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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
include "gsurfitdef.h"
# GSACCUM -- Procedure to add a point 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 gsaccum (sf, x, y, z, w, wtflag)
pointer sf # surface descriptor
real x # x value
real y # y value
real z # z value
real w # weight
int wtflag # type of weighting
bool refsub
int ii, j, k, l
int maxorder, xorder, xxorder, xindex, yindex, ntimes
pointer sp, vzptr, mzptr, xbptr, ybptr
real x1, y1, z1, byw, bw
begin
# increment the number of points
GS_NPTS(sf) = GS_NPTS(sf) + 1
# 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 weight
switch (wtflag) {
case WTS_UNIFORM:
w = 1.
case WTS_USER:
# user supplied weights
default:
w = 1.
}
# allocate space for the basis functions
call smark (sp)
call salloc (GS_XBASIS(sf), GS_XORDER(sf), TY_REAL)
call salloc (GS_YBASIS(sf), 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) {
x1 = x - GS_XREF(sf)
y1 = y - GS_YREF(sf)
z1 = z - GS_ZREF(sf)
} else {
x1 = x
y1 = y
z1 = z
}
# calculate the non-zero basis functions
switch (GS_TYPE(sf)) {
case GS_LEGENDRE:
call rgs_b1leg (x1, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_b1leg (y1, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
case GS_CHEBYSHEV:
call rgs_b1cheb (x1, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_b1cheb (y1, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
case GS_POLYNOMIAL:
call rgs_b1pol (x1, GS_XORDER(sf), GS_XMAXMIN(sf),
GS_XRANGE(sf), XBASIS(GS_XBASIS(sf)))
call rgs_b1pol (y1, GS_YORDER(sf), GS_YMAXMIN(sf),
GS_YRANGE(sf), YBASIS(GS_YBASIS(sf)))
default:
call error (0, "GSACCUM: Unkown surface type.")
}
# one index the pointers
vzptr = GS_VECTOR(sf) - 1
mzptr = GS_MATRIX(sf) - 1
xbptr = GS_XBASIS(sf) - 1
ybptr = GS_YBASIS(sf) - 1
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) {
byw = w * YBASIS(ybptr+l)
do k = 1, xorder {
bw = byw * XBASIS(xbptr+k)
VECTOR(vzptr+k) = VECTOR(vzptr+k) + bw * z
ii = 1
xindex = k
yindex = l
xxorder = xorder
do j = k + ntimes, GS_NCOEFF(sf) {
MATRIX(mzptr+ii) = MATRIX(mzptr+ii) + bw *
XBASIS(xbptr+xindex) * YBASIS(ybptr+yindex)
if (mod (xindex, xxorder) == 0) {
xindex = 1
yindex = yindex + 1
switch (GS_XTERMS(sf)) {
case GS_XNONE:
xxorder = 1
case GS_XHALF:
if ((yindex + GS_XORDER(sf)) > maxorder)
xxorder = xxorder - 1
default:
;
}
} else
xindex = xindex + 1
ii = ii + 1
}
mzptr = mzptr + GS_NCOEFF(sf)
}
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:
;
}
}
default:
call error (0, "GSACCUM: Unknown surface type.")
}
# release the space
call sfree (sp)
GS_XBASIS(sf) = NULL
GS_YBASIS(sf) = NULL
end
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