private void Interp(Graphics g, ChartStyle cs, ChartStyle2D cs2d, Matrix3 m,
Point3[] pta, float zmin, float zmax, int flag, Axes ax,
ViewAngle va, ChartLabels cl)
{
SolidBrush aBrush = new SolidBrush(Color.Black);
PointF[] points = new PointF[4];
int npoints = NumberInterp;
Point3[,] pts = new Point3[npoints + 1, npoints + 1];
Point3[,] pts1 = new Point3[npoints + 1, npoints + 1];
float x0 = pta[0].X;
float y0 = pta[0].Y;
float x1 = pta[2].X;
float y1 = pta[2].Y;
float dx = (x1 - x0) / npoints;
float dy = (y1 - y0) / npoints;
float C00 = pta[0].Z;
float C10 = pta[3].Z;
float C11 = pta[2].Z;
float C01 = pta[1].Z;
float x, y, C;
Color color;
if (flag == 1) // For Surface chart
{
for (int i = 0; i <= npoints; i++)
{
x = x0 + i * dx;
for (int j = 0; j <= npoints; j++)
{
y = y0 + j * dy;
C = (y1 - y) * ((x1 - x) * C00 +
(x - x0) * C10) / (x1 - x0) / (y1 - y0) +
(y - y0) * ((x1 - x) * C01 +
(x - x0) * C11) / (x1 - x0) / (y1 - y0);
pts[i, j] = new Point3(x, y, C, 1);
pts[i, j].Transform(m, chart3d, ax, cs, cl);
}
}
for (int i = 0; i < npoints; i++)
{
for (int j = 0; j < npoints; j++)
{
color = AddColor(cs, pts[i, j], zmin, zmax, ax, va, cl);
aBrush = new SolidBrush(color);
points[0] = new PointF(pts[i, j].X, pts[i, j].Y);
points[1] = new PointF(pts[i + 1, j].X, pts[i + 1, j].Y);
points[2] = new PointF(pts[i + 1, j + 1].X, pts[i + 1, j + 1].Y);
points[3] = new PointF(pts[i, j + 1].X, pts[i, j + 1].Y);
g.FillPolygon(aBrush, points);
aBrush.Dispose();
}
}
}
else if (flag == 2) // For XYColor chart
{
for (int i = 0; i <= npoints; i++)
{
x = x0 + i * dx;
for (int j = 0; j <= npoints; j++)
{
y = y0 + j * dy;
C = (y1 - y) * ((x1 - x) * C00 +
(x - x0) * C10) / (x1 - x0) / (y1 - y0) +
(y - y0) * ((x1 - x) * C01 +
(x - x0) * C11) / (x1 - x0) / (y1 - y0);
pts[i, j] = new Point3(x, y, C, 1);
}
}
for (int i = 0; i < npoints; i++)
{
for (int j = 0; j < npoints; j++)
{
color = AddColor(cs, pts[i, j], zmin, zmax, ax, va, cl);
aBrush = new SolidBrush(color);
points[0] = cs2d.Point2D(new PointF(pts[i, j].X, pts[i, j].Y), ax);
points[1] = cs2d.Point2D(new PointF(pts[i + 1, j].X, pts[i + 1, j].Y), ax);
points[2] = cs2d.Point2D(new PointF(pts[i + 1, j + 1].X, pts[i + 1, j + 1].Y), ax);
points[3] = cs2d.Point2D(new PointF(pts[i, j + 1].X, pts[i, j + 1].Y), ax);
g.FillPolygon(aBrush, points);
aBrush.Dispose();
}
}
}
else if (flag == 3) // For XYColor3D chart
{
for (int i = 0; i <= npoints; i++)
{
x = x0 + i * dx;
for (int j = 0; j <= npoints; j++)
{
y = y0 + j * dy;
C = (y1 - y) * ((x1 - x) * C00 +
(x - x0) * C10) / (x1 - x0) / (y1 - y0) +
(y - y0) * ((x1 - x) * C01 +
(x - x0) * C11) / (x1 - x0) / (y1 - y0);
pts1[i, j] = new Point3(x, y, C, 1);
pts[i, j] = new Point3(x, y, ax.ZMin, 1);
pts[i, j].Transform(m, chart3d, ax, cs, cl);
}
}
for (int i = 0; i < npoints; i++)
{
for (int j = 0; j < npoints; j++)
{
color = AddColor(cs, pts1[i, j], zmin, zmax, ax, va, cl);
aBrush = new SolidBrush(color);
points[0] = new PointF(pts[i, j].X, pts[i, j].Y);
points[1] = new PointF(pts[i + 1, j].X, pts[i + 1, j].Y);
points[2] = new PointF(pts[i + 1, j + 1].X, pts[i + 1, j + 1].Y);
points[3] = new PointF(pts[i, j + 1].X, pts[i, j + 1].Y);
g.FillPolygon(aBrush, points);
aBrush.Dispose();
}
}
}
}
private void AddContour(Graphics g, DataSeries ds, ChartStyle cs,
ChartStyle2D cs2d, Axes ax, ViewAngle va, ChartLabels cl)
{
Pen aPen = new Pen(ds.LineStyle.LineColor, ds.LineStyle.Thickness);
aPen.DashStyle = ds.LineStyle.Pattern;
SolidBrush aBrush = new SolidBrush(Color.White);
PointF[] pta = new PointF[2];
Point3[,] pts = ds.PointArray;
Matrix3 m = new Matrix3();
// Find the minumum and maximum z values:
float zmin = ds.ZDataMin();
float zmax = ds.ZDataMax();
float[] zlevels = new float[numberContours];
for (int i = 0; i < numberContours; i++)
{
zlevels[i] = zmin + i * (zmax - zmin) / (numberContours - 1);
}
int i0, i1, i2, j0, j1, j2;
float zratio = 1;
// Draw contour on the XY plane:
for (int i = 0; i < pts.GetLength(0) - 1; i++)
{
for (int j = 0; j < pts.GetLength(1) - 1; j++)
{
if (IsColorMap && ChartType != ChartTypeEnum.FillContour &&
ChartType != ChartTypeEnum.SurfaceFillContour)
{
Color color = AddColor(cs, pts[i, j], zmin, zmax, ax, va, cl);
aPen = new Pen(color, ds.LineStyle.Thickness);
aPen.DashStyle = ds.LineStyle.Pattern;
}
for (int k = 0; k < numberContours; k++)
{
// Left triangle:
i0 = i;
j0 = j;
i1 = i;
j1 = j + 1;
i2 = i + 1;
j2 = j + 1;
if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i1, j1].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i1, j1].Z) &&
(zlevels[k] >= pts[i1, j1].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i1, j1].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i1, j1].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF(pts[i0, j0].X,
(1 - zratio) * pts[i0, j0].Y + zratio * pts[i1, j1].Y), ax);
zratio = (zlevels[k] - pts[i1, j1].Z) /
(pts[i2, j2].Z - pts[i1, j1].Z);
pta[1] = cs2d.Point2D(new PointF((1 - zratio) * pts[i1, j1].X +
zratio * pts[i2, j2].X, pts[i1, j1].Y), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
else if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i2, j2].Z) &&
(zlevels[k] >= pts[i1, j1].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i1, j1].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i2, j2].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF((1 - zratio) * pts[i0, j0].X +
zratio * pts[i2, j2].X,
(1 - zratio) * pts[i0, j0].Y + zratio * pts[i2, j2].Y), ax);
zratio = (zlevels[k] - pts[i1, j1].Z) /
(pts[i2, j2].Z - pts[i1, j1].Z);
pta[1] = cs2d.Point2D(new PointF((1 - zratio) * pts[i1, j1].X +
zratio * pts[i2, j2].X, pts[i1, j1].Y), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
else if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i1, j1].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i1, j1].Z) &&
(zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i1, j1].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF(pts[i0, j0].X,
(1 - zratio) * pts[i0, j0].Y + zratio * pts[i1, j1].Y), ax);
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i2, j2].Z - pts[i0, j0].Z);
pta[1] = cs2d.Point2D(new PointF(pts[i0, j0].X * (1 - zratio) +
pts[i2, j2].X * zratio, pts[i0, j0].Y * (1 - zratio) +
pts[i2, j2].Y * zratio), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
// right triangle:
i0 = i;
j0 = j;
i1 = i + 1;
j1 = j;
i2 = i + 1;
j2 = j + 1;
if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i1, j1].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i1, j1].Z) &&
(zlevels[k] >= pts[i1, j1].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i1, j1].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i1, j1].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF(pts[i0, j0].X * (1 - zratio) +
pts[i1, j1].X * zratio, pts[i0, j0].Y), ax);
zratio = (zlevels[k] - pts[i1, j1].Z) /
(pts[i2, j2].Z - pts[i1, j1].Z);
pta[1] = cs2d.Point2D(new PointF(pts[i1, j1].X,
pts[i1, j1].Y * (1 - zratio) + pts[i2, j2].Y * zratio), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
else if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i2, j2].Z) &&
(zlevels[k] >= pts[i1, j1].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i1, j1].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i2, j2].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF(pts[i0, j0].X * (1 - zratio) +
pts[i2, j2].X * zratio, pts[i0, j0].Y * (1 - zratio) +
pts[i2, j2].Y * zratio), ax);
zratio = (zlevels[k] - pts[i1, j1].Z) /
(pts[i2, j2].Z - pts[i1, j1].Z);
pta[1] = cs2d.Point2D(new PointF(pts[i1, j1].X,
pts[i1, j1].Y * (1 - zratio) + pts[i2, j2].Y * zratio), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
else if ((zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i1, j1].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i1, j1].Z) &&
(zlevels[k] >= pts[i0, j0].Z && zlevels[k] < pts[i2, j2].Z ||
zlevels[k] < pts[i0, j0].Z && zlevels[k] >= pts[i2, j2].Z))
{
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i1, j1].Z - pts[i0, j0].Z);
pta[0] = cs2d.Point2D(new PointF(pts[i0, j0].X * (1 - zratio) +
pts[i1, j1].X * zratio, pts[i0, j0].Y), ax);
zratio = (zlevels[k] - pts[i0, j0].Z) /
(pts[i2, j2].Z - pts[i0, j0].Z);
pta[1] = cs2d.Point2D(new PointF(pts[i0, j0].X * (1 - zratio) +
pts[i2, j2].X * zratio, pts[i0, j0].Y * (1 - zratio) +
pts[i2, j2].Y * zratio), ax);
g.DrawLine(aPen, pta[0], pta[1]);
}
}
}
}
}
private void AddXYColor(Graphics g, DataSeries ds, ChartStyle cs,
ChartStyle2D cs2d, Axes ax, ViewAngle va, ChartLabels cl)
{
Pen aPen = new Pen(ds.LineStyle.LineColor, ds.LineStyle.Thickness);
aPen.DashStyle = ds.LineStyle.Pattern;
SolidBrush aBrush = new SolidBrush(Color.White);
PointF[] pta = new PointF[4];
Point3[,] pts = ds.PointArray;
Matrix3 m = new Matrix3();
// Find the minumum and maximum z values:
float zmin = ds.ZDataMin();
float zmax = ds.ZDataMax();
// Draw surface on the XY plane:
if (!IsInterp)
{
for (int i = 0; i < pts.GetLength(0) - 1; i++)
{
for (int j = 0; j < pts.GetLength(1) - 1; j++)
{
pta[0] = cs2d.Point2D(new PointF(pts[i, j].X, pts[i, j].Y), ax);
pta[1] = cs2d.Point2D(new PointF(pts[i, j + 1].X, pts[i, j + 1].Y), ax);
pta[2] = cs2d.Point2D(new PointF(pts[i + 1, j + 1].X, pts[i + 1, j + 1].Y), ax);
pta[3] = cs2d.Point2D(new PointF(pts[i + 1, j].X, pts[i + 1, j].Y), ax);
Color color = AddColor(cs, pts[i, j], zmin, zmax, ax, va, cl);
aBrush = new SolidBrush(color);
g.FillPolygon(aBrush, pta);
if (ds.LineStyle.IsVisible)
{
g.DrawPolygon(aPen, pta);
}
}
}
}
// Draw refined surface:
else if (IsInterp)
{
for (int i = 0; i < pts.GetLength(0) - 1; i++)
{
for (int j = 0; j < pts.GetLength(1) - 1; j++)
{
Point3[] points = new Point3[4];
points[0] = pts[i, j];
points[1] = pts[i, j + 1];
points[2] = pts[i + 1, j + 1];
points[3] = pts[i + 1, j];
Interp(g, cs, cs2d, m, points, zmin, zmax, 2, ax, va, cl);
pta[0] = cs2d.Point2D(new PointF(pts[i, j].X, pts[i, j].Y), ax);
pta[1] = cs2d.Point2D(new PointF(pts[i, j + 1].X, pts[i, j + 1].Y), ax);
pta[2] = cs2d.Point2D(new PointF(pts[i + 1, j + 1].X, pts[i + 1, j + 1].Y), ax);
pta[3] = cs2d.Point2D(new PointF(pts[i + 1, j].X, pts[i + 1, j].Y), ax);
if (ds.LineStyle.IsVisible)
{
g.DrawPolygon(aPen, pta);
}
}
}
}
}