cad_curve Type Reference

Detailed Description

CAD curve class.

A curve is defined in terms of the parametric coordinate \( u \) as

\[ r (u) = \frac{\sum_0^n x_i \omega_i f^n_i (u) }{\sum_0^n \omega_i f^n_i (u)} \]

where \( n+1 \) is the order of the curve, \( \omega_i, x_i \) are the weights and positions of the control points, and \( f^k_l \) is the Bernstein polynomial of degree \( k \) and kind \( l \).

Inheritance diagram for cad_curve:

Public Member Functions
procedure	eval (self, pt, u, v)
	Parametric point evaluation.
procedure(cad_dummy_eval), deferred	eval (self, pt, u, v)
	Parametric point evaluation.
procedure	grid (self)
	Generate grid over curve domain.
procedure	locate (self, pt, u, v)
	Physical point location.
procedure(cad_dummy_find), deferred	locate (self, pt, u, v)
	Physical point location.
procedure	reflect (self, copy, tol, k)
	Reflect curve.

Public Attributes
integer(i4)	id
	Input ID of CAD object.
integer(i4)	order
	Curve order.
real(r8), dimension(:,:), pointer	pt
	Vertex locations [3,order].
real(r8), dimension(3, cad_ngrid)	rgrid
	Object mesh.
real(r8), dimension(:), pointer	wt
	Weight values [order].

Member Function/Subroutine Documentation

eval() [1/2]

procedure eval	(	class(cad_curve), intent(in)	self,
		real(r8), dimension(3), intent(out)	pt,
		real(r8), intent(in)	u,
		real(r8), intent(in)	v )

Parametric point evaluation.

• (u,v) -> (x,y,z)

  Parameters

  [out]	pt	Position vector [3]
  [in]	u	Parametric coordinate 1
  [in]	v	Parametric coordinate 2 (ignored)

eval() [2/2]

procedure(cad_dummy_eval), deferred eval ( class(cad_entity), intent(in) self, real(r8), dimension(3), intent(out) pt, real(r8), intent(in) u, real(r8), intent(in) v )

pure virtualinherited

Parametric point evaluation.

Parameters

[out]	pt	Position vector [3]
[in]	u	Parametric coordinate 1
[in]	v	Parametric coordinate 2

grid()

procedure grid

(

class(cad_curve), intent(inout)

self

)

Generate grid over curve domain.

locate() [1/2]

procedure locate	(	class(cad_curve), intent(in)	self,
		real(r8), dimension(3), intent(in)	pt,
		real(r8), intent(out)	u,
		real(r8), intent(out)	v )

Physical point location.

• (x,y,z) -> (u,v)

  Parameters

  [in]	pt	Position vector [3]
  [out]	u	Parametric coordinate 1
  [out]	v	Parametric coordinate 2 (ignored)

locate() [2/2]

procedure(cad_dummy_find), deferred locate ( class(cad_entity), intent(in) self, real(r8), dimension(3), intent(in) pt, real(r8), intent(out) u, real(r8), intent(out) v )

pure virtualinherited

Physical point location.

Parameters

[in]	pt	Position vector [3]
[out]	u	Parametric coordinate 1
[out]	v	Parametric coordinate 2

reflect()

procedure reflect	(	class(cad_curve), intent(in)	self,
		class(cad_curve), intent(out)	copy,
		real(r8), intent(in)	tol,
		integer(i4), intent(in)	k )

Reflect curve.

Parameters

[in]	self	Source object to copy
[out]	copy	Reflected copy of the source curve
[in]	tol	Minimum distance from plane
[in]	k	Coordinate index for the reflection plane

Member Data Documentation

id

integer(i4) id

inherited

Input ID of CAD object.

order

integer(i4) order

Curve order.

pt

real(r8), dimension(:,:), pointer pt

Vertex locations [3,order].

rgrid

real(r8), dimension(3,cad_ngrid) rgrid

Object mesh.

wt

real(r8), dimension(:), pointer wt

Weight values [order].

---

The documentation for this type was generated from the following file:

• /home/runner/work/OpenFUSIONToolkit/OpenFUSIONToolkit/src/grid/bezier_cad.F90