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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
$if (datatype == r)
include "gsurfitdef.h"
$else
include "dgsurfitdef.h"
$endif
# GSACPTS -- Procedure to add a set of points to the normal equations.
# The inner products of the basis functions are calculated and
# accumulated into the GS_NCOEFF(sf) ** 2 matrix MATRIX.
# The main diagonal of the matrix is stored in the first row of
# MATRIX followed by the remaining non-zero diagonals.
# The inner product
# of the basis functions and the data ordinates are stored in the
# NCOEFF(sf)-vector VECTOR.
$if (datatype == r)
procedure gsacpts (sf, x, y, z, w, npts, wtflag)
$else
procedure dgsacpts (sf, x, y, z, w, npts, wtflag)
$endif
pointer sf # surface descriptor
PIXEL x[npts] # array of x values
PIXEL y[npts] # array of y values
PIXEL z[npts] # data array
PIXEL w[npts] # array of weights
int npts # number of data points
int wtflag # type of weighting
bool refsub
int i, ii, j, jj, k, l, ll
int maxorder, xorder, xxorder, ntimes
pointer sp, vzptr, vindex, mzptr, mindex, bxptr, bbxptr, byptr, bbyptr
pointer x1, y1, z1, byw, bw
PIXEL adot$t()
begin
# increment the number of points
GS_NPTS(sf) = GS_NPTS(sf) + npts
# remove basis functions calculated by any previous gsrefit call
if (GS_XBASIS(sf) != NULL || GS_YBASIS(sf) != NULL) {
$if (datatype == r)
if (GS_XBASIS(sf) != NULL)
call mfree (GS_XBASIS(sf), TY_REAL)
GS_XBASIS(sf) = NULL
if (GS_YBASIS(sf) != NULL)
call mfree (GS_YBASIS(sf), TY_REAL)
GS_YBASIS(sf) = NULL
if (GS_WZ(sf) != NULL)
call mfree (GS_WZ(sf), TY_REAL)
GS_WZ(sf) = NULL
$else
if (GS_XBASIS(sf) != NULL)
call mfree (GS_XBASIS(sf), TY_DOUBLE)
GS_XBASIS(sf) = NULL
if (GS_YBASIS(sf) != NULL)
call mfree (GS_YBASIS(sf), TY_DOUBLE)
GS_YBASIS(sf) = NULL
if (GS_WZ(sf) != NULL)
call mfree (GS_WZ(sf), TY_DOUBLE)
GS_WZ(sf) = NULL
$endif
}
# calculate weights
switch (wtflag) {
case WTS_UNIFORM:
$if (datatype == r)
call amovkr (1., w, npts)
$else
call amovkd (1.0d0, w, npts)
$endif
case WTS_SPACING:
if (npts == 1)
$if (datatype == r)
w[1] = 1.
$else
w[1] = 1.0d0
$endif
else
w[1] = abs (x[2] - x[1])
do i = 2, npts - 1
w[i] = abs (x[i+1] - x[i-1])
if (npts == 1)
$if (datatype == r)
w[npts] = 1.
$else
w[npts] = 1.0d0
$endif
else
w[npts] = abs (x[npts] - x[npts-1])
case WTS_USER:
# user supplied weights
default:
$if (datatype == r)
call amovkr (1., w, npts)
$else
call amovkd (1.0d0, w, npts)
$endif
}
# allocate space for the basis functions
call smark (sp)
call salloc (GS_XBASIS(sf), npts * GS_XORDER(sf), TY_PIXEL)
call salloc (GS_YBASIS(sf), npts * GS_YORDER(sf), TY_PIXEL)
# subtract reference value
refsub = !(IS_INDEF(GS_XREF(sf)) || IS_INDEF(GS_YREF(sf)) ||
IS_INDEF(GS_ZREF(sf)))
if (refsub) {
call salloc (x1, npts, TY_PIXEL)
call salloc (y1, npts, TY_PIXEL)
call salloc (z1, npts, TY_PIXEL)
call asubk$t (x, GS_XREF(sf), Mem$t[x1], npts)
call asubk$t (y, GS_YREF(sf), Mem$t[y1], npts)
call asubk$t (z, GS_ZREF(sf), Mem$t[z1], npts)
}
# calculate the non-zero basis functions
switch (GS_TYPE(sf)) {
case GS_LEGENDRE:
if (refsub) {
call $tgs_bleg (Mem$t[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bleg (Mem$t[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call $tgs_bleg (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bleg (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_CHEBYSHEV:
if (refsub) {
call $tgs_bcheb (Mem$t[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bcheb (Mem$t[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call $tgs_bcheb (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bcheb (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_POLYNOMIAL:
if (refsub) {
call $tgs_bpol (Mem$t[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bpol (Mem$t[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call $tgs_bpol (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call $tgs_bpol (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
default:
call error (0, "GSACCUM: Illegal curve type.")
}
# allocate temporary storage space for matrix accumulation
$if (datatype == r)
call salloc (byw, npts, TY_REAL)
call salloc (bw, npts, TY_REAL)
$else
call salloc (byw, npts, TY_DOUBLE)
call salloc (bw, npts, TY_DOUBLE)
$endif
# one index the pointers
vzptr = GS_VECTOR(sf) - 1
mzptr = GS_MATRIX(sf)
bxptr = GS_XBASIS(sf)
byptr = GS_YBASIS(sf)
switch (GS_TYPE(sf)) {
case GS_LEGENDRE, GS_CHEBYSHEV, GS_POLYNOMIAL:
maxorder = max (GS_XORDER(sf) + 1, GS_YORDER(sf) + 1)
xorder = GS_XORDER(sf)
ntimes = 0
do l = 1, GS_YORDER(sf) {
call amul$t (w, YBASIS(byptr), Mem$t[byw], npts)
bxptr = GS_XBASIS(sf)
do k = 1, xorder {
call amul$t (Mem$t[byw], XBASIS(bxptr), Mem$t[bw], npts)
vindex = vzptr + k
VECTOR(vindex) = VECTOR(vindex) + adot$t (Mem$t[bw], z,
npts)
bbyptr = byptr
bbxptr = bxptr
xxorder = xorder
jj = k
ll = l
ii = 0
do j = k + ntimes, GS_NCOEFF(sf) {
mindex = mzptr + ii
do i = 1, npts
MATRIX(mindex) = MATRIX(mindex) + Mem$t[bw+i-1] *
XBASIS(bbxptr+i-1) * YBASIS(bbyptr+i-1)
if (mod (jj, xxorder) == 0) {
jj = 1
ll = ll + 1
bbxptr = GS_XBASIS(sf)
bbyptr = bbyptr + npts
switch (GS_XTERMS(sf)) {
case GS_XNONE:
xxorder = 1
case GS_XHALF:
if ((ll + GS_XORDER(sf)) > maxorder)
xxorder = xxorder - 1
default:
;
}
} else {
jj = jj + 1
bbxptr = bbxptr + npts
}
ii = ii + 1
}
mzptr = mzptr + GS_NCOEFF(sf)
bxptr = bxptr + npts
}
vzptr = vzptr + xorder
ntimes = ntimes + xorder
switch (GS_XTERMS(sf)) {
case GS_XNONE:
xorder = 1
case GS_XHALF:
if ((l + GS_XORDER(sf) + 1) > maxorder)
xorder = xorder - 1
default:
;
}
byptr = byptr + npts
}
default:
call error (0, "GSACCUM: Unknown curve type.")
}
# release the space
call sfree (sp)
GS_XBASIS(sf) = NULL
GS_YBASIS(sf) = NULL
end
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