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Isometrics work now.

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This commit is contained in:
That_One_Nerd 2023-09-05 13:54:33 -04:00
parent 99b3185f38
commit c1570b74e1
2 changed files with 22 additions and 4 deletions
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22
Nerd_STF/Mathematics/Algebra/ProjectionMatrix.cs
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@ -40,13 +40,27 @@ public class ProjectionMatrix : Matrix3x3
public ProjectionMatrix(Fill<int> r1, Fill<int> r2, Fill<int> r3)
: this(r1(0), r1(1), r1(2), r2(0), r2(1), r2(2), r3(0), r3(1), r3(2)) { }
public static ProjectionMatrix SingleViewProjection(CrossSection2d section) => new(new[,]
public static ProjectionMatrix Orthographic(CrossSection2d section) => new(new[,]
{
{ section == CrossSection2d.XY || section == CrossSection2d.ZX ? 1 : 0, 0, 0 },
{ 0, section == CrossSection2d.XY || section == CrossSection2d.YZ ? 1 : 0, 0 },
{ 0, 0, section == CrossSection2d.YZ || section == CrossSection2d.ZX ? 1 : 0 }
});
public static ProjectionMatrix IsometricProjection(Angle alpha, Angle beta)
public static ProjectionMatrix Isometric()
{
const float invSqrt2 = 0.707106781187f,
invSqrt3 = 0.57735026919f,
invSqrt6 = 0.408248290464f,
invSqrt6_2 = 0.816496580928f;
return new(new[,]
{
{ invSqrt2, 0, -invSqrt2 },
{ invSqrt6, invSqrt6_2, invSqrt6 },
{ 0, 0, 0 },
});
}
public static ProjectionMatrix Isometric(Angle alpha, Angle beta)
{
Matrix3x3 alphaMat = new(new[,]
{
@ -66,8 +80,8 @@ public class ProjectionMatrix : Matrix3x3
{ 0, 1, 0 },
{ 0, 0, 0 }
});
Matrix3x3 result = alphaMat * betaMat * flatten;
return new(result.ToFill2D());
Matrix3x3 result = (alphaMat * betaMat).Transpose() * flatten;
return new(result.Transpose().ToFill2D());
}
public Fill<Float3> Project(Fill<Float3> toProject) => i => this * toProject(i);

4
Nerd_STF/Mathematics/Samples/Constants.cs
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@ -67,6 +67,10 @@ public static class Constants
public const float Tan60Deg = Sqrt3;
public const float Tan90Deg = float.PositiveInfinity;
public static readonly Angle IsometricAngle = (35.2643896828f, Angle.Type.Degrees);
public const float IsometricCos = 0.816496580928f;
public const float IsometricSin = 0.57737026919f;
public const float AperyConstant = 1.2020569031f;
public const float ArtinConstant = 0.3739558136f;
public const float AsymptoticLebesgueConstant = 0.9894312738f;