public override Vector2 Point(double param)
{
var p12 = Arithmetic.Mix(_p[1], _p[2], param);
return(Arithmetic.Mix(Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], param), p12, param),
Arithmetic.Mix(p12, Arithmetic.Mix(_p[2], _p[3], param), param), param));
}
public override void SplitInThirds(out EdgeSegment part1, out EdgeSegment part2, out EdgeSegment part3)
{
part1 = new QuadraticSegment(Color, _p[0], Arithmetic.Mix(_p[0], _p[1], 1.0 / 3.0), Point(1.0 / 3.0));
part2 = new QuadraticSegment(Color, Point(1.0 / 3.0),
Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], 5.0 / 9.0), Arithmetic.Mix(_p[1], _p[2], 4.0 / 9.0), 0.5),
Point(2 / 3.0));
part3 = new QuadraticSegment(Color, Point(2.0 / 3.0), Arithmetic.Mix(_p[1], _p[2], 2.0 / 3.0), _p[2]);
}
private static FloatRgb Mix(FloatRgb a, FloatRgb b, double weight)
{
var output = new FloatRgb
{
R = Arithmetic.Mix(a.R, b.R, weight),
G = Arithmetic.Mix(a.G, b.G, weight),
B = Arithmetic.Mix(a.B, b.B, weight)
};
return(output);
}
private static float Sample(Bitmap <float> bitmap, Vector2 pos)
{
int w = bitmap.Width, h = bitmap.Height;
var x = pos.X * w - .5;
var y = pos.Y * h - .5;
var l = (int)Math.Floor(x);
var b = (int)Math.Floor(y);
var r = l + 1;
var t = b + 1;
var lr = x - l;
var bt = y - b;
l = Math.Clamp(l, 0, w - 1);
r = Math.Clamp(r, 0, w - 1);
b = Math.Clamp(b, 0, h - 1);
t = Math.Clamp(t, 0, h - 1);
return(Arithmetic.Mix(Arithmetic.Mix(bitmap[l, b], bitmap[r, b], lr),
Arithmetic.Mix(bitmap[l, t], bitmap[r, t], lr), bt));
}
public override Vector2 Direction(double param)
{
var tangent = Arithmetic.Mix(Arithmetic.Mix(_p[1] - _p[0], _p[2] - _p[1], param),
Arithmetic.Mix(_p[2] - _p[1], _p[3] - _p[2], param), param);
if (!tangent)
{
if (param == 0)
{
return(_p[2] - _p[0]);
}
if (param == 1)
{
return(_p[3] - _p[1]);
}
}
return(tangent);
}
public override void SplitInThirds(out EdgeSegment part1, out EdgeSegment part2, out EdgeSegment part3)
{
part1 = new CubicSegment(Color, _p[0], _p[0] == _p[1] ? _p[0] : Arithmetic.Mix(_p[0], _p[1], 1.0 / 3.0),
Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], 1.0 / 3.0), Arithmetic.Mix(_p[1], _p[2], 1.0 / 3.0),
1.0 / 3.0), Point(1.0 / 3.0));
part2 = new CubicSegment(Color, Point(1.0 / 3.0),
Arithmetic.Mix(
Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], 1.0 / 3.0), Arithmetic.Mix(_p[1], _p[2], 1.0 / 3.0),
1.0 / 3.0),
Arithmetic.Mix(Arithmetic.Mix(_p[1], _p[2], 1.0 / 3.0), Arithmetic.Mix(_p[2], _p[3], 1.0 / 3.0),
1.0 / 3.0), 2.0 / 3.0),
Arithmetic.Mix(
Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], 2.0 / 3.0), Arithmetic.Mix(_p[1], _p[2], 2.0 / 3.0),
2.0 / 3.0),
Arithmetic.Mix(Arithmetic.Mix(_p[1], _p[2], 2.0 / 3.0), Arithmetic.Mix(_p[2], _p[3], 2.0 / 3.0),
2.0 / 3.0), 1.0 / 3.0),
Point(2.0 / 3.0));
part3 = new CubicSegment(Color, Point(2.0 / 3.0),
Arithmetic.Mix(Arithmetic.Mix(_p[1], _p[2], 2.0 / 3.0), Arithmetic.Mix(_p[2], _p[3], 2.0 / 3.0),
2.0 / 3.0),
_p[2] == _p[3] ? _p[3] : Arithmetic.Mix(_p[2], _p[3], 2.0 / 3.0), _p[3]);
}
public override Vector2 Direction(double param)
{
return(Arithmetic.Mix(_p[1] - _p[0], _p[2] - _p[1], param));
}
public override Vector2 Point(double param)
{
return(Arithmetic.Mix(Arithmetic.Mix(_p[0], _p[1], param), Arithmetic.Mix(_p[1], _p[2], param), param));
}