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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
include "gsurfitdef.h"
# 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.
procedure gsacpts (sf, x, y, z, w, npts, wtflag)
pointer sf # surface descriptor
real x[npts] # array of x values
real y[npts] # array of y values
real z[npts] # data array
real 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
real adotr()
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 (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
}
# calculate weights
switch (wtflag) {
case WTS_UNIFORM:
call amovkr (1., w, npts)
case WTS_SPACING:
if (npts == 1)
w[1] = 1.
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)
w[npts] = 1.
else
w[npts] = abs (x[npts] - x[npts-1])
case WTS_USER:
# user supplied weights
default:
call amovkr (1., w, npts)
}
# allocate space for the basis functions
call smark (sp)
call salloc (GS_XBASIS(sf), npts * GS_XORDER(sf), TY_REAL)
call salloc (GS_YBASIS(sf), npts * GS_YORDER(sf), TY_REAL)
# subtract reference value
refsub = !(IS_INDEFR(GS_XREF(sf)) || IS_INDEFR(GS_YREF(sf)) ||
IS_INDEFR(GS_ZREF(sf)))
if (refsub) {
call salloc (x1, npts, TY_REAL)
call salloc (y1, npts, TY_REAL)
call salloc (z1, npts, TY_REAL)
call asubkr (x, GS_XREF(sf), Memr[x1], npts)
call asubkr (y, GS_YREF(sf), Memr[y1], npts)
call asubkr (z, GS_ZREF(sf), Memr[z1], npts)
}
# calculate the non-zero basis functions
switch (GS_TYPE(sf)) {
case GS_LEGENDRE:
if (refsub) {
call rgs_bleg (Memr[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_bleg (Memr[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call rgs_bleg (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_bleg (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_CHEBYSHEV:
if (refsub) {
call rgs_bcheb (Memr[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_bcheb (Memr[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call rgs_bcheb (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_bcheb (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_POLYNOMIAL:
if (refsub) {
call rgs_bpol (Memr[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_bpol (Memr[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call rgs_bpol (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_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
call salloc (byw, npts, TY_REAL)
call salloc (bw, npts, TY_REAL)
# 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 amulr (w, YBASIS(byptr), Memr[byw], npts)
bxptr = GS_XBASIS(sf)
do k = 1, xorder {
call amulr (Memr[byw], XBASIS(bxptr), Memr[bw], npts)
vindex = vzptr + k
VECTOR(vindex) = VECTOR(vindex) + adotr (Memr[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) + Memr[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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