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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Copyright 2020 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.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 java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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abstract class TwistyMinx extends TwistyObject
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{
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private static final int FACES_PER_CUBIT =6;
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static final int NUM_CORNERS = 20;
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static final int NUM_CENTERS = 12;
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static final int NUM_EDGES = 30;
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static final float C2 = (SQ5+3)/4;
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static final float LEN = (float)(Math.sqrt(1.25f+0.5f*SQ5));
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static final float SIN54 = (SQ5+1)/4;
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static final float COS54 = (float)(Math.sqrt(10-2*SQ5)/4);
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static final float SIN18 = (SQ5-1)/4;
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static final float COS18 = (float)(0.25f*Math.sqrt(10.0f+2.0f*SQ5));
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static final float COS_HALFD= (float)(Math.sqrt(0.5f-0.1f*SQ5)); // cos(half the dihedral angle)
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static final float SIN_HALFD= (float)(Math.sqrt(0.5f+0.1f*SQ5)); // sin(half the dihedral angle)
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// the six rotation axis of a Minx. Must be normalized.
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( C2/LEN, SIN54/LEN, 0 ),
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new Static3D( -C2/LEN, SIN54/LEN, 0 ),
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new Static3D( 0 , C2/LEN, SIN54/LEN ),
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new Static3D( 0 , -C2/LEN, SIN54/LEN ),
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new Static3D( SIN54/LEN, 0 , C2/LEN ),
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new Static3D( SIN54/LEN, 0 , -C2/LEN )
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};
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61
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private static final int[] BASIC_ANGLE = new int[] { 5,5,5,5,5,5 };
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63
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static final int MINX_LGREEN = 0xff53aa00;
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static final int MINX_PINK = 0xfffd7ab7;
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static final int MINX_SANDY = 0xffefd48b;
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static final int MINX_LBLUE = 0xff00a2d7;
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static final int MINX_ORANGE = 0xffff6200;
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static final int MINX_VIOLET = 0xff7d59a4;
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static final int MINX_DGREEN = 0xff007a47;
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static final int MINX_DRED = 0xffbd0000;
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static final int MINX_DBLUE = 0xff1a29b2;
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static final int MINX_DYELLOW= 0xffffc400;
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static final int MINX_WHITE = 0xffffffff;
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static final int MINX_GREY = 0xff727c7b;
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static final int[] FACE_COLORS = new int[]
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{
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MINX_LGREEN, MINX_PINK , MINX_SANDY , MINX_LBLUE,
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MINX_ORANGE, MINX_VIOLET , MINX_DGREEN, MINX_DRED ,
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MINX_DBLUE , MINX_DYELLOW, MINX_WHITE , MINX_GREY
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};
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// All 60 legal rotation quats of a Minx
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static final Static4D[] QUATS = new Static4D[]
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{
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new Static4D( 0.0f, 0.0f, 0.0f, 1.0f ), //0
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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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91
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new Static4D( 0.5f, 0.5f, 0.5f, 0.5f ), //4
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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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100
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new Static4D( 0.5f, SIN54, SIN18, 0.0f ), // 12
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new Static4D( 0.5f, SIN54,-SIN18, 0.0f ),
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new Static4D( 0.5f,-SIN54, SIN18, 0.0f ),
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new Static4D( 0.5f,-SIN54,-SIN18, 0.0f ),
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new Static4D( SIN18, 0.5f, SIN54, 0.0f ),
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new Static4D( SIN18, 0.5f,-SIN54, 0.0f ),
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new Static4D(-SIN18, 0.5f, SIN54, 0.0f ),
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new Static4D(-SIN18, 0.5f,-SIN54, 0.0f ),
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new Static4D( SIN54, SIN18, 0.5f, 0.0f ),
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new Static4D( SIN54,-SIN18, 0.5f, 0.0f ),
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new Static4D(-SIN54, SIN18, 0.5f, 0.0f ),
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new Static4D(-SIN54,-SIN18, 0.5f, 0.0f ),
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113
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new Static4D( 0.0f, SIN18, SIN54, 0.5f ), //24
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new Static4D( 0.0f, SIN18,-SIN54, 0.5f ),
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new Static4D( 0.0f,-SIN18, SIN54, 0.5f ),
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new Static4D( 0.0f,-SIN18,-SIN54, 0.5f ),
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new Static4D( SIN18, SIN54, 0.0f, 0.5f ),
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new Static4D( SIN18,-SIN54, 0.0f, 0.5f ),
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new Static4D(-SIN18, SIN54, 0.0f, 0.5f ),
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new Static4D(-SIN18,-SIN54, 0.0f, 0.5f ),
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new Static4D( SIN54, 0.0f, SIN18, 0.5f ),
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new Static4D( SIN54, 0.0f,-SIN18, 0.5f ),
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new Static4D(-SIN54, 0.0f, SIN18, 0.5f ),
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new Static4D(-SIN54, 0.0f,-SIN18, 0.5f ),
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new Static4D( 0.0f, SIN54, 0.5f, SIN18 ), //36
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new Static4D( 0.0f, SIN54, -0.5f, SIN18 ),
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new Static4D( 0.0f,-SIN54, 0.5f, SIN18 ),
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new Static4D( 0.0f,-SIN54, -0.5f, SIN18 ),
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new Static4D( 0.5f, 0.0f, SIN54, SIN18 ),
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new Static4D( 0.5f, 0.0f,-SIN54, SIN18 ),
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new Static4D( -0.5f, 0.0f, SIN54, SIN18 ),
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new Static4D( -0.5f, 0.0f,-SIN54, SIN18 ),
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new Static4D( SIN54, 0.5f, 0.0f, SIN18 ),
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new Static4D( SIN54, -0.5f, 0.0f, SIN18 ),
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new Static4D(-SIN54, 0.5f, 0.0f, SIN18 ),
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new Static4D(-SIN54, -0.5f, 0.0f, SIN18 ),
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new Static4D( 0.0f, 0.5f, SIN18, SIN54 ), //48
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new Static4D( 0.0f, 0.5f,-SIN18, SIN54 ),
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new Static4D( 0.0f, -0.5f, SIN18, SIN54 ),
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new Static4D( 0.0f, -0.5f,-SIN18, SIN54 ),
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new Static4D( 0.5f, SIN18, 0.0f, SIN54 ),
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new Static4D( 0.5f,-SIN18, 0.0f, SIN54 ),
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new Static4D( -0.5f, SIN18, 0.0f, SIN54 ),
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new Static4D( -0.5f,-SIN18, 0.0f, SIN54 ),
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new Static4D( SIN18, 0.0f, 0.5f, SIN54 ),
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new Static4D( SIN18, 0.0f, -0.5f, SIN54 ),
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new Static4D(-SIN18, 0.0f, 0.5f, SIN54 ),
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new Static4D(-SIN18, 0.0f, -0.5f, SIN54 ),
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};
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// Coordinates of all 20 corners of a Minx
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static final float[][] CORNERS = new float[][]
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{
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{ 0.0f, 0.5f, C2},
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{ 0.0f, 0.5f, -C2},
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{ 0.0f, -0.5f, C2},
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{ 0.0f, -0.5f, -C2},
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{ C2, 0.0f, 0.5f},
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{ C2, 0.0f, -0.5f},
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{ -C2, 0.0f, 0.5f},
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{ -C2, 0.0f, -0.5f},
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{ 0.5f, C2, 0.0f},
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{ 0.5f, -C2, 0.0f},
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{ -0.5f, C2, 0.0f},
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{ -0.5f, -C2, 0.0f},
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{ SIN54, SIN54, SIN54},
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{ SIN54, SIN54,-SIN54},
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{ SIN54,-SIN54, SIN54},
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{ SIN54,-SIN54,-SIN54},
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{-SIN54, SIN54, SIN54},
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{-SIN54, SIN54,-SIN54},
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{-SIN54,-SIN54, SIN54},
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{-SIN54,-SIN54,-SIN54},
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};
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static final int[][] mCornerFaceMap =
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{
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{ 0, 1, 8 },
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{ 6, 5,10 },
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{ 1, 0,11 },
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{ 5, 6, 3 },
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{ 0, 9, 4 },
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{ 5, 4, 9 },
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{ 7, 1, 2 },
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{ 2, 6, 7 },
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{ 10, 9, 8 },
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{ 4, 3,11 },
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{ 7,10, 8 },
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{ 3, 2,11 },
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{ 0, 8, 9 },
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{ 9,10, 5 },
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{ 0, 4,11 },
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{ 4, 5, 3 },
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{ 1, 7, 8 },
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{ 7, 6,10 },
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{ 2, 1,11 },
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{ 6, 2, 3 },
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};
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static final int[] QUAT_EDGE_INDICES =
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{
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56, 40, 43, 59, 0, 19, 9, 54, 58, 49,
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48, 24, 52, 4, 16, 32, 20, 11, 21, 35 ,
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37, 30, 8, 28, 36, 44, 1, 46, 12, 47
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208
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};
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209
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210
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static final int[] QUAT_CORNER_INDICES =
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{
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0, 2, 3, 1, 40, 31, 41, 30, 39, 35,
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214
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36, 34, 56, 32, 43, 21, 48, 28, 42, 23
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215
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};
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216
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static final boolean[][] OPPOSITE_ROWS =
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{
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{false, true, false, true, false, false},
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{ true, false, false, true, true, true},
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{false, false, false, true, false, true},
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{ true, true, true, false, false, true},
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{false, true, false, false, false, true},
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{false, true, true, true, true, false}
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225
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};
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226
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227
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// the quadruple ( corner1, corner2, face1, face2 ) defining an edge.
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// In fact the 2 corners already define it, the faces only provide easy
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// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on
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// the 'left' or right of vector corner1 --> corner2, according to Quat.
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static final int[][] mEdgeMap =
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{
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{ 0, 12, 0, 8}, //0
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{ 12, 4, 0, 9},
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{ 4, 14, 0, 4},
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{ 14, 2, 0, 11},
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{ 2, 0, 0, 1},
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{ 14, 9, 11, 4}, //5
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{ 9, 11, 11, 3},
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240
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{ 11, 18, 11, 2},
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{ 18, 2, 11, 1},
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{ 18, 6, 1, 2},
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{ 6, 16, 1, 7}, //10
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{ 16, 0, 1, 8},
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{ 16, 10, 8, 7},
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{ 10, 8, 8, 10},
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{ 8, 12, 8, 9},
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{ 8, 13, 9, 10}, //15
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{ 13, 5, 9, 5},
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{ 5, 4, 9, 4},
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{ 5, 15, 4, 5},
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{ 15, 9, 4, 3},
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{ 11, 19, 2, 3}, //20
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{ 19, 7, 2, 6},
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255
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{ 7, 6, 2, 7},
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{ 7, 17, 7, 6},
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{ 17, 10, 7, 10},
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{ 17, 1, 10, 6}, //25
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{ 1, 3, 5, 6},
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260
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{ 3, 19, 3, 6},
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261
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{ 1, 13, 10, 5},
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262
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{ 3, 15, 5, 3},
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263
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};
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264
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265
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// the five vertices that form a given face. Order: the same as colors
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266
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// of the faces in TwistyMinx.
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267
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static final int[][] mCenterMap =
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268
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{
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269
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{ 0, 12, 4, 14, 2},
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270
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{ 0, 2, 18, 6, 16},
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271
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{ 6, 18, 11, 19, 7},
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272
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{ 3, 15, 9, 11, 19},
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273
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{ 4, 5, 15, 9, 14},
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274
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{ 1, 13, 5, 15, 3},
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275
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{ 1, 3, 19, 7, 17},
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276
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{10, 16, 6, 7, 17},
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277
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{ 0, 12, 8, 10, 16},
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278
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{ 8, 13, 5, 4, 12},
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279
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{ 1, 13, 8, 10, 17},
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280
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{ 2, 14, 9, 11, 18},
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281
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};
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282
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283
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static final float[][] mCenterCoords = new float[NUM_CENTERS][3];
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284
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285
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static
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286
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{
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287
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for(int center=0; center<NUM_CENTERS; center++)
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288
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{
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289
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int[] map = mCenterMap[center];
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290
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291
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float x = CORNERS[map[0]][0] +
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292
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CORNERS[map[1]][0] +
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293
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CORNERS[map[2]][0] +
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294
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CORNERS[map[3]][0] +
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295
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CORNERS[map[4]][0] ;
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296
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297
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float y = CORNERS[map[0]][1] +
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298
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CORNERS[map[1]][1] +
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299
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CORNERS[map[2]][1] +
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300
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CORNERS[map[3]][1] +
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301
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CORNERS[map[4]][1] ;
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302
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303
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float z = CORNERS[map[0]][2] +
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304
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CORNERS[map[1]][2] +
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305
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CORNERS[map[2]][2] +
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306
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CORNERS[map[3]][2] +
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307
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CORNERS[map[4]][2] ;
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308
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309
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mCenterCoords[center][0] = x/5;
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310
|
mCenterCoords[center][1] = y/5;
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311
|
mCenterCoords[center][2] = z/5;
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312
|
}
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313
|
}
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314
|
|
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315
|
static final Static4D[] mBasicCornerV, mCurrCornerV;
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316
|
|
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317
|
static
|
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318
|
{
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319
|
mBasicCornerV = new Static4D[3];
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320
|
mCurrCornerV = new Static4D[3];
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321
|
|
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322
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mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
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323
|
mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
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324
|
mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f );
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325
|
}
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|
326
|
|
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327
|
private static int[][] mScrambleTable;
|
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328
|
private static int[] mPossibleAxis, mPossibleLayers;
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329
|
private static int[] mNumOccurences;
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|
330
|
|
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331
|
///////////////////////////////////////////////////////////////////////////////////////////////////
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|
332
|
|
|
333
|
TwistyMinx(int numLayers, int realSize, Static4D quat, DistortedTexture texture, MeshSquare mesh,
|
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334
|
DistortedEffects effects, int[][] moves, ObjectList obj, Resources res, int scrWidth)
|
|
335
|
{
|
|
336
|
super(numLayers, realSize, quat, texture, mesh, effects, moves, obj, res, scrWidth);
|
|
337
|
}
|
|
338
|
|
|
339
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
340
|
|
|
341
|
Static4D[] getQuats()
|
|
342
|
{
|
|
343
|
return QUATS;
|
|
344
|
}
|
|
345
|
|
|
346
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
347
|
|
|
348
|
int getNumFaces()
|
|
349
|
{
|
|
350
|
return FACE_COLORS.length;
|
|
351
|
}
|
|
352
|
|
|
353
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
354
|
|
|
355
|
boolean shouldResetTextureMaps()
|
|
356
|
{
|
|
357
|
return false;
|
|
358
|
}
|
|
359
|
|
|
360
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
361
|
|
|
362
|
int getNumCubitFaces()
|
|
363
|
{
|
|
364
|
return FACES_PER_CUBIT;
|
|
365
|
}
|
|
366
|
|
|
367
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
368
|
|
|
369
|
float returnMultiplier()
|
|
370
|
{
|
|
371
|
return 2.0f;
|
|
372
|
}
|
|
373
|
|
|
374
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
375
|
|
|
376
|
private void initializeScrambleTable(int[] first, int numLayers)
|
|
377
|
{
|
|
378
|
if( mScrambleTable ==null ) mScrambleTable = new int[NUM_AXIS][2];
|
|
379
|
if( mPossibleAxis ==null ) mPossibleAxis = new int[NUM_AXIS-1];
|
|
380
|
if( mPossibleLayers==null ) mPossibleLayers= new int[NUM_AXIS-1];
|
|
381
|
if( mNumOccurences ==null ) mNumOccurences = new int[NUM_AXIS-1];
|
|
382
|
|
|
383
|
for(int i=0; i<NUM_AXIS; i++)
|
|
384
|
for(int j=0; j<2; j++)
|
|
385
|
{
|
|
386
|
mScrambleTable[i][j] = 0;
|
|
387
|
}
|
|
388
|
|
|
389
|
int layer = convertRowIntoLayer(first[1],numLayers);
|
|
390
|
|
|
391
|
mScrambleTable[first[0]][layer] = 1;
|
|
392
|
}
|
|
393
|
|
|
394
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
395
|
|
|
396
|
private int convertRowIntoLayer(int row, int numLayers)
|
|
397
|
{
|
|
398
|
return row>(numLayers-1)/2 ? 1 : 0;
|
|
399
|
}
|
|
400
|
|
|
401
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
402
|
|
|
403
|
private int convertLayerIntoRow(Random rnd, int layer, int numLayers)
|
|
404
|
{
|
|
405
|
int ran = numLayers>3 ? rnd.nextInt((numLayers-1)/2) : 0;
|
|
406
|
return layer==0 ? ran : numLayers-1-ran;
|
|
407
|
}
|
|
408
|
|
|
409
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
410
|
|
|
411
|
private boolean areOpposite(int oldAxis, int newAxis, int oldRow, int nom)
|
|
412
|
{
|
|
413
|
return OPPOSITE_ROWS[oldAxis][newAxis]^(oldRow<nom);
|
|
414
|
}
|
|
415
|
|
|
416
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
417
|
|
|
418
|
private int retNewRotationIndex(Random rnd, int nom, int[] oldRot)
|
|
419
|
{
|
|
420
|
int index=0, max=0;
|
|
421
|
|
|
422
|
for(int ax=0; ax<NUM_AXIS; ax++)
|
|
423
|
{
|
|
424
|
if( ax!=oldRot[0] )
|
|
425
|
{
|
|
426
|
mPossibleAxis[index] = ax;
|
|
427
|
mPossibleLayers[index] = areOpposite(oldRot[0],ax,oldRot[1],nom) ? 0:1;
|
|
428
|
int tmp = mScrambleTable[mPossibleAxis[index]][mPossibleLayers[index]];
|
|
429
|
if( tmp>max ) max=tmp;
|
|
430
|
index++;
|
|
431
|
}
|
|
432
|
}
|
|
433
|
|
|
434
|
for(int ax=0; ax<NUM_AXIS-1; ax++)
|
|
435
|
{
|
|
436
|
int value = mScrambleTable[mPossibleAxis[ax]][mPossibleLayers[ax]];
|
|
437
|
mNumOccurences[ax] = max - value + (ax==0 ? 0 : mNumOccurences[ax-1]);
|
|
438
|
}
|
|
439
|
|
|
440
|
float random= rnd.nextFloat()*mNumOccurences[NUM_AXIS-2];
|
|
441
|
|
|
442
|
for(int ax=0; ax<NUM_AXIS-1; ax++)
|
|
443
|
{
|
|
444
|
if( random <= mNumOccurences[ax] )
|
|
445
|
{
|
|
446
|
index=ax;
|
|
447
|
break;
|
|
448
|
}
|
|
449
|
}
|
|
450
|
|
|
451
|
mScrambleTable[mPossibleAxis[index]][mPossibleLayers[index]]++;
|
|
452
|
|
|
453
|
return index;
|
|
454
|
}
|
|
455
|
|
|
456
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
457
|
// PUBLIC API
|
|
458
|
|
|
459
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int curr, int total)
|
|
460
|
{
|
|
461
|
int numLayers = getNumLayers();
|
|
462
|
int nom = (numLayers-1)/2;
|
|
463
|
|
|
464
|
if( curr==0 )
|
|
465
|
{
|
|
466
|
int lf = rnd.nextInt(2);
|
|
467
|
int row= rnd.nextInt(nom);
|
|
468
|
scramble[curr][0] = rnd.nextInt(NUM_AXIS);
|
|
469
|
scramble[curr][1] = (lf==0 ? row : numLayers-1-row);
|
|
470
|
initializeScrambleTable(scramble[curr],numLayers);
|
|
471
|
}
|
|
472
|
else
|
|
473
|
{
|
|
474
|
int index = retNewRotationIndex(rnd,nom,scramble[curr-1]);
|
|
475
|
scramble[curr][0] = mPossibleAxis[index];
|
|
476
|
scramble[curr][1] = convertLayerIntoRow(rnd, mPossibleLayers[index], numLayers);
|
|
477
|
}
|
|
478
|
|
|
479
|
switch( rnd.nextInt(4) )
|
|
480
|
{
|
|
481
|
case 0: scramble[curr][2] = -2; break;
|
|
482
|
case 1: scramble[curr][2] = -1; break;
|
|
483
|
case 2: scramble[curr][2] = 1; break;
|
|
484
|
case 3: scramble[curr][2] = 2; break;
|
|
485
|
}
|
|
486
|
}
|
|
487
|
|
|
488
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
489
|
|
|
490
|
public Static3D[] getRotationAxis()
|
|
491
|
{
|
|
492
|
return ROT_AXIS;
|
|
493
|
}
|
|
494
|
|
|
495
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
496
|
|
|
497
|
public int[] getBasicAngle()
|
|
498
|
{
|
|
499
|
return BASIC_ANGLE;
|
|
500
|
}
|
|
501
|
}
|