PLM_INDEX Function

public function PLM_INDEX(L, M)

1D packed-triangular index for into the output arrays of ASSOC_LEGENDRE_ALL, DDX_ASSOC_LEGENDRE_ALL, ASSOC_LEGENDRE_NORM_ALL, and DDX_ASSOC_LEGENDRE_NORM_ALL (all of which only need , by conjugate/parity symmetry). Matches the SHTOOLS PlmIndex convention.

Returns: Packed index , .

Arguments

Type IntentOptional Attributes Name
integer(kind=i4), intent(in) :: L

Degree, .
integer(kind=i4), intent(in) :: M

Order, .

Return Value integer(kind=i4)


Called by

proc~~plm_index~~CalledByGraph proc~plm_index PLM_INDEX proc~assoc_legendre_all_dp ASSOC_LEGENDRE_ALL_DP proc~assoc_legendre_all_dp->proc~plm_index proc~assoc_legendre_norm_all_dp ASSOC_LEGENDRE_NORM_ALL_DP proc~assoc_legendre_norm_all_dp->proc~plm_index proc~batch_alm_cons BATCH_ALM_CONS proc~batch_alm_cons->proc~plm_index interface~assoc_legendre_all ASSOC_LEGENDRE_ALL proc~batch_alm_cons->interface~assoc_legendre_all proc~batch_dalm_cons BATCH_DALM_CONS proc~batch_dalm_cons->proc~plm_index proc~batch_dalm_cons->interface~assoc_legendre_all interface~ddx_assoc_legendre_all DDX_ASSOC_LEGENDRE_ALL proc~batch_dalm_cons->interface~ddx_assoc_legendre_all proc~ddx_assoc_legendre_all_dp DDX_ASSOC_LEGENDRE_ALL_DP proc~ddx_assoc_legendre_all_dp->proc~plm_index proc~ddx_assoc_legendre_norm_all_dp DDX_ASSOC_LEGENDRE_NORM_ALL_DP proc~ddx_assoc_legendre_norm_all_dp->proc~plm_index proc~ssh_all_dp SSH_ALL_DP proc~ssh_all_dp->proc~plm_index interface~assoc_legendre_norm_all ASSOC_LEGENDRE_NORM_ALL proc~ssh_all_dp->interface~assoc_legendre_norm_all proc~ssh_ortho SSH_ORTHO proc~ssh_ortho->proc~plm_index proc~ssh_ortho->interface~assoc_legendre_all proc~vsh_core_dp VSH_CORE_DP proc~vsh_core_dp->proc~plm_index proc~vsh_core_dp->interface~assoc_legendre_norm_all interface~ddx_assoc_legendre_norm_all DDX_ASSOC_LEGENDRE_NORM_ALL proc~vsh_core_dp->interface~ddx_assoc_legendre_norm_all program~convergence_main CONVERGENCE_MAIN program~convergence_main->proc~plm_index program~convergence_main->proc~batch_alm_cons program~convergence_main->interface~assoc_legendre_all program~convergence_main->interface~assoc_legendre_norm_all interface~ssh_all SSH_ALL program~convergence_main->interface~ssh_all proc~batch_ssh_cons BATCH_SSH_CONS program~convergence_main->proc~batch_ssh_cons interface~vsh_pol_dn_all VSH_POL_DN_ALL program~convergence_main->interface~vsh_pol_dn_all interface~vsh_pol_up_all VSH_POL_UP_ALL program~convergence_main->interface~vsh_pol_up_all proc~batch_vsh_pol_dn_cons BATCH_VSH_POL_DN_CONS program~convergence_main->proc~batch_vsh_pol_dn_cons proc~batch_vsh_pol_up_cons BATCH_VSH_POL_UP_CONS program~convergence_main->proc~batch_vsh_pol_up_cons interface~vsh_tor_all VSH_TOR_ALL program~convergence_main->interface~vsh_tor_all proc~batch_vsh_tor_cons BATCH_VSH_TOR_CONS program~convergence_main->proc~batch_vsh_tor_cons program~stability_main STABILITY_MAIN program~stability_main->proc~plm_index program~stability_main->interface~assoc_legendre_norm_all program~unnorm_stability_main UNNORM_STABILITY_MAIN program~unnorm_stability_main->proc~plm_index program~unnorm_stability_main->interface~assoc_legendre_all interface~assoc_legendre_all->proc~assoc_legendre_all_dp interface~assoc_legendre_norm_all->proc~assoc_legendre_norm_all_dp interface~ddx_assoc_legendre_all->proc~ddx_assoc_legendre_all_dp interface~ddx_assoc_legendre_norm_all->proc~ddx_assoc_legendre_norm_all_dp interface~ssh_all->proc~ssh_all_dp interface~vsh_core VSH_CORE interface~vsh_core->proc~vsh_core_dp program~main MAIN program~main->proc~batch_alm_cons program~main->proc~batch_dalm_cons program~main->proc~ssh_ortho program~main->proc~batch_ssh_cons proc~batch_grad_ssh_cons BATCH_GRAD_SSH_CONS program~main->proc~batch_grad_ssh_cons proc~batch_l_ssh_cons BATCH_L_SSH_CONS program~main->proc~batch_l_ssh_cons proc~batch_pvsh_pol_cons BATCH_PVSH_POL_CONS program~main->proc~batch_pvsh_pol_cons proc~batch_pvsh_rad_cons BATCH_PVSH_RAD_CONS program~main->proc~batch_pvsh_rad_cons proc~batch_pvsh_tor_cons BATCH_PVSH_TOR_CONS program~main->proc~batch_pvsh_tor_cons program~main->proc~batch_vsh_pol_dn_cons program~main->proc~batch_vsh_pol_up_cons proc~pvsh_pol_tor_ortho PVSH_POL_TOR_ORTHO program~main->proc~pvsh_pol_tor_ortho proc~vsh_pol_inversion VSH_POL_INVERSION program~main->proc~vsh_pol_inversion program~main->proc~batch_vsh_tor_cons proc~batch_ssh_cons->interface~ssh_all proc~bench_legendre BENCH_LEGENDRE proc~bench_legendre->interface~assoc_legendre_norm_all proc~bench_ssh BENCH_SSH proc~bench_ssh->interface~ssh_all proc~grad_ssh_all_dp GRAD_SSH_ALL_DP proc~grad_ssh_all_dp->interface~vsh_core proc~l_ssh_all_dp L_SSH_ALL_DP proc~l_ssh_all_dp->interface~vsh_core proc~pvsh_pol_all_dp PVSH_POL_ALL_DP proc~pvsh_pol_all_dp->interface~vsh_core proc~pvsh_rad_all_dp PVSH_RAD_ALL_DP proc~pvsh_rad_all_dp->interface~vsh_core proc~pvsh_tor_all_dp PVSH_TOR_ALL_DP proc~pvsh_tor_all_dp->interface~vsh_core proc~vsh_pol_dn_all_dp VSH_POL_DN_ALL_DP proc~vsh_pol_dn_all_dp->interface~vsh_core proc~vsh_pol_up_all_dp VSH_POL_UP_ALL_DP proc~vsh_pol_up_all_dp->interface~vsh_core interface~grad_ssh_all GRAD_SSH_ALL interface~grad_ssh_all->proc~grad_ssh_all_dp interface~l_ssh_all L_SSH_ALL interface~l_ssh_all->proc~l_ssh_all_dp interface~pvsh_pol_all PVSH_POL_ALL interface~pvsh_pol_all->proc~pvsh_pol_all_dp interface~pvsh_rad_all PVSH_RAD_ALL interface~pvsh_rad_all->proc~pvsh_rad_all_dp interface~pvsh_tor_all PVSH_TOR_ALL interface~pvsh_tor_all->proc~pvsh_tor_all_dp interface~vsh_pol_dn_all->proc~vsh_pol_dn_all_dp interface~vsh_pol_up_all->proc~vsh_pol_up_all_dp program~bench_main BENCH_MAIN program~bench_main->proc~bench_legendre program~bench_main->proc~bench_ssh proc~bench_vsh_pol_dn BENCH_VSH_POL_DN program~bench_main->proc~bench_vsh_pol_dn proc~bench_vsh_pol_up BENCH_VSH_POL_UP program~bench_main->proc~bench_vsh_pol_up proc~bench_vsh_tor BENCH_VSH_TOR program~bench_main->proc~bench_vsh_tor proc~batch_grad_ssh_cons->interface~grad_ssh_all proc~batch_l_ssh_cons->interface~l_ssh_all proc~batch_pvsh_pol_cons->interface~pvsh_pol_all proc~batch_pvsh_rad_cons->interface~pvsh_rad_all proc~batch_pvsh_tor_cons->interface~pvsh_tor_all proc~batch_vsh_pol_dn_cons->interface~vsh_pol_dn_all proc~batch_vsh_pol_up_cons->interface~vsh_pol_up_all proc~bench_vsh_pol_dn->interface~vsh_pol_dn_all proc~bench_vsh_pol_up->interface~vsh_pol_up_all proc~decompose DECOMPOSE proc~decompose->interface~pvsh_pol_all proc~decompose->interface~pvsh_rad_all proc~decompose->interface~pvsh_tor_all proc~decompose~2 DECOMPOSE proc~decompose~2->interface~pvsh_pol_all proc~decompose~2->interface~pvsh_rad_all proc~decompose~2->interface~pvsh_tor_all proc~pvsh_pol_tor_ortho->interface~pvsh_pol_all proc~pvsh_pol_tor_ortho->interface~pvsh_tor_all proc~reconstruct RECONSTRUCT proc~reconstruct->interface~pvsh_pol_all proc~reconstruct->interface~pvsh_rad_all proc~reconstruct->interface~pvsh_tor_all proc~reconstruct~2 RECONSTRUCT proc~reconstruct~2->interface~pvsh_pol_all proc~reconstruct~2->interface~pvsh_rad_all proc~reconstruct~2->interface~pvsh_tor_all proc~vsh_pol_inversion->interface~pvsh_pol_all proc~vsh_pol_inversion->interface~pvsh_rad_all proc~vsh_pol_inversion->interface~vsh_pol_dn_all proc~vsh_pol_inversion->interface~vsh_pol_up_all proc~vsh_tor_all_dp VSH_TOR_ALL_DP proc~vsh_tor_all_dp->interface~pvsh_tor_all interface~vsh_tor_all->proc~vsh_tor_all_dp proc~run_part_a RUN_PART_A proc~run_part_a->proc~decompose proc~run_part_a~2 RUN_PART_A proc~run_part_a~2->proc~decompose~2 proc~run_part_b RUN_PART_B proc~run_part_b->proc~decompose proc~run_part_b->proc~reconstruct proc~run_part_b~2 RUN_PART_B proc~run_part_b~2->proc~decompose~2 proc~run_part_b~2->proc~reconstruct~2 proc~batch_vsh_tor_cons->interface~vsh_tor_all proc~bench_vsh_tor->interface~vsh_tor_all program~vsh_decomposition VSH_DECOMPOSITION program~vsh_decomposition->proc~run_part_a program~vsh_decomposition->proc~run_part_b program~vsh_decomposition_tor VSH_DECOMPOSITION_TOR program~vsh_decomposition_tor->proc~run_part_a~2 program~vsh_decomposition_tor->proc~run_part_b~2

Source Code

  FUNCTION PLM_INDEX(L, M)
  IMPLICIT NONE
  INTEGER(KIND=i4), INTENT(IN) :: L
  INTEGER(KIND=i4), INTENT(IN) :: M
  INTEGER(KIND=i4) :: PLM_INDEX
  PLM_INDEX = L*(L+1)/2 + M + 1
  END FUNCTION PLM_INDEX