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# SPDX-FileCopyrightText: Copyright © DUNE Project contributors, see file LICENSE.md in module root
# SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
from io import StringIO
import math
from dune.common import FieldVector
from dune.grid import gridFunction, structuredGrid
codeFunc = """
#include <cmath>
#include <dune/common/fvector.hh>
#include <dune/common/math.hh>
template <class GridView>
auto myFunction(double a)
{
return [a](const auto& en,const auto& x) -> auto
{
auto y = en.geometry().global(x);
return std::sin(a*Dune::MathematicalConstants<double>::pi()*(y[0]+y[1]));
};
}
"""
codeVecFunc = """
#include <dune/common/fvector.hh>
template <class GridView, class GF>
auto myVecFunction(Dune::FieldVector<double,1> &a, const GF &gf)
{
return [&a,lgf=localFunction(gf)](const auto& en,const auto& x) mutable -> auto
{
lgf.bind(en);
auto v = lgf(x);
auto y = en.geometry().global(x);
return Dune::FieldVector<double,2>{v[0],(y[0]-0.5)*a[0]};
};
}
"""
def testGF_second(gridView):
gf1 = gridView.function(lambda e,x:\
math.sin(math.pi*(e.geometry.toGlobal(x)[0]+e.geometry.toGlobal(x)[1])))
if True:
a = 2.
gf1 = gridView.function(lambda e,x:\
math.sin(a*math.pi*(e.geometry.toGlobal(x)[0]+e.geometry.toGlobal(x)[1])),
name="gf1")
lgf1 = gf1.localFunction()
average1 = 0
for e in gridView.elements:
lgf1.bind(e)
average1 += lgf1([0.5,0.5])*e.geometry.volume
# print(average1)
# gf1.plot()
gf2 = gridView.function("myFunction",StringIO(codeFunc),a,name="gf2")
lgf2 = gf2.localFunction()
average2 = 0
for e in gridView.elements:
lgf2.bind(e)
average2 += lgf2([0.5,0.5])*e.geometry.volume
# print(average2)
# gf2.plot()
# assert abs(average1-average2)<1e-12
diff = 0
for e in gridView.elements:
lgf1.bind(e)
lgf2.bind(e)
diff += abs(lgf1([0.5,0.5])-lgf2([0.5,0.5]))
assert diff<1e-12
if True:
gf1 = gridView.function(lambda e,x:\
[math.sin(2*math.pi*(e.geometry.toGlobal(x)[0]+e.geometry.toGlobal(x)[1])),\
(e.geometry.toGlobal(x)[0]-0.5)*2],
name="gf1")
lgf1 = gf1.localFunction()
average1 = 0
for e in gridView.elements:
lgf1.bind(e)
average1 += sum(lgf1([0.5,0.5]))*e.geometry.volume
# print(average1)
# gf1.plot()
a = FieldVector([2])
gf2 = gridView.function("myVecFunction",StringIO(codeVecFunc),a,gf1,name="gf2")
lgf2 = gf2.localFunction()
average2 = 0
for e in gridView.elements:
lgf2.bind(e)
average2 += sum(lgf2([0.5,0.5]))*e.geometry.volume
# print(average2)
# gf2.plot()
assert abs(average1-average2)<1e-12
diff = 0
for e in gridView.elements:
lgf1.bind(e)
lgf2.bind(e)
diff += abs(lgf1([0.5,0.5]).two_norm-lgf2([0.5,0.5]).two_norm)
assert diff<1e-12
a[0] = 3
diff = 0
for e in gridView.elements:
lgf1.bind(e)
lgf2.bind(e)
v = lgf1([0.5,0.5])
v[1] *= 3./2.
diff += abs(v.two_norm-lgf2([0.5,0.5]).two_norm)
assert diff<1e-12
gridView.writeVTK("test_gf",pointdata=[gf1,gf2])
if False:
a = 2.
@gridFunction(gridView)
def gf1(e,x):
return math.sin(a*math.pi*(e.geometry.toGlobal(x)[0]+e.geometry.toGlobal(x)[1]))
lgf1 = gf1.localFunction()
average1 = 0
for e in gridView.elements:
lgf1.bind(e)
average1 += lgf1([0.5,0.5])*e.geometry.volume
# print(average1)
# gf1.plot()
@gridFunction(gridView)
def gf2(x):
return math.sin(a*math.pi*(x[0]+x[1]))
gf2 = gridView.function("myFunction",StringIO(codeFunc),a,name="gf2")
lgf2 = gf2.localFunction()
average2 = 0
for e in gridView.elements:
lgf2.bind(e)
average2 += lgf2([0.5,0.5])*e.geometry.volume
# print(average2)
# gf2.plot()
assert abs(average1-average2)<1e-12
diff = 0
for e in gridView.elements:
lgf1.bind(e)
lgf2.bind(e)
diff += abs(lgf1([0.5,0.5])-lgf2([0.5,0.5]))
assert diff<1e-12
if __name__ == "__main__":
gridView = structuredGrid([0,0],[1,1],[10,10])
testGF_second(gridView)
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