ply_oversample_module Module

This module provides functions to transfer polynomials from and to the oversampled representation for nodal treatments.


Uses

  • module~~ply_oversample_module~~UsesGraph module~ply_oversample_module ply_oversample_module env_module env_module module~ply_oversample_module->env_module module~ply_dof_module ply_dof_module module~ply_oversample_module->module~ply_dof_module module~ply_poly_project_module ply_poly_project_module module~ply_oversample_module->module~ply_poly_project_module module~ply_dof_module->env_module module~ply_poly_project_module->env_module module~ply_poly_project_module->module~ply_dof_module module~ply_dynarray_project_module ply_dynarray_project_module module~ply_poly_project_module->module~ply_dynarray_project_module module~ply_fxt_module ply_fxt_module module~ply_poly_project_module->module~ply_fxt_module module~ply_l2p_module ply_l2p_module module~ply_poly_project_module->module~ply_l2p_module module~ply_legfpt_2d_module ply_legFpt_2D_module module~ply_poly_project_module->module~ply_legfpt_2d_module module~ply_legfpt_3d_module ply_legFpt_3D_module module~ply_poly_project_module->module~ply_legfpt_3d_module module~ply_legfpt_module ply_legFpt_module module~ply_poly_project_module->module~ply_legfpt_module module~ply_nodes_header_module ply_nodes_header_module module~ply_poly_project_module->module~ply_nodes_header_module module~ply_nodes_module ply_nodes_module module~ply_poly_project_module->module~ply_nodes_module module~ply_prj_header_module ply_prj_header_module module~ply_poly_project_module->module~ply_prj_header_module tem_aux_module tem_aux_module module~ply_poly_project_module->tem_aux_module tem_logging_module tem_logging_module module~ply_poly_project_module->tem_logging_module tem_tools_module tem_tools_module module~ply_poly_project_module->tem_tools_module module~ply_dynarray_project_module->env_module module~ply_dynarray_project_module->module~ply_prj_header_module module~ply_dynarray_project_module->tem_logging_module aotus_module aotus_module module~ply_dynarray_project_module->aotus_module module~ply_fxt_module->env_module module~fxt_fwrap fxt_fwrap module~ply_fxt_module->module~fxt_fwrap module~ply_fxt_header_module ply_fxt_header_module module~ply_fxt_module->module~ply_fxt_header_module module~ply_l2p_module->env_module module~ply_l2p_module->tem_aux_module module~ply_l2p_module->tem_logging_module module~ply_l2p_header_module ply_l2p_header_module module~ply_l2p_module->module~ply_l2p_header_module module~ply_lagrange_module ply_lagrange_module module~ply_l2p_module->module~ply_lagrange_module module~ply_modg_basis_module ply_modg_basis_module module~ply_l2p_module->module~ply_modg_basis_module module~ply_nodeset_module ply_nodeset_module module~ply_l2p_module->module~ply_nodeset_module module~ply_space_integration_module ply_space_integration_module module~ply_l2p_module->module~ply_space_integration_module tem_compileconf_module tem_compileconf_module module~ply_l2p_module->tem_compileconf_module module~ply_legfpt_2d_module->env_module module~ply_legfpt_2d_module->module~ply_legfpt_module iso_c_binding iso_c_binding module~ply_legfpt_2d_module->iso_c_binding module~fftw_wrap fftw_wrap module~ply_legfpt_2d_module->module~fftw_wrap module~ply_legfpt_3d_module->env_module module~ply_legfpt_3d_module->module~ply_legfpt_module module~ply_legfpt_3d_module->iso_c_binding module~ply_legfpt_3d_module->module~fftw_wrap module~ply_legfpt_module->env_module module~ply_legfpt_module->iso_c_binding module~ply_legfpt_module->module~fftw_wrap module~ply_fpt_header_module ply_fpt_header_module module~ply_legfpt_module->module~ply_fpt_header_module module~ply_polybaseexc_module ply_polyBaseExc_module module~ply_legfpt_module->module~ply_polybaseexc_module module~ply_legfpt_module->tem_compileconf_module module~ply_nodes_header_module->env_module module~ply_nodes_module->env_module module~ply_nodes_module->module~ply_nodes_header_module module~ply_nodes_module->tem_aux_module module~ply_nodes_module->aotus_module module~ply_nodes_module->module~fftw_wrap module~ply_nodes_module->module~ply_nodeset_module module~ply_prj_header_module->env_module module~ply_prj_header_module->tem_aux_module module~ply_prj_header_module->tem_logging_module module~ply_prj_header_module->tem_tools_module aot_out_module aot_out_module module~ply_prj_header_module->aot_out_module module~ply_prj_header_module->aotus_module module~ply_prj_header_module->module~fftw_wrap module~ply_prj_header_module->module~ply_fpt_header_module module~ply_prj_header_module->module~ply_fxt_header_module module~ply_prj_header_module->module~ply_l2p_header_module

Used by


Subroutines

public subroutine ply_convert2oversample(state, poly_proj, nDim, modalCoeffs, nScalars, ensure_positivity)

Copy a single element state into a larger array and pad it with zeroes.

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Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: state(:,:)

State in a single element, to be oversampled.
type(ply_poly_project_type), intent(in) :: poly_proj

Description of the projection method.
integer, intent(in) :: nDim

The number of dimensions to determine the correct oversampling routine.
real(kind=rk), intent(inout) :: modalCoeffs(:,:)

Oversampled array for modal coefficients from state.

Read more…
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.
logical, intent(in), optional :: ensure_positivity(:)

Only use modes up to the point, where we are sure that the resulting polynomial will be positive everywhere. This is an array of logicals for each variable, if not given, the default is false (no positivity ensured).

public subroutine ply_convertFromOversample(modalCoeffs, poly_proj, nDim, state, nScalars)

Truncating an oversampled polynomial representation back to the original representation.

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Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: modalCoeffs(:,:)

Oversampled modal array for one element
type(ply_poly_project_type), intent(in) :: poly_proj

Data of the projection method
integer, intent(in) :: nDim

The number of dimensions to determine the correct oversampling routine.
real(kind=rk), intent(out) :: state(:,:)

Truncated state for one element obtained from the modalCoeffs
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.

private subroutine ply_convert2oversample_3d(state, poly_proj, modalCoeffs, ensure_positivity)

Copy a single element state into a larger array and pad it with zeroes.

Read more…

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: state(:,:)

State in a single element, to be oversampled.
type(ply_poly_project_type), intent(in) :: poly_proj

Description of the projection method.
real(kind=rk), intent(inout) :: modalCoeffs(:,:)

Oversampled array for modal coefficients from state.

Read more…
logical, intent(in), optional :: ensure_positivity(:)

Only use modes up to the point, where we are sure that the resulting polynomial will be positive everywhere.

Read more…

private subroutine ply_convertFromOversample_3d(modalCoeffs, poly_proj, state)

Truncating an oversampled polynomial representation back to the original representation.

Read more…

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: modalCoeffs(:,:)

Oversampled modal array for one element
type(ply_poly_project_type), intent(in) :: poly_proj

Data of the projection method
real(kind=rk), intent(out) :: state(:,:)

Truncated state for one element obtained from the modalCoeffs

private subroutine ply_convert2oversample_2d(state, poly_proj, modalCoeffs, nScalars, ensure_positivity)

Copy a single 2D element state into a larger array and pad it with zeroes.

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Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: state(:,:)

State in a single element, to be oversampled.
type(ply_poly_project_type), intent(in) :: poly_proj

Description of the projection method.
real(kind=rk), intent(inout) :: modalCoeffs(:,:)

Oversampled array for modal coefficients from state.

Read more…
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.
logical, intent(in), optional :: ensure_positivity(:)

Only use modes up to the point, where we are sure that the resulting polynomial will be positive everywhere. This is an array of logicals for each variable, if not given, the default is false (no positivity ensured).

private subroutine ply_convertFromOversample_2d(modalCoeffs, poly_proj, state, nScalars)

Truncating an oversampled 2D polynomial representation back to the original representation.

Read more…

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: modalCoeffs(:,:)

Oversampled modal array for one element
type(ply_poly_project_type), intent(in) :: poly_proj

Data of the projection method
real(kind=rk), intent(out) :: state(:,:)

Truncated state for one element obtained from the modalCoeffs
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.

private subroutine ply_convert2oversample_1d(state, poly_proj, modalCoeffs, nScalars, ensure_positivity)

Copy a single 1D element state into a larger array and pad it with zeroes.

Read more…

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: state(:,:)

State in a single element, to be oversampled.
type(ply_poly_project_type), intent(in) :: poly_proj

Description of the projection method.
real(kind=rk), intent(inout) :: modalCoeffs(:,:)

Oversampled array for modal coefficients from state.
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.
logical, intent(in), optional :: ensure_positivity(:)

Only use modes up to the point, where we are sure that the resulting polynomial will be positive everywhere. This is an array of logicals for each variable, if not given, the default is false (no positivity ensured).

private subroutine ply_convertFromOversample_1d(modalCoeffs, poly_proj, state, nScalars)

Truncating an oversampled 1D polynomial representation back to the original representation.

Arguments

Type IntentOptional Attributes Name
real(kind=rk), intent(in) :: modalCoeffs(:,:)

Oversampled modal array for one element
type(ply_poly_project_type), intent(in) :: poly_proj

Data of the projection method
real(kind=rk), intent(out) :: state(:,:)

Truncated state for one element obtained from the modalCoeffs
integer, intent(in), optional :: nScalars

The number of scalar variables to convert. If nScalars is not passed to this subroutine, all variables of argument state will be considered by this routine.