Compare commits
No commits in common. "master" and "fix/tests-failing-on-linux" have entirely different histories.
master
...
fix/tests-
56
.drone.yml
56
.drone.yml
@ -1,56 +0,0 @@
|
|||||||
kind: pipeline
|
|
||||||
type: kubernetes
|
|
||||||
name: cicd-pipeline
|
|
||||||
|
|
||||||
steps:
|
|
||||||
- name: Build docs
|
|
||||||
image: ubuntu
|
|
||||||
commands:
|
|
||||||
- apt-get update
|
|
||||||
- >-
|
|
||||||
apt-get
|
|
||||||
install
|
|
||||||
make
|
|
||||||
doxygen
|
|
||||||
graphviz
|
|
||||||
-y
|
|
||||||
- cd "Eule/doxygen"
|
|
||||||
- make
|
|
||||||
|
|
||||||
- name: Deploy docs to production
|
|
||||||
image: ubuntu
|
|
||||||
environment:
|
|
||||||
SSH_PRIV:
|
|
||||||
from_secret: ssh-priv
|
|
||||||
SSH_PUB:
|
|
||||||
from_secret: ssh-pub
|
|
||||||
KNOWN_HOSTS:
|
|
||||||
from_secret: known-hosts # this is just $(ssh-keyscan -p 2222 leonetienne.de)
|
|
||||||
commands:
|
|
||||||
- apt-get update
|
|
||||||
- >-
|
|
||||||
apt-get
|
|
||||||
install
|
|
||||||
openssh-client
|
|
||||||
rsync
|
|
||||||
-y
|
|
||||||
- eval "$(ssh-agent -s)"
|
|
||||||
- mkdir -p ~/.ssh
|
|
||||||
- echo "$SSH_PRIV" > ~/.ssh/id_ed25519
|
|
||||||
- echo "$SSH_PUB" > ~/.ssh/id_ed25519.pub
|
|
||||||
- echo "$KNOWN_HOSTS" > ~/.ssh/known_hosts
|
|
||||||
- chmod 600 ~/.ssh/id_ed25519
|
|
||||||
- chmod 644 ~/.ssh/id_ed25519.pub
|
|
||||||
- chmod 644 ~/.ssh/known_hosts
|
|
||||||
- ssh-add
|
|
||||||
- cd "Eule/doxygen"
|
|
||||||
- >-
|
|
||||||
rsync
|
|
||||||
-avz
|
|
||||||
--recursive
|
|
||||||
--delete
|
|
||||||
--delete-excluded
|
|
||||||
-e
|
|
||||||
"ssh -o IdentitiesOnly=yes -p 2222"
|
|
||||||
./build/
|
|
||||||
doxygen-eule@leonetienne.de:app
|
|
357
.gitignore
vendored
357
.gitignore
vendored
@ -1,2 +1,357 @@
|
|||||||
build/
|
## Ignore Visual Studio temporary files, build results, and
|
||||||
|
## files generated by popular Visual Studio add-ons.
|
||||||
|
##
|
||||||
|
## Get latest from https://github.com/github/gitignore/blob/master/VisualStudio.gitignore
|
||||||
|
|
||||||
|
#infilename-tag
|
||||||
|
*_gitignore_*
|
||||||
|
|
||||||
|
# User-specific files
|
||||||
|
*.rsuser
|
||||||
|
*.suo
|
||||||
|
*.user
|
||||||
|
*.userosscache
|
||||||
|
*.sln.docstates
|
||||||
|
|
||||||
|
# User-specific files (MonoDevelop/Xamarin Studio)
|
||||||
|
*.userprefs
|
||||||
|
|
||||||
|
# Mono auto generated files
|
||||||
|
mono_crash.*
|
||||||
|
|
||||||
|
# Visual Paradigm Shitfiles
|
||||||
|
*tornado.vpp.bak*
|
||||||
|
*tornado.*lck*
|
||||||
|
|
||||||
|
# Build results
|
||||||
|
[Dd]ebug/
|
||||||
|
[Dd]ebugPublic/
|
||||||
|
[Rr]elease/
|
||||||
|
[Rr]eleases/
|
||||||
|
x64/
|
||||||
|
x86/
|
||||||
|
[Aa][Rr][Mm]/
|
||||||
|
[Aa][Rr][Mm]64/
|
||||||
|
bld/
|
||||||
|
[Bb]in/
|
||||||
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[Oo]bj/
|
||||||
|
[Ll]og/
|
||||||
|
[Ll]ogs/
|
||||||
|
|
||||||
|
# Visual Studio 2015/2017 cache/options directory
|
||||||
|
.vs/
|
||||||
|
# Uncomment if you have tasks that create the project's static files in wwwroot
|
||||||
|
#wwwroot/
|
||||||
|
|
||||||
|
# Visual Studio 2017 auto generated files
|
||||||
|
Generated\ Files/
|
||||||
|
|
||||||
|
# MSTest test Results
|
||||||
|
[Tt]est[Rr]esult*/
|
||||||
|
[Bb]uild[Ll]og.*
|
||||||
|
|
||||||
|
# NUnit
|
||||||
|
*.VisualState.xml
|
||||||
|
TestResult.xml
|
||||||
|
nunit-*.xml
|
||||||
|
|
||||||
|
# Build Results of an ATL Project
|
||||||
|
[Dd]ebugPS/
|
||||||
|
[Rr]eleasePS/
|
||||||
|
dlldata.c
|
||||||
|
|
||||||
|
# Benchmark Results
|
||||||
|
BenchmarkDotNet.Artifacts/
|
||||||
|
|
||||||
|
# .NET Core
|
||||||
|
project.lock.json
|
||||||
|
project.fragment.lock.json
|
||||||
|
artifacts/
|
||||||
|
|
||||||
|
# StyleCop
|
||||||
|
StyleCopReport.xml
|
||||||
|
|
||||||
|
# Files built by Visual Studio
|
||||||
|
*_i.c
|
||||||
|
*_p.c
|
||||||
|
*_h.h
|
||||||
|
*.ilk
|
||||||
|
*.meta
|
||||||
|
*.obj
|
||||||
|
*.iobj
|
||||||
|
*.pch
|
||||||
|
*.pdb
|
||||||
|
*.ipdb
|
||||||
|
*.pgc
|
||||||
|
*.pgd
|
||||||
|
*.rsp
|
||||||
|
*.sbr
|
||||||
|
*.tlb
|
||||||
|
*.tli
|
||||||
|
*.tlh
|
||||||
|
*.tmp
|
||||||
|
*.tmp_proj
|
||||||
|
*_wpftmp.csproj
|
||||||
|
*.log
|
||||||
|
*.vspscc
|
||||||
|
*.vssscc
|
||||||
|
.builds
|
||||||
|
*.pidb
|
||||||
|
*.svclog
|
||||||
|
*.scc
|
||||||
|
|
||||||
|
# Chutzpah Test files
|
||||||
|
_Chutzpah*
|
||||||
|
|
||||||
|
# Visual C++ cache files
|
||||||
|
ipch/
|
||||||
|
*.aps
|
||||||
|
*.ncb
|
||||||
|
*.opendb
|
||||||
|
*.opensdf
|
||||||
|
*.sdf
|
||||||
|
*.cachefile
|
||||||
|
*.VC.db
|
||||||
|
*.VC.VC.opendb
|
||||||
|
|
||||||
|
# Visual Studio profiler
|
||||||
|
*.psess
|
||||||
|
*.vsp
|
||||||
|
*.vspx
|
||||||
|
*.sap
|
||||||
|
|
||||||
|
# Visual Studio Trace Files
|
||||||
|
*.e2e
|
||||||
|
|
||||||
|
# TFS 2012 Local Workspace
|
||||||
|
$tf/
|
||||||
|
|
||||||
|
# Guidance Automation Toolkit
|
||||||
|
*.gpState
|
||||||
|
|
||||||
|
# ReSharper is a .NET coding add-in
|
||||||
|
_ReSharper*/
|
||||||
|
*.[Rr]e[Ss]harper
|
||||||
|
*.DotSettings.user
|
||||||
|
|
||||||
|
# TeamCity is a build add-in
|
||||||
|
_TeamCity*
|
||||||
|
|
||||||
|
# DotCover is a Code Coverage Tool
|
||||||
|
*.dotCover
|
||||||
|
|
||||||
|
# AxoCover is a Code Coverage Tool
|
||||||
|
.axoCover/*
|
||||||
|
!.axoCover/settings.json
|
||||||
|
|
||||||
|
# Visual Studio code coverage results
|
||||||
|
*.coverage
|
||||||
|
*.coveragexml
|
||||||
|
|
||||||
|
# NCrunch
|
||||||
|
_NCrunch_*
|
||||||
|
.*crunch*.local.xml
|
||||||
|
nCrunchTemp_*
|
||||||
|
|
||||||
|
# MightyMoose
|
||||||
|
*.mm.*
|
||||||
|
AutoTest.Net/
|
||||||
|
|
||||||
|
# Web workbench (sass)
|
||||||
|
.sass-cache/
|
||||||
|
|
||||||
|
# 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
|
||||||
|
*.[Pp]ublish.xml
|
||||||
|
*.azurePubxml
|
||||||
|
# Note: Comment the next line if you want to checkin your web deploy settings,
|
||||||
|
# but database connection strings (with potential passwords) will be unencrypted
|
||||||
|
*.pubxml
|
||||||
|
*.publishproj
|
||||||
|
|
||||||
|
# Microsoft Azure Web App publish settings. Comment the next line if you want to
|
||||||
|
# checkin your Azure Web App publish settings, but sensitive information contained
|
||||||
|
# in these scripts will be unencrypted
|
||||||
|
PublishScripts/
|
||||||
|
|
||||||
|
# NuGet Packages
|
||||||
|
*.nupkg
|
||||||
|
# NuGet Symbol Packages
|
||||||
|
*.snupkg
|
||||||
|
# The packages folder can be ignored because of Package Restore
|
||||||
|
**/[Pp]ackages/*
|
||||||
|
# except build/, which is used as an MSBuild target.
|
||||||
|
!**/[Pp]ackages/build/
|
||||||
|
# Uncomment if necessary however generally it will be regenerated when needed
|
||||||
|
#!**/[Pp]ackages/repositories.config
|
||||||
|
# NuGet v3's project.json files produces more ignorable files
|
||||||
|
*.nuget.props
|
||||||
|
*.nuget.targets
|
||||||
|
|
||||||
|
# Microsoft Azure Build Output
|
||||||
|
csx/
|
||||||
|
*.build.csdef
|
||||||
|
|
||||||
|
# Microsoft Azure Emulator
|
||||||
|
ecf/
|
||||||
|
rcf/
|
||||||
|
|
||||||
|
# Windows Store app package directories and files
|
||||||
|
AppPackages/
|
||||||
|
BundleArtifacts/
|
||||||
|
Package.StoreAssociation.xml
|
||||||
|
_pkginfo.txt
|
||||||
|
*.appx
|
||||||
|
*.appxbundle
|
||||||
|
*.appxupload
|
||||||
|
|
||||||
|
# Visual Studio cache files
|
||||||
|
# files ending in .cache can be ignored
|
||||||
|
*.[Cc]ache
|
||||||
|
# but keep track of directories ending in .cache
|
||||||
|
!?*.[Cc]ache/
|
||||||
|
|
||||||
|
# Others
|
||||||
|
ClientBin/
|
||||||
|
~$*
|
||||||
|
*~
|
||||||
|
*.dbmdl
|
||||||
|
*.dbproj.schemaview
|
||||||
|
*.jfm
|
||||||
|
*.pfx
|
||||||
|
*.publishsettings
|
||||||
|
orleans.codegen.cs
|
||||||
|
|
||||||
|
# Including strong name files can present a security risk
|
||||||
|
# (https://github.com/github/gitignore/pull/2483#issue-259490424)
|
||||||
|
#*.snk
|
||||||
|
|
||||||
|
# Since there are multiple workflows, uncomment next line to ignore bower_components
|
||||||
|
# (https://github.com/github/gitignore/pull/1529#issuecomment-104372622)
|
||||||
|
#bower_components/
|
||||||
|
|
||||||
|
# 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
|
||||||
|
ServiceFabricBackup/
|
||||||
|
*.rptproj.bak
|
||||||
|
|
||||||
|
# SQL Server files
|
||||||
|
*.mdf
|
||||||
|
*.ldf
|
||||||
|
*.ndf
|
||||||
|
|
||||||
|
# Business Intelligence projects
|
||||||
|
*.rdl.data
|
||||||
|
*.bim.layout
|
||||||
|
*.bim_*.settings
|
||||||
|
*.rptproj.rsuser
|
||||||
|
*- [Bb]ackup.rdl
|
||||||
|
*- [Bb]ackup ([0-9]).rdl
|
||||||
|
*- [Bb]ackup ([0-9][0-9]).rdl
|
||||||
|
|
||||||
|
# Microsoft Fakes
|
||||||
|
FakesAssemblies/
|
||||||
|
|
||||||
|
# GhostDoc plugin setting file
|
||||||
|
*.GhostDoc.xml
|
||||||
|
|
||||||
|
# Node.js Tools for Visual Studio
|
||||||
|
.ntvs_analysis.dat
|
||||||
|
node_modules/
|
||||||
|
|
||||||
|
# Visual Studio 6 build log
|
||||||
|
*.plg
|
||||||
|
|
||||||
|
# Visual Studio 6 workspace options file
|
||||||
|
*.opt
|
||||||
|
|
||||||
|
# Visual Studio 6 auto-generated workspace file (contains which files were open etc.)
|
||||||
|
*.vbw
|
||||||
|
|
||||||
|
# Visual Studio LightSwitch build output
|
||||||
|
**/*.HTMLClient/GeneratedArtifacts
|
||||||
|
**/*.DesktopClient/GeneratedArtifacts
|
||||||
|
**/*.DesktopClient/ModelManifest.xml
|
||||||
|
**/*.Server/GeneratedArtifacts
|
||||||
|
**/*.Server/ModelManifest.xml
|
||||||
|
_Pvt_Extensions
|
||||||
|
|
||||||
|
# Paket dependency manager
|
||||||
|
.paket/paket.exe
|
||||||
|
paket-files/
|
||||||
|
|
||||||
|
# FAKE - F# Make
|
||||||
|
.fake/
|
||||||
|
|
||||||
|
# CodeRush personal settings
|
||||||
|
.cr/personal
|
||||||
|
|
||||||
|
# Python Tools for Visual Studio (PTVS)
|
||||||
|
__pycache__/
|
||||||
|
*.pyc
|
||||||
|
|
||||||
|
# Cake - Uncomment if you are using it
|
||||||
|
# tools/**
|
||||||
|
# !tools/packages.config
|
||||||
|
|
||||||
|
# Tabs Studio
|
||||||
|
*.tss
|
||||||
|
|
||||||
|
# Telerik's JustMock configuration file
|
||||||
|
*.jmconfig
|
||||||
|
|
||||||
|
# BizTalk build output
|
||||||
|
*.btp.cs
|
||||||
|
*.btm.cs
|
||||||
|
*.odx.cs
|
||||||
|
*.xsd.cs
|
||||||
|
|
||||||
|
# OpenCover UI analysis results
|
||||||
|
OpenCover/
|
||||||
|
|
||||||
|
# Azure Stream Analytics local run output
|
||||||
|
ASALocalRun/
|
||||||
|
|
||||||
|
# MSBuild Binary and Structured Log
|
||||||
|
*.binlog
|
||||||
|
|
||||||
|
# NVidia Nsight GPU debugger configuration file
|
||||||
|
*.nvuser
|
||||||
|
|
||||||
|
# MFractors (Xamarin productivity tool) working folder
|
||||||
|
.mfractor/
|
||||||
|
|
||||||
|
# Local History for Visual Studio
|
||||||
|
.localhistory/
|
||||||
|
|
||||||
|
# BeatPulse healthcheck temp database
|
||||||
|
healthchecksdb
|
||||||
|
|
||||||
|
# Backup folder for Package Reference Convert tool in Visual Studio 2017
|
||||||
|
MigrationBackup/
|
||||||
|
|
||||||
|
# Ionide (cross platform F# VS Code tools) working folder
|
||||||
|
.ionide/
|
||||||
|
@ -829,7 +829,7 @@ WARN_LOGFILE =
|
|||||||
# spaces. See also FILE_PATTERNS and EXTENSION_MAPPING
|
# spaces. See also FILE_PATTERNS and EXTENSION_MAPPING
|
||||||
# Note: If this tag is empty the current directory is searched.
|
# Note: If this tag is empty the current directory is searched.
|
||||||
|
|
||||||
INPUT = "../src/" "../include/" "index.md"
|
INPUT = "../Eule/" "index.md"
|
||||||
|
|
||||||
# This tag can be used to specify the character encoding of the source files
|
# This tag can be used to specify the character encoding of the source files
|
||||||
# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
|
# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
|
9
Doxygen/doxyrun.sh
Normal file
9
Doxygen/doxyrun.sh
Normal file
@ -0,0 +1,9 @@
|
|||||||
|
# Copy repository readme here to be used as a cover page
|
||||||
|
tail ../readme.md -n +2 > index.md
|
||||||
|
|
||||||
|
# Run doxygen
|
||||||
|
doxygen doxyfig
|
||||||
|
|
||||||
|
# Cleanup index.md
|
||||||
|
rm -f index.md
|
||||||
|
|
@ -1,24 +1,18 @@
|
|||||||
cmake_minimum_required(VERSION 3.16)
|
cmake_minimum_required(VERSION 3.16)
|
||||||
project(Eule)
|
project(Eule)
|
||||||
|
|
||||||
## Library
|
|
||||||
set(CMAKE_CXX_STANDARD 17)
|
set(CMAKE_CXX_STANDARD 17)
|
||||||
|
|
||||||
add_compile_definitions(_EULE_NO_INTRINSICS_)
|
add_compile_definitions(_EULE_NO_INTRINSICS_)
|
||||||
|
|
||||||
FILE(GLOB main_src src/*.cpp)
|
|
||||||
add_library(Eule
|
add_library(Eule
|
||||||
${main_src}
|
Collider.cpp
|
||||||
|
Math.cpp
|
||||||
|
Matrix4x4.cpp
|
||||||
|
Quaternion.cpp
|
||||||
|
Random.cpp
|
||||||
|
TrapazoidalPrismCollider.cpp
|
||||||
|
Vector2.cpp
|
||||||
|
Vector3.cpp
|
||||||
|
Vector4.cpp
|
||||||
)
|
)
|
||||||
|
|
||||||
target_include_directories(Eule PRIVATE include)
|
|
||||||
|
|
||||||
## Tests
|
|
||||||
FILE(GLOB test_src test/*.cpp)
|
|
||||||
add_executable(Eule_tests
|
|
||||||
test/Catch2.h
|
|
||||||
${test_src}
|
|
||||||
)
|
|
||||||
target_link_libraries(Eule_tests Eule)
|
|
||||||
|
|
||||||
target_include_directories(Eule_tests PRIVATE include)
|
|
||||||
|
1
Eule/Collider.cpp
Normal file
1
Eule/Collider.cpp
Normal file
@ -0,0 +1 @@
|
|||||||
|
#include "Collider.h"
|
@ -1,7 +1,7 @@
|
|||||||
#pragma once
|
#pragma once
|
||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** Abstract class of a collider domain.
|
/** Abstract class of a collider domain.
|
||||||
* Specializations describe a shape in 3d space, and provide implementations of the methods below,
|
* Specializations describe a shape in 3d space, and provide implementations of the methods below,
|
15
Eule/Constants.h
Normal file
15
Eule/Constants.h
Normal file
@ -0,0 +1,15 @@
|
|||||||
|
#pragma once
|
||||||
|
|
||||||
|
// Pretty sure the compiler will optimize these calculations out...
|
||||||
|
|
||||||
|
//! Pi up to 50 decimal places
|
||||||
|
static constexpr double PI = 3.14159265358979323846264338327950288419716939937510;
|
||||||
|
|
||||||
|
//! Pi divided by two
|
||||||
|
static constexpr double HALF_PI = 1.57079632679489661923132169163975144209858469968755;
|
||||||
|
|
||||||
|
//! Factor to convert degrees to radians
|
||||||
|
static constexpr double Deg2Rad = 0.0174532925199432957692369076848861271344287188854172222222222222;
|
||||||
|
|
||||||
|
//! Factor to convert radians to degrees
|
||||||
|
static constexpr double Rad2Deg = 57.295779513082320876798154814105170332405472466564427711013084788;
|
29
Eule/Math.cpp
Normal file
29
Eule/Math.cpp
Normal file
@ -0,0 +1,29 @@
|
|||||||
|
#include "Math.h"
|
||||||
|
#include "Constants.h"
|
||||||
|
#include <array>
|
||||||
|
|
||||||
|
using namespace Eule;
|
||||||
|
|
||||||
|
int Math::Mod(const int numerator, const int denominator)
|
||||||
|
{
|
||||||
|
if (denominator == 0)
|
||||||
|
throw std::logic_error("Division by zero");
|
||||||
|
|
||||||
|
// Quick optimizations:
|
||||||
|
|
||||||
|
// -> 0/n is always 0
|
||||||
|
if (numerator == 0)
|
||||||
|
return 0;
|
||||||
|
|
||||||
|
// -> operator% works for a > 0 && b > 0
|
||||||
|
if (denominator > 0 && numerator > 0)
|
||||||
|
return numerator % denominator;
|
||||||
|
|
||||||
|
// Else: generalized formula
|
||||||
|
return (denominator + (numerator % denominator)) % denominator;
|
||||||
|
}
|
||||||
|
|
||||||
|
double Math::Oscillate(const double a, const double b, const double counter, const double speed)
|
||||||
|
{
|
||||||
|
return (sin(counter * speed * PI - HALF_PI) * 0.5 + 0.5) * (b - a) + a;
|
||||||
|
}
|
@ -2,7 +2,7 @@
|
|||||||
#include <stdexcept>
|
#include <stdexcept>
|
||||||
#include <math.h>
|
#include <math.h>
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** Math utility class containing basic functions.
|
/** Math utility class containing basic functions.
|
||||||
*/
|
*/
|
659
Eule/Matrix4x4.cpp
Normal file
659
Eule/Matrix4x4.cpp
Normal file
@ -0,0 +1,659 @@
|
|||||||
|
#include "Matrix4x4.h"
|
||||||
|
#include "Vector3.h"
|
||||||
|
#include "Math.h"
|
||||||
|
|
||||||
|
//#define _EULE_NO_INTRINSICS_
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
#include <immintrin.h>
|
||||||
|
#endif
|
||||||
|
|
||||||
|
using namespace Eule;
|
||||||
|
|
||||||
|
Matrix4x4::Matrix4x4()
|
||||||
|
{
|
||||||
|
// Create identity matrix
|
||||||
|
for (std::size_t i = 0; i < 4; i++)
|
||||||
|
for (std::size_t j = 0; j < 4; j++)
|
||||||
|
v[i][j] = double(i == j);
|
||||||
|
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4::Matrix4x4(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
v = other.v;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4::Matrix4x4(Matrix4x4&& other) noexcept
|
||||||
|
{
|
||||||
|
v = std::move(other.v);
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator*(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
Matrix4x4 newMatrix;
|
||||||
|
newMatrix.p = 1;
|
||||||
|
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
|
||||||
|
|
||||||
|
/* <= Matrix3x3 multiplication => */
|
||||||
|
|
||||||
|
// Load matrix components
|
||||||
|
__m256d __va1 = _mm256_set_pd(v[0][0], v[0][0], v[0][0], v[1][0]);
|
||||||
|
__m256d __va2 = _mm256_set_pd(v[1][0], v[1][0], v[2][0], v[2][0]);
|
||||||
|
|
||||||
|
__m256d __oa1 = _mm256_set_pd(other[0][0], other[0][1], other[0][2], other[0][0]);
|
||||||
|
__m256d __oa2 = _mm256_set_pd(other[0][1], other[0][2], other[0][0], other[0][1]);
|
||||||
|
|
||||||
|
__m256d __vb1 = _mm256_set_pd(v[0][1], v[0][1], v[0][1], v[1][1]);
|
||||||
|
__m256d __vb2 = _mm256_set_pd(v[1][1], v[1][1], v[2][1], v[2][1]);
|
||||||
|
|
||||||
|
__m256d __ob1 = _mm256_set_pd(other[1][0], other[1][1], other[1][2], other[1][0]);
|
||||||
|
__m256d __ob2 = _mm256_set_pd(other[1][1], other[1][2], other[1][0], other[1][1]);
|
||||||
|
|
||||||
|
__m256d __vc1 = _mm256_set_pd(v[0][2], v[0][2], v[0][2], v[1][2]);
|
||||||
|
__m256d __vc2 = _mm256_set_pd(v[1][2], v[1][2], v[2][2], v[2][2]);
|
||||||
|
|
||||||
|
__m256d __oc1 = _mm256_set_pd(other[2][0], other[2][1], other[2][2], other[2][0]);
|
||||||
|
__m256d __oc2 = _mm256_set_pd(other[2][1], other[2][2], other[2][0], other[2][1]);
|
||||||
|
|
||||||
|
// Initialize sums
|
||||||
|
__m256d __sum1 = _mm256_set1_pd(0);
|
||||||
|
__m256d __sum2 = _mm256_set1_pd(0);
|
||||||
|
|
||||||
|
// Let's multiply-add them together
|
||||||
|
// First, the first block
|
||||||
|
__sum1 = _mm256_fmadd_pd(__va1, __oa1, __sum1);
|
||||||
|
__sum1 = _mm256_fmadd_pd(__vb1, __ob1, __sum1);
|
||||||
|
__sum1 = _mm256_fmadd_pd(__vc1, __oc1, __sum1);
|
||||||
|
|
||||||
|
// Then the second block
|
||||||
|
__sum2 = _mm256_fmadd_pd(__va2, __oa2, __sum2);
|
||||||
|
__sum2 = _mm256_fmadd_pd(__vb2, __ob2, __sum2);
|
||||||
|
__sum2 = _mm256_fmadd_pd(__vc2, __oc2, __sum2);
|
||||||
|
|
||||||
|
// Retrieve results
|
||||||
|
double sum1[4];
|
||||||
|
double sum2[4];
|
||||||
|
|
||||||
|
_mm256_storeu_pd(sum1, __sum1);
|
||||||
|
_mm256_storeu_pd(sum2, __sum2);
|
||||||
|
|
||||||
|
// Apply results
|
||||||
|
// Block 1
|
||||||
|
newMatrix[0][0] = sum1[3];
|
||||||
|
newMatrix[0][1] = sum1[2];
|
||||||
|
newMatrix[0][2] = sum1[1];
|
||||||
|
newMatrix[1][0] = sum1[0];
|
||||||
|
|
||||||
|
// Block 2
|
||||||
|
newMatrix[1][1] = sum2[3];
|
||||||
|
newMatrix[1][2] = sum2[2];
|
||||||
|
newMatrix[2][0] = sum2[1];
|
||||||
|
newMatrix[2][1] = sum2[0];
|
||||||
|
|
||||||
|
// Does not fit in the intrinsic calculation. Might just calculate 'by hand'.
|
||||||
|
newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
|
||||||
|
|
||||||
|
|
||||||
|
/* <= Translation component => */
|
||||||
|
|
||||||
|
// Load translation components into registers
|
||||||
|
__m256d __transSelf = _mm256_set_pd(0, l, h, d);
|
||||||
|
__m256d __transOther = _mm256_set_pd(0, other.l, other.h, other.d);
|
||||||
|
|
||||||
|
// Let's add them
|
||||||
|
__m256d __sum = _mm256_add_pd(__transSelf, __transOther);
|
||||||
|
|
||||||
|
// Retrieve results
|
||||||
|
double sum[4];
|
||||||
|
_mm256_storeu_pd(sum, __sum);
|
||||||
|
|
||||||
|
// Apply them
|
||||||
|
newMatrix.d = sum[0];
|
||||||
|
newMatrix.h = sum[1];
|
||||||
|
newMatrix.l = sum[2];
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
|
||||||
|
// Rotation, Scaling
|
||||||
|
newMatrix[0][0] = (v[0][0] * other[0][0]) + (v[0][1] * other[1][0]) + (v[0][2] * other[2][0]);
|
||||||
|
newMatrix[0][1] = (v[0][0] * other[0][1]) + (v[0][1] * other[1][1]) + (v[0][2] * other[2][1]);
|
||||||
|
newMatrix[0][2] = (v[0][0] * other[0][2]) + (v[0][1] * other[1][2]) + (v[0][2] * other[2][2]);
|
||||||
|
|
||||||
|
newMatrix[1][0] = (v[1][0] * other[0][0]) + (v[1][1] * other[1][0]) + (v[1][2] * other[2][0]);
|
||||||
|
newMatrix[1][1] = (v[1][0] * other[0][1]) + (v[1][1] * other[1][1]) + (v[1][2] * other[2][1]);
|
||||||
|
newMatrix[1][2] = (v[1][0] * other[0][2]) + (v[1][1] * other[1][2]) + (v[1][2] * other[2][2]);
|
||||||
|
|
||||||
|
newMatrix[2][0] = (v[2][0] * other[0][0]) + (v[2][1] * other[1][0]) + (v[2][2] * other[2][0]);
|
||||||
|
newMatrix[2][1] = (v[2][0] * other[0][1]) + (v[2][1] * other[1][1]) + (v[2][2] * other[2][1]);
|
||||||
|
newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
|
||||||
|
|
||||||
|
|
||||||
|
// Translation
|
||||||
|
newMatrix[0][3] = v[0][3] + other[0][3];
|
||||||
|
newMatrix[1][3] = v[1][3] + other[1][3];
|
||||||
|
newMatrix[2][3] = v[2][3] + other[2][3];
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return newMatrix;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator*=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
*this = *this * other;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator/(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
return *this * other.Inverse3x3();
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator/=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
*this = *this * other.Inverse3x3();
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator*(const double scalar) const
|
||||||
|
{
|
||||||
|
Matrix4x4 m;
|
||||||
|
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
|
||||||
|
// Load matrix rows
|
||||||
|
__m256d __row0 = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
||||||
|
__m256d __row1 = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
||||||
|
__m256d __row2 = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
||||||
|
__m256d __row3 = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
||||||
|
|
||||||
|
// Load scalar
|
||||||
|
__m256d __scalar = _mm256_set1_pd(scalar);
|
||||||
|
|
||||||
|
// Scale values
|
||||||
|
__m256d __sr0 = _mm256_mul_pd(__row0, __scalar);
|
||||||
|
__m256d __sr1 = _mm256_mul_pd(__row1, __scalar);
|
||||||
|
__m256d __sr2 = _mm256_mul_pd(__row2, __scalar);
|
||||||
|
__m256d __sr3 = _mm256_mul_pd(__row3, __scalar);
|
||||||
|
|
||||||
|
// Extract results
|
||||||
|
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
||||||
|
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
||||||
|
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
||||||
|
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
for (std::size_t x = 0; x < 4; x++)
|
||||||
|
for (std::size_t y = 0; y < 4; y++)
|
||||||
|
m[x][y] = v[x][y] * scalar;
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return m;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator*=(const double scalar)
|
||||||
|
{
|
||||||
|
*this = *this * scalar;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator/(const double denominator) const
|
||||||
|
{
|
||||||
|
const double precomputeDivision = 1.0 / denominator;
|
||||||
|
|
||||||
|
return *this * precomputeDivision;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator/=(const double denominator)
|
||||||
|
{
|
||||||
|
*this = *this / denominator;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator+(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
Matrix4x4 m;
|
||||||
|
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
|
||||||
|
// Load matrix rows
|
||||||
|
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
||||||
|
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
||||||
|
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
||||||
|
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
||||||
|
|
||||||
|
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
||||||
|
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
||||||
|
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
||||||
|
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
||||||
|
|
||||||
|
// Add rows
|
||||||
|
__m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
|
||||||
|
__m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
|
||||||
|
__m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
|
||||||
|
__m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
|
||||||
|
|
||||||
|
// Extract results
|
||||||
|
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
||||||
|
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
||||||
|
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
||||||
|
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
for (std::size_t x = 0; x < 4; x++)
|
||||||
|
for (std::size_t y = 0; y < 4; y++)
|
||||||
|
m[x][y] = v[x][y] + other[x][y];
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return m;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator+=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
// Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
|
||||||
|
|
||||||
|
// Load matrix rows
|
||||||
|
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
||||||
|
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
||||||
|
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
||||||
|
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
||||||
|
|
||||||
|
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
||||||
|
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
||||||
|
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
||||||
|
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
||||||
|
|
||||||
|
// Add rows
|
||||||
|
__m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
|
||||||
|
__m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
|
||||||
|
__m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
|
||||||
|
__m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
|
||||||
|
|
||||||
|
// Extract results
|
||||||
|
_mm256_storeu_pd(v[0].data(), __sr0);
|
||||||
|
_mm256_storeu_pd(v[1].data(), __sr1);
|
||||||
|
_mm256_storeu_pd(v[2].data(), __sr2);
|
||||||
|
_mm256_storeu_pd(v[3].data(), __sr3);
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
*this = *this + other;
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::operator-(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
Matrix4x4 m;
|
||||||
|
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
|
||||||
|
// Load matrix rows
|
||||||
|
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
||||||
|
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
||||||
|
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
||||||
|
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
||||||
|
|
||||||
|
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
||||||
|
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
||||||
|
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
||||||
|
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
||||||
|
|
||||||
|
// Subtract rows
|
||||||
|
__m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
|
||||||
|
__m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
|
||||||
|
__m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
|
||||||
|
__m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
|
||||||
|
|
||||||
|
// Extract results
|
||||||
|
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
||||||
|
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
||||||
|
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
||||||
|
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
for (std::size_t x = 0; x < 4; x++)
|
||||||
|
for (std::size_t y = 0; y < 4; y++)
|
||||||
|
m[x][y] = v[x][y] - other[x][y];
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return m;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator-=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
|
// Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
|
||||||
|
|
||||||
|
// Load matrix rows
|
||||||
|
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
||||||
|
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
||||||
|
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
||||||
|
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
||||||
|
|
||||||
|
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
||||||
|
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
||||||
|
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
||||||
|
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
||||||
|
|
||||||
|
// Subtract rows
|
||||||
|
__m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
|
||||||
|
__m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
|
||||||
|
__m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
|
||||||
|
__m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
|
||||||
|
|
||||||
|
// Extract results
|
||||||
|
_mm256_storeu_pd(v[0].data(), __sr0);
|
||||||
|
_mm256_storeu_pd(v[1].data(), __sr1);
|
||||||
|
_mm256_storeu_pd(v[2].data(), __sr2);
|
||||||
|
_mm256_storeu_pd(v[3].data(), __sr3);
|
||||||
|
|
||||||
|
#else
|
||||||
|
|
||||||
|
* this = *this - other;
|
||||||
|
|
||||||
|
#endif
|
||||||
|
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
std::array<double, 4>& Matrix4x4::operator[](std::size_t y)
|
||||||
|
{
|
||||||
|
return v[y];
|
||||||
|
}
|
||||||
|
|
||||||
|
const std::array<double, 4>& Matrix4x4::operator[](std::size_t y) const
|
||||||
|
{
|
||||||
|
return v[y];
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
v = other.v;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::operator=(Matrix4x4&& other) noexcept
|
||||||
|
{
|
||||||
|
v = std::move(other.v);
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::operator==(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
return v == other.v;
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::operator!=(const Matrix4x4& other)
|
||||||
|
{
|
||||||
|
return !operator==(other);
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::operator==(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
return v == other.v;
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::operator!=(const Matrix4x4& other) const
|
||||||
|
{
|
||||||
|
return !operator==(other);
|
||||||
|
}
|
||||||
|
|
||||||
|
const Vector3d Matrix4x4::GetTranslationComponent() const
|
||||||
|
{
|
||||||
|
return Vector3d(d, h, l);
|
||||||
|
}
|
||||||
|
|
||||||
|
void Matrix4x4::SetTranslationComponent(const Vector3d& trans)
|
||||||
|
{
|
||||||
|
d = trans.x;
|
||||||
|
h = trans.y;
|
||||||
|
l = trans.z;
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::DropTranslationComponents() const
|
||||||
|
{
|
||||||
|
Matrix4x4 m(*this);
|
||||||
|
m.d = 0;
|
||||||
|
m.h = 0;
|
||||||
|
m.l = 0;
|
||||||
|
return m;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Transpose3x3() const
|
||||||
|
{
|
||||||
|
Matrix4x4 trans(*this); // Keep other cells
|
||||||
|
|
||||||
|
for (std::size_t i = 0; i < 3; i++)
|
||||||
|
for (std::size_t j = 0; j < 3; j++)
|
||||||
|
trans[j][i] = v[i][j];
|
||||||
|
|
||||||
|
return trans;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Transpose4x4() const
|
||||||
|
{
|
||||||
|
Matrix4x4 trans;
|
||||||
|
|
||||||
|
for (std::size_t i = 0; i < 4; i++)
|
||||||
|
for (std::size_t j = 0; j < 4; j++)
|
||||||
|
trans[j][i] = v[i][j];
|
||||||
|
|
||||||
|
return trans;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Multiply4x4(const Matrix4x4& o) const
|
||||||
|
{
|
||||||
|
Matrix4x4 m;
|
||||||
|
|
||||||
|
m[0][0] = (v[0][0]*o[0][0]) + (v[0][1]*o[1][0]) + (v[0][2]*o[2][0]) + (v[0][3]*o[3][0]);
|
||||||
|
m[0][1] = (v[0][0]*o[0][1]) + (v[0][1]*o[1][1]) + (v[0][2]*o[2][1]) + (v[0][3]*o[3][1]);
|
||||||
|
m[0][2] = (v[0][0]*o[0][2]) + (v[0][1]*o[1][2]) + (v[0][2]*o[2][2]) + (v[0][3]*o[3][2]);
|
||||||
|
m[0][3] = (v[0][0]*o[0][3]) + (v[0][1]*o[1][3]) + (v[0][2]*o[2][3]) + (v[0][3]*o[3][3]);
|
||||||
|
|
||||||
|
m[1][0] = (v[1][0]*o[0][0]) + (v[1][1]*o[1][0]) + (v[1][2]*o[2][0]) + (v[1][3]*o[3][0]);
|
||||||
|
m[1][1] = (v[1][0]*o[0][1]) + (v[1][1]*o[1][1]) + (v[1][2]*o[2][1]) + (v[1][3]*o[3][1]);
|
||||||
|
m[1][2] = (v[1][0]*o[0][2]) + (v[1][1]*o[1][2]) + (v[1][2]*o[2][2]) + (v[1][3]*o[3][2]);
|
||||||
|
m[1][3] = (v[1][0]*o[0][3]) + (v[1][1]*o[1][3]) + (v[1][2]*o[2][3]) + (v[1][3]*o[3][3]);
|
||||||
|
|
||||||
|
m[2][0] = (v[2][0]*o[0][0]) + (v[2][1]*o[1][0]) + (v[2][2]*o[2][0]) + (v[2][3]*o[3][0]);
|
||||||
|
m[2][1] = (v[2][0]*o[0][1]) + (v[2][1]*o[1][1]) + (v[2][2]*o[2][1]) + (v[2][3]*o[3][1]);
|
||||||
|
m[2][2] = (v[2][0]*o[0][2]) + (v[2][1]*o[1][2]) + (v[2][2]*o[2][2]) + (v[2][3]*o[3][2]);
|
||||||
|
m[2][3] = (v[2][0]*o[0][3]) + (v[2][1]*o[1][3]) + (v[2][2]*o[2][3]) + (v[2][3]*o[3][3]);
|
||||||
|
|
||||||
|
m[3][0] = (v[3][0]*o[0][0]) + (v[3][1]*o[1][0]) + (v[3][2]*o[2][0]) + (v[3][3]*o[3][0]);
|
||||||
|
m[3][1] = (v[3][0]*o[0][1]) + (v[3][1]*o[1][1]) + (v[3][2]*o[2][1]) + (v[3][3]*o[3][1]);
|
||||||
|
m[3][2] = (v[3][0]*o[0][2]) + (v[3][1]*o[1][2]) + (v[3][2]*o[2][2]) + (v[3][3]*o[3][2]);
|
||||||
|
m[3][3] = (v[3][0]*o[0][3]) + (v[3][1]*o[1][3]) + (v[3][2]*o[2][3]) + (v[3][3]*o[3][3]);
|
||||||
|
|
||||||
|
return m;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::GetCofactors(std::size_t p, std::size_t q, std::size_t n) const
|
||||||
|
{
|
||||||
|
if (n > 4)
|
||||||
|
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
||||||
|
|
||||||
|
Matrix4x4 cofs;
|
||||||
|
|
||||||
|
std::size_t i = 0;
|
||||||
|
std::size_t j = 0;
|
||||||
|
|
||||||
|
for (std::size_t y = 0; y < n; y++)
|
||||||
|
for (std::size_t x = 0; x < n; x++)
|
||||||
|
{
|
||||||
|
if ((y != p) && (x != q))
|
||||||
|
{
|
||||||
|
cofs[i][j] = v[y][x];
|
||||||
|
j++;
|
||||||
|
}
|
||||||
|
|
||||||
|
if (j == n - 1)
|
||||||
|
{
|
||||||
|
j = 0;
|
||||||
|
i++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return cofs;
|
||||||
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* BEGIN_REF
|
||||||
|
* https://www.geeksforgeeks.org/adjoint-inverse-matrix/
|
||||||
|
*/
|
||||||
|
double Matrix4x4::Determinant(std::size_t n) const
|
||||||
|
{
|
||||||
|
if (n > 4)
|
||||||
|
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
||||||
|
|
||||||
|
double d = 0;
|
||||||
|
double sign = 1;
|
||||||
|
|
||||||
|
if (n == 1)
|
||||||
|
return v[0][0];
|
||||||
|
|
||||||
|
for (std::size_t x = 0; x < n; x++)
|
||||||
|
{
|
||||||
|
Matrix4x4 cofs = GetCofactors(0, x, n);
|
||||||
|
|
||||||
|
d += sign * v[0][x] * cofs.Determinant(n - 1);
|
||||||
|
sign = -sign;
|
||||||
|
}
|
||||||
|
|
||||||
|
return d;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Adjoint(std::size_t n) const
|
||||||
|
{
|
||||||
|
if (n > 4)
|
||||||
|
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
||||||
|
|
||||||
|
Matrix4x4 adj;
|
||||||
|
double sign = 1;
|
||||||
|
|
||||||
|
for (std::size_t i = 0; i < n; i++)
|
||||||
|
for (std::size_t j = 0; j < n; j++)
|
||||||
|
{
|
||||||
|
Matrix4x4 cofs = GetCofactors(i, j, n);
|
||||||
|
|
||||||
|
// sign of adj[j][i] positive if sum of row
|
||||||
|
// and column indexes is even.
|
||||||
|
sign = ((i + j) % 2 == 0) ? 1 : -1;
|
||||||
|
|
||||||
|
// Interchanging rows and columns to get the
|
||||||
|
// transpose of the cofactor matrix
|
||||||
|
adj[j][i] = sign * (cofs.Determinant(n - 1));
|
||||||
|
}
|
||||||
|
|
||||||
|
return adj;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Inverse3x3() const
|
||||||
|
{
|
||||||
|
Matrix4x4 inv;
|
||||||
|
|
||||||
|
double det = Determinant(3);
|
||||||
|
if (det == 0.0)
|
||||||
|
throw std::runtime_error("Matrix3x3 not inversible!");
|
||||||
|
|
||||||
|
Matrix4x4 adj = Adjoint(3);
|
||||||
|
|
||||||
|
for (std::size_t i = 0; i < 3; i++)
|
||||||
|
for (std::size_t j = 0; j < 3; j++)
|
||||||
|
inv[i][j] = adj[i][j] / det;
|
||||||
|
|
||||||
|
inv.SetTranslationComponent(-GetTranslationComponent());
|
||||||
|
|
||||||
|
return inv;
|
||||||
|
}
|
||||||
|
|
||||||
|
Matrix4x4 Matrix4x4::Inverse4x4() const
|
||||||
|
{
|
||||||
|
Matrix4x4 inv;
|
||||||
|
|
||||||
|
double det = Determinant(4);
|
||||||
|
if (det == 0.0)
|
||||||
|
throw std::runtime_error("Matrix4x4 not inversible!");
|
||||||
|
|
||||||
|
Matrix4x4 adj = Adjoint(4);
|
||||||
|
|
||||||
|
for (std::size_t i = 0; i < 4; i++)
|
||||||
|
for (std::size_t j = 0; j < 4; j++)
|
||||||
|
inv[i][j] = adj[i][j] / det;
|
||||||
|
|
||||||
|
return inv;
|
||||||
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* END REF
|
||||||
|
*/
|
||||||
|
|
||||||
|
bool Matrix4x4::IsInversible3x3() const
|
||||||
|
{
|
||||||
|
return (Determinant(3) != 0);
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::IsInversible4x4() const
|
||||||
|
{
|
||||||
|
return (Determinant(4) != 0);
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Matrix4x4::Similar(const Matrix4x4& other, double epsilon) const
|
||||||
|
{
|
||||||
|
for (std::size_t i = 0; i < 4; i++)
|
||||||
|
for (std::size_t j = 0; j < 4; j++)
|
||||||
|
if (!Math::Similar(v[i][j], other[i][j], epsilon))
|
||||||
|
return false;
|
||||||
|
|
||||||
|
return true;
|
||||||
|
}
|
||||||
|
|
||||||
|
namespace Eule
|
||||||
|
{
|
||||||
|
std::ostream& operator<< (std::ostream& os, const Matrix4x4& m)
|
||||||
|
{
|
||||||
|
os << std::endl;
|
||||||
|
|
||||||
|
for (std::size_t y = 0; y < 4; y++)
|
||||||
|
{
|
||||||
|
for (std::size_t x = 0; x < 4; x++)
|
||||||
|
os << " | " << m[y][x];
|
||||||
|
|
||||||
|
os << " |" << std::endl;
|
||||||
|
}
|
||||||
|
|
||||||
|
return os;
|
||||||
|
}
|
||||||
|
|
||||||
|
std::wostream& operator<< (std::wostream& os, const Matrix4x4& m)
|
||||||
|
{
|
||||||
|
os << std::endl;
|
||||||
|
|
||||||
|
for (std::size_t y = 0; y < 4; y++)
|
||||||
|
{
|
||||||
|
for (std::size_t x = 0; x < 4; x++)
|
||||||
|
os << L" | " << m[y][x];
|
||||||
|
|
||||||
|
os << L" |" << std::endl;
|
||||||
|
}
|
||||||
|
|
||||||
|
return os;
|
||||||
|
}
|
||||||
|
}
|
@ -3,7 +3,7 @@
|
|||||||
#include <array>
|
#include <array>
|
||||||
#include <ostream>
|
#include <ostream>
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
template <class T>
|
template <class T>
|
||||||
class Vector3;
|
class Vector3;
|
@ -1,5 +1,5 @@
|
|||||||
#include "Eule/Quaternion.h"
|
#include "Quaternion.h"
|
||||||
#include "Eule/Constants.h"
|
#include "Constants.h"
|
||||||
#include <algorithm>
|
#include <algorithm>
|
||||||
#include <functional>
|
#include <functional>
|
||||||
#include <cmath>
|
#include <cmath>
|
||||||
@ -7,10 +7,10 @@
|
|||||||
//#define _EULE_NO_INTRINSICS_
|
//#define _EULE_NO_INTRINSICS_
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
#ifndef _EULE_NO_INTRINSICS_
|
||||||
#include <immintrin.h>
|
#include <immintrin.h>
|
||||||
#include "Eule/gcccompat.h"
|
#include "gcccompat.h"
|
||||||
#endif
|
#endif
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
|
|
||||||
Quaternion::Quaternion()
|
Quaternion::Quaternion()
|
||||||
{
|
{
|
@ -1,10 +1,10 @@
|
|||||||
#pragma once
|
#pragma once
|
||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
#include "Eule/Vector4.h"
|
#include "Vector4.h"
|
||||||
#include "Eule/Matrix4x4.h"
|
#include "Matrix4x4.h"
|
||||||
#include <mutex>
|
#include <mutex>
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** 3D rotation representation
|
/** 3D rotation representation
|
||||||
*/
|
*/
|
76
Eule/Random.cpp
Normal file
76
Eule/Random.cpp
Normal file
@ -0,0 +1,76 @@
|
|||||||
|
#include "Random.h"
|
||||||
|
#include <array>
|
||||||
|
#include <algorithm>
|
||||||
|
|
||||||
|
using namespace Eule;
|
||||||
|
|
||||||
|
// Checks if the random number generator is initialized. Does nothing if it is, initializes if it isn't.
|
||||||
|
#define MAKE_SURE_RNG_IS_INITIALIZED if (!isRngInitialized) InitRng();
|
||||||
|
|
||||||
|
void Random::InitRng()
|
||||||
|
{
|
||||||
|
// Create truly random source (from hardware events)
|
||||||
|
std::random_device randomSource;
|
||||||
|
|
||||||
|
// Generate enough truly random values to populate the entire state of the mersenne twister
|
||||||
|
std::array<int, std::mt19937::state_size> seedValues;
|
||||||
|
std::generate_n(seedValues.data(), seedValues.size(), std::ref(randomSource));
|
||||||
|
std::seed_seq seedSequence(seedValues.begin(), seedValues.end());
|
||||||
|
|
||||||
|
// Seed the mersenne twister with these values
|
||||||
|
rng = std::mt19937(seedSequence);
|
||||||
|
|
||||||
|
isRngInitialized = true;
|
||||||
|
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Will return a random double between 0 and 1
|
||||||
|
double Random::RandomFloat()
|
||||||
|
{
|
||||||
|
MAKE_SURE_RNG_IS_INITIALIZED;
|
||||||
|
|
||||||
|
return (rng() % 694206942069ll) / 694206942069.0;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Will return a random unsigned integer.
|
||||||
|
unsigned int Random::RandomUint()
|
||||||
|
{
|
||||||
|
MAKE_SURE_RNG_IS_INITIALIZED;
|
||||||
|
|
||||||
|
return rng();
|
||||||
|
}
|
||||||
|
|
||||||
|
// Will return a random integer
|
||||||
|
unsigned int Random::RandomInt()
|
||||||
|
{
|
||||||
|
MAKE_SURE_RNG_IS_INITIALIZED;
|
||||||
|
|
||||||
|
// Since this is supposed to return a random value anyways,
|
||||||
|
// we can let the random uint overflow without any problems.
|
||||||
|
return (int)rng();
|
||||||
|
}
|
||||||
|
|
||||||
|
// Will return a random double within a range
|
||||||
|
// These bounds are INCLUSIVE!
|
||||||
|
double Random::RandomRange(double min, double max)
|
||||||
|
{
|
||||||
|
return (RandomFloat() * (max - min)) + min;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Will return a random integer within a range. This is faster than '(int)RandomRange(x,y)'
|
||||||
|
// These bounds are INCLUSIVE!
|
||||||
|
int Random::RandomIntRange(int min, int max)
|
||||||
|
{
|
||||||
|
MAKE_SURE_RNG_IS_INITIALIZED;
|
||||||
|
|
||||||
|
return (rng() % (max + 1 - min)) + min;
|
||||||
|
}
|
||||||
|
|
||||||
|
bool Random::RandomChance(const double chance)
|
||||||
|
{
|
||||||
|
return RandomFloat() <= chance;
|
||||||
|
}
|
||||||
|
|
||||||
|
std::mt19937 Random::rng;
|
||||||
|
bool Random::isRngInitialized = false;
|
@ -1,7 +1,7 @@
|
|||||||
#pragma once
|
#pragma once
|
||||||
#include <random>
|
#include <random>
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** Extensive random number generator
|
/** Extensive random number generator
|
||||||
*/
|
*/
|
@ -1,7 +1,7 @@
|
|||||||
#pragma once
|
#pragma once
|
||||||
#include "Eule/Vector2.h"
|
#include "../Eule/Vector2.h"
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** Trivial data structure representing a rectangle
|
/** Trivial data structure representing a rectangle
|
||||||
*/
|
*/
|
@ -1,6 +1,6 @@
|
|||||||
#include "Eule/TrapazoidalPrismCollider.h"
|
#include "TrapazoidalPrismCollider.h"
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
TrapazoidalPrismCollider::TrapazoidalPrismCollider()
|
TrapazoidalPrismCollider::TrapazoidalPrismCollider()
|
||||||
{
|
{
|
@ -1,9 +1,9 @@
|
|||||||
#pragma once
|
#pragma once
|
||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
#include "Eule/Collider.h"
|
#include "Collider.h"
|
||||||
#include <array>
|
#include <array>
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
/** A collider describing a trapazoidal prism.
|
/** A collider describing a trapazoidal prism.
|
||||||
* A trapazoidal prism is basically a box, but each vertex can be manipulated individually, altering
|
* A trapazoidal prism is basically a box, but each vertex can be manipulated individually, altering
|
@ -1,8 +1,8 @@
|
|||||||
#include "Eule/Vector2.h"
|
#include "Vector2.h"
|
||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
#include "Eule/Vector4.h"
|
#include "Vector4.h"
|
||||||
|
|
||||||
#include "Eule/Math.h"
|
#include "Math.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
//#define _EULE_NO_INTRINSICS_
|
//#define _EULE_NO_INTRINSICS_
|
||||||
@ -19,7 +19,7 @@
|
|||||||
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
Vector2<T>::operator Vector3<T>() const
|
Vector2<T>::operator Vector3<T>() const
|
||||||
@ -322,8 +322,8 @@ namespace Leonetienne::Eule {
|
|||||||
bool Vector2<T>::Similar(const Vector2<T>& other, double epsilon) const
|
bool Vector2<T>::Similar(const Vector2<T>& other, double epsilon) const
|
||||||
{
|
{
|
||||||
return
|
return
|
||||||
(::Leonetienne::Eule::Math::Similar(x, other.x, epsilon)) &&
|
(::Eule::Math::Similar(x, other.x, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(y, other.y, epsilon))
|
(::Eule::Math::Similar(y, other.y, epsilon))
|
||||||
;
|
;
|
||||||
}
|
}
|
||||||
|
|
@ -2,7 +2,7 @@
|
|||||||
#include <cstdlib>
|
#include <cstdlib>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
template<typename T>
|
template<typename T>
|
||||||
class Vector3;
|
class Vector3;
|
||||||
|
|
@ -1,8 +1,8 @@
|
|||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
#include "Eule/Vector2.h"
|
#include "Vector2.h"
|
||||||
#include "Eule/Vector4.h"
|
#include "Vector4.h"
|
||||||
|
|
||||||
#include "Eule/Math.h"
|
#include "Math.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
//#define _EULE_NO_INTRINSICS_
|
//#define _EULE_NO_INTRINSICS_
|
||||||
@ -19,7 +19,7 @@
|
|||||||
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
template<typename T>
|
template<typename T>
|
||||||
Vector3<T>::operator Vector2<T>() const
|
Vector3<T>::operator Vector2<T>() const
|
||||||
{
|
{
|
||||||
@ -235,9 +235,9 @@ namespace Leonetienne::Eule {
|
|||||||
bool Vector3<T>::Similar(const Vector3<T>& other, double epsilon) const
|
bool Vector3<T>::Similar(const Vector3<T>& other, double epsilon) const
|
||||||
{
|
{
|
||||||
return
|
return
|
||||||
(::Leonetienne::Eule::Math::Similar(x, other.x, epsilon)) &&
|
(::Eule::Math::Similar(x, other.x, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(y, other.y, epsilon)) &&
|
(::Eule::Math::Similar(y, other.y, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(z, other.z, epsilon))
|
(::Eule::Math::Similar(z, other.z, epsilon))
|
||||||
;
|
;
|
||||||
}
|
}
|
||||||
|
|
@ -3,9 +3,9 @@
|
|||||||
#include <iomanip>
|
#include <iomanip>
|
||||||
#include <ostream>
|
#include <ostream>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
#include "Eule/Matrix4x4.h"
|
#include "Matrix4x4.h"
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
template<typename T>
|
template<typename T>
|
||||||
class Vector2;
|
class Vector2;
|
||||||
|
|
@ -1,8 +1,8 @@
|
|||||||
#include "Eule/Vector4.h"
|
#include "Vector4.h"
|
||||||
#include "Eule/Vector2.h"
|
#include "Vector2.h"
|
||||||
#include "Eule/Vector3.h"
|
#include "Vector3.h"
|
||||||
|
|
||||||
#include "Eule/Math.h"
|
#include "Math.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
//#define _EULE_NO_INTRINSICS_
|
//#define _EULE_NO_INTRINSICS_
|
||||||
@ -19,7 +19,7 @@
|
|||||||
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
namespace Eule {
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
Vector4<T>::operator Vector2<T>() const
|
Vector4<T>::operator Vector2<T>() const
|
||||||
@ -183,10 +183,10 @@ namespace Leonetienne::Eule {
|
|||||||
bool Vector4<T>::Similar(const Vector4<T>& other, double epsilon) const
|
bool Vector4<T>::Similar(const Vector4<T>& other, double epsilon) const
|
||||||
{
|
{
|
||||||
return
|
return
|
||||||
(::Leonetienne::Eule::Math::Similar(x, other.x, epsilon)) &&
|
(::Eule::Math::Similar(x, other.x, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(y, other.y, epsilon)) &&
|
(::Eule::Math::Similar(y, other.y, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(z, other.z, epsilon)) &&
|
(::Eule::Math::Similar(z, other.z, epsilon)) &&
|
||||||
(::Leonetienne::Eule::Math::Similar(w, other.w, epsilon))
|
(::Eule::Math::Similar(w, other.w, epsilon))
|
||||||
;
|
;
|
||||||
}
|
}
|
||||||
|
|
@ -3,9 +3,9 @@
|
|||||||
#include <iomanip>
|
#include <iomanip>
|
||||||
#include <ostream>
|
#include <ostream>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
#include "Eule/Matrix4x4.h"
|
#include "Matrix4x4.h"
|
||||||
|
|
||||||
namespace Leonetienne::Eule
|
namespace Eule
|
||||||
{
|
{
|
||||||
template <typename T> class Vector2;
|
template <typename T> class Vector2;
|
||||||
template <typename T> class Vector3;
|
template <typename T> class Vector3;
|
@ -1,10 +0,0 @@
|
|||||||
all:
|
|
||||||
# Copy all but the header of the readme here
|
|
||||||
tail ../../readme.md -n +4 > index.md
|
|
||||||
#
|
|
||||||
# Run doxygen
|
|
||||||
doxygen doxyfig
|
|
||||||
#
|
|
||||||
# Cleanup index.md
|
|
||||||
rm index.md
|
|
||||||
|
|
@ -1,17 +0,0 @@
|
|||||||
#pragma once
|
|
||||||
|
|
||||||
// Pretty sure the compiler will optimize these calculations out...
|
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
|
||||||
//! Pi up to 50 decimal places
|
|
||||||
static constexpr double PI = 3.14159265358979323846264338327950288419716939937510;
|
|
||||||
|
|
||||||
//! Pi divided by two
|
|
||||||
static constexpr double HALF_PI = 1.57079632679489661923132169163975144209858469968755;
|
|
||||||
|
|
||||||
//! Factor to convert degrees to radians
|
|
||||||
static constexpr double Deg2Rad = 0.0174532925199432957692369076848861271344287188854172222222222222;
|
|
||||||
|
|
||||||
//! Factor to convert radians to degrees
|
|
||||||
static constexpr double Rad2Deg = 57.295779513082320876798154814105170332405472466564427711013084788;
|
|
||||||
}
|
|
@ -1,2 +0,0 @@
|
|||||||
#pragma once
|
|
||||||
#define EULE_VERSION (0.11)
|
|
@ -1 +0,0 @@
|
|||||||
#include "Eule/Collider.h"
|
|
@ -1,28 +0,0 @@
|
|||||||
#include "Eule/Math.h"
|
|
||||||
#include "Eule/Constants.h"
|
|
||||||
#include <array>
|
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
|
||||||
|
|
||||||
int Math::Mod(const int numerator, const int denominator) {
|
|
||||||
if (denominator == 0)
|
|
||||||
throw std::logic_error("Division by zero");
|
|
||||||
|
|
||||||
// Quick optimizations:
|
|
||||||
|
|
||||||
// -> 0/n is always 0
|
|
||||||
if (numerator == 0)
|
|
||||||
return 0;
|
|
||||||
|
|
||||||
// -> operator% works for a > 0 && b > 0
|
|
||||||
if (denominator > 0 && numerator > 0)
|
|
||||||
return numerator % denominator;
|
|
||||||
|
|
||||||
// Else: generalized formula
|
|
||||||
return (denominator + (numerator % denominator)) % denominator;
|
|
||||||
}
|
|
||||||
|
|
||||||
double Math::Oscillate(const double a, const double b, const double counter, const double speed) {
|
|
||||||
return (sin(counter * speed * PI - HALF_PI) * 0.5 + 0.5) * (b - a) + a;
|
|
||||||
}
|
|
||||||
}
|
|
@ -1,611 +0,0 @@
|
|||||||
#include "Eule/Matrix4x4.h"
|
|
||||||
#include "Eule/Vector3.h"
|
|
||||||
#include "Eule/Math.h"
|
|
||||||
|
|
||||||
//#define _EULE_NO_INTRINSICS_
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
#include <immintrin.h>
|
|
||||||
#endif
|
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
|
||||||
|
|
||||||
Matrix4x4::Matrix4x4() {
|
|
||||||
// Create identity matrix
|
|
||||||
for (std::size_t i = 0; i < 4; i++)
|
|
||||||
for (std::size_t j = 0; j < 4; j++)
|
|
||||||
v[i][j] = double(i == j);
|
|
||||||
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4::Matrix4x4(const Matrix4x4 &other) {
|
|
||||||
v = other.v;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4::Matrix4x4(Matrix4x4 &&other) noexcept {
|
|
||||||
v = std::move(other.v);
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator*(const Matrix4x4 &other) const {
|
|
||||||
Matrix4x4 newMatrix;
|
|
||||||
newMatrix.p = 1;
|
|
||||||
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
|
|
||||||
|
|
||||||
/* <= Matrix3x3 multiplication => */
|
|
||||||
|
|
||||||
// Load matrix components
|
|
||||||
__m256d __va1 = _mm256_set_pd(v[0][0], v[0][0], v[0][0], v[1][0]);
|
|
||||||
__m256d __va2 = _mm256_set_pd(v[1][0], v[1][0], v[2][0], v[2][0]);
|
|
||||||
|
|
||||||
__m256d __oa1 = _mm256_set_pd(other[0][0], other[0][1], other[0][2], other[0][0]);
|
|
||||||
__m256d __oa2 = _mm256_set_pd(other[0][1], other[0][2], other[0][0], other[0][1]);
|
|
||||||
|
|
||||||
__m256d __vb1 = _mm256_set_pd(v[0][1], v[0][1], v[0][1], v[1][1]);
|
|
||||||
__m256d __vb2 = _mm256_set_pd(v[1][1], v[1][1], v[2][1], v[2][1]);
|
|
||||||
|
|
||||||
__m256d __ob1 = _mm256_set_pd(other[1][0], other[1][1], other[1][2], other[1][0]);
|
|
||||||
__m256d __ob2 = _mm256_set_pd(other[1][1], other[1][2], other[1][0], other[1][1]);
|
|
||||||
|
|
||||||
__m256d __vc1 = _mm256_set_pd(v[0][2], v[0][2], v[0][2], v[1][2]);
|
|
||||||
__m256d __vc2 = _mm256_set_pd(v[1][2], v[1][2], v[2][2], v[2][2]);
|
|
||||||
|
|
||||||
__m256d __oc1 = _mm256_set_pd(other[2][0], other[2][1], other[2][2], other[2][0]);
|
|
||||||
__m256d __oc2 = _mm256_set_pd(other[2][1], other[2][2], other[2][0], other[2][1]);
|
|
||||||
|
|
||||||
// Initialize sums
|
|
||||||
__m256d __sum1 = _mm256_set1_pd(0);
|
|
||||||
__m256d __sum2 = _mm256_set1_pd(0);
|
|
||||||
|
|
||||||
// Let's multiply-add them together
|
|
||||||
// First, the first block
|
|
||||||
__sum1 = _mm256_fmadd_pd(__va1, __oa1, __sum1);
|
|
||||||
__sum1 = _mm256_fmadd_pd(__vb1, __ob1, __sum1);
|
|
||||||
__sum1 = _mm256_fmadd_pd(__vc1, __oc1, __sum1);
|
|
||||||
|
|
||||||
// Then the second block
|
|
||||||
__sum2 = _mm256_fmadd_pd(__va2, __oa2, __sum2);
|
|
||||||
__sum2 = _mm256_fmadd_pd(__vb2, __ob2, __sum2);
|
|
||||||
__sum2 = _mm256_fmadd_pd(__vc2, __oc2, __sum2);
|
|
||||||
|
|
||||||
// Retrieve results
|
|
||||||
double sum1[4];
|
|
||||||
double sum2[4];
|
|
||||||
|
|
||||||
_mm256_storeu_pd(sum1, __sum1);
|
|
||||||
_mm256_storeu_pd(sum2, __sum2);
|
|
||||||
|
|
||||||
// Apply results
|
|
||||||
// Block 1
|
|
||||||
newMatrix[0][0] = sum1[3];
|
|
||||||
newMatrix[0][1] = sum1[2];
|
|
||||||
newMatrix[0][2] = sum1[1];
|
|
||||||
newMatrix[1][0] = sum1[0];
|
|
||||||
|
|
||||||
// Block 2
|
|
||||||
newMatrix[1][1] = sum2[3];
|
|
||||||
newMatrix[1][2] = sum2[2];
|
|
||||||
newMatrix[2][0] = sum2[1];
|
|
||||||
newMatrix[2][1] = sum2[0];
|
|
||||||
|
|
||||||
// Does not fit in the intrinsic calculation. Might just calculate 'by hand'.
|
|
||||||
newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
|
|
||||||
|
|
||||||
|
|
||||||
/* <= Translation component => */
|
|
||||||
|
|
||||||
// Load translation components into registers
|
|
||||||
__m256d __transSelf = _mm256_set_pd(0, l, h, d);
|
|
||||||
__m256d __transOther = _mm256_set_pd(0, other.l, other.h, other.d);
|
|
||||||
|
|
||||||
// Let's add them
|
|
||||||
__m256d __sum = _mm256_add_pd(__transSelf, __transOther);
|
|
||||||
|
|
||||||
// Retrieve results
|
|
||||||
double sum[4];
|
|
||||||
_mm256_storeu_pd(sum, __sum);
|
|
||||||
|
|
||||||
// Apply them
|
|
||||||
newMatrix.d = sum[0];
|
|
||||||
newMatrix.h = sum[1];
|
|
||||||
newMatrix.l = sum[2];
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
|
|
||||||
// Rotation, Scaling
|
|
||||||
newMatrix[0][0] = (v[0][0] * other[0][0]) + (v[0][1] * other[1][0]) + (v[0][2] * other[2][0]);
|
|
||||||
newMatrix[0][1] = (v[0][0] * other[0][1]) + (v[0][1] * other[1][1]) + (v[0][2] * other[2][1]);
|
|
||||||
newMatrix[0][2] = (v[0][0] * other[0][2]) + (v[0][1] * other[1][2]) + (v[0][2] * other[2][2]);
|
|
||||||
|
|
||||||
newMatrix[1][0] = (v[1][0] * other[0][0]) + (v[1][1] * other[1][0]) + (v[1][2] * other[2][0]);
|
|
||||||
newMatrix[1][1] = (v[1][0] * other[0][1]) + (v[1][1] * other[1][1]) + (v[1][2] * other[2][1]);
|
|
||||||
newMatrix[1][2] = (v[1][0] * other[0][2]) + (v[1][1] * other[1][2]) + (v[1][2] * other[2][2]);
|
|
||||||
|
|
||||||
newMatrix[2][0] = (v[2][0] * other[0][0]) + (v[2][1] * other[1][0]) + (v[2][2] * other[2][0]);
|
|
||||||
newMatrix[2][1] = (v[2][0] * other[0][1]) + (v[2][1] * other[1][1]) + (v[2][2] * other[2][1]);
|
|
||||||
newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
|
|
||||||
|
|
||||||
|
|
||||||
// Translation
|
|
||||||
newMatrix[0][3] = v[0][3] + other[0][3];
|
|
||||||
newMatrix[1][3] = v[1][3] + other[1][3];
|
|
||||||
newMatrix[2][3] = v[2][3] + other[2][3];
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return newMatrix;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator*=(const Matrix4x4 &other) {
|
|
||||||
*this = *this * other;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator/(const Matrix4x4 &other) const {
|
|
||||||
return *this * other.Inverse3x3();
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator/=(const Matrix4x4 &other) {
|
|
||||||
*this = *this * other.Inverse3x3();
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator*(const double scalar) const {
|
|
||||||
Matrix4x4 m;
|
|
||||||
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
|
|
||||||
// Load matrix rows
|
|
||||||
__m256d __row0 = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
|
||||||
__m256d __row1 = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
|
||||||
__m256d __row2 = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
|
||||||
__m256d __row3 = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
|
||||||
|
|
||||||
// Load scalar
|
|
||||||
__m256d __scalar = _mm256_set1_pd(scalar);
|
|
||||||
|
|
||||||
// Scale values
|
|
||||||
__m256d __sr0 = _mm256_mul_pd(__row0, __scalar);
|
|
||||||
__m256d __sr1 = _mm256_mul_pd(__row1, __scalar);
|
|
||||||
__m256d __sr2 = _mm256_mul_pd(__row2, __scalar);
|
|
||||||
__m256d __sr3 = _mm256_mul_pd(__row3, __scalar);
|
|
||||||
|
|
||||||
// Extract results
|
|
||||||
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
|
||||||
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
|
||||||
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
|
||||||
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
for (std::size_t x = 0; x < 4; x++)
|
|
||||||
for (std::size_t y = 0; y < 4; y++)
|
|
||||||
m[x][y] = v[x][y] * scalar;
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return m;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator*=(const double scalar) {
|
|
||||||
*this = *this * scalar;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator/(const double denominator) const {
|
|
||||||
const double precomputeDivision = 1.0 / denominator;
|
|
||||||
|
|
||||||
return *this * precomputeDivision;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator/=(const double denominator) {
|
|
||||||
*this = *this / denominator;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator+(const Matrix4x4 &other) const {
|
|
||||||
Matrix4x4 m;
|
|
||||||
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
|
|
||||||
// Load matrix rows
|
|
||||||
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
|
||||||
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
|
||||||
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
|
||||||
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
|
||||||
|
|
||||||
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
|
||||||
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
|
||||||
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
|
||||||
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
|
||||||
|
|
||||||
// Add rows
|
|
||||||
__m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
|
|
||||||
__m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
|
|
||||||
__m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
|
|
||||||
__m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
|
|
||||||
|
|
||||||
// Extract results
|
|
||||||
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
|
||||||
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
|
||||||
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
|
||||||
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
for (std::size_t x = 0; x < 4; x++)
|
|
||||||
for (std::size_t y = 0; y < 4; y++)
|
|
||||||
m[x][y] = v[x][y] + other[x][y];
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return m;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator+=(const Matrix4x4 &other) {
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
// Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
|
|
||||||
|
|
||||||
// Load matrix rows
|
|
||||||
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
|
||||||
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
|
||||||
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
|
||||||
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
|
||||||
|
|
||||||
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
|
||||||
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
|
||||||
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
|
||||||
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
|
||||||
|
|
||||||
// Add rows
|
|
||||||
__m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
|
|
||||||
__m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
|
|
||||||
__m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
|
|
||||||
__m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
|
|
||||||
|
|
||||||
// Extract results
|
|
||||||
_mm256_storeu_pd(v[0].data(), __sr0);
|
|
||||||
_mm256_storeu_pd(v[1].data(), __sr1);
|
|
||||||
_mm256_storeu_pd(v[2].data(), __sr2);
|
|
||||||
_mm256_storeu_pd(v[3].data(), __sr3);
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
*this = *this + other;
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::operator-(const Matrix4x4 &other) const {
|
|
||||||
Matrix4x4 m;
|
|
||||||
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
|
|
||||||
// Load matrix rows
|
|
||||||
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
|
||||||
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
|
||||||
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
|
||||||
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
|
||||||
|
|
||||||
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
|
||||||
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
|
||||||
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
|
||||||
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
|
||||||
|
|
||||||
// Subtract rows
|
|
||||||
__m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
|
|
||||||
__m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
|
|
||||||
__m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
|
|
||||||
__m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
|
|
||||||
|
|
||||||
// Extract results
|
|
||||||
_mm256_storeu_pd(m.v[0].data(), __sr0);
|
|
||||||
_mm256_storeu_pd(m.v[1].data(), __sr1);
|
|
||||||
_mm256_storeu_pd(m.v[2].data(), __sr2);
|
|
||||||
_mm256_storeu_pd(m.v[3].data(), __sr3);
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
for (std::size_t x = 0; x < 4; x++)
|
|
||||||
for (std::size_t y = 0; y < 4; y++)
|
|
||||||
m[x][y] = v[x][y] - other[x][y];
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return m;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator-=(const Matrix4x4 &other) {
|
|
||||||
#ifndef _EULE_NO_INTRINSICS_
|
|
||||||
// Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
|
|
||||||
|
|
||||||
// Load matrix rows
|
|
||||||
__m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
|
|
||||||
__m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
|
|
||||||
__m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
|
|
||||||
__m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
|
|
||||||
|
|
||||||
__m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
|
|
||||||
__m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
|
|
||||||
__m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
|
|
||||||
__m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
|
|
||||||
|
|
||||||
// Subtract rows
|
|
||||||
__m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
|
|
||||||
__m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
|
|
||||||
__m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
|
|
||||||
__m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
|
|
||||||
|
|
||||||
// Extract results
|
|
||||||
_mm256_storeu_pd(v[0].data(), __sr0);
|
|
||||||
_mm256_storeu_pd(v[1].data(), __sr1);
|
|
||||||
_mm256_storeu_pd(v[2].data(), __sr2);
|
|
||||||
_mm256_storeu_pd(v[3].data(), __sr3);
|
|
||||||
|
|
||||||
#else
|
|
||||||
|
|
||||||
*this = *this - other;
|
|
||||||
|
|
||||||
#endif
|
|
||||||
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
std::array<double, 4> &Matrix4x4::operator[](std::size_t y) {
|
|
||||||
return v[y];
|
|
||||||
}
|
|
||||||
|
|
||||||
const std::array<double, 4> &Matrix4x4::operator[](std::size_t y) const {
|
|
||||||
return v[y];
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator=(const Matrix4x4 &other) {
|
|
||||||
v = other.v;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::operator=(Matrix4x4 &&other) noexcept {
|
|
||||||
v = std::move(other.v);
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::operator==(const Matrix4x4 &other) {
|
|
||||||
return v == other.v;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::operator!=(const Matrix4x4 &other) {
|
|
||||||
return !operator==(other);
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::operator==(const Matrix4x4 &other) const {
|
|
||||||
return v == other.v;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::operator!=(const Matrix4x4 &other) const {
|
|
||||||
return !operator==(other);
|
|
||||||
}
|
|
||||||
|
|
||||||
const Vector3d Matrix4x4::GetTranslationComponent() const {
|
|
||||||
return Vector3d(d, h, l);
|
|
||||||
}
|
|
||||||
|
|
||||||
void Matrix4x4::SetTranslationComponent(const Vector3d &trans) {
|
|
||||||
d = trans.x;
|
|
||||||
h = trans.y;
|
|
||||||
l = trans.z;
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::DropTranslationComponents() const {
|
|
||||||
Matrix4x4 m(*this);
|
|
||||||
m.d = 0;
|
|
||||||
m.h = 0;
|
|
||||||
m.l = 0;
|
|
||||||
return m;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Transpose3x3() const {
|
|
||||||
Matrix4x4 trans(*this); // Keep other cells
|
|
||||||
|
|
||||||
for (std::size_t i = 0; i < 3; i++)
|
|
||||||
for (std::size_t j = 0; j < 3; j++)
|
|
||||||
trans[j][i] = v[i][j];
|
|
||||||
|
|
||||||
return trans;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Transpose4x4() const {
|
|
||||||
Matrix4x4 trans;
|
|
||||||
|
|
||||||
for (std::size_t i = 0; i < 4; i++)
|
|
||||||
for (std::size_t j = 0; j < 4; j++)
|
|
||||||
trans[j][i] = v[i][j];
|
|
||||||
|
|
||||||
return trans;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Multiply4x4(const Matrix4x4 &o) const {
|
|
||||||
Matrix4x4 m;
|
|
||||||
|
|
||||||
m[0][0] = (v[0][0] * o[0][0]) + (v[0][1] * o[1][0]) + (v[0][2] * o[2][0]) + (v[0][3] * o[3][0]);
|
|
||||||
m[0][1] = (v[0][0] * o[0][1]) + (v[0][1] * o[1][1]) + (v[0][2] * o[2][1]) + (v[0][3] * o[3][1]);
|
|
||||||
m[0][2] = (v[0][0] * o[0][2]) + (v[0][1] * o[1][2]) + (v[0][2] * o[2][2]) + (v[0][3] * o[3][2]);
|
|
||||||
m[0][3] = (v[0][0] * o[0][3]) + (v[0][1] * o[1][3]) + (v[0][2] * o[2][3]) + (v[0][3] * o[3][3]);
|
|
||||||
|
|
||||||
m[1][0] = (v[1][0] * o[0][0]) + (v[1][1] * o[1][0]) + (v[1][2] * o[2][0]) + (v[1][3] * o[3][0]);
|
|
||||||
m[1][1] = (v[1][0] * o[0][1]) + (v[1][1] * o[1][1]) + (v[1][2] * o[2][1]) + (v[1][3] * o[3][1]);
|
|
||||||
m[1][2] = (v[1][0] * o[0][2]) + (v[1][1] * o[1][2]) + (v[1][2] * o[2][2]) + (v[1][3] * o[3][2]);
|
|
||||||
m[1][3] = (v[1][0] * o[0][3]) + (v[1][1] * o[1][3]) + (v[1][2] * o[2][3]) + (v[1][3] * o[3][3]);
|
|
||||||
|
|
||||||
m[2][0] = (v[2][0] * o[0][0]) + (v[2][1] * o[1][0]) + (v[2][2] * o[2][0]) + (v[2][3] * o[3][0]);
|
|
||||||
m[2][1] = (v[2][0] * o[0][1]) + (v[2][1] * o[1][1]) + (v[2][2] * o[2][1]) + (v[2][3] * o[3][1]);
|
|
||||||
m[2][2] = (v[2][0] * o[0][2]) + (v[2][1] * o[1][2]) + (v[2][2] * o[2][2]) + (v[2][3] * o[3][2]);
|
|
||||||
m[2][3] = (v[2][0] * o[0][3]) + (v[2][1] * o[1][3]) + (v[2][2] * o[2][3]) + (v[2][3] * o[3][3]);
|
|
||||||
|
|
||||||
m[3][0] = (v[3][0] * o[0][0]) + (v[3][1] * o[1][0]) + (v[3][2] * o[2][0]) + (v[3][3] * o[3][0]);
|
|
||||||
m[3][1] = (v[3][0] * o[0][1]) + (v[3][1] * o[1][1]) + (v[3][2] * o[2][1]) + (v[3][3] * o[3][1]);
|
|
||||||
m[3][2] = (v[3][0] * o[0][2]) + (v[3][1] * o[1][2]) + (v[3][2] * o[2][2]) + (v[3][3] * o[3][2]);
|
|
||||||
m[3][3] = (v[3][0] * o[0][3]) + (v[3][1] * o[1][3]) + (v[3][2] * o[2][3]) + (v[3][3] * o[3][3]);
|
|
||||||
|
|
||||||
return m;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::GetCofactors(std::size_t p, std::size_t q, std::size_t n) const {
|
|
||||||
if (n > 4)
|
|
||||||
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
|
||||||
|
|
||||||
Matrix4x4 cofs;
|
|
||||||
|
|
||||||
std::size_t i = 0;
|
|
||||||
std::size_t j = 0;
|
|
||||||
|
|
||||||
for (std::size_t y = 0; y < n; y++)
|
|
||||||
for (std::size_t x = 0; x < n; x++) {
|
|
||||||
if ((y != p) && (x != q)) {
|
|
||||||
cofs[i][j] = v[y][x];
|
|
||||||
j++;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (j == n - 1) {
|
|
||||||
j = 0;
|
|
||||||
i++;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
return cofs;
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
|
||||||
* BEGIN_REF
|
|
||||||
* https://www.geeksforgeeks.org/adjoint-inverse-matrix/
|
|
||||||
*/
|
|
||||||
double Matrix4x4::Determinant(std::size_t n) const {
|
|
||||||
if (n > 4)
|
|
||||||
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
|
||||||
|
|
||||||
double d = 0;
|
|
||||||
double sign = 1;
|
|
||||||
|
|
||||||
if (n == 1)
|
|
||||||
return v[0][0];
|
|
||||||
|
|
||||||
for (std::size_t x = 0; x < n; x++) {
|
|
||||||
Matrix4x4 cofs = GetCofactors(0, x, n);
|
|
||||||
|
|
||||||
d += sign * v[0][x] * cofs.Determinant(n - 1);
|
|
||||||
sign = -sign;
|
|
||||||
}
|
|
||||||
|
|
||||||
return d;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Adjoint(std::size_t n) const {
|
|
||||||
if (n > 4)
|
|
||||||
throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
|
|
||||||
|
|
||||||
Matrix4x4 adj;
|
|
||||||
double sign = 1;
|
|
||||||
|
|
||||||
for (std::size_t i = 0; i < n; i++)
|
|
||||||
for (std::size_t j = 0; j < n; j++) {
|
|
||||||
Matrix4x4 cofs = GetCofactors(i, j, n);
|
|
||||||
|
|
||||||
// sign of adj[j][i] positive if sum of row
|
|
||||||
// and column indexes is even.
|
|
||||||
sign = ((i + j) % 2 == 0) ? 1 : -1;
|
|
||||||
|
|
||||||
// Interchanging rows and columns to get the
|
|
||||||
// transpose of the cofactor matrix
|
|
||||||
adj[j][i] = sign * (cofs.Determinant(n - 1));
|
|
||||||
}
|
|
||||||
|
|
||||||
return adj;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Inverse3x3() const {
|
|
||||||
Matrix4x4 inv;
|
|
||||||
|
|
||||||
double det = Determinant(3);
|
|
||||||
if (det == 0.0)
|
|
||||||
throw std::runtime_error("Matrix3x3 not inversible!");
|
|
||||||
|
|
||||||
Matrix4x4 adj = Adjoint(3);
|
|
||||||
|
|
||||||
for (std::size_t i = 0; i < 3; i++)
|
|
||||||
for (std::size_t j = 0; j < 3; j++)
|
|
||||||
inv[i][j] = adj[i][j] / det;
|
|
||||||
|
|
||||||
inv.SetTranslationComponent(-GetTranslationComponent());
|
|
||||||
|
|
||||||
return inv;
|
|
||||||
}
|
|
||||||
|
|
||||||
Matrix4x4 Matrix4x4::Inverse4x4() const {
|
|
||||||
Matrix4x4 inv;
|
|
||||||
|
|
||||||
double det = Determinant(4);
|
|
||||||
if (det == 0.0)
|
|
||||||
throw std::runtime_error("Matrix4x4 not inversible!");
|
|
||||||
|
|
||||||
Matrix4x4 adj = Adjoint(4);
|
|
||||||
|
|
||||||
for (std::size_t i = 0; i < 4; i++)
|
|
||||||
for (std::size_t j = 0; j < 4; j++)
|
|
||||||
inv[i][j] = adj[i][j] / det;
|
|
||||||
|
|
||||||
return inv;
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
|
||||||
* END REF
|
|
||||||
*/
|
|
||||||
|
|
||||||
bool Matrix4x4::IsInversible3x3() const {
|
|
||||||
return (Determinant(3) != 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::IsInversible4x4() const {
|
|
||||||
return (Determinant(4) != 0);
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Matrix4x4::Similar(const Matrix4x4 &other, double epsilon) const {
|
|
||||||
for (std::size_t i = 0; i < 4; i++)
|
|
||||||
for (std::size_t j = 0; j < 4; j++)
|
|
||||||
if (!Math::Similar(v[i][j], other[i][j], epsilon))
|
|
||||||
return false;
|
|
||||||
|
|
||||||
return true;
|
|
||||||
}
|
|
||||||
|
|
||||||
std::ostream &operator<<(std::ostream &os, const Matrix4x4 &m) {
|
|
||||||
os << std::endl;
|
|
||||||
|
|
||||||
for (std::size_t y = 0; y < 4; y++) {
|
|
||||||
for (std::size_t x = 0; x < 4; x++)
|
|
||||||
os << " | " << m[y][x];
|
|
||||||
|
|
||||||
os << " |" << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
return os;
|
|
||||||
}
|
|
||||||
|
|
||||||
std::wostream &operator<<(std::wostream &os, const Matrix4x4 &m) {
|
|
||||||
os << std::endl;
|
|
||||||
|
|
||||||
for (std::size_t y = 0; y < 4; y++) {
|
|
||||||
for (std::size_t x = 0; x < 4; x++)
|
|
||||||
os << L" | " << m[y][x];
|
|
||||||
|
|
||||||
os << L" |" << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
return os;
|
|
||||||
}
|
|
||||||
}
|
|
@ -1,69 +0,0 @@
|
|||||||
#include "Eule/Random.h"
|
|
||||||
#include <array>
|
|
||||||
#include <algorithm>
|
|
||||||
|
|
||||||
namespace Leonetienne::Eule {
|
|
||||||
// Checks if the random number generator is initialized. Does nothing if it is, initializes if it isn't.
|
|
||||||
#define MAKE_SURE_RNG_IS_INITIALIZED if (!isRngInitialized) InitRng();
|
|
||||||
|
|
||||||
void Random::InitRng() {
|
|
||||||
// Create truly random source (from hardware events)
|
|
||||||
std::random_device randomSource;
|
|
||||||
|
|
||||||
// Generate enough truly random values to populate the entire state of the mersenne twister
|
|
||||||
std::array<int, std::mt19937::state_size> seedValues;
|
|
||||||
std::generate_n(seedValues.data(), seedValues.size(), std::ref(randomSource));
|
|
||||||
std::seed_seq seedSequence(seedValues.begin(), seedValues.end());
|
|
||||||
|
|
||||||
// Seed the mersenne twister with these values
|
|
||||||
rng = std::mt19937(seedSequence);
|
|
||||||
|
|
||||||
isRngInitialized = true;
|
|
||||||
|
|
||||||
return;
|
|
||||||
}
|
|
||||||
|
|
||||||
// Will return a random double between 0 and 1
|
|
||||||
double Random::RandomFloat() {
|
|
||||||
MAKE_SURE_RNG_IS_INITIALIZED;
|
|
||||||
|
|
||||||
return (rng() % 694206942069ll) / 694206942069.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
// Will return a random unsigned integer.
|
|
||||||
unsigned int Random::RandomUint() {
|
|
||||||
MAKE_SURE_RNG_IS_INITIALIZED;
|
|
||||||
|
|
||||||
return rng();
|
|
||||||
}
|
|
||||||
|
|
||||||
// Will return a random integer
|
|
||||||
unsigned int Random::RandomInt() {
|
|
||||||
MAKE_SURE_RNG_IS_INITIALIZED;
|
|
||||||
|
|
||||||
// Since this is supposed to return a random value anyways,
|
|
||||||
// we can let the random uint overflow without any problems.
|
|
||||||
return (int) rng();
|
|
||||||
}
|
|
||||||
|
|
||||||
// Will return a random double within a range
|
|
||||||
// These bounds are INCLUSIVE!
|
|
||||||
double Random::RandomRange(double min, double max) {
|
|
||||||
return (RandomFloat() * (max - min)) + min;
|
|
||||||
}
|
|
||||||
|
|
||||||
// Will return a random integer within a range. This is faster than '(int)RandomRange(x,y)'
|
|
||||||
// These bounds are INCLUSIVE!
|
|
||||||
int Random::RandomIntRange(int min, int max) {
|
|
||||||
MAKE_SURE_RNG_IS_INITIALIZED;
|
|
||||||
|
|
||||||
return (rng() % (max + 1 - min)) + min;
|
|
||||||
}
|
|
||||||
|
|
||||||
bool Random::RandomChance(const double chance) {
|
|
||||||
return RandomFloat() <= chance;
|
|
||||||
}
|
|
||||||
|
|
||||||
std::mt19937 Random::rng;
|
|
||||||
bool Random::isRngInitialized = false;
|
|
||||||
}
|
|
@ -1,5 +0,0 @@
|
|||||||
#pragma once
|
|
||||||
#define LARGE_RAND_DOUBLE (((long long int)(rng() % 6969000ll) - 3500000ll) / 1000.0)
|
|
||||||
#define LARGE_RAND_POSITIVE_DOUBLE (((rng() % 35000)) / 100.0)
|
|
||||||
#define LARGE_RAND_INT ((long long int)(rng() % 6969) - 3500ll)
|
|
||||||
#define LARGE_RAND_POSITIVE_INT ((rng() % 3500))
|
|
2
Eule/version.h
Normal file
2
Eule/version.h
Normal file
@ -0,0 +1,2 @@
|
|||||||
|
#pragma once
|
||||||
|
#define EULE_VERSION (0.11)
|
1285
INCLUDE/Eule.cpp
Normal file
1285
INCLUDE/Eule.cpp
Normal file
File diff suppressed because it is too large
Load Diff
3274
INCLUDE/Eule.h
Normal file
3274
INCLUDE/Eule.h
Normal file
File diff suppressed because it is too large
Load Diff
BIN
INCLUDE/deggl
Executable file
BIN
INCLUDE/deggl
Executable file
Binary file not shown.
8
INCLUDE/generate.sh
Executable file
8
INCLUDE/generate.sh
Executable file
@ -0,0 +1,8 @@
|
|||||||
|
# Build the include files
|
||||||
|
echo "Building the include files..."
|
||||||
|
./deggl -i ../Eule/*.cpp -o Eule
|
||||||
|
|
||||||
|
# Verify that they compile cleanly
|
||||||
|
# For simplicity, we'll test without intrisics enabled
|
||||||
|
echo "Verifying that they compile"
|
||||||
|
g++ Eule.cpp -c -S -std=c++17 -o - -Wall -Wextra -Wpedantic -mavx -D _EULE_NO_INTRINSICS_ > /dev/null
|
688
LICENSE
688
LICENSE
@ -1,674 +1,26 @@
|
|||||||
GNU GENERAL PUBLIC LICENSE
|
BSD 2-Clause License
|
||||||
Version 3, 29 June 2007
|
|
||||||
|
|
||||||
Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
|
Copyright (c) 2022, Leon Etienne
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
All rights reserved.
|
||||||
of this license document, but changing it is not allowed.
|
|
||||||
|
|
||||||
Preamble
|
Redistribution and use in source and binary forms, with or without
|
||||||
|
modification, are permitted provided that the following conditions are met:
|
||||||
|
|
||||||
The GNU General Public License is a free, copyleft license for
|
1. Redistributions of source code must retain the above copyright notice, this
|
||||||
software and other kinds of works.
|
list of conditions and the following disclaimer.
|
||||||
|
|
||||||
The licenses for most software and other practical works are designed
|
2. Redistributions in binary form must reproduce the above copyright notice,
|
||||||
to take away your freedom to share and change the works. By contrast,
|
this list of conditions and the following disclaimer in the documentation
|
||||||
the GNU General Public License is intended to guarantee your freedom to
|
and/or other materials provided with the distribution.
|
||||||
share and change all versions of a program--to make sure it remains free
|
|
||||||
software for all its users. We, the Free Software Foundation, use the
|
|
||||||
GNU General Public License for most of our software; it applies also to
|
|
||||||
any other work released this way by its authors. You can apply it to
|
|
||||||
your programs, too.
|
|
||||||
|
|
||||||
When we speak of free software, we are referring to freedom, not
|
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
||||||
price. Our General Public Licenses are designed to make sure that you
|
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||||
have the freedom to distribute copies of free software (and charge for
|
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
|
||||||
them if you wish), that you receive source code or can get it if you
|
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
|
||||||
want it, that you can change the software or use pieces of it in new
|
FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
||||||
free programs, and that you know you can do these things.
|
DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
|
||||||
|
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
||||||
|
CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
|
||||||
|
OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||||
|
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||||
|
|
||||||
To protect your rights, we need to prevent others from denying you
|
|
||||||
these rights or asking you to surrender the rights. Therefore, you have
|
|
||||||
certain responsibilities if you distribute copies of the software, or if
|
|
||||||
you modify it: responsibilities to respect the freedom of others.
|
|
||||||
|
|
||||||
For example, if you distribute copies of such a program, whether
|
|
||||||
gratis or for a fee, you must pass on to the recipients the same
|
|
||||||
freedoms that you received. You must make sure that they, too, receive
|
|
||||||
or can get the source code. And you must show them these terms so they
|
|
||||||
know their rights.
|
|
||||||
|
|
||||||
Developers that use the GNU GPL protect your rights with two steps:
|
|
||||||
(1) assert copyright on the software, and (2) offer you this License
|
|
||||||
giving you legal permission to copy, distribute and/or modify it.
|
|
||||||
|
|
||||||
For the developers' and authors' protection, the GPL clearly explains
|
|
||||||
that there is no warranty for this free software. For both users' and
|
|
||||||
authors' sake, the GPL requires that modified versions be marked as
|
|
||||||
changed, so that their problems will not be attributed erroneously to
|
|
||||||
authors of previous versions.
|
|
||||||
|
|
||||||
Some devices are designed to deny users access to install or run
|
|
||||||
modified versions of the software inside them, although the manufacturer
|
|
||||||
can do so. This is fundamentally incompatible with the aim of
|
|
||||||
protecting users' freedom to change the software. The systematic
|
|
||||||
pattern of such abuse occurs in the area of products for individuals to
|
|
||||||
use, which is precisely where it is most unacceptable. Therefore, we
|
|
||||||
have designed this version of the GPL to prohibit the practice for those
|
|
||||||
products. If such problems arise substantially in other domains, we
|
|
||||||
stand ready to extend this provision to those domains in future versions
|
|
||||||
of the GPL, as needed to protect the freedom of users.
|
|
||||||
|
|
||||||
Finally, every program is threatened constantly by software patents.
|
|
||||||
States should not allow patents to restrict development and use of
|
|
||||||
software on general-purpose computers, but in those that do, we wish to
|
|
||||||
avoid the special danger that patents applied to a free program could
|
|
||||||
make it effectively proprietary. To prevent this, the GPL assures that
|
|
||||||
patents cannot be used to render the program non-free.
|
|
||||||
|
|
||||||
The precise terms and conditions for copying, distribution and
|
|
||||||
modification follow.
|
|
||||||
|
|
||||||
TERMS AND CONDITIONS
|
|
||||||
|
|
||||||
0. Definitions.
|
|
||||||
|
|
||||||
"This License" refers to version 3 of the GNU General Public License.
|
|
||||||
|
|
||||||
"Copyright" also means copyright-like laws that apply to other kinds of
|
|
||||||
works, such as semiconductor masks.
|
|
||||||
|
|
||||||
"The Program" refers to any copyrightable work licensed under this
|
|
||||||
License. Each licensee is addressed as "you". "Licensees" and
|
|
||||||
"recipients" may be individuals or organizations.
|
|
||||||
|
|
||||||
To "modify" a work means to copy from or adapt all or part of the work
|
|
||||||
in a fashion requiring copyright permission, other than the making of an
|
|
||||||
exact copy. The resulting work is called a "modified version" of the
|
|
||||||
earlier work or a work "based on" the earlier work.
|
|
||||||
|
|
||||||
A "covered work" means either the unmodified Program or a work based
|
|
||||||
on the Program.
|
|
||||||
|
|
||||||
To "propagate" a work means to do anything with it that, without
|
|
||||||
permission, would make you directly or secondarily liable for
|
|
||||||
infringement under applicable copyright law, except executing it on a
|
|
||||||
computer or modifying a private copy. Propagation includes copying,
|
|
||||||
distribution (with or without modification), making available to the
|
|
||||||
public, and in some countries other activities as well.
|
|
||||||
|
|
||||||
To "convey" a work means any kind of propagation that enables other
|
|
||||||
parties to make or receive copies. Mere interaction with a user through
|
|
||||||
a computer network, with no transfer of a copy, is not conveying.
|
|
||||||
|
|
||||||
An interactive user interface displays "Appropriate Legal Notices"
|
|
||||||
to the extent that it includes a convenient and prominently visible
|
|
||||||
feature that (1) displays an appropriate copyright notice, and (2)
|
|
||||||
tells the user that there is no warranty for the work (except to the
|
|
||||||
extent that warranties are provided), that licensees may convey the
|
|
||||||
work under this License, and how to view a copy of this License. If
|
|
||||||
the interface presents a list of user commands or options, such as a
|
|
||||||
menu, a prominent item in the list meets this criterion.
|
|
||||||
|
|
||||||
1. Source Code.
|
|
||||||
|
|
||||||
The "source code" for a work means the preferred form of the work
|
|
||||||
for making modifications to it. "Object code" means any non-source
|
|
||||||
form of a work.
|
|
||||||
|
|
||||||
A "Standard Interface" means an interface that either is an official
|
|
||||||
standard defined by a recognized standards body, or, in the case of
|
|
||||||
interfaces specified for a particular programming language, one that
|
|
||||||
is widely used among developers working in that language.
|
|
||||||
|
|
||||||
The "System Libraries" of an executable work include anything, other
|
|
||||||
than the work as a whole, that (a) is included in the normal form of
|
|
||||||
packaging a Major Component, but which is not part of that Major
|
|
||||||
Component, and (b) serves only to enable use of the work with that
|
|
||||||
Major Component, or to implement a Standard Interface for which an
|
|
||||||
implementation is available to the public in source code form. A
|
|
||||||
"Major Component", in this context, means a major essential component
|
|
||||||
(kernel, window system, and so on) of the specific operating system
|
|
||||||
(if any) on which the executable work runs, or a compiler used to
|
|
||||||
produce the work, or an object code interpreter used to run it.
|
|
||||||
|
|
||||||
The "Corresponding Source" for a work in object code form means all
|
|
||||||
the source code needed to generate, install, and (for an executable
|
|
||||||
work) run the object code and to modify the work, including scripts to
|
|
||||||
control those activities. However, it does not include the work's
|
|
||||||
System Libraries, or general-purpose tools or generally available free
|
|
||||||
programs which are used unmodified in performing those activities but
|
|
||||||
which are not part of the work. For example, Corresponding Source
|
|
||||||
includes interface definition files associated with source files for
|
|
||||||
the work, and the source code for shared libraries and dynamically
|
|
||||||
linked subprograms that the work is specifically designed to require,
|
|
||||||
such as by intimate data communication or control flow between those
|
|
||||||
subprograms and other parts of the work.
|
|
||||||
|
|
||||||
The Corresponding Source need not include anything that users
|
|
||||||
can regenerate automatically from other parts of the Corresponding
|
|
||||||
Source.
|
|
||||||
|
|
||||||
The Corresponding Source for a work in source code form is that
|
|
||||||
same work.
|
|
||||||
|
|
||||||
2. Basic Permissions.
|
|
||||||
|
|
||||||
All rights granted under this License are granted for the term of
|
|
||||||
copyright on the Program, and are irrevocable provided the stated
|
|
||||||
conditions are met. This License explicitly affirms your unlimited
|
|
||||||
permission to run the unmodified Program. The output from running a
|
|
||||||
covered work is covered by this License only if the output, given its
|
|
||||||
content, constitutes a covered work. This License acknowledges your
|
|
||||||
rights of fair use or other equivalent, as provided by copyright law.
|
|
||||||
|
|
||||||
You may make, run and propagate covered works that you do not
|
|
||||||
convey, without conditions so long as your license otherwise remains
|
|
||||||
in force. You may convey covered works to others for the sole purpose
|
|
||||||
of having them make modifications exclusively for you, or provide you
|
|
||||||
with facilities for running those works, provided that you comply with
|
|
||||||
the terms of this License in conveying all material for which you do
|
|
||||||
not control copyright. Those thus making or running the covered works
|
|
||||||
for you must do so exclusively on your behalf, under your direction
|
|
||||||
and control, on terms that prohibit them from making any copies of
|
|
||||||
your copyrighted material outside their relationship with you.
|
|
||||||
|
|
||||||
Conveying under any other circumstances is permitted solely under
|
|
||||||
the conditions stated below. Sublicensing is not allowed; section 10
|
|
||||||
makes it unnecessary.
|
|
||||||
|
|
||||||
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
|
||||||
|
|
||||||
No covered work shall be deemed part of an effective technological
|
|
||||||
measure under any applicable law fulfilling obligations under article
|
|
||||||
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
|
||||||
similar laws prohibiting or restricting circumvention of such
|
|
||||||
measures.
|
|
||||||
|
|
||||||
When you convey a covered work, you waive any legal power to forbid
|
|
||||||
circumvention of technological measures to the extent such circumvention
|
|
||||||
is effected by exercising rights under this License with respect to
|
|
||||||
the covered work, and you disclaim any intention to limit operation or
|
|
||||||
modification of the work as a means of enforcing, against the work's
|
|
||||||
users, your or third parties' legal rights to forbid circumvention of
|
|
||||||
technological measures.
|
|
||||||
|
|
||||||
4. Conveying Verbatim Copies.
|
|
||||||
|
|
||||||
You may convey verbatim copies of the Program's source code as you
|
|
||||||
receive it, in any medium, provided that you conspicuously and
|
|
||||||
appropriately publish on each copy an appropriate copyright notice;
|
|
||||||
keep intact all notices stating that this License and any
|
|
||||||
non-permissive terms added in accord with section 7 apply to the code;
|
|
||||||
keep intact all notices of the absence of any warranty; and give all
|
|
||||||
recipients a copy of this License along with the Program.
|
|
||||||
|
|
||||||
You may charge any price or no price for each copy that you convey,
|
|
||||||
and you may offer support or warranty protection for a fee.
|
|
||||||
|
|
||||||
5. Conveying Modified Source Versions.
|
|
||||||
|
|
||||||
You may convey a work based on the Program, or the modifications to
|
|
||||||
produce it from the Program, in the form of source code under the
|
|
||||||
terms of section 4, provided that you also meet all of these conditions:
|
|
||||||
|
|
||||||
a) The work must carry prominent notices stating that you modified
|
|
||||||
it, and giving a relevant date.
|
|
||||||
|
|
||||||
b) The work must carry prominent notices stating that it is
|
|
||||||
released under this License and any conditions added under section
|
|
||||||
7. This requirement modifies the requirement in section 4 to
|
|
||||||
"keep intact all notices".
|
|
||||||
|
|
||||||
c) You must license the entire work, as a whole, under this
|
|
||||||
License to anyone who comes into possession of a copy. This
|
|
||||||
License will therefore apply, along with any applicable section 7
|
|
||||||
additional terms, to the whole of the work, and all its parts,
|
|
||||||
regardless of how they are packaged. This License gives no
|
|
||||||
permission to license the work in any other way, but it does not
|
|
||||||
invalidate such permission if you have separately received it.
|
|
||||||
|
|
||||||
d) If the work has interactive user interfaces, each must display
|
|
||||||
Appropriate Legal Notices; however, if the Program has interactive
|
|
||||||
interfaces that do not display Appropriate Legal Notices, your
|
|
||||||
work need not make them do so.
|
|
||||||
|
|
||||||
A compilation of a covered work with other separate and independent
|
|
||||||
works, which are not by their nature extensions of the covered work,
|
|
||||||
and which are not combined with it such as to form a larger program,
|
|
||||||
in or on a volume of a storage or distribution medium, is called an
|
|
||||||
"aggregate" if the compilation and its resulting copyright are not
|
|
||||||
used to limit the access or legal rights of the compilation's users
|
|
||||||
beyond what the individual works permit. Inclusion of a covered work
|
|
||||||
in an aggregate does not cause this License to apply to the other
|
|
||||||
parts of the aggregate.
|
|
||||||
|
|
||||||
6. Conveying Non-Source Forms.
|
|
||||||
|
|
||||||
You may convey a covered work in object code form under the terms
|
|
||||||
of sections 4 and 5, provided that you also convey the
|
|
||||||
machine-readable Corresponding Source under the terms of this License,
|
|
||||||
in one of these ways:
|
|
||||||
|
|
||||||
a) Convey the object code in, or embodied in, a physical product
|
|
||||||
(including a physical distribution medium), accompanied by the
|
|
||||||
Corresponding Source fixed on a durable physical medium
|
|
||||||
customarily used for software interchange.
|
|
||||||
|
|
||||||
b) Convey the object code in, or embodied in, a physical product
|
|
||||||
(including a physical distribution medium), accompanied by a
|
|
||||||
written offer, valid for at least three years and valid for as
|
|
||||||
long as you offer spare parts or customer support for that product
|
|
||||||
model, to give anyone who possesses the object code either (1) a
|
|
||||||
copy of the Corresponding Source for all the software in the
|
|
||||||
product that is covered by this License, on a durable physical
|
|
||||||
medium customarily used for software interchange, for a price no
|
|
||||||
more than your reasonable cost of physically performing this
|
|
||||||
conveying of source, or (2) access to copy the
|
|
||||||
Corresponding Source from a network server at no charge.
|
|
||||||
|
|
||||||
c) Convey individual copies of the object code with a copy of the
|
|
||||||
written offer to provide the Corresponding Source. This
|
|
||||||
alternative is allowed only occasionally and noncommercially, and
|
|
||||||
only if you received the object code with such an offer, in accord
|
|
||||||
with subsection 6b.
|
|
||||||
|
|
||||||
d) Convey the object code by offering access from a designated
|
|
||||||
place (gratis or for a charge), and offer equivalent access to the
|
|
||||||
Corresponding Source in the same way through the same place at no
|
|
||||||
further charge. You need not require recipients to copy the
|
|
||||||
Corresponding Source along with the object code. If the place to
|
|
||||||
copy the object code is a network server, the Corresponding Source
|
|
||||||
may be on a different server (operated by you or a third party)
|
|
||||||
that supports equivalent copying facilities, provided you maintain
|
|
||||||
clear directions next to the object code saying where to find the
|
|
||||||
Corresponding Source. Regardless of what server hosts the
|
|
||||||
Corresponding Source, you remain obligated to ensure that it is
|
|
||||||
available for as long as needed to satisfy these requirements.
|
|
||||||
|
|
||||||
e) Convey the object code using peer-to-peer transmission, provided
|
|
||||||
you inform other peers where the object code and Corresponding
|
|
||||||
Source of the work are being offered to the general public at no
|
|
||||||
charge under subsection 6d.
|
|
||||||
|
|
||||||
A separable portion of the object code, whose source code is excluded
|
|
||||||
from the Corresponding Source as a System Library, need not be
|
|
||||||
included in conveying the object code work.
|
|
||||||
|
|
||||||
A "User Product" is either (1) a "consumer product", which means any
|
|
||||||
tangible personal property which is normally used for personal, family,
|
|
||||||
or household purposes, or (2) anything designed or sold for incorporation
|
|
||||||
into a dwelling. In determining whether a product is a consumer product,
|
|
||||||
doubtful cases shall be resolved in favor of coverage. For a particular
|
|
||||||
product received by a particular user, "normally used" refers to a
|
|
||||||
typical or common use of that class of product, regardless of the status
|
|
||||||
of the particular user or of the way in which the particular user
|
|
||||||
actually uses, or expects or is expected to use, the product. A product
|
|
||||||
is a consumer product regardless of whether the product has substantial
|
|
||||||
commercial, industrial or non-consumer uses, unless such uses represent
|
|
||||||
the only significant mode of use of the product.
|
|
||||||
|
|
||||||
"Installation Information" for a User Product means any methods,
|
|
||||||
procedures, authorization keys, or other information required to install
|
|
||||||
and execute modified versions of a covered work in that User Product from
|
|
||||||
a modified version of its Corresponding Source. The information must
|
|
||||||
suffice to ensure that the continued functioning of the modified object
|
|
||||||
code is in no case prevented or interfered with solely because
|
|
||||||
modification has been made.
|
|
||||||
|
|
||||||
If you convey an object code work under this section in, or with, or
|
|
||||||
specifically for use in, a User Product, and the conveying occurs as
|
|
||||||
part of a transaction in which the right of possession and use of the
|
|
||||||
User Product is transferred to the recipient in perpetuity or for a
|
|
||||||
fixed term (regardless of how the transaction is characterized), the
|
|
||||||
Corresponding Source conveyed under this section must be accompanied
|
|
||||||
by the Installation Information. But this requirement does not apply
|
|
||||||
if neither you nor any third party retains the ability to install
|
|
||||||
modified object code on the User Product (for example, the work has
|
|
||||||
been installed in ROM).
|
|
||||||
|
|
||||||
The requirement to provide Installation Information does not include a
|
|
||||||
requirement to continue to provide support service, warranty, or updates
|
|
||||||
for a work that has been modified or installed by the recipient, or for
|
|
||||||
the User Product in which it has been modified or installed. Access to a
|
|
||||||
network may be denied when the modification itself materially and
|
|
||||||
adversely affects the operation of the network or violates the rules and
|
|
||||||
protocols for communication across the network.
|
|
||||||
|
|
||||||
Corresponding Source conveyed, and Installation Information provided,
|
|
||||||
in accord with this section must be in a format that is publicly
|
|
||||||
documented (and with an implementation available to the public in
|
|
||||||
source code form), and must require no special password or key for
|
|
||||||
unpacking, reading or copying.
|
|
||||||
|
|
||||||
7. Additional Terms.
|
|
||||||
|
|
||||||
"Additional permissions" are terms that supplement the terms of this
|
|
||||||
License by making exceptions from one or more of its conditions.
|
|
||||||
Additional permissions that are applicable to the entire Program shall
|
|
||||||
be treated as though they were included in this License, to the extent
|
|
||||||
that they are valid under applicable law. If additional permissions
|
|
||||||
apply only to part of the Program, that part may be used separately
|
|
||||||
under those permissions, but the entire Program remains governed by
|
|
||||||
this License without regard to the additional permissions.
|
|
||||||
|
|
||||||
When you convey a copy of a covered work, you may at your option
|
|
||||||
remove any additional permissions from that copy, or from any part of
|
|
||||||
it. (Additional permissions may be written to require their own
|
|
||||||
removal in certain cases when you modify the work.) You may place
|
|
||||||
additional permissions on material, added by you to a covered work,
|
|
||||||
for which you have or can give appropriate copyright permission.
|
|
||||||
|
|
||||||
Notwithstanding any other provision of this License, for material you
|
|
||||||
add to a covered work, you may (if authorized by the copyright holders of
|
|
||||||
that material) supplement the terms of this License with terms:
|
|
||||||
|
|
||||||
a) Disclaiming warranty or limiting liability differently from the
|
|
||||||
terms of sections 15 and 16 of this License; or
|
|
||||||
|
|
||||||
b) Requiring preservation of specified reasonable legal notices or
|
|
||||||
author attributions in that material or in the Appropriate Legal
|
|
||||||
Notices displayed by works containing it; or
|
|
||||||
|
|
||||||
c) Prohibiting misrepresentation of the origin of that material, or
|
|
||||||
requiring that modified versions of such material be marked in
|
|
||||||
reasonable ways as different from the original version; or
|
|
||||||
|
|
||||||
d) Limiting the use for publicity purposes of names of licensors or
|
|
||||||
authors of the material; or
|
|
||||||
|
|
||||||
e) Declining to grant rights under trademark law for use of some
|
|
||||||
trade names, trademarks, or service marks; or
|
|
||||||
|
|
||||||
f) Requiring indemnification of licensors and authors of that
|
|
||||||
material by anyone who conveys the material (or modified versions of
|
|
||||||
it) with contractual assumptions of liability to the recipient, for
|
|
||||||
any liability that these contractual assumptions directly impose on
|
|
||||||
those licensors and authors.
|
|
||||||
|
|
||||||
All other non-permissive additional terms are considered "further
|
|
||||||
restrictions" within the meaning of section 10. If the Program as you
|
|
||||||
received it, or any part of it, contains a notice stating that it is
|
|
||||||
governed by this License along with a term that is a further
|
|
||||||
restriction, you may remove that term. If a license document contains
|
|
||||||
a further restriction but permits relicensing or conveying under this
|
|
||||||
License, you may add to a covered work material governed by the terms
|
|
||||||
of that license document, provided that the further restriction does
|
|
||||||
not survive such relicensing or conveying.
|
|
||||||
|
|
||||||
If you add terms to a covered work in accord with this section, you
|
|
||||||
must place, in the relevant source files, a statement of the
|
|
||||||
additional terms that apply to those files, or a notice indicating
|
|
||||||
where to find the applicable terms.
|
|
||||||
|
|
||||||
Additional terms, permissive or non-permissive, may be stated in the
|
|
||||||
form of a separately written license, or stated as exceptions;
|
|
||||||
the above requirements apply either way.
|
|
||||||
|
|
||||||
8. Termination.
|
|
||||||
|
|
||||||
You may not propagate or modify a covered work except as expressly
|
|
||||||
provided under this License. Any attempt otherwise to propagate or
|
|
||||||
modify it is void, and will automatically terminate your rights under
|
|
||||||
this License (including any patent licenses granted under the third
|
|
||||||
paragraph of section 11).
|
|
||||||
|
|
||||||
However, if you cease all violation of this License, then your
|
|
||||||
license from a particular copyright holder is reinstated (a)
|
|
||||||
provisionally, unless and until the copyright holder explicitly and
|
|
||||||
finally terminates your license, and (b) permanently, if the copyright
|
|
||||||
holder fails to notify you of the violation by some reasonable means
|
|
||||||
prior to 60 days after the cessation.
|
|
||||||
|
|
||||||
Moreover, your license from a particular copyright holder is
|
|
||||||
reinstated permanently if the copyright holder notifies you of the
|
|
||||||
violation by some reasonable means, this is the first time you have
|
|
||||||
received notice of violation of this License (for any work) from that
|
|
||||||
copyright holder, and you cure the violation prior to 30 days after
|
|
||||||
your receipt of the notice.
|
|
||||||
|
|
||||||
Termination of your rights under this section does not terminate the
|
|
||||||
licenses of parties who have received copies or rights from you under
|
|
||||||
this License. If your rights have been terminated and not permanently
|
|
||||||
reinstated, you do not qualify to receive new licenses for the same
|
|
||||||
material under section 10.
|
|
||||||
|
|
||||||
9. Acceptance Not Required for Having Copies.
|
|
||||||
|
|
||||||
You are not required to accept this License in order to receive or
|
|
||||||
run a copy of the Program. Ancillary propagation of a covered work
|
|
||||||
occurring solely as a consequence of using peer-to-peer transmission
|
|
||||||
to receive a copy likewise does not require acceptance. However,
|
|
||||||
nothing other than this License grants you permission to propagate or
|
|
||||||
modify any covered work. These actions infringe copyright if you do
|
|
||||||
not accept this License. Therefore, by modifying or propagating a
|
|
||||||
covered work, you indicate your acceptance of this License to do so.
|
|
||||||
|
|
||||||
10. Automatic Licensing of Downstream Recipients.
|
|
||||||
|
|
||||||
Each time you convey a covered work, the recipient automatically
|
|
||||||
receives a license from the original licensors, to run, modify and
|
|
||||||
propagate that work, subject to this License. You are not responsible
|
|
||||||
for enforcing compliance by third parties with this License.
|
|
||||||
|
|
||||||
An "entity transaction" is a transaction transferring control of an
|
|
||||||
organization, or substantially all assets of one, or subdividing an
|
|
||||||
organization, or merging organizations. If propagation of a covered
|
|
||||||
work results from an entity transaction, each party to that
|
|
||||||
transaction who receives a copy of the work also receives whatever
|
|
||||||
licenses to the work the party's predecessor in interest had or could
|
|
||||||
give under the previous paragraph, plus a right to possession of the
|
|
||||||
Corresponding Source of the work from the predecessor in interest, if
|
|
||||||
the predecessor has it or can get it with reasonable efforts.
|
|
||||||
|
|
||||||
You may not impose any further restrictions on the exercise of the
|
|
||||||
rights granted or affirmed under this License. For example, you may
|
|
||||||
not impose a license fee, royalty, or other charge for exercise of
|
|
||||||
rights granted under this License, and you may not initiate litigation
|
|
||||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
|
||||||
any patent claim is infringed by making, using, selling, offering for
|
|
||||||
sale, or importing the Program or any portion of it.
|
|
||||||
|
|
||||||
11. Patents.
|
|
||||||
|
|
||||||
A "contributor" is a copyright holder who authorizes use under this
|
|
||||||
License of the Program or a work on which the Program is based. The
|
|
||||||
work thus licensed is called the contributor's "contributor version".
|
|
||||||
|
|
||||||
A contributor's "essential patent claims" are all patent claims
|
|
||||||
owned or controlled by the contributor, whether already acquired or
|
|
||||||
hereafter acquired, that would be infringed by some manner, permitted
|
|
||||||
by this License, of making, using, or selling its contributor version,
|
|
||||||
but do not include claims that would be infringed only as a
|
|
||||||
consequence of further modification of the contributor version. For
|
|
||||||
purposes of this definition, "control" includes the right to grant
|
|
||||||
patent sublicenses in a manner consistent with the requirements of
|
|
||||||
this License.
|
|
||||||
|
|
||||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
|
||||||
patent license under the contributor's essential patent claims, to
|
|
||||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
|
||||||
propagate the contents of its contributor version.
|
|
||||||
|
|
||||||
In the following three paragraphs, a "patent license" is any express
|
|
||||||
agreement or commitment, however denominated, not to enforce a patent
|
|
||||||
(such as an express permission to practice a patent or covenant not to
|
|
||||||
sue for patent infringement). To "grant" such a patent license to a
|
|
||||||
party means to make such an agreement or commitment not to enforce a
|
|
||||||
patent against the party.
|
|
||||||
|
|
||||||
If you convey a covered work, knowingly relying on a patent license,
|
|
||||||
and the Corresponding Source of the work is not available for anyone
|
|
||||||
to copy, free of charge and under the terms of this License, through a
|
|
||||||
publicly available network server or other readily accessible means,
|
|
||||||
then you must either (1) cause the Corresponding Source to be so
|
|
||||||
available, or (2) arrange to deprive yourself of the benefit of the
|
|
||||||
patent license for this particular work, or (3) arrange, in a manner
|
|
||||||
consistent with the requirements of this License, to extend the patent
|
|
||||||
license to downstream recipients. "Knowingly relying" means you have
|
|
||||||
actual knowledge that, but for the patent license, your conveying the
|
|
||||||
covered work in a country, or your recipient's use of the covered work
|
|
||||||
in a country, would infringe one or more identifiable patents in that
|
|
||||||
country that you have reason to believe are valid.
|
|
||||||
|
|
||||||
If, pursuant to or in connection with a single transaction or
|
|
||||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
|
||||||
covered work, and grant a patent license to some of the parties
|
|
||||||
receiving the covered work authorizing them to use, propagate, modify
|
|
||||||
or convey a specific copy of the covered work, then the patent license
|
|
||||||
you grant is automatically extended to all recipients of the covered
|
|
||||||
work and works based on it.
|
|
||||||
|
|
||||||
A patent license is "discriminatory" if it does not include within
|
|
||||||
the scope of its coverage, prohibits the exercise of, or is
|
|
||||||
conditioned on the non-exercise of one or more of the rights that are
|
|
||||||
specifically granted under this License. You may not convey a covered
|
|
||||||
work if you are a party to an arrangement with a third party that is
|
|
||||||
in the business of distributing software, under which you make payment
|
|
||||||
to the third party based on the extent of your activity of conveying
|
|
||||||
the work, and under which the third party grants, to any of the
|
|
||||||
parties who would receive the covered work from you, a discriminatory
|
|
||||||
patent license (a) in connection with copies of the covered work
|
|
||||||
conveyed by you (or copies made from those copies), or (b) primarily
|
|
||||||
for and in connection with specific products or compilations that
|
|
||||||
contain the covered work, unless you entered into that arrangement,
|
|
||||||
or that patent license was granted, prior to 28 March 2007.
|
|
||||||
|
|
||||||
Nothing in this License shall be construed as excluding or limiting
|
|
||||||
any implied license or other defenses to infringement that may
|
|
||||||
otherwise be available to you under applicable patent law.
|
|
||||||
|
|
||||||
12. No Surrender of Others' Freedom.
|
|
||||||
|
|
||||||
If conditions are imposed on you (whether by court order, agreement or
|
|
||||||
otherwise) that contradict the conditions of this License, they do not
|
|
||||||
excuse you from the conditions of this License. If you cannot convey a
|
|
||||||
covered work so as to satisfy simultaneously your obligations under this
|
|
||||||
License and any other pertinent obligations, then as a consequence you may
|
|
||||||
not convey it at all. For example, if you agree to terms that obligate you
|
|
||||||
to collect a royalty for further conveying from those to whom you convey
|
|
||||||
the Program, the only way you could satisfy both those terms and this
|
|
||||||
License would be to refrain entirely from conveying the Program.
|
|
||||||
|
|
||||||
13. Use with the GNU Affero General Public License.
|
|
||||||
|
|
||||||
Notwithstanding any other provision of this License, you have
|
|
||||||
permission to link or combine any covered work with a work licensed
|
|
||||||
under version 3 of the GNU Affero General Public License into a single
|
|
||||||
combined work, and to convey the resulting work. The terms of this
|
|
||||||
License will continue to apply to the part which is the covered work,
|
|
||||||
but the special requirements of the GNU Affero General Public License,
|
|
||||||
section 13, concerning interaction through a network will apply to the
|
|
||||||
combination as such.
|
|
||||||
|
|
||||||
14. Revised Versions of this License.
|
|
||||||
|
|
||||||
The Free Software Foundation may publish revised and/or new versions of
|
|
||||||
the GNU General Public License from time to time. Such new versions will
|
|
||||||
be similar in spirit to the present version, but may differ in detail to
|
|
||||||
address new problems or concerns.
|
|
||||||
|
|
||||||
Each version is given a distinguishing version number. If the
|
|
||||||
Program specifies that a certain numbered version of the GNU General
|
|
||||||
Public License "or any later version" applies to it, you have the
|
|
||||||
option of following the terms and conditions either of that numbered
|
|
||||||
version or of any later version published by the Free Software
|
|
||||||
Foundation. If the Program does not specify a version number of the
|
|
||||||
GNU General Public License, you may choose any version ever published
|
|
||||||
by the Free Software Foundation.
|
|
||||||
|
|
||||||
If the Program specifies that a proxy can decide which future
|
|
||||||
versions of the GNU General Public License can be used, that proxy's
|
|
||||||
public statement of acceptance of a version permanently authorizes you
|
|
||||||
to choose that version for the Program.
|
|
||||||
|
|
||||||
Later license versions may give you additional or different
|
|
||||||
permissions. However, no additional obligations are imposed on any
|
|
||||||
author or copyright holder as a result of your choosing to follow a
|
|
||||||
later version.
|
|
||||||
|
|
||||||
15. Disclaimer of Warranty.
|
|
||||||
|
|
||||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
|
||||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
|
||||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
|
||||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
|
||||||
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
||||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
|
||||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
|
||||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
16. Limitation of Liability.
|
|
||||||
|
|
||||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
|
||||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
|
||||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
|
||||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
|
||||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
|
||||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
|
||||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
|
||||||
SUCH DAMAGES.
|
|
||||||
|
|
||||||
17. Interpretation of Sections 15 and 16.
|
|
||||||
|
|
||||||
If the disclaimer of warranty and limitation of liability provided
|
|
||||||
above cannot be given local legal effect according to their terms,
|
|
||||||
reviewing courts shall apply local law that most closely approximates
|
|
||||||
an absolute waiver of all civil liability in connection with the
|
|
||||||
Program, unless a warranty or assumption of liability accompanies a
|
|
||||||
copy of the Program in return for a fee.
|
|
||||||
|
|
||||||
END OF TERMS AND CONDITIONS
|
|
||||||
|
|
||||||
How to Apply These Terms to Your New Programs
|
|
||||||
|
|
||||||
If you develop a new program, and you want it to be of the greatest
|
|
||||||
possible use to the public, the best way to achieve this is to make it
|
|
||||||
free software which everyone can redistribute and change under these terms.
|
|
||||||
|
|
||||||
To do so, attach the following notices to the program. It is safest
|
|
||||||
to attach them to the start of each source file to most effectively
|
|
||||||
state the exclusion of warranty; and each file should have at least
|
|
||||||
the "copyright" line and a pointer to where the full notice is found.
|
|
||||||
|
|
||||||
<one line to give the program's name and a brief idea of what it does.>
|
|
||||||
Copyright (C) <year> <name of author>
|
|
||||||
|
|
||||||
This program is free software: you can redistribute it and/or modify
|
|
||||||
it under the terms of the GNU General Public License as published by
|
|
||||||
the Free Software Foundation, either version 3 of the License, or
|
|
||||||
(at your option) any later version.
|
|
||||||
|
|
||||||
This program is distributed in the hope that it will be useful,
|
|
||||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
||||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
||||||
GNU General Public License for more details.
|
|
||||||
|
|
||||||
You should have received a copy of the GNU General Public License
|
|
||||||
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
|
||||||
|
|
||||||
Also add information on how to contact you by electronic and paper mail.
|
|
||||||
|
|
||||||
If the program does terminal interaction, make it output a short
|
|
||||||
notice like this when it starts in an interactive mode:
|
|
||||||
|
|
||||||
<program> Copyright (C) <year> <name of author>
|
|
||||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
|
||||||
This is free software, and you are welcome to redistribute it
|
|
||||||
under certain conditions; type `show c' for details.
|
|
||||||
|
|
||||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
|
||||||
parts of the General Public License. Of course, your program's commands
|
|
||||||
might be different; for a GUI interface, you would use an "about box".
|
|
||||||
|
|
||||||
You should also get your employer (if you work as a programmer) or school,
|
|
||||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
|
||||||
For more information on this, and how to apply and follow the GNU GPL, see
|
|
||||||
<http://www.gnu.org/licenses/>.
|
|
||||||
|
|
||||||
The GNU General Public License does not permit incorporating your program
|
|
||||||
into proprietary programs. If your program is a subroutine library, you
|
|
||||||
may consider it more useful to permit linking proprietary applications with
|
|
||||||
the library. If this is what you want to do, use the GNU Lesser General
|
|
||||||
Public License instead of this License. But first, please read
|
|
||||||
<http://www.gnu.org/philosophy/why-not-lgpl.html>.
|
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* -- value > 0
|
* -- value > 0
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* -- min < v < max -> v
|
* -- min < v < max -> v
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* -- a < b, 0 < t < 1 -> a < result < b
|
* -- a < b, 0 < t < 1 -> a < result < b
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* -- a < b
|
* -- a < b
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* -- min < v < max
|
* -- min < v < max
|
@ -2,7 +2,7 @@
|
|||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include <stdexcept>
|
#include <stdexcept>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
/** Equivalence classes:
|
/** Equivalence classes:
|
||||||
* a -> numerator
|
* a -> numerator
|
@ -1,10 +1,10 @@
|
|||||||
#include "TestingUtilities/Testutil.h"
|
#include "../_TestingUtilities/Testutil.h"
|
||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Random.h>
|
#include <Eule/Random.h>
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include <Eule/Constants.h>
|
#include <Eule/Constants.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that an oscillation of speed 1 between -1 and 1 is just equal to sin(counter*pi-pi/2)
|
// Checks that an oscillation of speed 1 between -1 and 1 is just equal to sin(counter*pi-pi/2)
|
||||||
TEST_CASE(__FILE__"/Oracle_Sin", "[Math][Oscillate]")
|
TEST_CASE(__FILE__"/Oracle_Sin", "[Math][Oscillate]")
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that the similar function works with an exact comparison -> true
|
// Checks that the similar function works with an exact comparison -> true
|
||||||
TEST_CASE(__FILE__"/Exact_Comparison_True", "[Math][Similar]")
|
TEST_CASE(__FILE__"/Exact_Comparison_True", "[Math][Similar]")
|
@ -1,10 +1,10 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Matrix4x4.h>
|
#include <Eule/Matrix4x4.h>
|
||||||
#include <Eule/Vector3.h>
|
#include <Eule/Vector3.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include "../_TestingUtilities/HandyMacros.h"
|
||||||
#include <random>
|
#include <random>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
@ -1,11 +1,11 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Quaternion.h>
|
#include <Eule/Quaternion.h>
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include "../_TestingUtilities/HandyMacros.h"
|
||||||
#include <random>
|
#include <random>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
@ -1,10 +1,10 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include "TestingUtilities/Testutil.h"
|
#include "../_TestingUtilities/Testutil.h"
|
||||||
#include <Eule/Random.h>
|
#include <Eule/Random.h>
|
||||||
#include <array>
|
#include <array>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that a random integer is never outside the specification, two positive values
|
// Checks that a random integer is never outside the specification, two positive values
|
||||||
TEST_CASE(__FILE__"/Never_Outside_Specification__pos__pos", "[Random][RandomIntRange]")
|
TEST_CASE(__FILE__"/Never_Outside_Specification__pos__pos", "[Random][RandomIntRange]")
|
@ -1,7 +1,7 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Random.h>
|
#include <Eule/Random.h>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that all values are always 0 <= v <= 1
|
// Checks that all values are always 0 <= v <= 1
|
||||||
TEST_CASE(__FILE__"/Always_Satisfies_0_lt_v_lt_1", "[Random][RandomFloat]")
|
TEST_CASE(__FILE__"/Always_Satisfies_0_lt_v_lt_1", "[Random][RandomFloat]")
|
@ -1,9 +1,9 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include "TestingUtilities/Testutil.h"
|
#include "../_TestingUtilities/Testutil.h"
|
||||||
#include <Eule/Random.h>
|
#include <Eule/Random.h>
|
||||||
#include <array>
|
#include <array>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that the produced unsigned-integer distribution shows a big standard deviation
|
// Checks that the produced unsigned-integer distribution shows a big standard deviation
|
||||||
TEST_CASE(__FILE__"/Uint_Big_Standard_Deviation", "[Random][RandomInt]")
|
TEST_CASE(__FILE__"/Uint_Big_Standard_Deviation", "[Random][RandomInt]")
|
@ -1,9 +1,9 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include "TestingUtilities/Testutil.h"
|
#include "../_TestingUtilities/Testutil.h"
|
||||||
#include <Eule/Random.h>
|
#include <Eule/Random.h>
|
||||||
#include <array>
|
#include <array>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
// Checks that a random double is never outside the specification, two positive values
|
// Checks that a random double is never outside the specification, two positive values
|
||||||
TEST_CASE(__FILE__"/Random_Doublerange_Never_Outside_Specification__pos__pos", "[Random][RandomRange]")
|
TEST_CASE(__FILE__"/Random_Doublerange_Never_Outside_Specification__pos__pos", "[Random][RandomRange]")
|
@ -4,7 +4,7 @@
|
|||||||
#include <random>
|
#include <random>
|
||||||
#include <array>
|
#include <array>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
using TPC = TrapazoidalPrismCollider;
|
using TPC = TrapazoidalPrismCollider;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
@ -1,11 +1,11 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Vector2.h>
|
#include <Eule/Vector2.h>
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include "../_TestingUtilities/HandyMacros.h"
|
||||||
#include <random>
|
#include <random>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
||||||
@ -251,7 +251,7 @@ TEST_CASE(__FILE__"/CrossProduct_Opposite_Direction", "[Vector][Vector2]")
|
|||||||
Vector2d a = Vector2d( x, y) * (LARGE_RAND_DOUBLE / 1000.0);
|
Vector2d a = Vector2d( x, y) * (LARGE_RAND_DOUBLE / 1000.0);
|
||||||
Vector2d b = Vector2d(-x, -y) * (LARGE_RAND_DOUBLE / 1000.0);
|
Vector2d b = Vector2d(-x, -y) * (LARGE_RAND_DOUBLE / 1000.0);
|
||||||
|
|
||||||
INFO(a << " CROSS " << b << " = " << a.CrossProduct(b) << " in iteration #" << i << ". Shared x and y are: [" << x << ", " << y << "]");
|
INFO(a << " CROSS " << b << " = " << a.CrossProduct(b));
|
||||||
REQUIRE(Math::Similar(a.CrossProduct(b), 0.0, 10));
|
REQUIRE(Math::Similar(a.CrossProduct(b), 0.0, 10));
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -287,14 +287,15 @@ TEST_CASE(__FILE__"/CrossProduct_BToTheLeft", "[Vector][Vector2]")
|
|||||||
for (std::size_t i = 0; i < 1000; i++)
|
for (std::size_t i = 0; i < 1000; i++)
|
||||||
{
|
{
|
||||||
double x = LARGE_RAND_DOUBLE;
|
double x = LARGE_RAND_DOUBLE;
|
||||||
double y = LARGE_RAND_POSITIVE_DOUBLE; // The dot product also flips if both points are negative in height.. let's keep it positive.
|
double y = LARGE_RAND_DOUBLE;
|
||||||
if (x == 0) x++;
|
if (x == 0) x++;
|
||||||
if (y == 0) y++;
|
if (y == 0) y++;
|
||||||
|
|
||||||
Vector2d a = Vector2d(x, y);
|
// Vector length should not matter, so randomize it
|
||||||
Vector2d b = Vector2d(x - (rng() % 6969ll + 1.0), y);
|
Vector2d a = Vector2d(x, y) * (rng() % 6969 + 1.0);
|
||||||
|
Vector2d b = Vector2d(x - (rng() % 6969 + 1.0), y) * (rng() % 6969 + 1.0);
|
||||||
|
|
||||||
INFO(a << " CROSS " << b << " = " << a.CrossProduct(b) << " in iteration #" << i );
|
INFO(a << " CROSS " << b << " = " << a.CrossProduct(b));
|
||||||
REQUIRE(a.CrossProduct(b) > 0);
|
REQUIRE(a.CrossProduct(b) > 0);
|
||||||
}
|
}
|
||||||
|
|
||||||
@ -308,12 +309,13 @@ TEST_CASE(__FILE__"/CrossProduct_BToTheRight", "[Vector][Vector2]")
|
|||||||
for (std::size_t i = 0; i < 1000; i++)
|
for (std::size_t i = 0; i < 1000; i++)
|
||||||
{
|
{
|
||||||
double x = LARGE_RAND_DOUBLE;
|
double x = LARGE_RAND_DOUBLE;
|
||||||
double y = LARGE_RAND_POSITIVE_DOUBLE; // The dot product also flips if both points are negative in height.. let's keep it positive.
|
double y = LARGE_RAND_DOUBLE;
|
||||||
if (x == 0) x++;
|
if (x == 0) x++;
|
||||||
if (y == 0) y++;
|
if (y == 0) y++;
|
||||||
|
|
||||||
Vector2d a = Vector2d(x, y);
|
// Vector length should not matter, so randomize it
|
||||||
Vector2d b = Vector2d(x + (rng() % 6969ll + 1.0), y);
|
Vector2d a = Vector2d(x, y) * (rng() % 6969 + 1.0);
|
||||||
|
Vector2d b = Vector2d(x + (rng() % 6969 + 1.0), y) * (rng() % 6969 + 1.0);
|
||||||
|
|
||||||
INFO(a << L" CROSS " << b << L" = " << a.CrossProduct(b))
|
INFO(a << L" CROSS " << b << L" = " << a.CrossProduct(b))
|
||||||
REQUIRE(a.CrossProduct(b) < 0);
|
REQUIRE(a.CrossProduct(b) < 0);
|
@ -1,10 +1,10 @@
|
|||||||
#include "Catch2.h"
|
#include "Catch2.h"
|
||||||
#include <Eule/Vector3.h>
|
#include <Eule/Vector3.h>
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include "../_TestingUtilities/HandyMacros.h"
|
||||||
#include <random>
|
#include <random>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
@ -2,10 +2,10 @@
|
|||||||
#include <Eule/Vector4.h>
|
#include <Eule/Vector4.h>
|
||||||
#include <Eule/Matrix4x4.h>
|
#include <Eule/Matrix4x4.h>
|
||||||
#include <Eule/Math.h>
|
#include <Eule/Math.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include <_TestingUtilities/HandyMacros.h>
|
||||||
#include <random>
|
#include <random>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
@ -2,11 +2,11 @@
|
|||||||
#include <Eule/Vector2.h>
|
#include <Eule/Vector2.h>
|
||||||
#include <Eule/Vector3.h>
|
#include <Eule/Vector3.h>
|
||||||
#include <Eule/Vector4.h>
|
#include <Eule/Vector4.h>
|
||||||
#include "TestingUtilities/HandyMacros.h"
|
#include "../_TestingUtilities/HandyMacros.h"
|
||||||
#include <random>
|
#include <random>
|
||||||
#include <sstream>
|
#include <sstream>
|
||||||
|
|
||||||
using namespace Leonetienne::Eule;
|
using namespace Eule;
|
||||||
|
|
||||||
namespace {
|
namespace {
|
||||||
static std::mt19937 rng = std::mt19937((std::random_device())());
|
static std::mt19937 rng = std::mt19937((std::random_device())());
|
5
_TestingUtilities/HandyMacros.h
Normal file
5
_TestingUtilities/HandyMacros.h
Normal file
@ -0,0 +1,5 @@
|
|||||||
|
#pragma once
|
||||||
|
#define LARGE_RAND_DOUBLE (((rng() % 6969000) - 3500000) / 1000.0)
|
||||||
|
#define LARGE_RAND_POSITIVE_DOUBLE (((rng() % 3500000)) / 1000.0)
|
||||||
|
#define LARGE_RAND_INT ((rng() % 6969) - 3500)
|
||||||
|
#define LARGE_RAND_POSITIVE_INT ((rng() % 3500))
|
44
_TestingUtilities/MemoryLeakDetector.h
Normal file
44
_TestingUtilities/MemoryLeakDetector.h
Normal file
@ -0,0 +1,44 @@
|
|||||||
|
#pragma once
|
||||||
|
#include <crtdbg.h>
|
||||||
|
|
||||||
|
// Don't even allow compilation in release mode unless handled correctly.
|
||||||
|
// This class ONLY WORKS IN DEBUG MODE!!!
|
||||||
|
#ifdef _DEBUG
|
||||||
|
class MemoryLeakDetector
|
||||||
|
{
|
||||||
|
public:
|
||||||
|
// Defines the initial mem state to check against
|
||||||
|
void Init()
|
||||||
|
{
|
||||||
|
_CrtMemCheckpoint(&stateInit);
|
||||||
|
return;
|
||||||
|
};
|
||||||
|
|
||||||
|
// Returns whether or not the process uses more memory than at the point when Init() was called
|
||||||
|
bool DetectLeak()
|
||||||
|
{
|
||||||
|
_CrtMemCheckpoint(&stateEnd);
|
||||||
|
return Evaluate();
|
||||||
|
};
|
||||||
|
|
||||||
|
// Returns the absolute memory difference since calling Init(). WARNING: The ABSOLUTE difference! No negative values!
|
||||||
|
int Difference()
|
||||||
|
{
|
||||||
|
// I know that it's the exact same code as in DetectedLeak().
|
||||||
|
_CrtMemCheckpoint(&stateEnd);
|
||||||
|
return Evaluate();
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
private:
|
||||||
|
int Evaluate()
|
||||||
|
{
|
||||||
|
return _CrtMemDifference(&stateBfr, &stateInit, &stateEnd);
|
||||||
|
}
|
||||||
|
|
||||||
|
_CrtMemState stateInit;
|
||||||
|
_CrtMemState stateEnd;
|
||||||
|
_CrtMemState stateBfr;
|
||||||
|
|
||||||
|
};
|
||||||
|
#endif
|
105
_TestingUtilities/_MemoryLeakDetector.cpp
Normal file
105
_TestingUtilities/_MemoryLeakDetector.cpp
Normal file
@ -0,0 +1,105 @@
|
|||||||
|
#include "CppUnitTest.h"
|
||||||
|
#include "MemoryLeakDetector.h"
|
||||||
|
|
||||||
|
using namespace Microsoft::VisualStudio::CppUnitTestFramework;
|
||||||
|
|
||||||
|
namespace TestingUtilities
|
||||||
|
{
|
||||||
|
TEST_CLASS(_MemoryLeakDetector)
|
||||||
|
{
|
||||||
|
public:
|
||||||
|
// =========== MEMORY LEAK TESTS ===========
|
||||||
|
// These tests depends on debug-mode for memory insights.
|
||||||
|
// Thus, they only works in debug mode.
|
||||||
|
#ifdef _DEBUG
|
||||||
|
|
||||||
|
// Tests to detect no memory leak, if the test does nothing at all
|
||||||
|
TEST_METHOD(No_Memleak_For_Nothing)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
// Do nothing here
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsFalse(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Tests to detect no memory leak when not even touching pointers
|
||||||
|
TEST_METHOD(No_Memleak_For_No_Pointer_Action)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
int i = 33;
|
||||||
|
int c = i * 9;
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsFalse(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Tests to detect no memory leak when correctly cleaning up pointers
|
||||||
|
TEST_METHOD(No_Memleak_For_Cleaned_Up_Pointers)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
int* ptr = new int[333];
|
||||||
|
delete[] ptr;
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsFalse(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
|
||||||
|
// Tests to detect a memory leak when not cleaning up pointers
|
||||||
|
TEST_METHOD(Memleak_For_No_Pointer_Cleanup)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
int* ptr = new int[333];
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsTrue(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Tests to detect no memory leak when correctly cleaning up pointers, using C-Methods
|
||||||
|
TEST_METHOD(No_Memleak_For_Cleaned_Up_Pointers_C_Like)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
int* ptr = (int*)malloc(sizeof(int) * 333);
|
||||||
|
free(ptr);
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsFalse(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
|
||||||
|
// Tests to detect a memory leak when not cleaning up pointers, using C-Methods
|
||||||
|
TEST_METHOD(Memleak_For_No_Pointer_Cleanup_C_Like)
|
||||||
|
{
|
||||||
|
MemoryLeakDetector mld;
|
||||||
|
mld.Init();
|
||||||
|
|
||||||
|
{
|
||||||
|
int* ptr = (int*)malloc(sizeof(int) * 333);
|
||||||
|
}
|
||||||
|
|
||||||
|
Assert::IsTrue(mld.DetectLeak());
|
||||||
|
return;
|
||||||
|
}
|
||||||
|
#endif
|
||||||
|
};
|
||||||
|
}
|
701
readme.md
701
readme.md
@ -1,683 +1,32 @@
|
|||||||
[](https://drone.leonetienne.de/leonetienne/Eule)
|
|
||||||
|
|
||||||
# Eule
|
# Eule
|
||||||
Eule is a homemade math library, mainly targetted towards computer graphics.
|
Eule is a homemade math library, mainly targetted towards computer graphics.
|
||||||
|
|
||||||
# LICENSE
|
# LICENSE
|
||||||
```
|
```
|
||||||
GNU GENERAL PUBLIC LICENSE
|
BSD 2-Clause License
|
||||||
Version 3, 29 June 2007
|
|
||||||
|
Copyright (c) 2022, Leon Etienne
|
||||||
Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
|
All rights reserved.
|
||||||
Everyone is permitted to copy and distribute verbatim copies
|
|
||||||
of this license document, but changing it is not allowed.
|
Redistribution and use in source and binary forms, with or without
|
||||||
|
modification, are permitted provided that the following conditions are met:
|
||||||
Preamble
|
|
||||||
|
1. Redistributions of source code must retain the above copyright notice, this
|
||||||
The GNU General Public License is a free, copyleft license for
|
list of conditions and the following disclaimer.
|
||||||
software and other kinds of works.
|
|
||||||
|
2. Redistributions in binary form must reproduce the above copyright notice,
|
||||||
The licenses for most software and other practical works are designed
|
this list of conditions and the following disclaimer in the documentation
|
||||||
to take away your freedom to share and change the works. By contrast,
|
and/or other materials provided with the distribution.
|
||||||
the GNU General Public License is intended to guarantee your freedom to
|
|
||||||
share and change all versions of a program--to make sure it remains free
|
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
||||||
software for all its users. We, the Free Software Foundation, use the
|
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||||
GNU General Public License for most of our software; it applies also to
|
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
|
||||||
any other work released this way by its authors. You can apply it to
|
DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
|
||||||
your programs, too.
|
FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
|
||||||
|
DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
|
||||||
When we speak of free software, we are referring to freedom, not
|
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
||||||
price. Our General Public Licenses are designed to make sure that you
|
CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
|
||||||
have the freedom to distribute copies of free software (and charge for
|
OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
||||||
them if you wish), that you receive source code or can get it if you
|
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||||
want it, that you can change the software or use pieces of it in new
|
|
||||||
free programs, and that you know you can do these things.
|
|
||||||
|
|
||||||
To protect your rights, we need to prevent others from denying you
|
|
||||||
these rights or asking you to surrender the rights. Therefore, you have
|
|
||||||
certain responsibilities if you distribute copies of the software, or if
|
|
||||||
you modify it: responsibilities to respect the freedom of others.
|
|
||||||
|
|
||||||
For example, if you distribute copies of such a program, whether
|
|
||||||
gratis or for a fee, you must pass on to the recipients the same
|
|
||||||
freedoms that you received. You must make sure that they, too, receive
|
|
||||||
or can get the source code. And you must show them these terms so they
|
|
||||||
know their rights.
|
|
||||||
|
|
||||||
Developers that use the GNU GPL protect your rights with two steps:
|
|
||||||
(1) assert copyright on the software, and (2) offer you this License
|
|
||||||
giving you legal permission to copy, distribute and/or modify it.
|
|
||||||
|
|
||||||
For the developers' and authors' protection, the GPL clearly explains
|
|
||||||
that there is no warranty for this free software. For both users' and
|
|
||||||
authors' sake, the GPL requires that modified versions be marked as
|
|
||||||
changed, so that their problems will not be attributed erroneously to
|
|
||||||
authors of previous versions.
|
|
||||||
|
|
||||||
Some devices are designed to deny users access to install or run
|
|
||||||
modified versions of the software inside them, although the manufacturer
|
|
||||||
can do so. This is fundamentally incompatible with the aim of
|
|
||||||
protecting users' freedom to change the software. The systematic
|
|
||||||
pattern of such abuse occurs in the area of products for individuals to
|
|
||||||
use, which is precisely where it is most unacceptable. Therefore, we
|
|
||||||
have designed this version of the GPL to prohibit the practice for those
|
|
||||||
products. If such problems arise substantially in other domains, we
|
|
||||||
stand ready to extend this provision to those domains in future versions
|
|
||||||
of the GPL, as needed to protect the freedom of users.
|
|
||||||
|
|
||||||
Finally, every program is threatened constantly by software patents.
|
|
||||||
States should not allow patents to restrict development and use of
|
|
||||||
software on general-purpose computers, but in those that do, we wish to
|
|
||||||
avoid the special danger that patents applied to a free program could
|
|
||||||
make it effectively proprietary. To prevent this, the GPL assures that
|
|
||||||
patents cannot be used to render the program non-free.
|
|
||||||
|
|
||||||
The precise terms and conditions for copying, distribution and
|
|
||||||
modification follow.
|
|
||||||
|
|
||||||
TERMS AND CONDITIONS
|
|
||||||
|
|
||||||
0. Definitions.
|
|
||||||
|
|
||||||
"This License" refers to version 3 of the GNU General Public License.
|
|
||||||
|
|
||||||
"Copyright" also means copyright-like laws that apply to other kinds of
|
|
||||||
works, such as semiconductor masks.
|
|
||||||
|
|
||||||
"The Program" refers to any copyrightable work licensed under this
|
|
||||||
License. Each licensee is addressed as "you". "Licensees" and
|
|
||||||
"recipients" may be individuals or organizations.
|
|
||||||
|
|
||||||
To "modify" a work means to copy from or adapt all or part of the work
|
|
||||||
in a fashion requiring copyright permission, other than the making of an
|
|
||||||
exact copy. The resulting work is called a "modified version" of the
|
|
||||||
earlier work or a work "based on" the earlier work.
|
|
||||||
|
|
||||||
A "covered work" means either the unmodified Program or a work based
|
|
||||||
on the Program.
|
|
||||||
|
|
||||||
To "propagate" a work means to do anything with it that, without
|
|
||||||
permission, would make you directly or secondarily liable for
|
|
||||||
infringement under applicable copyright law, except executing it on a
|
|
||||||
computer or modifying a private copy. Propagation includes copying,
|
|
||||||
distribution (with or without modification), making available to the
|
|
||||||
public, and in some countries other activities as well.
|
|
||||||
|
|
||||||
To "convey" a work means any kind of propagation that enables other
|
|
||||||
parties to make or receive copies. Mere interaction with a user through
|
|
||||||
a computer network, with no transfer of a copy, is not conveying.
|
|
||||||
|
|
||||||
An interactive user interface displays "Appropriate Legal Notices"
|
|
||||||
to the extent that it includes a convenient and prominently visible
|
|
||||||
feature that (1) displays an appropriate copyright notice, and (2)
|
|
||||||
tells the user that there is no warranty for the work (except to the
|
|
||||||
extent that warranties are provided), that licensees may convey the
|
|
||||||
work under this License, and how to view a copy of this License. If
|
|
||||||
the interface presents a list of user commands or options, such as a
|
|
||||||
menu, a prominent item in the list meets this criterion.
|
|
||||||
|
|
||||||
1. Source Code.
|
|
||||||
|
|
||||||
The "source code" for a work means the preferred form of the work
|
|
||||||
for making modifications to it. "Object code" means any non-source
|
|
||||||
form of a work.
|
|
||||||
|
|
||||||
A "Standard Interface" means an interface that either is an official
|
|
||||||
standard defined by a recognized standards body, or, in the case of
|
|
||||||
interfaces specified for a particular programming language, one that
|
|
||||||
is widely used among developers working in that language.
|
|
||||||
|
|
||||||
The "System Libraries" of an executable work include anything, other
|
|
||||||
than the work as a whole, that (a) is included in the normal form of
|
|
||||||
packaging a Major Component, but which is not part of that Major
|
|
||||||
Component, and (b) serves only to enable use of the work with that
|
|
||||||
Major Component, or to implement a Standard Interface for which an
|
|
||||||
implementation is available to the public in source code form. A
|
|
||||||
"Major Component", in this context, means a major essential component
|
|
||||||
(kernel, window system, and so on) of the specific operating system
|
|
||||||
(if any) on which the executable work runs, or a compiler used to
|
|
||||||
produce the work, or an object code interpreter used to run it.
|
|
||||||
|
|
||||||
The "Corresponding Source" for a work in object code form means all
|
|
||||||
the source code needed to generate, install, and (for an executable
|
|
||||||
work) run the object code and to modify the work, including scripts to
|
|
||||||
control those activities. However, it does not include the work's
|
|
||||||
System Libraries, or general-purpose tools or generally available free
|
|
||||||
programs which are used unmodified in performing those activities but
|
|
||||||
which are not part of the work. For example, Corresponding Source
|
|
||||||
includes interface definition files associated with source files for
|
|
||||||
the work, and the source code for shared libraries and dynamically
|
|
||||||
linked subprograms that the work is specifically designed to require,
|
|
||||||
such as by intimate data communication or control flow between those
|
|
||||||
subprograms and other parts of the work.
|
|
||||||
|
|
||||||
The Corresponding Source need not include anything that users
|
|
||||||
can regenerate automatically from other parts of the Corresponding
|
|
||||||
Source.
|
|
||||||
|
|
||||||
The Corresponding Source for a work in source code form is that
|
|
||||||
same work.
|
|
||||||
|
|
||||||
2. Basic Permissions.
|
|
||||||
|
|
||||||
All rights granted under this License are granted for the term of
|
|
||||||
copyright on the Program, and are irrevocable provided the stated
|
|
||||||
conditions are met. This License explicitly affirms your unlimited
|
|
||||||
permission to run the unmodified Program. The output from running a
|
|
||||||
covered work is covered by this License only if the output, given its
|
|
||||||
content, constitutes a covered work. This License acknowledges your
|
|
||||||
rights of fair use or other equivalent, as provided by copyright law.
|
|
||||||
|
|
||||||
You may make, run and propagate covered works that you do not
|
|
||||||
convey, without conditions so long as your license otherwise remains
|
|
||||||
in force. You may convey covered works to others for the sole purpose
|
|
||||||
of having them make modifications exclusively for you, or provide you
|
|
||||||
with facilities for running those works, provided that you comply with
|
|
||||||
the terms of this License in conveying all material for which you do
|
|
||||||
not control copyright. Those thus making or running the covered works
|
|
||||||
for you must do so exclusively on your behalf, under your direction
|
|
||||||
and control, on terms that prohibit them from making any copies of
|
|
||||||
your copyrighted material outside their relationship with you.
|
|
||||||
|
|
||||||
Conveying under any other circumstances is permitted solely under
|
|
||||||
the conditions stated below. Sublicensing is not allowed; section 10
|
|
||||||
makes it unnecessary.
|
|
||||||
|
|
||||||
3. Protecting Users' Legal Rights From Anti-Circumvention Law.
|
|
||||||
|
|
||||||
No covered work shall be deemed part of an effective technological
|
|
||||||
measure under any applicable law fulfilling obligations under article
|
|
||||||
11 of the WIPO copyright treaty adopted on 20 December 1996, or
|
|
||||||
similar laws prohibiting or restricting circumvention of such
|
|
||||||
measures.
|
|
||||||
|
|
||||||
When you convey a covered work, you waive any legal power to forbid
|
|
||||||
circumvention of technological measures to the extent such circumvention
|
|
||||||
is effected by exercising rights under this License with respect to
|
|
||||||
the covered work, and you disclaim any intention to limit operation or
|
|
||||||
modification of the work as a means of enforcing, against the work's
|
|
||||||
users, your or third parties' legal rights to forbid circumvention of
|
|
||||||
technological measures.
|
|
||||||
|
|
||||||
4. Conveying Verbatim Copies.
|
|
||||||
|
|
||||||
You may convey verbatim copies of the Program's source code as you
|
|
||||||
receive it, in any medium, provided that you conspicuously and
|
|
||||||
appropriately publish on each copy an appropriate copyright notice;
|
|
||||||
keep intact all notices stating that this License and any
|
|
||||||
non-permissive terms added in accord with section 7 apply to the code;
|
|
||||||
keep intact all notices of the absence of any warranty; and give all
|
|
||||||
recipients a copy of this License along with the Program.
|
|
||||||
|
|
||||||
You may charge any price or no price for each copy that you convey,
|
|
||||||
and you may offer support or warranty protection for a fee.
|
|
||||||
|
|
||||||
5. Conveying Modified Source Versions.
|
|
||||||
|
|
||||||
You may convey a work based on the Program, or the modifications to
|
|
||||||
produce it from the Program, in the form of source code under the
|
|
||||||
terms of section 4, provided that you also meet all of these conditions:
|
|
||||||
|
|
||||||
a) The work must carry prominent notices stating that you modified
|
|
||||||
it, and giving a relevant date.
|
|
||||||
|
|
||||||
b) The work must carry prominent notices stating that it is
|
|
||||||
released under this License and any conditions added under section
|
|
||||||
7. This requirement modifies the requirement in section 4 to
|
|
||||||
"keep intact all notices".
|
|
||||||
|
|
||||||
c) You must license the entire work, as a whole, under this
|
|
||||||
License to anyone who comes into possession of a copy. This
|
|
||||||
License will therefore apply, along with any applicable section 7
|
|
||||||
additional terms, to the whole of the work, and all its parts,
|
|
||||||
regardless of how they are packaged. This License gives no
|
|
||||||
permission to license the work in any other way, but it does not
|
|
||||||
invalidate such permission if you have separately received it.
|
|
||||||
|
|
||||||
d) If the work has interactive user interfaces, each must display
|
|
||||||
Appropriate Legal Notices; however, if the Program has interactive
|
|
||||||
interfaces that do not display Appropriate Legal Notices, your
|
|
||||||
work need not make them do so.
|
|
||||||
|
|
||||||
A compilation of a covered work with other separate and independent
|
|
||||||
works, which are not by their nature extensions of the covered work,
|
|
||||||
and which are not combined with it such as to form a larger program,
|
|
||||||
in or on a volume of a storage or distribution medium, is called an
|
|
||||||
"aggregate" if the compilation and its resulting copyright are not
|
|
||||||
used to limit the access or legal rights of the compilation's users
|
|
||||||
beyond what the individual works permit. Inclusion of a covered work
|
|
||||||
in an aggregate does not cause this License to apply to the other
|
|
||||||
parts of the aggregate.
|
|
||||||
|
|
||||||
6. Conveying Non-Source Forms.
|
|
||||||
|
|
||||||
You may convey a covered work in object code form under the terms
|
|
||||||
of sections 4 and 5, provided that you also convey the
|
|
||||||
machine-readable Corresponding Source under the terms of this License,
|
|
||||||
in one of these ways:
|
|
||||||
|
|
||||||
a) Convey the object code in, or embodied in, a physical product
|
|
||||||
(including a physical distribution medium), accompanied by the
|
|
||||||
Corresponding Source fixed on a durable physical medium
|
|
||||||
customarily used for software interchange.
|
|
||||||
|
|
||||||
b) Convey the object code in, or embodied in, a physical product
|
|
||||||
(including a physical distribution medium), accompanied by a
|
|
||||||
written offer, valid for at least three years and valid for as
|
|
||||||
long as you offer spare parts or customer support for that product
|
|
||||||
model, to give anyone who possesses the object code either (1) a
|
|
||||||
copy of the Corresponding Source for all the software in the
|
|
||||||
product that is covered by this License, on a durable physical
|
|
||||||
medium customarily used for software interchange, for a price no
|
|
||||||
more than your reasonable cost of physically performing this
|
|
||||||
conveying of source, or (2) access to copy the
|
|
||||||
Corresponding Source from a network server at no charge.
|
|
||||||
|
|
||||||
c) Convey individual copies of the object code with a copy of the
|
|
||||||
written offer to provide the Corresponding Source. This
|
|
||||||
alternative is allowed only occasionally and noncommercially, and
|
|
||||||
only if you received the object code with such an offer, in accord
|
|
||||||
with subsection 6b.
|
|
||||||
|
|
||||||
d) Convey the object code by offering access from a designated
|
|
||||||
place (gratis or for a charge), and offer equivalent access to the
|
|
||||||
Corresponding Source in the same way through the same place at no
|
|
||||||
further charge. You need not require recipients to copy the
|
|
||||||
Corresponding Source along with the object code. If the place to
|
|
||||||
copy the object code is a network server, the Corresponding Source
|
|
||||||
may be on a different server (operated by you or a third party)
|
|
||||||
that supports equivalent copying facilities, provided you maintain
|
|
||||||
clear directions next to the object code saying where to find the
|
|
||||||
Corresponding Source. Regardless of what server hosts the
|
|
||||||
Corresponding Source, you remain obligated to ensure that it is
|
|
||||||
available for as long as needed to satisfy these requirements.
|
|
||||||
|
|
||||||
e) Convey the object code using peer-to-peer transmission, provided
|
|
||||||
you inform other peers where the object code and Corresponding
|
|
||||||
Source of the work are being offered to the general public at no
|
|
||||||
charge under subsection 6d.
|
|
||||||
|
|
||||||
A separable portion of the object code, whose source code is excluded
|
|
||||||
from the Corresponding Source as a System Library, need not be
|
|
||||||
included in conveying the object code work.
|
|
||||||
|
|
||||||
A "User Product" is either (1) a "consumer product", which means any
|
|
||||||
tangible personal property which is normally used for personal, family,
|
|
||||||
or household purposes, or (2) anything designed or sold for incorporation
|
|
||||||
into a dwelling. In determining whether a product is a consumer product,
|
|
||||||
doubtful cases shall be resolved in favor of coverage. For a particular
|
|
||||||
product received by a particular user, "normally used" refers to a
|
|
||||||
typical or common use of that class of product, regardless of the status
|
|
||||||
of the particular user or of the way in which the particular user
|
|
||||||
actually uses, or expects or is expected to use, the product. A product
|
|
||||||
is a consumer product regardless of whether the product has substantial
|
|
||||||
commercial, industrial or non-consumer uses, unless such uses represent
|
|
||||||
the only significant mode of use of the product.
|
|
||||||
|
|
||||||
"Installation Information" for a User Product means any methods,
|
|
||||||
procedures, authorization keys, or other information required to install
|
|
||||||
and execute modified versions of a covered work in that User Product from
|
|
||||||
a modified version of its Corresponding Source. The information must
|
|
||||||
suffice to ensure that the continued functioning of the modified object
|
|
||||||
code is in no case prevented or interfered with solely because
|
|
||||||
modification has been made.
|
|
||||||
|
|
||||||
If you convey an object code work under this section in, or with, or
|
|
||||||
specifically for use in, a User Product, and the conveying occurs as
|
|
||||||
part of a transaction in which the right of possession and use of the
|
|
||||||
User Product is transferred to the recipient in perpetuity or for a
|
|
||||||
fixed term (regardless of how the transaction is characterized), the
|
|
||||||
Corresponding Source conveyed under this section must be accompanied
|
|
||||||
by the Installation Information. But this requirement does not apply
|
|
||||||
if neither you nor any third party retains the ability to install
|
|
||||||
modified object code on the User Product (for example, the work has
|
|
||||||
been installed in ROM).
|
|
||||||
|
|
||||||
The requirement to provide Installation Information does not include a
|
|
||||||
requirement to continue to provide support service, warranty, or updates
|
|
||||||
for a work that has been modified or installed by the recipient, or for
|
|
||||||
the User Product in which it has been modified or installed. Access to a
|
|
||||||
network may be denied when the modification itself materially and
|
|
||||||
adversely affects the operation of the network or violates the rules and
|
|
||||||
protocols for communication across the network.
|
|
||||||
|
|
||||||
Corresponding Source conveyed, and Installation Information provided,
|
|
||||||
in accord with this section must be in a format that is publicly
|
|
||||||
documented (and with an implementation available to the public in
|
|
||||||
source code form), and must require no special password or key for
|
|
||||||
unpacking, reading or copying.
|
|
||||||
|
|
||||||
7. Additional Terms.
|
|
||||||
|
|
||||||
"Additional permissions" are terms that supplement the terms of this
|
|
||||||
License by making exceptions from one or more of its conditions.
|
|
||||||
Additional permissions that are applicable to the entire Program shall
|
|
||||||
be treated as though they were included in this License, to the extent
|
|
||||||
that they are valid under applicable law. If additional permissions
|
|
||||||
apply only to part of the Program, that part may be used separately
|
|
||||||
under those permissions, but the entire Program remains governed by
|
|
||||||
this License without regard to the additional permissions.
|
|
||||||
|
|
||||||
When you convey a copy of a covered work, you may at your option
|
|
||||||
remove any additional permissions from that copy, or from any part of
|
|
||||||
it. (Additional permissions may be written to require their own
|
|
||||||
removal in certain cases when you modify the work.) You may place
|
|
||||||
additional permissions on material, added by you to a covered work,
|
|
||||||
for which you have or can give appropriate copyright permission.
|
|
||||||
|
|
||||||
Notwithstanding any other provision of this License, for material you
|
|
||||||
add to a covered work, you may (if authorized by the copyright holders of
|
|
||||||
that material) supplement the terms of this License with terms:
|
|
||||||
|
|
||||||
a) Disclaiming warranty or limiting liability differently from the
|
|
||||||
terms of sections 15 and 16 of this License; or
|
|
||||||
|
|
||||||
b) Requiring preservation of specified reasonable legal notices or
|
|
||||||
author attributions in that material or in the Appropriate Legal
|
|
||||||
Notices displayed by works containing it; or
|
|
||||||
|
|
||||||
c) Prohibiting misrepresentation of the origin of that material, or
|
|
||||||
requiring that modified versions of such material be marked in
|
|
||||||
reasonable ways as different from the original version; or
|
|
||||||
|
|
||||||
d) Limiting the use for publicity purposes of names of licensors or
|
|
||||||
authors of the material; or
|
|
||||||
|
|
||||||
e) Declining to grant rights under trademark law for use of some
|
|
||||||
trade names, trademarks, or service marks; or
|
|
||||||
|
|
||||||
f) Requiring indemnification of licensors and authors of that
|
|
||||||
material by anyone who conveys the material (or modified versions of
|
|
||||||
it) with contractual assumptions of liability to the recipient, for
|
|
||||||
any liability that these contractual assumptions directly impose on
|
|
||||||
those licensors and authors.
|
|
||||||
|
|
||||||
All other non-permissive additional terms are considered "further
|
|
||||||
restrictions" within the meaning of section 10. If the Program as you
|
|
||||||
received it, or any part of it, contains a notice stating that it is
|
|
||||||
governed by this License along with a term that is a further
|
|
||||||
restriction, you may remove that term. If a license document contains
|
|
||||||
a further restriction but permits relicensing or conveying under this
|
|
||||||
License, you may add to a covered work material governed by the terms
|
|
||||||
of that license document, provided that the further restriction does
|
|
||||||
not survive such relicensing or conveying.
|
|
||||||
|
|
||||||
If you add terms to a covered work in accord with this section, you
|
|
||||||
must place, in the relevant source files, a statement of the
|
|
||||||
additional terms that apply to those files, or a notice indicating
|
|
||||||
where to find the applicable terms.
|
|
||||||
|
|
||||||
Additional terms, permissive or non-permissive, may be stated in the
|
|
||||||
form of a separately written license, or stated as exceptions;
|
|
||||||
the above requirements apply either way.
|
|
||||||
|
|
||||||
8. Termination.
|
|
||||||
|
|
||||||
You may not propagate or modify a covered work except as expressly
|
|
||||||
provided under this License. Any attempt otherwise to propagate or
|
|
||||||
modify it is void, and will automatically terminate your rights under
|
|
||||||
this License (including any patent licenses granted under the third
|
|
||||||
paragraph of section 11).
|
|
||||||
|
|
||||||
However, if you cease all violation of this License, then your
|
|
||||||
license from a particular copyright holder is reinstated (a)
|
|
||||||
provisionally, unless and until the copyright holder explicitly and
|
|
||||||
finally terminates your license, and (b) permanently, if the copyright
|
|
||||||
holder fails to notify you of the violation by some reasonable means
|
|
||||||
prior to 60 days after the cessation.
|
|
||||||
|
|
||||||
Moreover, your license from a particular copyright holder is
|
|
||||||
reinstated permanently if the copyright holder notifies you of the
|
|
||||||
violation by some reasonable means, this is the first time you have
|
|
||||||
received notice of violation of this License (for any work) from that
|
|
||||||
copyright holder, and you cure the violation prior to 30 days after
|
|
||||||
your receipt of the notice.
|
|
||||||
|
|
||||||
Termination of your rights under this section does not terminate the
|
|
||||||
licenses of parties who have received copies or rights from you under
|
|
||||||
this License. If your rights have been terminated and not permanently
|
|
||||||
reinstated, you do not qualify to receive new licenses for the same
|
|
||||||
material under section 10.
|
|
||||||
|
|
||||||
9. Acceptance Not Required for Having Copies.
|
|
||||||
|
|
||||||
You are not required to accept this License in order to receive or
|
|
||||||
run a copy of the Program. Ancillary propagation of a covered work
|
|
||||||
occurring solely as a consequence of using peer-to-peer transmission
|
|
||||||
to receive a copy likewise does not require acceptance. However,
|
|
||||||
nothing other than this License grants you permission to propagate or
|
|
||||||
modify any covered work. These actions infringe copyright if you do
|
|
||||||
not accept this License. Therefore, by modifying or propagating a
|
|
||||||
covered work, you indicate your acceptance of this License to do so.
|
|
||||||
|
|
||||||
10. Automatic Licensing of Downstream Recipients.
|
|
||||||
|
|
||||||
Each time you convey a covered work, the recipient automatically
|
|
||||||
receives a license from the original licensors, to run, modify and
|
|
||||||
propagate that work, subject to this License. You are not responsible
|
|
||||||
for enforcing compliance by third parties with this License.
|
|
||||||
|
|
||||||
An "entity transaction" is a transaction transferring control of an
|
|
||||||
organization, or substantially all assets of one, or subdividing an
|
|
||||||
organization, or merging organizations. If propagation of a covered
|
|
||||||
work results from an entity transaction, each party to that
|
|
||||||
transaction who receives a copy of the work also receives whatever
|
|
||||||
licenses to the work the party's predecessor in interest had or could
|
|
||||||
give under the previous paragraph, plus a right to possession of the
|
|
||||||
Corresponding Source of the work from the predecessor in interest, if
|
|
||||||
the predecessor has it or can get it with reasonable efforts.
|
|
||||||
|
|
||||||
You may not impose any further restrictions on the exercise of the
|
|
||||||
rights granted or affirmed under this License. For example, you may
|
|
||||||
not impose a license fee, royalty, or other charge for exercise of
|
|
||||||
rights granted under this License, and you may not initiate litigation
|
|
||||||
(including a cross-claim or counterclaim in a lawsuit) alleging that
|
|
||||||
any patent claim is infringed by making, using, selling, offering for
|
|
||||||
sale, or importing the Program or any portion of it.
|
|
||||||
|
|
||||||
11. Patents.
|
|
||||||
|
|
||||||
A "contributor" is a copyright holder who authorizes use under this
|
|
||||||
License of the Program or a work on which the Program is based. The
|
|
||||||
work thus licensed is called the contributor's "contributor version".
|
|
||||||
|
|
||||||
A contributor's "essential patent claims" are all patent claims
|
|
||||||
owned or controlled by the contributor, whether already acquired or
|
|
||||||
hereafter acquired, that would be infringed by some manner, permitted
|
|
||||||
by this License, of making, using, or selling its contributor version,
|
|
||||||
but do not include claims that would be infringed only as a
|
|
||||||
consequence of further modification of the contributor version. For
|
|
||||||
purposes of this definition, "control" includes the right to grant
|
|
||||||
patent sublicenses in a manner consistent with the requirements of
|
|
||||||
this License.
|
|
||||||
|
|
||||||
Each contributor grants you a non-exclusive, worldwide, royalty-free
|
|
||||||
patent license under the contributor's essential patent claims, to
|
|
||||||
make, use, sell, offer for sale, import and otherwise run, modify and
|
|
||||||
propagate the contents of its contributor version.
|
|
||||||
|
|
||||||
In the following three paragraphs, a "patent license" is any express
|
|
||||||
agreement or commitment, however denominated, not to enforce a patent
|
|
||||||
(such as an express permission to practice a patent or covenant not to
|
|
||||||
sue for patent infringement). To "grant" such a patent license to a
|
|
||||||
party means to make such an agreement or commitment not to enforce a
|
|
||||||
patent against the party.
|
|
||||||
|
|
||||||
If you convey a covered work, knowingly relying on a patent license,
|
|
||||||
and the Corresponding Source of the work is not available for anyone
|
|
||||||
to copy, free of charge and under the terms of this License, through a
|
|
||||||
publicly available network server or other readily accessible means,
|
|
||||||
then you must either (1) cause the Corresponding Source to be so
|
|
||||||
available, or (2) arrange to deprive yourself of the benefit of the
|
|
||||||
patent license for this particular work, or (3) arrange, in a manner
|
|
||||||
consistent with the requirements of this License, to extend the patent
|
|
||||||
license to downstream recipients. "Knowingly relying" means you have
|
|
||||||
actual knowledge that, but for the patent license, your conveying the
|
|
||||||
covered work in a country, or your recipient's use of the covered work
|
|
||||||
in a country, would infringe one or more identifiable patents in that
|
|
||||||
country that you have reason to believe are valid.
|
|
||||||
|
|
||||||
If, pursuant to or in connection with a single transaction or
|
|
||||||
arrangement, you convey, or propagate by procuring conveyance of, a
|
|
||||||
covered work, and grant a patent license to some of the parties
|
|
||||||
receiving the covered work authorizing them to use, propagate, modify
|
|
||||||
or convey a specific copy of the covered work, then the patent license
|
|
||||||
you grant is automatically extended to all recipients of the covered
|
|
||||||
work and works based on it.
|
|
||||||
|
|
||||||
A patent license is "discriminatory" if it does not include within
|
|
||||||
the scope of its coverage, prohibits the exercise of, or is
|
|
||||||
conditioned on the non-exercise of one or more of the rights that are
|
|
||||||
specifically granted under this License. You may not convey a covered
|
|
||||||
work if you are a party to an arrangement with a third party that is
|
|
||||||
in the business of distributing software, under which you make payment
|
|
||||||
to the third party based on the extent of your activity of conveying
|
|
||||||
the work, and under which the third party grants, to any of the
|
|
||||||
parties who would receive the covered work from you, a discriminatory
|
|
||||||
patent license (a) in connection with copies of the covered work
|
|
||||||
conveyed by you (or copies made from those copies), or (b) primarily
|
|
||||||
for and in connection with specific products or compilations that
|
|
||||||
contain the covered work, unless you entered into that arrangement,
|
|
||||||
or that patent license was granted, prior to 28 March 2007.
|
|
||||||
|
|
||||||
Nothing in this License shall be construed as excluding or limiting
|
|
||||||
any implied license or other defenses to infringement that may
|
|
||||||
otherwise be available to you under applicable patent law.
|
|
||||||
|
|
||||||
12. No Surrender of Others' Freedom.
|
|
||||||
|
|
||||||
If conditions are imposed on you (whether by court order, agreement or
|
|
||||||
otherwise) that contradict the conditions of this License, they do not
|
|
||||||
excuse you from the conditions of this License. If you cannot convey a
|
|
||||||
covered work so as to satisfy simultaneously your obligations under this
|
|
||||||
License and any other pertinent obligations, then as a consequence you may
|
|
||||||
not convey it at all. For example, if you agree to terms that obligate you
|
|
||||||
to collect a royalty for further conveying from those to whom you convey
|
|
||||||
the Program, the only way you could satisfy both those terms and this
|
|
||||||
License would be to refrain entirely from conveying the Program.
|
|
||||||
|
|
||||||
13. Use with the GNU Affero General Public License.
|
|
||||||
|
|
||||||
Notwithstanding any other provision of this License, you have
|
|
||||||
permission to link or combine any covered work with a work licensed
|
|
||||||
under version 3 of the GNU Affero General Public License into a single
|
|
||||||
combined work, and to convey the resulting work. The terms of this
|
|
||||||
License will continue to apply to the part which is the covered work,
|
|
||||||
but the special requirements of the GNU Affero General Public License,
|
|
||||||
section 13, concerning interaction through a network will apply to the
|
|
||||||
combination as such.
|
|
||||||
|
|
||||||
14. Revised Versions of this License.
|
|
||||||
|
|
||||||
The Free Software Foundation may publish revised and/or new versions of
|
|
||||||
the GNU General Public License from time to time. Such new versions will
|
|
||||||
be similar in spirit to the present version, but may differ in detail to
|
|
||||||
address new problems or concerns.
|
|
||||||
|
|
||||||
Each version is given a distinguishing version number. If the
|
|
||||||
Program specifies that a certain numbered version of the GNU General
|
|
||||||
Public License "or any later version" applies to it, you have the
|
|
||||||
option of following the terms and conditions either of that numbered
|
|
||||||
version or of any later version published by the Free Software
|
|
||||||
Foundation. If the Program does not specify a version number of the
|
|
||||||
GNU General Public License, you may choose any version ever published
|
|
||||||
by the Free Software Foundation.
|
|
||||||
|
|
||||||
If the Program specifies that a proxy can decide which future
|
|
||||||
versions of the GNU General Public License can be used, that proxy's
|
|
||||||
public statement of acceptance of a version permanently authorizes you
|
|
||||||
to choose that version for the Program.
|
|
||||||
|
|
||||||
Later license versions may give you additional or different
|
|
||||||
permissions. However, no additional obligations are imposed on any
|
|
||||||
author or copyright holder as a result of your choosing to follow a
|
|
||||||
later version.
|
|
||||||
|
|
||||||
15. Disclaimer of Warranty.
|
|
||||||
|
|
||||||
THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
|
|
||||||
APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
|
|
||||||
HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
|
|
||||||
OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
|
|
||||||
THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
||||||
PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
|
|
||||||
IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
|
|
||||||
ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
|
|
||||||
|
|
||||||
16. Limitation of Liability.
|
|
||||||
|
|
||||||
IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
|
||||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
|
|
||||||
THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
|
|
||||||
GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
|
|
||||||
USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
|
|
||||||
DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
|
|
||||||
PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
|
|
||||||
EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
|
|
||||||
SUCH DAMAGES.
|
|
||||||
|
|
||||||
17. Interpretation of Sections 15 and 16.
|
|
||||||
|
|
||||||
If the disclaimer of warranty and limitation of liability provided
|
|
||||||
above cannot be given local legal effect according to their terms,
|
|
||||||
reviewing courts shall apply local law that most closely approximates
|
|
||||||
an absolute waiver of all civil liability in connection with the
|
|
||||||
Program, unless a warranty or assumption of liability accompanies a
|
|
||||||
copy of the Program in return for a fee.
|
|
||||||
|
|
||||||
END OF TERMS AND CONDITIONS
|
|
||||||
|
|
||||||
How to Apply These Terms to Your New Programs
|
|
||||||
|
|
||||||
If you develop a new program, and you want it to be of the greatest
|
|
||||||
possible use to the public, the best way to achieve this is to make it
|
|
||||||
free software which everyone can redistribute and change under these terms.
|
|
||||||
|
|
||||||
To do so, attach the following notices to the program. It is safest
|
|
||||||
to attach them to the start of each source file to most effectively
|
|
||||||
state the exclusion of warranty; and each file should have at least
|
|
||||||
the "copyright" line and a pointer to where the full notice is found.
|
|
||||||
|
|
||||||
<one line to give the program's name and a brief idea of what it does.>
|
|
||||||
Copyright (C) <year> <name of author>
|
|
||||||
|
|
||||||
This program is free software: you can redistribute it and/or modify
|
|
||||||
it under the terms of the GNU General Public License as published by
|
|
||||||
the Free Software Foundation, either version 3 of the License, or
|
|
||||||
(at your option) any later version.
|
|
||||||
|
|
||||||
This program is distributed in the hope that it will be useful,
|
|
||||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
||||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
||||||
GNU General Public License for more details.
|
|
||||||
|
|
||||||
You should have received a copy of the GNU General Public License
|
|
||||||
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
|
||||||
|
|
||||||
Also add information on how to contact you by electronic and paper mail.
|
|
||||||
|
|
||||||
If the program does terminal interaction, make it output a short
|
|
||||||
notice like this when it starts in an interactive mode:
|
|
||||||
|
|
||||||
<program> Copyright (C) <year> <name of author>
|
|
||||||
This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
|
||||||
This is free software, and you are welcome to redistribute it
|
|
||||||
under certain conditions; type `show c' for details.
|
|
||||||
|
|
||||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
|
||||||
parts of the General Public License. Of course, your program's commands
|
|
||||||
might be different; for a GUI interface, you would use an "about box".
|
|
||||||
|
|
||||||
You should also get your employer (if you work as a programmer) or school,
|
|
||||||
if any, to sign a "copyright disclaimer" for the program, if necessary.
|
|
||||||
For more information on this, and how to apply and follow the GNU GPL, see
|
|
||||||
<http://www.gnu.org/licenses/>.
|
|
||||||
|
|
||||||
The GNU General Public License does not permit incorporating your program
|
|
||||||
into proprietary programs. If your program is a subroutine library, you
|
|
||||||
may consider it more useful to permit linking proprietary applications with
|
|
||||||
the library. If this is what you want to do, use the GNU Lesser General
|
|
||||||
Public License instead of this License. But first, please read
|
|
||||||
<http://www.gnu.org/philosophy/why-not-lgpl.html>.
|
|
||||||
```
|
```
|
||||||
|
|
||||||
|
Loading…
x
Reference in New Issue
Block a user