GaussLegendreTri.h

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// SPDX-FileCopyrightText: Copyright (c) OpenGeoSys Community (opengeosys.org)
// SPDX-License-Identifier: BSD-3-Clause
 
#pragma once
 
#include <array>
 
#include "mathlib_export.h"
 
namespace MathLib
{

template <unsigned ORDER>
struct GaussLegendreTri {
    static MATHLIB_EXPORT const unsigned Order = ORDER;
    static MATHLIB_EXPORT const unsigned NPoints = ORDER;
    static MATHLIB_EXPORT const std::array<std::array<double, 2>, NPoints> X;
    static MATHLIB_EXPORT const double W[NPoints];
};
 
template <>
struct GaussLegendreTri<2> {
    static MATHLIB_EXPORT const unsigned Order = 2;
    static MATHLIB_EXPORT const unsigned NPoints = 3;
    static MATHLIB_EXPORT const std::array<std::array<double, 2>, NPoints> X;
    static MATHLIB_EXPORT const double W[NPoints];
};
 
template <>
struct GaussLegendreTri<3> {
    static MATHLIB_EXPORT const unsigned Order = 3;
    static MATHLIB_EXPORT const unsigned NPoints = 4;
    static MATHLIB_EXPORT const std::array<std::array<double, 2>, NPoints> X;
    static MATHLIB_EXPORT const double W[NPoints];
};
 
template <>
struct GaussLegendreTri<4> {
    static MATHLIB_EXPORT const unsigned Order = 4;
    static MATHLIB_EXPORT const unsigned NPoints = 7;
    static MATHLIB_EXPORT const std::array<std::array<double, 2>, NPoints> X;
    static MATHLIB_EXPORT const double W[NPoints];
};
 
#ifndef _MSC_VER  // The following explicit instantatiation declaration does not
                  // compile on that particular compiler but is necessary.
template <>
const std::array<std::array<double, 2>, GaussLegendreTri<1>::NPoints>
    GaussLegendreTri<1>::X;
template <>
double const GaussLegendreTri<1>::W[1];
#endif
}  // namespace MathLib