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include <imhdr.h>
include <error.h>
include <math/gsurfit.h>
# T_SURFIT -- Fit a surface to a set of x, y, and z points from an input
# text file. Output the surface parameters, coefficients, errors, data
# points with fit and residuals, and chi square to the standard output.
# Optionally evaluate the surface for a set of x and y from a text file and
# write x, y, and z to an output text file. Optionally evaluate the surface
# over the fit limits and create an image with appropriate WCS.
procedure t_surfit ()
pointer input # Input file
pointer func # Function type
pointer wttype # Weight type
pointer image # Surface image
pointer coords # Coordinates to evaluate
pointer fit # Fit output file
int xorder # X order
int yorder # Y order
int xterms # Cross-terms?
double xmin, xmax # Surface range
double ymin, ymax # Surface range
double zmin, zmax # Data limits
int ncols # Number of image columns
int nlines # Number of image lines
int i, j, k, fd, n, ncoeff, maxorder, xincr
double r[8], dx, dy, chisqr
pointer sf, im, mw
pointer sp, x, y, z, w, c, e, f, xvec, yvec, ptr, xtype
int clgeti(), clgwrd()
int open(), fscan(), nscan(), nowhite(), dgsgeti()
double clgetd(), dgseval()
pointer immap(), impl2d(), mw_open()
errchk open, malloc, realloc, immap, impl2d, mw_open
errchk dgsinit, dgsfit, dgscoeff, dgserrors
begin
call smark (sp)
call salloc (input, SZ_FNAME, TY_CHAR)
call salloc (func, SZ_FNAME, TY_CHAR)
call salloc (wttype, SZ_FNAME, TY_CHAR)
call salloc (coords, SZ_FNAME, TY_CHAR)
call salloc (fit, SZ_FNAME, TY_CHAR)
call salloc (image, SZ_FNAME, TY_CHAR)
call salloc (xtype, SZ_FNAME, TY_CHAR)
x = NULL
y = NULL
z = NULL
w = NULL
fd = NULL
sf = NULL
im = NULL
mw = NULL
iferr {
# Read points to be fit.
call clgstr ("input", Memc[input], SZ_FNAME)
ptr = open (Memc[input], READ_ONLY, TEXT_FILE); fd = ptr
n = 0
while (fscan (fd) != EOF) {
call gargd (r[1])
call gargd (r[2])
call gargd (r[3])
call gargd (r[4])
if (nscan() < 3)
next
if (nscan() < 4)
r[4] = 1.
if (n == 0) {
call malloc (x, 100, TY_DOUBLE)
call malloc (y, 100, TY_DOUBLE)
call malloc (z, 100, TY_DOUBLE)
call malloc (w, 100, TY_DOUBLE)
} else if (mod (n, 100) == 0) {
call realloc (x, n+100, TY_DOUBLE)
call realloc (y, n+100, TY_DOUBLE)
call realloc (z, n+100, TY_DOUBLE)
call realloc (w, n+100, TY_DOUBLE)
}
Memd[x+n] = r[1]
Memd[y+n] = r[2]
Memd[z+n] = r[3]
Memd[w+n] = r[4]
n = n + 1
}
call close (fd)
if (n == 0)
call error (1, "No points")
# Set x, y, z limits and reject data outside range.
xmin = clgetd ("xmin")
xmax = clgetd ("xmax")
ymin = clgetd ("ymin")
ymax = clgetd ("ymax")
zmin = clgetd ("zmin")
zmax = clgetd ("zmax")
call alimd (Memd[x], n, dx, dy)
if (IS_INDEFD(xmin))
xmin = dx
if (IS_INDEFD(xmax))
xmax = dy
call alimd (Memd[y], n, dx, dy)
if (IS_INDEFD(ymin))
ymin = dx
if (IS_INDEFD(ymax))
ymax = dy
call alimd (Memd[z], n, dx, dy)
if (IS_INDEFD(zmin))
zmin = dx
if (IS_INDEFD(zmax))
zmax = dy
j = 0
do i = 0, n-1 {
if (Memd[x+i] < xmin || Memd[x+i] > xmax)
next
if (Memd[y+i] < ymin || Memd[y+i] > ymax)
next
if (Memd[z+i] < zmin || Memd[z+i] > zmax)
next
Memd[x+j] = Memd[x+i]
Memd[y+j] = Memd[y+i]
Memd[z+j] = Memd[z+i]
Memd[w+j] = Memd[w+i]
j = j + 1
}
n = j
if (n == 0)
call error (2, "No data values")
# Fit surface.
i = clgwrd ("function", Memc[func], SZ_FNAME, GS_FUNCTIONS)
xorder = clgeti ("xorder")
yorder = clgeti ("yorder")
xterms = clgwrd ("xterms", Memc[xtype], SZ_FNAME, GS_XTYPES) - 1
# Set the weights.
j = clgwrd ("weighting", Memc[wttype], SZ_FNAME,
"|uniform|user|statistical|instrumental|")
switch (j) {
case 1:
do k = 0, n-1
Memd[w+k] = 1
case 2:
;
case 3:
do k = 0, n-1
Memd[w+k] = 1 / max (1.0d-20, abs (Memd[z+k]))
case 4:
do k = 0, n-1
Memd[w+k] = 1 / max (1.0d-20, Memd[z+k]**2)
}
call dgsinit (sf, i, xorder, yorder, xterms, xmin, xmax, ymin, ymax)
call dgsfit (sf, Memd[x], Memd[y], Memd[z], Memd[w], n, WTS_USER, i)
if (i != OK)
call error (2, "Fitting error")
# Output parameters, coefficients, errors, and fit results.
ncoeff = dgsgeti (sf, GSNCOEFF)
call salloc (c, ncoeff, TY_DOUBLE)
call salloc (e, ncoeff, TY_DOUBLE)
call salloc (f, n, TY_DOUBLE)
call dgscoeff (sf, Memd[c], ncoeff)
call dgsvector (sf, Memd[x], Memd[y], Memd[f], n)
call dgserrors (sf, Memd[z], Memd[w], Memd[f], chisqr, Memd[e])
call printf ("Surface parameters:\n")
call printf (" function = %s\n")
call pargstr (Memc[func])
call printf (" xorder = %d\n yorder = %d\n xterms = %s\n")
call pargi (xorder)
call pargi (yorder)
call pargstr (Memc[xtype])
call printf (" weighting = %s\n")
call pargstr (Memc[wttype])
call printf (" xmin = %8.6g\n xmax = %8.6g\n")
call pargd (xmin)
call pargd (xmax)
call printf (" ymin = %8.6g\n ymax = %8.6g\n")
call pargd (ymin)
call pargd (ymax)
call printf (" zmin = %8.6g\n zmax = %8.6g\n")
call pargd (zmin)
call pargd (zmax)
call printf ("\nSurface coefficients:\n")
call printf (" x y coeff error\n")
i = 0
if (xterms == GS_XFULL) {
do k = 1, yorder {
do j = 1, xorder {
call printf (" %2d %2d %8.6g %8.6g\n")
call pargi (j-1)
call pargi (k-1)
call pargd (Memd[c+i])
call pargd (Memd[e+i])
i = i + 1
}
}
} else if (xterms == GS_XHALF) {
maxorder = max (xorder+1, yorder+1)
xincr = xorder
do k = 1, yorder {
do j = 1, xincr {
call printf (" %2d %2d %8.6g %8.6g\n")
call pargi (j-1)
call pargi (k-1)
call pargd (Memd[c+i])
call pargd (Memd[e+i])
i = i + 1
}
if ((k + xorder + 1) > maxorder)
xincr = xincr - 1
}
} else {
do j = 1, xorder {
call printf (" %2d %2d %8.6g %8.6g\n")
call pargi (j-1)
call pargi (0)
call pargd (Memd[c+i])
call pargd (Memd[e+i])
i = i + 1
}
do k = 2, yorder {
call printf (" %2d %2d %8.6g %8.6g\n")
call pargi (0)
call pargi (k-1)
call pargd (Memd[c+i])
call pargd (Memd[e+i])
i = i + 1
}
}
call printf ("\nFitted points:\n")
call printf (" %8s %8s %8s %8s %8s %8s\n")
call pargstr ("x")
call pargstr ("y")
call pargstr ("z")
call pargstr ("fit")
call pargstr ("residual")
call pargstr ("weight")
do i = 0, n-1 {
call printf (" %8.6g %8.6g %8.6g %8.6g %8.6g %8.6g\n")
call pargd (Memd[x+i])
call pargd (Memd[y+i])
call pargd (Memd[z+i])
call pargd (Memd[f+i])
call pargd (Memd[z+i] - Memd[f+i])
call pargd (Memd[w+i])
}
call printf ("\n chisqr = %8.6g\n")
call pargd (chisqr)
# Evaluate surface if desired.
call clgstr ("coordinates", Memc[coords], SZ_FNAME)
if (nowhite (Memc[coords], Memc[coords], SZ_FNAME) != 0) {
ptr = open (Memc[coords], READ_ONLY, TEXT_FILE); fd = ptr
call clgstr ("fit", Memc[fit], SZ_FNAME)
if (nowhite (Memc[fit], Memc[fit], SZ_FNAME) != 0) {
i = open (Memc[fit], APPEND, TEXT_FILE)
while (fscan (fd) != EOF) {
call gargd (r[1])
call gargd (r[2])
if (nscan() < 2)
next
if (r[1]<xmin || r[1]>xmax || r[2]<ymin || r[2]>ymax)
next
r[3] = dgseval (sf, r[1], r[2])
call fprintf (i, "%8.6g %8.6g %8.6g\n")
call pargd (r[1])
call pargd (r[2])
call pargd (r[3])
}
call close (i)
}
call close (fd)
}
# Create an image if desired.
call clgstr ("image", Memc[image], SZ_FNAME)
if (nowhite (Memc[image], Memc[image], SZ_FNAME) != 0) {
ncols = clgeti ("ncols")
nlines = clgeti ("nlines")
ptr = immap (Memc[image], NEW_IMAGE, 0); im = ptr
IM_PIXTYPE(im) = TY_REAL
IM_LEN(im,1) = ncols
IM_LEN(im,2) = nlines
call salloc (xvec, ncols, TY_DOUBLE)
call salloc (yvec, ncols, TY_DOUBLE)
dx = (xmax - xmin) / (ncols - 1)
dy = (ymax - ymin) / (nlines - 1)
do i = 1, ncols
Memd[xvec+i-1] = xmin + dx * (i - 1)
do i = 1, nlines {
Memd[yvec] = ymin + dy * (i - 1)
call amovkd (Memd[yvec], Memd[yvec], ncols)
call dgsvector (sf, Memd[xvec], Memd[yvec],
Memd[impl2d(im,i)], ncols)
}
r[1] = 1.
r[2] = 1.
r[3] = xmin
r[4] = ymin
r[5] = dx
r[6] = 0.
r[7] = 0.
r[8] = dy
mw = mw_open (NULL, 2)
call mw_newsystem (mw, "world", 2)
call mw_swtermd (mw, r[1], r[3], r[5], 2)
call mw_saveim (mw, im)
call mw_close (mw)
call imunmap (im)
}
call dgsfree (sf)
} then {
if (fd != NULL)
call close (fd)
if (mw != NULL)
call mw_close (mw)
if (im != NULL)
call imunmap (im)
if (sf != NULL)
call dgsfree (sf)
call erract (EA_WARN)
}
call sfree (sp)
end
|
