private void btn_polyInit_Click(object sender, RoutedEventArgs e)
{
mainCanvas.ClearCanvas();
int t_int;
double t_double;
poly_cnt = int.TryParse(txt_polyCnt.Text, out t_int) ? t_int : poly_cnt;
poly_tri_cnt = int.TryParse(txt_polyTriCnt.Text, out t_int) ? t_int : poly_tri_cnt;
attempts = int.TryParse(txt_attempts.Text, out t_int) ? t_int : attempts;
tau = double.TryParse(txt_tau.Text, out t_double) ? t_double : tau;
tauM = double.TryParse(txt_tauM.Text, out t_double) ? t_double : tauM;
mu = double.TryParse(txt_mu.Text, out t_double) ? t_double : mu;
ceil = double.TryParse(txt_ceil.Text, out t_double) ? t_double : ceil;
ceilby = int.TryParse(txt_ceilby.Text, out t_int) ? t_int : ceilby;
seed = int.TryParse(txt_seed.Text, out t_int) ? t_int : seed;
btn_polyStep.IsEnabled = true;
double width = mainCanvas.Width;
polys = new Mesh[poly_cnt];
ExUtility.SetSeed(seed);
for (int i = 0; i < poly_cnt; i++)
{
Triangle[] ts = new Triangle[poly_tri_cnt];
ts[0] = new Triangle(new Point(ExUtility.RandRange(0, width), ExUtility.RandRange(0, width)),
new Point(ExUtility.RandRange(0, width), ExUtility.RandRange(0, width)),
new Point(ExUtility.RandRange(0, width), ExUtility.RandRange(0, width)));
for (int j = 1; j < ts.Length; j++)
{
ts[j] = new Triangle(new Point(ts[j - 1].points[1].X, ts[j - 1].points[1].Y),
new Point(ts[j - 1].points[2].X, ts[j - 1].points[2].Y),
new Point(ExUtility.RandRange(0, width), ExUtility.RandRange(0, width)));
}
polys[i] = new Mesh(ts);
}
ExUtility.SetSeed(245);
for (int i = 0; i < polys.Length; i++)
{
int[] cs = ExUtility.RandomInts(0, 255, 3);
DrawMeshes(mainCanvas, Color.FromRgb((byte)cs[0], (byte)cs[1], (byte)cs[2]), Color.FromRgb((byte)cs[0], (byte)cs[1], (byte)cs[2]), 1, polys[i]);
}
}
private void btn_polyStep_Click(object sender, RoutedEventArgs e)
{
mainCanvas.ClearCanvas();
double width = mainCanvas.Width;
int pairs = 0;
for (int i = 0; i < poly_cnt; i++)
{
for (int j = i + 1; j < poly_cnt; j++)
{
pairs += polys[i].tris.Length * polys[j].tris.Length;
}
}
dc_Model model = new dc_Model();
dc_Var z = model.AddVar("Z", 0, 200, ExUtility.RandRange);
dc_Var[][] r = new dc_Var[poly_cnt][]; for (int i = 0; i < poly_cnt; i++)
{
r[i] = model.AddVarArray("RotS_" + i, -10, 10, 2, ExUtility.RandRange);
}
dc_Var[][] t = new dc_Var[poly_cnt][]; for (int i = 0; i < poly_cnt; i++)
{
t[i] = model.AddVarArray("Trans_" + i, -width, width, 2, ExUtility.RandRange);
}
dc_Var[][][] px = new dc_Var[poly_cnt][][]; for (int i = 0; i < poly_cnt; i++)
{
px[i] = new dc_Var[polys[i].tris.Length][]; for (int j = 0; j < polys[i].tris.Length; j++)
{
px[i][j] = model.AddVarArray("Poly_" + i + "_Tri_" + j + "_Ptx", 0, width, 3, ExUtility.RandRange);
}
}
dc_Var[][][] py = new dc_Var[poly_cnt][][]; for (int i = 0; i < poly_cnt; i++)
{
py[i] = new dc_Var[polys[i].tris.Length][]; for (int j = 0; j < polys[i].tris.Length; j++)
{
py[i][j] = model.AddVarArray("Poly_" + i + "_Tri_" + j + "_Pty", 0, width, 3, ExUtility.RandRange);
}
}
dc_Var[][] w = new dc_Var[pairs][]; for (int i = 0; i < pairs; i++)
{
w[i] = model.AddVarArray("W_" + i, -1, 1, 2, ExUtility.RandRange);
}
dc_Var[] b = new dc_Var[pairs]; for (int i = 0; i < pairs; i++)
{
b[i] = model.AddVar("b_" + i, -width * Math.Sqrt(2), width * Math.Sqrt(2), ExUtility.RandRange);
}
dc_Func[] bp = new dc_Func[pairs];
dc_Func[] bm = new dc_Func[pairs];
model.SetObjective(model.Fn_Const(0), z);
for (int i = 0; i < poly_cnt; i++)
{
model.AddLE(z, model.Fn_L2NormSquared(r[i]));
for (int k = 0; k < polys[i].tris.Length; k++)
{
for (int j = 0; j < 3; j++)
{
model.AddEQ(px[i][k][j], model.Fn_Dot(new double[] { polys[i].tris[k].points[j].X, -polys[i].tris[k].points[j].Y, 1 }, r[i][0], r[i][1], t[i][0]));
model.AddEQ(py[i][k][j], model.Fn_Dot(new double[] { polys[i].tris[k].points[j].X, polys[i].tris[k].points[j].Y, 1 }, r[i][1], r[i][0], t[i][1]));
}
}
}
for (int i = 0; i < pairs; i++)
{
bp[i] = model.Fn_Affine(-2, -2, b[i]);
bm[i] = model.Fn_Affine(2, -2, b[i]);
}
int pcnt = 0;
for (int j = 0; j < poly_cnt; j++)
{
for (int k = j + 1; k < poly_cnt; k++)
{
for (int m = 0; m < polys[j].tris.Length; m++)
{
for (int n = 0; n < polys[k].tris.Length; n++)
{
for (int i = 0; i < 3; i++)
{
dc_Func[] pPw = new dc_Func[2];
dc_Func[] qPw = new dc_Func[2];
pPw[0] = model.Fn_Sum(px[j][m][i], w[pcnt][0]);
pPw[1] = model.Fn_Sum(py[j][m][i], w[pcnt][1]);
qPw[0] = model.Fn_Sum(px[k][n][i], w[pcnt][0]);
qPw[1] = model.Fn_Sum(py[k][n][i], w[pcnt][1]);
model.AddLE(model.Fn_SumSquares(pPw), model.Fn_Sum(bm[pcnt], model.Fn_L2NormSquared(w[pcnt][0], w[pcnt][1], px[j][m][i], py[j][m][i])));
model.AddLE(model.Fn_L2NormSquared(w[pcnt][0], w[pcnt][1], px[k][n][i], py[k][n][i]), model.Fn_Sum(bp[pcnt], model.Fn_SumSquares(qPw[0], qPw[1])));
}
pcnt++;
}
}
}
}
model.param_tau = tau;
model.param_tauM = tauM;
model.param_mu = mu;
model.param_ceil = ceil;
model.param_ceilby = ceilby;
model.Solve(attempts, ExUtility.RandRange);
dc_Utility.WriteLine("");
dc_Utility.WriteLine(dc_Utility.c_stars);
double scale = double.PositiveInfinity;
for (int i = 0; i < poly_cnt; i++)
{
double news = Math.Sqrt(r[i][0].lastValue * r[i][0].lastValue + r[i][1].lastValue * r[i][1].lastValue);
dc_Utility.WriteLine("Poly. " + i + " growth: " + news);
scale = Math.Min(scale, news);
}
dc_Utility.WriteLine(dc_Utility.c_stars);
double bound = 0;
for (int i = 0; i < poly_cnt; i++)
{
for (int k = 0; k < polys[i].tris.Length; k++)
{
for (int j = 0; j < 3; j++)
{
polys[i].tris[k].points[j].X = px[i][k][j].lastValue / scale;
polys[i].tris[k].points[j].Y = py[i][k][j].lastValue / scale;
bound = Math.Max(polys[i].tris[k].points[j].Y, Math.Max(polys[i].tris[k].points[j].X, bound));
}
}
}
mainCanvas.DrawBounds(bound);
//for(int i = 0; i < pairs; i++)
//{
// DrawPlane(w[i][0].value, w[i][1].value, b[i].value);
//}
ExUtility.SetSeed(245);
for (int i = 0; i < polys.Length; i++)
{
int[] cs = ExUtility.RandomInts(0, 255, 3);
DrawMeshes(mainCanvas, Color.FromRgb((byte)cs[0], (byte)cs[1], (byte)cs[2]), Color.FromRgb((byte)cs[0], (byte)cs[1], (byte)cs[2]), 1, polys[i]);
}
model.CleanUp();
//Utility.ResetSeed();
}