Magic Cube

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

// Copyright 2020 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.objects;

import android.content.res.Resources;

import android.graphics.Canvas;

import android.graphics.Paint;

import org.distorted.library.effect.MatrixEffectQuaternion;

import org.distorted.library.main.DistortedEffects;

import org.distorted.library.main.DistortedTexture;

import org.distorted.library.mesh.MeshBase;

import org.distorted.library.mesh.MeshSquare;

import org.distorted.library.type.Static3D;

import org.distorted.library.type.Static4D;

import org.distorted.main.RubikSurfaceView;

import java.util.Random;

import static org.distorted.effects.scramble.ScrambleEffect.START_AXIS;

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

public abstract class TwistyDino extends TwistyObject

{

  private static final float SQ3 = (float)Math.sqrt(3);

  // the four rotation axis of a RubikDino. Must be normalized.

  static final Static3D[] ROT_AXIS = new Static3D[]

         {

           new Static3D(+SQ3/3,+SQ3/3,+SQ3/3),

           new Static3D(+SQ3/3,+SQ3/3,-SQ3/3),

           new Static3D(+SQ3/3,-SQ3/3,+SQ3/3),

           new Static3D(+SQ3/3,-SQ3/3,-SQ3/3)

         };

  private static final int[] FACE_COLORS = new int[]

         {

           COLOR_YELLOW, COLOR_WHITE,

           COLOR_BLUE  , COLOR_GREEN,

           COLOR_RED   , COLOR_BROWN

         };

  // All legal rotation quats of a RubikDino

  static final Static4D[] QUATS = new Static4D[]

         {

           new Static4D(  0.0f,  0.0f,  0.0f,  1.0f ),

           new Static4D(  0.5f,  0.5f,  0.5f, -0.5f ),

           new Static4D(  0.0f,  0.0f,  1.0f,  0.0f ),

           new Static4D(  0.5f, -0.5f, -0.5f, -0.5f ),

           new Static4D(  0.5f,  0.5f,  0.5f,  0.5f ),

           new Static4D(  0.5f,  0.5f, -0.5f, -0.5f ),

           new Static4D(  0.5f, -0.5f,  0.5f, -0.5f ),

           new Static4D(  0.5f, -0.5f, -0.5f,  0.5f ),

           new Static4D(  0.0f,  1.0f,  0.0f,  0.0f ),

           new Static4D(  0.5f, -0.5f,  0.5f,  0.5f ),

           new Static4D(  1.0f,  0.0f,  0.0f,  0.0f ),

           new Static4D(  0.5f,  0.5f, -0.5f,  0.5f )

         };

  // centers of the 12 edges. Must be in the same order like QUATs above.

  private static final Static3D[] CENTERS = new Static3D[]

         {

           new Static3D( 0.0f, 1.5f, 1.5f ),

           new Static3D( 1.5f, 0.0f, 1.5f ),

           new Static3D( 0.0f,-1.5f, 1.5f ),

           new Static3D(-1.5f, 0.0f, 1.5f ),

           new Static3D( 1.5f, 1.5f, 0.0f ),

           new Static3D( 1.5f,-1.5f, 0.0f ),

           new Static3D(-1.5f,-1.5f, 0.0f ),

           new Static3D(-1.5f, 1.5f, 0.0f ),

           new Static3D( 0.0f, 1.5f,-1.5f ),

           new Static3D( 1.5f, 0.0f,-1.5f ),

           new Static3D( 0.0f,-1.5f,-1.5f ),

           new Static3D(-1.5f, 0.0f,-1.5f )

         };

  private static MeshBase mMesh;

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

  TwistyDino(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh,

             DistortedEffects effects, int[][] moves, ObjectList obj, Resources res, int scrWidth)

    {

    super(size, 60, quat, texture, mesh, effects, moves, obj, res, scrWidth);

    }

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

  int mulQuat(int q1, int q2)

    {

    Static4D result = RubikSurfaceView.quatMultiply(QUATS[q1],QUATS[q2]);

    float rX = result.get0();

    float rY = result.get1();

    float rZ = result.get2();

    float rW = result.get3();

    final float MAX_ERROR = 0.1f;

    float dX,dY,dZ,dW;

    for(int i=0; i<QUATS.length; i++)

      {

      dX = QUATS[i].get0() - rX;

      dY = QUATS[i].get1() - rY;

      dZ = QUATS[i].get2() - rZ;

      dW = QUATS[i].get3() - rW;

      if( dX<MAX_ERROR && dX>-MAX_ERROR &&

          dY<MAX_ERROR && dY>-MAX_ERROR &&

          dZ<MAX_ERROR && dZ>-MAX_ERROR &&

          dW<MAX_ERROR && dW>-MAX_ERROR  ) return i;

      dX = QUATS[i].get0() + rX;

      dY = QUATS[i].get1() + rY;

      dZ = QUATS[i].get2() + rZ;

      dW = QUATS[i].get3() + rW;

      if( dX<MAX_ERROR && dX>-MAX_ERROR &&

          dY<MAX_ERROR && dY>-MAX_ERROR &&

          dZ<MAX_ERROR && dZ>-MAX_ERROR &&

          dW<MAX_ERROR && dW>-MAX_ERROR  ) return i;

      }

    return -1;

    }

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

  float getScreenRatio()

    {

    return 0.5f;

    }

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

  Static4D[] getQuats()

    {

    return QUATS;

    }

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

  int getNumFaces()

    {

    return FACE_COLORS.length;

    }

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

  float getBasicStep()

    {

    return SQ3;

    }

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

  int getNumStickerTypes()

    {

    return 1;

    }

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

  int getNumCubitFaces()

    {

    return 4;

    }

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

  Static3D[] getCubitPositions(int size)

    {

    return CENTERS;

    }

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

  MeshBase createCubitMesh(int cubit)

    {

    if( mMesh==null ) mMesh = CubitFactory.getInstance().createDinoMesh();

    MeshBase mesh = mMesh.copy(true);

    MatrixEffectQuaternion quat = new MatrixEffectQuaternion( QUATS[cubit], new Static3D(0,0,0) );

    mesh.apply(quat,0xffffffff,0);

    return mesh;

    }

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

  void createFaceTexture(Canvas canvas, Paint paint, int face, int left, int top, int side)

    {

    float STROKE = 0.04f*side;

    float L= left;

    float H= 0.333f*side;

    float LEN = 0.5f*side;

    paint.setAntiAlias(true);

    paint.setStrokeWidth(STROKE);

    paint.setColor(FACE_COLORS[face]);

    paint.setStyle(Paint.Style.FILL);

    canvas.drawRect(left,top,left+side,top+side,paint);

    paint.setColor(INTERIOR_COLOR);

    paint.setStyle(Paint.Style.STROKE);

    canvas.drawLine( L      , H,  L+2*LEN, H    , paint);

    canvas.drawLine( L      , H,  L+  LEN, H+LEN, paint);

    canvas.drawLine( L+2*LEN, H,  L+  LEN, H+LEN, paint);

    float S1 = 0.150f*side;

    float S2 = 0.090f*side;

    float X  = 0.7f*S2;

    float Y  = 0.2f*S1;

    float LA = left+0.500f*side;

    float RA = left;

    float TA = 0.333f*side;

    float BA = 0.833f*side;

    canvas.drawArc( RA+X        , TA     , RA+X+S2  , TA+S2, 135,135, false, paint);

    canvas.drawArc( RA+side-S2-X, TA     , RA+side-X, TA+S2, 270,135, false, paint);

    canvas.drawArc( LA-S1/2     , BA-S1-Y, LA+S1/2  , BA-Y ,  45, 90, false, paint);

    }

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

  float returnMultiplier()

    {

    return 2.0f;

    }

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

  float[] getRowChances()

    {

    float[] chances = new float[3];

    chances[0] = 0.5f;

    chances[1] = 0.5f;

    chances[2] = 1.0f;

    return chances;

    }

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

// PUBLIC API

  public Static3D[] getRotationAxis()

    {

    return ROT_AXIS;

    }

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

  public int getBasicAngle()

    {

    return 3;

    }

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

  public int randomizeNewRotAxis(Random rnd, int oldRotAxis)

    {

    int numAxis = ROTATION_AXIS.length;

    if( oldRotAxis == START_AXIS )

      {

      return rnd.nextInt(numAxis);

      }

    else

      {

      int newVector = rnd.nextInt(numAxis-1);

      return (newVector>=oldRotAxis ? newVector+1 : newVector);

      }

    }

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

// only needed for solvers - there are no Dino solvers ATM)

  public String retObjectString()

    {

    return "";

    }

}