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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#include "Wm5MathematicsPCH.h"
#include "Wm5IntpAkima1.h"
#include "Wm5Math.h"
#include "Wm5Memory.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntpAkima1<Real>::IntpAkima1 (int quantity, Real* F)
{
// At least three data points are needed to construct the estimates of
// the boundary derivatives.
assertion(quantity >= 3 && F, "Invalid input\n");
mQuantity = quantity;
mF = F;
mPoly = new1<Polynomial>(quantity - 1 );
}
//----------------------------------------------------------------------------
template <typename Real>
IntpAkima1<Real>::~IntpAkima1 ()
{
delete1(mPoly);
}
//----------------------------------------------------------------------------
template <typename Real>
int IntpAkima1<Real>::GetQuantity () const
{
return mQuantity;
}
//----------------------------------------------------------------------------
template <typename Real>
const Real* IntpAkima1<Real>::GetF () const
{
return mF;
}
//----------------------------------------------------------------------------
template <typename Real>
const typename IntpAkima1<Real>::Polynomial*
IntpAkima1<Real>::GetPolynomials () const
{
return mPoly;
}
//----------------------------------------------------------------------------
template <typename Real>
const typename IntpAkima1<Real>::Polynomial&
IntpAkima1<Real>::GetPolynomial (int i) const
{
return mPoly[i];
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpAkima1<Real>::ComputeDerivative (Real* slope) const
{
if (slope[1] != slope[2])
{
if (slope[0] != slope[1])
{
if (slope[2] != slope[3])
{
Real ad0 = Math<Real>::FAbs(slope[3] - slope[2]);
Real ad1 = Math<Real>::FAbs(slope[0] - slope[1]);
return (ad0*slope[1] + ad1*slope[2])/(ad0+ad1);
}
else
{
return slope[2];
}
}
else
{
if (slope[2] != slope[3])
{
return slope[1];
}
else
{
return ((Real)0.5)*(slope[1] + slope[2]);
}
}
}
else
{
return slope[1];
}
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpAkima1<Real>::operator() (Real x) const
{
int index;
Real dx;
if (Lookup(x, index, dx))
{
return mPoly[index](dx);
}
return Math<Real>::MAX_REAL;
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpAkima1<Real>::operator() (int order, Real x) const
{
int index;
Real dx;
if (Lookup(x, index, dx))
{
return mPoly[index](order, dx);
}
return Math<Real>::MAX_REAL;
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// IntpAkima1::Polynomial
//----------------------------------------------------------------------------
template <typename Real>
Real IntpAkima1<Real>::Polynomial::operator() (Real x) const
{
return mCoeff[0] + x*(mCoeff[1] + x*(mCoeff[2] + x*mCoeff[3]));
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpAkima1<Real>::Polynomial::operator() (int order, Real x) const
{
switch (order)
{
case 0:
return mCoeff[0] + x*(mCoeff[1] + x*(mCoeff[2] + x*mCoeff[3]));
case 1:
return mCoeff[1] + x*(((Real)2)*mCoeff[2] + x*((Real)3)*mCoeff[3]);
case 2:
return ((Real)2)*mCoeff[2] + x*((Real)6)*mCoeff[3];
case 3:
return ((Real)6)*mCoeff[3];
}
return (Real)0;
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntpAkima1<float>;
template WM5_MATHEMATICS_ITEM
class IntpAkima1<double>;
//----------------------------------------------------------------------------
}
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