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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2021 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.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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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 TwistyJing extends TwistyObject
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{
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static final float F = 0.24f; // length of the edge of the corner cubit divided by
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// the length of the edge of the whole tetrahedron.
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// keep < 0.25.
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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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private static final int[] ROT_QUAT = {0,1,2,7,0,2,7,6,3,10,0,1,3,5};
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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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static final float[][] CENTERS = new float[][]
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{
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{ 0.000f, -SQ2/4, 0.500f },
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{ 0.000f, -SQ2/4,-0.500f },
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{-0.500f, SQ2/4, 0.000f },
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{ 0.500f, SQ2/4, 0.000f },
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{ 0.000f, -SQ2/4, 0.000f },
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{-0.250f, 0.000f, 0.250f },
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{ 0.250f, 0.000f, 0.250f },
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{-0.250f, 0.000f,-0.250f },
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{ 0.250f, 0.000f,-0.250f },
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{ 0.000f, SQ2/4, 0.000f },
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{ 0.000f, SQ2/12, 1.0f/6 },
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{ 0.000f, SQ2/12,-1.0f/6 },
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{-1.0f/6,-SQ2/12, 0.000f },
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{ 1.0f/6,-SQ2/12, 0.000f },
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};
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// Colors of the faces of cubits.
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// GREEN 0 YELLOW 1 BLUE 2 RED 3
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// GREEN 4 YELLOW 5 BLUE 6 RED 7
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// GREEN 8 YELLOW 9 BLUE 10 RED 11
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private static final int[][] mFaceMap = new int[][]
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{
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{ 0, 3, 2, 12, 12, 12 },
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{ 1, 2, 3, 12, 12, 12 },
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{ 1, 0, 2, 12, 12, 12 },
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{ 1, 3, 0, 12, 12, 12 },
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{ 7, 6, 12, 12, 12, 12 },
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{ 4, 6, 12, 12, 12, 12 },
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{ 7, 4, 12, 12, 12, 12 },
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{ 5, 6, 12, 12, 12, 12 },
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{ 7, 5, 12, 12, 12, 12 },
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{ 4, 5, 12, 12, 12, 12 },
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{ 8, 12, 12, 12, 12, 12 },
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{ 9, 12, 12, 12, 12, 12 },
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{ 10, 12, 12, 12, 12, 12 },
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{ 11, 12, 12, 12, 12, 12 },
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};
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private static final float X = F/2;
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private static final float Y = F*SQ2/2;
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private static final float Z =-F/2;
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private static final float L = (1-3*F);
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private static final float X2= L/2;
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private static final float Y2= L*SQ2/2;
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private static final float Z2=-L/2;
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private static final float D = F/L;
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private static final double[][] VERTICES_CORNER = new double[][]
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{
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{ 0.0, 0.0, 0.0 },
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{ X, Y, Z },
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{ 0.0, 2*Y, 2*Z },
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{ -X, Y, Z },
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{ 0.0, 0.0, -F },
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{ X, Y, Z-F },
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{ 0.0, 2*Y, 2*Z-F },
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{ -X, Y, Z-F },
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};
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private static final int[][] VERT_INDEXES_CORNER = new int[][]
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{
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{0,1,2,3},
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{1,0,4,5},
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{7,4,0,3},
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{1,5,6,2},
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{7,3,2,6},
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{4,7,6,5}
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};
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private static final double[][] VERTICES_EDGE = new double[][]
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{
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{ 0.0, 0.0, 0.5-F },
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{ X, Y, Z+0.5-F },
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{ 0.0, 2*Y, 2*Z+0.5-F },
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{ -X, Y, Z+0.5-F },
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{ 0.0, 0.0, -0.5+F },
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{ X, Y, -Z-0.5+F },
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{ 0.0, 2*Y,-2*Z-0.5+F },
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{ -X, Y, -Z-0.5+F },
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};
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private static final int[][] VERT_INDEXES_EDGE = new int[][]
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{
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{0,4,5,1},
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{3,7,4,0},
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{0,1,2,3},
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{4,7,6,5},
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{1,5,6,2},
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{2,6,7,3}
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};
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private static final double[][] VERTICES_FACE = new double[][]
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{
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{ 0.0, -2*Y2/3, -2*Z2/3 },
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{ X2, Y2/3, Z2/3 },
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{ -X2, Y2/3, Z2/3 },
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{ 0.0, -2*Y2/3,-2*Z2/3+2*D*Z2 },
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{ X2-D*X2, Y2/3-D*Y2, Z2/3+D*Z2 },
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{ -X2+D*X2, Y2/3-D*Y2, Z2/3+D*Z2 },
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};
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private static final int[][] VERT_INDEXES_FACE = new int[][]
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{
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{0,1,2},
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{3,5,4},
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{0,3,4,1},
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{5,3,0,2},
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{4,5,2,1}
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};
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private static final float[][] STICKERS = new float[][]
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{
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{ 0.0f, -0.5f, 0.28867516f, 0.0f, 0.0f, 0.5f, -0.28867516f, 0.0f },
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{ -0.5f, 0.11983269f, 0.27964598f, -0.43146032f, 0.3200817f, 0.007388768f, -0.09972769f, 0.30423886f },
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{ 0.0f, -0.5f, 0.43301272f, 0.25f, -0.43301272f, 0.25f },
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};
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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 R1 = 0.05f;
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final float R2 = 0.10f;
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final float R3 = 0.03f;
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final float[][] radii = { { R1,R1,R1,R1 },{ R3,R3,R2,R2 },{ R1,R1,R1 } };
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final float[] strokes = { 0.06f, 0.03f, 0.05f };
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for(int s=0; s<STICKERS.length; s++)
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{
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mStickers[s] = new ObjectSticker(STICKERS[s],null,radii[s],strokes[s]);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyJing(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.JING, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getCubitPositions(int size)
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{
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return CENTERS;
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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(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[] cut = { (F-0.25f)*(SQ6/3) };
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return new float[][] { cut,cut,cut,cut };
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumCubitFaces()
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{
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return 6;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 2*TwistyPyraminx.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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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getFaceColor(int cubit, int cubitface, int size)
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{
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return mFaceMap[cubit][cubitface];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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ObjectShape getObjectShape(int cubit, int numLayers)
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{
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int variant = getCubitVariant(cubit,numLayers);
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if( variant==0 )
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{
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float[][] bands = new float[][] { {0.015f,35,0.5f*F,F,5,1,1},{0.001f,35,0.5f*F,F,5,1,1} };
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int[] bandIndices = new int[] { 0,0,0,1,1,1 };
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float[][] corners = new float[][] { {0.08f,0.20f*F},{0.07f,0.20f*F} };
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int[] cornerIndices = new int[] { 0,1,1,-1,1,-1,-1,-1 };
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float[][] centers = new float[][] { { 0.0f, F*SQ2/2, -F} };
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int[] centerIndices = new int[] { 0,0,0,-1,0,-1,-1,-1 };
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return new ObjectShape(VERTICES_CORNER,VERT_INDEXES_CORNER,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
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}
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else if( variant==1 )
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{
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float[][] bands = new float[][] { {0.015f,35,0.5f*F,F,5,1,1},{0.001f,35,0.5f*F,F,5,1,1} };
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int[] bandIndices = new int[] { 0,0,1,1,1,1 };
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float[][] corners = new float[][] { {0.07f,0.20f*F} };
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int[] cornerIndices = new int[] { 0,0,-1,0,0,0,-1,0 };
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float[][] centers = new float[][] { { 0, F*SQ2/2, 0 } };
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int[] centerIndices = new int[] { 0,0,-1,0,0,0,-1,0 };
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return new ObjectShape(VERTICES_EDGE,VERT_INDEXES_EDGE,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
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}
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else
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{
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float[][] bands = new float[][] { {0.020f,35,0.20f*(1-3*F),0.6f*(1-3*F),5,1,1}, {0.001f,35,0.05f*(1-3*F),0.1f*(1-3*F),5,1,1} };
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int[] bandIndices = new int[] { 0,1,1,1,1,1 };
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float[][] corners = new float[][] { {0.04f,0.15f} };
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int[] cornerIndices = new int[] { 0,0,0,-1,-1,-1 };
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float[][] centers = new float[][] { { 0, -2*Y/3, 4*Z/3 } };
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int[] centerIndices = new int[] { 0,0,0,-1,-1,-1 };
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return new ObjectShape(VERTICES_FACE,VERT_INDEXES_FACE,bands,bandIndices,corners,cornerIndices,centers,centerIndices,getNumCubitFaces(), null);
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}
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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Static4D getQuat(int cubit, int numLayers)
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{
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return QUATS[ROT_QUAT[cubit]];
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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336
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int getNumCubitVariants(int numLayers)
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{
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|
339
|
return 3;
|
|
340
|
}
|
|
341
|
|
|
342
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
343
|
|
|
344
|
int getCubitVariant(int cubit, int numLayers)
|
|
345
|
{
|
|
346
|
return cubit<4 ? 0 : (cubit<10?1:2);
|
|
347
|
}
|
|
348
|
|
|
349
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
350
|
|
|
351
|
int getColor(int face)
|
|
352
|
{
|
|
353
|
return FACE_COLORS[face];
|
|
354
|
}
|
|
355
|
|
|
356
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
357
|
|
|
358
|
ObjectSticker retSticker(int face)
|
|
359
|
{
|
|
360
|
return mStickers[face/NUM_FACES];
|
|
361
|
}
|
|
362
|
|
|
363
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
364
|
// SQ6/3 = height of the tetrahedron
|
|
365
|
|
|
366
|
float returnMultiplier()
|
|
367
|
{
|
|
368
|
return getNumLayers()/(SQ6/3);
|
|
369
|
}
|
|
370
|
|
|
371
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
372
|
// PUBLIC API
|
|
373
|
|
|
374
|
public Static3D[] getRotationAxis()
|
|
375
|
{
|
|
376
|
return ROT_AXIS;
|
|
377
|
}
|
|
378
|
|
|
379
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
380
|
|
|
381
|
public int[] getBasicAngle()
|
|
382
|
{
|
|
383
|
return BASIC_ANGLE;
|
|
384
|
}
|
|
385
|
|
|
386
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
387
|
|
|
388
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int curr, int total)
|
|
389
|
{
|
|
390
|
if( curr==0 )
|
|
391
|
{
|
|
392
|
scramble[curr][0] = rnd.nextInt(NUM_AXIS);
|
|
393
|
}
|
|
394
|
else
|
|
395
|
{
|
|
396
|
int newVector = rnd.nextInt(NUM_AXIS-1);
|
|
397
|
scramble[curr][0] = (newVector>=scramble[curr-1][0] ? newVector+1 : newVector);
|
|
398
|
}
|
|
399
|
|
|
400
|
scramble[curr][1] = rnd.nextInt(2);
|
|
401
|
|
|
402
|
switch( rnd.nextInt(2) )
|
|
403
|
{
|
|
404
|
case 0: scramble[curr][2] = -1; break;
|
|
405
|
case 1: scramble[curr][2] = 1; break;
|
|
406
|
}
|
|
407
|
}
|
|
408
|
|
|
409
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
410
|
// JingPyraminx is solved iff
|
|
411
|
// a) all of its corner and edge cubits are rotated with the same quat
|
|
412
|
// b) its 4 face cubits might also be rotated along the axis perpendicular to the face.
|
|
413
|
//
|
|
414
|
// So:
|
|
415
|
// [10] might be extra QUAT[4] or QUAT[8]
|
|
416
|
// [11] might be extra QUAT[5] or QUAT[9]
|
|
417
|
// [12] might be extra QUAT[2] or QUAT[6]
|
|
418
|
// [13] might be extra QUAT[3] or QUAT[7]
|
|
419
|
|
|
420
|
public boolean isSolved()
|
|
421
|
{
|
|
422
|
int q1, q = CUBITS[0].mQuatIndex;
|
|
423
|
|
|
424
|
if( CUBITS[1].mQuatIndex != q ) return false;
|
|
425
|
if( CUBITS[2].mQuatIndex != q ) return false;
|
|
426
|
if( CUBITS[3].mQuatIndex != q ) return false;
|
|
427
|
if( CUBITS[4].mQuatIndex != q ) return false;
|
|
428
|
if( CUBITS[5].mQuatIndex != q ) return false;
|
|
429
|
if( CUBITS[6].mQuatIndex != q ) return false;
|
|
430
|
if( CUBITS[7].mQuatIndex != q ) return false;
|
|
431
|
if( CUBITS[8].mQuatIndex != q ) return false;
|
|
432
|
if( CUBITS[9].mQuatIndex != q ) return false;
|
|
433
|
|
|
434
|
q1 = CUBITS[10].mQuatIndex;
|
|
435
|
if( q1!=q && q1!=mulQuat(q,4) && q1!=mulQuat(q,8) ) return false;
|
|
436
|
q1 = CUBITS[11].mQuatIndex;
|
|
437
|
if( q1!=q && q1!=mulQuat(q,5) && q1!=mulQuat(q,9) ) return false;
|
|
438
|
q1 = CUBITS[12].mQuatIndex;
|
|
439
|
if( q1!=q && q1!=mulQuat(q,2) && q1!=mulQuat(q,6) ) return false;
|
|
440
|
q1 = CUBITS[13].mQuatIndex;
|
|
441
|
if( q1!=q && q1!=mulQuat(q,3) && q1!=mulQuat(q,7) ) return false;
|
|
442
|
|
|
443
|
return true;
|
|
444
|
}
|
|
445
|
|
|
446
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
447
|
|
|
448
|
public int getObjectName(int numLayers)
|
|
449
|
{
|
|
450
|
return R.string.jing;
|
|
451
|
}
|
|
452
|
|
|
453
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
454
|
|
|
455
|
public int getInventor(int numLayers)
|
|
456
|
{
|
|
457
|
return R.string.jing_inventor;
|
|
458
|
}
|
|
459
|
|
|
460
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
461
|
|
|
462
|
public int getComplexity(int numLayers)
|
|
463
|
{
|
|
464
|
return 4;
|
|
465
|
}
|
|
466
|
}
|