/usr/bin/diffoscope --timeout 7200 --html /srv/reproducible-results/rbuild-debian/r-b-build.cZHxMzSP/dune-localfunctions_2.9.0-2.diffoscope.html --text /srv/reproducible-results/rbuild-debian/r-b-build.cZHxMzSP/dune-localfunctions_2.9.0-2.diffoscope.txt --json /srv/reproducible-results/rbuild-debian/r-b-build.cZHxMzSP/dune-localfunctions_2.9.0-2.diffoscope.json --profile=- /srv/reproducible-results/rbuild-debian/r-b-build.cZHxMzSP/b1/dune-localfunctions_2.9.0-2_i386.changes /srv/reproducible-results/rbuild-debian/r-b-build.cZHxMzSP/b2/dune-localfunctions_2.9.0-2

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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
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65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
68	··<div·class="summary">	68	··<div·class="summary">
69	<a·href="#nested-classes">Classes</a>·\|	69	<a·href="#nested-classes">Classes</a>·\|
70	<a·href="#namespaces">Namespaces</a>··</div>	70	<a·href="#namespaces">Namespaces</a>··</div>
71	··<div·class="headertitle"><div·class="title">refinedp0~~localbas~~is.hh·File·Reference</div></div>	71	··<div·class="headertitle"><div·class="title">edges0.5.hh·File·Reference</div></div>
72	</div><!--header-->	72	</div><!--header-->
73	<div·class="contents">	73	<div·class="contents">
74	<div·class="textblock"><code>#include·<numeric></code><br·/>	74	<div·class="textblock"><code>#include·<dune/geometry/type.hh></code><br·/>
75	<code>#include·<dune/common/fvector.hh></code><br·/>
76	<code>#include·<dune/common/fmatrix.hh></code><br·/>
77	<code>#include·<<a·class="el"·href="a04464_source.html">dune/localfunctions/~~common~~/~~local~~basis.hh</a>></code><br·/>	75	<code>#include·<<a·class="el"·href="a04479_source.html">dune/localfunctions/whitney/edges0.5/basis.hh</a>></code><br·/>
78	<code>#include·<<a·class="el"·href="a0~~0026~~_source.html">dune/localfunctions/~~refi~~ne~~d/commo~~n/refineds~~implexlocalbasi~~s.hh</a>></code><br·/>	76	<code>#include·<<a·class="el"·href="a04485_source.html">dune/localfunctions/whitney/edges0.5/coefficients.hh</a>></code><br·/>
		77	<code>#include·<<a·class="el"·href="a04494_source.html">dune/localfunctions/whitney/edges0.5/interpolation.hh</a>></code><br·/>
79	</div>	78	</div>
80	<p><a·href="a00011_source.html">Go·to·the·source·code·of·this·file.</a></p>	79	<p><a·href="a00011_source.html">Go·to·the·source·code·of·this·file.</a></p>
81	<table·class="memberdecls">	80	<table·class="memberdecls">
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83	Classes</h2></td></tr>	82	Classes</h2></td></tr>
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85	<tr·class="memdesc:"><td·class="mdescLeft"> </td><td·class="mdescRight">Unif~~orm~~l~~y·r~~efined·co~~nstan~~t·s~~hap~~e~~·functions·o~~n·a·unit·simpl~~ex·~~i~~n·R^dim~~.··<a·href="a02~~557~~.html#details">More...</a><br·/></td></tr>	84	<tr·class="memdesc:"><td·class="mdescLeft"> </td><td·class="mdescRight">FiniteElement·for·lowest·order·edge·elements·on·simplices.··<a·href="a02969.html#details">More...</a><br·/></td></tr>
		85	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>
		86	<tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct· </td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02973.html">Dune::EdgeS0_5FiniteElement<·Geometry,·RF·>::Traits</a></td></tr>
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		88	<tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">struct· </td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02977.html">Dune::EdgeS0_5FiniteElementFactory<·Geometry,·RF·></a></td></tr>
		89	<tr·class="memdesc:"><td·class="mdescLeft"> </td><td·class="mdescRight">Factory·for·<a·class="el"·href="a02969.html"·title="FiniteElement·for·lowest·order·edge·elements·on·simplices.">EdgeS0_5FiniteElement</a>·objects.··<a·href="a02977.html#details">More...</a><br·/></td></tr>
86	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>	90	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>
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88	<tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="namespaces"·name="namespaces"></a>	92	<tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="namespaces"·name="namespaces"></a>
89	Namespaces</h2></td></tr>	93	Namespaces</h2></td></tr>
90	<tr·class="memitem:a00583"><td·class="memItemLeft"·align="right"·valign="top">namespace· </td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00583.html">Dune</a></td></tr>	94	<tr·class="memitem:a00583"><td·class="memItemLeft"·align="right"·valign="top">namespace· </td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a00583.html">Dune</a></td></tr>
91	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>	95	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>
92	</table>	96	</table>


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·whitney
7	····*·refined
8	····*·refinedp0
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces
		9	edges0.5.hh·File·Reference
		10	#include·<dune/geometry/type.hh>
10	refinedp0localbasis.hh·File·Reference
11	#include·<numeric>
12	#include·<dune/common/fvector.hh>
13	#include·<dune/common/fmatrix.hh>
14	#include·<dune/localfunctions/~~common~~/~~local~~basis.hh>	11	#include·<dune/localfunctions/whitney/edges0.5/basis.hh>
15	#include·<dune/localfunctions/~~refi~~ne~~d/commo~~n/refineds~~implexlocalbasi~~s.hh>	12	#include·<dune/localfunctions/whitney/edges0.5/coefficients.hh>
		13	#include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>
16	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
17	·Classes	15	·Classes
18	class· Dune::RefinedP0LocalBasis<_D,_R,_dim_>
19	······Uniformly·refined·constant·shape·functions·on·a·unit·simplex·in·R^dim.
20	··~~······M~~or~~e...~~	16	·class· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_>
		17	·······FiniteElement·for·lowest·order·edge·elements·on·simplices.·More...
		18
		19	struct· Dune::EdgeS0_5FiniteElement<_Geometry,_RF_>::Traits
		20
		21	struct· Dune::EdgeS0_5FiniteElementFactory<_Geometry,_RF_>
		22	·······Factory·for·EdgeS0_5FiniteElement·objects.·More...
21		23
22	·Namespaces	24	·Namespaces
23	namespace· Dune	25	namespace· Dune
24		26

25	===============================================================================	27	===============================================================================
26	·····Generated·by [doxygen]·1.9.4	28	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·whitney
+edges0.5.hh
+····*·refined
+····*·refinedp0
+refinedp0localbasis.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_REFINED_P0_LOCALBASIS_HH
+·6#define·DUNE_REFINED_P0_LOCALBASIS_HH
+·7
+·8#include·<numeric>
+·9
+·10#include·<dune/common/fvector.hh>
+·11#include·<dune/common/fmatrix.hh>
+·12
+·13#include·<dune/localfunctions/common/localbasis.hh>
+·14#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
+·5
+·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH
+·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_HH
+·8
+·9#include·<dune/geometry/type.hh>
+·10
+·11#include·<dune/localfunctions/whitney/edges0.5/basis.hh>
+·12#include·<dune/localfunctions/whitney/edges0.5/coefficients.hh>
+·13#include·<dune/localfunctions/whitney/edges0.5/interpolation.hh>
+·14
+·15namespace·Dune·{
+·17{
+·18
+·37·template<class·D,·class·R,·int·dim>
+·class·RefinedP0LocalBasis
+·39·:·public·RefinedSimplexLocalBasis<D,dim>
+·40·{
+·41·//·2·to·the·k-th·power
+·16
+·18·//
+·19·//·FiniteElement
+·20·//
+·21
+·23
+·41·template<class·Geometry,·class·RF>
+·class·EdgeS0_5FiniteElement·{
+·43·public:
+·struct·Traits·{
+·typedef·EdgeS0_5Basis<Geometry,_RF>·Basis;
+·49·typedef·EdgeS0_5Interpolation<Geometry,
+·typename·Basis::Traits>·Interpolation;
+·typedef·EdgeS0_5Coefficients<Geometry::mydimension>·Coefficients;
+·52·};
+·53
+·54·private:
+·55·typename·Traits::Basis·basis_;
+·56·typename·Traits::Interpolation·interpolation_;
+·57·static·const·typename·Traits::Coefficients&·coefficients_;
+·58
+·59·public:
+·typedef·LocalBasisTraits<D,dim,Dune::FieldVector<D,dim>,R,1,Dune::
+FieldVector<R,1>,·Dune::FieldMatrix<R,1,dim>·>·Traits;
+·46
+·unsigned·int·size·()·const
+·49·{
+·50·return·N;
+·51·}
+·52
+·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
+·55·std::vector<typename·Traits::RangeType>&·out)·const
+·56·{
+·57·int·subElement·=·this->getSubElement(in);
+·58·out.resize(N);
+·59·for(int·i=0;·i<N;·++i)
+·60·out[i]·=·(i==subElement)·?·1·:·0;
+·61
+·64·template<class·VertexOrder>
+·EdgeS0_5FiniteElement(const·Geometry&·geo,
+·66·const·VertexOrder&·vertexOrder)·:
+·67·basis_(geo,·vertexOrder),·interpolation_(geo,·vertexOrder)
+·68·{·}
+·69
+·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
+·const·typename·Traits::Interpolation&·interpolation()·const
+·74·{·return·interpolation_;·}
+·const·typename·Traits::Coefficients&·coefficients()·const
+·77·{·return·coefficients_;·}
+·static·constexpr·GeometryType·type()·{·return·GeometryTypes::simplex
+(Geometry::mydimension);·}
+·80·};
+·81
+·82·template<class·Geometry,·class·RF>
+·83·const·typename·EdgeS0_5FiniteElement<Geometry,_RF>::Traits::Coefficients&
+·84·EdgeS0_5FiniteElement<Geometry,·RF>::coefficients_·=
+·85·typename·Traits::Coefficients();
+·62
+·63·inline·void
+·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
+·65·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
+·66·{
+·67·out.resize(N);
+·68·for(int·i=0;·i<N;·++i)
+·69·out[i][0]·=·0;
+·70·}
+·71
+·void·partial·(const·std::array<unsigned·int,·dim>&·order,
+·74·const·typename·Traits::DomainType&·in,·//·position
+·75·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
+·76·{
+·77·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
+·78·if·(totalOrder·==·0)·{
+·79·evaluateFunction(in,·out);
+·80·}·else·{
+·81·out.resize(size());
+·82·for·(std::size_t·i·=·0;·i·<·size();·++i)
+·83·out[i]·=·0;
+·84·}
+·85·}
+·86


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·~~refi~~nedp0	7	····*·whitney
		8	····*·edges0.5
9	Classes·\|·Namespaces	9	Classes·\|·Namespaces
10	~~refinedp0local~~co~~efficie~~nts.hh·File·Reference	10	common.hh·File·Reference
11	#include·<cstddef>	11	#include·<cstddef>
12	#include·<iostream>
13	#include·<vector>
14	#include·<dune/~~localfunc~~tions/common/lo~~calke~~y.hh>	12	#include·<dune/geometry/dimension.hh>
		13	#include·<dune/geometry/referenceelements.hh>
		14	#include·<dune/geometry/type.hh>
15	Go_to_the_source_code_of_this_file.	15	Go_to_the_source_code_of_this_file.
16	·Classes	16	·Classes
17	class· Dune::RefinedP0LocalCoefficients<_k_>
18	~~······Layou~~t·~~map·for·Refin~~e~~dP0·ele~~men~~ts.·More...~~	17	struct· Dune::EdgeS0_5Common<_dim,_DF_>
		18	·······Common·base·class·for·edge·elements.·More...
19		19
20	·Namespaces	20	·Namespaces
21	namespace· Dune	21	namespace· Dune
22		22

23	===============================================================================	23	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	24	·····Generated·by [doxygen]·1.9.4


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·refinedp0
9	~~refinedp0localcoeffic~~ients~~.hh~~	7	····*·whitney
		8	····*·edges0.5
		9	common.hh
10	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
16	·5#ifndef·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH
17	·6#define·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH
18	·7	16	·5
		17	·6#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
		18	·7#define·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
		19	·8
19	·8#include·<cstddef>	20	·9#include·<cstddef>
20	·9#include·<iostream>
21	·10#include·<vector>
22	·11
23	·12#include·<dune/localfunctions/common/localkey.hh>
24	·13	21	·10
		22	·11#include·<dune/geometry/dimension.hh>
		23	·12#include·<dune/geometry/referenceelements.hh>
		24	·13#include·<dune/geometry/type.hh>
		25	·14
25	·14namespace·Dune	26	·15namespace·Dune·{
26	·15{
27	·16	27	·16
28	·23·template<unsigned·int·k>
29	24·class·RefinedP0LocalCoefficients
30	·25·{
31	·26·//·2·to·the·k-th·power
32	·27·~~cons~~te~~xpr·~~static~~·int~~·N·=·~~1<<k;~~	28	·18·template<std::size_t·dim,·class·DF·=·double>
		29	19·struct·EdgeS0_5Common·{
		30	21·using·RefElem·=
		31	·22·decltype(referenceElement(DF{},·GeometryTypes::simplex(dim),
		32	·23·Dim<dim>{}));
		33	·24
		34	26·RefElem·refelem·=·referenceElement(DF{},·GeometryTypes::simplex(dim),
		35	·27·Dim<dim>{});
33	·28	36	·28
		37	·30
		38	34·std::size_t·s·=·refelem.size(dim-1);
34	·29·public:
35	30·RefinedP0LocalCoefficients·()·:
36	·31·localKeys_(N)
37	·32·{
38	·33·//·All·functions·are·associated·to·the·element
39	·34·for·(int·i·=·0;·i·<·N;·++i)
40	·35·localKeys_[i]·=·LocalKey(0,0,i);
41	·36·}
42	·37
43	39·std::size_t·size·()·const
44	·40·{
45	·41·return·N;
46	·42·}
47	·43
48	45·const·LocalKey&·localKey·(std::size_t·i)·const
49	·46·{
50	·47·return·localKeys_[i];
51	·48·}
52	·49
53	·50·private:
54	·51·std::vector<LocalKey>·localKeys_;
55	·52
56	·53·};	39	·35·};
		40	·36
		41	·37}·//·namespace·Dune
		42	·38
		43	·39#endif·//·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH
57	·54
58	·55}
59	·56
60	·57#endif
61	localkey.hh
62	Dune	44	Dune
63	Definition:·bdfmcube.hh:18	45	Definition:·bdfmcube.hh:18
64	Dune::LocalKey
65	D~~escribe·positi~~on~~·of·one·~~degree·~~of·freed~~om.	46	Dune::EdgeS0_5Common
		47	Common·base·class·for·edge·elements.
		48	Definition:·common.hh:19
		49	Dune::EdgeS0_5Common::refelem
		50	RefElem·refelem
		51	The·reference·element·for·this·edge·element.
		52	Definition:·common.hh:26
		53	Dune::EdgeS0_5Common::RefElem
		54	decltype(referenceElement(DF{},·GeometryTypes::simplex(dim),·Dim<·dim·>{}))
		55	RefElem
		56	The·type·of·the·referenceElement.
66	Definition:·loc~~alkey~~.hh:23	57	Definition:·common.hh:23
		58	Dune::EdgeS0_5Common::s
		59	std::size_t·s
		60	The·number·of·base·functions.
		61	Definition:·common.hh:34
67	Dune::RefinedP0LocalCoefficients
68	Layout·map·for·RefinedP0·elements.
69	Definition:·refinedp0localcoefficients.hh:25
70	Dune::RefinedP0LocalCoefficients::RefinedP0LocalCoefficients
71	RefinedP0LocalCoefficients()
72	Definition:·refinedp0localcoefficients.hh:30
73	Dune::RefinedP0LocalCoefficients::size
74	std::size_t·size()·const
75	number·of·coefficients
76	Definition:·refinedp0localcoefficients.hh:39
77	Dune::RefinedP0LocalCoefficients::localKey
78	const·LocalKey·&·localKey(std::size_t·i)·const
79	get·i'th·index
80	Definition:·refinedp0localcoefficients.hh:45

81	===============================================================================	62	===============================================================================
82	·····Generated·by [doxygen]·1.9.4	63	·····Generated·by [doxygen]·1.9.4


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·common	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2cube2d
9	Classes·\|·Namespaces	9	Classes·\|·Namespaces
		10	brezzidouglasmarini2cube2dlocalinterpolation.hh·File·Reference
		11	#include·<vector>
		12	#include·<dune/geometry/quadraturerules.hh>
10	refinedsimplexlocalbasis.hh·File·Reference
11	Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.
12	More...
13	#include·<dune/common/fvector.hh>
14	#include·<dune/common/exceptions.hh>
15	#include·<dune/localfunctions/common/localbasis.hh>	13	#include·<dune/localfunctions/common/localinterpolation.hh>
16	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
17	·Classes	15	·Classes
		16	class· Dune::BDM2Cube2DLocalInterpolation<_LB_>
		17	······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
		18	········More...
18	class· Dune::RefinedSimplexLocalBasis<_D,_dim_>
19
20	class· Dune::RefinedSimplexLocalBasis<_D,_1_>
21	······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·1D;
22	········provides·numbering·and·local·coordinates·of·subelements.·More...
23
24	class· Dune::RefinedSimplexLocalBasis<_D,_2_>
25	······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·2D;
26	········provides·numbering·and·local·coordinates·of·subelements.·More...
27
28	class· Dune::RefinedSimplexLocalBasis<_D,_3_>
29	······Base·class·for·LocalBasis·classes·based·on·uniform·refinement·in·3D;
30	········provides·numbering·and·local·coordinates·of·subelements.·More...
31		19
32	·Namespaces	20	·Namespaces
33	namespace· Dune	21	namespace· Dune
34		22
35	***·Detailed·Description·***
36	Contains·a·base·class·for·LocalBasis·classes·based·on·uniform·refinement.

37	===============================================================================	23	===============================================================================
38	·····Generated·by [doxygen]·1.9.4	24	·····Generated·by [doxygen]·1.9.4


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·common
9	re~~finedsimplexl~~ocalbas~~is.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2cube2d
		9	brezzidouglasmarini2cube2dlocalinterpolation.hh
10	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
16	·5#ifndef·DUNE_REFINED_SIMPLEX_LOCALBASIS_HH
17	·6#define·DUNE_REFINED_SI~~MPL~~EX_LOCALBASIS_HH	16	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
		17	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
18	·7	18	·7
19	·12#include·<dune/common/fvector.hh>
20	·13#include·<~~dune/common~~/exceptio~~ns.h~~h>	19	·8#include·<vector>
		20	·9
		21	·10#include·<dune/geometry/quadraturerules.hh>
21	·14#include·<dune/localfunctions/common/localbasis.hh>	22	·11#include·<dune/localfunctions/common/localinterpolation.hh>
		23	·12
		24	·13namespace·Dune
		25	·14{
22	·15	26	·15
		27	·24·template<class·LB>
		28	25·class·BDM2Cube2DLocalInterpolation
23	·16namespace·Dune
24	·17{
25	·18·template<class·D,·int·dim>
26	19·class·RefinedSimplexLocalBasis
27	·20·{	29	·26·{
28	·21·protected:
29	22·RefinedSimplexLocalBasis()
30	·23·{
31	·24·DUNE_THROW(Dune::NotImplemented,"RefinedSimplexLocalBasis·not·implemented
32	for·dim·>·3.");
33	·25·}
34	·26·};
35	·27	30	·27
36	·35·template<class·D>
37	36·~~cla~~ss·~~RefinedSim~~p~~lexLo~~cal~~Bas~~i~~s<D,~~1>	31	·28·public:
		32	30·BDM2Cube2DLocalInterpolation()
38	·37·{	33	·31·{
		34	·32·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
		35	·33·}
		36	·34
		37	40·BDM2Cube2DLocalInterpolation(unsigned·int·s)
39	·38·protected:
40	·39
41	41·RefinedSimplexLocalBasis()·{}
42	·42
43	53·static·int·getSubElement(const·FieldVector<D,1>&·global)
44	·54·{	38	·41·{
45	·55·if·(global[0]·<=·0.5)
46	·56·return·0;
47	·57·else·if·(global[0]·<=·1.0)
48	·58·~~retur~~n·1;	39	·42·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
		40	·43·if·(s·&·1)
		41	·44·{
		42	·45·sign0·=·-1.0;
		43	·46·}
		44	·47·if·(s·&·2)
		45	·48·{
		46	·49·sign1·=·-1.0;
		47	·50·}
		48	·51·if·(s·&·4)
		49	·52·{
		50	·53·sign2·=·-1.0;
		51	·54·}
		52	·55·if·(s·&·8)
		53	·56·{
		54	·57·sign3·=·-1.0;
		55	·58·}
49	·59	56	·59
50	·60·~~DUNE_THROW(InvalidStateExceptio~~n,~~·"no~~·~~subelemen~~t·~~defined")~~;	57	·60·n0[0]·=·-1.0;
		58	·61·n0[1]·=·0.0;
		59	·62·n1[0]·=·1.0;
		60	·63·n1[1]·=·0.0;
		61	·64·n2[0]·=·0.0;
		62	·65·n2[1]·=·-1.0;
		63	·66·n3[0]·=·0.0;
		64	·67·n3[1]·=·1.0;
51	·61·}	65	·68·}
		66	·69
		67	·78·template<typename·F,·typename·C>
		68	79·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const
		69	·80·{
		70	·81·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
		71	·82·typedef·typename·LB::Traits::RangeFieldType·Scalar;
		72	·83·typedef·typename·LB::Traits::DomainFieldType·Vector;
52	·62
53	69·static·void·getSubElement(const·FieldVector<D,1>&·global,
54	·70·int&·subElement,
55	·71·FieldVector<D,1>&·local)
56	·72·{
57	·73·if·(global[0]·<=·0.5)·{
58	·74·subElement·=·0;
59	·75·local[0]·=·2.0·*·global[0];
60	·76·return;
61	·77·}
62	·78
63	·79·subElement·=·1;
64	·80·local[0]·=·2.0·*·global[0]·-·1.0;
65	·81·}
66	·82
67	·83·};
68	·84	73	·84
69	·85
70	·96·template<class·D>
71	97·cla~~ss·Ref~~in~~edSimp~~lexLocalB~~asis<D,2>~~	74	·85·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
		75	DomainType>(ff);
		76	·86
		77	·87·out.resize(14);
		78	·88·fill(out.begin(),·out.end(),·0.0);
		79	·89
		80	·90·const·int·qOrder·=·4;
		81	·91·const·QuadratureRule<Scalar,1>&·rule·=·QuadratureRules<Scalar,1>::rule
		82	(GeometryTypes::cube(1),·qOrder);
		83	·92
		84	·93·for·(typename·QuadratureRule<Scalar,1>::const_iterator·it·=·rule.begin();
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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·refi~~nedp1~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2cube2d
9	Classes·\|·Namespaces	9	Classes·\|·Namespaces
		10	brezzidouglasmarini2cube2dlocalcoefficients.hh·File·Reference
		11	#include·<cstddef>
		12	#include·<vector>
		13	#include·"../../common/localkey.hh"
10	refinedp1localbasis.hh·File·Reference
11	Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element.
12	More...
13	#include·<numeric>
14	#include·<dune/common/fmatrix.hh>
15	#include·<dune/localfunctions/refined/common/refinedsimplexlocalbasis.hh>
16	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
17	·Classes	15	·Classes
		16	class· Dune::BDM2Cube2DLocalCoefficients
		17	······Layout·map·for·Brezzi-Douglas-Marini-2·elements·on·quadrilaterals.
18	class· Dune::RefinedP1LocalBasis<_D,_R,_dim_>
19
20	class· Dune::RefinedP1LocalBasis<_D,_R,_1_>
21	······Uniformly·refined·linear·Lagrange·shape·functions·in·1D.·More...
22
23	class· Dune::RefinedP1LocalBasis<_D,_R,_2_>
24	······Uniformly·refined·linear·Lagrange·shape·functions·on·the·triangle.
25	········More...	18	········More...
26		19
27	class· Dune::RefinedP1LocalBasis<_D,_R,_3_>
28	······Uniformly·refined·linear·Lagrange·shape·functions·on·the·3D-simplex
29	········(tetrahedron).·More...
30
31	·Namespaces	20	·Namespaces
32	namespace· Dune	21	namespace· Dune
33		22
34	***·Detailed·Description·***
35	Linear·Lagrange·shape·functions·on·a·uniformly·refined·reference·element.

36	===============================================================================	23	===============================================================================
37	·····Generated·by [doxygen]·1.9.4	24	·····Generated·by [doxygen]·1.9.4


Offset 4, 871 lines modified		Offset 4, 82 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·refined
8	····*·refinedp1
9	~~refin~~e~~dp1l~~ocalbas~~is.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2cube2d
		9	brezzidouglasmarini2cube2dlocalcoefficients.hh
10	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
16	·5#ifndef·DUNE_REFINED_P1_LOCALBASIS_HH
17	·6#define·DUNE_REFINED_P1_LOCAL~~BAS~~IS_HH	16	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
		17	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
18	·7	18	·7
19	·12#include·<numeric>
20	·13
21	·14#include·<~~dune/~~c~~ommon/fm~~atri~~x.hh~~>	19	·8#include·<cstddef>
		20	·9#include·<vector>
		21	·10
		22	·11#include·"../../common/localkey.hh"
		23	·12
		24	·13namespace·Dune
		25	·14{
Diff chunk too large, falling back to line-by-line diff (32 lines added, 742 lines removed)
22	·15	26	·15
23	~~·16#include·<d~~une/local~~funct~~io~~ns/r~~ef~~ined/common/re~~fi~~ned~~si~~mpl~~e~~xlocalba~~sis~~.hh>~~	27	23·class·BDM2Cube2DLocalCoefficients
24	·17	28	·24·{
25	·~~18namespace·Du~~ne	29	·25
26	·~~19{~~	30	·26·public:
27	·20·~~templat~~e<c~~lass·D,·~~c~~lass·R,~~·~~int·dim>~~	31	28·BDM2Cube2DLocalCoefficients()·:·li(14)
28	21·~~cla~~ss·~~RefinedP1LocalBasi~~s	32	·29·{
29	·22·:~~·public·Ref~~ine~~dSimplexLocalBasis<D,d~~im>	33	·30·for·(std::size_t·i·=·0;·i·<·4;·++i)
30	·23·{	34	·31·{
31	·24·~~pub~~lic:	35	·32·li[3·*·i]·=·LocalKey(i,1,0);
32	25·~~Ref~~i~~nedP1~~Local~~Bas~~is()	36	·33·li[3·*·i·+·1]·=·LocalKey(i,1,1);
33	·26·{	37	·34·li[3·*·i·+·2]·=·LocalKey(i,1,2);
34	·~~27·DUNE_THROW(Dune::NotImplemented,"RefinedP1LocalBasis·not·implement~~ed·for	38	·35·}
35	dim·>·~~3."~~);	39	·36·li[12]·=·LocalKey(0,0,0);
36	·28·}	40	·37·li[13]·=·LocalKey(0,0,1);
37	·29·};	41	·38·}
38	·30	42	·39
39	~~·52·~~t~~emplat~~e~~<class·D,~~·class·R>	43	41·std::size_t·size()·const
40	53·~~cla~~ss·~~RefinedP1LocalBasis<D,R,1~~>	44	·42·{
41	·54~~·:·publi~~c·~~RefinedSimp~~le~~xLocalBasis<D,1>~~	45	·43·return·14;
42	·55·{	46	·44·}
43	·~~56·publi~~c:	47	·45
44	·58·ty~~pedef~~·Local~~BasisTraits<D,1,Dune~~::Fi~~eld~~Vect~~or<D,1>,R,1,Du~~ne::	48	47·const·LocalKey&·localKey(std::size_t·i)·const
45	~~FieldVector<R,1>,~~	49	·48·{
46	59·~~Dune::Fi~~e~~ldMa~~t~~rix<R,1,1>·>~~·~~Tra~~its;	50	·49·return·li[i];
47	·60	51	·50·}
48	~~62·static·constexpr·unsigned·int·size~~·()	52	·51
49	·63·{	53	·52·private:
50	·64·return·3;	54	·53·std::vector<LocalKey>·li;
51	·65·}	55	·54·};
52	·66	56	·55}·//·end·namespace·Dune
53	~~68·inline·void·evaluateFunction·(const~~·~~typ~~en~~ame·Traits::Dom~~ai~~nType~~&·in,	57	·56#endif·/
54	·~~69·std::vector<typename·Traits::~~R~~angeType>&·out)·const~~	58	/·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH
55	·70·{
56	·71·out.resize(3);
57	·72
58	·73·int·subElement;
59	·74·typename·Traits::DomainType·local;
60	·75·this->getSubElement(in,·subElement,·local);
61	·76
62	·77·switch·(subElement)·{
63	·78·case·0·:
64	·79
65	·80·out[0]·=·1·-·local[0];
66	·81·out[1]·=·local[0];
67	·82·out[2]·=·0;
68	·83·break;
69	·84
70	·85·case·1·:
71	·86
72	·87·out[0]·=·0;
73	·88·out[1]·=·1·-·local[0];
74	·89·out[2]·=·local[0];
75	·90·break;
76	·91
77	·92·}
78	·93
79	·94·}
80	·95
81	·97·inline·void
82	98·evaluateJacobian·(const·typename·Traits::DomainType&·in,·//·position
83	·99·std::vector<typename·Traits::JacobianType>&·out)·const·//·return·value
84	·100·{
85	·101·out.resize(3);
86	·102
87	·103·int·subElement;
88	·104·typename·Traits::DomainType·local;
89	·105·this->getSubElement(in,·subElement,·local);
90	·106
91	·107·switch·(subElement)·{
92	·108·case·0·:
93	·109
94	·110·out[0][0][0]·=·-2;
95	·111·out[1][0][0]·=·2;
96	·112·out[2][0][0]·=·0;
97	·113·break;
98	·114
99	·115·case·1·:
100	·116
101	·117·out[0][0][0]·=·0;
102	·118·out[1][0][0]·=·-2;
103	·119·out[2][0][0]·=·2;
104	·120·break;
105	·121
106	·122·}
107	·123·}
108	·124
109	126·void·partial·(const·std::array<unsigned·int,·1>&·order,
110	·127·const·typename·Traits::DomainType&·in,·//·position
111	·128·std::vector<typename·Traits::RangeType>&·out)·const·//·return·value
112	·129·{
113	·130·auto·totalOrder·=·order[0];
114	·131·if·(totalOrder·==·0)·{
115	·132·evaluateFunction(in,·out);
116	·133·}·else·if·(totalOrder·==·1)
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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·brezzidouglas~~fortin~~marini	7	····*·brezzidouglasmarini
8	····*·cube
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces
		9	brezzidouglasmarini1cube2d.hh·File·Reference
10	localcoefficients.hh·File·Reference
11	#include·<cstddef>
12	#include·<vector>
13	#include·<dune/common/math.hh>
14	#include·<dune/common/rangeutilities.hh>
15	#include·<dune/com~~mon~~/type~~traits~~.hh>	10	#include·<dune/geometry/type.hh>
16	#include·~~<dune~~/localfunction~~s/com~~mon/~~loc~~al~~key~~.hh>	11	#include·"../common/localfiniteelementtraits.hh"
		12	#include·"brezzidouglasmarini1cube2d/brezzidouglasmarini1cube2dlocalbasis.hh"
		13	#include·"brezzidouglasmarini1cube2d/
		14	brezzidouglasmarini1cube2dlocalcoefficients.hh"
		15	#include·"brezzidouglasmarini1cube2d/
		16	brezzidouglasmarini1cube2dlocalinterpolation.hh"
17	Go_to_the_source_code_of_this_file.	17	Go_to_the_source_code_of_this_file.
18	·Classes	18	·Classes
19	class· Dune::BDFMCubeLocalCoefficients<_D,_R,_dim,_order_>
20	~~·····~~·Layout~~·map·for·Br~~e~~zzi~~-Do~~ugl~~as-F~~ort~~in~~-Mar~~in~~i·e~~lement~~s·on·cubes.·More...~~	19	class· Dune::BDM1Cube2DLocalFiniteElement<_D,_R_>
		20	······First·order·Brezzi-Douglas-Marini·shape·functions·on·quadrilaterals.
		21	········More...
21		22
22	·Namespaces	23	·Namespaces
23	namespace· Dune	24	namespace· Dune
24		25

25	===============================================================================	26	===============================================================================
26	·····Generated·by [doxygen]·1.9.4	27	·····Generated·by [doxygen]·1.9.4


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1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">	1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>	7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8	<title>dune-localfunctions:·~~refinedp0local~~co~~efficie~~nts.hh·Source·File</title>	8	<title>dune-localfunctions:·common.hh·Source·File</title>
9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>	9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10	<script·type="text/javascript"·src="jquery.js"></script>	10	<script·type="text/javascript"·src="jquery.js"></script>
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13	<script·type="text/javascript"·src="search/searchdata.js"></script>	13	<script·type="text/javascript"·src="search/searchdata.js"></script>
14	<script·type="text/javascript"·src="search/search.js"></script>	14	<script·type="text/javascript"·src="search/search.js"></script>
15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>	15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
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60	</iframe>	60	</iframe>
61	</div>	61	</div>

62	<div·id="nav-path"·class="navpath">	62	<div·id="nav-path"·class="navpath">
63	··<ul>	63	··<ul>
64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_4~~3781~~5~~6c656f28~~2b~~787cb~~9~~04a~~0~~df684d~~.html">~~refi~~ned</a></li><li·class="navelem"><a·class="el"·href="dir_~~cf8c45~~a6df74~~33502566e~~a~~3d2c52~~438a.html">re~~finedp0~~</a></li>··</ul>	64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_defe5f8b98cd926511e97660f8302279.html">whitney</a></li><li·class="navelem"><a·class="el"·href="dir_421d79ad4cafaafb52a5003304930aac.html">edges0.5</a></li>··</ul>
65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
68	··<div·class="headertitle"><div·class="title">~~refinedp0local~~co~~efficie~~nts.hh</div></div>	68	··<div·class="headertitle"><div·class="title">common.hh</div></div>
69	</div><!--header-->	69	</div><!--header-->
70	<div·class="contents">	70	<div·class="contents">
71	<a·href="a00017.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>	71	<a·href="a00017.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>
72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>	72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>
73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>	73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>
74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>	74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH</span></div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_REFINED_P0_LOCALCOEFFICIENTS_HH</span></div>
77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span>·</div>
		76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_WHITNEY_EDGES0_5_COMMON_HH</span></div>


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1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">	1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>	7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8	<title>dune-localfunctions:·refi~~ned~~si~~mpl~~exlocalbasis.hh·Source·File</title>	8	<title>dune-localfunctions:·brezzidouglasmarini2cube2dlocalinterpolation.hh·Source·File</title>
9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>	9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
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12	<link·href="search/search.css"·rel="stylesheet"·type="text/css"/>	12	<link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
13	<script·type="text/javascript"·src="search/searchdata.js"></script>	13	<script·type="text/javascript"·src="search/searchdata.js"></script>
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15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>	15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
59	········name="MSearchResults"·id="MSearchResults">	59	········name="MSearchResults"·id="MSearchResults">
60	</iframe>	60	</iframe>
61	</div>	61	</div>

62	<div·id="nav-path"·class="navpath">	62	<div·id="nav-path"·class="navpath">
63	··<ul>	63	··<ul>
64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_437815~~6c656f282b787cb904a~~0~~df684d~~.html">refi~~ned~~</a></li><li·class="navelem"><a·class="el"·href="dir_~~15eac88~~2~~47e2~~5~~f0f27b13d32b73d619c~~.html">common</a></li>··</ul>	64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_9787051b379ebc86022a67dd30e8520b.html">brezzidouglasmarini</a></li><li·class="navelem"><a·class="el"·href="dir_71616432e16d5865955af515ad5e0744.html">brezzidouglasmarini2cube2d</a></li>··</ul>
65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
68	··<div·class="headertitle"><div·class="title">refi~~ned~~si~~mpl~~exlocalbasis.hh</div></div>	68	··<div·class="headertitle"><div·class="title">brezzidouglasmarini2cube2dlocalinterpolation.hh</div></div>
69	</div><!--header-->	69	</div><!--header-->
70	<div·class="contents">	70	<div·class="contents">
71	<a·href="a00026.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>	71	<a·href="a00026.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>
72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>	72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>
73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>	73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>
74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>	74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_REFINED_SI~~MPL~~EX_LOCALBASIS_HH</span></div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH</span></div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_REFINED_SI~~MPL~~EX_LOCALBASIS_HH</span></div>	76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH</span></div>
77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>	77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>
78	<div·class="line"><a·id="l00012"·name="l00012"></a><span·class="lineno">···12</span><span·class="preprocessor">#include·<~~dune/common/f~~vector~~.hh~~></span></div>	78	<div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·<vector></span></div>


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1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">	1	<!DOCTYPE·html·PUBLIC·"-//W3C//DTD·XHTML·1.0·Transitional//EN"·"https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>	7	<meta·name="viewport"·content="width=device-width,·initial-scale=1"/>
8	<title>dune-localfunctions:·refin~~edp1~~local~~bas~~is.hh·Source·File</title>	8	<title>dune-localfunctions:·brezzidouglasmarini2cube2dlocalcoefficients.hh·Source·File</title>
9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>	9	<link·href="tabs.css"·rel="stylesheet"·type="text/css"/>
10	<script·type="text/javascript"·src="jquery.js"></script>	10	<script·type="text/javascript"·src="jquery.js"></script>
11	<script·type="text/javascript"·src="dynsections.js"></script>	11	<script·type="text/javascript"·src="dynsections.js"></script>
12	<link·href="search/search.css"·rel="stylesheet"·type="text/css"/>	12	<link·href="search/search.css"·rel="stylesheet"·type="text/css"/>
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15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>	15	<link·href="doxygen.css"·rel="stylesheet"·type="text/css"·/>
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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
59	········name="MSearchResults"·id="MSearchResults">	59	········name="MSearchResults"·id="MSearchResults">
60	</iframe>	60	</iframe>
61	</div>	61	</div>

62	<div·id="nav-path"·class="navpath">	62	<div·id="nav-path"·class="navpath">
63	··<ul>	63	··<ul>
64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_437815~~6c656f282b787cb904a~~0~~df684d~~.html">refi~~ned~~</a></li><li·class="navelem"><a·class="el"·href="dir_711~~48d~~4~~55ae2a~~5~~00a300~~a~~a73e3~~d~~d12ad~~.html">refin~~edp1~~</a></li>··</ul>	64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_9787051b379ebc86022a67dd30e8520b.html">brezzidouglasmarini</a></li><li·class="navelem"><a·class="el"·href="dir_71616432e16d5865955af515ad5e0744.html">brezzidouglasmarini2cube2d</a></li>··</ul>
65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
68	··<div·class="headertitle"><div·class="title">refin~~edp1~~local~~bas~~is.hh</div></div>	68	··<div·class="headertitle"><div·class="title">brezzidouglasmarini2cube2dlocalcoefficients.hh</div></div>
69	</div><!--header-->	69	</div><!--header-->
70	<div·class="contents">	70	<div·class="contents">
71	<a·href="a00029.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>	71	<a·href="a00029.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>
72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>	72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>
73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>	73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>
74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>	74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_REFINED_P1_LOCAL~~BAS~~IS_HH</span></div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH</span></div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_REFINED_P1_LOCAL~~BAS~~IS_HH</span></div>	76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALCOEFFICIENTS_HH</span></div>
77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>	77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>
		78	<div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·<cstddef></span></div>


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8	<title>dune-localfunctions:·loca~~lcoeff~~ic~~ients~~.hh·Source·File</title>	8	<title>dune-localfunctions:·brezzidouglasmarini1cube2d.hh·Source·File</title>
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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
59	········name="MSearchResults"·id="MSearchResults">	59	········name="MSearchResults"·id="MSearchResults">
60	</iframe>	60	</iframe>
61	</div>	61	</div>

62	<div·id="nav-path"·class="navpath">	62	<div·id="nav-path"·class="navpath">
63	··<ul>	63	··<ul>
64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_5~~3596~~0~~36ac4~~9~~5f55b7f~~a~~1caaab1fea96~~.html">brezzidouglas~~fortin~~mar~~ini</a></li><l~~i~~·class="~~n~~avelem"><a·class="el"·href="d~~i~~r_67d9ae42291990d542a2d8fc663c58f1.html">cube~~</a></li>··</ul>	64	<li·class="navelem"><a·class="el"·href="dir_5e69be5995c9f5d42bf491ae6f29600e.html">dune</a></li><li·class="navelem"><a·class="el"·href="dir_30041f0f075e04eba93c1e90a93bda5c.html">localfunctions</a></li><li·class="navelem"><a·class="el"·href="dir_9787051b379ebc86022a67dd30e8520b.html">brezzidouglasmarini</a></li>··</ul>
65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
68	··<div·class="headertitle"><div·class="title">loca~~lcoeff~~ic~~ients~~.hh</div></div>	68	··<div·class="headertitle"><div·class="title">brezzidouglasmarini1cube2d.hh</div></div>
69	</div><!--header-->	69	</div><!--header-->
70	<div·class="contents">	70	<div·class="contents">
71	<a·href="a00035.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·~~SPDX~~-~~FileCopyrightTex~~t:·~~Copyr~~ight·(C)·DUNE·P~~roj~~ect~~·co~~ntrib~~utors,·s~~ee·file·~~LICENSE.md·~~in·mo~~dul~~e·~~root~~</span></div>	71	<a·href="a00035.html">Go·to·the·documentation·of·this·file.</a><div·class="fragment"><div·class="line"><a·id="l00001"·name="l00001"></a><span·class="lineno">····1</span><span·class="comment">//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--</span></div>
		72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·vi:·set·et·ts=4·sw=2·sts=2:</span></div>
		73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="comment">//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file·LICENSE.md·in·module·root</span></div>
72	<div·class="line"><a·id="l00002"·name="l00002"></a><span·class="lineno">····2</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>	74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="comment">//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception</span></div>
73	<div·class="line"><a·id="l00003"·name="l00003"></a><span·class="lineno">····3</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLAS~~FORTIN~~MARINI_CUBE_LOCAL~~COEFFICI~~ENTS_HH</span></div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH</span></div>
74	<div·class="line"><a·id="l00004"·name="l00004"></a><span·class="lineno">····4</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLAS~~FORTIN~~MARINI_CUBE_LOCAL~~COEFFICI~~ENTS_HH</span></div>	76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH</span></div>
75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span>·</div>	77	<div·class="line"><a·id="l00007"·name="l00007"></a><span·class="lineno">····7</span>·</div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#include·<cstddef></span></div>

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·brezzidouglasmarini
+brezzidouglasmarini1cube2d.hh
+····*·cube
+localcoefficients.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·3#ifndef
+·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH
+·4#define
+·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE2D_LOCALFINITEELEMENT_HH
+·5
+·6#include·<cstddef>
+·7#include·<vector>
+·8
+·9#include·<dune/common/math.hh>
+·10#include·<dune/common/rangeutilities.hh>
+·11#include·<dune/common/typetraits.hh>
+·12
+·7
+·8#include·<dune/geometry/type.hh>
+·9
+·10#include·"../common/localfiniteelementtraits.hh"
+·11#include·"brezzidouglasmarini1cube2d/
+brezzidouglasmarini1cube2dlocalbasis.hh"
+·12#include·"brezzidouglasmarini1cube2d/
+brezzidouglasmarini1cube2dlocalcoefficients.hh"
+·13#include·"brezzidouglasmarini1cube2d/
+brezzidouglasmarini1cube2dlocalinterpolation.hh"
+·14
+·15namespace·Dune
+·16{
+·25·template<class·D,·class·R>
+·class·BDM1Cube2DLocalFiniteElement
+·27·{
+·28
+·17
+·31·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·class·BDFMCubeLocalCoefficients
+·33·{
+·34·static·constexpr·unsigned·int·interiorDofs·=·dim*binomial(dim+order-2,
+order-2);
+·35·static·constexpr·unsigned·int·faceDofs·=·binomial(dim+order-2,·order-1);
+·36
+·37·static·constexpr·std::size_t·numFaces·=·2*dim;
+·38·static·constexpr·std::size_t·numDofs·=·numFaces*faceDofs·+·interiorDofs;
+·39
+·29·public:
+·BDFMCubeLocalCoefficients·()·:·li(numDofs)
+·43·{
+·44·for·(auto·j·:·range(numFaces))
+·45·for·(auto·i·:·range(faceDofs))
+·46·li[j*faceDofs·+·i]·=·LocalKey(j,·1,·i);
+·47
+·48·for·(auto·i·:·range(interiorDofs))
+·30·typedef·LocalFiniteElementTraits<
+·31·BDM1Cube2DLocalBasis<D,R>,
+·32·BDM1Cube2DLocalCoefficients,
+·BDM1Cube2DLocalInterpolation<BDM1Cube2DLocalBasis<D,R>·>·>·Traits;
+·34
+·BDM1Cube2DLocalFiniteElement·()
+·37·{}
+·38
+·BDM1Cube2DLocalFiniteElement·(int·s)·:
+·45·basis(s),
+·46·interpolation(s)
+·47·{}
+·48
+·const·typename·Traits::LocalBasisType&·localBasis·()·const
+·50·{
+·51
+·std::size_t·size·()·const·{·return·numDofs;·}
+·54
+·51·return·basis;
+·52·}
+·53
+·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
+·55·{
+·56·return·coefficients;
+·57·}
+·58
+·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
+·60·{
+·61·return·interpolation;
+·62·}
+·63
+·unsigned·int·size·()·const
+·66·{
+·67·return·basis.size();
+·68·}
+·69
+·static·constexpr·GeometryType·type·()
+·71·{
+·72·return·GeometryTypes::quadrilateral;
+·58·private:
+·59·std::vector<LocalKey>·li;
+·60·};
+·61
+·62·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·63·constexpr·unsigned·int·BDFMCubeLocalCoefficients<D,·R,·dim,·order>::
+interiorDofs;
+·64
+·65·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·66·constexpr·unsigned·int·BDFMCubeLocalCoefficients<D,·R,·dim,·order>::
+faceDofs;
+·67
+·68·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·69·constexpr·std::size_t·BDFMCubeLocalCoefficients<D,·R,·dim,·order>::
+numFaces;
+·70
+·71·//·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·72·//·constexpr·std::size_t·BDFMCubeLocalCoefficients<D,·R,·dim,·order>::
+numDofs;
+·73·}
+·74
+·75·private:
+·76·BDM1Cube2DLocalBasis<D,R>·basis;


Offset 4, 28 lines modified		Offset 4, 25 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·brezzidouglas~~fortin~~marini	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2simplex2d
8	Classes·\|·Namespaces	9	Classes·\|·Namespaces
9	bdfmcube.hh·File·Reference	10	brezzidouglasmarini2simplex2dlocalinterpolation.hh·File·Reference
		11	#include·<vector>
10	#include·<dune/geometry/type.hh>	12	#include·<dune/geometry/quadraturerules.hh>
11	#include·<dune/localfunctions/common/localfiniteel~~ement~~traits.hh>	13	#include·<dune/localfunctions/common/localinterpolation.hh>
12	#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/localbasis.hh>
13	#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
14	localcoefficients.hh>
15	#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
16	localinterpolation.hh>
17	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
18	·Classes	15	·Classes
19	class· Dune::BDFMCubeLocalFiniteElement<_D,_R,_dim,_order_>
20	~~·····~~·~~Brezzi~~-Dou~~glas-Fortin-~~Mari~~ni·finite·e~~lement~~s·f~~or·~~cubes.·More...~~	16	class· Dune::BDM2Simplex2DLocalInterpolation<_LB_>
		17	······First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.·More...
21		18
22	·Namespaces	19	·Namespaces
23	namespace· Dune	20	namespace· Dune
24		21

25	===============================================================================	22	===============================================================================
26	·····Generated·by [doxygen]·1.9.4	23	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·brezzidouglasmarini
+····*·brezzidouglasmarini2simplex2d
+brezzidouglasmarini2simplex2dlocalinterpolation.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASFORTINMARINI_BDFMCUBE_HH
+·5#ifndef
+DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
+·6#define
+DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
+·7
+·8#include·<vector>
+·9
+·10#include·<dune/geometry/quadraturerules.hh>
+·11#include·<dune/localfunctions/common/localinterpolation.hh>
+·12
+·13namespace·Dune
+·14{
+·11
+·12#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/localbasis.hh>
+·13#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
+localcoefficients.hh>
+·14#include·<dune/localfunctions/brezzidouglasfortinmarini/cube/
+localinterpolation.hh>
+·15
+·24·template<class·LB>
+·class·BDM2Simplex2DLocalInterpolation
+·26·{
+·27
+·16
+namespace·Dune
+·18{
+·19
+·43·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·class·BDFMCubeLocalFiniteElement
+·45·{
+·46·using·LocalBasis·=·BDFMCubeLocalBasis<D,_R,_dim,_order>;
+·47·using·LocalCoefficients·=·BDFMCubeLocalCoefficients<D,_R,_dim,_order>;
+·48·using·LocalInterpolation·=·BDFMCubeLocalInterpolation<D,_R,_dim,_order>;
+·49
+·28·public:
+·using·Traits·=·LocalFiniteElementTraits<LocalBasis,_LocalCoefficients,
+·BDM2Simplex2DLocalInterpolation()
+·31·{
+·32·sign0·=·sign1·=·sign2·=·1.0;
+·33·}
+·34
+·BDM2Simplex2DLocalInterpolation(unsigned·int·s)
+·41·{
+·42·sign0·=·sign1·=·sign2·=·1.0;
+·43·if·(s·&·1)
+·44·{
+·45·sign0·=·-1.0;
+·46·}
+·47·if·(s·&·2)
+·48·{
+·49·sign1·=·-1.0;
+·50·}
+·51·if·(s·&·4)
+·52·{
+·53·sign2·=·-1.0;
+·54·}
+·55
+·BDFMCubeLocalFiniteElement·(std::bitset<2*dim>·s)
+·62·:·basis(·s·),·interpolation(·s·)
+·63·{}
+·64
+·auto·localBasis·()·const·->·const·LocalBasis&·{·return·basis;·}
+·auto·localCoefficients·()·const·->·const·LocalCoefficients&·{·return
+coefficients;·}
+·auto·localInterpolation·()·const·->·const·LocalInterpolation&·{·return
+interpolation;·}
+·68
+·unsigned·int·size·()·const·{·return·basis.size();·}
+·static·constexpr·auto·type·()·->·GeometryType·{·return·GeometryTypes::cube
+·56·m0[0]·=·0.5;
+·57·m0[1]·=·0.0;
+·58·m1[0]·=·0.0;
+·59·m1[1]·=·0.5;
+·60·m2[0]·=·0.5;
+·61·m2[1]·=·0.5;
+·62·n0[0]·=·0.0;
+·63·n0[1]·=·-1.0;
+·64·n1[0]·=·-1.0;
+·65·n1[1]·=·0.0;
+·66·n2[0]·=·1.0/sqrt(2.0);
+·67·n2[1]·=·1.0/sqrt(2.0);
+·68·c0·=·0.5*n0[0]·-·1.0*n0[1];
+·69·c1·=·-1.0*n1[0]·+·0.5*n1[1];
+·70·c2·=·0.5*n2[0]·+·0.5*n2[1];
+·71·}
+·72
+·81·template<typename·F,·typename·C>
+·void·interpolate(const·F&·ff,·std::vector<C>&·out)·const
+·83·{
+·84·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
+·85·typedef·typename·LB::Traits::RangeFieldType·Scalar;
+·86·typedef·typename·LB::Traits::DomainFieldType·Vector;
+·87
+·88·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
+DomainType>(ff);
+·89
+·90·out.resize(12);
+·91·fill(out.begin(),·out.end(),·0.0);
+·92
+·93·const·int·qOrder·=·4;
+·94·const·Dune::QuadratureRule<Scalar,1>&·rule·=·Dune::
+QuadratureRules<Scalar,1>::rule(Dune::GeometryTypes::simplex(1),·qOrder);
+·95
+·96·for·(typename·Dune::QuadratureRule<Scalar,1>::const_iterator·it=rule.begin
+();·it!=rule.end();·++it)
+·97·{
+·98·Scalar·qPos·=·it->position();
+·99
+·100·typename·LB::Traits::DomainType·localPos;
+·101


Offset 4, 250 lines modified		Offset 4, 350 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	crouz~~eixr~~aviart~~.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini2simplex2d
		9	brezzidouglasmarini2simplex2dlocalbasis.hh
8	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
9	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
10	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
11	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
12	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
13	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
14	·5#ifndef·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH
15	·6#define·DUNE_LOCALFUNCTIONS_CROUZEIXRAVIART_HH	16	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH
		17	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALBASIS_HH
16	·7	18	·7
17	·8#include·<array>	19	·8#include·<array>
		20	·9#include·<bitset>
18	·9#include·<numeric>	21	·10#include·<numeric>
19	·10	22	·11#include·<vector>
		23	·12
20	·11#include·<dune/common/fmatrix.hh>	24	·13#include·<dune/common/fmatrix.hh>
		25	·14
		26	·15#include·"../../common/localbasis.hh"
21	·12#include·<dune/common/fvector.hh>
22	·13
23	·14#include·<dune/geometry/type.hh>
24	·15#include·<dune/geometry/referenceelements.hh>
25	·16	27	·16
		28	·17namespace·Dune
		29	·18{
		30	·28·template<class·D,·class·R>
		31	29·class·BDM2Simplex2DLocalBasis
26	·17#include·<dune/localfunctions/common/localbasis.hh>
27	·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
28	·19#include·<dune/localfunctions/common/localinterpolation.hh>
29	·20#include·<dune/localfunctions/common/localkey.hh>
30	·21
31	·22namespace·Dune·{·namespace·Impl
32	·23{
33	·30·template<class·D,·class·R,·unsigned·int·dim>
34	·31·class·CrouzeixRaviartLocalBasis
35	·32·{	32	·30·{
		33	·31
36	·33·public:	34	·32·public:
37	·34·using·Traits·=
38	LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim>
39	>;
40	·35
41	·38·~~static~~·const~~expr·~~un~~sign~~ed~~·in~~t~~·size·()~~	35	·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,
		36	·34·R,2,Dune::FieldVector<R,2>,
		37	35·Dune::FieldMatrix<R,2,2>·>·Traits;
		38	·36
		39	38·BDM2Simplex2DLocalBasis()
42	·39·{	40	·39·{
43	·40·ret~~urn~~·~~dim~~+1;	41	·40·for·(size_t·i=0;·i<3;·i++)
		42	·41·sign_[i]·=·1.0;
44	·41·}	43	·42·}
45	·42	44	·43
		45	49·BDM2Simplex2DLocalBasis(std::bitset<3>·s)
		46	·50·{
		47	·51·for·(size_t·i=0;·i<3;·i++)
		48	·52·sign_[i]·=·s[i]·?·-1.0·:·1.0;
		49	·53·}
		50	·54
		51	56·unsigned·int·size()·const
		52	·57·{
		53	·58·return·12;
		54	·59·}
		55	·60
46	·44·void·evaluateFunction(const·typename·Traits::DomainType&·x,	56	67·inline·void·evaluateFunction(const·typename·Traits::DomainType&·in,
47	·45·std::vector<typename·Traits::RangeType>&·out)·const
48	·46·{
49	·47·out.resize(size());
50	·48
51	·49·std::fill(out.begin(),·out.end()-1,·1.0);
52	·50·out.back()·=·1.0-dim;
53	·51
54	·52·for·(unsigned·int·i=0;·i<dim;·i++)
55	·53·{
56	·54·out[i]·-=·dim·*·x[dim-i-1];
57	·55·out.back()·+=·dim*x[i];
58	·56·}
59	·57·}
60	·58
61	·64·void·evaluateJacobian(const·typename·Traits::DomainType&·x,
62	·65·std::vector<typename·Traits::JacobianType>&·out)·const
63	·66·{
64	·67·out.resize(size());
65	·68
66	·69·for·(unsigned·i=0;·i<dim;·i++)
67	·70·for·(unsigned·j=0;·j<dim;·j++)
68	·71·out[i][0][j]·=·(i==(dim-1-j))·?·-(double)dim·:·0;
69	·72
70	·73·std::fill(out.back()[0].begin(),·out.back()[0].end(),·dim);
71	·74·}
72	·75
73	·82·void·partial(const·std::array<unsigned·int,dim>&·order,
74	·83·const·typename·Traits::DomainType&·in,
75	·84·std::vector<typename·Traits::RangeType>&·out)·const	57	·68·std::vector<typename·Traits::RangeType>&·out)·const
		58	·69·{
76	·85·{
77	·86·auto·totalOrder·=·std::accumulate(order.begin(),·order.end(),·0);
78	·87
79	·88·out.resize(size());	59	·70·out.resize(size());
80	·89
81	·90·if·(totalOrder·==·0)·{
82	·91·evaluateFunction(in,·out);
83	·~~92·retur~~n;	60	·71
		61	·72·out[0][0]·=·sign_[0](-2in[0]in[1]·+·in[0]in[0]);
		62	·73·out[0][1]·=·sign_[0](-1·+·6in[1]·-2in[0]in[1]·-·5in[1]in[1]);
		63	·74
		64	·75·out[1][0]·=·1.5in[0]·+·3in[0]in[1]·-·4.5in[0]*in[0];
		65	·76·out[1][1]·=·-3·+·6in[0]·+·10.5in[1]·-·15in[0]in[1]·-·7.5in[1]in[1];
		66	·77
		67	·78·out[2][0]·=·sign_[0](-7.5in[0]·+·5in[0]in[1]·+·12.5in[0]in[0]);
		68	·79·out[2][1]·=·sign_[0](-5·+·30in[0]·+·7.5in[1]·-·25in[0]in[1]·-·30in
		69	[0]in[0]·-·2.5in[1]*in[1]);
		70	·80
		71	·81
		72	·82
		73	·83·out[3][0]·=·sign_[1](-1·+·6in[0]·-·2in[0]in[1]·-·5in[0]in[0]);
		74	·84·out[3][1]·=·sign_[1](-2in[0]in[1]·+·in[1]in[1]);
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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·ortho~~nor~~mal	7	····*·brezzidouglasmarini
8	Classes·\|·Namespaces~~·\|·Functions~~	8	Classes·\|·Namespaces
		9	brezzidouglasmarini1cube3d.hh·File·Reference
9	orthonormalcompute.hh·File·Reference
10	#include·<cassert>
11	#include·<iostream>
12	#include·<fstream>
13	#include·<iomanip>
14	#include·<utility>
15	#include·<map>
16	#include·<dune/common/fmatrix.hh>
17	#include·<dune/geometry/type.hh>	10	#include·<dune/geometry/type.hh>
18	#include·<dune/localfunctions/utility/field.hh>
19	#include·<dune/localfunctions/utility/lfematrix.hh>
20	#include·<dune/localfunctions/utility/monomialbasis.hh>
21	#include·~~<dune~~/localf~~unct~~ion~~s/ut~~i~~lity/~~mult~~iindex~~.hh>	11	#include·"../common/localfiniteelementtraits.hh"
		12	#include·"brezzidouglasmarini1cube3d/brezzidouglasmarini1cube3dlocalbasis.hh"
		13	#include·"brezzidouglasmarini1cube3d/
		14	brezzidouglasmarini1cube3dlocalcoefficients.hh"
		15	#include·"brezzidouglasmarini1cube3d/
		16	brezzidouglasmarini1cube3dlocalinterpolation.hh"
22	Go_to_the_source_code_of_this_file.	17	Go_to_the_source_code_of_this_file.
23	·Classes	18	·Classes
24	struct· ONBCompute::Integral<_geometryId_>
25
26	·class· ONB~~Comp~~ute:~~:ONBM~~atrix~~<_g~~eomet~~ryId,~~_~~scal~~ar_t_>	19	class· Dune::BDM1Cube3DLocalFiniteElement<_D,_R_>
		20	······First·order·Brezzi-Douglas-Marini·shape·functions·on·hexahedron.
		21	········More...
27		22
28	·Namespaces	23	·Namespaces
		24	namespace· Dune
29	namespace· ONBCompute
30
31	·Functions
32	template<class·scalar_t·>
33	scalar_t ONBCompute::factorial·(int·start,·int·end)
34		25

35	===============================================================================	26	===============================================================================
36	·····Generated·by [doxygen]·1.9.4	27	·····Generated·by [doxygen]·1.9.4


Offset 4, 295 lines modified		Offset 4, 142 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·orthonormal
8	~~orthono~~r~~malc~~o~~mpute.hh~~	7	····*·brezzidouglasmarini
		8	brezzidouglasmarini1cube3d.hh
9	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
11	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
13	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
15	·5#ifndef·DUNE_ORTHONORMALCOMPUTE_HH
16	·6#define·DUNE_ORTHONORMALC~~OMPU~~TE_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_QUBE3D_LOCALFINITEELEMENT_HH
17	·7	17	·7
18	·8#include·<cassert>
19	·9#include·<iostream>
20	·10#include·<fstream>
21	·11#include·<iomanip>
22	·12#include·<utility>
23	·13#include·<map>	18	·8#include·<dune/geometry/type.hh>
		19	·9
		20	·10#include·"../common/localfiniteelementtraits.hh"
		21	·11#include·"brezzidouglasmarini1cube3d/
		22	brezzidouglasmarini1cube3dlocalbasis.hh"
		23	·12#include·"brezzidouglasmarini1cube3d/
		24	brezzidouglasmarini1cube3dlocalcoefficients.hh"
		25	·13#include·"brezzidouglasmarini1cube3d/
		26	brezzidouglasmarini1cube3dlocalinterpolation.hh"
24	·14	27	·14
25	·15#include~~·<dune/~~c~~ommo~~n~~/fmatrix.hh~~>	28	·15namespace·Dune
26	·16	29	·16{
		30	·25·template<class·D,·class·R>
		31	26·class·BDM1Cube3DLocalFiniteElement
27	·17#include·<dune/geometry/type.hh>
28	·18
29	·19#include·<dune/localfunctions/utility/field.hh>
30	·20#include·<dune/localfunctions/utility/lfematrix.hh>
31	·21#include·<dune/localfunctions/utility/monomialbasis.hh>
32	·22#include·<dune/localfunctions/utility/multiindex.hh>
33	·23
34	24namespace·ONBCompute
35	·25{
36	·26
37	·27·template<·class·scalar_t·>
38	28·scalar_t·factorial(·int·start,·int·end·)
39	·29·{	32	·27·{
40	·30·scalar_t·ret(·1·);
41	·31·for(·int·j·=·start;·j·<=·end;·++j·)
42	·32·ret·*=·scalar_t(·j·);
43	·~~33·return·re~~t;	33	·28
		34	·29·public:
		35	·30·typedef·LocalFiniteElementTraits<
		36	·31·BDM1Cube3DLocalBasis<D,R>,
		37	·32·BDM1Cube3DLocalCoefficients,
		38	33·BDM1Cube3DLocalInterpolation<BDM1Cube3DLocalBasis<D,R>·>·>·Traits;
44	·34·}	39	·34
		40	36·BDM1Cube3DLocalFiniteElement()
		41	·37·{}
		42	·38
		43	44·BDM1Cube3DLocalFiniteElement(int·s)
		44	·45·:·basis(s)
		45	·46·,·interpolation(s)
		46	·47·{}
		47	·48
		48	49·const·typename·Traits::LocalBasisType&·localBasis()·const
45	·35
46	·36
47	·37
48	·38·//·Integral
49	·39·//·--------
50	·40
51	·41·template<·Dune::GeometryType::Id·geometryId·>
52	42·struct·Integral
53	·43·{
54	44·static·constexpr·Dune::GeometryType·geometry·=·geometryId;
55	45·static·constexpr·int·dimension·=·geometry.dim();
56	·46
57	·47·template<·int·dim,·class·scalar_t·>
58	48·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha,
59	·49·scalar_t·&p,·scalar_t·&q·)
60	·50·{	49	·50·{
61	·51·return·~~compute(alpha,·p,·q,·std::~~ma~~ke_integer_~~s~~equence<int,d~~i~~men~~s~~ion>{})~~;	50	·51·return·basis;
62	·52·}	51	·52·}
63	·53	52	·53
		53	54·const·typename·Traits::LocalCoefficientsType&·localCoefficients()·const
64	·54·template<·int·dim,·class·scalar_t·,·int·...ints>
65	55·static·int·compute·(·const·Dune::MultiIndex<_dim,_scalar_t_>·&alpha,
66	·56·scalar_t·&p,·scalar_t·&q,·std::integer_sequence<int,ints...>·intS)
67	·57·{	54	·55·{
68	·58·p·=·scalar_t(·1·);
69	·59·~~q·=·s~~c~~alar_t(·1·)~~;	55	·56·return·coefficients;
		56	·57·}
		57	·58
		58	59·const·typename·Traits::LocalInterpolationType&·localInterpolation()·const
70	·60	59	·60·{
71	·61·int·ord·=·0;
72	·62·~~((compu~~teIntegral<int~~s>(a~~lpha~~,p,~~q,o~~rd)),...~~);	60	·61·return·interpolation;
		61	·62·}
73	·63	62	·63
		63	65·unsigned·int·size·()·const
74	·64·return·ord;
75	·65·}
76	·66	64	·66·{
		65	·67·return·basis.size();
77	·67·template<·int·step,·int·dim,·class·scalar_t·>
78	68·static·void·computeIntegral·(·const·Dune::MultiIndex<_dim,_scalar_t_>
79	&alpha,
80	·69·scalar_t·&p,·scalar_t·&q,·int&·ord)
81	·70·{
82	·71·int·i·=·alpha.z(·step·);
83	·72
84	·73·if·constexpr·(·geometry.isPrismatic(step))
85	·74·{
86	·75·//p·*=·scalar_t(·1·);
87	·76·q·*=·scalar_t(·i+1·);
88	·77·}
89	·78·else
90	·79·{
91	·80·p·*=·factorial<·scalar_t·>(·1,·i·);
92	·81·q·*=·factorial<·scalar_t·>(·step+1·+·ord,·step+1·+·ord·+·i·);
93	·82·}
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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·orthonormal
8	~~orthono~~r~~malb~~as~~is.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1simplex2d
		9	brezzidouglasmarini1simplex2dlocalcoefficients.hh
9	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
11	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
13	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
15	·5#ifndef·DUNE_ORTHONORMALBASIS_HH
16	·6#defin~~e·DUNE_ORTHONORMALBASIS_HH~~	16	·5#ifndef
		17	DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
		18	·6#define
		19	DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
17	·7	20	·7
18	·8#include·<sst~~ream~~>	21	·8#include·<cstddef>
19	·9
20	·10#include·<dune/localfunctions/utility/polynomialbasis.hh>
21	·11#include·<dune~~/localfun~~c~~tions/orthonormal/or~~t~~hon~~or~~malcompute.hh~~>	22	·9#include·<vector>
		23	·10
		24	·11#include·"../../common/localkey.hh"
22	·12	25	·12
23	·13namespace·Dune	26	·13namespace·Dune
24	·14{	27	·14{
25	·15	28	·15
		29	23·class·BDM1Simplex2DLocalCoefficients
26	·16·//·OrthonormalBasisFactory
27	·17·//·-----------------------
28	·18·template<·int·dim,·class·SF,·class·CF·=·typename·ComputeField<·SF,·512·>::
29	Type·>
30	19·struct·OrthonormalBasisFactory
31	·20·{	30	·24·{
		31	·25
		32	·26·public:
		33	28·BDM1Simplex2DLocalCoefficients·()·:·li(6)
32	21·static·const·unsigned·int·dimension·=·dim;
33	22·typedef·SF·StorageField;
34	23·typedef·CF·ComputeField;
35	·24
36	·25·template·<unsigned·int·dd,·class·FF>
37	26·struct·EvaluationBasisFactory
38	·27·{	34	·29·{
		35	·30·for·(std::size_t·i=0;·i<3;·i++)
		36	·31·{
		37	·32·li[i]·=·LocalKey(i,1,0);
		38	·33·li[3·+·i]·=·LocalKey(i,1,1);
		39	·34·}
		40	·35·}
		41	·36
		42	38·std::size_t·size·()·const
		43	·39·{
		44	·40·return·6;
		45	·41·}
39	28·typedef·MonomialBasisProvider<dd,FF>·Type;
40	·29·};
41	·30
42	31·typedef·typename·EvaluationBasisFactory<_dimension,_StorageField_>::Type
43	MonomialBasisProviderType;
44	32·typedef·typename·MonomialBasisProviderType::Object·MonomialBasisType;
45	·33
46	34·typedef·SparseCoeffMatrix<_StorageField,_1_>·CoefficientMatrix;
47	35·typedef·StandardEvaluator<_MonomialBasisType_>·Evaluator;
48	36·typedef·PolynomialBasis<_Evaluator,_CoefficientMatrix_>·Basis;
49	·37
50	38·typedef·unsigned·int·Key;
51	39·typedef·const·Basis·Object;
52	·40
53	41·static·constexpr·GeometryType·SimplexGeometry·=·GeometryTypes::simplex(dim);
54	·42	46	·42
		47	44·const·LocalKey&·localKey·(std::size_t·i)·const
55	·43·template<·GeometryType::Id·geometryId·>
56	44·static·Object·*create·(·const·unsigned·int·order·)
57	·45·{	48	·45·{
		49	·46·return·li[i];
58	·46·const·MonomialBasisType·&monomialBasis·=·*MonomialBasisProviderType::
59	template·create<·SimplexGeometry·>(·order·);
60	·47	50	·47·}
		51	·48
		52	·49·private:
		53	·50·std::vector<LocalKey>·li;
61	·48·static·CoefficientMatrix·_coeffs;
62	·49·if(·_coeffs.size()·<=·monomialBasis.size()·)
63	·50·{
64	·51·ONBCompute::ONBMatrix<_geometryId,_ComputeField_>·matrix(·order·);
65	·52·_coeffs.fill(·matrix·);
66	·53·}
67	·54
68	·55·return·new·Basis(·monomialBasis,·_coeffs,·monomialBasis.size()·);
69	·56·}
70	57·static·void·release(·Object·*object·)·{·delete·object;·}
71	·58·};	54	·51·};
		55	·52}
		56	·53#endif·/
		57	/·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALCOEFFICIENTS_HH
72	·59
73	·60}
74	·61
75	·62#endif·//·#ifndef·DUNE_ORTHONORMALBASIS_HH
76	orthonormalcompute.hh
77	polynomialbasis.hh
78	Dune	58	Dune
79	Definition:·bdfmcube.hh:18	59	Definition:·bdfmcube.hh:18
		60	Dune::BDM1Simplex2DLocalCoefficients
		61	Layout·map·for·Brezzi-Douglas-Marini-1·elements·on·triangles.
		62	Definition:·brezzidouglasmarini1simplex2dlocalcoefficients.hh:24
		63	Dune::BDM1Simplex2DLocalCoefficients::BDM1Simplex2DLocalCoefficients
		64	BDM1Simplex2DLocalCoefficients()
		65	Standard·constructor.
		66	Definition:·brezzidouglasmarini1simplex2dlocalcoefficients.hh:28
		67	Dune::BDM1Simplex2DLocalCoefficients::localKey
		68	const·LocalKey·&·localKey(std::size_t·i)·const
		69	get·i'th·index
		70	Definition:·brezzidouglasmarini1simplex2dlocalcoefficients.hh:44
		71	Dune::BDM1Simplex2DLocalCoefficients::size
		72	std::size_t·size()·const
		73	number·of·coefficients
		74	Definition:·brezzidouglasmarini1simplex2dlocalcoefficients.hh:38
		75	Dune::LocalKey
		76	Describe·position·of·one·degree·of·freedom.
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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1simplex2d
7	Classes·\|·Namespaces	9	Classes·\|·Namespaces
8	monomial.hh·File·Reference	10	brezzidouglasmarini1simplex2dlocalbasis.hh·File·Reference
		11	#include·<array>
9	#include·<~~cas~~sert>	12	#include·<bitset>
10	#include·<cstddef>
11	#include·<cstdlib>
12	#include·<memory>	13	#include·<numeric>
13	#include·<vector>	14	#include·<vector>
		15	#include·<dune/common/fmatrix.hh>
		16	#include·"../../common/localbasis.hh"
14	#include·<dune/geometry/type.hh>
15	#include·"common/localfiniteelementtraits.hh"
16	#include·"common/localtoglobaladaptors.hh"
17	#include·"monomial/monomiallocalbasis.hh"
18	#include·"monomial/monomiallocalcoefficients.hh"
19	#include·"monomial/monomiallocalinterpolation.hh"
20	Go_to_the_source_code_of_this_file.	17	Go_to_the_source_code_of_this_file.
21	·Classes	18	·Classes
		19	class· Dune::BDM1Simplex2DLocalBasis<_D,_R_>
		20	······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
		21	········triangle.·More...
22	class· Dune::MonomialLocalFiniteElement<_D,_R,_d,_p_>
23	······Monomial·basis·for·discontinuous·Galerkin·methods.·More...
24
25	class· Dune::MonomialFiniteElementFactory<_Geometry,_RF,_p_>
26	······Factory·for·global-valued·MonomFiniteElement·objects.·More...
27		22
28	·Namespaces	23	·Namespaces
29	namespace· Dune	24	namespace· Dune
30		25

31	===============================================================================	26	===============================================================================
32	·····Generated·by [doxygen]·1.9.4	27	·····Generated·by [doxygen]·1.9.4


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	mo~~nomi~~a~~l.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1simplex2d
		9	brezzidouglasmarini1simplex2dlocalbasis.hh
8	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
9	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
10	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
11	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
12	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
13	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
14	·5
15	·6#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
16	·7#define·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
17	·8	16	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH
		17	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALBASIS_HH
		18	·7
		19	·8#include·<array>
18	·9#include·<~~cas~~sert>	20	·9#include·<bitset>
19	·10#include·<cstddef>
20	·11#include·<cstdlib>
21	·12#include·<memory>	21	·10#include·<numeric>
22	·13#include·<vector>	22	·11#include·<vector>
		23	·12
		24	·13#include·<dune/common/fmatrix.hh>
23	·14	25	·14
24	·15#include·~~<dune~~/geo~~metry/type~~.hh>	26	·15#include·"../../common/localbasis.hh"
25	·16	27	·16
26	·17#include·"common/localfiniteelementtraits.hh"
27	·18#include·"common/localtoglobaladaptors.hh"
28	·19#include·"monomial/monomiallocalbasis.hh"
29	·20#include·"monomial/monomiallocalcoefficients.hh"
30	·21#include·"monomial/monomiallocalinterpolation.hh"
31	·22
32	·23namespace·Dune	28	·17namespace·Dune
		29	·18{
33	·24{
34	·25
35	·26
36	·39·template<class·D,·class·R~~,·int·d,·int·p~~>	30	·28·template<class·D,·class·R>
		31	29·class·BDM1Simplex2DLocalBasis
		32	·30·{
		33	·31
37	40·class·MonomialLocalFiniteElement
38	·41·{
39	·42·constexpr·static·int·static_size·=·MonomialLocalBasis<D,R,d,p>::size();
40	·43
41	·44·public:	34	·32·public:
42	·47·typedef·LocalFiniteElementTraits<
43	·48·MonomialLocalBasis<D,R,d,p>,
44	·49·MonomialLocalCoefficients<static_size>,
45	·50·MonomialLocalInterpolation<MonomialLocalBasis<D,R,d,p>,static_size>
46	51·>·Traits;	35	·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
		36	FieldVector<R,2>,
		37	34·Dune::FieldMatrix<R,2,2>·>·Traits;
		38	·35
		39	37·BDM1Simplex2DLocalBasis·()
		40	·38·{
		41	·39·for·(size_t·i=0;·i<3;·i++)
		42	·40·sign_[i]·=·1.0;
		43	·41·}
		44	·42
		45	48·BDM1Simplex2DLocalBasis·(std::bitset<3>·s)
		46	·49·{
		47	·50·for·(size_t·i=0;·i<3;·i++)
		48	·51·sign_[i]·=·s[i]·?·-1.0·:·1.0;
47	·52	49	·52·}
48	54·MonomialLocalFiniteElement·(const·GeometryType·&gt_)
49	·5~~5·:·basis(),·interpolation(gt_,·basis),·gt(gt_~~)	50	·53
		51	55·unsigned·int·size·()·const
50	·56·{}	52	·56·{
		53	·57·return·6;
		54	·58·}
		55	·59
		56	66·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
		57	·67·std::vector<typename·Traits::RangeType>&·out)·const
51	·57
52	60·const·typename·Traits::LocalBasisType&·localBasis·()·const
53	·61·{
54	·62·return·basis;
55	·63·}
56	·64
57	67·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
58	·68·{	58	·68·{
59	·69·retur~~n·co~~efficie~~nts~~;	59	·69·out.resize(6);
60	·70·}	60	·70
61	·71
62	74·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
63	·75·{
64	·76·return·interpolation;
65	·77·}
66	·78
67	80·unsigned·int·size·()·const
68	·81·{
69	·82·ret~~urn~~·basi~~s.s~~i~~ze()~~;	61	·71·out[0][0]·=·sign_[0]*in[0];
		62	·72·out[0][1]·=·sign_[0]*(in[1]·-·1.0);
		63	·73·out[1][0]·=·sign_[1]*(in[0]·-·1.0);
		64	·74·out[1][1]·=·sign_[1]*in[1];
		65	·75·out[2][0]·=·sign_[2]*in[0];
		66	·76·out[2][1]·=·sign_[2]*in[1];
		67	·77·out[3][0]·=·3.0*in[0];
		68	·78·out[3][1]·=·3.0·-·6.0in[0]·-·3.0in[1];
		69	·79·out[4][0]·=·-3.0·+·3.0in[0]·+·6.0in[1];
		70	·80·out[4][1]·=·-3.0*in[1];
		71	·81·out[5][0]·=·-3.0*in[0];
		72	·82·out[5][1]·=·3.0*in[1];
70	·83·}	73	·83·}
71	·84	74	·84
		75	91·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
		76	·92·std::vector<typename·Traits::JacobianType>&·out)·const
		77	·93·{
		78	·94·out.resize(6);
		79	·95
		80	·96·out[0][0][0]·=·sign_[0];
		81	·97·out[0][0][1]·=·0.0;
		82	·98·out[0][1][0]·=·0.0;
		83	·99·out[0][1][1]·=·sign_[0];
72	87·GeometryType·type·()·const
73	·88·{
74	·89·return·gt;
75	·90·}
76	·91
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1	u~~tf-8~~	1	us-ascii


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·nedelec	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1simplex2d
8	Classes·\|·Namespaces	9	Classes·\|·Namespaces
		10	brezzidouglasmarini1simplex2dlocalinterpolation.hh·File·Reference
		11	#include·<vector>
9	nedelec1stkindcube.hh·File·Reference
10	#include·<numeric>
11	#include·<dune/common/fmatrix.hh>
12	#include·<dune/common/fvector.hh>
13	#include·<dune/common/math.hh>
14	#include·<dune/geometry/referenceelements.hh>
15	#include·<dune/geometry/type.hh>	12	#include·<dune/geometry/quadraturerules.hh>
16	#include·<dune/localfunctions/common/localbasis.hh>
17	#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
18	#include·<dune/localfunctions/common/localinterpolation.hh>	13	#include·<dune/localfunctions/common/localinterpolation.hh>
19	#include·<dune/localfunctions/common/localkey.hh>
20	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
21	·Classes	15	·Classes
22	class· Dune::Nedelec1stKindCubeLocalFiniteElement<_D,_R,_dim,_k_>
23	~~·····~~·~~Nédélec·el~~e~~ments·of·th~~e~~·first·ki~~nd·for~~·cube~~·el~~eme~~nts~~.·More...~~	16	class· Dune::BDM1Simplex2DLocalInterpolation<_LB_>
		17	······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
		18	········triangle.·More...
24		19
25	·Namespaces	20	·Namespaces
26	namespace· Dune	21	namespace· Dune
27		22

28	===============================================================================	23	===============================================================================
29	·····Generated·by [doxygen]·1.9.4	24	·····Generated·by [doxygen]·1.9.4


Offset 4, 547 lines modified		Offset 4, 138 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·nedelec
8	~~nedelec1stk~~indcu~~be.hh~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1simplex2d
		9	brezzidouglasmarini1simplex2dlocalinterpolation.hh
9	Go_to_the_documentation_of_this_file.	10	Go_to_the_documentation_of_this_file.
10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	11	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
11	·2//·vi:·set·et·ts=4·sw=2·sts=2:	12	·2//·vi:·set·et·ts=4·sw=2·sts=2:
12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
13	LICENSE.md·in·module·root	14	LICENSE.md·in·module·root
14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	15	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
15	·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH
16	·6#defin~~e·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDCUBE_HH~~	16	·5#ifndef
		17	DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
		18	·6#define
		19	DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
17	·7	20	·7
18	·8#include·<n~~umeric~~>	21	·8#include·<vector>
19	·9	22	·9
20	·10#include·<dune/common/fmatrix.hh>
21	·11#include·<dune/common/fvector.hh>
22	·12#include·<dune/common/math.hh>
23	·13
24	·14#include·<dune/geometry/referenceelements.hh>
25	·15#include·<dune/geometry/type.hh>	23	·10#include·<dune/geometry/quadraturerules.hh>
26	·16
27	·17#include·<dune/localfunctions/common/localbasis.hh>
28	·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
29	·19#include·<dune/localfunctions/common/localinterpolation.hh>~~·//·For~~	24	·11#include·<dune/localfunctions/common/localinterpolation.hh>
		25	·12
30	deprecated·makeFunctionWithCallOperator
31	·20#include·<dune/localfunctions/common/localkey.hh>
32	·21
33	·22namespace·Dune	26	·13namespace·Dune
34	·23{
35	·24~~namespace·Imp~~l	27	·14{
		28	·23·template<class·LB>
		29	24·class·BDM1Simplex2DLocalInterpolation
36	·25{	30	·25·{
		31	·26
37	·36·template<class·D,·class·R,·int·dim,·int·k>
38	·37·class·Nedelec1stKindCubeLocalBasis
39	·38·{
40	·39·//·Number·of·edges·of·the·reference·cube
41	·40·constexpr·static·std::size_t·numberOfEdges·=·power(2,dim-1)*dim;
42	·41
43	·42·public:	32	·27·public:
44	·43·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>,
45	·44·R,dim,FieldVector<R,dim>,
46	·45·FieldMatrix<R,dim,dim>·>;
47	·46
48	·~~53·Nede~~le~~c1stKindCub~~eLocal~~Basis~~()	33	29·BDM1Simplex2DLocalInterpolation·()
		34	·30·{
		35	·31·sign0·=·sign1·=·sign2·=·1.0;
		36	·32·}
		37	·33
		38	39·BDM1Simplex2DLocalInterpolation·(unsigned·int·s)
49	·54·{	39	·40·{
50	·55·~~std::fill(edgeOrient~~ation~~_.be~~g~~in(),~~·~~edgeOrient~~at~~ion_.en~~d()~~,·1.0)~~;	40	·41·using·std::sqrt;
		41	·42·sign0·=·sign1·=·sign2·=·1.0;
		42	·43·if·(s·&·1)
		43	·44·{
		44	·45·sign0·=·-1.0;
51	·56·}	45	·46·}
52	·57
53	·60·Nedelec1stKindCubeLocalBasis(std::bitset<numberOfEdges>·edgeOrientation)
54	·61·:·~~Nedelec1stK~~i~~ndCubeLocalBasis(~~)	46	·47·if·(s·&·2)
		47	·48·{
		48	·49·sign1·=·-1.0;
		49	·50·}
		50	·51·if·(s·&·4)
55	·62·{	51	·52·{
56	·63·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++)
57	·64·~~edgeOrientation_~~[i~~]·*=·ed~~g~~eOrientatio~~n[i]·?·-~~1.0·:·~~1.0;	52	·53·sign2·=·-1.0;
		53	·54·}
		54	·55
		55	·56·n0[0]·=·0.0;
		56	·57·n0[1]·=·-1.0;
		57	·58·n1[0]·=·-1.0;
		58	·59·n1[1]·=·0.0;
		59	·60·n2[0]·=·1.0/sqrt(2.0);
		60	·61·n2[1]·=·1.0/sqrt(2.0);
		61	·62·c0·=·0.5n0[0]·-·1.0n0[1];
		62	·63·c1·=·-1.0n1[0]·+·0.5n1[1];
		63	·64·c2·=·0.5n2[0]·+·0.5n2[1];
58	·65·}	64	·65·}
59	·66	65	·66
60	·68·static·constexpr·unsigned·int·size()
61	·69·{
62	·70·static_assert(dim==2·\|\|·dim==3,·"Nedelec·shape·functions·are·implemented
63	only·for·2d·and·3d·cubes.");
64	·71·if·(dim==2)
65	·72·return·2k··(k+1);
66	·73·if·(dim==3)
67	·74·return·3k··(k+1)·*·(k+1);
68	·75·}
69	·76
70	·82·void·evaluateFunction(const·typename·Traits::DomainType&·in,
71	·83·std::vector<typename·Traits::RangeType>&·out)·const
72	·84·{
73	·85·static_assert(k==1,·"Evaluating·Nédélec·shape·functions·is·implemented·only
74	for·first·order.");
75	·86·out.resize(size());
76	·87
77	·88·if·(dim==2)
78	·89·{
79	·90·//·First-order·Nédélec·shape·functions·on·a·square·are·of·the·form
80	·91·//
81	·92·//·(a,·b)^T·+·(c·y,·d·x)^T,·a,·b,·c,·d·\in·R
82	·93·//
83	·94·//·The·following·coefficients·create·the·four·basis·vectors
84	·95·//·that·are·dual·to·the·edge·degrees·of·freedom:
85	·96·//
86	·97·//·a[0]·=·0·b[0]·=·1·c[0]·=·0·d[0]·=·-1
87	·98·//·a[1]·=·0·b[1]·=·0·c[1]·=·0·d[1]·=·1
88	·99·//·a[2]·=·1·b[2]·=·0·c[2]·=·0·d[2]·=·-1
89	·100·//·a[3]·=·0·b[3]·=·0·c[3]·=·0·d[3]·=·1
90	·101
91	·102·out[0]·=·{·0,·D(1)·-·in[0]};
92	·103·out[1]·=·{·0,·in[0]};
93	·104·out[2]·=·{·D(1)·-·in[1],·0};
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+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·brezzidouglasmarini
+brezzidouglasmarini1simplex2d.hh
+····*·nedelec
+····*·nedelecsimplex
+nedelecsimplexbasis.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
+·6
+·7#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
+·8
+·9#include·<fstream>
+·10#include·<dune/common/exceptions.hh>
+·11
+·12#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
+·13#include·"nedelecsimplexinterpolation.hh"
+·14#include·"nedelecsimplexprebasis.hh"
+·5#ifndef
+DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH
+·6#define
+DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALFINITEELEMENT_HH
+·7
+·8#include·<dune/geometry/type.hh>
+·9
+·10#include·"../common/localfiniteelementtraits.hh"
+·11#include·"brezzidouglasmarini1simplex2d/
+brezzidouglasmarini1simplex2dlocalbasis.hh"
+·12#include·"brezzidouglasmarini1simplex2d/
+brezzidouglasmarini1simplex2dlocalcoefficients.hh"
+·13#include·"brezzidouglasmarini1simplex2d/
+brezzidouglasmarini1simplex2dlocalinterpolation.hh"
+·14
+·15namespace·Dune
+·16{
+·17
+·26·template<class·D,·class·R>
+·class·BDM1Simplex2DLocalFiniteElement
+·18·/*
+·19·*·`NedelecPreBasisFactory`·provides·a·basis·for·the·Nedelec·function·space.
+·20·*·`NedelecL2InterpolationFactory`·provides·the·linear·functionals.
+·21·*
+·22·*·`Defaultbasisfactory::create`·first·builds·the·function·space·and·the
+linear·functionals.
+·23·*·Then·the·constructor·of·`BasisMatrix`·gets·called.·There·the·matrix
+·24·*
+·25·*·\begin{equation}
+·26·*·A_{i,j}·:=·N_j(\phi_i)
+·27·*·\end{equation}
+·28·{
+·29
+·30·public:
+·31·typedef·LocalFiniteElementTraits<
+·32·BDM1Simplex2DLocalBasis<D,R>,
+·33·BDM1Simplex2DLocalCoefficients,
+·BDM1Simplex2DLocalInterpolation<BDM1Simplex2DLocalBasis<D,R>·>·>·Traits;
+·29·*·with·linear·functionals·$N_j$·and·basisfunctions·$\phi_i$·gets·assembled.
+·30·*·Then·the·matrix·gets·inverted·and·is·then·used·as·a·coefficent·matrix·for
+the·standard·monomial·basis.
+·31·*
+·32·*·For·more·details·on·the·theory·see·the·first·chapter·"Construction·of
+Local·Finite·Element·Spaces·Using·the·Generic·Reference·Elements"
+·33·*·of·the·book·"Advances·in·Dune"·by·Dedner,·Flemisch·and·Klöfkorn·published
+in·2012.
+·34·*/
+·35
+·36·template<·unsigned·int·dim,·class·SF,·class·CF·>
+·struct·NedelecBasisFactory
+·38·:·public·DefaultBasisFactory<·NedelecPreBasisFactory<dim,CF>,
+·39·NedelecL2InterpolationFactory<dim,CF>,
+·BDM1Simplex2DLocalFiniteElement·()
+·38·{}
+·39
+·BDM1Simplex2DLocalFiniteElement·(int·s)·:
+·46·basis(s),
+·47·interpolation(s)
+·48·{}
+·42}
+·43
+·44#endif·//·#ifndef
+DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
+nedelecsimplexprebasis.hh
+nedelecsimplexinterpolation.hh
+·49
+·const·typename·Traits::LocalBasisType&·localBasis·()·const
+·51·{
+·52·return·basis;
+·53·}
+·54
+·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
+·56·{
+·57·return·coefficients;
+·58·}
+·59
+·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
+·61·{
+·62·return·interpolation;
+·63·}
+·64
+·unsigned·int·size·()·const
+·67·{
+·68·return·basis.size();
+·69·}
+·70
+·static·constexpr·GeometryType·type·()
+·72·{
+·73·return·GeometryTypes::triangle;
+·74·}
+·75
+·76·private:
+·77·BDM1Simplex2DLocalBasis<D,R>·basis;
+·78·BDM1Simplex2DLocalCoefficients·coefficients;
+·79·BDM1Simplex2DLocalInterpolation<BDM1Simplex2DLocalBasis<D,R>·>
+interpolation;
+·80·};
+·81}
+·82#endif·/


Offset 4, 30 lines modified		Offset 4, 36 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·brezzidouglasmarini
7	····*·nedelec
8	····*·nedelecsimplex
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces
10	nedelecsimplexprebasis.hh·File·Reference
11	#include·<fstream>
12	#include·<utility>
13	#include·<dune/geometry/type.hh>
14	~~#inclu~~d~~e·<~~dune/localf~~unct~~ions/ut~~ility/po~~l~~ynomialbasis.hh>~~	9	brezzidouglasmarinicube.hh·File·Reference
		10	#include·<dune/localfunctions/brezzidouglasmarini/
		11	brezzidouglasmarini1cube2d.hh>
		12	#include·<dune/localfunctions/brezzidouglasmarini/
		13	brezzidouglasmarini1cube3d.hh>
		14	#include·<dune/localfunctions/brezzidouglasmarini/
		15	brezzidouglasmarini2cube2d.hh>
15	Go_to_the_source_code_of_this_file.	16	Go_to_the_source_code_of_this_file.
16	·Classes	17	·Classes
17	s~~truct~~· Dune::Nedel~~ecP~~reBasi~~sFactory~~<_~~dim~~,_F~~ield~~_>	18	class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_1_>
		19	······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2
		20	········and·order·1.·More...
18		21
19	struct· Dune::NedelecPreBasisFactory<_dim,_Field_>::EvaluationBasisFactory<
20	·~~········dd~~,_FF_>	22	class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_2,_2_>
		23	······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·2
		24	········and·order·2.·More...
21		25
22	s~~truct~~· Dune::Ne~~delecVec~~Matri~~x<_g~~eome~~tryId~~,_~~Field~~_>	26	class· Dune::BrezziDouglasMariniCubeLocalFiniteElement<_D,_R,_3,_1_>
		27	······Brezzi-Douglas-Marini·local·finite·elements·for·cubes·with·dimension·3
		28	········and·order·1.·More...
23		29
24	·Namespaces	30	·Namespaces
25	namespace· Dune	31	namespace· Dune
26		32

27	===============================================================================	33	===============================================================================
28	·····Generated·by [doxygen]·1.9.4	34	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·brezzidouglasmarini
+brezzidouglasmarinicube.hh
+····*·nedelec
+····*·nedelecsimplex
+nedelecsimplexprebasis.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH
+·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH
+·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINICUBE_HH
+·7
+·8#include·<fstream>
+·9#include·<utility>
+·10
+·8#include·<dune/localfunctions/brezzidouglasmarini/
+brezzidouglasmarini1cube2d.hh>
+·9#include·<dune/localfunctions/brezzidouglasmarini/
+brezzidouglasmarini1cube3d.hh>
+·10#include·<dune/localfunctions/brezzidouglasmarini/
+brezzidouglasmarini2cube2d.hh>
+·11
+·12
+·13#include·<dune/localfunctions/utility/polynomialbasis.hh>
+·14
+·13namespace·Dune
+·14{
+·17·template·<·GeometryType::Id·geometryId,·class·Field·>
+·18·struct·NedelecVecMatrix;
+·19
+·20·template·<unsigned·int·dim,·class·Field>
+·23·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
+·class·BrezziDouglasMariniCubeLocalFiniteElement;
+·25
+·29·template<class·D,·class·R>
+·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·1>
+·31·:·public·BDM1Cube2DLocalFiniteElement<D,·R>
+·32·{
+·33·public:
+·BrezziDouglasMariniCubeLocalFiniteElement()
+·36·{}
+·37
+·BrezziDouglasMariniCubeLocalFiniteElement(int·s)
+·44·:·BDM1Cube2DLocalFiniteElement<D,·R>::BDM1Cube2DLocalFiniteElement(s)
+·45·{}
+·46·};
+·47
+·51·template<class·D,·class·R>
+·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·2,·2>
+·53·:·public·BDM2Cube2DLocalFiniteElement<D,·R>
+·54·{
+·55·public:
+·BrezziDouglasMariniCubeLocalFiniteElement()
+·58·{}
+·59
+·BrezziDouglasMariniCubeLocalFiniteElement(int·s)
+·66·:·BDM2Cube2DLocalFiniteElement<D,·R>::BDM2Cube2DLocalFiniteElement(s)
+·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory;
+·typedef·typename·MBasisFactory::Object·MBasis;
+·typedef·StandardEvaluator<MBasis>·EvalMBasis;
+·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·>
+Basis;
+·27
+·typedef·const·Basis·Object;
+·typedef·std::size_t·Key;
+·30
+·31·template·<unsigned·int·dd,·class·FF>
+·struct·EvaluationBasisFactory
+·33·{
+·typedef·MonomialBasisProvider<dd,FF>·Type;
+·35·};
+·36
+·37·template<·GeometryType::Id·geometryId·>
+·static·Object·*create·(·Key·order·)
+·39·{
+·40·/*
+·41·*·The·nedelec·parameter·begins·at·1.
+·42·*·This·is·the·numbering·used·by·J.C.·Nedelec·himself.
+·43·*·See·"Mixed·Finite·Elements·in·\R^3"·published·in·1980.
+·44·*
+·45·*·This·construction·is·based·on·the·construction·of·Raviart-Thomas
+elements.
+·46·*·There·the·numbering·starts·at·0.
+·47·*·Because·of·this·we·reduce·the·order·internally·by·1.
+·48·*/
+·49·order--;
+·50·NedelecVecMatrix<geometryId,Field>·vecMatrix(order);
+·51·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1);
+·52·std::remove_const_t<Object>*·tmBasis·=·new·std::remove_const_t<Object>
+(*mbasis);
+·53·tmBasis->fill(vecMatrix);
+·54·return·tmBasis;
+·55·}
+·static·void·release(·Object·*object·)·{·delete·object;·}
+·57·};
+·58
+·59·template·<GeometryType::Id·geometryId,·class·Field>
+·struct·NedelecVecMatrix
+·61·{
+·static·constexpr·GeometryType·geometry·=·geometryId;
+·static·const·unsigned·int·dim·=·geometry.dim();
+·typedef·MultiIndex<dim,Field>·MI;
+·typedef·MonomialBasis<geometryId,MI>·MIBasis;
+·NedelecVecMatrix(std::size_t·order)
+·67·{}
+·68·};
+·69
+·73·template<class·D,·class·R>
+·class·BrezziDouglasMariniCubeLocalFiniteElement<D,·R,·3,·1>
+·75·:·public·BDM1Cube3DLocalFiniteElement<D,·R>
+·76·{
+·77·public:
+·BrezziDouglasMariniCubeLocalFiniteElement()
+·68·/*
+·69·*·Construction·of·Nedelec·elements·see·"Mixed·Finite·Elements·in·\R^3"·by
+Nedelec,·1980.
+·70·*


Offset 4, 41 lines modified		Offset 4, 26 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·nedelec
8	····*·ned~~elec~~s~~implex~~	7	····*·brezzidouglasmarini
		8	····*·brezzidouglasmarini1cube2d
9	Classes·\|·Namespaces	9	Classes·\|·Namespaces
		10	brezzidouglasmarini1cube2dlocalinterpolation.hh·File·Reference
		11	#include·<vector>
10	nedelecsimplexinterpolation.hh·File·Reference
11	#include·<fstream>
12	#include·<utility>
13	#include·<numeric>
14	#include·<dune/common/exceptions.hh>
15	#include·<dune/geometry/quadraturerules.hh>	12	#include·<dune/geometry/quadraturerules.hh>
16	#include·<dune/geometry/referenceelements.hh>
17	#include·<dune/geometry/type.hh>
18	#include·<dune/localfunctions/common/localkey.hh>	13	#include·<dune/localfunctions/common/localinterpolation.hh>
19	#include·<dune/localfunctions/utility/interpolationhelper.hh>
20	#include·<dune/localfunctions/utility/polynomialbasis.hh>
21	#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
22	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
23	·Classes	15	·Classes
		16	class· Dune::BDM1Cube2DLocalInterpolation<_LB_>
		17	······First·order·Brezzi-Douglas-Marini·shape·functions·on·the·reference
		18	········quadrilateral.·More...
24	·class· Dune::LocalCoefficientsContainer
25
26	struct· Dune::NedelecCoefficientsFactory<_dim_>
27
28	struct· Dune::NedelecL2InterpolationBuilder<_dim,_Field_>
29
30	·class· Dune::NedelecL2Interpolation<_dimension,_F_>
31	·······An·L2-based·interpolation·for·Nedelec.·More...
32
33	struct· Dune::NedelecL2InterpolationFactory<_dim,_Field_>
34		19
35	·Namespaces	20	·Namespaces
36	namespace· Dune	21	namespace· Dune
37		22

38	===============================================================================	23	===============================================================================
39	·····Generated·by [doxygen]·1.9.4	24	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·nedelec
+····*·brezzidouglasmarini
+····*·brezzidouglasmarini1cube2d
+brezzidouglasmarini1cube2dlocalbasis.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH
+·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH
+·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALBASIS_HH
+·7
+·8#include·<array>
+·9#include·<bitset>
+·10#include·<numeric>
+·11#include·<vector>
+·9
+·10#include·<dune/common/fmatrix.hh>
+·11#include·<dune/common/fvector.hh>
+·12
+·13#include·<dune/common/fmatrix.hh>
+·14
+·15#include·"../../common/localbasis.hh"
+·16
+·13#include·<dune/geometry/referenceelements.hh>
+·14#include·<dune/geometry/type.hh>
+·15
+·16#include·<dune/localfunctions/common/localbasis.hh>
+·17#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
+·18#include·<dune/localfunctions/common/localinterpolation.hh>·//·For
+deprecated·makeFunctionWithCallOperator
+·19#include·<dune/localfunctions/common/localkey.hh>
+·20
+·17namespace·Dune
+·18{
+·28·template<class·D,·class·R>
+·class·BDM1Cube2DLocalBasis
+·22{
+·23namespace·Impl
+·24{
+·35·template<class·D,·class·R,·int·dim,·int·k>
+·36·class·Nedelec1stKindSimplexLocalBasis
+·30·{
+·31
+·38·//·Number·of·edges·of·the·reference·simplex
+·39·constexpr·static·std::size_t·numberOfEdges·=·dim*(dim+1)/2;
+·40
+·32·public:
+·42·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>,
+·43·R,dim,FieldVector<R,dim>,
+·44·FieldMatrix<R,dim,dim>·>;
+·45
+·33·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
+FieldVector<R,2>,
+·Dune::FieldMatrix<R,2,2>·>·Traits;
+·35
+·BDM1Cube2DLocalBasis·()
+·38·{
+·39·for·(size_t·i=0;·i<4;·i++)
+·40·sign_[i]·=·1.0;
+·54·std::fill(edgeOrientation_.begin(),·edgeOrientation_.end(),·1.0);
+·55·}
+·56
+·59·Nedelec1stKindSimplexLocalBasis(std::bitset<numberOfEdges>·edgeOrientation)
+·60·:·Nedelec1stKindSimplexLocalBasis()
+·61·{
+·62·for·(std::size_t·i=0;·i<edgeOrientation_.size();·i++)
+·63·edgeOrientation_[i]·*=·edgeOrientation[i]·?·-1.0·:·1.0;
+·41·}
+·65
+·42
+·BDM1Cube2DLocalBasis·(std::bitset<4>·s)
+·49·{
+·50·for·(size_t·i=0;·i<4;·i++)
+·51·sign_[i]·=·s[i]·?·-1.0·:·1.0;
+·52·}
+·53
+·unsigned·int·size·()·const
+·56·{
+·57·return·8;
+·58·}
+·59
+·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
+·67·std::vector<typename·Traits::RangeType>&·out)·const
+·68·{
+·69·static_assert(dim==2·||·dim==3,·"Nedelec·shape·functions·are·implemented
+only·for·2d·and·3d·simplices.");
+·70·if·(dim==2)
+·71·return·k·*·(k+2);
+·72·if·(dim==3)
+·69·out.resize(8);
+·70
+·71·out[0][0]·=·sign_[0]*(in[0]·-·1.0);
+·72·out[0][1]·=·0.0;
+·73·out[1][0]·=·6.0*in[0]*in[1]·-·3.0*in[0]-6*in[1]·+·3.0;
+·74·out[1][1]·=·-3.0*in[1]*in[1]·+·3.0*in[1];
+·75·out[2][0]·=·sign_[1]*(in[0]);
+·76·out[2][1]·=·0.0;
+·77·out[3][0]·=·-6.0*in[0]*in[1]·+·3.0*in[0];
+·78·out[3][1]·=·3.0*in[1]*in[1]·-·3.0*in[1];
+·79·out[4][0]·=·0.0;
+·80·out[4][1]·=·sign_[2]*(in[1]·-·1.0);
+·81·out[5][0]·=·3.0*in[0]*in[0]·-·3.0*in[0];
+·82·out[5][1]·=·-6.0*in[0]*in[1]·+·6.0*in[0]·+·3.0*in[1]·-·3.0;
+·83·out[6][0]·=·0.0;
+·84·out[6][1]·=·sign_[3]*(in[1]);
+·85·out[7][0]·=·-3.0*in[0]*in[0]·+·3.0*in[0];
+·86·out[7][1]·=·6.0*in[0]*in[1]·-·3.0*in[1];
+·87·}
+·75
+·81·void·evaluateFunction(const·typename·Traits::DomainType&·in,
+·82·std::vector<typename·Traits::RangeType>&·out)·const
+·83·{
+·84·static_assert(k==1,·"Evaluating·Nédélec·shape·functions·is·implemented·only
+for·first·order.");
+·85·out.resize(size());
+·86
+·87·if·(dim==2)

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·monomial
+····*·brezzidouglasmarini
+····*·brezzidouglasmarini1cube2d
+brezzidouglasmarini1cube2dlocalcoefficients.hh
+Go_to_the_documentation_of_this_file.
+·1//·-*-·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·-*-
+·2//·vi:·set·et·ts=4·sw=2·sts=2:
+·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH
+·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALCOEFFICIENTS_HH
+·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_CUBE2D_LOCALCOEFFICIENTS_HH
+·7
+·8#include·<cstddef>
+·9#include·<vector>
+·10
+·10#include·<numeric>
+·11
+·12#include·<dune/common/fmatrix.hh>
+·13#include·<dune/common/math.hh>
+·14
+·11#include·"../../common/localkey.hh"
+·12
+·13namespace·Dune
+·14{
+·15
+·class·BDM1Cube2DLocalCoefficients
+·namespace·MonomImp
+·20·{
+·22·template·<typename·Traits>
+·class·EvalAccess·{
+·24·std::vector<typename·Traits::RangeType>·&out;
+·25#ifndef·NDEBUG
+·26·unsigned·int·first_unused_index;
+·27#endif
+·28
+·29·public:
+·EvalAccess(std::vector<typename·Traits::RangeType>·&out_)
+·31·:·out(out_)
+·32#ifndef·NDEBUG
+·33·,·first_unused_index(0)
+·34#endif
+·35·{·}
+·36#ifndef·NDEBUG
+·~EvalAccess()·{
+·38·assert(first_unused_index·==·out.size());
+·39·}
+·40#endif
+·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
+·42·{
+·43·assert(index·<·out.size());
+·44#ifndef·NDEBUG
+·45·if(first_unused_index·<=·index)
+·46·first_unused_index·=·index+1;
+·47#endif
+·48·return·out[index][0];
+·49·}
+·50·};
+·51
+·53·template·<typename·Traits>
+·class·JacobianAccess·{
+·55·std::vector<typename·Traits::JacobianType>·&out;
+·56·unsigned·int·row;
+·57#ifndef·NDEBUG
+·58·unsigned·int·first_unused_index;
+·59#endif
+·60
+·61·public:
+·JacobianAccess(std::vector<typename·Traits::JacobianType>·&out_,
+·63·unsigned·int·row_)
+·64·:·out(out_),·row(row_)
+·65#ifndef·NDEBUG
+·66·,·first_unused_index(0)
+·67#endif
+·68·{·}
+·69#ifndef·NDEBUG
+·~JacobianAccess()·{
+·71·assert(first_unused_index·==·out.size());
+·72·}
+·73#endif
+·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
+·75·{
+·76·assert(index·<·out.size());
+·77#ifndef·NDEBUG
+·78·if(first_unused_index·<=·index)
+·79·first_unused_index·=·index+1;
+·80#endif
+·81·return·out[index][0][row];
+·82·}
+·83·};
+·84
+·97·template·<typename·Traits,·int·c>
+·struct·Evaluate
+·99·{
+·constexpr·static·int·d·=·Traits::dimDomain·-·c;
+·102
+·109·template·<typename·Access>
+·static·void·eval·(
+·111·const·typename·Traits::DomainType·&in,
+·114·const·std::array<unsigned·int,·Traits::dimDomain>·&derivatives,
+·117·typename·Traits::RangeFieldType·prod,
+·119·int·bound,
+·121·int&·index,
+·123·Access·&access)
+·24·{
+·25
+·125·//·start·with·the·highest·exponent·for·this·dimension,·then·work·down
+·126·for·(int·e·=·bound;·e·>=·0;·--e)
+·127·{
+·128·//·the·rest·of·the·available·exponents,·to·be·used·by·the·other
+·129·//·dimensions
+·130·int·newbound·=·bound·-·e;
+·131·if(e·<·(int)derivatives[d])
+·132·Evaluate<Traits,c-1>::
+·133eval(in,·derivatives,·0,·newbound,·index,·access);
+·134·else·{
+·135·int·coeff·=·1;
+·136·for(int·i·=·e·-·derivatives[d]·+·1;·i·<=·e;·++i)
+·137·coeff·*=·i;


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·monomial	7	····*·brezzidouglasmarini
8	Classes·\|·Namespaces	8	Classes·\|·Namespaces
9	monomiallocalcoefficients.hh·File·Reference
10	#include·<cstddef>
11	#include·<vector>
12	#incl~~ude·"../co~~m~~mon/~~l~~ocalk~~e~~y.hh"~~	9	brezzidouglasmarinisimplex.hh·File·Reference
		10	#include·<dune/localfunctions/brezzidouglasmarini/
		11	brezzidouglasmarini1simplex2d.hh>
		12	#include·<dune/localfunctions/brezzidouglasmarini/
		13	brezzidouglasmarini2simplex2d.hh>
13	Go_to_the_source_code_of_this_file.	14	Go_to_the_source_code_of_this_file.
14	·Classes	15	·Classes
15	class· Dune::MonomialLocalCoefficients<_static_size_>
16	~~······Lay~~ou~~t·m~~a~~p·for·~~m~~onomi~~al·finite·element~~s.·More...~~	16	class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>
		17	······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with
		18	········dimension·2·and·order·1.·More...
		19
		20	class· Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_>
		21	······Brezzi-Douglas-Marini·local·finite·elements·for·simplices·with
		22	········dimension·2·and·order·2.·More...
17		23
18	·Namespaces	24	·Namespaces
19	namespace· Dune	25	namespace· Dune
20		26

21	===============================================================================	27	===============================================================================
22	·····Generated·by [doxygen]·1.9.4	28	·····Generated·by [doxygen]·1.9.4


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4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·monomial
8	m~~onomiallocalc~~oef~~ficients.hh~~	7	····*·brezzidouglasmarini
		8	brezzidouglasmarinisimplex.hh
9	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
11	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
13	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
15	·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
16	·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_~~MONOM~~I~~ALLOC~~A~~LCOEFF~~ICI~~ENTS~~_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
17	·7	17	·7
18	·8#include·<cstddef>
19	·9#include·<vector>	18	·8#include·<dune/localfunctions/brezzidouglasmarini/
		19	brezzidouglasmarini1simplex2d.hh>
		20	·9#include·<dune/localfunctions/brezzidouglasmarini/
		21	brezzidouglasmarini2simplex2d.hh>
20	·10	22	·10
		23	·11
21	·11#include·"../common/localkey.hh"
22	·12
23	·13namespace·Dune	24	·12namespace·Dune
24	·14{	25	·13{
		26	·22·template<class·D,·class·R,·unsigned·int·dim,·unsigned·int·order>
		27	23·class·BrezziDouglasMariniSimplexLocalFiniteElement;
25	·15
26	·22·template<int·static_size>
27	23·class·MonomialLocalCoefficients
28	·24·{	28	·24
		29	·28·template<class·D,·class·R>
		30	29·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·1>
		31	·30·:·public·BDM1Simplex2DLocalFiniteElement<D,·R>
		32	·31·{
29	·25·public:	33	·32·public:
		34	34·BrezziDouglasMariniSimplexLocalFiniteElement()
		35	·35·{}
30	27·MonomialLocalCoefficients·()
31	·28·:·index(static_size,·LocalKey(0,0,0))
32	·29·{
33	·30·for(int·i·=·0;·i·<·static_size;·++i)
34	·31·index[i].index(i);
35	·32·}
36	·33
37	35·std::size_t·size·()·const
38	·36·{	36	·36
		37	42·BrezziDouglasMariniSimplexLocalFiniteElement(int·s)
		38	·43·:·BDM1Simplex2DLocalFiniteElement<D,·R>::BDM1Simplex2DLocalFiniteElement(s)
39	·37·return·static_size;
40	·38·}
41	·39
42	41·const·LocalKey&·localKey·(std::size_t·i)·const
43	·42·{
44	·43·return·index[i];
45	·44·}	39	·44·{}
46	·45
47	·46·private:
48	·47·std::vector<LocalKey>·index;
49	·48·};	40	·45·};
50	·49
51	·50}
52	·~~51#endif·//DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_~~HH	41	·46
		42	·50·template<class·D,·class·R>
		43	51·class·BrezziDouglasMariniSimplexLocalFiniteElement<D,·R,·2,·2>
		44	·52·:·public·BDM2Simplex2DLocalFiniteElement<D,·R>
		45	·53·{
		46	·54·public:
		47	56·BrezziDouglasMariniSimplexLocalFiniteElement()
		48	·57·{}
		49	·58
		50	64·BrezziDouglasMariniSimplexLocalFiniteElement(int·s)
		51	·65·:·BDM2Simplex2DLocalFiniteElement<D,·R>::BDM2Simplex2DLocalFiniteElement(s)
		52	·66·{}
		53	·67·};
		54	·68
		55	·69}·//·namespace·Dune
		56	·70
		57	·71#endif·//·#ifndef
		58	DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI_BREZZIDOUGLASMARINISIMPLEX_HH
		59	brezzidouglasmarini1simplex2d.hh
		60	brezzidouglasmarini2simplex2d.hh
53	Dune	61	Dune
54	Definition:·bdfmcube.hh:18	62	Definition:·bdfmcube.hh:18
55	Dune::LocalKey
56	Describe·position·of·one·degree·of·freedom.
57	Definition:·localkey.hh:23
58	Dune::MonomialLocalCoefficients
59	Layout·map·for·monomial·finite·elements.
60	Definition:·monomiallocalcoefficients.hh:24
61	Dune::MonomialLocalCoefficients::size
62	std::size_t·size()·const
63	number·of·coefficients
64	Definition:·monomiallocalcoefficients.hh:35
65	Dune::MonomialLocalCoefficients::MonomialLocalCoefficients
66	MonomialLocalCoefficients()
67	Standard·constructor.
68	Definition:·monomiallocalcoefficients.hh:27
69	Dune::MonomialLocalCoefficients::localKey
70	const·LocalKey·&·localKey(std::size_t·i)·const
71	get·i'th·index
72	D~~efinition:·~~mo~~nomiall~~ocal~~coef~~ficie~~nts.hh:41~~	63	Dune::BDM1Simplex2DLocalFiniteElement
		64	First·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.
		65	Definition:·brezzidouglasmarini1simplex2d.hh:28
		66	Dune::BDM2Simplex2DLocalFiniteElement
		67	Second·order·Brezzi-Douglas-Marini·shape·functions·on·triangles.
		68	Definition:·brezzidouglasmarini2simplex2d.hh:27
		69	Dune::BrezziDouglasMariniSimplexLocalFiniteElement
		70	Brezzi-Douglas-Marini·local·finite·element·for·simplices.
		71	Definition:·brezzidouglasmarinisimplex.hh:23
		72	Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>::
		73	BrezziDouglasMariniSimplexLocalFiniteElement
		74	BrezziDouglasMariniSimplexLocalFiniteElement(int·s)
		75	Constructor·with·a·set·of·edge·orientations.
		76	Definition:·brezzidouglasmarinisimplex.hh:42
		77	Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_1_>::
		78	BrezziDouglasMariniSimplexLocalFiniteElement
		79	BrezziDouglasMariniSimplexLocalFiniteElement()
		80	Default·constructor.
		81	Definition:·brezzidouglasmarinisimplex.hh:34
		82	Dune::BrezziDouglasMariniSimplexLocalFiniteElement<_D,_R,_2,_2_>::
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