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‎Fct.h

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#pragma once
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#include <memory>
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#include <functional>
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#include <math.h>
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namespace netn {
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template <typename T> class Model;
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struct Component;
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typedef std::function<double(double)> func_t;
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template <typename T>
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class Fct : public Model<T> {
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public:
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Fct(const Model<T> & var, const func_t & func, const func_t & deriv);
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Fct(const Fct & other);
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virtual ~Fct() = default;
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T eval() const override;
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T derivPart(const Component & component) const override;
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std::shared_ptr<Model<T>> toModel() const override;
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private:
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func_t _func;
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func_t _deriv;
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std::shared_ptr<Model<T>> _var;
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};
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template <typename T>
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Fct<T> sin(const Model<T> & model) {
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return Fct<T>(model,
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[](double x) {return std::sin(x); },
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[](double x) {return std::cos(x); });
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}
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template <typename T>
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Fct<T> cos(const Model<T> & model) {
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return Fct<T>(model,
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[](double x) {return std::cos(x); },
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[](double x) {return - std::sin(x); });
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}
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template <typename T>
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Fct<T> exp(const Model<T> & model) {
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return Fct<T>(model,
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[](double x) {return std::exp(x); },
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[](double x) {return std::exp(x); });
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}
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template <typename T>
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Fct<T> log(const Model<T> & model) {
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return Fct<T>(model,
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[](double x) {return std::log(x); },
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[](double x) {return 1 / x; });
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}
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template <typename T>
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Fct<T> pow(const Model<T> & model, double exp) {
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return Fct<T>(model,
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[exp](double x) {return std::pow(x, exp); },
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[exp](double x) {return exp * std::pow(x, exp - 1); });
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}
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template <typename T>
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Fct<T> sigmoid(const Model<T> & model) {
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return Fct<T>(model,
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[](double x) {return 1 / (1 + std::exp(-x)); },
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[](double x) {double ex = std::exp(x); return ex / ((1 + ex) * (1 + ex)); });
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}
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}
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#include "Fct.inl"

‎Fct.inl

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#include "armadillo/armadillo"
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#include "Model.h"
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#include "Var.h"
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namespace netn {
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template<typename T>
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inline Fct<T>::Fct(const Model<T> & var, const func_t & func, const func_t & deriv)
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: _var(var.toModel()), _func(func), _deriv(deriv) {}
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template<typename T>
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inline Fct<T>::Fct(const Fct & other)
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: _var(other._var), _func(other._func), _deriv(other._deriv) {}
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template<typename T>
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inline T Fct<T>::eval() const {
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return _func(_var->eval());
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}
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template<>
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inline arma::mat Fct<arma::mat>::eval() const {
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arma::mat result(_var->eval());
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result.for_each([&](arma::mat::elem_type & elem) {elem = _func(elem); });
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return result;
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}
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template<typename T>
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inline T Fct<T>::derivPart(const Component & component) const {
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return _var->derivPart(component) * _deriv(_var->eval());
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}
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template<>
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inline arma::mat Fct<arma::mat>::derivPart(const Component & component) const {
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arma::mat result(_var->eval());
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arma::mat deriv(_var->derivPart(component));
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for (int i = 0; i < result.size(); i++) {
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result.at(i) = deriv.at(i) * _deriv(result.at(i));
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}
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return result;
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}
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template<typename T>
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inline std::shared_ptr<Model<T>> Fct<T>::toModel() const {
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return std::make_shared<Fct<T>>(*this);
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}
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}

‎Maths.sln

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Microsoft Visual Studio Solution File, Format Version 12.00
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# Visual Studio 14
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VisualStudioVersion = 14.0.25420.1
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MinimumVisualStudioVersion = 10.0.40219.1
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Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Maths", "Maths.vcxproj", "{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}"
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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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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Debug|x64.ActiveCfg = Debug|x64
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Debug|x64.Build.0 = Debug|x64
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Debug|x86.ActiveCfg = Debug|Win32
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Debug|x86.Build.0 = Debug|Win32
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Release|x64.ActiveCfg = Release|x64
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Release|x64.Build.0 = Release|x64
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.Release|x86.ActiveCfg = Release|Win32
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{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}.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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EndGlobal

‎Maths.vcxproj

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<?xml version="1.0" encoding="utf-8"?>
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<Project DefaultTargets="Build" ToolsVersion="14.0" 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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<ProjectGuid>{03ED9FC5-E8FD-4A42-B348-7BCE53EE2F71}</ProjectGuid>
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<RootNamespace>Maths</RootNamespace>
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<WindowsTargetPlatformVersion>8.1</WindowsTargetPlatformVersion>
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</PropertyGroup>
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<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration">
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<ConfigurationType>Application</ConfigurationType>
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<UseDebugLibraries>true</UseDebugLibraries>
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<PlatformToolset>v140</PlatformToolset>
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<CharacterSet>MultiByte</CharacterSet>
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</PropertyGroup>
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration">
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<ConfigurationType>Application</ConfigurationType>
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<UseDebugLibraries>false</UseDebugLibraries>
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<PlatformToolset>v140</PlatformToolset>
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<WholeProgramOptimization>true</WholeProgramOptimization>
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<CharacterSet>MultiByte</CharacterSet>
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</PropertyGroup>
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="Configuration">
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<ConfigurationType>Application</ConfigurationType>
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<UseDebugLibraries>true</UseDebugLibraries>
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<PlatformToolset>v140</PlatformToolset>
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<CharacterSet>MultiByte</CharacterSet>
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</PropertyGroup>
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="Configuration">
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<ConfigurationType>Application</ConfigurationType>
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<UseDebugLibraries>false</UseDebugLibraries>
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<PlatformToolset>v140</PlatformToolset>
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<WholeProgramOptimization>true</WholeProgramOptimization>
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<CharacterSet>MultiByte</CharacterSet>
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</PropertyGroup>
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<Import Project="$(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)'=='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 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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</ImportGroup>
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<PropertyGroup Label="UserMacros" />
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<PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
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<IncludePath>$(VC_IncludePath);$(WindowsSDK_IncludePath);$(VC_SourcePath)/armadillo/</IncludePath>
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</PropertyGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<Optimization>Disabled</Optimization>
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<SDLCheck>true</SDLCheck>
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</ClCompile>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<Optimization>Disabled</Optimization>
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<SDLCheck>true</SDLCheck>
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</ClCompile>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<Optimization>MaxSpeed</Optimization>
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<FunctionLevelLinking>true</FunctionLevelLinking>
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<IntrinsicFunctions>true</IntrinsicFunctions>
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<SDLCheck>true</SDLCheck>
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</ClCompile>
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<Link>
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<EnableCOMDATFolding>true</EnableCOMDATFolding>
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<OptimizeReferences>true</OptimizeReferences>
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</Link>
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</ItemDefinitionGroup>
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<ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
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<ClCompile>
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<WarningLevel>Level3</WarningLevel>
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<Optimization>MaxSpeed</Optimization>
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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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</ClCompile>
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<Link>
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<EnableCOMDATFolding>true</EnableCOMDATFolding>
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<OptimizeReferences>true</OptimizeReferences>
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</Link>
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</ItemDefinitionGroup>
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<ItemGroup>
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<ClCompile Include="main.cpp" />
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</ItemGroup>
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<ItemGroup>
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<ClInclude Include="Fct.h" />
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<ClInclude Include="MatrixOps.h" />
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<ClInclude Include="Model.h" />
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<ClInclude Include="Ops.h" />
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<ClInclude Include="Type_Ops.h" />
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<ClInclude Include="Var.h" />
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</ItemGroup>
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<ItemGroup>
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<None Include="Fct.inl" />
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<None Include="MatrixOps.inl" />
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<None Include="Model.inl" />
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<None Include="Ops.inl" />
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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>

‎MatrixOps.h

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#pragma once
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#include <memory>
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#include "armadillo/armadillo"
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#include "Model.h"
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namespace netn {
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class MatSum : public Model<double> {
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public:
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MatSum(const MatSum & other);
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MatSum(const Model<arma::mat> & model);
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double eval() const override;
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double derivPart(const Component & component) const override;
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std::shared_ptr<Model<double>> toModel() const override;
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private:
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std::shared_ptr<Model<arma::mat>> _matrix;
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};
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MatSum sum(const Model<arma::mat> & model) {
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return MatSum(model);
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}
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}
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#include "MatrixOps.inl"

‎MatrixOps.inl

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#pragma once
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#include "MatrixOps.h"
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namespace netn {
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MatSum::MatSum(const MatSum & other)
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: _matrix(other._matrix) {}
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inline MatSum::MatSum(const Model<arma::mat> & model)
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: _matrix(model.toModel()) {}
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inline double netn::MatSum::eval() const {
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auto matrix = _matrix->eval();
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return arma::accu(matrix);
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}
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inline double netn::MatSum::derivPart(const Component & component) const {
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auto deriv = _matrix->derivPart(component);
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return arma::accu(deriv);
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}
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inline std::shared_ptr<Model<double>> MatSum::toModel() const {
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return std::make_shared<MatSum>(*this);
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}
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}

‎Model.h

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#pragma once
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#include <memory>
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#include <tuple>
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namespace netn {
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struct Component;
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class IModel {
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public:
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virtual ~IModel() = default;
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};
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template <typename T>
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class Model : public IModel {
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public:
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typedef T value_t;
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virtual ~Model() = default;
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virtual value_t eval() const = 0;
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virtual value_t derivPart(const Component & component) const = 0;
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virtual std::shared_ptr<Model<T>> toModel() const = 0;
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// Calcul de gradients
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template <typename Var_T>
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Var_T computeGradient(const Var<Var_T> & var);
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};
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template <typename T, typename... Vars>
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std::tuple<Vars...> computeGradients(const Model<T> & model, Vars... vars);
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}
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#include "Model.inl"

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