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element.hh
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Sun, Jul 7, 10:50
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rTAMAAS tamaas
element.hh
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/**
* @file
* LICENSE
*
* Copyright (©) 2016-2021 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef ELEMENT_HH
#define ELEMENT_HH
/* -------------------------------------------------------------------------- */
#include "tamaas.hh"
#include <expolit/expolit>
/* -------------------------------------------------------------------------- */
namespace
tamaas
{
template
<
UInt
interpolation_order
>
class
ExponentialElement
;
template
<>
class
ExponentialElement
<
1
>
{
private
:
static
constexpr
auto
z
=
expolit
::
Polynomial
<
Real
,
1
>
({
0
,
1
});
public
:
static
constexpr
std
::
array
<
expolit
::
Polynomial
<
Real
,
1
>
,
2
>
shapes
=
{
(
0.5
+
(
-
0.5
)
*
z
),
(
0.5
+
0.5
*
z
)};
static
constexpr
auto
sign
(
bool
upper
)
{
return
(
upper
)
?
-
1
:
1
;
}
template
<
bool
upper
,
UInt
shape
>
static
constexpr
auto
g0
(
Real
q
)
{
return
expolit
::
exp
((
q
*
sign
(
upper
))
*
z
)
*
shapes
[
shape
];
}
template
<
bool
upper
,
UInt
shape
>
static
constexpr
auto
g1
(
Real
q
)
{
return
expolit
::
exp
((
q
*
sign
(
upper
))
*
z
)
*
(
q
*
z
*
shapes
[
shape
]);
}
};
}
// namespace tamaas
#endif
// ELEMENT_HH
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