1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
|
include <imhdr.h>
include <math/curfit.h>
include <gset.h>
define MAX_NR_BEAMS 100 # Max number of instrument apertures
define KEY "noao$lib/scr/flatfit.key"
define PROMPT "flatfit cursor options"
# Definitions for Plotting modes
define PLT_FIT 1 # Plot the direct fit
define PLT_ERR 2 # Plot the errors in the fit
define PLT_LIN 3 # Plot the fit minus the linear part
# T_FLATFIT -- Accumulate a series of flat field spectra to produce
# a grand sum and fit a function to the sum to produce a normalized
# flat containing the pixel-to-pixel variations.
# User interaction via the graphics cursor is provided. The following
# cursor commands are recognized:
#
# ? - Screen help
# / - Status line help
# e - Plot in residual error mode
# f - Plot in fit to the data mode
# o - Change order of fit
# l - Change lower rejection sigma
# u - Change upper rejection sigma
# r - Reset fit to include rejected pixels
# s - Change upper and lower sigmas to same value
# i - Iterate again
# n - Iterate N times
# q - Quit and accept current solution (also RETURN)
#
procedure t_flatfit ()
pointer image # Image name to be fit
pointer images # Image name to be fit
pointer ofile # Output image file name
int function # Fitting function
int order # Order of fitting function
int recs # Spectral record numbers
int root, nrecs # CL and ranges flags
real expo # Exposure time
real dtime # Deadtime
real power # Power law coin. correction
real lower # Lower rejection sigma
real upper # Upper threshold sigma
int ngrow # Rejection radius
real div_min # Division min for option RESP
bool coincidence, all # Apply coincidence correction
bool interact # Interactive levels
pointer bstat # Status of each aperture
pointer npts # Length of spectrum
pointer esum # Accumulated exposure time
pointer accum # Pointers to beam accumulators
pointer title
int ccmode, beam
int niter
int i
pointer sp, str, im
int clgeti(), clgwrd(), clpopni(), imgeti()
int get_next_image(), decode_ranges()
real clgetr(), imgetr()
bool clgetb()
pointer immap()
begin
call smark (sp)
call salloc (image, SZ_FNAME, TY_CHAR)
call salloc (images, MAX_NR_BEAMS, TY_POINTER)
call salloc (ofile, SZ_FNAME, TY_CHAR)
call salloc (recs, 300, TY_INT)
call salloc (bstat, MAX_NR_BEAMS, TY_INT)
call salloc (npts, MAX_NR_BEAMS, TY_INT)
call salloc (esum, MAX_NR_BEAMS, TY_REAL)
call salloc (accum, MAX_NR_BEAMS, TY_POINTER)
call salloc (title, MAX_NR_BEAMS, TY_POINTER)
call salloc (str, SZ_LINE, TY_CHAR)
call amovki (NULL, Memi[images], MAX_NR_BEAMS)
# Get task parameters.
root = clpopni ("input")
# Get input record numbers
call clgstr ("records", Memc[str], SZ_LINE)
if (decode_ranges (Memc[str], Memi[recs], 100, nrecs) == ERR)
call error (0, "Bad range specification")
call clgstr ("output", Memc[ofile], SZ_LINE)
call clgcurfit ("function", "order", function, order)
lower = clgetr ("lower")
upper = clgetr ("upper")
ngrow = clgeti ("ngrow")
div_min = clgetr ("div_min")
# Determine desired level of activity
interact = clgetb ("interact")
all = clgetb ("all_interact")
niter = clgeti ("niter")
# Is coincidence correction to be performed?
coincidence = clgetb ("coincor")
if (coincidence) {
ccmode = clgwrd ("ccmode", Memc[str], SZ_LINE, ",photo,iids,")
dtime = clgetr ("deadtime")
power = clgetr ("power")
}
call reset_next_image ()
# Clear all beam status flags
call amovki (INDEFI, Memi[bstat], MAX_NR_BEAMS)
call aclrr (Memr[esum], MAX_NR_BEAMS)
call printf ("Accumulating spectra --\n")
call flush (STDOUT)
10 while (get_next_image (root, Memi[recs], nrecs, Memc[image],
SZ_FNAME) != EOF) {
iferr (im = immap (Memc[image], READ_ONLY, 0)) {
call eprintf ("Header info not available for [%s]\n")
call pargstr (Memc[image])
goto 10
}
iferr (beam = imgeti (im, "BEAM-NUM"))
beam = 0
if (beam < 0 || beam > MAX_NR_BEAMS-1)
call error (0, "Invalid aperture number")
iferr (expo = imgetr (im, "EXPOSURE"))
iferr (expo = imgetr (im, "ITIME"))
iferr (expo = imgetr (im, "EXPTIME"))
expo = 1
# Add spectrum into accumulator
if (IS_INDEFI (Memi[bstat+beam])) {
Memi[npts+beam] = IM_LEN (im,1)
call salloc (Memi[accum+beam], Memi[npts+beam], TY_REAL)
call aclrr (Memr[Memi[accum+beam]], Memi[npts+beam])
Memi[bstat+beam] = 0
call salloc (Memi[title+beam], SZ_LINE, TY_CHAR)
call strcpy (IM_TITLE(im), Memc[Memi[title+beam]], SZ_LINE)
}
call ff_accum_spec (im, Memi[npts], expo, Memi[bstat], beam+1,
Memi[accum], Memr[esum], coincidence, ccmode, dtime, power,
Memi[title])
call printf ("[%s] added to aperture %1d\n")
call pargstr (Memc[image])
call pargi (beam)
call flush (STDOUT)
if (Memi[images+beam] == NULL)
call salloc (Memi[images+beam], SZ_FNAME, TY_CHAR)
call strcpy (Memc[image], Memc[Memi[images+beam]], SZ_FNAME)
call imunmap (im)
}
# Review all apertures containing data and perform fits.
# Act interactively if desired
do i = 0, MAX_NR_BEAMS-1 {
if (!IS_INDEFI (Memi[bstat+i])) {
call fit_spec (Memr[Memi[accum+i]], Memi[npts+i], Memr[esum+i],
interact, function, order, niter, lower, upper, ngrow,
div_min, i)
if (interact & !all)
interact = false
call wrt_fit_spec (Memc[Memi[images+i]], Memr[Memi[accum+i]],
Memr[esum+i], Memc[ofile], i, Memc[Memi[title+i]],
Memi[npts+i], order)
}
}
call sfree (sp)
call clpcls (root)
end
# ACCUM_SPEC -- Accumulate spectra by beams
procedure ff_accum_spec (im, len, expo, beam_stat, beam, accum, expo_sum,
coincidence, ccmode, dtime, power, title)
pointer im, accum[ARB], title[ARB]
real expo, expo_sum[ARB]
int beam_stat[ARB], beam, len[ARB]
bool coincidence
int ccmode
real dtime, power
int npts, co_flag, imgeti()
pointer pix
pointer imgl1r()
begin
npts = IM_LEN (im, 1)
# Map pixels and optionally correct for coincidence
pix = imgl1r (im)
if (coincidence) {
iferr (co_flag = imgeti (im, "CO-FLAG"))
co_flag = -1
if (co_flag < 1) {
call coincor (Memr[pix], Memr[pix], npts, expo, co_flag,
dtime, power, ccmode)
}
}
# Add in the current data
npts = min (npts, len[beam])
call aaddr (Memr[pix], Memr[accum[beam]], Memr[accum[beam]], npts)
beam_stat[beam] = beam_stat[beam] + 1
expo_sum [beam] = expo_sum [beam] + expo
end
# WRT_FIT_SPEC -- Write out normalized spectrum
procedure wrt_fit_spec (image, accum, expo_sum, ofile, beam, title, npts, order)
char image[SZ_FNAME]
real accum[ARB], expo_sum
int beam, npts, order
char ofile[SZ_FNAME]
char title[SZ_LINE]
char output[SZ_FNAME], temp[SZ_LINE]
pointer im, imnew, newpix
pointer immap(), impl1r()
int strlen()
begin
im = immap (image, READ_ONLY, 0)
10 call strcpy (ofile, output, SZ_FNAME)
call sprintf (output[strlen (output) + 1], SZ_FNAME, ".%04d")
call pargi (beam)
# Create new image with a user area
# If an error occurs, ask user for another name to try
# since many open errors result from trying to overwrite an
# existing image.
iferr (imnew = immap (output, NEW_COPY, im)) {
call eprintf ("Cannot create [%s] -- Already exists??\07\n")
call pargstr (output)
call clgstr ("output", ofile, SZ_FNAME)
go to 10
}
call strcpy ("Normalized flat:", temp, SZ_LINE)
call sprintf (temp[strlen (temp) + 1], SZ_LINE, "%s")
call pargstr (title)
call strcpy (temp, IM_TITLE (imnew), SZ_LINE)
IM_PIXTYPE (imnew) = TY_REAL
newpix = impl1r (imnew)
call amovr (accum, Memr[newpix], npts)
call imaddr (imnew, "EXPOSURE", expo_sum)
call imaddi (imnew, "QF-FLAG", order)
call imunmap (im)
call imunmap (imnew)
call printf ("Fit for aperture %1d --> [%s]\n")
call pargi (beam)
call pargstr (output)
call flush (STDOUT)
end
# FIT_SPEC -- Fit a line through the spectrum with user interaction
procedure fit_spec (accum, npts, expo_sum, interact, function,
order, niter, lower, upper, ngrow, div_min, beam)
real accum[ARB], expo_sum
bool interact
int function, order, niter, ngrow, npts, beam
real lower, upper, div_min
int cc, key, gp, plt_mode
int i, initer, sum_niter, newgraph
real x1, y1, sigma, temp
pointer sp, wts, x, y, cv
bool first
char gtitle[SZ_LINE], command[SZ_FNAME]
int clgcur(), clgeti()
pointer gopen()
real clgetr(), cveval()
data plt_mode/PLT_FIT/
begin
# Perform initial fit
call smark (sp)
call salloc (wts, npts, TY_REAL)
call salloc (x , npts, TY_REAL)
call salloc (y , npts, TY_REAL)
first = true
if (!interact) {
sum_niter = 0
do i = 1, niter
call linefit (accum, npts, function, order, lower, upper,
ngrow, cv, first, Memr[wts], Memr[x])
sum_niter = niter
} else {
gp = gopen ("stdgraph", NEW_FILE, STDGRAPH)
call sprintf (gtitle, SZ_LINE, "Flat Field Sum - %f seconds ap:%1d")
call pargr (expo_sum)
call pargi (beam)
key = 'r'
repeat {
switch (key) {
case 'e': # Plot errors
plt_mode = PLT_ERR
newgraph = YES
case 'f': # Plot fit
plt_mode = PLT_FIT
newgraph = YES
case 'o': # Change order
order = clgeti ("new_order")
# Reinstate all pixels
first = true
newgraph = YES
case 'l': # Change lower sigma
lower = clgetr ("new_lower")
newgraph = YES
case 'u': # Change upper sigma
upper = clgetr ("new_upper")
newgraph = YES
case 'r': # Reset fit parameters
first = true
newgraph = YES
case 's': # Change both rejection sigmas
lower = clgetr ("new_lower")
upper = lower
call clputr ("new_upper", upper)
newgraph = YES
case 'i': # Iterate again - Drop thru
initer = 1
newgraph = YES
case 'n': # Iterate n times
initer = clgeti ("new_niter")
newgraph = YES
case 'q': # Quit
break
case '?': # Clear and help
call gpagefile (gp, KEY, PROMPT)
case '/': # Status line help
call ff_sts_help
case 'I': # Interrupt
call fatal (0, "Interrupt")
default:
call printf ("\07\n")
}
if (newgraph == YES) {
# Suppress an iteration if plot mode change requested
if (key != 'e' && key != 'f') {
if (first) {
sum_niter = 0
initer = niter
call cvfree (cv)
}
do i = 1, initer
call linefit (accum, npts, function, order, lower,
upper, ngrow, cv, first, Memr[wts], Memr[x])
sum_niter = sum_niter + initer
}
switch (plt_mode) {
case PLT_FIT:
call plot_fit (gp, accum, cv, function, order, npts,
gtitle, Memr[wts], Memr[x], Memr[y], sigma)
case PLT_ERR:
call plot_fit_er (gp, accum, cv, function, order, npts,
gtitle, Memr[wts], Memr[x], Memr[y], sigma)
}
newgraph = NO
}
} until (clgcur ("cursor",x1,y1,cc,key,command,SZ_FNAME) == EOF)
call gclose (gp)
}
# Replace original data with the data/fit
do i = 1, npts {
temp = cveval (cv, real (i))
if (temp == 0.0)
temp = max (temp, div_min)
accum[i] = accum[i] / temp
}
call cvfree (cv)
call sfree (sp)
# Save iteration count for next time
niter = sum_niter
end
# LINEFIT -- Fit desired function thru data
procedure linefit (pix, npts, function, order, lower, upper, ngrow, cv,
first, wts, x)
real pix[ARB] # Data array to fit
int npts # Elements in array
int function # Type of fitting function
int order # Order of fitting function
real lower # Lower rejection threshold
real upper # Upper rejection threshold
int ngrow # Rejection growing radius
pointer cv
real wts[ARB] # Array weights
real x[ARB]
bool first
int ier, i, nreject
int reject()
begin
10 if (first) {
do i = 1, npts {
x[i] = i
wts[i] = 1.0
}
# Initialize curve fitting.
call cvinit (cv, function, order, 1., real (npts))
call cvfit (cv, x, pix, wts, npts, WTS_USER, ier)
nreject = 0
first = false
}
# Do pixel rejection if desired.
if ((lower > 0.) || (upper > 0.))
nreject = reject (cv, x, pix, wts, npts, lower, upper, ngrow)
else
nreject = 0
if (nreject == ERR) {
call eprintf ("Cannot fit data -- too many points rejected??\n")
call cvfree (cv)
first = true
go to 10
}
end
# REJECT -- Reject points with large residuals from the fit.
#
# The sigma of the input to the fit is calculated. The rejection thresholds
# are set at -lower*sigma and upper*sigma. Points outside the rejection
# thresholds are rejected from the fit and flaged by setting their
# weights to zero. Finally, the remaining points are refit and a new
# fit line evaluated. The number of points rejected is returned.
int procedure reject (cv, x, y, w, npoints, lower, upper, ngrow)
pointer cv # Curve descriptor
real x[ARB] # Input ordinates
real y[ARB] # Input data values
real w[ARB] # Weights
int npoints # Number of input points
real lower # Lower rejection sigma
real upper # Upper rejection sigma
int ngrow # Rejection radius
int i, j, n, i_min, i_max, nreject
real sigma, residual, resid_min, resid_max
real cveval()
begin
# Determine sigma of fit and set rejection limits.
sigma = 0.
n = 0
do i = 1, npoints {
if (w[i] == 0.)
next
sigma = sigma + (y[i] - cveval (cv, x[i])) ** 2
n = n + 1
}
sigma = sqrt (sigma / (n - 1))
resid_min = -lower * sigma
resid_max = upper * sigma
# Reject the residuals exceeding the rejection limits.
nreject = 0
for (i = 1; i <= npoints; i = i + 1) {
if (w[i] == 0.)
next
residual = y[i] - cveval (cv, x[i])
if ((residual < resid_min) || (residual > resid_max)) {
i_min = max (1, i - ngrow)
i_max = min (npoints, i + ngrow)
# Reject points from the fit and flag them with zero weight.
do j = i_min, i_max {
call cvrject (cv, x[j], y[j], w[j])
w[j] = 0.
nreject = nreject + 1
}
i = i_max
}
}
# Refit if points have been rejected.
if (nreject > 0) {
call cvsolve (cv, i)
if (i != OK)
return (ERR)
}
return (nreject)
end
# PLOT_FIT -- Plot the fit to the image line and data
procedure plot_fit (gp, pix, cv, function, order, npts, gtitle, wts, xfit,
yfit, sigma)
int gp, npts, function, order
real pix[ARB], wts[ARB], xfit[ARB], yfit[ARB]
pointer cv
real sigma
char gtitle[SZ_LINE]
real x1, x2
int i
begin
# Set up plot
x1 = 1.0
x2 = npts
call gseti (gp, G_NMINOR, 0)
call gclear (gp)
call gsview (gp, 0.15, 0.95, 0.20, 0.9)
call gploto (gp, pix, npts, x1, x2, gtitle)
# Now plot the fit
do i = 1, npts
xfit[i] = i
call cvvector (cv, xfit, yfit, npts)
call gvline (gp, yfit, npts, x1, x2)
# Compute sigma and write it out
call get_sigma (pix, yfit, wts, npts, sigma)
call show_status (function, order, sigma, npts, wts)
end
# PLOT_FIT_ER -- Plot the error in the fit to the image line and data
procedure plot_fit_er (gp, pix, cv, function, order, npts, gtitle, wts, xfit,
yfit, sigma)
int gp, npts, function, order
real pix[ARB], wts[ARB], xfit[ARB], yfit[ARB]
pointer cv
real sigma
char gtitle[SZ_LINE]
real x1, x2, y[2]
int i
begin
# Set up plot
x1 = 1.0
x2 = npts
y[1] = -0.0001
y[2] = +0.0001
call cvvector (cv, xfit, yfit, npts)
# Compute percentage errors
do i = 1, npts
if (pix[i] != 0.0)
yfit[i] = (pix[i] - yfit[i]) / pix[i]
else
yfit[i] = 0.0
call gseti (gp, G_NMINOR, 0)
call gclear (gp)
call gsview (gp, 0.15, 0.95, 0.20, 0.9)
call gploto (gp, yfit, npts, x1, x2,
"Flat field fractional error in fit")
# Draw a zero error line
call gline (gp, x1, y[1], x2, y[2])
# Compute sigma
call get_sigma0 (yfit, wts, npts, sigma)
call show_status (function, order, sigma, npts, wts)
end
# SHOW_STATUS -- Show the fit status on status line
procedure show_status (function, order, sigma, npts, wts)
int function, order, npts
real sigma, wts[ARB]
int i, nvals
begin
# Count non-rejected points
nvals = 0
do i = 1, npts
if (wts[i] != 0.0)
nvals = nvals + 1
call printf ("Fit type: %s order: %2d rms: %6.3f")
switch (function) {
case LEGENDRE:
call pargstr ("Legendre")
case CHEBYSHEV:
call pargstr ("Chebyshev")
case SPLINE3:
call pargstr ("Spline3")
case SPLINE1:
call pargstr ("Spline1")
default:
call pargstr ("???")
}
call pargi (order)
call pargr (sigma)
call printf (" points: %d out of %d")
call pargi (nvals)
call pargi (npts)
call flush (STDOUT)
end
# GET_SIGMA -- Compute rms error between two vectors whose average difference
# is zero.
procedure get_sigma (y1, y2, wts, n, sigma)
real y1[ARB], y2[ARB], wts[ARB], sigma
int n
int i, nval
real sum
begin
sum = 0.0
nval = 0
do i = 1, n
if (wts[i] != 0.0) {
sum = sum + (y1[i] - y2[i]) ** 2
nval = nval + 1
}
sigma = sqrt (sum / (nval-1))
return
end
# GET_SIGMA0 -- Compute rms error of a vector
procedure get_sigma0 (y1, wts, n, sigma)
real y1[ARB], wts[ARB], sigma
int n
int i, nval
real sum
begin
sum = 0.0
nval = 0
do i = 1, n
if (wts[i] != 0.0) {
sum = sum + y1[i]**2
nval = nval + 1
}
sigma = sqrt (sum / (nval-1))
return
end
# FF_STS_HELP -- Status line help for Flat Fit
procedure ff_sts_help ()
int linenr, maxline
data linenr/1/
data maxline/2/
begin
switch (linenr) {
case 1:
call printf ("e=err plot f=data plot o=order l=lower sigma ")
call printf ("u=upper sigma s=both sigmas")
case 2:
call printf ("r=incl reject i=iterate n=niterate q=quit ")
call printf ("?=help /=linehelp <CR>=quit")
}
call flush (STDOUT)
linenr = linenr + 1
if (linenr > maxline)
linenr = 1
end
|