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SHBias.f95
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SHBias.f95
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subroutine SHBias(Shh, lwin, incspectra, ldata, outcspectra, save_cg, &
exitstatus)
!------------------------------------------------------------------------------
!
! This subroutine will compute the expected windowed (cross-)power spectra
! given the power spectrum of an arbitrary window, and the "known" input
! (cross-)power spectra. Note that this routine makes the assumption that
! the known spectra can be described as a random variable.
!
! Calling Parameteters
!
! IN
! Shh Window power spectrum.
! lwin Maximum spherical harmonic degree of the window.
! incspectra Known input (cross-)power spectrum as a function of
! degree.
! ldata Maximum degree of incspectra. Beyong this degree
! incspectra is assumed to be zero.
!
! OUT
! outcspectra Biased estimate of the windowed
! power spectra. Maximum degree calculated is equal
! to lwin + ldata, or the dimension of outcspectra.
!
! IN, OPTIONAL
! save_cg If 1, the Clebsch-Gordon coefficients will be calculated
! and saved, and then used in all subsequent calls
! (if lwin and ldata are not changed).
! If -1, the allocated memory for these terms will be
! deallocated.
!
! OPTIONAL (OUT)
! exitstatus If present, instead of executing a STOP when an error
! is encountered, the variable exitstatus will be
! returned describing the error.
! 0 = No errors;
! 1 = Improper dimensions of input array;
! 2 = Improper bounds for input variable;
! 3 = Error allocating memory;
! 4 = File IO error.
!
! Dependencies: Wigner3j
!
! Copyright (c) 2016, SHTOOLS
! All rights reserved.
!
!------------------------------------------------------------------------------
use SHTOOLS, only: Wigner3j
implicit none
real*8, intent(in) :: Shh(:), incspectra(:)
real*8, intent(out) :: outcspectra(:)
integer, intent(in) :: lwin, ldata
integer, intent(in), optional :: save_cg
integer, intent(out), optional :: exitstatus
integer :: l, i, j, lmax, imin, imax, astat
real*8 :: wig(2*lwin+ldata+1)
real*8, allocatable, save :: cg2(:,:,:)
!$OMP threadprivate(cg2)
if (present(exitstatus)) exitstatus = 0
lmax = ldata + lwin
outcspectra = 0.0d0
if (size(Shh) < lwin+1) then
print*, "Error --- SHBias"
print*, "SHH must be dimensioned as (LWIN+1) where LWIN is ", lwin
print*, "Input array is dimensioned as ", size(Shh)
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
else if (size(incspectra) < ldata+1) then
print*, "Error --- SHBias"
print*, "INCSPECTRA must be dimensioned as (LDATA+1) " // &
"where LDATA is ", ldata
print*, "Input array is dimensioned as ", size(incspectra)
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
end if
if (present(save_cg)) then
if (save_cg /= 1 .and. save_cg /= -1 .and. save_cg /= 0) then
print*, "Error --- SHBias"
print*, "SAVE_CG must be 1 (to save the Clebsch-Gordon " // &
"coefficients), -1 (to deallocate the memory), " // &
"or 0 (to do nothing)."
print*, "Input value is ", save_cg
if (present(exitstatus)) then
exitstatus = 2
return
else
stop
end if
end if
end if
!--------------------------------------------------------------------------
!
! Calculate the biased power spectrum
!
!--------------------------------------------------------------------------
if (present(save_cg)) then
if (save_cg == -1) then
if (allocated(cg2)) deallocate(cg2)
return
else if (save_cg == 0) then
do l = 0, min(lmax, size(outcspectra)-1)
do j = 0, lwin
if (present(exitstatus)) then
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0, &
exitstatus = exitstatus)
if (exitstatus /= 0) return
else
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0)
end if
do i = imin, min(imax, ldata), 2
outcspectra(l+1) = outcspectra(l+1) + Shh(j+1) &
* incspectra(i+1) * (2.0d0*l+1.0d0) &
* wig(i-imin+1)**2
end do
end do
end do
return
end if
if (allocated(cg2) .and. (size(cg2(:,1,1)) /= lmax+1 .or. &
size(cg2(1,:,1)) /= lwin+1 .or. &
size(cg2(1,1,:)) /= lmax+lwin+1) ) deallocate(cg2)
if (.not. allocated(cg2)) then
allocate (cg2(lmax+1, lwin+1, lmax+lwin+1), stat = astat)
if (astat /= 0) then
print*, "Error --- SHBias"
print*, "Problem allocating internal array CG2"
if (present(exitstatus)) then
exitstatus = 3
return
else
stop
end if
end if
cg2 = 0.0d0
do l = 0, lmax
do j = 0, lwin
if (present(exitstatus)) then
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0, &
exitstatus = exitstatus)
if (exitstatus /= 0) return
else
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0)
end if
cg2(l+1,j+1,1:imax-imin+1) = (2.0d0*l+1.0d0) &
* wig(1:imax-imin+1)**2
end do
end do
end if
do l = 0, min(lmax, size(outcspectra)-1)
do j = 0, lwin
imin = abs(j-l)
imax = j + l
do i = imin, min(imax, ldata), 2
outcspectra(l+1) = outcspectra(l+1) + Shh(j+1) &
* incspectra(i+1) &
* cg2(l+1,j+1,i-imin+1)
end do
end do
end do
else
do l = 0, min(lmax, size(outcspectra)-1)
do j = 0, lwin
if (present(exitstatus)) then
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0, &
exitstatus = exitstatus)
if (exitstatus /= 0) return
else
call Wigner3j(wig, imin, imax, j, l, 0, 0, 0)
end if
do i = imin, min(imax, ldata), 2
outcspectra(l+1) = outcspectra(l+1) + Shh(j+1) &
* incspectra(i+1) * (2.0d0*l+1.0d0) &
* wig(i-imin+1)**2
end do
end do
end do
end if
end subroutine SHBias