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.Bitmap;

import android.graphics.Canvas;

import android.graphics.Paint;

import org.distorted.library.main.DistortedEffects;

import org.distorted.library.main.DistortedTexture;

import org.distorted.library.mesh.MeshCubes;

import org.distorted.library.mesh.MeshRectangles;

import org.distorted.library.type.Static3D;

import org.distorted.library.type.Static4D;

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

class RubikCube extends RubikObject

{

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

  static

    {

    // 3x2 bitmap = 6 squares:

    //

    // RED     GREEN   BLUE

    // YELLOW  WHITE   BROWN

    final float ze = 0.0f;

    final float ot = 1.0f/3.0f;

    final float tt = 2.0f/3.0f;

    final float oh = 1.0f/2.0f;

    final float of = 1.0f/40.0f;

    mapFront = new Static4D(ze,oh, ze+ot,oh+oh);

    mapBack  = new Static4D(tt,ze, tt+ot,ze+oh);

    mapLeft  = new Static4D(ot,ze, ot+ot,ze+oh);

    mapRight = new Static4D(ze,ze, ze+ot,ze+oh);

    mapTop   = new Static4D(tt,oh, tt+ot,oh+oh);

    mapBottom= new Static4D(ot,oh, ot+ot,oh+oh);

    mapBlack = new Static4D(ze,ze, ze+of,ze+of);

    }

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

// 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;

    }

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

  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;

    }

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

// 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()

    {

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

    return new float[] { 0.0f , 0.5f , -0.5f , 1.0f , -1.0f , SQ2 , -SQ2 };

    }

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

  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;

    }

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

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

    {

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

    }

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

// PUBLIC API

  public void createTexture()

    {

    Bitmap bitmap;

    final int S = 128;

    final int W = 3*S;

    final int H = 2*S;

    final int R = S/10;

    final int M = S/20;

    Paint paint = new Paint();

    bitmap = Bitmap.createBitmap(W,H, Bitmap.Config.ARGB_8888);

    Canvas canvas = new Canvas(bitmap);

    paint.setAntiAlias(true);

    paint.setTextAlign(Paint.Align.CENTER);

    paint.setStyle(Paint.Style.FILL);

    // 3x2 bitmap = 6 squares:

    //

    // RED     GREEN   BLUE

    // YELLOW  WHITE   BROWN

    paint.setColor(0xff000000);                                  // BLACK BACKGROUND

    canvas.drawRect(0, 0, W, H, paint);                          //

    paint.setColor(0xffff0000);                                  // RED

    canvas.drawRoundRect(    M,   M,   S-M,   S-M, R, R, paint); //

    paint.setColor(0xff00ff00);                                  // GREEN

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

    paint.setColor(0xff0000ff);                                  // BLUE

    canvas.drawRoundRect(2*S+M,   M, 3*S-M,   S-M, R, R, paint); //

    paint.setColor(0xffffff00);                                  // YELLOW

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

    paint.setColor(0xffffffff);                                  // WHITE

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

    paint.setColor(0xffb5651d);                                  // BROWN

    canvas.drawRoundRect(2*S+M, S+M, 3*S-M, 2*S-M, R, R, paint); //

    mTexture.setTexture(bitmap);

    }

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

  MeshCubes createMesh(int vertices,int x, int y, int z)

    {

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

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

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

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

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

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

    return new MeshCubes(vertices,vertices,vertices, tmpFront, tmpBack, tmpLeft, tmpRight, tmpTop, tmpBottom);

    }

}