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Fri, Aug 23, 03:38
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rTAMAAS tamaas
function.cpp
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/**
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2016 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas 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 3 of the License, or (at your option) any
* later version.
*
* Tamaas 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
#include "function.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
INTER_FUNC
::
INTER_FUNC
()
{}
/* ------------------------------------------------------------------------ */
INTER_FUNC
::~
INTER_FUNC
()
{}
/* ------------------------------------------------------------------------ */
INTER_FUNC
::
INTER_FUNC
(
INTER_FUNCTION_TYPE
type_
,
std
::
vector
<
Real
>
points_
,
Real
a_
)
{
type
=
type_
;
sm_error
=
false
;
points
.
resize
(
points_
.
size
());
for
(
int
i
=
0
;
i
<
int
(
points
.
size
());
i
++
)
points
[
i
]
=
points_
[
i
];
if
(
type
==
SQ_ROOT
)
{
if
(
points
.
size
()
!=
2
)
{
std
::
cout
<<
std
::
endl
<<
"ERROR 1a: something wrong with interpolation; coef[0] = "
<<
coef
[
0
]
<<
std
::
endl
;
exit
(
1
);
}
coef
.
resize
(
3
);
coef
[
2
]
=
a_
;
Real
y1_sq
=
points
[
0
]
*
points
[
0
],
y2_sq
=
points
[
1
]
*
points
[
1
],
c0
=
y2_sq
/
(
y1_sq
-
y2_sq
),
c1
=
(
2
+
c0
),
c2
=
(
1
-
coef
[
2
]
*
coef
[
2
]
+
0.75
*
c0
),
x01
=
0.5
*
(
c1
+
sqrt
(
c1
*
c1
-
4
*
c2
)),
x02
=
0.5
*
(
c1
-
sqrt
(
c1
*
c1
-
4
*
c2
));
if
(
y1_sq
<=
y2_sq
)
{
if
(
x01
>
0.75
&&
x02
<=
0.75
)
{
coef
[
0
]
=
sqrt
((
y1_sq
-
y2_sq
)
/
(
0.75
-
x01
));
coef
[
1
]
=
x01
;
}
else
if
(
x02
>
0.75
&&
x01
<=
0.75
)
{
coef
[
0
]
=
sqrt
((
y1_sq
-
y2_sq
)
/
(
0.75
-
x02
));
coef
[
1
]
=
x02
;
}
else
if
(
x01
>
0.75
&&
x02
<=
0.75
&&
a_
<=
0.5
)
{
coef
[
0
]
=
sqrt
((
y1_sq
-
y2_sq
)
/
(
0.75
-
x02
));
coef
[
1
]
=
x02
;
}
else
if
(
x02
>
0.75
&&
x01
<=
0.75
&&
a_
<=
0.5
)
{
coef
[
0
]
=
sqrt
((
y1_sq
-
y2_sq
)
/
(
0.75
-
x01
));
coef
[
1
]
=
x01
;
}
else
{
std
::
cout
<<
std
::
endl
<<
"ERROR 1b: something wrong with interpolation; coef[0] = "
<<
coef
[
0
]
<<
std
::
endl
;
exit
(
1
);
}
}
else
{
coef
[
0
]
=
0
;
coef
[
1
]
=
0
;
coef
[
2
]
=
0
;
sm_error
=
true
;
}
return
;
}
else
{
std
::
cout
<<
std
::
endl
<<
"ERROR 3: wrong constructor"
<<
std
::
endl
;
exit
(
1
);
}
}
/* ------------------------------------------------------------------------ */
INTER_FUNC
::
INTER_FUNC
(
INTER_FUNCTION_TYPE
type_
,
std
::
vector
<
Real
>
points_
)
{
type
=
type_
;
sm_error
=
false
;
points
.
resize
(
points_
.
size
());
for
(
int
i
=
0
;
i
<
int
(
points
.
size
());
i
++
)
points
[
i
]
=
points_
[
i
];
if
(
type
==
LINEAR
)
{
if
(
points
.
size
()
!=
2
)
{
std
::
cout
<<
"ERROR 21: Wrong initialization"
<<
std
::
endl
;
exit
(
1
);
}
coef
.
resize
(
2
);
coef
[
0
]
=
points
[
0
];
coef
[
1
]
=
points
[
1
]
-
points
[
0
];
return
;
}
else
if
(
type
==
PARABOLA
)
{
if
(
points
.
size
()
!=
3
)
{
std
::
cout
<<
"ERROR 22: Wrong initialization"
<<
std
::
endl
;
exit
(
1
);
}
coef
.
resize
(
3
);
coef
[
2
]
=
points
[
0
];
coef
[
1
]
=
4
*
points
[
1
]
-
3
*
points
[
0
]
-
points
[
2
];
coef
[
0
]
=
4
*
points
[
1
]
-
4
*
points
[
0
]
-
2
*
coef
[
1
];
return
;
}
else
if
(
type
!=
ZERO
)
{
std
::
cout
<<
std
::
endl
<<
"ERROR 4: wrong constructor"
<<
std
::
endl
;
exit
(
1
);
}
}
/* ------------------------------------------------------------------------ */
Real
INTER_FUNC
::
get_value
(
Real
x
)
{
if
(
type
==
ZERO
)
{
return
0.
;
}
else
if
(
type
==
LINEAR
)
{
return
coef
[
0
]
+
coef
[
1
]
*
x
;
}
else
if
(
type
==
SQ_ROOT
)
{
Real
a_sq
=
coef
[
2
]
*
coef
[
2
],
x_x0_sq
=
(
x
-
coef
[
1
])
*
(
x
-
coef
[
1
]);
if
(
a_sq
>
x_x0_sq
)
return
coef
[
0
]
*
sqrt
(
a_sq
-
x_x0_sq
);
else
return
0.
;
}
else
if
(
type
==
PARABOLA
)
{
return
coef
[
0
]
*
x
*
x
+
coef
[
1
]
*
x
+
coef
[
2
];
}
std
::
cout
<<
std
::
endl
<<
"ERROR 4.5: unknown interpolation type"
<<
std
::
endl
;
exit
(
1
);
return
0.
;
}
/* ------------------------------------------------------------------------ */
Real
INTER_FUNC
::
get_derivative
(
Real
x
)
{
if
(
type
==
ZERO
)
{
return
0.
;
}
else
if
(
type
==
LINEAR
)
{
return
coef
[
1
]
*
x
;
}
else
if
(
type
==
SQ_ROOT
)
{
Real
a_sq
=
coef
[
2
]
*
coef
[
2
],
x_x0_sq
=
(
x
-
coef
[
1
])
*
(
x
-
coef
[
1
]);
if
(
a_sq
>
x_x0_sq
)
return
coef
[
0
]
*
(
coef
[
1
]
-
x
)
/
sqrt
(
a_sq
-
x_x0_sq
);
else
return
0.
;
}
else
if
(
type
==
PARABOLA
)
{
return
2
*
coef
[
0
]
*
x
+
coef
[
1
];
}
std
::
cout
<<
std
::
endl
<<
"ERROR 3: something wrong with interpolation"
<<
std
::
endl
;
exit
(
1
);
}
__END_TAMAAS__
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