#pragma once
#include <vector>
using namespace std;

/**     (A) Inner product of two vectors (from skalar_stl)
	@param[in] x	vector
	@param[in] y	vector
	@return 	    resulting Euclidian inner product <x,y>
*/
double scalar_parallel(vector<double> const &x, vector<double> const &y);


/**     (A) Sum entries of vector
	@param[in] x	vector
	@return 	    sum
*/
double sum(vector<double> const &x);


/** 	(B) Matrix-vector product (from intro_vector_densematrix)
 * 	@param[in] A	dense matrix (1D access)
 *  @param[in] u	vector
 *
 *	@return    resulting vector
*/
vector<double> MatVec_parallel(vector<double> const &A, vector<double> const &x);


/** 	(C) Matrix-matrix product
 * 	@param[in] A			MxL dense matrix (1D access)
 *  @param[in] B			LxN dense matrix (1D access)
 *  @param[in] shared_dim 	shared dimension L
 *
 *	@return    resulting MxN matrix
*/
vector<double> MatMat_parallel(vector<double> const &A, vector<double> const &B, size_t const &shared_dim);


/** 	(D) Evaluation of a polynomial function using Horner's scheme
 * 	@param[in] a	coefficient vector
 *  @param[in] x	vector with input values
 *
 *	@return    vector with output values
*/
vector<double> poly_parallel(vector<double> const &a, vector<double> const &x);