evaluate_metric_derivs Subroutine

public subroutine evaluate_metric_derivs(n, X1, X2, zeta, dX1_ds, dX2_ds, dX1_dt, dX2_dt, dX1_dz, dX2_dz, dX1_dss, dX2_dss, dX1_dst, dX2_dst, dX1_dsz, dX2_dsz, dX1_dtt, dX2_dtt, dX1_dtz, dX2_dtz, dX1_dzz, dX2_dzz, dg_ss_ds, dg_st_ds, dg_sz_ds, dg_tt_ds, dg_tz_ds, dg_zz_ds, dg_ss_dt, dg_st_dt, dg_sz_dt, dg_tt_dt, dg_tz_dt, dg_zz_dt, dg_ss_dz, dg_st_dz, dg_sz_dz, dg_tt_dz, dg_tz_dz, dg_zz_dz)

Uses

  • proc~~evaluate_metric_derivs~~UsesGraph proc~evaluate_metric_derivs evaluate_metric_derivs module~modgvec_hmap MODgvec_hmap proc~evaluate_metric_derivs->module~modgvec_hmap module~modgvec_mhd3d_vars MODgvec_MHD3D_Vars proc~evaluate_metric_derivs->module~modgvec_mhd3d_vars module~modgvec_c_hmap MODgvec_c_hmap module~modgvec_hmap->module~modgvec_c_hmap module~modgvec_hmap_axisnb MODgvec_hmap_axisNB module~modgvec_hmap->module~modgvec_hmap_axisnb module~modgvec_hmap_cyl MODgvec_hmap_cyl module~modgvec_hmap->module~modgvec_hmap_cyl module~modgvec_hmap_frenet MODgvec_hmap_frenet module~modgvec_hmap->module~modgvec_hmap_frenet module~modgvec_hmap_knot MODgvec_hmap_knot module~modgvec_hmap->module~modgvec_hmap_knot module~modgvec_hmap_rz MODgvec_hmap_RZ module~modgvec_hmap->module~modgvec_hmap_rz module~modgvec_mhd3d_vars->module~modgvec_hmap module~modgvec_base MODgvec_base module~modgvec_mhd3d_vars->module~modgvec_base module~modgvec_boundaryfromfile MODgvec_boundaryFromFile module~modgvec_mhd3d_vars->module~modgvec_boundaryfromfile module~modgvec_globals MODgvec_Globals module~modgvec_mhd3d_vars->module~modgvec_globals module~modgvec_rprofile_base MODgvec_rProfile_base module~modgvec_mhd3d_vars->module~modgvec_rprofile_base module~modgvec_sgrid MODgvec_sGrid module~modgvec_mhd3d_vars->module~modgvec_sgrid module~modgvec_sol_var_mhd3d MODgvec_sol_var_MHD3D module~modgvec_mhd3d_vars->module~modgvec_sol_var_mhd3d module~modgvec_base->module~modgvec_globals module~modgvec_base->module~modgvec_sgrid module~modgvec_fbase MODgvec_fBase module~modgvec_base->module~modgvec_fbase module~modgvec_sbase MODgvec_sBase module~modgvec_base->module~modgvec_sbase module~modgvec_boundaryfromfile->module~modgvec_globals module~modgvec_io_netcdf MODgvec_IO_NETCDF module~modgvec_boundaryfromfile->module~modgvec_io_netcdf module~modgvec_c_hmap->module~modgvec_globals iso_fortran_env iso_fortran_env module~modgvec_globals->iso_fortran_env module~modgvec_hmap_axisnb->module~modgvec_c_hmap module~modgvec_hmap_axisnb->module~modgvec_globals module~modgvec_hmap_axisnb->module~modgvec_fbase module~modgvec_hmap_axisnb->module~modgvec_io_netcdf module~modgvec_hmap_cyl->module~modgvec_c_hmap module~modgvec_hmap_cyl->module~modgvec_globals module~modgvec_hmap_frenet->module~modgvec_c_hmap module~modgvec_hmap_frenet->module~modgvec_globals module~modgvec_hmap_knot->module~modgvec_c_hmap module~modgvec_hmap_knot->module~modgvec_globals module~modgvec_hmap_rz->module~modgvec_c_hmap module~modgvec_hmap_rz->module~modgvec_globals module~modgvec_rprofile_base->module~modgvec_globals module~modgvec_sgrid->module~modgvec_globals module~modgvec_sol_var_mhd3d->module~modgvec_globals module~modgvec_c_sol_var MODgvec_c_sol_var module~modgvec_sol_var_mhd3d->module~modgvec_c_sol_var module~modgvec_c_sol_var->module~modgvec_globals module~modgvec_fbase->module~modgvec_globals module~modgvec_io_netcdf->module~modgvec_globals module~modgvec_sbase->module~modgvec_globals module~modgvec_sbase->module~modgvec_sgrid module~sll_m_bsplines sll_m_bsplines module~modgvec_sbase->module~sll_m_bsplines module~sll_m_spline_interpolator_1d sll_m_spline_interpolator_1d module~modgvec_sbase->module~sll_m_spline_interpolator_1d module~sll_m_spline_matrix sll_m_spline_matrix module~modgvec_sbase->module~sll_m_spline_matrix module~sll_m_assert sll_m_assert module~sll_m_bsplines->module~sll_m_assert module~sll_m_bsplines_base sll_m_bsplines_base module~sll_m_bsplines->module~sll_m_bsplines_base module~sll_m_bsplines_non_uniform sll_m_bsplines_non_uniform module~sll_m_bsplines->module~sll_m_bsplines_non_uniform module~sll_m_bsplines_uniform sll_m_bsplines_uniform module~sll_m_bsplines->module~sll_m_bsplines_uniform module~sll_m_errors sll_m_errors module~sll_m_bsplines->module~sll_m_errors module~sll_m_working_precision sll_m_working_precision module~sll_m_bsplines->module~sll_m_working_precision module~sll_m_spline_interpolator_1d->module~sll_m_spline_matrix module~sll_m_spline_interpolator_1d->module~sll_m_assert module~sll_m_boundary_condition_descriptors sll_m_boundary_condition_descriptors module~sll_m_spline_interpolator_1d->module~sll_m_boundary_condition_descriptors module~sll_m_spline_interpolator_1d->module~sll_m_bsplines_base module~sll_m_spline_interpolator_1d->module~sll_m_errors module~sll_m_spline_1d sll_m_spline_1d module~sll_m_spline_interpolator_1d->module~sll_m_spline_1d module~sll_m_spline_interpolator_1d->module~sll_m_working_precision module~sll_m_spline_matrix->module~sll_m_errors module~sll_m_spline_matrix_banded sll_m_spline_matrix_banded module~sll_m_spline_matrix->module~sll_m_spline_matrix_banded module~sll_m_spline_matrix_base sll_m_spline_matrix_base module~sll_m_spline_matrix->module~sll_m_spline_matrix_base module~sll_m_spline_matrix_dense sll_m_spline_matrix_dense module~sll_m_spline_matrix->module~sll_m_spline_matrix_dense module~sll_m_spline_matrix->module~sll_m_working_precision module~sll_m_boundary_condition_descriptors->module~sll_m_working_precision module~sll_m_bsplines_base->module~sll_m_assert module~sll_m_bsplines_base->module~sll_m_working_precision module~sll_m_bsplines_non_uniform->module~sll_m_assert module~sll_m_bsplines_non_uniform->module~sll_m_bsplines_base module~sll_m_bsplines_non_uniform->module~sll_m_working_precision module~sll_m_bsplines_uniform->module~sll_m_assert module~sll_m_bsplines_uniform->module~sll_m_bsplines_base module~sll_m_bsplines_uniform->module~sll_m_errors module~sll_m_bsplines_uniform->module~sll_m_working_precision module~sll_m_errors->iso_fortran_env module~sll_m_spline_1d->module~sll_m_assert module~sll_m_spline_1d->module~sll_m_bsplines_base module~sll_m_spline_1d->module~sll_m_working_precision module~sll_m_spline_matrix_banded->iso_fortran_env module~sll_m_spline_matrix_banded->module~sll_m_assert module~sll_m_spline_matrix_banded->module~sll_m_errors module~sll_m_spline_matrix_banded->module~sll_m_spline_matrix_base module~sll_m_spline_matrix_banded->module~sll_m_working_precision module~sll_m_spline_matrix_base->module~sll_m_working_precision module~sll_m_spline_matrix_dense->iso_fortran_env module~sll_m_spline_matrix_dense->module~sll_m_assert module~sll_m_spline_matrix_dense->module~sll_m_errors module~sll_m_spline_matrix_dense->module~sll_m_spline_matrix_base module~sll_m_spline_matrix_dense->module~sll_m_working_precision

evaluate components of the metric tensor and their derivatives

Arguments

Type IntentOptional Attributes Name
integer, intent(in) :: n

number of evaluation points
real, intent(in), DIMENSION(n) :: X1

reference coordinates
real, intent(in), DIMENSION(n) :: X2

reference coordinates
real, intent(in), DIMENSION(n) :: zeta

reference coordinates
real, intent(in), DIMENSION(n) :: dX1_ds

reference coordinates
real, intent(in), DIMENSION(n) :: dX2_ds

reference coordinates
real, intent(in), DIMENSION(n) :: dX1_dt

reference coordinates
real, intent(in), DIMENSION(n) :: dX2_dt

reference coordinates
real, intent(in), DIMENSION(n) :: dX1_dz

reference coordinates
real, intent(in), DIMENSION(n) :: dX2_dz

reference coordinates
real, intent(in), DIMENSION(n) :: dX1_dss

and their derivatives
real, intent(in), DIMENSION(n) :: dX2_dss

and their derivatives
real, intent(in), DIMENSION(n) :: dX1_dst

and their derivatives
real, intent(in), DIMENSION(n) :: dX2_dst

and their derivatives
real, intent(in), DIMENSION(n) :: dX1_dsz

and their derivatives
real, intent(in), DIMENSION(n) :: dX2_dsz

and their derivatives
real, intent(in), DIMENSION(n) :: dX1_dtt
real, intent(in), DIMENSION(n) :: dX2_dtt
real, intent(in), DIMENSION(n) :: dX1_dtz
real, intent(in), DIMENSION(n) :: dX2_dtz
real, intent(in), DIMENSION(n) :: dX1_dzz
real, intent(in), DIMENSION(n) :: dX2_dzz
real, intent(out), DIMENSION(n) :: dg_ss_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_st_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_sz_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tt_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tz_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_zz_ds

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_ss_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_st_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_sz_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tt_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tz_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_zz_dt

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_ss_dz

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_st_dz

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_sz_dz

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tt_dz

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_tz_dz

derivatives of the m. coef.
real, intent(out), DIMENSION(n) :: dg_zz_dz

derivatives of the m. coef.

Calls

proc~~evaluate_metric_derivs~~CallsGraph proc~evaluate_metric_derivs evaluate_metric_derivs proc~hmap_eval_gij_aux c_hmap%hmap_eval_gij_aux proc~evaluate_metric_derivs->proc~hmap_eval_gij_aux proc~hmap_eval_gij_dq_aux c_hmap%hmap_eval_gij_dq_aux proc~evaluate_metric_derivs->proc~hmap_eval_gij_dq_aux proc~hmap_new_auxvar hmap_new_auxvar proc~evaluate_metric_derivs->proc~hmap_new_auxvar eval_gij eval_gij proc~hmap_eval_gij_aux->eval_gij eval_gij_dq eval_gij_dq proc~hmap_eval_gij_dq_aux->eval_gij_dq