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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 android.graphics.Canvas;
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import android.graphics.Paint;
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import org.distorted.helpers.FactoryCubit;
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import org.distorted.helpers.FactorySticker;
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import org.distorted.library.effect.MatrixEffectQuaternion;
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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 org.distorted.main.R;
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import java.util.Random;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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public class TwistyHelicopter extends TwistyObject
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{
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private static final int FACES_PER_CUBIT =6;
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// the six rotation axis of a Helicopter. Must be normalized.
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static final Static3D[] ROT_AXIS = new Static3D[]
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{
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new Static3D( 0, +SQ2/2, -SQ2/2),
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new Static3D( 0, -SQ2/2, -SQ2/2),
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new Static3D(+SQ2/2, 0, -SQ2/2),
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new Static3D(-SQ2/2, 0, -SQ2/2),
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new Static3D(+SQ2/2, -SQ2/2, 0),
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new Static3D(-SQ2/2, -SQ2/2, 0)
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};
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private static final int[] FACE_COLORS = new int[]
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{
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COLOR_YELLOW, COLOR_WHITE,
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COLOR_BLUE , COLOR_GREEN,
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COLOR_RED , COLOR_ORANGE
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};
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// All legal rotation quats of a HELICOPTER (same as the Cube!)
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private static final Static4D[] QUATS = new Static4D[]
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{
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new Static4D( 0.00f, 0.00f, 0.00f, 1.00f ),
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new Static4D( 1.00f, 0.00f, 0.00f, 0.00f ),
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new Static4D( 0.00f, 1.00f, 0.00f, 0.00f ),
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new Static4D( 0.00f, 0.00f, 1.00f, 0.00f ),
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new Static4D( SQ2/2, SQ2/2, 0.00f, 0.00f ),
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new Static4D( SQ2/2, -SQ2/2, 0.00f, 0.00f ),
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new Static4D( SQ2/2, 0.00f, SQ2/2, 0.00f ),
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new Static4D( SQ2/2, 0.00f, -SQ2/2, 0.00f ),
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new Static4D( SQ2/2, 0.00f, 0.00f, SQ2/2 ),
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new Static4D( SQ2/2, 0.00f, 0.00f, -SQ2/2 ),
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new Static4D( 0.00f, SQ2/2, SQ2/2, 0.00f ),
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new Static4D( 0.00f, SQ2/2, -SQ2/2, 0.00f ),
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new Static4D( 0.00f, SQ2/2, 0.00f, SQ2/2 ),
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new Static4D( 0.00f, SQ2/2, 0.00f, -SQ2/2 ),
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new Static4D( 0.00f, 0.00f, SQ2/2, SQ2/2 ),
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new Static4D( 0.00f, 0.00f, SQ2/2, -SQ2/2 ),
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new Static4D( 0.50f, 0.50f, 0.50f, 0.50f ),
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new Static4D( 0.50f, 0.50f, 0.50f, -0.50f ),
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new Static4D( 0.50f, 0.50f, -0.50f, 0.50f ),
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new Static4D( 0.50f, 0.50f, -0.50f, -0.50f ),
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new Static4D( 0.50f, -0.50f, 0.50f, 0.50f ),
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new Static4D( 0.50f, -0.50f, 0.50f, -0.50f ),
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new Static4D( 0.50f, -0.50f, -0.50f, 0.50f ),
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new Static4D( 0.50f, -0.50f, -0.50f, -0.50f )
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};
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private static final float DIST_CORNER = 0.50f;
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private static final float DIST_CENTER = 0.50f;
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private static final float XY_CENTER = DIST_CORNER/3;
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// centers of the 8 corners + 6*4 face triangles ( i.e. of the all 32 cubits)
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private static final float[][] CENTERS = new float[][]
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{
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{ DIST_CORNER, DIST_CORNER, DIST_CORNER },
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{ DIST_CORNER, DIST_CORNER, -DIST_CORNER },
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{ DIST_CORNER, -DIST_CORNER, DIST_CORNER },
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{ DIST_CORNER, -DIST_CORNER, -DIST_CORNER },
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{ -DIST_CORNER, DIST_CORNER, DIST_CORNER },
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{ -DIST_CORNER, DIST_CORNER, -DIST_CORNER },
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{ -DIST_CORNER, -DIST_CORNER, DIST_CORNER },
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{ -DIST_CORNER, -DIST_CORNER, -DIST_CORNER },
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{ DIST_CENTER, XY_CENTER, XY_CENTER },
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{ DIST_CENTER, XY_CENTER, -XY_CENTER },
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{ DIST_CENTER, -XY_CENTER, XY_CENTER },
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{ DIST_CENTER, -XY_CENTER, -XY_CENTER },
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{ -DIST_CENTER, XY_CENTER, XY_CENTER },
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{ -DIST_CENTER, XY_CENTER, -XY_CENTER },
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{ -DIST_CENTER, -XY_CENTER, XY_CENTER },
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{ -DIST_CENTER, -XY_CENTER, -XY_CENTER },
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{ XY_CENTER , DIST_CENTER, XY_CENTER },
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{ XY_CENTER , DIST_CENTER, -XY_CENTER },
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{ -XY_CENTER , DIST_CENTER, XY_CENTER },
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{ -XY_CENTER , DIST_CENTER, -XY_CENTER },
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{ XY_CENTER , -DIST_CENTER, XY_CENTER },
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{ XY_CENTER , -DIST_CENTER, -XY_CENTER },
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{ -XY_CENTER , -DIST_CENTER, XY_CENTER },
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{ -XY_CENTER , -DIST_CENTER, -XY_CENTER },
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{ XY_CENTER , XY_CENTER, DIST_CENTER },
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{ XY_CENTER , -XY_CENTER, DIST_CENTER },
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{ -XY_CENTER , XY_CENTER, DIST_CENTER },
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{ -XY_CENTER , -XY_CENTER, DIST_CENTER },
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{ XY_CENTER , XY_CENTER, -DIST_CENTER },
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{ XY_CENTER , -XY_CENTER, -DIST_CENTER },
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{ -XY_CENTER , XY_CENTER, -DIST_CENTER },
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{ -XY_CENTER , -XY_CENTER, -DIST_CENTER },
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};
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// Colors of the faces of cubits. Each cubit has 6 faces
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private static final int[][] mFaceMap = new int[][]
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{
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{ 4,2,0, 6,6,6 },
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{ 0,2,5, 6,6,6 },
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{ 4,0,3, 6,6,6 },
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{ 5,3,0, 6,6,6 },
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{ 1,2,4, 6,6,6 },
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{ 5,2,1, 6,6,6 },
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{ 4,3,1, 6,6,6 },
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{ 1,3,5, 6,6,6 },
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{ 0 , 6,6,6,6,6 },
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{ 0 , 6,6,6,6,6 },
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{ 0 , 6,6,6,6,6 },
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{ 0 , 6,6,6,6,6 },
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{ 1 , 6,6,6,6,6 },
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{ 1 , 6,6,6,6,6 },
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{ 1 , 6,6,6,6,6 },
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{ 1 , 6,6,6,6,6 },
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{ 2 , 6,6,6,6,6 },
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{ 2 , 6,6,6,6,6 },
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{ 2 , 6,6,6,6,6 },
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{ 2 , 6,6,6,6,6 },
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{ 3 , 6,6,6,6,6 },
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{ 3 , 6,6,6,6,6 },
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{ 3 , 6,6,6,6,6 },
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{ 3 , 6,6,6,6,6 },
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{ 4 , 6,6,6,6,6 },
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{ 4 , 6,6,6,6,6 },
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{ 4 , 6,6,6,6,6 },
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{ 4 , 6,6,6,6,6 },
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{ 5 , 6,6,6,6,6 },
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{ 5 , 6,6,6,6,6 },
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{ 5 , 6,6,6,6,6 },
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{ 5 , 6,6,6,6,6 },
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};
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private static final int[] QUAT_INDICES =
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{ 0,13,14,1,12,2,3,7,20,6,13,17,7,23,18,12,22,10,8,16,11,21,19,9,3,15,14,0,5,2,1,4 };
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private static final double[][] VERTICES_CORNER = new double[][]
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{
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{-0.50f, 0.00f, 0.00f},
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{ 0.00f,-0.50f, 0.00f},
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{ 0.00f, 0.00f,-0.50f},
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{-0.25f,-0.25f,-0.25f},
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{ 0.00f, 0.00f, 0.00f}
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};
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private static final int[][] VERT_INDEXES_CORNER = new int[][]
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{
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{0,1,4},
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{2,0,4},
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{1,2,4},
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{3,1,0},
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{3,2,1},
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{3,0,2}
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};
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private static final float E = 0.1666666f;
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private static final double[][] VERTICES_FACE = new double[][]
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{
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{ 0.00f +E, 0.00f +E, 0.00f },
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{ 0.50f +E, 0.00f +E, 0.00f },
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{ 0.00f +E, 0.50f +E, 0.00f },
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{ 0.25f +E, 0.25f +E,-0.25f },
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};
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private static final int[][] VERT_INDEXES_FACE = new int[][]
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{
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{ 0,1,2 },
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{ 2,1,3 },
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{ 0,1,3 },
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{ 2,0,3 }
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};
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private static final float[][] STICKERS = new float[][]
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{
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{ -0.5f, 0.25f, 0.25f, -0.5f, 0.25f, 0.25f }
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};
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private static MeshBase[] mMeshes;
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///////////////////////////////////////////////////////////////////////////////////////////////////
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TwistyHelicopter(int size, Static4D quat, DistortedTexture texture,
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MeshSquare mesh, DistortedEffects effects, int[][] moves, Resources res, int scrWidth)
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{
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super(size, size, quat, texture, mesh, effects, moves, ObjectList.HELI, res, scrWidth);
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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double[][] getVertices(int cubitType)
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{
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if( cubitType==0 ) return VERTICES_CORNER;
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if( cubitType==1 ) return VERTICES_FACE;
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int[][] getVertIndexes(int cubitType)
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{
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if( cubitType==0 ) return VERT_INDEXES_CORNER;
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if( cubitType==1 ) return VERT_INDEXES_FACE;
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return null;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumCubitTypes(int numLayers)
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{
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return 2;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float getScreenRatio()
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{
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return 1.6f;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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Static4D[] getQuats()
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{
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return QUATS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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boolean shouldResetTextureMaps()
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{
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return false;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumFaces()
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{
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return FACE_COLORS.length;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumStickerTypes(int numLayers)
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{
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return 1;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[] getCuts(int size)
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{
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float[] cuts = new float[2];
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cuts[0] = -SQ2/4;
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cuts[1] = +SQ2/4;
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return cuts;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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int getNumCubitFaces()
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{
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return FACES_PER_CUBIT;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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float[][] getCubitPositions(int size)
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{
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return CENTERS;
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}
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///////////////////////////////////////////////////////////////////////////////////////////////////
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MeshBase createCubitMesh(int cubit, int numLayers)
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{
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if( mMeshes==null )
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{
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FactoryCubit factory = FactoryCubit.getInstance();
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factory.clear();
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mMeshes = new MeshBase[2];
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}
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MeshBase mesh;
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if( cubit<8 )
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{
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if( mMeshes[0]==null )
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{
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float[][] bands= new float[][]
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{
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{0.028f,35,0.16f,0.7f,7,3,3},
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{0.000f, 0,1.00f,0.0f,3,1,5}
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};
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int[] bandIndexes = new int[] { 0,0,0,1,1,1 };
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float[][] corners = new float[][] { {0.08f,0.15f}, {0.08f,0.20f} };
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349
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int[] cornerIndexes = new int[] { 1,1,1,0,0 };
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350
|
float[][] centers = new float[][] { {-0.25f, -0.25f, -0.25f} };
|
|
351
|
int[] centerIndexes = new int[] { 0,0,0,-1,0 };
|
|
352
|
|
|
353
|
FactoryCubit factory = FactoryCubit.getInstance();
|
|
354
|
factory.createNewFaceTransform(VERTICES_CORNER,VERT_INDEXES_CORNER);
|
|
355
|
mMeshes[0] = factory.createRoundedSolid(VERTICES_CORNER, VERT_INDEXES_CORNER,
|
|
356
|
bands, bandIndexes,
|
|
357
|
corners, cornerIndexes,
|
|
358
|
centers, centerIndexes,
|
|
359
|
getNumCubitFaces() );
|
|
360
|
}
|
|
361
|
mesh = mMeshes[0].copy(true);
|
|
362
|
}
|
|
363
|
else
|
|
364
|
{
|
|
365
|
if( mMeshes[1]==null ) mMeshes[1] = FactoryCubit.getInstance().createHelicopterFaceMesh();
|
|
366
|
/*
|
|
367
|
{
|
|
368
|
float[][] bands= new float[][]
|
|
369
|
{
|
|
370
|
{0.028f,35,0.16f,0.7f,7,3,3},
|
|
371
|
{0.000f, 0,1.00f,0.0f,3,1,3}
|
|
372
|
};
|
|
373
|
int[] bandIndexes = new int[] { 0,1,1,1 };
|
|
374
|
float[][] corners = new float[][] { {0.06f,0.15f}, {0.06f,0.20f} };
|
|
375
|
int[] cornerIndexes = new int[] { 0,1,1,-1 };
|
|
376
|
float[][] centers = new float[][] { {-1.0f/12, -1.0f/12, -1.0f/4} };
|
|
377
|
int[] centerIndexes = new int[] { 0,0,0,-1 };
|
|
378
|
|
|
379
|
FactoryCubit factory = FactoryCubit.getInstance();
|
|
380
|
factory.createNewFaceTransform(VERTICES_FACE,VERT_INDEXES_FACE);
|
|
381
|
mMeshes[1] = factory.createRoundedSolid(VERTICES_FACE, VERT_INDEXES_FACE,
|
|
382
|
bands, bandIndexes,
|
|
383
|
corners, cornerIndexes,
|
|
384
|
centers, centerIndexes,
|
|
385
|
getNumCubitFaces() );
|
|
386
|
}
|
|
387
|
|
|
388
|
*/
|
|
389
|
mesh = mMeshes[1].copy(true);
|
|
390
|
}
|
|
391
|
|
|
392
|
int index = QUAT_INDICES[cubit];
|
|
393
|
MatrixEffectQuaternion quat = new MatrixEffectQuaternion( QUATS[index], new Static3D(0,0,0) );
|
|
394
|
mesh.apply(quat,0xffffffff,0);
|
|
395
|
|
|
396
|
return mesh;
|
|
397
|
}
|
|
398
|
|
|
399
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
400
|
|
|
401
|
int getFaceColor(int cubit, int cubitface, int size)
|
|
402
|
{
|
|
403
|
return mFaceMap[cubit][cubitface];
|
|
404
|
}
|
|
405
|
|
|
406
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
407
|
|
|
408
|
void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top)
|
|
409
|
{
|
|
410
|
float R = 0.023f;
|
|
411
|
float S = 0.035f;
|
|
412
|
float E = 0.5f;
|
|
413
|
float[] vertices = { -E+E/4,E/4, E/4,-E+E/4, E/4,E/4};
|
|
414
|
|
|
415
|
FactorySticker factory = FactorySticker.getInstance();
|
|
416
|
factory.drawRoundedPolygon(canvas, paint, left, top, vertices, S, FACE_COLORS[face], R);
|
|
417
|
}
|
|
418
|
|
|
419
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
420
|
|
|
421
|
float returnMultiplier()
|
|
422
|
{
|
|
423
|
return 2.0f;
|
|
424
|
}
|
|
425
|
|
|
426
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
427
|
|
|
428
|
float[] getRowChances(int numLayers)
|
|
429
|
{
|
|
430
|
float[] chances = new float[3];
|
|
431
|
|
|
432
|
chances[0] = 0.5f;
|
|
433
|
chances[1] = 0.5f;
|
|
434
|
chances[2] = 1.0f;
|
|
435
|
|
|
436
|
return chances;
|
|
437
|
}
|
|
438
|
|
|
439
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
440
|
// PUBLIC API
|
|
441
|
|
|
442
|
public Static3D[] getRotationAxis()
|
|
443
|
{
|
|
444
|
return ROT_AXIS;
|
|
445
|
}
|
|
446
|
|
|
447
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
448
|
|
|
449
|
public int getBasicAngle()
|
|
450
|
{
|
|
451
|
return 2;
|
|
452
|
}
|
|
453
|
|
|
454
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
455
|
|
|
456
|
public void randomizeNewScramble(int[][] scramble, Random rnd, int num)
|
|
457
|
{
|
|
458
|
if( num==0 )
|
|
459
|
{
|
|
460
|
scramble[num][0] = rnd.nextInt(ROTATION_AXIS.length);
|
|
461
|
}
|
|
462
|
else
|
|
463
|
{
|
|
464
|
int newVector = rnd.nextInt(ROTATION_AXIS.length-2);
|
|
465
|
|
|
466
|
switch(scramble[num-1][0])
|
|
467
|
{
|
|
468
|
case 0:
|
|
469
|
case 1: scramble[num][0] = newVector+2;
|
|
470
|
break;
|
|
471
|
case 2:
|
|
472
|
case 3: scramble[num][0] = (newVector==0 || newVector==1) ? newVector:newVector+2;
|
|
473
|
break;
|
|
474
|
default: scramble[num][0] = newVector;
|
|
475
|
break;
|
|
476
|
}
|
|
477
|
}
|
|
478
|
|
|
479
|
float rowFloat = rnd.nextFloat();
|
|
480
|
|
|
481
|
for(int row=0; row<mRowChances.length; row++)
|
|
482
|
{
|
|
483
|
if( rowFloat<=mRowChances[row] )
|
|
484
|
{
|
|
485
|
scramble[num][1] = row;
|
|
486
|
break;
|
|
487
|
}
|
|
488
|
}
|
|
489
|
|
|
490
|
switch( rnd.nextInt(2) )
|
|
491
|
{
|
|
492
|
case 0: scramble[num][2] = -1; break;
|
|
493
|
case 1: scramble[num][2] = 1; break;
|
|
494
|
}
|
|
495
|
}
|
|
496
|
|
|
497
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
498
|
// The Helicopter is solved if and only if:
|
|
499
|
//
|
|
500
|
// 1) all of its corner cubits are rotated with the same quat
|
|
501
|
// 2) all its face cubits are rotated with the same quat like the corner ones,
|
|
502
|
// and optionally they also might be turned by a multiple of 90 degrees along
|
|
503
|
// a vector perpendicular to the face they lie on.
|
|
504
|
//
|
|
505
|
// i.e.
|
|
506
|
// cubits 8, 9,10,11,12,13,14,15 - might be extra QUAT 1,8,9
|
|
507
|
// cubits 16,17,18,19,20,21,22,23 - might be extra QUAT 2,12,13
|
|
508
|
// cubits 24,25,26,27,28,29,30,31 - might be extra QUAT 3,14,15
|
|
509
|
|
|
510
|
public boolean isSolved()
|
|
511
|
{
|
|
512
|
int q = CUBITS[0].mQuatIndex;
|
|
513
|
|
|
514
|
if ( CUBITS[1].mQuatIndex == q &&
|
|
515
|
CUBITS[2].mQuatIndex == q &&
|
|
516
|
CUBITS[3].mQuatIndex == q &&
|
|
517
|
CUBITS[4].mQuatIndex == q &&
|
|
518
|
CUBITS[5].mQuatIndex == q &&
|
|
519
|
CUBITS[6].mQuatIndex == q &&
|
|
520
|
CUBITS[7].mQuatIndex == q )
|
|
521
|
{
|
|
522
|
int q1 = mulQuat(q,1);
|
|
523
|
int q2 = mulQuat(q,8);
|
|
524
|
int q3 = mulQuat(q,9);
|
|
525
|
|
|
526
|
for(int index=8; index<16; index++)
|
|
527
|
{
|
|
528
|
int qIndex = CUBITS[index].mQuatIndex;
|
|
529
|
if( qIndex!=q && qIndex!=q1 && qIndex!=q2 && qIndex!=q3 ) return false;
|
|
530
|
}
|
|
531
|
|
|
532
|
q1 = mulQuat(q, 2);
|
|
533
|
q2 = mulQuat(q,12);
|
|
534
|
q3 = mulQuat(q,13);
|
|
535
|
|
|
536
|
for(int index=16; index<24; index++)
|
|
537
|
{
|
|
538
|
int qIndex = CUBITS[index].mQuatIndex;
|
|
539
|
if( qIndex!=q && qIndex!=q1 && qIndex!=q2 && qIndex!=q3 ) return false;
|
|
540
|
}
|
|
541
|
|
|
542
|
q1 = mulQuat(q, 3);
|
|
543
|
q2 = mulQuat(q,14);
|
|
544
|
q3 = mulQuat(q,15);
|
|
545
|
|
|
546
|
for(int index=24; index<32; index++)
|
|
547
|
{
|
|
548
|
int qIndex = CUBITS[index].mQuatIndex;
|
|
549
|
if( qIndex!=q && qIndex!=q1 && qIndex!=q2 && qIndex!=q3 ) return false;
|
|
550
|
}
|
|
551
|
|
|
552
|
return true;
|
|
553
|
}
|
|
554
|
|
|
555
|
return false;
|
|
556
|
}
|
|
557
|
|
|
558
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
559
|
// only needed for solvers - there are no Helicopter solvers ATM)
|
|
560
|
|
|
561
|
public String retObjectString()
|
|
562
|
{
|
|
563
|
return "";
|
|
564
|
}
|
|
565
|
|
|
566
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
567
|
|
|
568
|
public int getObjectName(int numLayers)
|
|
569
|
{
|
|
570
|
return R.string.heli3;
|
|
571
|
}
|
|
572
|
|
|
573
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
574
|
|
|
575
|
public int getInventor(int numLayers)
|
|
576
|
{
|
|
577
|
return R.string.heli3_inventor;
|
|
578
|
}
|
|
579
|
|
|
580
|
///////////////////////////////////////////////////////////////////////////////////////////////////
|
|
581
|
|
|
582
|
public int getComplexity(int numLayers)
|
|
583
|
{
|
|
584
|
return 8;
|
|
585
|
}
|
|
586
|
}
|