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task test = t_test
include <math/gsurfit.h>
procedure t_test()
int i, j, k
int xorder, yorder, xterms, stype
int ncoeff, maxorder, xincr, npts, stype1, ier
pointer gs, ags, sgs
double dx, dy, const, accum, sum, rms1, rms2
double x[121], y[121], z[121], w[121], zfit[121], coeff[121], save[121]
int clgeti()
double dgseval(), dgsgcoeff()
begin
# Generate x and y grid.
dy = -1.0d0
npts = 0
do i = 1, 9 {
dx = -1.0d0
do j = 1, 9 {
x[npts+1] = dx
y[npts+1] = dy
npts = npts + 1
dx = dx + 0.25d0
}
dy = dy + 0.25d0
}
stype = clgeti ("stype")
xorder = clgeti ("xorder")
yorder = clgeti ("yorder")
xterms = clgeti ("xterms")
call printf ("\n\nSURFACE: %d XORDER: %d YORDER: %d XTERMS: %d\n")
call pargi (stype)
call pargi (xorder)
call pargi (yorder)
call pargi (xterms)
# Generate data
if (stype > 3) {
switch (xterms) {
case GS_XNONE:
do i = 1, npts {
sum = 0.0d0
do j = 2, yorder
sum = sum + j * y[i] ** (j - 1)
do j = 2, xorder
sum = sum + j * x[i] ** (j - 1)
z[i] = sum
}
case GS_XHALF:
maxorder = max (xorder + 1, yorder + 1)
do i = 1, npts {
sum = 0.0d0
xincr = xorder
do j = 1, yorder {
const = j * y[i] ** (j - 1)
accum= 0.0d0
do k = 1, xincr {
if (j > 1 || k > 1)
accum = accum + k * x[i] ** (k - 1)
}
sum = sum + const * accum
if ((j + xorder + 1) > maxorder)
xincr = xincr - 1
}
z[i] = sum
}
case GS_XFULL:
do i = 1, npts {
sum = 0.0d0
do j = 1, yorder {
const = j * y[i] ** (j - 1)
accum = 0.0d0
do k = 1, xorder {
if (j > 1 || k > 1)
accum = accum + k * x[i] ** (k - 1)
}
sum = sum + const * accum
}
z[i] = sum
}
}
stype1 = stype - 3
} else {
switch (xterms) {
case GS_XNONE:
do i = 1, npts {
sum = 0.0d0
do j = 2, yorder
sum = sum + j * y[i] ** (j - 1)
do j = 1, xorder
sum = sum + j * x[i] ** (j - 1)
z[i] = sum
}
case GS_XHALF:
maxorder = max (xorder + 1, yorder + 1)
do i = 1, npts {
sum = 0.0d0
xincr = xorder
do j = 1, yorder {
const = j * y[i] ** (j - 1)
accum= 0.0d0
do k = 1, xincr {
accum = accum + k * x[i] ** (k - 1)
}
sum = sum + const * accum
if ((j + xorder + 1) > maxorder)
xincr = xincr - 1
}
z[i] = sum
}
case GS_XFULL:
do i = 1, npts {
sum = 0.0d0
do j = 1, yorder {
const = j * y[i] ** (j - 1)
accum = 0.0d0
do k = 1, xorder {
accum = accum + k * x[i] ** (k - 1)
}
sum = sum + const * accum
}
z[i] = sum
}
}
stype1 = stype
}
# Print out the data.
call printf ("\nXIN:\n")
do i = 1, npts {
call printf ("%6.3f ")
call pargd (x[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
call printf ("\nYIN:\n")
do i = 1, npts {
call printf ("%6.3f ")
call pargd (y[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
call printf ("\nZIN:\n")
do i = 1, npts {
call printf ("%6.3f ")
call pargd (z[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
# Fit surface.
call dgsinit (gs, stype1, xorder, yorder, xterms, -1.0d0, 1.0d0,
-1.0d0, 1.0d0)
if (stype > 3) {
call dgsset (gs, GSXREF, 0d0)
call dgsset (gs, GSYREF, 0d0)
call dgsset (gs, GSZREF, 0d0)
}
call dgsfit (gs, x, y, z, w, npts, WTS_UNIFORM, ier)
call printf ("\nFIT ERROR CODE: %d\n")
call pargi (ier)
# Evaluate the fit and its rms.
call dgsvector (gs, x, y, zfit, npts)
call printf ("\nZFIT:\n")
do i = 1, npts {
call printf ("%6.3f ")
call pargd (zfit[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
rms1 = 0.0d0
do i = 1, npts
rms1 = rms1 + (z[i] - zfit[i]) ** 2
rms1 = sqrt (rms1 / (npts - 1))
rms2 = 0.0d0
do i = 1, npts
rms2 = rms2 + (z[i] - dgseval (gs, x[i], y[i])) ** 2
rms2 = sqrt (rms2 / (npts - 1))
#call printf ("\nRMS: vector = %0.14g point = %0.14g\n\n")
call printf ("\nRMS: vector = %0.4f point = %0.4f\n\n")
call pargd (rms1)
call pargd (rms2)
# Print the coefficients.
call dgscoeff (gs, coeff, ncoeff)
call printf ("GSFIT coeff:\n")
call printf ("first %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, 1))
call pargd (dgsgcoeff (gs, xorder, 1))
do i = 1, ncoeff {
call printf ("%d %0.14g\n")
call pargi (i)
call pargd (coeff[i])
}
call printf ("last %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, yorder))
call pargd (dgsgcoeff (gs, xorder, yorder))
call printf ("\n")
call dgsfree (gs)
return
# Evaluate the first derivatives.
call dgsder (gs, x, y, zfit, npts, 1, 0)
call printf ("\nZDER: 1 0\n")
do i = 1, npts {
call printf ("%0.7g ")
call pargd (zfit[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
call dgsder (gs, x, y, zfit, npts, 0, 1)
call printf ("\nZDER: 0 1\n")
do i = 1, npts {
call printf ("%0.7g ")
call pargd (zfit[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
call dgsder (gs, x, y, zfit, npts, 1, 1)
call printf ("\nZDER: 1 1\n")
do i = 1, npts {
call printf ("%0.7g ")
call pargd (zfit[i])
if (mod (i, 9) == 0)
call printf ("\n")
}
call printf ("\n")
# Refit the surface point by point.
call dgszero (gs)
do i = 1, npts {
call dgsaccum (gs, x[i], y[i], z[i], w[i], WTS_UNIFORM)
}
if (stype > 3)
call dgssolve1 (gs, ier)
else
call dgssolve (gs, ier)
call printf ("\nACCUM FIT ERROR CODE: %d\n")
call pargi (ier)
call dgsrej (gs, x[1], y[1], z[1], w[1], WTS_UNIFORM)
call dgsrej (gs, x[npts], y[npts], z[npts], w[npts], WTS_UNIFORM)
call dgsaccum (gs, x[1], y[1], z[1], w[1], WTS_UNIFORM)
call dgsaccum (gs, x[npts], y[npts], z[npts], w[npts], WTS_UNIFORM)
call dgssolve (gs, ier)
call printf ("\nREJ FIT ERROR CODE: %d\n")
call pargi (ier)
call dgscoeff (gs, coeff, ncoeff)
call printf ("GSACCUM coeff:\n")
call printf ("first %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, 1))
call pargd (dgsgcoeff (gs, xorder, 1))
do i = 1, ncoeff {
call printf ("%d %0.14g\n")
call pargi (i)
call pargd (coeff[i])
}
call printf ("last %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, yorder))
call pargd (dgsgcoeff (gs, xorder, yorder))
call printf ("\n")
# Save and restore.
call dgssave (gs, save)
call dgsfree (gs)
call dgsrestore (gs, save)
call dgscoeff (gs, coeff, ncoeff)
call printf ("RESTORE coeff:\n")
call printf ("first %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, 1))
call pargd (dgsgcoeff (gs, xorder, 1))
do i = 1, ncoeff {
call printf ("%d %0.14g\n")
call pargi (i)
call pargd (coeff[i])
}
call printf ("last %0.14g %0.14g\n")
call pargd (dgsgcoeff (gs, 1, yorder))
call pargd (dgsgcoeff (gs, xorder, yorder))
call printf ("\n")
# Add two surfaces.
call dgsadd (gs, gs, ags)
call dgscoeff (ags, coeff, ncoeff)
call printf ("GSADD coeff:\n")
call printf ("first %0.14g %0.14g\n")
call pargd (dgsgcoeff (ags, 1, 1))
call pargd (dgsgcoeff (ags, xorder, 1))
do i = 1, ncoeff {
call printf ("%d %0.14g\n")
call pargi (i)
call pargd (coeff[i])
}
call printf ("last %0.14g %0.14g\n")
call pargd (dgsgcoeff (ags, 1, yorder))
call pargd (dgsgcoeff (ags, xorder, yorder))
call printf ("\n")
# Subtract two surfaces.
call dgssub (gs, gs, sgs)
call dgscoeff (sgs, coeff, ncoeff)
call printf ("GSSUB coeff:\n")
call printf ("first %0.14g %0.14g\n")
call pargd (dgsgcoeff (sgs, 1, 1))
call pargd (dgsgcoeff (sgs, xorder, 1))
do i = 1, ncoeff {
call printf ("%d %0.14g\n")
call pargi (i)
call pargd (coeff[i])
}
call printf ("last %0.14g %0.14g\n")
call pargd (dgsgcoeff (sgs, 1, yorder))
call pargd (dgsgcoeff (sgs, xorder, yorder))
call printf ("\n")
call dgsfree (gs)
call dgsfree (ags)
call dgsfree (sgs)
end
|
