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Added support for n-dimensional rotation angles, implemented demo rendering and simple geometry support.

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This commit is contained in:
igorigrik 2024-09-29 20:03:42 +03:00
parent 2615656df2
commit 075a13810c
13 changed files with 621 additions and 68 deletions
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95
Demo/AngleBar.Designer.cs generated Normal file
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@ -0,0 +1,95 @@

namespace Demo
{
partial class AngleBar
{
/// <summary>
/// Required designer variable.
/// </summary>
private System.ComponentModel.IContainer components = null;
/// <summary>
/// Clean up any resources being used.
/// </summary>
/// <param name="disposing">true if managed resources should be disposed; otherwise, false.</param>
protected override void Dispose(bool disposing)
{
if (disposing && (components != null))
{
components.Dispose();
}
base.Dispose(disposing);
}
#region Component Designer generated code
/// <summary>
/// Required method for Designer support - do not modify
/// the contents of this method with the code editor.
/// </summary>
private void InitializeComponent()
{
this.trackBar1 = new System.Windows.Forms.TrackBar();
this.numericUpDown1 = new System.Windows.Forms.NumericUpDown();
this.checkBox1 = new System.Windows.Forms.CheckBox();
((System.ComponentModel.ISupportInitialize)(this.trackBar1)).BeginInit();
((System.ComponentModel.ISupportInitialize)(this.numericUpDown1)).BeginInit();
this.SuspendLayout();
//
// trackBar1
//
this.trackBar1.Dock = System.Windows.Forms.DockStyle.Fill;
this.trackBar1.Location = new System.Drawing.Point(0, 0);
this.trackBar1.Maximum = 360;
this.trackBar1.Minimum = 0;
this.trackBar1.Name = "trackBar1";
this.trackBar1.Size = new System.Drawing.Size(485, 34);
this.trackBar1.TabIndex = 0;
this.trackBar1.Scroll += new System.EventHandler(this.trackBar1_Scroll);
//
// numericUpDown1
//
this.numericUpDown1.AutoSize = true;
this.numericUpDown1.Dock = System.Windows.Forms.DockStyle.Right;
this.numericUpDown1.Font = new System.Drawing.Font("Segoe UI", 12F, System.Drawing.FontStyle.Regular, System.Drawing.GraphicsUnit.Point);
this.numericUpDown1.Location = new System.Drawing.Point(485, 0);
this.numericUpDown1.Maximum = 360;
this.numericUpDown1.Minimum = 0;
this.numericUpDown1.Name = "numericUpDown1";
this.numericUpDown1.Size = new System.Drawing.Size(53, 29);
this.numericUpDown1.TabIndex = 1;
this.numericUpDown1.ValueChanged += new System.EventHandler(this.numericUpDown1_ValueChanged);
//
// checkBox1
//
this.checkBox1.AutoSize = true;
this.checkBox1.Dock = System.Windows.Forms.DockStyle.Left;
this.checkBox1.Location = new System.Drawing.Point(0, 0);
this.checkBox1.Name = "checkBox1";
this.checkBox1.Size = new System.Drawing.Size(15, 34);
this.checkBox1.TabIndex = 2;
this.checkBox1.UseVisualStyleBackColor = true;
//
// AngleBar
//
this.AutoScaleDimensions = new System.Drawing.SizeF(7F, 15F);
this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
this.Controls.Add(this.trackBar1);
this.Controls.Add(this.numericUpDown1);
this.Controls.Add(this.checkBox1);
this.Name = "AngleBar";
this.Size = new System.Drawing.Size(538, 34);
((System.ComponentModel.ISupportInitialize)(this.trackBar1)).EndInit();
((System.ComponentModel.ISupportInitialize)(this.numericUpDown1)).EndInit();
this.ResumeLayout(false);
this.PerformLayout();
}
#endregion
private System.Windows.Forms.TrackBar trackBar1;
private System.Windows.Forms.NumericUpDown numericUpDown1;
private System.Windows.Forms.CheckBox checkBox1;
}
}

39
Demo/AngleBar.cs Normal file
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@ -0,0 +1,39 @@
using System;
using System.Collections.Generic;
using System.ComponentModel;
using System.Data;
using System.Drawing;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
namespace Demo
{
public partial class AngleBar : UserControl
{
public AngleBar()
{
InitializeComponent();
}
public double Angle
{
get => trackBar1.Value / 180.0 * Math.PI;
set => numericUpDown1.Value = (decimal)((value % (Math.PI*2)) / Math.PI * 180);
}
public bool Checked => checkBox1.Checked;
private void trackBar1_Scroll(object sender, EventArgs e)
{
numericUpDown1.Value = trackBar1.Value;
}
private void numericUpDown1_ValueChanged(object sender, EventArgs e)
{
trackBar1.Value = (int)numericUpDown1.Value;
}
}
}

60
Demo/AngleBar.resx Normal file
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@ -0,0 +1,60 @@
<root>
<xsd:schema id="root" xmlns="" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns:msdata="urn:schemas-microsoft-com:xml-msdata">
<xsd:import namespace="http://www.w3.org/XML/1998/namespace" />
<xsd:element name="root" msdata:IsDataSet="true">
<xsd:complexType>
<xsd:choice maxOccurs="unbounded">
<xsd:element name="metadata">
<xsd:complexType>
<xsd:sequence>
<xsd:element name="value" type="xsd:string" minOccurs="0" />
</xsd:sequence>
<xsd:attribute name="name" use="required" type="xsd:string" />
<xsd:attribute name="type" type="xsd:string" />
<xsd:attribute name="mimetype" type="xsd:string" />
<xsd:attribute ref="xml:space" />
</xsd:complexType>
</xsd:element>
<xsd:element name="assembly">
<xsd:complexType>
<xsd:attribute name="alias" type="xsd:string" />
<xsd:attribute name="name" type="xsd:string" />
</xsd:complexType>
</xsd:element>
<xsd:element name="data">
<xsd:complexType>
<xsd:sequence>
<xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
<xsd:element name="comment" type="xsd:string" minOccurs="0" msdata:Ordinal="2" />
</xsd:sequence>
<xsd:attribute name="name" type="xsd:string" use="required" msdata:Ordinal="1" />
<xsd:attribute name="type" type="xsd:string" msdata:Ordinal="3" />
<xsd:attribute name="mimetype" type="xsd:string" msdata:Ordinal="4" />
<xsd:attribute ref="xml:space" />
</xsd:complexType>
</xsd:element>
<xsd:element name="resheader">
<xsd:complexType>
<xsd:sequence>
<xsd:element name="value" type="xsd:string" minOccurs="0" msdata:Ordinal="1" />
</xsd:sequence>
<xsd:attribute name="name" type="xsd:string" use="required" />
</xsd:complexType>
</xsd:element>
</xsd:choice>
</xsd:complexType>
</xsd:element>
</xsd:schema>
<resheader name="resmimetype">
<value>text/microsoft-resx</value>
</resheader>
<resheader name="version">
<value>2.0</value>
</resheader>
<resheader name="reader">
<value>System.Resources.ResXResourceReader, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
</resheader>
<resheader name="writer">
<value>System.Resources.ResXResourceWriter, System.Windows.Forms, Version=4.0.0.0, Culture=neutral, PublicKeyToken=b77a5c561934e089</value>
</resheader>
</root>

28
Demo/Form1.Designer.cs generated
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@ -29,7 +29,10 @@ namespace Demo
/// </summary>
private void InitializeComponent()
{
this.components = new System.ComponentModel.Container();
this.pictureBox1 = new System.Windows.Forms.PictureBox();
this.timer1 = new System.Windows.Forms.Timer(this.components);
this.panel1 = new System.Windows.Forms.Panel();
((System.ComponentModel.ISupportInitialize)(this.pictureBox1)).BeginInit();
this.SuspendLayout();
//
@ -38,27 +41,46 @@ namespace Demo
this.pictureBox1.Dock = System.Windows.Forms.DockStyle.Fill;
this.pictureBox1.Location = new System.Drawing.Point(0, 0);
this.pictureBox1.Name = "pictureBox1";
this.pictureBox1.Size = new System.Drawing.Size(800, 450);
this.pictureBox1.Size = new System.Drawing.Size(788, 766);
this.pictureBox1.TabIndex = 0;
this.pictureBox1.TabStop = false;
this.pictureBox1.Click += new System.EventHandler(this.pictureBox1_Click);
this.pictureBox1.SizeChanged += new System.EventHandler(this.pictureBox1_SizeChanged);
//
// timer1
//
this.timer1.Enabled = true;
this.timer1.Interval = 50;
this.timer1.Tick += new System.EventHandler(this.timer1_Tick);
//
// panel1
//
this.panel1.AutoSize = true;
this.panel1.Dock = System.Windows.Forms.DockStyle.Top;
this.panel1.Location = new System.Drawing.Point(0, 0);
this.panel1.Name = "panel1";
this.panel1.Size = new System.Drawing.Size(788, 0);
this.panel1.TabIndex = 1;
//
// Form1
//
this.AutoScaleDimensions = new System.Drawing.SizeF(7F, 15F);
this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Font;
this.ClientSize = new System.Drawing.Size(800, 450);
this.ClientSize = new System.Drawing.Size(788, 766);
this.Controls.Add(this.pictureBox1);
this.Controls.Add(this.panel1);
this.Name = "Form1";
this.Text = "Form1";
((System.ComponentModel.ISupportInitialize)(this.pictureBox1)).EndInit();
this.ResumeLayout(false);
this.PerformLayout();
}
#endregion
private System.Windows.Forms.PictureBox pictureBox1;
private System.Windows.Forms.Timer timer1;
private System.Windows.Forms.Panel panel1;
}
}

188
Demo/Form1.cs
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@ -9,6 +9,8 @@ using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Windows.Forms;
using YMath.Geometry;
using System.Diagnostics.CodeAnalysis;
namespace Demo
{
@ -17,74 +19,156 @@ namespace Demo
public Form1()
{
InitializeComponent();
CreateTrackBars();
InitializeImage();
}
private void pictureBox1_Click(object sender, EventArgs e)
double angle = 0;
private void Render(Bitmap bmp)
{
g.Clear(Color.White);
Projector projector3d2d = new Projector(
new Camera(1),
new CoordSystem(new Vector(0, 0, 2), YMath.Matrix.Ident(3)));
Projector projector4d3d = new Projector(
new Camera(1),
new CoordSystem(new Vector(0, 0, 0, 3), YMath.Matrix.Ident(4)));
Geom geom = Geometries.NewCube(4);
double[] angles = angleSelectBars.Select(b => b.Angle).ToArray();
projector4d3d.CoordSystem.RotationMatrix
= YMath.Matrix.Rotation(4, angles);
angle += 0.01;
geom = projector4d3d.Project(geom);
geom = projector3d2d.Project(geom);
foreach (var v in geom.Verticies)
DrawPoint(v);
foreach (var line in geom.Edges)
DrawLine(line);
}
private void DrawPoint(Vector v)
{
var pos = Denormalize(v);
var diameter = 2;
var rect = new RectangleF(
pos.X - diameter, pos.Y - diameter, diameter * 2, diameter * 2);
g.FillEllipse(Brushes.Black, rect);
}
private void DrawLine(LineSegment line)
{
/*var g = pictureBox1.CreateGraphics();
g.SmoothingMode = SmoothingMode.HighQuality;
var pen = new Pen(Brushes.Black, 2);
var rect = CubePoints(100.0, 2);
DrawLines(g, pen, rect);*/
}/*
// [-1; 1] -> [0; width]
private static Vector[] RelativeToAbsolute(Vector[] points, int width, int height)
{
return points.Select(p => new Vector(
(p[0] + 1) / 2 * width,
(p[1] + 1) / 2 * height))
.ToArray();
g.DrawLine(pen, Denormalize(line.Start), Denormalize(line.End));
}
private static void DrawLines(Graphics g, Pen pen, Line[] lines)
private PointF Denormalize(Vector p)
{
foreach (var line in lines)
g.DrawLine(pen,
new PointF((float)line.Start[0], (float)line.End[1]),
new PointF((float)line.Start[0], (float)line.End[1]));
p = (p + new Vector(1, 1)) / 2;
p[0] *= bmp.Width;
p[1] = 1 - p[1];
p[1] *= bmp.Height;
return new PointF((float)p[0], (float)p[1]);
}
public struct Line
private void timer1_Tick(object sender, EventArgs e)
{
public Line(Vector start, Vector end)
Render(bmp);
pictureBox1.Refresh();
foreach (var bar in angleSelectBars)
if (bar.Checked)
bar.Angle += 0.03;
}
Bitmap bmp;
Graphics g;
private void pictureBox1_SizeChanged(object sender, EventArgs e)
{
InitializeImage();
}
[MemberNotNull(nameof(bmp), nameof(g))]
private void InitializeImage()
{
bmp = new Bitmap(pictureBox1.Width, pictureBox1.Width);
g = Graphics.FromImage(bmp);
g.SmoothingMode = SmoothingMode.HighQuality;
pictureBox1.Image = bmp;
}
AngleBar[] angleSelectBars;
private void CreateTrackBars()
{
angleSelectBars = new AngleBar[6];
for (int i = 0; i < angleSelectBars.Length; i++)
{
Start = start;
End = end;
var bar = new AngleBar();
bar.Dock = DockStyle.Top;
panel1.Controls.Add(bar);
angleSelectBars[i] = bar;
bar.BringToFront();
}
public Vector Start { get; set; }
public Vector End { get; set; }
}
public static Line[] Cube(int nDimensions)
{
if (nDimensions == 0)
return new Vector[] { new Vector(0) };
/*
var result = new List<Vector>();
var offset = new Vector(nDimensions);
offset[nDimensions - 1] = 1;
var face /*боже*//* = Cube(nDimensions - 1);
result.AddRange(face.Select(p => p + offset));
result.AddRange(face.Select(p => p - offset));
// [-1; 1] -> [0; width]
private static Vector[] RelativeToAbsolute(Vector[] points, int width, int height)
{
return points.Select(p => new Vector(
(p[0] + 1) / 2 * width,
(p[1] + 1) / 2 * height))
.ToArray();
}
}
private static void DrawLines(Graphics g, Pen pen, Line[] lines)
{
foreach (var line in lines)
g.DrawLine(pen,
new PointF((float)line.Start[0], (float)line.End[1]),
new PointF((float)line.Start[0], (float)line.End[1]));
}
public static Vector[] CubePoints(double size, int nDimensions)
{
int n = 1 << nDimensions;
if (nDimensions >= 32)
throw new ArgumentException("Fuck yourself");
var result = new Vector[n];
for (int i = 0; i < n; i++)
{
var vec = new Vector(nDimensions);
for (int j = 0; j < nDimensions; j++)
vec[j] = ((i >> j) & 1) - 0.5;
result[i] = vec;
}
return result;
}*/
public static Line[] Cube(int nDimensions)
{
if (nDimensions == 0)
return new Vector[] { new Vector(0) };
var result = new List<Vector>();
var offset = new Vector(nDimensions);
offset[nDimensions - 1] = 1;
var face /*боже*//* = Cube(nDimensions - 1);
result.AddRange(face.Select(p => p + offset));
result.AddRange(face.Select(p => p - offset));
}
public static Vector[] CubePoints(double size, int nDimensions)
{
int n = 1 << nDimensions;
if (nDimensions >= 32)
throw new ArgumentException("Fuck yourself");
var result = new Vector[n];
for (int i = 0; i < n; i++)
{
var vec = new Vector(nDimensions);
for (int j = 0; j < nDimensions; j++)
vec[j] = ((i >> j) & 1) - 0.5;
result[i] = vec;
}
return result;
}*/
}
}

11
Demo/Program.cs
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@ -18,17 +18,6 @@ namespace Demo
Application.SetHighDpiMode(HighDpiMode.SystemAware);
Application.EnableVisualStyles();
Application.SetCompatibleTextRenderingDefault(false);
Projector p = new Projector(
new Camera(1),
new CoordSystem(new Vector(), Matrix.Ident(4)));
var point = p.Project(new Vector(1, 1, 1, 2));
Application.Run(new Form1());
}
}

4
YMath.sln
View file

@ -3,9 +3,9 @@ Microsoft Visual Studio Solution File, Format Version 12.00
# Visual Studio Version 16
VisualStudioVersion = 16.0.30711.63
MinimumVisualStudioVersion = 10.0.40219.1
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "YMath", "YMath\YMath.csproj", "{33638CEC-2BD2-4B91-A1CB-0383F7E429BE}"
Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "YMath", "YMath\YMath.csproj", "{33638CEC-2BD2-4B91-A1CB-0383F7E429BE}"
EndProject
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Demo", "Demo\Demo.csproj", "{CE175AF3-5242-4178-BB97-54956FE958D8}"
Project("{9A19103F-16F7-4668-BE54-9A1E7A4F7556}") = "Demo", "Demo\Demo.csproj", "{CE175AF3-5242-4178-BB97-54956FE958D8}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution

42
YMath/Combinatorics.cs Normal file
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@ -0,0 +1,42 @@
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace YMath
{
/// <summary>
/// Basic combinatorial functions
/// </summary>
static class Combinatorics
{
/// <summary>
/// Returns number of k-combinations from set of n elements
/// (aka binomial coefficient)
/// </summary>
public static int C(int n, int k)
{
// https://stackoverflow.com/questions/9330915/number-of-combinations-n-choose-r-in-c
if (k > n) return 0;
if (k * 2 > n) k = n - k;
if (k == 0) return 1;
int result = n;
for (int i = 2; i <= k; ++i)
{
result *= (n - i + 1);
result /= i;
}
return result;
}
public static int Factorial(int n)
{
int res = 1;
for (int i = 1; i < n; n++)
res *= i;
return res;
}
}
}

78
YMath/Geometry/Geom.cs Normal file
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@ -0,0 +1,78 @@
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace YMath.Geometry
{
/// <summary>
/// Represents geomretry object
/// </summary>
public class Geom : ICloneable
{
/// <summary>
/// Creates new geometry containing given points and lines
/// </summary>
public Geom(Vector[] verticies, LineSegment[] edges)
{
IEnumerable<int> dimensions = verticies
.Select(v => v.Dimensions)
.Concat(edges.SelectMany(
e => new[] { e.Start.Dimensions, e.End.Dimensions }));
if (!dimensions.All(d => d == dimensions.First()))
throw new ArgumentException("Dimensions inconsistent");
Verticies = verticies;
Edges = edges;
}
/// <summary>
/// Creates a new geomretry merging the given set of geometries
/// </summary>
/// <param name="geometries"></param>
public Geom(params Geom[] geometries)
: this(geometries.SelectMany( g=> g.Verticies).ToArray(),
geometries.SelectMany(g => g.Edges).ToArray())
{
}
/// <summary>
/// Verticies of the object
/// </summary>
public Vector[] Verticies { get; set; }
/// <summary>
/// Edges of the object
/// </summary>
public LineSegment[] Edges { get; set; }
public object Clone()
{
return new Geom(
(Vector[])Verticies.Clone(), (LineSegment[])Edges.Clone());
}
/// <summary>
/// Shifts the object by a given vector
/// </summary>
public static Geom operator +(Geom left, Vector shift)
{
return new Geom(
left.Verticies.Select(v => v + shift).ToArray(),
left.Edges.Select(l => new LineSegment(l.Start + shift, l.End + shift)).ToArray());
}
public override string ToString()
{
var b = new StringBuilder();
b.AppendLine("Verticies:");
foreach (var v in Verticies)
b.AppendLine(" " + v.ToString());
b.AppendLine("Edges:");
foreach (var v in Edges)
b.AppendLine(" " + v.ToString());
return b.ToString();
}
}
}

41
YMath/Geometry/Geometries.cs Normal file
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@ -0,0 +1,41 @@
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace YMath.Geometry
{
/// <summary>
/// A helper class to build arbitrary objects
/// </summary>
public static class Geometries
{
/// <summary>
/// Returns a new n-dimensional cube
/// </summary>
/// <param name="nDimesions">Number of dimensions</param>
/// <returns>A new n-dimensional cubes. All coordinates of all verticies are either +1 or -1.</returns>
public static Geom NewCube(uint nDimesions)
{
if (nDimesions == 0)
return new Geom(new Vector[] { new Vector(0) },
new LineSegment[0]);
// Creating two n-1 dimensional faces
var offset = new Vector((int)nDimesions);
offset[offset.Dimensions - 1] = 1;
var face /*боже*/ = NewCube(nDimesions-1);
var face1 = face + offset;
var face2 /*боже упаси*/ = face + -offset;
// Connecting these faces
var lines = face1.Verticies
.Zip(face2.Verticies)
.Select(p => new LineSegment(p.First, p.Second))
.ToArray();
return new Geom(face1, face2, new Geom(new Vector[0], lines));
}
}
}

28
YMath/Geometry/LineSegment.cs Normal file
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@ -0,0 +1,28 @@
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace YMath.Geometry
{
/// <summary>
/// Represents a line segment defined by 2 points
/// </summary>
public struct LineSegment
{
public LineSegment(Vector start, Vector end)
{
Start = start;
End = end;
}
public Vector Start { get; set; }
public Vector End { get; set; }
public override string ToString()
{
return $"{Start} - {End}";
}
}
}

62
YMath/Matrix.cs
View file

@ -137,5 +137,67 @@ namespace YMath
result[i, i] = 1;
return result;
}
/// <summary>
/// Returns an n-dimensional rotation matrix.
/// Rotates the object by <paramref name="angle"/> (in rad) in the plane formed by <paramref name="axis1"/> and <paramref name="axis2"/>.
/// </summary>
/// <param name="nDimensions">Order of the output matrix</param>
/// <param name="axis1">The first axis index starting from 0</param>
/// <param name="axis2">The second axis index starting from 0</param>
/// <param name="angle">The angle in radians</param>
/// <returns>n-dimensional rotation matrix</returns>
public static Matrix Rotation(int nDimensions, int axis1, int axis2, double angle)
{
if (axis1 == axis2)
throw new ArgumentException("axis1 == axis2");
if (axis1 >= nDimensions || axis2 >= nDimensions)
throw new ArgumentOutOfRangeException("axes");
if (axis1 < 0 || axis2 < 0 || nDimensions < 0)
throw new ArgumentOutOfRangeException("Dimension number and axis indexes can't be less then 0");
var res = Matrix.Ident(nDimensions);
res[axis1, axis1] = Math.Cos(angle);
res[axis2, axis2] = Math.Cos(angle);
res[axis1, axis2] = -Math.Sin(angle);
res[axis2, axis1] = Math.Sin(angle);
return res;
}
/// <summary>
/// Creates n-dimensional rotation matrixes, which rotates by a given Euiler angles
/// </summary>
/// <param name="nDimensions">Matrix order</param>
/// <param name="angles">Euiler angles in rad</param>
/// <returns></returns>
public static Matrix Rotation(int nDimensions, double[] angles)
{
int n = Combinatorics.C(nDimensions, 2);
if (angles.Length != n)
throw new ArgumentException($"Expected {n} Euiler angles for {nDimensions}-dimensional space, got {angles.Length} angles");
var result = Matrix.Ident(nDimensions);
// Iterate over axis combinations
int axis1 = 0;
int axis2 = 1;
int iAngle = 0;
while (axis2 < nDimensions)
{
double angle = angles[iAngle];
result *= Matrix.Rotation(nDimensions, axis1, axis2, angle);
iAngle++;
if (axis1 + 1 == axis2)
{
axis2++;
axis1 = 0;
}
else
axis1++;
}
return result;
}
}
}

13
YMath/Projector.cs
View file

@ -4,6 +4,7 @@ using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using YMath.Geometry;
namespace YMath
{
@ -35,5 +36,17 @@ namespace YMath
point = Camera.WorldToImage(point);
return point;
}
/// <summary>
/// Projects the given geometry
/// </summary>
/// <returns>The N-1 dimensional geometry</returns>
public Geom Project(Geom geom)
{
return new Geom(
geom.Verticies.Select(v => Project(v)).ToArray(),
geom.Edges.Select(e => new LineSegment(
Project(e.Start), Project(e.End))).ToArray());
}
}
}