/// <summary>
/// Sets the transform graphics object in this way that its transformation matrix transforms points (realMiddle, realLeftTop, realRightDown) into ( screenMiddle=(20,300), screenLeftTop=(20,50), screenRightDown=(400,300)).
/// </summary>
/// <param name="RealMiddle">The "real" coordinates of the middle of the plot.</param>
/// <param name="RealLeftTop">The "real" coordinates of the left top point of the plot.</param>
/// <param name="RealRightDown">The "real" coordinates of the right down point of the plot.</param>
/// <param name="Transform">The graphics object storing transformation matrix from "screen" to "plot" coordinates.</param>
static public void SetGraphics(MyPointDouble realMiddle, MyPointDouble realLeftTop, MyPointDouble realRightDown, ref Graphics transform)
{
RectangleF RealRectangle = new RectangleF((float)realMiddle.x, (float)realMiddle.y, (float)(realRightDown.x - realMiddle.x), (float)(realLeftTop.y - realMiddle.y));
const float MiddleX = 20.0F;
const float MiddleY = 300.0F;
const float RightX = 400.0F;
const float TopY = 50.0F;
PointF screenMiddle = new PointF(MiddleX, MiddleY);
PointF screenLeftTop = new PointF(MiddleX, TopY);
PointF screenRightDown = new PointF(RightX, MiddleY);
PointF[] ScreenArray = { screenMiddle, screenLeftTop, screenRightDown };
System.Drawing.Drawing2D.Matrix Transformation = new System.Drawing.Drawing2D.Matrix(RealRectangle, ScreenArray);
transform.Transform = Transformation;
}
/// <summarly>
/// Makes the color plot of the function whose values at the polygon polygons[i-1] is values[i-1]
/// </summary>
/// <param name="graphl">the object at which the plot will be drawn</param>
/// <param name="polygons">the table of polygons</param>
/// <param name="values">the table of values</param>
/* static public void ColorAreas(ref Graphics graphl, List<MyPolygon> polygons, double[] values, MyGraphOperations.ColorsFunc ColFunc)
* {
*
* if (graphl == null) throw new ArgumentNullException();
* if (polygons.Count() != values.Count()) throw new ArgumentException("The number of elements in polygons is not equal to the number of elements in values");
* for (int Iterator = 1; Iterator <= polygons.Count(); Iterator++)
* {
*
* graphl.FillPolygon(BrushForColor(ColFunc, values[Iterator - 1]), polygons[Iterator - 1].Apexes());
* }
* }*/
/// <summary>
/// Makes the color plot of the function FunVal in the area Area at the Graphl - the number of divisions along each from both axes is NDiv
/// </summary>
/// <param name="FunVal"></param>
/// <param name="ColFunc"></param>
/// <param name="Area"></param>
/// <param name="TrMatrix">The matrix which will be used for making transformations of coordinates from the Area to the coordinate system in which the function will be drawn </param>
static public void ColorFunc(ref Graphics Graphl, FuncOnPoint FOP, MyGraphOperations.ColorsFunc ColFunc, RectangleF Area, int NDiv, Matrix TrMatrix)
{
MyPointDouble LeftDownCor = new MyPointDouble(Area.Left, Area.Top, 0.0);
MyPointDouble HorizStep = new MyPointDouble(Area.Width / NDiv, 0.0, 0.0);
MyPointDouble VertStep = new MyPointDouble(0.0, Area.Height / NDiv, 0.0);
MyPointDouble LeftDownCorPlot = LeftDownCor;
MyPointDouble HorizStepPlot = HorizStep;
MyPointDouble VertStepPlot = VertStep;
MyPointDouble PtIter = new MyPointDouble(0.0, 0.0, 0.0);
MyPointDouble PtIterPlot = new MyPointDouble(0.0, 0.0, 0.0);
MyDrawing.TransformPoint(TrMatrix, ref LeftDownCorPlot);
MyDrawing.TransformVector(TrMatrix, ref HorizStepPlot);
MyDrawing.TransformVector(TrMatrix, ref VertStepPlot);
double heightl = Area.Height / NDiv;
double widthl = Area.Width / NDiv;
//Matrix AddTransf = new Matrix(1.0F, 0.0F, 0.0F, 1.0F, 0.0F, 50.0F);
for (int i = 1; i <= NDiv; i++)
{
for (int j = 1; j <= NDiv; j++)
{
PtIter = LeftDownCor + (i - 0.5) * HorizStep + (j - 0.5) * VertStep;
PtIterPlot = LeftDownCorPlot + (i - 1.0) * HorizStepPlot + (j - 1) * VertStepPlot;
//TransformPoint(AddTransf, ref PtIterPlot);
RectangleF RecLoc = new RectangleF((float)(PtIterPlot.x), (float)(PtIterPlot.y), (float)HorizStepPlot.x, (float)VertStepPlot.y);
Graphl.FillRectangle(BrushForColor(ColFunc, FOP(PtIter.x, PtIter.y)), RecLoc);
}
}
}
/// <summary>
/// Puts into the variable IntersectionPoint the intersection point of line segments (line1Start-line1End) and (line2Start-line2End)
/// </summary>
/// <param name="line1Start"></param>
/// <param name="line1End"></param>
/// <param name="line2Start"></param>
/// <param name="line2End"></param>
/// <param name="IntersectionPoint"></param>
/// <returns></returns>
public static bool FindIntersection(MyPointDouble line1Start, MyPointDouble line1End, MyPointDouble line2Start, MyPointDouble line2End, ref MyPointDouble IntersectionPoint)
{
double A11 = -(line1End.Y - line1Start.Y);
double A12 = (line1End.X - line1Start.X);
double B1 = -line1Start.X * (line1End.Y - line1Start.Y) + line1Start.Y * (line1End.X - line1Start.X);
double A21 = -(line2End.Y - line2Start.Y);
double A22 = (line2End.X - line2Start.X);
double B2 = -line2Start.X * (line2End.Y - line2Start.Y) + line2Start.Y * (line2End.X - line2Start.X);
double[,] a = new double[2, 2];
a[1 - 1, 1 - 1] = A11;
a[1 - 1, 2 - 1] = A12;
a[2 - 1, 1 - 1] = A21;
a[2 - 1, 2 - 1] = A22;
double[] b = new double[2];
b[1 - 1] = B1;
b[2 - 1] = B2;
double[] x = new double[2];
bool IsSingular = !alglib.rsolve.rmatrixsolve(a, b, 2, ref x);
if ((!IsSingular) && (x[0] >= Math.Min(line1Start.x, line1End.x)) && (x[0] <= Math.Max(line1Start.x, line1End.x)))
{
IntersectionPoint.SetValues(x[0], x[1], 0.0);
return(true);
}
else
{
return(false);
}
}
/// <summary>
/// Sets the transform graphics object in this way that its transformation matrix transforms points (realMiddle, realLeftTop, realRightDown) into (screenMiddle, screenLeftTop, screenRightDown).
/// </summary>
/// <param name="ScreenMiddle">The "screen" coordinates of the middle of the plot. </param>
/// <param name="ScreenLeftTop">The "screen" coordinates of the left top point of the plot (we assume that the higher the point lies the larger value has its Y coordinate).</param>
/// <param name="ScreenRightDown">The "screen" coordinates of the right down point of the plot. </param>
/// <param name="RealMiddle">The "real" coordinates of the middle of the plot.</param>
/// <param name="RealLeftTop">The "real" coordinates of the left top point of the plot.</param>
/// <param name="RealRightDown">The "real" coordinates of the right down point of the plot.</param>
/// <param name="Transform">The graphics object storing transformation matrix from "screen" to "plot" coordinates.</param>
static public void SetGraphics(MyPointDouble screenMiddle, MyPointDouble screenLeftTop, MyPointDouble screenRightDown, MyPointDouble realMiddle, MyPointDouble realLeftTop, MyPointDouble realRightDown, ref Graphics transform)
{
RectangleF RealRectangle = new RectangleF((float)realMiddle.x, (float)realMiddle.y, (float)(realRightDown.x - realMiddle.x), (float)(realLeftTop.y - realMiddle.y));
PointF[] ScreenArray = { screenMiddle.ToPointF(), screenLeftTop.ToPointF(), screenRightDown.ToPointF() };
System.Drawing.Drawing2D.Matrix Transformation = new System.Drawing.Drawing2D.Matrix(RealRectangle, ScreenArray);
transform.Transform = Transformation;
}
