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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include "im2interpdef.h"
include <math/iminterp.h>
# MSIFIT -- MSIFIT calculates the coefficients of the interpolant.
# With the exception of the bicubic spline interpolant the coefficients
# are stored as the data points. The 2D B-spline coefficients are
# calculated using the routines II_SPLINE2D. MSIFIT checks that the
# dimensions of the data array are appropriate for the interpolant selected
# and allocates space for the coefficient array.
# Boundary extension is performed using boundary projection.
procedure msifit (msi, datain, nxpix, nypix, len_datain)
pointer msi # pointer to interpolant descriptor structure
real datain[len_datain,ARB] # data array
int nxpix # number of points in the x dimension
int nypix # number of points in the y dimension
int len_datain # row length of datain
int i, j
pointer fptr, nptr, rptr
pointer tmp
pointer rptrf[FNROWS]
pointer rptrl[LNROWS]
errchk calloc, mfree
begin
# check the row length of datain
if (len_datain < nxpix)
call error (0, "MSIFIT: Row length of datain too small.")
# check that the number of data points in x and y is
# appropriate for the interpolant type selected and
# allocate space for the coefficient array allowing
# sufficient storage for boundary extension
switch (MSI_TYPE(msi)) {
case II_BINEAREST:
if (nxpix < 1 || nypix < 1) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix
MSI_NYCOEFF(msi) = nypix
MSI_FSTPNT(msi) = 0
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call malloc (MSI_COEFF(msi), nxpix * nypix, TY_REAL)
}
case II_BILINEAR, II_BIDRIZZLE:
if (nxpix < 2 || nypix < 2) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix + 1
MSI_NYCOEFF(msi) = nypix + 1
MSI_FSTPNT(msi) = 0
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call malloc (MSI_COEFF(msi),
MSI_NXCOEFF(msi) * MSI_NYCOEFF(msi), TY_REAL)
}
case II_BIPOLY3:
if (nxpix < 4 || nypix < 4) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix + 3
MSI_NYCOEFF(msi) = nypix + 3
MSI_FSTPNT(msi) = MSI_NXCOEFF(msi) + 1
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call malloc (MSI_COEFF(msi),
MSI_NXCOEFF(msi) * MSI_NYCOEFF(msi), TY_REAL)
}
case II_BIPOLY5:
if (nxpix < 6 || nypix < 6) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix + 5
MSI_NYCOEFF(msi) = nypix + 5
MSI_FSTPNT(msi) = 2 * MSI_NXCOEFF(msi) + 2
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call malloc (MSI_COEFF(msi),
MSI_NXCOEFF(msi) * MSI_NYCOEFF(msi), TY_REAL)
}
case II_BISPLINE3:
if (nxpix < 4 || nypix < 4) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix + 3
MSI_NYCOEFF(msi) = nypix + 3
MSI_FSTPNT(msi) = MSI_NXCOEFF(msi) + 1
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call calloc (MSI_COEFF(msi),
MSI_NXCOEFF(msi) * MSI_NYCOEFF(msi), TY_REAL)
}
case II_BISINC, II_BILSINC:
if (nxpix < 1 || nypix < 1) {
call error (0, "MSIFIT: Too few data points.")
return
} else {
MSI_NXCOEFF(msi) = nxpix
MSI_NYCOEFF(msi) = nypix
MSI_FSTPNT(msi) = 0
if (MSI_COEFF(msi) != NULL)
call mfree (MSI_COEFF(msi), TY_REAL)
call calloc (MSI_COEFF(msi), nxpix * nypix, TY_REAL)
}
}
# index the coefficient pointer so that COEFF(fptr+1) points to the
# first data point in the coefficient array
fptr = MSI_COEFF(msi) - 1 + MSI_FSTPNT(msi)
# load data into coefficient array
rptr = fptr
do j = 1, nypix {
call amovr (datain[1,j], COEFF(rptr+1), nxpix)
rptr = rptr + MSI_NXCOEFF(msi)
}
# calculate the coefficients of the interpolant
# boundary extension is performed using boundary projection
switch (MSI_TYPE(msi)) {
case II_BINEAREST, II_BISINC, II_BILSINC:
# no end conditions necessary, coefficients stored as data
case II_BILINEAR, II_BIDRIZZLE:
# extend the rows
rptr = fptr + nxpix
do j = 1, nypix {
COEFF(rptr+1) = 2. * COEFF(rptr) - COEFF(rptr-1)
rptr = rptr + MSI_NXCOEFF(msi)
}
# define the pointers to the last, 2nd last and third last rows
rptrl[1] = MSI_COEFF(msi) + (MSI_NYCOEFF(msi) - 1) *
MSI_NXCOEFF(msi)
do i = 2, 3
rptrl[i] = rptrl[i-1] - MSI_NXCOEFF(msi)
# define the last row by extending the columns
call awsur (COEFF(rptrl[2]), COEFF(rptrl[3]), COEFF(rptrl[1]),
MSI_NXCOEFF(msi), 2., -1.)
case II_BIPOLY3:
# extend the rows
rptr = fptr
nptr = fptr + nxpix
do j = 1, nypix {
COEFF(rptr) = 2. * COEFF(rptr+1) - COEFF(rptr+2)
COEFF(nptr+1) = 2. * COEFF(nptr) - COEFF(nptr-1)
COEFF(nptr+2) = 2. * COEFF(nptr) - COEFF(nptr-2)
rptr = rptr + MSI_NXCOEFF(msi)
nptr = nptr + MSI_NXCOEFF(msi)
}
# define pointers to first, second and third rows
rptrf[1] = MSI_COEFF(msi)
do i = 2, 3
rptrf[i] = rptrf[i-1] + MSI_NXCOEFF(msi)
# extend the columns, first row
call awsur (COEFF(rptrf[2]), COEFF(rptrf[3]), COEFF(rptrf[1]),
MSI_NXCOEFF(msi), 2., -1.)
# define the pointers to the last to fifth last rows
rptrl[1] = MSI_COEFF(msi) + (MSI_NYCOEFF(msi) - 1) *
MSI_NXCOEFF(msi)
do i = 2, 5
rptrl[i] = rptrl[i-1] - MSI_NXCOEFF(msi)
# extend the columns, define 2nd last row
call awsur (COEFF(rptrl[3]), COEFF(rptrl[4]), COEFF(rptrl[2]),
MSI_NXCOEFF(msi), 2., -1.)
# extend the columns, define last row
call awsur (COEFF(rptrl[3]), COEFF(rptrl[5]), COEFF(rptrl[1]),
MSI_NXCOEFF(msi), 2., -1.)
case II_BIPOLY5:
# extend the rows
rptr = fptr
nptr = fptr + nxpix
do j = 1, nypix {
COEFF(rptr-1) = 2. * COEFF(rptr+1) - COEFF(rptr+3)
COEFF(rptr) = 2. * COEFF(rptr+1) - COEFF(rptr+2)
COEFF(nptr+1) = 2. * COEFF(nptr) - COEFF(nptr-1)
COEFF(nptr+2) = 2. * COEFF(nptr) - COEFF(nptr-2)
COEFF(nptr+3) = 2. * COEFF(nptr) - COEFF(nptr-3)
rptr = rptr + MSI_NXCOEFF(msi)
nptr = nptr + MSI_NXCOEFF(msi)
}
# define pointers to first five rows
rptrf[1] = MSI_COEFF(msi)
do i = 2, 5
rptrf[i] = rptrf[i-1] + MSI_NXCOEFF(msi)
# extend the columns, define first row
call awsur (COEFF(rptrf[3]), COEFF(rptrf[5]), COEFF(rptrf[1]),
MSI_NXCOEFF(msi), 2., -1.)
# extend the columns, define second row
call awsur (COEFF(rptrf[3]), COEFF(rptrf[4]), COEFF(rptrf[2]),
MSI_NXCOEFF(msi), 2., -1.)
# define pointers last seven rows
rptrl[1] = MSI_COEFF(msi) + (MSI_NYCOEFF(msi) - 1) *
MSI_NXCOEFF(msi)
do i = 2, 7
rptrl[i] = rptrl[i-1] - MSI_NXCOEFF(msi)
# extend the columns, last row
call awsur (COEFF(rptrl[4]), COEFF(rptrl[7]), COEFF(rptrl[1]),
MSI_NXCOEFF(msi), 2., -1.)
# extend the columns, 2nd last row
call awsur (COEFF(rptrl[4]), COEFF(rptrl[6]), COEFF(rptrl[2]),
MSI_NXCOEFF(msi), 2., -1.)
# extend the columns, 3rd last row
call awsur (COEFF(rptrl[4]), COEFF(rptrl[5]), COEFF(rptrl[3]),
MSI_NXCOEFF(msi), 2., -1.)
case II_BISPLINE3:
# allocate space for a temporary work arrays
call calloc (tmp, MSI_NXCOEFF(msi) * MSI_NYCOEFF(msi), TY_REAL)
# the B-spline coefficients are calculated using the
# natural end conditions, end coefficents are set to
# zero
# calculate the univariate B_spline coefficients in x
call ii_spline2d (COEFF(MSI_COEFF(msi)), TEMP(tmp),
nxpix, MSI_NYCOEFF(msi), MSI_NXCOEFF(msi), MSI_NYCOEFF(msi))
# calculate the univariate B-spline coefficients in y to
# results of x interpolation
call ii_spline2d (TEMP(tmp), COEFF(MSI_COEFF(msi)),
nypix, MSI_NXCOEFF(msi), MSI_NYCOEFF(msi), MSI_NXCOEFF(msi))
# deallocate storage for temporary arrays
call mfree (tmp, TY_REAL)
}
end
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