Magic Cube

///////////////////////////////////////////////////////////////////////////////////////////////////

// Copyright 2019 Leszek Koltunski                                                               //

//                                                                                               //

// This file is part of Magic Cube.                                                              //

//                                                                                               //

// Magic Cube is free software: you can redistribute it and/or modify                            //

// it under the terms of the GNU General Public License as published by                          //

// the Free Software Foundation, either version 2 of the License, or                             //

// (at your option) any later version.                                                           //

//                                                                                               //

// Magic Cube is distributed in the hope that it will be useful,                                 //

// but WITHOUT ANY WARRANTY; without even the implied warranty of                                //

// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the                                 //

// GNU General Public License for more details.                                                  //

//                                                                                               //

// You should have received a copy of the GNU General Public License                             //

// along with Magic Cube.  If not, see <http://www.gnu.org/licenses/>.                           //

///////////////////////////////////////////////////////////////////////////////////////////////////

package org.distorted.object;

import android.graphics.Canvas;

import android.graphics.Paint;

import org.distorted.library.effect.MatrixEffect;

import org.distorted.library.effect.MatrixEffectMove;

import org.distorted.library.effect.MatrixEffectRotate;

import org.distorted.library.main.DistortedEffects;

import org.distorted.library.main.DistortedTexture;

import org.distorted.library.mesh.MeshBase;

import org.distorted.library.mesh.MeshJoined;

import org.distorted.library.mesh.MeshRectangles;

import org.distorted.library.type.Static1D;

import org.distorted.library.type.Static3D;

import org.distorted.library.type.Static4D;

///////////////////////////////////////////////////////////////////////////////////////////////////

class RubikCube extends RubikObject

{

  private static final float SQ2 = 0.5f*((float)Math.sqrt(2));

  private static final float[] LEGAL = new float[] { 0.0f , 0.5f , -0.5f , 1.0f , -1.0f , SQ2 , -SQ2 };

  // axisXright (right-YELLOW) axisXleft (left-WHITE) axisYright (top-BLUE) axisYleft (bottom-GREEN) axisZright (front-RED) axisZleft (back-BROWN)

  private static final int[] FACE_COLORS   = new int[] { 0xffffff00, 0xffffffff, 0xff0000ff, 0xff00ff00, 0xffff0000, 0xffb5651d };

///////////////////////////////////////////////////////////////////////////////////////////////////

  RubikCube(int size, Static4D quatCur, Static4D quatAcc, DistortedTexture texture, MeshRectangles mesh, DistortedEffects effects)

    {

    super(size,quatCur,quatAcc,texture,mesh,effects);

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  int[][] getCubitPositions(int size)

    {

    int[][] tmp = new int[getNumCubits(size)][3];

    int currentPosition = 0;

    for(int x = 0; x<size; x++)

      for(int y = 0; y<size; y++)

        for(int z = 0; z<size; z++)

          {

          if( x==0 || x==size-1 || y==0 || y==size-1 || z==0 || z==size-1 )

            {

            tmp[currentPosition][0] = x;

            tmp[currentPosition][1] = y;

            tmp[currentPosition][2] = z;

            currentPosition++;

            }

          }

    return tmp;

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

// i.e. size^3 - (size-2)^3 - number of cubits in the outside wall of the Cube (we don't create or

// render the inside)

  int getNumCubits(int size)

    {

    return size>1 ? 6*size*size - 12*size + 8 : 1;

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

// All legal rotation quats of a RubikCube of any size must have all four of their components

// equal to either 0, 1, -1, 0.5, -0.5 or +-sqrt(2)/2.

  float[] getLegalQuats()

    {

    return LEGAL;

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  int getNumFaces()

    {

    return FACE_COLORS.length;

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  void createFaceTexture(Canvas canvas, Paint paint, int face)

    {

    final int S = TEXTURE_HEIGHT;

    final int R = TEXTURE_HEIGHT/10;

    final int M = TEXTURE_HEIGHT/20;

    paint.setColor(FACE_COLORS[face]);

    canvas.drawRoundRect( (face*S+M), M, (face*S+M) + (S-2*M), M + (S-2*M), R, R, paint);

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  MeshBase createCubitMesh(int vertices)

    {

    final int MESHES=6;

    Static3D axisY  = new Static3D(0,1,0);

    Static3D axisX  = new Static3D(1,0,0);

    Static3D center = new Static3D(0,0,0);

    Static1D angle  = new Static1D(0);

    MatrixEffect[] effectsY = new MatrixEffect[2];

    effectsY[0] = new MatrixEffectMove(new Static3D(0,0,+0.5f));

    effectsY[1] = new MatrixEffectRotate( angle, axisY, center );

    MeshBase[] meshes = new MeshRectangles[MESHES];

    for(int i=0; i<MESHES; i++) meshes[i] = new MeshRectangles(vertices,vertices);

    angle.set(0);

    meshes[4].apply(effectsY);  // front

    angle.set(90);

    meshes[0].apply(effectsY);  // right

    angle.set(180);

    meshes[5].apply(effectsY);  // back

    angle.set(270);

    meshes[1].apply(effectsY);  // left

    MatrixEffect[] effectsX = new MatrixEffect[2];

    effectsX[0] = new MatrixEffectMove(new Static3D(0,0,+0.5f));

    effectsX[1] = new MatrixEffectRotate( angle, axisX, center );

    angle.set( 90);

    meshes[3].apply(effectsX);  // bottom

    angle.set(-90);

    meshes[2].apply(effectsX);  // top

    return new MeshJoined(meshes);

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  boolean belongsToRotation( Static3D currentPosition, Static3D axis, int row)

    {

    if( axis.get0()!=0 ) return currentPosition.get0()==row;

    if( axis.get1()!=0 ) return currentPosition.get1()==row;

    if( axis.get2()!=0 ) return currentPosition.get2()==row;

    return false;

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  private static final Static4D mapFront, mapBack, mapLeft, mapRight, mapTop, mapBottom, mapBlack;

  static

    {

    // axisXright (right-YELLOW) axisXleft (left-WHITE) axisYright (top-BLUE) axisYleft (bottom-GREEN) axisZright (front-RED) axisZleft (back-BROWN)

    mapRight = new Static4D( 0*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapLeft  = new Static4D( 1*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapTop   = new Static4D( 2*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapBottom= new Static4D( 3*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapFront = new Static4D( 4*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapBack  = new Static4D( 5*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    mapBlack = new Static4D( 6*(1/7.0f), 0.0f, 1/7.0f, 1.0f);

    }

///////////////////////////////////////////////////////////////////////////////////////////////////

  void textureCubitMesh(MeshBase mesh, int x, int y, int z)

    {

    Static4D tmpRight = (x== mSize-1 ? mapRight :mapBlack);

    Static4D tmpLeft  = (x==       0 ? mapLeft  :mapBlack);

    Static4D tmpTop   = (y== mSize-1 ? mapTop   :mapBlack);

    Static4D tmpBottom= (y==       0 ? mapBottom:mapBlack);

    Static4D tmpFront = (z== mSize-1 ? mapFront :mapBlack);

    Static4D tmpBack  = (z==       0 ? mapBack  :mapBlack);

    Static4D[] maps = new Static4D[] { tmpRight, tmpLeft, tmpTop, tmpBottom, tmpFront, tmpBack};

    mesh.setTextureMap(maps);

    }

}