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a64e07d0
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Leszek Koltunski
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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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ead91342
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Leszek Koltunski
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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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a64e07d0
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Leszek Koltunski
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static final float C0 = (SQ5-1)/4; // cos(72 deg)
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static final float C1 = (SQ5+1)/4; // cos(36 deg)
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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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// 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, C1/LEN, 0 ),
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new Static3D(-C2/LEN, C1/LEN, 0 ),
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new Static3D( 0 , C2/LEN, C1/LEN ),
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new Static3D( 0 ,-C2/LEN, C1/LEN ),
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new Static3D( C1/LEN, 0 , C2/LEN ),
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new Static3D( C1/LEN, 0 ,-C2/LEN )
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};
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private static final int MINX_LGREEN = 0xff53aa00;
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private static final int MINX_PINK = 0xfffd7ab7;
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private static final int MINX_SANDY = 0xffefd48b;
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private static final int MINX_LBLUE = 0xff00a2d7;
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private static final int MINX_ORANGE = 0xffff6200;
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private static final int MINX_VIOLET = 0xff7d59a4;
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private static final int MINX_DGREEN = 0xff007a47;
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private static final int MINX_DRED = 0xffbd0000;
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private static final int MINX_DBLUE = 0xff1a29b2;
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private static final int MINX_DYELLOW= 0xffffc400;
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private static final int MINX_WHITE = 0xffffffff;
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private 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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7a606778
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new Static4D( 0.0f, 0.0f, 0.0f, 1.0f ), //0
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Leszek Koltunski
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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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7a606778
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new Static4D( 0.5f, 0.5f, 0.5f, 0.5f ), //4
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a64e07d0
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Leszek Koltunski
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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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7a606778
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Leszek Koltunski
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new Static4D( 0.5f, C1, C0, 0.0f ), // 12
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a64e07d0
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Leszek Koltunski
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new Static4D( 0.5f, C1, -C0, 0.0f ),
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new Static4D( 0.5f, -C1, C0, 0.0f ),
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new Static4D( 0.5f, -C1, -C0, 0.0f ),
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new Static4D( C0, 0.5f, C1, 0.0f ),
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new Static4D( C0, 0.5f, -C1, 0.0f ),
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new Static4D( -C0, 0.5f, C1, 0.0f ),
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new Static4D( -C0, 0.5f, -C1, 0.0f ),
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new Static4D( C1, C0, 0.5f, 0.0f ),
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new Static4D( C1, -C0, 0.5f, 0.0f ),
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new Static4D( -C1, C0, 0.5f, 0.0f ),
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new Static4D( -C1, -C0, 0.5f, 0.0f ),
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7a606778
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Leszek Koltunski
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new Static4D( 0.0f, C0, C1, 0.5f ), //24
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a64e07d0
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Leszek Koltunski
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new Static4D( 0.0f, C0, -C1, 0.5f ),
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new Static4D( 0.0f, -C0, C1, 0.5f ),
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new Static4D( 0.0f, -C0, -C1, 0.5f ),
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new Static4D( C0, C1, 0.0f, 0.5f ),
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new Static4D( C0, -C1, 0.0f, 0.5f ),
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new Static4D( -C0, C1, 0.0f, 0.5f ),
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new Static4D( -C0, -C1, 0.0f, 0.5f ),
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new Static4D( C1, 0.0f, C0, 0.5f ),
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new Static4D( C1, 0.0f, -C0, 0.5f ),
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new Static4D( -C1, 0.0f, C0, 0.5f ),
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new Static4D( -C1, 0.0f, -C0, 0.5f ),
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7a606778
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Leszek Koltunski
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new Static4D( 0.0f, C1, 0.5f, C0 ), //36
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a64e07d0
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Leszek Koltunski
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new Static4D( 0.0f, C1, -0.5f, C0 ),
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new Static4D( 0.0f, -C1, 0.5f, C0 ),
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new Static4D( 0.0f, -C1, -0.5f, C0 ),
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new Static4D( 0.5f, 0.0f, C1, C0 ),
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new Static4D( 0.5f, 0.0f, -C1, C0 ),
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new Static4D( -0.5f, 0.0f, C1, C0 ),
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new Static4D( -0.5f, 0.0f, -C1, C0 ),
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new Static4D( C1, 0.5f, 0.0f, C0 ),
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new Static4D( C1, -0.5f, 0.0f, C0 ),
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new Static4D( -C1, 0.5f, 0.0f, C0 ),
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new Static4D( -C1, -0.5f, 0.0f, C0 ),
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7a606778
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Leszek Koltunski
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new Static4D( 0.0f, 0.5f, C0, C1 ), //48
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a64e07d0
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Leszek Koltunski
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new Static4D( 0.0f, 0.5f, -C0, C1 ),
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new Static4D( 0.0f, -0.5f, C0, C1 ),
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new Static4D( 0.0f, -0.5f, -C0, C1 ),
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new Static4D( 0.5f, C0, 0.0f, C1 ),
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new Static4D( 0.5f, -C0, 0.0f, C1 ),
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new Static4D( -0.5f, C0, 0.0f, C1 ),
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new Static4D( -0.5f, -C0, 0.0f, C1 ),
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new Static4D( C0, 0.0f, 0.5f, C1 ),
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new Static4D( C0, 0.0f, -0.5f, C1 ),
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new Static4D( -C0, 0.0f, 0.5f, C1 ),
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new Static4D( -C0, 0.0f, -0.5f, C1 ),
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};
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// Coordinates of all 20 corners of a Minx
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e6cf7283
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Leszek Koltunski
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static final float[][] CORNERS = new float[][]
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a64e07d0
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Leszek Koltunski
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{
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e6cf7283
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Leszek Koltunski
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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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{ C1, C1, C1},
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{ C1, C1, -C1},
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{ C1, -C1, C1},
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{ C1, -C1, -C1},
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{ -C1, C1, C1},
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{ -C1, C1, -C1},
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{ -C1, -C1, C1},
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{ -C1, -C1, -C1},
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a64e07d0
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Leszek Koltunski
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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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7764a67a
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Leszek Koltunski
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static final int[] QUAT_EDGE_INDICES =
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{
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7a606778
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Leszek Koltunski
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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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7764a67a
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Leszek Koltunski
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};
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e4bf4d02
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Leszek Koltunski
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static final int[] QUAT_CORNER_INDICES =
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{
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d38f1397
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Leszek Koltunski
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0, 2, 3, 1, 40, 31, 41, 30, 39, 35,
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36, 34, 56, 32, 43, 21, 48, 28, 42, 23
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};
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f2d04089
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Leszek Koltunski
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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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};
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16f34a98
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Leszek Koltunski
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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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ead91342
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Leszek Koltunski
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// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on
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16f34a98
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Leszek Koltunski
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// the 'left' or right of vector corner1 --> corner2, according to Quat.
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ead91342
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Leszek Koltunski
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static final int[][] mEdgeMap =
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{
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7a606778
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Leszek Koltunski
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{ 0, 12, 0, 8}, //0
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ead91342
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Leszek Koltunski
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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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7a606778
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Leszek Koltunski
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{ 14, 9, 11, 4}, //5
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{ 9, 11, 11, 3},
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{ 11, 18, 11, 2},
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{ 18, 2, 11, 1},
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ead91342
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Leszek Koltunski
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{ 18, 6, 1, 2},
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7a606778
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Leszek Koltunski
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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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ead91342
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Leszek Koltunski
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{ 13, 5, 9, 5},
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{ 5, 4, 9, 4},
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7a606778
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Leszek Koltunski
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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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ead91342
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Leszek Koltunski
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{ 19, 7, 2, 6},
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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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7a606778
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Leszek Koltunski
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{ 17, 1, 10, 6}, //25
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ead91342
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Leszek Koltunski
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{ 1, 3, 5, 6},
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{ 3, 19, 3, 6},
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{ 1, 13, 10, 5},
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7a606778
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Leszek Koltunski
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{ 3, 15, 5, 3},
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ead91342
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Leszek Koltunski
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};
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// the five vertices that form a given face. Order: the same as colors
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| 260 |
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// of the faces in TwistyMinx.
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| 261 |
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static final int[][] mCenterMap =
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{
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{ 0, 12, 4, 14, 2},
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{ 0, 2, 18, 6, 16},
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{ 6, 18, 11, 19, 7},
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{ 3, 15, 9, 11, 19},
|
| 267 |
|
|
{ 4, 5, 15, 9, 14},
|
| 268 |
|
|
{ 1, 13, 5, 15, 3},
|
| 269 |
|
|
{ 1, 3, 19, 7, 17},
|
| 270 |
|
|
{10, 16, 6, 7, 17},
|
| 271 |
|
|
{ 0, 12, 8, 10, 16},
|
| 272 |
|
|
{ 8, 13, 5, 4, 12},
|
| 273 |
|
|
{ 1, 13, 8, 10, 17},
|
| 274 |
|
|
{ 2, 14, 9, 11, 18},
|
| 275 |
|
|
};
|
| 276 |
|
|
|
| 277 |
|
|
static final float[][] mCenterCoords = new float[NUM_CENTERS][3];
|
| 278 |
|
|
|
| 279 |
|
|
static
|
| 280 |
|
|
{
|
| 281 |
|
|
for(int center=0; center<NUM_CENTERS; center++)
|
| 282 |
|
|
{
|
| 283 |
|
|
int[] map = mCenterMap[center];
|
| 284 |
|
|
|
| 285 |
|
|
float x = CORNERS[map[0]][0] +
|
| 286 |
|
|
CORNERS[map[1]][0] +
|
| 287 |
|
|
CORNERS[map[2]][0] +
|
| 288 |
|
|
CORNERS[map[3]][0] +
|
| 289 |
|
|
CORNERS[map[4]][0] ;
|
| 290 |
|
|
|
| 291 |
|
|
float y = CORNERS[map[0]][1] +
|
| 292 |
|
|
CORNERS[map[1]][1] +
|
| 293 |
|
|
CORNERS[map[2]][1] +
|
| 294 |
|
|
CORNERS[map[3]][1] +
|
| 295 |
|
|
CORNERS[map[4]][1] ;
|
| 296 |
|
|
|
| 297 |
|
|
float z = CORNERS[map[0]][2] +
|
| 298 |
|
|
CORNERS[map[1]][2] +
|
| 299 |
|
|
CORNERS[map[2]][2] +
|
| 300 |
|
|
CORNERS[map[3]][2] +
|
| 301 |
|
|
CORNERS[map[4]][2] ;
|
| 302 |
|
|
|
| 303 |
|
|
mCenterCoords[center][0] = x/5;
|
| 304 |
|
|
mCenterCoords[center][1] = y/5;
|
| 305 |
|
|
mCenterCoords[center][2] = z/5;
|
| 306 |
|
|
}
|
| 307 |
|
|
}
|
| 308 |
|
|
|
| 309 |
|
|
static final Static4D[] mBasicCornerV, mCurrCornerV;
|
| 310 |
|
|
|
| 311 |
|
|
static
|
| 312 |
|
|
{
|
| 313 |
|
|
mBasicCornerV = new Static4D[3];
|
| 314 |
|
|
mCurrCornerV = new Static4D[3];
|
| 315 |
|
|
|
| 316 |
|
|
mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
|
| 317 |
|
|
mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
|
| 318 |
|
|
mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f );
|
| 319 |
|
|
}
|
| 320 |
|
|
|
| 321 |
|
|
|
| 322 |
a64e07d0
|
Leszek Koltunski
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 323 |
|
|
|
| 324 |
|
|
TwistyMinx(int numLayers, int realSize, Static4D quat, DistortedTexture texture, MeshSquare mesh,
|
| 325 |
|
|
DistortedEffects effects, int[][] moves, ObjectList obj, Resources res, int scrWidth)
|
| 326 |
|
|
{
|
| 327 |
db875721
|
Leszek Koltunski
|
super(numLayers, realSize, quat, texture, mesh, effects, moves, obj, res, scrWidth);
|
| 328 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 329 |
|
|
|
| 330 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 331 |
|
|
|
| 332 |
|
|
Static4D[] getQuats()
|
| 333 |
|
|
{
|
| 334 |
|
|
return QUATS;
|
| 335 |
|
|
}
|
| 336 |
|
|
|
| 337 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 338 |
|
|
|
| 339 |
|
|
int getNumFaces()
|
| 340 |
|
|
{
|
| 341 |
|
|
return FACE_COLORS.length;
|
| 342 |
|
|
}
|
| 343 |
|
|
|
| 344 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 345 |
|
|
|
| 346 |
|
|
boolean shouldResetTextureMaps()
|
| 347 |
|
|
{
|
| 348 |
|
|
return false;
|
| 349 |
|
|
}
|
| 350 |
|
|
|
| 351 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 352 |
|
|
|
| 353 |
|
|
int getNumCubitFaces()
|
| 354 |
|
|
{
|
| 355 |
|
|
return FACES_PER_CUBIT;
|
| 356 |
|
|
}
|
| 357 |
|
|
|
| 358 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 359 |
|
|
|
| 360 |
|
|
float returnMultiplier()
|
| 361 |
|
|
{
|
| 362 |
|
|
return 2.0f;
|
| 363 |
|
|
}
|
| 364 |
|
|
|
| 365 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 366 |
|
|
|
| 367 |
|
|
float[] getRowChances(int numLayers)
|
| 368 |
|
|
{
|
| 369 |
|
|
float[] chances = new float[numLayers];
|
| 370 |
|
|
float denom = (float)(numLayers-1);
|
| 371 |
|
|
int change = (numLayers-1)/2;
|
| 372 |
|
|
|
| 373 |
|
|
for(int i= 0; i<change ; i++) chances[i] = (i+1)/denom;
|
| 374 |
|
|
for(int i=change; i<numLayers; i++) chances[i] = (i )/denom;
|
| 375 |
|
|
|
| 376 |
|
|
return chances;
|
| 377 |
|
|
}
|
| 378 |
|
|
|
| 379 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 380 |
|
|
// PUBLIC API
|
| 381 |
|
|
|
| 382 |
|
|
public Static3D[] getRotationAxis()
|
| 383 |
|
|
{
|
| 384 |
|
|
return ROT_AXIS;
|
| 385 |
|
|
}
|
| 386 |
|
|
|
| 387 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 388 |
|
|
|
| 389 |
|
|
public int getBasicAngle()
|
| 390 |
|
|
{
|
| 391 |
|
|
return 5;
|
| 392 |
|
|
}
|
| 393 |
|
|
|
| 394 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 395 |
|
|
|
| 396 |
5043d5d0
|
Leszek Koltunski
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int num)
|
| 397 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 398 |
5043d5d0
|
Leszek Koltunski
|
if( num==0 )
|
| 399 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 400 |
5043d5d0
|
Leszek Koltunski
|
scramble[num][0] = rnd.nextInt(ROTATION_AXIS.length);
|
| 401 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 402 |
|
|
else
|
| 403 |
|
|
{
|
| 404 |
bbc6471c
|
Leszek Koltunski
|
int newVector = rnd.nextInt(ROTATION_AXIS.length-1);
|
| 405 |
5043d5d0
|
Leszek Koltunski
|
scramble[num][0] = (newVector>=scramble[num-1][0] ? newVector+1 : newVector);
|
| 406 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 407 |
|
|
|
| 408 |
5043d5d0
|
Leszek Koltunski
|
if( num==0 )
|
| 409 |
f2d04089
|
Leszek Koltunski
|
{
|
| 410 |
|
|
float rowFloat = rnd.nextFloat();
|
| 411 |
a64e07d0
|
Leszek Koltunski
|
|
| 412 |
f2d04089
|
Leszek Koltunski
|
for(int row=0; row<mRowChances.length; row++)
|
| 413 |
|
|
{
|
| 414 |
bbc6471c
|
Leszek Koltunski
|
if( rowFloat<=mRowChances[row] )
|
| 415 |
|
|
{
|
| 416 |
5043d5d0
|
Leszek Koltunski
|
scramble[num][1] = row;
|
| 417 |
bbc6471c
|
Leszek Koltunski
|
break;
|
| 418 |
|
|
}
|
| 419 |
f2d04089
|
Leszek Koltunski
|
}
|
| 420 |
|
|
}
|
| 421 |
|
|
else
|
| 422 |
a64e07d0
|
Leszek Koltunski
|
{
|
| 423 |
f2d04089
|
Leszek Koltunski
|
int size = mRowChances.length;
|
| 424 |
5043d5d0
|
Leszek Koltunski
|
int nom = (size-1)/2;
|
| 425 |
|
|
int row = rnd.nextInt(nom);
|
| 426 |
|
|
boolean opposite = OPPOSITE_ROWS[scramble[num-1][0]][scramble[num][0]];
|
| 427 |
|
|
boolean low = opposite^(scramble[num-1][1]<nom);
|
| 428 |
|
|
scramble[num][1] = low ? row : size-1-row;
|
| 429 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 430 |
bbc6471c
|
Leszek Koltunski
|
|
| 431 |
5043d5d0
|
Leszek Koltunski
|
switch( rnd.nextInt(4) )
|
| 432 |
|
|
{
|
| 433 |
|
|
case 0: scramble[num][2] = -2; break;
|
| 434 |
|
|
case 1: scramble[num][2] = -1; break;
|
| 435 |
|
|
case 2: scramble[num][2] = 1; break;
|
| 436 |
|
|
case 3: scramble[num][2] = 2; break;
|
| 437 |
|
|
}
|
| 438 |
a64e07d0
|
Leszek Koltunski
|
}
|
| 439 |
|
|
|
| 440 |
|
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
| 441 |
|
|
// only needed for solvers - there are no Minx solvers ATM)
|
| 442 |
|
|
|
| 443 |
|
|
public String retObjectString()
|
| 444 |
|
|
{
|
| 445 |
|
|
return "";
|
| 446 |
|
|
}
|
| 447 |
|
|
}
|