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include <mach.h>
include <math.h>
include <math/curfit.h>
include <math/iminterp.h>
# ST_MAGUNIFORM -- Compute a set of magnitude values which are uniformly
# distributed between minmag and maxmag.
procedure st_maguniform (mag, nstars, minmag, maxmag, seed)
real mag[ARB] # output array of magnitudes
int nstars # number of stars
real minmag, maxmag # minimum and maximum magnitude values
long seed # seed for random number generator
int i
real urand()
begin
# Get values between 0 and 1.
do i = 1, nstars
mag[i] = urand (seed)
# Map values into data range.
call amapr (mag, mag, nstars, 0.0, 1.0, minmag, maxmag)
end
# ST_POWER -- Compute a set of magnitude values which are power law
# distributed between minmag and maxmag.
procedure st_power (mag, nstars, power, minmag, maxmag, seed)
real mag[ARB] # output array of magnitudes
int nstars # number of stars
real power # power law exponent
real minmag, maxmag # minimum and maximum magnitude values
long seed # seed for random number generator
int i
real a, urand()
begin
# Get values between 0 and 1.
a = 10. ** (power * (maxmag - minmag)) - 1
do i = 1, nstars
mag[i] = minmag + log10 (a * urand (seed) + 1) / power
end
define MIN_BANDS -6.
define MAX_BANDS 19.
define MID_BANDS 15.
# ST_BANDS -- Compute the Bahcall and Soneira luminosity function.
procedure st_bands (mag, nstars, alpha, beta, delta, mstar, minmag, maxmag,
mzero, nsample, order, seed)
real mag[ARB] # array of output magnitudes
int nstars # number of stars
real alpha, beta # Bahcall and Soneira parameters
real delta, mstar # Bahcall and Soneira parameters
real minmag, maxmag # minimum and maximum magnitude values
real mzero # zero point between relative and absolute mags.
int nsample # number of points in sampling function
int order # order of the spline fit
long seed # value of the seed
int i, ier
pointer sp, m, iprob, w, cv, asi
real dmag, magval, mtemp, temp1, temp2, imin, imax
real cveval(), asigrl(), urand()
begin
# Allocate temporary space.
call smark (sp)
call salloc (m, nsample, TY_REAL)
call salloc (iprob, nsample, TY_REAL)
call salloc (w, nsample, TY_REAL)
# Compute the probability function.
magval = max (minmag - mzero, MIN_BANDS)
dmag = (min (maxmag - mzero, MAX_BANDS) - magval) / (nsample - 1)
do i = 1, nsample {
Memr[m+i-1] = magval
if (magval > MID_BANDS)
mtemp = MID_BANDS
else
mtemp = magval - mstar
temp1 = 10.0 ** (beta * mtemp)
temp2 = (1.0 + 10.0 ** ((beta - alpha) * delta * mtemp)) **
(1.0 / delta)
Memr[iprob+i-1] = temp1 / temp2
magval = magval + dmag
}
# Integrate the probablity function.
call asiinit (asi, II_SPLINE3)
call asifit (asi, Memr[iprob], nsample)
Memr[iprob] = 0.0
do i = 2, nsample
Memr[iprob+i-1] = Memr[iprob+i-2] + asigrl (asi, real (i-1),
real (i))
call alimr (Memr[iprob], nsample, imin, imax)
call amapr (Memr[iprob], Memr[iprob], nsample, imin, imax, 0.0, 1.0)
call asifree (asi)
# Fit the inverse of the integral of the probability function.
call cvinit (cv, SPLINE3, order, 0.0, 1.0)
call cvfit (cv, Memr[iprob], Memr[m], Memr[w], nsample, WTS_UNIFORM,
ier)
# Compute the magnitudes.
if (ier == OK) {
do i = 1, nstars
mag[i] = cveval (cv, urand (seed)) + mzero
} else {
call printf ("Error computing the bands luminosity function.\n")
call amovkr ((minmag + maxmag) / 2.0, mag, nstars)
}
call cvfree (cv)
# Free space.
call sfree (sp)
end
define MIN_SALPETER -4.0
define MAX_SALPETER 16.0
# ST_SALPETER -- Compute the Salpter luminosity function.
procedure st_salpeter (mag, nstars, minmag, maxmag, mzero, nsample, order, seed)
real mag[ARB] # array of output magnitudes
int nstars # number of stars
real minmag, maxmag # minimum and maximum magnitude values
real mzero # zero point between relative and absolute mags.
int nsample # number of points in sampling function
int order # order of the spline fit
long seed # value of the seed
int i, ier
pointer sp, m, iprob, w, cv, asi
real dmag, magval, imin, imax
real cveval(), asigrl(), urand()
begin
# Allocate temporary space.
call smark (sp)
call salloc (m, nsample, TY_REAL)
call salloc (iprob, nsample, TY_REAL)
call salloc (w, nsample, TY_REAL)
# Compute the probability function.
magval = max (minmag - mzero, MIN_SALPETER)
dmag = (min (maxmag - mzero, MAX_SALPETER) - magval) / (nsample - 1)
do i = 1, nsample {
Memr[m+i-1] = magval
Memr[iprob+i-1] = 10.0 ** (-3.158375 + 1.550629e-1 * magval -
5.19388e-3 * magval ** 2)
magval = magval + dmag
}
# Integrate the probablity function.
call asiinit (asi, II_SPLINE3)
call asifit (asi, Memr[iprob], nsample)
Memr[iprob] = 0.0
do i = 2, nsample
Memr[iprob+i-1] = Memr[iprob+i-2] + asigrl (asi, real (i-1),
real (i))
call alimr (Memr[iprob], nsample, imin, imax)
call amapr (Memr[iprob], Memr[iprob], nsample, imin, imax, 0.0, 1.0)
call asifree (asi)
# Fit the inverse of the integral of the probability function.
call cvinit (cv, SPLINE3, order, 0.0, 1.0)
call cvfit (cv, Memr[iprob], Memr[m], Memr[w], nsample, WTS_UNIFORM,
ier)
# Compute the magnitudes.
if (ier == OK) {
do i = 1, nstars
mag[i] = cveval (cv, urand (seed)) + mzero
} else {
call printf ("Error computing the Salpeter luminosity function.\n")
call amovkr ((minmag + maxmag) / 2.0, mag, nstars)
}
call cvfree (cv)
# Free space.
call sfree (sp)
end
# ST_SCHECTER -- Compute the Schecter luminosity function.
procedure st_schecter (mag, nstars, alpha, mstar, minmag, maxmag, mzero,
nsample, order, seed)
real mag[ARB] # array of output magnitudes
int nstars # number of stars
real alpha, mstar # Schecter luminosity function parameters
real minmag, maxmag # minimum and maximum magnitude values
real mzero # zero point between relative and absolute mags.
int nsample # number of points in the sampling function
int order # order of the spline fit
long seed # value of the seed
int i, ier
pointer sp, m, iprob, w, cv, asi
real dmag, magval, temp, imin, imax
real cveval(), asigrl(), urand()
begin
# Allocate space for fitting.
call smark (sp)
call salloc (m, nsample, TY_REAL)
call salloc (iprob, nsample, TY_REAL)
call salloc (w, nsample, TY_REAL)
# Sample the luminosity function.
magval = minmag - mzero
dmag = (maxmag - minmag) / (nsample - 1)
do i = 1, nsample {
Memr[m+i-1] = magval
temp = 0.4 * (mstar - magval)
Memr[iprob+i-1] = 10.0 ** ((alpha + 1) * temp) *
exp (- 10.0 ** temp)
magval = magval + dmag
}
# Integrate the sampling function.
call asiinit (asi, II_SPLINE3)
call asifit (asi, Memr[iprob], nsample)
Memr[iprob] = 0.0
do i = 2, nsample
Memr[iprob+i-1] = Memr[iprob+i-2] + asigrl (asi, real (i-1),
real(i))
call alimr (Memr[iprob],nsample, imin, imax)
call amapr (Memr[iprob], Memr[iprob], nsample, imin, imax, 0.0, 1.0)
call asifree (asi)
# Fit the inverse of the integral of the probability function.
call cvinit (cv, SPLINE3, order, 0.0, 1.0)
call cvfit (cv, Memr[iprob], Memr[m], Memr[w], nsample, WTS_UNIFORM,
ier)
if (ier == OK) {
do i = 1, nstars
mag[i] = cveval (cv, urand (seed)) + mzero
} else {
call printf ("Error fitting the Schecter luminosity function.\n")
call amovkr ((minmag + maxmag) / 2.0, mag, nstars)
}
call cvfree (cv)
# Free space.
call sfree (sp)
end
# ST_LFSAMPLE -- Compute the luminosity function using a user supplied
# function.
procedure st_lfsample (smag, mprob, nlf, mag, nstars, minmag, maxmag, nsample,
order, seed)
real smag[ARB] # input array of magnitudes
real mprob[ARB] # input array of relative probabilities
int nlf # number of input points
real mag[ARB] # output magnitude array
int nstars # number of stars
real minmag, maxmag # minimum and maximum magnitude values
int nsample # number of sample points
int order # order of the spline fit
long seed # value of the seed
int npts, i, ier
pointer sp, m, w, iprob, cv, asi
real mval, dm, sfmin, sfmax, imin, imax
real cveval(), asigrl(), urand()
begin
# Allocate space for fitting.
npts = max (nlf, nsample)
call smark (sp)
call salloc (m, nsample, TY_REAL)
call salloc (iprob, nsample, TY_REAL)
call salloc (w, npts, TY_REAL)
# Smooth the relative probability function.
call alimr (smag, nlf, sfmin, sfmax)
call cvinit (cv, SPLINE3, max (1, nlf / 4), sfmin, sfmax)
call cvfit (cv, smag, mprob, Memr[w], nlf, WTS_UNIFORM, ier)
# Evaluate the smoothed function at equal intervals in r.
if (ier == OK) {
mval = max (minmag, sfmin)
dm = (min (maxmag, sfmax) - mval) / (nsample - 1)
do i = 1, nsample {
Memr[m+i-1] = mval
Memr[iprob+i-1] = cveval (cv, mval)
mval = mval + dm
}
call cvfree (cv)
} else {
call printf ("Error smoothing user luminosity function.\n")
call amovkr ((minmag + maxmag) / 2.0, mag, nstars)
call cvfree (cv)
call sfree (sp)
}
# Evaluate the integral.
call asiinit (asi, II_SPLINE3)
call asifit (asi, Memr[iprob], nsample)
Memr[iprob] = 0.0
do i = 2, nsample
Memr[iprob+i-1] = Memr[iprob+i-2] + asigrl (asi, real(i-1), real(i))
call alimr (Memr[iprob], nsample, imin, imax)
call amapr (Memr[iprob], Memr[iprob], nsample, imin, imax, 0.0, 1.0)
call asifree (asi)
# Fit the inverse of the integral of the probability function.
call cvinit (cv, SPLINE3, order, 0.0, 1.0)
call cvfit (cv, Memr[iprob], Memr[m], Memr[w], nsample, WTS_UNIFORM,
ier)
# Sample the computed function.
if (ier == OK) {
do i = 1, nstars
mag[i] = cveval (cv, urand (seed))
} else {
call printf ("Error computing the user luminosity function.\n")
call amovkr ((minmag + maxmag) / 2.0, mag, nstars)
}
call cvfree (cv)
# Free space.
call sfree (sp)
end
|
