/usr/include/gmsh/polynomialBasis.h is in libgmsh-dev 2.15.0+dfsg1-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 | // Gmsh - Copyright (C) 1997-2016 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// bugs and problems to the public mailing list <gmsh@onelab.info>.
#ifndef _POLYNOMIAL_BASIS_H_
#define _POLYNOMIAL_BASIS_H_
#include <math.h>
#include <map>
#include <vector>
#include "fullMatrix.h"
#include "nodalBasis.h"
#include <iostream>
inline double pow_int(const double &a, const int &n)
{
switch (n) {
case 0 : return 1.0;
case 1 : return a;
case 2 : return a*a;
case 3 : return a*a*a;
case 4 :
{
const double a2 = a*a;
return a2*a2;
}
case 5 :
{
const double a2 = a*a;
return a2*a2*a;
}
case 6 :
{
const double a3 = a*a*a;
return a3*a3;
}
case 7 :
{
const double a3 = a*a*a;
return a3*a3*a;
}
case 8 :
{
const double a2 = a*a;
const double a4 = a2*a2;
return a4*a4;
}
case 9 :
{
const double a3 = a*a*a;
return a3*a3*a3;
}
case 10 :
{
const double a2 = a*a;
const double a4 = a2*a2;
return a4*a4*a2;
}
default :
return pow_int(a, n-9) * pow_int(a, 9);
}
}
inline double pow_int(const double &a, const double &d)
{
// Round double !
int n = static_cast<int>(d + .5);
return pow_int(a, n);
}
class polynomialBasis : public nodalBasis
{
public:
// for now the only implemented polynomial basis are nodal poly
// basis, we use the type of the corresponding gmsh element as type
fullMatrix<double> monomials;
fullMatrix<double> coefficients;
polynomialBasis() {};
polynomialBasis(int tag);
~polynomialBasis();
virtual inline int getNumShapeFunctions() const {return coefficients.size1();}
virtual void f(double u, double v, double w, double *sf) const;
virtual void f(const fullMatrix<double> &coord, fullMatrix<double> &sf) const;
virtual void df(const fullMatrix<double> &coord, fullMatrix<double> &dfm) const;
virtual void df(double u, double v, double w, double grads[][3]) const;
virtual void ddf(double u, double v, double w, double hess[][3][3]) const;
virtual void dddf(double u, double v, double w, double third[][3][3][3]) const;
void evaluateMonomials(double u, double v, double w, double p[]) const;
};
#endif
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