-
Notifications
You must be signed in to change notification settings - Fork 3
/
baoerr.py
2396 lines (2223 loc) · 87 KB
/
baoerr.py
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
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
from math import *
from numpy import loadtxt as load
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import rc
from matplotlib.backends.backend_pdf import PdfPages
from matplotlib import rcParams
diro = '/Users/ashleyross/DESY1/'
def baoerr(zmin,zmax,sigz,area,num,bias,recon_fac=1.,sig8=0.8,dampz='y',keff=.15,cosm='WMAP3'):
#based on Seo & Eisenstein 2007
from Cosmo import distance
from numpy import ones
wo = False
if num < 1:
fo = open(diro+'Fmufiles/FdaHvsmu_z'+str(zmin)+str(zmax)+'_zerr'+str(sigz)+'_10e3n'+str(10**3.*num)+'_b'+str(bias)+dampz+'.dat','w')
wo = True
#Pbao_list = [ 9.034, 14.52, 12.63, 9.481, 7.409, 6.397, 5.688, 4.804, 3.841, 3.108,
#2.707, 2.503, 2.300, 2.014, 1.707, 1.473, 1.338, 1.259, 1.174, 1.061,
#0.9409, 0.8435, 0.7792, 0.7351, 0.6915, 0.6398, 0.5851, 0.5376, 0.5018, 0.4741,
#0.4484, 0.4210, 0.3929, 0.3671, 0.3456, 0.3276, 0.3112, 0.2950, 0.2788, 0.2635,
#0.2499, 0.2379, 0.2270, 0.2165, 0.2062, 0.1965, 0.1876, 0.1794, 0.1718, 0.1646]
Pbao_list = [14.10, 20.19, 16.17, 11.49, 8.853, 7.641, 6.631, 5.352, 4.146, 3.384, 3.028, 2.799, 2.479, 2.082, 1.749, 1.551, 1.446, 1.349, 1.214, 1.065, 0.9455, 0.8686, 0.8163, 0.7630, 0.6995, 0.6351, 0.5821, 0.5433, 0.5120, 0.4808, 0.4477, 0.4156, 0.3880, 0.3655, 0.3458, 0.3267, 0.3076, 0.2896, 0.2734, 0.2593, 0.2464, 0.2342, 0.2224, 0.2112, 0.2010, 0.1916, 0.1830, 0.1748, 0.1670, 0.1596]
if cosm == 'Planck':
BAO_POWER = 0.18961E+04 # /* The power spectrum at k=0.2h Mpc^-1 for sigma8=0.8 and Planck cosmo */
BAO_SILK = 7.50#based on footnote in Seo & Eisenstein and 2015 Plik from Table 1 of Planck 2015 cosmo paper
BAO_AMP = 0.39 #approximate, check this
om = 0.31
if cosm == 'WMAP3': #as given in Seo & Eisenstein 2007
BAO_POWER = 0.17410E+04 #from the WMAP3_matterpower.dat file
BAO_SILK = 8.38
BAO_AMP = 0.5817
om = 0.24
d = distance(om,1.-om)
mustep = 0.01
KSTEP = .01
fsky = area/(360*360./pi)
dtot = 0
neff = 0
kl = []
keffl = []
for i in range(0,len(Pbao_list)):
k=0.5*KSTEP+KSTEP*i
kl.append(k)
keffl.append(0)
z = (zmax+zmin)/2.
#print z
z1 = zmin
z2 = zmax
dr = d.dc(z2)-d.dc(z1)
volume= 4./3.*pi*fsky*(d.dc(z2)**3.-d.dc(z1)**3.)
if num > 1:
num = num/volume
print(num)
if dampz == 'n':
sigzdampl = ones((len(Pbao_list)))
else:
sigzdampl = BAOdampsigz(z,sigz)
Dg = d.D(z)
f = d.omz(z)**.557
#print f
beta = f/bias
#Sig0 = 12.4*sig8/0.9*Dg*.758*recon_fac
Sig0 = 9.4*sig8/.9*Dg*recon_fac
Sigma_perp = Sig0
Sigma_par = Sig0*(1.+f)
Sigma_perp2 = Sigma_perp*Sigma_perp
Sigma_par2 = Sigma_par*Sigma_par
# print Sigma_perp,Sigma_par
Sigma_z = d.cHz(z)*sigz*(1.+z)
Sigma_zb = Sigma_z/d.dc(z)*105. #percentage distance error multiplied by BAO scale
#print Sigma_zb
Sigma_z2 = Sigma_z*Sigma_z
#print Sigma_z2
sigma8 = bias*Dg
#print sigma8
power = sigma8*sigma8*BAO_POWER
#print power,sigma8**2.
nP = num*power
#print nP
Silk_list = []
for i in range(0,len(Pbao_list)):
k=0.5*KSTEP+KSTEP*i
Silk_list.append(exp(-2.0*pow(k*BAO_SILK,1.40))*k*k*sigzdampl[i]**2.)
mu = .5*mustep
sumt = 0
sumW1 = 0
sumW2 = 0
monosum = 0
Fdd = Fdh = Fhh = 0.0
while mu<1:
mu2 = mu*mu
redshift_distort = (1.+beta*mu2)*(1.+beta*mu2)
tmp = 1.0/(nP*redshift_distort)
Sigma2_tot = Sigma_perp2*(1.-mu2)+Sigma_par2*mu2#+Sigma_zb*Sigma_zb/2.
sum = 0
for i in range(0,len(Pbao_list)):
k=0.5*KSTEP+KSTEP*i
try:
tmpz = Pbao_list[i]+tmp*exp(k*k*Sigma_z2*mu2)
#print redshift_distort/exp(k*k*Sigma_z2*mu2)
Fmu = Silk_list[i]*exp(-k*k*Sigma2_tot)/tmpz/tmpz
sum += Fmu
keffl[i] += Fmu
except:
pass
#print k,mu
neff += exp(-1.*keff**2.*Sigma_z2*mu2)*num*mustep
if wo:
fo.write(str(mu)+' '+str(sum)+'\n')
Fdd += sum*(1.-mu2)*(1.-mu2)
Fdh += sum*(1.-mu2)*mu2
Fhh += sum*mu2*mu2
sumt += sum
monosum += 1./sum
if mu < 0.5:
sumW1 += sum
if mu > 0.5:
sumW2 += sum
mu += mustep
r = Fdh/sqrt(Fhh*Fdd)
Fdd *= BAO_AMP*BAO_AMP*KSTEP*mustep*volume
Fhh *= BAO_AMP*BAO_AMP*KSTEP*mustep*volume
sumt *= BAO_AMP*BAO_AMP*KSTEP*mustep*volume
Drms = 1.0/sqrt(Fdd*(1.0-(r)*(r)))
Hrms = 1.0/sqrt(Fhh*(1.0-(r)*(r)))
Rrms = (Drms)*sqrt((1-(r)*(r))/(1+(Drms)/(Hrms)*(2*(r)+(Drms)/(Hrms))))
#print Drms,Hrms,Rrms,r,z1,z2,volume,z
dtot = sumt
keff = 0
wkeff = 0
peff = 0
for i in range(0,len(keffl)):
keff += kl[i]*keffl[i]
wkeff += keffl[i]
peff += Pbao_list[i]*keffl[i]*BAO_POWER#*sigma8*sigma8
print(neff,keff/wkeff,peff/wkeff)
#print 'total BAO error '+str(sqrt(1.0/dtot))
return sqrt(1.0/dtot)
#return Drms,Hrms,Rrms,r,1./sqrt(sumt),sqrt(monosum),1./sqrt(sumW1),1./sqrt(sumW2)
def baoerr_input(zmin,zmax,sigz,area,num,bias,recon_fac=1.,sig8=0.8,dampz='y',keff=.15,cosm='WMAP3',kmax=.5):
#based on Seo & Eisenstein 2007
from Cosmo import distance
from numpy import ones
#Pbao_list = [ 9.034, 14.52, 12.63, 9.481, 7.409, 6.397, 5.688, 4.804, 3.841, 3.108,
#2.707, 2.503, 2.300, 2.014, 1.707, 1.473, 1.338, 1.259, 1.174, 1.061,
#0.9409, 0.8435, 0.7792, 0.7351, 0.6915, 0.6398, 0.5851, 0.5376, 0.5018, 0.4741,
#0.4484, 0.4210, 0.3929, 0.3671, 0.3456, 0.3276, 0.3112, 0.2950, 0.2788, 0.2635,
#0.2499, 0.2379, 0.2270, 0.2165, 0.2062, 0.1965, 0.1876, 0.1794, 0.1718, 0.1646]
#Pbao_list = [14.10, 20.19, 16.17, 11.49, 8.853, 7.641, 6.631, 5.352, 4.146, 3.384, 3.028, 2.799, 2.479, 2.082, 1.749, 1.551, 1.446, 1.349, 1.214, 1.065, 0.9455, 0.8686, 0.8163, 0.7630, 0.6995, 0.6351, 0.5821, 0.5433, 0.5120, 0.4808, 0.4477, 0.4156, 0.3880, 0.3655, 0.3458, 0.3267, 0.3076, 0.2896, 0.2734, 0.2593, 0.2464, 0.2342, 0.2224, 0.2112, 0.2010, 0.1916, 0.1830, 0.1748, 0.1670, 0.1596]
if cosm == 'Challenge':
BAO_POWER = 0.18961E+04 # /* The power spectrum at k=0.2h Mpc^-1 for sigma8=0.8 and Planck cosmo */
BAO_SILK = 7.50#based on footnote in Seo & Eisenstein and 2015 Plik from Table 1 of Planck 2015 cosmo paper
BAO_AMP = 0.39 #approximate, check this
om = 0.31
if cosm == 'WMAP3': #as given in Seo & Eisenstein 2007
BAO_POWER = 0.17410E+04 #from the WMAP3_matterpower.dat file
BAO_SILK = 8.38
BAO_AMP = 0.5817
om = 0.24
pf = load('powerspectra/'+cosm+'_matterpower.dat').transpose()
kl = pf[0]
k0 = kl[0]
k1 = kl[1]
ldk = log(k1)-log(k0)
Pbao_list = pf[1]/BAO_POWER
d = distance(om,1.-om)
mustep = 0.01
fsky = area/(360*360./pi)
dtot = 0
neff = 0
z = (zmax+zmin)/2.
print(z)
z1 = zmin
z2 = zmax
dr = d.dc(z2)-d.dc(z1)
volume= 4./3.*pi*fsky*(d.dc(z2)**3.-d.dc(z1)**3.)
if num > 1:
num = num/volume
print(num)
if dampz == 'n':
sigzdampl = ones((len(Pbao_list)))
else:
sigzdampl = BAOdampsigz(z,sigz)
Dg = d.D(z)
f = d.omz(z)**.557
#print f
beta = f/bias
#Sig0 = 12.4*sig8/0.9*Dg*.758*recon_fac
Sig0 = 9.4*sig8/.9*Dg*recon_fac
Sigma_perp = Sig0
Sigma_par = Sig0*(1.+f)
Sigma_perp2 = Sigma_perp*Sigma_perp
Sigma_par2 = Sigma_par*Sigma_par
# print Sigma_perp,Sigma_par
Sigma_z = d.cHz(z)*sigz
Sigma_zb = Sigma_z/d.dc(z)*105. #percentage distance error multiplied by BAO scale
#print Sigma_zb
Sigma_z2 = Sigma_z*Sigma_z
print(Sigma_z2)
sigma8 = bias*Dg
#print sigma8
power = sigma8*sigma8*BAO_POWER
#print power,sigma8**2.
nP = num*power
print(nP)
Silk_list = []
for i in range(0,len(Pbao_list)):
k=kl[i]
Silk_list.append(exp(-2.0*pow(k*BAO_SILK,1.40))*k*k*sigzdampl[i]**2.)
mu = .5*mustep
sumt = 0
sumW1 = 0
sumW2 = 0
monosum = 0
Fdd = Fdh = Fhh = 0.0
while mu<1:
mu2 = mu*mu
redshift_distort = (1.+beta*mu2)*(1.+beta*mu2)
tmp = 1.0/(nP*redshift_distort)
Sigma2_tot = Sigma_perp2*(1.-mu2)+Sigma_par2*mu2#+Sigma_zb*Sigma_zb/2.
sum = 0
for i in range(0,len(Pbao_list)):
k=kl[i]
try:
tmpz = Pbao_list[i]+tmp*exp(k*k*Sigma_z2*mu2)
#print redshift_distort/exp(k*k*Sigma_z2*mu2)
Fmu = Silk_list[i]*exp(-k*k*Sigma2_tot)/tmpz/tmpz
sum += Fmu*k*ldk
keffl[i] += Fmu
except:
pass
#print k,mu
neff += exp(-1.*keff**2.*Sigma_z2*mu2)*num*mustep
Fdd += sum*(1.-mu2)*(1.-mu2)
Fdh += sum*(1.-mu2)*mu2
Fhh += sum*mu2*mu2
sumt += sum
mu += mustep
r = Fdh/sqrt(Fhh*Fdd)
Fdd *= BAO_AMP*BAO_AMP*mustep*volume
Fhh *= BAO_AMP*BAO_AMP*mustep*volume
sumt *= BAO_AMP*BAO_AMP*mustep*volume
Drms = 1.0/sqrt(Fdd*(1.0-(r)*(r)))
Hrms = 1.0/sqrt(Fhh*(1.0-(r)*(r)))
Rrms = (Drms)*sqrt((1-(r)*(r))/(1+(Drms)/(Hrms)*(2*(r)+(Drms)/(Hrms))))
print(Drms,Hrms,Rrms,r,z1,z2,volume,z)
dtot = sumt
#print 'total BAO error '+str(sqrt(1.0/dtot))
return sqrt(1.0/dtot)
#return Drms,Hrms,Rrms,r,1./sqrt(sumt),sqrt(monosum),1./sqrt(sumW1),1./sqrt(sumW2)
def baoerr_full(zmin,zmax,sigz,area,num,bias,recon_fac=1.,sig8=0.8,vis='n',dampz='y',keff=.15,cosm='Challenge',kmin=0,kmax=.5):
#based on Seo & Eisenstein 2007, but using input linear power spectrum as the signal
#inputs are stored in the powerspectra folder; Challenge is the fiducial BOSS DR12 power spectrum and MICE is the MICE one
from Cosmo import distance
from numpy import ones
from EH import simulate
#fo = open('Fmufiles/FdaHvsmu_z'+str(zmin)+str(zmax)+'_zerr'+str(sigz)+'_10e3n'+str(10**3.*num)+'_b'+str(bias)+dampz+'.dat','w')
pf = load('powerspectra/'+cosm+'_matterpower.dat').transpose()
k_list = pf[0]
P_list = pf[1]
if cosm == 'Challenge':
om = 0.31
lam = 0.69
h = .676
nindex = .963
ombhh = .022
if cosm == 'MICE':
om = 0.25
lam = .75
h = .7
ombhh = .044*0.7*.7
nindex = .949
if cosm == 'WMAP3':
om = 0.24
lam = .76
h = .73
ombhh = .0223
nindex = .949
s = simulate(omega=om,lamda=lam,h=h,nindex=nindex,ombhh=ombhh)
BAO_list = []
for i in range(0,len(k_list)):
k = k_list[i]
dpk = P_list[i]-s.Psmooth(k,0)
BAO_list.append(dpk)
if vis == 'y':
from matplotlib import pyplot as plt
plt.plot(k_list,BAO_list)
plt.xlim(kmin,kmax)
plt.show()
BAO_list = np.array(BAO_list)
d = distance(om,1.-om)
mustep = 0.01
fsky = area/(360*360./pi)
dtot = 0
neff = 0
keffl = np.zeros((len(k_list)))
z = (zmax+zmin)/2.
print(z)
z1 = zmin
z2 = zmax
#sigzdampl = BAOdampsigz(z,sigz)
volume= 4./3.*pi*fsky*(d.dc(z2)**3.-d.dc(z1)**3.)
#if dampz == 'n':
# sigzdampl = ones((len(Pbao_list)))
Dg = d.D(z)
f = d.omz(z)**.557
beta = f/bias
#Sig0 = 12.4*sig8/0.9*Dg*.758*recon_fac
Sig0 = 9.4*sig8/.9*Dg*recon_fac
Sigma_perp = Sig0
Sigma_par = Sig0*(1.+f)
print(Sigma_perp,Sigma_par)
Sigma_perp2 = Sigma_perp*Sigma_perp
Sigma_par2 = Sigma_par*Sigma_par
Sigma_z = d.cHz(z)*sigz
Sigma_z2 = Sigma_z*Sigma_z
print(Sigma_z2)
Pkamp = bias*Dg
power = Pkamp*Pkamp
BAO_list = BAO_list*power
P_list = P_list*power
nP_list = num*P_list
for i in range(0,len(nP_list)):
if k_list[i] > .2:
print(nP_list[i])
break
k0 = k_list[0]
k1 = k_list[1]
ldk = log(k1)-log(k0)
dBAOdlk = []
for i in range(0,len(BAO_list)-1):
k=(k_list[i]+k_list[i+1])/2.
dsigdlk = (BAO_list[i]-BAO_list[i+1])/ldk
dBAOdlk.append(dsigdlk)
mu = .5*mustep
sumt = 0
sumW1 = 0
sumW2 = 0
monosum = 0
Fdd = Fdh = Fhh = 0.0
while mu<1:
mu2 = mu*mu
redshift_distort = (1.+beta*mu2)*(1.+beta*mu2)
#redshift_distort = 1.
Sigma2_tot = Sigma_perp2*(1.-mu2)+Sigma_par2*mu2#+Sigma_zb*Sigma_zb/2.
sum = 0
for i in range(0,len(BAO_list)-1):
k=(k_list[i]+k_list[i+1])/2.
if k > kmin and k < kmax:
Rmu = redshift_distort*exp(-1.*k*k*Sigma_z2*mu2)
#Rmup = redshift_distort*exp(-1.*k_list[i+1]*k_list[i+1]*Sigma_z2*mu2)
#dk = ldk*k
dk = k_list[i+1]-k_list[i]
kvol = dk*k*k/(4.*pi**2.)
#sig = BAO_list[i]*Rmu*exp(-.5*k*k*Sigma2_tot)
#dsigdlk = (sig-BAO_list[i+1]*Rmup*exp(-.5*k_list[i+1]*k_list[i+1]*Sigma2_tot))/ldk
damp = exp(-k*k*Sigma2_tot)
#dsigdlk = dBAOdlk[i]*Rmu*damp
P = (P_list[i]+P_list[i+1])/2.
#noiseV = (P*Rmu+1./num)#/kvol
#Fmu = (sig/noiseV)**2.*kvol
#Fmu = (dsigdlk/noiseV)**2.*kvol
Fmu = (dBAOdlk[i]/(P+1./(num*Rmu)))**2.*kvol*damp
sum += Fmu
keffl[i] += Fmu
neff += exp(-1.*keff**2.*Sigma_z2*mu2)*num*mustep
# fo.write(str(mu)+' '+str(sum)+'\n')
Fdd += sum*(1.-mu2)*(1.-mu2)
Fdh += sum*(1.-mu2)*mu2
Fhh += sum*mu2*mu2
sumt += sum
monosum += 1./sum
if mu < 0.5:
sumW1 += sum
if mu > 0.5:
sumW2 += sum
mu += mustep
r = Fdh/sqrt(Fhh*Fdd)
Fdd *= mustep*volume
Fhh *= mustep*volume
sumt *= mustep*volume
print(sqrt(sumt))
Drms = 1.0/sqrt(Fdd*(1.0-(r)*(r)))
Hrms = 1.0/sqrt(Fhh*(1.0-(r)*(r)))
Rrms = (Drms)*sqrt((1-(r)*(r))/(1+(Drms)/(Hrms)*(2*(r)+(Drms)/(Hrms))))
print(Drms,Hrms,Rrms,r,z1,z2,volume,z)
dtot = sumt
keff = 0
wkeff = 0
for i in range(0,len(keffl)):
k = k_list[i]
if k > kmin and k < kmax:
keff += k_list[i]*keffl[i]
wkeff += keffl[i]
print(neff,keff/wkeff)
#print 'total BAO error '+str(sqrt(1.0/dtot))
return sqrt(1.0/dtot)
def baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=1.,sig8=0.8,vis='n',dampz='y',keff=.15,cosm='Challenge',kmin=.02,kmax=.5):
#based on Seo & Eisenstein 2007, but using input linear power spectrum as the signal
#inputs are stored in the powerspectra folder; Challenge is the fiducial BOSS DR12 power spectrum and MICE is the MICE one
#takes list zl of redshift, nl of number density, and bl of bias
from Cosmo import distance
from numpy import ones
from EH import simulate
#fo = open('Fmufiles/FdaHvsmu_z'+str(zmin)+str(zmax)+'_zerr'+str(sigz)+'_10e3n'+str(10**3.*num)+'_b'+str(bias)+dampz+'.dat','w')
pf = load('powerspectra/'+cosm+'_matterpower.dat').transpose()
k_list = pf[0]
P_list = pf[1]
if cosm == 'Challenge':
om = 0.31
lam = 0.69
h = .676
nindex = .963
ombhh = .022
if cosm == 'MICE':
om = 0.25
lam = .75
h = .7
ombhh = .044*0.7*.7
nindex = .949
if cosm == 'WMAP3':
om = 0.24
lam = .76
h = .73
ombhh = .0223
nindex = .949
s = simulate(omega=om,lamda=lam,h=h,nindex=nindex,ombhh=ombhh)
BAO_list = []
for i in range(0,len(k_list)):
k = k_list[i]
dpk = P_list[i]-s.Psmooth(k,0)
BAO_list.append(dpk)
if vis == 'y':
from matplotlib import pyplot as plt
plt.plot(k_list,BAO_list)
plt.xlim(kmin,kmax)
plt.show()
BAO_list = np.array(BAO_list)
d = distance(om,1.-om)
mustep = 0.01
fsky = area/(360*360./pi)
dtot = 0
neff = 0
keffl = np.zeros((len(k_list)))
dz = zl[1]-zl[0]
k0 = k_list[0]
k1 = k_list[1]
ldk = log(k1)-log(k0)
sumt = 0
sumW1 = 0
sumW2 = 0
monosum = 0
Fdd = Fdh = Fhh = 0.0
for i in range(0,len(zl)):
z = zl[i]
bias = bl[i]
num = nl[i]
sumz = 0
z1 = z-dz/2.
z2 = z+dz/2.
volume= 4./3.*pi*fsky*(d.dc(z2)**3.-d.dc(z1)**3.)
Dg = d.D(z)
f = d.omz(z)**.557
beta = f/bias
Sig0 = 10.4*sig8*Dg*recon_fac
Sigma_perp = Sig0
Sigma_par = Sig0*(1.+f)
Sigma_perp2 = Sigma_perp*Sigma_perp
Sigma_par2 = Sigma_par*Sigma_par
Sigma_z = d.cHz(z)*sigz
Sigma_z2 = Sigma_z*Sigma_z
Pkamp = bias*Dg
power = Pkamp*Pkamp
BAO_listb = BAO_list*power
P_listb = P_list*power
nP_listb = num*P_listb
for indk in range(0,len(k_list)):
if k_list[indk] > .2:
nP2 = nP_listb[indk]
P2 = P_listb[indk]
break
mu = .5*mustep
while mu<1:
mu2 = mu*mu
redshift_distort = (1.+beta*mu2)*(1.+beta*mu2)
#redshift_distort = 1.
Sigma2_tot = Sigma_perp2*(1.-mu2)+Sigma_par2*mu2#+Sigma_zb*Sigma_zb/2.
sum = 0
for i in range(0,len(BAO_list)):
k=k_list[i]
if k > kmin and k < kmax:
Rmu = redshift_distort*exp(-1.*k*k*Sigma_z2*mu2)
Rmup = redshift_distort*exp(-1.*k_list[i+1]*k_list[i+1]*Sigma_z2*mu2)
dk = ldk*k
kvol = dk*k*k/(4.*pi**2.)
sig = BAO_listb[i]*Rmu*exp(-.5*k*k*Sigma2_tot)
dsigdlk = (sig-BAO_listb[i+1]*Rmup*exp(-.5*k_list[i+1]*k_list[i+1]*Sigma2_tot))/ldk
noiseV = (P_listb[i]*Rmu+1./num)#/kvol
#Fmu = (sig/noiseV)**2.*kvol
Fmu = (dsigdlk/noiseV)**2.*kvol
sum += Fmu
Fdd += sum*(1.-mu2)*(1.-mu2)*volume
Fdh += sum*(1.-mu2)*mu2*volume
Fhh += sum*mu2*mu2*volume
sumt += sum*volume
sumz += sum*volume*mustep
mu += mustep
print(z,bias,num,sqrt(1./sumz),nP2,P2)
Fdd *= mustep
Fdh *= mustep
Fhh *= mustep
sumt *= mustep
r = Fdh/sqrt(Fhh*Fdd)
print(sqrt(sumt))
Drms = 1.0/sqrt(Fdd*(1.0-(r)*(r)))
Hrms = 1.0/sqrt(Fhh*(1.0-(r)*(r)))
Rrms = (Drms)*sqrt((1-(r)*(r))/(1+(Drms)/(Hrms)*(2*(r)+(Drms)/(Hrms))))
print(Drms,Hrms,Rrms,r,z1,z2,volume,z)
dtot = sumt
return sqrt(1.0/dtot)
def baoerr_fullboss(zmin,zmax,b0=1.5,recon_fac=.5,cosm='Challenge',kmin=.02,kmax=.5):
from Cosmo import distance
d = load('/Users/ashleyross/DR12/nbar-cmasslowz-dr12v4-N-Reid-om0p31.dat').transpose()
if cosm == 'Challenge':
dd = distance(.31,.69)
if cosm == 'WMAP3':
dd = distance(.24,.76)
zl = []
nl = []
bl = []
for i in range(0,len(d[0])):
z = d[0][i]
if z > zmin and z < zmax:
zl.append(z)
nl.append(d[3][i])
bl.append(b0/dd.D(z))
# nz = 2
# dz = (zmax-zmin)/float(nz)
# for i in range(0,nz):
# z = zmin+dz/2.+i*dz
# zl.append(z)
# nl.append(2.5e-4)
# bl.append(b0/dd.D(z))
sigz = 0.001
area = 9500.
return baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,keff=.15,cosm=cosm,kmin=kmin,kmax=kmax)
def baoerr_fullHaloSQ(recon_fac=1.,cosm='WMAP3',kmin=.02,kmax=.5,dampz='n'):
from Cosmo import distance
zl = [0.625,0.675,0.725,0.775,0.825,0.875,0.925,0.975]
nl = [0.0016,0.0016,0.0014,0.0012,0.00115,0.0011,0.00095,0.0006]
bl = [1.65,1.7,1.75,1.8,1.85,1.9,1.95,2.2]
sigz = 0.029
area = 1779.
rtot = 0
for i in range(0,len(zl)):
err = baoerr(zl[i]-.025,zl[i]+.025,sigz,area,nl[i],bl[i],recon_fac=1.,sig8=0.8,dampz=dampz,keff=.12,cosm=cosm)
rtot += 1/err**2.
return sqrt(1/rtot)
#return baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,keff=.12,cosm=cosm,kmin=kmin,kmax=kmax)
def baoerr_fullHaloY1(recon_fac=1.,cosm='WMAP3',kmin=.02,kmax=.5,dampz='n'):
from Cosmo import distance
#if cosm == 'MICE':
# dd = distance(.25,.75)
#if cosm == 'WMAP3':
# dd = distance(.24,.76)
zl = [0.625,0.675,0.725,0.775,0.825,0.875,0.925,0.975]
nl = [0.0015,0.0017,0.0016,0.0014,0.0013,0.00093,0.00068,0.00049]
bl = [1.8,1.7,1.6,1.55,1.6,1.7,1.9,2.2]
sigzl =[0.03,0.03,0.029,0.029,0.03,0.035,0.041,0.049]
area = 1420.
rtot = 0
for i in range(0,len(zl)):
err = baoerr(zl[i]-.025,zl[i]+.025,sigzl[i],area,nl[i],bl[i],recon_fac=1.,sig8=0.8,dampz=dampz,keff=.12,cosm=cosm)
rtot += 1/err**2.
return sqrt(1/rtot)
#return baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,keff=.12,cosm=cosm,kmin=kmin,kmax=kmax)
def baoerr_fullqso(zmin,zmax,b0=1.5,recon_fac=1.,cosm='Challenge',kmin=.02,kmax=.5):
from Cosmo import distance
d = load('/Users/ashleyross/eboss/nbar-eboss_v1.9f-QSO-N-eboss_v1.9f.dat').transpose()
#d = load('/Users/ashleyross/eboss/nbarQSOzhaoforecast.dat').transpose()
zl = []
nl = []
bl = []
for i in range(0,len(d[0])):
z = d[0][i]
if z > zmin and z < zmax:
zl.append(z)
nl.append(d[3][i])
#nl.append(d[1][i])
bl.append(.53+.29*(1.+z)**2.)
sigz = 0.001
area = 7500.
return baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
def baoerr_fullELG(zmin=.6,zmax=1.1,b0=1.,recon_fac=.5,cosm='Challenge',kmin=.02,kmax=.5):
from Cosmo import distance
if cosm == 'Challenge':
dd = distance(.31,.69)
if cosm == 'WMAP3':
dd = distance(.24,.76)
#d = load('/Users/ashleyross/eboss/nbar-eboss_v1.9f-QSO-N-eboss_v1.9f.dat').transpose()
#d = load('/Users/ashleyross/eboss/nbarQSOzhaoforecast.dat').transpose()
dz = .1
sigz = 0.001
z = .65
zl = []
nl = []
bl = []
dlong = [.656e-4,3.588e-4,3.578e-4,1.468e-4,0.635e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dlong[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 620.
siglong = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
print('sigma BAO SGC long is '+str(siglong))
z = .65
zl = []
nl = []
bl = []
dnom = [.69e-4,3.404e-4,3.272e-4,1.464e-4,0.557e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dnom[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 620.
signom = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
print('sigma BAO SGC nominal is '+str(signom))
z = .65
zl = []
nl = []
bl = []
dngc = [.729e-4,2.623e-4,2.639e-4,1.204e-4,0.471e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dngc[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 740.
signgc = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
print('sigma BAO NGC is '+str(signgc))
sigtnom = sqrt(1./(1/signom**2.+1/signgc**2.))
sigtlong = sqrt(1./(1/siglong**2.+1/signgc**2.))
print('sigma BAO nomtot '+str(sigtnom))
print('sigma BAO longtot '+str(sigtlong))
z = .65
zl = []
nl = []
bl = []
dlow = [.183e-4,1.908e-4,2.673e-4,1.135e-4,0.373e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dlow[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 1400.
siglow = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
print('sigma BAO low is '+str(siglow))
z = .65
zl = []
nl = []
bl = []
dhigh = [.205e-4,2.068e-4,3.034e-4,1.605e-4,0.568e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dhigh[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 1100.
sighigh = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
print('sigma BAO high is '+str(sighigh))
return True
def baoerr_ELGY1(zmin=.6,zmax=1.1,b0=1.,recon_fac=.5,cosm='Challenge',kmin=.02,kmax=.5):
from Cosmo import distance
if cosm == 'Challenge':
dd = distance(.31,.69)
if cosm == 'WMAP3':
dd = distance(.24,.76)
dz = .1
sigz = 0.001
z = .65
zl = []
nl = []
bl = []
dlong = [.60e-4,3.9e-4,3.6e-4,1.3e-4,0.52e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dlong[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 489.5
sigrec = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
signorec = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=1,cosm=cosm,kmin=kmin,kmax=kmax)
print(sigrec,signorec)
return True
def baoerr_LRGDR14(zmin=.6,zmax=1.,b0=1.7,recon_fac=.5,cosm='Challenge',kmin=.02,kmax=.5):
from Cosmo import distance
if cosm == 'Challenge':
dd = distance(.31,.69)
if cosm == 'WMAP3':
dd = distance(.24,.76)
dz = .1
sigz = 0.001
z = .65
zl = []
nl = []
bl = []
dlong = [2.1e-4,1.1e-4,.5e-4,.02e-4]
i = 0
while z < zmax:
if z > zmin:
zl.append(z)
nl.append(dlong[i])
bl.append(b0/dd.D(z))
i += 1
z += dz
area = 1844.
sigrec = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=recon_fac,cosm=cosm,kmin=kmin,kmax=kmax)
signorec = baoerr_fullnz(zl,nl,bl,sigz,area,recon_fac=1,cosm=cosm,kmin=kmin,kmax=kmax)
print(sigrec,signorec)
return True
def plot2BAO(kmin=.02,kmax=.3):
from EH import simulate
cosm = 'Challenge'
pf = load('powerspectra/'+cosm+'_matterpower.dat').transpose()
k_list = pf[0]
P_list = pf[1]
om = 0.31
lam = 0.69
h = .676
nindex = .963
ombhh = .022
s = simulate(omega=om,lamda=lam,h=h,nindex=nindex,ombhh=ombhh)
cosm = 'WMAP3'
pf = load('powerspectra/'+cosm+'_matterpower.dat').transpose()
k_list2 = pf[0]
P_list2 = pf[1]
om = 0.24
lam = .76
h = .73
ombhh = .0223
nindex = .949
s2 = simulate(omega=om,lamda=lam,h=h,nindex=nindex,ombhh=ombhh)
BAO_list = []
for i in range(0,len(k_list)):
k = k_list[i]
dpk = P_list[i]-s.Psmooth(k,0)
BAO_list.append(dpk)
BAO_list2 = []
for i in range(0,len(k_list2)):
k = k_list2[i]
dpk = P_list2[i]-s2.Psmooth(k,0)
BAO_list2.append(dpk)
from matplotlib import pyplot as plt
plt.plot(k_list,BAO_list*k_list**2.,'r-')
plt.plot(k_list2,BAO_list2*k_list2**2.,'b-')
plt.xlim(kmin,kmax)
plt.show()
return True
def errvsig(num,sigmin=.01,sigmax=.06,sigstep=.001,zmin=.75,zmax=.85,bias=1.8,dampz='y'):
fo = open('Fmufiles/errvsig'+str(zmin)+str(zmax)+'_10e3n'+str(10**3.*num)+'_b'+str(bias)+dampz+'.dat','w')
nsig = int((sigmax+sigstep*.01-sigmin)/sigstep)
for i in range(0,nsig):
sigz = sigmin+i*sigstep+sigstep/2.
err = baoerr(zmin,zmax,sigz,1400.,num,bias,dampz=dampz)
fo.write(str(sigz)+' '+str(1./err**2.)+' '+str(err)+'\n')
fo.close()
return True
def errvsigweight(num1,num2,sig1,sig2,wstep=0.01,wmin=0,wmax=1,zmin=.75,zmax=.85,bias=1.8,dampz='n'):
nsig = int((wmax+wstep*.01-wmin)/wstep)
emin = 100
err1 = baoerr(zmin,zmax,sig1,1400.,num1,bias,dampz=dampz)
err2 = baoerr(zmin,zmax,sig2,1400.,num2,bias,dampz=dampz)
errt = baoerr(zmin,zmax,(sig1*num1+sig2*num2)/(num1+num2),1400.,num2+num1,bias,dampz=dampz)
for i in range(0,nsig):
w1 = wstep*i+wstep/2.
w2 = ((num1+num2)-num1*w1)/num2
#if w1+w2 != 2:
# print w1 + w2
# return 'weights do not sum to 2'
numt = num1+num2
numw = numt*(num1+num2)/(w1**2.*num1+w2**2.*num2)
#numw = numt/(w1+w2)
sigz = (w1*sig1*num1+w2*sig2*num2)/(w1*num1+w2*num2)
err = baoerr(zmin,zmax,sigz,1400.,numw,bias,dampz=dampz)
print(w1,err,w1+w2,w2,numt,numw,sigz)
if err < emin:
emin = err
wmin = (w1,w2)
print(wmin)
print(err1,err2,emin/err1,emin/err2,emin/errt)
return (emin/errt,emin/err1,emin/err2)
def errvsigweight_alt(num1,num2,sig1,sig2,wstep=0.01,wmin=0,wmax=1,zmin=.75,zmax=.85,bias=1.8,dampz='n'):
nsig = int((wmax+wstep*.01-wmin)/wstep)
emin = 100
err1 = baoerr(zmin,zmax,sig1,1400.,num1,bias,dampz=dampz)
emin = err1
wmin = (1,0)
err2 = baoerr(zmin,zmax,sig2,1400.,num2,bias,dampz=dampz)
if err2 < emin:
emin = err2
wmin = (0,1)
errt = baoerr(zmin,zmax,(sig1*num1+sig2*num2)/(num1+num2),1400.,num2+num1,bias,dampz=dampz)
if errt < emin:
emin = errt
wmin = (1,1)
for i in range(0,nsig):
w1 = wstep*i+wstep/2.
w2 = 1.
#if w1+w2 != 2:
# print w1 + w2
# return 'weights do not sum to 2'
numt = num1+num2
numw = num1*w1+num2*w2
#numw = numt/(w1+w2)
sigz = (w1*sig1*num1+w2*sig2*num2)/(w1*num1+w2*num2)
err = baoerr(zmin,zmax,sigz,1400.,numw,bias,dampz=dampz)
print(w1,err,err1,err2,errt,w1+w2,w2,numt,numw,sigz)
if err < emin:
emin = err
wmin = (w1,w2)
for i in range(0,nsig):
w1 = 1.
w2 = wstep*i+wstep/2.
#if w1+w2 != 2:
# print w1 + w2
# return 'weights do not sum to 2'
numt = num1+num2
numw = num1*w1+num2*w2
#numw = numt/(w1+w2)
sigz = (w1*sig1*num1+w2*sig2*num2)/(w1*num1+w2*num2)
err = baoerr(zmin,zmax,sigz,1400.,numw,bias,dampz=dampz)
print(w1,err,err1,err2,errt,w1+w2,w2,numt,numw,sigz)
if err < emin:
emin = err
wmin = (w1,w2)
print(wmin)
print(err1,err2,emin/err1,emin/err2,emin/errt)
return (emin/errt,emin/err1,emin/err2)
def mkgfvssigz(sig2=0.03,num1=1.e-3,num2=1.e-3):
emax = 0.06
de = 0.001
sig1 = sig2+de
fo = open(diro+'gBAOwsigzvssigz'+str(sig2)+str(1000*num1)+str(1000*num2)+'.dat','w')
while sig1 < emax:
eb = max(errvsigweight(num1,num2,sig1,sig2))
fo.write(str(sig2/sig1)+' '+str(eb)+'\n')
sig1 += de
print(sig1,eb)
fo.close()
return True
def plotgfwBAO():
rcParams['font.family'] = 'serif'
plt.rc('text', usetex=True)
plt.rc('font', family='serif', size=14)
pp = PdfPages(diro+'gwfBAO.pdf')
plt.clf()
plt.minorticks_on()
plt.xlabel(r'$\sigma_{z1}/\sigma_{z2}$',size=16)
plt.ylabel(r'Percentage Gain in BAO Precision',size=16)
d = load(diro+'gBAOwsigzvssigz0.031.01.0.dat').transpose()
plt.plot(1./d[0],(1.-d[1])*100.,'k-')
plt.text(1.05,2.5,r'$n_{1,2} = 10^{-3}h^3$Mpc$^3$',color='k')
#d = load(diro+'gBAOwsigzvssigz0.021.01.0.dat').transpose()
#plt.plot(1./d[0],1.-d[1],'r-')
d = load(diro+'gBAOwsigzvssigz0.0310.01.0.dat').transpose()
plt.plot(1./d[0],(1.-d[1])*100.,'b-')
plt.text(1.05,2.3,r'$n_{2} = 10^{-2}h^3$Mpc$^3$',color='b')
#d = load(diro+'gBAOwsigzvssigz0.021.00.1.dat').transpose()
#plt.plot(1./d[0],1.-d[1],'g-')
d = load(diro+'gBAOwsigzvssigz0.031.00.1.dat').transpose()
plt.plot(1./d[0],(1.-d[1])*100.,'r-')
plt.text(1.05,2.1,r'$n_{1} = 10^{-4}h^3$Mpc$^3$',color='r')
plt.ylim(0,3)
cnr = [(1.02,1.39),(2.05,2.7)]
plotbox(cnr)
pp.savefig()
pp.close()
return True
def ploterrvsig(pr=1.4,b=.05):
import matplotlib.pyplot as plt
from matplotlib import rc
from matplotlib.backends.backend_pdf import PdfPages
d = load('Fmufiles/errvsig0.750.85_10e3n1.0_b1.8y.dat').transpose()
d1 = load('Fmufiles/errvsig0.750.85_10e3n0.1_b1.8y.dat').transpose()
d2 = load('Fmufiles/errvsig0.750.85_10e3n10.0_b1.8y.dat').transpose()
pp = PdfPages(diro+'errvsig.pdf')
plt.clf()
plt.minorticks_on()
plt.xlabel(r'$\sigma_z/(1+z)$',size=16)
plt.ylabel(r'Relative BAO Information',size=16)
plt.plot(d[0],d[1]/d[1][0],'k-')
plt.plot(d1[0],d1[1]/d1[1][0],'r-')
plt.plot(d2[0],d2[1]/d2[1][0],'b-')
#a = ((1.+b)**(1./pr)-1)
a = .03/pr*log(1.+b)
#plt.plot(d[0],(d[0]/d[0][0]+a)**pr-b,'g--')#.7,.18
plt.plot(d[0],np.exp((d[0]-d[0][0]+a)*pr/.03)-b,'g--')
plt.ylim(0,1)
pp.savefig()
pp.close()
return True
def errvbias(num,bmin=1.,bmax=2.5,bstep=.01,zmin=.75,zmax=.85,dampz='n'):
fo = open('Fmufiles/errvbias'+str(zmin)+str(zmax)+'_10e3n'+str(10**3.*num)+dampz+'.dat','w')
nsig = int((bmax+bstep*.01-bmin)/bstep)
for i in range(0,nsig):
bias = bmin+i*bstep+bstep/2.
err = baoerr(zmin,zmax,0.001,1400.,num,bias,dampz=dampz)
fo.write(str(bias)+' '+str(1./err**2.)+' '+str(err)+'\n')
fo.close()