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/*****************************************************************************
** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
** $Id: interpolator.h 7061 2003-09-07 06:34:45Z kevin $
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License (version 2) as
** published by the Free Software Foundation.
**
** This program is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
** GNU General Public License for more details.
**
** You should have received a copy of the GNU General Public License
** along with this program; if not, write to the Free Software
** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
******************************************************************************/
class CubicSplineInterpolator {
private:
double *m_pdY2; // second differential of y data
const double* const m_pdY;
const int m_n;
public:
CubicSplineInterpolator (const double* const y, int n);
~CubicSplineInterpolator ();
double interpolate (double x);
};
class CubicPolyInterpolator {
private:
const double* const m_pdY;
const int m_n;
public:
CubicPolyInterpolator (const double* const y, int n);
~CubicPolyInterpolator ();
double interpolate (double x);
};
template<class T>
class BilinearInterpolator {
private:
T** const m_ppMatrix;
const int m_nx;
const int m_ny;
public:
BilinearInterpolator (T** ppMatrix, unsigned int nx, unsigned int ny)
: m_ppMatrix(ppMatrix), m_nx(nx), m_ny(ny)
{}
T interpolate (double dXPos, double dYPos)
{
int iFloorX = static_cast<int>(floor(dXPos));
int iFloorY = static_cast<int>(floor (dYPos));
double dXFrac = dXPos - iFloorX;
double dYFrac = dYPos - iFloorY;
T result = 0;
if (iFloorX < 0 || iFloorY < 0 || iFloorX > m_nx-1 || iFloorY > m_ny-1)
result = 0;
else if (iFloorX == m_nx - 1 && iFloorY == m_ny - 1)
result = static_cast<T>(m_ppMatrix[m_nx-1][m_ny-1]);
else if (iFloorX == m_nx - 1)
result = static_cast<T>(m_ppMatrix[iFloorX][iFloorY] + dYFrac * (m_ppMatrix[iFloorX][iFloorY+1] - m_ppMatrix[iFloorX][iFloorY]));
else if (iFloorY == m_ny - 1)
result = static_cast<T>(m_ppMatrix[iFloorX][iFloorY] + dXFrac * (m_ppMatrix[iFloorX+1][iFloorY] - m_ppMatrix[iFloorX][iFloorY]));
else
result = static_cast<T>
((1 - dXFrac) * (1 - dYFrac) * m_ppMatrix[iFloorX][iFloorY] +
dXFrac * (1 - dYFrac) * m_ppMatrix[iFloorX+1][iFloorY] +
dYFrac * (1 - dXFrac) * m_ppMatrix[iFloorX][iFloorY+1] +
dXFrac * dYFrac * m_ppMatrix[iFloorX+1][iFloorY+1]);
return result;
}
};
template<class T>
class BilinearPolarInterpolator {
private:
T** const m_ppMatrix;
const int m_nAngle;
const int m_nPos;
int m_nCenterPos;
public:
BilinearPolarInterpolator (T** ppMatrix, unsigned int nAngle,
unsigned int nPos)
: m_ppMatrix(ppMatrix), m_nAngle(nAngle), m_nPos(nPos)
{
if (m_nPos %2)
m_nCenterPos = (m_nPos - 1) / 2;
else
m_nCenterPos = m_nPos / 2;
}
T interpolate (double dAngle, double dPos)
{
int iFloorAngle = static_cast<int>(floor(dAngle));
int iFloorPos = static_cast<int>(floor (dPos));
double dAngleFrac = dAngle - iFloorAngle;
double dPosFrac = dPos - iFloorPos;
T result = 0;
if (iFloorAngle < -1 || iFloorPos < 0 || iFloorAngle > m_nAngle-1 || iFloorPos > m_nPos-1)
result = 0;
else if (iFloorAngle == -1 && iFloorPos == m_nPos-1)
result = static_cast<T>(m_ppMatrix[0][m_nPos-1] + dAngleFrac * (m_ppMatrix[m_nAngle-1][iFloorPos] - m_ppMatrix[0][iFloorPos]));
else if (iFloorAngle == m_nAngle - 1 && iFloorPos == m_nPos-1)
result = static_cast<T>(m_ppMatrix[m_nAngle-1][m_nPos-1] + dAngleFrac * (m_ppMatrix[0][iFloorPos] - m_ppMatrix[m_nAngle-1][iFloorPos]));
else if (iFloorPos == m_nPos - 1)
result = static_cast<T>(m_ppMatrix[iFloorAngle][iFloorPos] + dAngleFrac * (m_ppMatrix[iFloorAngle+1][iFloorPos] - m_ppMatrix[iFloorAngle][iFloorPos]));
else {
if (iFloorAngle == m_nAngle-1) {
int iUpperAngle = 0;
int iLowerPos = (m_nPos-1) - iFloorPos;
int iUpperPos = (m_nPos-1) - (iFloorPos+1);
result = static_cast<T>
((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iFloorAngle][iFloorPos] +
dAngleFrac * (1-dPosFrac) * m_ppMatrix[iUpperAngle][iLowerPos] +
dPosFrac * (1-dAngleFrac) * m_ppMatrix[iFloorAngle][iFloorPos+1] +
dAngleFrac * dPosFrac * m_ppMatrix[iUpperAngle][iUpperPos]);
} else if (iFloorAngle == -1) {
int iLowerAngle = m_nAngle - 1;
int iLowerPos = (m_nPos-1) - iFloorPos;
int iUpperPos = (m_nPos-1) - (iFloorPos+1);
result = static_cast<T>
((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iLowerAngle][iLowerPos] +
dAngleFrac * (1-dPosFrac) * m_ppMatrix[iFloorAngle+1][iFloorPos] +
dPosFrac * (1-dAngleFrac) * m_ppMatrix[iLowerAngle][iUpperPos] +
dAngleFrac * dPosFrac * m_ppMatrix[iFloorAngle+1][iFloorPos+1]);
} else
result = static_cast<T>
((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iFloorAngle][iFloorPos] +
dAngleFrac * (1-dPosFrac) * m_ppMatrix[iFloorAngle+1][iFloorPos] +
dPosFrac * (1-dAngleFrac) * m_ppMatrix[iFloorAngle][iFloorPos+1] +
dAngleFrac * dPosFrac * m_ppMatrix[iFloorAngle+1][iFloorPos+1]);
}
return result;
}
};
template<class T>
class BicubicPolyInterpolator {
private:
T** const m_ppMatrix;
const unsigned int m_nx;
const unsigned int m_ny;
public:
BicubicPolyInterpolator (T** ppMatrix, unsigned int nx, unsigned int ny)
: m_ppMatrix(ppMatrix), m_nx(nx), m_ny(ny)
{}
T interpolate (double dXPos, double dYPos)
{
// int iFloorX = static_cast<int>(floor (dXPos));
// int iFloorY = static_cast<int>(floor (dYPos));
// double dXFrac = dXPos - iFloorX;
// double dYFrac = dYPos - iFloorY;
T result = 0;
// Need to add code
return result;
}
};
template<class T>
class LinearInterpolator {
private:
T* const m_pX;
T* const m_pY;
const int m_n;
const bool m_bZeroOutsideRange;
public:
LinearInterpolator (T* pY, unsigned int n, bool bZeroOutside = true)
: m_pX(0), m_pY(pY), m_n(n), m_bZeroOutsideRange(bZeroOutside)
{}
LinearInterpolator (T* pX, T* pY, unsigned int n, bool bZeroOutside = true)
: m_pX(pX), m_pY(pY), m_n(n), m_bZeroOutsideRange(bZeroOutside)
{}
double interpolate (double dX, int* piLastFloor = NULL)
{
double result = 0;
if (! m_pX) {
if (dX == 0)
result = m_pY[0];
else if (dX < 0) {
if (m_bZeroOutsideRange)
result = 0;
else
result = m_pY[0];
} else if (dX == m_n - 1)
result = m_pY[m_n-1];
else if (dX > m_n - 1) {
if (m_bZeroOutsideRange)
result = 0;
else
result = m_pY[m_n - 1];
} else {
int iFloor = static_cast<int>(floor(dX));
result = m_pY[iFloor] + (m_pY[iFloor+1] - m_pY[iFloor]) * (dX - iFloor);
}
} else {
int iLower = -1;
int iUpper = m_n;
if (piLastFloor && *piLastFloor >= 0 && m_pX[*piLastFloor] < dX)
iLower = *piLastFloor;
while (iUpper - iLower > 1) {
int iMiddle = (iUpper + iLower) >> 1;
if (dX >= m_pX[iMiddle])
iLower = iMiddle;
else
iUpper = iMiddle;
}
if (dX == m_pX[0])
result = m_pY[0];
else if (dX < m_pX[0]) {
if (m_bZeroOutsideRange)
result = 0;
else
result = m_pY[0];
} else if (dX == m_pX[m_n-1])
result = m_pY[m_n-1];
else if (dX > m_pX[m_n - 1]) {
if (m_bZeroOutsideRange)
result = 0;
else
result = m_pY[m_n - 1];
} else {
if (iLower < 0 || iLower >= m_n) {
sys_error (ERR_SEVERE, "Coordinate out of range [linearInterpolate]");
return 0;
}
if (piLastFloor)
*piLastFloor = iLower;
result = m_pY[iLower] + (m_pY[iUpper] - m_pY[iLower]) * ((dX - m_pX[iLower]) / (m_pX[iUpper] - m_pX[iLower]));
}
}
return result;
}
};
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