DifferentialOperatorTwo.cpp

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/*
 *  Copyright (c) 2018, Martin Duy Tat
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#include <iostream>
#include <vector>
#include "DifferentialOperatorTwo.h"
#include "PolynomialSum.h"
#include "TwoPolynomial.h"
 
namespace polynomial {
 
DifferentialOperatorTwo::DifferentialOperatorTwo():
    xDerivatives_m(0), sDerivatives_m(0){
    std::vector<int> dummy1;
    dummy1.push_back(1);
    std::vector<std::vector<int>> dummy2;
    dummy2.push_back(dummy1);
    polynomials_m.resize(1);
    polynomials_m[0].push_back(PolynomialSum(TwoPolynomial(dummy2)));
}
 
DifferentialOperatorTwo::DifferentialOperatorTwo(
                         const std::size_t &xDerivatives,
                         const std::size_t &sDerivatives):
    xDerivatives_m(xDerivatives), sDerivatives_m(sDerivatives) {
    polynomials_m.resize(xDerivatives_m + 1);
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        polynomials_m[i].resize(sDerivatives_m + 1);
    }
}
 
DifferentialOperatorTwo::DifferentialOperatorTwo(
                         const DifferentialOperatorTwo &doperator):
    polynomials_m(doperator.polynomials_m),
    xDerivatives_m(doperator.xDerivatives_m),
    sDerivatives_m(doperator.sDerivatives_m) {
}
 
DifferentialOperatorTwo::~DifferentialOperatorTwo() {
}
 
DifferentialOperatorTwo& DifferentialOperatorTwo::operator= (
                         const DifferentialOperatorTwo &doperator) {
    polynomials_m = doperator.polynomials_m;
    xDerivatives_m = doperator.xDerivatives_m;
    sDerivatives_m = doperator.sDerivatives_m;
    return *this;
}
 
void DifferentialOperatorTwo::resizeX(const std::size_t &xDerivatives) {
    std::size_t oldxDerivatives = xDerivatives_m;
    xDerivatives_m = xDerivatives;
    polynomials_m.resize(xDerivatives_m + 1);
    if (xDerivatives_m > oldxDerivatives) {
        for (std::size_t i = oldxDerivatives + 1; i <= xDerivatives_m; i++) {
            polynomials_m[i].resize(sDerivatives_m + 1);
        }
    }
}
 
void DifferentialOperatorTwo::resizeS(const std::size_t &sDerivatives) {
    sDerivatives_m = sDerivatives;
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        polynomials_m[i].resize(sDerivatives_m + 1);
    }
}
 
void DifferentialOperatorTwo::differentiateX() {
    resizeX(xDerivatives_m + 1);
    for (std::size_t j = 0; j <= sDerivatives_m; j++) {
        std::size_t i = xDerivatives_m;
        while (i != 0) {
            i--;
            polynomials_m[i + 1][j].addPolynomial(polynomials_m[i][j]);
            polynomials_m[i][j].differentiateX();
        }
    }
}
 
void DifferentialOperatorTwo::differentiateS() {
    resizeS(sDerivatives_m + 1);
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        std::size_t j = sDerivatives_m;
        while (j != 0) {
            j--;
            polynomials_m[i][j + 1].addPolynomial(polynomials_m[i][j]);
            polynomials_m[i][j].differentiateS();
        }
    }
}
 
void DifferentialOperatorTwo::multiplyPolynomial(const TwoPolynomial &poly) {
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        for (std::size_t j = 0; j <= sDerivatives_m; j++) {
            polynomials_m[i][j].multiplyPolynomial(poly);
        }
    }
}
 
void DifferentialOperatorTwo::setPolynomial(const TwoPolynomial &poly,
                                            const std::size_t &x,
                                            const std::size_t &s) {
    if (x > xDerivatives_m) {
        resizeX(x);
    }
    if (s > sDerivatives_m) {
        resizeS(s);
    }
    polynomials_m[x][s] = PolynomialSum(poly);
}
 
void DifferentialOperatorTwo::printOperator() const {
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        for (std::size_t j = 0; j <= sDerivatives_m; j++) {
            std::size_t zeros = 0;
            std::cout << "(";
            for (std::size_t k = 0;
                 k < polynomials_m[i][j].numberOfTerms(); k++) {
                if (polynomials_m[i][j].isPolynomialZero(k)) zeros++;
            }
            if (zeros != polynomials_m[i][j].numberOfTerms()) {
                polynomials_m[i][j].printPolynomial();
                std::cout << "(d/dx)^" << i << "(d/ds)^" << j << ")";
            }
        }
    }
    std::cout << std::endl;
}
 
void DifferentialOperatorTwo::addOperator(
                              const DifferentialOperatorTwo &doperator) {
    if (xDerivatives_m < doperator.xDerivatives_m) {
        resizeX(doperator.xDerivatives_m);
    }
    if (sDerivatives_m < doperator.sDerivatives_m) {
        resizeS(doperator.sDerivatives_m);
    }
    for (std::size_t i = 0; i <= doperator.xDerivatives_m; i++) {
        for (std::size_t j = 0; j <= doperator.sDerivatives_m; j++) {
            polynomials_m[i][j].addPolynomial(doperator.polynomials_m[i][j]);
        }
    }
}
 
bool DifferentialOperatorTwo::isPolynomialZero(const std::size_t &x,
                                               const std::size_t &s,
                                               const std::size_t &term) const {
    if (x > xDerivatives_m || s > sDerivatives_m) {
        return true;
    }
    return polynomials_m[x][s].isPolynomialZero(term);
}
 
void DifferentialOperatorTwo::truncate(
                              const std::size_t &truncateOrder) {
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        for (std::size_t j = 0; j <= sDerivatives_m; j++) {
            polynomials_m[i][j].truncate(truncateOrder);
        }
    }
}
 
double DifferentialOperatorTwo::evaluatePolynomial(
                                const double &x,
                                const double &s,
                                const std::size_t &xDerivative,
                                const std::size_t &sDerivative,
                                const std::vector<double> &dSvalues) const {
    if (xDerivative > xDerivatives_m || sDerivative > sDerivatives_m) {
        return 0.0;
    }
    return polynomials_m[xDerivative][sDerivative]
           .evaluatePolynomial2(x, s, dSvalues);
}
 
std::size_t DifferentialOperatorTwo::numberOfTerms(
                                     const std::size_t &xDerivatives,
                                     const std::size_t &sDerivatives) const {
    if (xDerivatives > xDerivatives_m || sDerivatives > sDerivatives_m) {
        return 0;
    }
    return polynomials_m[xDerivatives][sDerivatives].numberOfTerms();
}
 
std::vector<std::size_t> DifferentialOperatorTwo::getdSFactors(
                         const std::size_t &xDerivatives,
                         const std::size_t &sDerivatives,
                         const std::size_t &p) const{
    if (xDerivatives > xDerivatives_m || sDerivatives > sDerivatives_m) {
        std::vector<std::size_t> dummy;
        return dummy;
    }
    return polynomials_m[xDerivatives][sDerivatives].getdSfactors(p);
}
 
void DifferentialOperatorTwo::sortTerms() {
    for (std::size_t i = 0; i <= xDerivatives_m; i++) {
        for (std::size_t j = 0; j <= sDerivatives_m; j++) {
            polynomials_m[i][j].sortTerms();
        }
    }
}
 
}