cad_surf Type Reference

Detailed Description

CAD surface class.

A surface is defined in terms of the parametric coordinates \( u,v \) as

\[ r (u,v) = \frac{ \sum_{i=0}^n \sum_{j=0}^m x_{ij} \omega_{ij} f^n_i (u) f^m_j (v) }{\sum_{i=0}^n \sum_{j=0}^m \omega_{ij} f^n_i (u) f^m_j (v)} \]

where \( n+1, m+1 \) are the orders of each bounding curve, \( \omega_{ij}, x_{ij} \) 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_surf:

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

Public Attributes
integer(i4)	id
	Input ID of CAD object.
integer(i4), dimension(2)	order
	Surface order [2].
real(r8), dimension(:,:,:), pointer	pt
	Vertex locations [3,order(1),order(2)].
real(r8), dimension(3, cad_ngrid, cad_ngrid)	rgrid
	Object mesh.
real(r8), dimension(:,:), pointer	wt
	Weight values [order(1),order(2)].

Member Function/Subroutine Documentation

eval() [1/2]

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

eval() [2/2]

procedure eval	(	class(cad_surf), 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

grid()

procedure grid

(

class(cad_surf), intent(inout)

self

)

Generate grid over surface domain.

locate() [1/2]

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

locate() [2/2]

procedure locate	(	class(cad_surf), 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

reflect()

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

Reflect surface.

Parameters

[in]	self	Source surface to copy
[out]	copy	Reflected copy of the source surface
[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), dimension(2) order

Surface order [2].

pt

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

Vertex locations [3,order(1),order(2)].

rgrid

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

Object mesh.

wt

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

Weight values [order(1),order(2)].

---

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

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