ASSOC_LEGENDRE_AND_DERIV Interface

private interface ASSOC_LEGENDRE_AND_DERIV

Calls

interface~~assoc_legendre_and_deriv~~CallsGraph interface~assoc_legendre_and_deriv ASSOC_LEGENDRE_AND_DERIV proc~assoc_legendre_and_deriv_dp ASSOC_LEGENDRE_AND_DERIV_DP interface~assoc_legendre_and_deriv->proc~assoc_legendre_and_deriv_dp interface~log_fact LOG_FACT proc~assoc_legendre_and_deriv_dp->interface~log_fact proc~log_fact_dp LOG_FACT_DP interface~log_fact->proc~log_fact_dp

Called by

interface~~assoc_legendre_and_deriv~~CalledByGraph interface~assoc_legendre_and_deriv ASSOC_LEGENDRE_AND_DERIV proc~ddx_assoc_legendre_dp DDX_ASSOC_LEGENDRE_DP proc~ddx_assoc_legendre_dp->interface~assoc_legendre_and_deriv proc~grad_ssh_dp GRAD_SSH_DP proc~grad_ssh_dp->interface~assoc_legendre_and_deriv proc~l_ssh_dp L_SSH_DP proc~l_ssh_dp->interface~assoc_legendre_and_deriv proc~pvsh_pol_dp PVSH_POL_DP proc~pvsh_pol_dp->interface~assoc_legendre_and_deriv proc~pvsh_tor_dp PVSH_TOR_DP proc~pvsh_tor_dp->interface~assoc_legendre_and_deriv proc~vsh_pol_dn_dp VSH_POL_DN_DP proc~vsh_pol_dn_dp->interface~assoc_legendre_and_deriv proc~vsh_pol_up_dp VSH_POL_UP_DP proc~vsh_pol_up_dp->interface~assoc_legendre_and_deriv interface~ddx_assoc_legendre DDX_ASSOC_LEGENDRE interface~ddx_assoc_legendre->proc~ddx_assoc_legendre_dp interface~grad_ssh GRAD_SSH interface~grad_ssh->proc~grad_ssh_dp interface~l_ssh L_SSH interface~l_ssh->proc~l_ssh_dp interface~pvsh_pol PVSH_POL interface~pvsh_pol->proc~pvsh_pol_dp interface~pvsh_tor PVSH_TOR interface~pvsh_tor->proc~pvsh_tor_dp interface~vsh_pol_dn VSH_POL_DN interface~vsh_pol_dn->proc~vsh_pol_dn_dp interface~vsh_pol_up VSH_POL_UP interface~vsh_pol_up->proc~vsh_pol_up_dp proc~batch_dalm_cons BATCH_DALM_CONS proc~batch_dalm_cons->interface~ddx_assoc_legendre proc~batch_grad_ssh_cons BATCH_GRAD_SSH_CONS proc~batch_grad_ssh_cons->interface~grad_ssh proc~batch_l_ssh_cons BATCH_L_SSH_CONS proc~batch_l_ssh_cons->interface~l_ssh proc~batch_pvsh_pol_cons BATCH_PVSH_POL_CONS proc~batch_pvsh_pol_cons->interface~pvsh_pol proc~batch_pvsh_tor_cons BATCH_PVSH_TOR_CONS proc~batch_pvsh_tor_cons->interface~pvsh_tor proc~batch_vsh_pol_dn_cons BATCH_VSH_POL_DN_CONS proc~batch_vsh_pol_dn_cons->interface~vsh_pol_dn proc~batch_vsh_pol_up_cons BATCH_VSH_POL_UP_CONS proc~batch_vsh_pol_up_cons->interface~vsh_pol_up proc~bench_vsh_pol_dn BENCH_VSH_POL_DN proc~bench_vsh_pol_dn->interface~vsh_pol_dn proc~bench_vsh_pol_up BENCH_VSH_POL_UP proc~bench_vsh_pol_up->interface~vsh_pol_up proc~field_known FIELD_KNOWN proc~field_known->interface~pvsh_pol proc~field_known->interface~pvsh_tor proc~field_known_tor FIELD_KNOWN_TOR proc~field_known_tor->interface~pvsh_tor proc~field_quad_bump FIELD_QUAD_BUMP proc~field_quad_bump->interface~pvsh_tor proc~run_gwj_sweep RUN_GWJ_SWEEP proc~run_gwj_sweep->interface~pvsh_pol proc~run_gwj_sweep->interface~pvsh_tor proc~test1_vsh TEST1_VSH proc~test1_vsh->interface~vsh_pol_dn proc~test1_vsh->interface~vsh_pol_up interface~vsh_tor VSH_TOR proc~test1_vsh->interface~vsh_tor proc~test2_vsh TEST2_VSH proc~test2_vsh->interface~pvsh_pol proc~test2_vsh->interface~pvsh_tor proc~vsh_tor_dp VSH_TOR_DP proc~vsh_tor_dp->interface~pvsh_tor program~convergence_main CONVERGENCE_MAIN program~convergence_main->interface~vsh_pol_dn program~convergence_main->interface~vsh_pol_up program~convergence_main->proc~batch_vsh_pol_dn_cons program~convergence_main->proc~batch_vsh_pol_up_cons program~convergence_main->interface~vsh_tor proc~batch_vsh_tor_cons BATCH_VSH_TOR_CONS program~convergence_main->proc~batch_vsh_tor_cons program~dipole_flux_expulsion DIPOLE_FLUX_EXPULSION program~dipole_flux_expulsion->interface~pvsh_pol program~dipole_synthesis DIPOLE_SYNTHESIS program~dipole_synthesis->interface~pvsh_pol program~dipole_uniform_sphere DIPOLE_UNIFORM_SPHERE program~dipole_uniform_sphere->interface~pvsh_pol interface~vsh_tor->proc~vsh_tor_dp proc~run_part_b~2 RUN_PART_B proc~run_part_b~2->proc~field_quad_bump program~bench_main BENCH_MAIN program~bench_main->proc~bench_vsh_pol_dn program~bench_main->proc~bench_vsh_pol_up proc~bench_vsh_tor BENCH_VSH_TOR program~bench_main->proc~bench_vsh_tor program~gwi_gwj_sweep GWI_GWJ_SWEEP program~gwi_gwj_sweep->proc~run_gwj_sweep program~main MAIN program~main->proc~batch_dalm_cons program~main->proc~batch_grad_ssh_cons program~main->proc~batch_l_ssh_cons program~main->proc~batch_pvsh_pol_cons program~main->proc~batch_pvsh_tor_cons program~main->proc~batch_vsh_pol_dn_cons program~main->proc~batch_vsh_pol_up_cons program~main->proc~test1_vsh program~main->proc~test2_vsh program~main->proc~batch_vsh_tor_cons proc~batch_vsh_tor_cons->interface~vsh_tor proc~bench_vsh_tor->interface~vsh_tor program~vsh_decomposition_tor VSH_DECOMPOSITION_TOR program~vsh_decomposition_tor->proc~run_part_b~2

Module Procedures

private subroutine ASSOC_LEGENDRE_AND_DERIV_DP(L, K, X, PLK, DPLK)

Private helper: and together, from a single upward recurrence pass. Avoids the redundant separate ASSOC_LEGENDRE calls that DDX_ASSOC_LEGENDRE would otherwise need, and the repeated SSH + DDX_ASSOC_LEGENDRE evaluation that GRAD_SSH and L_SSH both build on.

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Arguments

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

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

Order, .
real(kind=dp), intent(in) :: X

Argument, .
real(kind=dp), intent(out) :: PLK

Output ; 0 for or .
real(kind=dp), intent(out) :: DPLK

Output ; 0 at the poles ().