source: Sophya/trunk/Cosmo/SimLSS/cmvobserv3d.cc@ 3155

Last change on this file since 3155 was 3155, checked in by cmv, 19 years ago

PrtTim deplaces de genefluct3d.cc -> cmvobserv3d.cc cmv 19/01/2007

File size: 15.9 KB
Line 
1#include "sopnamsp.h"
2#include "machdefs.h"
3#include <iostream>
4#include <stdlib.h>
5#include <stdio.h>
6#include <string.h>
7#include <math.h>
8#include <unistd.h>
9#include "timing.h"
10#include "ntuple.h"
11#include "matharr.h"
12
13#include "constcosmo.h"
14#include "schechter.h"
15#include "geneutils.h"
16#include "integfunc.h"
17#include "genefluct3d.h"
18
19void usage(void);
20void usage(void)
21{
22 cout<<"cmvobserv3d [-a] [-0]"<<endl
23 <<" -a : init auto de l aleatoire"<<endl
24 <<" -0 : use methode ComputeFourier0"<<endl
25 <<" -x nx,dx : taille en x (npix,Mpc)"<<endl
26 <<" -y ny,dy : taille en y (npix,Mpc)"<<endl
27 <<" -z nz,dz : taille en z (npix,Mpc)"<<endl
28 <<" -Z zref : redshift median"<<endl
29 <<" -s snoise : sigma du bruit en Msol"<<endl
30 <<" -2 : compute 2D spectrum"<<endl
31 <<" -F : write cube in FITS format"<<endl
32 <<" -P : write cube in PPF format"<<endl
33 <<" -V : compute variance from real space"<<endl
34 <<endl;
35}
36
37int main(int narg,char *arg[])
38{
39 InitTim();
40
41 //-----------------------------------------------------------------
42 // *** Survey definition
43 long nx=360, ny=-1, nz=64; double dx=1., dy=-1., dz=-1.;
44 //long nx=1000, ny=-1, nz=128; double dx=3., dy=-1., dz=6.;
45 //long nx=1200, ny=-1, nz=128; double dx=1., dy=-1., dz=3;
46
47 // *** Cosmography definition (WMAP)
48 double ob0 = 0.0444356;
49 double h100=0.71, om0=0.267804, or0=7.9e-05, ol0=0.73,w0=-1.;
50 double zref = 0.5;
51
52 // *** Spectrum and variance definition
53 double ns = 1., as = 1.;
54 double R=8./h100, Rg=R/sqrt(5.);
55 double sigmaR = 1.;
56
57 double kmin=1e-5,kmax=1000.;
58 int npt = 10000;
59 double lkmin=log10(kmin), lkmax=log10(kmax);
60 double eps=1.e-3;
61
62 // *** Schechter mass function definition
63 double h75 = 0.71 / 0.75;
64 double nstar = 0.006*pow(h75,3.);
65 double mstar = pow(10.,9.8/(h75*h75)); // MSol
66 double alpha = -1.37;
67
68 double schmin=1e8, schmax=1e12;
69 int schnpt = 1000;
70 double lschmin=log10(schmin), lschmax=log10(schmax), dlsch=(lschmax-lschmin)/schnpt;
71
72 // *** Niveau de bruit
73 double snoise= 0.; // en equivalent MSol
74
75 // *** type de generation
76 bool computefourier0=false;
77 unsigned short nthread=4;
78
79 // *** What to do
80 bool comp2dspec = false;
81 bool wfits = false;
82 bool wppf = false;
83 bool compvarreal = false;
84
85 // --- Decodage arguments
86
87 char c;
88 while((c = getopt(narg,arg,"ha0PWV2x:y:z:s:Z:")) != -1) {
89 switch (c) {
90 case 'a' :
91 Auto_Ini_Ranf(5);
92 break;
93 case '0' :
94 computefourier0 = true;
95 break;
96 case 'x' :
97 sscanf(optarg,"%ld,%lf",&nx,&dx);
98 break;
99 case 'y' :
100 sscanf(optarg,"%ld,%lf",&ny,&dy);
101 break;
102 case 'z' :
103 sscanf(optarg,"%ld,%lf",&nz,&dz);
104 break;
105 case 's' :
106 sscanf(optarg,"%lf",&snoise);
107 break;
108 case 'Z' :
109 sscanf(optarg,"%lf",&zref);
110 break;
111 case '2' :
112 comp2dspec = true;
113 break;
114 case 'V' :
115 compvarreal = true;
116 break;
117 case 'W' :
118 wfits = true;
119 break;
120 case 'P' :
121 wppf = true;
122 break;
123 case 'h' :
124 default :
125 usage(); return -1;
126 }
127 }
128
129 string tagobs = "cmvobserv3d.ppf";
130 POutPersist posobs(tagobs);
131
132 cout<<"zref="<<zref<<endl;
133 cout<<"nx="<<nx<<" dx="<<dx<<" ny="<<ny<<" dy="<<dy<<" nz="<<nz<<" dz="<<dz<<endl;
134 cout<<"kmin="<<kmin<<" ("<<lkmin<<"), kmax="<<kmax<<" ("<<lkmax<<") Mpc^-1"
135 <<", npt="<<npt<<endl;
136 cout<<"R="<<R<<" Rg="<<Rg<<" Mpc, sigmaR="<<sigmaR<<endl;
137 cout<<"nstar= "<<nstar<<" mstar="<<mstar<<" alpa="<<alpha<<endl;
138 cout<<"schmin="<<schmin<<" ("<<lschmin
139 <<"), schmax="<<schmax<<" ("<<lschmax<<") Msol"
140 <<", schnpt="<<schnpt<<endl;
141 cout<<"snoise="<<snoise<<" equivalent Msol"<<endl;
142
143 //-----------------------------------------------------------------
144 cout<<endl<<"\n--- Create Spectrum and mass function"<<endl;
145
146 InitialSpectrum pkini(ns,as);
147
148 TransfertEisenstein tf(h100,om0-ob0,ob0,T_CMB_Par,false);
149 //tf.SetNoOscEnv(2);
150
151 GrowthFactor d1(om0,ol0);
152
153 PkSpectrum0 pk0(pkini,tf);
154
155 PkSpectrumZ pkz(pk0,d1,zref);
156
157 Schechter sch(nstar,mstar,alpha);
158
159 //-----------------------------------------------------------------
160 pkz.SetZ(0.);
161 cout<<endl<<"\n--- Compute variance for top-hat R="<<R
162 <<" at z="<<pkz.GetZ()<<endl;
163 VarianceSpectrum varpk_th(pkz,0);
164 double kfind_th = varpk_th.FindMaximum(R,kmin,kmax,eps);
165 double pkmax_th = varpk_th(kfind_th);
166 cout<<"kfind_th = "<<kfind_th<<" ("<<log10(kfind_th)<<"), integrand="<<pkmax_th<<endl;
167 double k1=kmin, k2=kmax;
168 int rc = varpk_th.FindLimits(R,pkmax_th/1.e4,k1,k2,eps);
169 cout<<"limit_th: rc="<<rc<<" : "<<k1<<" ("<<log10(k1)<<") , "
170 <<k2<<" ("<<log10(k2)<<")"<<endl;
171
172 double ldlk = (log10(k2)-log10(k1))/npt;
173 varpk_th.SetInteg(0.01,ldlk,-1.,4);
174 double sr2 = varpk_th.Variance(R,k1,k2);
175 cout<<"varpk_th="<<sr2<<" -> sigma="<<sqrt(sr2)<<endl;
176
177 double normpkz = sigmaR*sigmaR/sr2;
178 pkz.SetScale(normpkz);
179 cout<<"Spectrum normalisation = "<<pkz.GetScale()<<endl;
180
181 pkz.SetZ(zref);
182
183 Histo hpkz(lkmin,lkmax,npt); hpkz.ReCenterBin();
184 FuncToHisto(pkz,hpkz,true);
185 {
186 tagobs = "hpkz"; posobs.PutObject(hpkz,tagobs);
187 }
188
189 //-----------------------------------------------------------------
190 cout<<endl<<"\n--- Compute variance for Pk at z="<<pkz.GetZ()<<endl;
191 VarianceSpectrum varpk_int(pkz,2);
192
193 double kfind_int = varpk_int.FindMaximum(R,kmin,kmax,eps);
194 double pkmax_int = varpk_int(kfind_int);
195 cout<<"kfind_int = "<<kfind_int<<" ("<<log10(kfind_int)<<"), integrand="<<pkmax_int<<endl;
196 double k1int=kmin, k2int=kmax;
197 int rcint = varpk_int.FindLimits(R,pkmax_int/1.e4,k1int,k2int,eps);
198 cout<<"limit_int: rc="<<rcint<<" : "<<k1int<<" ("<<log10(k1int)<<") , "
199 <<k2int<<" ("<<log10(k2int)<<")"<<endl;
200
201 double ldlkint = (log10(k2int)-log10(k1int))/npt;
202 varpk_int.SetInteg(0.01,ldlkint,-1.,4);
203 double sr2int = varpk_int.Variance(R,k1int,k2int);
204 cout<<"varpk_int="<<sr2int<<" -> sigma="<<sqrt(sr2int)<<endl;
205
206 //-----------------------------------------------------------------
207 cout<<endl<<"\n--- Compute galaxy density number"<<endl;
208
209 sch.SetOutValue(0);
210 cout<<"sch(mstar) = "<<sch(mstar)<<" /Mpc^3/Msol"<<endl;
211 double ngal_by_mpc3 = IntegrateFuncLog(sch,lschmin,lschmax,0.01,dlsch,10.*dlsch,4);
212 cout<<"Galaxy density number = "<<ngal_by_mpc3<<" /Mpc^3 between limits"<<endl;
213
214 sch.SetOutValue(1);
215 cout<<"mstar*sch(mstar) = "<<sch(mstar)<<" Msol/Mpc^3/Msol"<<endl;
216 double mass_by_mpc3 = IntegrateFuncLog(sch,lschmin,lschmax,0.01,dlsch,10.*dlsch,4);
217 cout<<"Galaxy mass density= "<<mass_by_mpc3<<" Msol/Mpc^3 between limits"<<endl;
218
219 PrtTim(">>>> End of definition");
220
221 //-----------------------------------------------------------------
222 // FFTW3 (p26): faster if sizes 2^a 3^b 5^c 7^d 11^e 13^f with e+f=0 ou 1
223 cout<<endl<<"\n--- Initialisation de GeneFluct3D"<<endl;
224
225 pkz.SetZ(zref);
226 TArray< complex<r_8> > pkgen;
227 GeneFluct3D fluct3d(pkgen);
228 fluct3d.SetPrtLevel(2);
229 fluct3d.SetNThread(nthread);
230 fluct3d.SetSize(nx,ny,nz,dx,dy,dz);
231 TArray<r_8>& rgen = fluct3d.GetRealArray();
232 fluct3d.Print();
233
234 double dkmin = fluct3d.GetKincMin();
235 double knyqmax = fluct3d.GetKmax();
236 long nherr = long(knyqmax/dkmin+0.5);
237 cout<<"For HistoErr: d="<<dkmin<<" max="<<knyqmax<<" n="<<nherr<<endl;
238
239 double dktmin = fluct3d.GetKTincMin();
240 double ktnyqmax = fluct3d.GetKTmax();
241 long nherrt = long(ktnyqmax/dktmin+0.5);
242 double dkzmin = fluct3d.GetKinc()[2];
243 double kznyqmax = fluct3d.GetKnyq()[2];
244 long nherrz = long(kznyqmax/dkzmin+0.5);
245 cout<<"For Histo2DErr: d="<<dktmin<<","<<dkzmin
246 <<" max="<<ktnyqmax<<","<<kznyqmax<<" n="<<nherrt<<","<<nherrz<<endl;
247
248 cout<<"\n--- Computing spectra variance up to Kmax at z="<<pkz.GetZ()<<endl;
249 // En fait on travaille sur un cube inscrit dans la sphere de rayon kmax:
250 // sphere: Vs = 4Pi/3 k^3 , cube inscrit (cote k*sqrt(2)): Vc = (k*sqrt(2))^3
251 // Vc/Vs = 0.675 -> keff = kmax * (0.675)^(1/3) = kmax * 0.877
252 double knyqmax_mod = 0.877*knyqmax;
253 ldlkint = (log10(knyqmax_mod)-log10(k1int))/npt;
254 varpk_int.SetInteg(0.01,ldlkint,-1.,4);
255 double sr2int_kmax = varpk_int.Variance(R,k1int,knyqmax_mod);
256 cout<<"varpk_int(<"<<knyqmax_mod<<")="<<sr2int_kmax<<" -> sigma="<<sqrt(sr2int_kmax)<<endl;
257
258 PrtTim(">>>> End Initialisation de GeneFluct3D");
259
260 cout<<"\n--- Computing a realization in Fourier space"<<endl;
261 if(computefourier0) fluct3d.ComputeFourier0(pkz);
262 else fluct3d.ComputeFourier(pkz);
263 PrtTim(">>>> End Computing a realization in Fourier space");
264
265 if(1) {
266 cout<<"\n--- Checking realization spectra"<<endl;
267 HistoErr hpkgen(0.,knyqmax,nherr);
268 hpkgen.ReCenterBin(); hpkgen.Zero();
269 hpkgen.Show();
270 fluct3d.ComputeSpectrum(hpkgen);
271 {
272 tagobs = "hpkgen"; posobs.PutObject(hpkgen,tagobs);
273 }
274 PrtTim(">>>> End Checking realization spectra");
275 }
276
277 if(comp2dspec) {
278 cout<<"\n--- Checking realization 2D spectra"<<endl;
279 Histo2DErr hpkgen2(0.,ktnyqmax,nherrt,0.,kznyqmax,nherrz);
280 hpkgen2.ReCenterBin(); hpkgen2.Zero();
281 hpkgen2.Show();
282 fluct3d.ComputeSpectrum2D(hpkgen2);
283 {
284 tagobs = "hpkgen2"; posobs.PutObject(hpkgen2,tagobs);
285 }
286 PrtTim(">>>> End Checking realization 2D spectra");
287 }
288
289 if(1) {
290 cout<<"\n--- Computing convolution by pixel shape"<<endl;
291 fluct3d.FilterByPixel();
292 PrtTim(">>>> End Computing convolution by pixel shape");
293 }
294
295 if(wfits) {
296 fluct3d.WriteFits("!cmvobserv3d_k0.fits");
297 PrtTim(">>>> End WriteFits");
298 }
299 if(wppf) {
300 fluct3d.WritePPF("cmvobserv3d_k0.ppf",false);
301 PrtTim(">>>> End WritePPF");
302 }
303
304 if(1) {
305 cout<<"\n--- Checking realization spectra after pixel shape convol."<<endl;
306 HistoErr hpkgenf(0.,knyqmax,nherr);
307 hpkgenf.ReCenterBin(); hpkgenf.Zero();
308 hpkgenf.Show();
309 fluct3d.ComputeSpectrum(hpkgenf);
310 {
311 tagobs = "hpkgenf"; posobs.PutObject(hpkgenf,tagobs);
312 }
313 PrtTim(">>>> End Checking realization spectra");
314 }
315
316 if(comp2dspec) {
317 cout<<"\n--- Checking realization 2D spectra after pixel shape convol."<<endl;
318 Histo2DErr hpkgenf2(0.,ktnyqmax,nherrt,0.,kznyqmax,nherrz);
319 hpkgenf2.ReCenterBin(); hpkgenf2.Zero();
320 hpkgenf2.Show();
321 fluct3d.ComputeSpectrum2D(hpkgenf2);
322 {
323 tagobs = "hpkgenf2"; posobs.PutObject(hpkgenf2,tagobs);
324 }
325 PrtTim(">>>> End Checking realization 2D spectra");
326 }
327
328 cout<<"\n--- Computing a realization in real space"<<endl;
329 fluct3d.ComputeReal();
330 double rmin,rmax; rgen.MinMax(rmin,rmax);
331 cout<<"rgen.Min = "<<rmin<<" , Max="<<rmax<<endl;
332 PrtTim(">>>> End Computing a realization in real space");
333
334 if(wfits) {
335 fluct3d.WriteFits("!cmvobserv3d_r0.fits");
336 PrtTim(">>>> End WriteFits");
337 }
338 if(wppf) {
339 fluct3d.WritePPF("cmvobserv3d_r0.ppf",true);
340 PrtTim(">>>> End WritePPF");
341 }
342
343 int_8 nm;
344 double rm,rs2;
345 if(1) {
346 cout<<"\n--- Check mean and variance in real space"<<endl;
347 int_8 nlowone = fluct3d.NumberOfBad(-1.,1e+200);
348 nm = fluct3d.MeanSigma2(rm,rs2);
349 cout<<"rgen:("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
350 <<rs2<<" -> "<<sqrt(rs2)<<", n(<-1)="<<nlowone<<endl;
351 PrtTim(">>>> End Check mean and variance in real space");
352 }
353
354 if(compvarreal) {
355 cout<<"\n--- Check variance sigmaR in real space"<<endl;
356 double varr;
357 int_8 nvarr = fluct3d.VarianceFrReal(R,varr);
358 cout<<"R="<<R<<" : sigmaR^2="<<varr<<" -> "<<sqrt(varr)<<", n="<<nvarr<<endl;
359 PrtTim(">>>> End Check variance sigmaR in real space");
360 }
361
362 //-----------------------------------------------------------------
363 cout<<endl<<"\n--- Converting fluctuations into mass"<<endl;
364 fluct3d.TurnFluct2Mass();
365 nm = fluct3d.MeanSigma2(rm,rs2);
366 cout<<"1+rgen: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
367 <<rs2<<" -> "<<sqrt(rs2)<<endl;
368 PrtTim(">>>> End Converting fluctuations into mass");
369
370 cout<<"\n--- Converting mass into galaxy number"<<endl;
371 rm = fluct3d.TurnMass2MeanNumber(ngal_by_mpc3);
372 cout<<rm<<" galaxies put into survey"<<endl;
373 nm = fluct3d.MeanSigma2(rm,rs2,0.);
374 cout<<"galaxy: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
375 <<rs2<<" -> "<<sqrt(rs2)<<endl;
376 PrtTim(">>>> End Converting mass into galaxy number");
377
378 cout<<"\n--- Set negative pixels to BAD"<<endl;
379 nm = fluct3d.SetToVal(0.,1e+200,-999.);
380 cout<<nm<<" negative in survey set to BAD"<<endl;
381 nm = fluct3d.MeanSigma2(rm,rs2,-998.);
382 cout<<"galaxy: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
383 <<rs2<<" -> "<<sqrt(rs2)<<endl;
384 PrtTim(">>>> End Set negative pixels to BAD etc...");
385
386 cout<<"\n--- Apply poisson on galaxy number"<<endl;
387 nm = fluct3d.ApplyPoisson();
388 cout<<nm<<" galaxies into survey after poisson"<<endl;
389 nm = fluct3d.MeanSigma2(rm,rs2,-998.);
390 cout<<"galaxy: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
391 <<rs2<<" -> "<<sqrt(rs2)<<endl;
392 PrtTim(">>>> End Apply poisson on galaxy number");
393
394 cout<<"\n--- Convert Galaxy number to HI mass"<<endl;
395 long nhmdndm = long( (lschmax-lschmin+1.)*100. + 0.5);
396 Histo hmdndm(lschmin,lschmax,nhmdndm);
397 sch.SetOutValue(1);
398 FuncToHisto(sch,hmdndm,true);
399 FunRan tirhmdndm(hmdndm,true);
400 {
401 tagobs = "hmdndm"; posobs.PutObject(hmdndm,tagobs);
402 Histo hdum1(tirhmdndm);
403 tagobs = "tirhmdndm"; posobs.PutObject(hdum1,tagobs);
404 }
405 double mhi = fluct3d.TurnNGal2Mass(tirhmdndm,true);
406 cout<<mhi<<" MSol in survey / "<<mass_by_mpc3*fluct3d.GetVol()<<endl;
407 nm = fluct3d.MeanSigma2(rm,rs2,0.);
408 cout<<"HI mass: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
409 <<rs2<<" -> "<<sqrt(rs2)<<endl;
410 cout<<"Equivalent: "<<rm*nm/fluct3d.NPix()<<" Msol / pixels"<<endl;
411 PrtTim(">>>> End Convert Galaxy number to HI mass");
412
413 cout<<"\n--- Set BAD pixels to Zero"<<endl;
414 nm = fluct3d.SetToVal(-998.,1e+200,0.);
415 cout<<nm<<" BAD in survey set to zero"<<endl;
416 nm = fluct3d.MeanSigma2(rm,rs2);
417 cout<<"galaxy: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
418 <<rs2<<" -> "<<sqrt(rs2)<<endl;
419 PrtTim(">>>> End Set BAD pixels to Zero etc...");
420
421 if(wfits) {
422 fluct3d.WriteFits("!cmvobserv3d_r.fits");
423 PrtTim(">>>> End WriteFits");
424 }
425 if(wppf) {
426 fluct3d.WritePPF("cmvobserv3d_r.ppf",true);
427 PrtTim(">>>> End WritePPF");
428 }
429
430 cout<<"\n--- Add noise to HI Flux snoise="<<snoise<<endl;
431 fluct3d.AddNoise2Real(snoise);
432 nm = fluct3d.MeanSigma2(rm,rs2);
433 cout<<"HI mass with noise: ("<<nm<<") Mean = "<<rm<<", Sigma^2 = "
434 <<rs2<<" -> "<<sqrt(rs2)<<endl;
435 PrtTim(">>>> End Add noise");
436
437 //-----------------------------------------------------------------
438 // -- NE PAS FAIRE CA SI ON VEUT CONTINUER LA SIMULATION -> d_rho/rho ecrase
439
440 if(1) {
441 cout<<endl<<"\n--- ReComputing spectrum from real space"<<endl;
442 fluct3d.ReComputeFourier();
443 PrtTim(">>>> End ReComputing spectrum");
444 }
445
446 if(wfits) {
447 fluct3d.WriteFits("!cmvobserv3d_k.fits");
448 PrtTim(">>>> End WriteFits");
449 }
450 if(wppf) {
451 fluct3d.WritePPF("cmvobserv3d_k.ppf",false);
452 PrtTim(">>>> End WritePPF");
453 }
454
455 if(1) {
456 cout<<endl<<"\n--- Computing final spectrum"<<endl;
457 HistoErr hpkrec(0.,knyqmax,nherr);
458 hpkrec.ReCenterBin();
459 hpkrec.Show();
460 fluct3d.ComputeSpectrum(hpkrec);
461 tagobs = "hpkrec"; posobs.PutObject(hpkrec,tagobs);
462 PrtTim(">>>> End Computing final spectrum");
463 }
464
465 if(comp2dspec) {
466 cout<<"\n--- Computing final 2D spectrum"<<endl;
467 Histo2DErr hpkrec2(0.,ktnyqmax,nherrt,0.,kznyqmax,nherrz);
468 hpkrec2.ReCenterBin(); hpkrec2.Zero();
469 hpkrec2.Show();
470 fluct3d.ComputeSpectrum2D(hpkrec2);
471 {
472 tagobs = "hpkrec2"; posobs.PutObject(hpkrec2,tagobs);
473 }
474 PrtTim(">>>> End Computing final 2D spectrum");
475 }
476
477 PrtTim(">>>> End Of Job");
478 return 0;
479}
480
481/*
482######################################################
483readfits cmvobserv3d_k0.fits
484readfits cmvobserv3d_k.fits
485readfits cmvobserv3d_r0.fits
486readfits cmvobserv3d_r.fits
487
488openppf cmvobserv3d_k0.ppf
489openppf cmvobserv3d_k.ppf
490openppf cmvobserv3d_r0.ppf
491openppf cmvobserv3d_r.ppf
492
493# pour le plot 2D d'une slice en Z du 3D: to2d nom_obj3D num_slice
494defscript to2d
495 objaoper $1 sliceyz $2
496 mv sliceyz_${2} ${1}_$2
497 disp ${1}_$2
498 echo display slice $2 of $1
499endscript
500
501to2d $cobj 0
502
503######################################################
504openppf cmvobserv3d.ppf
505
506zone
507set k pow(10.,x)
508n/plot hpkz.val*$k*$k/(2*M_PI*M_PI)%x ! "connectpoints"
509
510zone
511n/plot hpkz.val%x ! ! "nsta connectpoints"
512n/plot hpkgen.val%log10(x) x>0 ! "nsta same red connectpoints"
513n/plot hpkgenf.val%log10(x) x>0 ! "nsta same orange connectpoints"
514n/plot hpkrec.val%log10(x) x>0 ! "nsta same blue connectpoints"
515
516disp hpkgen "hbincont err"
517disp hpkgenf "hbincont err"
518disp hpkrec "hbincont err"
519
520zone 2 2
521imag hpkgen2
522imag hpkgenf2
523imag hpkrec2
524
525zone 2 1
526disp hmdndm "nsta"
527disp tirhmdndm "nsta"
528addline 0 1 20 1 "red"
529
530 */
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