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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
include "dgsurfitdef.h"
# GSDER -- Procedure to calculate a new surface which is a derivative of
# the previous surface
procedure dgsder (sf1, x, y, zfit, npts, nxd, nyd)
pointer sf1 # pointer to the previous surface
double x[npts] # x values
double y[npts] # y values
double zfit[npts] # fitted values
int npts # number of points
int nxd, nyd # order of the derivatives in x and y
double norm
int ncoeff, nxder, nyder, i, j
int order, maxorder1, maxorder2, nmove1, nmove2
pointer sf2, sp, coeff, ptr1, ptr2
begin
if (sf1 == NULL)
return
if (nxd < 0 || nyd < 0)
call error (0, "GSDER: Order of derivatives cannot be < 0")
if (nxd == 0 && nyd == 0) {
call dgsvector (sf1, x, y, zfit, npts)
return
}
# allocate space for new surface
call calloc (sf2, LEN_GSSTRUCT, TY_STRUCT)
# check the order of the derivatives and return 0 if the order is
# high
nxder = min (nxd, GS_NXCOEFF(sf1))
nyder = min (nyd, GS_NYCOEFF(sf1))
if (nxder >= GS_NXCOEFF(sf1) && nyder >= GS_NYCOEFF(sf1))
call amovkd (double(0.0), zfit, npts)
# set up new surface
GS_TYPE(sf2) = GS_TYPE(sf1)
# set the derivative surface parameters
switch (GS_TYPE(sf2)) {
case GS_LEGENDRE, GS_CHEBYSHEV, GS_POLYNOMIAL:
GS_XTERMS(sf2) = GS_XTERMS(sf1)
# find the order of the new surface
switch (GS_XTERMS(sf2)) {
case GS_XNONE:
if (nxder > 0 && nyder > 0) {
GS_NXCOEFF(sf2) = 1
GS_XORDER(sf2) = 1
GS_NYCOEFF(sf2) = 1
GS_YORDER(sf2) = 1
GS_NCOEFF(sf2) = 1
} else if (nxder > 0) {
GS_NXCOEFF(sf2) = max (1, GS_NXCOEFF(sf1) - nxder)
GS_XORDER(sf2) = max (1, GS_NXCOEFF(sf1) - nxder)
GS_NYCOEFF(sf2) = 1
GS_YORDER(sf2) = 1
GS_NCOEFF(sf2) = GS_NXCOEFF(sf2)
} else if (nyder > 0) {
GS_NXCOEFF(sf2) = 1
GS_XORDER(sf2) = 1
GS_NYCOEFF(sf2) = max (1, GS_NYCOEFF(sf1) - nyder)
GS_YORDER(sf2) = max (1, GS_NYCOEFF(sf1) - nyder)
GS_NCOEFF(sf2) = GS_NYCOEFF(sf2)
}
case GS_XHALF:
if ((nxder >= GS_NXCOEFF(sf1)) || (nyder >= GS_NYCOEFF(sf1)) ||
(nxder + nyder) >= max (GS_NXCOEFF(sf1),
GS_NYCOEFF(sf1))) {
GS_NXCOEFF(sf2) = 1
GS_XORDER(sf2) = 1
GS_NYCOEFF(sf2) = 1
GS_YORDER(sf2) = 1
GS_NCOEFF(sf2) = 1
} else {
maxorder1 = max (GS_XORDER(sf1) + 1, GS_YORDER(sf1) + 1)
order = max (1, min (maxorder1 - 1 - nyder - nxder,
GS_NXCOEFF(sf1) - nxder))
GS_NXCOEFF(sf2) = order
GS_XORDER(sf2) = order
order = max (1, min (maxorder1 - 1 - nyder - nxder,
GS_NYCOEFF(sf1) - nyder))
GS_NYCOEFF(sf2) = order
GS_YORDER(sf2) = order
order = min (GS_XORDER(sf2), GS_YORDER(sf2))
GS_NCOEFF(sf2) = GS_NXCOEFF(sf2) * GS_NYCOEFF(sf2) -
order * (order - 1) / 2
}
default:
if (nxder >= GS_NXCOEFF(sf1) || nyder >= GS_NYCOEFF(sf1)) {
GS_NXCOEFF(sf2) = 1
GS_XORDER(sf2) = 1
GS_NYCOEFF(sf2) = 1
GS_YORDER(sf2) = 1
GS_NCOEFF(sf2) = 1
} else {
GS_NXCOEFF(sf2) = max (1, GS_NXCOEFF(sf1) - nxder)
GS_XORDER(sf2) = max (1, GS_XORDER(sf1) - nxder)
GS_NYCOEFF(sf2) = max (1, GS_NYCOEFF(sf1) - nyder)
GS_YORDER(sf2) = max (1, GS_YORDER(sf1) - nyder)
GS_NCOEFF(sf2) = GS_NXCOEFF(sf2) * GS_NYCOEFF(sf2)
}
}
# define the data limits
GS_XMIN(sf2) = GS_XMIN(sf1)
GS_XMAX(sf2) = GS_XMAX(sf1)
GS_XRANGE(sf2) = GS_XRANGE(sf1)
GS_XMAXMIN(sf2) = GS_XMAXMIN(sf1)
GS_YMIN(sf2) = GS_YMIN(sf1)
GS_YMAX(sf2) = GS_YMAX(sf1)
GS_YRANGE(sf2) = GS_YRANGE(sf1)
GS_YMAXMIN(sf2) = GS_YMAXMIN(sf1)
default:
call error (0, "GSDER: Unknown surface type.")
}
# set remaining surface pointers to NULL
GS_XBASIS(sf2) = NULL
GS_YBASIS(sf2) = NULL
GS_MATRIX(sf2) = NULL
GS_CHOFAC(sf2) = NULL
GS_VECTOR(sf2) = NULL
GS_COEFF(sf2) = NULL
GS_WZ(sf2) = NULL
# allocate space for coefficients
call calloc (GS_COEFF(sf2), GS_NCOEFF(sf2), TY_DOUBLE)
# get coefficients
call smark (sp)
call salloc (coeff, GS_NCOEFF(sf1), TY_DOUBLE)
call dgscoeff (sf1, Memd[coeff], ncoeff)
# compute the new coefficients
switch (GS_XTERMS(sf2)) {
case GS_XFULL:
if (nxder >= GS_NXCOEFF(sf1) || nyder >= GS_NYCOEFF(sf1))
COEFF(GS_COEFF(sf2)) = 0.
else {
ptr2 = GS_COEFF(sf2) + (GS_NYCOEFF(sf2) - 1) * GS_NXCOEFF(sf2)
ptr1 = coeff + (GS_NYCOEFF(sf1) - 1) * GS_NXCOEFF(sf1)
do i = GS_NYCOEFF(sf1), nyder + 1, -1 {
call amovd (Memd[ptr1+nxder], COEFF(ptr2),
GS_NXCOEFF(sf2))
ptr2 = ptr2 - GS_NXCOEFF(sf2)
ptr1 = ptr1 - GS_NXCOEFF(sf1)
}
}
case GS_XHALF:
if ((nxder >= GS_NXCOEFF(sf1)) || (nyder >= GS_NYCOEFF(sf1)) ||
(nxder + nyder) >= max (GS_NXCOEFF(sf1), GS_NYCOEFF(sf1)))
COEFF(GS_COEFF(sf2)) = 0.
else {
maxorder1 = max (GS_XORDER(sf1) + 1, GS_YORDER(sf1) + 1)
maxorder2 = max (GS_XORDER(sf2) + 1, GS_YORDER(sf2) + 1)
ptr2 = GS_COEFF(sf2) + GS_NCOEFF(sf2)
ptr1 = coeff + GS_NCOEFF(sf1)
do i = GS_NYCOEFF(sf1), nyder + 1, -1 {
nmove1 = max (0, min (maxorder1 - i, GS_NXCOEFF(sf1)))
nmove2 = max (0, min (maxorder2 - i + nyder,
GS_NXCOEFF(sf2)))
ptr1 = ptr1 - nmove1
ptr2 = ptr2 - nmove2
call amovd (Memd[ptr1+nxder], COEFF(ptr2), nmove2)
}
}
default:
if (nxder > 0 && nyder > 0)
COEFF(GS_COEFF(sf2)) = 0.
else if (nxder > 0) {
if (nxder >= GS_NXCOEFF(sf1))
COEFF(GS_COEFF(sf2)) = 0.
else {
ptr1 = coeff
ptr2 = GS_COEFF(sf2) + GS_NCOEFF(sf2) - 1
do j = GS_NXCOEFF(sf1), nxder + 1, -1 {
COEFF(ptr2) = Memd[ptr1+j-1]
ptr2 = ptr2 - 1
}
}
} else if (nyder > 0) {
if (nyder >= GS_NYCOEFF(sf1))
COEFF(GS_COEFF(sf2)) = 0.
else {
ptr1 = coeff + GS_NCOEFF(sf1) - 1
ptr2 = GS_COEFF(sf2)
do i = GS_NYCOEFF(sf1), nyder + 1, -1
ptr1 = ptr1 - 1
call amovd (Memd[ptr1+1], COEFF(ptr2), GS_NCOEFF(sf2))
}
}
}
# evaluate the derivatives
switch (GS_TYPE(sf2)) {
case GS_POLYNOMIAL:
call dgs_derpoly (COEFF(GS_COEFF(sf2)), x, y, zfit, npts,
GS_XTERMS(sf2), GS_XORDER(sf2), GS_YORDER(sf2), nxder,
nyder, GS_XMAXMIN(sf2), GS_XRANGE(sf2), GS_YMAXMIN(sf2),
GS_YRANGE(sf2))
case GS_CHEBYSHEV:
call dgs_dercheb (COEFF(GS_COEFF(sf2)), x, y, zfit, npts,
GS_XTERMS(sf2), GS_XORDER(sf2), GS_YORDER(sf2), nxder,
nyder, GS_XMAXMIN(sf2), GS_XRANGE(sf2), GS_YMAXMIN(sf2),
GS_YRANGE(sf2))
case GS_LEGENDRE:
call dgs_derleg (COEFF(GS_COEFF(sf2)), x, y, zfit, npts,
GS_XTERMS(sf2), GS_XORDER(sf2), GS_YORDER(sf2), nxder,
nyder, GS_XMAXMIN(sf2), GS_XRANGE(sf2), GS_YMAXMIN(sf2),
GS_YRANGE(sf2))
default:
call error (0, "GSVECTOR: Unknown surface type.")
}
# Normalize.
if (GS_TYPE(sf2) != GS_POLYNOMIAL) {
norm = (2. / (GS_XMAX(sf2) - GS_XMIN(sf2))) ** nxder * (2. /
(GS_YMAX(sf2) - GS_YMIN(sf2))) ** nyder
call amulkd (zfit, norm, zfit, npts)
}
# free the space
call dgsfree (sf2)
call sfree (sp)
end
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