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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 android.graphics.Canvas;
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import android.graphics.Paint;
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import org.distorted.library.effect.VertexEffectDeform;
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import org.distorted.library.effect.VertexEffectMove;
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import org.distorted.library.effect.VertexEffectRotate;
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import org.distorted.library.effect.VertexEffectScale;
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import org.distorted.library.effect.VertexEffectSink;
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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.MeshJoined;
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import org.distorted.library.mesh.MeshRectangles;
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import org.distorted.library.mesh.MeshTriangles;
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import org.distorted.library.type.Static1D;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class RubikPyraminx extends RubikObject
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{
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private static final float SQ2 = (float)Math.sqrt(2);
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private static final float SQ3 = (float)Math.sqrt(3);
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private static final float SQ6 = (float)Math.sqrt(6);
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( 0, 1, 0 ),
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new Static3D( 0, -1.0f/3, 2*SQ2/3 ),
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new Static3D(-SQ2*SQ3/3, -1.0f/3, -SQ2/3 ),
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new Static3D( SQ2*SQ3/3, -1.0f/3, -SQ2/3 )
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};
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static final Static3D[] FACE_AXIS = new Static3D[]
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{
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new Static3D( 0, -1, 0 ),
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new Static3D( 0, 1.0f/3,-2*SQ2/3 ),
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new Static3D( SQ2*SQ3/3, 1.0f/3, SQ2/3 ),
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new Static3D(-SQ2*SQ3/3, 1.0f/3, SQ2/3 )
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};
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private static final int[] FACE_COLORS = new int[]
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{
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0xff00ff00, 0xffffff00, // FACE_AXIS[0] (GREEN ) FACE_AXIS[1] (YELLOW )
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0xff0000ff, 0xffff0000 // FACE_AXIS[2] (BLUE ) FACE_AXIS[3] (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, SQ3/2, 0.0f, 0.5f),
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new Static4D( SQ2/2, -SQ3/6, -SQ6/6, 0.5f),
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new Static4D(-SQ2/2, -SQ3/6, -SQ6/6, 0.5f),
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new Static4D( 0.0f, -SQ3/6, SQ6/3, 0.5f),
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new Static4D( 0.0f, SQ3/2, 0.0f, -0.5f),
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new Static4D( SQ2/2, -SQ3/6, -SQ6/6, -0.5f),
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new Static4D(-SQ2/2, -SQ3/6, -SQ6/6, -0.5f),
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new Static4D( 0.0f, -SQ3/6, SQ6/3, -0.5f),
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new Static4D( SQ2/2, -SQ3/3, SQ6/6, 0.0f),
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new Static4D( 0.0f, -SQ3/3, -SQ6/3, 0.0f),
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new Static4D(-SQ2/2, -SQ3/3, SQ6/6, 0.0f)
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};
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private int[] mRotArray;
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private static VertexEffectRotate[] ROTATION;
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private static MeshBase mMesh =null;
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private static MeshBase[] mMeshRotated = new MeshBase[ROT_AXIS.length];
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static
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{
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Static3D center = new Static3D(0,0,0);
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Static1D angle = new Static1D(180.0f);
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ROTATION = new VertexEffectRotate[ROT_AXIS.length];
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for(int i = 0; i< ROT_AXIS.length; i++)
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{
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ROTATION[i] = new VertexEffectRotate( angle, ROT_AXIS[i], center);
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mMeshRotated[i] = null;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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RubikPyraminx(int size, Static4D quat, DistortedTexture texture,
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MeshRectangles mesh, DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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{
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super(size, 30, quat, texture, mesh, effects, moves, RubikObjectList.PYRA, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private void emitRow(float x, float y, float z, float dx, float dy, float dz, int n, int rot, Static3D[] array, int index)
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{
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for(int i=0; i<n; i++)
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{
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mRotArray[i+index] = rot;
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array[i+index] = new Static3D(x+0.5f,y+SQ2*SQ3/12,z+SQ3/6);
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x += dx;
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y += dy;
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z += dz;
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int emitLowermost(float x, float y, float z, int n, Static3D[] array)
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{
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int added = 0;
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emitRow( x +0.5f, y+SQ3*SQ2/9, z+ SQ3/18, 1.0f, 0, 0, n-1, 1, array, added);
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added += (n-1);
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emitRow( x +1.0f/3, y+SQ3*SQ2/9, z+2*SQ3/9, 0.5f, 0, SQ3/2, n-1, 3, array, added);
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added += (n-1);
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emitRow( x+n-1-1.0f/3, y+SQ3*SQ2/9, z+2*SQ3/9, -0.5f, 0, SQ3/2, n-1, 2, array, added);
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added += (n-1);
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for(int i=n; i>=1; i--)
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{
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emitRow(x , y, z , 1,0,0, i , -1, array, added);
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added += i;
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emitRow(x+0.5f, y, z+SQ3/6, 1,0,0, i-1, 0, array, added);
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added += (i-1);
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x += 0.5f;
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y += 0.0f;
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z += SQ3/2;
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}
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return added;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private int emitUpper(float x, float y, float z, int n, Static3D[] array, int index)
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{
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if( n>1 )
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{
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emitRow( x , y , z , 1.0f, 0, 0, n-1, -1, array, index);
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index += (n-1);
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emitRow( x+0.5f , y+SQ3*SQ2/9, z+SQ3/18 , 1.0f, 0, 0, n-1, 1, array, index);
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index += (n-1);
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emitRow( x+0.5f , y , z+SQ3/2 , 0.5f, 0, SQ3/2, n-1, -1, array, index);
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index += (n-1);
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emitRow( x +1.0f/3, y+SQ3*SQ2/9, z+2*SQ3/9, 0.5f, 0, SQ3/2, n-1, 3, array, index);
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index += (n-1);
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emitRow( x+n-1 , y , z , -0.5f, 0, SQ3/2, n-1, -1, array, index);
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index += (n-1);
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emitRow( x+n-1-1.0f/3, y+SQ3*SQ2/9, z+2*SQ3/9, -0.5f, 0, SQ3/2, n-1, 2, array, index);
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index += (n-1);
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}
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else
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{
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mRotArray[index] = -1;
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array[index] = new Static3D(x+0.5f,y+SQ2*SQ3/12,z+SQ3/6);
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index++;
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}
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return index;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// size^2 + 3*(size-1) in the lowermost layer, then 6*(size-2) in the next, 6*(size-3) in the next,
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// ... 6 in the forelast, 1 in the last = 4size^2 - 6size +4 (if size>1)
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Static3D[] getCubitPositions(int size)
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{
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int numCubits = size>1 ? 4*size*size - 6*size +4 : 1;
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Static3D[] tmp = new Static3D[numCubits];
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mRotArray = new int[numCubits];
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int currentIndex = emitLowermost( -0.5f*size, -(SQ2*SQ3/12)*size, -(SQ3/6)*size, size, tmp);
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for(int i=size-1; i>=1; i--)
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{
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currentIndex = emitUpper( -0.5f*i, ((SQ2*SQ3)/12)*(3*size-4*i), -(SQ3/6)*i, i, tmp, currentIndex);
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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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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 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 0.82f;
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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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boolean belongs = isOnFace(cubit, cubitface, 0 );
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return belongs ? cubitface : NUM_FACES;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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private MeshBase createStaticMesh(int cubit)
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{
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final float SQ2 = (float)Math.sqrt(2);
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final float SQ3 = (float)Math.sqrt(3);
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final float angleFaces = (float)((180/Math.PI)*(2*Math.asin(SQ3/3))); // angle between two faces of a tetrahedron
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final int MESHES=4;
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int association = 1;
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MeshBase[] meshes = new MeshTriangles[MESHES];
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meshes[0] = new MeshTriangles(9);
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meshes[0].setEffectAssociation(0,association,0);
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for(int i=1; i<MESHES; i++)
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{
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association <<= 1;
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meshes[i] = meshes[0].copy(true);
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meshes[i].setEffectAssociation(0,association,0);
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}
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MeshBase result = new MeshJoined(meshes);
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Static3D a0 = new Static3D( 0, 1, 0 );
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Static3D a1 = new Static3D( 0, -1.0f/3, 2*SQ2/3 );
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Static3D a2 = new Static3D(-SQ2*SQ3/3, -1.0f/3, -SQ2/3 );
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Static3D a3 = new Static3D( SQ2*SQ3/3, -1.0f/3, -SQ2/3 );
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float tetraHeight = SQ2*SQ3/3;
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float d1 = 0.75f*tetraHeight;
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float d2 =-0.10f*tetraHeight;
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float d3 = 0.20f*tetraHeight;
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Static3D dCen0 = new Static3D( d1*a0.get0(), d1*a0.get1(), d1*a0.get2() );
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Static3D dCen1 = new Static3D( d1*a1.get0(), d1*a1.get1(), d1*a1.get2() );
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Static3D dCen2 = new Static3D( d1*a2.get0(), d1*a2.get1(), d1*a2.get2() );
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Static3D dCen3 = new Static3D( d1*a3.get0(), d1*a3.get1(), d1*a3.get2() );
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Static3D dVec0 = new Static3D( d2*a0.get0(), d2*a0.get1(), d2*a0.get2() );
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Static3D dVec1 = new Static3D( d2*a1.get0(), d2*a1.get1(), d2*a1.get2() );
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Static3D dVec2 = new Static3D( d2*a2.get0(), d2*a2.get1(), d2*a2.get2() );
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Static3D dVec3 = new Static3D( d2*a3.get0(), d2*a3.get1(), d2*a3.get2() );
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Static4D dReg = new Static4D(0,0,0,d3);
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Static1D dRad = new Static1D(1);
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Static1D angle = new Static1D(angleFaces);
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Static3D axis1 = new Static3D( -1, 0, 0);
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Static3D axis2 = new Static3D(0.5f, 0, -SQ3/2);
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Static3D axis3 = new Static3D(0.5f, 0, +SQ3/2);
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Static3D center1= new Static3D(0,-SQ3*SQ2/12,-SQ3/6);
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Static3D center2= new Static3D(0,-SQ3*SQ2/12,+SQ3/3);
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Static3D center = new Static3D(0,0,0);
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Static4D region = new Static4D(0,0,0,0.6f);
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VertexEffectScale effect1 = new VertexEffectScale ( new Static3D(1,SQ3/2,1) );
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VertexEffectRotate effect2 = new VertexEffectRotate( new Static1D(90), new Static3D(1,0,0), new Static3D(0,0,0) );
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VertexEffectMove effect3 = new VertexEffectMove ( new Static3D(0,-SQ3*SQ2/12,SQ3/12) );
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VertexEffectRotate effect4 = new VertexEffectRotate( new Static1D(180), new Static3D(0,0,1), center1 );
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VertexEffectRotate effect5 = new VertexEffectRotate( angle, axis1, center1 );
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VertexEffectRotate effect6 = new VertexEffectRotate( angle, axis2, center2 );
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VertexEffectRotate effect7 = new VertexEffectRotate( angle, axis3, center2 );
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VertexEffectDeform effect8 = new VertexEffectDeform(dVec0, dRad, dCen0, dReg);
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VertexEffectDeform effect9 = new VertexEffectDeform(dVec1, dRad, dCen1, dReg);
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VertexEffectDeform effect10= new VertexEffectDeform(dVec2, dRad, dCen2, dReg);
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VertexEffectDeform effect11= new VertexEffectDeform(dVec3, dRad, dCen3, dReg);
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VertexEffectSink effect12= new VertexEffectSink( new Static1D(1.3f), center, region );
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effect4.setMeshAssociation(14,-1); // apply to mesh[1], [2] and [3]
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effect5.setMeshAssociation( 2,-1); // apply only to mesh[1]
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316
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effect6.setMeshAssociation( 4,-1); // apply only to mesh[2]
|
|
317
|
effect7.setMeshAssociation( 8,-1); // apply only to mesh[3]
|
|
318
|
|
|
319
|
result.apply(effect1);
|
|
320
|
result.apply(effect2);
|
|
321
|
result.apply(effect3);
|
|
322
|
result.apply(effect4);
|
|
323
|
result.apply(effect5);
|
|
324
|
result.apply(effect6);
|
|
325
|
result.apply(effect7);
|
|
326
|
result.apply(effect8);
|
|
327
|
result.apply(effect9);
|
|
328
|
result.apply(effect10);
|
|
329
|
result.apply(effect11);
|
|
330
|
result.apply(effect12);
|
|
331
|
|
|
332
|
if( mRotArray[cubit]>=0 )
|
|
333
|
{
|
|
334
|
result.apply( ROTATION[mRotArray[cubit]] );
|
|
335
|
}
|
|
336
|
|
|
337
|
result.mergeEffComponents();
|
|
338
|
|
|
339
|
return result;
|
|
340
|
}
|
|
341
|
|
|
342
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
343
|
|
|
344
|
MeshBase createCubitMesh(int cubit)
|
|
345
|
{
|
|
346
|
int kind = mRotArray[cubit];
|
|
347
|
|
|
348
|
if( kind>=0 )
|
|
349
|
{
|
|
350
|
if( mMeshRotated[kind]==null ) mMeshRotated[kind] = createStaticMesh(cubit);
|
|
351
|
return mMeshRotated[kind].copy(true);
|
|
352
|
}
|
|
353
|
else
|
|
354
|
{
|
|
355
|
if( mMesh==null ) mMesh = createStaticMesh(cubit);
|
|
356
|
return mMesh.copy(true);
|
|
357
|
}
|
|
358
|
}
|
|
359
|
|
|
360
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
361
|
|
|
362
|
void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top, int side)
|
|
363
|
{
|
|
364
|
float STROKE = 0.06f*side;
|
|
365
|
float OFF = STROKE/2 -1;
|
|
366
|
float OFF2 = 0.5f*side + OFF;
|
|
367
|
float HEIGHT = side - OFF;
|
|
368
|
float RADIUS = side/12.0f;
|
|
369
|
float ARC1_H = 0.2f*side;
|
|
370
|
float ARC1_W = side*0.5f;
|
|
371
|
float ARC2_W = 0.153f*side;
|
|
372
|
float ARC2_H = 0.905f*side;
|
|
373
|
float ARC3_W = side-ARC2_W;
|
|
374
|
|
|
375
|
paint.setAntiAlias(true);
|
|
376
|
paint.setStrokeWidth(STROKE);
|
|
377
|
paint.setColor(FACE_COLORS[face]);
|
|
378
|
paint.setStyle(Paint.Style.FILL);
|
|
379
|
|
|
380
|
canvas.drawRect(left,top,left+side,top+side,paint);
|
|
381
|
|
|
382
|
paint.setColor(INTERIOR_COLOR);
|
|
383
|
paint.setStyle(Paint.Style.STROKE);
|
|
384
|
|
|
385
|
canvas.drawLine( left, HEIGHT, side +left, HEIGHT, paint);
|
|
386
|
canvas.drawLine( OFF +left, side , OFF2 +left, 0, paint);
|
|
387
|
canvas.drawLine((side-OFF)+left, side , (side-OFF2) +left, 0, paint);
|
|
388
|
|
|
389
|
canvas.drawArc( ARC1_W-RADIUS+left, ARC1_H-RADIUS, ARC1_W+RADIUS+left, ARC1_H+RADIUS, 225, 90, false, paint);
|
|
390
|
canvas.drawArc( ARC2_W-RADIUS+left, ARC2_H-RADIUS, ARC2_W+RADIUS+left, ARC2_H+RADIUS, 105, 90, false, paint);
|
|
391
|
canvas.drawArc( ARC3_W-RADIUS+left, ARC2_H-RADIUS, ARC3_W+RADIUS+left, ARC2_H+RADIUS, 345, 90, false, paint);
|
|
392
|
}
|
|
393
|
|
|
394
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
395
|
// PUBLIC API
|
|
396
|
|
|
397
|
public Static3D[] getRotationAxis()
|
|
398
|
{
|
|
399
|
return ROT_AXIS;
|
|
400
|
}
|
|
401
|
|
|
402
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
403
|
|
|
404
|
public int getBasicAngle()
|
|
405
|
{
|
|
406
|
return 3;
|
|
407
|
}
|
|
408
|
|
|
409
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
410
|
// I don't quite understand it, but 0.82 works better than the theoretically correct SQ3/2 ( 0.866 )
|
|
411
|
|
|
412
|
public float returnMultiplier()
|
|
413
|
{
|
|
414
|
return getSize()/0.82f;//(SQ3/2);
|
|
415
|
}
|
|
416
|
|
|
417
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
418
|
|
|
419
|
public float[] getRowChances()
|
|
420
|
{
|
|
421
|
int size = getSize();
|
|
422
|
int total = size*(size+1)/2;
|
|
423
|
float running=0.0f;
|
|
424
|
float[] chances = new float[size];
|
|
425
|
|
|
426
|
for(int i=0; i<size; i++)
|
|
427
|
{
|
|
428
|
running += (size-i);
|
|
429
|
chances[i] = running / total;
|
|
430
|
}
|
|
431
|
|
|
432
|
return chances;
|
|
433
|
}
|
|
434
|
|
|
435
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
436
|
|
|
437
|
public float returnRotationFactor(float offset)
|
|
438
|
{
|
|
439
|
int size = getSize();
|
|
440
|
int row = (int)(size*offset/(SQ3/2));
|
|
441
|
|
|
442
|
return ((float)size)/(size-row);
|
|
443
|
}
|
|
444
|
|
|
445
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
446
|
// TODO (only needed for solvers - there are no Pyraminx solvers ATM)
|
|
447
|
|
|
448
|
public String retObjectString()
|
|
449
|
{
|
|
450
|
return "";
|
|
451
|
}
|
|
452
|
}
|