nurbs_curve Derived Type

type, public :: nurbs_curve


Components

Type Visibility Attributes Name Initial
real(kind=rk), private, allocatable :: Wc(:)

Weights for control points (1D array: [nc])
real(kind=rk), private, allocatable :: Xc(:,:)

Control points (2D array: [nc, dim])
real(kind=rk), private, allocatable :: Xg(:,:)

Geometry points (2D array: [ng, dim])
real(kind=rk), private, allocatable :: Xt(:)

Evaluation points (1D array: [ng])
integer, private :: degree

Degree (order) of the curve
integer, private, allocatable :: elemConn(:,:)

IGA element connectivity
integer, private, allocatable :: elemConn_Xc_vis(:,:)

Connectivity for visualization of control points
integer, private, allocatable :: elemConn_Xg_vis(:,:)

Connectivity for visualization of geometry points
real(kind=rk), private, allocatable :: knot(:)

Knot vector (1D array)
integer, private :: nc

Number of control points
integer, private :: ng

Number of geometry points

Type-Bound Procedures

procedure, public :: ansatz

Compute the shape functions, derivative of shape functions and dL

  • private pure subroutine ansatz(this, ie, ig, Tgc, dTgc_dXg, dL)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in) :: ie
    integer, intent(in) :: ig
    real(kind=rk), intent(out), allocatable :: Tgc(:)
    real(kind=rk), intent(out), allocatable :: dTgc_dXg(:,:)
    real(kind=rk), intent(out) :: dL

generic, public :: basis => basis_vector, basis_scalar

Compute the basis functions of the NURBS curve

  • private pure subroutine basis_vector(this, res, Xt, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: Tgc(:,:)

  • private pure subroutine basis_scalar(this, Xt, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: Tgc(:)

procedure, public :: cmp_Xg

Compute geometry points

  • private pure function cmp_Xg(this, Xt) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    real(kind=rk), intent(in) :: Xt

    Return Value real(kind=rk), allocatable, (:)

procedure, public :: cmp_degree

Compute degree of the NURBS curve

  • private pure subroutine cmp_degree(this)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this

procedure, public :: cmp_elem

Generate IGA element connectivity

  • private pure function cmp_elem(this) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:,:)

procedure, public :: cmp_elem_Xc_vis

Generate connectivity for control points

  • private pure function cmp_elem_Xc_vis(this, p) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in), optional :: p

    Return Value integer, allocatable, (:,:)

procedure, public :: cmp_elem_Xg_vis

Generate connectivity for geometry points

  • private pure function cmp_elem_Xg_vis(this, p) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in), optional :: p

    Return Value integer, allocatable, (:,:)

procedure, public :: cmp_length

Compute the length of the NURBS curve

  • private pure subroutine cmp_length(this, length)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(out) :: length

procedure, public :: cmp_nc

Compute number of required control points

  • private pure subroutine cmp_nc(this)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this

procedure, public :: create

Generate geometry points

  • private pure subroutine create(this, res, Xt)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)

generic, public :: derivative => derivative_vector, derivative_scalar

Compute the derivative of the NURBS curve

  • private pure subroutine derivative_vector(this, res, Xt, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: dTgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:,:)

  • private pure subroutine derivative_scalar(this, Xt, dTgc, Tgc, elem)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: dTgc(:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:)
    integer, intent(in), optional :: elem(:)

generic, public :: derivative2 => derivative2_vector, derivative2_scalar

Compute the second derivative of the NURBS curve

  • private pure subroutine derivative2_vector(this, res, Xt, d2Tgc, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: d2Tgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: dTgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:,:)

  • private pure subroutine derivative2_scalar(this, Xt, d2Tgc, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: d2Tgc(:)
    real(kind=rk), intent(out), optional, allocatable :: dTgc(:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:)

procedure, public :: elevate_degree

Elevate the degree of the curve

  • private pure subroutine elevate_degree(this, t)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in) :: t

procedure, public :: export_Xc

Export control points to VTK file

  • private impure subroutine export_Xc(this, filename)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    character(len=*), intent(in) :: filename

procedure, public :: export_Xg

Export geometry points to VTK file

  • private impure subroutine export_Xg(this, filename)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    character(len=*), intent(in) :: filename

procedure, public :: finalize

Finalize the NURBS curve object

  • private pure subroutine finalize(this)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this

generic, public :: get_Wc => get_Wc_all, get_Wci

Get weights

  • private pure function get_Wc_all(this) result(Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:)

  • private pure function get_Wci(this, n) result(Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk)

generic, public :: get_Xc => get_Xc_all, get_Xci, get_Xcid

Get control points

  • private pure function get_Xc_all(this) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:,:)

  • private pure function get_Xci(this, n) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk), allocatable, (:)

  • private pure function get_Xcid(this, n, dir) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: n
    integer, intent(in) :: dir

    Return Value real(kind=rk)

generic, public :: get_Xg => get_Xg_all, get_Xgi, get_Xgid

Get geometry points

  • private pure function get_Xg_all(this) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:,:)

  • private pure function get_Xgi(this, n) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk), allocatable, (:)

  • private pure function get_Xgid(this, n, dir) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: n
    integer, intent(in) :: dir

    Return Value real(kind=rk)

procedure, public :: get_Xt

Get parameter values

  • private pure function get_Xt(this) result(Xt)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:)

procedure, public :: get_continuity

Compute and return the continuity of the curve

  • private pure function get_continuity(this) result(c)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:)

procedure, public :: get_degree

Get degree of the NURBS curve

  • private pure function get_degree(this) result(degree)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer

procedure, public :: get_elem

Get IGA element connectivity

  • private pure function get_elem(this) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:,:)

procedure, public :: get_elem_Xc_vis

Get connectivity for control points

  • private pure function get_elem_Xc_vis(this) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:,:)

procedure, public :: get_elem_Xg_vis

Get connectivity for geometry points

  • private pure function get_elem_Xg_vis(this) result(elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:,:)

generic, public :: get_knot => get_knoti, get_knot_all

Get knot vector

  • private pure function get_knoti(this, i) result(knot)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: i

    Return Value real(kind=rk)

  • private pure function get_knot_all(this) result(knot)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:)

procedure, public :: get_multiplicity

Compute and return the multiplicity of the knots

  • private pure function get_multiplicity(this) result(m)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer, allocatable, (:)

procedure, public :: get_nc

Get number of control points

  • private pure function get_nc(this) result(nc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer

procedure, public :: get_ng

Get number of geometry points

  • private pure function get_ng(this) result(ng)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value integer

procedure, public :: insert_knots

Insert knots into the knot vector

  • private pure subroutine insert_knots(this, Xth, r)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xth(:)
    integer, intent(in), contiguous :: r(:)

procedure, public :: is_rational

Check if the NURBS curve is rational

  • private pure function is_rational(this) result(r)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value logical

procedure, public :: modify_Wc

Modify weights

  • private pure subroutine modify_Wc(this, W, num)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: W
    integer, intent(in) :: num

procedure, public :: modify_Xc

Modify control points

  • private pure subroutine modify_Xc(this, X, num, dir)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: X
    integer, intent(in) :: num
    integer, intent(in) :: dir

procedure, public :: nearest_point

Find the nearest point on the NURBS curve (Approximation)

  • private pure subroutine nearest_point(this, point_Xg, nearest_Xg, nearest_Xt, id)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    real(kind=rk), intent(in) :: point_Xg(:)
    real(kind=rk), intent(out), optional, allocatable :: nearest_Xg(:)
    real(kind=rk), intent(out), optional :: nearest_Xt
    integer, intent(out), optional :: id

procedure, public :: nearest_point2

Find the nearest point on the NURBS curve (Minimization - Newton's method)

  • private impure subroutine nearest_point2(this, point_Xg, tol, maxit, nearest_Xt, nearest_Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: point_Xg(:)
    real(kind=rk), intent(in) :: tol
    integer, intent(in) :: maxit
    real(kind=rk), intent(out) :: nearest_Xt
    real(kind=rk), intent(out), optional, allocatable :: nearest_Xg(:)

procedure, public :: remove_knots

Remove knots from the knot vector

  • private pure subroutine remove_knots(this, Xth, r)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xth(:)
    integer, intent(in), contiguous :: r(:)

procedure, public :: rotate_Xc

Rotate control points

  • private pure subroutine rotate_Xc(this, alpha, beta, theta)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: alpha
    real(kind=rk), intent(in) :: beta
    real(kind=rk), intent(in) :: theta

procedure, public :: rotate_Xg

Rotate geometry points

  • private pure subroutine rotate_Xg(this, alpha, beta, theta)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: alpha
    real(kind=rk), intent(in) :: beta
    real(kind=rk), intent(in) :: theta

generic, public :: set => set1, set1a, set2, set3, set4

Set NURBS curve

  • private pure subroutine set1(this, knot, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set knot vector, control points and weights for the NURBS curve object.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: knot(:)
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

  • private pure subroutine set1a(this, knot, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set knot vector, control points and weights for the NURBS curve object.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: knot(:)
    real(kind=rk), intent(in), contiguous :: Xc(:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

  • private pure subroutine set2(this, Xth_dir, degree, continuity, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set NURBS curve using nodes of parameter space (Xth), degree, continuity, control points and weights.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xth_dir(:)
    integer, intent(in) :: degree
    integer, intent(in), contiguous :: continuity(:)
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

  • private pure subroutine set3(this, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set Bezier or Rational Bezier curve using control points and weights.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

  • private pure subroutine set4(this, degree, nc, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in) :: degree
    integer, intent(in) :: nc
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set1

Set knot vector, control points and weights for the NURBS curve object

  • private pure subroutine set1(this, knot, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set knot vector, control points and weights for the NURBS curve object.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: knot(:)
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set1a

  • private pure subroutine set1a(this, knot, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set knot vector, control points and weights for the NURBS curve object.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: knot(:)
    real(kind=rk), intent(in), contiguous :: Xc(:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set2

Set NURBS curve using nodes of parameter space, degree, continuity, control points and weights

  • private pure subroutine set2(this, Xth_dir, degree, continuity, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set NURBS curve using nodes of parameter space (Xth), degree, continuity, control points and weights.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xth_dir(:)
    integer, intent(in) :: degree
    integer, intent(in), contiguous :: continuity(:)
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set3

Set Bezier or Rational Bezier curve using control points and weights

  • private pure subroutine set3(this, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Set Bezier or Rational Bezier curve using control points and weights.

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set4

Set NURBS curve using degree, number of control points, control points and weights

  • private pure subroutine set4(this, degree, nc, Xc, Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in) :: degree
    integer, intent(in) :: nc
    real(kind=rk), intent(in), contiguous :: Xc(:,:)
    real(kind=rk), intent(in), optional, contiguous :: Wc(:)

procedure, public :: set_C

Set a C-shape

  • private pure subroutine set_C(this, center, radius)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: center(:)
    real(kind=rk), intent(in) :: radius

procedure, public :: set_circle

Set a circle

  • private pure subroutine set_circle(this, center, radius)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: center(:)
    real(kind=rk), intent(in) :: radius

procedure, public :: set_elem

Set IGA element connectivity

  • private pure subroutine set_elem(this, elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), contiguous :: elemConn(:,:)

procedure, public :: set_elem_Xc_vis

Set connectivity for control points

  • private pure subroutine set_elem_Xc_vis(this, elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), contiguous :: elemConn(:,:)

procedure, public :: set_elem_Xg_vis

Set connectivity for geometry points

  • private pure subroutine set_elem_Xg_vis(this, elemConn)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), contiguous :: elemConn(:,:)

procedure, public :: set_half_circle

Set a half circle

  • private pure subroutine set_half_circle(this, center, radius)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in), contiguous :: center(:)
    real(kind=rk), intent(in) :: radius

procedure, public :: show

Show the NURBS object using PyVista

  • private impure subroutine show(this, vtkfile_Xc, vtkfile_Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    character(len=*), intent(in) :: vtkfile_Xc
    character(len=*), intent(in) :: vtkfile_Xg

procedure, public :: translate_Xc

Translate control points

  • private pure subroutine translate_Xc(this, vec)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: vec(:)

procedure, public :: translate_Xg

Translate geometry points

  • private pure subroutine translate_Xg(this, vec)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: vec(:)

procedure, private :: basis_scalar

Compute the basis functions of the NURBS curve

  • private pure subroutine basis_scalar(this, Xt, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: Tgc(:)

procedure, private :: basis_vector

Compute the basis functions of the NURBS curve

  • private pure subroutine basis_vector(this, res, Xt, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: Tgc(:,:)

procedure, private :: derivative2_scalar

Compute the second derivative of the NURBS curve

  • private pure subroutine derivative2_scalar(this, Xt, d2Tgc, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: d2Tgc(:)
    real(kind=rk), intent(out), optional, allocatable :: dTgc(:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:)

procedure, private :: derivative2_vector

Compute the second derivative of the NURBS curve

  • private pure subroutine derivative2_vector(this, res, Xt, d2Tgc, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: d2Tgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: dTgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:,:)

procedure, private :: derivative_scalar

Compute the derivative of the NURBS curve

  • private pure subroutine derivative_scalar(this, Xt, dTgc, Tgc, elem)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    real(kind=rk), intent(in) :: Xt
    real(kind=rk), intent(out), allocatable :: dTgc(:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:)
    integer, intent(in), optional :: elem(:)

procedure, private :: derivative_vector

Compute the derivative of the NURBS curve

  • private pure subroutine derivative_vector(this, res, Xt, dTgc, Tgc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(inout) :: this
    integer, intent(in), optional :: res
    real(kind=rk), intent(in), optional, contiguous :: Xt(:)
    real(kind=rk), intent(out), allocatable :: dTgc(:,:)
    real(kind=rk), intent(out), optional, allocatable :: Tgc(:,:)

procedure, private :: get_Wc_all

Get all weights

  • private pure function get_Wc_all(this) result(Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:)

procedure, private :: get_Wci

Get i-th weight

  • private pure function get_Wci(this, n) result(Wc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk)

procedure, private :: get_Xc_all

Get all control points

  • private pure function get_Xc_all(this) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:,:)

procedure, private :: get_Xci

Get i-th control point

  • private pure function get_Xci(this, n) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk), allocatable, (:)

procedure, private :: get_Xcid

Get i-th control point in a specific direction

  • private pure function get_Xcid(this, n, dir) result(Xc)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: n
    integer, intent(in) :: dir

    Return Value real(kind=rk)

procedure, private :: get_Xg_all

Get all geometry points

  • private pure function get_Xg_all(this) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:,:)

procedure, private :: get_Xgi

Get i-th geometry point

  • private pure function get_Xgi(this, n) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

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

    Return Value real(kind=rk), allocatable, (:)

procedure, private :: get_Xgid

Get i-th geometry point in a specific direction

  • private pure function get_Xgid(this, n, dir) result(Xg)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: n
    integer, intent(in) :: dir

    Return Value real(kind=rk)

procedure, private :: get_knot_all

Get all knot vectors

  • private pure function get_knot_all(this) result(knot)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this

    Return Value real(kind=rk), allocatable, (:)

procedure, private :: get_knoti

Get i-th knot value

  • private pure function get_knoti(this, i) result(knot)

    Author
    Seyed Ali Ghasemi
    License
    BSD 3-Clause

    Arguments

    Type IntentOptional Attributes Name
    class(nurbs_curve), intent(in) :: this
    integer, intent(in) :: i

    Return Value real(kind=rk)