: return R.string.pyra4;
|
| 466 |
|
|
case 5: return R.string.pyra5;
|
| 467 |
|
|
}
|
| 468 |
|
|
return R.string.pyra3;
|
| 469 |
|
|
}
|
| 470 |
|
|
|
| 471 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 472 |
|
|
|
| 473 |
|
|
public int getInventor(int numLayers)
|
| 474 |
|
|
{
|
| 475 |
|
|
switch(numLayers)
|
| 476 |
|
|
{
|
| 477 |
|
|
case 3: return R.string.pyra3_inventor;
|
| 478 |
|
|
case 4: return R.string.pyra4_inventor;
|
| 479 |
|
|
case 5: return R.string.pyra5_inventor;
|
| 480 |
|
|
}
|
| 481 |
|
|
return R.string.pyra3_inventor;
|
| 482 |
|
|
}
|
| 483 |
|
|
|
| 484 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 485 |
|
|
|
| 486 |
|
|
public int getComplexity(int numLayers)
|
| 487 |
|
|
{
|
| 488 |
|
|
switch(numLayers)
|
| 489 |
|
|
{
|
| 490 |
|
|
case 3: return 4;
|
| 491 |
|
|
case 4: return 6;
|
| 492 |
|
|
case 5: return 8;
|
| 493 |
|
|
}
|
| 494 |
|
|
return 4;
|
| 495 |
|
|
}
|
| 496 |
e844c116
|
Leszek Koltunski
|
}
|