Monomial.cpp

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#include "MUQ/Approximation/Polynomials/Monomial.h"
 
using namespace muq::Approximation;
 
Monomial::Monomial() : IndexedScalarBasis() {}
 
Monomial::~Monomial() {}
 
double Monomial::DerivativeEvaluate(int const polyOrder, int const derivOrder, double const x) const {
 
    if((derivOrder > polyOrder) || (polyOrder==0))
        return 0.0;
 
    double c = 1.0;
    for(int k=polyOrder; k>polyOrder-derivOrder; --k)
        c *= k;
 
    return c*std::pow(x, polyOrder-derivOrder);
 
}
 
double Monomial::BasisEvaluate(int const order, double const x) const {
    return std::pow(x, order);
}
 
REGISTER_SCALARBASIS_FAMILY(Monomial)