blobt
4 years ago
commit
1784db117e
10 changed files with 1503 additions and 0 deletions
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43.gitignore
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BIN.vs/3dMath/v15/.suo
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BIN.vs/3dMath/v15/Browse.VC.opendb
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313dMath.sln
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1353dMath.vcxproj
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303dMath.vcxproj.filters
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43dMath.vcxproj.user
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1041GMath.cpp
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202GMath.h
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17main.cpp
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# ---> C++ |
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# Prerequisites |
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*.d |
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# Compiled Object files |
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*.slo |
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*.lo |
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*.o |
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*.obj |
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# Precompiled Headers |
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*.gch |
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*.pch |
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# Compiled Dynamic libraries |
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*.so |
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*.dylib |
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*.dll |
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# Fortran module files |
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*.mod |
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*.smod |
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# Compiled Static libraries |
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*.lai |
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*.la |
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*.a |
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*.lib |
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# Executables |
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*.exe |
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*.out |
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*.app |
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#vs2015 |
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Debug |
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Release |
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x64 |
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.git |
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ipch |
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*.VC.db |
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*.VC.VC.opendb |
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Microsoft Visual Studio Solution File, Format Version 12.00 |
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# Visual Studio 15 |
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VisualStudioVersion = 15.0.28307.1300 |
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MinimumVisualStudioVersion = 10.0.40219.1 |
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Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "3dMath", "3dMath.vcxproj", "{BAB2F10C-2B89-463F-B785-9A18937F6238}" |
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EndProject |
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Global |
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GlobalSection(SolutionConfigurationPlatforms) = preSolution |
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Debug|x64 = Debug|x64 |
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Debug|x86 = Debug|x86 |
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Release|x64 = Release|x64 |
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Release|x86 = Release|x86 |
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EndGlobalSection |
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GlobalSection(ProjectConfigurationPlatforms) = postSolution |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Debug|x64.ActiveCfg = Debug|x64 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Debug|x64.Build.0 = Debug|x64 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Debug|x86.ActiveCfg = Debug|Win32 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Debug|x86.Build.0 = Debug|Win32 |
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|
{BAB2F10C-2B89-463F-B785-9A18937F6238}.Release|x64.ActiveCfg = Release|x64 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Release|x64.Build.0 = Release|x64 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Release|x86.ActiveCfg = Release|Win32 |
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{BAB2F10C-2B89-463F-B785-9A18937F6238}.Release|x86.Build.0 = Release|Win32 |
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EndGlobalSection |
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GlobalSection(SolutionProperties) = preSolution |
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HideSolutionNode = FALSE |
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EndGlobalSection |
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GlobalSection(ExtensibilityGlobals) = postSolution |
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SolutionGuid = {B523576E-FA21-49B7-90A5-0F9CF9D239BD} |
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EndGlobalSection |
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EndGlobal |
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<?xml version="1.0" encoding="utf-8"?> |
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<Project DefaultTargets="Build" ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003"> |
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<ItemGroup Label="ProjectConfigurations"> |
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<ProjectConfiguration Include="Debug|Win32"> |
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<Configuration>Debug</Configuration> |
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<Platform>Win32</Platform> |
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</ProjectConfiguration> |
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<ProjectConfiguration Include="Release|Win32"> |
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<Configuration>Release</Configuration> |
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<Platform>Win32</Platform> |
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</ProjectConfiguration> |
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<ProjectConfiguration Include="Debug|x64"> |
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<Configuration>Debug</Configuration> |
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<Platform>x64</Platform> |
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</ProjectConfiguration> |
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<ProjectConfiguration Include="Release|x64"> |
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<Configuration>Release</Configuration> |
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<Platform>x64</Platform> |
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</ProjectConfiguration> |
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</ItemGroup> |
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<PropertyGroup Label="Globals"> |
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<VCProjectVersion>15.0</VCProjectVersion> |
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<ProjectGuid>{BAB2F10C-2B89-463F-B785-9A18937F6238}</ProjectGuid> |
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<RootNamespace>My3dMath</RootNamespace> |
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<WindowsTargetPlatformVersion>10.0.17763.0</WindowsTargetPlatformVersion> |
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</PropertyGroup> |
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" /> |
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration"> |
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<ConfigurationType>Application</ConfigurationType> |
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<UseDebugLibraries>true</UseDebugLibraries> |
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<CharacterSet>MultiByte</CharacterSet> |
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration"> |
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<ConfigurationType>Application</ConfigurationType> |
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<UseDebugLibraries>false</UseDebugLibraries> |
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<PlatformToolset>v141</PlatformToolset> |
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<WholeProgramOptimization>true</WholeProgramOptimization> |
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<CharacterSet>MultiByte</CharacterSet> |
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</PropertyGroup> |
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="Configuration"> |
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<ConfigurationType>Application</ConfigurationType> |
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<UseDebugLibraries>true</UseDebugLibraries> |
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<PlatformToolset>v141</PlatformToolset> |
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<CharacterSet>MultiByte</CharacterSet> |
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="Configuration"> |
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<ConfigurationType>Application</ConfigurationType> |
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<UseDebugLibraries>false</UseDebugLibraries> |
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<PlatformToolset>v141</PlatformToolset> |
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<WholeProgramOptimization>true</WholeProgramOptimization> |
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<CharacterSet>MultiByte</CharacterSet> |
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</PropertyGroup> |
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" /> |
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<ImportGroup Label="ExtensionSettings"> |
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</ImportGroup> |
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<ImportGroup Label="Shared"> |
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</ImportGroup> |
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<ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'"> |
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<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" /> |
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</ImportGroup> |
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<ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|Win32'"> |
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<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" /> |
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</ImportGroup> |
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<ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|x64'"> |
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<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" /> |
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<PropertyGroup Label="UserMacros" /> |
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<PropertyGroup /> |
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'"> |
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<ClCompile> |
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<WarningLevel>Level3</WarningLevel> |
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<Optimization>Disabled</Optimization> |
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<SDLCheck>true</SDLCheck> |
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<ConformanceMode>true</ConformanceMode> |
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</ClCompile> |
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<Link> |
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<SubSystem>Console</SubSystem> |
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'"> |
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<ConformanceMode>true</ConformanceMode> |
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</ClCompile> |
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<Link> |
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<SubSystem>Console</SubSystem> |
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</Link> |
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'"> |
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<ClCompile> |
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<WarningLevel>Level3</WarningLevel> |
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<Optimization>MaxSpeed</Optimization> |
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<FunctionLevelLinking>true</FunctionLevelLinking> |
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<IntrinsicFunctions>true</IntrinsicFunctions> |
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<Link> |
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<SubSystem>Console</SubSystem> |
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<EnableCOMDATFolding>true</EnableCOMDATFolding> |
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<OptimizeReferences>true</OptimizeReferences> |
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<ClCompile> |
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<WarningLevel>Level3</WarningLevel> |
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<Optimization>MaxSpeed</Optimization> |
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<Link> |
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<OptimizeReferences>true</OptimizeReferences> |
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</Link> |
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<ItemGroup> |
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<ClInclude Include="GMath.h" /> |
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<ItemGroup> |
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<ClCompile Include="GMath.cpp" /> |
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<ClCompile Include="main.cpp" /> |
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</ItemGroup> |
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" /> |
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<ImportGroup Label="ExtensionTargets"> |
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</ImportGroup> |
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</Project> |
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@ -0,0 +1,30 @@ |
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<?xml version="1.0" encoding="utf-8"?> |
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<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003"> |
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<ItemGroup> |
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<Filter Include="源文件"> |
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<UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier> |
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<Extensions>cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx</Extensions> |
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</Filter> |
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<Filter Include="头文件"> |
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<UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier> |
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<Extensions>h;hh;hpp;hxx;hm;inl;inc;ipp;xsd</Extensions> |
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</Filter> |
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<Filter Include="资源文件"> |
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<Filter>头文件</Filter> |
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<ClCompile Include="GMath.cpp"> |
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<Filter>源文件</Filter> |
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<ClCompile Include="main.cpp"> |
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<Filter>源文件</Filter> |
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@ -0,0 +1,4 @@ |
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<?xml version="1.0" encoding="utf-8"?> |
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<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003"> |
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<PropertyGroup /> |
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</Project> |
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1041
GMath.cpp
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#pragma once |
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#include <cmath> |
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#include <stdio.h> |
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#include <cassert> |
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#include <iostream> |
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#include <iomanip> |
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#include <stdarg.h> |
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#define PRECISION 0.000001 |
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#define SQRT(X) sqrt((X)) //求平方根 |
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#define SQR(X) ((X)*(X)) //求平方 |
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#define ABS(X) abs((X)) |
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#define EQ(X,Y,EPS) (ABS((X)-(Y))<EPS)//通过误差去判断，两个数是否相等 |
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#define EQ_ZERO(X,EPS) (ABS((X))<EPS) |
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#define ARR_ZERO(A, N) memset((A), 0, sizeof(A[0])*(N)) |
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#define MIN(x,y) (x)<(y)?(x):(y); |
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#define SWAP(type, x, y) {type tmp=(x); (x)=(y); (y) = tmp;} |
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using namespace std; |
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class GVector3 { |
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private: |
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float v[3]; |
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public: |
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GVector3(float x = 0.0f, float y = 0.0f, float z = 0.0f); |
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GVector3(const GVector3& copy); |
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GVector3& operator =(const GVector3& rhs); |
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//向量加减 |
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GVector3 operator +(const GVector3& rhs) const; // u + v |
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GVector3 operator -(const GVector3& rhs) const; // u - v |
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//向量和常量乘除 |
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friend GVector3 operator *(const GVector3& lhs, const float& k); // u * k |
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friend GVector3 operator *(const float& k, const GVector3& rhs); // k * u |
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friend GVector3 operator /(const GVector3& lhs, const float& k); // u / k |
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//求向量的模和方向 |
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friend float norm(const GVector3& v); //求向量大小或模或范数 |
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GVector3& normalize(); //求向量方向 单位向量 |
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//求向量的内积 |
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float operator *(const GVector3& rhs) const; |
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//向量投影 |
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friend GVector3 proj(const GVector3& p, const GVector3& q); |
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friend GVector3 perp(const GVector3& p, const GVector3& q); |
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//求向量内积 叉乘 |
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GVector3 operator^(const GVector3& rhs) const; |
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//完善向量类1 |
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GVector3& Set(const float& x, const float& y, const float& z); |
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friend float distance(const GVector3& v, const GVector3 u); |
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|
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//完善向量类2 |
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GVector3& operator +=(const GVector3& rhs); |
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GVector3& operator -=(const GVector3& rhs); |
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friend ostream& operator<<(ostream& os, const GVector3& v); |
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|
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//完善向量类3 |
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GVector3& operator *=(const float& k); |
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GVector3& operator /=(const float& k); |
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GVector3& operator ^=(const GVector3& rhs); |
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|
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//完善向量类4 |
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bool operator ==(const GVector3 rhs) const; |
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bool operator !=(const GVector3 rhs) const; |
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|
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//完善向量类5 |
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GVector3 operator+() const; |
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GVector3 operator-() const; |
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float& operator [](const int& idx); //下标赋值 |
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const float operator [](const int& idx) const;//下标获取分量 |
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}; |
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|
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class GMatrix; |
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class GVector { |
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public: |
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//GVector 1~2 |
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GVector(int dim = 3); |
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GVector(int dim, double x, ...); |
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GVector(const GVector3& copy); |
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GVector(const GVector& copy); |
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~GVector(); |
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|
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//GVector 3 |
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GVector& Set(double x, ...); |
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GVector& Set(float *p); |
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|
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//GVector 4 |
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GVector& operator =(const GVector& rhs); |
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GVector& operator +=(const GVector& rhs); |
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GVector& operator -=(const GVector& rhs); |
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GVector& operator +=(const float& k); |
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GVector& operator -=(const float& k); |
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GVector &operator *=(const float &k); |
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GVector &operator /=(const float &k); |
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bool operator ==(const GVector& rhs) const; |
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bool operator !=(const GVector& rhs) const; |
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|
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GVector operator +() const; |
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GVector operator -() const; |
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|
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GVector operator +(const GVector& rhs) const; |
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GVector operator -(const GVector& rhs) const; |
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float operator *(const GVector& rhs) const; |
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GVector operator /(const float& k) const; |
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float& operator [](const int& idx); |
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const float& operator [](const int& idx) const; |
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GVector& Nornalize(); |
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|
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int GetDim() const; |
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|
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friend GVector operator *(const float& k, const GVector& rhs); |
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friend GVector operator *(const GVector& lhs, const float& k); |
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friend GVector operator *(const GMatrix& m, const GVector& v); |
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friend GMatrix operator *(const GVector& v, const GMatrix& m); |
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friend float norm(const GVector& v); |
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friend float distance(const GVector& v, const GVector& u); |
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friend ostream& operator <<(ostream& os, const GVector& v); |
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|
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friend class GMatrix; |
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private: |
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int n; |
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float* v; |
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}; |
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|
||||
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class GMatrix { |
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public: |
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GMatrix(int row = 4, int col = 4, float *elem = NULL); |
||||
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GMatrix(const GMatrix& copy); |
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~GMatrix(); |
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|
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GMatrix& operator =(const GMatrix& rhs); |
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|
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GMatrix& operator +=(const GMatrix& rhs); |
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GMatrix& operator -=(const GMatrix& rhs); |
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GMatrix& operator *=(const float& k); |
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GMatrix& operator *=(const GMatrix& rhs); |
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GMatrix& operator /=(const float& k); |
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|
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bool operator ==(const GMatrix& rhs) const; |
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bool operator !=(const GMatrix& rhs) const; |
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|
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float* operator [](const int idx); |
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const float* operator [](const int idx) const; |
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|
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GMatrix operator +() const; |
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GMatrix operator -() const; |
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|
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GMatrix operator +(const GMatrix& rhs) const; |
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GMatrix operator -(const GMatrix& rhs) const; |
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GMatrix operator *(const GMatrix& rhs) const; |
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GMatrix operator /(const float& k) const; |
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GMatrix& SetTranspose(); |
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GMatrix& SetIdentity(); |
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GMatrix& SetZeros(); |
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GMatrix& SetRowVec(const int idx, const GVector& v); |
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GMatrix& SetColVec(const int idx, const GVector& v); |
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GVector GetRowVec(const int idx) const; |
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GVector GetColVec(const int idx) const; |
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||||
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GMatrix& ExchangeRows(const int idx0, const int idx1); |
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GMatrix& ExchangeCols(const int idx0, const int idx1); |
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||||
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int GetRowNum() const; |
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int GetColNum() const; |
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bool IsSquare() const; |
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||||
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friend GMatrix operator *(const GMatrix& lhs, const float& k); |
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friend GMatrix operator *(const float& k , const GMatrix& rhs); |
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||||
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friend GVector operator *(const GMatrix& m, const GVector& v); |
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friend GMatrix operator *(const GVector& v, const GMatrix& m); |
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friend ostream& operator <<(ostream& os, const GMatrix& m); |
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friend GMatrix RowEchelonForm(const GMatrix& m); |
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friend GMatrix ReduceRowEchelonForm(const GMatrix& m); |
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||||
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friend float* from_arr(const GMatrix& m); |
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||||
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friend int Rank(const GMatrix& m);//获取矩阵的秩 |
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friend int Nullity(const GMatrix& m);//获取矩阵的零化度 |
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||||
|
friend GMatrix Mij(const GMatrix& m, int r, int c); //计算余子式 |
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friend float Det(const GMatrix& m); |
||||
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private: |
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|
int r; |
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|
int c; |
||||
|
float *m; |
||||
|
}; |
||||
@ -0,0 +1,17 @@ |
|||||
|
#include "GMath.h"
|
||||
|
|
||||
|
int main() { |
||||
|
|
||||
|
float f1[] = { |
||||
|
1.0f, 4.0f, -8.0, |
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|
0.0f, 2.0f, 9.0, |
||||
|
0.0f, 6.0f, 1.0f |
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|
}; |
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|
|
||||
|
GMatrix M1(3,3, f1); |
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|
cout << M1 << endl; |
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|
||||
|
cout << Det(M1) << endl; |
||||
|
|
||||
|
return 0; |
||||
|
} |
||||
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