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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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Leszek Koltunski
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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.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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import java.util.Random;
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import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyPyraminx extends TwistyObject
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{
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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[] 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 MeshBase mOctaMesh, mTetraMesh;
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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, 30, quat, texture, mesh, effects, moves, ObjectList.PYRA, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void addTetrahedralLattice(int size, int index, Static3D[] 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 Static3D(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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Static3D[] 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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Static3D[] ret = new Static3D[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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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()
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{
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return 1;
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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[size-1];
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for(int i=0; i<size-1; i++)
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{
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cuts[i] = (1.0f-0.25f*size+i)*(SQ6/3);
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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 0.82f;
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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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private int faceColor(int cubit, int axis)
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{
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float row = CUBITS[cubit].mRotationRow[axis];
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return row*row < 0.1f ? axis : NUM_FACES;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getFaceColor(int cubit, int cubitface, int size)
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{
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if( cubit< (size-1)*size*(size+1)/6 )
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{
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switch( cubitface )
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{
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case 0: return faceColor(cubit,0);
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case 2: return faceColor(cubit,1);
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case 5: return faceColor(cubit,3);
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case 7: return faceColor(cubit,2);
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default:return NUM_FACES;
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}
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}
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else
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{
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return cubitface<NUM_FACES ? faceColor(cubit,cubitface) : NUM_FACES;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createCubitMesh(int cubit)
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{
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int numLayers = getNumLayers();
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if( cubit< (numLayers-1)*numLayers*(numLayers+1)/6 )
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{
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if( mOctaMesh==null ) mOctaMesh = FactoryCubit.getInstance().createOctaMesh();
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return mOctaMesh.copy(true);
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}
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else
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{
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if( mTetraMesh==null ) mTetraMesh = FactoryCubit.getInstance().createTetraMesh();
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return mTetraMesh.copy(true);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
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{
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float E = 0.75f;
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float F = 0.50f;
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float R = 0.06f;
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float S = 0.08f;
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float[] vertices = { -F,-E/3, +F,-E/3, 0.0f,2*E/3};
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FactorySticker factory = FactorySticker.getInstance();
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factory.drawRoundedPolygon(canvas, paint, left, top, vertices, S, FACE_COLORS[face], R);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// SQ6/3 = height of the tetrahedron
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float returnMultiplier()
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{
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return getNumLayers()/(SQ6/3);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getRowChances()
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| 264 |
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{
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| 265 |
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int numLayers = getNumLayers();
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int total = numLayers*(numLayers+1)/2;
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| 267 |
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float running=0.0f;
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| 268 |
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float[] chances = new float[numLayers];
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| 269 |
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for(int i=0; i<numLayers; i++)
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{
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| 272 |
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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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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// PUBLIC API
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Leszek Koltunski
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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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Leszek Koltunski
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public int getBasicAngle()
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{
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return 3;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int randomizeNewRotAxis(Random rnd, int oldRotAxis)
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{
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int numAxis = ROTATION_AXIS.length;
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if( oldRotAxis == START_AXIS )
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{
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return rnd.nextInt(numAxis);
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}
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else
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{
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int newVector = rnd.nextInt(numAxis-1);
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return (newVector>=oldRotAxis ? newVector+1 : newVector);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int randomizeNewRow(Random rnd, int oldRotAxis, int oldRow, int newRotAxis)
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Leszek Koltunski
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{
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float rowFloat = rnd.nextFloat();
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for(int row=0; row<mRowChances.length; row++)
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{
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if( rowFloat<=mRowChances[row] ) return row;
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}
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return 0;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public boolean isSolved()
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{
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int index = CUBITS[0].mQuatIndex;
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for(int i=1; i<NUM_CUBITS; i++)
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{
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if( !thereIsNoVisibleDifference(CUBITS[i], index) ) return false;
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}
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return true;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// return if the Cubit, when rotated with its own mQuatScramble, would have looked any different
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// then if it were rotated by quaternion 'quat'.
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// No it is not so simple as the quats need to be the same - imagine a 4x4x4 cube where the two
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// middle squares get interchanged. No visible difference!
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//
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// So: this is true iff the cubit
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// a) is a corner or edge and the quaternions are the same
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// b) is inside one of the faces and after rotations by both quats it ends up on the same face.
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private boolean thereIsNoVisibleDifference(Cubit cubit, int quatIndex)
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{
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if ( cubit.mQuatIndex == quatIndex ) return true;
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int belongsToHowManyFaces = 0;
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int numLayers = getNumLayers()-1;
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float row;
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final float MAX_ERROR = 0.01f;
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for(int i=0; i<NUM_AXIS; i++)
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{
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row = cubit.mRotationRow[i];
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if( (row <MAX_ERROR && row >-MAX_ERROR) ||
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(row-numLayers<MAX_ERROR && row-numLayers>-MAX_ERROR) ) belongsToHowManyFaces++;
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}
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switch(belongsToHowManyFaces)
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{
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case 0 : return true ; // 'inside' cubit that does not lie on any face
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case 1 : // cubit that lies inside one of the faces
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Static3D orig = cubit.getOrigPosition();
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Static4D quat1 = QUATS[quatIndex];
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Static4D quat2 = QUATS[cubit.mQuatIndex];
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Static4D cubitCenter = new Static4D( orig.get0(), orig.get1(), orig.get2(), 0);
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Static4D rotated1 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat1 );
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Static4D rotated2 = RubikSurfaceView.rotateVectorByQuat( cubitCenter, quat2 );
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float row1, row2;
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float x1 = rotated1.get0();
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float y1 = rotated1.get1();
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float z1 = rotated1.get2();
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float x2 = rotated2.get0();
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float y2 = rotated2.get1();
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float z2 = rotated2.get2();
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for(int i=0; i<NUM_AXIS; i++)
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{
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Leszek Koltunski
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row1 = computeRow(x1,y1,z1,i);
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row2 = computeRow(x2,y2,z2,i);
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if( (row1==0 && row2==0) || (row1==numLayers && row2==numLayers) ) return true;
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Leszek Koltunski
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}
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return false;
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default: return false; // edge or corner
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}
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}
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f0336037
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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ee35e63c
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Leszek Koltunski
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// only needed for solvers - there are no Pyraminx solvers ATM)
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public String retObjectString()
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f0336037
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Leszek Koltunski
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{
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return "";
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}
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6fd4a72c
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Leszek Koltunski
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int getObjectName(int numLayers)
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{
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switch(numLayers)
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{
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case 3: return R.string.pyra3;
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case 4: return R.string.pyra4;
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case 5: return R.string.pyra5;
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}
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return R.string.pyra3;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public int getInventor(int numLayers)
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{
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switch(numLayers)
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{
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case 3: return R.string.pyra3_inventor;
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case 4: return R.string.pyra4_inventor;
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case 5: return R.string.pyra5_inventor;
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}
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return R.string.pyra3_inventor;
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}
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| 431 |
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///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 433 |
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| 434 |
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public int getComplexity(int numLayers)
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| 435 |
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{
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switch(numLayers)
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{
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case 3: return 4;
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case 4: return 6;
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case 5: return 8;
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}
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| 442 |
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return 4;
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| 443 |
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}
|
| 444 |
e844c116
|
Leszek Koltunski
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}
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