Revision ead91342
Added by Leszek Koltunski over 3 years ago
| src/main/java/org/distorted/objects/TwistyKilominx.java | ||
|---|---|---|
| 31 | 31 |
import org.distorted.library.type.Static3D; |
| 32 | 32 |
import org.distorted.library.type.Static4D; |
| 33 | 33 |
import org.distorted.main.R; |
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import org.distorted.main.RubikSurfaceView; |
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import static org.distorted.objects.FactoryCubit.COS18; |
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import static org.distorted.objects.FactoryCubit.COS54; |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
| 36 | 40 |
|
| ... | ... | |
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|
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private int numCubitsPerCorner(int numLayers) |
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{
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return 3*((numLayers-3)/2)*((numLayers-5)/2) + (numLayers>=5 ? 1 : 0);
|
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return 3*((numLayers-3)/2)*((numLayers-5)/2) + (numLayers<5 ? 0:1);
|
|
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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|
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private int numCubitsPerEdge(int numLayers) |
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{
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return numLayers<5 ? 0 : numLayers-4;
|
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return numLayers<5 ? 0 : 2*(numLayers-4);
|
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} |
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|
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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 numLayers == 3 ? 1 : numLayers/2 + 1;
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return numLayers<5 ? 1 : numLayers/2 + 1;
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
| ... | ... | |
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// TODO |
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|
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float[] getCuts(int numLayers) |
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{
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return new float[] { -0.5f , 0.5f };
|
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float[] cuts = new float[numLayers-1]; |
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float D = numLayers*MovementMinx.DIST3D; |
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float E = 2*C1; // 2*cos(36 deg) |
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float X = 2*D*E/(1+2*E); // height of the 'upper' part of a dodecahedron, i.e. put it on a table, |
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// its height is then D*2*DIST3D, it has one 'lower' part of height X, one |
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// 'middle' part of height Y and one upper part of height X again. |
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// It's edge length = numLayers/3.0f. |
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int num = (numLayers-1)/2; |
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float G = X*0.5f/num; // height of one Layer |
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|
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for(int i=0; i<num; i++) |
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{
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cuts[ i] = -D + (i+0.5f)*G; |
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cuts[2*num-1-i] = -cuts[i]; |
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} |
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return cuts; |
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// Fill out mCurrCorner{X,Y,Z} by applying appropriate Quat to mBasicCorner{X,Y,Z}
|
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// Appropriate one: QUATS[QUAT_INDICES[corner]]. |
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private void computeBasicCornerVectors(int corner) |
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{
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Static4D quat = QUATS[QUAT_CORNER_INDICES[corner]]; |
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|
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mCurrCornerV[0] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[0],quat); |
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mCurrCornerV[1] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[1],quat); |
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mCurrCornerV[2] = RubikSurfaceView.rotateVectorByQuat(mBasicCornerV[2],quat); |
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} |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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|
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private float[] computeCorner(int numCubitsPerCorner, int numLayers, int corner, int part) |
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{
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float D = numLayers/3.0f; |
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float[] corn = CORNERS[corner]; |
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|
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if( part==0 ) |
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{
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return new float[] { corn[0]*D, corn[1]*D, corn[2]*D };
|
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} |
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else |
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{
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float E = D/(0.5f*(numLayers-1)); // ?? maybe 0.5* |
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int N = (numCubitsPerCorner-1)/3; |
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int block = (part-1) % N; |
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int index = (part-1) / N; |
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Static4D pri = mCurrCornerV[index]; |
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Static4D sec = mCurrCornerV[(index+2)%3]; |
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int layers= (numLayers-5)/2; |
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int multP = (block % layers) + 1; |
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int multS = (block / layers); |
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return new float[] {
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corn[0]*D + (pri.get0()*multP + sec.get0()*multS)*E, |
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corn[1]*D + (pri.get1()*multP + sec.get1()*multS)*E, |
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corn[2]*D + (pri.get2()*multP + sec.get2()*multS)*E |
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}; |
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} |
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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|
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private float[] computeCenter(int numLayers, int center, int part) |
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{
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int corner = mCenterMap[center][part]; |
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float[] cent = mCenterCoords[center]; |
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float[] corn = CORNERS[corner]; |
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float D = numLayers/3.0f; |
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float F = 1.0f - (2.0f*numLayers-6.0f)/(numLayers-1)*COS54*COS54; |
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return new float[] |
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{
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D * ( cent[0] + (corn[0]-cent[0])*F), |
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D * ( cent[1] + (corn[1]-cent[1])*F), |
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D * ( cent[2] + (corn[2]-cent[2])*F) |
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}; |
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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private int computeEdgeType(int cubit, int numCubitsPerCorner, int numCubitsPerEdge) |
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{
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int part = (cubit - NUM_CORNERS*numCubitsPerCorner) % numCubitsPerEdge; |
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return (part+1)/2; |
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} |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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private float[] computeEdge(int numLayers, int edge, int part) |
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{
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float D = numLayers/3.0f; |
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float[] c1 = CORNERS[ mEdgeMap[edge][0] ]; |
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float[] c2 = CORNERS[ mEdgeMap[edge][1] ]; |
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float x = D * (c1[0]+c2[0]) / 2; |
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float y = D * (c1[1]+c2[1]) / 2; |
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float z = D * (c1[2]+c2[2]) / 2; |
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part /= 2; |
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if( part==0 ) |
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{
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return new float[] { x, y, z };
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} |
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else |
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{
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int mult = (part+1)/2; |
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int dir = (part+1)%2; |
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float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ]; |
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float vX = D*center[0] - x; |
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float vY = D*center[1] - y; |
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float vZ = D*center[2] - z; |
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float A = mult*D*COS18/(numLayers-1); |
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A /= (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ); |
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return new float[] { x+A*vX, y+A*vY, z+A*vZ };
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} |
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} |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// TODO |
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float[][] getCubitPositions(int numLayers) |
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{
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return CORNERS; |
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if( numLayers<5 ) return CORNERS; |
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int numCubitsPerCorner = numCubitsPerCorner(numLayers); |
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int numCubitsPerEdge = numCubitsPerEdge(numLayers); |
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int numCubitsPerCenter = 5; |
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int numCubits = NUM_CORNERS*numCubitsPerCorner + NUM_EDGES*numCubitsPerEdge + NUM_CENTERS*numCubitsPerCenter; |
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int index=0; |
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final float[][] CENTERS = new float[numCubits][]; |
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for(int corner=0; corner<NUM_CORNERS; corner++) |
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{
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computeBasicCornerVectors(corner); |
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for(int part=0; part<numCubitsPerCorner; part++, index++) |
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{
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CENTERS[index] = computeCorner(numCubitsPerCorner,numLayers,corner,part); |
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} |
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} |
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for(int edge=0; edge<NUM_EDGES; edge++) |
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{
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for(int part=0; part<numCubitsPerEdge; part++, index++) |
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{
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CENTERS[index] = computeEdge(numLayers, edge, part ); |
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} |
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} |
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for(int center=0; center<NUM_CENTERS; center++, index++) |
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{
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for(int part=0; part<numCubitsPerCenter; part++, index++) |
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{
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CENTERS[index] = computeCenter(numLayers,center, part); |
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} |
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} |
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return CENTERS; |
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} |
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|
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
| src/main/java/org/distorted/objects/TwistyMegaminx.java | ||
|---|---|---|
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{
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static final float MEGA_D = 0.04f; |
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private static final int NUM_CORNERS = 20; |
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private static final int NUM_CENTERS = 12; |
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private static final int NUM_EDGES = 30; |
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|
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// the five vertices that form a given face. Order: the same as colors |
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// of the faces in TwistyMinx. |
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private static final int[][] mCenterMap = |
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{
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{ 0, 12, 4, 14, 2},
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{ 0, 2, 18, 6, 16},
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{ 6, 18, 11, 19, 7},
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{ 3, 15, 9, 11, 19},
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{ 4, 5, 15, 9, 14},
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{ 1, 13, 5, 15, 3},
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{ 1, 3, 19, 7, 17},
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{10, 16, 6, 7, 17},
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{ 0, 12, 8, 10, 16},
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{ 8, 13, 5, 4, 12},
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{ 1, 13, 8, 10, 17},
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{ 2, 14, 9, 11, 18},
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}; |
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// the quadruple ( vertex1, vertex2, face1, face2 ) defining an edge. |
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// In fact the 2 vertices already define it, the faces only provide easy |
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// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on |
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// the 'left' or right of vector vertex1 --> vertex2, according to Quat. |
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private static final int[][] mEdgeMap = |
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{
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{ 0, 12, 0, 8},
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{ 12, 4, 0, 9},
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{ 4, 14, 0, 4},
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{ 14, 2, 0, 11},
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{ 2, 0, 0, 1},
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{ 14, 9, 4, 11},
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{ 9, 11, 3, 11},
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{ 11, 18, 2, 11},
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{ 18, 2, 1, 11},
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{ 18, 6, 1, 2},
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{ 6, 16, 1, 7},
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{ 16, 0, 8, 1},
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{ 16, 10, 7, 8},
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{ 10, 8, 10, 8},
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{ 8, 12, 9, 8},
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{ 8, 13, 9, 10},
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{ 13, 5, 9, 5},
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{ 5, 4, 9, 4},
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{ 5, 15, 5, 4},
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{ 15, 9, 3, 4},
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{ 11, 19, 2, 3},
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{ 19, 7, 2, 6},
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{ 7, 6, 2, 7},
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{ 7, 17, 7, 6},
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{ 17, 10, 7, 10},
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{ 17, 1, 10, 6},
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{ 1, 3, 5, 6},
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{ 3, 19, 3, 6},
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{ 1, 13, 10, 5},
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{ 3, 15, 3, 5},
|
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}; |
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|
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| 108 | 47 |
private static final int[] QUAT_EDGE_INDICES = |
| 109 | 48 |
{
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| 110 | 49 |
56, 40, 43, 59, 0, 55, 10, 17, 25, 49, |
| ... | ... | |
| 117 | 56 |
16, 18, 22, 1, 20, 13, 14, 15, 0, 12, 2, 3 |
| 118 | 57 |
}; |
| 119 | 58 |
|
| 120 |
private static final float[][] mCenterCoords = new float[NUM_CENTERS][3]; |
|
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|
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static |
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{
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for(int center=0; center<NUM_CENTERS; center++) |
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{
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int[] map = mCenterMap[center]; |
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|
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| 128 |
float x = CORNERS[map[0]][0] + |
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CORNERS[map[1]][0] + |
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CORNERS[map[2]][0] + |
|
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CORNERS[map[3]][0] + |
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CORNERS[map[4]][0] ; |
|
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|
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| 134 |
float y = CORNERS[map[0]][1] + |
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CORNERS[map[1]][1] + |
|
| 136 |
CORNERS[map[2]][1] + |
|
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CORNERS[map[3]][1] + |
|
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CORNERS[map[4]][1] ; |
|
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|
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| 140 |
float z = CORNERS[map[0]][2] + |
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CORNERS[map[1]][2] + |
|
| 142 |
CORNERS[map[2]][2] + |
|
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CORNERS[map[3]][2] + |
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CORNERS[map[4]][2] ; |
|
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|
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mCenterCoords[center][0] = x/5; |
|
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mCenterCoords[center][1] = y/5; |
|
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mCenterCoords[center][2] = z/5; |
|
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} |
|
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} |
|
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|
|
| 152 | 59 |
private static MeshBase[] mCenterMeshes, mCornerMeshes; |
| 153 | 60 |
private static MeshBase[][] mEdgeMeshes; |
| 154 | 61 |
|
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private static final Static4D[] mBasicCornerV, mCurrCornerV; |
|
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|
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static |
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{
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mBasicCornerV = new Static4D[3]; |
|
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mCurrCornerV = new Static4D[3]; |
|
| 161 |
|
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| 162 |
mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f ); |
|
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mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f ); |
|
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mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f ); |
|
| 165 |
} |
|
| 166 |
|
|
| 167 | 62 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| 168 | 63 |
|
| 169 | 64 |
TwistyMegaminx(int size, Static4D quat, DistortedTexture texture, MeshSquare mesh, |
| ... | ... | |
| 259 | 154 |
} |
| 260 | 155 |
else |
| 261 | 156 |
{
|
| 262 |
float E = 2.0f*(numLayers/3.0f)*(0.5f-MEGA_D)/(0.5f*(numLayers-1));
|
|
| 157 |
float E = 2.0f*D*(0.5f-MEGA_D)/(0.5f*(numLayers-1));
|
|
| 263 | 158 |
int N = (numCubitsPerCorner-1)/3; |
| 264 | 159 |
int block = (part-1) % N; |
| 265 | 160 |
int index = (part-1) / N; |
| 266 | 161 |
Static4D pri = mCurrCornerV[index]; |
| 267 | 162 |
Static4D sec = mCurrCornerV[(index+2)%3]; |
| 268 | 163 |
|
| 269 |
int multP = (block % ((numLayers-3)/2)) + 1; |
|
| 270 |
int multS = (block / ((numLayers-3)/2)); |
|
| 164 |
int layers= (numLayers-5)/2; |
|
| 165 |
int multP = (block % layers) + 1; |
|
| 166 |
int multS = (block / layers); |
|
| 271 | 167 |
|
| 272 | 168 |
return new float[] {
|
| 273 | 169 |
corn[0]*D + (pri.get0()*multP + sec.get0()*multS)*E, |
| ... | ... | |
| 289 | 185 |
|
| 290 | 186 |
private float[] computeEdge(int numLayers, int edge, int part) |
| 291 | 187 |
{
|
| 292 |
float corr = numLayers/3.0f;
|
|
| 188 |
float D = numLayers/3.0f;
|
|
| 293 | 189 |
|
| 294 | 190 |
float[] c1 = CORNERS[ mEdgeMap[edge][0] ]; |
| 295 | 191 |
float[] c2 = CORNERS[ mEdgeMap[edge][1] ]; |
| 296 |
float x = corr * (c1[0]+c2[0]) / 2;
|
|
| 297 |
float y = corr * (c1[1]+c2[1]) / 2;
|
|
| 298 |
float z = corr * (c1[2]+c2[2]) / 2;
|
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| 192 |
float x = D * (c1[0]+c2[0]) / 2;
|
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| 193 |
float y = D * (c1[1]+c2[1]) / 2;
|
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| 194 |
float z = D * (c1[2]+c2[2]) / 2;
|
|
| 299 | 195 |
|
| 300 | 196 |
if( part==0 ) |
| 301 | 197 |
{
|
| ... | ... | |
| 307 | 203 |
int dir = (part+1)%2; |
| 308 | 204 |
float[] center = mCenterCoords[ mEdgeMap[edge][dir+2] ]; |
| 309 | 205 |
|
| 310 |
float vX = corr*center[0] - x;
|
|
| 311 |
float vY = corr*center[1] - y;
|
|
| 312 |
float vZ = corr*center[2] - z;
|
|
| 206 |
float vX = D*center[0] - x;
|
|
| 207 |
float vY = D*center[1] - y;
|
|
| 208 |
float vZ = D*center[2] - z;
|
|
| 313 | 209 |
|
| 314 |
float len = (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
|
|
| 315 |
float A = mult*corr*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f)/len;
|
|
| 210 |
float A = mult*D*(0.5f-MEGA_D)*COS18/((numLayers-1)*0.5f);
|
|
| 211 |
A /= (float)Math.sqrt(vX*vX+vY*vY+vZ*vZ);
|
|
| 316 | 212 |
|
| 317 | 213 |
return new float[] { x+A*vX, y+A*vY, z+A*vZ };
|
| 318 | 214 |
} |
| src/main/java/org/distorted/objects/TwistyMinx.java | ||
|---|---|---|
| 35 | 35 |
{
|
| 36 | 36 |
private static final int FACES_PER_CUBIT =6; |
| 37 | 37 |
|
| 38 |
static final int NUM_CORNERS = 20; |
|
| 39 |
static final int NUM_CENTERS = 12; |
|
| 40 |
static final int NUM_EDGES = 30; |
|
| 41 |
|
|
| 38 | 42 |
static final float C0 = (SQ5-1)/4; // cos(72 deg) |
| 39 | 43 |
static final float C1 = (SQ5+1)/4; // cos(36 deg) |
| 40 | 44 |
static final float C2 = (SQ5+3)/4; |
| ... | ... | |
| 206 | 210 |
{false, true, true, true, true, false}
|
| 207 | 211 |
}; |
| 208 | 212 |
|
| 213 |
// the quadruple ( vertex1, vertex2, face1, face2 ) defining an edge. |
|
| 214 |
// In fact the 2 vertices already define it, the faces only provide easy |
|
| 215 |
// way to get to know the colors. Order: arbitrary. Face1 arbitrarily on |
|
| 216 |
// the 'left' or right of vector vertex1 --> vertex2, according to Quat. |
|
| 217 |
static final int[][] mEdgeMap = |
|
| 218 |
{
|
|
| 219 |
{ 0, 12, 0, 8},
|
|
| 220 |
{ 12, 4, 0, 9},
|
|
| 221 |
{ 4, 14, 0, 4},
|
|
| 222 |
{ 14, 2, 0, 11},
|
|
| 223 |
{ 2, 0, 0, 1},
|
|
| 224 |
{ 14, 9, 4, 11},
|
|
| 225 |
{ 9, 11, 3, 11},
|
|
| 226 |
{ 11, 18, 2, 11},
|
|
| 227 |
{ 18, 2, 1, 11},
|
|
| 228 |
{ 18, 6, 1, 2},
|
|
| 229 |
{ 6, 16, 1, 7},
|
|
| 230 |
{ 16, 0, 8, 1},
|
|
| 231 |
{ 16, 10, 7, 8},
|
|
| 232 |
{ 10, 8, 10, 8},
|
|
| 233 |
{ 8, 12, 9, 8},
|
|
| 234 |
{ 8, 13, 9, 10},
|
|
| 235 |
{ 13, 5, 9, 5},
|
|
| 236 |
{ 5, 4, 9, 4},
|
|
| 237 |
{ 5, 15, 5, 4},
|
|
| 238 |
{ 15, 9, 3, 4},
|
|
| 239 |
{ 11, 19, 2, 3},
|
|
| 240 |
{ 19, 7, 2, 6},
|
|
| 241 |
{ 7, 6, 2, 7},
|
|
| 242 |
{ 7, 17, 7, 6},
|
|
| 243 |
{ 17, 10, 7, 10},
|
|
| 244 |
{ 17, 1, 10, 6},
|
|
| 245 |
{ 1, 3, 5, 6},
|
|
| 246 |
{ 3, 19, 3, 6},
|
|
| 247 |
{ 1, 13, 10, 5},
|
|
| 248 |
{ 3, 15, 3, 5},
|
|
| 249 |
}; |
|
| 250 |
|
|
| 251 |
// the five vertices that form a given face. Order: the same as colors |
|
| 252 |
// of the faces in TwistyMinx. |
|
| 253 |
static final int[][] mCenterMap = |
|
| 254 |
{
|
|
| 255 |
{ 0, 12, 4, 14, 2},
|
|
| 256 |
{ 0, 2, 18, 6, 16},
|
|
| 257 |
{ 6, 18, 11, 19, 7},
|
|
| 258 |
{ 3, 15, 9, 11, 19},
|
|
| 259 |
{ 4, 5, 15, 9, 14},
|
|
| 260 |
{ 1, 13, 5, 15, 3},
|
|
| 261 |
{ 1, 3, 19, 7, 17},
|
|
| 262 |
{10, 16, 6, 7, 17},
|
|
| 263 |
{ 0, 12, 8, 10, 16},
|
|
| 264 |
{ 8, 13, 5, 4, 12},
|
|
| 265 |
{ 1, 13, 8, 10, 17},
|
|
| 266 |
{ 2, 14, 9, 11, 18},
|
|
| 267 |
}; |
|
| 268 |
|
|
| 269 |
static final float[][] mCenterCoords = new float[NUM_CENTERS][3]; |
|
| 270 |
|
|
| 271 |
static |
|
| 272 |
{
|
|
| 273 |
for(int center=0; center<NUM_CENTERS; center++) |
|
| 274 |
{
|
|
| 275 |
int[] map = mCenterMap[center]; |
|
| 276 |
|
|
| 277 |
float x = CORNERS[map[0]][0] + |
|
| 278 |
CORNERS[map[1]][0] + |
|
| 279 |
CORNERS[map[2]][0] + |
|
| 280 |
CORNERS[map[3]][0] + |
|
| 281 |
CORNERS[map[4]][0] ; |
|
| 282 |
|
|
| 283 |
float y = CORNERS[map[0]][1] + |
|
| 284 |
CORNERS[map[1]][1] + |
|
| 285 |
CORNERS[map[2]][1] + |
|
| 286 |
CORNERS[map[3]][1] + |
|
| 287 |
CORNERS[map[4]][1] ; |
|
| 288 |
|
|
| 289 |
float z = CORNERS[map[0]][2] + |
|
| 290 |
CORNERS[map[1]][2] + |
|
| 291 |
CORNERS[map[2]][2] + |
|
| 292 |
CORNERS[map[3]][2] + |
|
| 293 |
CORNERS[map[4]][2] ; |
|
| 294 |
|
|
| 295 |
mCenterCoords[center][0] = x/5; |
|
| 296 |
mCenterCoords[center][1] = y/5; |
|
| 297 |
mCenterCoords[center][2] = z/5; |
|
| 298 |
} |
|
| 299 |
} |
|
| 300 |
|
|
| 301 |
static final Static4D[] mBasicCornerV, mCurrCornerV; |
|
| 302 |
|
|
| 303 |
static |
|
| 304 |
{
|
|
| 305 |
mBasicCornerV = new Static4D[3]; |
|
| 306 |
mCurrCornerV = new Static4D[3]; |
|
| 307 |
|
|
| 308 |
mBasicCornerV[0] = new Static4D( (SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f ); |
|
| 309 |
mBasicCornerV[1] = new Static4D(-(SQ5+1)*0.125f, (SQ5-1)*0.125f, -0.250f, 0.0f ); |
|
| 310 |
mBasicCornerV[2] = new Static4D( 0, -0.500f, 0.0f, 0.0f ); |
|
| 311 |
} |
|
| 312 |
|
|
| 313 |
|
|
| 209 | 314 |
/////////////////////////////////////////////////////////////////////////////////////////////////// |
| 210 | 315 |
|
| 211 | 316 |
TwistyMinx(int numLayers, int realSize, Static4D quat, DistortedTexture texture, MeshSquare mesh, |
Also available in: Unified diff
Progress with any size Kilominx.