1 /*****************************************************************************
2 ** This is part of the CTSim program
3 ** Copyright (c) 1983-2001 Kevin Rosenberg
7 ** This program is free software; you can redistribute it and/or modify
8 ** it under the terms of the GNU General Public License (version 2) as
9 ** published by the Free Software Foundation.
11 ** This program is distributed in the hope that it will be useful,
12 ** but WITHOUT ANY WARRANTY; without even the implied warranty of
13 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 ** GNU General Public License for more details.
16 ** You should have received a copy of the GNU General Public License
17 ** along with this program; if not, write to the Free Software
18 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19 ******************************************************************************/
22 class CubicSplineInterpolator {
24 double *m_pdY2; // second differential of y data
26 const double* const m_pdY;
30 CubicSplineInterpolator (const double* const y, int n);
32 ~CubicSplineInterpolator ();
34 double interpolate (double x);
38 class CubicPolyInterpolator {
40 const double* const m_pdY;
44 CubicPolyInterpolator (const double* const y, int n);
46 ~CubicPolyInterpolator ();
48 double interpolate (double x);
53 class BilinearInterpolator {
60 BilinearInterpolator (T** ppMatrix, unsigned int nx, unsigned int ny)
61 : m_ppMatrix(ppMatrix), m_nx(nx), m_ny(ny)
64 T interpolate (double dXPos, double dYPos)
66 int iFloorX = static_cast<int>(floor(dXPos));
67 int iFloorY = static_cast<int>(floor (dYPos));
68 double dXFrac = dXPos - iFloorX;
69 double dYFrac = dYPos - iFloorY;
73 if (iFloorX < 0 || iFloorY < 0 || iFloorX > m_nx-1 || iFloorY > m_ny-1)
75 else if (iFloorX == m_nx - 1 && iFloorY == m_ny - 1)
76 result = static_cast<T>(m_ppMatrix[m_nx-1][m_ny-1]);
77 else if (iFloorX == m_nx - 1)
78 result = static_cast<T>(m_ppMatrix[iFloorX][iFloorY] + dYFrac * (m_ppMatrix[iFloorX][iFloorY+1] - m_ppMatrix[iFloorX][iFloorY]));
79 else if (iFloorY == m_ny - 1)
80 result = static_cast<T>(m_ppMatrix[iFloorX][iFloorY] + dXFrac * (m_ppMatrix[iFloorX+1][iFloorY] - m_ppMatrix[iFloorX][iFloorY]));
82 result = static_cast<T>
83 ((1 - dXFrac) * (1 - dYFrac) * m_ppMatrix[iFloorX][iFloorY] +
84 dXFrac * (1 - dYFrac) * m_ppMatrix[iFloorX+1][iFloorY] +
85 dYFrac * (1 - dXFrac) * m_ppMatrix[iFloorX][iFloorY+1] +
86 dXFrac * dYFrac * m_ppMatrix[iFloorX+1][iFloorY+1]);
94 class BilinearPolarInterpolator {
102 BilinearPolarInterpolator (T** ppMatrix, unsigned int nAngle,
104 : m_ppMatrix(ppMatrix), m_nAngle(nAngle), m_nPos(nPos)
107 m_nCenterPos = (m_nPos - 1) / 2;
109 m_nCenterPos = m_nPos / 2;
112 T interpolate (double dAngle, double dPos)
114 int iFloorAngle = static_cast<int>(floor(dAngle));
115 int iFloorPos = static_cast<int>(floor (dPos));
116 double dAngleFrac = dAngle - iFloorAngle;
117 double dPosFrac = dPos - iFloorPos;
121 if (iFloorAngle < -1 || iFloorPos < 0 || iFloorAngle > m_nAngle-1 || iFloorPos > m_nPos-1)
123 else if (iFloorAngle == -1 && iFloorPos == m_nPos-1)
124 result = static_cast<T>(m_ppMatrix[0][m_nPos-1] + dAngleFrac * (m_ppMatrix[m_nAngle-1][iFloorPos] - m_ppMatrix[0][iFloorPos]));
125 else if (iFloorAngle == m_nAngle - 1 && iFloorPos == m_nPos-1)
126 result = static_cast<T>(m_ppMatrix[m_nAngle-1][m_nPos-1] + dAngleFrac * (m_ppMatrix[0][iFloorPos] - m_ppMatrix[m_nAngle-1][iFloorPos]));
127 else if (iFloorPos == m_nPos - 1)
128 result = static_cast<T>(m_ppMatrix[iFloorAngle][iFloorPos] + dAngleFrac * (m_ppMatrix[iFloorAngle+1][iFloorPos] - m_ppMatrix[iFloorAngle][iFloorPos]));
130 if (iFloorAngle == m_nAngle-1) {
132 int iLowerPos = (m_nPos-1) - iFloorPos;
133 int iUpperPos = (m_nPos-1) - (iFloorPos+1);
134 result = static_cast<T>
135 ((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iFloorAngle][iFloorPos] +
136 dAngleFrac * (1-dPosFrac) * m_ppMatrix[iUpperAngle][iLowerPos] +
137 dPosFrac * (1-dAngleFrac) * m_ppMatrix[iFloorAngle][iFloorPos+1] +
138 dAngleFrac * dPosFrac * m_ppMatrix[iUpperAngle][iUpperPos]);
139 } else if (iFloorAngle == -1) {
140 int iLowerAngle = m_nAngle - 1;
141 int iLowerPos = (m_nPos-1) - iFloorPos;
142 int iUpperPos = (m_nPos-1) - (iFloorPos+1);
143 result = static_cast<T>
144 ((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iLowerAngle][iLowerPos] +
145 dAngleFrac * (1-dPosFrac) * m_ppMatrix[iFloorAngle+1][iFloorPos] +
146 dPosFrac * (1-dAngleFrac) * m_ppMatrix[iLowerAngle][iUpperPos] +
147 dAngleFrac * dPosFrac * m_ppMatrix[iFloorAngle+1][iFloorPos+1]);
149 result = static_cast<T>
150 ((1-dAngleFrac) * (1-dPosFrac) * m_ppMatrix[iFloorAngle][iFloorPos] +
151 dAngleFrac * (1-dPosFrac) * m_ppMatrix[iFloorAngle+1][iFloorPos] +
152 dPosFrac * (1-dAngleFrac) * m_ppMatrix[iFloorAngle][iFloorPos+1] +
153 dAngleFrac * dPosFrac * m_ppMatrix[iFloorAngle+1][iFloorPos+1]);
161 class BicubicPolyInterpolator {
163 T** const m_ppMatrix;
164 const unsigned int m_nx;
165 const unsigned int m_ny;
168 BicubicPolyInterpolator (T** ppMatrix, unsigned int nx, unsigned int ny)
169 : m_ppMatrix(ppMatrix), m_nx(nx), m_ny(ny)
172 T interpolate (double dXPos, double dYPos)
174 // int iFloorX = static_cast<int>(floor (dXPos));
175 // int iFloorY = static_cast<int>(floor (dYPos));
176 // double dXFrac = dXPos - iFloorX;
177 // double dYFrac = dYPos - iFloorY;
189 class LinearInterpolator {
194 const bool m_bZeroOutsideRange;
197 LinearInterpolator (T* pY, unsigned int n, bool bZeroOutside = true)
198 : m_pX(0), m_pY(pY), m_n(n), m_bZeroOutsideRange(bZeroOutside)
201 LinearInterpolator (T* pX, T* pY, unsigned int n, bool bZeroOutside = true)
202 : m_pX(pX), m_pY(pY), m_n(n), m_bZeroOutsideRange(bZeroOutside)
205 double interpolate (double dX, int* piLastFloor = NULL)
213 if (m_bZeroOutsideRange)
217 } else if (dX == m_n - 1)
218 result = m_pY[m_n-1];
219 else if (dX > m_n - 1) {
220 if (m_bZeroOutsideRange)
223 result = m_pY[m_n - 1];
225 int iFloor = static_cast<int>(floor(dX));
226 result = m_pY[iFloor] + (m_pY[iFloor+1] - m_pY[iFloor]) * (dX - iFloor);
231 if (piLastFloor && *piLastFloor >= 0 && m_pX[*piLastFloor] < dX)
232 iLower = *piLastFloor;
234 while (iUpper - iLower > 1) {
235 int iMiddle = (iUpper + iLower) >> 1;
236 if (dX >= m_pX[iMiddle])
243 else if (dX < m_pX[0]) {
244 if (m_bZeroOutsideRange)
248 } else if (dX == m_pX[m_n-1])
249 result = m_pY[m_n-1];
250 else if (dX > m_pX[m_n - 1]) {
251 if (m_bZeroOutsideRange)
254 result = m_pY[m_n - 1];
256 if (iLower < 0 || iLower >= m_n) {
257 sys_error (ERR_SEVERE, "Coordinate out of range [linearInterpolate]");
262 *piLastFloor = iLower;
263 result = m_pY[iLower] + (m_pY[iUpper] - m_pY[iLower]) * ((dX - m_pX[iLower]) / (m_pX[iUpper] - m_pX[iLower]));