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# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc.
include <math/gsurfit.h>
# GS_DERPOLY -- Evaluate the new polynomial derivative surface.
procedure dgs_derpoly (coeff, x, y, zfit, npts, xterms, xorder, yorder, nxder,
nyder, k1x, k2x, k1y, k2y)
double coeff[ARB] # 1D array of coefficients
double x[npts] # x values of points to be evaluated
double y[npts]
double zfit[npts] # the fitted points
int npts # number of points to be evaluated
int xterms # cross terms ?
int xorder,yorder # order of the polynomials in x and y
int nxder,nyder # order of the derivatives in x and y
double k1x, k2x # normalizing constants
double k1y, k2y
int i, k, cptr, maxorder, xincr
pointer sp, xb, yb, xbptr, ybptr, accum
begin
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, xorder * npts, TY_DOUBLE)
call salloc (yb, yorder * npts, TY_DOUBLE)
call salloc (accum, npts, TY_DOUBLE)
# calculate basis functions
call dgs_dpol (x, npts, xorder, nxder, k1x, k2x, Memd[xb])
call dgs_dpol (y, npts, yorder, nyder, k1y, k2y, Memd[yb])
# accumulate the output vector
cptr = 0
call aclrd (zfit, npts)
if (xterms != GS_XNONE) {
maxorder = max (xorder + 1, yorder + 1)
xincr = xorder
ybptr = yb
do i = 1, yorder {
call aclrd (Memd[accum], npts)
xbptr = xb
do k = 1, xincr {
call awsud (Memd[accum], Memd[xbptr], Memd[accum], npts,
1.0d0, coeff[cptr+k])
xbptr = xbptr + npts
}
call gs_asumvpd (Memd[accum], Memd[ybptr], zfit, zfit, npts)
cptr = cptr + xincr
ybptr = ybptr + npts
switch (xterms) {
case GS_XHALF:
if ((i + xorder + 1) > maxorder)
xincr = xincr - 1
default:
;
}
}
} else {
call amuld (Memd[xb], Memd[yb], zfit, npts)
call amulkd (zfit, coeff[1], zfit, npts)
xbptr = xb + npts
do k = 1, xorder - 1 {
call awsud (zfit, Memd[xbptr], zfit, npts, 1.0d0, coeff[k+1])
xbptr = xbptr + npts
}
ybptr = yb + npts
do k = 1, yorder - 1 {
call awsud (zfit, Memd[ybptr], zfit, npts, 1.0d0,
coeff[xorder+k])
ybptr = ybptr + npts
}
}
call sfree (sp)
end
# GS_DERCHEB -- Evaluate the new Chebyshev polynomial derivative surface.
procedure dgs_dercheb (coeff, x, y, zfit, npts, xterms, xorder, yorder,
nxder, nyder, k1x, k2x, k1y, k2y)
double coeff[ARB] # 1D array of coefficients
double x[npts] # x values of points to be evaluated
double y[npts]
double zfit[npts] # the fitted points
int npts # number of points to be evaluated
int xterms # cross terms ?
int xorder,yorder # order of the polynomials in x and y
int nxder,nyder # order of the derivatives in x and y
double k1x, k2x # normalizing constants
double k1y, k2y
int i, k, cptr, maxorder, xincr
pointer sp, xb, yb, xbptr, ybptr, accum
begin
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, xorder * npts, TY_DOUBLE)
call salloc (yb, yorder * npts, TY_DOUBLE)
call salloc (accum, npts, TY_DOUBLE)
# calculate basis functions
call dgs_dcheb (x, npts, xorder, nxder, k1x, k2x, Memd[xb])
call dgs_dcheb (y, npts, yorder, nyder, k1y, k2y, Memd[yb])
# accumulate thr output vector
cptr = 0
call aclrd (zfit, npts)
if (xterms != GS_XNONE) {
maxorder = max (xorder + 1, yorder + 1)
xincr = xorder
ybptr = yb
do i = 1, yorder {
call aclrd (Memd[accum], npts)
xbptr = xb
do k = 1, xincr {
call awsud (Memd[accum], Memd[xbptr], Memd[accum], npts,
1.0d0, coeff[cptr+k])
xbptr = xbptr + npts
}
call gs_asumvpd (Memd[accum], Memd[ybptr], zfit, zfit, npts)
cptr = cptr + xincr
ybptr = ybptr + npts
switch (xterms) {
case GS_XHALF:
if ((i + xorder + 1) > maxorder)
xincr = xincr - 1
default:
;
}
}
} else {
call amuld (Memd[xb], Memd[yb], zfit, npts)
call amulkd (zfit, coeff[1], zfit, npts)
xbptr = xb + npts
do k = 1, xorder - 1 {
call awsud (zfit, Memd[xbptr], zfit, npts, 1.0d0, coeff[k+1])
xbptr = xbptr + npts
}
ybptr = yb + npts
do k = 1, yorder - 1 {
call awsud (zfit, Memd[ybptr], zfit, npts, 1.0d0,
coeff[xorder+k])
ybptr = ybptr + npts
}
}
# free temporary space
call sfree (sp)
end
# GS_DERLEG -- Evaluate the new Legendre polynomial derivative surface.
procedure dgs_derleg (coeff, x, y, zfit, npts, xterms, xorder, yorder,
nxder, nyder, k1x, k2x, k1y, k2y)
double coeff[ARB] # 1D array of coefficients
double x[npts] # x values of points to be evaluated
double y[npts]
double zfit[npts] # the fitted points
int npts # number of points to be evaluated
int xterms # cross terms ?
int xorder,yorder # order of the polynomials in x and y
int nxder,nyder # order of the derivatives in x and y
double k1x, k2x # normalizing constants
double k1y, k2y
int i, k, cptr, maxorder, xincr
pointer sp, xb, yb, accum, xbptr, ybptr
begin
# allocate temporary space for the basis functions
call smark (sp)
call salloc (xb, xorder * npts, TY_DOUBLE)
call salloc (yb, yorder * npts, TY_DOUBLE)
call salloc (accum, npts, TY_DOUBLE)
# calculate basis functions
call dgs_dleg (x, npts, xorder, nxder, k1x, k2x, Memd[xb])
call dgs_dleg (y, npts, yorder, nyder, k1y, k2y, Memd[yb])
cptr = 0
call aclrd (zfit, npts)
if (xterms != GS_XNONE) {
maxorder = max (xorder + 1, yorder + 1)
xincr = xorder
ybptr = yb
do i = 1, yorder {
xbptr = xb
call aclrd (Memd[accum], npts)
do k = 1, xincr {
call awsud (Memd[accum], Memd[xbptr], Memd[accum], npts,
1.0d0, coeff[cptr+k])
xbptr = xbptr + npts
}
call gs_asumvpd (Memd[accum], Memd[ybptr], zfit, zfit, npts)
cptr = cptr + xincr
ybptr = ybptr + npts
switch (xterms) {
case GS_XHALF:
if ((i + xorder + 1) > maxorder)
xincr = xincr - 1
default:
;
}
}
} else {
call amuld (Memd[xb], Memd[yb], zfit, npts)
call amulkd (zfit, coeff[1], zfit, npts)
xbptr = xb + npts
do k = 1, xorder - 1 {
call awsud (zfit, Memd[xbptr], zfit, npts, 1.0d0, coeff[k+1])
xbptr = xbptr + npts
}
ybptr = yb + npts
do k = 1, yorder - 1 {
call awsud (zfit, Memd[ybptr], zfit, npts, 1.0d0,
coeff[xorder+k])
ybptr = ybptr + npts
}
}
# free temporary space
call sfree (sp)
end
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