TrngBspTriSrfDerive

(trng_der.c:165)

Prototype:

TrngTriangSrfStruct *TrngBspTriSrfDerive(const TrngTriangSrfStruct *TriSrf, TrngTriSrfDirType Dir)

Description:

Given a Bspline triangular surface, computes its partial derivative triangular surface in direction Dir.

Parameters:

TriSrf:	Triangular Surface to differentiate.
Dir:	Direction of differentiation. Either U or V or W.

Returned Value:

TrngTriangSrfStruct *: Differentiated triangular surface in direction Dir. A Bspline triangular surface.

Keywords:

triangular surfaces

TrngBspTriSrfHasOpenEC

(trng_aux.c:196)

Prototype:

CagdBType TrngBspTriSrfHasOpenEC(const TrngTriangSrfStruct *TriSrf)

Description:

Returns TRUE iff the given triangular Bspline surface has open end coditions.

Parameters:

TriSrf:	To check for open end conditions.

Returned Value:

CagdBType: TRUE, if given Bspline triangular surface has open end conditions, FALSE otherwise.

Keywords:

open end conditions

TrngBspTriSrfNew

(trng_gen.c:75)

Prototype:

TrngTriangSrfStruct *TrngBspTriSrfNew(int Length, int Order, CagdPointType PType)

Description:

Allocates the memory required for a new Bspline triangular surface.

Parameters:

Length:	Number of control points along the edge of the triangle.
Order:	Order of triangular surface in all U,V,W directions.
PType:	Type of control points (E2, P3, etc.).

Returned Value:

TrngTriangSrfStruct *: An uninitialized freeform triangular surface Bspline.

Keywords:

triangular surfaces allocation

TrngBspTriSrfOpenEnd

(trng_aux.c:216)

Prototype:

TrngTriangSrfStruct *TrngBspTriSrfOpenEnd(const TrngTriangSrfStruct *TriSrf)

Description:

Returns TRUE iff the given triangular Bspline surface has open end coditions.

Parameters:

TriSrf:	To check for open end conditions.

Returned Value:

TrngTriangSrfStruct *: A triangular Bspline surface with open end cond.

Keywords:

open end conditions

TrngBzrTriSrfDerive

(trng_der.c:67)

Prototype:

TrngTriangSrfStruct *TrngBzrTriSrfDerive(const TrngTriangSrfStruct *TriSrf, TrngTriSrfDirType Dir)

Description:

Given a Bezier triangular surface, computes its principal derivative in direction Dir.

Parameters:

TriSrf:	Triangular Surface to differentiate.
Dir:	Direction of differentiation. Either U or V or W.

Returned Value:

TrngTriangSrfStruct *: Differentiated triangular surface in direction Dir. A Bezier triangular surface.

See Also:

TrngBzrTriSrfDerive

Keywords:

triangular surfaces derivatives

TrngBzrTriSrfDirecDerive

(trng_der.c:115)

Prototype:

TrngTriangSrfStruct *TrngBzrTriSrfDirecDerive(const TrngTriangSrfStruct *TriSrf, CagdVType DirecDeriv)

Description:

Given a Bezier triangular surface, computes its directional derivative in parametric direction DirectionalDeriv.

Parameters:

TriSrf:	Triangular Surface to differentiate.
DirecDeriv:	erivative direction vector (coefficients must sum to zero!).

Returned Value:

TrngTriangSrfStruct *: Differentiated triangular surface in direction Dir. A Bezier triangular surface.

See Also:

TrngBzrTriSrfDerive

Keywords:

triangular surfaces derivatives

TrngBzrTriSrfNew

(trng_gen.c:108)

Prototype:

TrngTriangSrfStruct *TrngBzrTriSrfNew(int Length, CagdPointType PType)

Description:

Allocates the memory required for a new Bezier triangular surface.

Parameters:

Length:	Number of control points along the edge of the triangle.
PType:	Type of control points (E2, P3, etc.).

Returned Value:

TrngTriangSrfStruct *: An uninitialized freeform triangular surface Bezier.

Keywords:

triangular surfaces allocation

TrngCnvrtBzr2BspTriSrf

(trng_gen.c:452)

Prototype:

TrngTriangSrfStruct *TrngCnvrtBzr2BspTriSrf(const TrngTriangSrfStruct *TriSrf)

Description:

Converts a Bezier triangular surface into a Bspline triangular surface by adding open end uniform knot vector to it.

Parameters:

TriSrf:	A Bezier triangular surface to convert to a Bspline TriSrf.

Returned Value:

TrngTriangSrfStruct *: A Bspline triangular surface representing the same geometry as the given Bezier TriSrf.

Keywords:

conversion triangular surface

TrngCnvrtGregory2BzrTriSrf

(trng_grg.c:31)

Prototype:

TrngTriangSrfStruct *TrngCnvrtGregory2BzrTriSrf(TrngTriangSrfStruct *TriSrf)

Description:

Converts a Gregory triangular surface into a rational Bezier triangular surface.

Parameters:

TriSrf:	A Gregory triangular surface to convert to a Bezier TriSrf.

Returned Value:

TrngTriangSrfStruct *: A Bezier triangular surface representing the same geometry as the given Gregory TriSrf.

Keywords:

conversion triangular surface

TrngCoerceTriSrfTo

(trngcoer.c:55)

Prototype:

TrngTriangSrfStruct *TrngCoerceTriSrfTo(const TrngTriangSrfStruct *CTriSrf, CagdPointType PType)

Description:

Coerces a triangular surface to point type PType.

Parameters:

CTriSrf:	To coerce to a new point type PType.
PType:	New point type for TriSrf.

Returned Value:

TrngTriangSrfStruct *: A new trngariate with PType as its point type.

Keywords:

coercion

TrngCoerceTriSrfsTo

(trngcoer.c:27)

Prototype:

TrngTriangSrfStruct *TrngCoerceTriSrfsTo(const TrngTriangSrfStruct *TriSrf, CagdPointType PType)

Description:

Coerces a list of triangular surfaces to point type PType.

Parameters:

TriSrf:	To coerce to a new point type PType.
PType:	New point type for TriSrf.

Returned Value:

TrngTriangSrfStruct *: New triangular surfaces with PType as their point type.

Keywords:

coercion

TrngCrvFromTriSrf

(trng_iso.c:306)

Prototype:

CagdCrvStruct *TrngCrvFromTriSrf(const TrngTriangSrfStruct *TriSrf, CagdRType t, TrngTriSrfDirType Dir)

Description:

Extracts an isoparametric curve from the triangular surface TriSrf in direction Dir at the parameter value of t.

Parameters:

TriSrf:	To extract an isoparametric curve from.
t:	Parameter value of extracted isoparametric curve.
Dir:	Direction of extracted isocurve. Either U or V or W.

Returned Value:

CagdCrvStruct *: An isoparametric curve of TriSrf. This curve inherit the order and continuity of TriSrf in direction Dir.

See Also:

BzrSrfCrvFromSrf BspSrfCrvFromSrf CagdCrvFromMesh BzrSrfCrvFromMesh BspSrfCrvFromMesh CagdCrvFromSrf TrngTriBzrSrf2Curves

Keywords:

isoparametric curves curve from surface

TrngDbg

(trng_dbg.c:26)

Prototype:

void TrngDbg(void *Obj)

Description:

Prints triangular surface to stderr. Should be linked to programs for debugging purposes, so triangular surfaces may be inspected from a debugger.

Parameters:

Obj:	A triangular surface - to be printed to stderr.

Returned Value:

void

Keywords:

debugging

TrngDescribeError

(trng_err.c:45)

Prototype:

const char *TrngDescribeError(TrngFatalErrorType ErrorNum)

Description:

Returns a string describing a the given error. Errors can be raised by any member of this trng library as well as other users. Raised error will cause an invokation of TrngFatalError function which decides how to handle this error. TrngFatalError can for example, invoke this routine with the error type, print the appropriate message and quit the program.

Parameters:

ErrorNum:	Type of the error that was raised.

Returned Value:

const char *: A string describing the error type.

Keywords:

error handling

TrngFatalError

(trng_ftl.c:56)

Prototype:

void TrngFatalError(TrngFatalErrorType ErrID)

Description:

Trap Trng_lib errors right here. Provides a default error handler for the trng library. Gets an error description using TrngDescribeError, prints it and exit the program using exit.

Parameters:

ErrID:	Error type that was raised.

Returned Value:

void

Keywords:

error handling

TrngGregory2Bezier4

(trng_grg.c:71)

Prototype:

void TrngGregory2Bezier4(CagdRType **Qt, CagdRType **Pt)

Description:

Converts a Gregory triangular surface into a Bezier triangular surface

Parameters:

Qt:	The resulting Bezier control points
Pt:	The Gregory control points

Returned Value:

void

Keywords:

conversion triangular surface

TrngGregory2Bezier5

(trng_grg.c:234)

Prototype:

void TrngGregory2Bezier5(CagdRType **Qt, CagdRType **Pt)

Description:

Converts a Gregory triangular surface into a Bezier triangular surface

Parameters:

Qt:	The resulting Bezier control points
Pt:	The Gregory control points

Returned Value:

void

Keywords:

conversion triangular surface

TrngGregory2Bezier6

(trng_grg.c:422)

Prototype:

void TrngGregory2Bezier6(CagdRType **Qt, CagdRType **Pt)

Description:

Converts a Gregory triangular surface into a Bezier triangular surface

Parameters:

Qt:	The resulting Bezier control points
Pt:	The Gregory control points

Returned Value:

void

Keywords:

conversion triangular surface

TrngGrgTriSrfNew

(trng_gen.c:135)

Prototype:

TrngTriangSrfStruct *TrngGrgTriSrfNew(int Length, CagdPointType PType)

Description:

Allocates the memory required for a new Gregory triangular surface.

Parameters:

Length:	Number of control points along the edge of the triangle.
PType:	Type of control points (E2, P3, etc.).

Returned Value:

TrngTriangSrfStruct *: An uninitialized freeform triangular surface Gregory.

Keywords:

triangular surfaces allocation

TrngParamInDomain

(trng_aux.c:82)

Prototype:

CagdBType TrngParamInDomain(TrngTriangSrfStruct *TriSrf, CagdRType t, TrngTriSrfDirType Dir)

Description:

Given a triangular surface and a domain - validate it.

Parameters:

TriSrf:	To make sure t is in its Dir domain.
t:	Parameter value to verify.
Dir:	Direction. Either U or V or W.

Returned Value:

CagdBType: TRUE if in domain, FALSE otherwise.

Keywords:

triangular surfaces

TrngParamsInDomain

(trng_aux.c:118)

Prototype:

CagdBType TrngParamsInDomain(const TrngTriangSrfStruct *TriSrf, CagdRType u, CagdRType v, CagdRType w)

Description:

Given a triangular surface and a domain - validate it.

Parameters:

TriSrf:	To make sure (u, v, w) is in its domain.
u, v, w:	To verify if it is in TriSrf's parametric domain.

Returned Value:

CagdBType: TRUE if in domain, FALSE otherwise.

Keywords:

triangular surfaces

TrngSetFatalErrorFunc

(trng_ftl.c:28)

Prototype:

TrngSetErrorFuncType TrngSetFatalErrorFunc(TrngSetErrorFuncType ErrorFunc)

Description:

Sets the error function to be used by Trng_lib.

Parameters:

ErrorFunc:	New error function to use.

Returned Value:

TrngSetErrorFuncType: Old error function reference.

Keywords:

error handling

TrngSrfSubdivAtParam

(trng_sub.c:33)

Prototype:

TrngTriangSrfStruct *TrngSrfSubdivAtParam(TrngTriangSrfStruct *TrngSrf, CagdRType t, CagdSrfDirType Dir)

Description:

Given a triangulare surface - subdivides it into two three sub-surfaces at given parametric values u, v, w. Returns pointer to a list of two trngmed surfaces, at most. It can very well may happen that the subdivided surface is completely trimmed out and hence nothing is returned for it.

Parameters:

TrngSrf:	To subdivide at the prescibed parameter value t.
t:	The parameter to subdivide the curve Crv at.
Dir:	Direction of subdivision. Either U or V.

Returned Value:

TrngTriangSrfStruct *: The subdivided surfaces. Usually two, but can have only one, if other is totally trimmed away.

Keywords:

subdivision

TrngTriBzrSrf2Curves

(trng_iso.c:175)

Prototype:

CagdCrvStruct *TrngTriBzrSrf2Curves(const TrngTriangSrfStruct *TriSrf, int NumOfIsocurves[3], IrtRType Val)

Description:

Routine to extract from a triangular surface NumOfIsoline isocurve list in each param. direction. Iso parametric curves are sampled equally spaced in parametric space. If, however, oout of the three NumOfIsocurves values, two are zero and one NumOfIsocurves values equals to one, extarct one isocurve at that direction, at value Val. NULL is returned in case of an error, otherwise list of CagdCrvStruct. Consider isoparametric curve of Bezier triangular surface at fixed u = u0:

      __
      \          n!             i   j              n-i-j
      /  -------------------  u0   v   (1 - u0 - v)      b    =
      --  i! j! (n - i - j)!                              ijk

 __             __
 \     n!     i \      (n - i)!       j             n-i-j
 /  ------- u0  /  ----------------  v  (1 - u0 - v)      b    =
 -- i!(n-i)!    --  j! (n - i - j)!                        ijk

__                       __
\     n!     i       n-i \     (n - i)!       v   j       v   n-i-j
/  ------- u0  (1-u0)    /  --------------- (----)  (1 - ----)      b
-- i!(n-i)!              -- j! (n - i - j)!  1-u0        1-u0        ijk

Hence, the isoparametric curve of u = u0 is a weighted sum of a sequence of Bezier curves of degree 1 to n-1, each defined over a row of the triangular mesh, over the domain of v = [0, 1-u0].

Parameters:

TriSrf:	To extract isoparametric curves from.
NumOfIsocurves:	In each (U or V or W) direction.
Val:	If only one isocurve to extract - do so at value Val.

Returned Value:

CagdCrvStruct *: List of extracted isoparametric curves. These curves inherit the order and continuity of the original Srf. NULL is returned in case of an error.

See Also:

TrngTriSrf2Curves TrngCrvFromTriSrf

Keywords:

curves isoparametric curves

TrngTriSrf2CtrlMesh

(trngmesh.c:25)

Prototype:

CagdPolylineStruct *TrngTriSrf2CtrlMesh(const TrngTriangSrfStruct *TriSrf)

Description:

Computes a polyline representation to the control mesh of the triangular surface in E3.

Parameters:

TriSrf:	To compute a polyline representation for its control mesh.

Returned Value:

CagdPolylineStruct *: A polyline representing TriSrf's control mesh.

Keywords:

bbox bounding box

TrngTriSrf2Curves

(trng_iso.c:354)

Prototype:

CagdCrvStruct *TrngTriSrf2Curves(const TrngTriangSrfStruct *TriSrf, int NumOfIsocurves[3])

Description:

Routine to extract from a triangular surface NumOfIsoline isocurve list in each param. direction. Iso parametric curves are sampled equally spaced in parametric space. NULL is returned in case of an error, otherwise list of CagdCrvStruct.

Parameters:

TriSrf:	To extract isoparametric curves from.
NumOfIsocurves:	In each (U or V or W) direction.

Returned Value:

CagdCrvStruct *: List of extracted isoparametric curves. These curves inherit the order and continuity of the original Srf. NULL is returned in case of an error.

See Also:

TrngTriBzrSrf2Curves TrngCrvFromTriSrf

Keywords:

curves isoparametric curves

TrngTriSrf2Polygons

(trng2ply.c:41)

Prototype:

IPPolygonStruct *TrngTriSrf2Polygons(const TrngTriangSrfStruct *TriSrf, int FineNess, CagdBType ComputeNormals, CagdBType ComputeUV)

Description:

Routine to convert a single triangular surface to a set of triangles approximating it. FineNess is a fineness control on result and the larger it is more triangles may result. A value of 10 is a good starting value. NULL is returned in case of an error, otherwise list of IPPolygonStruct.

Parameters:

TriSrf:	To approximate into triangles.
FineNess:	Control on accuracy, the higher the finer.
ComputeNormals:	If TRUE, normal information is also computed.
ComputeUV:	If TRUE, UV values are stored and returned as well.

Returned Value:

IPPolygonStruct *: A list of polygons with optional normal and/or UV parametric information. NULL is returned in case of an error.

Keywords:

polygonization surface approximation

TrngTriSrf2Polylines

(trng_iso.c:44)

Prototype:

CagdPolylineStruct *TrngTriSrf2Polylines(const TrngTriangSrfStruct *TriSrf, int NumOfIsocurves[3], CagdRType TolSamples, SymbCrvApproxMethodType Method)

Description:

Routine to convert a single triangular surface to NumOfIsolines polylines in each parametric direction with SamplesPerCurve in each isoparametric curve in E3. Polyline are always E3 of CagdPolylineStruct type. Iso parametric curves are sampled equally spaced in parametric space. NULL is returned in case of an error, otherwise list of CagdPolylineStruct. Attempt is made to extract isolines along C1 discontinuities first.

Parameters:

TriSrf:	To extract isoparametric curves from.
NumOfIsocurves:	n each (U or V or W) direction.
TolSamples:	Tolerance of approximation error (Method = 2) or Number of samples to compute on polyline (Method = 0, 1).
Method:	0 - TolSamples are set uniformly in parametric space, 1 - TolSamples are set optimally, considering the isocurve's curvature. 2 - TolSamples sets the maximum error allowed between the piecewise linear approximation and original curve.

Returned Value:

CagdPolylineStruct *: List of polylines representing a piecewise linear approximation of the extracted isoparamteric curves or NULL is case of an error.

Keywords:

isoparametric curves

TrngTriSrfBBox

(trng_aux.c:144)

Prototype:

CagdBBoxStruct *TrngTriSrfBBox(const TrngTriangSrfStruct *TriSrf, CagdBBoxStruct *BBox)

Description:

Computes a bounding box for a triangular surfaces.

Parameters:

TriSrf:	To compute a bounding box for.
BBox:	Where bounding information is to be saved.

Returned Value:

CagdBBoxStruct *: BBox.

Keywords:

bbox bounding box

TrngTriSrfCopy

(trng_gen.c:160)

Prototype:

TrngTriangSrfStruct *TrngTriSrfCopy(const TrngTriangSrfStruct *TriSrf)

Description:

Allocates and duplicates all slots of a triangular surface structure.

Parameters:

TriSrf:	triangular surface to duplicate

Returned Value:

TrngTriangSrfStruct *: Duplicated triangular surface.

Keywords:

triangular surfaces

TrngTriSrfCopyList

(trng_gen.c:208)

Prototype:

TrngTriangSrfStruct *TrngTriSrfCopyList(const TrngTriangSrfStruct *TriSrfList)

Description:

Duplicates a list of triangular surface structures.

Parameters:

TriSrfList:	List of triangular surfaces to duplicate.

Returned Value:

TrngTriangSrfStruct *: Duplicated list of triangular surfaces.

Keywords:

triangular surfaces

TrngTriSrfDerive

(trng_der.c:31)

Prototype:

TrngTriangSrfStruct *TrngTriSrfDerive(const TrngTriangSrfStruct *TriSrf, TrngTriSrfDirType Dir)

Description:

Given a triangular surface, computes its partial derivative triangular surface in direction Dir.

Parameters:

TriSrf:	Triangular Surface to differentiate.
Dir:	Direction of differentiation. Either U or V or W.

Returned Value:

TrngTriangSrfStruct *: Differentiated triangular surface in direction Dir.

Keywords:

triangular surfaces.

TrngTriSrfDomain

(trng_aux.c:34)

Prototype:

void TrngTriSrfDomain(const TrngTriangSrfStruct *TriSrf, CagdRType *UMin, CagdRType *UMax, CagdRType *VMin, CagdRType *VMax, CagdRType *WMin, CagdRType *WMax)

Description:

Given a triangular surface, returns its parametric domain.

Parameters:

TriSrf:	Triangular surface function to consider.
UMin, UMax:	U Domain of TriSrf will be placed herein.
VMin, VMax:	V Domain of TriSrf will be placed herein.
WMin, WMax:	W Domain of TriSrf will be placed herein.

Returned Value:

void

Keywords:

triangular surfaces

TrngTriSrfEval2ToData

(trngeval.c:161)

Prototype:

CagdRType *TrngTriSrfEval2ToData(const TrngTriangSrfStruct *TriSrf, CagdRType u, CagdRType v, CagdRType *Pt)

Description:

Evaluates the given triangular surface at a given point. Same as function TrngTriSrfEval with w computed using 'w = 1 - u - v' for Bezier triangular surfaces.

Parameters:

TriSrf:	To evaluate at given (u, v) parametric location.
u, v:	Parametric location to evaluate TriSrf at.
Pt:	A vector holding all the coefficients of all components of the triangualr surface's point type. If for example point type is P2, the W, X, and Y will be saved in the first three locations of the returned vector. The first location (index 0) of the returned vector is reserved for the rational coefficient W and XYZ always starts at second location of the returned vector (index 1).

Returned Value:

CagdRType *: A vector holding all the coefficients of all components of the triangualr surface's point type. If for example point type is P2, the W, X, and Y will be saved in the first three locations of the returned vector. The first location (index 0) of the returned vector is reserved for the rational coefficient W and XYZ always starts at second location of the returned vector (index 1).

Keywords:

evaluation triangular surfaces

TrngTriSrfEvalToData

(trngeval.c:91)

Prototype:

CagdRType *TrngTriSrfEvalToData(const TrngTriangSrfStruct *TriSrf, CagdRType u, CagdRType v, CagdRType w, CagdRType *Pt)

Description:

Evaluates the given triangular surface at a given point.

Parameters:

TriSrf:	To evaluate at given (u, v, w) parametric location.
u, v, w:	Parametric location to evaluate TriSrf at.
Pt:	A vector holding all the coefficients of all components of the triangualr surface's point type. If for example point type is P2, the W, X, and Y will be saved in the first three locations of the returned vector. The first location (index 0) of the returned vector is reserved for the rational coefficient W and XYZ always starts at second location of the returned vector (index 1).

Returned Value:

CagdRType *: A vector holding all the coefficients of all components of the triangualr surface's point type. If for example point type is P2, the W, X, and Y will be saved in the first three locations of the returned vector. The first location (index 0) of the returned vector is reserved for the rational coefficient W and XYZ always starts at second location of the returned vector (index 1).

Keywords:

evaluation triangular surfaces

TrngTriSrfFree

(trng_gen.c:237)

Prototype:

void TrngTriSrfFree(TrngTriangSrfStruct *TriSrf)

Description:

Deallocates and frees all slots of a triangular surface structure.

Parameters:

TriSrf:	triangular surface to free.

Returned Value:

void

Keywords:

triangular surfaces

TrngTriSrfFreeList

(trng_gen.c:269)

Prototype:

void TrngTriSrfFreeList(TrngTriangSrfStruct *TriSrfList)

Description:

Deallocates and frees a list of triangular surface structures.

Parameters:

TriSrfList:	triangular surface list to free.

Returned Value:

void

Keywords:

triangular surfaces

TrngTriSrfListBBox

(trng_aux.c:168)

Prototype:

CagdBBoxStruct * TrngTriSrfListBBox(const TrngTriangSrfStruct *TriSrfs, CagdBBoxStruct *BBox)

Description:

Computes a bounding box for a list of triangular surfaces.

Parameters:

TriSrfs:	To compute a bounding box for.
BBox:	Where bounding information is to be saved.

Returned Value:

CagdBBoxStruct *: BBox.

Keywords:

bbox bounding box

TrngTriSrfListMatTransform

(trng_gen.c:382)

Prototype:

TrngTriangSrfStruct *TrngTriSrfListMatTransform(const TrngTriangSrfStruct *TriSrfs, CagdMType Mat)

Description:

Transforms the given list of triangular surfaces as specified by homogeneous matrix Mat.

Parameters:

TriSrfs:	To be transformed.
Mat:	Defining the transformation.

Returned Value:

TrngTriangSrfStruct *: Transformed triangular surface.

See Also:

TrngTriSrfMatTransform CagdSrfListMatTransform

Keywords:

scaling rotation translation transforms

TrngTriSrfMatTransform

(trng_gen.c:333)

Prototype:

TrngTriangSrfStruct *TrngTriSrfMatTransform(const TrngTriangSrfStruct *TriSrf, CagdMType Mat)

Description:

Transforms the given triangular surface as specified by homogeneous matrix Mat.

Parameters:

TriSrf:	Multi-variate to transform.
Mat:	Homogeneous transformation to apply to TV.

Returned Value:

TrngTriangSrfStruct *: Transformed triangular surface.

Keywords:

triangular surfaces.

TrngTriSrfMatTransform2

(trng_gen.c:413)

Prototype:

void TrngTriSrfMatTransform2(TrngTriangSrfStruct *TriSrf, CagdMType Mat)

Description:

Transforms, in place, the given triangular surface as specified by homogeneous matrix Mat.

Parameters:

TriSrf:	Triangular surface to transform.
Mat:	Homogeneous transformation to apply to TriSrf.

Returned Value:

void

See Also:

TrngTriSrfMatTransform TrngTriSrfListMatTransform

Keywords:

triangular surfaces

TrngTriSrfNew

(trng_gen.c:31)

Prototype:

TrngTriangSrfStruct *TrngTriSrfNew(TrngGeomType GType, CagdPointType PType, int Length)

Description:

Allocates the memory required for a new triangular surface.

Parameters:

GType:	Type of geometry the curve should be - Bspline, Bezier etc.
PType:	Type of control points (E2, P3, etc.).
Length:	Number of control points along the edge of the triangle.

Returned Value:

TrngTriangSrfStruct *: An uninitialized freeform triangular surface.

Keywords:

triangular surfaces allocation

TrngTriSrfNrmlToData

(trngeval.c:197)

Prototype:

CagdVecStruct *TrngTriSrfNrmlToData(const TrngTriangSrfStruct *TriSrf, CagdRType u, CagdRType v, CagdVecStruct *Normal)

Description:

Evaluates the normal of the given triangular surface at a given point.

Parameters:

TriSrf:	To evaluate at given (u, v, w) parametric location.
u, v:	Parametric location to evaluate normal of TriSrf at.
Normal:	A pointer to a vector holding the unit normal information.

Returned Value:

CagdVecStruct *: A pointer to a vector holding the unit normal information.

See Also:

CagdSrfNormal BzrSrfNormal BspSrfNormal SymbSrfNormalSrf

Keywords:

evaluation triangular surfaces

TrngTriSrfTransform

(trng_gen.c:298)

Prototype:

void TrngTriSrfTransform(TrngTriangSrfStruct *TriSrf, CagdRType *Translate, CagdRType Scale)

Description:

Linearly transforms, in place, given TriSrf as specified by Translate and Scale.

Parameters:

TriSrf:	Triangular surface to transform.
Translate:	Translation factor.
Scale:	Scaling factor.

Returned Value:

void

Keywords:

triangular surfaces

TrngTriSrfsSame

(trng_gen.c:489)

Prototype:

CagdBType TrngTriSrfsSame(const TrngTriangSrfStruct *Srf1, const TrngTriangSrfStruct *Srf2, CagdRType Eps)

Description:

Compare the two surfaces for similarity.

Parameters:

Srf1, Srf2:	The two surfaces to compare.
Eps:	Tolerance of equality.

Returned Value:

CagdBType: TRUE if surfaces are the same, FALSE otehrwise.

See Also:

CagdSrfsSame

Keywords: