/
basis_routines.f90
7103 lines (6594 loc) · 341 KB
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basis_routines.f90
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!> \file
!> \author Chris Bradley
!> \brief This module contains all basis function routines.
!>
!> \section LICENSE
!>
!> Version: MPL 1.1/GPL 2.0/LGPL 2.1
!>
!> The contents of this file are subject to the Mozilla Public License
!> Version 1.1 (the "License"); you may not use this file except in
!> compliance with the License. You may obtain a copy of the License at
!> http://www.mozilla.org/MPL/
!>
!> Software distributed under the License is distributed on an "AS IS"
!> basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the
!> License for the specific language governing rights and limitations
!> under the License.
!>
!> The Original Code is OpenCMISS
!>
!> The Initial Developer of the Original Code is University of Auckland,
!> Auckland, New Zealand, the University of Oxford, Oxford, United
!> Kingdom and King's College, London, United Kingdom. Portions created
!> by the University of Auckland, the University of Oxford and King's
!> College, London are Copyright (C) 2007-2010 by the University of
!> Auckland, the University of Oxford and King's College, London.
!> All Rights Reserved.
!>
!> Contributor(s):
!>
!> Alternatively, the contents of this file may be used under the terms of
!> either the GNU General Public License Version 2 or later (the "GPL"), or
!> the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
!> in which case the provisions of the GPL or the LGPL are applicable instead
!> of those above. If you wish to allow use of your version of this file only
!> under the terms of either the GPL or the LGPL, and not to allow others to
!> use your version of this file under the terms of the MPL, indicate your
!> decision by deleting the provisions above and replace them with the notice
!> and other provisions required by the GPL or the LGPL. If you do not delete
!> the provisions above, a recipient may use your version of this file under
!> the terms of any one of the MPL, the GPL or the LGPL.
!>
!> This module contains all basis function routines.
MODULE BASIS_ROUTINES
USE BASE_ROUTINES
USE CONSTANTS
USE INPUT_OUTPUT
USE ISO_VARYING_STRING
USE KINDS
USE STRINGS
USE TYPES
IMPLICIT NONE
PRIVATE
!Module parameters
!> \addtogroup BASIS_ROUTINES_BasisTypes BASIS_ROUTINES::BasisTypes
!> \brief Basis definition type parameters
!> \todo Combine simplex and serendipity elements???
!> \see BASIS_ROUTINES,OPENCMISS_BasisTypes
!>@{
INTEGER(INTG), PARAMETER :: BASIS_LAGRANGE_HERMITE_TP_TYPE=1 !<Lagrange-Hermite tensor product basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_SIMPLEX_TYPE=2 !<Simplex basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_SERENDIPITY_TYPE=3 !<Serendipity basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_AUXILLIARY_TYPE=4 !<Auxillary basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_B_SPLINE_TP_TYPE=5 !<B-spline basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_FOURIER_LAGRANGE_HERMITE_TP_TYPE=6 !<Fourier-Lagrange tensor product basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_EXTENDED_LAGRANGE_TP_TYPE=7 !< Extendend Lagrange tensor product basis type \see BASIS_ROUTINES_BasisTypes,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_InterpolationSpecifications BASIS_ROUTINES::InterpolationSpecifications
!> \brief Interpolation specification parameters
!> \see BASIS_ROUTINES,OPENCMISS_InterpolationSpecifications
!>@{
INTEGER(INTG), PARAMETER :: BASIS_LINEAR_LAGRANGE_INTERPOLATION=1 !<Linear Lagrange interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC_LAGRANGE_INTERPOLATION=2 !<Quadratic Lagrange interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_CUBIC_LAGRANGE_INTERPOLATION=3 !<Cubic Lagrange interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_CUBIC_HERMITE_INTERPOLATION=4 !<Cubic Hermite interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC1_HERMITE_INTERPOLATION=5 !<Quadratic Hermite (no derivative at xi=0) interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC2_HERMITE_INTERPOLATION=6 !<Quadratic Hermite (no derivative at xi=1) interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_LINEAR_SIMPLEX_INTERPOLATION=7 !<Linear Simplex interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC_SIMPLEX_INTERPOLATION=8 !<Quadratic Simplex interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_CUBIC_SIMPLEX_INTERPOLATION=9 !<Cubic Simplex interpolation specification \see BASIS_ROUTINES_InterpolationSpecifications,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_InterpolationTypes BASIS_ROUTINES::InterpolationTypes
!> \brief Interpolation type parameters for a Xi direction
!> \see BASIS_ROUTINES
!>@{
INTEGER(INTG), PARAMETER :: BASIS_LAGRANGE_INTERPOLATION=1 !<Lagrange interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_HERMITE_INTERPOLATION=2 !<Hermite interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_SIMPLEX_INTERPOLATION=3 !<Simplex interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_SERENDIPITY_INTERPOLATION=4 !<Serendipity interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_TRANSITION_INTERPOLATION=5 !<Transition interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_SINGULAR_INTERPOLATION=6 !<Singular interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_FOURIER_INTERPOLATION=7 !<Fourier interpolation \see BASIS_ROUTINES_InterpolationTypes,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_InterpolationOrder BASIS_ROUTINES::InterpolationOrder
!> \brief Interpolation order for a Xi direction
!> \see BASIS_ROUTINES
!>@{
INTEGER(INTG), PARAMETER :: BASIS_LINEAR_INTERPOLATION_ORDER=1 !<Linear interpolation order \see BASIS_ROUTINES_InterpolationOrder,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC_INTERPOLATION_ORDER=2 !<Quadratic interpolation order \see BASIS_ROUTINES_InterpolationOrder,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_CUBIC_INTERPOLATION_ORDER=3 !<Cubic interpolation order \see BASIS_ROUTINES_InterpolationOrder,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC1_INTERPOLATION_ORDER=4 !<Quadratic (no derivative at xi=0) interpolation order \see BASIS_ROUTINES_InterpolationOrder,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_QUADRATIC2_INTERPOLATION_ORDER=5 !<Quadratic (no derivative at xi=1) interpolation order \see BASIS_ROUTINES_InterpolationOrder,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_QuadratureSchemes BASIS_ROUTINES::QuadratureSchemes
!> \brief Quadrature scheme parameters. NOTE: Quadratures schemes have not been implemented yet. For now you should just use the BASIS_DEFAULT_QUADRATURE_SCHEME.
!> \see BASIS_ROUTINES
!>@{
INTEGER(INTG), PARAMETER :: BASIS_NUMBER_OF_QUADRATURE_SCHEME_TYPES=4 !<The number of currently defined quadrature schemes \see BASIS_ROUTINES_QuadratureSchemes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_DEFAULT_QUADRATURE_SCHEME=1 !<Identifier for the default quadrature scheme \see BASIS_ROUTINES_QuadratureSchemes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_LOW_QUADRATURE_SCHEME=2 !<Identifier for a low order quadrature scheme \see BASIS_ROUTINES_QuadratureSchemes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_MID_QUADRATURE_SCHEME=3 !<Identifier for a mid order quadrature scheme \see BASIS_ROUTINES_QuadratureSchemes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_HIGH_QUADRATURE_SCHEME=4 !<Identifier for a high order quadrature scheme \see BASIS_ROUTINES_QuadratureSchemes,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_QuadratureTypes BASIS_ROUTINES::QuadratureTypes
!> \brief Quadrature type parameters
!> \see BASIS_ROUTINES,OPENCMISS_QuadratureTypes
!>@{
INTEGER(INTG), PARAMETER :: BASIS_GAUSS_LEGENDRE_QUADRATURE=1 !<Gauss-Legendre quadrature \see BASIS_ROUTINES_QuadratureTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_GAUSS_LAGUERRE_QUADRATURE=2 !<Gauss-Laguerre quadrature \see BASIS_ROUTINES_QuadratureTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_GUASS_HERMITE_QUADRATURE=3 !<Gauss-Hermite quadrature \see BASIS_ROUTINES_QuadratureTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_ADAPTIVE_GAUSS_LEGENDRE_QUADRATURE=4 !<Adaptive Gauss-Legendre quadrature \see BASIS_ROUTINES_QuadratureTypes,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_GAUSS_SIMPLEX_QUADRATURE=5 !<Gauss-Legendre for Simplex elements quadrature \see BASIS_ROUTINES_QuadratureTypes,BASIS_ROUTINES
!>@}
!> \addtogroup BASIS_ROUTINES_XiCollapse BASIS_ROUTINES::XiCollapse
!> \brief Xi collapse parameters
!> \see BASIS_ROUTINES
!>@{
INTEGER(INTG), PARAMETER :: BASIS_XI_COLLAPSED=1 !<The Xi direction is collapsed \see BASIS_ROUTINES_XiCollapse,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_COLLAPSED_AT_XI0=2 !<The Xi direction at the xi=0 end of this Xi direction is collapsed \see BASIS_ROUTINES_XiCollapse,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_COLLAPSED_AT_XI1=3 !<The Xi direction at the xi=1 end of this Xi direction is collapsed \see BASIS_ROUTINES_XiCollapse,BASIS_ROUTINES
INTEGER(INTG), PARAMETER :: BASIS_NOT_COLLAPSED=4 !<The Xi direction is not collapsed \see BASIS_ROUTINES_XiCollapse,BASIS_ROUTINES
!>@}
!!Module types
!
!!>Contains information on the defined basis functions
!TYPE BASIS_FUNCTIONS_TYPE
! PRIVATE
! INTEGER(INTG) :: NUMBER_BASIS_FUNCTIONS !<The number of basis functions definegd
! TYPE(BASIS_PTR_TYPE), POINTER :: BASES(:) !<The array of pointers to the defined basis functions
!END TYPE BASIS_FUNCTIONS_TYPE
!Module variables
TYPE(BASIS_FUNCTIONS_TYPE) :: BASIS_FUNCTIONS !<The tree of defined basis functions
!Interfaces
!>Evaluates the appropriate partial derivative index for the specificied basis function at a Xi location \see BASIS_ROUTINES
INTERFACE BASIS_EVALUATE_XI
MODULE PROCEDURE BASIS_EVALUATE_XI_DP
END INTERFACE !BASIS_EVALUATE_XI
!>Interpolates the appropriate partial derivative index of the elements parameters for basis function at a Gauss point \see BASIS_ROUTINES
INTERFACE BASIS_INTERPOLATE_GAUSS
MODULE PROCEDURE BASIS_INTERPOLATE_GAUSS_DP
END INTERFACE !BASIS_INTERPOLATE_GAUSS
!>Interpolates the appropriate partial derivative index of the elements parameters for basis function at Xi location \see BASIS_ROUTINES
INTERFACE BASIS_INTERPOLATE_XI
MODULE PROCEDURE BASIS_INTERPOLATE_XI_DP
END INTERFACE !BASIS_INTERPOLATE_XI
!>Interpolates the requested partial derivative index(ices) of the element parameters for basis function at a face Gauss point \see BASIS_ROUTINES
INTERFACE BASIS_INTERPOLATE_LOCAL_FACE_GAUSS
MODULE PROCEDURE BASIS_INTERPOLATE_LOCAL_FACE_GAUSS_DP
END INTERFACE !BASIS_INTERPOLATE_LOCAL_FACE_GAUSS
!>Sets/changes the interpolation type in each Xi direction for a basis
INTERFACE BASIS_INTERPOLATION_XI_SET
MODULE PROCEDURE BASIS_INTERPOLATION_XI_SET_NUMBER
MODULE PROCEDURE BASIS_INTERPOLATION_XI_SET_PTR
END INTERFACE !BASIS_INTERPOLATION_XI_SET
!>Sets/changes the number of Xi directions for a basis
INTERFACE BASIS_NUMBER_OF_XI_SET
MODULE PROCEDURE BASIS_NUMBER_OF_XI_SET_NUMBER
MODULE PROCEDURE BASIS_NUMBER_OF_XI_SET_PTR
END INTERFACE !BASIS_NUMBER_OF_XI_SET
!>Sets/changes the type for a basis.
INTERFACE BASIS_TYPE_SET
MODULE PROCEDURE BASIS_TYPE_SET_NUMBER
MODULE PROCEDURE BASIS_TYPE_SET_PTR
END INTERFACE !BASIS_TYPE_SET
!>Sets/changes the collapsed Xi flags for a basis.
INTERFACE BASIS_COLLAPSED_XI_SET
MODULE PROCEDURE BASIS_COLLAPSED_XI_SET_NUMBER
MODULE PROCEDURE BASIS_COLLAPSED_XI_SET_PTR
END INTERFACE !BASIS_COLLAPSED_XI_SET
!>Sets/changes the number of gauss in each Xi direction for a basis quadrature.
INTERFACE BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_SET
MODULE PROCEDURE BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_SET_NUMBER
MODULE PROCEDURE BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_SET_PTR
END INTERFACE !BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_SET
!>Sets/changes the order of a quadrature for a basis quadrature.
INTERFACE BASIS_QUADRATURE_ORDER_SET
MODULE PROCEDURE BASIS_QUADRATURE_ORDER_SET_NUMBER
MODULE PROCEDURE BASIS_QUADRATURE_ORDER_SET_PTR
END INTERFACE !BASIS_QUADRATURE_ORDER_SET
!>Sets/changes the quadrature type for a basis
INTERFACE BASIS_QUADRATURE_TYPE_SET
MODULE PROCEDURE BASIS_QUADRATURE_TYPE_SET_NUMBER
MODULE PROCEDURE BASIS_QUADRATURE_TYPE_SET_PTR
END INTERFACE !BASIS_QUADRATURE_TYPE_SET
INTERFACE SIMPLEX_LINEAR_EVALUATE
MODULE PROCEDURE SIMPLEX_LINEAR_EVALUATE_DP
END INTERFACE !SIMPLEX_LINEAR_EVALUATE
INTERFACE SIMPLEX_QUADRATIC_EVALUATE
MODULE PROCEDURE SIMPLEX_QUADRATIC_EVALUATE_DP
END INTERFACE !SIMPLEX_QUADRATIC_EVALUATE
INTERFACE SIMPLEX_CUBIC_EVALUATE
MODULE PROCEDURE SIMPLEX_CUBIC_EVALUATE_DP
END INTERFACE !SIMPLEX_CUBIC_EVALUATE
!>Evaluates the Lagrange/Hermite/Fourier tensor product basis function for the given basis
INTERFACE BASIS_LHTP_BASIS_EVALUATE
MODULE PROCEDURE BASIS_LHTP_BASIS_EVALUATE_DP
END INTERFACE !BASIS_LHTP_BASIS_EVALUATE
PUBLIC BASIS_LAGRANGE_HERMITE_TP_TYPE,BASIS_SIMPLEX_TYPE,BASIS_SERENDIPITY_TYPE,BASIS_AUXILLIARY_TYPE,BASIS_B_SPLINE_TP_TYPE, &
& BASIS_FOURIER_LAGRANGE_HERMITE_TP_TYPE,BASIS_EXTENDED_LAGRANGE_TP_TYPE
PUBLIC BASIS_LINEAR_LAGRANGE_INTERPOLATION,BASIS_QUADRATIC_LAGRANGE_INTERPOLATION,BASIS_CUBIC_LAGRANGE_INTERPOLATION, &
& BASIS_CUBIC_HERMITE_INTERPOLATION,BASIS_QUADRATIC1_HERMITE_INTERPOLATION,BASIS_QUADRATIC2_HERMITE_INTERPOLATION, &
& BASIS_LINEAR_SIMPLEX_INTERPOLATION,BASIS_QUADRATIC_SIMPLEX_INTERPOLATION,BASIS_CUBIC_SIMPLEX_INTERPOLATION
PUBLIC BASIS_LINEAR_INTERPOLATION_ORDER,BASIS_QUADRATIC_INTERPOLATION_ORDER,BASIS_CUBIC_INTERPOLATION_ORDER, &
& BASIS_QUADRATIC1_INTERPOLATION_ORDER,BASIS_QUADRATIC2_INTERPOLATION_ORDER
PUBLIC BASIS_DEFAULT_QUADRATURE_SCHEME,BASIS_LOW_QUADRATURE_SCHEME,BASIS_MID_QUADRATURE_SCHEME,BASIS_HIGH_QUADRATURE_SCHEME
PUBLIC BASIS_GAUSS_LEGENDRE_QUADRATURE,BASIS_GAUSS_LAGUERRE_QUADRATURE,BASIS_GUASS_HERMITE_QUADRATURE,&
& BASIS_ADAPTIVE_GAUSS_LEGENDRE_QUADRATURE,BASIS_GAUSS_SIMPLEX_QUADRATURE
PUBLIC BASIS_XI_COLLAPSED,BASIS_COLLAPSED_AT_XI0,BASIS_COLLAPSED_AT_XI1,BASIS_NOT_COLLAPSED, BASIS_FUNCTIONS
PUBLIC BASIS_COLLAPSED_XI_SET
PUBLIC BASIS_EVALUATE_XI
PUBLIC BASIS_INTERPOLATE_GAUSS,BASIS_INTERPOLATE_XI,BASIS_INTERPOLATE_LOCAL_FACE_GAUSS
PUBLIC BASIS_LOCAL_NODE_XI_CALCULATE
PUBLIC BASIS_NUMBER_OF_LOCAL_NODES_GET
PUBLIC BASIS_INTERPOLATION_XI_SET
PUBLIC BASIS_NUMBER_OF_XI_SET
PUBLIC BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_SET
PUBLIC BASIS_QUADRATURE_DESTROY,BASIS_QUADRATURE_ORDER_SET,BASIS_QUADRATURE_TYPE_SET
PUBLIC BASIS_TYPE_SET,BASIS_QUADRATURE_LOCAL_FACE_GAUSS_EVALUATE_SET
PUBLIC BASIS_CREATE_START,BASIS_CREATE_FINISH
PUBLIC BASIS_DESTROY
PUBLIC BASES_FINALISE,BASES_INITIALISE
PUBLIC BASIS_USER_NUMBER_FIND
PUBLIC BASIS_COLLAPSED_XI_GET,BASIS_INTERPOLATION_XI_GET,BASIS_NUMBER_OF_XI_GET,BASIS_QUADRATURE_NUMBER_OF_GAUSS_XI_GET, &
& BASIS_QUADRATURE_ORDER_GET,BASIS_QUADRATURE_TYPE_GET,BASIS_TYPE_GET
CONTAINS
!
!================================================================================================================================
!
!>Finalises the bases and deallocates all memory
SUBROUTINE BASES_FINALISE(ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
CALL ENTERS("BASES_FINALISE",ERR,ERROR,*999)
!Destroy any created basis functions
DO WHILE(BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS>0)
CALL BASIS_DESTROY(BASIS_FUNCTIONS%BASES(1)%PTR,ERR,ERROR,*999)
ENDDO !nb
!Destroy basis functions and deallocated any memory allocated
BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS=0
IF(ASSOCIATED(BASIS_FUNCTIONS%BASES)) DEALLOCATE(BASIS_FUNCTIONS%BASES)
CALL EXITS("BASES_FINALISE")
RETURN
999 CALL ERRORS("BASES_FINALISE",ERR,ERROR)
CALL EXITS("BASES_FINALISE")
RETURN 1
END SUBROUTINE BASES_FINALISE
!
!================================================================================================================================
!
!>Initialises the bases.
SUBROUTINE BASES_INITIALISE(ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
CALL ENTERS("BASES_INITIALISE",ERR,ERROR,*999)
BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS=0
NULLIFY(BASIS_FUNCTIONS%BASES)
CALL EXITS("BASES_INITIALISE")
RETURN
999 CALL ERRORS("BASES_INITIALISE",ERR,ERROR)
CALL EXITS("BASES_INITIALISE")
RETURN 1
END SUBROUTINE BASES_INITIALISE
!
!================================================================================================================================
!
!>Finishes the creation of a new basis \see BASIS_ROUTINES::BASIS_CREATE_START,OPENCMISS::BasisCreateFinish
SUBROUTINE BASIS_CREATE_FINISH(BASIS,ERR,ERROR,*)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis to finish the creation of
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: ni,nic,nn,nn1,nn2,nn3,nn4,ns,local_line_idx
TYPE(VARYING_STRING) :: LOCAL_ERROR
CALL ENTERS("BASIS_CREATE_FINISH",ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
SELECT CASE(BASIS%TYPE)
CASE(BASIS_LAGRANGE_HERMITE_TP_TYPE)
CALL BASIS_LHTP_FAMILY_CREATE(BASIS,ERR,ERROR,*999)
CASE(BASIS_SIMPLEX_TYPE)
CALL BASIS_SIMPLEX_FAMILY_CREATE(BASIS,ERR,ERROR,*999)
CASE DEFAULT
LOCAL_ERROR="Basis type "//TRIM(NUMBER_TO_VSTRING(BASIS%TYPE,"*",ERR,ERROR))//" is invalid or not implemented"
CALL FLAG_ERROR(LOCAL_ERROR,ERR,ERROR,*999)
END SELECT
BASIS%BASIS_FINISHED=.TRUE.
ELSE
CALL FLAG_ERROR("Basis is not associated",ERR,ERROR,*999)
ENDIF
IF(DIAGNOSTICS1) THEN
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE,"Basis user number = ",BASIS%USER_NUMBER,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Basis family number = ",BASIS%FAMILY_NUMBER,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Basis global number = ",BASIS%GLOBAL_NUMBER,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Basis type = ",BASIS%TYPE,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Basis degenerate = ",BASIS%DEGENERATE,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of Xi directions = ",BASIS%NUMBER_OF_XI,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of Xi coordinates = ",BASIS%NUMBER_OF_XI_COORDINATES,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_XI_COORDINATES,4,4,BASIS%INTERPOLATION_TYPE, &
& '(" Interpolation type(nic):",4(X,I2))','(25X,4(X,I2))',ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_XI_COORDINATES,4,4,BASIS%INTERPOLATION_ORDER, &
& '(" Interpolation order(nic):",4(X,I2))','(26X,4(X,I2))',ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_XI,3,3,BASIS%COLLAPSED_XI, &
& '(" Collapsed xi(ni):",3(X,I2))','(26X,3(X,I2))',ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of partial derivatives = ",BASIS%NUMBER_OF_PARTIAL_DERIVATIVES, &
& ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Total number of nodes = ",BASIS%NUMBER_OF_NODES,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_XI_COORDINATES,4,4,BASIS%NUMBER_OF_NODES_XIC, &
& '(" Number of nodes(nic):",4(X,I2))','(22X,4(X,I2))',ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_NODES,8,8,BASIS%NUMBER_OF_DERIVATIVES, &
& '(" Number of derivatives(nn):",8(X,I2))','(28X,8(X,I2))',ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of element parameters = ",BASIS%NUMBER_OF_ELEMENT_PARAMETERS, &
& ERR,ERROR,*999)
! CPB 23/07/07 Doxygen may or may not like this line for some reason????
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_NODES,8,8,BASIS%NODE_AT_COLLAPSE, &
& '(" Node at collapse(nn):",8(X,L1))','(23X,8(X,L1))',ERR,ERROR,*999)
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Node position index:",ERR,ERROR,*999)
DO nic=1,BASIS%NUMBER_OF_XI_COORDINATES
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = ",nic,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_NODES,16,16,BASIS%NODE_POSITION_INDEX(:,nic), &
& '(" INDEX(nn) :",16(X,I2))','(18X,16(X,I2))',ERR,ERROR,*999)
ENDDO !ni
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Inverse node position index:",ERR,ERROR,*999)
SELECT CASE(BASIS%NUMBER_OF_XI_COORDINATES)
CASE(1)
DO nn1=1,BASIS%NUMBER_OF_NODES_XIC(1)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 1, Node position index = ",nn1,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," INDEX = ",BASIS%NODE_POSITION_INDEX_INV(nn1,1,1,1), &
& ERR,ERROR,*999)
ENDDO !nn1
CASE(2)
DO nn2=1,BASIS%NUMBER_OF_NODES_XIC(2)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 2, Node position index = ",nn2,ERR,ERROR,*999)
DO nn1=1,BASIS%NUMBER_OF_NODES_XIC(1)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 1, Node position index = ",nn1,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," INDEX = ",BASIS%NODE_POSITION_INDEX_INV(nn1,nn2,1,1), &
& ERR,ERROR,*999)
ENDDO !nn1
ENDDO !nn2
CASE(3)
DO nn3=1,BASIS%NUMBER_OF_NODES_XIC(3)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 3, Node position index = ",nn3,ERR,ERROR,*999)
DO nn2=1,BASIS%NUMBER_OF_NODES_XIC(2)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 2, Node position index = ",nn2,ERR,ERROR,*999)
DO nn1=1,BASIS%NUMBER_OF_NODES_XIC(1)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 1, Node position index = ",nn1,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," INDEX = ",BASIS%NODE_POSITION_INDEX_INV(nn1,nn2,nn3,1), &
& ERR,ERROR,*999)
ENDDO !nn1
ENDDO !nn2
ENDDO !nn3
CASE(4)
DO nn4=1,BASIS%NUMBER_OF_NODES_XIC(4)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 4, Node position index = ",nn4,ERR,ERROR,*999)
DO nn3=1,BASIS%NUMBER_OF_NODES_XIC(3)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 3, Node position index = ",nn3,ERR,ERROR,*999)
DO nn2=1,BASIS%NUMBER_OF_NODES_XIC(2)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 2, Node position index = ",nn2,ERR,ERROR,*999)
DO nn1=1,BASIS%NUMBER_OF_NODES_XIC(1)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xic = 1, Node position index = ",nn1,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," INDEX = " &
& ,BASIS%NODE_POSITION_INDEX_INV(nn1,nn2,nn3,nn4),ERR,ERROR,*999)
ENDDO !nn1
ENDDO !nn2
ENDDO !nn3
ENDDO !nn4
CASE DEFAULT
CALL FLAG_ERROR("Invalid number of xi coordinates",ERR,ERROR,*999)
END SELECT
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Derivative order index:",ERR,ERROR,*999)
DO ni=1,BASIS%NUMBER_OF_XI
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Xi = ",ni,ERR,ERROR,*999)
DO nn=1,BASIS%NUMBER_OF_NODES
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Node = ",nn,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_DERIVATIVES(nn),8,8, &
& BASIS%DERIVATIVE_ORDER_INDEX(:,nn,ni),'(" INDEX(nk):",8(X,I2))','(18X,8(X,I2))',ERR,ERROR,*999)
ENDDO !nn
ENDDO !ni
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Inverse derivative order index:",ERR,ERROR,*999)
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Element parameter index:",ERR,ERROR,*999)
DO nn=1,BASIS%NUMBER_OF_NODES
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Node = ",nn,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_DERIVATIVES(nn),8,8, &
& BASIS%ELEMENT_PARAMETER_INDEX(:,nn),'(" INDEX(nk) :",8(X,I2))','(18X,8(X,I2))',ERR,ERROR,*999)
ENDDO !nn
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Inverse element parameter index:",ERR,ERROR,*999)
DO ns=1,BASIS%NUMBER_OF_ELEMENT_PARAMETERS
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Element parameter = ",ns,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,2,2,2, &
& BASIS%ELEMENT_PARAMETER_INDEX_INV(:,ns),'(" INDEX(:) :",2(X,I2))','(18X,2(X,I2))',ERR,ERROR,*999)
ENDDO !ns
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Partial derivative index:",ERR,ERROR,*999)
DO nn=1,BASIS%NUMBER_OF_NODES
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Node = ",nn,ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_DERIVATIVES(nn),8,8, &
& BASIS%PARTIAL_DERIVATIVE_INDEX(:,nn),'(" INDEX(nk) :",8(X,I2))','(18X,8(X,I2))',ERR,ERROR,*999)
ENDDO !nn
CALL WRITE_STRING(DIAGNOSTIC_OUTPUT_TYPE," Local lines:",ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of local lines = ",BASIS%NUMBER_OF_LOCAL_LINES,ERR,ERROR,*999)
DO local_line_idx=1,BASIS%NUMBER_OF_LOCAL_LINES
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Local line = ",local_line_idx,ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Local line xi direction = ", &
& BASIS%LOCAL_LINE_XI_DIRECTION(local_line_idx),ERR,ERROR,*999)
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of nodes in local line = ", &
& BASIS%NUMBER_OF_NODES_IN_LOCAL_LINE(local_line_idx),ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_NODES_IN_LOCAL_LINE(local_line_idx),4,4, &
& BASIS%NODE_NUMBERS_IN_LOCAL_LINE(:,local_line_idx),'(" Nodes in local line :",4(X,I2))','(33X,4(X,I2))', &
& ERR,ERROR,*999)
CALL WRITE_STRING_VECTOR(DIAGNOSTIC_OUTPUT_TYPE,1,1,BASIS%NUMBER_OF_NODES_IN_LOCAL_LINE(local_line_idx),4,4, &
& BASIS%DERIVATIVE_NUMBERS_IN_LOCAL_LINE(:,local_line_idx),'(" Derivatives in local line :",4(X,I2))', &
& '(33X,4(X,I2))',ERR,ERROR,*999)
IF(BASIS%NUMBER_OF_XI==2) THEN
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Local line xi normal = ", &
& BASIS%LOCAL_XI_NORMAL(local_line_idx),ERR,ERROR,*999)
ENDIF
ENDDO !ni
CALL WRITE_STRING_VALUE(DIAGNOSTIC_OUTPUT_TYPE," Number of sub-bases = ",BASIS%NUMBER_OF_SUB_BASES,ERR,ERROR,*999)
ENDIF
CALL EXITS("BASIS_CREATE_FINISH")
RETURN
999 CALL ERRORS("BASIS_CREATE_FINISH",ERR,ERROR)
CALL EXITS("BASIS_CREATE_FINISH")
RETURN 1
END SUBROUTINE BASIS_CREATE_FINISH
!
!================================================================================================================================
!
!>Starts the creation of a new basis
!>The default values of the BASIS attributes are:
!>- TYPE: 1 (BASIS_LAGRANGE_HERMITE_TP_TYPE)
!>- NUMBER_OF_XI: 3
!>- INTERPOLATION_XI: (1,1,1) (BASIS_LINEAR_LAGRANGE_INTERPOLATIONs)
!>- INTERPOLATION_TYPE: (1,1,1) (BASIS_LAGRANGE_INTERPOLATIONs)
!>- INTERPOLATION_ORDER: (1,1,1) (BASIS_LINEAR_INTERPOLATION_ORDERs)
!>- DEGENERATE: false
!>- COLLAPSED_XI: (4,4,4) (BASIS_NOT_COLLAPSEDs)
!>- QUADRATURE:
!> - TYPE: 1 (BASIS_LAGRANGE_HERMITE_TP_TYPE)
!> - NUMBER_OF_GAUSS_XI: (2,2,2)
!> - GAUSS_ORDER: 0
SUBROUTINE BASIS_CREATE_START(USER_NUMBER,BASIS,ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(IN) :: USER_NUMBER !<The user number of the basis to start the creation of
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the created basis. Must not be associated on entry.
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: nb
TYPE(BASIS_TYPE), POINTER :: NEW_BASIS
TYPE(BASIS_PTR_TYPE), POINTER :: NEW_BASES(:)
NULLIFY(NEW_BASIS)
NULLIFY(NEW_BASES)
CALL ENTERS("BASIS_CREATE_START",ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
CALL FLAG_ERROR("Basis is already associated",ERR,ERROR,*999)
ELSE
!See if basis number has already been created
CALL BASIS_USER_NUMBER_FIND(USER_NUMBER,BASIS,ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
CALL FLAG_ERROR("Basis number is already defined",ERR,ERROR,*999)
ELSE
!Allocate new basis function and add it to the basis functions
ALLOCATE(NEW_BASES(BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS+1),STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate NEW_BASES",ERR,ERROR,*999)
ALLOCATE(NEW_BASIS,STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate NEW_BASIS",ERR,ERROR,*999)
CALL BASIS_INITIALISE(NEW_BASIS,ERR,ERROR,*999)
DO nb=1,BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS
NEW_BASES(nb)%PTR=>BASIS_FUNCTIONS%BASES(nb)%PTR
ENDDO !nb
BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS=BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS+1
NEW_BASES(BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS)%PTR=>NEW_BASIS
IF(ASSOCIATED(BASIS_FUNCTIONS%BASES)) DEALLOCATE(BASIS_FUNCTIONS%BASES)
BASIS_FUNCTIONS%BASES=>NEW_BASES
!Initialise the new basis function pointers
NEW_BASIS%NUMBER_OF_SUB_BASES=0
NULLIFY(NEW_BASIS%SUB_BASES)
NULLIFY(NEW_BASIS%PARENT_BASIS)
!Set the basis parameters
NEW_BASIS%BASIS_FINISHED=.FALSE.
NEW_BASIS%USER_NUMBER=USER_NUMBER
NEW_BASIS%FAMILY_NUMBER=0
NEW_BASIS%GLOBAL_NUMBER=BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS
!Set the default basis parameters
NEW_BASIS%TYPE=BASIS_LAGRANGE_HERMITE_TP_TYPE
NEW_BASIS%NUMBER_OF_XI=3
ALLOCATE(NEW_BASIS%INTERPOLATION_XI(3),STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate basis interpolation xi",ERR,ERROR,*999)
NEW_BASIS%INTERPOLATION_XI=(/BASIS_LINEAR_LAGRANGE_INTERPOLATION,BASIS_LINEAR_LAGRANGE_INTERPOLATION, &
& BASIS_LINEAR_LAGRANGE_INTERPOLATION/)
ALLOCATE(NEW_BASIS%COLLAPSED_XI(3),STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate basis collapsed xi",ERR,ERROR,*999)
NEW_BASIS%COLLAPSED_XI=BASIS_NOT_COLLAPSED
!Initialise the basis quadrature
NULLIFY(NEW_BASIS%QUADRATURE%BASIS)
CALL BASIS_QUADRATURE_INITIALISE(NEW_BASIS,ERR,ERROR,*999)
BASIS=>NEW_BASIS
ENDIF
ENDIF
CALL EXITS("BASIS_CREATE_START")
RETURN
999 IF(ASSOCIATED(NEW_BASIS)) CALL BASIS_DESTROY(NEW_BASIS,ERR,ERROR,*998)
998 IF(ASSOCIATED(NEW_BASES)) DEALLOCATE(NEW_BASES)
NULLIFY(BASIS)
CALL ERRORS("BASIS_CREATE_START",ERR,ERROR)
CALL EXITS("BASIS_CREATE_START")
RETURN 1
END SUBROUTINE BASIS_CREATE_START
!
!================================================================================================================================
!
!>Destroys a basis identified by its basis user number \see BASIS_ROUTINES::BASIS_DESTROY_FAMILY,OPENCMISS::CMISSBasisDestroy
RECURSIVE SUBROUTINE BASIS_DESTROY_NUMBER(USER_NUMBER,ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(IN) :: USER_NUMBER !<The user number of the basis to destroy
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
CALL ENTERS("BASIS_DESTROY_NUMBER",ERR,ERROR,*999)
CALL BASIS_FAMILY_DESTROY(USER_NUMBER,0,ERR,ERROR,*999)
CALL EXITS("BASIS_DESTROY_NUMBER")
RETURN
999 CALL ERRORS("BASIS_DESTROY_NUMBER",ERR,ERROR)
CALL EXITS("BASIS_DESTROY_NUMBER")
RETURN 1
END SUBROUTINE BASIS_DESTROY_NUMBER
!
!================================================================================================================================
!
!>Destroys a basis. \see BASIS_ROUTINES::BASIS_DESTROY_FAMILY,OPENCMISS::CMISSBasisDestroy
RECURSIVE SUBROUTINE BASIS_DESTROY(BASIS,ERR,ERROR,*)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis to destroy
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: USER_NUMBER
CALL ENTERS("BASIS_DESTROY",ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
USER_NUMBER=BASIS%USER_NUMBER
CALL BASIS_FAMILY_DESTROY(USER_NUMBER,0,ERR,ERROR,*999)
!NULLIFY(BASIS)
ELSE
CALL FLAG_ERROR("Basis is not associated.",ERR,ERROR,*999)
ENDIF
CALL EXITS("BASIS_DESTROY")
RETURN
999 CALL ERRORS("BASIS_DESTROY",ERR,ERROR)
CALL EXITS("BASIS_DESTROY")
RETURN 1
END SUBROUTINE BASIS_DESTROY
!
!================================================================================================================================
!
!>Evaluates the appropriate partial derivative index at position XI for the basis for double precision arguments.
!>Note for simplex basis functions the XI coordinates should exclude the last area coordinate.
FUNCTION BASIS_EVALUATE_XI_DP(BASIS,ELEMENT_PARAMETER_INDEX,PARTIAL_DERIV_INDEX,XI,ERR,ERROR)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis
INTEGER(INTG), INTENT(IN) :: ELEMENT_PARAMETER_INDEX !<The element parameter index to evaluate i.e., the local basis index within the element basis.
INTEGER(INTG), INTENT(IN) :: PARTIAL_DERIV_INDEX !<The partial derivative index to evaluate \see CONSTANTS_PartialDerivativeConstants
REAL(DP), INTENT(IN) :: XI(:) !<The Xi position to evaluate the basis function at
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Function variable
REAL(DP) :: BASIS_EVALUATE_XI_DP
!Local Variables
INTEGER(INTG) :: nn,nk
REAL(DP) :: XIL(SIZE(XI,1)+1)
TYPE(VARYING_STRING) :: LOCAL_ERROR
CALL ENTERS("BASIS_EVALUATE_XI_DP",ERR,ERROR,*999)
BASIS_EVALUATE_XI_DP=0.0_DP
IF(ASSOCIATED(BASIS)) THEN
IF(ELEMENT_PARAMETER_INDEX>0.AND.ELEMENT_PARAMETER_INDEX<=BASIS%NUMBER_OF_ELEMENT_PARAMETERS) THEN
SELECT CASE(BASIS%TYPE)
CASE(BASIS_LAGRANGE_HERMITE_TP_TYPE)
nn=BASIS%ELEMENT_PARAMETER_INDEX_INV(1,ELEMENT_PARAMETER_INDEX)
nk=BASIS%ELEMENT_PARAMETER_INDEX_INV(2,ELEMENT_PARAMETER_INDEX)
BASIS_EVALUATE_XI_DP=BASIS_LHTP_BASIS_EVALUATE(BASIS,nn,nk,PARTIAL_DERIV_INDEX,XI,ERR,ERROR)
IF(ERR/=0) GOTO 999
CASE(BASIS_SIMPLEX_TYPE)
!Create the area coordinates from the xi coordinates
XIL(1:SIZE(XI,1))=1.0_DP-XI
XIL(SIZE(XI,1)+1)=SUM(XI)-(SIZE(XI,1)-1.0_DP)
nn=BASIS%ELEMENT_PARAMETER_INDEX_INV(1,ELEMENT_PARAMETER_INDEX)
BASIS_EVALUATE_XI_DP=BASIS_SIMPLEX_BASIS_EVALUATE(BASIS,nn,PARTIAL_DERIV_INDEX,XIL,ERR,ERROR)
IF(ERR/=0) GOTO 999
CASE DEFAULT
LOCAL_ERROR="Basis type "//TRIM(NUMBER_TO_VSTRING(BASIS%TYPE,"*",ERR,ERROR))//" is invalid or not implemented."
CALL FLAG_ERROR(LOCAL_ERROR,ERR,ERROR,*999)
END SELECT
ELSE
LOCAL_ERROR="The specified element parameter index of "// &
& TRIM(NUMBER_TO_VSTRING(ELEMENT_PARAMETER_INDEX,"*",ERR,ERROR))// &
& " is invalid. The index must be > 0 and <= "// &
& TRIM(NUMBER_TO_VSTRING(BASIS%NUMBER_OF_ELEMENT_PARAMETERS,"*",ERR,ERROR))//"."
CALL FLAG_ERROR(LOCAL_ERROR,ERR,ERROR,*999)
ENDIF
ELSE
CALL FLAG_ERROR("Basis is not associated.",ERR,ERROR,*999)
ENDIF
CALL EXITS("BASIS_EVALUATE_XI_DP")
RETURN
999 CALL ERRORS("BASIS_EVALUATE_XI_DP",ERR,ERROR)
CALL EXITS("BASIS_EVALUATE_XI_DP")
RETURN
END FUNCTION BASIS_EVALUATE_XI_DP
!
!================================================================================================================================
!
!>Destroys a basis identified by its basis user number and family number. Called from the library visible routine BASIS_DESTROY
!> \see BASIS_ROUTINES::BASIS_DESTROY
RECURSIVE SUBROUTINE BASIS_FAMILY_DESTROY(USER_NUMBER,FAMILY_NUMBER,ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(IN) :: USER_NUMBER !<The user number of the basis to destroy
INTEGER(INTG), INTENT(IN) :: FAMILY_NUMBER !<The family number of the basis to destroy
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: count,nb
TYPE(BASIS_TYPE), POINTER :: BASIS
TYPE(BASIS_PTR_TYPE), POINTER :: NEW_SUB_BASES(:)
CALL ENTERS("BASIS_FAMILY_DESTROY",ERR,ERROR,*999)
NULLIFY(BASIS)
CALL BASIS_FAMILY_NUMBER_FIND(USER_NUMBER,FAMILY_NUMBER,BASIS,ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
!!NOTE: We have to find a pointer to the basis to destroy within this routine rather than passing in a pointer to a
!!DESTROY_BASIS_PTR type routine because we need to change BASIS%SUB_BASES of the PARENT basis and this would violate section
!!12.4.1.6 of the Fortran standard if the dummy BASIS pointer argument was associated with the SUB_BASES(x)%PTR actual
!!argument.
IF(BASIS%NUMBER_OF_SUB_BASES==0) THEN
!No more sub-bases so delete this instance
IF(ASSOCIATED(BASIS%PARENT_BASIS)) THEN
!Sub-basis function - delete this instance from the PARENT_BASIS
NULLIFY(NEW_SUB_BASES)
IF(BASIS%PARENT_BASIS%NUMBER_OF_SUB_BASES>1) THEN
!If the parent basis has more than one sub basis then remove this instance from its sub-bases list
ALLOCATE(NEW_SUB_BASES(BASIS%PARENT_BASIS%NUMBER_OF_SUB_BASES-1),STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate new sub-bases",ERR,ERROR,*999)
count=0
DO nb=1,BASIS%PARENT_BASIS%NUMBER_OF_SUB_BASES
IF(BASIS%PARENT_BASIS%SUB_BASES(nb)%PTR%USER_NUMBER==BASIS%USER_NUMBER.AND. &
& BASIS%PARENT_BASIS%SUB_BASES(nb)%PTR%FAMILY_NUMBER/=BASIS%FAMILY_NUMBER) THEN
count=count+1
NEW_SUB_BASES(count)%PTR=>BASIS%PARENT_BASIS%SUB_BASES(nb)%PTR
ENDIF
ENDDO
ENDIF
BASIS%PARENT_BASIS%NUMBER_OF_SUB_BASES=BASIS%PARENT_BASIS%NUMBER_OF_SUB_BASES-1
IF(ASSOCIATED(BASIS%PARENT_BASIS%SUB_BASES)) DEALLOCATE(BASIS%PARENT_BASIS%SUB_BASES)
BASIS%PARENT_BASIS%SUB_BASES=>NEW_SUB_BASES
ELSE
!Master basis function - delete this instance from BASIS_FUNCTIONS
NULLIFY(NEW_SUB_BASES)
IF(BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS>1) THEN
!If there is more than one basis defined then remove this instance from the basis functions
ALLOCATE(NEW_SUB_BASES(BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS-1),STAT=ERR)
IF(ERR/=0) CALL FLAG_ERROR("Could not allocate new sub-bases",ERR,ERROR,*999)
count=0
DO nb=1,BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS
IF(BASIS_FUNCTIONS%BASES(nb)%PTR%USER_NUMBER/=BASIS%USER_NUMBER.AND. &
& BASIS_FUNCTIONS%BASES(nb)%PTR%FAMILY_NUMBER==0) THEN
count=count+1
NEW_SUB_BASES(count)%PTR=>BASIS_FUNCTIONS%BASES(nb)%PTR
ENDIF
ENDDO
ENDIF
IF(ASSOCIATED(BASIS_FUNCTIONS%BASES)) DEALLOCATE(BASIS_FUNCTIONS%BASES)
BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS=BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS-1
BASIS_FUNCTIONS%BASES=>NEW_SUB_BASES
ENDIF
CALL BASIS_FINALISE(BASIS,ERR,ERROR,*999)
ELSE
!Recursively delete sub-bases first
DO WHILE(BASIS%NUMBER_OF_SUB_BASES>0)
CALL BASIS_FAMILY_DESTROY(BASIS%SUB_BASES(1)%PTR%USER_NUMBER,BASIS%SUB_BASES(1)%PTR%FAMILY_NUMBER,ERR,ERROR,*999)
ENDDO
!Now delete this instance
CALL BASIS_FAMILY_DESTROY(USER_NUMBER,FAMILY_NUMBER,ERR,ERROR,*999)
ENDIF
ELSE
CALL FLAG_ERROR("Basis user number does not exist",ERR,ERROR,*999)
ENDIF
CALL EXITS("BASIS_FAMILY_DESTROY")
RETURN
999 CALL ERRORS("BASIS_FAMILY_DESTROY",ERR,ERROR)
CALL EXITS("BASIS_FAMILY_DESTROY")
RETURN 1
END SUBROUTINE BASIS_FAMILY_DESTROY
!
!================================================================================================================================
!
!>Finds and returns in BASIS a pointer to the basis with the given USER_NUMBER and FAMILY_NUMBER. If no basis with that
!>number and family number exists then BASIS is returned nullified \see BASIS_ROUTINES::BASIS_USER_NUMBER_FIND
RECURSIVE SUBROUTINE BASIS_FAMILY_NUMBER_FIND(USER_NUMBER,FAMILY_NUMBER,BASIS,ERR,ERROR,*)
!Argument variables
INTEGER(INTG), INTENT(IN) :: USER_NUMBER !<The user number of the basis to find
INTEGER(INTG), INTENT(IN) :: FAMILY_NUMBER !<The family number of the basis to find
TYPE(BASIS_TYPE), POINTER :: BASIS !<On exit, A pointer to the basis. If no basis with the specified user and family numbers can be found the pointer is not associated.
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
INTEGER(INTG) :: nb,nsb
TYPE(BASIS_TYPE), POINTER :: SUB_BASIS
CALL ENTERS("BASIS_FAMILY_NUMBER_FIND",ERR,ERROR,*999)
NULLIFY(BASIS)
nb=1
DO WHILE(nb<=BASIS_FUNCTIONS%NUMBER_BASIS_FUNCTIONS.AND..NOT.ASSOCIATED(BASIS))
IF(BASIS_FUNCTIONS%BASES(nb)%PTR%USER_NUMBER==USER_NUMBER) THEN
IF(FAMILY_NUMBER==0) THEN
BASIS=>BASIS_FUNCTIONS%BASES(nb)%PTR
ELSE
!!TODO: \todo This only works for one level of sub-bases at the moment
nsb=1
DO WHILE(nsb<=BASIS_FUNCTIONS%BASES(nb)%PTR%NUMBER_OF_SUB_BASES.AND..NOT.ASSOCIATED(BASIS))
SUB_BASIS=>BASIS_FUNCTIONS%BASES(nb)%PTR%SUB_BASES(nsb)%PTR
IF(SUB_BASIS%FAMILY_NUMBER==FAMILY_NUMBER) THEN
BASIS=>SUB_BASIS
ELSE
nsb=nsb+1
ENDIF
ENDDO
ENDIF
ELSE
nb=nb+1
ENDIF
END DO
CALL EXITS("BASIS_FAMILY_NUMBER_FIND")
RETURN
999 CALL ERRORS("BASIS_FAMILY_NUMBER_FIND",ERR,ERROR)
CALL EXITS("BASIS_FAMILY_NUMBER_FIND")
RETURN 1
END SUBROUTINE BASIS_FAMILY_NUMBER_FIND
!
!================================================================================================================================
!
!>Finalises a basis and deallocates all memory.
SUBROUTINE BASIS_FINALISE(BASIS,ERR,ERROR,*)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis to finalise
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
CALL ENTERS("BASIS_FINALISE",ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
IF(ALLOCATED(BASIS%INTERPOLATION_XI)) DEALLOCATE(BASIS%INTERPOLATION_XI)
IF(ALLOCATED(BASIS%INTERPOLATION_TYPE)) DEALLOCATE(BASIS%INTERPOLATION_TYPE)
IF(ALLOCATED(BASIS%INTERPOLATION_ORDER)) DEALLOCATE(BASIS%INTERPOLATION_ORDER)
IF(ALLOCATED(BASIS%COLLAPSED_XI)) DEALLOCATE(BASIS%COLLAPSED_XI)
IF(ALLOCATED(BASIS%NODE_AT_COLLAPSE)) DEALLOCATE(BASIS%NODE_AT_COLLAPSE)
CALL BASIS_QUADRATURE_FINALISE(BASIS,ERR,ERROR,*999)
IF(ALLOCATED(BASIS%NUMBER_OF_NODES_XIC)) DEALLOCATE(BASIS%NUMBER_OF_NODES_XIC)
IF(ALLOCATED(BASIS%NUMBER_OF_DERIVATIVES)) DEALLOCATE(BASIS%NUMBER_OF_DERIVATIVES)
IF(ALLOCATED(BASIS%NODE_POSITION_INDEX)) DEALLOCATE(BASIS%NODE_POSITION_INDEX)
IF(ALLOCATED(BASIS%NODE_POSITION_INDEX_INV)) DEALLOCATE(BASIS%NODE_POSITION_INDEX_INV)
IF(ALLOCATED(BASIS%DERIVATIVE_ORDER_INDEX)) DEALLOCATE(BASIS%DERIVATIVE_ORDER_INDEX)
IF(ALLOCATED(BASIS%DERIVATIVE_ORDER_INDEX_INV)) DEALLOCATE(BASIS%DERIVATIVE_ORDER_INDEX_INV)
IF(ALLOCATED(BASIS%PARTIAL_DERIVATIVE_INDEX)) DEALLOCATE(BASIS%PARTIAL_DERIVATIVE_INDEX)
IF(ALLOCATED(BASIS%ELEMENT_PARAMETER_INDEX)) DEALLOCATE(BASIS%ELEMENT_PARAMETER_INDEX)
IF(ALLOCATED(BASIS%ELEMENT_PARAMETER_INDEX_INV)) DEALLOCATE(BASIS%ELEMENT_PARAMETER_INDEX_INV)
IF(ALLOCATED(BASIS%LOCAL_LINE_XI_DIRECTION)) DEALLOCATE(BASIS%LOCAL_LINE_XI_DIRECTION)
IF(ALLOCATED(BASIS%NUMBER_OF_NODES_IN_LOCAL_LINE)) DEALLOCATE(BASIS%NUMBER_OF_NODES_IN_LOCAL_LINE)
IF(ALLOCATED(BASIS%NODE_NUMBERS_IN_LOCAL_LINE)) DEALLOCATE(BASIS%NODE_NUMBERS_IN_LOCAL_LINE)
IF(ALLOCATED(BASIS%DERIVATIVE_NUMBERS_IN_LOCAL_LINE)) DEALLOCATE(BASIS%DERIVATIVE_NUMBERS_IN_LOCAL_LINE)
IF(ALLOCATED(BASIS%LOCAL_FACE_XI_DIRECTION)) DEALLOCATE(BASIS%LOCAL_FACE_XI_DIRECTION)
IF(ALLOCATED(BASIS%NUMBER_OF_NODES_IN_LOCAL_FACE)) DEALLOCATE(BASIS%NUMBER_OF_NODES_IN_LOCAL_FACE)
IF(ALLOCATED(BASIS%NODE_NUMBERS_IN_LOCAL_FACE)) DEALLOCATE(BASIS%NODE_NUMBERS_IN_LOCAL_FACE)
IF(ALLOCATED(BASIS%DERIVATIVE_NUMBERS_IN_LOCAL_FACE)) DEALLOCATE(BASIS%DERIVATIVE_NUMBERS_IN_LOCAL_FACE)
IF(ALLOCATED(BASIS%LOCAL_XI_NORMAL)) DEALLOCATE(BASIS%LOCAL_XI_NORMAL)
IF(ASSOCIATED(BASIS%LINE_BASES)) DEALLOCATE(BASIS%LINE_BASES)
IF(ASSOCIATED(BASIS%FACE_BASES)) DEALLOCATE(BASIS%FACE_BASES)
IF(ASSOCIATED(BASIS%SUB_BASES)) DEALLOCATE(BASIS%SUB_BASES)
DEALLOCATE(BASIS)
ENDIF
CALL EXITS("BASIS_FINALISE")
RETURN
999 CALL ERRORS("BASIS_FINALISE",ERR,ERROR)
CALL EXITS("BASIS_FINALISE")
RETURN 1
END SUBROUTINE BASIS_FINALISE
!
!================================================================================================================================
!
!>Initialises a basis.
SUBROUTINE BASIS_INITIALISE(BASIS,ERR,ERROR,*)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis to initialise
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Local Variables
CALL ENTERS("BASIS_INITIALISE",ERR,ERROR,*999)
IF(ASSOCIATED(BASIS)) THEN
BASIS%USER_NUMBER=0
BASIS%GLOBAL_NUMBER=0
BASIS%FAMILY_NUMBER=0
BASIS%BASIS_FINISHED=.FALSE.
BASIS%HERMITE=.FALSE.
BASIS%TYPE=0
BASIS%NUMBER_OF_XI=0
BASIS%NUMBER_OF_XI_COORDINATES=0
BASIS%DEGENERATE=.FALSE.
BASIS%NUMBER_OF_COLLAPSED_XI=0
BASIS%NUMBER_OF_PARTIAL_DERIVATIVES=0
BASIS%NUMBER_OF_NODES=0
BASIS%NUMBER_OF_ELEMENT_PARAMETERS=0
BASIS%MAXIMUM_NUMBER_OF_DERIVATIVES=0
BASIS%NUMBER_OF_LOCAL_LINES=0
BASIS%NUMBER_OF_LOCAL_FACES=0
NULLIFY(BASIS%LINE_BASES)
NULLIFY(BASIS%FACE_BASES)
BASIS%NUMBER_OF_SUB_BASES=0
NULLIFY(BASIS%SUB_BASES)
NULLIFY(BASIS%PARENT_BASIS)
ELSE
CALL FLAG_ERROR("Basis is not associated.",ERR,ERROR,*999)
ENDIF
CALL EXITS("BASIS_INITIALISE")
RETURN
999 CALL ERRORS("BASIS_INITIALISE",ERR,ERROR)
CALL EXITS("BASIS_INITIALISE")
RETURN 1
END SUBROUTINE BASIS_INITIALISE
!
!================================================================================================================================
!
!>Interpolates the appropriate partial derivative index of the element parameters at a gauss point for the basis
!>for double precision arguments. Note the interpolated value returned needs to be adjusted for the particular
!!>coordinate system with COORDINATE_INTERPOLATE_ADJUST.
FUNCTION BASIS_INTERPOLATE_GAUSS_DP(BASIS,PARTIAL_DERIV_INDEX,QUADRATURE_SCHEME,GAUSS_POINT_NUMBER,ELEMENT_PARAMETERS,ERR,ERROR)
!Argument variables
TYPE(BASIS_TYPE), POINTER :: BASIS !<A pointer to the basis
INTEGER(INTG), INTENT(IN) :: PARTIAL_DERIV_INDEX !<The partial derivative index to interpolate \see CONSTANTS_PartialDerivativeConstants
INTEGER(INTG), INTENT(IN) :: QUADRATURE_SCHEME !<The quadrature scheme to use \see BASIS_ROUTINE_QuadratureSchemes
INTEGER(INTG), INTENT(IN) :: GAUSS_POINT_NUMBER !<The Gauss point number in the scheme to interpolte
REAL(DP), INTENT(IN) :: ELEMENT_PARAMETERS(:) !<The element parameters to interpolate
INTEGER(INTG), INTENT(OUT) :: ERR !<The error code
TYPE(VARYING_STRING), INTENT(OUT) :: ERROR !<The error string
!Function variable
REAL(DP) :: BASIS_INTERPOLATE_GAUSS_DP
!Local Variables
INTEGER(INTG) :: ns
TYPE(QUADRATURE_SCHEME_TYPE), POINTER :: BASIS_QUADRATURE_SCHEME
TYPE(VARYING_STRING) :: LOCAL_ERROR