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<center><a href="https://gitlab.com/petsc/petsc/-/blob/966382dc56242773704ef5f5cee7aa2db3ebc577/include/petscdt.h">Actual source code: petscdt.h</a></center><br>
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<meta name="date" content="2025-04-30T18:14:50+00:00">
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<pre width=80>
<a name="line1"> 1: </a><font color="#B22222">/*</font>
<a name="line2"> 2: </a><font color="#B22222"> Common tools for constructing discretizations</font>
<a name="line3"> 3: </a><font color="#B22222">*/</font>
<a name="line4"> 4: </a><font color="#A020F0">#pragma once</font>
<a name="line6"> 6: </a>#include <A href="../include/petscsys.h.html"><petscsys.h></A>
<a name="line7"> 7: </a>#include <A href="../include/petscdmtypes.h.html"><petscdmtypes.h></A>
<a name="line8"> 8: </a>#include <A href="../include/petscistypes.h.html"><petscistypes.h></A>
<a name="line10"> 10: </a><font color="#B22222">/* MANSEC = <a href="../manualpages/DM/DM.html">DM</a> */</font>
<a name="line11"> 11: </a><font color="#B22222">/* SUBMANSEC = DT */</font>
<a name="line13"> 13: </a>PETSC_EXTERN <a href="../manualpages/Sys/PetscClassId.html">PetscClassId</a> PETSCQUADRATURE_CLASSID;
<a name="line15"> 15: </a><font color="#B22222">/*S</font>
<a name="line16"> 16: </a><font color="#B22222"> <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> - Quadrature rule for numerical integration.</font>
<a name="line18"> 18: </a><font color="#B22222"> Level: beginner</font>
<a name="line20"> 20: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscQuadratureCreate.html">PetscQuadratureCreate</a>()`, `<a href="../manualpages/DT/PetscQuadratureDestroy.html">PetscQuadratureDestroy</a>()`</font>
<a name="line21"> 21: </a><font color="#B22222">S*/</font>
<a name="line22"> 22: </a><font color="#4169E1">typedef struct _p_PetscQuadrature *<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>;</font>
<a name="line24"> 24: </a><font color="#B22222">/*E</font>
<a name="line25"> 25: </a><font color="#B22222"> <a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PetscGaussLobattoLegendreCreateType</a> - algorithm used to compute the Gauss-Lobatto-Legendre nodes and weights</font>
<a name="line27"> 27: </a><font color="#B22222"> Values:</font>
<a name="line28"> 28: </a><font color="#B22222">+ `<a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PETSCGAUSSLOBATTOLEGENDRE_VIA_LINEAR_ALGEBRA</a>` - compute the nodes via linear algebra</font>
<a name="line29"> 29: </a><font color="#B22222">- `<a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PETSCGAUSSLOBATTOLEGENDRE_VIA_NEWTON</a>` - compute the nodes by solving a nonlinear equation with Newton's method</font>
<a name="line31"> 31: </a><font color="#B22222"> Level: intermediate</font>
<a name="line33"> 33: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>`</font>
<a name="line34"> 34: </a><font color="#B22222">E*/</font>
<a name="line35"> 35: </a><font color="#4169E1">typedef</font> <font color="#4169E1">enum</font> {
<a name="line36"> 36: </a> <a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PETSCGAUSSLOBATTOLEGENDRE_VIA_LINEAR_ALGEBRA</a>,
<a name="line37"> 37: </a> <a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PETSCGAUSSLOBATTOLEGENDRE_VIA_NEWTON</a>
<a name="line38"> 38: </a>} <a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PetscGaussLobattoLegendreCreateType</a>;
<a name="line40"> 40: </a><font color="#B22222">/*E</font>
<a name="line41"> 41: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTNodeType.html">PetscDTNodeType</a> - A description of strategies for generating nodes (both</font>
<a name="line42"> 42: </a><font color="#B22222"> quadrature nodes and nodes for Lagrange polynomials)</font>
<a name="line44"> 44: </a><font color="#B22222"> Values:</font>
<a name="line45"> 45: </a><font color="#B22222">+ `<a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_DEFAULT</a>` - Nodes chosen by PETSc</font>
<a name="line46"> 46: </a><font color="#B22222">. `<a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_GAUSSJACOBI</a>` - Nodes at either Gauss-Jacobi or Gauss-Lobatto-Jacobi quadrature points</font>
<a name="line47"> 47: </a><font color="#B22222">. `<a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_EQUISPACED</a>` - Nodes equispaced either including the endpoints or excluding them</font>
<a name="line48"> 48: </a><font color="#B22222">- `<a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_TANHSINH</a>` - Nodes at Tanh-Sinh quadrature points</font>
<a name="line50"> 50: </a><font color="#B22222"> Level: intermediate</font>
<a name="line52"> 52: </a><font color="#B22222"> Note:</font>
<a name="line53"> 53: </a><font color="#B22222"> A `<a href="../manualpages/DT/PetscDTNodeType.html">PetscDTNodeType</a>` can be paired with a `<a href="../manualpages/Sys/PetscBool.html">PetscBool</a>` to indicate whether</font>
<a name="line54"> 54: </a><font color="#B22222"> the nodes include endpoints or not, and in the case of `PETSCDT_GAUSSJACOBI`</font>
<a name="line55"> 55: </a><font color="#B22222"> with exponents for the weight function.</font>
<a name="line57"> 57: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>`</font>
<a name="line58"> 58: </a><font color="#B22222">E*/</font>
<a name="line59"> 59: </a><font color="#4169E1">typedef</font> <font color="#4169E1">enum</font> {
<a name="line60"> 60: </a> <a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_DEFAULT</a> = -1,
<a name="line61"> 61: </a> <a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_GAUSSJACOBI</a> = 0,
<a name="line62"> 62: </a> <a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_EQUISPACED</a> = 1,
<a name="line63"> 63: </a> <a href="../manualpages/DT/PetscDTNodeType.html">PETSCDTNODES_TANHSINH</a> = 2
<a name="line64"> 64: </a>} <a href="../manualpages/DT/PetscDTNodeType.html">PetscDTNodeType</a>;
<a name="line66"> 66: </a>PETSC_EXTERN const char *const *const PetscDTNodeTypes;
<a name="line68"> 68: </a><font color="#B22222">/*E</font>
<a name="line69"> 69: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PetscDTSimplexQuadratureType</a> - A description of classes of quadrature rules for simplices</font>
<a name="line71"> 71: </a><font color="#B22222"> Values:</font>
<a name="line72"> 72: </a><font color="#B22222">+ `<a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_DEFAULT</a>` - Quadrature rule chosen by PETSc</font>
<a name="line73"> 73: </a><font color="#B22222">. `<a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_CONIC</a>` - Quadrature rules constructed as</font>
<a name="line74"> 74: </a><font color="#B22222"> conically-warped tensor products of 1D</font>
<a name="line75"> 75: </a><font color="#B22222"> Gauss-Jacobi quadrature rules. These are</font>
<a name="line76"> 76: </a><font color="#B22222"> explicitly computable in any dimension for any</font>
<a name="line77"> 77: </a><font color="#B22222"> degree, and the tensor-product structure can be</font>
<a name="line78"> 78: </a><font color="#B22222"> exploited by sum-factorization methods, but</font>
<a name="line79"> 79: </a><font color="#B22222"> they are not efficient in terms of nodes per</font>
<a name="line80"> 80: </a><font color="#B22222"> polynomial degree.</font>
<a name="line81"> 81: </a><font color="#B22222">- `<a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_MINSYM</a>` - Quadrature rules that are fully symmetric</font>
<a name="line82"> 82: </a><font color="#B22222"> (symmetries of the simplex preserve the nodes</font>
<a name="line83"> 83: </a><font color="#B22222"> and weights) with minimal (or near minimal)</font>
<a name="line84"> 84: </a><font color="#B22222"> number of nodes. In dimensions higher than 1</font>
<a name="line85"> 85: </a><font color="#B22222"> these are not simple to compute, so lookup</font>
<a name="line86"> 86: </a><font color="#B22222"> tables are used.</font>
<a name="line88"> 88: </a><font color="#B22222"> Level: intermediate</font>
<a name="line90"> 90: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>`, `<a href="../manualpages/DT/PetscDTSimplexQuadrature.html">PetscDTSimplexQuadrature</a>()`</font>
<a name="line91"> 91: </a><font color="#B22222">E*/</font>
<a name="line92"> 92: </a><font color="#4169E1">typedef</font> <font color="#4169E1">enum</font> {
<a name="line93"> 93: </a> <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_DEFAULT</a> = -1,
<a name="line94"> 94: </a> <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_CONIC</a> = 0,
<a name="line95"> 95: </a> <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PETSCDTSIMPLEXQUAD_MINSYM</a> = 1
<a name="line96"> 96: </a>} <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PetscDTSimplexQuadratureType</a>;
<a name="line98"> 98: </a>PETSC_EXTERN const char *const *const PetscDTSimplexQuadratureTypes;
<a name="line100">100: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureCreate.html">PetscQuadratureCreate</a>(<a href="../manualpages/Sys/MPI_Comm.html">MPI_Comm</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line101">101: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureDuplicate.html">PetscQuadratureDuplicate</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line102">102: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureGetCellType.html">PetscQuadratureGetCellType</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DM/DMPolytopeType.html">DMPolytopeType</a> *)</font></strong>;
<a name="line103">103: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureSetCellType.html">PetscQuadratureSetCellType</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DM/DMPolytopeType.html">DMPolytopeType</a>)</font></strong>;
<a name="line104">104: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureGetOrder.html">PetscQuadratureGetOrder</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)</font></strong>;
<a name="line105">105: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureSetOrder.html">PetscQuadratureSetOrder</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>)</font></strong>;
<a name="line106">106: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureGetNumComponents.html">PetscQuadratureGetNumComponents</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)</font></strong>;
<a name="line107">107: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureSetNumComponents.html">PetscQuadratureSetNumComponents</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>)</font></strong>;
<a name="line108">108: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureEqual.html">PetscQuadratureEqual</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> *)</font></strong>;
<a name="line109">109: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureGetData.html">PetscQuadratureGetData</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *[])</font></strong>;
<a name="line110">110: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureSetData.html">PetscQuadratureSetData</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line111">111: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureView.html">PetscQuadratureView</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Viewer/PetscViewer.html">PetscViewer</a>)</font></strong>;
<a name="line112">112: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureDestroy.html">PetscQuadratureDestroy</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line114">114: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTTensorQuadratureCreate.html">PetscDTTensorQuadratureCreate</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line115">115: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureExpandComposite.html">PetscQuadratureExpandComposite</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line116">116: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadratureComputePermutations.html">PetscQuadratureComputePermutations</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, <a href="../manualpages/IS/IS.html">IS</a> *[])</font></strong>;
<a name="line118">118: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscQuadraturePushForward.html">PetscQuadraturePushForward</a>(<a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line120">120: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTLegendreEval.html">PetscDTLegendreEval</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line121">121: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTJacobiNorm.html">PetscDTJacobiNorm</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line122">122: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTJacobiEval.html">PetscDTJacobiEval</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line123">123: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTJacobiEvalJet.html">PetscDTJacobiEvalJet</a>(<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line124">124: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTPKDEvalJet.html">PetscDTPKDEvalJet</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line125">125: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTPTrimmedSize.html">PetscDTPTrimmedSize</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)</font></strong>;
<a name="line126">126: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTPTrimmedEvalJet.html">PetscDTPTrimmedEvalJet</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line127">127: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGaussQuadrature.html">PetscDTGaussQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line128">128: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGaussJacobiQuadrature.html">PetscDTGaussJacobiQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line129">129: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGaussLobattoJacobiQuadrature.html">PetscDTGaussLobattoJacobiQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line130">130: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGaussLobattoLegendreQuadrature.html">PetscDTGaussLobattoLegendreQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/DT/PetscGaussLobattoLegendreCreateType.html">PetscGaussLobattoLegendreCreateType</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line131">131: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTReconstructPoly.html">PetscDTReconstructPoly</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line132">132: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGaussTensorQuadrature.html">PetscDTGaussTensorQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line133">133: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTStroudConicalQuadrature.html">PetscDTStroudConicalQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line134">134: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTSimplexQuadrature.html">PetscDTSimplexQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/DT/PetscDTSimplexQuadratureType.html">PetscDTSimplexQuadratureType</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line135">135: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTCreateDefaultQuadrature.html">PetscDTCreateDefaultQuadrature</a>(<a href="../manualpages/DM/DMPolytopeType.html">DMPolytopeType</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line137">137: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTTanhSinhTensorQuadrature.html">PetscDTTanhSinhTensorQuadrature</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/DT/PetscQuadrature.html">PetscQuadrature</a> *)</font></strong>;
<a name="line138">138: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> PetscDTTanhSinhIntegrate(void (*)(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], void *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *), <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, void *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line139">139: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> PetscDTTanhSinhIntegrateMPFR(void (*)(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], void *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *), <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, void *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line141">141: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreIntegrate.html">PetscGaussLobattoLegendreIntegrate</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line142">142: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementLaplacianCreate.html">PetscGaussLobattoLegendreElementLaplacianCreate</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line143">143: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementLaplacianDestroy.html">PetscGaussLobattoLegendreElementLaplacianDestroy</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line144">144: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementGradientCreate.html">PetscGaussLobattoLegendreElementGradientCreate</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line145">145: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementGradientDestroy.html">PetscGaussLobattoLegendreElementGradientDestroy</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line146">146: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementAdvectionCreate.html">PetscGaussLobattoLegendreElementAdvectionCreate</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line147">147: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscGaussLobattoLegendreElementAdvectionDestroy.html">PetscGaussLobattoLegendreElementAdvectionDestroy</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line148">148: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> PetscGaussLobattoLegendreElementMassCreate(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line149">149: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> PetscGaussLobattoLegendreElementMassDestroy(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> ***)</font></strong>;
<a name="line151">151: </a><font color="#B22222">/*MC</font>
<a name="line152">152: </a><font color="#B22222"> <a href="../manualpages/DT/PETSC_FORM_DEGREE_UNDEFINED.html">PETSC_FORM_DEGREE_UNDEFINED</a> - Indicates that a field does not have</font>
<a name="line153">153: </a><font color="#B22222"> a well-defined form degree in exterior calculus.</font>
<a name="line155">155: </a><font color="#B22222"> Level: advanced</font>
<a name="line157">157: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTAltV.html">PetscDTAltV</a>`, `<a href="../manualpages/DUALSPACE/PetscDualSpaceGetFormDegree.html">PetscDualSpaceGetFormDegree</a>()`</font>
<a name="line158">158: </a><font color="#B22222">M*/</font>
<a name="line159">159: </a><strong><font color="#228B22">#define <a href="../manualpages/DT/PETSC_FORM_DEGREE_UNDEFINED.html">PETSC_FORM_DEGREE_UNDEFINED</a> PETSC_INT_MIN</font></strong>
<a name="line161">161: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVApply.html">PetscDTAltVApply</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line162">162: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVWedge.html">PetscDTAltVWedge</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line163">163: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVWedgeMatrix.html">PetscDTAltVWedgeMatrix</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line164">164: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVPullback.html">PetscDTAltVPullback</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line165">165: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVPullbackMatrix.html">PetscDTAltVPullbackMatrix</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line166">166: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVInterior.html">PetscDTAltVInterior</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line167">167: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVInteriorMatrix.html">PetscDTAltVInteriorMatrix</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line168">168: </a><strong><font color="#4169E1"><a name="PetscDTAltVInteriorPattern"></a>PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVInteriorPattern.html">PetscDTAltVInteriorPattern</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> (*)</font></strong>[3]);
<a name="line169">169: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTAltVStar.html">PetscDTAltVStar</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line171">171: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTBaryToIndex.html">PetscDTBaryToIndex</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)</font></strong>;
<a name="line172">172: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTIndexToBary.html">PetscDTIndexToBary</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[])</font></strong>;
<a name="line173">173: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTGradedOrderToIndex.html">PetscDTGradedOrderToIndex</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[], <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *)</font></strong>;
<a name="line174">174: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTIndexToGradedOrder.html">PetscDTIndexToGradedOrder</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>[])</font></strong>;
<a name="line176">176: </a><font color="#A020F0">#if defined(PETSC_USE_64BIT_INDICES)</font>
<a name="line177">177: </a><strong><font color="#228B22"> #define PETSC_FACTORIAL_MAX 20</font></strong>
<a name="line178">178: </a><strong><font color="#228B22"> #define PETSC_BINOMIAL_MAX 61</font></strong>
<a name="line179">179: </a><font color="#A020F0">#else</font>
<a name="line180">180: </a><strong><font color="#228B22"> #define PETSC_FACTORIAL_MAX 12</font></strong>
<a name="line181">181: </a><strong><font color="#228B22"> #define PETSC_BINOMIAL_MAX 29</font></strong>
<a name="line182">182: </a><font color="#A020F0">#endif</font>
<a name="line184">184: </a><font color="#B22222">/*MC</font>
<a name="line185">185: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a> - Approximate n! as a real number</font>
<a name="line187">187: </a><font color="#B22222"> Input Parameter:</font>
<a name="line188">188: </a><font color="#B22222">. n - a non-negative integer</font>
<a name="line190">190: </a><font color="#B22222"> Output Parameter:</font>
<a name="line191">191: </a><font color="#B22222">. factorial - n!</font>
<a name="line193">193: </a><font color="#B22222"> Level: beginner</font>
<a name="line195">195: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`</font>
<a name="line196">196: </a><font color="#B22222">M*/</font>
<a name="line197">197: </a><strong><font color="#4169E1"><a name="PetscDTFactorial"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *factorial)</font></strong>
<a name="line198">198: </a>{
<a name="line199">199: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> f = 1.0;
<a name="line201">201: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line202">202: </a> *factorial = -1.0;
<a name="line203">203: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Factorial called with negative number %"</font> PetscInt_FMT, n);
<a name="line204">204: </a> <font color="#4169E1">for</font> (<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i = 1; i < n + 1; ++i) f *= (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)i;
<a name="line205">205: </a> *factorial = f;
<a name="line206">206: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line207">207: </a>}
<a name="line209">209: </a><font color="#B22222">/*MC</font>
<a name="line210">210: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a> - Compute n! as an integer</font>
<a name="line212">212: </a><font color="#B22222"> Input Parameter:</font>
<a name="line213">213: </a><font color="#B22222">. n - a non-negative integer</font>
<a name="line215">215: </a><font color="#B22222"> Output Parameter:</font>
<a name="line216">216: </a><font color="#B22222">. factorial - n!</font>
<a name="line218">218: </a><font color="#B22222"> Level: beginner</font>
<a name="line220">220: </a><font color="#B22222"> Note:</font>
<a name="line221">221: </a><font color="#B22222"> This is limited to `n` such that n! can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, which is 12 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 32-bit integer and 20 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 64-bit integer.</font>
<a name="line223">223: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`</font>
<a name="line224">224: </a><font color="#B22222">M*/</font>
<a name="line225">225: </a><strong><font color="#4169E1"><a name="PetscDTFactorialInt"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *factorial)</font></strong>
<a name="line226">226: </a>{
<a name="line227">227: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> facLookup[13] = {1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600};
<a name="line229">229: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line230">230: </a> *factorial = -1;
<a name="line231">231: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0 && n <= PETSC_FACTORIAL_MAX, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Number of elements %"</font> PetscInt_FMT <font color="#666666">" is not in supported range [0,%d]"</font>, n, PETSC_FACTORIAL_MAX);
<a name="line232">232: </a> <font color="#4169E1">if</font> (n <= 12) {
<a name="line233">233: </a> *factorial = facLookup[n];
<a name="line234">234: </a> } <font color="#4169E1">else</font> {
<a name="line235">235: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> f = facLookup[12];
<a name="line236">236: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i;
<a name="line238">238: </a> <font color="#4169E1">for</font> (i = 13; i < n + 1; ++i) f *= i;
<a name="line239">239: </a> *factorial = f;
<a name="line240">240: </a> }
<a name="line241">241: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line242">242: </a>}
<a name="line244">244: </a><font color="#B22222">/*MC</font>
<a name="line245">245: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a> - Approximate the binomial coefficient `n` choose `k`</font>
<a name="line247">247: </a><font color="#B22222"> Input Parameters:</font>
<a name="line248">248: </a><font color="#B22222">+ n - a non-negative integer</font>
<a name="line249">249: </a><font color="#B22222">- k - an integer between 0 and `n`, inclusive</font>
<a name="line251">251: </a><font color="#B22222"> Output Parameter:</font>
<a name="line252">252: </a><font color="#B22222">. binomial - approximation of the binomial coefficient `n` choose `k`</font>
<a name="line254">254: </a><font color="#B22222"> Level: beginner</font>
<a name="line256">256: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`</font>
<a name="line257">257: </a><font color="#B22222">M*/</font>
<a name="line258">258: </a><strong><font color="#4169E1"><a name="PetscDTBinomial"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *binomial)</font></strong>
<a name="line259">259: </a>{
<a name="line260">260: </a> <a href="../manualpages/Sys/PetscFunctionBeginHot.html">PetscFunctionBeginHot</a>;
<a name="line261">261: </a> *binomial = -1.0;
<a name="line262">262: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0 && k >= 0 && k <= n, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Binomial arguments (%"</font> PetscInt_FMT <font color="#666666">" %"</font> PetscInt_FMT <font color="#666666">") must be non-negative, k <= n"</font>, n, k);
<a name="line263">263: </a> <font color="#4169E1">if</font> (n <= 3) {
<a name="line264">264: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> binomLookup[4][4] = {
<a name="line265">265: </a> {1, 0, 0, 0},
<a name="line266">266: </a> {1, 1, 0, 0},
<a name="line267">267: </a> {1, 2, 1, 0},
<a name="line268">268: </a> {1, 3, 3, 1}
<a name="line269">269: </a> };
<a name="line271">271: </a> *binomial = (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)binomLookup[n][k];
<a name="line272">272: </a> } <font color="#4169E1">else</font> {
<a name="line273">273: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> binom = 1.0;
<a name="line275">275: </a> k = <a href="../manualpages/Sys/PetscMin.html">PetscMin</a>(k, n - k);
<a name="line276">276: </a> <font color="#4169E1">for</font> (<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i = 0; i < k; i++) binom = (binom * (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)(n - i)) / (<a href="../manualpages/Sys/PetscReal.html">PetscReal</a>)(i + 1);
<a name="line277">277: </a> *binomial = binom;
<a name="line278">278: </a> }
<a name="line279">279: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line280">280: </a>}
<a name="line282">282: </a><font color="#B22222">/*MC</font>
<a name="line283">283: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a> - Compute the binomial coefficient `n` choose `k`</font>
<a name="line285">285: </a><font color="#B22222"> Input Parameters:</font>
<a name="line286">286: </a><font color="#B22222">+ n - a non-negative integer</font>
<a name="line287">287: </a><font color="#B22222">- k - an integer between 0 and `n`, inclusive</font>
<a name="line289">289: </a><font color="#B22222"> Output Parameter:</font>
<a name="line290">290: </a><font color="#B22222">. binomial - the binomial coefficient `n` choose `k`</font>
<a name="line292">292: </a><font color="#B22222"> Level: beginner</font>
<a name="line294">294: </a><font color="#B22222"> Note:</font>
<a name="line295">295: </a><font color="#B22222"> This is limited by integers that can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`.</font>
<a name="line297">297: </a><font color="#B22222"> Use `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()` for real number approximations of larger values</font>
<a name="line299">299: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`</font>
<a name="line300">300: </a><font color="#B22222">M*/</font>
<a name="line301">301: </a><strong><font color="#4169E1"><a name="PetscDTBinomialInt"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *binomial)</font></strong>
<a name="line302">302: </a>{
<a name="line303">303: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> bin;
<a name="line305">305: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line306">306: </a> *binomial = -1;
<a name="line307">307: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0 && k >= 0 && k <= n, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Binomial arguments (%"</font> PetscInt_FMT <font color="#666666">" %"</font> PetscInt_FMT <font color="#666666">") must be non-negative, k <= n"</font>, n, k);
<a name="line308">308: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n <= PETSC_BINOMIAL_MAX, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Binomial elements %"</font> PetscInt_FMT <font color="#666666">" is larger than max for <a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, %d"</font>, n, PETSC_BINOMIAL_MAX);
<a name="line309">309: </a> <font color="#4169E1">if</font> (n <= 3) {
<a name="line310">310: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> binomLookup[4][4] = {
<a name="line311">311: </a> {1, 0, 0, 0},
<a name="line312">312: </a> {1, 1, 0, 0},
<a name="line313">313: </a> {1, 2, 1, 0},
<a name="line314">314: </a> {1, 3, 3, 1}
<a name="line315">315: </a> };
<a name="line317">317: </a> bin = binomLookup[n][k];
<a name="line318">318: </a> } <font color="#4169E1">else</font> {
<a name="line319">319: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> binom = 1;
<a name="line321">321: </a> k = <a href="../manualpages/Sys/PetscMin.html">PetscMin</a>(k, n - k);
<a name="line322">322: </a> <font color="#4169E1">for</font> (<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i = 0; i < k; i++) binom = (binom * (n - i)) / (i + 1);
<a name="line323">323: </a> bin = binom;
<a name="line324">324: </a> }
<a name="line325">325: </a> *binomial = bin;
<a name="line326">326: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line327">327: </a>}
<a name="line329">329: </a><font color="#B22222">/* the following inline routines should be not be inline routines and then Fortran binding can be built automatically */</font>
<a name="line330">330: </a><strong><font color="#228B22">#define PeOp</font></strong>
<a name="line332">332: </a><font color="#B22222">/*MC</font>
<a name="line333">333: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a> - Get a permutation of `n` integers from its encoding into the integers [0, n!) as a sequence of swaps.</font>
<a name="line335">335: </a><font color="#B22222"> Input Parameters:</font>
<a name="line336">336: </a><font color="#B22222">+ n - a non-negative integer (see note about limits below)</font>
<a name="line337">337: </a><font color="#B22222">- k - an integer in [0, n!)</font>
<a name="line339">339: </a><font color="#B22222"> Output Parameters:</font>
<a name="line340">340: </a><font color="#B22222">+ perm - the permuted list of the integers [0, ..., n-1]</font>
<a name="line341">341: </a><font color="#B22222">- isOdd - if not `NULL`, returns whether the permutation used an even or odd number of swaps.</font>
<a name="line343">343: </a><font color="#B22222"> Level: intermediate</font>
<a name="line345">345: </a><font color="#B22222"> Notes:</font>
<a name="line346">346: </a><font color="#B22222"> A permutation can be described by the operations that convert the lists [0, 1, ..., n-1] into the permutation,</font>
<a name="line347">347: </a><font color="#B22222"> by a sequence of swaps, where the ith step swaps whatever number is in ith position with a number that is in</font>
<a name="line348">348: </a><font color="#B22222"> some position j >= i. This swap is encoded as the difference (j - i). The difference d_i at step i is less than</font>
<a name="line349">349: </a><font color="#B22222"> (n - i). This sequence of n-1 differences [d_0, ..., d_{n-2}] is encoded as the number</font>
<a name="line350">350: </a><font color="#B22222"> (n-1)! * d_0 + (n-2)! * d_1 + ... + 1! * d_{n-2}.</font>
<a name="line352">352: </a><font color="#B22222"> Limited to `n` such that `n`! can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, which is 12 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 32-bit integer and 20 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 64-bit integer.</font>
<a name="line354">354: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a>()`</font>
<a name="line355">355: </a><font color="#B22222">M*/</font>
<a name="line356">356: </a><strong><font color="#4169E1"><a name="PetscDTEnumPerm"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *perm, PeOp <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> *isOdd)</font></strong>
<a name="line357">357: </a>{
<a name="line358">358: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> odd = 0;
<a name="line359">359: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i;
<a name="line360">360: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> work[PETSC_FACTORIAL_MAX];
<a name="line361">361: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *w;
<a name="line363">363: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line364">364: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line365">365: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0 && n <= PETSC_FACTORIAL_MAX, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Number of elements %"</font> PetscInt_FMT <font color="#666666">" is not in supported range [0,%d]"</font>, n, PETSC_FACTORIAL_MAX);
<a name="line366">366: </a> <font color="#4169E1">if</font> (n >= 2) {
<a name="line367">367: </a> w = &work[n - 2];
<a name="line368">368: </a> <font color="#4169E1">for</font> (i = 2; i <= n; i++) {
<a name="line369">369: </a> *(w--) = k % i;
<a name="line370">370: </a> k /= i;
<a name="line371">371: </a> }
<a name="line372">372: </a> }
<a name="line373">373: </a> <font color="#4169E1">for</font> (i = 0; i < n; i++) perm[i] = i;
<a name="line374">374: </a> <font color="#4169E1">for</font> (i = 0; i < n - 1; i++) {
<a name="line375">375: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> s = work[i];
<a name="line376">376: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> swap = perm[i];
<a name="line378">378: </a> perm[i] = perm[i + s];
<a name="line379">379: </a> perm[i + s] = swap;
<a name="line380">380: </a> odd ^= (!!s);
<a name="line381">381: </a> }
<a name="line382">382: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = odd ? <a href="../manualpages/Sys/PETSC_TRUE.html">PETSC_TRUE</a> : <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line383">383: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line384">384: </a>}
<a name="line386">386: </a><font color="#B22222">/*MC</font>
<a name="line387">387: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a> - Encode a permutation of n into an integer in [0, n!). This inverts `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`.</font>
<a name="line389">389: </a><font color="#B22222"> Input Parameters:</font>
<a name="line390">390: </a><font color="#B22222">+ n - a non-negative integer (see note about limits below)</font>
<a name="line391">391: </a><font color="#B22222">- perm - the permuted list of the integers [0, ..., n-1]</font>
<a name="line393">393: </a><font color="#B22222"> Output Parameters:</font>
<a name="line394">394: </a><font color="#B22222">+ k - an integer in [0, n!)</font>
<a name="line395">395: </a><font color="#B22222">- isOdd - if not `NULL`, returns whether the permutation used an even or odd number of swaps.</font>
<a name="line397">397: </a><font color="#B22222"> Level: beginner</font>
<a name="line399">399: </a><font color="#B22222"> Note:</font>
<a name="line400">400: </a><font color="#B22222"> Limited to `n` such that `n`! can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`, which is 12 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 32-bit integer and 20 if `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>` is a signed 64-bit integer.</font>
<a name="line402">402: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`</font>
<a name="line403">403: </a><font color="#B22222">M*/</font>
<a name="line404">404: </a><strong><font color="#4169E1"><a name="PetscDTPermIndex"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *perm, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *k, PeOp <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> *isOdd)</font></strong>
<a name="line405">405: </a>{
<a name="line406">406: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> odd = 0;
<a name="line407">407: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i, idx;
<a name="line408">408: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> work[PETSC_FACTORIAL_MAX];
<a name="line409">409: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> iwork[PETSC_FACTORIAL_MAX];
<a name="line411">411: </a> <a href="../manualpages/Sys/PetscFunctionBeginHot.html">PetscFunctionBeginHot</a>;
<a name="line412">412: </a> *k = -1;
<a name="line413">413: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line414">414: </a> <a href="../manualpages/Sys/PetscCheck.html">PetscCheck</a>(n >= 0 && n <= PETSC_FACTORIAL_MAX, <a href="../manualpages/Sys/PETSC_COMM_SELF.html">PETSC_COMM_SELF</a>, <a href="../manualpages/Sys/PetscErrorCode.html">PETSC_ERR_ARG_OUTOFRANGE</a>, <font color="#666666">"Number of elements %"</font> PetscInt_FMT <font color="#666666">" is not in supported range [0,%d]"</font>, n, PETSC_FACTORIAL_MAX);
<a name="line415">415: </a> <font color="#4169E1">for</font> (i = 0; i < n; i++) work[i] = i; <font color="#B22222">/* partial permutation */</font>
<a name="line416">416: </a> <font color="#4169E1">for</font> (i = 0; i < n; i++) iwork[i] = i; <font color="#B22222">/* partial permutation inverse */</font>
<a name="line417">417: </a> <font color="#4169E1">for</font> (idx = 0, i = 0; i < n - 1; i++) {
<a name="line418">418: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> j = perm[i];
<a name="line419">419: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> icur = work[i];
<a name="line420">420: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> jloc = iwork[j];
<a name="line421">421: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> diff = jloc - i;
<a name="line423">423: </a> idx = idx * (n - i) + diff;
<a name="line424">424: </a> <font color="#B22222">/* swap (i, jloc) */</font>
<a name="line425">425: </a> work[i] = j;
<a name="line426">426: </a> work[jloc] = icur;
<a name="line427">427: </a> iwork[j] = i;
<a name="line428">428: </a> iwork[icur] = jloc;
<a name="line429">429: </a> odd ^= (!!diff);
<a name="line430">430: </a> }
<a name="line431">431: </a> *k = idx;
<a name="line432">432: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = odd ? <a href="../manualpages/Sys/PETSC_TRUE.html">PETSC_TRUE</a> : <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line433">433: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line434">434: </a>}
<a name="line436">436: </a><font color="#B22222">/*MC</font>
<a name="line437">437: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTEnumSubset.html">PetscDTEnumSubset</a> - Get an ordered subset of the integers [0, ..., n - 1] from its encoding as an integers in [0, n choose k).</font>
<a name="line438">438: </a><font color="#B22222"> The encoding is in lexicographic order.</font>
<a name="line440">440: </a><font color="#B22222"> Input Parameters:</font>
<a name="line441">441: </a><font color="#B22222">+ n - a non-negative integer (see note about limits below)</font>
<a name="line442">442: </a><font color="#B22222">. k - an integer in [0, n]</font>
<a name="line443">443: </a><font color="#B22222">- j - an index in [0, n choose k)</font>
<a name="line445">445: </a><font color="#B22222"> Output Parameter:</font>
<a name="line446">446: </a><font color="#B22222">. subset - the jth subset of size k of the integers [0, ..., n - 1]</font>
<a name="line448">448: </a><font color="#B22222"> Level: beginner</font>
<a name="line450">450: </a><font color="#B22222"> Note:</font>
<a name="line451">451: </a><font color="#B22222"> Limited by arguments such that `n` choose `k` can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`</font>
<a name="line453">453: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTSubsetIndex.html">PetscDTSubsetIndex</a>()`, `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`, `<a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a>()`</font>
<a name="line454">454: </a><font color="#B22222">M*/</font>
<a name="line455">455: </a><strong><font color="#4169E1"><a name="PetscDTEnumSubset"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTEnumSubset.html">PetscDTEnumSubset</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> j, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *subset)</font></strong>
<a name="line456">456: </a>{
<a name="line457">457: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nk;
<a name="line459">459: </a> <a href="../manualpages/Sys/PetscFunctionBeginHot.html">PetscFunctionBeginHot</a>;
<a name="line460">460: </a> <a href="../manualpages/Sys/PetscCall.html">PetscCall</a>(<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>(n, k, &Nk));
<a name="line461">461: </a> <font color="#4169E1">for</font> (<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i = 0, l = 0; i < n && l < k; i++) {
<a name="line462">462: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminuskminus = (Nk * (k - l)) / (n - i);
<a name="line463">463: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminusk = Nk - Nminuskminus;
<a name="line465">465: </a> <font color="#4169E1">if</font> (j < Nminuskminus) {
<a name="line466">466: </a> subset[l++] = i;
<a name="line467">467: </a> Nk = Nminuskminus;
<a name="line468">468: </a> } <font color="#4169E1">else</font> {
<a name="line469">469: </a> j -= Nminuskminus;
<a name="line470">470: </a> Nk = Nminusk;
<a name="line471">471: </a> }
<a name="line472">472: </a> }
<a name="line473">473: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line474">474: </a>}
<a name="line476">476: </a><font color="#B22222">/*MC</font>
<a name="line477">477: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTSubsetIndex.html">PetscDTSubsetIndex</a> - Convert an ordered subset of k integers from the set [0, ..., n - 1] to its encoding as an integers in [0, n choose k) in lexicographic order.</font>
<a name="line478">478: </a><font color="#B22222"> This is the inverse of `<a href="../manualpages/DT/PetscDTEnumSubset.html">PetscDTEnumSubset</a>`.</font>
<a name="line480">480: </a><font color="#B22222"> Input Parameters:</font>
<a name="line481">481: </a><font color="#B22222">+ n - a non-negative integer (see note about limits below)</font>
<a name="line482">482: </a><font color="#B22222">. k - an integer in [0, n]</font>
<a name="line483">483: </a><font color="#B22222">- subset - an ordered subset of the integers [0, ..., n - 1]</font>
<a name="line485">485: </a><font color="#B22222"> Output Parameter:</font>
<a name="line486">486: </a><font color="#B22222">. index - the rank of the subset in lexicographic order</font>
<a name="line488">488: </a><font color="#B22222"> Level: beginner</font>
<a name="line490">490: </a><font color="#B22222"> Note:</font>
<a name="line491">491: </a><font color="#B22222"> Limited by arguments such that `n` choose `k` can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`</font>
<a name="line493">493: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTEnumSubset.html">PetscDTEnumSubset</a>()`, `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`, `<a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a>()`</font>
<a name="line494">494: </a><font color="#B22222">M*/</font>
<a name="line495">495: </a><strong><font color="#4169E1"><a name="PetscDTSubsetIndex"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTSubsetIndex.html">PetscDTSubsetIndex</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, const <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *subset, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *index)</font></strong>
<a name="line496">496: </a>{
<a name="line497">497: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> j = 0, Nk;
<a name="line499">499: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line500">500: </a> *index = -1;
<a name="line501">501: </a> <a href="../manualpages/Sys/PetscCall.html">PetscCall</a>(<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>(n, k, &Nk));
<a name="line502">502: </a> <font color="#4169E1">for</font> (<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i = 0, l = 0; i < n && l < k; i++) {
<a name="line503">503: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminuskminus = (Nk * (k - l)) / (n - i);
<a name="line504">504: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminusk = Nk - Nminuskminus;
<a name="line506">506: </a> <font color="#4169E1">if</font> (subset[l] == i) {
<a name="line507">507: </a> l++;
<a name="line508">508: </a> Nk = Nminuskminus;
<a name="line509">509: </a> } <font color="#4169E1">else</font> {
<a name="line510">510: </a> j += Nminuskminus;
<a name="line511">511: </a> Nk = Nminusk;
<a name="line512">512: </a> }
<a name="line513">513: </a> }
<a name="line514">514: </a> *index = j;
<a name="line515">515: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line516">516: </a>}
<a name="line518">518: </a><font color="#B22222">/*MC</font>
<a name="line519">519: </a><font color="#B22222"> <a href="../manualpages/DT/PetscDTEnumSplit.html">PetscDTEnumSplit</a> - Split the integers [0, ..., n - 1] into two complementary ordered subsets, the first subset of size k and being the jth subset of that size in lexicographic order.</font>
<a name="line521">521: </a><font color="#B22222"> Input Parameters:</font>
<a name="line522">522: </a><font color="#B22222">+ n - a non-negative integer (see note about limits below)</font>
<a name="line523">523: </a><font color="#B22222">. k - an integer in [0, n]</font>
<a name="line524">524: </a><font color="#B22222">- j - an index in [0, n choose k)</font>
<a name="line526">526: </a><font color="#B22222"> Output Parameters:</font>
<a name="line527">527: </a><font color="#B22222">+ perm - the jth subset of size k of the integers [0, ..., n - 1], followed by its complementary set.</font>
<a name="line528">528: </a><font color="#B22222">- isOdd - if not `NULL`, return whether perm is an even or odd permutation.</font>
<a name="line530">530: </a><font color="#B22222"> Level: beginner</font>
<a name="line532">532: </a><font color="#B22222"> Note:</font>
<a name="line533">533: </a><font color="#B22222"> Limited by arguments such that `n` choose `k` can be represented by `<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>`</font>
<a name="line535">535: </a><font color="#B22222">.seealso: `<a href="../manualpages/DT/PetscDTEnumSubset.html">PetscDTEnumSubset</a>()`, `<a href="../manualpages/DT/PetscDTSubsetIndex.html">PetscDTSubsetIndex</a>()`, `<a href="../manualpages/DT/PetscDTFactorial.html">PetscDTFactorial</a>()`, `<a href="../manualpages/DT/PetscDTFactorialInt.html">PetscDTFactorialInt</a>()`, `<a href="../manualpages/DT/PetscDTBinomial.html">PetscDTBinomial</a>()`, `<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>()`, `<a href="../manualpages/DT/PetscDTEnumPerm.html">PetscDTEnumPerm</a>()`,</font>
<a name="line536">536: </a><font color="#B22222"> `<a href="../manualpages/DT/PetscDTPermIndex.html">PetscDTPermIndex</a>()`</font>
<a name="line537">537: </a><font color="#B22222">M*/</font>
<a name="line538">538: </a><strong><font color="#4169E1"><a name="PetscDTEnumSplit"></a>static inline <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscDTEnumSplit.html">PetscDTEnumSplit</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a> n, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> k, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> j, <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *perm, PeOp <a href="../manualpages/Sys/PetscBool.html">PetscBool</a> *isOdd)</font></strong>
<a name="line539">539: </a>{
<a name="line540">540: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> i, l, m, Nk, odd = 0;
<a name="line541">541: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> *subcomp = <a href="../manualpages/Sys/PetscSafePointerPlusOffset.html">PetscSafePointerPlusOffset</a>(perm, k);
<a name="line543">543: </a> <a href="../manualpages/Sys/PetscFunctionBegin.html">PetscFunctionBegin</a>;
<a name="line544">544: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line545">545: </a> <a href="../manualpages/Sys/PetscCall.html">PetscCall</a>(<a href="../manualpages/DT/PetscDTBinomialInt.html">PetscDTBinomialInt</a>(n, k, &Nk));
<a name="line546">546: </a> <font color="#4169E1">for</font> (i = 0, l = 0, m = 0; i < n && l < k; i++) {
<a name="line547">547: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminuskminus = (Nk * (k - l)) / (n - i);
<a name="line548">548: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nminusk = Nk - Nminuskminus;
<a name="line550">550: </a> <font color="#4169E1">if</font> (j < Nminuskminus) {
<a name="line551">551: </a> perm[l++] = i;
<a name="line552">552: </a> Nk = Nminuskminus;
<a name="line553">553: </a> } <font color="#4169E1">else</font> {
<a name="line554">554: </a> subcomp[m++] = i;
<a name="line555">555: </a> j -= Nminuskminus;
<a name="line556">556: </a> odd ^= ((k - l) & 1);
<a name="line557">557: </a> Nk = Nminusk;
<a name="line558">558: </a> }
<a name="line559">559: </a> }
<a name="line560">560: </a> <font color="#4169E1">for</font> (; i < n; i++) subcomp[m++] = i;
<a name="line561">561: </a> <font color="#4169E1">if</font> (isOdd) *isOdd = odd ? <a href="../manualpages/Sys/PETSC_TRUE.html">PETSC_TRUE</a> : <a href="../manualpages/Sys/PETSC_FALSE.html">PETSC_FALSE</a>;
<a name="line562">562: </a> <a href="../manualpages/Sys/PetscFunctionReturn.html">PetscFunctionReturn</a>(<a href="../manualpages/Sys/PetscErrorCode.html">PETSC_SUCCESS</a>);
<a name="line563">563: </a>}
<a name="line565">565: </a><font color="#4169E1"><a name="_n_PetscTabulation"></a>struct _n_PetscTabulation </font>{
<a name="line566">566: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> K; <font color="#B22222">/* Indicates a k-jet, namely tabulated derivatives up to order k */</font>
<a name="line567">567: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nr; <font color="#B22222">/* The number of tabulation replicas (often 1) */</font>
<a name="line568">568: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Np; <font color="#B22222">/* The number of tabulation points in a replica */</font>
<a name="line569">569: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nb; <font color="#B22222">/* The number of functions tabulated */</font>
<a name="line570">570: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> Nc; <font color="#B22222">/* The number of function components */</font>
<a name="line571">571: </a> <a href="../manualpages/Sys/PetscInt.html">PetscInt</a> cdim; <font color="#B22222">/* The coordinate dimension */</font>
<a name="line572">572: </a> <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> **T; <font color="#B22222">/* The tabulation T[K] of functions and their derivatives</font>
<a name="line573">573: </a><font color="#B22222"> T[0] = B[Nr*Np][Nb][Nc]: The basis function values at quadrature points</font>
<a name="line574">574: </a><font color="#B22222"> T[1] = D[Nr*Np][Nb][Nc][cdim]: The basis function derivatives at quadrature points</font>
<a name="line575">575: </a><font color="#B22222"> T[2] = H[Nr*Np][Nb][Nc][cdim][cdim]: The basis function second derivatives at quadrature points */</font>
<a name="line576">576: </a>};
<a name="line578">578: </a><font color="#B22222">/*S</font>
<a name="line579">579: </a><font color="#B22222"> <a href="../manualpages/DT/PetscTabulation.html">PetscTabulation</a> - PETSc object that manages tabulations for finite element methods.</font>
<a name="line581">581: </a><font color="#B22222"> Level: intermediate</font>
<a name="line583">583: </a><font color="#B22222"> Note:</font>
<a name="line584">584: </a><font color="#B22222"> This is a pointer to a C struct, hence the data in it may be accessed directly.</font>
<a name="line586">586: </a><font color="#B22222"> Fortran Note:</font>
<a name="line587">587: </a><font color="#B22222"> Use `PetscTabulationGetData()` and `PetscTabulationRestoreData()` to access the arrays in the tabulation.</font>
<a name="line589">589: </a><font color="#B22222"> Developer Note:</font>
<a name="line590">590: </a><font color="#B22222"> TODO: put the meaning of the struct fields in this manual page</font>
<a name="line592">592: </a><font color="#B22222">.seealso: `<a href="../manualpages/FE/PetscTabulationDestroy.html">PetscTabulationDestroy</a>()`, `<a href="../manualpages/FE/PetscFECreateTabulation.html">PetscFECreateTabulation</a>()`, `<a href="../manualpages/FE/PetscFEGetCellTabulation.html">PetscFEGetCellTabulation</a>()`</font>
<a name="line593">593: </a><font color="#B22222">S*/</font>
<a name="line594">594: </a><font color="#4169E1">typedef struct _n_PetscTabulation *<a href="../manualpages/DT/PetscTabulation.html">PetscTabulation</a>;</font>
<a name="line596">596: </a><strong><font color="#4169E1">typedef <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> (*PetscProbFunc)(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line598">598: </a><font color="#4169E1">typedef</font> <font color="#4169E1">enum</font> {
<a name="line599">599: </a> DTPROB_DENSITY_CONSTANT,
<a name="line600">600: </a> DTPROB_DENSITY_GAUSSIAN,
<a name="line601">601: </a> DTPROB_DENSITY_MAXWELL_BOLTZMANN,
<a name="line602">602: </a> DTPROB_NUM_DENSITY
<a name="line603">603: </a>} DTProbDensityType;
<a name="line604">604: </a>PETSC_EXTERN const char *const DTProbDensityTypes[];
<a name="line606">606: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFMaxwellBoltzmann1D.html">PetscPDFMaxwellBoltzmann1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line607">607: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFMaxwellBoltzmann1D.html">PetscCDFMaxwellBoltzmann1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line608">608: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFMaxwellBoltzmann2D.html">PetscPDFMaxwellBoltzmann2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line609">609: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFMaxwellBoltzmann2D.html">PetscCDFMaxwellBoltzmann2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line610">610: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFMaxwellBoltzmann3D.html">PetscPDFMaxwellBoltzmann3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line611">611: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFMaxwellBoltzmann3D.html">PetscCDFMaxwellBoltzmann3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line612">612: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFGaussian1D.html">PetscPDFGaussian1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line613">613: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> PetscCDFGaussian1D(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line614">614: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleGaussian1D.html">PetscPDFSampleGaussian1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line615">615: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFGaussian2D.html">PetscPDFGaussian2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line616">616: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleGaussian2D.html">PetscPDFSampleGaussian2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line617">617: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFGaussian3D.html">PetscPDFGaussian3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line618">618: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleGaussian3D.html">PetscPDFSampleGaussian3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line619">619: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFConstant1D.html">PetscPDFConstant1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line620">620: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFConstant1D.html">PetscCDFConstant1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line621">621: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleConstant1D.html">PetscPDFSampleConstant1D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line622">622: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFConstant2D.html">PetscPDFConstant2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line623">623: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFConstant2D.html">PetscCDFConstant2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line624">624: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleConstant2D.html">PetscPDFSampleConstant2D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line625">625: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFConstant3D.html">PetscPDFConstant3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line626">626: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscCDFConstant3D.html">PetscCDFConstant3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line627">627: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscPDFSampleConstant3D.html">PetscPDFSampleConstant3D</a>(const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], const <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[], <a href="../manualpages/Sys/PetscReal.html">PetscReal</a>[])</font></strong>;
<a name="line628">628: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscProbCreateFromOptions.html">PetscProbCreateFromOptions</a>(<a href="../manualpages/Sys/PetscInt.html">PetscInt</a>, const char[], const char[], PetscProbFunc *, PetscProbFunc *, PetscProbFunc *)</font></strong>;
<a name="line630">630: </a>#include <A href="../include/petscvec.h.html"><petscvec.h></A>
<a name="line632">632: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscProbComputeKSStatistic.html">PetscProbComputeKSStatistic</a>(<a href="../manualpages/Vec/Vec.html">Vec</a>, PetscProbFunc, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line633">633: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscProbComputeKSStatisticWeighted.html">PetscProbComputeKSStatisticWeighted</a>(<a href="../manualpages/Vec/Vec.html">Vec</a>, <a href="../manualpages/Vec/Vec.html">Vec</a>, PetscProbFunc, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
<a name="line634">634: </a><strong><font color="#4169E1">PETSC_EXTERN <a href="../manualpages/Sys/PetscErrorCode.html">PetscErrorCode</a> <a href="../manualpages/DT/PetscProbComputeKSStatisticMagnitude.html">PetscProbComputeKSStatisticMagnitude</a>(<a href="../manualpages/Vec/Vec.html">Vec</a>, PetscProbFunc, <a href="../manualpages/Sys/PetscReal.html">PetscReal</a> *)</font></strong>;
</pre>
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