Compare commits
2 Commits
| Author | SHA1 | Date | |
|---|---|---|---|
| 7b5d5a4b7b | |||
| 9c9a43df3f |
11
.gitignore
vendored
11
.gitignore
vendored
@@ -636,7 +636,14 @@ FodyWeavers.xsd
|
||||
*.msix
|
||||
*.msm
|
||||
*.msp
|
||||
|
||||
*.txt
|
||||
|
||||
# Visual studio files
|
||||
*.vcxproj
|
||||
*.vcxproj.filters
|
||||
*.sln
|
||||
*.vcxproj.user
|
||||
packages.config
|
||||
|
||||
# Cmake
|
||||
!CMakeLists.txt
|
||||
*.png
|
||||
|
||||
12
CMakeLists.txt
Normal file
12
CMakeLists.txt
Normal file
@@ -0,0 +1,12 @@
|
||||
cmake_minimum_required(VERSION 3.16)
|
||||
project(MemMAPR-MKE CXX)
|
||||
|
||||
set(CMAKE_CXX_STANDARD 17)
|
||||
set(CMAKE_CXX_STANDARD_REQUIRED ON)
|
||||
|
||||
set(SRC MemMAPR-MKE.cpp Solver.cpp)
|
||||
|
||||
find_package (Eigen3 3.3 REQUIRED NO_MODULE)
|
||||
add_executable(mimapr ${SRC})
|
||||
target_link_libraries (mimapr Eigen3::Eigen)
|
||||
target_compile_options(mimapr PRIVATE -Wall -Wextra -Wpedantic)
|
||||
12
MemMAPR-MKE.cpp
Normal file
12
MemMAPR-MKE.cpp
Normal file
@@ -0,0 +1,12 @@
|
||||
#include "Header.h"
|
||||
#include "Solver.h"
|
||||
#include <Eigen/Dense>
|
||||
using namespace Eigen;
|
||||
int main() {
|
||||
Solver slv(5., 4., 0., 1., 30, 0, 10);
|
||||
std::cout << "Linear element:";
|
||||
slv.Execute_Linear(0, 5);
|
||||
std::cout << "\nCubic element:";
|
||||
slv.Execute_Cubic(0, 5);
|
||||
return 0;
|
||||
}
|
||||
@@ -1,37 +0,0 @@
|
||||
|
||||
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||
# Visual Studio Version 17
|
||||
VisualStudioVersion = 17.14.36310.24
|
||||
MinimumVisualStudioVersion = 10.0.40219.1
|
||||
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "MemMAPR-MKE", "MemMAPR-MKE.vcxproj", "{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}"
|
||||
EndProject
|
||||
Global
|
||||
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||
DEBUG_THIRD|x64 = DEBUG_THIRD|x64
|
||||
DEBUG_THIRD|x86 = DEBUG_THIRD|x86
|
||||
Debug|x64 = Debug|x64
|
||||
Debug|x86 = Debug|x86
|
||||
Release|x64 = Release|x64
|
||||
Release|x86 = Release|x86
|
||||
EndGlobalSection
|
||||
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.DEBUG_THIRD|x64.ActiveCfg = DEBUG_FIRST|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.DEBUG_THIRD|x64.Build.0 = DEBUG_FIRST|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.DEBUG_THIRD|x86.ActiveCfg = DEBUG_FIRST|Win32
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.DEBUG_THIRD|x86.Build.0 = DEBUG_FIRST|Win32
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Debug|x64.ActiveCfg = Debug|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Debug|x64.Build.0 = Debug|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Debug|x86.ActiveCfg = Debug|Win32
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Debug|x86.Build.0 = Debug|Win32
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Release|x64.ActiveCfg = Release|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Release|x64.Build.0 = Release|x64
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Release|x86.ActiveCfg = Release|Win32
|
||||
{5D2C9737-E669-4AF1-9B8C-4339EF6E4EB0}.Release|x86.Build.0 = Release|Win32
|
||||
EndGlobalSection
|
||||
GlobalSection(SolutionProperties) = preSolution
|
||||
HideSolutionNode = FALSE
|
||||
EndGlobalSection
|
||||
GlobalSection(ExtensibilityGlobals) = postSolution
|
||||
SolutionGuid = {F7275EE5-C713-4706-94E6-F43DF9702869}
|
||||
EndGlobalSection
|
||||
EndGlobal
|
||||
@@ -1,205 +0,0 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<Project DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
|
||||
<ItemGroup Label="ProjectConfigurations">
|
||||
<ProjectConfiguration Include="DEBUG_FIRST|Win32">
|
||||
<Configuration>DEBUG_FIRST</Configuration>
|
||||
<Platform>Win32</Platform>
|
||||
</ProjectConfiguration>
|
||||
<ProjectConfiguration Include="DEBUG_FIRST|x64">
|
||||
<Configuration>DEBUG_FIRST</Configuration>
|
||||
<Platform>x64</Platform>
|
||||
</ProjectConfiguration>
|
||||
<ProjectConfiguration Include="Debug|Win32">
|
||||
<Configuration>Debug</Configuration>
|
||||
<Platform>Win32</Platform>
|
||||
</ProjectConfiguration>
|
||||
<ProjectConfiguration Include="Release|Win32">
|
||||
<Configuration>Release</Configuration>
|
||||
<Platform>Win32</Platform>
|
||||
</ProjectConfiguration>
|
||||
<ProjectConfiguration Include="Debug|x64">
|
||||
<Configuration>Debug</Configuration>
|
||||
<Platform>x64</Platform>
|
||||
</ProjectConfiguration>
|
||||
<ProjectConfiguration Include="Release|x64">
|
||||
<Configuration>Release</Configuration>
|
||||
<Platform>x64</Platform>
|
||||
</ProjectConfiguration>
|
||||
</ItemGroup>
|
||||
<PropertyGroup Label="Globals">
|
||||
<VCProjectVersion>17.0</VCProjectVersion>
|
||||
<Keyword>Win32Proj</Keyword>
|
||||
<ProjectGuid>{5d2c9737-e669-4af1-9b8c-4339ef6e4eb0}</ProjectGuid>
|
||||
<RootNamespace>MemMAPRMKE</RootNamespace>
|
||||
<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
|
||||
</PropertyGroup>
|
||||
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>true</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|Win32'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>true</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>false</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<WholeProgramOptimization>true</WholeProgramOptimization>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>true</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|x64'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>true</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="Configuration">
|
||||
<ConfigurationType>Application</ConfigurationType>
|
||||
<UseDebugLibraries>false</UseDebugLibraries>
|
||||
<PlatformToolset>v143</PlatformToolset>
|
||||
<WholeProgramOptimization>true</WholeProgramOptimization>
|
||||
<CharacterSet>Unicode</CharacterSet>
|
||||
</PropertyGroup>
|
||||
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
|
||||
<ImportGroup Label="ExtensionSettings">
|
||||
</ImportGroup>
|
||||
<ImportGroup Label="Shared">
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</ImportGroup>
|
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<ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
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||||
<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
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||||
</ImportGroup>
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<ImportGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|Win32'" Label="PropertySheets">
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<Import Project="$(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)|$(Platform)'=='Debug|x64'">
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<Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
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</ImportGroup>
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<ImportGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|x64'" Label="PropertySheets">
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<Import Project="$(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.$(Platform).user.props')" Label="LocalAppDataPlatform" />
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<PropertyGroup Label="UserMacros" />
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<SDLCheck>true</SDLCheck>
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<PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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<ConformanceMode>true</ConformanceMode>
|
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</ClCompile>
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<Link>
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||||
<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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</Link>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|Win32'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<SDLCheck>true</SDLCheck>
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<PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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<ConformanceMode>true</ConformanceMode>
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||||
</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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</Link>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<FunctionLevelLinking>true</FunctionLevelLinking>
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<IntrinsicFunctions>true</IntrinsicFunctions>
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||||
<SDLCheck>true</SDLCheck>
|
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<PreprocessorDefinitions>WIN32;NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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<ConformanceMode>true</ConformanceMode>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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</Link>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<SDLCheck>true</SDLCheck>
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<PreprocessorDefinitions>DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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||||
<ConformanceMode>true</ConformanceMode>
|
||||
<LanguageStandard>Default</LanguageStandard>
|
||||
<LanguageStandard_C>Default</LanguageStandard_C>
|
||||
<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='DEBUG_FIRST|x64'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<SDLCheck>true</SDLCheck>
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<PreprocessorDefinitions>DEBUG;_CONSOLE;THIRD;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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<ConformanceMode>true</ConformanceMode>
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<LanguageStandard>Default</LanguageStandard>
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<LanguageStandard_C>Default</LanguageStandard_C>
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<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<FunctionLevelLinking>true</FunctionLevelLinking>
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<IntrinsicFunctions>true</IntrinsicFunctions>
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<SDLCheck>true</SDLCheck>
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<PreprocessorDefinitions>NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
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||||
<ConformanceMode>true</ConformanceMode>
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||||
<LanguageStandard>Default</LanguageStandard>
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<LanguageStandard_C>Default</LanguageStandard_C>
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<AdditionalIncludeDirectories>include/</AdditionalIncludeDirectories>
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</ClCompile>
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<Link>
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<SubSystem>Console</SubSystem>
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<GenerateDebugInformation>true</GenerateDebugInformation>
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</Link>
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</ItemDefinitionGroup>
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<ItemGroup>
|
||||
<ClCompile Include="src\MemMAPR-MKE.cpp" />
|
||||
<ClCompile Include="src\Solver.cpp" />
|
||||
</ItemGroup>
|
||||
<ItemGroup>
|
||||
<None Include="packages.config" />
|
||||
</ItemGroup>
|
||||
<ItemGroup>
|
||||
<ClInclude Include="include\Header.h" />
|
||||
<ClInclude Include="include\Solver.h" />
|
||||
</ItemGroup>
|
||||
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
|
||||
<ImportGroup Label="ExtensionTargets">
|
||||
<Import Project="packages\Eigen.3.3.3\build\native\Eigen.targets" Condition="Exists('packages\Eigen.3.3.3\build\native\Eigen.targets')" />
|
||||
</ImportGroup>
|
||||
<Target Name="EnsureNuGetPackageBuildImports" BeforeTargets="PrepareForBuild">
|
||||
<PropertyGroup>
|
||||
<ErrorText>Данный проект ссылается на пакеты NuGet, отсутствующие на этом компьютере. Используйте восстановление пакетов NuGet, чтобы скачать их. Дополнительную информацию см. по адресу: http://go.microsoft.com/fwlink/?LinkID=322105. Отсутствует следующий файл: {0}.</ErrorText>
|
||||
</PropertyGroup>
|
||||
<Error Condition="!Exists('packages\Eigen.3.3.3\build\native\Eigen.targets')" Text="$([System.String]::Format('$(ErrorText)', 'packages\Eigen.3.3.3\build\native\Eigen.targets'))" />
|
||||
</Target>
|
||||
</Project>
|
||||
@@ -1,39 +0,0 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
|
||||
<ItemGroup>
|
||||
<Filter Include="Исходные файлы">
|
||||
<UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier>
|
||||
<Extensions>cpp;c;cc;cxx;c++;cppm;ixx;def;odl;idl;hpj;bat;asm;asmx</Extensions>
|
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</Filter>
|
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<Filter Include="Файлы заголовков">
|
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<UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier>
|
||||
<Extensions>h;hh;hpp;hxx;h++;hm;inl;inc;ipp;xsd</Extensions>
|
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</Filter>
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<Filter Include="Файлы ресурсов">
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<UniqueIdentifier>{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}</UniqueIdentifier>
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<Extensions>rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms</Extensions>
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</Filter>
|
||||
<Filter Include="Solver">
|
||||
<UniqueIdentifier>{3be6c970-16cc-463a-a3d5-22a26a8bff54}</UniqueIdentifier>
|
||||
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|
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<ItemGroup>
|
||||
<ClCompile Include="src\Solver.cpp">
|
||||
<Filter>Solver</Filter>
|
||||
</ClCompile>
|
||||
<ClCompile Include="src\MemMAPR-MKE.cpp">
|
||||
<Filter>Исходные файлы</Filter>
|
||||
</ClCompile>
|
||||
</ItemGroup>
|
||||
<ItemGroup>
|
||||
<None Include="packages.config" />
|
||||
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|
||||
<ItemGroup>
|
||||
<ClInclude Include="include\Solver.h">
|
||||
<Filter>Solver</Filter>
|
||||
</ClInclude>
|
||||
<ClInclude Include="include\Header.h">
|
||||
<Filter>Исходные файлы</Filter>
|
||||
</ClInclude>
|
||||
</ItemGroup>
|
||||
</Project>
|
||||
@@ -1,4 +0,0 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<Project ToolsVersion="Current" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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||||
<PropertyGroup />
|
||||
</Project>
|
||||
160
Solver.cpp
Normal file
160
Solver.cpp
Normal file
@@ -0,0 +1,160 @@
|
||||
#include "Header.h"
|
||||
#include <Eigen/Dense>
|
||||
using namespace Eigen;
|
||||
|
||||
Solver::Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u) {
|
||||
A = _A, B = _B, C = _C, D = _D, N = _N;
|
||||
upper = _u, lower = _l;
|
||||
L = (double)(upper - lower) / N;
|
||||
}
|
||||
|
||||
void Solver::Execute_Linear(double val1, double val2) {
|
||||
|
||||
// Локальная матрица жёсткости
|
||||
MatrixXd local = MatrixXd::Zero(2, 2);
|
||||
|
||||
// Локальный вектор нагрузки
|
||||
VectorXd local_load(2);
|
||||
|
||||
local(0, 0) = -A / L - B / 2. + C * L / 3.;
|
||||
local(0, 1) = A / L + B / 2. + C * L / 6.;
|
||||
local(1, 0) = A / L - B / 2. + C * L / 6.;
|
||||
local(1, 1) = -A / L + B / 2. + C * L / 3.;
|
||||
|
||||
local_load(0) = -D * L / 2.;
|
||||
local_load(1) = -D * L / 2.;
|
||||
|
||||
// Глобальная матрица жёсткости
|
||||
MatrixXd ansamb = MatrixXd::Zero(N + 1, N + 1);
|
||||
|
||||
// Глобальный вектор нагрузок
|
||||
VectorXd global_load = VectorXd::Zero(N + 1);
|
||||
|
||||
// Ансамблирование
|
||||
for (int elem = 0; elem < N; ++elem) {
|
||||
int node_i = elem;
|
||||
int node_j = elem + 1;
|
||||
|
||||
ansamb(node_i, node_i) += local(0, 0);
|
||||
ansamb(node_i, node_j) += local(0, 1);
|
||||
ansamb(node_j, node_i) += local(1, 0);
|
||||
ansamb(node_j, node_j) += local(1, 1);
|
||||
|
||||
global_load(node_i) += local_load(0);
|
||||
global_load(node_j) += local_load(1);
|
||||
}
|
||||
|
||||
#if DEBUG
|
||||
std::cout << std::endl << "Before:" << std::endl;
|
||||
std::cout << "Ansamb matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Ansamb load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Граничные условия
|
||||
double u_right = val2;
|
||||
ansamb.row(0).setZero();
|
||||
ansamb.row(N).setZero();
|
||||
|
||||
ansamb(0, 0) = L + 1;
|
||||
ansamb(0, 1) = -1;
|
||||
global_load(0) = 0;
|
||||
|
||||
ansamb(N, N) = 1;
|
||||
global_load(N) = u_right;
|
||||
|
||||
#if DEBUG
|
||||
std::cout << "\nAfter:" << std::endl;
|
||||
std::cout << "Modified matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Modified load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Решение системы
|
||||
VectorXd solution = ansamb.fullPivLu().solve(global_load);
|
||||
std::cout << "\nSolution:" << std::endl;
|
||||
std::cout << solution << std::endl;
|
||||
|
||||
std::ofstream file("matrix_linear_" + std::to_string(N) + ".txt");
|
||||
for (int i = 0; i < solution.size(); i++) {
|
||||
file << solution(i) << ' ';
|
||||
}
|
||||
file << std::endl;
|
||||
}
|
||||
|
||||
// TODO: переделать под себя
|
||||
void Solver::Execute_Cubic(double val1, double val2) {
|
||||
|
||||
int mat_dim = 1 + N * 3;
|
||||
|
||||
// Глобальная матрица жёсткости
|
||||
Eigen::MatrixXd Amat(mat_dim, mat_dim);
|
||||
|
||||
// Глобальный вектор нагрузок
|
||||
Eigen::VectorXd b(mat_dim);
|
||||
Amat.setZero();
|
||||
b.setZero();
|
||||
|
||||
// Assemble matrix
|
||||
for (int i = 0; i < mat_dim - 3; i += 3) {
|
||||
Amat(i, i + 0) -= A * 37.0 / 10.0 / L;
|
||||
Amat(i, i + 1) -= A * (-189.0) / 40.0 / L;
|
||||
Amat(i, i + 2) -= A * 27.0 / 20.0 / L;
|
||||
Amat(i, i + 3) -= A * (-13.0) / 40.0 / L;
|
||||
Amat(i + 1, i + 0) -= A * (-189.0) / 40.0 / L;
|
||||
Amat(i + 1, i + 1) -= A * 54.0 / 5.0 / L;
|
||||
Amat(i + 1, i + 2) -= A * (-297.0) / 40.0 / L;
|
||||
Amat(i + 1, i + 3) -= A * 27.0 / 20.0 / L;
|
||||
Amat(i + 2, i + 0) -= A * 27.0 / 20.0 / L;
|
||||
Amat(i + 2, i + 1) -= A * (-297.0) / 40.0 / L;
|
||||
Amat(i + 2, i + 2) -= A * 54.0 / 5.0 / L;
|
||||
Amat(i + 2, i + 3) -= A * (-189.0) / 40.0 / L;
|
||||
Amat(i + 3, i + 0) -= A * (-13.0) / 40.0 / L;
|
||||
Amat(i + 3, i + 1) -= A * 27.0 / 20.0 / L;
|
||||
Amat(i + 3, i + 2) -= A * (-189.0) / 40.0 / L;
|
||||
Amat(i + 3, i + 3) -= A * 37.0 / 10.0 / L;
|
||||
|
||||
Amat(i + 0, i + 0) += B * (-1.0) / 2.0;
|
||||
Amat(i + 0, i + 1) += B * 57.0 / 80.0;
|
||||
Amat(i + 0, i + 2) += B * (-3.0) / 10.0;
|
||||
Amat(i + 0, i + 3) += B * 7.0 / 80.0;
|
||||
Amat(i + 1, i + 0) += B * (-57.0) / 80.0;
|
||||
|
||||
Amat(i + 1, i + 2) += B * 81.0 / 80.0;
|
||||
Amat(i + 1, i + 3) += B * (-3.0) / 10;
|
||||
Amat(i + 2, i + 0) += B * 3.0 / 10.0;
|
||||
Amat(i + 2, i + 1) += B * (-81.0) / 80.0;
|
||||
|
||||
Amat(i + 2, i + 3) += B * 57.0 / 80.0;
|
||||
Amat(i + 3, i + 0) += B * (-7.0) / 80.0;
|
||||
Amat(i + 3, i + 1) += B * 3.0 / 10.0;
|
||||
Amat(i + 3, i + 2) += B * (-57.0) / 80.0;
|
||||
Amat(i + 3, i + 3) += B * 1.0 / 2.0;
|
||||
}
|
||||
|
||||
// AssembLe vector
|
||||
for (int i = 0; i < mat_dim - 3; i += 3) {
|
||||
b(i) -= D * L / 8.0;
|
||||
b(i + 1) -= D * 3.0 * L / 8.0;
|
||||
b(i + 2) -= D * 3.0 * L / 8.0;
|
||||
b(i + 3) -= D * L / 8.0;
|
||||
}
|
||||
|
||||
Amat.row(0).setZero();
|
||||
Amat(0, 0) = L / 3.0 + 1;
|
||||
Amat(0, 1) = -1;
|
||||
b(0) = 0;
|
||||
|
||||
Amat.row(mat_dim - 1).setZero();
|
||||
Amat(mat_dim - 1, mat_dim - 1) = 1;
|
||||
b(mat_dim - 1) = val2;
|
||||
|
||||
// Решение системы
|
||||
VectorXd solution = Amat.fullPivLu().solve(b);
|
||||
std::cout << "\nSolution:" << std::endl;
|
||||
std::cout << solution << std::endl;
|
||||
|
||||
std::ofstream file("matrix_cubic_" + std::to_string(N) + ".txt");
|
||||
for (int i = 0; i < solution.size(); i++) {
|
||||
file << solution(i) << ' ';
|
||||
}
|
||||
file << std::endl;
|
||||
}
|
||||
17
Solver.h
Normal file
17
Solver.h
Normal file
@@ -0,0 +1,17 @@
|
||||
#pragma once
|
||||
|
||||
class Solver {
|
||||
private:
|
||||
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20> <20><>
|
||||
double A, B, C, D;
|
||||
// <20><><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
||||
double L;
|
||||
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
|
||||
int N;
|
||||
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><>
|
||||
int upper, lower;
|
||||
public:
|
||||
Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u);
|
||||
void Execute_Linear(double value_1, double value_2);
|
||||
void Execute_Cubic(double value_1, double value_2);
|
||||
};
|
||||
@@ -8,34 +8,6 @@
|
||||
"# Solution of second-order linear ordinary differential equation"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "a4b21c72",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Input vars"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "6653253d",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"N = 20\n",
|
||||
"linear_file = f\"matrix_linear_{N}.txt\"\n",
|
||||
"cubic_file = f\"matrix_cubic_{N}.txt\""
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"id": "781047cc",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## System cells"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
@@ -65,7 +37,7 @@
|
||||
"id": "8af07a56",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"### Solution of $5u'' + 4u' + 1 = 0, u'(0) = u(0), u(10) = 5$"
|
||||
"## Solution of $5u'' + 4u' + 1 = 0, u'(0) = u(0), u(10) = 5$"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -84,7 +56,7 @@
|
||||
"id": "efac514a",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"### Linear element"
|
||||
"## Linear element"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -102,12 +74,12 @@
|
||||
" y = np.fromstring(data_str, sep=' ')\n",
|
||||
" y_real = u(x)\n",
|
||||
"\n",
|
||||
" plt.plot(x, y, label=\"Linear element solution\", color='blue')\n",
|
||||
" plt.plot(x, y, label=\"Linear element solution\", color='red')\n",
|
||||
" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
|
||||
" plt.title(f\"Linear element, elements = {elements}\")\n",
|
||||
" plt.grid(True)\n",
|
||||
" plt.xlabel(\"x\")\n",
|
||||
" plt.ylabel(\"u(x)\")\n",
|
||||
" plt.xlabel(\"X\")\n",
|
||||
" plt.ylabel(\"Y\")\n",
|
||||
" plt.legend()\n",
|
||||
" plt.savefig(f\"linear_{elements}.png\", dpi=300)\n",
|
||||
" plt.show()\n",
|
||||
@@ -120,7 +92,7 @@
|
||||
"id": "d9a38740",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"### Cubic element"
|
||||
"## Cubic element"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -138,11 +110,11 @@
|
||||
" y = np.fromstring(data_str, sep=' ')\n",
|
||||
" y_real = u(x)\n",
|
||||
"\n",
|
||||
" plt.plot(x, y, label=\"Cubic element solution\", color=\"red\")\n",
|
||||
" plt.plot(x, y, label=\"Cubic element solution\", color=\"green\")\n",
|
||||
" plt.plot(x, y_real, label=\"Numeral solution\", color='black')\n",
|
||||
" plt.title(f\"Cubic element, elements = {elements} \")\n",
|
||||
" plt.xlabel(\"x\")\n",
|
||||
" plt.ylabel(\"u(x)\")\n",
|
||||
" plt.xlabel(\"X\")\n",
|
||||
" plt.ylabel(\"Y\")\n",
|
||||
" plt.grid(True)\n",
|
||||
" plt.legend()\n",
|
||||
" plt.savefig(f\"cubic_{elements}.png\", dpi=300)\n",
|
||||
@@ -166,8 +138,9 @@
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"show_plot_linear(linear_file, N)\n",
|
||||
"show_plot_cubic(cubic_file, N)"
|
||||
"N = 20\n",
|
||||
"show_plot_linear(\"matrix_linear.txt\", N)\n",
|
||||
"show_plot_cubic(\"matrix_cubic.txt\", N)"
|
||||
]
|
||||
},
|
||||
{
|
||||
@@ -181,7 +154,7 @@
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "31de1104",
|
||||
"id": "e0e9266d",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
@@ -189,16 +162,8 @@
|
||||
" with open(filename, 'r') as file:\n",
|
||||
" content = file.read().strip()\n",
|
||||
" data = np.array([float(x) for x in content.split()])\n",
|
||||
" return data"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"id": "e0e9266d",
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
" return data\n",
|
||||
"\n",
|
||||
"def show_error(program_file: str, analytical_file: str):\n",
|
||||
" # Считывание данных из файлов\n",
|
||||
" real = read_data_from_file(analytical_file)\n",
|
||||
@@ -227,14 +192,13 @@
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"show_error(linear_file, f\"linear_real_y_{N}.txt\")\n",
|
||||
"show_error(cubic_file, f\"cubic_real_y_{N}.txt\")"
|
||||
"show_error(\"matrix_linear.txt\", \"linear_real_y_20.txt\")"
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3",
|
||||
"display_name": ".venv",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
|
||||
@@ -1,31 +0,0 @@
|
||||
// Особенности MSVC
|
||||
#define _SILENCE_EXPERIMENTAL_FILESYSTEM_DEPRECATION_WARNING
|
||||
|
||||
#pragma once
|
||||
#include <experimental/filesystem>
|
||||
using namespace std;
|
||||
using namespace std::experimental::filesystem;
|
||||
|
||||
class Solver {
|
||||
private:
|
||||
// Коэффициенты в ДУ
|
||||
double A, B, C, D;
|
||||
// Длина конечного элемента
|
||||
double L;
|
||||
// Количество конечных элементов
|
||||
int N;
|
||||
// Границы частного решения ДУ
|
||||
int upper, lower;
|
||||
public:
|
||||
Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u);
|
||||
void Execute_Linear(double value_1, double value_2);
|
||||
void Execute_Cubic(double value_1, double value_2);
|
||||
|
||||
bool check_path(string path) {
|
||||
return exists(path);
|
||||
}
|
||||
|
||||
void make_path(string path) {
|
||||
create_directory(path);
|
||||
}
|
||||
};
|
||||
@@ -1,4 +0,0 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<packages>
|
||||
<package id="Eigen" version="3.3.3" targetFramework="native" />
|
||||
</packages>
|
||||
@@ -1,18 +0,0 @@
|
||||
#include "Solver.h"
|
||||
#include "Header.h"
|
||||
#include <Eigen/Dense>
|
||||
#define A 5.
|
||||
#define B 4.
|
||||
#define C 0.
|
||||
#define D 1.
|
||||
|
||||
using namespace Eigen;
|
||||
int main() {
|
||||
std::cout << A << "u''" << " + " << B << "u'" << "+ " << C << "u + " << D << " = 0" << std::endl;
|
||||
Solver slv(A, B, C, D, 20, 0, 10);
|
||||
std::cout << "Linear element:";
|
||||
slv.Execute_Linear(0, 5);
|
||||
std::cout << "\nCubic element:";
|
||||
slv.Execute_Cubic(0, 5);
|
||||
return 0;
|
||||
}
|
||||
186
src/Solver.cpp
186
src/Solver.cpp
@@ -1,186 +0,0 @@
|
||||
#include "Header.h"
|
||||
#include <Eigen/Dense>
|
||||
using namespace Eigen;
|
||||
|
||||
Solver::Solver(double _A, double _B, double _C, double _D, int _N, int _l, int _u) {
|
||||
if (_N < 1)
|
||||
throw std::runtime_error("N CAN BE OVER THAN 1!");
|
||||
|
||||
A = _A, B = _B, C = _C, D = _D, N = _N;
|
||||
upper = _u, lower = _l;
|
||||
L = (double)(upper - lower) / N;
|
||||
}
|
||||
|
||||
void Solver::Execute_Linear(double val1, double val2) {
|
||||
|
||||
// Локальная матрица жёсткости
|
||||
MatrixXd local = MatrixXd::Zero(2, 2);
|
||||
|
||||
// Локальный вектор нагрузки
|
||||
VectorXd local_load(2);
|
||||
|
||||
local(0, 0) = -A / L - B / 2. + C * L / 2.;
|
||||
local(0, 1) = A / L + B / 2. + C * L / 2.;
|
||||
local(1, 0) = A / L - B / 2. + C * L / 2.;
|
||||
local(1, 1) = -A / L + B / 2. + C * L / 2.;
|
||||
|
||||
local_load(0) = -D * L / 2.;
|
||||
local_load(1) = -D * L / 2.;
|
||||
|
||||
// Глобальная матрица жёсткости
|
||||
MatrixXd ansamb = MatrixXd::Zero(N + 2, N + 2);
|
||||
|
||||
// Глобальный вектор нагрузок
|
||||
VectorXd global_load = VectorXd::Zero(N + 2);
|
||||
|
||||
// Ансамблирование (с учётом смещения на 1)
|
||||
for (int elem = 0; elem < N; ++elem) {
|
||||
int node_i = elem + 1;
|
||||
int node_j = elem + 2;
|
||||
|
||||
ansamb(node_i, node_i) += local(0, 0);
|
||||
ansamb(node_i, node_j) += local(0, 1);
|
||||
ansamb(node_j, node_i) += local(1, 0);
|
||||
ansamb(node_j, node_j) += local(1, 1);
|
||||
|
||||
global_load(node_i) += local_load(0);
|
||||
global_load(node_j) += local_load(1);
|
||||
}
|
||||
|
||||
#if DEBUG
|
||||
std::cout << std::endl << "Before:" << std::endl;
|
||||
std::cout << "Ansamb matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Ansamb load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Boundary conditions
|
||||
double u_right = val2;
|
||||
|
||||
// 3rd type of boundary condition
|
||||
ansamb.row(0).setZero();
|
||||
ansamb(0, 0) = 1;
|
||||
ansamb(0, 1) = -1;
|
||||
global_load(0) = 0;
|
||||
ansamb(1, 1) -= A;
|
||||
|
||||
// 1st type of boundary condition
|
||||
for (int i = 0; i < global_load.size(); ++i) {
|
||||
global_load(i) = global_load(i) - u_right * ansamb(i, N + 1);
|
||||
}
|
||||
ansamb.row(N + 1).setZero();
|
||||
ansamb.col(N + 1).setZero();
|
||||
ansamb(N + 1, N + 1) = 1;
|
||||
global_load(N + 1) = u_right;
|
||||
|
||||
#if DEBUG
|
||||
std::cout << "\nAfter:" << std::endl;
|
||||
std::cout << "Modified matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Modified load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Решение системы
|
||||
VectorXd solution = ansamb.fullPivLu().solve(global_load);
|
||||
std::cout << "\nSolution:" << std::endl;
|
||||
std::cout << solution << std::endl;
|
||||
|
||||
std::ofstream file("matrix_linear_" + std::to_string(N) + ".txt");
|
||||
for (int i = 1; i < solution.size(); i++) {
|
||||
file << solution(i) << ' ';
|
||||
}
|
||||
file << std::endl;
|
||||
}
|
||||
|
||||
void Solver::Execute_Cubic(double val1, double val2) {
|
||||
|
||||
int mat_dim = N * 3 + 2; // +2 для граничных узлов, как в линейном случае
|
||||
|
||||
// Локальная матрица жёсткости
|
||||
MatrixXd local = MatrixXd::Zero(4, 4);
|
||||
|
||||
// Локальный вектор нагрузки
|
||||
VectorXd local_load(4);
|
||||
|
||||
// Формирование локальной матрицы жёсткости
|
||||
local(0, 0) = -A * 37.0 / 10.0 / L + B * (-1.0) / 2.0 + C * 8. * L / 105.;
|
||||
local(0, 1) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0 + C * 33. * L / 560.;
|
||||
local(0, 2) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
|
||||
local(0, 3) = -A * (-13.0) / 40.0 / L + B * 7.0 / 80.0 + C * 19. * L / 1680.;
|
||||
|
||||
local(1, 0) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
|
||||
local(1, 1) = -A * 54.0 / 5.0 / L + C * 27. * L / 70.;
|
||||
local(1, 2) = -A * (-297.0) / 40.0 / L + B * 81.0 / 80.0 - C * 27. * L / 560.;
|
||||
local(1, 3) = -A * 27.0 / 20.0 / L + B * (-3.0) / 10.0 - C * 3. * L / 140.;
|
||||
|
||||
local(2, 0) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0 - C * 3. * L / 140.;
|
||||
local(2, 1) = -A * (-297.0) / 40.0 / L + B * (-81.0) / 80.0 - C * 27. * L / 560.;
|
||||
local(2, 2) = -A * 54.0 / 5.0 / L + C * 27. * L / 70.;
|
||||
local(2, 3) = -A * (-189.0) / 40.0 / L + B * 57.0 / 80.0 + C * 33. * L / 560.;
|
||||
|
||||
local(3, 0) = -A * (-13.0) / 40.0 / L + B * (-7.0) / 80.0 + C * 19. * L / 1680.;
|
||||
local(3, 1) = -A * 27.0 / 20.0 / L + B * 3.0 / 10.0 - C * 3. * L / 140.;
|
||||
local(3, 2) = -A * (-189.0) / 40.0 / L + B * (-57.0) / 80.0 + C * 33. * L / 560.;
|
||||
local(3, 3) = -A * 37.0 / 10.0 / L + B * 1.0 / 2.0 + C * 8. * L / 105.;
|
||||
|
||||
// Локальный вектор нагрузки
|
||||
local_load(0) = -D * L / 8.0;
|
||||
local_load(1) = -D * 3.0 * L / 8.0;
|
||||
local_load(2) = -D * 3.0 * L / 8.0;
|
||||
local_load(3) = -D * L / 8.0;
|
||||
|
||||
// Глобальные матрицы
|
||||
MatrixXd ansamb = MatrixXd::Zero(mat_dim, mat_dim);
|
||||
VectorXd global_load = VectorXd::Zero(mat_dim);
|
||||
|
||||
// Ансамблирование (со смещением на 1, как в линейной версии)
|
||||
for (int elem = 0; elem < N; ++elem) {
|
||||
int node_i = 1 + elem * 3; // смещение на 1
|
||||
for (int i = 0; i < 4; ++i) {
|
||||
for (int j = 0; j < 4; ++j) {
|
||||
ansamb(node_i + i, node_i + j) += local(i, j);
|
||||
}
|
||||
global_load(node_i + i) += local_load(i);
|
||||
}
|
||||
}
|
||||
|
||||
#if DEBUG
|
||||
std::cout << std::endl << "Before:" << std::endl;
|
||||
std::cout << "Ansamb matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Ansamb load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Граничные условия
|
||||
double u_right = val2;
|
||||
|
||||
// 3rd type of boundary condition
|
||||
ansamb.row(0).setZero();
|
||||
ansamb(0, 0) = 1;
|
||||
ansamb(0, 1) = -1;
|
||||
global_load(0) = 0;
|
||||
ansamb(1, 1) -= A;
|
||||
|
||||
// 1st type of boundary condition
|
||||
for (int i = 0; i < global_load.size(); ++i) {
|
||||
global_load(i) = global_load(i) - u_right * ansamb(i, mat_dim - 1);
|
||||
}
|
||||
ansamb.row(mat_dim - 1).setZero();
|
||||
ansamb.col(mat_dim - 1).setZero();
|
||||
ansamb(mat_dim - 1, mat_dim - 1) = 1;
|
||||
global_load(mat_dim - 1) = u_right;
|
||||
|
||||
#if DEBUG
|
||||
std::cout << "\nAfter:" << std::endl;
|
||||
std::cout << "Modified matrix:\n" << ansamb << std::endl;
|
||||
std::cout << "Modified load vector:\n" << global_load << std::endl;
|
||||
#endif
|
||||
|
||||
// Решение системы
|
||||
VectorXd solution = ansamb.fullPivLu().solve(global_load);
|
||||
std::cout << "\nSolution:" << std::endl;
|
||||
std::cout << solution << std::endl;
|
||||
|
||||
std::ofstream file("matrix_cubic_" + std::to_string(N) + ".txt");
|
||||
for (int i = 1; i < solution.size(); i++) {
|
||||
file << solution(i) << ' ';
|
||||
}
|
||||
file << std::endl;
|
||||
}
|
||||
Reference in New Issue
Block a user