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common.hh
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/**
* file common.hh
*
* @author Till Junge <till.junge@epfl.ch>
*
* @date 01 May 2017
*
* @brief Small definitions of commonly used types througout µSpectre
*
* @section LICENCE
*
* Copyright © 2017 Till Junge
*
* µSpectre is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation, either version 3, or (at
* your option) any later version.
*
* µSpectre is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Emacs; see the file COPYING. If not, write to the
* Free Software Foundation, Inc., 59 Temple Place - Suite 330,
* Boston, MA 02111-1307, USA.
*/
#include <array>
#include <cmath>
#include <complex>
#include <iostream>
#include <type_traits>
#ifndef COMMON_H
#define COMMON_H
namespace muSpectre {
//! Eigen uses signed integers for dimensions. For consistency, µSpectre uses
//! them througout the code
using Dim_t = int;// needs to represent -1 for eigen
constexpr Dim_t oneD{1};
constexpr Dim_t twoD{2};
constexpr Dim_t threeD{3};
constexpr Dim_t firstOrder{1};
constexpr Dim_t secondOrder{2};
constexpr Dim_t fourthOrder{4};
//! Scalar types used for mathematical calculations
using Uint = unsigned int;
using Int = int;
using Real = double;
using Complex = std::complex<Real>;
//! Ccoord_t are cell coordinates, i.e. integer coordinates
template<Dim_t dim>
using Ccoord_t = std::array<Dim_t, dim>;
//! Real space coordinates
template<Dim_t dim>
using Rcoord_t = std::array<Real, dim>;
template<typename T, size_t dim>
std::ostream & operator << (std::ostream & os,
const std::array<T, dim> & index) {
os << "(";
for (size_t i = 0; i < dim-1; ++i) {
os << index[i] << ", ";
}
os << index.back() << ")";
return os;
}
template <size_t dim>
Rcoord_t<dim> operator/(const Rcoord_t<dim> & a, const Rcoord_t<dim> & b) {
Rcoord_t<dim> retval{a};
for (size_t i = 0; i < dim; ++i) {
retval[i]/=b[i];
}
return retval;
}
template <size_t dim>
Rcoord_t<dim> operator/(const Rcoord_t<dim> & a, const Ccoord_t<dim> & b) {
Rcoord_t<dim> retval{a};
for (size_t i = 0; i < dim; ++i) {
retval[i]/=b[i];
}
return retval;
}
//! convenience definitions
constexpr Real pi{3.1415926535897932384626433};
//! compile-time potentiation required for field-size computations
template <typename R, typename I>
constexpr R ipow(R base, I exponent) {
static_assert(std::is_integral<I>::value, "Type must be integer");
R retval{1};
for (I i = 0; i < exponent; ++i) {
retval *= base;
}
return retval;
}
//! continuum mechanics flags
enum class Formulation{finite_strain, small_strain};
std::ostream & operator<<(std::ostream & os, Formulation f);
/* ---------------------------------------------------------------------- */
//! Material laws can declare which type of stress measure they provide,
//! and µSpectre will handle conversions
enum class StressMeasure {
Cauchy, PK1, PK2, Kirchhoff, Biot, Mandel, __nostress__};
std::ostream & operator<<(std::ostream & os, StressMeasure s);
/* ---------------------------------------------------------------------- */
//! Material laws can declare which type of strain measure they require and
//! µSpectre will provide it
enum class StrainMeasure {
Gradient, Infinitesimal, GreenLagrange, Biot, Log, Almansi,
RCauchyGreen, LCauchyGreen, __nostrain__};
std::ostream & operator<<(std::ostream & os, StrainMeasure s);
/* ---------------------------------------------------------------------- */
/** Compile-time functions to set the stress and strain measures
stored by mu_spectre depending on the formulation
**/
constexpr StrainMeasure get_stored_strain_type(Formulation form) {
switch (form) {
case Formulation::finite_strain: {
return StrainMeasure::Gradient;
break;
}
case Formulation::small_strain: {
return StrainMeasure::Infinitesimal;
break;
}
default:
return StrainMeasure::__nostrain__;
break;
}
}
constexpr StressMeasure get_stored_stress_type(Formulation form) {
switch (form) {
case Formulation::finite_strain: {
return StressMeasure::PK1;
break;
}
case Formulation::small_strain: {
return StressMeasure::Cauchy;
break;
}
default:
return StressMeasure::__nostress__;
break;
}
}
/* ---------------------------------------------------------------------- */
/** Compile-time functions to get the stress and strain measures
after they may have been modified by choosing a formulation.
For instance, a law that expecs a Green-Lagrange strain as input
will get the infinitesimal strain tensor instead in a small
strain computation
**/
constexpr StrainMeasure get_formulation_strain_type(Formulation form,
StrainMeasure expected) {
switch (form) {
case Formulation::finite_strain: {
return expected;
break;
}
case Formulation::small_strain: {
return get_stored_strain_type(form);
break;
}
default:
return StrainMeasure::__nostrain__;
break;
}
}
} // muSpectre
#ifndef EXPLICITLY_TURNED_ON_CXX17
#include "common/utilities.hh"
#endif
#endif /* COMMON_H */

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