/usr/bin/diffoscope --timeout 7200 --html /srv/reproducible-results/rbuild-debian/r-b-build.6kJsv7q6/dune-localfunctions_2.9.0-2.diffoscope.html --text /srv/reproducible-results/rbuild-debian/r-b-build.6kJsv7q6/dune-localfunctions_2.9.0-2.diffoscope.txt --json /srv/reproducible-results/rbuild-debian/r-b-build.6kJsv7q6/dune-localfunctions_2.9.0-2.diffoscope.json --profile=- /srv/reproducible-results/rbuild-debian/r-b-build.6kJsv7q6/b1/dune-localfunctions_2.9.0-2_armhf.changes /srv/reproducible-results/rbuild-debian/r-b-build.6kJsv7q6/b2/dune-localfunctions_2.9.0-2

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8	<title>dune-localfunctions:·refined.hh·File·Reference</title>	8	<title>dune-localfunctions:·nedelec1stkindsimplex.hh·File·Reference</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>
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14	<script·type="text/javascript"·src="search/search.js"></script>	14	<script·type="text/javascript"·src="search/search.js"></script>
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58	<iframe·src="javascript:void(0)"·frameborder="0"·	58	<iframe·src="javascript:void(0)"·frameborder="0"·
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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>··</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_1827d78335859fc5128ae8554d7cfd8a.html">nedelec</a></li>··</ul>
65	</div>	65	</div>
66	</div><!--·top·-->	66	</div><!--·top·-->
67	<div·class="header">	67	<div·class="header">
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		69	<a·href="#nested-classes">Classes</a>·\|
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68	··<div·class="headertitle"><div·class="title">refined.hh·File·Reference</div></div>	71	··<div·class="headertitle"><div·class="title">nedelec1stkindsimplex.hh·File·Reference</div></div>
69	</div><!--header-->	72	</div><!--header-->
70	<div·class="contents">	73	<div·class="contents">

71	<p>Convenience·header·that·includes·all·available·LocalFiniteElements·based·on·uniform·element·refinement.··
72	<a~~·hr~~ef="#detail~~s">Mo~~r~~e...~~</a></p>	74	<div·class="textblock"><code>#include·<numeric></code><br·/>
		75	<code>#include·<dune/common/fmatrix.hh></code><br·/>
		76	<code>#include·<dune/common/fvector.hh></code><br·/>
		77	<code>#include·<dune/geometry/referenceelements.hh></code><br·/>
		78	<code>#include·<dune/geometry/type.hh></code><br·/>
		79	<code>#include·<<a·class="el"·href="a04464_source.html">dune/localfunctions/common/localbasis.hh</a>></code><br·/>
		80	<code>#include·<<a·class="el"·href="a00404_source.html">dune/localfunctions/common/localfiniteelementtraits.hh</a>></code><br·/>
73	<~~div·class="textblock"><~~code>#include·<<a·class="el"·href="a0~~0332~~_source.html">dune/localfunctions/~~refi~~n~~ed/ref~~inedp0.hh</a>></code><br·/>	81	<code>#include·<<a·class="el"·href="a04470_source.html">dune/localfunctions/common/localinterpolation.hh</a>></code><br·/>
74	<code>#include·<<a·class="el"·href="a00317_source.html">dune/localfunctions/r~~efined~~/r~~efinedp1~~.hh</a>></code><br·/>	82	<code>#include·<<a·class="el"·href="a00392_source.html">dune/localfunctions/common/localkey.hh</a>></code><br·/>
75	</div>	83	</div>
76	<p><a·href="a00011_source.html">Go·to·the·source·code·of·this·file.</a></p>	84	<p><a·href="a00011_source.html">Go·to·the·source·code·of·this·file.</a></p>
77	<a·name="details"·id="details"></a><h2·class="groupheader">Detailed·Description</h2>
78	<~~div·class="textblock"><p·>Convenience·header·tha~~t~~·includes·all·avail~~able·Loc~~alFiniteE~~l~~ements·b~~as~~ed·on·unifor~~m~~·el~~em~~ent·~~re~~fin~~eme~~nt.·</p~~>	85	<table·class="memberdecls">
		86	<tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="nested-classes"·name="nested-classes"></a>
		87	Classes</h2></td></tr>
		88	<tr·class="memitem:"><td·class="memItemLeft"·align="right"·valign="top">class· </td><td·class="memItemRight"·valign="bottom"><a·class="el"·href="a02129.html">Dune::Nedelec1stKindSimplexLocalFiniteElement<·D,·R,·dim,·k·></a></td></tr>
		89	<tr·class="memdesc:"><td·class="mdescLeft"> </td><td·class="mdescRight">Nédélec·elements·of·the·first·kind·for·simplex·elements.··<a·href="a02129.html#details">More...</a><br·/></td></tr>
		90	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>
		91	</table><table·class="memberdecls">
		92	<tr·class="heading"><td·colspan="2"><h2·class="groupheader"><a·id="namespaces"·name="namespaces"></a>
		93	Namespaces</h2></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>
		95	<tr·class="separator:"><td·class="memSeparator"·colspan="2"> </td></tr>
		96	</table>
79	</div><~~/div><~~!--·contents·-->	97	</div><!--·contents·-->
80	<!--·start·footer·part·-->	98	<!--·start·footer·part·-->
81	<hr·class="footer"/><address·class="footer"><small>	99	<hr·class="footer"/><address·class="footer"><small>
82	Generated·by <a·href="https://www.doxygen.org/index.html"><img·class="footer"·src="doxygen.svg"·width="104"·height="31"·alt="doxygen"/></a>·1.9.4	100	Generated·by <a·href="https://www.doxygen.org/index.html"><img·class="footer"·src="doxygen.svg"·width="104"·height="31"·alt="doxygen"/></a>·1.9.4
83	</small></address>	101	</small></address>
84	</body>	102	</body>
85	</html>	103	</html>


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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.hh·File·Reference
8	Convenience·header·that·includes·all·available·LocalFiniteElements·based·on
9	uniform·element·refinement.·More...
10	#include·<dune/localfunctions/refined/refinedp0.hh>
11	~~#include~~·~~<dune/localfunctions/refi~~ned/refine~~dp1.hh~~>	7	····*·nedelec
		8	Classes·\|·Namespaces
		9	nedelec1stkindsimplex.hh·File·Reference
		10	#include·<numeric>
		11	#include·<dune/common/fmatrix.hh>
		12	#include·<dune/common/fvector.hh>
		13	#include·<dune/geometry/referenceelements.hh>
		14	#include·<dune/geometry/type.hh>
		15	#include·<dune/localfunctions/common/localbasis.hh>
		16	#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
		17	#include·<dune/localfunctions/common/localinterpolation.hh>
		18	#include·<dune/localfunctions/common/localkey.hh>
12	Go_to_the_source_code_of_this_file.	19	Go_to_the_source_code_of_this_file.
13	***·Detailed·Description·***
14	Convenience·header·that·includes·all·available·LocalFiniteElements·based·on
15	~~uniform~~·el~~ement·refinem~~ent.	20	·Classes
		21	class· Dune::Nedelec1stKindSimplexLocalFiniteElement<_D,_R,_dim,_k_>
		22	······Nédélec·elements·of·the·first·kind·for·simplex·elements.·More...
		23
		24	·Namespaces
		25	namespace· Dune
		26

16	===============================================================================	27	===============================================================================
17	·····Generated·by [doxygen]·1.9.4	28	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·nedelec
+nedelec1stkindsimplex.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
+·11#include·<dune/localfunctions/refined/refinedp0.hh>
+·12#include·<dune/localfunctions/refined/refinedp1.hh>
+refinedp1.hh
+refinedp0.hh
+·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH
+·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELEC1STKINDSIMPLEX_HH
+·7
+·8#include·<numeric>
+·9
+·10#include·<dune/common/fmatrix.hh>
+·11#include·<dune/common/fvector.hh>
+·12
+·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
+·21namespace·Dune
+·22{
+·23namespace·Impl
+·24{
+·35·template<class·D,·class·R,·int·dim,·int·k>
+·36·class·Nedelec1stKindSimplexLocalBasis
+·37·{
+·38·//·Number·of·edges·of·the·reference·simplex
+·39·constexpr·static·std::size_t·numberOfEdges·=·dim*(dim+1)/2;
+·40
+·41·public:
+·42·using·Traits·=·LocalBasisTraits<D,dim,FieldVector<D,dim>,
+·43·R,dim,FieldVector<R,dim>,
+·44·FieldMatrix<R,dim,dim>·>;
+·45
+·52·Nedelec1stKindSimplexLocalBasis()
+·53·{
+·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;
+·64·}
+·65
+·67·static·constexpr·unsigned·int·size()
+·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)
+·73·return·k·*·(k+2)·*·(k+3)·/·2;
+·74·}
+·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)
+·88·{
+·89·//·First-order·Nédélec·shape·functions·on·a·triangle·are·of·the·form
+·90·//
+·91·//·(a1,·a2)·+·b(-x2,·x1)^T,·a_1,·a_2,·b·\in·R
+·92·out[0]·=·{D(1)·-·in[1],·in[0]};
+·93·out[1]·=·{in[1],·-in[0]+D(1)};
+·94·out[2]·=·{-in[1],·in[0]};
+·95·}
+·96
+·97·if·constexpr·(dim==3)
+·98·{
+·99·//·First-order·Nédélec·shape·functions·on·a·tetrahedron·are·of·the·form
+·100·//
+·101·//·a·+·b·\times·x,·a,·b·\in·R^3
+·102·//
+·103·//·The·following·coefficients·create·the·six·basis·vectors
+·104·//·that·are·dual·to·the·edge·degrees·of·freedom:
+·105·//
+·106·//·a[0]·=·{·1,·0,·0}·b[0]·=·{·0,·-1,·1}
+·107·//·a[1]·=·{·0,·1,·0}·b[1]·=·{·1,·0,·-1}
+·108·//·a[2]·=·{·0,·0,·0}·b[2]·=·{·0,·0,·1}
+·109·//·a[3]·=·{·0,·0,·1}·b[3]·=·{-1,·1,·0}
+·110·//·a[4]·=·{·0,·0,·0}·b[4]·=·{·0,·-1,·0}
+·111·//·a[5]·=·{·0,·0,·0}·b[5]·=·{·1,·0,·0}
+·112·//
+·113·//·The·following·implementation·uses·these·values,·and·simply
+·114·//·skips·all·the·zeros.
+·115
+·116·out[0]·=·{·1·-·in[1]·-·in[2],·in[0]·,·in[0]·};
+·117·out[1]·=·{·in[1]·,·1·-·in[0]·-·in[2],·in[1]};
+·118·out[2]·=·{·-·in[1]·,·in[0]·,·0·};
+·119·out[3]·=·{·in[2],·in[2],·1·-·in[0]·-·in[1]};
+·120·out[4]·=·{·-in[2],·0·,·in[0]·};
+·121·out[5]·=·{·0·,·-in[2],·in[1]};
+·122·}
+·123
+·124·for·(std::size_t·i=0;·i<out.size();·i++)
+·125·out[i]·*=·edgeOrientation_[i];
+·126·}
+·127
+·133·void·evaluateJacobian(const·typename·Traits::DomainType&·in,
+·134·std::vector<typename·Traits::JacobianType>&·out)·const
+·135·{
+·136·out.resize(size());
+·137·if·(dim==2)
+·138·{


Offset 4, 26 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	····*·~~raviartthomas~~	7	····*·nedelec
		8	····*·nedelecsimplex
8	Classes·\|·Namespaces	9	Classes·\|·Namespaces
9	raviartthomas2cube2d.hh·File·Reference
10	#include·<dune/geometry/type.hh>
11	#include·"../common/localfiniteelementtraits.hh"
12	#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh"
13	#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh"
14	#include·~~"rav~~i~~arttho~~m~~as2c~~ube2d/ravi~~artthoma~~s2~~cube2d~~loc~~alint~~er~~polati~~on.hh"	10	nedelecsimplexbasis.hh·File·Reference
		11	#include·<fstream>
		12	#include·<dune/common/exceptions.hh>
		13	#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
		14	#include·"nedelecsimplexinterpolation.hh"
		15	#include·"nedelecsimplexprebasis.hh"
15	Go_to_the_source_code_of_this_file.	16	Go_to_the_source_code_of_this_file.
16	·Classes	17	·Classes
		18	struct· Dune::NedelecBasisFactory<_dim,_SF,_CF_>
17	class· Dune::RT2Cube2DLocalFiniteElement<_D,_R_>
18	······Second·order·Raviart-Thomas·shape·functions·on·cubes.·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

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·raviartthomas
+····*·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_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
+·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
+·7
+·8#include·<dune/geometry/type.hh>
+·9
+·10#include·"../common/localfiniteelementtraits.hh"
+·11#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalbasis.hh"
+·12#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalcoefficients.hh"
+·13#include·"raviartthomas2cube2d/raviartthomas2cube2dlocalinterpolation.hh"
+·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"
+·15
+·16namespace·Dune
+·17{
+·25·template<class·D,·class·R>
+·class·RT2Cube2DLocalFiniteElement
+·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·public:
+·30·typedef·LocalFiniteElementTraits<
+·31·RT2Cube2DLocalBasis<D,R>,
+·32·RT2Cube2DLocalCoefficients,
+·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·>·Traits;
+·34
+·RT2Cube2DLocalFiniteElement·()
+·37·{}
+·38
+·RT2Cube2DLocalFiniteElement·(int·s)·:
+·45·basis(s),
+·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>,
+·40·dim,dim,SF,CF·>
+·41·{};
+·42}
+·43
+·44#endif·//·#ifndef
+DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXBASIS_HH
+nedelecsimplexinterpolation.hh
+nedelecsimplexprebasis.hh
+defaultbasisfactory.hh
+·48
+·const·typename·Traits::LocalBasisType&·localBasis·()·const
+·50·{
+·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;
+·73·}
+·74
+·75·private:
+·76·RT2Cube2DLocalBasis<D,R>·basis;
+·77·RT2Cube2DLocalCoefficients·coefficients;
+·78·RT2Cube2DLocalInterpolation<RT2Cube2DLocalBasis<D,R>·>·interpolation;
+·79·};
+·80}
+·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALFINITEELEMENT_HH
+raviartthomas2cube2dlocalbasis.hh
+raviartthomas2cube2dlocalcoefficients.hh
+raviartthomas2cube2dlocalinterpolation.hh
+Dune
+Definition:·bdfmcube.hh:18
+Dune::NedelecBasisFactory
+Definition:·nedelecsimplexbasis.hh:41


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


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·~~raviartthomas~~	7	····*·nedelec
		8	····*·nedelecsimplex
8	Classes·\|·Namespaces	9	Classes·\|·Namespaces
9	~~rav~~iartthoma~~s02d~~.hh·File·Reference	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>
		16	#include·<dune/geometry/referenceelements.hh>
10	#include·<dune/geometry/type.hh>	17	#include·<dune/geometry/type.hh>
11	#include·<dune/localfunctions/common/local~~finiteele~~me~~nttrait~~s.hh>	18	#include·<dune/localfunctions/common/localkey.hh>
12	#include·"raviartthomas02d/raviartthomas02dlocalbasis.hh"
13	#include·"raviartthomas02d/raviartthomas02dlocalcoefficients.hh"
14	#include·~~"raviartth~~o~~mas02d/~~ra~~viart~~tho~~mas02d~~l~~ocal~~interpolation.hh"	19	#include·<dune/localfunctions/utility/interpolationhelper.hh>
		20	#include·<dune/localfunctions/utility/polynomialbasis.hh>
		21	#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
15	Go_to_the_source_code_of_this_file.	22	Go_to_the_source_code_of_this_file.
16	·Classes	23	·Classes
17	class· Dune::RT02DLocalFiniteElement<_D,_R_>
18	~~······Zero~~·~~order~~·Ra~~viart-Th~~oma~~s·shap~~e·functions·on·triangle~~s.·Mo~~r~~e...~~	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_>
19		34
20	·Namespaces	35	·Namespaces
21	namespace· Dune	36	namespace· Dune
22		37

23	===============================================================================	38	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	39	·····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	····*·raviartthomas
8	~~raviartthomas02d.hh~~	7	····*·nedelec
		8	····*·nedelecsimplex
		9	nedelecsimplexinterpolation.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_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH
16	·6#defin~~e·DUNE_RAVIARTTHOMAS02DLOCALFINITEELEMENT_HH~~	16	·5#ifndef
		17	DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH
		18	·6#define
		19	DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH
17	·7	20	·7
		21	·8#include·<fstream>
		22	·9#include·<utility>
		23	·10#include·<numeric>
		24	·11
		25	·12#include·<dune/common/exceptions.hh>
		26	·13
		27	·14#include·<dune/geometry/quadraturerules.hh>
		28	·15#include·<dune/geometry/referenceelements.hh>
18	·8#include·<dune/geometry/type.hh>	29	·16#include·<dune/geometry/type.hh>
19	·9
20	·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
21	·11#include·"raviartthomas02d/raviartthomas02dlocalbasis.hh"
22	·12#include·"raviartthomas02d/raviartthomas02dlocalcoefficients.hh"
23	·13#include·"raviartthomas02d/raviartthomas02dlocalinterpolation.hh"
24	·14
25	·15namespace·Dune
26	·16{
27	·17	30	·17
28	·26·template<class·D,·class·R>
29	27·class
30	·28·RT02DLocalFiniteElement
31	·29·{
32	·30·public:
33	·31·typedef
34	LocalFiniteElementTraits<RT02DLocalBasis<D,R>,RT02DLocalCoefficients,
35	~~32·RT02DLocalInt~~erpola~~tio~~n~~<RT02DL~~o~~calBasis<D,R>·>·>·Traits;~~	31	·18#include·<dune/localfunctions/common/localkey.hh>
		32	·19#include·<dune/localfunctions/utility/interpolationhelper.hh>
		33	·20#include·<dune/localfunctions/utility/polynomialbasis.hh>
		34	·21#include·<dune/localfunctions/orthonormal/orthonormalbasis.hh>
		35	·22
		36	·23namespace·Dune
		37	·24{
		38	·25
		39	·26·//·Internal·Forward·Declarations
		40	·27·//·-----------------------------
		41	·28
		42	·29·template·<·unsigned·int·dim,·class·Field·>
		43	·30·struct·NedelecL2InterpolationFactory;
		44	·31
		45	·32
36	·33	46	·33
37	35·RT02DLocalFiniteElement·()
38	·36·{}
39	·37
40	43·RT02DLocalFiniteElement·(std::bitset<3>·s)·:
41	·44·basis(s),
42	·45·~~int~~e~~rpola~~tion~~(s)~~	47	·34·//·LocalCoefficientsContainer
		48	·35·//·--------------------------
		49	·36
		50	37·class·LocalCoefficientsContainer
		51	·38·{
		52	·39·typedef·LocalCoefficientsContainer·This;
		53	·40
		54	·41·public:
		55	·42·template·<class·Setter>
		56	43·LocalCoefficientsContainer·(·const·Setter·&setter·)
		57	·44·{
		58	·45·setter.setLocalKeys(localKey_);
43	·46·{}	59	·46·}
44	·47	60	·47
45	48·const·~~typename~~·Tra~~its::Lo~~c~~alBasi~~s~~Typ~~e&·~~localBas~~is·()·const	61	48·const·LocalKey·&localKey·(·const·unsigned·int·i·)·const
46	·49·{	62	·49·{
47	·50·ret~~urn~~·basis;	63	·50·assert(·i·<·size()·);
		64	·51·return·localKey_[·i·];
48	·51·}	65	·52·}
49	·52
50	~~53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()~~·~~con~~st	66	·53
		67	54·std::size_t·size·()·const
51	·54·{	68	·55·{
52	·55·return·coe~~ffic~~i~~ents~~;	69	·56·return·localKey_.size();
53	·56·}	70	·57·}
		71	·58
		72	·59·private:
		73	·60·std::vector<·LocalKey·>·localKey_;
54	·57
55	58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
56	·59·{
57	·60·return·interpolation;
58	·61·}	74	·61·};
59	·62	75	·62
60	~~63·unsigned·int·size·()~~·~~con~~st	76	·63
61	·64·{	77	·64
62	·65·return·3;
63	·66·}	78	·65·//·NedelecCoefficientsFactory
		79	·66·//·--------------------------------
64	·67	80	·67
65	68·~~sta~~tic~~·cons~~texpr·~~GeometryType~~·t~~ype~~·()	81	·68·template·<·unsigned·int·dim·>
		82	69·struct·NedelecCoefficientsFactory
		83	·70·{
		84	71·typedef·std::size_t·Key;
		85	72·typedef·const·LocalCoefficientsContainer·Object;
		86	·73
		87	·74·template<·GeometryType::Id·geometryId·>
		88	75·static·Object·*create(·const·Key·&key·)
		89	·76·{
		90	·77·typedef·NedelecL2InterpolationFactory<_dim,_double_>·InterpolationFactory;
		91	·78·if(·!supports<·geometryId·>(·key·)·)
		92	·79·return·nullptr;
		93	·80·typename·InterpolationFactory::Object·*interpolation·=
		94	InterpolationFactory::template·create<·geometryId·>(·key·);
		95	·81·Object·localKeys·=·new·Object(·interpolation·);
		96	·82·InterpolationFactory::release(·interpolation·);
		97	·83·return·localKeys;
		98	·84·}
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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	····*·raviartthomas
8	~~raviartthomas3cub~~e~~2d.hh~~	7	····*·nedelec
		8	····*·nedelecsimplex
		9	nedelecsimplexprebasis.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_RAVIARTTHOMAS3_CUBE2D_LOCALFINITEELEMENT_HH
16	·6#define·DUNE_LOCALFUNCTIONS_~~RAVIARTTHOMA~~S~~3_CUBE2~~D_LOCALFI~~NIT~~EELE~~MENT~~_HH	16	·5#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH
		17	·6#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXPREBASIS_HH
17	·7	18	·7
		19	·8#include·<fstream>
		20	·9#include·<utility>
		21	·10
18	·8#include·<dune/geometry/type.hh>	22	·11#include·<dune/geometry/type.hh>
		23	·12
		24	·13#include·<dune/localfunctions/utility/polynomialbasis.hh>
19	·9
20	·10#include·"../common/localfiniteelementtraits.hh"
21	·11#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalbasis.hh"
22	·12#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalcoefficients.hh"
23	·13#include·"raviartthomas3cube2d/raviartthomas3cube2dlocalinterpolation.hh"
24	·14	25	·14
25	·15namespace·Dune	26	·15namespace·Dune
26	·16{	27	·16{
27	·27·template<class·D,·class·R>
28	28·class·RT~~3Cube2DL~~o~~calFiniteE~~le~~ment~~	28	·17·template·<·GeometryType::Id·geometryId,·class·Field·>
		29	·18·struct·NedelecVecMatrix;
		30	·19
		31	·20·template·<unsigned·int·dim,·class·Field>
		32	21·struct·NedelecPreBasisFactory
29	·29·{	33	·22·{
		34	23·typedef·MonomialBasisProvider<dim,Field>·MBasisFactory;
		35	24·typedef·typename·MBasisFactory::Object·MBasis;
		36	25·typedef·StandardEvaluator<MBasis>·EvalMBasis;
		37	26·typedef·PolynomialBasisWithMatrix<EvalMBasis,SparseCoeffMatrix<Field,dim>·>
		38	Basis;
		39	·27
		40	28·typedef·const·Basis·Object;
		41	29·typedef·std::size_t·Key;
30	·30	42	·30
31	·31·public:
32	·32·typedef·LocalFiniteElementTraits<
33	·33·RT3Cube2DLocalBasis<D,R>,
34	·34·RT3Cube2DLocalCoefficients,
35	35·RT3~~Cub~~e~~2DLo~~calInter~~polat~~ion<~~RT3Cube2DLo~~calBasis~~<D,R>~~·>·>~~·Traits;~~	43	·31·template·<unsigned·int·dd,·class·FF>
		44	32·struct·EvaluationBasisFactory
		45	·33·{
		46	34·typedef·MonomialBasisProvider<dd,FF>·Type;
		47	·35·};
36	·36	48	·36
37	38·~~RT3Cub~~e~~2DL~~o~~calFinit~~eEleme~~nt·()~~	49	·37·template<·GeometryType::Id·geometryId·>
		50	38·static·Object·*create·(·Key·order·)
38	·39·{}	51	·39·{
39	·40
40	46·RT3Cube2DLocalFiniteElement·(int·s)·:
41	·47·basis(s),
42	·48·interpolation(s)
43	·49·{}
44	·50
45	51·const·typename·Traits::LocalBasisType&·localBasis·()·const
46	·52·{	52	·40·/*
		53	·41·*·The·nedelec·parameter·begins·at·1.
		54	·42·*·This·is·the·numbering·used·by·J.C.·Nedelec·himself.
		55	·43·*·See·"Mixed·Finite·Elements·in·\R^3"·published·in·1980.
		56	·44·*
		57	·45·*·This·construction·is·based·on·the·construction·of·Raviart-Thomas
		58	elements.
		59	·46·*·There·the·numbering·starts·at·0.
		60	·47·*·Because·of·this·we·reduce·the·order·internally·by·1.
		61	·48·*/
		62	·49·order--;
		63	·50·NedelecVecMatrix<geometryId,Field>·vecMatrix(order);
		64	·51·MBasis·*mbasis·=·MBasisFactory::template·create<geometryId>(order+1);
		65	·52·std::remove_const_t<Object>*·tmBasis·=·new·std::remove_const_t<Object>
		66	(*mbasis);
		67	·53·tmBasis->fill(vecMatrix);
47	·53·return·basis;	68	·54·return·tmBasis;
48	·54·}	69	·55·}
		70	56·static·void·release(·Object·*object·)·{·delete·object;·}
		71	·57·};
		72	·58
		73	·59·template·<GeometryType::Id·geometryId,·class·Field>
		74	60·struct·NedelecVecMatrix
49	·55
50	56·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
51	·57·{
52	·58·return·coefficients;
53	·59·}
54	·60
55	61·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
56	·62·{	75	·61·{
57	·63·return·interpolation;
58	·64·}
59	·65
60	67·~~uns~~igned·int·~~siz~~e·~~()·c~~onst	76	62·static·constexpr·GeometryType·geometry·=·geometryId;
		77	63·static·const·unsigned·int·dim·=·geometry.dim();
		78	64·typedef·MultiIndex<dim,Field>·MI;
		79	65·typedef·MonomialBasis<geometryId,MI>·MIBasis;
		80	66·NedelecVecMatrix(std::size_t·order)
61	·68·{	81	·67·{
62	·6~~9·retur~~n·~~basis.size(~~);	82	·68·/*
		83	·69·*·Construction·of·Nedelec·elements·see·"Mixed·Finite·Elements·in·\R^3"·by
		84	Nedelec,·1980.
		85	·70·*
		86	·71·*·Let·$\P_{n,k}$·be·the·space·of·polynomials·in·$n$·variables·with·degree
		87	$\leq·k$.
		88	·72·*·The·space·of·Nedelec·functions·in·$n$·dimensions·with·index·$k$·is
		89	defined·as
		90	·73·*
		91	·74··\begin{equation}
		92	·75·*·Ned_k·:=·(\P_{n,k-1})^n·\oplus·\{p·\in·(\P_{n,k})^n:·<p,x>=0·\}
		93	·76··\end{equation}
		94	·77·*·with·$x=(x,y)$·in·two·dimensions·and·$x=(x,y,z)$·in·three·dimensions.
		95	·78·*
		96	·79·*·For·$Ned_k$·holds
		97	·80··\begin{equation}
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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	····*·raviartthomas
8	Classes·\|·Namespaces	7	Classes·\|·Namespaces
9	~~raviartth~~om~~as4cube2d~~.hh·File·Reference	8	monomial.hh·File·Reference
		9	#include·<cassert>
		10	#include·<cstddef>
		11	#include·<cstdlib>
		12	#include·<memory>
		13	#include·<vector>
10	#include·<dune/geometry/type.hh>	14	#include·<dune/geometry/type.hh>
11	#include·"~~../~~common/localfiniteelementtraits.hh"	15	#include·"common/localfiniteelementtraits.hh"
12	#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"
13	#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh"
14	#include·"~~raviartt~~hom~~as4cube2d~~/r~~avi~~arttho~~mas4cube2~~dlocalin~~ter~~p~~ola~~t~~ion~~.hh"	16	#include·"common/localtoglobaladaptors.hh"
		17	#include·"monomial/monomiallocalbasis.hh"
		18	#include·"monomial/monomiallocalcoefficients.hh"
		19	#include·"monomial/monomiallocalinterpolation.hh"
15	Go_to_the_source_code_of_this_file.	20	Go_to_the_source_code_of_this_file.
16	·Classes	21	·Classes
17	class· Dune::R~~T4Cube2D~~LocalFiniteElement<_D,_R_>	22	class· Dune::MonomialLocalFiniteElement<_D,_R,_d,_p_>
18	······Second·o~~rder~~·Ravia~~rt-Thoma~~s~~·shape·f~~u~~nctions·o~~n·~~cube~~s.·More...	23	······Monomial·basis·for·discontinuous·Galerkin·methods.·More...
		24
		25	class· Dune::MonomialFiniteElementFactory<_Geometry,_RF,_p_>
		26	······Factory·for·global-valued·MonomFiniteElement·objects.·More...
19		27
20	·Namespaces	28	·Namespaces
21	namespace· Dune	29	namespace· Dune
22		30

23	===============================================================================	31	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	32	·····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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3	<head>	3	<head>
4	<meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>	4	<meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
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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:·~~rav~~iartthoma~~s02d~~.hh·Source·File</title>	8	<title>dune-localfunctions:·nedelecsimplexinterpolation.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>
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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_df07eea68ef~~446be83c~~32717~~b7e348~~0c.html">~~raviartthomas~~</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_1827d78335859fc5128ae8554d7cfd8a.html">nedelec</a></li><li·class="navelem"><a·class="el"·href="dir_49183f7e7ccd69590c9095f18e69e645.html">nedelecsimplex</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">~~rav~~iartthoma~~s02d~~.hh</div></div>	68	··<div·class="headertitle"><div·class="title">nedelecsimplexinterpolation.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_RA~~VIART~~THO~~MAS02~~DLOCALFI~~NIT~~EELEMENT_HH</span></div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_HH</span></div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_RA~~VIART~~THO~~MAS02~~DLOCALFI~~NIT~~EELEMENT_HH</span></div>	76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_NEDELEC_NEDELECSIMPLEX_NEDELECSIMPLEXINTERPOLATION_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·<~~dune/geo~~metr~~y/typ~~e.hh></span></div>	78	<div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·<fstream></span></div>


Offset 4, 138 lines modified		Offset 4, 254 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	monomial.hh
7	····*·raviartthomas
8	raviartthomas4cube2d.hh
9	Go_to_the_documentation_of_this_file.	8	Go_to_the_documentation_of_this_file.
10	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--	9	·1//·--·tab-width:·4;·indent-tabs-mode:·nil;·c-basic-offset:·2·--
11	·2//·vi:·set·et·ts=4·sw=2·sts=2:	10	·2//·vi:·set·et·ts=4·sw=2·sts=2:
12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	11	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
13	LICENSE.md·in·module·root	12	LICENSE.md·in·module·root
14	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception	13	·4//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
15	·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH
16	·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS4_CUBE2D_LOCALFINITEELEMENT_HH
17	·7
18	·8#include·<dune/geometry/type.hh>
19	·9
20	·10#include·"../common/localfiniteelementtraits.hh"
21	·11#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalbasis.hh"
22	·12#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalcoefficients.hh"
23	·~~13#include·"raviartthomas4cube2d/raviartthomas4cube2dlocalinterpolation.hh~~"	14	·5
		15	·6#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
		16	·7#define·DUNE_LOCALFUNCTIONS_MONOMIAL_HH
		17	·8
		18	·9#include·<cassert>
		19	·10#include·<cstddef>
		20	·11#include·<cstdlib>
		21	·12#include·<memory>
		22	·13#include·<vector>
24	·14	23	·14
		24	·15#include·<dune/geometry/type.hh>
		25	·16
		26	·17#include·"common/localfiniteelementtraits.hh"
		27	·18#include·"common/localtoglobaladaptors.hh"


Offset 4, 139 lines modified		Offset 4, 115 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·raviartthomas
8	~~raviartth~~om~~as12d.hh~~	7	····*·monomial
		8	monomiallocalinterpolation.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_RAVIARTTHOMAS12DLOCALFINITEELEMENT_HH
16	·6#define·DUNE_LOCALFUNCTIONS_~~RAV~~IAR~~TTH~~O~~MAS12D~~LOCALFINITEEL~~EMENT~~_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALINTERPOLATION_HH
17	·7	17	·7
18	·8#include·<dune/geo~~met~~r~~y/type.hh~~>	18	·8#include·<vector>
19	·9	19	·9
20	·10#include·"../common/localfiniteelementtraits.hh"
21	·11#include·"raviartthomas12d/raviartthomas12dlocalbasis.hh"
22	·12#include·"raviartthomas12d/raviartthomas12dlocalcoefficients.hh"
23	·13#include·"raviartthomas12d/raviartthomas12dlocalinterpolation.hh"
24	·14	20	·10#include·<dune/common/fvector.hh>
		21	·11#include·<dune/common/fmatrix.hh>
		22	·12
		23	·13#include·<dune/geometry/type.hh>
		24	·14#include·<dune/geometry/quadraturerules.hh>
		25	·15#include·<dune/localfunctions/common/localinterpolation.hh>
		26	·16
25	·15namespace·Dune	27	·17namespace·Dune
26	·16{	28	·18{
		29	·19
		30	·20·template<class·LB,·unsigned·int·size>
		31	21·class·MonomialLocalInterpolation


Offset 1, 15 lines modified		Offset 1, 15 lines modified
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">
2	<html·xmlns="http://www.w3.org/1999/xhtml">	2	<html·xmlns="http://www.w3.org/1999/xhtml">
3	<head>	3	<head>
4	<meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>	4	<meta·http-equiv="Content-Type"·content="text/xhtml;charset=UTF-8"/>
5	<meta·http-equiv="X-UA-Compatible"·content="IE=11"/>	5	<meta·http-equiv="X-UA-Compatible"·content="IE=11"/>
6	<meta·name="generator"·content="Doxygen·1.9.4"/>	6	<meta·name="generator"·content="Doxygen·1.9.4"/>
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:·~~raviartth~~omas0~~cube3d~~.hh·Source·File</title>	8	<title>dune-localfunctions:·monomiallocalbasis.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"/>
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"·
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_df07eea68ef4~~46be83c327~~1~~7b7e3~~4~~80c~~.html">~~raviartth~~omas</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_c2081a8a248ad2a90294516d63f42c40.html">monomial</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">~~raviartth~~omas0~~cube3d~~.hh</div></div>	68	··<div·class="headertitle"><div·class="title">monomiallocalbasis.hh</div></div>
69	</div><!--header-->	69	</div><!--header-->
70	<div·class="contents">	70	<div·class="contents">
71	<a·href="a00032.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="a00032.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_LOCALFUNCTIONS_~~RAVIARTTH~~OMA~~S0_CUBE3D_~~LOCAL~~FIN~~I~~TEELEMEN~~T_HH</span></div>	75	<div·class="line"><a·id="l00005"·name="l00005"></a><span·class="lineno">····5</span><span·class="preprocessor">#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH</span></div>
76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_~~RAVIARTTH~~OMA~~S0_CUBE3D_~~LOCAL~~FIN~~I~~TEELEMEN~~T_HH</span></div>	76	<div·class="line"><a·id="l00006"·name="l00006"></a><span·class="lineno">····6</span><span·class="preprocessor">#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_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·<~~dune/geome~~try/ty~~pe.hh~~></span></div>	78	<div·class="line"><a·id="l00008"·name="l00008"></a><span·class="lineno">····8</span><span·class="preprocessor">#include·<array></span></div>


Offset 4, 26 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	····*·raviartthomas
8	Classes·\|·Namespaces
9	raviartthomas~~1cube3d~~.hh·File·Reference	7	raviartthomas.hh·File·Reference
10	#include·<dune/geometry/type.hh>
11	#include·"../common/localfiniteelementtraits.hh"
12	#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh"
13	#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh"
14	#include·"~~raviartthomas1~~c~~ube3d~~/raviartthomas~~1cube3dl~~ocali~~nterp~~ola~~tion~~.hh"	8	#include·<dune/localfunctions/raviartthomas/raviartthomascube.hh>
		9	#include·<dune/localfunctions/raviartthomas/raviartthomassimplex.hh>
		10	#include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh>
		11	#include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh>
		12	#include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh>
		13	#include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh>
		14	#include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh>
		15	#include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh>
		16	#include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh>
		17	#include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh>
		18	#include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh>
		19	#include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh>
		20	#include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh>
15	Go_to_the_source_code_of_this_file.	21	Go_to_the_source_code_of_this_file.
16	·Classes
17	class· Dune::RT1Cube3DLocalFiniteElement<_D,_R_>
18	······First·order·Raviart-Thomas·shape·functions·on·cubes.·More...
19
20	·Namespaces
21	namespace· Dune
22

23	===============================================================================	22	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	23	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·raviartthomas
+raviartthomas.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_RAVIARTTHOMASFINITEELEMENT_HH
+·6#define·DUNE_RAVIARTTHOMASFINITEELEMENT_HH
+·7
+·8//·Raviart-Thomas·implementations·with·run-time·order
+·9#include·<dune/localfunctions/raviartthomas/raviartthomascube.hh>
+·10#include·<dune/localfunctions/raviartthomas/raviartthomassimplex.hh>
+·11
+·12//·Raviart-Thomas·implementations·with·compile-time·order
+·13#include·<dune/localfunctions/raviartthomas/raviartthomas02d.hh>
+·14#include·<dune/localfunctions/raviartthomas/raviartthomas12d.hh>
+·15#include·<dune/localfunctions/raviartthomas/raviartthomas03d.hh>
+·16#include·<dune/localfunctions/raviartthomas/raviartthomas0cube2d.hh>
+·17#include·<dune/localfunctions/raviartthomas/raviartthomas1cube2d.hh>
+·18#include·<dune/localfunctions/raviartthomas/raviartthomas2cube2d.hh>
+·19#include·<dune/localfunctions/raviartthomas/raviartthomas3cube2d.hh>
+·20#include·<dune/localfunctions/raviartthomas/raviartthomas0cube3d.hh>
+·21#include·<dune/localfunctions/raviartthomas/raviartthomas1cube3d.hh>
+·22#include·<dune/localfunctions/raviartthomas/raviartthomas0pyramid.hh>
+·23#include·<dune/localfunctions/raviartthomas/raviartthomas0prism.hh>
+·24
+·25#endif·//·#ifndef·DUNE_RAVIARTTHOMASFINITEELEMENT_HH
+·8#include·<dune/geometry/type.hh>
+·9
+·10#include·"../common/localfiniteelementtraits.hh"
+·11#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalbasis.hh"
+·12#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalcoefficients.hh"
+·13#include·"raviartthomas1cube3d/raviartthomas1cube3dlocalinterpolation.hh"
+·14
+·15namespace·Dune
+·16{
+·25·template<class·D,·class·R>
+·class·RT1Cube3DLocalFiniteElement
+·27·{
+·28
+·29·public:
+·30·typedef·LocalFiniteElementTraits<
+·31·RT1Cube3DLocalBasis<D,R>,
+·32·RT1Cube3DLocalCoefficients,
+·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·>·Traits;
+·34
+·RT1Cube3DLocalFiniteElement·()
+·37·{}
+·38
+·RT1Cube3DLocalFiniteElement·(int·s)·:
+·45·basis(s),
+·46·interpolation(s)
+·47·{}
+·48
+·const·typename·Traits::LocalBasisType&·localBasis·()·const
+·50·{
+·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::hexahedron;
+·73·}
+·74
+·75·private:
+·76·RT1Cube3DLocalBasis<D,R>·basis;
+·77·RT1Cube3DLocalCoefficients·coefficients;
+·78·RT1Cube3DLocalInterpolation<RT1Cube3DLocalBasis<D,R>·>·interpolation;
+·79·};
+·80}
+·81#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALFINITEELEMENT_HH
+raviartthomas1cube3d.hh
+raviartthomas0cube3d.hh
+raviartthomas2cube2d.hh
+raviartthomassimplex.hh
+Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
+arbitrary·dimension.
+raviartthomas3cube2d.hh
+raviartthomas1cube2d.hh
+raviartthomas0cube2d.hh
+raviartthomas0pyramid.hh
+raviartthomas02d.hh
+raviartthomas0prism.hh
+raviartthomascube.hh
+Convenience·header·that·includes·all·available·Raviart-Thomas·local·finite
+elements·for·cubes.
+raviartthomas03d.hh
+raviartthomas12d.hh
+raviartthomas1cube3dlocalinterpolation.hh
+raviartthomas1cube3dlocalcoefficients.hh
+Dune
+Definition:·bdfmcube.hh:18
+Dune::LocalFiniteElementTraits
+traits·helper·struct
+Definition:·localfiniteelementtraits.hh:13
+Dune::LocalFiniteElementTraits::LocalBasisType
+LB·LocalBasisType
+Definition:·localfiniteelementtraits.hh:16
+Dune::LocalFiniteElementTraits::LocalCoefficientsType
+LC·LocalCoefficientsType
+Definition:·localfiniteelementtraits.hh:20
+Dune::LocalFiniteElementTraits::LocalInterpolationType
+LI·LocalInterpolationType


Offset 4, 24 lines modified		Offset 4, 39 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·~~raviartth~~omas	7	····*·monomial
8	Classes·\|·Namespaces	8	Classes·\|·Namespaces
9	raviartthomas0cube3d.hh·File·Reference
10	#include·<dune/geometry/type.hh>
11	#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
12	#in~~clude·"r~~aviartthoma~~s0c~~ub~~e3d/r~~aviartth~~omas0cub~~e3d~~all.hh"~~	9	monomiallocalbasis.hh·File·Reference
		10	#include·<array>
		11	#include·<cassert>
		12	#include·<numeric>
		13	#include·<dune/common/fmatrix.hh>
		14	#include·<dune/common/math.hh>
		15	#include·"../common/localbasis.hh"
13	Go_to_the_source_code_of_this_file.	16	Go_to_the_source_code_of_this_file.
14	·Classes	17	·Classes
15	class· Dune::RT0Cube3DLocalFiniteElement<_D,_R_>
16	~~······Zero~~·~~order~~·~~Raviart-Th~~om~~as·s~~hap~~e·functions·on·~~cubes~~.·Mo~~r~~e...~~	18	·class· Dune::MonomImp::EvalAccess<_Traits_>
		19	·······Access·output·vector·of·evaluateFunction()·and·evaluate()·More...
		20
		21	·class· Dune::MonomImp::JacobianAccess<_Traits_>
		22	·······Access·output·vector·of·evaluateJacobian()·More...
		23
		24	struct· Dune::MonomImp::Evaluate<_Traits,_c_>
		25
		26	struct· Dune::MonomImp::Evaluate<_Traits,_1_>
		27
		28	·class· Dune::MonomialLocalBasis<_D,_R,_d,_p_>
		29	·······Constant·shape·function.·More...
17		30
18	·Namespaces	31	·Namespaces
19	namespace· Dune	32	namespace· Dune
20		33
		34	namespace· Dune::MonomImp
		35

21	===============================================================================	36	===============================================================================
22	·····Generated·by [doxygen]·1.9.4	37	·····Generated·by [doxygen]·1.9.4


Offset 4, 132 lines modified		Offset 4, 322 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
7	····*·raviartthomas
8	~~raviartth~~om~~as0cube3d.hh~~	7	····*·monomial
		8	monomiallocalbasis.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_RAVIARTTHOMAS0_CUBE3D_LOCALFINITEELEMENT_HH
16	·6#define·DUNE_LOCALFUNCTIONS_~~RAVIARTTH~~OMA~~S0_CUBE3D_~~LOCAL~~FIN~~I~~TEELEMEN~~T_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALBASIS_HH
17	·7	17	·7
18	·8#include·<dune/geometry/type.hh>
19	·9
20	·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
21	·11#include·"raviartthomas0cube3d/raviartthomas0cube3dall.hh"
22	·12	18	·8#include·<array>
		19	·9#include·<cassert>
		20	·10#include·<numeric>
		21	·11
		22	·12#include·<dune/common/fmatrix.hh>
		23	·13#include·<dune/common/math.hh>
		24	·14
		25	·15#include·"../common/localbasis.hh"
		26	·16
23	·13namespace·Dune	27	·17namespace·Dune
24	·14{	28	·18{
		29	19·namespace·MonomImp
25	·23·template<class·D,·class·R>
26	24·class·RT0Cube3DLocalFiniteElement
27	·25·{	30	·20·{
		31	·22·template·<typename·Traits>
		32	23·class·EvalAccess·{
		33	·24·std::vector<typename·Traits::RangeType>·&out;
		34	·25#ifndef·NDEBUG
		35	·26·unsigned·int·first_unused_index;
		36	·27#endif
		37	·28
28	·26·public:	38	·29·public:
		39	30·EvalAccess(std::vector<typename·Traits::RangeType>·&out_)
		40	·31·:·out(out_)
		41	·32#ifndef·NDEBUG
		42	·33·,·first_unused_index(0)
		43	·34#endif
29	·27·typedef·LocalFiniteElementTraits<
30	·28·RT0Cube3DLocalBasis<D,R>,
31	·29·RT0Cube3DLocalCoefficients,
32	30·RT0Cube3DLocalInterpolation<RT0Cube3DLocalBasis<D,R>·>·>·Traits;
33	·31
34	32·RT0Cube3DLocalFiniteElement·()
35	·33·{}	44	·35·{·}
		45	·36#ifndef·NDEBUG
		46	37·~EvalAccess()·{
		47	·38·assert(first_unused_index·==·out.size());
36	·34
37	35·RT0Cube3DLocalFiniteElement·(int·s)·:
38	·36·basis(s),
39	·37·interpolation(s)
40	·38·{}
41	·39
42	40·const·typename·Traits::LocalBasisType&·localBasis·()·const
43	·41·{
44	·42·return·basis;
45	·43·}	48	·39·}
46	·44
47	~~45·const~~·~~typ~~en~~ame·Traits::LocalCoeffi~~ci~~entsType&·localCoef~~f~~icients·()·const~~	49	·40#endif
		50	41·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
48	·46·{	51	·42·{
49	·47·return·co~~effici~~e~~nts~~;	52	·43·assert(index·<·out.size());
		53	·44#ifndef·NDEBUG
		54	·45·if(first_unused_index·<=·index)
		55	·46·first_unused_index·=·index+1;
		56	·47#endif
		57	·48·return·out[index][0];
50	·48·}	58	·49·}
		59	·50·};
51	·49
52	50·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
53	·51·{	60	·51
54	·52·return·interpolation;
55	·53·}
56	·54
57	56·unsigned·int·size·()·const
58	·57·{
59	·58·return·basis.size();
60	·59·}	61	·53·template·<typename·Traits>
		62	54·class·JacobianAccess·{
		63	·55·std::vector<typename·Traits::JacobianType>·&out;
		64	·56·unsigned·int·row;
		65	·57#ifndef·NDEBUG
		66	·58·unsigned·int·first_unused_index;
		67	·59#endif
61	·60	68	·60
62	61·~~stat~~ic·c~~onstexpr·GeometryType·type·(~~)	69	·61·public:
		70	62·JacobianAccess(std::vector<typename·Traits::JacobianType>·&out_,
		71	·63·unsigned·int·row_)
		72	·64·:·out(out_),·row(row_)
		73	·65#ifndef·NDEBUG
		74	·66·,·first_unused_index(0)
		75	·67#endif
		76	·68·{·}
		77	·69#ifndef·NDEBUG
		78	70·~JacobianAccess()·{
		79	·71·assert(first_unused_index·==·out.size());
		80	·72·}
		81	·73#endif
		82	74·typename·Traits::RangeFieldType·&operator[](unsigned·int·index)
		83	·75·{
		84	·76·assert(index·<·out.size());
		85	·77#ifndef·NDEBUG
		86	·78·if(first_unused_index·<=·index)
		87	·79·first_unused_index·=·index+1;
		88	·80#endif
		89	·81·return·out[index][0][row];
		90	·82·}
		91	·83·};
		92	·84
		93	·97·template·<typename·Traits,·int·c>
		94	98·struct·Evaluate
Max diff block lines reached; 5774/14172 bytes (40.74%) of diff not shown.


Offset 4, 27 lines modified		Offset 4, 24 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·monomial
7	····*·raviartthomas
8	····*·raviartthomas1cube3d
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces
10	raviartthomas1cube3dlocalbasis.hh·File·Reference
11	#include·~~<num~~eric>	9	monomiallocalcoefficients.hh·File·Reference
		10	#include·<cstddef>
12	#include·<vector>	11	#include·<vector>
13	#include·<dune/common/fmatrix.hh>
14	#include·"../~~../~~common/localba~~sis~~.hh"	12	#include·"../common/localkey.hh"
15	Go_to_the_source_code_of_this_file.	13	Go_to_the_source_code_of_this_file.
16	·Classes	14	·Classes
		15	class· Dune::MonomialLocalCoefficients<_static_size_>
		16	······Layout·map·for·monomial·finite·elements.·More...
17	class· Dune::RT1Cube3DLocalBasis<_D,_R_>
18	······First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.
19	········More...
20		17
21	·Namespaces	18	·Namespaces
22	namespace· Dune	19	namespace· Dune
23		20

24	===============================================================================	21	===============================================================================
25	·····Generated·by [doxygen]·1.9.4	22	·····Generated·by [doxygen]·1.9.4


Offset 4, 760 lines modified		Offset 4, 76 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·monomial
		8	monomiallocalcoefficients.hh
7	····*·raviartthomas
8	····*·raviartthomas1cube3d
9	raviartthomas1cube3dlocalbasis.hh
10	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
11	·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·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
15	·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
16	·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALBASIS_HH
17	·6#define·DUNE_LOCALFUNCTIONS_~~RAV~~IA~~RTTH~~OMA~~S1_~~C~~UBE3D_LO~~CAL~~BASI~~S_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_MONOMIAL_MONOMIALLOCALCOEFFICIENTS_HH
18	·7	17	·7
19	·8#include·<~~numeric~~>	18	·8#include·<cstddef>
20	·9#include·<vector>	19	·9#include·<vector>
21	·10	20	·10
22	·11#include·<d~~une~~/common/fma~~trix~~.hh>	21	·11#include·"../common/localkey.hh"
23	·12	22	·12
24	·13#include·"../../common/localbasis.hh"
25	·14
26	·15namespace·Dune	23	·13namespace·Dune
27	·16{	24	·14{
28	·26·template<class·D,·class·R>
29	~~27·class~~·RT1~~Cube3DLocalBasi~~s	25	·15
		26	·22·template<int·static_size>
		27	23·class·MonomialLocalCoefficients
30	·28·{	28	·24·{
31	·29
32	·30·public:	29	·25·public:
33	·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
34	FieldVector<R,3>,
35	32·Dune::FieldMa~~trix<R,3,3>·>~~·~~Trait~~s;	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	36	·33
		37	35·std::size_t·size·()·const
37	39·RT1Cube3DLocalBasis·(unsigned·int·s·=·0)
38	·40·{
39	·41·sign0·=·sign1·=·sign2·=·sign3·=·sign4·=·sign5·=·1.0;
40	·42·if·(s·&·1)
41	·43·{	38	·36·{
		39	·37·return·static_size;
42	·44·sign0·=·-1.0;
43	·45·}
44	·46·if·(s·&·2)
45	·47·{
46	·48·sign1·=·-1.0;
47	·49·}
48	·50·if·(s·&·4)
49	·51·{
50	·52·sign2·=·-1.0;
51	·53·}	40	·38·}
52	·54·if·(s·&·8)
53	·55·{
54	·56·sign3·=·-1.0;
55	·57·}
56	·58·if·(s·&·16)
57	·59·{
58	·60·sign4·=·-1.0;
59	·61·}
60	·62·if·(s·&·32)
61	·63·{
62	·64·sign5·=·-1.0;
63	·65·}
64	·66·}
65	·67
66	69·unsigned·int·size·()·const
67	·70·{
68	·71·return·36;
69	·72·}
70	·73
71	80·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
72	·81·std::vector<typename·Traits::RangeType>&·out)·const
73	·82·{
74	·83·out.resize(36);
75	·84
76	·85·out[0][0]·=·sign0(-3.0in[0]in[0]·+·4.0in[0]·-·1.0);
77	·86·out[0][1]·=·0.0;
78	·87·out[0][2]·=·0.0;
79	·88
80	·89·out[1][0]·=·sign1(-2.0in[0]·+·3.0in[0]in[0]);
81	·90·out[1][1]·=·0.0;
82	·91·out[1][2]·=·0.0;
83	·92
84	·93·out[2][0]·=·0.0;
85	·94·out[2][1]·=·sign2(-3.0in[1]in[1]·+·4.0in[1]·-·1.0);
86	·95·out[2][2]·=·0.0;
87	·96
88	·97·out[3][0]·=·0.0;
89	·98·out[3][1]·=·sign3(3.0in[1]in[1]·-·2.0in[1]);
90	·99·out[3][2]·=·0.0;
91	·100
92	·101·out[4][0]·=·0.0;
93	·102·out[4][1]·=·0.0;
94	·103·out[4][2]·=·sign4(-3.0in[2]in[2]·+·4.0in[2]·-·1.0);
95	·104
96	·105·out[5][0]·=·0.0;
97	·106·out[5][1]·=·0.0;
98	·107·out[5][2]·=·sign5(3.0in[2]in[2]·-·2.0in[2]);
99	·108
100	·109·out[6][0]·=·-18.0in[0]in[0]in[1]·+·9.0in[0]in[0]·+·24.0in[0]*in[1]·-
101	6.0in[1]·-12.0in[0]·+·3.0;
102	·110·out[6][1]·=·0.0;
103	·111·out[6][2]·=·0.0;
104	·112
105	·113·out[7][0]·=·-18.0in[0]in[0]in[1]·+·9.0in[0]in[0]·+·12.0in[0]*in[1]·-
106	6.0*in[0];
107	·114·out[7][1]·=·0.0;
108	·115·out[7][2]·=·0.0;
109	·116
110	·117·out[8][0]·=·0.0;
111	·118·out[8][1]·=·18.0in[0]in[1]in[1]·-·9.0in[1]in[1]·-·24.0in[0]*in[1]·+
112	12.0in[1]·+·6.0in[0]·-·3.0;
113	·119·out[8][2]·=·0.0;
114	·120
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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	····*·raviartthomas
8	····*·raviartthomas1cube3d
9	Classes·\|·Namespaces	7	Classes·\|·Namespaces
10	raviartthomas1cube3dlocalinterpolation.hh·File·Reference
11	#include·<vector>
12	~~#inc~~l~~ude·<du~~ne/g~~eom~~et~~ry/quadratur~~erules.~~hh>~~	8	lagrange.hh·File·Reference
		9	Convenience·header·that·includes·all·implementations·of·Lagrange·finite
		10	elements.·More...
		11	#include·<dune/localfunctions/utility/localfiniteelement.hh>
		12	#include·<dune/localfunctions/utility/dglocalcoefficients.hh>
		13	#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
13	#include·<dune/localfunctions/~~commo~~n~~/local~~interpolation.hh>	14	#include·<dune/localfunctions/lagrange/interpolation.hh>
		15	#include·<dune/localfunctions/lagrange/lagrangebasis.hh>
		16	#include·<dune/localfunctions/lagrange/lagrangecube.hh>
		17	#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
		18	#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
		19	#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
		20	#include·<dune/localfunctions/lagrange/p0.hh>
		21	#include·<dune/localfunctions/lagrange/pq22d.hh>
14	Go_to_the_source_code_of_this_file.	22	Go_to_the_source_code_of_this_file.
15	·Classes	23	·Classes
16	class· Dune::RT1Cube3DLocalInterpolation<_LB_>
17	~~······Fir~~s~~t·ord~~e~~r·R~~aviar~~t-Th~~oma~~s·shap~~e·~~functions·on·the·reference·hexahedron.~~	24	class· Dune::LagrangeLocalFiniteElement<_LP,_dimDomain,_D,_R,_SF,_CF_>
		25	······Lagrange·local·finite·elements·for·a·given·set·of·interpolation·points.
18	········More...	26	········More...
19		27
20	·Namespaces	28	·Namespaces
21	namespace· Dune	29	namespace· Dune
22		30
		31	***·Detailed·Description·***
		32	Convenience·header·that·includes·all·implementations·of·Lagrange·finite
		33	elements.

23	===============================================================================	34	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	35	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+lagrange.hh
+····*·raviartthomas
+····*·raviartthomas1cube3d
+raviartthomas1cube3dlocalinterpolation.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_RAVIARTTHOMAS1_CUBE3D_LOCALINTERPOLATION_HH
+·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
+·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
+·7
+·8#include·<vector>
+·9
+·12//·Headers·for·Lagrange·elements·with·run-time·order
+·13#include·<dune/localfunctions/utility/localfiniteelement.hh>
+·14#include·<dune/localfunctions/utility/dglocalcoefficients.hh>
+·15
+·16#include·<dune/localfunctions/lagrange/lagrangecoefficients.hh>
+·17#include·<dune/localfunctions/lagrange/interpolation.hh>
+·18#include·<dune/localfunctions/lagrange/lagrangebasis.hh>
+·19
+·20//·Headers·for·Lagrange·elements·with·compile-time·order
+·21#include·<dune/localfunctions/lagrange/lagrangecube.hh>
+·22#include·<dune/localfunctions/lagrange/lagrangepyramid.hh>
+·23#include·<dune/localfunctions/lagrange/lagrangeprism.hh>
+·24#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
+·25#include·<dune/localfunctions/lagrange/p0.hh>
+·26#include·<dune/localfunctions/lagrange/pq22d.hh>
+·27
+·28namespace·Dune
+·14{
+·23·template<class·LB>
+·class·RT1Cube3DLocalInterpolation
+·25·{
+·29{
+·59·template<·template·<class,unsigned·int>·class·LP,
+·60·unsigned·int·dimDomain,·class·D,·class·R,
+·61·class·SF=R,·class·CF=SF·>
+·class·LagrangeLocalFiniteElement
+·63·:·public·GenericLocalFiniteElement<·LagrangeBasisFactory<·LP,·dimDomain,
+SF,·CF·>,
+·64·LagrangeCoefficientsFactory<LP,·dimDomain,·SF·>,
+·65·LagrangeInterpolationFactory<·LP,·dimDomain,·SF·>·>
+·66·{
+·67·typedef·GenericLocalFiniteElement<_LagrangeBasisFactory<_LP,_dimDomain,_SF,
+CF_>,
+·68·LagrangeCoefficientsFactory<LP,_dimDomain,_SF_>,
+·69·LagrangeInterpolationFactory<_LP,_dimDomain,_SF_>·>·Base;
+·70·public:
+·typedef·typename·Base::Traits·Traits;
+·72
+·LagrangeLocalFiniteElement·(·const·GeometryType·&gt,·unsigned·int·order·)
+·76·:·Base(·gt,·order·)
+·77·{}
+·78·};
+·79}
+·80
+·81#endif·//·#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_HH
+lagrangebasis.hh
+lagrangeprism.hh
+p0.hh
+lagrangepyramid.hh
+lagrangecoefficients.hh
+lagrangesimplex.hh
+lagrangecube.hh
+pq22d.hh
+dglocalcoefficients.hh
+·28
+·RT1Cube3DLocalInterpolation·(std::bitset<6>·s·=·0)
+·35·{
+·36·for·(size_t·i=0;·i<6;·i++)
+·37·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
+·38
+·39·n_[0]·=·{-1.0,·0.0,·0.0};
+·40·n_[1]·=·{·1.0,·0.0,·0.0};
+·41·n_[2]·=·{·0.0,·-1.0,·0.0};
+·42·n_[3]·=·{·0.0,·1.0,·0.0};
+·43·n_[4]·=·{·0.0,·0.0,·-1.0};
+·44·n_[5]·=·{·0.0,·0.0,·1.0};
+·45·}
+·46
+·55·template<class·F,·class·C>
+·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
+·57·{
+·58·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
+·59·typedef·typename·LB::Traits::RangeFieldType·Scalar;
+·60·typedef·typename·LB::Traits::DomainFieldType·Vector;
+·61
+·62·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
+DomainType>(ff);
+·63
+·64·out.resize(36);
+·65·fill(out.begin(),·out.end(),·0.0);
+·66
+·67·const·int·qOrder·=·3;
+·68·const·auto&·rule1·=·QuadratureRules<Scalar,2>::rule(GeometryTypes::cube(2),
+qOrder);
+·69
+·70·for·(auto&&·qp·:·rule1)
+·71·{
+·72·Dune::FieldVector<Scalar,2>·qPos·=·qp.position();
+·73·typename·LB::Traits::DomainType·localPos;
+·74
+·75·localPos·=·{0.0,·qPos[0],·qPos[1]};
+·76·auto·y·=·f(localPos);
+·77·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*qp.weight()*sign_
+[0];
+·78·out[6]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·-
+.0)*qp.weight();
+·79·out[12]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[1]·-
+.0)*qp.weight();
+·80·out[18]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1]·+·y[2]*n_[0][2])*(2.0*qPos[0]·-
+.0)*(2.0*qPos[1]·-·1.0)*qp.weight();
+·81
+·82·localPos·=·{1.0,·qPos[0],·qPos[1]};
+·83·y·=·f(localPos);
+·84·out[1]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1]·+·y[2]*n_[1][2])*qp.weight()*sign_


Offset 4, 85 lines modified		Offset 4, 84 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·lagrange
		8	q2.hh
7	····*·raviartthomas
8	····*·raviartthomas1cube3d
9	raviartthomas1cube3dlocalcoefficients.hh
10	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
11	·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·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
15	·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
16	·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH
17	·6#define·DUNE_LOCALF~~UNCT~~ION~~S_RAV~~I~~ART~~T~~HOMAS1_CUB~~E~~3D_LOC~~ALCOE~~FFIC~~IENTS_HH	15	·5#ifndef·DUNE_Q2_LOCALFINITEELEMENT_HH
		16	·6#define·DUNE_Q2_LOCALFINITEELEMENT_HH
18	·7	17	·7
19	·8#include·<cstddef>
20	·9#include·<vector>	18	·8#include·<dune/common/typetraits.hh>
		19	·9#include·<dune/geometry/type.hh>
21	·10	20	·10
22	·11#include·"../../common/localkey.hh"
23	·12	21	·11#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
		22	·12#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
		23	·13
		24	·14#include·<dune/localfunctions/lagrange/lagrangecube.hh>
		25	·15#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
		26	·16
24	·13namespace·Dune	27	·17namespace·Dune
25	·14{	28	·18{
26	·15
27	~~23·class~~·~~RT1Cube3DLocalCoefficien~~ts	29	·20
		30	·25·template<class·Geometry,·class·RF>
		31	26·class·Q2FiniteElementFactory·:
		32	·27·public·ScalarLocalToGlobalFiniteElementAdaptorFactory<
		33	·28·typename·std::conditional<Geometry::mydimension·==·1,
		34	·29·LagrangeSimplexLocalFiniteElement<typename·Geometry::ctype,·RF,·1,·2>,
		35	·30·LagrangeCubeLocalFiniteElement<typename·Geometry::ctype,·RF,·Geometry::
		36	mydimension,·2>·>::type,
		37	·31·Geometry>
28	·24·{	38	·32·{
		39	·33·typedef·typename·std::conditional<Geometry::mydimension·==·1,
		40	·34·LagrangeSimplexLocalFiniteElement<typename_Geometry::ctype,_RF,_1,_2>,
		41	·35·LagrangeCubeLocalFiniteElement<typename_Geometry::ctype,_RF,_Geometry::
		42	mydimension,_2>·>::type·LFE;
		43	·36·typedef·ScalarLocalToGlobalFiniteElementAdaptorFactory<LFE,_Geometry>·Base;
29	·25
30	·26·public:
31	28·RT1Cube3DLocalCoefficients·()·:·li(36)
32	·29·{
33	·30·for·(std::size_t·i·=·0;·i·<·6;·i++)
34	·31·{
35	·32·li[i]·=·LocalKey(i,1,0);
36	·33·li[i·+·6]·=·LocalKey(i,1,1);
37	·34·li[i·+·12]·=·LocalKey(i,1,2);
38	·35·li[i·+·18]·=·LocalKey(i,1,3);
39	·36·}
40	·37	44	·37
41	·38·~~for·(~~st~~d::size~~_t·i·=·0~~;·i·<~~·~~12;~~·~~i++)~~	45	·38·static·const·LFE·lfe;
42	·39·{	46	·39
43	·40·li[i·+·24]·=·LocalKey(0,0,i);
44	·41·}
45	·42·}
46	·43
47	45·std::size_t·size·()·const
48	·46·{
49	·47·retur~~n·36;~~	47	·40·public:
		48	42·Q2FiniteElementFactory()·:·Base(lfe)·{}
		49	·43·};
		50	·44
		51	·45·template<class·Geometry,·class·RF>
		52	·46·const·typename·Q2FiniteElementFactory<Geometry,·RF>::LFE
		53	·47·Q2FiniteElementFactory<Geometry,·RF>::lfe;
50	·48·}	54	·48}
51	·49	55	·49
		56	·50#endif
		57	lagrangesimplex.hh
		58	lagrangecube.hh
		59	localfiniteelementtraits.hh
		60	localtoglobaladaptors.hh
52	51·const·LocalKey&·localKey·(std::size_t·i)·const
53	·52·{
54	·53·return·li[i];
55	·54·}
56	·55
57	·56·private:
58	·57·std::vector<LocalKey>·li;
59	·58·};
60	·59}
61	·60#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE3D_LOCALCOEFFICIENTS_HH
62	Dune	61	Dune
63	Definition:·bdfmcube.hh:18	62	Definition:·bdfmcube.hh:18
64	Dune::LocalKey
65	Describe·position·of·one·degree·of·freedom.
66	Definition:·localkey.hh:23
67	Dune::RT1Cube3DLocalCoefficients
68	Layout·map·for·Raviart-Thomas-1·elements·on·quadrilaterals.
69	Definition:·raviartthomas1cube3dlocalcoefficients.hh:24
70	Dune::RT1Cube3DLocalCoefficients::size
71	std::size_t·size()·const
72	number·of·coefficients
73	Definition:·raviartthomas1cube3dlocalcoefficients.hh:45
74	Dune::RT1Cube3DLocalCoefficients::RT1Cube3DLocalCoefficients
75	RT1Cube3DLocalCoefficients()
76	Standard·constructor.
77	Definition:·raviartthomas1cube3dlocalcoefficients.hh:28
78	Dune::RT1Cube3DLocalCoefficients::localKey
79	const·LocalKey·&·localKey(std::size_t·i)·const
80	get·i'th·index
81	Defin~~iti~~on:·raviar~~tthomas1cu~~b~~e3dloca~~lcoe~~fficients.hh:51~~	63	Dune::ScalarLocalToGlobalFiniteElementAdaptorFactory
		64	Factory·for·ScalarLocalToGlobalFiniteElementAdaptor·objects.
		65	Definition:·localtoglobaladaptors.hh:244
		66	Dune::LagrangeCubeLocalFiniteElement
		67	Lagrange·finite·element·for·cubes·with·arbitrary·compile-time·dimension·and
		68	polynomial·order.
		69	Definition:·lagrangecube.hh:711
		70	Dune::LagrangeSimplexLocalFiniteElement
		71	Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and
		72	polynomial·order.
		73	Definition:·lagrangesimplex.hh:838
		74	Dune::Q2FiniteElementFactory
		75	Factory·for·global-valued·Q23D·elements.
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+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·lagrange
+p1.hh
+····*·raviartthomas
+····*·raviartthomas2cube2d
+raviartthomas2cube2dlocalbasis.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_RAVIARTTHOMAS2_CUBE2D_LOCALBASIS_HH
+·5#ifndef·DUNE_P1LOCALFINITEELEMENT_HH
+·6#define·DUNE_P1LOCALFINITEELEMENT_HH
+·7
+·8#include·<numeric>
+·9#include·<vector>
+·10
+·11#include·<dune/common/fmatrix.hh>
+·12
+·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
+·9
+·10#warning·This·header·is·deprecated
+·11
+·12namespace·Dune
+·13{
+·14
+·15namespace·Dune
+·16{
+·22·template<class·D,·class·R,·int·dim>
+·using·P1LocalFiniteElement
+·24·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
+·25·=·LagrangeSimplexLocalFiniteElement<D,R,dim,1>;
+·class·RT2Cube2DLocalBasis
+·28·{
+·29
+·30·public:
+·31·typedef·LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::
+FieldVector<R,2>,
+·Dune::FieldMatrix<R,2,2>·>·Traits;
+·33
+·RT2Cube2DLocalBasis·(unsigned·int·s·=·0)
+·40·{
+·41·sign0·=·sign1·=·sign2·=·sign3·=·1.0;
+·42·if·(s·&·1)
+·43·{
+·44·sign0·=·-1.0;
+·45·}
+·46·if·(s·&·2)
+·47·{
+·48·sign1·=·-1.0;
+·49·}
+·50·if·(s·&·4)
+·51·{
+·52·sign2·=·-1.0;
+·53·}
+·54·if·(s·&·8)
+·55·{
+·56·sign3·=·-1.0;
+·57·}
+·58·}
+·59
+·unsigned·int·size·()·const
+·62·{
+·63·return·24;
+·64·}
+·65
+·inline·void·evaluateFunction·(const·typename·Traits::DomainType&·in,
+·73·std::vector<typename·Traits::RangeType>&·out)·const
+·74·{
+·75·out.resize(24);
+·76
+·77·out[0][0]·=·sign0*(-1.0·+·9.0*in[0]·-·18.0*in[0]*in[0]·+·10.0*in[0]*in
+[0]*in[0]);
+·78·out[0][1]·=·0.0;
+·79·out[1][0]·=·3.0·-·27.0*in[0]·-·6.0*in[1]·+·54.0*in[0]*in[1]·+·54.0*in[0]*in
+[0]·-·108.0*in[0]*in[0]*in[1]·-·30.0*in[0]*in[0]*in[0]·+·60.0*in[0]*in[0]*in
+[0]*in[1];
+·80·out[1][1]·=·0.0;
+·81·out[2][0]·=·sign0*(-5.0·+·45.0*in[0]·+·30.0*in[1]·-·270.0*in[0]*in[1]·-
+.0*in[0]*in[0]·-·30.0*in[1]*in[1]·+·540.0*in[0]*in[0]*in[1]·+·270.0*in[0]*in
+[1]*in[1]·+·50.0*in[0]*in[0]*in[0]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in
+[0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in[0]*in[0]*in[1]*in[1]);
+·82·out[2][1]·=·0.0;
+·83·out[3][0]·=·sign1*(3.0*in[0]·-·12.0*in[0]*in[0]·+·10.0*in[0]*in[0]*in[0]);
+·84·out[3][1]·=·0.0;
+·85·out[4][0]·=·9.0*in[0]·-·18.0*in[0]*in[1]·-·36.0*in[0]*in[0]·+·72.0*in[0]*in
+[0]*in[1]·+·30.0*in[0]*in[0]*in[0]·-·60.0*in[0]*in[0]*in[0]*in[1];
+·86·out[4][1]·=·0.0;
+·87·out[5][0]·=·sign1*(15.0*in[0]·-·90.0*in[0]*in[1]·-·60.0*in[0]*in[0]·+
+.0*in[0]*in[0]*in[1]·+·90.0*in[0]*in[1]*in[1]·+·50.0*in[0]*in[0]*in[0]·-
+.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in[0]*in[0]*in[0]*in[1]·+·300.0*in[0]*in
+[0]*in[0]*in[1]*in[1]);
+·88·out[5][1]·=·0.0;
+·89·out[6][0]·=·0.0;
+·90·out[6][1]·=·sign2*(-1.0·+·9.0*in[1]·-·18.0*in[1]*in[1]·+·10.0*in[1]*in
+[1]*in[1]);
+·91·out[7][0]·=·0.0;
+·92·out[7][1]·=·-3.0·+·6.0*in[0]·+·27.0*in[1]·-·54.0*in[0]*in[1]·-·54.0*in
+[1]*in[1]·+·108.0*in[0]*in[1]*in[1]·+·30.0*in[1]*in[1]*in[1]·-·60.0*in[0]*in
+[1]*in[1]*in[1];
+·93·out[8][0]·=·0.0;
+·94·out[8][1]·=·sign2*(-5.0·+·30.0*in[0]·+·45.0*in[1]·-·270.0*in[0]*in[1]·-
+.0*in[0]*in[0]·-·90.0*in[1]*in[1]·+·270.0*in[0]*in[0]*in[1]·+·540.0*in[0]*in
+[1]*in[1]·+·50.0*in[1]*in[1]*in[1]·-·540.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in
+[0]*in[1]*in[1]*in[1]·+·300.0*in[1]*in[1]*in[1]*in[0]*in[0]);
+·95·out[9][0]·=·0.0;
+·96·out[9][1]·=·sign3*(3.0*in[1]·-·12.0*in[1]*in[1]·+·10.0*in[1]*in[1]*in[1]);
+·97·out[10][0]·=·0.0;
+·98·out[10][1]·=·-9.0*in[1]·+·18.0*in[0]*in[1]·+·36.0*in[1]*in[1]·-·72.0*in
+[0]*in[1]*in[1]·-·30.0*in[1]*in[1]*in[1]·+·60.0*in[0]*in[1]*in[1]*in[1];
+·99·out[11][0]·=·0.0;
+·100·out[11][1]·=·sign3*(15.0*in[1]·-·90.0*in[0]*in[1]·-·60.0*in[1]*in[1]·+
+.0*in[0]*in[0]*in[1]·+·360.0*in[0]*in[1]*in[1]·+·50.0*in[1]*in[1]*in[1]·-
+.0*in[0]*in[0]*in[1]*in[1]·-·300.0*in[0]*in[1]*in[1]*in[1]·+·300.0*in[1]*in
+[1]*in[1]*in[0]*in[0]);
+·101·out[12][0]·=·324.0*in[0]·-1296.0*in[0]*in[1]·-·864.0*in[0]*in[0]·+
+.0*in[0]*in[0]*in[1]·+·1080.0*in[0]*in[1]*in[1]·+·540.0*in[0]*in[0]*in[0]·-
+.0*in[0]*in[0]*in[1]*in[1]·-·2160.0*in[0]*in[0]*in[0]*in[1]·+·1800.0*in
+[0]*in[0]*in[0]*in[1]*in[1];


Offset 4, 25 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	····*·lagrange
7	····*·raviartthomas
8	····*·raviartthomas2cube2d
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces·\|·Typedefs
10	~~raviartthomas2cu~~be2d~~localcoefficients~~.hh·File·Reference	9	pk2d.hh·File·Reference
11	#include·<cstddef>	10	#include·<cstddef>
12	#include·<vector>
13	#include·"~~../..~~/~~com~~mo~~n/localk~~ey.hh"	11	#include·<dune/geometry/type.hh>
		12	#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
		13	#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
		14	#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
14	Go_to_the_source_code_of_this_file.	15	Go_to_the_source_code_of_this_file.
15	·Classes	16	·Classes
16	class· Dune::RT2Cube2DLocalCoefficients
17	~~····~~··Lay~~out·map·for·Rav~~iart~~-Thomas-2~~·element~~s·on·quadrila~~teral~~s.·More...~~	17	·class· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_>
		18	·······Langrange·finite·element·of·arbitrary·order·on·triangles.·More...
		19
		20	struct· Dune::Pk2DFiniteElement<_Geometry,_RF,_k_>::Traits
		21
		22	struct· Dune::Pk2DFiniteElementFactory<_Geometry,_RF,_k_>
		23	·······Factory·for·Pk2DFiniteElement·objects.·More...
18		24
19	·Namespaces	25	·Namespaces
20	namespace· Dune	26	namespace· Dune
21		27
		28	·Typedefs
		29	template<class·D·,·class·R·,·unsigned·int·k>
		30	using Dune::Pk2DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
		31	·······2,·k·>
		32

22	===============================================================================	33	===============================================================================
23	·····Generated·by [doxygen]·1.9.4	34	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·lagrange
+pk2d.hh
+····*·raviartthomas
+····*·raviartthomas2cube2d
+raviartthomas2cube2dlocalcoefficients.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_RAVIARTTHOMAS2_CUBE2D_LOCALCOEFFICIENTS_HH
+·5#ifndef·DUNE_PK2DLOCALFINITEELEMENT_HH
+·6#define·DUNE_PK2DLOCALFINITEELEMENT_HH
+·7
+·8#include·<cstddef>
+·9#include·<vector>
+·10
+·11#include·"../../common/localkey.hh"
+·9
+·10#include·<dune/geometry/type.hh>
+·11
+·12#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
+·13#include·<dune/localfunctions/common/localtoglobaladaptors.hh>
+·14#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
+·15
+·16#warning·This·header·is·deprecated
+·17
+·18namespace·Dune
+·19{
+·class·RT2Cube2DLocalCoefficients
+·23·{
+·20
+·25·template<class·D,·class·R,·unsigned·int·k>
+·using·Pk2DLocalFiniteElement
+·27·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
+·28·=·LagrangeSimplexLocalFiniteElement<D,R,2,k>;
+·29
+·30
+·32
+·39·template<class·Geometry,·class·RF,·std::size_t·k>
+·class·Pk2DFiniteElement·{
+·41·typedef·typename·Geometry::ctype·DF;
+·42·typedef·Impl::LagrangeSimplexLocalBasis<DF,RF,2,k>·LocalBasis;
+·43·typedef·Impl::LagrangeSimplexLocalInterpolation<LocalBasis>
+LocalInterpolation;
+·44
+·45·public:
+·struct·Traits·{
+·typedef·ScalarLocalToGlobalBasisAdaptor<LocalBasis,_Geometry>·Basis;
+·51·typedef·LocalToGlobalInterpolationAdaptor<
+·52·LocalInterpolation,
+·53·typename·Basis::Traits
+·>·Interpolation;
+·typedef·Impl::LagrangeSimplexLocalCoefficients<2,k>·Coefficients;
+·RT2Cube2DLocalCoefficients·()·:·li(24)
+·28·{
+·29·for·(std::size_t·i·=·0;·i·<·4;·i++)
+·30·{
+·31·li[3*i]·=·LocalKey(i,1,0);
+·32·li[3*i·+·1]·=·LocalKey(i,1,1);
+·33·li[3*i·+·2]·=·LocalKey(i,1,2);
+·34·}
+·35
+·36·for·(std::size_t·i=0;·i<12;·i++)
+·37·{
+·38·li[12·+·i]·=·LocalKey(0,0,i);
+·39·}
+·40·}
+·41
+·std::size_t·size·()·const
+·44·{
+·45·return·24;
+·46·}
+·47
+·const·LocalKey&·localKey·(std::size_t·i)·const
+·50·{
+·51·return·li[i];
+·52·}
+·53
+·54·private:
+·55·std::vector<LocalKey>·li;
+·56·};
+·57
+·58·private:
+·59·static·const·GeometryType·gt;
+·60·static·const·LocalBasis·localBasis;
+·61·static·const·LocalInterpolation·localInterpolation;
+·62
+·63·typename·Traits::Basis·basis_;
+·64·typename·Traits::Interpolation·interpolation_;
+·65·typename·Traits::Coefficients·coefficients_;
+·66
+·67·public:
+·69
+·82·template<class·VertexOrder>
+·Pk2DFiniteElement(const·Geometry·&geometry,
+·84·const·VertexOrder&·vertexOrder)·:
+·85·basis_(localBasis,·geometry),·interpolation_(localInterpolation),
+·86·coefficients_(vertexOrder.begin(0,·0))
+·87·{·}
+·88
+·const·typename·Traits::Basis&·basis()·const·{·return·basis_;·}
+·const·typename·Traits::Interpolation&·interpolation()·const
+·91·{·return·interpolation_;·}
+·const·typename·Traits::Coefficients&·coefficients()·const
+·93·{·return·coefficients_;·}
+·const·GeometryType·&type()·const·{·return·gt;·}
+·95·};
+·96
+·97·template<class·Geometry,·class·RF,·std::size_t·k>
+·98·const·GeometryType
+·99·Pk2DFiniteElement<Geometry,·RF,·k>::gt(GeometryTypes::simplex(2));
+·100
+·101·template<class·Geometry,·class·RF,·std::size_t·k>
+·102·const·typename·Pk2DFiniteElement<Geometry,·RF,·k>::LocalBasis
+·103·Pk2DFiniteElement<Geometry,·RF,·k>::localBasis·=·LocalBasis();
+·104
+·105·template<class·Geometry,·class·RF,·std::size_t·k>
+·106·const·typename·Pk2DFiniteElement<Geometry,·RF,·k>::LocalInterpolation


Offset 4, 26 lines modified		Offset 4, 23 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·lagrange
		8	Namespaces·\|·Typedefs
		9	pk3d.hh·File·Reference
		10	#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
7	····*·raviartthomas
8	····*·raviartthomas2cube2d
9	Classes·\|·Namespaces
10	raviartthomas2cube2dlocalinterpolation.hh·File·Reference
11	#include·<vector>
12	#include·<dune/geometry/quadraturerules.hh>
13	#include·<dune/localfunctions/common/localinterpolation.hh>
14	Go_to_the_source_code_of_this_file.	11	Go_to_the_source_code_of_this_file.
15	·Classes
16	class· Dune::RT2Cube2DLocalInterpolation<_LB_>
17	······Second·order·Raviart-Thomas·shape·functions·on·the·reference·triangle.
18	········More...
19
20	·Namespaces	12	·Namespaces
21	namespace· Dune	13	namespace· Dune
22		14
		15	·Typedefs
		16	template<class·D·,·class·R·,·unsigned·int·k>
		17	using Dune::Pk3DLocalFiniteElement·=·LagrangeSimplexLocalFiniteElement<·D,·R,
		18	·······3,·k·>
		19

23	===============================================================================	20	===============================================================================
24	·····Generated·by [doxygen]·1.9.4	21	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·lagrange
+pk3d.hh
+····*·raviartthomas
+····*·raviartthomas2cube2d
+raviartthomas2cube2dlocalinterpolation.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_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH
+·5#ifndef·DUNE_Pk3DLOCALFINITEELEMENT_HH
+·6#define·DUNE_Pk3DLOCALFINITEELEMENT_HH
+·7
+·8#include·<dune/localfunctions/lagrange/lagrangesimplex.hh>
+·9
+·10#warning·This·header·is·deprecated
+·11
+·10#include·<dune/geometry/quadraturerules.hh>
+·11#include·<dune/localfunctions/common/localinterpolation.hh>
+·12
+·12namespace·Dune
+·13{
+·14
+·19·template<class·D,·class·R,·unsigned·int·k>
+·using·Pk3DLocalFiniteElement
+·21·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
+·22·=·LagrangeSimplexLocalFiniteElement<D,R,3,k>;
+·23
+·15
+·24·template<class·LB>
+·class·RT2Cube2DLocalInterpolation
+·26·{
+·27
+·28·public:
+·29
+·RT2Cube2DLocalInterpolation·(std::bitset<4>·s·=·0)
+·36·{
+·37·for·(size_t·i=0;·i<4;·i++)
+·38·sign_[i]·=·(s[i])·?·-1.0·:·1.0;
+·39
+·40·n_[0]·=·{-1.0,·0.0};
+·41·n_[1]·=·{·1.0,·0.0};
+·42·n_[2]·=·{·0.0,·-1.0};
+·43·n_[3]·=·{·0.0,·1.0};
+·44·}
+·45
+·54·template<typename·F,·typename·C>
+·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
+·56·{
+·57·//·f·gives·v*outer·normal·at·a·point·on·the·edge!
+·58·typedef·typename·LB::Traits::RangeFieldType·Scalar;
+·59·typedef·typename·LB::Traits::DomainFieldType·Vector;
+·60
+·61·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
+DomainType>(ff);
+·62
+·63·out.resize(24);
+·64·fill(out.begin(),·out.end(),·0.0);
+·65
+·66·const·int·qOrder·=·6;
+·67·const·auto&·rule1·=·QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1),
+qOrder);
+·68
+·69·for·(auto&&·qp·:·rule1)
+·70·{
+·71·Scalar·qPos·=·qp.position();
+·72·typename·LB::Traits::DomainType·localPos;
+·73
+·74·localPos·=·{0.0,·qPos};
+·75·auto·y·=·f(localPos);
+·76·out[0]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*qp.weight()*sign_[0];
+·77·out[1]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(2.0*qPos·-·1.0)*qp.weight();
+·78·out[2]·+=·(y[0]*n_[0][0]·+·y[1]*n_[0][1])*(6.0*qPos*qPos·-·6.0*qPos·+
+.0)*qp.weight()*sign_[0];
+·79
+·80·localPos·=·{1.0,·qPos};
+·81·y·=·f(localPos);
+·82·out[3]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*qp.weight()*sign_[1];
+·83·out[4]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(1.0·-·2.0*qPos)*qp.weight();
+·84·out[5]·+=·(y[0]*n_[1][0]·+·y[1]*n_[1][1])*(6.0*qPos*qPos·-·6.0*qPos·+
+.0)*qp.weight()*sign_[1];
+·85
+·86·localPos·=·{qPos,·0.0};
+·87·y·=·f(localPos);
+·88·out[6]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*qp.weight()*sign_[2];
+·89·out[7]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(1.0·-·2.0*qPos)*qp.weight();
+·90·out[8]·+=·(y[0]*n_[2][0]·+·y[1]*n_[2][1])*(6.0*qPos*qPos·-·6.0*qPos·+
+.0)*qp.weight()*sign_[2];
+·91
+·92·localPos·=·{qPos,·1.0};
+·93·y·=·f(localPos);
+·94·out[9]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*qp.weight()*sign_[3];
+·95·out[10]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(2.0*qPos·-·1.0)*qp.weight();
+·96·out[11]·+=·(y[0]*n_[3][0]·+·y[1]*n_[3][1])*(6.0*qPos*qPos·-·6.0*qPos·+
+.0)*qp.weight()*sign_[3];
+·97·}
+·98
+·99·const·auto&·rule2·=·QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2),
+qOrder);
+·100
+·101·for·(auto&&·qp·:·rule2)
+·102·{
+·103·FieldVector<double,2>·qPos·=·qp.position();
+·104
+·105·auto·y·=·f(qPos);
+·106·out[12]·+=·y[0]*qp.weight();
+·107·out[13]·+=·y[1]*qp.weight();
+·108·out[14]·+=·y[0]*qPos[0]*qp.weight();
+·109·out[15]·+=·y[1]*qPos[0]*qp.weight();
+·110·out[16]·+=·y[0]*qPos[1]*qp.weight();
+·111·out[17]·+=·y[1]*qPos[1]*qp.weight();
+·112·out[18]·+=·y[0]*qPos[0]*qPos[1]*qp.weight();
+·113·out[19]·+=·y[1]*qPos[0]*qPos[1]*qp.weight();
+·114·out[20]·+=·y[0]*qPos[1]*qPos[1]*qp.weight();
+·115·out[21]·+=·y[1]*qPos[0]*qPos[0]*qp.weight();
+·116·out[22]·+=·y[0]*qPos[0]*qPos[1]*qPos[1]*qp.weight();
+·117·out[23]·+=·y[1]*qPos[0]*qPos[0]*qPos[1]*qp.weight();
+·118·}


Offset 4, 75 lines modified		Offset 4, 52 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·lagrange
		8	lagrangebasis.hh
7	····*·raviartthomas
8	····*·raviartthomas0pyramid
9	raviartthomas0pyramidlocalcoefficients.hh
10	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
11	·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·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
15	·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
16	·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH
17	·6#define·DUNE_LOCA~~LFUNCTIONS~~_R~~AVI~~ART~~THOM~~AS~~0_PYRAMID_LOCALCOEFFIC~~I~~ENT~~S_HH	15	·5#ifndef·DUNE_LAGRANGEBASIS_HH
		16	·6#define·DUNE_LAGRANGEBASIS_HH
18	·7	17	·7
19	·8#include·<cst~~ddef~~>	18	·8#include·<fstream>
20	·9#include·<vector>	19	·9#include·<dune/common/exceptions.hh>
21	·10	20	·10
22	·11#include·"../../common/localkey.hh"
23	·12
24	·13namespace·Dune
25	·14{	21	·11#include·<dune/localfunctions/utility/defaultbasisfactory.hh>
		22	·12#include·<dune/localfunctions/utility/monomialbasis.hh>
		23	·13
		24	·14#include·<dune/localfunctions/lagrange/interpolation.hh>
26	·15	25	·15
		26	·16namespace·Dune
		27	·17{
		28	·18
		29	·19·template<·template·<class,unsigned·int>·class·LP,
		30	·20·unsigned·int·dim,·class·SF,·class·CF·>
		31	21·struct·LagrangeBasisFactory
		32	·22·:·public·DefaultBasisFactory<·MonomialBasisFactory<dim,CF>,
		33	·23·LagrangeInterpolationFactory<LP,dim,CF>,
		34	·24·dim,1,SF,CF·>
		35	·25·{};
		36	·26
		37	·27}
		38	·28
		39	·29#endif·//·#ifndef·DUNE_LAGRANGEBASIS_HH
		40	monomialbasis.hh
		41	defaultbasisfactory.hh
27	23·class·RT0PyramidLocalCoefficients
28	·24·{
29	·25
30	·26·public:
31	28·RT0PyramidLocalCoefficients·()·:·li(size())
32	·29·{
33	·30·for(int·i=0;·i<·size();·i++)
34	·31·li[i]·=·LocalKey(i,1,0);
35	·32·}
36	·33
37	35·std::size_t·size·()·const
38	·36·{
39	·37·return·5;
40	·38·}
41	·39
42	41·const·LocalKey&·localKey·(std::size_t·i)·const
43	·42·{
44	·43·return·li[i];
45	·44·}
46	·45
47	·46·private:
48	·47·std::vector<LocalKey>·li;
49	·48·};
50	·49}
51	·50#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALCOEFFICIENTS_HH
52	Dune	42	Dune
53	Definition:·bdfmcube.hh:18	43	Definition:·bdfmcube.hh:18
		44	Dune::LagrangeBasisFactory
		45	Definition:·lagrangebasis.hh:25
		46	Dune::DefaultBasisFactory
		47	Definition:·defaultbasisfactory.hh:38
		48	interpolation.hh
54	Dune::LocalKey
55	Describe·position·of·one·degree·of·freedom.
56	Definition:·localkey.hh:23
57	Dune::RT0PyramidLocalCoefficients
58	Layout·map·for·Raviart-Thomas-1·elements·on·pyramids.
59	Definition:·raviartthomas0pyramidlocalcoefficients.hh:24
60	Dune::RT0PyramidLocalCoefficients::localKey
61	const·LocalKey·&·localKey(std::size_t·i)·const
62	get·i'th·index
63	Definition:·raviartthomas0pyramidlocalcoefficients.hh:41
64	Dune::RT0PyramidLocalCoefficients::RT0PyramidLocalCoefficients
65	RT0PyramidLocalCoefficients()
66	Standard·constructor.
67	Definition:·raviartthomas0pyramidlocalcoefficients.hh:28
68	Dune::RT0PyramidLocalCoefficients::size
69	std::size_t·size()·const
70	number·of·coefficients
71	Definition:·raviartthomas0pyramidlocalcoefficients.hh:35

72	===============================================================================	49	===============================================================================
73	·····Generated·by [doxygen]·1.9.4	50	·····Generated·by [doxygen]·1.9.4

+dune-localfunctions 2.9.0
+····*·dune
+····*·localfunctions
+····*·lagrange
+pk.hh
+····*·raviartthomas
+····*·raviartthomas0pyramid
+raviartthomas0pyramidlocalinterpolation.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/*·vim:·set·ai·expandtab·sw=4·ts=4:·*/
+·4//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
+LICENSE.md·in·module·root
+·5//·SPDX-License-Identifier:·LicenseRef-GPL-2.0-only-with-DUNE-exception
+·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH
+·6#define·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH
+·7
+·8#include·<vector>
+·9
+·10#include·<dune/localfunctions/common/localinterpolation.hh>
+·6#ifndef·DUNE_PK_LOCALFINITEELEMENT_HH
+·7#define·DUNE_PK_LOCALFINITEELEMENT_HH
+·8
+·9#include<dune/localfunctions/lagrange/lagrangesimplex.hh>
+·10
+·11#warning·This·header·is·deprecated
+·12
+·13namespace·Dune
+·14{
+·18·template<class·D,·class·R,·int·d,·int·k>
+·using·PkLocalFiniteElement
+·20·[[deprecated("use·LagrangeSimplexLocalFiniteElement·instead")]]
+·21·=·LagrangeSimplexLocalFiniteElement<D,_R,_d,_k>;
+·22}
+·23
+·24#endif
+lagrangesimplex.hh
+·22·template<class·LB>
+·class·RT0PyramidLocalInterpolation
+·24·{
+·25
+·26·public:
+·27
+·RT0PyramidLocalInterpolation·(std::bitset<5>·s·=·0)
+·34·{
+·35·typedef·typename·LB::Traits::RangeFieldType·Scalar;
+·36
+·37·for·(size_t·i=0;·i<5;·i++)
+·38·sign[i]·=·(s[i])·?·-1.0·:·1.0;
+·39
+·40·Scalar·r·=·1/std::sqrt(2);
+·41
+·42·n[0]·=·{·0.0,·0.0,·-1.0};
+·43·n[1]·=·{-1.0,·0.0,·0.0};
+·44·n[2]·=·{·r,·0.0,·r};
+·45·n[3]·=·{·0.0,·-1.0,·0.0};
+·46·n[4]·=·{·0.0,·r,·r};
+·47
+·48·c[0]·=·1.0;
+·49·c[1]·=·1/2.0;
+·50·c[2]·=·1/2.0·*·std::sqrt(2);
+·51·c[3]·=·1/2.0;
+·52·c[4]·=·1/2.0·*·std::sqrt(2);
+·53
+·54·m[0]·=·{·0.5,·0.5,·0.0};
+·55·m[1]·=·{·0.0,·1/3.0,·1/3.0};
+·56·m[2]·=·{·2/3.0,·1/3.0,·1/3.0};
+·57·m[3]·=·{·1/3.0,·0.0,·1/3.0};
+·58·m[4]·=·{·1/3.0,·2/3.0,·1/3.0};
+·59·}
+·60
+·69·template<class·F,·class·C>
+·void·interpolate·(const·F&·ff,·std::vector<C>&·out)·const
+·71·{
+·72·auto&&·f·=·Impl::makeFunctionWithCallOperator<typename·LB::Traits::
+DomainType>(ff);
+·73
+·74·out.resize(5);
+·75·for(int·i=0;·i<5;·i++)
+·76·out[i]·=·f(m[i]).dot(n[i])·*·c[i]·*·sign[i];
+·77·}
+·78
+·79·private:
+·80·//·Facet·orientations
+·81·std::array<typename·LB::Traits::RangeFieldType,·5>·sign;
+·82·//·Facet·area
+·83·std::array<typename·LB::Traits::RangeFieldType,·5>·c;
+·84
+·85·//·Facet·normals
+·86·std::array<typename·LB::Traits::DomainType,·5>·n;
+·87·//·Facet·midpoints
+·88·std::array<typename·LB::Traits::DomainType,·5>·m;
+·89·};
+·90}
+·91#endif·//·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALINTERPOLATION_HH
+Dune
+Definition:·bdfmcube.hh:18
+Dune::LagrangeSimplexLocalFiniteElement
+Lagrange·finite·element·for·simplices·with·arbitrary·compile-time·dimension·and
+polynomial·order.
+Definition:·lagrangesimplex.hh:838
+Dune::RT0PyramidLocalInterpolation
+First·order·Raviart-Thomas·shape·functions·on·the·reference·hexahedron.
+Definition:·raviartthomas0pyramidlocalinterpolation.hh:24
+Dune::RT0PyramidLocalInterpolation::interpolate
+void·interpolate(const·F·&ff,·std::vector<·C·>·&out)·const
+Interpolate·a·given·function·with·shape·functions.
+Definition:·raviartthomas0pyramidlocalinterpolation.hh:70
+Dune::RT0PyramidLocalInterpolation::RT0PyramidLocalInterpolation
+RT0PyramidLocalInterpolation(std::bitset<·5·>·s=0)
+Make·set·number·s,·where·0·<=·s·<·32.
+Definition:·raviartthomas0pyramidlocalinterpolation.hh:33
+localinterpolation.hh
+===============================================================================
+·····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	····*·lagrange
7	····*·raviartthomas
8	····*·raviartthomas0pyramid
9	Classes·\|·Namespaces	8	Classes·\|·Namespaces
10	raviar~~tthom~~a~~s0py~~rami~~dlocalba~~sis.hh·File·Reference	9	lagrangeprism.hh·File·Reference
		10	#include·<array>
11	#include·<numeric>	11	#include·<numeric>
12	#include·<vector>
13	#include·<dune/common/fmatrix.hh>	12	#include·<dune/common/fmatrix.hh>
14	#include·"~~../..~~/common/~~localbasis~~.hh"	13	#include·<dune/common/fvector.hh>
		14	#include·<dune/common/math.hh>
		15	#include·<dune/geometry/referenceelements.hh>
		16	#include·<dune/localfunctions/common/localbasis.hh>
		17	#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
		18	#include·<dune/localfunctions/common/localinterpolation.hh>
		19	#include·<dune/localfunctions/common/localkey.hh>
15	Go_to_the_source_code_of_this_file.	20	Go_to_the_source_code_of_this_file.
16	·Classes	21	·Classes
17	class· Dune::RT0PyramidLocalBasis<_D,_R_>
18	······First·order·Raviart-Thomas·shape·functions·on·the·reference·pyramid.
19	·~~·······M~~ore~~...~~	22	class· Dune::LagrangePrismLocalFiniteElement<_D,_R,_k_>
		23	······Lagrange·finite·element·for·3d·prisms·with·arbitrary·compile-time
		24	········polynomial·order.·More...
20		25
21	·Namespaces	26	·Namespaces
22	namespace· Dune	27	namespace· Dune
23		28

24	===============================================================================	29	===============================================================================
25	·····Generated·by [doxygen]·1.9.4	30	·····Generated·by [doxygen]·1.9.4


Offset 4, 161 lines modified		Offset 4, 726 lines modified


4	dune-localfunctions 2.9.0	4	dune-localfunctions 2.9.0


5	····*·dune	5	····*·dune
6	····*·localfunctions	6	····*·localfunctions
		7	····*·lagrange
		8	lagrangeprism.hh
7	····*·raviartthomas
8	····*·raviartthomas0pyramid
9	raviartthomas0pyramidlocalbasis.hh
10	Go_to_the_documentation_of_this_file.	9	Go_to_the_documentation_of_this_file.
11	·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·--
12	·2//·vi:·set·et·ts=4·sw=2·sts=2:	11	·2//·vi:·set·et·ts=4·sw=2·sts=2:
13	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file	12	·3//·SPDX-FileCopyrightInfo:·Copyright·(C)·DUNE·Project·contributors,·see·file
14	LICENSE.md·in·module·root	13	LICENSE.md·in·module·root
15	·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
16	·5#ifndef·DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS0_PYRAMID_LOCALBASIS_HH
17	·6#define·DUNE_LOCALFUNCTIONS_RAVIAR~~TTHOM~~A~~S0_P~~YRA~~MID_LOCALBA~~SIS_HH	15	·5#ifndef·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPRISM_HH
		16	·6#define·DUNE_LOCALFUNCTIONS_LAGRANGE_LAGRANGEPRISM_HH
18	·7	17	·7
		18	·8#include·<array>
19	·8#include·<numeric>	19	·9#include·<numeric>
20	·9#include·<vector>
21	·10	20	·10
22	·11#include·<dune/common/fmatrix.hh>	21	·11#include·<dune/common/fmatrix.hh>
23	·12
24	·13#include·"~~../..~~/common/~~localbasis~~.hh"	22	·12#include·<dune/common/fvector.hh>
		23	·13#include·<dune/common/math.hh>
25	·14	24	·14
26	·15name~~spa~~ce~~·Du~~ne	25	·15#include·<dune/geometry/referenceelements.hh>
27	·16{	26	·16
28	·26·template<class·D,·class·R>
29	27·class·RT0PyramidLocalBasis
30	·28·{
31	·29	27	·17#include·<dune/localfunctions/common/localbasis.hh>
		28	·18#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
		29	·19#include·<dune/localfunctions/common/localinterpolation.hh>
		30	·20#include·<dune/localfunctions/common/localkey.hh>
		31	·21
		32	·22namespace·Dune·{·namespace·Impl
		33	·23{
		34	·33·template<class·D,·class·R,·unsigned·int·k>
		35	·34·class·LagrangePrismLocalBasis
		36	·35·{
		37	·36·static·constexpr·std::size_t·dim·=·3;
32	·30·public:	38	·37·public:
33	·31·typedef·LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,3,Dune::
34	FieldVector<R,3>,
35	32·Dune::FieldMatrix<R,3,3>·>·Traits;
36	·33
37	39·~~RT0PyramidLocalBa~~si~~s·(std::b~~i~~tse~~t~~<5>·~~s·=~~·0)~~	39	·38·using·Traits·=
		40	LocalBasisTraits<D,dim,FieldVector<D,dim>,R,1,FieldVector<R,1>,FieldMatrix<R,1,dim>
		41	>;
		42	·39
		43	·42·static·constexpr·unsigned·int·size·()
38	·40·{	44	·43·{
		45	·44·return·binomial(k+2,2u)·*·(k+1);
39	·41·for·(size_t·i=0;·i<size();·i++)
40	·42·sign[i]·=·s[i]·?·-1.0·:·1.0;
41	·43·}	46	·45·}
		47	·46
42	·44
43	46·unsigned·int·size·()·const
44	·47·{
45	·48·return·5;
46	·49·}
47	·50
48	57·~~inli~~ne·void·evaluateFunction·(const·typename·Traits::DomainType&·in,	48	·48·void·evaluateFunction(const·typename·Traits::DomainType&·in,
49	·58·std::vector<typename·Traits::RangeType>&·out)·const	49	·49·std::vector<typename·Traits::RangeType>&·out)·const
50	·59·{	50	·50·{
		51	·51·out.resize(size());
		52	·52
		53	·53·//·Specialization·for·zero-order·case
		54	·54·if·(k==0)
		55	·55·{
51	·60·out.resize(5);
52	·61·for·(std::size_t·i=0;·i<out.size();·i++)
53	·62·out[i]·=·{0.0,0.0,0.0};
54	·63
55	·64·out[0][0]·=·1.5*in[0];
56	·65·out[0][1]·=·1.5*in[1];
57	·66·out[0~~][2~~]·=·-1.0;	56	·56·out[0]·=·1;
58	·67
59	·68·out[1][0]·=·-2.0·+·3.0*in[0];
60	·69
61	·70·out~~[2][0]·=·3.0~~*in~~[0]~~;	57	·57·return;
		58	·58·}
		59	·59
		60	·60·if·(k==1)
		61	·61·{
		62	·62·out[0]·=·(1.0-in[0]-in[1])*(1.0-in[2]);
		63	·63·out[1]·=·in[0]*(1-in[2]);
		64	·64·out[2]·=·in[1]*(1-in[2]);
		65	·65·out[3]·=·in[2]*(1.0-in[0]-in[1]);
		66	·66·out[4]·=·in[0]*in[2];
		67	·67·out[5]·=·in[1]*in[2];
		68	·68
		69	·69·return;
		70	·70·}
62	·71	71	·71
63	·72·~~out[3][1]·~~=·-2~~.0·+·3.0*in[1]~~;	72	·72·if·(k==2)
64	·73	73	·73·{
65	·74·out[4][1]·=·3.0*in[1];
66	·75
67	·76·for·(std::size_t·i=0;·i<out.size();·i++)
68	·77·o~~ut[i]·*=~~·sign[i];	74	·74·FieldVector<R,k+1>·segmentShapeFunction;
		75	·75·segmentShapeFunction[0]·=·1·+·in[2]··(-3·+·2in[2]);
		76	·76·segmentShapeFunction[1]·=·in[2]··(4·-·4in[2]);
		77	·77·segmentShapeFunction[2]·=·in[2]··(-1·+·2in[2]);
69	·78	78	·78
70	·79·}
71	·80
72	87·inline·void·evaluateJacobian·(const·typename·Traits::DomainType&·in,
73	·88·std::vector<typename·Traits::JacobianType>&·out)·const
74	·89·{
75	·90·out.re~~siz~~e~~(5)~~;	79	·79·FieldVector<R,·6>·triangleShapeFunction;
		80	·80·triangleShapeFunction[0]·=·2··(1·-·in[0]·-·in[1])··(0.5·-·in[0]·-·in[1]);
		81	·81·triangleShapeFunction[1]·=·2··in[0]··(-0.5·+·in[0]);
		82	·82·triangleShapeFunction[2]·=·2··in[1]··(-0.5·+·in[1]);
		83	·83·triangleShapeFunction[3]·=·4in[0]··(1·-·in[0]·-·in[1]);
		84	·84·triangleShapeFunction[4]·=·4in[1]··(1·-·in[0]·-·in[1]);
		85	·85·triangleShapeFunction[5]·=·4in[0]in[1];
		86	·86
		87	·87·//·lower·triangle:
		88	·88·out[0]·=·triangleShapeFunction[0]·*·segmentShapeFunction[0];
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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	····*·raviartthomas
8	~~raviartthom~~as~~03d.hh~~	7	····*·lagrange
		8	p0.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_RAVIARTTHOMAS_RAVIARTTHOMAS03D_HH
16	·6#define·DUNE_LOCALF~~UNCT~~ION~~S_RAV~~I~~ART~~T~~HOMAS_RAVIARTTHO~~MAS~~03D~~_HH	15	·5#ifndef·DUNE_P0LOCALFINITEELEMENT_HH
		16	·6#define·DUNE_P0LOCALFINITEELEMENT_HH
17	·7	17	·7
18	·8#include·<dune/geometry/type.hh>	18	·8#include·<dune/geometry/type.hh>
19	·9	19	·9
20	·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>	20	·10#include·<dune/localfunctions/common/localfiniteelementtraits.hh>
21	·11#include·"raviartthomas03d/raviartthomas03dlocalbasis.hh"
22	·12#include·"raviartthomas03d/raviartthomas03dlocalcoefficients.hh"
23	·13#include·"~~raviartthoma~~s03d/~~raviartthoma~~s03dlocal~~interpo~~lation.hh"	21	·11#include·"p0/p0localbasis.hh"
		22	·12#include·"p0/p0localcoefficients.hh"
		23	·13#include·"p0/p0localinterpolation.hh"
24	·14	24	·14
25	·15namespace·Dune	25	·15namespace·Dune
26	·16{	26	·16{
27	·17	27	·17
28	·26·template<class·D,·class·R>	28	·23·template<class·D,·class·R,·int·d>
29	27·class
30	·~~28·RT03D~~LocalFiniteElement	29	24·class·P0LocalFiniteElement
31	·29·{	30	·25·{
32	·30·public:	31	·26·public:
33	·31·typedef
34	LocalFiniteElementTraits<RT03DLocalBasis<D,R>,RT03DLocalCoefficients,	32	·29·typedef·LocalFiniteElementTraits<P0LocalBasis<D,R,d>,·P0LocalCoefficients,
35	32·RT03DLocalInterpolation<RT03DLocalBasis<D,R>·>·>·Traits;	33	30·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·>·Traits;
36	·33
37	35·~~RT0~~3~~DLocalFiniteElement·(~~)	34	·31
		35	34·P0LocalFiniteElement·(const·GeometryType&·type)
		36	·35·:·interpolation(type),·gt(type)
38	·36·{}	37	·36·{}
39	·37	38	·37
40	43·RT03DLocalFiniteElement·(std::bitset<4>·s)·:
41	·44·basis(s),
42	·45·interpolation(s)
43	·46·{}
44	·47
45	48·const·typename·Traits::LocalBasisType&·localBasis·()·const	39	40·const·typename·Traits::LocalBasisType&·localBasis·()·const
46	·49·{	40	·41·{
47	·50·return·basis;	41	·42·return·basis;
48	·51·}
49	·52	42	·43·}
		43	·44
50	53·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const	44	47·const·typename·Traits::LocalCoefficientsType&·localCoefficients·()·const
51	·54·{	45	·48·{
52	·55·return·coefficients;	46	·49·return·coefficients;
53	·56·}	47	·50·}
54	·57	48	·51
55	58·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const	49	54·const·typename·Traits::LocalInterpolationType&·localInterpolation·()·const
56	·59·{	50	·55·{
57	·60·return·interpolation;	51	·56·return·interpolation;
58	·61·}
59	·62	52	·57·}
		53	·58
60	63·unsigned·int·size·()·const	54	60·unsigned·int·size·()·const
61	·64·{	55	·61·{
62	·65·return·4;	56	·62·return·1;
63	·66·}	57	·63·}
64	·67
65	~~68·static·constexpr·GeometryType·type~~·()	58	·64
		59	67·GeometryType·type·()·const
66	·69·{	60	·68·{
67	·70·return·~~GeometryTypes::t~~et~~rahedron~~;	61	·69·return·gt;
68	·71·}	62	·70·}
69	·72	63	·71
70	·73·private:	64	·72·private:
71	·74·RT03DLocalBasis<D,R>·basis;	65	·73·P0LocalBasis<D,R,d>·basis;
72	·75·RT03DLocalCoefficients·coefficients;	66	·74·P0LocalCoefficients·coefficients;
73	·76·RT03DLocalInterpolation<RT03DLocalBasis<D,R>·>·interpolation;	67	·75·P0LocalInterpolation<P0LocalBasis<D,R,d>·>·interpolation;
		68	·76·GeometryType·gt;
74	·77·};	69	·77·};
75	·78	70	·78
76	·79}	71	·79}
77	·80	72	·80
78	·81#endif	73	·81#endif
79	raviartthomas03dlocalinterpolation.hh
80	raviartthomas03dlocalbasis.hh
81	~~raviartthoma~~s03dlocal~~coeffic~~i~~ent~~s.hh	74	p0localbasis.hh
		75	p0localinterpolation.hh
		76	p0localcoefficients.hh
82	localfiniteelementtraits.hh	77	localfiniteelementtraits.hh
83	Dune	78	Dune
84	Definition:·bdfmcube.hh:18	79	Definition:·bdfmcube.hh:18
85	Dune::LocalFiniteElementTraits	80	Dune::LocalFiniteElementTraits
86	traits·helper·struct	81	traits·helper·struct
87	Definition:·localfiniteelementtraits.hh:13	82	Definition:·localfiniteelementtraits.hh:13
88	Dune::LocalFiniteElementTraits::LocalBasisType	83	Dune::LocalFiniteElementTraits::LocalBasisType
Offset 94, 48 lines modified		Offset 89, 44 lines modified
94	Definition:·localfiniteelementtraits.hh:16	89	Definition:·localfiniteelementtraits.hh:16
95	Dune::LocalFiniteElementTraits::LocalCoefficientsType	90	Dune::LocalFiniteElementTraits::LocalCoefficientsType
96	LC·LocalCoefficientsType	91	LC·LocalCoefficientsType
97	Definition:·localfiniteelementtraits.hh:20	92	Definition:·localfiniteelementtraits.hh:20
98	Dune::LocalFiniteElementTraits::LocalInterpolationType	93	Dune::LocalFiniteElementTraits::LocalInterpolationType
99	LI·LocalInterpolationType	94	LI·LocalInterpolationType
100	Definition:·localfiniteelementtraits.hh:24	95	Definition:·localfiniteelementtraits.hh:24
101	Dune::RT03DLocalFiniteElement	96	Dune::P0LocalFiniteElement
		97	The·local·p0·finite·element·on·all·types·of·reference·elements.
		98	Definition:·p0.hh:25
		99	Dune::P0LocalFiniteElement::P0LocalFiniteElement
		100	P0LocalFiniteElement(const·GeometryType·&type)
		101	Definition:·p0.hh:34
102	Zero·order·Raviart-Thomas·shape·functions·on·tetrahedra.
103	Definition:·raviartthomas03d.hh:29
104	Dune::RT03DLocalFiniteElement::Traits
105	LocalFiniteElementTraits<·RT03DLocalBasis<·D,·R·>,·RT03DLocalCoefficients,
106	RT03DLocalInterpolation<·RT03DLocalBasis<·D,·R·>·>·>·Traits
107	Definition:·raviartthomas03d.hh:32
108	Dune::RT03DLocalFiniteElement::size	102	Dune::P0LocalFiniteElement::size
109	unsigned·int·size()·const	103	unsigned·int·size()·const
110	De~~finiti~~o~~n:·r~~a~~viart~~tho~~mas03d.hh~~:63	104	The·number·of·shape·functions·–·here:·1.
		105	Definition:·p0.hh:60
111	Dune::RT03DLocalFiniteElement::type	106	Dune::P0LocalFiniteElement::type
		107	GeometryType·type()·const
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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	····*·lagrange
		8	Namespaces·\|·Typedefs
		9	qk.hh·File·Reference
		10	#include·<dune/localfunctions/lagrange/lagrangecube.hh>
7	····*·raviartthomas
8	Classes·\|·Namespaces
9	raviartthomassimplex.hh·File·Reference
10	Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
11	arbitrary·dimension.·More...
12	#include·<dune/localfunctions/utility/localfiniteelement.hh>
13	#include·"raviartthomassimplex/raviartthomassimplexbasis.hh"
14	Go_to_the_source_code_of_this_file.	11	Go_to_the_source_code_of_this_file.
15	·Classes
16	class· Dune::RaviartThomasSimplexLocalFiniteElement<_dimDomain,_D,_R,_SF,_CF_>
17	······Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices
18	········of·arbitrary·dimension.·More...
19
20	·Namespaces	12	·Namespaces
21	namespace· Dune	13	namespace· Dune
22		14
23	***·Detailed·Description·***
24	Raviart-Thomas·local·finite·elements·of·arbitrary·order·for·simplices·of
25	~~arbitr~~ary·~~dim~~ens~~ion.~~	15	·Typedefs
		16	template<class·D·,·class·R·,·int·d,·int·k>
		17	using Dune::QkLocalFiniteElement·=·LagrangeCubeLocalFiniteElement<·D,·R,·d,·k
		18	·······>
		19	·····General·Lagrange·finite·element·for·cubes·with·arbitrary·dimension·and
		20	·······polynomial·order.·More...
		21

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