MarmotNumericalIntegration.h

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/* ---------------------------------------------------------------------
 *                                       _
 *  _ __ ___   __ _ _ __ _ __ ___   ___ | |_
 * | '_ ` _ \ / _` | '__| '_ ` _ \ / _ \| __|
 * | | | | | | (_| | |  | | | | | | (_) | |_
 * |_| |_| |_|\__,_|_|  |_| |_| |_|\___/ \__|
 *
 * Unit of Strength of Materials and Structural Analysis
 * University of Innsbruck,
 * 2020 - today
 *
 * festigkeitslehre@uibk.ac.at
 *
 * Alexander Dummer alexander.dummer@uibk.ac.at
 *
 * This file is part of the MAteRialMOdellingToolbox (marmot).
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * The full text of the license can be found in the file LICENSE.md at
 * the top level directory of marmot.
 * ---------------------------------------------------------------------
 */
 
#pragma once
#include <functional>
 
namespace Marmot {
  namespace NumericalAlgorithms::Integration {
 
    using scalar_to_scalar_function_type = std::function< double( const double x ) >;
 
    enum integrationRule { midpoint, trapezodial, simpson };
 
    double integrateScalarFunction( scalar_to_scalar_function_type     f,
                                    const std::tuple< double, double > integrationLimits,
                                    const int                          n,
                                    const integrationRule              intRule );
  } // namespace NumericalAlgorithms::Integration
} // namespace Marmot