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element.hh
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Fri, Sep 27, 00:15
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rTAMAAS tamaas
element.hh
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/*
* SPDX-License-Indentifier: AGPL-3.0-or-later
*
* Copyright (©) 2016-2022 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
* Copyright (©) 2020-2022 Lucas Frérot
*
* 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 <boost/preprocessor/array/elem.hpp>
#include <expolit/expolit>
/* -------------------------------------------------------------------------- */
namespace
tamaas
{
template
<
UInt
interpolation_order
>
struct
ExponentialElement
;
template
<>
struct
ExponentialElement
<
1
>
{
template
<
UInt
shape
>
static
constexpr
__device__
__host__
expolit
::
Polynomial
<
Real
,
1
>
shapes
()
{
constexpr
expolit
::
Polynomial
<
Real
,
1
>
z
({
0
,
1
});
if
(
shape
==
0
)
return
0.5
+
(
-
0.5
)
*
z
;
return
0.5
+
0.5
*
z
;
}
static
constexpr
__device__
__host__
auto
sign
(
bool
upper
)
{
return
(
upper
)
?
-
1
:
1
;
}
template
<
bool
upper
,
UInt
shape
>
static
constexpr
__device__
__host__
auto
g0
(
Real
q
)
{
constexpr
expolit
::
Polynomial
<
Real
,
1
>
z
({
0
,
1
});
return
expolit
::
exp
((
q
*
sign
(
upper
))
*
z
)
*
shapes
<
shape
>
();
}
template
<
bool
upper
,
UInt
shape
>
static
constexpr
__device__
__host__
auto
g1
(
Real
q
)
{
constexpr
expolit
::
Polynomial
<
Real
,
1
>
z
({
0
,
1
});
return
expolit
::
exp
((
q
*
sign
(
upper
))
*
z
)
*
(
q
*
z
*
shapes
<
shape
>
());
}
};
// namespace tamaas
}
// namespace tamaas
#endif
// ELEMENT_HH
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