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236 lines
9.6 KiB
C++
236 lines
9.6 KiB
C++
//
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// LinAlg.hpp
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//
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// Created by Marc Melikyan on 1/8/21.
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//
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#ifndef LinAlg_hpp
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#define LinAlg_hpp
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#include <vector>
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#include <tuple>
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namespace MLPP{
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class LinAlg{
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public:
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// MATRIX FUNCTIONS
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std::vector<std::vector<double>> gramMatrix(std::vector<std::vector<double>> A);
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bool linearIndependenceChecker(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> gaussianNoise(int n, int m);
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std::vector<std::vector<double>> addition(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> subtraction(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> matmult(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> hadamard_product(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> kronecker_product(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> elementWiseDivision(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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std::vector<std::vector<double>> transpose(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> scalarMultiply(double scalar, std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> scalarAdd(double scalar, std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> log(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> log10(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> exp(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> erf(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> exponentiate(std::vector<std::vector<double>> A, double p);
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std::vector<std::vector<double>> sqrt(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> cbrt(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> matrixPower(std::vector<std::vector<double>> A, int n);
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std::vector<std::vector<double>> abs(std::vector<std::vector<double>> A);
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double det(std::vector<std::vector<double>> A, int d);
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double trace(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> cofactor(std::vector<std::vector<double>> A, int n, int i, int j);
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std::vector<std::vector<double>> adjoint(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> inverse(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> pinverse(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> zeromat(int n, int m);
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std::vector<std::vector<double>> onemat(int n, int m);
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std::vector<std::vector<double>> full(int n, int m, int k);
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std::vector<std::vector<double>> sin(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> cos(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> rotate(std::vector<std::vector<double>> A, double theta, int axis = -1);
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std::vector<std::vector<double>> max(std::vector<std::vector<double>> A, std::vector<std::vector<double>> B);
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double max(std::vector<std::vector<double>> A);
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double min(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> round(std::vector<std::vector<double>> A);
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double norm_2(std::vector<std::vector<double>> A);
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std::vector<std::vector<double>> identity(double d);
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std::vector<std::vector<double>> cov(std::vector<std::vector<double>> A);
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std::tuple<std::vector<std::vector<double>>, std::vector<std::vector<double>>> eig(std::vector<std::vector<double>> A);
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std::tuple<std::vector<std::vector<double>>, std::vector<std::vector<double>>, std::vector<std::vector<double>>> SVD(std::vector<std::vector<double>> A);
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std::vector<double> vectorProjection(std::vector<double> a, std::vector<double> b);
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std::vector<std::vector<double>> gramSchmidtProcess(std::vector<std::vector<double>> A);
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std::tuple<std::vector<std::vector<double>>, std::vector<std::vector<double>>> QRD(std::vector<std::vector<double>> A);
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std::tuple<std::vector<std::vector<double>>, std::vector<std::vector<double>>> chol(std::vector<std::vector<double>> A);
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double sum_elements(std::vector<std::vector<double>> A);
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std::vector<double> flatten(std::vector<std::vector<double>> A);
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std::vector<double> solve(std::vector<std::vector<double>> A, std::vector<double> b);
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bool positiveDefiniteChecker(std::vector<std::vector<double>> A);
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bool negativeDefiniteChecker(std::vector<std::vector<double>> A);
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bool zeroEigenvalue(std::vector<std::vector<double>> A);
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void printMatrix(std::vector<std::vector<double>> A);
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// VECTOR FUNCTIONS
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std::vector<std::vector<double>> outerProduct(std::vector<double> a, std::vector<double> b); // This multiplies a, bT
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std::vector<double> hadamard_product(std::vector<double> a, std::vector<double> b);
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std::vector<double> elementWiseDivision(std::vector<double> a, std::vector<double> b);
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std::vector<double> scalarMultiply(double scalar, std::vector<double> a);
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std::vector<double> scalarAdd(double scalar, std::vector<double> a);
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std::vector<double> addition(std::vector<double> a, std::vector<double> b);
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std::vector<double> subtraction(std::vector<double> a, std::vector<double> b);
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std::vector<double> subtractMatrixRows(std::vector<double> a, std::vector<std::vector<double>> B);
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std::vector<double> log(std::vector<double> a);
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std::vector<double> log10(std::vector<double> a);
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std::vector<double> exp(std::vector<double> a);
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std::vector<double> erf(std::vector<double> a);
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std::vector<double> exponentiate(std::vector<double> a, double p);
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std::vector<double> sqrt(std::vector<double> a);
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std::vector<double> cbrt(std::vector<double> a);
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double dot(std::vector<double> a, std::vector<double> b);
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std::vector<double> cross(std::vector<double> a, std::vector<double> b);
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std::vector<double> abs(std::vector<double> a);
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std::vector<double> zerovec(int n);
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std::vector<double> onevec(int n);
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std::vector<std::vector<double>> diag(std::vector<double> a);
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std::vector<double> full(int n, int k);
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std::vector<double> sin(std::vector<double> a);
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std::vector<double> cos(std::vector<double> a);
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std::vector<double> max(std::vector<double> a, std::vector<double> b);
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double max(std::vector<double> a);
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double min(std::vector<double> a);
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std::vector<double> round(std::vector<double> a);
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double euclideanDistance(std::vector<double> a, std::vector<double> b);
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double norm_2(std::vector<double> a);
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double norm_sq(std::vector<double> a);
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double sum_elements(std::vector<double> a);
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double cosineSimilarity(std::vector<double> a, std::vector<double> b);
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void printVector(std::vector<double> a);
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// MATRIX-VECTOR FUNCTIONS
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std::vector<std::vector<double>> mat_vec_add(std::vector<std::vector<double>> A, std::vector<double> b);
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std::vector<double> mat_vec_mult(std::vector<std::vector<double>> A, std::vector<double> b);
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// TENSOR FUNCTIONS
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std::vector<std::vector<std::vector<double>>> addition(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<std::vector<double>>> B);
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std::vector<std::vector<std::vector<double>>> elementWiseDivision(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<std::vector<double>>> B);
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std::vector<std::vector<std::vector<double>>> sqrt(std::vector<std::vector<std::vector<double>>> A);
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std::vector<std::vector<std::vector<double>>> exponentiate(std::vector<std::vector<std::vector<double>>> A, double p);
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std::vector<std::vector<double>> tensor_vec_mult(std::vector<std::vector<std::vector<double>>> A, std::vector<double> b);
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std::vector<double> flatten(std::vector<std::vector<std::vector<double>>> A);
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void printTensor(std::vector<std::vector<std::vector<double>>> A);
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std::vector<std::vector<std::vector<double>>> scalarMultiply(double scalar, std::vector<std::vector<std::vector<double>>> A);
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std::vector<std::vector<std::vector<double>>> scalarAdd(double scalar, std::vector<std::vector<std::vector<double>>> A);
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std::vector<std::vector<std::vector<double>>> resize(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<std::vector<double>>> B);
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std::vector<std::vector<std::vector<double>>> hadamard_product(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<std::vector<double>>> B);
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std::vector<std::vector<std::vector<double>>> max(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<std::vector<double>>> B);
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std::vector<std::vector<std::vector<double>>> abs(std::vector<std::vector<std::vector<double>>> A);
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double norm_2(std::vector<std::vector<std::vector<double>>> A);
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std::vector<std::vector<std::vector<double>>> vector_wise_tensor_product(std::vector<std::vector<std::vector<double>>> A, std::vector<std::vector<double>> B);
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private:
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};
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}
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#endif /* LinAlg_hpp */ |