mlib Namespace Reference

Namespace containing all the related code for Jot Math Library (mlib). More...

Classes
class	Line
	Templated class defining an oriented line and/or a line segment. The Line class keeps a point and a vector. For the Line object to be valid, the vector must not be null. More...
class	Mat4
	A 4x4 matrix class with double precision floating point elements. Mat4 is a 4x4 matrix class that can be used to perform general affine or projective transformations in 3D space. More...
class	Plane
	Declaration of a class plane, keeping a definition of an oriented plane in 3D. The plane is defined by its (unit) normal vector and parameter 'd', which is the signed distance of the plane from the origin of the coordinate system. More...
class	Point2
	A 2D point class with double precision floating point elements. This class is designed to be base class of more specific types of 2D points. Specifically, 2D points in different coordinate systems. The template argument P is the type of the derived point class. This allows the Point2 to return new points of the same type as the derived class. The template argument V is the type of the corresponding 2D vector class for the coordinate system of the derived 2D point class. More...
class	Point2list
	A class containing a list of Point2's. Contains functions to aid in using this list of points as a piecewise continuous curve in some 2D coordinate system. More...
class	Vec2i
	A 2D vector class with integer components. More...
class	Point2i
	A 2D point class with integer components. More...
class	Point3
	A 3D point class with double precision floating point elements. This class is designed to be base class of more specific types of 3D points. Specifically, 3D points in different coordinate systems. The template argument P is the type of the derived point class. This allows the Point3 to return new points of the same type as the derived class. The template argument V is the type of the corresponding 3D vector class for the coordinate system of the derived 3D point class. More...
class	Point3list
	A class containing a list of Point3's. Contains functions to aid in using this list of points as a piecewise continuous curve in some 3D coordinate system. Like the Point3 class, Point3list is designed to be the base class for more specific types of lists of 3D points. Specifically, lists of 3D points in different coordinate systems. The template argument L is the type of the derived point list class. This allows the Point3list to return new lists of the same type as the derived class. The template arguments M, P, V, and S are the types of the corresponding matrix, point, vector and line classes (respectively) for the coordinate system of the derived 3D point list class. More...
class	Point3i
	A 3D point class with integer components. More...
class	Pointlist
	A class containing a list of points. Contains functions to aid in using this list of points as a piecewise continuous curve in some coordinate system. Pointlist is designed to be the base class for more specific types of lists of points. Specifically, lists of points with different numbers of dimensions. The template argument L is the type of the derived point list class. This allows the Pointlist to return new lists of the same type as the derived class. The template arguments P, V, and S are the types of the corresponding point, vector and line classes (respectively) for the derived class. More...
class	Wvec
	A vector in World coordinates. More...
class	Wpt
	A point in World coordinates. More...
class	Wline
	A line in World coordinates. More...
class	Wtransf
	A tranform (or matrix) in World coordinates. More...
class	Wplane
	A plane in World coordinates. More...
class	Wpt_list
	A list of points in World coordinates. More...
class	Wquat
	A quaternion in World coordinates. More...
class	XYvec
	A vector in XY coordinates. More...
class	XYpt
	A point in XY coordinates. More...
class	XYline
	A line in XY coordinates. More...
class	XYpt_list
	A list of points in XY coordinates. More...
class	NDCZvec
	A vector in NDCZ coordinates. More...
class	NDCZpt
	A point in NDCZ coordinates. More...
class	NDCZpt_list
	A list of points in NDCZ coordinates. More...
class	NDCZvec_list
	A list of vectors in NDCZ coordinates. More...
class	NDCvec
	A vector in NDC coordinates. More...
class	NDCpt
	A point in NDC coordinates. More...
class	NDCline
	A line in NDC coordinates. More...
class	NDCpt_list
	A list of points in NDC coordinates. More...
class	VEXEL
	A vector in pixel coordinates. More...
class	PIXEL
	A point in pixel coordinates. More...
class	PIXELline
	A line in pixel coordinates. More...
class	PIXEL_list
	A list of points in pixel coordinates. More...
class	UVvec
	A vector in UV coordinates. More...
class	UVpt
	A point in UV coordinates. More...
class	UVline
	A line in UV coordinates. More...
class	UVpt_list
	A list of points in UV coordinates. More...
class	EDGElist
	A list of edges in World coordinates. More...
class	Quat
	A quaternion class. The Quat class is designed to be the base class for more specific types of quaternions. Specifically, quaternions in different 3D coordinates systems. The QUAT template argument is the type of the derived quaternion class. This allows the Quat class to return new quaternions of the same type as the derived quaternion class. The M, P, V, and L template arguments are the types of the corresponding matrix, point, vector, and line (respectively) for the coordinate system of the derived quaternion class. More...
class	RandomGen
	Random number generator class. Private to objects (a la meshes) who need their own source of random variables. More...
class	TabulatedFunction
	Tabulates values of a given function over an interval [a,b] using a specified resolution. Approximations of the function at values in [a,b) are returned as interpolations of the tabulated values. at values outside that range the function itself is used to compute the value. More...
class	Vec2
	A 2D vector class with double precision floating point elements. This class is designed to be base class of more specific types of 2D vectors. Specifically, 2D vectors in different coordinate systems. The template argument V is the type of the derived vector class. This allows the Vec2 to return new vectors of the same type as the derived class. More...
class	Vec3
	A 3D vector class with double precision floating point elements. This class is designed to be base class of more specific types of 3D vectors. Specifically, 3D vectors in different coordinate systems. The template argument V is the type of the derived vector class. This allows the Vec3 to return new vectors of the same type as the derived class. More...
class	Vec4
	A 4D vector class with double precision floating point elements. More...
Epsilon Value Accessor Functions
Use these inline functions to access the epsilon value variables rather than accessing the variables directly.
void	setEpsAbsMath (double eps)
	Set the value of the absolute epsilon constant (and the absolute epsilon squared constant as well).
double	epsAbsMath ()
double	epsAbsSqrdMath ()
double	epsNorMath ()
double	epsNorSqrdMath ()
double	epsZeroMath ()
bool	isZero (double x)
	Tell if a double is so small that it is essentially zero:.
bool	isEqual (double x, double y)
	Tell if two doubles are so close that they are essentially equal:.
Epsilon Values
Don't use these global variables directly, use the inline functions instead. We have to keep these variables in the header file to be able to inline the access functions.
double	gEpsAbsMath = 1e-8
	Absolute epsilon.
double	gEpsAbsSqrdMath = 1e-16
	Absolute epsilon squared.
const double	gEpsNorMath = 1e-10
	Normalized epsilon.
const double	gEpsNorSqrdMath = 1e-20
	Normalized epsilon squared.
const double	gEpsZeroMath = 1e-12
	Really a very small value.
Typedefs
typedef const class Wvec	CWvec
typedef const class Wpt	CWpt
typedef const class Wpt_list	CWpt_list
typedef const class Wtransf	CWtransf
typedef const class Wplane	CWplane
typedef const class Wline	CWline
typedef const class Wquat	CWquat
typedef const class XYvec	CXYvec
typedef const class XYpt	CXYpt
typedef const class XYpt_list	CXYpt_list
typedef const class XYline	CXYline
typedef const class NDCvec	CNDCvec
typedef const class NDCpt	CNDCpt
typedef const class NDCpt_list	CNDCpt_list
typedef const class NDCZvec	CNDCZvec
typedef const class NDCZvec_list	CNDCZvec_list
typedef const class NDCZpt	CNDCZpt
typedef const class NDCZpt_list	CNDCZpt_list
typedef const class VEXEL	CVEXEL
typedef const class PIXEL	CPIXEL
typedef const class PIXEL_list	CPIXEL_list
typedef const class UVvec	CUVvec
typedef const class UVpt	CUVpt
typedef const class UVpt_list	CUVpt_list
typedef const class UVline	CUVline
Functions
void	fn_gdb_will_recognize_so_i_can_set_a_fuggin_breakpoint ()
double	deg2rad (double degrees)
	Converts degrees to radians.
double	rad2deg (double radians)
	Converts radians to degrees.
double	Acos (double x)
	Safe arc cosine function.
template<class T, int N>
bool	ludcmp (T a[N][N], int indx[N], T *d=NULL)
	LU decomposition.
template<class T, int N>
void	lubksb (T a[N][N], int indx[N], T b[N])
	Backsubstitution after ludcmp().
template<class T, int N>
bool	ldltdc (T A[N][N], T rdiag[N])
	Perform LDL^T decomposition of a symmetric positive definite matrix.
template<class T, int N>
void	ldltsl (T A[N][N], T rdiag[N], T B[N], T x[N])
	Solve Ax=B after ldltdc().
template<int N, class T>
void	eigdc (T A[N][N], T d[N])
	Eigenvector decomposition for real, symmetric matrices, a la Bowdler et al. / EISPACK / JAMA.
template<int N, class T>
void	eigmult (T A[N][N], T d[N], T b[N], T x[N])
	x <- A * d * A' * b
template<typename M, typename P, typename V, typename L, typename Q>
MLIB_INLINE M	operator * (const Mat4< M, P, V, L, Q > &m, const Mat4< M, P, V, L, Q > &m2)
template<typename M, typename P, typename V, typename L, typename Q>
MLIB_INLINE P	operator * (const Mat4< M, P, V, L, Q > &m, const P &p)
template<typename M, typename P, typename V, typename L, typename Q>
MLIB_INLINE V	operator * (const Mat4< M, P, V, L, Q > &m, const Vec3< V > &v)
template<typename M, typename P, typename V, typename L, typename Q>
MLIB_INLINE L	operator * (const Mat4< M, P, V, L, Q > &m, const Line< L, P, V > &l)
template<typename M, typename P, typename V, typename L, typename Q>
MLIB_INLINE ostream &	operator<< (ostream &os, const Mat4< M, P, V, L, Q > &x)
template<class P>
P	nearest_pt_to_line_seg (const P &pt, const P &st, const P &en)
	Returns the nearest point on the line segment (st,en) to the point, pt.
template<class P, class V>
MLIB_INLINE double	ray_pt_dist2 (const P &p, const V &v, const P &q)
template<class P, class V>
P	intersect2d (const Point2< P, V > &p1, const Vec2< V > &v1, const Point2< P, V > &p2, const Vec2< V > &v2, bool &succeeded)
	Intersection of two infinite 2d lines (p1,v1) and (p2,v2).
template<class P, class V>
MLIB_INLINE bool	ray_seg_intersect (const Point2< P, V > &rayp, const Vec2< V > &rayv, const Point2< P, V > &startpt, const Point2< P, V > &endpt, Point2< P, V > &inter)
	intersect ray starting at rayp w/ vector rayv with line segment between startpt and endpt. inter is set to the intersection point.
template<typename P>
MLIB_INLINE bool	areCoplanar (const P &p1, const P &p2, const P &p3, const P &p4)
NDCZvec	normal_to_ndcz (CWpt &p, CWvec &world_normal)
Wvec	operator * (double s, const Wvec &p)
Wpt	operator * (double s, const Wpt &p)
XYvec	operator * (double s, const XYvec &p)
XYpt	operator * (double s, const XYpt &p)
NDCZvec	operator * (double s, const NDCZvec &p)
NDCvec	operator * (double s, const NDCvec &p)
VEXEL	operator * (double s, const VEXEL &p)
UVvec	operator * (double s, const UVvec &p)
UVpt	operator * (double s, const UVpt &p)
double	world_length (CWpt &p, double r)
	Given point p in world space and pixel length r, return the world space length of a segment passing through p, parallel to the film plane, with pixel length r.
double	obj_length (CWpt &o, double r, CWtransf &M, CWtransf &I)
	Same as world_length(CWpt& p, double r), but for object-space point o, with transform M from object to world and its inverse I.
template<class T>
void	statistics (CARRAY< T > &list, bool print, double *average, double *std_d, T *_max, T *_min)
	Calculates standard statistical information like average, standard deviation, min and max and optionally print it or return them.
std::ostream &	operator<< (std::ostream &out, const Vec4 &v)
std::istream &	operator>> (std::istream &in, Vec4 &v)
mlib::Vec4	cross (const Vec4 &a, const Vec4 &b, const Vec4 &c)
mlib::Vec3< mlib::Wvec >	proj (const Vec4 &v)
Variables
CWtransf	Identity

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Detailed Description

Namespace containing all the related code for Jot Math Library (mlib).

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Function Documentation

double mlib::Acos (  double  x  )  [inline]

Safe arc cosine function. Ensures that numerical error doesn't cause a value outside the range [-1,1] to be passed to the acos function by clamping the input value. Definition at line 103 of file global.H. Referenced by mlib::Mat4< M, P, V, L, Q >::anchor_scale_rot(), mlib::Vec3< V >::angle(), GESTURE::angle(), mlib::Plane< PLANE, P, V, L >::axis_ang(), Bedge::dihedral_angle(), Cam_int_fp::orbit_rot(), Cam_int::rot(), Cam_int_fp::rot(), Cam_int_edit::rot(), rotate_camera(), mlib::Mat4< M, P, V, L, Q >::rotation(), mlib::Vec2< V >::signed_angle(), mlib::Quat< QUAT, M, P, V, L >::slerp(), Bedge::swapable(), and CamOrbit::tick().

template<typename P> MLIB_INLINE bool mlib::areCoplanar (  const P &  p1, const P &  p2, const P &  p3, const P &  p4 )  [related]

Definition at line 19 of file point3.C. References epsNorMath().

mlib::Vec4 mlib::cross (  const Vec4 &  a, const Vec4 &  b, const Vec4 &  c )  [related]

Definition at line 25 of file vec4.C. Referenced by mlib::Mat4< M, P, V, L, Q >::adjoint(), mlib::Mat4< M, P, V, L, Q >::align(), mlib::Mat4< M, P, V, L, Q >::anchor_scale_rot(), mlib::Plane< PLANE, P, V, L >::axis_ang(), compute_initial_vertex_coord_sys(), compute_ntb_coord_sys(), QuadtreeNode::contains(), Bface::contains(), mlib::Vec3< V >::det(), mlib::Mat4< Wtransf, Wpt, Wvec, Wline, Wquat >::det(), diagonalize_curv(), GEOM::do_cam_focus(), VertUVTexture::draw(), Cam_int_fp::focus(), get_mat(), mlib::Mat4< M, P, V, L, Q >::glu_lookat(), LoopLoc::limit_normal(), mlib::Mat4< M, P, V, L, Q >::Mat4(), SHOW_TRIS::Triangle::norm(), mlib::Quat< Wquat, Wtransf, Wpt, Wvec, Wline >::operator *(), mlib::Mat4< M, P, V, L, Q >::orthogonalized(), mlib::Plane< Wplane, Wpt, Wvec, Wline >::Plane(), mlib::Plane< PLANE, P, V, L >::Plane(), proj_curv(), proj_dcurv(), mlib::Quat< QUAT, M, P, V, L >::Quat(), Bface::ray_intersect(), rot_coord_sys(), StripTexCoordsCB2::send_d(), StripTexCoordsCB3::send_d(), Bface::set_normal(), Bface::signed_area(), ZcrossPath::start_sil(), and Bedge::swapable().

double mlib::deg2rad (  double  degrees  )  [inline]

Converts degrees to radians. Definition at line 47 of file global.H. Referenced by SharpEdgeFilter::set_angle(), and GESTURE::trim().

template<int N, class T> void mlib::eigdc (  T  A[N][N], T  d[N] )  [inline]

Eigenvector decomposition for real, symmetric matrices, a la Bowdler et al. / EISPACK / JAMA. Entries of d are eigenvalues, sorted smallest to largest. A changed in-place to have its columns hold the corresponding eigenvectors. Note: A must be completely filled in on input. Definition at line 176 of file linear_sys.H. References j, max(), and sqr().

template<int N, class T> void mlib::eigmult (  T  A[N][N], T  d[N], T  b[N], T  x[N] )  [inline]

x <- A * d * A' * b Definition at line 349 of file linear_sys.H. References j.

double mlib::epsAbsMath (   )  [inline]

Definition at line 70 of file global.H. References gEpsAbsMath. Referenced by mlib::Point2list< L, P, V, S >::fix_endpoints().

double mlib::epsAbsSqrdMath (   )  [inline]

Definition at line 71 of file global.H. References gEpsAbsSqrdMath. Referenced by intersect2d(), mlib::Line< NDCline, NDCpt, NDCvec >::project_to_seg(), and mlib::Mat4< M, P, V, L, Q >::shear().

double mlib::epsNorMath (   )  [inline]

Definition at line 73 of file global.H. References gEpsNorMath. Referenced by areCoplanar(), mlib::Mat4< M, P, V, L, Q >::is_equal_scaling_orthogonal(), mlib::Vec3< V >::is_perpend(), mlib::Plane< Wplane, Wpt, Wvec, Wline >::is_valid(), and mlib::Mat4< M, P, V, L, Q >::is_valid().

double mlib::epsNorSqrdMath (   )  [inline]

Definition at line 74 of file global.H. References gEpsNorSqrdMath. Referenced by mlib::Vec3< V >::is_parallel(), and mlib::Vec2< V >::is_parallel().

double mlib::epsZeroMath (   )  [inline]

Definition at line 76 of file global.H. References gEpsZeroMath. Referenced by isZero(), and Patch::update_dynamic_samples().

void mlib::fn_gdb_will_recognize_so_i_can_set_a_fuggin_breakpoint (   )

Definition at line 33 of file global.C. Referenced by mlib::Mat4< M, P, V, L, Q >::inverse().

template<class P, class V> P mlib::intersect2d (  const Point2< P, V > &  p1, const Vec2< V > &  v1, const Point2< P, V > &  p2, const Vec2< V > &  v2, bool &  succeeded )  [inline]

Intersection of two infinite 2d lines (p1,v1) and (p2,v2). Returns: succeeded==false if the two lines are are parallel Definition at line 39 of file point2.C. References epsAbsSqrdMath(). Referenced by mlib::Point2list< L, P, V, S >::ray_intersect(), and ray_seg_intersect().

bool mlib::isEqual (  double  x, double  y )  [inline]

Tell if two doubles are so close that they are essentially equal:. Definition at line 81 of file global.H. References isZero(). Referenced by ZCrossExtractor< ScalarField, Confidence, FaceGenerator >::get_zcross_points().

bool mlib::isZero (  double  x  )  [inline]

Tell if a double is so small that it is essentially zero:. Definition at line 79 of file global.H. References epsZeroMath(). Referenced by ZCrossExtractor< ScalarField, Confidence, FaceGenerator >::add_seg(), mlib::Mat4< M, P, V, L, Q >::inverse(), isEqual(), mlib::Vec3< Wvec >::tlen(), mlib::Vec2< VEXEL >::tlen(), and Patch::update_dynamic_samples().

template<class T, int N> bool mlib::ldltdc (  T  A[N][N], T  rdiag[N] )  [inline]

Perform LDL^T decomposition of a symmetric positive definite matrix. Like Cholesky, but no square roots. Overwrites lower triangle of matrix. Definition at line 123 of file linear_sys.H. References j, and unlikely.

template<class T, int N> void mlib::ldltsl (  T  A[N][N], T  rdiag[N], T  B[N], T  x[N] )  [inline]

Solve Ax=B after ldltdc(). Definition at line 150 of file linear_sys.H.

template<class T, int N> void mlib::lubksb (  T  a[N][N], int  indx[N], T  b[N] )  [inline]

Backsubstitution after ludcmp(). Definition at line 95 of file linear_sys.H. References j.

template<class T, int N> bool mlib::ludcmp (  T  a[N][N], int  indx[N], T *  d = NULL )  [inline]

LU decomposition. Definition at line 34 of file linear_sys.H. References j, and swap().

template<class P> P mlib::nearest_pt_to_line_seg (  const P &  pt, const P &  st, const P &  en )  [inline]

Returns the nearest point on the line segment (st,en) to the point, pt. The template paramenter P should be some sort of point class. Parameters: [in]  pt  The point to find the nearest point on the line segment to. [in]  st  The starting endpoint of the line segment. [in]  en  The ending endpoint of the line segment. Returns: The point on the line segment from st to en that is nearest to the point pt. Definition at line 26 of file nearest_pt.H. Referenced by mlib::Pointlist< L, P, V, S >::closest(), and mlib::Pointlist< L, P, V, S >::dist_to_seg().

double mlib::obj_length (  CWpt &  o, double  r, CWtransf &  M, CWtransf &  I )  [inline]

Same as world_length(CWpt& p, double r), but for object-space point o, with transform M from object to world and its inverse I. Definition at line 1465 of file points.H.

template<typename M, typename P, typename V, typename L, typename Q> MLIB_INLINE L mlib::operator * (  const Mat4< M, P, V, L, Q > &  m, const Line< L, P, V > &  l )  [related]

Definition at line 777 of file mat4.C. References mlib::Line< L, P, V >::point(), and mlib::Line< L, P, V >::vector().

template<typename M, typename P, typename V, typename L, typename Q> MLIB_INLINE V mlib::operator * (  const Mat4< M, P, V, L, Q > &  m, const Vec3< V > &  v )  [related]

Definition at line 767 of file mat4.C.

template<typename M, typename P, typename V, typename L, typename Q> MLIB_INLINE P mlib::operator * (  const Mat4< M, P, V, L, Q > &  m, const P &  p )  [related]

Definition at line 741 of file mat4.C. References mlib::Mat4< M, P, V, L, Q >::is_perspective().

template<typename M, typename P, typename V, typename L, typename Q> MLIB_INLINE M mlib::operator * (  const Mat4< M, P, V, L, Q > &  m, const Mat4< M, P, V, L, Q > &  m2 )  [related]

Definition at line 444 of file mat4.C. References mlib::Mat4< M, P, V, L, Q >::is_perspective().

std::ostream& mlib::operator<< (  std::ostream &  out, const Vec4 &  v )  [related]

Definition at line 13 of file vec4.C.

template<typename M, typename P, typename V, typename L, typename Q> MLIB_INLINE ostream& mlib::operator<< (  ostream &  os, const Mat4< M, P, V, L, Q > &  x )

Definition at line 1076 of file mat4.C.

std::istream& mlib::operator>> (  std::istream &  in, Vec4 &  v )  [related]

Definition at line 19 of file vec4.C.

mlib::Vec3<mlib::Wvec> mlib::proj (  const Vec4 &  v  )  [related]

Definition at line 43 of file vec4.C.

double mlib::rad2deg (  double  radians  )  [inline]

Converts radians to degrees. Definition at line 49 of file global.H. Referenced by GEOM::do_cam_focus(), and GESTURE::is_corner().

template<class P, class V> MLIB_INLINE double mlib::ray_pt_dist2 (  const P &  p, const V &  v, const P &  q )

Returns: Distance squared. Definition at line 22 of file point2.C. Referenced by mlib::Point2list< L, P, V, S >::ray_intersect().

template<class P, class V> MLIB_INLINE bool mlib::ray_seg_intersect (  const Point2< P, V > &  rayp, const Vec2< V > &  rayv, const Point2< P, V > &  startpt, const Point2< P, V > &  endpt, Point2< P, V > &  inter )

intersect ray starting at rayp w/ vector rayv with line segment between startpt and endpt. inter is set to the intersection point. Definition at line 68 of file point2.C. References intersect2d(). Referenced by mlib::Point2list< L, P, V, S >::ray_intersect().

void mlib::setEpsAbsMath (  double  eps  )

Set the value of the absolute epsilon constant (and the absolute epsilon squared constant as well). Definition at line 24 of file global.C. References gEpsAbsMath, and gEpsAbsSqrdMath.

template<class T> void mlib::statistics (  CARRAY< T > &  list, bool  print, double *  average, double *  std_d, T *  _max, T *  _min )

Calculates standard statistical information like average, standard deviation, min and max and optionally print it or return them. The template parameter T should be some sort of numerical type for this function to work. Parameters: [in]  list  ARRAY of values over which statistics will be computed. [in]  print  Whether or not to print results to stderr. [out]  average  Average of values in list. [out]  std_d  Standard deviation of values in list. [out]  _max  Maximum of values in list. [out]  _min  Minimum of values in list. Questions: Do we want this function to print its results to stderr or to stdout? Remarks: The sun compiler rejects default argument values in templated functions. Definition at line 32 of file statistics.H. References max(), and min(). Referenced by LMESH::fit().

double mlib::world_length (  CWpt &  p, double  r )  [inline]

Given point p in world space and pixel length r, return the world space length of a segment passing through p, parallel to the film plane, with pixel length r. Definition at line 1457 of file points.H. Referenced by XF_DRAW::draw().

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Variable Documentation

double mlib::gEpsAbsMath = 1e-8

Absolute epsilon. Definition at line 17 of file global.C. Referenced by mlib::Mat4< M, P, V, L, Q >::anchor_scale_rot(), epsAbsMath(), mlib::Line< NDCline, NDCpt, NDCvec >::intersect(), mlib::Mat4< M, P, V, L, Q >::is_identity(), ELLIPSE::rebuild(), and setEpsAbsMath().

double mlib::gEpsAbsSqrdMath = 1e-16

Absolute epsilon squared. Definition at line 18 of file global.C. Referenced by epsAbsSqrdMath(), and setEpsAbsMath().

const double mlib::gEpsNorMath = 1e-10

Normalized epsilon. Definition at line 20 of file global.C. Referenced by epsNorMath().

const double mlib::gEpsNorSqrdMath = 1e-20

Normalized epsilon squared. Definition at line 21 of file global.C. Referenced by epsNorSqrdMath().

const double mlib::gEpsZeroMath = 1e-12

Really a very small value. Definition at line 15 of file global.C. Referenced by epsZeroMath(), UVMapping::intersect(), Bedge::nearest_pt_ndc(), mlib::Vec4::normalized(), mlib::Vec3< V >::normalized(), mlib::Vec2< V >::normalized(), mlib::Plane< PLANE, P, V, L >::Plane(), pt_near_seg(), pt_near_seg_ndc(), and snap().

CWtransf mlib::Identity

Definition at line 13 of file points.C. Referenced by DEFINER::clear_deltas(), VIEW::intersect(), BMESH::inv_xform(), VIEW::nearest(), and BMESH::xform().

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