forcad_nurbs_curve

This module defines the 'nurbs_curve' type for representing a Non-Uniform Rational B-Spline (NURBS) curve.

Uses

- forcad_kinds
- forcad_utils
- fordebug
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Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.
Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Interfaces

public interface compute_Tgc

private pure function compute_Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)

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

private pure function compute_Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng

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

private pure function compute_Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Wc(:)

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

private pure function compute_Tgc_bspline_1d_scalar(Xt, knot, degree, nc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc

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

public interface compute_dTgc

private pure subroutine compute_dTgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_dTgc_bspline_1d_vector(Xt, knot, degree, nc, ng, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_dTgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, dTgc, Tgc, elem)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	Xt
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:)
integer,	intent(in),	optional,	contiguous	::	elem(:)

private pure subroutine compute_dTgc_bspline_1d_scalar(Xt, knot, degree, nc, dTgc, Tgc, elem)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	Xt
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
real(kind=rk),	intent(out),		allocatable	::	dTgc(:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:)
integer,	intent(in),	optional,	contiguous	::	elem(:)

private interface compute_Xg

private pure function compute_Xg_nurbs_1d(Xt, knot, degree, nc, ng, Xc, Wc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Xc(:,:)
real(kind=rk),	intent(in),		contiguous	::	Wc(:)

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

private pure function compute_Xg_bspline_1d(Xt, knot, degree, nc, ng, Xc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Xc(:,:)

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

private pure function compute_Xg_nurbs_1d_1point(Xt, knot, degree, nc, Xc, Wc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Xc(:,:)
real(kind=rk),	intent(in),	contiguous	::	Wc(:)

Return Value real(kind=rk), (size(Xc,2))

private pure function compute_Xg_bspline_1d_1point(Xt, knot, degree, nc, Xc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Xc(:,:)

Return Value real(kind=rk), (size(Xc,2))

private interface compute_d2Tgc

private pure subroutine compute_d2Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	d2Tgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_d2Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(out),		allocatable	::	d2Tgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_d2Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Wc(:)
real(kind=rk),	intent(out),	allocatable	::	d2Tgc(:)
real(kind=rk),	intent(out),	allocatable	::	dTgc(:)
real(kind=rk),	intent(out),	allocatable	::	Tgc(:)

private pure subroutine compute_d2Tgc_bspline_1d_scalar(Xt, knot, degree, nc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(out),	allocatable	::	d2Tgc(:)
real(kind=rk),	intent(out),	allocatable	::	dTgc(:)
real(kind=rk),	intent(out),	allocatable	::	Tgc(:)

Derived Types

type, public :: nurbs_curve

Components

Type	Visibility	Attributes		Name
type(debug),	public		::	err	101: size mismatch (weights vs control points), 102: missing control points, 103: missing knot vector, 104: missing geometry points, 105: missing weights, 106: lsq fit underdetermined
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 Read more…
generic, public :: basis => basis_vector, basis_scalar	Compute the basis functions of the NURBS curve Read more…
procedure, public :: cmp_Xg	Compute geometry points Read more…
procedure, public :: cmp_degree	Compute degree of the NURBS curve Read more…
procedure, public :: cmp_elem	Generate IGA element connectivity Read more…
procedure, public :: cmp_elem_Xc_vis	Generate connectivity for control points Read more…
procedure, public :: cmp_elem_Xg_vis	Generate connectivity for geometry points Read more…
procedure, public :: cmp_elem_Xth	Generate connectivity for parameter points Read more…
procedure, public :: cmp_length	Compute the length of the NURBS curve Read more…
procedure, public :: cmp_nc	Compute number of required control points Read more…
procedure, public :: create	Generate geometry points Read more…
generic, public :: derivative => derivative_vector, derivative_scalar	Compute the derivative of the NURBS curve Read more…
generic, public :: derivative2 => derivative2_vector, derivative2_scalar	Compute the second derivative of the NURBS curve Read more…
procedure, public :: elevate_degree	Elevate the degree of the curve Read more…
procedure, public :: export_Xc	Export control points to VTK file Read more…
procedure, public :: export_Xg	Export geometry points to VTK file Read more…
procedure, public :: export_Xth	Export parameter space to VTK file Read more…
procedure, public :: export_iges	Export the NURBS curve to an IGES file Read more…
procedure, public :: finalize	Finalize the NURBS curve object Read more…
generic, public :: get_Wc => get_Wc_all, get_Wci	Get weights Read more…
generic, public :: get_Xc => get_Xc_all, get_Xci, get_Xcid	Get control points Read more…
generic, public :: get_Xg => get_Xg_all, get_Xgi, get_Xgid	Get geometry points Read more…
procedure, public :: get_Xt	Get parameter values Read more…
procedure, public :: get_continuity	Compute and return the continuity of the curve Read more…
procedure, public :: get_degree	Get degree of the NURBS curve Read more…
procedure, public :: get_elem	Get IGA element connectivity Read more…
procedure, public :: get_elem_Xc_vis	Get connectivity for control points Read more…
procedure, public :: get_elem_Xg_vis	Get connectivity for geometry points Read more…
generic, public :: get_knot => get_knoti, get_knot_all	Get knot vector Read more…
procedure, public :: get_multiplicity	Compute and return the multiplicity of the knots Read more…
procedure, public :: get_nc	Get number of control points Read more…
procedure, public :: get_ng	Get number of geometry points Read more…
procedure, public :: insert_knots	Insert knots into the knot vector Read more…
procedure, public :: is_rational	Check if the NURBS curve is rational Read more…
procedure, public :: lsq_fit_bspline	Fit B-spline curve to structured data points using least squares Read more…
procedure, public :: lsq_fit_nurbs	Fit NURBS curve to structured data points using least squares Read more…
procedure, public :: modify_Wc	Modify weights Read more…
procedure, public :: modify_Xc	Modify control points Read more…
procedure, public :: nearest_point	Find the nearest point on the NURBS curve (Approximation) Read more…
procedure, public :: nearest_point2	Find the nearest point on the NURBS curve (Minimization - Newtons method) Read more…
procedure, public :: remove_knots	Remove knots from the knot vector Read more…
procedure, public :: rotate_Xc	Rotate control points Read more…
procedure, public :: rotate_Xg	Rotate geometry points Read more…
generic, public :: set => set1, set1a, set2, set3, set4	Set NURBS curve Read more…
procedure, public :: set_C	Set a C-shape Read more…
procedure, public :: set_circle	Set a circle Read more…
procedure, public :: set_elem	Set IGA element connectivity Read more…
procedure, public :: set_elem_Xc_vis	Set connectivity for control points Read more…
procedure, public :: set_elem_Xg_vis	Set connectivity for geometry points Read more…
procedure, public :: set_half_circle	Set a half circle Read more…
procedure, public :: show	Show the NURBS object using PyVista Read more…
procedure, public :: translate_Xc	Translate control points Read more…
procedure, public :: translate_Xg	Translate geometry points Read more…
procedure, private :: basis_scalar	Compute the basis functions of the NURBS curve Read more…
procedure, private :: basis_vector	Compute the basis functions of the NURBS curve Read more…
procedure, private :: derivative2_scalar	Compute the second derivative of the NURBS curve Read more…
procedure, private :: derivative2_vector	Compute the second derivative of the NURBS curve Read more…
procedure, private :: derivative_scalar	Compute the derivative of the NURBS curve Read more…
procedure, private :: derivative_vector	Compute the derivative of the NURBS curve Read more…
procedure, private :: get_Wc_all	Get all weights Read more…
procedure, private :: get_Wci	Get i-th weight Read more…
procedure, private :: get_Xc_all	Get all control points Read more…
procedure, private :: get_Xci	Get i-th control point Read more…
procedure, private :: get_Xcid	Get i-th control point in a specific direction Read more…
procedure, private :: get_Xg_all	Get all geometry points Read more…
procedure, private :: get_Xgi	Get i-th geometry point Read more…
procedure, private :: get_Xgid	Get i-th geometry point in a specific direction Read more…
procedure, private :: get_knot_all	Get all knot vectors Read more…
procedure, private :: get_knoti	Get i-th knot value Read more…
procedure, private :: set1	Set knot vector, control points and weights for the NURBS curve object Read more…
procedure, private :: set1a
procedure, private :: set2	Set NURBS curve using nodes of parameter space, degree, continuity, control points and weights Read more…
procedure, private :: set3	Set Bezier or Rational Bezier curve using control points and weights Read more…
procedure, private :: set4	Set NURBS curve using degree, number of control points, control points and weights Read more…

Functions

private pure function cmp_Tgc_1d(Xti, knot, nc, degree, Wc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xti
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	nc
integer,	intent(in)		::	degree
real(kind=rk),	intent(in),	contiguous	::	Wc(:)

Return Value real(kind=rk), (nc)

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

private pure function cmp_elem(this) result(elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

private pure function cmp_elem_Xth(this, p) result(elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

private pure function compute_Tgc_bspline_1d_scalar(Xt, knot, degree, nc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc

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

private pure function compute_Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng

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

private pure function compute_Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Wc(:)

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

private pure function compute_Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc) result(Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)

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

private pure function compute_Xg_bspline_1d(Xt, knot, degree, nc, ng, Xc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Xc(:,:)

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

private pure function compute_Xg_bspline_1d_1point(Xt, knot, degree, nc, Xc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Xc(:,:)

Return Value real(kind=rk), (size(Xc,2))

private pure function compute_Xg_nurbs_1d(Xt, knot, degree, nc, ng, Xc, Wc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Xc(:,:)
real(kind=rk),	intent(in),		contiguous	::	Wc(:)

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

private pure function compute_Xg_nurbs_1d_1point(Xt, knot, degree, nc, Xc, Wc) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Xc(:,:)
real(kind=rk),	intent(in),	contiguous	::	Wc(:)

Return Value real(kind=rk), (size(Xc,2))

private pure function get_Wc_all(this) result(Wc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value real(kind=rk)

private pure function get_Xc_all(this) result(Xc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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	Intent	Optional	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	Intent		Name
class(nurbs_curve),	intent(in)	::	this
integer,	intent(in)	::	n
integer,	intent(in)	::	dir

Return Value real(kind=rk)

private pure function get_Xg_all(this) result(Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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	Intent	Optional	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	Intent		Name
class(nurbs_curve),	intent(in)	::	this
integer,	intent(in)	::	n
integer,	intent(in)	::	dir

Return Value real(kind=rk)

private pure function get_Xt(this) result(Xt)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

private pure function get_continuity(this) result(c)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:)

private pure function get_degree(this) result(degree)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer

private pure function get_elem(this) result(elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

private pure function get_elem_Xc_vis(this) result(elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

private pure function get_elem_Xg_vis(this) result(elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:,:)

private pure function get_knot_all(this) result(knot)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value real(kind=rk)

private pure function get_multiplicity(this) result(m)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer, allocatable, (:)

private pure function get_nc(this) result(nc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer

private pure function get_ng(this) result(ng)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value integer

private pure function is_rational(this) result(r)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

Return Value logical

Subroutines

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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
integer,	intent(in),	optional		::	ngauss

private pure subroutine basis_scalar(this, Xt, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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 cmp_degree(this)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine cmp_length(this, length, ngauss)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional		Name
class(nurbs_curve),	intent(inout)		::	this
real(kind=rk),	intent(out)		::	length
integer,	intent(in),	optional	::	ngauss

private pure subroutine cmp_nc(this)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine compute_d2Tgc_bspline_1d_scalar(Xt, knot, degree, nc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(out),	allocatable	::	d2Tgc(:)
real(kind=rk),	intent(out),	allocatable	::	dTgc(:)
real(kind=rk),	intent(out),	allocatable	::	Tgc(:)

private pure subroutine compute_d2Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(out),		allocatable	::	d2Tgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_d2Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
real(kind=rk),	intent(in)		::	Xt
real(kind=rk),	intent(in),	contiguous	::	knot(:)
integer,	intent(in)		::	degree
integer,	intent(in)		::	nc
real(kind=rk),	intent(in),	contiguous	::	Wc(:)
real(kind=rk),	intent(out),	allocatable	::	d2Tgc(:)
real(kind=rk),	intent(out),	allocatable	::	dTgc(:)
real(kind=rk),	intent(out),	allocatable	::	Tgc(:)

private pure subroutine compute_d2Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, d2Tgc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	d2Tgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_dTgc_bspline_1d_scalar(Xt, knot, degree, nc, dTgc, Tgc, elem)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	Xt
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
real(kind=rk),	intent(out),		allocatable	::	dTgc(:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:)
integer,	intent(in),	optional,	contiguous	::	elem(:)

private pure subroutine compute_dTgc_bspline_1d_vector(Xt, knot, degree, nc, ng, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine compute_dTgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, dTgc, Tgc, elem)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in)			::	Xt
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:)
integer,	intent(in),	optional,	contiguous	::	elem(:)

private pure subroutine compute_dTgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, dTgc, Tgc)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	knot(:)
integer,	intent(in)			::	degree
integer,	intent(in)			::	nc
integer,	intent(in),	optional		::	ng
real(kind=rk),	intent(in),		contiguous	::	Wc(:)
real(kind=rk),	intent(out),		allocatable	::	dTgc(:,:)
real(kind=rk),	intent(out),		allocatable	::	Tgc(:,:)

private pure subroutine create(this, res, Xt)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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(:)

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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 derivative_scalar(this, Xt, dTgc, Tgc, elem)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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,	contiguous	::	elem(:)

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	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 elevate_degree(this, t, B, Bs)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
integer,	intent(in)			::	t
real(kind=rk),	intent(out),	optional,	allocatable	::	B(:,:)
real(kind=rk),	intent(out),	optional,	allocatable	::	Bs(:,:)

private impure subroutine export_Xc(this, filename, point_data, field_names, encoding)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
character(len=*),	intent(in)			::	filename
real(kind=rk),	intent(in),	optional,	contiguous	::	point_data(:,:)
character(len=*),	intent(in),	optional,	contiguous	::	field_names(:)
character(len=*),	intent(in),	optional		::	encoding

private impure subroutine export_Xg(this, filename, point_data, field_names, encoding)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
character(len=*),	intent(in)			::	filename
real(kind=rk),	intent(in),	optional,	contiguous	::	point_data(:,:)
character(len=*),	intent(in),	optional,	contiguous	::	field_names(:)
character(len=*),	intent(in),	optional		::	encoding

private impure subroutine export_Xth(this, filename, point_data, field_names, encoding)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(in)			::	this
character(len=*),	intent(in)			::	filename
real(kind=rk),	intent(in),	optional,	contiguous	::	point_data(:,:)
character(len=*),	intent(in),	optional,	contiguous	::	field_names(:)
character(len=*),	intent(in),	optional		::	encoding

private impure subroutine export_iges(this, filename)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure elemental subroutine finalize(this)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine insert_knots(this, Xth, r, B, Bs)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
real(kind=rk),	intent(in),		contiguous	::	Xth(:)
integer,	intent(in),		contiguous	::	r(:)
real(kind=rk),	intent(out),	optional,	allocatable	::	B(:,:)
real(kind=rk),	intent(out),	optional,	allocatable	::	Bs(:,:)

private pure subroutine lsq_fit_bspline(this, Xt, Xdata, ndata)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Attributes		Name
class(nurbs_curve),	intent(inout)		::	this
real(kind=rk),	intent(in),	contiguous	::	Xt(:)
real(kind=rk),	intent(in),	contiguous	::	Xdata(:,:)
integer,	intent(in)		::	ndata

private pure subroutine lsq_fit_nurbs(this, Xt, Xdata, ndata, maxit, tol, lambda_xc, mu0, reg_logw)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
real(kind=rk),	intent(in),		contiguous	::	Xt(:)
real(kind=rk),	intent(in),		contiguous	::	Xdata(:,:)
integer,	intent(in)			::	ndata
integer,	intent(in),	optional		::	maxit
real(kind=rk),	intent(in),	optional		::	tol
real(kind=rk),	intent(in),	optional		::	lambda_xc
real(kind=rk),	intent(in),	optional		::	mu0
real(kind=rk),	intent(in),	optional		::	reg_logw

private pure subroutine modify_Wc(this, W, num)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(in)			::	this
real(kind=rk),	intent(in),		contiguous	::	point_Xg(:)
real(kind=rk),	intent(out),	optional		::	nearest_Xg(size(point_Xg))
real(kind=rk),	intent(out),	optional		::	nearest_Xt
integer,	intent(out),	optional		::	id

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent	Optional	Attributes		Name
class(nurbs_curve),	intent(inout)			::	this
real(kind=rk),	intent(in),		contiguous	::	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		::	nearest_Xg(size(this%Xc,2))

private pure subroutine remove_knots(this, Xth, r)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent		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

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

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

Type	Intent		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

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	Intent	Optional	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	Intent	Optional	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	Intent	Optional	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),	optional,	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	Intent	Optional	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	Intent	Optional	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(:)

private pure subroutine set_C(this, center, radius)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine set_circle(this, center, radius)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine set_elem(this, elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine set_elem_Xc_vis(this, elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine set_elem_Xg_vis(this, elemConn)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine set_half_circle(this, center, radius)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private impure subroutine show(this, vtkfile_Xc, vtkfile_Xg)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine translate_Xc(this, vec)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

private pure subroutine translate_Xg(this, vec)

Author: Seyed Ali Ghasemi
License: BSD 3-Clause

Arguments

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

forcad_nurbs_curve Module

Contents

Interfaces

Derived Types

Functions

Subroutines

Uses

Used by

Interfaces

public interface compute_Tgc

private pure function compute_Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc) result(Tgc)

Arguments

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

private pure function compute_Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng) result(Tgc)

Arguments

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

private pure function compute_Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc) result(Tgc)

Arguments

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

private pure function compute_Tgc_bspline_1d_scalar(Xt, knot, degree, nc) result(Tgc)

Arguments

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

public interface compute_dTgc

private pure subroutine compute_dTgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, dTgc, Tgc)

Arguments

private pure subroutine compute_dTgc_bspline_1d_vector(Xt, knot, degree, nc, ng, dTgc, Tgc)

Arguments

private pure subroutine compute_dTgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, dTgc, Tgc, elem)

Arguments

private pure subroutine compute_dTgc_bspline_1d_scalar(Xt, knot, degree, nc, dTgc, Tgc, elem)

Arguments

private interface compute_Xg

private pure function compute_Xg_nurbs_1d(Xt, knot, degree, nc, ng, Xc, Wc) result(Xg)

Arguments

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

private pure function compute_Xg_bspline_1d(Xt, knot, degree, nc, ng, Xc) result(Xg)

Arguments

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

private pure function compute_Xg_nurbs_1d_1point(Xt, knot, degree, nc, Xc, Wc) result(Xg)

Arguments

Return Value real(kind=rk), (size(Xc,2))

private pure function compute_Xg_bspline_1d_1point(Xt, knot, degree, nc, Xc) result(Xg)

Arguments

Return Value real(kind=rk), (size(Xc,2))

private interface compute_d2Tgc

private pure subroutine compute_d2Tgc_nurbs_1d_vector(Xt, knot, degree, nc, ng, Wc, d2Tgc, dTgc, Tgc)

Arguments

private pure subroutine compute_d2Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng, d2Tgc, dTgc, Tgc)

Arguments

private pure subroutine compute_d2Tgc_nurbs_1d_scalar(Xt, knot, degree, nc, Wc, d2Tgc, dTgc, Tgc)

Arguments

private pure subroutine compute_d2Tgc_bspline_1d_scalar(Xt, knot, degree, nc, d2Tgc, dTgc, Tgc)

Arguments

Derived Types

type, public :: nurbs_curve

Components

Type-Bound Procedures

Functions

private pure function cmp_Tgc_1d(Xti, knot, nc, degree, Wc) result(Tgc)

Arguments

Return Value real(kind=rk), (nc)

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

Arguments

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

private pure function cmp_elem(this) result(elemConn)

Arguments

Return Value integer, allocatable, (:,:)

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

Arguments

Return Value integer, allocatable, (:,:)

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

Arguments

Return Value integer, allocatable, (:,:)

private pure function cmp_elem_Xth(this, p) result(elemConn)

Arguments

Return Value integer, allocatable, (:,:)

private pure function compute_Tgc_bspline_1d_scalar(Xt, knot, degree, nc) result(Tgc)

Arguments

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

private pure function compute_Tgc_bspline_1d_vector(Xt, knot, degree, nc, ng) result(Tgc)