Refactor
This commit is contained in:
@ -16,7 +16,6 @@ namespace JRAMPERSAD
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{
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/**
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* \brief Structure for options to be used when running one of the two genetic algorithms in a Function object
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*
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*/
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struct GA_Options
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{
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@ -113,17 +112,17 @@ namespace JRAMPERSAD
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});
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}
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template <int lrgst_expo> // Genetic Algorithm helper struct
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// Genetic Algorithm helper struct
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struct GA_Solution
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{
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unsigned short lrgst_expo;
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double rank, x, y_val;
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bool ranked;
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GA_Solution() : rank(0), x(0), y_val(0), ranked(false) {}
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GA_Solution(double Rank, double x_val, double y = 0) : rank(Rank), x(x_val), y_val(y), ranked(false) {}
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GA_Solution() : lrgst_expo(0), rank(0), x(0), y_val(0) {}
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GA_Solution(unsigned short Lrgst_expo, double Rank, double x_val, double y = 0) : lrgst_expo(Lrgst_expo), rank(Rank), x(x_val), y_val(y) {}
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virtual ~GA_Solution() = default;
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void fitness(const std::vector<int>& constants)
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void fitness(const std::vector<int64_t>& constants)
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{
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double ans = 0;
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for (int i = lrgst_expo; i >= 0; i--)
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@ -137,153 +136,118 @@ namespace JRAMPERSAD
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using namespace detail;
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/**
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* \brief A class representing an Exponential Function (e.g 2x^2 + 4x - 1),
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* \tparam lrgst_expo The largest exponent in the function (e.g 2 means largest exponent is x^2)
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* \brief class representing an Exponential Function (e.g 2x^2 + 4x - 1)
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*/
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template <int lrgst_expo>
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class Function
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{
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private:
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std::vector<int> constants;
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const unsigned short lrgst_expo; /**< lrgst_expo The largest exponent in the function (e.g 2 means largest exponent is x^2) */
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std::vector<int64_t> constants;
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bool bInitialized;
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void CanPerform() const { if (!bInitialized) throw std::logic_error("Function object not initialized fully! Please call .SetConstants() to initialize"); }
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public:
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// Speicialty function to get the real roots of a Quadratic Function without relying on a Genetic Algorithm to approximate
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friend std::vector<double> QuadraticSolve(const Function<2>& f);
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friend std::vector<double> QuadraticSolve(const Function& f);
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public:
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/**
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* \brief Constructor for Function class
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* \param constnts An array with the constants for the function (e.g 2, 1, 3 = 2x^2 + 1x - 3) size of array MUST be lrgst_expo + 1
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* \param Lrgst_expo The largest exponent in the function (e.g 2 means largest exponent is x^2)
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*/
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Function(const std::vector<int>& constnts);
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/**
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* \brief Constructor for Function class
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* \param constnts An array with the constants for the function (e.g 2, 1, 3 = 2x^2 + 1x - 3) size of array MUST be lrgst_expo + 1
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*/
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Function(std::vector<int>&& constnts);
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Function(const Function& other) = default;
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Function(Function&& other) noexcept = default;
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Function(const unsigned short& Lrgst_expo) : lrgst_expo(Lrgst_expo), bInitialized(false)
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{
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if (lrgst_expo < 0)
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throw std::logic_error("Function template argument must not be less than 0");
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constants.reserve(Lrgst_expo);
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}
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/** \brief Destructor */
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virtual ~Function();
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/** \brief Copy Constructor */
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Function(const Function& other) = default;
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/** \brief Move Constructor */
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Function(Function&& other) noexcept = default;
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/** \brief Copy Assignment operator */
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Function& operator=(const Function& other) = default;
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/** \brief Move Assignment operator */
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Function& operator=(Function&& other) noexcept = default;
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// Operator function to display function object in a human readable format
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friend std::ostream& operator<<(std::ostream& os, const Function<lrgst_expo> func)
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{
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if (lrgst_expo == 0)
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{
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os << func.constants[0];
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return os;
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}
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/**
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* \brief Sets the constants of the function
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* \param constnts An array with the constants for the function (e.g 2, 1, 3 = 2x^2 + 1x - 3) size of array MUST be lrgst_expo + 1
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*/
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void SetConstants(const std::vector<int64_t>& constnts);
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/**
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* \brief Sets the constants of the function
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* \param constnts An array with the constants for the function (e.g 2, 1, 3 = 2x^2 + 1x - 3) size of array MUST be lrgst_expo + 1
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*/
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void SetConstants(std::vector<int64_t>&& constnts);
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if (func.constants[0] == 1)
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os << "x";
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else if (func.constants[0] == -1)
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os << "-x";
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else
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os << func.constants[0] << "x";
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friend std::ostream& operator<<(std::ostream& os, const Function func);
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if (lrgst_expo != 1)
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os << "^" << lrgst_expo;
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friend Function operator+(const Function& f1, const Function& f2);
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friend Function operator-(const Function& f1, const Function& f2);
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for (int i = lrgst_expo - 1; i > 0; i--)
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{
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int n = func.constants[lrgst_expo - i];
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if (n == 0) continue;
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auto s = n > 0 ? " + " : " - ";
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if (n != 1)
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os << s << ABS(n) << "x";
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else
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os << s << "x";
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if (i != 1)
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os << "^" << i;
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}
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int n = func.constants[lrgst_expo];
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if (n == 0) return os;
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auto s = n > 0 ? " + " : " - ";
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os << s;
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os << ABS(n);
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return os;
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}
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template<int e1, int e2, int r>
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friend Function<r> operator+(const Function<e1>& f1, const Function<e2>& f2); // Operator to add two functions
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template<int e1, int e2, int r>
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friend Function<r> operator-(const Function<e1>& f1, const Function<e2>& f2); // Operator to subtract two functions
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// Operators to multiply a function by a constant (Scaling it)
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friend Function<lrgst_expo> operator*(const Function<lrgst_expo>& f, const int& c)
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{
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if (c == 1) return f;
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if (c == 0) throw std::logic_error("Cannot multiply a function by 0");
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std::vector<int> res;
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for (auto& val : f.constants)
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res.push_back(c * val);
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return Function<lrgst_expo>(res);
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}
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Function<lrgst_expo>& operator*=(const int& c)
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{
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if (c == 1) return *this;
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if (c == 0) throw std::logic_error("Cannot multiply a function by 0");
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for (auto& val : this->constants)
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val *= c;
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return *this;
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}
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friend Function operator*(const Function& f, const int64_t& c);
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Function& operator*=(const int64_t& c);
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/**
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* \brief Calculates the differential (dy/dx) of the function
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* \returns a function representing the differential (dy/dx) of the calling function object
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* \brief Calculates the differential (dy/dx) of the Function
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* \returns a Function representing the differential (dy/dx) of the calling function object
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*/
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[[nodiscard("MATH::EXP::Function::differential() returns the differential, the calling object is not changed")]]
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Function<lrgst_expo - 1> differential() const;
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Function differential() const;
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/**
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* \brief Function that uses a genetic algorithm to find the approximate roots of the function
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* \brief Uses a genetic algorithm to find the approximate roots of the function
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* \param options GA_Options object specifying the options to run the algorithm
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* \returns A vector containing a n number of approximate root values (n = sample_size as defined in options)
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*/
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[[nodiscard]] std::vector<double> get_real_roots(const GA_Options& options = GA_Options()) const;
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/**
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* \brief Function that solves for y when x = user value
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* \brief Solves for y when x = user value
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* \param x_val the X Value you'd like the function to use
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* \returns the Y value the function returns based on the entered X value
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*/
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[[nodiscard]] double solve_y(const double& x_val) const noexcept;
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[[nodiscard]] double solve_y(const double& x_val) const;
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/**
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* \brief Function that uses a genetic algorithm to find the values of x where y = user value
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* \brief Uses a genetic algorithm to find the values of x where y = user value
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* \param y_val The return value that you would like to find the approximate x values needed to solve when entered into the function
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* \param options GA_Options object specifying the options to run the algorithm
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* \returns A vector containing a n number of x values that cause the function to approximately equal the y_val (n = sample_size as defined in options)
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*/
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[[nodiscard]] std::vector<double> solve_x(const double& y_val, const GA_Options& options = GA_Options()) const;
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/** \returns lrgst_expo */
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[[nodiscard]] auto GetWhatIsTheLargestExponent() const { return lrgst_expo; }
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};
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/**
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* \brief Uses the quadratic function to solve the roots of an entered quadratic equation
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* \param f Quadratic function you'd like to find the roots of (Quadratic Function object is a Function<2> object
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* \param f Quadratic function you'd like to find the roots of (Quadratic Function object is a Function object who's lrgst_expo value = 2
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* \returns a vector containing the roots
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*/
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std::vector<double> QuadraticSolve(const Function<2>& f)
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std::vector<double> QuadraticSolve(const Function& f)
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{
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try
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{
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if (f.lrgst_expo != 2) throw std::logic_error("Function f is not a quadratic function");
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f.CanPerform();
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}
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catch (const std::exception& e)
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{
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throw e;
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}
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std::vector<double> res;
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const int& a = f.constants[0];
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const int& b = f.constants[1];
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const int& c = f.constants[2];
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const auto& a = f.constants[0];
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const auto& b = f.constants[1];
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const auto& c = f.constants[2];
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const double sqr_val = static_cast<double>(POW(b, 2) - (4 * a * c));
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@ -297,16 +261,114 @@ namespace JRAMPERSAD
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return res;
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}
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template<int e1, int e2, int r = (e1 > e2 ? e1 : e2)>
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Function<r> operator+(const Function<e1>& f1, const Function<e2>& f2)
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Function::~Function()
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{
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std::vector<int> res;
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constants.clear();
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}
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void Function::SetConstants(const std::vector<int64_t>& constnts)
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{
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if (constnts.size() != lrgst_expo + 1)
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throw std::logic_error("Function<n> must be created with (n+1) integers in vector object");
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if (constnts[0] == 0)
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throw std::logic_error("First value should not be 0");
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constants = constnts;
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bInitialized = true;
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}
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void Function::SetConstants(std::vector<int64_t>&& constnts)
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{
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if (constnts.size() != lrgst_expo + 1)
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throw std::logic_error("Function<n> must be created with (n+1) integers in vector object");
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if (constnts[0] == 0)
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throw std::logic_error("First value should not be 0");
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constants = std::move(constnts);
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bInitialized = true;
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}
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/** Operator function to display function object in a human readable format */
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std::ostream& operator<<(std::ostream& os, const Function func)
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{
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try
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{
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func.CanPerform();
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}
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catch (const std::exception& e)
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{
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throw e;
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}
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if (func.lrgst_expo == 0)
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{
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os << func.constants[0];
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return os;
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}
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if (func.constants[0] == 1)
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os << "x";
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else if (func.constants[0] == -1)
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os << "-x";
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else
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os << func.constants[0] << "x";
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if (func.lrgst_expo != 1)
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os << "^" << func.lrgst_expo;
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for (auto i = func.lrgst_expo - 1; i > 0; i--)
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{
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auto n = func.constants[func.lrgst_expo - i];
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if (n == 0) continue;
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auto s = n > 0 ? " + " : " - ";
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if (n != 1)
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os << s << ABS(n) << "x";
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else
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os << s << "x";
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if (i != 1)
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os << "^" << i;
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}
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auto n = func.constants[func.lrgst_expo];
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if (n == 0) return os;
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auto s = n > 0 ? " + " : " - ";
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os << s;
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os << ABS(n);
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return os;
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}
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/** Operator to add two functions */
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Function operator+(const Function& f1, const Function& f2)
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{
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try
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{
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f1.CanPerform();
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f2.CanPerform();
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}
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catch (const std::exception& e)
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{
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throw e;
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}
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auto e1 = f1.lrgst_expo;
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auto e2 = f2.lrgst_expo;
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auto r = e1 > e2 ? e1 : e2;
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std::vector<int64_t> res;
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if (e1 > e2)
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{
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for (auto& val : f1.constants)
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res.push_back(val);
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int i = e1 - e2;
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auto i = e1 - e2;
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for (auto& val : f2.constants)
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{
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res[i] += val;
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@ -326,19 +388,35 @@ namespace JRAMPERSAD
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}
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}
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return Function<r>{res};
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Function f(r);
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f.SetConstants(res);
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return f;
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}
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template<int e1, int e2, int r = (e1 > e2 ? e1 : e2)>
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Function<r> operator-(const Function<e1>& f1, const Function<e2>& f2)
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/** Operator to subtract two functions */
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Function operator-(const Function& f1, const Function& f2)
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{
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std::vector<int> res;
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try
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{
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f1.CanPerform();
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f2.CanPerform();
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}
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catch (const std::exception& e)
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{
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throw e;
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}
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auto e1 = f1.lrgst_expo;
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auto e2 = f2.lrgst_expo;
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auto r = e1 > e2 ? e1 : e2;
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std::vector<int64_t> res;
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if (e1 > e2)
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{
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for (auto& val : f1.constants)
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res.push_back(val);
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int i = e1 - e2;
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auto i = e1 - e2;
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for (auto& val : f2.constants)
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{
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res[i] -= val;
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@ -362,78 +440,109 @@ namespace JRAMPERSAD
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}
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}
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return Function<r>{res};
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Function f(r);
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f.SetConstants(res);
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return f;
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}
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template <int lrgst_expo>
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Function<lrgst_expo>::Function(const std::vector<int>& constnts)
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/** Operator to multiply a function by a constant (Scaling it) */
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Function operator*(const Function& f, const int64_t& c)
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{
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if (lrgst_expo < 0)
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throw std::logic_error("Function template argument must not be less than 0");
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try
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{
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f.CanPerform();
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}
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catch (const std::exception& e)
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{
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throw e;
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}
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if (constnts.size() != lrgst_expo + 1)
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throw std::logic_error("Function<n> must be created with (n+1) integers in vector object");
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if (c == 1) return f;
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if (c == 0) throw std::logic_error("Cannot multiply a function by 0");
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if (constnts[0] == 0)
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throw std::logic_error("First value should not be 0");
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std::vector<int64_t> res;
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for (auto& val : f.constants)
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res.push_back(c * val);
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constants = constnts;
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Function f_res(f.lrgst_expo);
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f_res.SetConstants(res);
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return f_res;
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}
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template<int lrgst_expo>
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Function<lrgst_expo>::Function(std::vector<int>&& constnts)
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/** Operator to multiply a function by a constant (Scaling it) */
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Function& Function::operator*=(const int64_t& c)
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{
|
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if (lrgst_expo < 0)
|
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throw std::logic_error("Function template argument must not be less than 0");
|
||||
try
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||||
{
|
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this->CanPerform();
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}
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catch (const std::exception& e)
|
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{
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throw e;
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}
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if (constnts.size() != lrgst_expo + 1)
|
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throw std::logic_error("Function<n> must be created with (n+1) integers in vector object");
|
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if (c == 1) return *this;
|
||||
if (c == 0) throw std::logic_error("Cannot multiply a function by 0");
|
||||
|
||||
if (constnts[0] == 0)
|
||||
throw std::logic_error("First value should not be 0");
|
||||
for (auto& val : this->constants)
|
||||
val *= c;
|
||||
|
||||
constants = std::move(constnts);
|
||||
return *this;
|
||||
}
|
||||
|
||||
template <int lrgst_expo>
|
||||
Function<lrgst_expo>::~Function()
|
||||
Function Function::differential() const
|
||||
{
|
||||
constants.clear();
|
||||
}
|
||||
try
|
||||
{
|
||||
this->CanPerform();
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
throw e;
|
||||
}
|
||||
|
||||
template <int lrgst_expo>
|
||||
Function<lrgst_expo - 1> Function<lrgst_expo>::differential() const
|
||||
{
|
||||
if (lrgst_expo == 0)
|
||||
throw std::logic_error("Cannot differentiate a number (Function<0>)");
|
||||
|
||||
std::vector<int> result;
|
||||
std::vector<int64_t> result;
|
||||
for (int i = 0; i < lrgst_expo; i++)
|
||||
{
|
||||
result.push_back(constants[i] * (lrgst_expo - i));
|
||||
}
|
||||
|
||||
return Function<lrgst_expo - 1>{result};
|
||||
Function f{ (unsigned short)(lrgst_expo - 1) };
|
||||
f.SetConstants(result);
|
||||
|
||||
return f;
|
||||
}
|
||||
|
||||
template<int lrgst_expo>
|
||||
std::vector<double> Function<lrgst_expo>::get_real_roots(const GA_Options& options) const
|
||||
std::vector<double> Function::get_real_roots(const GA_Options& options) const
|
||||
{
|
||||
try
|
||||
{
|
||||
this->CanPerform();
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
throw e;
|
||||
}
|
||||
|
||||
// Create initial random solutions
|
||||
std::random_device device;
|
||||
std::uniform_real_distribution<double> unif(options.min_range, options.max_range);
|
||||
std::vector<GA_Solution<lrgst_expo>> solutions;
|
||||
std::vector<GA_Solution> solutions;
|
||||
|
||||
solutions.resize(options.data_size);
|
||||
for (unsigned int i = 0; i < options.sample_size; i++)
|
||||
solutions[i] = (GA_Solution<lrgst_expo>{0, unif(device)});
|
||||
solutions[i] = (GA_Solution{lrgst_expo, 0, unif(device)});
|
||||
|
||||
float timer{ 0 };
|
||||
|
||||
for (unsigned int count = 0; count < options.num_of_generations; count++)
|
||||
{
|
||||
std::generate(std::execution::par, solutions.begin() + options.sample_size, solutions.end(), [&unif, &device]() {
|
||||
return GA_Solution<lrgst_expo>{0, unif(device)};
|
||||
std::generate(std::execution::par, solutions.begin() + options.sample_size, solutions.end(), [this, &unif, &device]() {
|
||||
return GA_Solution{lrgst_expo, 0, unif(device)};
|
||||
});
|
||||
|
||||
// Run our fitness function
|
||||
@ -446,7 +555,7 @@ namespace JRAMPERSAD
|
||||
});
|
||||
|
||||
// Take top solutions
|
||||
std::vector<GA_Solution<lrgst_expo>> sample;
|
||||
std::vector<GA_Solution> sample;
|
||||
std::copy(
|
||||
solutions.begin(),
|
||||
solutions.begin() + options.sample_size,
|
||||
@ -495,40 +604,49 @@ namespace JRAMPERSAD
|
||||
return ans;
|
||||
}
|
||||
|
||||
template<int lrgst_expo>
|
||||
double Function<lrgst_expo>::solve_y(const double& x_val) const noexcept
|
||||
double Function::solve_y(const double& x_val) const
|
||||
{
|
||||
std::vector<bool> exceptions;
|
||||
|
||||
for (int i : constants)
|
||||
exceptions.push_back(i != 0);
|
||||
try
|
||||
{
|
||||
this->CanPerform();
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
throw e;
|
||||
}
|
||||
|
||||
double ans{ 0 };
|
||||
for (int i = lrgst_expo; i >= 0; i--)
|
||||
{
|
||||
if (exceptions[i])
|
||||
ans += constants[i] * POW(x_val, (lrgst_expo - i));
|
||||
ans += constants[i] * POW(x_val, (lrgst_expo - i));
|
||||
}
|
||||
|
||||
return ans;
|
||||
}
|
||||
|
||||
template<int lrgst_expo>
|
||||
inline std::vector<double> Function<lrgst_expo>::solve_x(const double& y_val, const GA_Options& options) const
|
||||
inline std::vector<double> Function::solve_x(const double& y_val, const GA_Options& options) const
|
||||
{
|
||||
try
|
||||
{
|
||||
this->CanPerform();
|
||||
}
|
||||
catch (const std::exception& e)
|
||||
{
|
||||
throw e;
|
||||
}
|
||||
|
||||
// Create initial random solutions
|
||||
std::random_device device;
|
||||
std::uniform_real_distribution<double> unif(options.min_range, options.max_range);
|
||||
std::vector<GA_Solution<lrgst_expo>> solutions;
|
||||
std::vector<GA_Solution> solutions;
|
||||
|
||||
solutions.resize(options.data_size);
|
||||
for (unsigned int i = 0; i < options.sample_size; i++)
|
||||
solutions[i] = (GA_Solution<lrgst_expo>{0, unif(device), y_val});
|
||||
solutions[i] = (GA_Solution{lrgst_expo, 0, unif(device), y_val});
|
||||
|
||||
for (unsigned int count = 0; count < options.num_of_generations; count++)
|
||||
{
|
||||
std::generate(std::execution::par, solutions.begin() + options.sample_size, solutions.end(), [&unif, &device, &y_val]() {
|
||||
return GA_Solution<lrgst_expo>{0, unif(device), y_val};
|
||||
std::generate(std::execution::par, solutions.begin() + options.sample_size, solutions.end(), [this, &unif, &device, &y_val]() {
|
||||
return GA_Solution{lrgst_expo, 0, unif(device), y_val};
|
||||
});
|
||||
|
||||
|
||||
@ -542,7 +660,7 @@ namespace JRAMPERSAD
|
||||
});
|
||||
|
||||
// Take top solutions
|
||||
std::vector<GA_Solution<lrgst_expo>> sample;
|
||||
std::vector<GA_Solution> sample;
|
||||
std::copy(
|
||||
solutions.begin(),
|
||||
solutions.begin() + options.sample_size,
|
||||
@ -593,4 +711,7 @@ namespace JRAMPERSAD
|
||||
}
|
||||
}
|
||||
|
||||
#define INITIALIZE_EXPO_FUNCTION(func, ...) \
|
||||
func.SetConstants(__VA_ARGS__)
|
||||
|
||||
#endif // !JONATHAN_RAMPERSAD_EXPONENTIAL_H_
|
@ -7,13 +7,11 @@
|
||||
|
||||
using namespace JRAMPERSAD;
|
||||
|
||||
template <int n>
|
||||
using Function = EXPONENTIAL::Function<n>;
|
||||
using EXPONENTIAL::Function;
|
||||
|
||||
typedef TIMER::Timer timer;
|
||||
|
||||
template<int exp>
|
||||
void CalcRoots(std::mutex& m, const Function<exp>& func, EXPONENTIAL::GA_Options options)
|
||||
void CalcRoots(std::mutex& m, const Function& func, EXPONENTIAL::GA_Options options)
|
||||
{
|
||||
m.lock();
|
||||
std::cout << "Starting calculation...\n";
|
||||
@ -33,8 +31,7 @@ void CalcRoots(std::mutex& m, const Function<exp>& func, EXPONENTIAL::GA_Options
|
||||
m.unlock();
|
||||
}
|
||||
|
||||
template<int exp>
|
||||
void SolveX(std::mutex& m, const Function<exp>& func, EXPONENTIAL::GA_Options options, const double& y)
|
||||
void SolveX(std::mutex& m, const Function& func, EXPONENTIAL::GA_Options options, const double& y)
|
||||
{
|
||||
timer t;
|
||||
auto res = func.solve_x(y, options);
|
||||
@ -52,27 +49,37 @@ void SolveX(std::mutex& m, const Function<exp>& func, EXPONENTIAL::GA_Options op
|
||||
|
||||
int main()
|
||||
{
|
||||
std::vector<int> vec{ 1, 5, 4 };
|
||||
Function<2> f{ vec };
|
||||
Function<3> g{ { 1, -6, 11, -6 } };
|
||||
std::vector<int64_t> vec{ 1, 5, 4 };
|
||||
Function f{2};
|
||||
INITIALIZE_EXPO_FUNCTION(f, vec);
|
||||
Function g{3};
|
||||
INITIALIZE_EXPO_FUNCTION(g, { 1, -6, 11, -6 });
|
||||
|
||||
EXPONENTIAL::GA_Options options;
|
||||
options.mutation_percentage = 0.005;
|
||||
options.num_of_generations = 10;
|
||||
options.sample_size = 1000;
|
||||
options.data_size = 100000;
|
||||
options.min_range = 4.9;
|
||||
options.max_range = 5;
|
||||
options.num_of_generations = 1;
|
||||
options.sample_size = 1;
|
||||
options.data_size = 2;
|
||||
options.min_range = 0.13;
|
||||
options.max_range = 0.14;
|
||||
|
||||
auto res = (f + g).get_real_roots(options);
|
||||
std::for_each(res.begin(), res.end(),
|
||||
[](const auto& val) {
|
||||
std::cout << "x:" << val << '\n';
|
||||
});
|
||||
|
||||
std::cout << (f + g) << " when x = 0.13056\n" << (f + g).solve_y(0.13056);
|
||||
|
||||
std::mutex m;
|
||||
std::thread th(CalcRoots<3>, std::ref(m), std::cref(g), options);
|
||||
//std::thread th1(SolveX<3>, std::ref(m), std::cref(g), options, 5);
|
||||
//std::thread th2(SolveX<3>, std::ref(m), std::cref(g), options, 23);
|
||||
//std::thread th(CalcRoots, std::ref(m), std::cref(g), options);
|
||||
//std::thread th1(SolveX, std::ref(m), std::cref(g), options, 5);
|
||||
//std::thread th2(SolveX, std::ref(m), std::cref(g), options, 23);
|
||||
|
||||
//CalcRoots<3>(m, g);
|
||||
//CalcRoots(m, g);
|
||||
|
||||
m.lock();
|
||||
std::cout << g << " when x = 4.961015\n" << "y = " << g.solve_y(4.961015) << "\n\n";
|
||||
//std::cout << g << " when x = 4.961015\n" << "y = " << g.solve_y(4.961015) << "\n\n";
|
||||
//std::cout << g << " when x = 4.30891\n" << "y = " << g.solve_y(4.30891) << "\n\n";
|
||||
//std::cout << g << " when x = 2\n" << "y = " << g.solve_y(2) << "\n\n";
|
||||
//std::cout << g << " when x = 3\n" << "y = " << g.solve_y(3) << "\n\n";
|
||||
@ -82,10 +89,13 @@ int main()
|
||||
|
||||
//std::cout << "Calculating Roots for function f(x) = " << g << '\n';
|
||||
//std::cout << "The y-intercept of the function f(x) is " << g.solve_y(0) << '\n';
|
||||
std::cout << "dy/dx of f(x) is " << g.differential() << '\n';
|
||||
//std::cout << "dy/dx of f(x) is " << g.differential() << '\n';
|
||||
//std::cout << "f(x) = " << f << std::endl;
|
||||
//std::cout << "g(x) = " << g << std::endl;
|
||||
//std::cout << "f(x) + g(x) = " << f + g << std::endl;
|
||||
m.unlock();
|
||||
|
||||
th.join();
|
||||
//th.join();
|
||||
//th1.join();
|
||||
//th2.join();
|
||||
return 0;
|
||||
|
Reference in New Issue
Block a user