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Copy pathSHCilmToVector.f95
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220 lines (184 loc) · 6.11 KB
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subroutine SHCilmToVector(cilm, vector, lmax, exitstatus)
!------------------------------------------------------------------------------
!
! This subroutine will convert an array of spherical harmonic
! coefficients Cilm to an ordered 1D vector.
!
! Calling Parameters
!
! IN
! cilm Input spherical harmonic coefficients with dimension
! cilm(2, lmax+1, lmax+1).
! lmax Maximum spherical harmonic degree of the input coefficients:
!
! OUT
! vector 1D vector of ordered spherical harmonic coefficients with
! dimension (lmax+1)**2. The ordering is described in
! YilmIndexVector.
!
! 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.
!
! Copyright (c) 2005-2019, SHTOOLS
! All rights reserved.
!
!------------------------------------------------------------------------------
use ftypes
implicit none
real(dp), intent(in) :: cilm(:,:,:)
real(dp), intent(out) :: vector(:)
integer(int32), intent(in) :: lmax
integer(int32), intent(out), optional :: exitstatus
integer(int32) :: i, l, m
if (present(exitstatus)) exitstatus = 0
if (size(cilm(:,1,1)) < 2 .or. size(cilm(1,:,1)) < lmax+1 .or. &
size(cilm(1,1,:)) < lmax+1) then
print*, "Error --- SHCilmToVector"
print*, "CILM must be dimensioned as (2, LMAX+1, LMAX + 1)."
print*, "LMAX = ", lmax
print*, "Dimension of CILM = ", size(cilm(:,1,1)), size(cilm(1,:,1)), &
size(cilm(1,1,:))
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
end if
if (size(vector(:)) < (lmax+1)**2) then
print*, "Error --- SHCilmToVector"
print*, "VECTOR must be have dimension (LMAX+1)**2."
print*, "LMAX = ", lmax
print*, "Dimension of VECTOR = ", size(vector(:))
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
end if
if (lmax < 0) then
print*, "Error --- SHCilmToVector"
print*, "LMAX must be positive."
print*, "LMAX = ", lmax
if (present(exitstatus)) then
exitstatus = 2
return
else
stop
end if
end if
i = 0
do l = 0, lmax
do m = 0, l
i = i + 1
vector(i) = cilm(1, l+1, m+1)
end do
do m = 1, l, 1
i = i + 1
vector(i) = cilm(2, l+1, m+1)
end do
end do
end subroutine SHCilmToVector
subroutine SHVectorToCilm(vector, cilm, lmax, exitstatus)
!------------------------------------------------------------------------------
!
! This subroutine will convert a 1D ordered vector of spherical harmonic
! coefficients to a 3D array Cilm(i, l, m).
!
! Calling Parameters
!
! IN
! vector 1D vector of ordered spherical harmonic coefficients with
! dimension (lmax+1)**2. The ordering is described in
! YilmIndexVector.
! lmax Maximum spherical harmonic degree of the input coefficients.
!
! OUT
! cilm Output spherical harmonic coefficients with dimension
! cilm(2, lmax+1, lmax+1).
!
! 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.
!
! Copyright (c) 2016, SHTOOLS
! All rights reserved.
!
!------------------------------------------------------------------------------
use ftypes
implicit none
real(dp), intent(out) :: cilm(:,:,:)
real(dp), intent(in) :: vector(:)
integer(int32), intent(in) :: lmax
integer(int32), intent(out), optional :: exitstatus
integer(int32) :: k, i, l, m
if (present(exitstatus)) exitstatus = 0
if (size(cilm(:,1,1)) < 2 .or. size(cilm(1,:,1)) < lmax+1 &
.or. size(cilm(1,1,:)) < lmax+1) then
print*, "Error --- SHVectorToCilm"
print*, "CILM must be dimensioned as (2, LMAX+1, LMAX + 1)."
print*, "LMAX = ", lmax
print*, "Dimension of CILM = ", size(cilm(:,1,1)), size(cilm(1,:,1)), &
size(cilm(1,1,:))
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
end if
if (size(vector(:)) < (lmax+1)**2) then
print*, "Error --- SHVectorToCilm"
print*, "VECTOR must be have dimension (LMAX+1)**2."
print*, "LMAX = ", lmax
print*, "Dimension of VECTOR = ", size(vector(:))
if (present(exitstatus)) then
exitstatus = 1
return
else
stop
end if
end if
if (lmax < 0) then
print*, "Error --- SHVectorToCilm"
print*, "LMAX must be positive."
print*, "LMAX = ", lmax
if (present(exitstatus)) then
exitstatus = 2
return
else
stop
end if
end if
l = 0
m = 0
i = 1
cilm(1,1,1) = vector(1)
i = 2
do k=2, (lmax+1)**2, 1
m = m + 1
if (m > l .and. i == 1) then
i = 2
m = 1
else if (m > l .and. i == 2) then
l = l + 1
m = 0
i = 1
end if
cilm(i,l+1,m+1) = vector(k)
end do
end subroutine SHVectorToCilm