avtShapeletBasis1D.C 4.08 KB
Newer Older
1 2
/*****************************************************************************
*
3
* Copyright (c) 2000 - 2012, Lawrence Livermore National Security, LLC
4
* Produced at the Lawrence Livermore National Laboratory
5
* LLNL-CODE-442911
6 7
* All rights reserved.
*
8
* This file is  part of VisIt. For  details, see https://visit.llnl.gov/.  The
9 10 11 12 13 14 15 16 17 18
* full copyright notice is contained in the file COPYRIGHT located at the root
* of the VisIt distribution or at http://www.llnl.gov/visit/copyright.html.
*
* Redistribution  and  use  in  source  and  binary  forms,  with  or  without
* modification, are permitted provided that the following conditions are met:
*
*  - Redistributions of  source code must  retain the above  copyright notice,
*    this list of conditions and the disclaimer below.
*  - Redistributions in binary form must reproduce the above copyright notice,
*    this  list of  conditions  and  the  disclaimer (as noted below)  in  the
19 20 21
*    documentation and/or other materials provided with the distribution.
*  - Neither the name of  the LLNS/LLNL nor the names of  its contributors may
*    be used to endorse or promote products derived from this software without
22 23 24 25 26
*    specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT  HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR  IMPLIED WARRANTIES, INCLUDING,  BUT NOT  LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND  FITNESS FOR A PARTICULAR  PURPOSE
27 28 29
* ARE  DISCLAIMED. IN  NO EVENT  SHALL LAWRENCE  LIVERMORE NATIONAL  SECURITY,
* LLC, THE  U.S.  DEPARTMENT OF  ENERGY  OR  CONTRIBUTORS BE  LIABLE  FOR  ANY
* DIRECT,  INDIRECT,   INCIDENTAL,   SPECIAL,   EXEMPLARY,  OR   CONSEQUENTIAL
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
* 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.
*
*****************************************************************************/

#include <avtShapeletBasis1D.h>
#include <avtHermitePolynomial.h>
#include <avtFactorial.h>
#include <math.h>
 using namespace std;

// ****************************************************************************
//  Method:  avtShapeletBasis1D::avtShapeletBasis1D
//
//  Purpose:
//     Constructs a sampled 1D Shapelet Basis function with given paramters.
//
//  Arguments:
//     beta      characteristic scale
//     n         basis order
//     length    sample length
//
//  Programmer:  Cyrus Harrison
//  Creation:    December 6, 2007
//
// ****************************************************************************

avtShapeletBasis1D::avtShapeletBasis1D(double beta,
                                       int n,
                                       int length)
: beta(beta), n(n), length(length)
{
    double sqrt_pi = 1.77245385;
    double e       = 2.71828183;
    
    doubleVector samples;
    samples.resize(length);
    values.resize(length);

    // create the proper hermite poly
    avtHermitePolynomial hermite(n);

    // create samples
    double val = -length/2;
    for(int i=0;i<length;i++)
    {
        samples[i] = val/ beta;
        val++;
    }

    // eval the hermite poly over the range
    hermite.Eval(samples,values);
    
    // apply the gaussian mult to transform the hermite result into a
    // shaplet
    
    double pre=sqrt(beta*pow(2.0,(double)n)*sqrt_pi*avtFactorial::Eval(n));
    pre = 1.0 / pre;
    double exp = 0;
    for(int i=0;i<length;i++)
    {
        exp = pow(e,samples[i] * samples[i]/-2.0);
        values[i] = pre * values[i] * exp;
    }
}

// ****************************************************************************
//  Method:  avtShapeletBasis1D::~avtShapeletBasis1D
//
//  Purpose:
//     Shapelet 1D Basis destructor.
//
//  Programmer:  Cyrus Harrison
//  Creation:    December 6, 2007
//
// ****************************************************************************

avtShapeletBasis1D::~avtShapeletBasis1D()
{;}