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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.helpers.FactoryCubit;
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import org.distorted.library.main.DistortedEffects;
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import org.distorted.library.main.DistortedTexture;
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import org.distorted.library.mesh.MeshBase;
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import org.distorted.library.mesh.MeshSquare;
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import org.distorted.library.type.Static3D;
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import org.distorted.library.type.Static4D;
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import 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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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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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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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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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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36, 34, 56, 32, 43, 21, 48, 28, 42, 23
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};
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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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// the quadruple ( corner1, corner2, face1, face2 ) defining an edge.
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228
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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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{ 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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{ 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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{ 3, 19, 3, 6},
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261
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{ 1, 13, 10, 5},
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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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{ 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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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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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;
|
|
310
|
mCenterCoords[center][1] = y/5;
|
|
311
|
mCenterCoords[center][2] = z/5;
|
|
312
|
}
|
|
313
|
}
|
|
314
|
|
|
315
|
static final Static4D[] mBasicCornerV, mCurrCornerV;
|
|
316
|
|
|
317
|
static
|
|
318
|
{
|
|
319
|
mBasicCornerV = new Static4D[3];
|
|
320
|
mCurrCornerV = new Static4D[3];
|
|
321
|
|
|
322
|
mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
|
|
323
|
mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f );
|
|
324
|
mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f );
|
|
325
|
}
|
|
326
|
|
|
327
|
|
|
328
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
329
|
|
|
330
|
TwistyMinx(int numLayers, int realSize, Static4D quat, DistortedTexture texture, MeshSquare mesh,
|
|
331
|
DistortedEffects effects, int[][] moves, ObjectList obj, Resources res, int scrWidth)
|
|
332
|
{
|
|
333
|
super(numLayers, realSize, quat, texture, mesh, effects, moves, obj, res, scrWidth);
|
|
334
|
}
|
|
335
|
|
|
336
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
337
|
|
|
338
|
Static4D[] getQuats()
|
|
339
|
{
|
|
340
|
return QUATS;
|
|
341
|
}
|
|
342
|
|
|
343
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
344
|
|
|
345
|
int getNumFaces()
|
|
346
|
{
|
|
347
|
return FACE_COLORS.length;
|
|
348
|
}
|
|
349
|
|
|
350
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
351
|
|
|
352
|
boolean shouldResetTextureMaps()
|
|
353
|
{
|
|
354
|
return false;
|
|
355
|
}
|
|
356
|
|
|
357
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
358
|
|
|
359
|
int getNumCubitFaces()
|
|
360
|
{
|
|
361
|
return FACES_PER_CUBIT;
|
|
362
|
}
|
|
363
|
|
|
364
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
365
|
|
|
366
|
float returnMultiplier()
|
|
367
|
{
|
|
368
|
return 2.0f;
|
|
369
|
}
|
|
370
|
|
|
371
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
372
|
|
|
373
|
float[] getRowChances(int numLayers)
|
|
374
|
{
|
|
375
|
float[] chances = new float[numLayers];
|
|
376
|
float denom = (float)(numLayers-1);
|
|
377
|
int change = (numLayers-1)/2;
|
|
378
|
|
|
379
|
for(int i= 0; i<change ; i++) chances[i] = (i+1)/denom;
|
|
380
|
for(int i=change; i<numLayers; i++) chances[i] = (i )/denom;
|
|
381
|
|
|
382
|
return chances;
|
|
383
|
}
|
|
384
|
|
|
385
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
386
|
|
|
387
|
MeshBase createCornerMesh(int numLayers, float width)
|
|
388
|
{
|
|
389
|
float A = (2*SQ3/3)*SIN54;
|
|
390
|
float B = 0.4f;
|
|
391
|
int N = numLayers==3 ? 5 : 3;
|
|
392
|
int E = numLayers==3 ? 4 : 1;
|
|
393
|
|
|
394
|
double X = width*COS18*SIN_HALFD;
|
|
395
|
double Y = width*SIN18;
|
|
396
|
double Z = width*COS18*COS_HALFD;
|
|
397
|
|
|
398
|
double[][] vertices = new double[][]
|
|
399
|
{
|
|
400
|
{ 0.0, 0.0 , 0.0 },
|
|
401
|
{ X, Y , -Z },
|
|
402
|
{ 0.0, 2*Y ,-2*Z },
|
|
403
|
{ -X, Y , -Z },
|
|
404
|
{ 0.0, 0.0-width, 0.0 },
|
|
405
|
{ X, Y-width, -Z },
|
|
406
|
{ 0.0, 2*Y-width,-2*Z },
|
|
407
|
{ -X, Y-width, -Z },
|
|
408
|
};
|
|
409
|
|
|
410
|
int[][] vertIndexes = new int[][]
|
|
411
|
{
|
|
412
|
{4,5,1,0},
|
|
413
|
{7,4,0,3},
|
|
414
|
{0,1,2,3},
|
|
415
|
{4,5,6,7},
|
|
416
|
{6,5,1,2},
|
|
417
|
{7,6,2,3}
|
|
418
|
};
|
|
419
|
|
|
420
|
float[][] bands = new float[][]
|
|
421
|
{
|
|
422
|
{0.04f,34,0.3f,0.2f, N, 1, 1},
|
|
423
|
{0.00f, 0,0.0f,0.0f, 2, 1, E}
|
|
424
|
};
|
|
425
|
int[] bandIndexes = new int[] { 0,0,0,1,1,1};
|
|
426
|
float[][] corners = new float[][] { {0.04f,0.10f} };
|
|
427
|
int[] cornerIndexes = new int[] { 0,-1,-1,-1,-1,-1,-1,-1 };
|
|
428
|
float[][] centers = new float[][] { {0.0f, -(float)Math.sqrt(1-A*A)*B,-A*B} };
|
|
429
|
int[] centerIndexes = new int[] { 0,-1,-1,-1,-1,-1,-1,-1 };
|
|
430
|
|
|
431
|
FactoryCubit factory = FactoryCubit.getInstance();
|
|
432
|
factory.createNewFaceTransform(vertices,vertIndexes);
|
|
433
|
|
|
434
|
return factory.createRoundedSolid(vertices, vertIndexes,
|
|
435
|
bands, bandIndexes,
|
|
436
|
corners, cornerIndexes,
|
|
437
|
centers, centerIndexes,
|
|
438
|
getNumCubitFaces() );
|
|
439
|
}
|
|
440
|
|
|
441
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
442
|
// PUBLIC API
|
|
443
|
|
|
444
|
public Static3D[] getRotationAxis()
|
|
445
|
{
|
|
446
|
return ROT_AXIS;
|
|
447
|
}
|
|
448
|
|
|
449
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
450
|
|
|
451
|
public int getBasicAngle()
|
|
452
|
{
|
|
453
|
return 5;
|
|
454
|
}
|
|
455
|
|
|
456
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
457
|
|
|
458
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int num)
|
|
459
|
{
|
|
460
|
if( num==0 )
|
|
461
|
{
|
|
462
|
scramble[num][0] = rnd.nextInt(ROTATION_AXIS.length);
|
|
463
|
}
|
|
464
|
else
|
|
465
|
{
|
|
466
|
int newVector = rnd.nextInt(ROTATION_AXIS.length-1);
|
|
467
|
scramble[num][0] = (newVector>=scramble[num-1][0] ? newVector+1 : newVector);
|
|
468
|
}
|
|
469
|
|
|
470
|
if( num==0 )
|
|
471
|
{
|
|
472
|
float rowFloat = rnd.nextFloat();
|
|
473
|
|
|
474
|
for(int row=0; row<mRowChances.length; row++)
|
|
475
|
{
|
|
476
|
if( rowFloat<=mRowChances[row] )
|
|
477
|
{
|
|
478
|
scramble[num][1] = row;
|
|
479
|
break;
|
|
480
|
}
|
|
481
|
}
|
|
482
|
}
|
|
483
|
else
|
|
484
|
{
|
|
485
|
int size = mRowChances.length;
|
|
486
|
int nom = (size-1)/2;
|
|
487
|
int row = rnd.nextInt(nom);
|
|
488
|
boolean opposite = OPPOSITE_ROWS[scramble[num-1][0]][scramble[num][0]];
|
|
489
|
boolean low = opposite^(scramble[num-1][1]<nom);
|
|
490
|
scramble[num][1] = low ? row : size-1-row;
|
|
491
|
}
|
|
492
|
|
|
493
|
switch( rnd.nextInt(4) )
|
|
494
|
{
|
|
495
|
case 0: scramble[num][2] = -2; break;
|
|
496
|
case 1: scramble[num][2] = -1; break;
|
|
497
|
case 2: scramble[num][2] = 1; break;
|
|
498
|
case 3: scramble[num][2] = 2; break;
|
|
499
|
}
|
|
500
|
}
|
|
501
|
|
|
502
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
503
|
// only needed for solvers - there are no Minx solvers ATM)
|
|
504
|
|
|
505
|
public String retObjectString()
|
|
506
|
{
|
|
507
|
return "";
|
|
508
|
}
|
|
509
|
}
|