me/Tetrahedrons
Archived
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

simple projections through 4d

Browse Source
This commit is contained in:
David Allemang
2018-04-04 02:04:11 -04:00
parent ac5cd8dd1d
commit 632172e876
2 changed files with 52 additions and 7 deletions
Download Patch File Download Diff File Expand all files Collapse all files

3
Tetrahedrons/MVec4D.cs
View File

@@ -61,6 +61,9 @@ namespace Tetrahedrons
}
}
public Vector4d V4 => new Vector4d(X, Y, Z, W);
public Vector3d V3 => new Vector3d(X, Y, Z);
#region Swizzle
public double Yx

56
Tetrahedrons/TetrahedronWindow.cs
View File

@@ -1,6 +1,7 @@
using System;
using System.Collections.Generic;
using System.Drawing;
using System.Drawing.Printing;
using System.Net.Mail;
using System.Security;
using OpenTK;
@@ -15,8 +16,10 @@ namespace Tetrahedrons
private Matrix4 _proj3d;
private Matrix4 _view;
Vector3d a = Vector3d.UnitX;
Vector3d b = Vector3d.UnitY;
MVec4D a = MVec4D.UnitX;
MVec4D b = MVec4D.UnitY;
MVec4D v = MVec4D.Vec1(1, 1, 0, -1);
MVec4D t = MVec4D.Vec1(0, 0, 0, 1);
protected override void OnLoad(EventArgs e)
{
@@ -25,7 +28,8 @@ namespace Tetrahedrons
X = (DisplayDevice.Default.Width - Width) / 2;
Y = (DisplayDevice.Default.Height - Height) / 2;
_view = Matrix4.LookAt(Vector3.Zero, -new Vector3(1, .6f, 1f), Vector3.UnitZ);
_view = Matrix4.LookAt(Vector3.Zero, -new Vector3(1, 1, 1), Vector3.UnitZ);
}
protected override void OnRenderFrame(FrameEventArgs e)
@@ -35,7 +39,9 @@ namespace Tetrahedrons
GL.Viewport(ClientRectangle);
GL.Clear(ClearBufferMask.ColorBufferBit | ClearBufferMask.DepthBufferBit);
GL.Enable(EnableCap.DepthTest);
GL.PointSize(10f);
GL.LineWidth(3f);
GL.PushMatrix();
@@ -44,11 +50,41 @@ namespace Tetrahedrons
GL.MatrixMode(MatrixMode.Modelview);
GL.LoadMatrix(ref _view);
GL.Disable(EnableCap.DepthTest);
GL.Begin(PrimitiveType.TriangleStrip);
GL.Vertex3(-a - b);
GL.Vertex3(-a + b);
GL.Vertex3(a - b);
GL.Vertex3(a + b);
GL.Color3(1d, 1, 1);
GL.Vertex3((-a - b).V3);
GL.Vertex3((-a + b).V3);
GL.Vertex3((a - b).V3);
GL.Vertex3((a + b).V3);
GL.End();
GL.Enable(EnableCap.DepthTest);
GL.Begin(PrimitiveType.Lines);
GL.Color3(1d,0,0); GL.Vertex3(0,0,0); GL.Vertex3(1,0,0);
GL.Color3(0,1d,0); GL.Vertex3(0,0,0); GL.Vertex3(0,1,0);
GL.Color3(0,0,1d); GL.Vertex3(0,0,0); GL.Vertex3(0,0,1);
GL.End();
var B = MVec4D.UnitXyz;
var bt = B ^ t;
var bv = B ^ v;
var alph = bt / bv ?? MVec4D.Zero;
var dt = alph * v;
var p = t - dt;
Console.Out.WriteLine("p = {0}", p);
GL.Begin(PrimitiveType.Lines);
GL.Color3(.5 + t.W/4, 0, .5 - t.W/4);
GL.Vertex3(t.V3);
GL.Color3(.5 + (t + v).W/4, 0, .5 - (t + v).W/4);
GL.Vertex3((t + v).V3);
GL.End();
GL.Begin(PrimitiveType.Points);
GL.Color3(0d, 0, 1);
GL.Vertex3(p.V3);
GL.End();
SwapBuffers();
@@ -59,6 +95,12 @@ namespace Tetrahedrons
base.OnUpdateFrame(e);
_proj3d = Matrix4.CreateOrthographic(6, 6f * Height / Width, -2, 2);
var rv = MVec4D.Rotor(e.Time, MVec4D.UnitXy);
v = rv * v * !rv;
var rt = MVec4D.Rotor(e.Time / 4, MVec4D.UnitZw);
t = rt * t * !rt;
}
}
}