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
|
include <error.h>
include <mach.h>
include <gset.h>
define NSUB 3 # Number of pixel subsamples
define MC_N 50 # Monte-Carlo samples
define MC_P 10 # Percent done interval (percent)
define MC_SIG 68 # Sigma sample point (percent)
# GFIT -- Fit Gaussian
procedure gfit (sh, gfd, wx1, wy1, wcs, pix, n, fd1, fd2, xg, yg, sg, lg, pg,ng)
pointer sh # SHDR pointer
pointer gfd # GIO file descriptor
real wx1, wy1 # Cursor position
real wcs[n] # Spectrum data
real pix[n] # Spectrum data
int n # Number of points
int fd1, fd2 # Output file descriptors
pointer xg, yg, sg, lg, pg # Pointers to fit parameters
int ng # Number of components
int fit[5], nsub, mc_p, mc_sig, mc_n
int i, j, i1, npts, nlines, wc, key
long seed
real w, dw, wyc, wx, wy, wx2, wy2, v, u
real slope, peak, flux, cont, gfwhm, lfwhm, eqw, scale, sscale, chisq
real sigma0, invgain, wyc1, slope1, flux1, cont1, eqw1
bool fitit
pointer xg1, yg1, sg1, lg1
pointer sp, cmd, x, y, s, z, ym, conte, xge, yge, sge, lge, fluxe, eqwe
int clgeti(), clgcur()
real clgetr(), model(), gasdev(), asumr()
errchk dofit, dorefit
define done_ 99
begin
call smark (sp)
call salloc (cmd, SZ_FNAME, TY_CHAR)
# Input cursor is first continuum point now get second continuum point.
call printf ("k again:")
if (clgcur ("cursor", wx2, wy2, wc, key, Memc[cmd], SZ_FNAME) == EOF) {
call sfree (sp)
return
}
# Set pixel indices and determine number of points to fit.
call fixx (sh, wx1, wx2, wy1, wy2, i1, j)
npts = j - i1 + 1
if (npts < 3) {
call eprintf ("At least 3 points are required\n")
call sfree (sp)
return
}
# Allocate space for the points to be fit.
call salloc (x, npts, TY_REAL)
call salloc (y, npts, TY_REAL)
call salloc (s, npts, TY_REAL)
call salloc (z, npts, TY_REAL)
# Scale the data.
mc_n = clgeti ("nerrsample")
sigma0 = clgetr ("sigma0")
invgain = clgetr ("invgain")
if (IS_INDEF(sigma0) || IS_INDEF(invgain) || sigma0<0. ||
invgain<0. || (sigma0 == 0. && invgain == 0.)) {
sigma0 = INDEF
invgain = INDEF
}
scale = 0.
do i = 1, npts {
Memr[x+i-1] = wcs[i1+i-1]
Memr[y+i-1] = pix[i1+i-1]
if (Memr[y+i-1] <= 0.)
if (!IS_INDEF(invgain) && invgain != 0.) {
sigma0 = INDEF
invgain = INDEF
call eprintf (
"WARNING: Cannot compute errors with non-zero gain")
call eprintf (
" and negative pixel values.\n")
}
scale = max (scale, abs (Memr[y+i-1]))
}
if (IS_INDEF(sigma0)) {
call amovkr (1., Memr[s], npts)
sscale = 1.
} else {
do i = 1, npts
Memr[s+i-1] = sqrt (sigma0 ** 2 + invgain * Memr[y+i-1])
sscale = asumr (Memr[s], npts) / npts
}
call adivkr (Memr[y], scale, Memr[y], npts)
call adivkr (Memr[s], sscale, Memr[s], npts)
# Allocate memory.
nlines = 1
if (ng == 0) {
call malloc (xg, nlines, TY_REAL)
call malloc (yg, nlines, TY_REAL)
call malloc (sg, nlines, TY_REAL)
call malloc (lg, nlines, TY_REAL)
call malloc (pg, nlines, TY_INT)
} else if (ng != nlines) {
call realloc (xg, nlines, TY_REAL)
call realloc (yg, nlines, TY_REAL)
call realloc (sg, nlines, TY_REAL)
call realloc (lg, nlines, TY_REAL)
call realloc (pg, nlines, TY_INT)
}
ng = nlines
# Do fit.
fit[1] = 1
fit[2] = 2
fit[3] = 2
fit[4] = 2
fit[5] = 2
# Setup initial estimates.
slope = (wy2-wy1) / (wx2-wx1) / scale
wyc = wy1 / scale - slope * wx1
wx = 0
do i = 0, npts-1 {
w = Memr[x+i]
wy = Memr[y+i] - wyc - slope * w
if (abs (wy) > wx) {
wx = abs (wy)
j = i
Memr[xg] = w
Memr[yg] = wy
}
}
if (j > 0 && j < npts-1) {
w = Memr[x+j-1]
wy = min (0.99, max (0.01, abs (Memr[y+j-1] - wyc - slope*w) / wx))
gfwhm = 2.355 * sqrt (-0.5 * (w-Memr[xg])**2 / log (wy))
w = Memr[x+j+1]
wy = min (0.99, max (0.01, abs (Memr[y+j+1] - wyc - slope*w) / wx))
gfwhm = (gfwhm + 2.355 * sqrt (-0.5*(w-Memr[xg])**2/log (wy))) / 2
} else
gfwhm = 0.3 * abs (Memr[x+npts-1] - Memr[x])
switch (key) {
case 'l':
Memr[sg] = 0.
Memr[lg] = gfwhm
Memi[pg] = 2
case 'v':
Memr[sg] = 0.5 * gfwhm
Memr[lg] = 0.5 * gfwhm
Memi[pg] = 3
default:
Memr[sg] = gfwhm
Memr[lg] = 0.
Memi[pg] = 1
}
nsub = NSUB
dw = (wcs[n] - wcs[1]) / (n - 1)
iferr (call dofit (fit, Memr[x], Memr[y], Memr[s], npts, dw, nsub,
wyc, slope, Memr[xg], Memr[yg], Memr[sg], Memr[lg], Memi[pg],
ng, chisq)) {
fitit = false
goto done_
}
# Compute Monte-Carlo errors.
if (mc_n > 9 && !IS_INDEF(sigma0)) {
mc_p = nint (mc_n * MC_P / 100.)
mc_sig = nint (mc_n * MC_SIG / 100.)
call salloc (ym, npts, TY_REAL)
call salloc (xg1, ng, TY_REAL)
call salloc (yg1, ng, TY_REAL)
call salloc (sg1, ng, TY_REAL)
call salloc (lg1, ng, TY_REAL)
call salloc (conte, mc_n*ng, TY_REAL)
call salloc (xge, mc_n*ng, TY_REAL)
call salloc (yge, mc_n*ng, TY_REAL)
call salloc (sge, mc_n*ng, TY_REAL)
call salloc (lge, mc_n*ng, TY_REAL)
call salloc (fluxe, mc_n*ng, TY_REAL)
call salloc (eqwe, mc_n*ng, TY_REAL)
do i = 1, npts {
w = Memr[x+i-1]
Memr[ym+i-1] = model (w, dw, nsub, Memr[xg], Memr[yg],
Memr[sg], Memr[lg], Memi[pg], ng) + wyc + slope * w
}
seed = 1
do i = 0, mc_n-1 {
if (i > 0 && mod (i, mc_p) == 0) {
call printf ("%2d ")
call pargi (100 * i / mc_n)
call flush (STDOUT)
}
do j = 1, npts
Memr[y+j-1] = Memr[ym+j-1] +
sscale / scale * Memr[s+j-1] * gasdev (seed)
wyc1 = wyc
slope1 = slope
call amovr (Memr[xg], Memr[xg1], ng)
call amovr (Memr[yg], Memr[yg1], ng)
call amovr (Memr[sg], Memr[sg1], ng)
call amovr (Memr[lg], Memr[lg1], ng)
call dorefit (fit, Memr[x], Memr[y], Memr[s], npts,
dw, nsub, wyc1, slope1,
Memr[xg1], Memr[yg1], Memr[sg1], Memr[lg1], Memi[pg], ng,
chisq)
do j = 0, ng-1 {
cont = wyc + slope * Memr[xg+j]
cont1 = wyc1 + slope1 * Memr[xg+j]
switch (Memi[pg+j]) {
case 1:
flux = 1.064467 * Memr[yg+j] * Memr[sg+j]
flux1 = 1.064467 * Memr[yg1+j] * Memr[sg1+j]
case 2:
flux = 1.570795 * Memr[yg+j] * Memr[lg+j]
flux1 = 1.570795 * Memr[yg1+j] * Memr[lg1+j]
case 3:
call voigt (0., 0.832555*Memr[lg+j]/Memr[sg+j], v, u)
flux = 1.064467 * Memr[yg+j] * Memr[sg+j] / v
call voigt (0., 0.832555*Memr[lg1+j]/Memr[sg1+j], v, u)
flux1 = 1.064467 * Memr[yg1+j] * Memr[sg1+j] / v
}
if (cont > 0. && cont1 > 0.) {
eqw = -flux / cont
eqw1 = -flux1 / cont1
} else {
eqw = 0.
eqw1 = 0.
}
Memr[conte+j*mc_n+i] = abs (cont1 - cont)
Memr[xge+j*mc_n+i] = abs (Memr[xg1+j] - Memr[xg+j])
Memr[yge+j*mc_n+i] = abs (Memr[yg1+j] - Memr[yg+j])
Memr[sge+j*mc_n+i] = abs (Memr[sg1+j] - Memr[sg+j])
Memr[lge+j*mc_n+i] = abs (Memr[lg1+j] - Memr[lg+j])
Memr[fluxe+j*mc_n+i] = abs (flux1 - flux)
Memr[eqwe+j*mc_n+i] = abs (eqw1 - eqw)
}
}
do j = 0, ng-1 {
call asrtr (Memr[conte+j*mc_n], Memr[conte+j*mc_n], mc_n)
call asrtr (Memr[xge+j*mc_n], Memr[xge+j*mc_n], mc_n)
call asrtr (Memr[yge+j*mc_n], Memr[yge+j*mc_n], mc_n)
call asrtr (Memr[sge+j*mc_n], Memr[sge+j*mc_n], mc_n)
call asrtr (Memr[lge+j*mc_n], Memr[lge+j*mc_n], mc_n)
call asrtr (Memr[fluxe+j*mc_n], Memr[fluxe+j*mc_n], mc_n)
call asrtr (Memr[eqwe+j*mc_n], Memr[eqwe+j*mc_n], mc_n)
}
call amulkr (Memr[conte], scale, Memr[conte], mc_n*ng)
call amulkr (Memr[yge], scale, Memr[yge], mc_n*ng)
call amulkr (Memr[fluxe], scale, Memr[fluxe], mc_n*ng)
}
call amulkr (Memr[yg], scale, Memr[yg], ng)
wyc = (wyc + slope * wx1) * scale
slope = slope * scale
# Compute model spectrum with continuum and plot.
fitit = true
do i = 1, npts {
w = wcs[i1+i-1]
Memr[z+i-1] = model (w, dw, nsub, Memr[xg], Memr[yg],
Memr[sg], Memr[lg], Memi[pg], ng) + wyc + slope * (w - wx1)
}
call gseti (gfd, G_PLTYPE, 2)
call gseti (gfd, G_PLCOLOR, 2)
call gpline (gfd, wcs[i1], Memr[z], npts)
call gseti (gfd, G_PLTYPE, 3)
call gseti (gfd, G_PLCOLOR, 3)
call gline (gfd, wx1, wyc, wx2, wyc + slope * (wx2 - wx1))
call gseti (gfd, G_PLTYPE, 1)
call gseti (gfd, G_PLCOLOR, 1)
call gflush (gfd)
done_
# Log computed values
if (fitit) {
do i = 1, nlines {
w = Memr[xg+i-1]
cont = wyc + slope * (w - wx1)
peak = Memr[yg+i-1]
gfwhm = Memr[sg+i-1]
lfwhm = Memr[lg+i-1]
switch (Memi[pg+i-1]) {
case 1:
flux = 1.064467 * peak * gfwhm
if (cont > 0.)
eqw = -flux / cont
else
eqw = INDEF
call printf (
"\n%d: center = %8.6g, flux = %8.4g, eqw = %6.4g, gfwhm = %6.4g")
call pargi (i)
call pargr (w)
call pargr (flux)
call pargr (eqw)
call pargr (gfwhm)
case 2:
flux = 1.570795 * peak * lfwhm
if (cont > 0.)
eqw = -flux / cont
else
eqw = INDEF
call printf (
"\n%d: center = %8.6g, flux = %8.4g, eqw = %6.4g, lfwhm = %6.4g")
call pargi (i)
call pargr (w)
call pargr (flux)
call pargr (eqw)
call pargr (lfwhm)
case 3:
call voigt (0., 0.832555*lfwhm/gfwhm, v, u)
flux = 1.064467 * peak * gfwhm / v
if (cont > 0.)
eqw = -flux / cont
else
eqw = INDEF
call printf (
"\n%d: center = %8.6g, eqw = %6.4g, gfwhm = %6.4g, lfwhm = %6.4g")
call pargi (i)
call pargr (w)
call pargr (eqw)
call pargr (gfwhm)
call pargr (lfwhm)
}
if (fd1 != NULL) {
call fprintf (fd1,
" %9.7g %9.7g %9.6g %9.4g %9.6g %9.4g %9.4g\n")
call pargr (w)
call pargr (cont)
call pargr (flux)
call pargr (eqw)
call pargr (peak)
call pargr (gfwhm)
call pargr (lfwhm)
}
if (fd2 != NULL) {
call fprintf (fd2,
" %9.7g %9.7g %9.6g %9.4g %9.6g %9.4g %9.4g\n")
call pargr (w)
call pargr (cont)
call pargr (flux)
call pargr (eqw)
call pargr (peak)
call pargr (gfwhm)
call pargr (lfwhm)
}
if (mc_n > 9 && !IS_INDEF(sigma0)) {
if (fd1 != NULL) {
call fprintf (fd1,
" (%7.5g) (%7w) (%7.4g) (%7.4g) (%7.4g) (%7.4g) (%7.4g)\n")
call pargr (Memr[xge+(i-1)*mc_n+mc_sig])
call pargr (Memr[fluxe+(i-1)*mc_n+mc_sig])
call pargr (Memr[eqwe+(i-1)*mc_n+mc_sig])
call pargr (Memr[yge+(i-1)*mc_n+mc_sig])
call pargr (Memr[sge+(i-1)*mc_n+mc_sig])
call pargr (Memr[lge+(i-1)*mc_n+mc_sig])
}
if (fd2 != NULL) {
call fprintf (fd2,
" (%7.5g) (%7w) (%7.4g) (%7.4g) (%7.4g) (%7.4g) (%7.4g)\n")
call pargr (Memr[xge+(i-1)*mc_n+mc_sig])
call pargr (Memr[fluxe+(i-1)*mc_n+mc_sig])
call pargr (Memr[eqwe+(i-1)*mc_n+mc_sig])
call pargr (Memr[yge+(i-1)*mc_n+mc_sig])
call pargr (Memr[sge+(i-1)*mc_n+mc_sig])
call pargr (Memr[lge+(i-1)*mc_n+mc_sig])
}
}
}
} else {
call mfree (xg, TY_REAL)
call mfree (yg, TY_REAL)
call mfree (sg, TY_REAL)
call mfree (lg, TY_REAL)
call mfree (pg, TY_INT)
ng = 0
}
call sfree (sp)
end
|
