initial commit
commit
8ea81d09ba
|
|
@ -0,0 +1,224 @@
|
||||||
|
# The following command works for downloading when using Git for Windows:
|
||||||
|
# curl -LOf http://gist.githubusercontent.com/kmorcinek/2710267/raw/.gitignore
|
||||||
|
#
|
||||||
|
# Download this file using PowerShell v3 under Windows with the following comand:
|
||||||
|
# Invoke-WebRequest https://gist.githubusercontent.com/kmorcinek/2710267/raw/ -OutFile .gitignore
|
||||||
|
#
|
||||||
|
# or wget:
|
||||||
|
# wget --no-check-certificate http://gist.githubusercontent.com/kmorcinek/2710267/raw/.gitignore
|
||||||
|
|
||||||
|
.vscode
|
||||||
|
|
||||||
|
# User-specific files
|
||||||
|
*.suo
|
||||||
|
*.user
|
||||||
|
*.sln.docstates
|
||||||
|
|
||||||
|
# Build results
|
||||||
|
[Dd]ebug/
|
||||||
|
[Rr]elease/
|
||||||
|
x64/
|
||||||
|
[Bb]in/
|
||||||
|
[Oo]bj/
|
||||||
|
# build folder is nowadays used for build scripts and should not be ignored
|
||||||
|
#build/
|
||||||
|
|
||||||
|
# NuGet Packages
|
||||||
|
*.nupkg
|
||||||
|
# The packages folder can be ignored because of Package Restore
|
||||||
|
**/packages/*
|
||||||
|
# except build/, which is used as an MSBuild target.
|
||||||
|
!**/packages/build/
|
||||||
|
# Uncomment if necessary however generally it will be regenerated when needed
|
||||||
|
#!**/packages/repositories.config
|
||||||
|
|
||||||
|
# MSTest test Results
|
||||||
|
[Tt]est[Rr]esult*/
|
||||||
|
[Bb]uild[Ll]og.*
|
||||||
|
|
||||||
|
*_i.c
|
||||||
|
*_p.c
|
||||||
|
*.ilk
|
||||||
|
*.meta
|
||||||
|
*.obj
|
||||||
|
*.pch
|
||||||
|
*.pdb
|
||||||
|
*.pgc
|
||||||
|
*.pgd
|
||||||
|
*.rsp
|
||||||
|
*.sbr
|
||||||
|
*.tlb
|
||||||
|
*.tli
|
||||||
|
*.tlh
|
||||||
|
*.tmp
|
||||||
|
*.tmp_proj
|
||||||
|
*.log
|
||||||
|
*.vspscc
|
||||||
|
*.vssscc
|
||||||
|
.builds
|
||||||
|
*.pidb
|
||||||
|
*.log
|
||||||
|
*.scc
|
||||||
|
|
||||||
|
# OS generated files #
|
||||||
|
.DS_Store*
|
||||||
|
Icon?
|
||||||
|
|
||||||
|
# Visual C++ cache files
|
||||||
|
ipch/
|
||||||
|
*.aps
|
||||||
|
*.ncb
|
||||||
|
*.opensdf
|
||||||
|
*.sdf
|
||||||
|
*.cachefile
|
||||||
|
|
||||||
|
# Visual Studio profiler
|
||||||
|
*.psess
|
||||||
|
*.vsp
|
||||||
|
*.vspx
|
||||||
|
|
||||||
|
# Guidance Automation Toolkit
|
||||||
|
*.gpState
|
||||||
|
|
||||||
|
# ReSharper is a .NET coding add-in
|
||||||
|
_ReSharper*/
|
||||||
|
*.[Rr]e[Ss]harper
|
||||||
|
|
||||||
|
# TeamCity is a build add-in
|
||||||
|
_TeamCity*
|
||||||
|
|
||||||
|
# DotCover is a Code Coverage Tool
|
||||||
|
*.dotCover
|
||||||
|
|
||||||
|
# NCrunch
|
||||||
|
*.ncrunch*
|
||||||
|
.*crunch*.local.xml
|
||||||
|
|
||||||
|
# Installshield output folder
|
||||||
|
[Ee]xpress/
|
||||||
|
|
||||||
|
# DocProject is a documentation generator add-in
|
||||||
|
DocProject/buildhelp/
|
||||||
|
DocProject/Help/*.HxT
|
||||||
|
DocProject/Help/*.HxC
|
||||||
|
DocProject/Help/*.hhc
|
||||||
|
DocProject/Help/*.hhk
|
||||||
|
DocProject/Help/*.hhp
|
||||||
|
DocProject/Help/Html2
|
||||||
|
DocProject/Help/html
|
||||||
|
|
||||||
|
# Click-Once directory
|
||||||
|
publish/
|
||||||
|
|
||||||
|
# Publish Web Output
|
||||||
|
*.Publish.xml
|
||||||
|
|
||||||
|
# Windows Azure Build Output
|
||||||
|
csx
|
||||||
|
*.build.csdef
|
||||||
|
|
||||||
|
# Windows Store app package directory
|
||||||
|
AppPackages/
|
||||||
|
|
||||||
|
# Others
|
||||||
|
*.Cache
|
||||||
|
ClientBin/
|
||||||
|
[Ss]tyle[Cc]op.*
|
||||||
|
~$*
|
||||||
|
*~
|
||||||
|
*.dbmdl
|
||||||
|
*.[Pp]ublish.xml
|
||||||
|
*.pfx
|
||||||
|
*.publishsettings
|
||||||
|
modulesbin/
|
||||||
|
tempbin/
|
||||||
|
|
||||||
|
# EPiServer Site file (VPP)
|
||||||
|
AppData/
|
||||||
|
|
||||||
|
# RIA/Silverlight projects
|
||||||
|
Generated_Code/
|
||||||
|
|
||||||
|
# Backup & report files from converting an old project file to a newer
|
||||||
|
# Visual Studio version. Backup files are not needed, because we have git ;-)
|
||||||
|
_UpgradeReport_Files/
|
||||||
|
Backup*/
|
||||||
|
UpgradeLog*.XML
|
||||||
|
UpgradeLog*.htm
|
||||||
|
|
||||||
|
# vim
|
||||||
|
*.txt~
|
||||||
|
*.swp
|
||||||
|
*.swo
|
||||||
|
|
||||||
|
# Temp files when opening LibreOffice on ubuntu
|
||||||
|
.~lock.*
|
||||||
|
|
||||||
|
# svn
|
||||||
|
.svn
|
||||||
|
|
||||||
|
# CVS - Source Control
|
||||||
|
**/CVS/
|
||||||
|
|
||||||
|
# Remainings from resolving conflicts in Source Control
|
||||||
|
*.orig
|
||||||
|
|
||||||
|
# SQL Server files
|
||||||
|
**/App_Data/*.mdf
|
||||||
|
**/App_Data/*.ldf
|
||||||
|
**/App_Data/*.sdf
|
||||||
|
|
||||||
|
|
||||||
|
#LightSwitch generated files
|
||||||
|
GeneratedArtifacts/
|
||||||
|
_Pvt_Extensions/
|
||||||
|
ModelManifest.xml
|
||||||
|
|
||||||
|
# =========================
|
||||||
|
# Windows detritus
|
||||||
|
# =========================
|
||||||
|
|
||||||
|
# Windows image file caches
|
||||||
|
Thumbs.db
|
||||||
|
ehthumbs.db
|
||||||
|
|
||||||
|
# Folder config file
|
||||||
|
Desktop.ini
|
||||||
|
|
||||||
|
# Recycle Bin used on file shares
|
||||||
|
$RECYCLE.BIN/
|
||||||
|
|
||||||
|
# Mac desktop service store files
|
||||||
|
.DS_Store
|
||||||
|
|
||||||
|
# SASS Compiler cache
|
||||||
|
.sass-cache
|
||||||
|
|
||||||
|
# Visual Studio 2014 CTP
|
||||||
|
**/*.sln.ide
|
||||||
|
|
||||||
|
# Visual Studio temp something
|
||||||
|
.vs/
|
||||||
|
|
||||||
|
# dotnet stuff
|
||||||
|
project.lock.json
|
||||||
|
|
||||||
|
# VS 2015+
|
||||||
|
*.vc.vc.opendb
|
||||||
|
*.vc.db
|
||||||
|
|
||||||
|
# Rider
|
||||||
|
.idea/
|
||||||
|
|
||||||
|
# Output folder used by Webpack or other FE stuff
|
||||||
|
**/node_modules/*
|
||||||
|
**/wwwroot/*
|
||||||
|
|
||||||
|
# SpecFlow specific
|
||||||
|
*.feature.cs
|
||||||
|
*.feature.xlsx.*
|
||||||
|
*.Specs_*.html
|
||||||
|
|
||||||
|
#####
|
||||||
|
# End of core ignore list, below put you custom 'per project' settings (patterns or path)
|
||||||
|
#####
|
||||||
|
|
@ -0,0 +1,41 @@
|
||||||
|
using Microsoft.Xna.Framework;
|
||||||
|
|
||||||
|
namespace MoonTools.Core.Curve
|
||||||
|
{
|
||||||
|
public static class CubicBezier3D
|
||||||
|
{
|
||||||
|
public static Vector3 Point(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
|
||||||
|
{
|
||||||
|
if (t < 0 || t > 1) { throw new System.ArgumentException($"{t} is an invalid value. Must be between 0 and 1"); }
|
||||||
|
|
||||||
|
return (1f - t) * (1f - t) * (1f - t) * p0 +
|
||||||
|
3f * (1f - t) * (1f - t) * t * p1 +
|
||||||
|
3f * (1f - t) * t * t * p2 +
|
||||||
|
t * t * t * p3;
|
||||||
|
}
|
||||||
|
|
||||||
|
public static Vector3 Point(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t, float minT, float maxT)
|
||||||
|
{
|
||||||
|
return Point(p0, p1, p2, p3, NormalizedT(t, minT, maxT));
|
||||||
|
}
|
||||||
|
|
||||||
|
public static Vector3 FirstDerivative(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
|
||||||
|
{
|
||||||
|
if (t < 0 || t > 1) { throw new System.ArgumentException($"{t} is an invalid value. Must be between 0 and 1"); }
|
||||||
|
|
||||||
|
return 3f * (1f - t) * (1f - t) * (p1 - p0) +
|
||||||
|
6f * (1f - t) * t * (p2 - p1) +
|
||||||
|
3f * t * t * (p3 - p2);
|
||||||
|
}
|
||||||
|
|
||||||
|
public static Vector3 FirstDerivative(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t, float minT, float maxT)
|
||||||
|
{
|
||||||
|
return FirstDerivative(p0, p1, p2, p3, NormalizedT(t, minT, maxT));
|
||||||
|
}
|
||||||
|
|
||||||
|
private static float NormalizedT(float t, float minT, float maxT)
|
||||||
|
{
|
||||||
|
return ((t - minT)) / (maxT - minT);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,11 @@
|
||||||
|
<Project Sdk="Microsoft.NET.Sdk">
|
||||||
|
|
||||||
|
<PropertyGroup>
|
||||||
|
<TargetFramework>netstandard2.0</TargetFramework>
|
||||||
|
</PropertyGroup>
|
||||||
|
|
||||||
|
<ItemGroup>
|
||||||
|
<PackageReference Include="MonoGame.Framework.DesktopGL.Core" Version="3.7.0.7" />
|
||||||
|
</ItemGroup>
|
||||||
|
|
||||||
|
</Project>
|
||||||
|
|
@ -0,0 +1,48 @@
|
||||||
|
|
||||||
|
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||||
|
# Visual Studio 15
|
||||||
|
VisualStudioVersion = 15.0.26124.0
|
||||||
|
MinimumVisualStudioVersion = 15.0.26124.0
|
||||||
|
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Curve", "Curve\Curve.csproj", "{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}"
|
||||||
|
EndProject
|
||||||
|
Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Test", "Test\Test.csproj", "{47899FDF-4550-4966-B1A5-547322E773C0}"
|
||||||
|
EndProject
|
||||||
|
Global
|
||||||
|
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||||
|
Debug|Any CPU = Debug|Any CPU
|
||||||
|
Debug|x64 = Debug|x64
|
||||||
|
Debug|x86 = Debug|x86
|
||||||
|
Release|Any CPU = Release|Any CPU
|
||||||
|
Release|x64 = Release|x64
|
||||||
|
Release|x86 = Release|x86
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(SolutionProperties) = preSolution
|
||||||
|
HideSolutionNode = FALSE
|
||||||
|
EndGlobalSection
|
||||||
|
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|x64.ActiveCfg = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|x64.Build.0 = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|x86.ActiveCfg = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Debug|x86.Build.0 = Debug|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|x64.ActiveCfg = Release|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|x64.Build.0 = Release|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|x86.ActiveCfg = Release|Any CPU
|
||||||
|
{8515F0FE-EB22-4606-8FBE-6B40D24A7DF7}.Release|x86.Build.0 = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|Any CPU.Build.0 = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|x64.ActiveCfg = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|x64.Build.0 = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|x86.ActiveCfg = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Debug|x86.Build.0 = Debug|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|Any CPU.ActiveCfg = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|Any CPU.Build.0 = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|x64.ActiveCfg = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|x64.Build.0 = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|x86.ActiveCfg = Release|Any CPU
|
||||||
|
{47899FDF-4550-4966-B1A5-547322E773C0}.Release|x86.Build.0 = Release|Any CPU
|
||||||
|
EndGlobalSection
|
||||||
|
EndGlobal
|
||||||
|
|
@ -0,0 +1,3 @@
|
||||||
|
- 2D and 3D
|
||||||
|
- quadratic and cubic
|
||||||
|
- easing functions for time
|
||||||
|
|
@ -0,0 +1,77 @@
|
||||||
|
using NUnit.Framework;
|
||||||
|
using FluentAssertions;
|
||||||
|
|
||||||
|
using MoonTools.Core.Curve;
|
||||||
|
using Microsoft.Xna.Framework;
|
||||||
|
|
||||||
|
namespace Tests.TestExtensions
|
||||||
|
{
|
||||||
|
static class TestExtensions
|
||||||
|
{
|
||||||
|
public static bool ApproximatelyEquals(this Vector3 v1, Vector3 v2)
|
||||||
|
{
|
||||||
|
return (v1 - v2).Length() <= 0.001f;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
namespace Tests
|
||||||
|
{
|
||||||
|
using TestExtensions;
|
||||||
|
|
||||||
|
public class Bezier3DTests
|
||||||
|
{
|
||||||
|
[Test]
|
||||||
|
public void Point()
|
||||||
|
{
|
||||||
|
var p0 = new Vector3(-4, -4, -3);
|
||||||
|
var p1 = new Vector3(-2, 4, 0);
|
||||||
|
var p2 = new Vector3(2, -4, 3);
|
||||||
|
var p3 = new Vector3(4, 4, 0);
|
||||||
|
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 0.5f).Should().BeEquivalentTo(new Vector3(0, 0, 0.75f));
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 0.5f).Should().BeEquivalentTo(new Vector3(0, 0, 0.75f));
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 0.25f).Should().BeEquivalentTo(new Vector3(-2.1875f, -0.5f, -0.84375f));
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 0.75f).Should().BeEquivalentTo(new Vector3(2.1875f, 0.5f, 1.21875f));
|
||||||
|
}
|
||||||
|
|
||||||
|
[Test]
|
||||||
|
public void PointNormalized()
|
||||||
|
{
|
||||||
|
var p0 = new Vector3(-4, -4, -3);
|
||||||
|
var p1 = new Vector3(-2, 4, 0);
|
||||||
|
var p2 = new Vector3(2, -4, 3);
|
||||||
|
var p3 = new Vector3(4, 4, 0);
|
||||||
|
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 3, 2, 4).Should().BeEquivalentTo(new Vector3(0, 0, 0.75f));
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 2, 1, 5).Should().BeEquivalentTo(new Vector3(-2.1875f, -0.5f, -0.84375f));
|
||||||
|
CubicBezier3D.Point(p0, p1, p2, p3, 11, 2, 14).Should().BeEquivalentTo(new Vector3(2.1875f, 0.5f, 1.21875f));
|
||||||
|
}
|
||||||
|
|
||||||
|
[Test]
|
||||||
|
public void FirstDerivative()
|
||||||
|
{
|
||||||
|
var p0 = new Vector3(-4, -4, -3);
|
||||||
|
var p1 = new Vector3(-2, 4, 0);
|
||||||
|
var p2 = new Vector3(2, -4, 3);
|
||||||
|
var p3 = new Vector3(4, 4, 0);
|
||||||
|
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 0.5f).Should().BeEquivalentTo(new Vector3(9, 0, 4.5f));
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 0.25f).Should().BeEquivalentTo(new Vector3(8.25f, 6f, 7.875f));
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 0.75f).Should().BeEquivalentTo(new Vector3(8.25f, 6f, -1.125f));
|
||||||
|
}
|
||||||
|
|
||||||
|
[Test]
|
||||||
|
public void FirstDerivativeNormalized()
|
||||||
|
{
|
||||||
|
var p0 = new Vector3(-4, -4, -3);
|
||||||
|
var p1 = new Vector3(-2, 4, 0);
|
||||||
|
var p2 = new Vector3(2, -4, 3);
|
||||||
|
var p3 = new Vector3(4, 4, 0);
|
||||||
|
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 3, 2, 4).Should().BeEquivalentTo(new Vector3(9, 0, 4.5f));
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 2, 1, 5).Should().BeEquivalentTo(new Vector3(8.25f, 6f, 7.875f));
|
||||||
|
CubicBezier3D.FirstDerivative(p0, p1, p2, p3, 11, 2, 14).Should().BeEquivalentTo(new Vector3(8.25f, 6f, -1.125f));
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
@ -0,0 +1,16 @@
|
||||||
|
<Project Sdk="Microsoft.NET.Sdk">
|
||||||
|
<PropertyGroup>
|
||||||
|
<TargetFramework>netcoreapp3.0</TargetFramework>
|
||||||
|
<IsPackable>false</IsPackable>
|
||||||
|
</PropertyGroup>
|
||||||
|
<ItemGroup>
|
||||||
|
<PackageReference Include="MonoGame.Framework.DesktopGL.Core" Version="3.7.0.7"/>
|
||||||
|
<PackageReference Include="nunit" Version="3.12.0"/>
|
||||||
|
<PackageReference Include="NUnit3TestAdapter" Version="3.13.0"/>
|
||||||
|
<PackageReference Include="Microsoft.NET.Test.Sdk" Version="16.2.0"/>
|
||||||
|
<PackageReference Include="FluentAssertions" Version="5.9.0"/>
|
||||||
|
</ItemGroup>
|
||||||
|
<ItemGroup>
|
||||||
|
<ProjectReference Include="..\Curve\Curve.csproj"/>
|
||||||
|
</ItemGroup>
|
||||||
|
</Project>
|
||||||
Loading…
Reference in New Issue