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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
include "dgsurfitdef.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 dgsacpts (sf, x, y, z, w, npts, wtflag)
pointer sf # surface descriptor
double x[npts] # array of x values
double y[npts] # array of y values
double z[npts] # data array
double 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
double adotd()
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_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
}
# calculate weights
switch (wtflag) {
case WTS_UNIFORM:
call amovkd (1.0d0, w, npts)
case WTS_SPACING:
if (npts == 1)
w[1] = 1.0d0
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] = 1.0d0
else
w[npts] = abs (x[npts] - x[npts-1])
case WTS_USER:
# user supplied weights
default:
call amovkd (1.0d0, w, npts)
}
# allocate space for the basis functions
call smark (sp)
call salloc (GS_XBASIS(sf), npts * GS_XORDER(sf), TY_DOUBLE)
call salloc (GS_YBASIS(sf), npts * GS_YORDER(sf), TY_DOUBLE)
# subtract reference value
refsub = !(IS_INDEFD(GS_XREF(sf)) || IS_INDEFD(GS_YREF(sf)) ||
IS_INDEFD(GS_ZREF(sf)))
if (refsub) {
call salloc (x1, npts, TY_DOUBLE)
call salloc (y1, npts, TY_DOUBLE)
call salloc (z1, npts, TY_DOUBLE)
call asubkd (x, GS_XREF(sf), Memd[x1], npts)
call asubkd (y, GS_YREF(sf), Memd[y1], npts)
call asubkd (z, GS_ZREF(sf), Memd[z1], npts)
}
# calculate the non-zero basis functions
switch (GS_TYPE(sf)) {
case GS_LEGENDRE:
if (refsub) {
call dgs_bleg (Memd[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_bleg (Memd[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call dgs_bleg (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_bleg (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_CHEBYSHEV:
if (refsub) {
call dgs_bcheb (Memd[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_bcheb (Memd[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call dgs_bcheb (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_bcheb (y, npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
}
case GS_POLYNOMIAL:
if (refsub) {
call dgs_bpol (Memd[x1], npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_bpol (Memd[y1], npts, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
} else {
call dgs_bpol (x, npts, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call dgs_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_DOUBLE)
call salloc (bw, npts, TY_DOUBLE)
# 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 amuld (w, YBASIS(byptr), Memd[byw], npts)
bxptr = GS_XBASIS(sf)
do k = 1, xorder {
call amuld (Memd[byw], XBASIS(bxptr), Memd[bw], npts)
vindex = vzptr + k
VECTOR(vindex) = VECTOR(vindex) + adotd (Memd[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) + Memd[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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