private void Square2Triangle()
{
Point2D posA = new Point2D(-1.0, 0);
Point2D posB = new Point2D(1.0, 0);
Point2D posC = new Point2D(0, Math.Sqrt(3));
int half = m_net.Size / 2;
int full = m_net.Size - 1;
AlignToSeg AC = new AlignToSeg(posA, posC);
AlignToSeg OB = new AlignToSeg(Point2D.Origin, posB);
AlignToSeg AO = new AlignToSeg(posA, Point2D.Origin);
AlignToSeg BC = new AlignToSeg(posB, posC);
AlignToSeg CO = new AlignToSeg(posC, Point2D.Origin);
AlignCombo Left = new AlignCombo();
Left.AddAligner(AC);
Left.AddAligner(AO);
AlignCombo Right = new AlignCombo();
Right.AddAligner(BC);
Right.AddAligner(OB);
//edges
m_net.AlignEdge(m_net[0, 0], m_net[0, full], Left);
m_net.AlignEdge(m_net[0, full], m_net[half, full], Left);
m_net.AlignEdge(m_net[half, 0], m_net[0, 0], Left);
m_net.AlignEdge(m_net[half, full], m_net[full, full], Right);
m_net.AlignEdge(m_net[full, full], m_net[full, 0], Right);
m_net.AlignEdge(m_net[half, 0], m_net[full, 0], Right);
//centerline
m_net.AlignEdge(m_net[half, 0], m_net[half, full], CO);
m_net[half, 0].Alignment = new AlignFixed(Point2D.Origin);
m_net[half, full].Alignment = new AlignFixed(posC);
m_net[0, 0].Alignment = new AlignFixed(posA);
m_net[full, 0].Alignment = new AlignFixed(posB);
//precondition the points:
if( m_bFirstPass)
for (int i = 0; i < m_net.Size; i++)
for (int j = 0; j < m_net.Size; j++)
{
m_net[i, j].Position = m_net[i, j].Position * 2.0 / (double)m_net.Size + new Point2D(-1.0, 0);
}
}
//will do in a pinch
private void Square2Heart()
{
Point2D
A = new Point2D(-2.0, 0),
B = new Point2D(-1.0, 0),
C = new Point2D(0, 0),
D = new Point2D(1.0, 0),
E = new Point2D(2.0, 0),
F = new Point2D(-Math.Sqrt(2.0), -Math.Sqrt(2.0)),
G = new Point2D(Math.Sqrt(2.0), -Math.Sqrt(2.0)),
H = new Point2D(0, -2.0 * Math.Sqrt(2));
Aligner HtoF = new AlignToSeg(H, F);
Aligner HtoG = new AlignToSeg(H, G);
Aligner FtoA = new AlignToArc(C, 2.0, A, F);
Aligner EtoG = new AlignToArc(C, 2.0, G, E);
Aligner AtoC = new AlignToArc(B, 1.0, C, A);
Aligner CtoE = new AlignToArc(D, 1.0, E, C);
AlignCombo Left = new AlignCombo();
Left.AddAligner(HtoF);
Left.AddAligner(FtoA);
Left.AddAligner(AtoC);
AlignCombo Right = new AlignCombo();
Right.AddAligner(HtoG);
Right.AddAligner(EtoG);
Right.AddAligner(CtoE);
m_net.AlignEdge(m_net[0, 0], m_net[m_net.Size - 1, m_net.Size - 1], new AlignToSeg(H, C));
m_net.AlignEdge(m_net[0, 0], m_net[0, m_net.Size - 1], Left);
m_net.AlignEdge(m_net[0, 0], m_net[m_net.Size - 1, 0], Right);
int quarter = m_net.Size / 4;
m_net.AlignEdge(m_net[0, m_net.Size - 1], m_net[quarter, m_net.Size - 1], Left);
m_net.AlignEdge(m_net[m_net.Size - 1, 0], m_net[m_net.Size - 1, quarter], Right);
for (int i = quarter; i < m_net.Size; i++)
{
double fraction = (double)(i - quarter) / (double)(m_net.Size - 1 - quarter);
fraction *= Math.PI;
#if false //fix top arc
m_net[i, m_net.Size - 1].Alignment = new AlignFixed(new Point2D(-1.0 - Math.Cos(fraction), Math.Sin(fraction)));
m_net[m_net.Size - 1, i].Alignment = new AlignFixed(new Point2D(1.0 + Math.Cos(fraction), Math.Sin(fraction)));
#else //initialize position
if (m_bFirstPass)
{
m_net[i, m_net.Size - 1].Position = new Point2D(-1.0 - Math.Cos(fraction), Math.Sin(fraction));
m_net[m_net.Size - 1, i].Position = new Point2D(1.0 + Math.Cos(fraction), Math.Sin(fraction));
}
#endif
}
//fix points
m_net[0, 0].Alignment = new AlignFixed(H);
m_net[m_net.Size - 1, m_net.Size - 1].Alignment = new AlignFixed(C);
}
private void Square2Parallelogram()
{
Point2D posA = new Point2D(0, 0);
Point2D posB = new Point2D(1, 0);
Point2D posC = new Point2D(1, 1);
Point2D posD = new Point2D(2, 1);
int full = m_net.Size - 1;
AlignToSeg AB = new AlignToSeg(posA, posB);
AlignToSeg BD = new AlignToSeg(posB, posD);
AlignToSeg CD = new AlignToSeg(posC, posD);
AlignToSeg AC = new AlignToSeg(posA, posC);
//edges
m_net.AlignEdge(m_net[0, 0], m_net[0, full], AC);
m_net.AlignEdge(m_net[0, full], m_net[full, full], CD);
m_net.AlignEdge(m_net[full, full], m_net[full, 0], BD);
m_net.AlignEdge(m_net[full, 0], m_net[0, 0], AB);
//vertices
m_net[0, 0].Alignment = new AlignFixed(posA);
m_net[0, full].Alignment = new AlignFixed(posC);
m_net[full, full].Alignment = new AlignFixed(posD);
m_net[full, 0].Alignment = new AlignFixed(posB);
//precondition the points:
if( m_bFirstPass)
for (int i = 0; i < m_net.Size; i++)
for (int j = 0; j < m_net.Size; j++)
{
m_net[i, j].Position = m_net[i, j].Position * 2.0 / (double)m_net.Size - posD/2.0;
}
}
private void Parallelogram2Square()
{
int full = m_net.Size - 1;
int half = m_net.Size / 2;
//remove points outside parallelogram
for (int i = 0; i < m_net.Size; i++)
{
for (int j = 0; j < m_net.Size; j++)
{
if (j > half)
m_net[i, j] = null;
else if (i + j < half)
m_net[i, j] = null;
else if (i + j > full)
m_net[i, j] = null;
}
}
Point2D posA = new Point2D(-1, -1);
Point2D posB = new Point2D(1, -1);
Point2D posC = new Point2D(-1, 1);
Point2D posD = new Point2D(1, 1);
Indicatrix indA = m_net[half,0];
Indicatrix indB = m_net[full,0];
Indicatrix indC = m_net[0,half];
Indicatrix indD = m_net[half,half];
#if true //free floating
AlignToSeg AB = new AlignToSeg(posA, posB);
AlignToSeg BD = new AlignToSeg(posB, posD);
AlignToSeg CD = new AlignToSeg(posC, posD);
AlignToSeg AC = new AlignToSeg(posA, posC);
AlignCombo BAC = new AlignCombo(); BAC.AddAligner(AB); BAC.AddAligner(AC);
AlignCombo BDC = new AlignCombo(); BDC.AddAligner(BD); BDC.AddAligner(CD);
AlignCombo ABCD = new AlignCombo(); ABCD.AddAligner(AB); ABCD.AddAligner(BD); ABCD.AddAligner(CD); ABCD.AddAligner(AC);
//edges
m_net.AlignEdge(indA, indC, ABCD); //AC
m_net.AlignEdge(indC, indD, ABCD); //CD
m_net.AlignEdge(indD, indB, ABCD); //DB
m_net.AlignEdge(indB, indA, ABCD); //BA
//vertices
indA.Alignment = new AlignFixed(posA);
//indB.Alignment = new AlignFixed(posB);
//indC.Alignment = new AlignFixed(posC);
indD.Alignment = new AlignFixed(posD);
//precondition the points:
if (m_bFirstPass)
{
for (int i = 0; i < m_net.Size; i++)
{
for (int j = 0; j < m_net.Size; j++)
{
double x = (double)i / half - 1.0;
double y = (double)j / half;
x += y;
x *= 2.0; x -= 1.0;
y *= 2.0; y -= 1.0;
if (m_net[i, j] != null)
m_net[i, j].Position = new Point2D(x, y);
}
}
}
#else //fixed
double perimeter = (double)half * 2.0 * (1.0 + Math.Sqrt(2.0));
for (int i = 0; i <= half; i++)
{
for( int j=0; j<4; j++)
{
double dist = 0.0;
Indicatrix element = null;
switch( j )
{
case 0:
//A-B, m_net[half,0] .. m_net[full,0]
dist = (double)i;
element = m_net[half+i,0];
break;
case 1:
//B-D, m_net[full,0] ..m_net[half,half]
dist = (double)half + Math.Sqrt(2.0) * (double)i;
element = m_net[full-i,i];
break;
case 2:
//D-C, m_net[half, half] .. m_net[0, half]
dist = (double)half * (1.0 + Math.Sqrt(2.0)) + (double)i;
element = m_net[half-i, half];
break;
case 3:
//C-A, m_net[0, half] .. m_net[half, 0]
dist = (double)half * (2.0 + Math.Sqrt(2.0)) + Math.Sqrt(2.0) * (double)i;
element = m_net[i, half-i];
break;
}
//dist should be 0..half*(2+2sqrt2)
dist /= (double)half;
//dist should be 0..2+2sqrt2
dist -= 1.0;
//dist should be -1..1+2sqrt2
if (dist < 0.0) dist += (2.0 + 2.0 * Math.Sqrt(2.0));
//dist should be 0..2+2sqrt2
dist /= (2.0 + 2.0 * Math.Sqrt(2.0));
//dist should be 0..1
dist *= 4.0;
//dist should be 0..4
int integerpart = (int)dist;
double fractionalpart = dist - integerpart;
switch (integerpart)
{
case 0:
element.Alignment = new AlignFixed( posA + (posB-posA) * fractionalpart);
break;
case 1:
element.Alignment = new AlignFixed( posB + (posD-posB) * fractionalpart);
break;
case 2:
element.Alignment = new AlignFixed( posD + (posC-posD) * fractionalpart);
break;
case 3:
element.Alignment = new AlignFixed( posC + (posA-posC) * fractionalpart);
break;
default:
element.Alignment = new AlignFixed(posA);
break;
}
}
}
#endif
}