pointsGenerators.h

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// Gmsh - Copyright (C) 1997-2022 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file in the Gmsh root directory for license information.
// Please report all issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
 
#ifndef POINTSGENERATORS_H
#define POINTSGENERATORS_H
 
#include "fullMatrix.h"
 
class FuncSpaceData;
 
// Functions to generate point distributions on the references elements, for all
// orders and functions generating exponents of Pascal monomials in the same
// order than Gmsh Points.
 
// Points
 
void gmshGeneratePoints(FuncSpaceData, fullMatrix<double> &);
 
fullMatrix<double> gmshGeneratePointsLine(int order);
 
fullMatrix<double> gmshGeneratePointsTriangle(int order, bool serendip = false);
fullMatrix<double> gmshGeneratePointsQuadrangle(int order,
                                                bool serendip = false);
 
fullMatrix<double> gmshGeneratePointsTetrahedron(int order,
                                                 bool serendip = false);
fullMatrix<double> gmshGeneratePointsHexahedron(int order,
                                                bool serendip = false);
fullMatrix<double> gmshGeneratePointsPrism(int order, bool serendip = false);
 
fullMatrix<double> gmshGeneratePointsPyramid(int order, bool serendip = false);
fullMatrix<double> gmshGeneratePointsPyramidGeneral(bool pyr, int nij, int nk,
                                                    bool serendip = false);
 
// Monomial exponents
 
void gmshGenerateMonomials(FuncSpaceData, fullMatrix<double> &);
 
fullMatrix<double> gmshGenerateMonomialsLine(int order, bool serendip = false);
 
fullMatrix<double> gmshGenerateMonomialsTriangle(int order,
                                                 bool serendip = false);
fullMatrix<double>
gmshGenerateMonomialsQuadrangle(int order, bool forSerendipPoints = false);
fullMatrix<double> gmshGenerateMonomialsQuadSerendipity(int order);
 
fullMatrix<double> gmshGenerateMonomialsTetrahedron(int order,
                                                    bool serendip = false);
fullMatrix<double>
gmshGenerateMonomialsHexahedron(int order, bool forSerendipPoints = false);
fullMatrix<double> gmshGenerateMonomialsHexaSerendipity(int order);
fullMatrix<double> gmshGenerateMonomialsPrism(int order,
                                              bool forSerendipPoints = false);
fullMatrix<double> gmshGenerateMonomialsPrismSerendipity(int order);
 
// Generate monomials of pyramidal nodal space {X^i Y^j Z^k | i,j <= k, k <=
// 'order'},
fullMatrix<double> gmshGenerateMonomialsPyramid(int order,
                                                bool forSerendipPoints = false);
fullMatrix<double> gmshGenerateMonomialsPyramidSerendipity(int order);
// If 'serendip' == true,
//   generate monomials of serendipity pyramid at order 'nk',
// else if 'pyr' == true,
//   generate monomials of space {X^i Y^j Z^k | i,j <= k+'nij', k <= 'nk'},
// else if 'pyr' == false,
//   generate monomials of space {X^i Y^j Z^k | i,j <= 'nij', k <= 'nk'}
fullMatrix<double>
gmshGenerateMonomialsPyramidGeneral(bool pyr, int nij, int nk,
                                    bool forSerendipPoints = false);
 
// Ordered points (and monomials)
// This order is used for expanding a function into Bezier basis: it allows
// the efficient conversion of Lagrange coefficients to Bezier coefficients
// (in method bezierCoeff::_computeCoefficients(..))
 
void gmshGenerateOrderedPointsLine(int order, fullVector<double> &);
 
void gmshGenerateOrderedPoints(FuncSpaceData data, fullMatrix<double> &points,
                               bool onBezierDomain = false);
 
void gmshGenerateOrderedMonomials(FuncSpaceData, fullMatrix<double> &);
 
#endif