/usr/include/trilinos/Stokhos_HermiteBasis.hpp is in libtrilinos-stokhos-dev 12.4.2-2.
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 | // $Id$
// $Source$
// @HEADER
// ***********************************************************************
//
// Stokhos Package
// Copyright (2009) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact Eric T. Phipps (etphipp@sandia.gov).
//
// ***********************************************************************
// @HEADER
#ifndef STOKHOS_HERMITEBASIS_HPP
#define STOKHOS_HERMITEBASIS_HPP
#include "Stokhos_RecurrenceBasis.hpp"
namespace Stokhos {
//! Hermite polynomial basis
/*!
* Hermite polynomials are defined by the recurrence relationship
* \f[
* \psi_{k+1}(x) = x\psi_{k}(x) - k\psi_{k-1}(x)
* \f]
* with \f$\psi_{-1}(x) = 0\f$ and \f$\psi_{0}(x) = 1\f$. The corresponding
* density function is
* \f[
* \rho(x) = \frac{1}{\sqrt{2\pi}}e^{\frac{-x^2}{2}}.
* \f]
*
* This class implements computeRecurrenceCoefficients() using the
* above formula.
*/
template <typename ordinal_type, typename value_type>
class HermiteBasis :
public RecurrenceBasis<ordinal_type, value_type> {
public:
//! Constructor
/*!
* \param p order of the basis
* \param normalize whether polynomials should be given unit norm
*/
HermiteBasis(ordinal_type p, bool normalize = false,
GrowthPolicy growth = SLOW_GROWTH);
//! Destructor
~HermiteBasis();
//! \name Implementation of Stokhos::OneDOrthogPolyBasis methods
//@{
/*!
* \brief Clone this object with the option of building a higher order
* basis.
*/
/*!
* This method is following the Prototype pattern (see Design Pattern's textbook).
* The slight variation is that it allows the order of the polynomial to be modified,
* otherwise an exact copy is formed. The use case for this is creating basis functions
* for column indices in a spatially varying adaptive refinement context.
*/
virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> > cloneWithOrder(ordinal_type p) const;
//@}
protected:
//! \name Implementation of Stokhos::RecurrenceBasis methods
//@{
//! Compute recurrence coefficients
virtual bool
computeRecurrenceCoefficients(ordinal_type n,
Teuchos::Array<value_type>& alpha,
Teuchos::Array<value_type>& beta,
Teuchos::Array<value_type>& delta,
Teuchos::Array<value_type>& gamma) const;
//@}
//! Copy constructor with specified order
HermiteBasis(ordinal_type p, const HermiteBasis& basis);
private:
// Prohibit copying
HermiteBasis(const HermiteBasis&);
// Prohibit Assignment
HermiteBasis& operator=(const HermiteBasis& b);
}; // class HermiteBasis
} // Namespace Stokhos
// Include template definitions
#include "Stokhos_HermiteBasisImp.hpp"
#endif
|