def run(): print('input:') print(gpr.fil) x0,y0,vlos = np.genfromtxt(gpr.fil, skiprows=0, unpack = True, usecols = (0,1,5)) # use only 3000 random particles: pdb.set_trace() ind = np.arange(len(x0)) np.random.shuffle(ind) ind = ind[:3000] x0 = x0[ind]; y0 = y0[ind]; vlos = vlos[ind] x0 *= 1000. # [pc] y0 *= 1000. # [pc] # center of mass with means #com_x, com_y = com_mean(x0,y0) # [TODO] # shrinking sphere method com_x, com_y, com_vz = com_shrinkcircle_v_2D(x0,y0, vlos) print('COM [pc]: ', com_x, com_y) print('VOM [km/s]', com_vz) x0 -= com_x; y0 -= com_y # [pc] vlos -= com_vz #[km/s] rc = np.sqrt(x0**2+y0**2) # [pc] rc.sort() # [pc] for i in range(len(rc)-1): if rc[i]>rc[i+1]: #[pc] print('sorting error!') exit(1) rhalf = rc[floor(len(rc)/2)] # [pc] rscale = rhalf # or gpr.r_DM # [pc] print('rscale = ',rscale,' pc') print('max(r) = ',max(rc),' pc') print('last element of r : ',rc[-1],' pc') print('total number of stars: ',len(rc)) r0 = np.sqrt(x0**2+y0**2)/rscale sel = (r0<gpr.rprior) x = x0[sel]/rscale; y = y0[sel]/rscale # [r_scale] vz=vlos[sel] m = np.ones(len(x)) r = np.sqrt(x*x+y*y) #[r_scale] # print("x y z") on first line, to interprete data later on crscale = open(gpr.get_params_file(0),'w') print('# rscale in [pc], surfdens_central (=dens0) in [munit/rscale**2], and in [munit/pc**2], and totmass [munit], and max(v_LOS) in [km/s]', file=crscale) print(rscale, file=crscale) crscale.close() print('output: ',gpr.get_com_file(0)) c = open(gpr.get_com_file(0),'w') print('# x [rscale],','y [rscale],','vLOS [km/s],','rscale = ',rscale,' pc', file=c) for k in range(len(x)): print(x[k],y[k],vz[k], file=c) #[rscale], [rscale], [km/s] c.close() if not gpr.showplots: return ion(); ax = subplot(111) # res = (abs(x)<3)*(abs(y)<3) # x = x[res]; y = y[res] #[rscale] en = len(x) H, xedges, yedges = np.histogram2d(x, y, bins=(30,30), range=[[-3.,3.], [-3.,3.]]) extent = [yedges[0], yedges[-1], xedges[0], xedges[-1]] subplots_adjust(bottom=0.15, left=0.15) imshow(H, interpolation='bilinear', origin='lower', cmap=cm.gray, extent=(-3,3,-3,3)) levels = np.logspace(2,4,10) cset = contour(H, levels, origin='lower', extent=extent) #cmap=cm.gray clabel(cset, inline=1, fontsize=8, fmt='%1.0i') for c in cset.collections: c.set_linestyle('solid') # scatter(x[:en], y[:en], s=35, vmin=0.95, vmax=1.0, lw=0.0, alpha=0.2) # xscale('log'); yscale('log') circ_HL=Circle((0,0), radius=rscale/rscale, fc='None', ec='g', lw=3) circ_DM=Circle((0,0), radius=gpr.r_DM/rscale, fc='None', ec='r', lw=3) gca().add_patch(circ_HL); gca().add_patch(circ_DM) # visible region axes().set_aspect('equal') xlabel(r'$x [R_s]$'); ylabel(r'$y [R_s]$') # title(gpr.fil) savefig(gpr.get_com_png(0)) if gpr.showplots: ioff();show();clf()
def run(): xall, yall = np.loadtxt(gpr.get_com_file(0), skiprows=1, usecols=(0, 1), unpack=True) # 2*[Rscale] # calculate 2D radius on the skyplane R = np.sqrt(xall ** 2 + yall ** 2) # [Rscale] # set number and size of (linearly spaced) bins Rmin = 0.0 # [Rscale] Rmax = max(r) if gpr.rprior < 0 else 1.0 * gpr.rprior # [Rscale] print("Rmax [Rscale] = ", Rmax) R = R[(R < Rmax)] # determine radius once and for all # this must not be changed between readout and gravlite run # if you wish to change: set gp.getnewdata = True in gl_params.py if gp.lograd: print(gpr.nbins, " bins in log spacings") Binmin, Binmax, Rbin = bin_r_log(Rmax / gpr.nbins, Rmax, gpr.nbins) elif gp.consttr: print(len(R) / gpr.nbins, " particles per bin") Binmin, Binmax, Rbin = bin_r_const_tracers(R, len(R) / gpr.nbins) else: print(gpr.nbins, " bins in linear spacings") Binmin, Binmax, Rbin = bin_r_linear(Rmin, Rmax, gpr.nbins) # volume of a circular ring from binmin to binmax vol = np.zeros(gpr.nbins) for k in range(gpr.nbins): vol[k] = 4.0 * np.pi / 3.0 * (Binmax[k] ** 3 - Binmin[k] ** 3) # [Rscale^3] for comp in range(gpr.ncomp): print("####### working on component ", comp) print("input: ", gpr.get_com_file(comp) + "_3D") # start from data centered on COM already: if gfile.bufcount(gpr.get_com_file(comp) + "_3D") < 2: continue x, y, z, v = np.loadtxt( gpr.get_com_file(comp) + "_3D", skiprows=1, usecols=(0, 1, 2, 3), unpack=True ) # 3*[Rscale], [km/s] # calculate 2D radius on the skyplane r = np.sqrt(x ** 2 + y ** 2) # [Rscale] # set maximum radius (if gpr.rprior is set) rmax = max(r) if gpr.rprior < 0 else 1.0 * gpr.rprior # [Rscale] print("rmax [Rscale] = ", rmax) sel = r <= rmax x = x[sel] y = y[sel] z = z[sel] v = v[sel] r = r[sel] # [Rscale] totmass = 1.0 * len(x) # [munit], munit = 1/star rs = r # + possible starting offset, [Rscale] vlos = v # + possible starting offset, [km/s] print("output density: ") print(gpr.get_ntracer_file(comp) + "_3D") tr = open(gpr.get_ntracer_file(comp) + "_3D", "w") print(totmass, file=tr) tr.close() print(gpr.get_dens_file(comp) + "_3D") de = open(gpr.get_dens_file(comp) + "_3D", "w") print("rbin", "binmin", "binmax", "nu(r)/nu(0)", "error", file=de) print(gpr.get_enc_mass_file(comp) + "_3D") em = open(gpr.get_enc_mass_file(comp) + "_3D", "w") print("rbin", "binmin", "binmax", "M(<r)", "error", file=em) # gpr.n=30 iterations for getting random picked radius values density = np.zeros((gpr.nbins, gpr.n)) a = np.zeros((gpr.nbins, gpr.n)) # shared by density, siglos, kappa calcs for k in range(gpr.n): rsi = gpr.Rerror * np.random.randn(len(rs)) + rs # [Rscale] vlosi = gpr.vrerror * np.random.randn(len(vlos)) + vlos # [km/s] for i in range(gpr.nbins): ind1 = np.argwhere(np.logical_and(rsi >= Binmin[i], rsi < Binmax[i])).flatten() # [1] density[i][k] = (1.0 * len(ind1)) / vol[i] * totmass # [munit/Rscale^2] vlos1 = vlosi[ind1] # [km/s] a[i][k] = 1.0 * len(ind1) # [1] # output density dens0 = np.sum(density[0]) / (1.0 * gpr.n) # [munit/Rscale^3] print("dens0 = ", dens0, " [munit/Rscale^3]") crscale = open(gpr.get_params_file(comp) + "_3D", "r") Rscale = np.loadtxt(crscale, comments="#", skiprows=1, unpack=False) crscale.close() cdens = open(gpr.get_params_file(comp) + "_3D", "a") print(dens0, file=cdens) # [munit/Rscale^3] print(dens0 / Rscale ** 3, file=cdens) # [munit/pc^3] print(totmass, file=cdens) # [munit] cdens.close() ab0 = np.sum(a[0]) / (1.0 * gpr.n) # [1] denserr0 = dens0 / np.sqrt(ab0) # [munit/Rscale^3] p_dens = np.zeros(gpr.nbins) p_edens = np.zeros(gpr.nbins) for b in range(gpr.nbins): dens = np.sum(density[b]) / (1.0 * gpr.n) # [munit/Rscale^3] ab = np.sum(a[b]) / (1.0 * gpr.n) # [1] denserr = dens / np.sqrt(ab) # [munit/Rscale^3] denserror = np.sqrt((denserr / dens0) ** 2 + (dens * denserr0 / (dens0 ** 2)) ** 2) # [1] if math.isnan(denserror): denserror = 0.0 # [1] p_dens[b] = p_dens[b - 1] # [1] p_edens[b] = p_edens[b - 1] # [1] else: p_dens[b] = dens / dens0 # [1] p_edens[b] = denserror # [1] #100/rbin would be artificial guess print(Rbin[b], Binmin[b], Binmax[b], p_dens[b], p_edens[b], file=de) # [Rscale], 2*[dens0] indr = r < Binmax[b] menclosed = 1.0 * np.sum(indr) / totmass # for normalization to 1 # [totmass] merror = menclosed / np.sqrt(ab) # artificial menclosed/10 # [totmass] print(Rbin[b], Binmin[b], Binmax[b], menclosed, merror, file=em) # [rscale], 2*[totmass] # TODO: check: take rbinmax for MCMC? de.close() em.close() if not gpr.showplots: continue # plot density ion() subplot(111) print("rbin = ", Rbin) print("p_dens = ", p_dens) print("p_edens = ", p_edens) plot(Rbin, p_dens, "b", lw=1) lbound = p_dens - p_edens lbound[lbound < 1e-6] = 1e-6 ubound = p_dens + p_edens fill_between(Rbin, lbound, ubound, alpha=0.5, color="r") yscale("log") xlim([0, gpr.rprior]) ylim([np.min(lbound), np.max(ubound)]) xlabel(r"$r [r_c]$") ylabel(r"$\nu(r)/\nu(0)$") savefig(gpr.get_dens_png(i) + "_3D.png") ioff() show() clf()
def run(): print('input: ', gpr.fil) x0,y0,z0,vz0,vb0,Mg0,PM0,comp0 = np.genfromtxt(gpr.fil, skiprows = 0, unpack = True,\ usecols=(0,1,2,11,12,13,19,20),\ dtype="d17",\ converters={0:expDtofloat, # x0 in pc \ 1:expDtofloat, # y0 in pc \ 2:expDtofloat, # z0 in pc \ 11:expDtofloat, # vz0 in km/s\ 12:expDtofloat, # vb0(LOS due binary), km/s\ 13:expDtofloat, # Mg0 in Angstrom\ 19:expDtofloat, # PM0 [1]\ 20:expDtofloat}) # comp0 1,2,3(background) # TODO: use component 6-1 instead of 12-1 for z velocity, to include observational errors # only use stars which are members of the dwarf: exclude pop3 by construction pm = (PM0 >= gpr.pmsplit) # exclude foreground contamination, outliers PM0 = PM0[pm] comp0 = comp0[pm]; x0=x0[pm]; y0=y0[pm]; z0=z0[pm]; vz0=vz0[pm]; vb0=vb0[pm]; Mg0=Mg0[pm] pm1 = (comp0 == 1) # will be overwritten below if gp.metalpop pm2 = (comp0 == 2) # same same if gp.metalpop: # drawing of populations based on metallicity # get parameters from function in pymcmetal.py import pymcmetal as pmc p,mu1,sig1,mu2,sig2, M = pmc.bimodal_gauss(Mg0) pm1, pm2 = pmc.assign_pop(Mg0,p,mu1,sig1,mu2,sig2) # output: changed pm1, pm2 # cutting pm_i to a maximum of ntracers particles: from random import shuffle ind = np.arange(len(x0)) np.random.shuffle(ind) ind = ind[:gp.files.ntracer] x0=x0[ind]; y0=y0[ind]; z0=z0[ind]; comp0=comp0[ind]; vz0=vz0[ind]; vb0=vb0[ind]; Mg0=Mg0[ind] PM0 = PM0[ind]; pm1 = pm1[ind]; pm2 = pm2[ind]; pm = pm1+pm2 # get center of mass with means #com_x, com_y,com_z = com_mean(x0,y0,z0,PM0) # [TODO], and TODO: z component included if available # get COM with shrinking sphere method com_x, com_y, com_z, com_vz = com_shrinkcircle_v(x0, y0, z0, vz0, PM0) print('COM [pc]: ', com_x, com_y, com_z) print('VOM [km/s]', com_vz) # from now on, work with 2D data only; z0 was only used to get center in (x,y) better x0 -= com_x; y0 -= com_y # [pc] vz0 -= com_vz #[km/s] R0 = np.sqrt(x0**2+y0**2) # [pc] Rc = R0 # [pc] Rc.sort() # [pc] for i in range(len(Rc)-1): if Rc[i]>Rc[i+1]: # [pc] print('sorting error!') exit(1) Rhalf = Rc[floor(len(Rc)/2)] # [pc] Rscale = Rhalf # or gpr.r_DM # [pc] # Rscale = gpr.r_DM # deleted, we only work with data print('Rscale = ',Rscale,' pc') print('max(R) = ',max(Rc),' pc') print('last element of R : ',Rc[-1],' pc') print('total number of stars: ',len(Rc)) x0 = x0/Rscale; y0 = y0/Rscale # [Rscale] i = -1 for pmn in [pm,pm1,pm2]: pmr = (R0<(gpr.rprior*Rscale)) # TODO: read from gl_class_file pmn = pmn*pmr # [1] print("fraction of members = ",1.0*sum(pmn)/len(pmn)) i = i+1 x=x0[pmn]; y=y0[pmn]; vz=vz0[pmn]; vb=vb0[pmn]; # [1], [km/s] Mg=Mg0[pmn]; comp=comp0[pmn]; PMN=PM0[pmn] # [ang], [1], [1] m = np.ones(len(pmn)) R = np.sqrt(x*x+y*y) # [Rscale] # print("x y z" on first line, to interprete data later on) crscale = open(gpr.get_params_file(i),'w') print('# Rscale in [pc], surfdens_central (=dens0) in [munit/rscale**2], and in [munit/pc**2], and totmass [munit], and max(v_LOS) in [km/s]', file=crscale) print(Rscale, file=crscale) crscale.close() print('output: ',gpr.get_com_file(i)) c = open(gpr.get_com_file(i),'w') print('# x [Rscale],','y [Rscale],','vLOS [km/s],','Rscale = ',Rscale,' pc', file=c) for k in range(len(x)): print(x[k],y[k],vz[k], file=c) # [Rscale], [Rscale], [km/s] c.close() if not gpr.showplots: continue ion(); subplot(111) res = (abs(x)<3)*(abs(y)<3) x = x[res]; y = y[res] # [Rscale] en = len(x) if en == 0: continue scatter(x[:en], y[:en], c=pmn[:en], s=35, vmin=0.95, vmax=1.0, lw=0.0, alpha=0.2) # xscale('log'); yscale('log') if i == 0: colorbar() circ_HL=Circle((0,0), radius=Rscale/Rscale, fc='None', ec='g', lw=1) circ_DM=Circle((0,0), radius=gpr.r_DM/Rscale, fc='None', ec='r', lw=1) gca().add_patch(circ_HL); gca().add_patch(circ_DM) # visible region maxr = max(np.abs(x)); mayr = max(np.abs(y)) #[rscale] width2 = max([maxr,mayr]) #[rscale] xlim([-width2,width2]); ylim([-width2,width2]) axes().set_aspect('equal') xlabel(r'$x [R_s]$'); ylabel(r'$y [R_s]$') # title(gpr.fil) savefig(gpr.get_com_png(i)) if gpr.showplots: ioff();show();clf()
def run(): print('input: ',gpr.get_com_file(0)) # start from data centered on COM already: x,y,v = np.loadtxt(gpr.get_com_file(0),\ skiprows=1,usecols=(0,1,2),unpack=True) #[rscale], [rscale], [km/s] # calculate 2D radius on the skyplane r = np.sqrt(x**2+y**2) #[rscale] # set number and size of (linearly spaced) bins rmin = 0. #[rscale] rmax = max(r) if gpr.rprior<0 else 1.0*gpr.rprior #[rscale] print('rmax [rscale] = ', rmax) sel = (r<rmax) x = x[sel]; y = y[sel]; v = v[sel] #[rscale] totmass = 1.*len(x) #[munit], munit = 1/star if gp.lograd: # space logarithmically in radius binmin, binmax, rbin = bin_r_log(rmax/gpr.nbins, rmax, gpr.nbins) elif gp.consttr: binmin, binmax, rbin = bin_r_const_tracers(r, len(r)/gpr.nbins) else: binmin, binmax, rbin = bin_r_linear(rmin, rmax, gpr.nbins) #volume of a circular bin from binmin to binmax vol = np.zeros(gpr.nbins) for k in range(gpr.nbins): vol[k] = np.pi*(binmax[k]**2-binmin[k]**2) # [rscale**2] # rs = gpr.rerror*np.random.randn(len(r))+r rs = r #[rscale] # if no initial offset is whished print('output: ') print(gpr.get_ntracer_file(0)) tr = open(gpr.get_ntracer_file(0),'w') print(totmass, file=tr) tr.close() print(gpr.get_dens_file(0)) de = open(gpr.get_dens_file(0),'w') print(gpr.get_enc_mass_file(0)) em = open(gpr.get_enc_mass_file(0),'w') print('r','nu(r)/nu(0)','error', file=de) print('r','M(<r)','error', file=em) # 30 iterations for getting random picked radius values density = np.zeros((gpr.nbins,gpr.n)) a = np.zeros((gpr.nbins,gpr.n)) for k in range(gpr.n): rsi = gpr.rerror * np.random.randn(len(rs)) + rs # [rscale] for j in range(gpr.nbins): ind1 = np.argwhere(np.logical_and(rsi>=binmin[j],rsi<binmax[j])).flatten() # [1] density[j][k] = (1.*len(ind1))/vol[j]*totmass # [munit/rscale**2] a[j][k] = 1.*len(ind1) #[1] dens0 = np.sum(density[0])/(1.*gpr.n) # [munit/rscale**2] print('dens0 = ',dens0,'[munit/rscale**2]') crscale = open(gpr.get_params_file(0),'r') rscale = np.loadtxt(crscale, comments='#', skiprows=1, unpack=False) crscale.close() cdens = open(gpr.get_params_file(0),'a') print(dens0, file=cdens) # [munit/rscale**2] print(dens0/rscale**2, file=cdens) # [munit/pc**2] print(totmass, file=cdens) # [munit] cdens.close() ab0 = np.sum(a[0])/(1.*gpr.n) # [1] denserr0 = dens0/np.sqrt(ab0) # [munit/rscale**2] p_dens = np.zeros(gpr.nbins); p_edens = np.zeros(gpr.nbins) for b in range(gpr.nbins): dens = np.sum(density[b])/(1.*gpr.n) # [munit/rscale**2] ab = np.sum(a[b])/(1.*gpr.n) # [1] denserr = dens/np.sqrt(ab) # [munit/rscale**2] denserror = np.sqrt((denserr/dens0)**2+(dens*denserr0/(dens0**2))**2) #[1] if(math.isnan(denserror)): denserror = 0. # [1] ## [PS]: TODO: change bin sizes to include same number of ## stars in each bin, not assigning wrong density as below p_dens[b] = p_dens[b-1] # [1] p_edens[b]= p_edens[b-1] # [1] else: p_dens[b] = dens/dens0 # [1] p_edens[b]= denserror # [1] #100/rbin would be artificial guess for b in range(gpr.nbins): print(rbin[b],p_dens[b],p_edens[b], file=de) # [rscale], [dens0], [dens0] indr = (r<binmax[b]) menclosed = 1.0*np.sum(indr)/totmass # /totmass for normalization to 1 at last bin #[totmass] merror = menclosed/np.sqrt(ab) # artificial menclosed/10 gives good approximation #[totmass] print(rbin[b],menclosed,merror, file=em) # [rscale], [totmass], [totmass] # TODO: check: take rbinmax for MCMC? de.close() em.close() if not gpr.showplots: return ion(); subplot(111) print('rbin = ',rbin) print('p_dens = ',p_dens) print('p_edens = ',p_edens) plot(rbin,p_dens,'b',linewidth=3) lbound = p_dens-p_edens; lbound[lbound<1e-6] = 1e-6 ubound = p_dens+p_edens; fill_between(rbin,lbound,ubound,alpha=0.5,color='r') # xscale('log'); yscale('log') xlim([np.min(rbin),np.max(rbin)]) ylim([np.min(lbound),np.max(ubound)]) # ylim([1e-3,3.])#ylim([1e-6,2*np.max(p_dens)]) # ylim([0,1]) xlabel(r'$r [r_c]$') ylabel(r'$\nu(r)/\nu(0)$') # plt.legend(['\rho','\rho'],'lower left') # title(fil) # axes().set_aspect('equal') savefig(gpr.get_dens_png(0)) if gpr.showplots: ioff(); show(); clf()
pmn = pmn*pmr # [1] print("fraction of members = ",1.0*sum(pmn)/len(pmn)) i = i+1 x=x0[pmn]; y=y0[pmn]; z=z0[pmn]; vz=vz0[pmn]; vb=vb0[pmn]; #[1], [km/s] Mg=Mg0[pmn]; comp=comp0[pmn]; PMN=PM0[pmn] # [ang], [1], [1] m = np.ones(len(pmn)) r = np.sqrt(x*x+y*y) #[r_scale] # print "x y z" on first line, to interprete data later on crscale = open(gpr.get_params_file(i),'w') print('# rscale in [pc], surfdens_central (=dens0) in [munit/rscale**2], and in [munit/pc**2], and totmass [munit], and max(v_LOS) in [km/s]', file=crscale) print(rscale, file=crscale) crscale.close() print('output: ',gpr.get_com_file(i)) c = open(gpr.get_com_file(i),'w') print('# x [rscale],','y [rscale],','vLOS [km/s],','rscale = ',rscale,' pc', file=c) for k in range(len(x)): print(x[k],y[k],vz[k], file=c) #[rscale], [rscale], [km/s] c.close() if not gpr.showplots: continue ion(); subplot(111) res = (abs(x)<3)*(abs(y)<3) x = x[res]; y = y[res] #[rscale] en = len(x) if en == 0: continue
def run(): Rscale = []; Dens0Rscale = []; Dens0pc = []; Totmass = []; Maxvlos = [] rscale = []; dens0Rscale = []; dens0pc = []; totmass = []; maxvlos = [] for comp in range(3): A = np.loadtxt(gp.files.get_scale_file(comp), unpack=False, skiprows=1) Rscale.append(A[0]) Dens0Rscale.append(A[1]) Dens0pc.append(A[2]) Totmass.append(A[3]) B = np.loadtxt(gp.files.get_scale_file(comp)+'_3D', unpack=False, skiprows=1) rscale.append(B[0]) dens0Rscale.append(B[1]) dens0pc.append(B[2]) totmass.append(B[3]) print('####### working on component ',comp) print('input: ',gpr.get_com_file(comp)+'_3D') # start from data centered on COM already: if gfile.bufcount(gpr.get_com_file(comp)+'_3D')<2: continue Rbin,Binmin,Binmax,Dens,Denserr = np.loadtxt(gpr.get_dens_file(comp),\ skiprows=1,usecols=(0,1,2,3,4),\ unpack=True) # 3*[Rscale], [km/s] Rbin*=Rscale[comp]; Binmin*=Rscale[comp]; Binmax*=Rscale[comp]; Dens*=Dens0pc[comp]; Denserr*=Dens0pc[comp] rbin,binmin,binmax,dens,denserr = np.loadtxt(gpr.get_dens_file(comp)+'_3D',\ skiprows=1,usecols=(0,1,2,3,4),\ unpack=True) # 3*[Rscale], [km/s] rbin*=rscale[comp]; binmin*=rscale[comp]; binmax*=rscale[comp]; dens*=dens0pc[comp]; denserr*=dens0pc[comp] ion() f=figure(figsize=(6,3)) ax1 = f.add_subplot(121) # Nu ax2 = f.add_subplot(122, sharex=ax1) # nu ax1.plot(Rbin, Dens,'b',lw=1) lbound = Dens-Denserr; lbound[lbound<1e-6] = 1e-6 ubound = Dens+Denserr; ax1.fill_between(Rbin,lbound,ubound,alpha=0.5,color='r') ax1.set_yscale('log') ax1.set_xlim([0,np.max(Binmax)]) ax1.set_ylim([np.min(lbound),np.max(ubound)]) ax1.set_xlabel(r'$R [R_c]$') ax1.set_ylabel(r'$\nu_{2D}(R)/\nu_{2D}(0)$') try: ax1.plot(Rbin,rho_INT_Rho(Rbin,dens,denserr)) ax1.plot(Rbin,rho_INT_Rho(Rbin,Rho_INT_rho(Rbin,Dens,Denserr),denserr)) except Exception as detail: print('rho_INT_Rho giving NaN in plotting') draw() ax2.plot(rbin, dens,'b',lw=1) lbound = dens-denserr; lbound[lbound<1e-6] = 1e-6 ubound = dens+denserr; ax2.fill_between(rbin,lbound,ubound,alpha=0.5,color='r') ax2.set_yscale('log') ax2.set_xlim([0,np.max(binmax)]) ax2.set_ylim([np.min(lbound),np.max(ubound)]) ax2.set_xlabel(r'$r [R_c]$') ax2.set_ylabel(r'$\nu(r)/\nu(0)$') ax2.yaxis.tick_right() ax2.yaxis.set_label_position("right") draw() # projNu = rho_INT_Rho(rbin, dens) # TODO: do not forget try # projNu = test(rbin, binmin, binmax, dens) # ax1.plot(rbin, projNu) ax2.plot(rbin,Rho_INT_rho(Rbin,Dens,Denserr),color='green') draw() pdb.set_trace() ioff(); show()
def run(): xall,yall = np.loadtxt(gpr.get_com_file(0), skiprows=1, usecols=(0,1), unpack=True) # 2*[Rscale] # calculate 2D radius on the skyplane R = np.sqrt(xall**2+yall**2) # [Rscale] # set number and size of (linearly spaced) bins Rmin = 0. #[rscale] Rmax = max(R) if gpr.rprior<0 else 1.0*gpr.rprior # [Rscale] print('Rmax [Rscale] = ', Rmax) R = R[(R<Rmax)] # determine radius once and for all # this must not be changed between readout and gravlite run # if you wish to change: set gp.getnewdata = True in gl_params.py if gp.lograd: print(gpr.nbins,' bins in log spacings') Binmin, Binmax, Rbin = bin_r_log(Rmax/gpr.nbins, Rmax, gpr.nbins) elif gp.consttr: print(len(R)/gpr.nbins,' particles per bin') Binmin, Binmax, Rbin = bin_r_const_tracers(R, len(R)/gpr.nbins) else: print(gpr.nbins, ' bins in linear spacings') Binmin, Binmax, Rbin = bin_r_linear(Rmin, Rmax, gpr.nbins) # volume of a circular ring from binmin to binmax Vol = np.zeros(gpr.nbins) for k in range(gpr.nbins): Vol[k] = np.pi*(Binmax[k]**2-Binmin[k]**2) # [Rscale^2] for comp in range(gpr.ncomp): print('####### working on component ',comp) print('input: ',gpr.get_com_file(comp)) # start from data centered on COM already: if gfile.bufcount(gpr.get_com_file(comp))<2: continue x,y,v = np.loadtxt(gpr.get_com_file(comp),\ skiprows=1,usecols=(0,1,2),unpack=True) #[rscale], [rscale], [km/s] # calculate 2D radius on the skyplane R = np.sqrt(x**2+y**2) #[rscale] # set maximum radius (if gpr.rprior is set) Rmax = max(R) if gpr.rprior<0 else 1.0*gpr.rprior # [Rscale] print('Rmax [Rscale] = ', Rmax) sel = (R<=Rmax) x = x[sel]; y = y[sel]; v = v[sel]; R = R[sel] # [Rscale] totmass = 1.*len(x) # [munit], munit = 1/star Rs = R # + possible starting offset, [Rscale] vlos = v # + possible starting offset, [km/s] print('output density: ') print(gpr.get_ntracer_file(comp)) tr = open(gpr.get_ntracer_file(comp),'w') print(totmass, file=tr) tr.close() print(gpr.get_dens_file(comp)) de = open(gpr.get_dens_file(comp),'w') print('Rbin [Rscale]','Binmin [Rscale]','Binmax [Rscale]','Nu(R)/Nu(0) [1]','error [1]', file=de) print(gpr.get_enc_mass_file(comp)) em = open(gpr.get_enc_mass_file(comp),'w') print('R [Rscale]','Binmin [Rscale]','Binmax [Rscale]','M(<Binmax) [Msun]','error [Msun]', file=em) print('output siglos: ',gpr.get_siglos_file(comp)) sigfil = open(gpr.get_siglos_file(comp),'w') print('R [Rscale]','Binmin [Rscale]','Binmax [Rscale]','sigma_r(R) [km/s]','error [km/s]', file=sigfil) print('output kurtosis: ',gpr.get_kurtosis_file(comp)) kappafil = open(gpr.get_kurtosis_file(comp),'w') print('R [Rscale]','Binmin [Rscale]','Binmax [Rscale]','kappa_los(R) [1]','error [1]', file=kappafil) # gpr.n=30 iterations for getting random picked radius values Density = np.zeros((gpr.nbins,gpr.n)) dispvelocity = np.zeros((gpr.nbins,gpr.n)) mom4 = np.zeros((gpr.nbins,gpr.n)) a = np.zeros((gpr.nbins,gpr.n)) # shared by density, siglos, kappa calcs for k in range(gpr.n): Rsi = gpr.Rerror * np.random.randn(len(Rs)) + Rs # [Rscale] vlosi = gpr.vrerror * np.random.randn(len(vlos)) + vlos # [km/s] for i in range(gpr.nbins): ind1 = np.argwhere(np.logical_and(Rsi >= Binmin[i],Rsi<Binmax[i])).flatten() # [1] Density[i][k] = (1.*len(ind1))/Vol[i]*totmass # [munit/rscale**2] vlos1 = vlosi[ind1] # [km/s] if(len(ind1)<=1): dispvelocity[i][k] = dispvelocity[i-1][k] mom4[i][k] = mom4[i-1][k] # attention! should be 0, uses last value else: dispvelocity[i][k] = meanbiweight(vlos1,ci_perc=68.4,ci_mean=True,ci_std=True)[1] # [km/s], see BiWeight.py mom4[i][k] = kurtosis(vlos1, axis=0, fisher=False, bias=False) # [1] a[i][k] = 1.*len(ind1) #[1] # output density Dens0 = np.sum(Density[0])/(1.*gpr.n) # [munit/Rscale^2] print('Dens0 = ', Dens0, '[munit/Rscale^2]') crscale = open(gpr.get_params_file(comp),'r') Rscale = np.loadtxt(crscale, comments='#', skiprows=1, unpack=False) crscale.close() cdens = open(gpr.get_params_file(comp),'a') print(Dens0, file=cdens) # [munit/Rscale^2] Dens0pc = Dens0/Rscale**2 # [munis/pc^2] print(Dens0pc, file=cdens) # [munit/pc^2] print(totmass, file=cdens) # [munit] cdens.close() ab0 = np.sum(a[0])/(1.*gpr.n) # [1] Denserr0 = Dens0/np.sqrt(ab0) # [munit/Rscale^2] P_dens = np.zeros(gpr.nbins); P_edens = np.zeros(gpr.nbins) for b in range(gpr.nbins): Dens = np.sum(Density[b])/(1.*gpr.n) # [munit/Rscale^2] ab = np.sum(a[b])/(1.*gpr.n) # [1] Denserr = Dens/np.sqrt(ab) # [munit/Rscale^2] # TODO: too small? offset in nu? Denserror = np.sqrt((Denserr/Dens0)**2+(Dens*Denserr0/(Dens0**2))**2) # [1] if(math.isnan(Denserror)): Denserror = 0. # [1] P_dens[b] = P_dens[b-1] # [1] P_edens[b]= P_edens[b-1] # [1] else: P_dens[b] = Dens/Dens0 # [1] P_edens[b]= Denserror # [1] #100/rbin would be artificial guess print(Rbin[b], Binmin[b], Binmax[b], P_dens[b], P_edens[b], file=de) # 3*[rscale], [dens0], [dens0] indr = (R<Binmax[b]) Menclosed = 1.0*np.sum(indr)/totmass # for normalization to 1 #[totmass] Merror = Menclosed/np.sqrt(ab) # or artificial Menclosed/10 #[totmass] print(Rbin[b], Binmin[b], Binmax[b], Menclosed, Merror, file=em) # [Rscale], 2* [totmass] # TODO: check: take rbinmax for MCMC? de.close() em.close() # output siglos p_dvlos = np.zeros(gpr.nbins); p_edvlos = np.zeros(gpr.nbins) for b in range(gpr.nbins): dispvel = np.sum(dispvelocity[b])/gpr.n #[km/s] ab = np.sum(a[b])/(1.*gpr.n) #[1] if ab == 0: dispvelerror = p_edvlos[b-1] #[km/s] # attention! uses last error else: dispvelerror = dispvel/np.sqrt(ab) #[km/s] p_dvlos[b] = dispvel #[km/s] p_edvlos[b]= dispvelerror #[km/s] maxvlos = max(p_dvlos) #[km/s] print('maxvlos = ', maxvlos, '[km/s]') fpars = open(gpr.get_params_file(comp),'a') print(maxvlos, file=fpars) #[km/s] fpars.close() for b in range(gpr.nbins): print(Rbin[b], Binmin[b], Binmax[b], np.abs(p_dvlos[b]/maxvlos),np.abs(p_edvlos[b]/maxvlos), file=sigfil) # 3*[rscale], 2*[maxvlos] # TODO: check uncommented /np.sqrt(n)) sigfil.close() # output kurtosis kappa p_kappa = np.zeros(gpr.nbins) # needed for plotting later p_ekappa = np.zeros(gpr.nbins) for b in range(gpr.nbins): kappavel = np.sum(mom4[b])/gpr.n #[1] ab = np.sum(a[b])/(1.*gpr.n) #[1] if ab == 0: kappavelerror = p_edvlos[b-1] #[1] # attention! uses last error else: kappavelerror = np.abs(kappavel/np.sqrt(ab)) #[1] p_kappa[b] = kappavel p_ekappa[b] = kappavelerror print(Rbin[b],Binmin[b],Binmax[b], kappavel, kappavelerror, file=kappafil) # [rscale], 2*[1] # TODO: /np.sqrt(n)) kappafil.close() if not gpr.showplots: continue # plot density ion(); subplot(111) print('Rbin = ', Rbin) print('P_dens = ', P_dens) print('P_edens = ', P_edens) plot(Rbin, P_dens*Dens0pc, 'b', lw=1) lbound = (P_dens-P_edens)*Dens0pc; lbound[lbound<1e-6] = 1e-6 ubound = (P_dens+P_edens)*Dens0pc fill_between(Rbin, lbound, ubound, alpha=0.5, color='r') yscale('log') # xlim([0, gpr.rprior]) # ylim([np.min(lbound),np.max(ubound)]) xlabel(r'$R [R_c]$') ylabel(r'$\nu_{2D}(R) [\mathrm{Msun/pc/pc}]$') savefig(gpr.get_dens_png(i)) ioff(); show(); clf() # plot siglos ion(); subplot(111) print('Rbin = ',Rbin,' Rscale') print('p_dvlos = ',p_dvlos,' km/s') print('p_edvlos = ',p_edvlos, 'km/s') plot(Rbin, p_dvlos, 'b', lw=1) fill_between(Rbin, p_dvlos-p_edvlos, p_dvlos+p_edvlos, alpha=0.5, color='r') # [rscale],2*[km/s] xlabel(r'$R [\mathrm{Rscale}]$') ylabel(r'$\langle\sigma_{\mathrm{LOS}}\rangle [\mathrm{km/s}]$') ylim([-1, 30]) # xlim([0, 3]) savefig(gpr.get_siglos_png(comp)) ioff(); show(); clf() # plot kappa ion(); subplot(111) print('Rbin = ', Rbin, ' Rscale') print('p_kappa = ', p_kappa) print('p_ekappa = ', p_ekappa) plot(Rbin, p_kappa, 'b', lw=1) fill_between(Rbin, p_kappa-p_ekappa, p_kappa+p_ekappa, alpha=0.5, color='r') # [rscale], 2*[1] xlabel(r'$R [\mathrm{Rscale}]$') ylabel(r'$\langle\kappa_{\mathrm{LOS}}\rangle [1]$') ylim([0, 5.]) # xlim([0, gpr.rprior]) savefig(gpr.get_kurtosis_png(comp)) ioff(); show(); clf()
def run(): xall,yall = np.loadtxt(gpr.get_com_file(0),skiprows=1,usecols=(0,1),unpack=True) # 2*[rcore] # calculate 2D radius on the skyplane r = np.sqrt(xall**2+yall**2) #[rcore] # set number and size of (linearly spaced) bins rmin = 0. #[rcore] rmax = max(r) if gpr.rprior<0 else 1.0*gpr.rprior #[rcore] print 'rmax [rcore] = ', rmax r = r[(r<rmax)] # determine radius once and for all if gp.lograd: print gpr.nbins,' bins in log spacings' binmin, binmax, rbin = bin_r_log(rmax/gpr.nbins, rmax, gpr.nbins) elif gp.consttr: print len(r)/gpr.nbins,' particles per bin' binmin, binmax, rbin = bin_r_const_tracers(r, len(r)/gpr.nbins) else: print gpr.nbins, ' bins in linear spacings' binmin, binmax, rbin = bin_r_linear(rmin, rmax, gpr.nbins) # volume of a circular ring from binmin to binmax vol = np.zeros(gpr.nbins) for k in range(gpr.nbins): vol[k] = np.pi*(binmax[k]**2-binmin[k]**2) # [rcore^2] for comp in range(gpr.ncomp): print 'comp = ',comp print 'input: ',gpr.get_com_file(comp) # start from data centered on COM already: if gfile.bufcount(gpr.get_com_file(comp))<2: continue x,y,vlos = np.loadtxt(gpr.get_com_file(comp),\ skiprows=1,usecols=(0,1,2),unpack=True) #[rcore], [rcore], [km/s] # calculate 2D radius on the skyplane r = np.sqrt(x**2+y**2) #[rcore] # set maximum radius (if gpr.rprior is set) rmax = max(r) if gpr.rprior<0 else 1.0*gpr.rprior #[rcore] print 'rmax [rcore] = ', rmax sel = (r<=rmax) x = x[sel]; y = y[sel]; vlos = vlos[sel]; r = r[sel] #[rcore] totmass = 1.*len(x) #[munit], munit = 1/star rs = r # no offset from the start! # rs = gpr.rerror*np.random.randn(len(r))+r #[rcore] # vlos = gpr.vrerror*np.random.randn(len(vlos))+vlos #[km/s] print 'output: ',gpr.get_siglos_file(comp) vfil = open(gpr.get_siglos_file(comp),'w') print >> vfil,'r','sigma_r(r)','error' # 30 iterations for drawing a given radius in bin dispvelocity = np.zeros((gpr.nbins,gpr.n)) a = np.zeros((gpr.nbins,gpr.n)) p_dvlos = np.zeros(gpr.nbins) p_edvlos = np.zeros(gpr.nbins) for k in range(gpr.n): rsi = gpr.rerror*np.random.randn(len(rs))+rs #[rcore] vlosi = gpr.vrerror*np.random.randn(len(vlos))+vlos #[km/s] for i in range(gpr.nbins): ind1 = np.argwhere(np.logical_and(rsi>binmin[i],rsi<binmax[i])).flatten() a[i][k] = len(ind1) #[1] vlos1 = vlosi[ind1] #[km/s] if(len(ind1)<=1): dispvelocity[i][k] = dispvelocity[i-1][k] # attention! should be 0, uses last value else: dispvelocity[i][k] = meanbiweight(vlos1,ci_perc=68.4,\ ci_mean=True,ci_std=True)[1] # [km/s], see BiWeight.py for i in range(gpr.nbins): dispvel = np.sum(dispvelocity[i])/gpr.n #[km/s] ab = np.sum(a[i])/(1.*gpr.n) #[1] if ab == 0: dispvelerror = p_edvlos[i-1] #[km/s] # attention! uses last error else: dispvelerror = dispvel/np.sqrt(ab) #[km/s] p_dvlos[i] = dispvel #[km/s] p_edvlos[i]= dispvelerror #[km/s] maxvlos = max(p_dvlos) #[km/s] print 'maxvlos = ',maxvlos,'[km/s]' fpars = open(gpr.get_params_file(comp),'a') print >> fpars,maxvlos #[km/s] fpars.close() for i in range(gpr.nbins): # [rcore] [maxvlos] [maxvlos] print >> vfil,rbin[i], np.abs(p_dvlos[i]/maxvlos),np.abs(p_edvlos[i]/maxvlos) #/np.sqrt(n)) vfil.close() if not gp.testplot_read: continue ion(); subplot(111) print 'rbin = ',rbin,' rcore' print 'p_dvlos = ',p_dvlos,' km/s' print 'p_edvlos = ',p_edvlos, 'km/s' plot(rbin,p_dvlos,'b',lw=1) fill_between(rbin,p_dvlos-p_edvlos,p_dvlos+p_edvlos,alpha=0.5,color='r') #[rcore],[km/s],[km/s] xlabel(r'$r [\mathrm{rcore}]$') ylabel(r'$\langle\sigma_{\mathrm{LOS}}\rangle [\mathrm{km/s}]$') ylim([-5,30]) # xscale('log') xlim([np.min(rbin),np.max(rbin)]) #plt.legend(['\rho','\rho'],'lower left'); #title(dwarf) savefig(gpr.get_siglos_png(comp)) if gpr.showplots: ioff();show();clf()
def run(): # get radius, used for all binning print('input:') print(gpr.get_com_file(0)) if gfile.bufcount(gpr.get_com_file(0))<2: return x,y,vlos = np.loadtxt(gpr.get_com_file(0), skiprows=1, unpack=True) #2*[rscale], [km/s] totmass = 1.*len(x) # [munit], [Msun], where each star is weighted with the same mass r = np.sqrt(x*x+y*y) # [rscale] #set binning #gpr.nbins = (max - min)*N^(1/3)/(2*(Q3-Q1)) #(method of wand) rmin = 0. # [rscale] rmax = max(r) if gpr.rprior<0 else 1.0*gpr.rprior # [rscale] if gp.lograd: # space logarithmically in radius binmin, binmax, rbin = bin_r_log(rmax/gpr.nbins, rmax, gpr.nbins) elif gp.consttr: binmin, binmax, rbin = bin_r_const_tracers(r, len(r)/gpr.nbins) else: binmin, binmax, rbin = bin_r_linear(rmin, rmax, gpr.nbins) # offset from the start! rs = gpr.rerror*np.random.randn(len(r))+r #[rscale] vlos = gpr.vrerror*np.random.randn(len(vlos))+vlos #[km/s] print('output: ',gpr.get_siglos_file(0)) vfil = open(gpr.get_siglos_file(0),'w') print('r','sigma_r(r)','error', file=vfil) # 30 iterations for drawing a given radius in bin dispvelocity = np.zeros((gpr.nbins,gpr.n)) a = np.zeros((gpr.nbins,gpr.n)) p_dvlos = np.zeros(gpr.nbins) p_edvlos = np.zeros(gpr.nbins) for k in range(gpr.n): rsi = gpr.rerror*np.random.randn(len(rs))+rs #[rscale] vlosi = gpr.vrerror*np.random.randn(len(vlos))+vlos #[km/s] for i in range(gpr.nbins): ind1 = np.argwhere(np.logical_and(rsi>binmin[i],rsi<binmax[i])).flatten() a[i][k] = len(ind1) #[1] vlos1 = vlosi[ind1] #[km/s] if(len(ind1)<=1): dispvelocity[i][k] = dispvelocity[i-1][k] # attention! should be 0, uses last value else: dispvelocity[i][k] = meanbiweight(vlos1,ci_perc=68.4,\ ci_mean=True,ci_std=True)[1] # [km/s], see BiWeight.py for i in range(gpr.nbins): dispvel = np.sum(dispvelocity[i])/gpr.n #[km/s] ab = np.sum(a[i])/(1.*gpr.n) #[1] if ab == 0: dispvelerror = p_edvlos[i-1] #[km/s] # attention! uses last error else: dispvelerror = dispvel/np.sqrt(ab) #[km/s] p_dvlos[i] = dispvel #[km/s] p_edvlos[i]= dispvelerror #[km/s] maxvlos = max(p_dvlos) #[km/s] print('maxvlos = ',maxvlos,'[km/s]') fpars = open(gpr.get_params_file(0),'a') print(maxvlos, file=fpars) #[km/s] fpars.close() import shutil shutil.copy2(gpr.get_params_file(0), gpr.get_params_file(1)) for i in range(gpr.nbins): # [rscale] [maxvlos] [maxvlos] print(rbin[i], np.abs(p_dvlos[i]/maxvlos),np.abs(p_edvlos[i]/maxvlos), file=vfil) #/np.sqrt(n)) vfil.close() if not gpr.showplots: return ion(); subplot(111) print('rbin = ',rbin,' rscale') print('p_dvlos = ',p_dvlos,' km/s') print('p_edvlos = ',p_edvlos, 'km/s') plot(rbin,p_dvlos,'b',linewidth=3) fill_between(rbin,p_dvlos-p_edvlos,p_dvlos+p_edvlos,alpha=0.5,color='r') #[rscale],[km/s],[km/s] xlabel(r'$r [rscale]$') ylabel(r'$\langle\sigma_{LOS}\rangle [km/s]$') ylim([-5,30]) # xscale('log') xlim([np.min(rbin),np.max(rbin)]) #plt.legend(['\rho','\rho'],'lower left'); #title(dwarf) savefig(gpr.get_siglos_png(0)) if gpr.showplots: ioff();show();clf()
def run(): print('input:',gpr.fil) x0, y0, z0, vx, vy, vz = np.transpose(np.loadtxt(gpr.fil)) # cutting pm_i to a maximum of ntracers particles: from random import shuffle ind = np.arange(len(x0)) np.random.shuffle(ind) ind = ind[:gp.files.ntracer] x0 = x0[ind]; y0 = y0[ind]; z0 = z0[ind] vx = vx[ind]; vy = vy[ind]; vz = vz[ind] # get center of mass with means # com_x, com_y,com_z = com_mean(x0,y0,z0,PM0) # [TODO], and TODO: z component included if available # get COM with shrinking sphere method PM = np.ones(len(x0)) # assign all particles the full probability of membership com_x, com_y, com_z, com_vz = com_shrinkcircle_v(x0,y0,z0,vz,PM) print('COM [pc]: ', com_x, com_y, com_z) print('VOM [km/s]', com_vz) # from now on, work with 2D data only; # z0 was only used to get center in (x,y) better x0 -= com_x; y0 -= com_y # [pc] vz -= com_vz #[km/s] R0 = np.sqrt(x0**2+y0**2) # [pc] Rc = R0 # [pc] Rc.sort() # [pc] for i in range(len(Rc)-1): if Rc[i]>Rc[i+1]: # [pc] print('sorting error!') exit(1) Rhalf = Rc[floor(len(Rc)/2)] # [pc] Rscale = Rhalf # or gpr.r_DM # [pc] print('Rscale = ',Rscale,' pc') print('max(R) = ',max(Rc),' pc') print('last element of R : ',Rc[-1],' pc') print('total number of stars: ',len(Rc)) x0 = x0/Rscale; y0 = y0/Rscale # [Rscale] i = -1 for comp in range(gp.pops+1): # gp.pops +1 for all components together pmr = (R0<(gpr.rprior*Rscale)) # TODO: read from gl_class_file i = i+1 m = np.ones(len(R0)) x = x0; y = y0 R = np.sqrt(x*x+y*y) # [Rscale] # print("x y z" on first line, to interprete data later on) crscale = open(gpr.get_params_file(i),'w') print('# Rscale in [pc], surfdens_central (=dens0) in [munit/rscale**2], and in [munit/pc**2], and totmass [munit], and max(v_LOS) in [km/s]', file=crscale) print(Rscale, file=crscale) crscale.close() print('output: ',gpr.get_com_file(i)) c = open(gpr.get_com_file(i),'w') print('# x [Rscale],','y [Rscale],','vLOS [km/s],','Rscale = ',Rscale,' pc', file=c) for k in range(len(x)): print(x[k], y[k], vz[k], file=c) # [Rscale], [Rscale], [km/s] c.close() if not gpr.showplots: continue figure(1) subplot(111) res = (abs(x)<3)*(abs(y)<3) x = x[res]; y = y[res] # [Rscale] en = len(x) if en == 0: continue scatter(x[:en], y[:en],\ s=35, vmin=0.95, vmax=1.0, lw=0.0, alpha=0.2) # xscale('log'); yscale('log') circ_HL=Circle((0,0), radius=Rscale/Rscale, fc='None', ec='g', lw=1) circ_DM=Circle((0,0), radius=gpr.r_DM/Rscale, fc='None', ec='r', lw=1) gca().add_patch(circ_HL); gca().add_patch(circ_DM) # visible region maxr = max(np.abs(x)); mayr = max(np.abs(y)) #[rscale] width2 = max([maxr,mayr]) #[rscale] xlim([-width2,width2]); ylim([-width2,width2]) axes().set_aspect('equal') xlabel(r'$x [R_s]$'); ylabel(r'$y [R_s]$') # title(gpr.fil) savefig(gpr.get_com_png(i)) show(block=True)