public void DrawIntegr(ref Grid gr, Fraction a, Fraction b, int res = 100)
{
int por = this.NCol - 2;
int row = 1;
Fraction xfrMin = new Fraction();
Fraction yfrMin = new Fraction();
Fraction xfrMax = new Fraction();
Fraction yfrMax = new Fraction();
//Fraction xfr0 = new Fraction((int)((gr.Width - 20) / 2), 1);
//Fraction yfr0 = new Fraction((int)((gr.Height - 20) / 2), 1);
xfrMin = this.matr.A[1, 0].CopyFr;
//yfrMin.FractTxt = this.txtBxs[1, 1].Text;
//double yMin = yfrMin.ToDouble();
Fraction h = new Fraction();
xfrMax = this.matr.A[this.NRow - 1, 0].CopyFr;
//double xMax = xfrMax.ToDouble();
yfrMax = this.matr.A[this.NRow - 1, 1].CopyFr;
yfrMin = this.matr.A[1, 1].CopyFr;
for (Fraction i = xfrMin; i <= xfrMax; i += (xfrMax - xfrMin) / 50)
{
if (GetPolyNewtonVal(i, por, row) >= yfrMax)
{
yfrMax = GetPolyNewtonVal(i, por, row);
}
}
for (Fraction i = xfrMin; i <= xfrMax; i += (xfrMax - xfrMin) / 50)
{
if (GetPolyNewtonVal(i, por, row) < yfrMin)
{
yfrMin = GetPolyNewtonVal(i, por, row);
}
}
CoordAxis axis = new CoordAxis(ref gr, xfrMin.ToDouble(), xfrMax.ToDouble(), yfrMin.ToDouble(), yfrMax.ToDouble(), 10);
//Fraction yMult = new Fraction((int)((gr.Height - 20) * 1000), 1000);
h = (b - a) / res;
PointCollection pc = new PointCollection();
for (Fraction i = a; i <= b; i += h)
{
//pc.Add(new System.Windows.Point((xfr0 + i*xMult).ToDouble(), (yfr0 - GetPolyNewtonVal(i, por, row)*yMult).ToDouble()));
pc.Add(axis.ConvertCoord(i.ToDouble(), GetPolyNewtonVal(i, por, row).ToDouble()));
}
//double wdt = gr.Width - 20;
//double hgt = gr.Height - 20;
PointCollection pgPt = new PointCollection();
pgPt.Add(axis.ConvertCoord(a.ToDouble(), 0));
foreach (Point pt in pc)
{
pgPt.Add(pt);
}
pgPt.Add(axis.ConvertCoord(b.ToDouble(), 0));
Polygon pg = new Polygon();
pg.Points = pgPt;
pg.Fill = Brushes.Pink;
gr.Children.Add(pg);
}
public void DrawCircles(Matr m)
{
double mult = 1;
Fraction r = new Fraction();
Fraction a = new Fraction();
for (int i = 0; i < m.NCol; i++)
{
for (int j = 0; j < m.NCol; j++)
{
if (i != j)
{
a = m.A[i, j].CopyFr;
if (a < 0)
{
a = -1 * a;
}
r += a;
}
}
a = m.A[i, i].CopyFr;
if (Math.Min((grdGraf.Width - 40) / (2 * (r + (a < 0 ? -1 * a : a))).ToDouble(), (grdGraf.Height - 40) / (2 * r).ToDouble()) <= mult || mult == 1)
{
mult = Math.Min((grdGraf.Width - 40) / (2 * (r + (a < 0 ? -1 * a : a))).ToDouble(), (grdGraf.Height - 40) / (2 * r).ToDouble());
}
r.FractTxt = "0";
a.FractTxt = "0";
}
for (int i = 0; i < m.NCol; i++)
{
for (int j = 0; j < m.NCol; j++)
{
if (i != j)
{
a = m.A[i, j].CopyFr;
if (a < 0)
{
a = -1 * a;
}
r += a;
}
}
a = m.A[i, i].CopyFr;
Ellipse el = new Ellipse();
TextBlock xVal = new TextBlock();
TextBlock rT = new TextBlock();
Line rad = new Line();
el.Stroke = Brushes.Black;
rad.Stroke = Brushes.Red;
rad.StrokeThickness = 3;
xVal.Width = 60;
el.HorizontalAlignment = HorizontalAlignment.Left;
xVal.HorizontalAlignment = HorizontalAlignment.Left;
rT.HorizontalAlignment = HorizontalAlignment.Left;
el.VerticalAlignment = VerticalAlignment.Top;
xVal.VerticalAlignment = VerticalAlignment.Top;
rT.VerticalAlignment = VerticalAlignment.Top;
el.Margin = new Thickness(grdGraf.Width / 2 - mult * r.ToDouble() + mult * a.ToDouble(), grdGraf.Height / 2 - mult * r.ToDouble(), 0, 0);
xVal.Margin = new Thickness(grdGraf.Width / 2 + mult * a.ToDouble() - xVal.Width / 2, grdGraf.Height / 2 + 10, 0, 0);
rT.Margin = new Thickness(grdGraf.Width / 2 + mult * a.ToDouble(), grdGraf.Height / 2 - mult * r.ToDouble() - 20, 0, 0);
rad.X1 = rad.X2 = grdGraf.Width / 2 + mult * a.ToDouble();
rad.Y1 = grdGraf.Height / 2;
rad.Y2 = grdGraf.Height / 2 - mult * r.ToDouble();
xVal.Text = "" + a.ToDouble();
rT.Text = "r" + (i + 1) + " = " + r.ToDouble();
xVal.TextAlignment = TextAlignment.Center;
el.Width = mult * r.ToDouble() * 2;
el.Height = mult * r.ToDouble() * 2;
grdGraf.Children.Add(el);
grdGraf.Children.Add(xVal);
grdGraf.Children.Add(rad);
grdGraf.Children.Add(rT);
r.FractTxt = "0";
}
}
public void DrawPolynom(ref Grid gr, int por, Fraction x, int row = 1, int res = 100)
{
Fraction xfrMin = new Fraction();
Fraction yfrMin = new Fraction();
Fraction xfrMax = new Fraction();
Fraction yfrMax = new Fraction();
xfrMin = this.matr.A[1, 0].CopyFr;
yfrMin = this.matr.A[1, 1].CopyFr;
//double yMin = yfrMin.ToDouble();
Fraction h = new Fraction();
xfrMax = this.matr.A[this.NRow - 1, 0].CopyFr;
//double xMax = xfrMax.ToDouble();
yfrMax = this.matr.A[this.NRow - 1, 1].CopyFr;
for (Fraction i = xfrMin; i <= xfrMax; i += (xfrMax - xfrMin) / res)
{
if (GetPolyNewtonVal(i, por, row) >= yfrMax)
{
yfrMax = GetPolyNewtonVal(i, por, row);
}
}
for (Fraction i = xfrMin; i <= xfrMax; i += (xfrMax - xfrMin) / res)
{
if (GetPolyNewtonVal(i, por, row) < yfrMin)
{
yfrMin = GetPolyNewtonVal(i, por, row);
}
}
CoordAxis axis = new CoordAxis(ref gr, xfrMin.ToDouble(), xfrMax.ToDouble(), yfrMin.ToDouble(), yfrMax.ToDouble(), 10);
axis.DrawAxis();
//Fraction xMult = new Fraction((int)((gr.Width - 20)*1000), 1000);
//xMult /= xfrMax*2;
//Fraction yMult = new Fraction((int)((gr.Height - 20)*1000), 1000);
//yMult /= yfrMax*2;
h = (xfrMax - xfrMin) / res;
Polyline pl = new Polyline();
Ellipse el = new Ellipse();
el.HorizontalAlignment = HorizontalAlignment.Left;
el.VerticalAlignment = VerticalAlignment.Top;
el.Width = 8;
el.Height = 8;
Point valXY = axis.ConvertCoord(x.ToDouble(), (GetPolyNewtonVal(x, por, row).ToDouble()));
System.Windows.Thickness th = new System.Windows.Thickness(valXY.X - el.Width / 2, valXY.Y - el.Height / 2, 0, 0);
el.Margin = th;
el.Stroke = Brushes.Red;
el.Fill = Brushes.Red;
PointCollection pc = new PointCollection();
for (Fraction i = xfrMin; i <= xfrMax; i += h)
{
//pc.Add(new System.Windows.Point((xfr0 + i*xMult).ToDouble(), (yfr0 - GetPolyNewtonVal(i, por, row)*yMult).ToDouble()));
pc.Add(axis.ConvertCoord(i.ToDouble(), GetPolyNewtonVal(i, por, row).ToDouble()));
}
pl.Points = pc;
pl.Stroke = Brushes.Blue;
pl.StrokeThickness = 4;
double wdt = gr.Width - 20;
double hgt = gr.Height - 20;
Line xVal = new Line();
//xVal.X1 = (xfr0 + x * xMult).ToDouble();
xVal.X1 = axis.ConvertCoord(x.ToDouble(), GetPolyNewtonVal(x, por, row).ToDouble()).X;
xVal.Y1 = axis.ConvertCoord(x.ToDouble(), GetPolyNewtonVal(x, por, row).ToDouble()).Y;
xVal.X2 = xVal.X1;
xVal.Y2 = axis.crossAxis.Y;
xVal.Stroke = Brushes.Red;
xVal.StrokeDashArray = new DoubleCollection()
{
8, 4
};
Line yVal = new Line();
yVal.X1 = axis.ConvertCoord(x.ToDouble(), GetPolyNewtonVal(x, por, row).ToDouble()).X;
yVal.Y1 = axis.ConvertCoord(x.ToDouble(), GetPolyNewtonVal(x, por, row).ToDouble()).Y;
yVal.X2 = axis.crossAxis.X;
yVal.Y2 = yVal.Y1;
yVal.Stroke = Brushes.Red;
yVal.StrokeDashArray = new DoubleCollection()
{
8, 4
};
gr.Children.Add(pl);
gr.Children.Add(xVal);
gr.Children.Add(yVal);
TextBox valX = new TextBox();
valX.Text = "" + x.ToDouble();
valX.Width = 100;
valX.Height = 25;
valX.HorizontalAlignment = HorizontalAlignment.Left;
valX.VerticalAlignment = VerticalAlignment.Top;
TextBox valY = new TextBox();
valY.Text = "" + GetPolyNewtonVal(x, por, row).ToDouble();
valY.Width = 200;
valY.Height = 25;
valY.HorizontalAlignment = HorizontalAlignment.Left;
valY.VerticalAlignment = VerticalAlignment.Top;
TextBox polyErr = new TextBox();
TextBox diff1 = new TextBox();
TextBox diff2 = new TextBox();
TextBox diff1Err = new TextBox();
TextBox diff2Err = new TextBox();
polyErr.Text = "погр. интерполирования равна " + GetPolyNewtonErr(x, por, row).ToDouble();
diff1.Text = "первая производная равна " + GetPolyNewtonDiff1Val(x, por, row).ToDouble();
diff1Err.Text = "ошибка первой производной " + GetPolyNewtonDiff1Err(x, por, row).ToDouble();
diff2.Text = "вторая производная равна " + GetPolyNewtonDiff2Val(x, por, row).ToDouble();
diff2Err.Text = "ошибка второй производной " + GetPolyNewtonDiff2Err(x, por, row).ToDouble();
polyErr.Width = 300;
polyErr.Height = 25;
diff1.Width = 300;
diff1.Height = 25;
diff2.Width = 300;
diff2.Height = 25;
diff1Err.Width = 300;
diff1Err.Height = 25;
diff2Err.Width = 300;
diff2Err.Height = 25;
SolidColorBrush br = new SolidColorBrush(Color.FromArgb(0, 0, 0, 0));
valY.BorderBrush = br;
valX.BorderBrush = br;
polyErr.BorderBrush = br;
diff1.BorderBrush = br;
diff2.BorderBrush = br;
diff1Err.BorderBrush = br;
diff2Err.BorderBrush = br;
valX.Background = br;
valY.Background = br;
polyErr.Background = br;
diff1.Background = br;
diff2.Background = br;
diff1Err.Background = br;
diff2Err.Background = br;
valX.HorizontalContentAlignment = System.Windows.HorizontalAlignment.Center;
diff1.HorizontalContentAlignment = System.Windows.HorizontalAlignment.Left;
diff2.HorizontalContentAlignment = System.Windows.HorizontalAlignment.Left;
polyErr.Margin = new System.Windows.Thickness(0, 0, wdt - diff1.Width, hgt - diff1.Height);
diff1.Margin = new System.Windows.Thickness(0, 0, wdt - diff1.Width, hgt - 3 * diff1.Height);
diff1Err.Margin = new System.Windows.Thickness(0, 0, wdt - diff1.Width, hgt - 5 * diff1.Height);
diff2.Margin = new System.Windows.Thickness(0, 0, wdt - diff2.Width, hgt - 7 * diff2.Height);
diff2Err.Margin = new System.Windows.Thickness(0, 0, wdt - diff2.Width, hgt - 9 * diff2.Height);
if (valXY.Y <= axis.crossAxis.Y)
{
valX.Margin = new System.Windows.Thickness(valXY.X - valX.Width / 2, axis.crossAxis.Y - valY.Height, 0, 0);
}
else
{
valX.Margin = new System.Windows.Thickness(valXY.X - valX.Width / 2, axis.crossAxis.Y + valY.Height, 0, 0);
}
if (valXY.X <= axis.crossAxis.X)
{
valY.Margin = new System.Windows.Thickness(axis.crossAxis.X - axis.bord - valY.Width, valXY.Y - valY.Height, 0, 0);
valY.TextAlignment = axis.taY;
}
else
{
valY.Margin = new System.Windows.Thickness(axis.crossAxis.X + axis.bord, valXY.Y - valY.Height, 0, 0);
//valY.HorizontalContentAlignment = System.Windows.HorizontalAlignment.Left;
valY.TextAlignment = axis.taY;
}
gr.Children.Add(el);
gr.Children.Add(valX);
gr.Children.Add(valY);
gr.Children.Add(polyErr);
gr.Children.Add(diff1);
gr.Children.Add(diff2);
gr.Children.Add(diff1Err);
gr.Children.Add(diff2Err);
}