TwistyPuzzleLib

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

// Copyright 2020 Leszek Koltunski                                                               //

//                                                                                               //

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

//                                                                                               //

// along with the code. If not, check https://distorted.org/magic/License-Magic-Cube.html        //

import org.distorted.library.effect.MatrixEffectMove;

import org.distorted.library.effect.MatrixEffectQuaternion;

import org.distorted.library.effect.MatrixEffectScale;

import org.distorted.library.effect.VertexEffect;

import org.distorted.library.effect.VertexEffectDeform;

import org.distorted.library.mesh.MeshJoined;

import org.distorted.library.mesh.MeshPolygon;

import org.distorted.library.type.Static1D;

import org.distorted.library.type.Static3D;

import org.distorted.library.type.Static4D;

import java.util.ArrayList;

import static org.distorted.objectlib.main.TwistyObject.MESH_NICE;

public class FactoryCubit

  {

  private static final Static1D RADIUS = new Static1D(1);

  private static FactoryCubit mThis;

  private static final float[] mQuat1  = new float[4];

  private static final float[] mQuat2  = new float[4];

  private static final float[] mQuat3  = new float[4];

  private static class FaceTransform

    {

    int numFaces;

    float scale;

    float qx,qy,qz,qw;

  private static final ArrayList<FaceTransform> mNewFaceTransf = new ArrayList<>();

  private static final ArrayList<FaceTransform> mOldFaceTransf = new ArrayList<>();

  private static final ArrayList<StickerCoords> mStickerCoords = new ArrayList<>();

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

  private FactoryCubit()

    {

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

// H - height of the band in the middle

// alpha - angle of the edge  [0,90]

// dist - often in a polygon the distance from edge to center is not 1, but something else.

// This is the distance.

// K - where to begin the second, much more flat part of the band. [0,1]

// N - number of bands. N>=3

//

// theory: two distinct parts to the band:

// 1) (0,B) - steep

// 2) (B,1) - flat

//

// In first part, we have y = g(x) ; in second - y = g(f(x)) where

//

// g(x) = sqrt( R^2 - (x-D)^2 ) - R*cos(alpha)

// f(x) = ((D-B)/(1-B)*x + B*(1-D)/(1-B)

// h(x) = R*(sin(alpha) - sin(x))

// R = H/(1-cos(alpha))

// D = H*sin(alpha)

// B = h(K*alpha)

//

// The N points are taken at:

//

// 1) in the second part, there are K2 = (N-3)/3 such points

// 2) in the first - K1 = (N-3) - K2

// 3) also, the 3 points 0,B,1

//

// so we have the sequence A[i] of N points

//

// 0

// h((i+1)*(1-K)*alpha/(K1+1)) (i=0,1,...,K1-1)

// B

// (1-B)*(i+1)/(K2+1) + B   (i=0,i,...,K2-1)

// 1

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

  private float f(float D, float B, float x)

    {

    return ((D-B)*x + B*(1-D))/(1-B);

    }

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

  private float g(float R, float D, float x, float cosAlpha)

    {

    float d = x-D;

    return (float)(Math.sqrt(R*R-d*d)-R*cosAlpha);

    }

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

  private float h(float R, float sinAlpha, float x)

    {

    return R*(sinAlpha-(float)Math.sin(x));

    }

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

    float y1 = vertices[index1][1];

    float z1 = vertices[index1][2];

    float x2 = vertices[index2][0];

    float y2 = vertices[index2][1];

    float z2 = vertices[index2][2];

    float x3 = vertices[index3][0];

    float y3 = vertices[index3][1];

    float z3 = vertices[index3][2];

    float v1y = y2-y1;

    float v1z = z2-z1;

    float v2x = x3-x1;

    float v2y = y3-y1;

    float v2z = z3-z1;

    double A = Math.sqrt( (v1x*v1x+v1y*v1y+v1z*v1z) / (v2x*v2x+v2y*v2y+v2z*v2z) );

    return (v1x==A*v2x && v1y==A*v2y && v1z==A*v2z);

    }

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

    float y1 = vertices[index1][1];

    float z1 = vertices[index1][2];

    float x2 = vertices[index2][0];

    float y2 = vertices[index2][1];

    float z2 = vertices[index2][2];

    float x3 = vertices[index3][0];

    float y3 = vertices[index3][1];

    float z3 = vertices[index3][2];

    float v1y = y2-y1;

    float v1z = z2-z1;

    float v2x = x3-x1;

    float v2y = y3-y1;

    float v2z = z3-z1;

    mBuffer[0] = v1y*v2z - v2y*v1z;

    mBuffer[1] = v1z*v2x - v2z*v1x;

    mBuffer[2] = v1x*v2y - v2x*v1y;

    double len = mBuffer[0]*mBuffer[0] + mBuffer[1]*mBuffer[1] + mBuffer[2]*mBuffer[2];

    len = Math.sqrt(len);

    mBuffer[0] /= len;

    mBuffer[1] /= len;

    mBuffer[2] /= len;

    }

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

    float maxX =-Float.MAX_VALUE;

    float minY = Float.MAX_VALUE;

    float maxY =-Float.MAX_VALUE;

      float y = vert[1];

      if (x > maxX) maxX = x;

      if (x < minX) minX = x;

      if (y > maxY) maxY = y;

      if (y < minY) minY = y;

      }

    minX = minX<0 ? -minX:minX;

    maxX = maxX<0 ? -maxX:maxX;

    minY = minY<0 ? -minY:minY;

    maxY = maxY<0 ? -maxY:maxY;

    float max2 = Math.max(maxX,maxY);

    float max3 = Math.max(max1,max2);

    int len = vert3D.length;

    StickerCoords sInfo = new StickerCoords();

    for( int vertex=0; vertex<len; vertex++ )

      {

      sInfo.vertices[2*vertex  ] = vert3D[vertex][0] / info.scale;

      sInfo.vertices[2*vertex+1] = vert3D[vertex][1] / info.scale;

      }

    mStickerCoords.add(sInfo);

    info.sticker = mStickerCoords.size() -1;

    }

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

    FaceTransform ft = new FaceTransform();

    ft.numFaces = numFaces;

    // compute center of gravity

    ft.vx = 0.0f;

    ft.vy = 0.0f;

    ft.vz = 0.0f;

    int len = vert3D.length;

      ft.vx += vert[0];

      ft.vy += vert[1];

      ft.vz += vert[2];

      }

    ft.vx /= len;

    ft.vy /= len;

    ft.vz /= len;

    // move all vertices so that their center of gravity is at (0,0,0)

    for (int i=0; i<len; i++)

      {

      vert3D[i][0] -= ft.vx;

      vert3D[i][1] -= ft.vy;

      vert3D[i][2] -= ft.vz;

      }

    // find 3 non-colinear vertices

    int foundIndex = -1;

    for(int vertex=2; vertex<len; vertex++)

      {

      if( !areColinear(vert3D,0,1,vertex) )

        {

        foundIndex = vertex;

        break;

        }

      }

    // compute the normal vector

    if( foundIndex==-1 )

      {

      throw new RuntimeException("all vertices colinear");

      }

    computeNormalVector(vert3D,0,1,foundIndex);

    // rotate so that the normal vector becomes (0,0,1)

    if( mBuffer[0]!=0.0f || mBuffer[1]!=0.0f )

      {

      axisX = -mBuffer[1];

      axisY =  mBuffer[0];

      axisZ = 0.0f;

      axiLen = (float)Math.sqrt(axiLen);

      axisY /= axiLen;

      axisZ /= axiLen;

      }

    else

      {

      axisX = 0.0f;

      axisY = 1.0f;

      axisZ = 0.0f;

      }

    float sinTheta = (float)Math.sqrt(1-cosTheta*cosTheta);

    float sinHalfTheta = computeSinHalf(cosTheta);

    float cosHalfTheta = computeCosHalf(sinTheta,cosTheta);

    mQuat1[0] = axisX*sinHalfTheta;

    mQuat1[1] = axisY*sinHalfTheta;

    mQuat1[2] = axisZ*sinHalfTheta;

    mQuat1[3] = cosHalfTheta;

    mQuat2[0] =-axisX*sinHalfTheta;

    mQuat2[1] =-axisY*sinHalfTheta;

    mQuat2[2] =-axisZ*sinHalfTheta;

    mQuat2[3] = cosHalfTheta;

      QuatHelper.quatMultiply(  vert, mQuat3, mQuat2);

    // fit the whole thing in a square and remember the scale & 2D vertices

    // remember the rotation

    ft.qx =-mQuat1[0];

    ft.qy =-mQuat1[1];

    ft.qz =-mQuat1[2];

    ft.qw = mQuat1[3];

    return ft;

    }

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

    for(int i=0; i<len; i++)

      {

      result[2*i  ] = vertices[2*i  ]*cos - vertices[2*i+1]*sin;

      result[2*i+1] = vertices[2*i  ]*sin + vertices[2*i+1]*cos;

      }

    }

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

    float v1y = v1[2*v1i+1];

    float v2x = v2[2*v2i];

    float v2y = v2[2*v2i+1];

    float lenSq2 = v2x*v2x + v2y*v2y;

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

// valid for 0<angle<2*PI

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

// valid for 0<angle<2*PI

    }

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

    if( v< 0   ) v+=len;

    return v;

    }

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

    float scale = computeScale(newVert,oldVert,newZeroIndex,0);

    for(int i=1; i<len; i++)

      {

      float vert = oldVert[2*i+1] - scale*newVert[2*index+1];

      if( horz>EPSILON || horz<-EPSILON || vert>EPSILON || vert<-EPSILON ) return false;

      }

    return true;

    }

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

    mStickerCoords.remove(info.sticker);

    info.sticker = oldSticker;

    info.scale  *= scale;

    mQuat1[0] = info.qx;

    mQuat1[1] = info.qy;

    mQuat1[2] = info.qz;

    mQuat1[3] = info.qw;

    float cosHalf = computeCosHalf(sin,cos);

    mQuat2[1] = 0.0f;

    mQuat2[2] = sinHalf;

    mQuat2[3] = cosHalf;

    info.qx = mQuat3[0];

    info.qy = mQuat3[1];

    info.qz = mQuat3[2];

    info.qw = mQuat3[3];

    }

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

  private void printVert(double[] buffer)

    {

    int len = buffer.length/2;

    String str = "";

    for(int i=0; i<len; i++)

      {

      str += (" ("+buffer[2*i]+" , "+buffer[2*i+1]+" ) ");

      }

    android.util.Log.d("D", str);

    }

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

    float lenOld=0.0f, oldX=0.0f, oldY=0.0f;

    for(int oldV=0; oldV<lenVertOld; oldV++)

      {

      oldX = oldVert[2*oldV];

      oldY = oldVert[2*oldV+1];

      lenOld = (float)Math.sqrt(oldX*oldX + oldY*oldY);

      if( lenOld!=0 ) break;

      }

      {

      float newY = newVert[2*vertex+1];

        float sin = (float)QuatHelper.computeSin( oldX, oldY, newX, newY, lenNew, lenOld);

        rotateAllVertices(buffer,len,newVert,sin,cos);

        if( isScaledVersionOf(buffer,oldVert,len,vertex) )

          {

          int newZeroIndex = computeRotatedIndex(0,len,vertex);

          float scale = computeScale(oldVert,newVert,0,newZeroIndex);

          correctInfo(info,scale,sin,cos,oldSticker);

          return true;

          }

      }

    return false;

    }

  private float computeCoreDistance(float[] verts)

    {

    float ret = 0.0f;

    float centerX=0.0f,centerY=0.0f;

    int len = verts.length/2;

    for(int i=0; i<len; i++)

      {

      centerX += verts[2*i  ];

      centerY += verts[2*i+1];

      }

    centerX /= (2*len);

    centerY /= (2*len);

    for(int i=0; i<len; i++)

      {

      float distX = centerX-verts[2*i  ];

      float distY = centerY-verts[2*i+1];

      ret += (float)Math.sqrt(distX*distX + distY*distY);

      }

    return ret;

    }

  private boolean successfullyCollapsedStickers(final FaceTransform newInfo, final FaceTransform oldInfo)

    {

    StickerCoords sNewInfo = mStickerCoords.get(newInfo.sticker);

    StickerCoords sOldInfo = mStickerCoords.get(oldInfo.sticker);

    float[] oldVert = sOldInfo.vertices;

    int newLen = newVert.length;

      float diff = (coreDistOld*oldInfo.scale)/(coreDistNew*newInfo.scale); // collapse them into one. Example: Master Skewb

      if( diff<1.0-MAX_CORE_DIFF || diff>1.0+MAX_CORE_DIFF ) return false;  // and two triangular stickers of different size.

      if( foundVertex(newInfo, buffer1, oldLen/2, newVert, oldVert, oldSticker) )

        }

    return false;

    }

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

    int len = index.length;

    for(int i=0; i<len; i++)

      {

      ret[i][0] = vertices[index[i]][0];

      ret[i][1] = vertices[index[i]][1];

      ret[i][2] = vertices[index[i]][2];

      ret[i][3] = 1.0f;

      }

    return ret;

    }

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

                                      float[][] centers, int[] centerIndexes )

    {

    int lenV = vertices.length;

    Static3D[] staticVert = new Static3D[1];

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

    for(int v=0; v<lenV; v++)

      {

      int cent = centerIndexes[v];

      if( cent>=0 )

        {

        center.set( centers[cent][0], centers[cent][1], centers[cent][2]);

        int corn = cornerIndexes[v];

        if( corn>=0 )

          {

          float strength = corners[corn][0];

          float radius   = corners[corn][1];

          roundCorners(mesh, center, staticVert, strength, radius);

          }

        }

      }

    }

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

  private void correctComponents(MeshBase mesh, int numComponents)

    {

    int numTexToBeAdded = numComponents-mesh.getNumTexComponents();

    mesh.mergeEffComponents();

    for(int i=0; i<numTexToBeAdded; i++ ) mesh.addEmptyTexComponent();

    }

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

  private void printTransform(FaceTransform f)

    {