private void RenderFunction()
{
int w = this.imageBuffer.Width - 2;
int h = this.imageBuffer.Height - 2;
int cx = this.imageBuffer.Width / 2;
int cy = this.imageBuffer.Height / 2;
double[, ,] points = new double[h, w, 4];
RawExpression efx = this.function.Simplify();
var edfdx = efx.Different("x").Simplify();
var edfdy = efx.Different("y").Simplify();
var fx = efx.ToCode();
var dfdx = edfdx.ToCode();
var dfdy = edfdy.ToCode();
UpdateMessage("Computing...");
gpu.FillPoints(this.imageBuffer.Width, this.imageBuffer.Height, this.unitPixels, this.originX, this.originY, fx, dfdx, dfdy, points);
//int done = 0;
//int max = w + h;
//int total = Environment.ProcessorCount * 8;
//Parallel.For(0, total, (i) =>
//{
// int dh = (h + total - h % total) / total;
// int dw = (w + total - w % total) / total;
// int starty = 1 + i * dh;
// int endy = Math.Min(h + 1, starty + dh);
// int startx = 1 + i * dw;
// int endx = Math.Min(w + 1, startx + dw);
// int loops = (endy - starty + 1) + (endx - startx + 1);
// for (int y = starty; y < endy; y++)
// {
// double py = this.originY + (double)(y - cy) / this.unitPixels;
// RawExpression efx = this.function.Apply("y", py).Simplify();
// RawExpression edfx = efx.Different("x").Simplify();
// Func<double, double> fx = efx.Compile("x");
// Func<double, double> dfx = edfx.Compile("x");
// for (int x = 1; x <= w; x++)
// {
// points[y - 1, x - 1, 0] = fx.Solve(dfx, points[y - 1, x - 1, 0]);
// }
// int current = Interlocked.Increment(ref done);
// if (current % 10 == 0)
// {
// UpdateMessage(current.ToString() + "/" + max.ToString());
// }
// }
// for (int x = startx; x < endx; x++)
// {
// double px = this.originX + (double)(cx - x) / this.unitPixels;
// RawExpression efy = this.function.Apply("x", px).Simplify();
// RawExpression edfy = efy.Different("y").Simplify();
// Func<double, double> fy = efy.Compile("y");
// Func<double, double> dfy = edfy.Compile("y");
// for (int y = 1; y <= h; y++)
// {
// points[y - 1, x - 1, 3] = fy.Solve(dfy, points[y - 1, x - 1, 3]);
// }
// int current = Interlocked.Increment(ref done);
// if (current % 10 == 0)
// {
// UpdateMessage(current.ToString() + "/" + max.ToString());
// }
// }
//});
UpdateMessage("Rendering...");
BitmapData data = this.imageBuffer.LockBits(new Rectangle(0, 0, this.imageBuffer.Width, this.imageBuffer.Height), ImageLockMode.ReadWrite, PixelFormat.Format24bppRgb);
for (int y = 1; y <= h; y++)
{
for (int x = 1; x <= w; x++)
{
double x1 = points[y - 1, x - 1, 0];
double y1 = points[y - 1, x - 1, 1];
double x2 = points[y - 1, x - 1, 2];
double y2 = points[y - 1, x - 1, 3];
if (!double.IsInfinity(x1) && !double.IsNaN(x1))
{
Fill(data, x1, y1, cx, cy, w, h);
}
if (!double.IsInfinity(y2) && !double.IsNaN(y2))
{
Fill(data, x2, y2, cx, cy, w, h);
}
}
}
this.imageBuffer.UnlockBits(data);
UpdateMessage("(Ready)");
}
public string ToCode(RawExpression expression)
{
return(expression.ToCode());
}
static void Main(string[] args)
{
{
string e = "(k1 *Cs1 + k2 * Co2) / (k1 * C1 + k2 * C2)";
{
RawExpression exp = RawExpression.Parse(e);
RawExpression dk1 = exp.Different("k1").Simplify();
RawExpression dk2 = exp.Different("k2").Simplify();
Console.WriteLine("input:\t\t" + e);
Console.WriteLine("parse:\t\t" + exp.ToCode());
Console.WriteLine("dk1:\t\t" + dk1.ToCode());
Console.WriteLine("dk2:\t\t" + dk2.ToCode());
}
// cs1 = 128, Co2 = 1024, C1 = 256, C2 = 2048
Dictionary <string, double> values = new Dictionary <string, double>
{
{ "Cs1", 128 },
{ "Co2", 1024 },
{ "C1", 256 },
{ "C2", 2048 },
};
foreach (var p in values)
{
Console.WriteLine("{0} => {1}", p.Value, p.Key);
}
{
RawExpression exp = RawExpression.Parse(e).Apply(values).Simplify();
RawExpression dk1 = exp.Different("k1").Simplify();
RawExpression dk2 = exp.Different("k2").Simplify();
Console.WriteLine("applied:\t" + exp.ToCode());
Console.WriteLine("dk1:\t\t" + dk1.ToCode());
Console.WriteLine("dk2:\t\t" + dk2.ToCode());
}
}
{
string[] expressions =
{
"1",
"1.2",
"-3",
"12+34",
"56*78",
"x^y",
"x+2*y+4",
"(x+y)*(3+4)",
"exp(x+y)",
"x+ln(y)",
"x/y",
"exp(x)/ln(x)",
"sin(x)",
"cos(x)",
"tan(x)",
"cot(x)",
"sec(x)",
"csc(x)",
};
foreach (var e in expressions)
{
RawExpression exp = RawExpression.Parse(e);
Console.WriteLine("input:\t\t" + e);
Console.WriteLine("parse:\t\t" + exp.ToCode());
Console.WriteLine("simplified:\t" + exp.Simplify().ToCode());
Console.WriteLine("dx:\t\t" + exp.Different("x").Simplify().ToCode());
Console.WriteLine("dy:\t\t" + exp.Different("y").Simplify().ToCode());
Console.WriteLine("no x:\t\t" + exp.Apply("x", 0).Simplify().ToCode());
Console.WriteLine("no y:\t\t" + exp.Apply("y", 0).Simplify().ToCode());
Console.WriteLine();
Debug.Assert(exp.ToCode() == RawExpression.Parse(exp.ToCode()).ToCode());
}
}
{
string[] expressions =
{
"(x-3)*(x-5)",
"ln(x)/ln(2)-3",
"(x-5)^2-4",
};
foreach (var e in expressions)
{
RawExpression exp = RawExpression.Parse(e);
Console.WriteLine("input:\t\t" + e);
Console.WriteLine("parse:\t\t" + exp.ToCode());
for (int i = 0; i < 10; i++)
{
Console.WriteLine("solve:\t\t" + i.ToString() + " => " + exp.Solve("x", i).ToString());
}
Console.WriteLine();
}
}
}