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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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package org.distorted.objects;
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import android.content.res.Resources;
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import org.distorted.helpers.FactoryCubit;
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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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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 java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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class TwistyCube extends TwistyObject
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{
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// the three rotation axis of a RubikCube. Must be normalized.
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D(1,0,0),
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new Static3D(0,1,0),
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new Static3D(0,0,1)
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};
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private static final int[] BASIC_ANGLE = new int[] { 4,4,4 };
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private static final int[] FACE_COLORS = new int[]
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{
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COLOR_YELLOW, COLOR_WHITE,
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COLOR_BLUE , COLOR_GREEN,
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COLOR_RED , COLOR_ORANGE
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};
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// All legal rotation quats of a RubikCube of any size.
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// Here's how to compute this:
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// 1) compute how many rotations there are (RubikCube of any size = 24)
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// 2) take the AXIS, angles of rotation (90 in RubikCube's case) compute the basic quaternions
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// (i.e. rotations of 1 basic angle along each of the axis) and from there start semi-randomly
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// multiplying them and eventually you'll find all (24) legal rotations.
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// Example program in C, res/raw/compute_quats.c , is included.
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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( 1.0f, 0.0f, 0.0f, 0.0f),
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new Static4D( 0.0f, 1.0f, 0.0f, 0.0f),
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new Static4D( 0.0f, 0.0f, 1.0f, 0.0f),
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new Static4D( SQ2/2, SQ2/2, 0.0f , 0.0f),
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new Static4D( SQ2/2, -SQ2/2, 0.0f , 0.0f),
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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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new Static4D( SQ2/2, 0.0f, 0.0f, SQ2/2),
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new Static4D( SQ2/2, 0.0f, 0.0f, -SQ2/2),
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new Static4D( 0.0f, SQ2/2, SQ2/2, 0.0f),
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new Static4D( 0.0f, SQ2/2, -SQ2/2, 0.0f),
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new Static4D( 0.0f, SQ2/2, 0.0f, SQ2/2),
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new Static4D( 0.0f, SQ2/2, 0.0f, -SQ2/2),
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new Static4D( 0.0f, 0.0f, SQ2/2, SQ2/2),
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new Static4D( 0.0f, 0.0f, SQ2/2, -SQ2/2),
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new Static4D( 0.5f, 0.5f, 0.5f, 0.5f),
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new Static4D( 0.5f, 0.5f, -0.5f, 0.5f),
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new Static4D( 0.5f, 0.5f, -0.5f, -0.5f),
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new Static4D( 0.5f, -0.5f, 0.5f, -0.5f),
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new Static4D( -0.5f, -0.5f, -0.5f, 0.5f),
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new Static4D( -0.5f, 0.5f, -0.5f, -0.5f),
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new Static4D( -0.5f, 0.5f, 0.5f, -0.5f),
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new Static4D( -0.5f, 0.5f, 0.5f, 0.5f)
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};
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private static final double[][] VERTICES = new double[][]
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{
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{ 0.5, 0.5, 0.5 },
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{ 0.5, 0.5,-0.5 },
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{ 0.5,-0.5, 0.5 },
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{ 0.5,-0.5,-0.5 },
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{-0.5, 0.5, 0.5 },
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{-0.5, 0.5,-0.5 },
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{-0.5,-0.5, 0.5 },
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{-0.5,-0.5,-0.5 },
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};
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private static final int[][] VERT_INDEXES = new int[][]
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{
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{2,3,1,0}, // counterclockwise!
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{7,6,4,5},
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{4,0,1,5},
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{7,3,2,6},
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{6,2,0,4},
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{3,7,5,1}
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};
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private static final float[][] STICKERS = new float[][]
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{
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{ -0.5f, -0.5f, 0.5f, -0.5f, 0.5f, 0.5f, -0.5f, 0.5f }
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};
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private static final ObjectSticker[] mStickers;
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private static MeshBase[] mMeshes;
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static
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{
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final float radius = 0.10f;
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final float stroke = 0.08f;
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final float[] radii = {radius,radius,radius,radius};
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mStickers = new ObjectSticker[STICKERS.length];
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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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TwistyCube(int size, Static4D quat, DistortedTexture texture,
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MeshSquare mesh, 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.CUBE, res, scrWidth);
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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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if( mMeshes==null )
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{
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FactoryCubit factory = FactoryCubit.getInstance();
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factory.clear();
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mMeshes = new MeshBase[ObjectList.CUBE.getNumVariants()];
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}
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int ordinal= ObjectList.CUBE.ordinal();
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int index = ObjectList.getSizeIndex(ordinal,getNumLayers());
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if( mMeshes[index]==null )
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{
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int extraI, extraV, num;
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float height;
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switch(numLayers)
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{
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case 2 : num = 6; extraI = 2; extraV = 2; height = 0.045f; break;
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case 3 : num = 5; extraI = 2; extraV = 2; height = 0.045f; break;
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case 4 : num = 5; extraI = 1; extraV = 1; height = 0.045f; break;
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default: num = 5; extraI = 0; extraV = 0; height = 0.045f; break;
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}
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float[][] bands = new float[][] { {height,35,0.5f,0.7f,num,extraI,extraV} };
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int[] bandIndexes = new int[] { 0,0,0,0,0,0};
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float[][] corners = new float[][] { {0.036f,0.12f} };
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int[] cornerIndexes = new int[] { 0,0,0,0,0,0,0,0 };
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float[][] centers = new float[][] { {0.0f, 0.0f, 0.0f} };
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int[] centerIndexes = new int[] { 0,0,0,0,0,0,0,0 };
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FactoryCubit factory = FactoryCubit.getInstance();
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factory.createNewFaceTransform(VERTICES,VERT_INDEXES);
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mMeshes[index] = factory.createRoundedSolid(VERTICES, VERT_INDEXES,
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bands, bandIndexes,
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corners, cornerIndexes,
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centers, centerIndexes,
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getNumCubitFaces(), null );
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}
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return mMeshes[index].copy(true);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getColor(int face)
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{
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return FACE_COLORS[face];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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ObjectSticker retSticker(int face)
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{
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return mStickers[face/NUM_FACES];
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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 numCubits = numLayers>1 ? 6*numLayers*numLayers - 12*numLayers + 8 : 1;
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float[][] tmp = new float[numCubits][];
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float diff = 0.5f*(numLayers-1);
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int currentPosition = 0;
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for(int x = 0; x<numLayers; x++)
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for(int y = 0; y<numLayers; y++)
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for(int z = 0; z<numLayers; z++)
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if( x==0 || x==numLayers-1 || y==0 || y==numLayers-1 || z==0 || z==numLayers-1 )
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{
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tmp[currentPosition++] = new float[] {x-diff,y-diff,z-diff};
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}
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return tmp;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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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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boolean shouldResetTextureMaps()
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{
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return false;
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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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float[][] getCuts(int numLayers)
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{
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float[][] cuts = new float[3][numLayers-1];
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for(int i=0; i<numLayers-1; i++)
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{
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float cut = (2-numLayers)*0.5f + i;
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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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}
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return cuts;
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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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270
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int getNumCubitFaces()
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{
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return FACE_COLORS.length;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 0.5f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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284
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int getFaceColor(int cubit, int cubitface, int size)
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{
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return CUBITS[cubit].mRotationRow[cubitface/2] == (cubitface%2==0 ? (1<<(size-1)):1) ? cubitface : NUM_FACES;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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291
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float returnMultiplier()
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{
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return getNumLayers();
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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299
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public Static3D[] getRotationAxis()
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{
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return ROT_AXIS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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306
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public int[] getBasicAngle()
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{
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return BASIC_ANGLE;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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313
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314
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public void randomizeNewScramble(int[][] scramble, Random rnd, int curr, int total)
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{
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316
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if( curr==0 )
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{
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scramble[curr][0] = rnd.nextInt(NUM_AXIS);
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}
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else
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{
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int newVector = rnd.nextInt(NUM_AXIS-1);
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scramble[curr][0] = (newVector>=scramble[curr-1][0] ? newVector+1 : newVector);
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324
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325
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// All three axis must be present among every four consecutive rotations.
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// Otherwise in case of odd-sized cubes we can get four consecutive rotations
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// that collapse to a NOP
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// (X,midLayer,180)->(Y,midLayer,180)->(X,midLayer,180)->(Y,midLayer,180) = NOP
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329
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if( curr>=3 && scramble[curr-1][0]==scramble[curr-3][0] )
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330
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{
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for( int ax=0; ax<NUM_AXIS; ax++)
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332
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{
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if( scramble[curr-1][0]!=ax && scramble[curr-2][0]!=ax )
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334
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{
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335
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scramble[curr][0] = ax;
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336
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break;
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337
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}
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338
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}
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339
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}
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340
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}
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341
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342
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float rowFloat = rnd.nextFloat();
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343
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int numLayers = getNumLayers();
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344
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345
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for(int row=0; row<numLayers; row++)
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346
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{
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347
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if( rowFloat*numLayers <= row+1 )
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348
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{
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349
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scramble[curr][1] = row;
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350
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break;
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351
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}
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352
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}
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353
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354
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switch( rnd.nextInt(4) )
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355
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{
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356
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case 0: scramble[curr][2] = -2; break;
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357
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case 1: scramble[curr][2] = -1; break;
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358
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case 2: scramble[curr][2] = 1; break;
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359
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case 3: scramble[curr][2] = 2; break;
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360
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}
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361
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}
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362
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363
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///////////////////////////////////////////////////////////////////////////////////////////////////
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364
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|
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365
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public boolean isSolved()
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366
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{
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367
|
int index = CUBITS[0].mQuatIndex;
|
|
368
|
|
|
369
|
for(int i=1; i<NUM_CUBITS; i++)
|
|
370
|
{
|
|
371
|
if( thereIsVisibleDifference(CUBITS[i], index) ) return false;
|
|
372
|
}
|
|
373
|
|
|
374
|
return true;
|
|
375
|
}
|
|
376
|
|
|
377
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
378
|
|
|
379
|
public int getObjectName(int numLayers)
|
|
380
|
{
|
|
381
|
switch(numLayers)
|
|
382
|
{
|
|
383
|
case 2: return R.string.cube2;
|
|
384
|
case 3: return R.string.cube3;
|
|
385
|
case 4: return R.string.cube4;
|
|
386
|
case 5: return R.string.cube5;
|
|
387
|
}
|
|
388
|
return R.string.cube3;
|
|
389
|
}
|
|
390
|
|
|
391
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
392
|
|
|
393
|
public int getInventor(int numLayers)
|
|
394
|
{
|
|
395
|
switch(numLayers)
|
|
396
|
{
|
|
397
|
case 2: return R.string.cube2_inventor;
|
|
398
|
case 3: return R.string.cube3_inventor;
|
|
399
|
case 4: return R.string.cube4_inventor;
|
|
400
|
case 5: return R.string.cube5_inventor;
|
|
401
|
}
|
|
402
|
return R.string.cube3_inventor;
|
|
403
|
}
|
|
404
|
|
|
405
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
406
|
|
|
407
|
public int getComplexity(int numLayers)
|
|
408
|
{
|
|
409
|
switch(numLayers)
|
|
410
|
{
|
|
411
|
case 2: return 4;
|
|
412
|
case 3: return 6;
|
|
413
|
case 4: return 8;
|
|
414
|
case 5: return 10;
|
|
415
|
}
|
|
416
|
return 6;
|
|
417
|
}
|
|
418
|
}
|