def eval_s(self, sensor_value):
h = self.T / (self.Nx - 1)
sensor_value = sensor_value.reshape((self.M, self.Nx))
tmp = 1 / sensor_value # exp(-b)
v1 = trapz(tmp, h)
tmp *= self.f * np.linspace(0, self.T, num=self.Nx)
v2 = trapz(tmp, h)
C = 1 / v1[:, -1:] * v2[:, -1:]
v = C * v1 - v2
return np.mean(v, axis=0)
def eval_s_path(self, bases, rv):
bases = bases.reshape((-1, self.Nx))
b = np.dot(rv, bases)
h = self.T / (self.Nx - 1)
tmp = np.exp(-b)
v1 = trapz(tmp, h)
tmp *= self.f * np.linspace(0, self.T, num=self.Nx)
v2 = trapz(tmp, h)
C = 1 / v1[-1] * v2[-1]
v = C * v1 - v2
return v
def projectCl(lvec,P,D,dNdz,z,growthFac=None):
"""
project C_l's given a power spectrum class P (Camb or
BBKS) and Distance class D together
arguments:
lvec: vector of l values
P: p.pk p.k contains the power spectrum, e.g. pt.Camb instance
D: frw.Distance instance
dNdz,z, growthFac: vectors suitable for trapezoid z-integration
presently it crashes if z=0.0 is included, start from a small z value
"""
lvec = M.asarray(lvec)
dNdz2 = M.asarray(dNdz)**2
z = M.asarray(z)
da1 = 1./D.rtc(z)/D.h #comoving Da in h^1Mpc
dNdz2vc = dNdz2/D.vc(z)/D.h**3 # comovin volume in (h^-1Mpc)^3
#`use growth factor if given
if growthFac:
dNdz2vc = dNdz2vc*(growthFac**2)
lk = M.log(P.k)
pk = P.pk
## return M.asarray([utils.trapz(utils.splineResample(pk,lk,
## M.log(l*da1))*dNdz2vc,z) for l in lvec])
return M.asarray([utils.trapz(utils.interpolateLin(pk,lk,
M.log(l*da1))*dNdz2vc,z) for l in lvec])
def runTest(self):
# from pylab import loglog,show
z = M.arange(0.0005,0.5,0.0005)
dNdz = calcdNdz2mass(z)
dNdz = dNdz/utils.trapz(dNdz,z)
c = pt.Camb( hubble=70, omega_cdm=0.25,
omega_baryon=0.05, w=-1.0,transfer_kmax=500,
use_physical='F',do_nonlinear=1)
c.run()
dist = frw.Distance(c.cp,zmax=1)
l = M.arange(10.0,1000,10.0)
cl = projectCl(l,c,dist,dNdz,z)
# loglog(l,l**2*cl)
# show()
print cl
return True
def plotCl(ob=0.05):
from pylab import loglog,show
#z = M.arange(0.0005,0.5,0.0005)
#dNdz = calcdNdz2mass(z)
tamas = utils.readColumns("simit3n.dndz")
z = tamas[0]
dNdz = tamas[1]
dNdz = dNdz/utils.trapz(dNdz,z)
c = pt.Camb( hubble=70, omega_cdm=0.3-ob,
omega_baryon=ob, w=-1.0,transfer_kmax=500,
use_physical='F',do_nonlinear=1)
c.run()
dist = frw.Distance(c.cp,zmax=1)
l = M.arange(10.0,1000,1.0)
cl = projectCl(l,c,dist,dNdz,z)
loglog(l,l**2*cl)
show()
def eval_s_path(self, bases, rv):
bases = bases.reshape((-1, self.Nx))
k = np.dot(rv, bases)
h = self.T / (self.Nx - 1)
K = trapz(k, h)
return self.y0 * np.exp(K)