public static Path <V, D> FromPie(float radiusX, float radiusY, float startAngle, float endAngle,
int nodeCount)
{
if (radiusY <= 0f || radiusY <= 0f)
{
throw new ArgumentException("Radiuses have to be greater than zero.");
}
if (startAngle == endAngle)
{
endAngle += FMath.TwoPi;
}
var stepAngle = (endAngle - startAngle) / (nodeCount - 1);
var nodes = new V[nodeCount];
var angle = startAngle;
for (var i = 0; i < nodeCount; i++)
{
var pos = Vec.FromArray <D, float> (
radiusX * (float)Math.Cos(angle), radiusY * (float)Math.Sin(angle), 0f, 0f);
nodes [i] = new V()
{
position = pos
};
angle = angle + stepAngle;
}
return(new Path <V, D> (nodes));
}
public static ColorMap <V> GrayScale()
{
return(new ColorMap <V> {
{ 0f, Vec.FromArray <V, float> (0f, 0f, 0f, 1f) },
{ 1f, Vec.FromArray <V, float> (1f, 1f, 1f, 1f) }
});
}
public static Path <V, D> FromRectangle(float width, float height)
{
var halfX = width / 2f;
var halfY = height / 2f;
return(FromVecs(
Vec.FromArray <D, float> (-halfX, -halfY),
Vec.FromArray <D, float> (-halfX, halfY),
Vec.FromArray <D, float> (halfX, halfY),
Vec.FromArray <D, float> (halfX, -halfY)).Close());
}
public static Arbitrary <V> ArbitraryVec <V, T> (int size)
where V : struct, IVec <V, T>
where T : struct, IEquatable <T>
{
var arb = Arbitrary.Get <T> ();
return(new Arbitrary <V> (
from a in arb.Generate.FixedArrayOf(size)
select Vec.FromArray <V, T> (a),
v => from a in v.ToArray <V, T> ().Map(arb.Shrink).Combinations()
select Vec.FromArray <V, T> (a)));
}
public void CheckMultiplyWithVector <V> () where V : struct, IVec <V, float>
{
(from vec in Prop.ForAll <V> ()
from scalar in Prop.ForAll <float> ()
let len = vec.Length
let scaleVec = Vec.FromArray <V, float> (scalar.Duplicate(vec.Dimensions))
let scaled = vec.Multiply(scaleVec)
let len_scaled = scaled.Length
let scalar_x_len = FMath.Abs(scaleVec[0] * len)
select new { vec, scaleVec, len, scaled, len_scaled, scalar_x_len })
.Check(p => p.len_scaled.ApproxEquals(p.scalar_x_len),
label: $"{typeof (V).Name}: | vec * scale | = scale.x * | vec | when scale is uniform");
}
public void CheckMultiplyWithVector <V> () where V : struct, IVec <V, float>
{
var prop = from vec in Prop.Choose <V> ()
from scalar in Prop.Choose <float> ()
let len = vec.Length
let scaleVec = Vec.FromArray <V, float> (scalar.Duplicate(vec.Dimensions))
let scaled = vec.Multiply(scaleVec)
let len_scaled = scaled.Length
let scalar_x_len = FMath.Abs(scaleVec[0] * len)
select new { vec, scaleVec, len, scaled, len_scaled, scalar_x_len };
prop.Label("{0}: | vec * scale | = scale.x * | vec | when scale.xyzw are equal", typeof(V).Name)
.Check(p => p.len_scaled.ApproxEquals(p.scalar_x_len));
}
public static IVertexColor <V> RGB(float red, float green, float blue)
{
return(new VertColor(Vec.FromArray <V, float> (red, green, blue, 1f)));
}