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@@ -0,0 +1,42 @@
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||||
|
||||
Microsoft Visual Studio Solution File, Format Version 12.00
|
||||
# Visual Studio Version 17
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||||
VisualStudioVersion = 17.12.35707.178
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MinimumVisualStudioVersion = 10.0.40219.1
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Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Main_program", "MemMAPR_winda.vcxproj", "{86DC468D-3A9F-48AB-80FC-059A120499AA}"
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EndProject
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Project("{888888A0-9F3D-457C-B088-3A5042F75D52}") = "MemMAPR_visual", "..\MemMAPR_visual\MemMAPR_visual.pyproj", "{C56779D9-6429-49A0-8E09-0AE6A666EA21}"
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Global
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GlobalSection(SolutionConfigurationPlatforms) = preSolution
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Debug|Any CPU = Debug|Any CPU
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Debug|x64 = Debug|x64
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Debug|x86 = Debug|x86
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Release|Any CPU = Release|Any CPU
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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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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Debug|Any CPU.ActiveCfg = Debug|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Debug|x64.Build.0 = Debug|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Debug|x86.ActiveCfg = Debug|Win32
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Debug|x86.Build.0 = Debug|Win32
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|Any CPU.ActiveCfg = Release|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|Any CPU.Build.0 = Release|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|x64.ActiveCfg = Release|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|x64.Build.0 = Release|x64
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|x86.ActiveCfg = Release|Win32
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{86DC468D-3A9F-48AB-80FC-059A120499AA}.Release|x86.Build.0 = Release|Win32
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Debug|x64.ActiveCfg = Debug|Any CPU
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Debug|x86.ActiveCfg = Debug|Any CPU
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Release|Any CPU.ActiveCfg = Release|Any CPU
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Release|x64.ActiveCfg = Release|Any CPU
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{C56779D9-6429-49A0-8E09-0AE6A666EA21}.Release|x86.ActiveCfg = Release|Any CPU
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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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EndGlobal
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@@ -0,0 +1,171 @@
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<?xml version="1.0" encoding="utf-8"?>
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<Project DefaultTargets="Build" 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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<ProjectConfiguration Include="Release|Win32">
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<Configuration>Release</Configuration>
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<Platform>Win32</Platform>
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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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<PropertyGroup Label="Globals">
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<Keyword>Win32Proj</Keyword>
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<ProjectGuid>{86dc468d-3a9f-48ab-80fc-059a120499aa}</ProjectGuid>
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<RootNamespace>MemMAPRwinda</RootNamespace>
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<WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
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<ProjectName>MemMAPR_main</ProjectName>
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<Target Name="EnsureNuGetPackageBuildImports" BeforeTargets="PrepareForBuild">
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<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>
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@@ -0,0 +1,72 @@
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@@ -0,0 +1,10 @@
|
||||
set cbrange [0:100]
|
||||
set size ratio 0.8
|
||||
unset key
|
||||
|
||||
set palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)
|
||||
|
||||
do for [i=0:99]{
|
||||
plot 'explicit10.txt' u 1:2:3 index i w points pt 5 palette
|
||||
pause 1e-09}
|
||||
pause mouse
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||||
@@ -0,0 +1,10 @@
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||||
set cbrange [0:100]
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set size ratio 0.8
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||||
unset key
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||||
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||||
set palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)
|
||||
|
||||
do for [i=0:99]{
|
||||
plot 'explicit5.txt' u 1:2:3 index i w points pt 5 palette
|
||||
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pause mouse
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+777900
File diff suppressed because it is too large
Load Diff
+201800
File diff suppressed because it is too large
Load Diff
+777900
File diff suppressed because it is too large
Load Diff
@@ -0,0 +1,28 @@
|
||||
#ifndef MIMAPR_FORM_H
|
||||
#define MIMAPR_FORM_H
|
||||
#include <iostream>
|
||||
#include <algorithm>
|
||||
#include <cmath>
|
||||
#include <map>
|
||||
|
||||
class Form {
|
||||
protected:
|
||||
static size_t counter_;
|
||||
size_t id_;
|
||||
bool excluded_;
|
||||
int _boundtype;
|
||||
public:
|
||||
Form();
|
||||
virtual double Function(double, double);
|
||||
virtual std::pair<double, double> Deriative(double, double);
|
||||
virtual bool Inhere(double, double);
|
||||
virtual std::pair<double, double> missX(double);
|
||||
virtual std::pair<double, double> missY(double);
|
||||
virtual std::pair<double, double> size();
|
||||
virtual int GetB();
|
||||
bool Excluded() const;
|
||||
bool operator==(size_t) const;
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,29 @@
|
||||
#ifndef MIMAPR_MESH_H
|
||||
#define MIMAPR_MESH_H
|
||||
|
||||
#include <vector>
|
||||
#include "Object.hpp"
|
||||
#include "Node.hpp"
|
||||
|
||||
class Mesh{
|
||||
std::vector<std::vector<Node*>> _mesh;
|
||||
std::vector<Node*> _hlines;
|
||||
std::vector<Node*> _vlines;
|
||||
Object& _obj;
|
||||
double _step;
|
||||
void LinkX();
|
||||
void LinkY();
|
||||
void Delnode(int, int);
|
||||
void Adapt();
|
||||
|
||||
public:
|
||||
Mesh(Object&, double);
|
||||
void ShowLinks();
|
||||
std::vector<std::vector<Node*>>& Nodes();
|
||||
std::vector<Node*>& LineX();
|
||||
std::vector<Node*>& LineY();
|
||||
~Mesh();
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,34 @@
|
||||
#ifndef MIMAPR_NODE_H
|
||||
#define MIMAPR_NODE_H
|
||||
|
||||
#include <cmath>
|
||||
|
||||
class Node{
|
||||
double _x;
|
||||
double _y;
|
||||
double _t;
|
||||
int _btype;
|
||||
|
||||
Node* _left;
|
||||
Node* _right;
|
||||
Node* _above;
|
||||
Node* _below;
|
||||
public:
|
||||
Node(double x = 0., double y = 0., int type = 0., double t = 0.): _x(x), _y(y), _t(t), _left(nullptr), _right(nullptr), _above(nullptr), _below(nullptr), _btype(type) {}
|
||||
double T() const;
|
||||
double X() const;
|
||||
double Y() const;
|
||||
double Dist(const Node*) const;
|
||||
void LinkX(Node*, Node*);
|
||||
void LinkY(Node*, Node*);
|
||||
Node*& l();
|
||||
Node*& r();
|
||||
Node*& u();
|
||||
Node*& d();
|
||||
void SetT(double);
|
||||
bool IsBound();
|
||||
void SetB(int);
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,30 @@
|
||||
#ifndef MIMAPR_OBJECT_H
|
||||
#define MIMAPR_OBJECT_H
|
||||
|
||||
#include "Primitives.hpp"
|
||||
#include <vector>
|
||||
|
||||
class Object {
|
||||
private:
|
||||
std::vector<Form*> forms_;
|
||||
double _w;
|
||||
double _h;
|
||||
void Updsize();
|
||||
public:
|
||||
Object();
|
||||
~Object();
|
||||
|
||||
double Inhere(double, double);
|
||||
double Width() const;
|
||||
double Height() const;
|
||||
bool Add_Form(const std::string&, std::map<std::string, double>&, bool, int);
|
||||
|
||||
std::pair<double, double> Filly(double, double);
|
||||
std::pair<double, double> Fillx(double, double);
|
||||
|
||||
//std::vector<size_t> Get_IDs();
|
||||
Form* Who(double, double);
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,54 @@
|
||||
#ifndef MIMAPR_PRIMITIVES_H
|
||||
#define MIMAPR_PRIMITIVES_H
|
||||
|
||||
#include "Form.hpp"
|
||||
|
||||
class Rectangle : public Form {
|
||||
private:
|
||||
double a_;
|
||||
double b_;
|
||||
double h_x_;
|
||||
double h_y_;
|
||||
public:
|
||||
Rectangle(double, double, double, double, bool, int);
|
||||
double Function(double, double) override;
|
||||
std::pair<double, double> Deriative(double, double) override;
|
||||
bool Inhere(double, double) override;
|
||||
std::pair<double, double> missX(double) override;
|
||||
std::pair<double, double> missY(double) override;
|
||||
std::pair<double, double> size() override;
|
||||
};
|
||||
class Circle : public Form {
|
||||
private:
|
||||
double a_;
|
||||
double b_;
|
||||
double h_x_;
|
||||
double h_y_;
|
||||
public:
|
||||
Circle(double, double, double, double, bool, int);
|
||||
double Function(double, double) override;
|
||||
std::pair<double, double> Deriative(double, double) override;
|
||||
bool Inhere(double, double) override;
|
||||
std::pair<double, double> missX(double) override;
|
||||
std::pair<double, double> missY(double) override;
|
||||
std::pair<double, double> size() override;
|
||||
};
|
||||
|
||||
class Arc : public Form {
|
||||
private:
|
||||
double a_;
|
||||
double b_;
|
||||
double h_x_;
|
||||
double h_y_;
|
||||
public:
|
||||
Arc(double, double, double, double, bool, int);
|
||||
double Function(double, double) override;
|
||||
std::pair<double, double> Deriative(double, double) override;
|
||||
std::pair<double, double> missX(double) override;
|
||||
std::pair<double, double> missY(double) override;
|
||||
std::pair<double, double> size() override;
|
||||
bool Inhere(double, double) override;
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,21 @@
|
||||
#ifndef SOLVER_H
|
||||
#define SOLVER_H
|
||||
|
||||
#include <System.hpp>
|
||||
#include <string>
|
||||
#include <fstream>
|
||||
|
||||
class Solver{
|
||||
double delta;
|
||||
std::vector<double> ThomasMethod(std::vector<std::vector<double>>&, std::vector<double>&) const;
|
||||
void SolveLine(System&, std::vector<Node*>&) const;
|
||||
std::string _name_1;
|
||||
std::string _name_2;
|
||||
public:
|
||||
Solver(std::string name_1, std::string name_2, double dt = 1.): delta(dt), _name_1(name_1), _name_2(name_2) {}
|
||||
void SolveExplicit(System&, double) const;
|
||||
void SolveImplicit(System&, double) const;
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,24 @@
|
||||
#ifndef SYSTEM_H
|
||||
#define SYSTEM_H
|
||||
|
||||
#include "Mesh.hpp"
|
||||
|
||||
class System{
|
||||
Object& _obj;
|
||||
Mesh _mesh;
|
||||
double _a1;
|
||||
double _a2;
|
||||
double _step;
|
||||
public:
|
||||
System(Object& obj, double step = 10., double a1 = 1., double a2 = 1.): _obj(obj), _mesh(obj, step), _a1(a1), _a2(a2), _step(step) {}
|
||||
void DefineBounds(int, int, int, int);
|
||||
std::vector<std::vector<Node*>>& Nodes();
|
||||
std::vector<Node*>& LineX();
|
||||
std::vector<Node*>& LineY();
|
||||
double step() const { return _step; }
|
||||
double a1() const { return _a1; };
|
||||
double a2() const { return _a2; };
|
||||
};
|
||||
|
||||
#endif
|
||||
|
||||
@@ -0,0 +1,10 @@
|
||||
set cbrange [0:100]
|
||||
set size ratio 0.8
|
||||
unset key
|
||||
|
||||
set palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)
|
||||
|
||||
do for [i=0:99]{
|
||||
plot 'implicit10.txt' u 1:2:3 index i w points pt 5 palette
|
||||
pause 1e-09}
|
||||
pause mouse
|
||||
@@ -0,0 +1,10 @@
|
||||
set cbrange [0:100]
|
||||
set size ratio 0.8
|
||||
unset key
|
||||
|
||||
set palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)
|
||||
|
||||
do for [i=0:99]{
|
||||
plot 'implicit5.txt' u 1:2:3 index i w points pt 5 palette
|
||||
pause 1e-09}
|
||||
pause mouse
|
||||
@@ -0,0 +1,4 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<packages>
|
||||
<package id="Eigen" version="3.3.3" targetFramework="native" />
|
||||
</packages>
|
||||
@@ -0,0 +1,43 @@
|
||||
#include "Form.hpp"
|
||||
|
||||
size_t Form::counter_ = 0;
|
||||
|
||||
double Form::Function(double, double) {
|
||||
return 0;
|
||||
}
|
||||
|
||||
std::pair<double, double> Form::Deriative(double, double) {
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
std::pair<double, double> Form::size() {
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
bool Form::Inhere(double, double) {
|
||||
return false;
|
||||
}
|
||||
|
||||
std::pair<double, double> Form::missX(double) {
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
std::pair<double, double> Form::missY(double) {
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
Form::Form() {
|
||||
id_ = counter_++;
|
||||
excluded_ = false;
|
||||
_boundtype = -1;
|
||||
}
|
||||
|
||||
bool Form::Excluded() const {
|
||||
return excluded_;
|
||||
}
|
||||
|
||||
int Form::GetB() { return _boundtype; }
|
||||
|
||||
bool Form::operator==(size_t id) const {
|
||||
return id_ == id;
|
||||
}
|
||||
+165
@@ -0,0 +1,165 @@
|
||||
#include "Mesh.hpp"
|
||||
#include <iostream>
|
||||
#include <Object.hpp>
|
||||
|
||||
Mesh::Mesh(Object& obj, double step) : _obj(obj), _step(step) {
|
||||
|
||||
for (double y = 0.0; y <= _obj.Height(); y += _step) {
|
||||
_mesh.push_back(std::vector<Node*>());
|
||||
for (double x = 0.0; x <= _obj.Width(); x += _step) {
|
||||
_mesh.back().push_back(new Node(x, y));
|
||||
}
|
||||
}
|
||||
LinkX();
|
||||
LinkY();
|
||||
Adapt();
|
||||
}
|
||||
|
||||
void Mesh::LinkX() {
|
||||
|
||||
for (int i = 0; i < _mesh.size(); i++) {
|
||||
_mesh[i][0]->LinkX(nullptr, _mesh[i][1]);
|
||||
for (int j = 1; j < _mesh[i].size() - 1; j++)
|
||||
_mesh[i][j]->LinkX(_mesh[i][j - 1], _mesh[i][j + 1]);
|
||||
_mesh[i].back()->LinkX(_mesh[i][_mesh[i].size() - 2], nullptr);
|
||||
}
|
||||
for (int i = 0; i < _mesh.size(); i++)
|
||||
_hlines.push_back(_mesh[i][0]);
|
||||
}
|
||||
|
||||
|
||||
void Mesh::LinkY() {
|
||||
for (int j = 0; j < _mesh[0].size(); j++) {
|
||||
_mesh[0][j]->LinkY(nullptr, _mesh[1][j]);
|
||||
for (int i = 1; i < _mesh.size() - 1; i++)
|
||||
_mesh[i][j]->LinkY(_mesh[i - 1][j], _mesh[i + 1][j]);
|
||||
_mesh[_mesh.size() - 1][j]->LinkY(_mesh[_mesh.size() - 2][j], nullptr);
|
||||
}
|
||||
for (int i = 0; i < _mesh[0].size(); i++)
|
||||
_vlines.push_back(_mesh[0][i]);
|
||||
}
|
||||
|
||||
|
||||
void Mesh::Adapt() {
|
||||
for (int i = 0; i < _mesh.size(); i++) {
|
||||
int s = _mesh[i].size();
|
||||
for (int j = 0; j < s; j++) {
|
||||
if (!_obj.Inhere(_mesh[i][j]->X(), _mesh[i][j]->Y())) {
|
||||
Delnode(i, j);
|
||||
j--;
|
||||
s--;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
void Mesh::ShowLinks() {
|
||||
for (auto line : _mesh) {
|
||||
for (auto node : line) {
|
||||
if (node->d())
|
||||
std::cout << "| ";
|
||||
}
|
||||
std::cout << '\n';
|
||||
for (auto node : line) {
|
||||
if (node->l()) {
|
||||
std::cout << '-';
|
||||
}
|
||||
std::cout << 'N';
|
||||
if (node->r()) {
|
||||
std::cout << '-';
|
||||
}
|
||||
else {
|
||||
std::cout << '\n';
|
||||
}
|
||||
}
|
||||
for (auto node : line) {
|
||||
if (node->u())
|
||||
std::cout << "|";
|
||||
std::cout << " ";
|
||||
|
||||
}
|
||||
std::cout << '\n';
|
||||
}
|
||||
}
|
||||
|
||||
void Mesh::Delnode(int i, int j) {
|
||||
Node* node = _mesh[i][j];
|
||||
double bndX1 = _obj.Fillx(node->X(), node->Y()).first;
|
||||
double bndX2 = _obj.Fillx(node->X(), node->Y()).second;
|
||||
double bndY1 = _obj.Filly(node->X(), node->Y()).first;
|
||||
double bndY2 = _obj.Filly(node->X(), node->Y()).second;
|
||||
int btype = _obj.Who(node->X(), node->Y())->GetB();
|
||||
if (node->l()) {
|
||||
if (node->l()->X() != bndX2 && node->l()->X() != bndX1) {
|
||||
if (bndX1 != bndX2) {
|
||||
Node* left = new Node(bndX2, node->Y(), btype);
|
||||
Node* right = new Node(bndX1, node->Y(), btype);
|
||||
node->l()->r() = left;
|
||||
if (node->r())
|
||||
node->r()->l() = right;
|
||||
left->LinkX(node->l(), right);
|
||||
right->LinkX(left, node->r());
|
||||
node->l() = right;
|
||||
_mesh[i].push_back(left);
|
||||
_mesh[i].push_back(right);
|
||||
}
|
||||
else {
|
||||
Node* left = new Node(bndX2, node->Y(), btype);
|
||||
node->l()->r() = left;
|
||||
if (node->r())
|
||||
node->r()->l() = left;
|
||||
left->LinkX(node->l(), node->r());
|
||||
node->l() = left;
|
||||
_mesh[i].push_back(left);
|
||||
}
|
||||
}
|
||||
else
|
||||
node->l()->r() = node->r();
|
||||
}
|
||||
if (node->r()) {
|
||||
node->r()->l() = node->l();
|
||||
}
|
||||
if (node->d()) {
|
||||
if (node->d()->Y() != bndY2 && node->d()->Y() != bndY1) {
|
||||
if (bndY2 != bndY1) {
|
||||
Node* down = new Node(node->X(), bndY2, btype);
|
||||
Node* up = new Node(node->X(), bndY1, btype);
|
||||
node->d()->u() = down;
|
||||
if (node->u())
|
||||
node->u()->d() = up;
|
||||
down->LinkY(node->d(), up);
|
||||
up->LinkY(down, node->u());
|
||||
node->d() = up;
|
||||
_mesh[i].push_back(down);
|
||||
_mesh[i].push_back(up);
|
||||
}
|
||||
else {
|
||||
Node* down = new Node(node->X(), bndY2, btype);
|
||||
node->d()->u() = down;
|
||||
if (node->u())
|
||||
node->u()->d() = down;
|
||||
down->LinkY(node->d(), node->u());
|
||||
node->d() = down;
|
||||
_mesh[i].push_back(down);
|
||||
}
|
||||
}
|
||||
else
|
||||
node->d()->u() = node->u();
|
||||
}
|
||||
if (node->u()) {
|
||||
node->u()->d() = node->d();
|
||||
}
|
||||
_mesh[i].erase(_mesh[i].begin() + j);
|
||||
delete node;
|
||||
}
|
||||
std::vector<std::vector<Node*>>& Mesh::Nodes() { return _mesh; }
|
||||
std::vector<Node*>& Mesh::LineX() { return _hlines; }
|
||||
std::vector<Node*>& Mesh::LineY() { return _vlines; }
|
||||
Mesh::~Mesh() {
|
||||
for (auto line : _mesh)
|
||||
for (auto node : line)
|
||||
delete node;
|
||||
}
|
||||
|
||||
|
||||
|
||||
@@ -0,0 +1,87 @@
|
||||
#include "Node.hpp"
|
||||
#include <iostream>
|
||||
double Node::X() const { return _x; }
|
||||
double Node::Y() const { return _y; }
|
||||
double Node::T() const {
|
||||
if (_btype == 1)
|
||||
return 100.;
|
||||
|
||||
if (_btype == 2) {
|
||||
if (!_left)
|
||||
if (_right)
|
||||
return _right->T();
|
||||
if (!_right)
|
||||
if (_left)
|
||||
return _left->T();
|
||||
if (!_above)
|
||||
if (_below)
|
||||
return _below->T();
|
||||
if (!_below)
|
||||
if (_above)
|
||||
return _above->T();
|
||||
if (_right && _left) {
|
||||
if (_right->IsBound())
|
||||
return _left->T();
|
||||
return _right->T();
|
||||
}
|
||||
if (_above && _below) {
|
||||
if (_above->IsBound())
|
||||
return _below->T();
|
||||
return _above->T();
|
||||
}
|
||||
}
|
||||
|
||||
if (_btype == 3) {
|
||||
if (!_left)
|
||||
if (_right)
|
||||
return _right->T() / (1 + Dist(_right));
|
||||
if (!_right)
|
||||
if (_left)
|
||||
return _left->T() / (1 + Dist(_left));
|
||||
if (!_above)
|
||||
if (_below)
|
||||
return _below->T() / (1 + Dist(_below));
|
||||
if (!_below)
|
||||
if (_above)
|
||||
return _above->T() / (1 + Dist(_above));
|
||||
if (_right && _left) {
|
||||
if (_right->IsBound())
|
||||
return _left->T() / (1 + Dist(_left));
|
||||
return _right->T() / (1 + Dist(_right));
|
||||
}
|
||||
if (_above && _below) {
|
||||
if (_above->IsBound())
|
||||
return _below->T() / (1 + Dist(_below));
|
||||
return _above->T() / (1 + Dist(_above));
|
||||
}
|
||||
}
|
||||
|
||||
return _t;
|
||||
}
|
||||
|
||||
double Node::Dist(const Node* to) const {
|
||||
return std::sqrt(pow(X() - to->X(), 2) + pow(Y() - to->Y(), 2));
|
||||
}
|
||||
|
||||
Node*& Node::l() { return _left; }
|
||||
Node*& Node::r() { return _right; }
|
||||
Node*& Node::u() { return _above; }
|
||||
Node*& Node::d() { return _below; }
|
||||
|
||||
void Node::LinkX(Node* l, Node* r) {
|
||||
_left = l;
|
||||
_right = r;
|
||||
}
|
||||
|
||||
void Node::LinkY(Node* d, Node* u) {
|
||||
_below = d;
|
||||
_above = u;
|
||||
}
|
||||
|
||||
void Node::SetT(double t) {
|
||||
_t = t;
|
||||
}
|
||||
|
||||
bool Node::IsBound() { return _btype; }
|
||||
void Node::SetB(int type) { _btype = type; }
|
||||
|
||||
@@ -0,0 +1,97 @@
|
||||
#include "Object.hpp"
|
||||
|
||||
Object::Object() : _w(0), _h(0) {}
|
||||
|
||||
double Object::Inhere(double x, double y) {
|
||||
for (auto form : forms_) {
|
||||
if (form->Excluded()) {
|
||||
if (form->Inhere(x, y)) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
else {
|
||||
if (form->Inhere(x, y)) {
|
||||
return true;
|
||||
}
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
void Object::Updsize() {
|
||||
for (auto form : forms_) {
|
||||
_w = std::max(_w, form->size().first);
|
||||
_h = std::max(_h, form->size().second);
|
||||
}
|
||||
}
|
||||
|
||||
bool Object::Add_Form(const std::string& name, std::map<std::string, double>& args, bool excluded, int btype) {
|
||||
if (name == "Rectangle") {
|
||||
forms_.push_back(new Rectangle(args["a"], args["b"], args["h_x"], args["h_y"], excluded, btype));
|
||||
Updsize();
|
||||
return true;
|
||||
}
|
||||
else if (name == "Circle") {
|
||||
forms_.push_back(new Circle(args["a"], args["b"], args["h_x"], args["h_y"], excluded, btype));
|
||||
Updsize();
|
||||
return true;
|
||||
}
|
||||
else if (name == "Arc") {
|
||||
forms_.push_back(new Arc(args["a"], args["b"], args["h_x"], args["h_y"], excluded, btype));
|
||||
Updsize();
|
||||
return true;
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
|
||||
|
||||
std::pair<double, double> Object::Fillx(double x, double y) {
|
||||
for (auto form : forms_) {
|
||||
if (form->Inhere(x, y)) {
|
||||
return form->missX(y);
|
||||
}
|
||||
}
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
std::pair<double, double> Object::Filly(double x, double y) {
|
||||
for (auto form : forms_) {
|
||||
if (form->Inhere(x, y)) {
|
||||
return form->missY(x);
|
||||
}
|
||||
}
|
||||
return { 0, 0 };
|
||||
}
|
||||
|
||||
double Object::Width() const {
|
||||
return _w;
|
||||
}
|
||||
|
||||
double Object::Height() const {
|
||||
return _h;
|
||||
}
|
||||
|
||||
//std::vector<size_t> Object::Get_IDs() {
|
||||
// std::vector<size_t> ids;
|
||||
// ids.reserve(forms_.size());
|
||||
// for (auto form : forms_) {
|
||||
// ids.push_back(form->Get_ID());
|
||||
// }
|
||||
// return ids;
|
||||
//}
|
||||
|
||||
Form* Object::Who(double x, double y) {
|
||||
for (auto form : forms_) {
|
||||
if (form->Inhere(x, y)) {
|
||||
return form;
|
||||
}
|
||||
|
||||
}
|
||||
return forms_.back();
|
||||
}
|
||||
Object::~Object() {
|
||||
for (auto form : forms_)
|
||||
delete form;
|
||||
}
|
||||
|
||||
@@ -0,0 +1,98 @@
|
||||
#include "Primitives.hpp"
|
||||
|
||||
Rectangle::Rectangle(double a, double b, double h_x, double h_y, bool excluded, int btype) : a_(a), b_(b), h_x_(h_x), h_y_(h_y) {
|
||||
excluded_ = excluded;
|
||||
_boundtype = btype;
|
||||
}
|
||||
|
||||
std::pair<double, double> Rectangle::missX(double y) {
|
||||
return { 0.5 / h_x_ + a_, -0.5 / h_x_ + a_ };
|
||||
}
|
||||
std::pair<double, double> Rectangle::missY(double x) {
|
||||
return { 0.5 / h_y_ + b_, -0.5 / h_y_ + b_ };
|
||||
}
|
||||
|
||||
std::pair<double, double> Rectangle::size() {
|
||||
return { 1 / h_x_, 1 / h_y_ };
|
||||
}
|
||||
|
||||
double Rectangle::Function(double x, double y) {
|
||||
return std::max(h_x_ * std::abs(x - a_), h_y_ * std::abs(y - b_));
|
||||
}
|
||||
|
||||
std::pair<double, double> Rectangle::Deriative(double x, double y) {
|
||||
return { (h_x_ / 2) * ((x - a_) / std::abs(x - a_)), (h_y_ / 2) * ((y - b_) / std::abs(y - b_)) };
|
||||
}
|
||||
|
||||
bool Rectangle::Inhere(double x, double y) {
|
||||
return Function(x, y) <= 0.5;
|
||||
}
|
||||
|
||||
Circle::Circle(double a, double b, double h_x, double h_y, bool excluded, int btype) : a_(a), b_(b), h_x_(h_x), h_y_(h_y) {
|
||||
excluded_ = excluded;
|
||||
_boundtype = btype;
|
||||
}
|
||||
|
||||
std::pair<double, double> Circle::missY(double x) {
|
||||
return { std::sqrt(1 - pow((h_x_ * (x - a_)), 2)) / h_y_ + b_, -std::sqrt(1 - pow((h_x_ * (x - a_)), 2)) / h_y_ + b_ };
|
||||
}
|
||||
std::pair<double, double> Circle::missX(double y) {
|
||||
return { std::sqrt(1 - pow((h_y_ * (y - b_)), 2)) / h_x_ + a_, -std::sqrt(1 - pow((h_y_ * (y - b_)), 2)) / h_x_ + a_ };
|
||||
}
|
||||
|
||||
double Circle::Function(double x, double y) {
|
||||
return pow(h_x_ * (x - a_), 2) + pow(h_y_ * (y - b_), 2);
|
||||
}
|
||||
|
||||
std::pair<double, double> Circle::Deriative(double x, double y) {
|
||||
return { 2 * h_x_ * (x - a_), 2 * h_y_ * (y - b_) };
|
||||
}
|
||||
|
||||
std::pair<double, double> Circle::size() {
|
||||
return { 1 / h_x_, 1 / h_y_ };
|
||||
}
|
||||
|
||||
bool Circle::Inhere(double x, double y) {
|
||||
return Function(x, y) <= 1;
|
||||
}
|
||||
|
||||
Arc::Arc(double a, double b, double h_x, double h_y, bool excluded, int btype) : a_(a), b_(b), h_x_(h_x), h_y_(h_y) {
|
||||
excluded_ = excluded;
|
||||
_boundtype = btype;
|
||||
}
|
||||
|
||||
std::pair<double, double> Arc::missY(double x) {
|
||||
return { std::sqrt(1 - pow((h_x_ * (x - a_)), 2)) / h_y_ + b_, std::sqrt(1 - pow((h_x_ * (x - a_)), 2)) / h_y_ + b_ };
|
||||
}
|
||||
std::pair<double, double> Arc::missX(double y) {
|
||||
return { std::sqrt(1 - pow((h_y_ * (y - b_)), 2)) / h_x_ + a_, std::sqrt(1 - pow((h_y_ * (y - b_)), 2)) / h_x_ + a_ };
|
||||
}
|
||||
|
||||
double Arc::Function(double x, double y) {
|
||||
if (x >= a_ && y >= b_) {
|
||||
return pow(h_x_ * (x - a_), 2) + pow(h_y_ * (y - b_), 2);
|
||||
}
|
||||
return -1.0;
|
||||
}
|
||||
|
||||
std::pair<double, double> Arc::Deriative(double x, double y) {
|
||||
if (x >= a_ && y >= b_) {
|
||||
return { 2 * h_x_ * (x - a_), 2 * h_y_ * (y - b_) };
|
||||
}
|
||||
if (x < a_) {
|
||||
std::cout << "x < a\n";
|
||||
}
|
||||
if (y < b_) {
|
||||
std::cout << "y < b\n";
|
||||
}
|
||||
return { -1.0, -1.0 };
|
||||
}
|
||||
|
||||
std::pair<double, double> Arc::size() {
|
||||
return { 1 / h_x_, 1 / h_y_ };
|
||||
}
|
||||
|
||||
bool Arc::Inhere(double x, double y) {
|
||||
return Function(x, y) >= 1;
|
||||
}
|
||||
|
||||
+133
@@ -0,0 +1,133 @@
|
||||
#include "Solver.hpp"
|
||||
void Solver::SolveExplicit(System& program, double tstop) const {
|
||||
std::ofstream ExplicitOut(_name_1);
|
||||
for (double t = 0.0; t < tstop; t += delta) {
|
||||
/* Îáðàáîòêà óçëîâ ïî îñè X */
|
||||
for (int i = 1; i < program.LineX().size() - 1; i++) {
|
||||
std::vector<Node*> temperature;
|
||||
Node* cur = program.LineX()[i];
|
||||
while (cur) {
|
||||
/* Ïðîâåðêà íà ñóùåñòâîâàíèå óçëà */
|
||||
if (cur->r() && cur->r()->X() - cur->X() > program.step()) {
|
||||
temperature.push_back(cur);
|
||||
SolveLine(program, temperature);
|
||||
temperature.clear();
|
||||
cur = cur->r();
|
||||
}
|
||||
else {
|
||||
temperature.push_back(cur);
|
||||
cur = cur->r();
|
||||
}
|
||||
}
|
||||
SolveLine(program, temperature);
|
||||
}
|
||||
/* Îáðàáîòêà óçëîâ ïî îñè Y */
|
||||
for (int i = 1; i < program.LineY().size() - 1; i++) {
|
||||
std::vector<Node*> temperature;
|
||||
Node* cur = program.LineY()[i];
|
||||
while (cur) {
|
||||
/* Ïðîâåðêà íà ñóùåñòâîâàíèå óçëà */
|
||||
if (cur->u() && cur->u()->Y() - cur->Y() > program.step()) {
|
||||
temperature.push_back(cur);
|
||||
SolveLine(program, temperature);
|
||||
temperature.clear();
|
||||
cur = cur->u();
|
||||
}
|
||||
else {
|
||||
temperature.push_back(cur);
|
||||
cur = cur->u();
|
||||
}
|
||||
}
|
||||
SolveLine(program, temperature);
|
||||
}
|
||||
for (auto line : program.Nodes()) {
|
||||
for (auto node : line)
|
||||
ExplicitOut << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
|
||||
}
|
||||
ExplicitOut << "\n\n";
|
||||
}
|
||||
}
|
||||
|
||||
void Solver::SolveImplicit(System& sys, double tstop) const {
|
||||
std::ofstream EmplicitOut(_name_2);
|
||||
for (double t = 0.; t < tstop; t += delta) {
|
||||
for (auto line : sys.Nodes())
|
||||
for (auto node : line) {
|
||||
/* Ïðîâåðêà íà âíóòðåííèé óçåë */
|
||||
if (!node->IsBound()) {
|
||||
/* Tx = T_right - 2T_current + T_left / delta_x ^ 2 */
|
||||
/* Ty = T_upper - 2T_current + T_down / delta_y ^ 2*/
|
||||
/* T_new = delta_t * a * (delta_x + delta_y) + T_current
|
||||
(äëÿ óäîáñòâà êîýýôèöèåíò a = 1) */
|
||||
|
||||
double tx = (node->r()->T() - 2 * node->T() + node->l()->T()) / pow(sys.step(), 2);
|
||||
double ty = (node->u()->T() - 2 * node->T() + node->d()->T()) / pow(sys.step(), 2);
|
||||
double t = delta * (tx + ty) + node->T();
|
||||
node->SetT(t);
|
||||
}
|
||||
}
|
||||
for (auto line : sys.Nodes()) {
|
||||
for (auto node : line)
|
||||
EmplicitOut << node->X() << ' ' << node->Y() << ' ' << node->T() << '\n';
|
||||
}
|
||||
EmplicitOut << "\n\n";
|
||||
}
|
||||
}
|
||||
|
||||
void Solver::SolveLine(System& sys, std::vector<Node*>& n) const {
|
||||
int size = n.size() - 2;
|
||||
double mu1 = n.front()->Dist(n[1]) / sys.step();
|
||||
double mu2 = n.back()->Dist(n[n.size() - 2]) / sys.step();
|
||||
/* Çàùèòà îò íóëÿ */
|
||||
if (mu2 == 0.)
|
||||
mu2 = .1;
|
||||
double val2 = -(2 * sys.a1()) / (pow(sys.step(), 2)) - 1 / delta;
|
||||
double val1 = sys.a1() / (pow(sys.step(), 2));
|
||||
std::vector<std::vector<double>> next(size);
|
||||
std::vector<double> right(size);
|
||||
for (int i = 0; i < next.size(); i++)
|
||||
next[i].resize(3, 0.0);
|
||||
next[0][0] = -(2 * sys.a1()) / (mu1 * pow(sys.step(), 2)) - 1 / delta;//val2;
|
||||
next[0][1] = (2 * sys.a1()) / ((mu1 + 1) * pow(sys.step(), 2));// val1;
|
||||
next.back()[1] = (2 * sys.a1()) / ((mu2 + 1) * pow(sys.step(), 2));// val1;
|
||||
next.back()[2] = -(2 * sys.a1()) / (mu2 * pow(sys.step(), 2)) - 1 / delta;//val2;
|
||||
for (int i = 1; i < size - 1; i++) {
|
||||
next[i][0] = val1;
|
||||
next[i][1] = val2;
|
||||
next[i][2] = val1;
|
||||
}
|
||||
|
||||
for (int i = 0; i < right.size(); i++)
|
||||
right[i] = -n[i + 1]->T() / delta;
|
||||
right.front() += -(2 * sys.a1() * n.front()->T()) / (mu1 * (mu1 + 1) * pow(sys.step(), 2));
|
||||
right.back() += -(2 * sys.a1() * n.back()->T()) / (mu2 * (mu2 + 1) * pow(sys.step(), 2));
|
||||
std::vector<double> tmps = ThomasMethod(next, right);
|
||||
for (int i = 0; i < tmps.size(); i++)
|
||||
n[i + 1]->SetT(tmps[i]);
|
||||
}
|
||||
|
||||
|
||||
std::vector<double> Solver::ThomasMethod(std::vector<std::vector<double>>& A, std::vector<double>& b) const {
|
||||
int row = b.size() - 1;
|
||||
|
||||
std::vector<double>alpha(row);
|
||||
std::vector<double>beta(row);
|
||||
|
||||
alpha[0] = -A[0][1] / A[0][0];
|
||||
beta[0] = b[0] / A[0][0];
|
||||
|
||||
for (int i = 1; i < row; i++) {
|
||||
double a = A[i][0];
|
||||
double b1 = A[i][1];
|
||||
double c = A[i][2];
|
||||
alpha[i] = -c / (a * alpha[i - 1] + b1);
|
||||
beta[i] = (b[i] - a * beta[i - 1]) / (a * alpha[i - 1] + b1);
|
||||
}
|
||||
|
||||
std::vector<double> result(b.size());
|
||||
|
||||
result.back() = (b.back() - A.back()[1] * beta.back()) / (A.back()[2] + A.back()[1] * alpha.back());
|
||||
for (int i = row - 1; i > -1; i--)
|
||||
result[i] = alpha[i] * result[i + 1] + beta[i];
|
||||
return result;
|
||||
}
|
||||
@@ -0,0 +1,30 @@
|
||||
#include "System.hpp"
|
||||
|
||||
void System::DefineBounds(int l, int t, int r, int b) {
|
||||
Node* cur = _mesh.LineX().front();
|
||||
while (cur) {
|
||||
cur->SetB(b);
|
||||
cur = cur->r();
|
||||
}
|
||||
cur = _mesh.LineX().back();
|
||||
while (cur) {
|
||||
cur->SetB(t);
|
||||
cur = cur->r();
|
||||
}
|
||||
cur = _mesh.LineY().front();
|
||||
while (cur) {
|
||||
cur->SetB(l);
|
||||
cur = cur->u();
|
||||
}
|
||||
cur = _mesh.LineY().back();
|
||||
while (cur->u()) {
|
||||
cur->SetB(r);
|
||||
cur = cur->u();
|
||||
}
|
||||
}
|
||||
|
||||
std::vector<std::vector<Node*>>& System::Nodes() { return _mesh.Nodes(); }
|
||||
std::vector<Node*>& System::LineX() { return _mesh.LineX(); }
|
||||
std::vector<Node*>& System::LineY() { return _mesh.LineY(); }
|
||||
|
||||
|
||||
@@ -0,0 +1,99 @@
|
||||
#include <iostream>
|
||||
#include <fstream>
|
||||
#include <Solver.hpp>
|
||||
|
||||
#define WIDTH 500.
|
||||
#define HEIGHT 400.
|
||||
|
||||
#define ARC_RADIUS 150.
|
||||
|
||||
//#define SQUARE_X 355.
|
||||
//#define SQUARE_Y 155.
|
||||
//#define SQUARE_SIDE 100.
|
||||
|
||||
#define HOLE_X 355.
|
||||
#define HOLE_Y 155.
|
||||
#define HOLE_RADIUS 50.
|
||||
|
||||
void visualize(std::ofstream& file, std::string filename, int time_end) {
|
||||
file << "set cbrange [" << 0 << ":" << 100 << "]" << std::endl;
|
||||
file << "set size ratio " << float(400) / 500 << "\nunset key\n" << "\nset palette defined (0 0 0 1, 0.25 0 1 1, 0.5 0 1 0, 0.75 1 1 0, 1 1 0 0)\n" << std::endl;
|
||||
file << "do for [i=0:" << time_end - 1 << "]{" << std::endl;
|
||||
file << "plot '" << filename << "' u 1:2:3 index i w points pt 5 palette" << std::endl;
|
||||
file << "pause " << 0.000000001 << "}" << std::endl;
|
||||
file << "pause mouse";
|
||||
}
|
||||
|
||||
int main()
|
||||
{
|
||||
int l = 3; //Bound conditions
|
||||
int t = 3;
|
||||
int r = 1;
|
||||
int b = 3;
|
||||
int r2 = 4;
|
||||
int s = 3;
|
||||
|
||||
double step = 10; // Mesh step
|
||||
double step2 = 5; // Mesh step
|
||||
|
||||
double time_step = 1;
|
||||
double time_end = 100;
|
||||
|
||||
double C = 50.; // Material props
|
||||
|
||||
std::map<std::string, double> plate{
|
||||
{"a", WIDTH / 2}, {"b", HEIGHT / 2}, {"h_x", 1 / WIDTH}, {"h_y", 1 / HEIGHT}
|
||||
};
|
||||
std::map<std::string, double> arc{
|
||||
{"a", WIDTH - ARC_RADIUS}, {"b", HEIGHT - ARC_RADIUS}, {"h_x", 1 / ARC_RADIUS}, {"h_y", 1 / ARC_RADIUS}
|
||||
};
|
||||
std::map<std::string, double> circle{
|
||||
{"a", HOLE_X}, {"b", HOLE_Y}, {"h_x", 1 / HOLE_RADIUS}, {"h_y", 1 / HOLE_RADIUS}
|
||||
};
|
||||
|
||||
Object obj;
|
||||
obj.Add_Form("Circle", circle, true, s);
|
||||
obj.Add_Form("Arc", arc, true, r2);
|
||||
obj.Add_Form("Rectangle", plate, false, 1);
|
||||
|
||||
System explicit10(obj, step, C);
|
||||
explicit10.DefineBounds(l, t, r, b);
|
||||
|
||||
System explicit5(obj, step2, C);
|
||||
explicit5.DefineBounds(l, t, r, b);
|
||||
|
||||
System implicit10(obj, step, C);
|
||||
implicit10.DefineBounds(l, t, r, b);
|
||||
|
||||
System implicit5(obj, step2, C);
|
||||
implicit5.DefineBounds(l, t, r, b);
|
||||
|
||||
|
||||
Solver slv10("explicit10.txt", "implicit10.txt", time_step);
|
||||
slv10.SolveExplicit(explicit10, time_end);
|
||||
slv10.SolveImplicit(implicit10, time_end);
|
||||
|
||||
Solver slv5("explicit5.txt", "implicit5.txt", time_step);
|
||||
slv5.SolveExplicit(explicit5, time_end);
|
||||
slv5.SolveImplicit(implicit5, time_end);
|
||||
std::ofstream script("es10.plt");
|
||||
visualize(script, "explicit10.txt", time_end);
|
||||
script.close();
|
||||
|
||||
script.open("is10.plt");
|
||||
visualize(script, "implicit10.txt", time_end);
|
||||
script.close();
|
||||
|
||||
script.open("es5.plt");
|
||||
visualize(script, "explicit5.txt", time_end);
|
||||
script.close();
|
||||
|
||||
script.open("is5.plt");
|
||||
visualize(script, "implicit5.txt", time_end);
|
||||
script.close();
|
||||
return 0;
|
||||
}
|
||||
|
||||
//std::map<std::string, double> square{
|
||||
// {"a", SQUARE_X}, {"b", SQUARE_Y}, {"h_x", 1 / SQUARE_SIDE}, {"h_y", 1 / SQUARE_SIDE}
|
||||
//};
|
||||
Reference in New Issue
Block a user