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""" A program to recreate the average spectrum fit for ngc 5548 in Magdziarz et al 1998 """
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import math
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import scipy
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import numpy
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PI=3.14159265358979323846;
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PLANCK_CONST=4.135668e-15; # in eV * s
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BOLTZMANN_CONST=0.00008617332385; # in eV / K
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RYDBERG_CONST=1.0973731568539e7; # in 1 / m
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RYDBERG_UNIT_EV=13.60569252; # in eV
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RYDBERG_UNIT_ANGSTROM=1e10/RYDBERG_CONST; # in A
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CONT_MIN_ENERGY_keV = 1e-3;
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CONT_MAX_ENERGY_keV = 1e2;
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CONT_MIN_X = math.log10(CONT_MIN_ENERGY_keV);
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CONT_MAX_X = math.log10(CONT_MAX_ENERGY_keV);
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CONT_WIDTH_X = CONT_MAX_X - CONT_MIN_X;
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CONT_MIN_VAL = 1e-35;
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""" Cloudy's continuum domain, for reference, version 13.3 """
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CLOUDY_EMM = 1.001e-8; # in Rydberg
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CLOUDY_EGAMRY = 7.354e6; # in Rydberg
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CLOUDY_MIN_EV = CLOUDY_EMM*RYDBERG_UNIT_EV;
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CLOUDY_MAX_EV = CLOUDY_EGAMRY*RYDBERG_UNIT_EV;
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IN_EV_2500A = 12398.41929/2500;
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""" Curve Parameters from MNRAS 301 Mdagziarz 1998 """
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α_HC = 0.86
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# Soft Excess
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α_SE_sec2_1 = 1.1 # Quoted consistent with Korista 1995 and Marshall 1997
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kT_SE_sec2_1 = .56
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# Comtonization fitted to ROSAT data
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# ξ =
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# OSSE data fit
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α_HC = 0.86
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R = 0.96
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E_cutoff_HC = .120 # keV, phase 1
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F_HC = .38 # keV cm⁻² s⁻¹
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# E_cutoff_HC = 118 # keV, phase 3
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# F_HC = .61 # keV cm⁻² s⁻¹
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# Section 3.3 values
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kT_SE_sec3_2 = .270 # keV
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α_SE_sec3_2 = 1.13
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kT_HC_sec3_2 = 55 # keV
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α_HC_sec3_2 = .76
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def hν_at(i,n):
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""" returns hν coordinate of bin i out of n """
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relative_coord = i/n
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x_coord = relative_coord*CONT_WIDTH_X + CONT_MIN_X;
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return math.pow(10,x_coord);
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def histogram_table(n):
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output = []
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# max=0,min=1
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indices = range(n)
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for i in range(0,n):
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hν = hν_at(i,n);
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value = (hν,sed(hν))
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# if (output.value[hν] > max) max = output.value[hν];
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# if (output.value[hν] < min) min = output.value[hν];
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output.append(value)
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# Add a final point at 100 KeV
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hν = 1e2;
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value = sed(hν);
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output.append((hν,value))
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return output;
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def sed(hν):
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magnitude=0.0;
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magnitude += powlaw_cutoff(hν,α_HC,E_cutoff_HC,1) # OSSE data fit
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# magnitude += powlaw_cutoff(hν,α_SE_sec2_1,kT_SE_sec2_1,1)
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# magnitude += powlaw_cutoff(hν,α_SE_sec3_2,kT_SE_sec3_2,1)
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#magnitude += compt_approx(hν,-1.3,.345,.0034,1)
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if magnitude < CONT_MIN_VAL: return CONT_MIN_VAL
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# magnitude = CONT_MIN_VAL;
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return magnitude;
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def powlaw_cutoff(hν,α,E_cutoff,norm):
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low_cutoff = .1
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resultant = norm
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resultant *= math.exp(-hν/E_cutoff)
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#resultant *= math.exp(-low_cutoff/hν)
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resultant *= math.pow(hν,1+α)
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return resultant
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def compt_approx(hν,α,kT_keV,cutoff_keV,norm):
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magnitude = math.pow(hν,(1+α))
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magnitude *= math.exp(-(hν/kT_keV))
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magnitude *= math.exp(-(cutoff_keV/hν))
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magnitude *= norm
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return magnitude
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test_table = histogram_table(500)
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for pair in test_table:
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print (pair[0],pair[1])
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#!/usr/bin/env
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use strict; use warnings; use 5.010; use utf8;
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use IO::Handle;
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use File::Temp "tempfile";
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open(my $spectrum_file,"spectrum");
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# my @x = ();
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# my @y = ();
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# my($xi,$yi);
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# ($xi,$yi)=(0,0);
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# while(my $line = <$spectrum_file>) {
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# $line =~ /([0-9\.]+)\s+([0-9\.]+)/;
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# ($x[$xi],$y[$yi])=($1,$2);
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# $xi++; $yi++;
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# }
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# while (my $line = <$spectrum_file>) {
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# print $line;
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# }
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my($T,$N) = tempfile("spectrum-XXXXXXXX", "UNLINK", 1);
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# for my $t (100..500)
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# { say $T $t*sin($t*0.1), " ", $t*cos($t*0.1); }
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while (my $_ = <$spectrum_file>) {
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chomp;
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say $T $_;
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}
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close $T;
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open my $P, "|-", "gnuplot" or die;
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printflush $P qq[
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unset key
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set logscale xy
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set xrange [.001,1000]
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plot "$N"
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];
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<STDIN>;
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close $P;
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# sub histogram_table(n) {
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# my @output = ()
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# my @x = ()
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# my @y = ()
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# output.append(x)
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# output.append(y)
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# max=0
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# min=1
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# indices = range(n)
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# for i in range(0,n):
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# hνᗉkeVᗆ = hνᗉkeVᗆ_at(i,n);
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# x.append(hνᗉkeVᗆ)
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# value = total(hνᗉkeVᗆ,1,1,1)
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# y.append(value)
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# if (value > max): max = value;
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# if (value < min): min = value;
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# # Add a final point at 100 KeV
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# hνᗉkeVᗆ = 1e2;
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# x.append(hνᗉkeVᗆ)
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# y.append(total(hνᗉkeVᗆ,1,1,1))
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# output.append(x)
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# output.append(y)
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# return output;
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# }
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close($spectrum_file)
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__END__
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""" A program to recreate the average spectrum fit for ngc 5548 in Magdziarz et al 1998 """
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import math
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import scipy
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import numpy
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import matplotlib.pyplot as plt
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PI=3.14159265358979323846;
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PLANCK_CONST=4.135668e-15; # in eV * s
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# Boltzman Constant
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kᵦᗉeVᓯKᗆ=0.00008617332385; # in eV / K
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kᵦᗉkeVᓯKᗆ=kᵦᗉeVᓯKᗆ/1000;
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RYDBERG_CONST=1.0973731568539e7; # in 1 / m
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RYDBERG_UNITᗉeVᗆ=13.60569252; # in eV
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RYDBERG_UNIT_ANGSTROM=1e10/RYDBERG_CONST; # in A
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CONT_MIN_ENERGYᗉkeVᗆ = 1e-3;
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CONT_MAX_ENERGYᗉkeVᗆ = 1e2;
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CONT_MIN_XᗉkeVᗆ = math.log10(CONT_MIN_ENERGYᗉkeVᗆ);
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CONT_MAX_XᗉkeVᗆ = math.log10(CONT_MAX_ENERGYᗉkeVᗆ);
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CONT_WIDTH_XᗉkeVᗆ = CONT_MAX_XᗉkeVᗆ - CONT_MIN_XᗉkeVᗆ;
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CONT_MIN_VAL = 1e-35;
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""" Cloudy's continuum domain, for reference, version 13.3 """
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CLOUDY_EMMᗉRydbergᗆ = 1.001e-8; # in Rydberg
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CLOUDY_EγᗉRydbergᗆ = 7.354e6; # in Rydberg
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CLOUDY_MINᗉeVᗆ= CLOUDY_EMMᗉRydbergᗆ*RYDBERG_UNITᗉeVᗆ;
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CLOUDY_MAXᗉeVᗆ= CLOUDY_EγᗉRydbergᗆ*RYDBERG_UNITᗉeVᗆ;
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hcᓯ2500ᗉeVᗆ = 12398.41929/2500;
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""" Returns the SED as a histrogram (list of floats) with n bins"""
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# def histogram_table(n):
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# output = []
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# # max=0,min=1
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# indices = range(n)
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# for i in range(0,n):
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# hνᗉkeVᗆ = hνᗉkeVᗆ_at(i,n);
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# value = (hνᗉkeVᗆ,sum(hνᗉkeVᗆ))
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# # if (output.value[hνᗉkeVᗆ] > max) max = output.value[hνᗉkeVᗆ];
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# # if (output.value[hνᗉkeVᗆ] < min) min = output.value[hνᗉkeVᗆ];
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# output.append(value)
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#
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# # Add a final point at 100 KeV
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# hνᗉkeVᗆ = 1e2;
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# value = sum(hνᗉkeVᗆ);
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# output.append((hνᗉkeVᗆ,value))
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# return output;
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def histogram_table(n):
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output = []
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x = []
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y = []
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output.append(x)
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output.append(y)
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max=0
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min=1
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indices = range(n)
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for i in range(0,n):
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hνᗉkeVᗆ = hνᗉkeVᗆ_at(i,n);
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x.append(hνᗉkeVᗆ)
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value = total(hνᗉkeVᗆ,1,1,1)
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y.append(value)
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if (value > max): max = value;
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if (value < min): min = value;
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# Add a final point at 100 KeV
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hνᗉkeVᗆ = 1e2;
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x.append(hνᗉkeVᗆ)
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y.append(total(hνᗉkeVᗆ,1,1,1))
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output.append(x)
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output.append(y)
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return output;
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# Sums 2 power-law cutoff functions and the disk contribution at energy coordinate hνᗉkeVᗆ in keV.
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# Coefficients should be equal to functions at hνᗉkeVᗆ = ?? keV
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def total(hνᗉkeVᗆ,C1=1.0,C2=1.0,C3=1.0):
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magnitude=0.0
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# accretion disk blackbody continuum has α=1/3
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magnitude += powlaw_cutoff(hνᗉkeVᗆ,1/3,3e3,6e6,C1)
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magnitude += powlaw_cutoff(hνᗉkeVᗆ,-1.1,.01/kᵦᗉkeVᓯKᗆ,1/kᵦᗉkeVᓯKᗆ,C2)
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magnitude += powlaw_cutoff(hνᗉkeVᗆ,-0.8,.01/kᵦᗉkeVᓯKᗆ,100/kᵦᗉkeVᓯKᗆ,C3)
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if magnitude < CONT_MIN_VAL: return CONT_MIN_VAL
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# print (magnitude)
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return magnitude;
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def hνᗉkeVᗆ_at(i,n):
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""" returns hνᗉkeVᗆ coordinate in keV of bin i out of n """
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relative_coord = i/n
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hν = relative_coord*CONT_WIDTH_XᗉkeVᗆ + CONT_MIN_XᗉkeVᗆ
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return math.pow(10,hν)
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def powlaw_cutoff(hνᗉkeVᗆ,α,T1,T2,coefficient):
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resultant = coefficient
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resultant *= math.exp(-hνᗉkeVᗆ/(kᵦᗉkeVᓯKᗆ*T1))
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resultant *= math.exp(-kᵦᗉkeVᓯKᗆ*T2/hνᗉkeVᗆ)
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resultant *= math.pow(hνᗉkeVᗆ,1+α)
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#print(math.exp(-hνᗉkeVᗆ/(kᵦᗉkeVᓯKᗆ*T1)))
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#print(-hνᗉkeVᗆ/(kᵦᗉkeVᓯKᗆ*T1))
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#print(math.exp(-kᵦᗉkeVᓯKᗆ*T2/hνᗉkeVᗆ))
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#print(math.pow(hνᗉkeVᗆ,1+α))
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#print(resultant)
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#print("──────────────────────────────────────────────────────────────────────────")
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return resultant
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test_table = histogram_table(500)
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fig = plt.figure()
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sed_plot = fig.add_subplot(111)
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sed_plot.set_xscale("log")
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sed_plot.set_yscale("log")
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sed_plot.set_xlim(CONT_MIN_XᗉkeVᗆ,CONT_MAX_XᗉkeVᗆ)
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sed_plot.set_ylim(1e-1,1e2)
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sed_plot.set_aspect(1)
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sed_plot.set_title("log-log plot of SED")
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sed_plot.plot(test_table[0],test_table[1])
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fig.show()
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#for pair in test_table:
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# print (pair[0],pair[1])
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# index=0
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# for energy in test_table[0]:
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# print (energy,test_table[1][index])
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# index += 1
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#ifndef sed_hpp
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#define sed_hpp
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#include "agn.hpp"
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namespace agn {
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// Continuum domain, step size constant in log space
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const double CONT_MIN_ENERGY=1e-2; // eV
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const double CONT_MAX_ENERGY=1e5; // eV
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const double CONT_MIN_X=log10(CONT_MIN_ENERGY);
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const double CONT_MAX_X=log10(CONT_MAX_ENERGY);
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const double CONT_WIDTH_X=CONT_MAX_X - CONT_MIN_X;
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const double CONT_MIN_VAL=1e-35;
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// Cloudy's continuum domain, for reference, version 13.3
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const double CLOUDY_EMM = 1.001e-8; // in Rydberg
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const double CLOUDY_EGAMRY = 7.354e6; // in Rydberg
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const double CLOUDY_MIN_EV=CLOUDY_EMM*RYDBERG_UNIT_EV;
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const double CLOUDY_MAX_EV=CLOUDY_EGAMRY*RYDBERG_UNIT_EV;
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const double IN_EV_2500A=12398.41929/2500;
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// Pulled from cloudy 17.00, first version
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const double emm = 1.001e-8f;
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const double egamry = 7.354e6f;
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// SEDs are represented by 2d histogram tables.
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struct sed_table {
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std::string header;
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table_1d value;
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};
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class sed_pow_law {
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public:
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// Continuum output functions
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// Returns histogram with n bins evenly space in log space
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sed_table histogram_table(int n);
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// Argument is photon energy in eV
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double sed(double hnu);
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double eval_uv(double hnu);
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double eval_xray(double hnu);
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// Determined differently to be of use as the
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// xray coefficient.
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double SED_at_2KeV();
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// Continuum shape arguments
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double _T; //TCut
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double _alpha_ox;
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double _alpha_x;
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double _alpha_uv;
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double _cutoff_uv_rydberg;
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double _cutoff_xray_rydberg;
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double _log_radius_in_cm;
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// Derived values
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double _cutoff_uv_eV; // IRCut
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double _cutoff_xray_eV; // lowend_cutoff
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double _radius_in_cm;
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double _radius_in_cm_squared;
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double _scaling_factor;
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double _xray_coefficient;
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sed_pow_law (
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double T,
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double alpha_ox,
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double alpha_x,
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double alpha_uv,
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double cutoff_uv_rydberg,
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double cutoff_xray_rydberg,
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double log_radius_in_cm,
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double scaling_factor = 1.0
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// EL[e] model scaling factor
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// double scaling_factor = 1.39666E44
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);
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};
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// Returns coord in eV for given relative coord.
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double hnu_at(int i,int n);
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// Takes an SED table as input and returns a string with format:
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// '<h*nu>\t<flux>\n' for each energy-flux pair
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std::string format_sed_table(sed_table table);
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// Read continuum from file with '<h*nu>\t<flux>\n' formatting.
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// Will ignore up to 1 header.
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sed_table read_sed_table(std::ifstream& table_file);
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// Does the same but converts hnu from rydberg to eV.
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sed_table read_and_convert_sed_table(std::ifstream& table_file);
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// Cloudy takes the SED density as input. This function outputs
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// the corresponding SED table's SED density function in the form
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// of a cloudy input script "interpolate" command.
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std::string cloudy_interpolate_str(sed_table SED);
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} // end namespace agn
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|
||||
|
||||
|
||||
|
||||
agn::sed_table agn::read_sed_table(std::ifstream& table_file) {
|
||||
sed_table resultant;
|
||||
std::string scratch;
|
||||
int current_line=0;
|
||||
double hnu;
|
||||
std::getline(table_file,scratch);
|
||||
if(!isdigit(scratch[0])) {
|
||||
resultant.header = scratch;
|
||||
current_line++;
|
||||
}
|
||||
while(!table_file.eof()) {
|
||||
table_file >> hnu;
|
||||
table_file >> resultant.value[hnu];
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
agn::sed_table agn::read_and_convert_sed_table(std::ifstream& table_file) {
|
||||
sed_table resultant;
|
||||
std::string scratch;
|
||||
int current_line=0;
|
||||
double hnu_in_ryd,hnu_in_ev,value;
|
||||
std::getline(table_file,scratch);
|
||||
if(!isdigit(scratch[0])) {
|
||||
resultant.header = scratch;
|
||||
current_line++;
|
||||
}
|
||||
int c=0;
|
||||
while(!table_file.eof()) {
|
||||
//std::cout << c;
|
||||
table_file >> hnu_in_ryd;
|
||||
hnu_in_ev = hnu_in_ryd*agn::RYDBERG_UNIT_EV;
|
||||
table_file >> resultant.value[hnu_in_ev];
|
||||
getline(table_file,scratch);
|
||||
}
|
||||
}
|
||||
|
||||
std::string agn::format_sed_table(agn::sed_table table) {
|
||||
std::stringstream output;
|
||||
if (!table.header.empty()) output << table.header;
|
||||
output << std::setprecision(5);
|
||||
agn::table2d::iterator table_iterator;
|
||||
table_iterator=table.value.begin();
|
||||
while(table_iterator != table.value.end()) {
|
||||
output
|
||||
<< std::fixed
|
||||
<< table_iterator->first
|
||||
<< "\t"
|
||||
<< std::scientific
|
||||
<< table_iterator->second
|
||||
<< "\n";
|
||||
table_iterator++;
|
||||
}
|
||||
return output.str();
|
||||
}
|
||||
|
||||
std::string agn::cloudy_interpolate_str(agn::sed_table table) {
|
||||
std::stringstream output;
|
||||
agn::table2d::iterator table_iterator = table.value.begin();
|
||||
// Lead in to uv bump at slope=2 in log(energy [rydberg]) space
|
||||
double energy_in_rydbergs = table_iterator->first
|
||||
/ agn::RYDBERG_UNIT_EV;
|
||||
double log_uv_bump_start = log10( energy_in_rydbergs );
|
||||
double log_lowest_value = log10(table_iterator->second
|
||||
/ table_iterator->first);
|
||||
double log_min_energy = log10(agn::CLOUDY_EMM)
|
||||
- 1;
|
||||
double log_SED_density = log_lowest_value
|
||||
- 2*(log_uv_bump_start
|
||||
- log_min_energy);
|
||||
if ( log_SED_density < 1e-36 ) log_SED_density = 1e-36;
|
||||
output
|
||||
<< "interpolate ("
|
||||
<< pow(10,log_min_energy)
|
||||
<< " "
|
||||
<< log_SED_density
|
||||
<< ")";
|
||||
int count=0;
|
||||
|
||||
while(table_iterator != table.value.end()) {
|
||||
energy_in_rydbergs = table_iterator->first
|
||||
/ agn::RYDBERG_UNIT_EV;
|
||||
double log_SED_density = log10( table_iterator->second
|
||||
/ table_iterator->first);
|
||||
if ((count%5)==0) output << "\n" << "continue ";
|
||||
else output << " ";
|
||||
output
|
||||
<< "("
|
||||
<< energy_in_rydbergs
|
||||
<< " "
|
||||
<< log_SED_density
|
||||
<< ")";
|
||||
count++;
|
||||
table_iterator++;
|
||||
}
|
||||
// Trail off at slope=-2 in log(energy [rydberg]) space
|
||||
while ( energy_in_rydbergs < agn::CLOUDY_EGAMRY ) {
|
||||
double log_energy = log10(energy_in_rydbergs);
|
||||
energy_in_rydbergs = pow(10,log_energy+1);
|
||||
log_SED_density -= 2;
|
||||
output
|
||||
<< "("
|
||||
<< energy_in_rydbergs
|
||||
<< " "
|
||||
<< log_SED_density
|
||||
<< ")";
|
||||
}
|
||||
return output.str();
|
||||
}
|
||||
|
||||
|
||||
double agn::hnu_at(int i,int n) {
|
||||
double relative_coord=(double)(i)/n;
|
||||
double x_coord = relative_coord*CONT_WIDTH_X + CONT_MIN_X;
|
||||
return pow(10,x_coord);
|
||||
}
|
||||
|
||||
agn::sed_table agn::sed_pow_law::histogram_table(int n){
|
||||
agn::sed_table output;
|
||||
double max=0,min=1,hnu;
|
||||
for(int i=0; i<n; i++) {
|
||||
hnu = hnu_at(i,n);
|
||||
output.value[hnu] = this->sed(hnu);
|
||||
if (output.value[hnu] > max) max = output.value[hnu];
|
||||
if (output.value[hnu] < min) min = output.value[hnu];
|
||||
}
|
||||
// Add a final point at 100 KeV
|
||||
hnu = 1e5;
|
||||
output.value[hnu] = this->sed(hnu);
|
||||
return output;
|
||||
}
|
||||
|
||||
double agn::sed_pow_law::sed(double hnu) {
|
||||
double magnitude=0.0;
|
||||
magnitude += this->eval_uv(hnu);
|
||||
magnitude += this->eval_xray(hnu);
|
||||
if (magnitude < agn::CONT_MIN_VAL) return agn::CONT_MIN_VAL;
|
||||
return magnitude;
|
||||
}
|
||||
double agn::sed_pow_law::eval_uv(double hnu) {
|
||||
double bigbump_kT = _T
|
||||
* agn::BOLTZMANN_CONST;
|
||||
double magnitude = pow(hnu,(1+_alpha_uv))
|
||||
* exp(-(hnu)/bigbump_kT)
|
||||
* exp(-(_cutoff_uv_eV/hnu))
|
||||
* _scaling_factor;
|
||||
if (magnitude < agn::CONT_MIN_VAL) return agn::CONT_MIN_VAL;
|
||||
return magnitude;
|
||||
}
|
||||
double agn::sed_pow_law::eval_xray(double hnu) {
|
||||
return _xray_coefficient
|
||||
* pow(hnu/2000,1+_alpha_x)
|
||||
* exp(-_cutoff_xray_eV/hnu)
|
||||
* _scaling_factor;
|
||||
}
|
||||
|
||||
double agn::sed_pow_law::SED_at_2KeV() {
|
||||
double ELe_at_2500A_no_scale = eval_uv(IN_EV_2500A)
|
||||
/ _scaling_factor;
|
||||
double energy_ratio = 2000/IN_EV_2500A;
|
||||
// Returns EL[e] at 2 KeV
|
||||
return ELe_at_2500A_no_scale
|
||||
* pow(energy_ratio,_alpha_ox + 1);
|
||||
}
|
||||
|
||||
agn::sed_pow_law::sed_pow_law (
|
||||
double T,
|
||||
double alpha_ox,
|
||||
double alpha_x,
|
||||
double alpha_uv,
|
||||
double cutoff_uv_rydberg,
|
||||
double cutoff_xray_rydberg,
|
||||
double log_radius_in_cm,
|
||||
double scaling_factor
|
||||
):
|
||||
_T(T),
|
||||
_alpha_ox(alpha_ox),
|
||||
_alpha_x(alpha_x),
|
||||
_alpha_uv(alpha_uv),
|
||||
_cutoff_uv_rydberg(cutoff_uv_rydberg),
|
||||
_cutoff_xray_rydberg(cutoff_xray_rydberg),
|
||||
_log_radius_in_cm(log_radius_in_cm),
|
||||
_scaling_factor(scaling_factor)
|
||||
{
|
||||
_cutoff_uv_eV = cutoff_uv_rydberg*RYDBERG_UNIT_EV;
|
||||
_cutoff_xray_eV = cutoff_xray_rydberg*RYDBERG_UNIT_EV;
|
||||
_radius_in_cm = pow(10,log_radius_in_cm);
|
||||
_radius_in_cm_squared = _radius_in_cm*_radius_in_cm;
|
||||
_xray_coefficient = agn::sed_pow_law::SED_at_2KeV();
|
||||
}
|
||||
|
||||
|
||||
|
||||
#endif
|
@ -1,501 +0,0 @@
|
||||
0.001 1e-35
|
||||
0.0010232929922807535 1e-35
|
||||
0.0010471285480508996 1e-35
|
||||
0.001071519305237606 1e-35
|
||||
0.0010964781961431851 1e-35
|
||||
0.001122018454301963 1e-35
|
||||
0.0011481536214968829 1e-35
|
||||
0.001174897554939529 1e-35
|
||||
0.001202264434617413 1e-35
|
||||
0.0012302687708123812 1e-35
|
||||
0.0012589254117941675 1e-35
|
||||
0.0012882495516931337 1e-35
|
||||
0.0013182567385564075 1e-35
|
||||
0.0013489628825916532 1e-35
|
||||
0.0013803842646028853 1e-35
|
||||
0.001412537544622754 1e-35
|
||||
0.001445439770745928 1e-35
|
||||
0.0014791083881682072 1e-35
|
||||
0.0015135612484362087 1e-35
|
||||
0.0015488166189124811 1e-35
|
||||
0.001584893192461114 1e-35
|
||||
0.0016218100973589297 1e-35
|
||||
0.0016595869074375598 1e-35
|
||||
0.0016982436524617442 1e-35
|
||||
0.0017378008287493763 1e-35
|
||||
0.0017782794100389228 1e-35
|
||||
0.0018197008586099826 1e-35
|
||||
0.0018620871366628676 1e-35
|
||||
0.0019054607179632482 1e-35
|
||||
0.0019498445997580456 1e-35
|
||||
0.001995262314968879 1e-35
|
||||
0.0020417379446695297 1e-35
|
||||
0.0020892961308540386 1e-35
|
||||
0.0021379620895022326 1e-35
|
||||
0.002187761623949552 1e-35
|
||||
0.00223872113856834 1e-35
|
||||
0.0022908676527677724 1e-35
|
||||
0.0023442288153199225 1e-35
|
||||
0.00239883291901949 1e-35
|
||||
0.002454708915685031 1e-35
|
||||
0.0025118864315095794 1e-35
|
||||
0.0025703957827688645 1e-35
|
||||
0.0026302679918953813 1e-35
|
||||
0.002691534803926914 1e-35
|
||||
0.002754228703338166 1e-35
|
||||
0.002818382931264455 1e-35
|
||||
0.0028840315031266055 1e-35
|
||||
0.0029512092266663842 1e-35
|
||||
0.003019951720402016 1e-35
|
||||
0.003090295432513592 1e-35
|
||||
0.0031622776601683794 1e-35
|
||||
0.003235936569296281 1e-35
|
||||
0.003311311214825911 1e-35
|
||||
0.0033884415613920273 1e-35
|
||||
0.0034673685045253167 1e-35
|
||||
0.0035481338923357532 1e-35
|
||||
0.003630780547701014 1e-35
|
||||
0.003715352290971728 1e-35
|
||||
0.0038018939632056127 1e-35
|
||||
0.003890451449942805 1e-35
|
||||
0.003981071705534973 1e-35
|
||||
0.004073802778041126 1e-35
|
||||
0.004168693834703355 1e-35
|
||||
0.004265795188015926 1e-35
|
||||
0.004365158322401661 1e-35
|
||||
0.0044668359215096305 1e-35
|
||||
0.004570881896148752 1e-35
|
||||
0.004677351412871981 1e-35
|
||||
0.004786300923226385 1e-35
|
||||
0.004897788193684461 1e-35
|
||||
0.005011872336272725 1e-35
|
||||
0.005128613839913648 1e-35
|
||||
0.005248074602497723 1e-35
|
||||
0.005370317963702527 1e-35
|
||||
0.005495408738576248 1e-35
|
||||
0.005623413251903491 1e-35
|
||||
0.005754399373371567 1e-35
|
||||
0.00588843655355589 1e-35
|
||||
0.0060255958607435805 1e-35
|
||||
0.006165950018614822 1e-35
|
||||
0.00630957344480193 1e-35
|
||||
0.006456542290346556 1e-35
|
||||
0.006606934480075964 1e-35
|
||||
0.006760829753919818 1e-35
|
||||
0.006918309709189363 1e-35
|
||||
0.00707945784384138 1e-35
|
||||
0.007244359600749898 1e-35
|
||||
0.007413102413009177 1e-35
|
||||
0.007585775750291836 1e-35
|
||||
0.007762471166286911 1e-35
|
||||
0.007943282347242814 1e-35
|
||||
0.008128305161640995 1e-35
|
||||
0.008317637711026709 1e-35
|
||||
0.008511380382023759 1e-35
|
||||
0.008709635899560805 1e-35
|
||||
0.008912509381337459 1e-35
|
||||
0.009120108393559097 1e-35
|
||||
0.009332543007969905 1e-35
|
||||
0.009549925860214359 1e-35
|
||||
0.009772372209558112 1e-35
|
||||
0.01 1e-35
|
||||
0.010232929922807542 1e-35
|
||||
0.010471285480508996 1e-35
|
||||
0.010715193052376065 1e-35
|
||||
0.01096478196143185 1e-35
|
||||
0.011220184543019636 1e-35
|
||||
0.01148153621496883 1e-35
|
||||
0.011748975549395297 1e-35
|
||||
0.012022644346174132 1e-35
|
||||
0.012302687708123818 1e-35
|
||||
0.012589254117941675 1.3996479694365586e-35
|
||||
0.012882495516931342 8.270588387595168e-35
|
||||
0.013182567385564075 4.686869718494287e-34
|
||||
0.01348962882591654 2.5495183758866658e-33
|
||||
0.013803842646028852 1.3324555672404638e-32
|
||||
0.014125375446227547 6.69650156124801e-32
|
||||
0.01445439770745928 3.2390389883990527e-31
|
||||
0.01479108388168208 1.5091097908171951e-30
|
||||
0.01513561248436208 6.77823828047859e-30
|
||||
0.01548816618912481 2.937315521425098e-29
|
||||
0.015848931924611134 1.229023903677627e-28
|
||||
0.0162181009735893 4.96908168781093e-28
|
||||
0.016595869074375606 1.9427648570657324e-27
|
||||
0.016982436524617443 7.35033495487743e-27
|
||||
0.017378008287493755 2.6930458296420804e-26
|
||||
0.01778279410038923 9.561578992892138e-26
|
||||
0.018197008586099836 3.291978943924586e-25
|
||||
0.018620871366628676 1.0997937687327044e-24
|
||||
0.019054607179632473 3.567553707485399e-24
|
||||
0.019498445997580455 1.1243624803203092e-23
|
||||
0.0199526231496888 3.444955292838125e-23
|
||||
0.020417379446695295 1.0267403190419972e-22
|
||||
0.020892961308540396 2.978443886444978e-22
|
||||
0.021379620895022326 8.414257076941903e-22
|
||||
0.02187761623949553 2.316217559426091e-21
|
||||
0.0223872113856834 6.216040568787896e-21
|
||||
0.022908676527677734 1.6272230934438987e-20
|
||||
0.023442288153199226 4.157203175385443e-20
|
||||
0.02398832919019491 1.037033554390446e-19
|
||||
0.02454708915685031 2.527160323920646e-19
|
||||
0.025118864315095808 6.019034683630338e-19
|
||||
0.025703957827688632 1.4017653709182508e-18
|
||||
0.026302679918953815 3.1935479048228853e-18
|
||||
0.026915348039269153 7.120513330808699e-18
|
||||
0.02754228703338166 1.5544405019374462e-17
|
||||
0.028183829312644536 3.323855537770272e-17
|
||||
0.028840315031266057 6.964516155528575e-17
|
||||
0.029512092266663854 1.4305116343583793e-16
|
||||
0.03019951720402016 2.881441107018318e-16
|
||||
0.030902954325135904 5.693873153980269e-16
|
||||
0.03162277660168379 1.1041876398087576e-15
|
||||
0.03235936569296283 2.1021711242266972e-15
|
||||
0.03311311214825911 3.930358212034185e-15
|
||||
0.033884415613920256 7.219044298575817e-15
|
||||
0.034673685045253165 1.3030207068668043e-14
|
||||
0.03548133892335755 2.311976844535101e-14
|
||||
0.03630780547701014 4.033748022821911e-14
|
||||
0.03715352290971726 6.922386914347113e-14
|
||||
0.038018939632056124 1.1688255134455832e-13
|
||||
0.03890451449942807 1.942277841488844e-13
|
||||
0.039810717055349734 3.177301022377131e-13
|
||||
0.04073802778041128 5.118050485325646e-13
|
||||
0.04168693834703355 8.120079354581276e-13
|
||||
0.04265795188015928 1.2692065385883532e-12
|
||||
0.04365158322401661 1.9548976487697138e-12
|
||||
0.04466835921509633 2.967805516254491e-12
|
||||
0.04570881896148752 4.441843010381999e-12
|
||||
0.046773514128719836 6.555422864803426e-12
|
||||
0.04786300923226385 9.541971463194307e-12
|
||||
0.04897788193684464 1.3701319235101568e-11
|
||||
0.05011872336272725 1.9411422705668308e-11
|
||||
0.05128613839913651 2.713962278441181e-11
|
||||
0.05248074602497723 3.745237873994417e-11
|
||||
0.05370317963702527 5.1022162257801555e-11
|
||||
0.05495408738576243 6.862998325765646e-11
|
||||
0.05623413251903491 9.116188665618086e-11
|
||||
0.057543993733715666 1.1959774736453685e-10
|
||||
0.0588843655355589 1.5499083779831052e-10
|
||||
0.060255958607435746 1.984369787187912e-10
|
||||
0.06165950018614822 2.510326273124928e-10
|
||||
0.0630957344480193 3.1382200360394453e-10
|
||||
0.06456542290346556 3.8773428111463193e-10
|
||||
0.06606934480075957 4.735129171793244e-10
|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
15.135612484362072 1e-35
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
48.97788193684456 1e-35
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||||
50.118723362727145 1e-35
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||||
51.28613839913648 1e-35
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
63.0957344480193 1e-35
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||||
64.56542290346549 1e-35
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||||
66.06934480075964 1e-35
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||||
67.60829753919819 1e-35
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||||
69.18309709189363 1e-35
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||||
70.79457843841374 1e-35
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||||
72.44359600749891 1e-35
|
||||
74.13102413009177 1e-35
|
||||
75.85775750291836 1e-35
|
||||
77.62471166286912 1e-35
|
||||
79.43282347242821 1e-35
|
||||
81.28305161640995 1e-35
|
||||
83.17637711026708 1e-35
|
||||
85.11380382023759 1e-35
|
||||
87.09635899560796 1e-35
|
||||
89.12509381337459 1e-35
|
||||
91.20108393559097 1e-35
|
||||
93.32543007969905 1e-35
|
||||
95.49925860214368 1e-35
|
||||
97.72372209558111 1e-35
|
||||
100.0 1e-35
|
Loading…
Reference in New Issue
Block a user