wykobi Namespace Reference

Namespaces
namespace	algorithm

Classes
struct	bezier_coefficients
class	box
class	circle
class	circular_arc
class	cubic_bezier
class	curve_point
class	define_bezier_type
class	define_bezier_type< T, 2, eCubicBezier >
class	define_bezier_type< T, 2, eQuadraticBezier >
class	define_bezier_type< T, 3, eCubicBezier >
class	define_bezier_type< T, 3, eQuadraticBezier >
class	define_point_type
class	define_point_type< T, 2 >
class	define_point_type< T, 3 >
class	define_vector_type
class	define_vector_type< T, 2 >
class	define_vector_type< T, 3 >
class	geometric_entity
class	hypersphere
class	line
class	matrix
class	plane
class	point2d
class	point3d
class	pointnd
class	polygon
class	quadix
class	quadratic_bezier
class	ray
class	rectangle
class	segment
class	sphere
class	triangle
class	trig_luts
class	vector2d
class	vector3d
class	vectornd
class	wykobi_graphics_net
class	wykobi_graphics_opengl
class	wykobi_graphics_vcl

Typedefs
typedef segment< Float, 2 >	segment2d
typedef line< Float, 2 >	line2d
typedef triangle< Float, 2 >	triangle2d
typedef quadix< Float, 2 >	quadix2d
typedef segment< Float, 3 >	segment3d
typedef line< Float, 3 >	line3d
typedef triangle< Float, 3 >	triangle3d
typedef quadix< Float, 3 >	quadix3d
typedef wykobi::point2d< float > *	flt_pnt_2d
typedef wykobi::point2d< double > *	dbl_pnt_2d
typedef wykobi::point3d< float > *	flt_pnt_3d
typedef wykobi::point3d< double > *	dbl_pnt_3d
typedef double	Float

Enumerations
enum	geometric_type {   ePoint2D , ePoint3D , eSegment2D , eSegment3D ,   eRectangle , eBox , eLine2D , eLine3D ,   eTriangle2D , eTriangle3D , eQuadix2D , eQuadix3D ,   eRay2D , eRay3D , eCircle , eSphere }
enum	BezierType { eQuadraticBezier = 2 , eCubicBezier = 3 }
enum	eInclusion { eFully , ePartially , eOutside , eUnknown }
enum	eTriangleType {   etEquilateral , etIsosceles , etRight , etScalene ,   etObtuse , etUnknown }
enum	DrawingMode { eNoDraw , eSolid , eOutLine }

Functions
template<typename T>
T	epsilon ()
template<>
double	epsilon< double > ()
template<>
float	epsilon< float > ()
template<typename T>
int	orientation (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
int	orientation (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &px, const T &py, const T &pz)
template<typename T>
int	robust_orientation (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
int	robust_orientation (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &px, const T &py, const T &pz)
template<typename T>
int	orientation (const point2d< T > &point1, const point2d< T > &point2, const T &px, const T &py)
template<typename T>
int	orientation (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
int	orientation (const line< T, 2 > &line, const point2d< T > &point)
template<typename T>
int	orientation (const segment< T, 2 > &segment, const point2d< T > &point)
template<typename T>
int	orientation (const triangle< T, 2 > &triangle)
template<typename T>
int	orientation (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const T &px, const T &py, const T &pz)
template<typename T>
int	orientation (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4)
template<typename T>
int	orientation (const triangle< T, 3 > &triangle, const point3d< T > &point)
template<typename T>
bool	differing_orientation (const T &x1, const T &y1, const T &x2, const T &y2, const T &p1x, const T &p1y, const T &p2x, const T &p2y)
template<typename T>
bool	differing_orientation (const point2d< T > &p1, const point2d< T > &p2, const point2d< T > &q1, const point2d< T > &q2)
template<typename T>
int	in_circle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &px, const T &py)
template<typename T>
int	in_circle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
int	in_circle (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
int	in_sphere (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &px, const T &py, const T &pz)
template<typename T>
int	in_sphere (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const point2d< T > &point5)
template<typename T>
int	in_sphere (const quadix< T, 3 > &quadix, const point3d< T > &point)
template<typename T>
T	signed_area (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
T	signed_area (const point2d< T > &point1, const point2d< T > &point2, const T &px, const T &py)
template<typename T>
T	signed_area (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
T	signed_area (const segment< T, 2 > &segment, const point2d< T > &point)
template<typename T>
T	signed_volume (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &px, const T &py, const T &pz)
template<typename T>
T	signed_volume (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const T &px, const T &py, const T &pz)
template<typename T>
T	signed_volume (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4)
template<typename T>
T	signed_volume (const triangle< T, 3 > &triangle, const point3d< T > &point)
template<typename T>
bool	collinear (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &epsilon=T(Epsilon))
template<typename T>
bool	collinear (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &epsilon=T(Epsilon))
template<typename T>
bool	collinear (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	collinear (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
bool	robust_collinear (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_collinear (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_collinear (const line< T, 2 > &line, const point2d< T > &point, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_collinear (const line< T, 3 > &line, const point3d< T > &point, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_collinear (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_collinear (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const T &epsilon=T(Epsilon))
template<typename T>
bool	is_point_collinear (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, const bool robust=false)
template<typename T>
bool	is_point_collinear (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const bool robust=false)
template<typename T>
bool	is_point_collinear (const point2d< T > &point1, const point2d< T > &point2, const T &px, const T &py, const bool robust=false)
template<typename T>
bool	is_point_collinear (const segment< T, 2 > &segment, const point2d< T > &point, const bool robust=false)
template<typename T>
bool	is_point_collinear (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, const bool robust=false)
template<typename T>
bool	is_point_collinear (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const bool robust=false)
template<typename T>
bool	is_point_collinear (const segment< T, 3 > &segment, const point3d< T > &point, const bool robust=false)
template<typename T>
bool	robust_coplanar (const point3d< T > point1, const point3d< T > point2, const point3d< T > point3, const point3d< T > point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	coplanar (const ray< T, 3 > &ray1, const ray< T, 3 > &ray2)
template<typename T>
bool	coplanar (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2)
template<typename T>
bool	coplanar (const line< T, 3 > &line1, const line< T, 3 > &line2)
template<typename T>
bool	coplanar (const triangle< T, 3 > &triangle1, const triangle< T, 3 > &triangle2)
template<typename T>
bool	coplanar (const quadix< T, 3 > &quadix1, const quadix< T, 3 > &quadix2)
template<typename T>
bool	cocircular (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &epsilon=T(Epsilon))
template<typename T>
bool	cocircular (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	cocircular (const triangle< T, 2 > &triangle, const point2d< T > &point, const T &epsilon=T(Epsilon))
template<typename T>
bool	cocircular (const circle< T > &circle, const point2d< T > &point, const T &epsilon=T(Epsilon))
template<typename T>
bool	is_skinny_triangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
bool	is_skinny_triangle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	is_skinny_triangle (const triangle< T, 2 > &triangle)
template<typename T>
bool	intersect (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	intersect (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, T &ix, T &iy)
template<typename T>
bool	intersect (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
bool	intersect (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, point2d< T > &int_point)
template<typename T>
bool	intersect (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
bool	intersect (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, T &ix, T &iy)
template<typename T>
bool	intersect (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, point2d< T > &i_point)
template<typename T>
bool	intersect (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &fuzzy=T(0.0))
template<typename T>
bool	intersect (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &fuzzy=T(0.0))
template<typename T>
bool	intersect (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &fuzzy=T(0.0))
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const rectangle< T > &rectangle)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const triangle< T, 2 > &triangle)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const quadix< T, 2 > &quadix)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const line< T, 2 > &line)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const circle< T > &circle)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const segment< T, 2 > &segment, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const line< T, 3 > &line, const T &fuzzy=T(0.0))
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const box< T, 3 > &box)
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const sphere< T > &sphere)
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const plane< T, 3 > &plane)
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const quadratic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const segment< T, 3 > &segment, const cubic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const line< T, 2 > &line, const triangle< T, 2 > &triangle)
template<typename T>
bool	intersect (const line< T, 2 > &line, const quadix< T, 2 > &quadix)
template<typename T>
bool	intersect (const line< T, 2 > &line1, const line< T, 2 > &line2)
template<typename T>
bool	intersect (const line< T, 2 > &line, const circle< T > &circle)
template<typename T>
bool	intersect (const line< T, 2 > &line, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const line< T, 2 > &line, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const line< T, 3 > &line, const triangle< T, 3 > &triangle)
template<typename T>
bool	intersect (const line< T, 3 > &line, const plane< T, 3 > &plane)
template<typename T>
bool	intersect (const line< T, 3 > &line, const sphere< T > &sphere)
template<typename T>
bool	intersect (const line< T, 3 > &line, const quadratic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const line< T, 3 > &line, const cubic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const triangle< T, 2 > &triangle, const circle< T > &circle)
template<typename T>
bool	intersect (const triangle< T, 2 > &triangle, const rectangle< T > &rectangle)
template<typename T>
bool	intersect (const triangle< T, 2 > &triangle, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const triangle< T, 2 > &triangle, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
bool	intersect (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
bool	intersect (const rectangle< T > &rectangle, const circle< T > &circle)
template<typename T>
bool	intersect (const rectangle< T > &rectangle, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const rectangle< T > &rectangle, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const quadix< T, 2 > &quadix, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const quadix< T, 2 > &quadix, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
bool	intersect (const circle< T > &circle, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const circle< T > &circle, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const box< T, 3 > &box, const sphere< T > &sphere)
template<typename T>
bool	intersect (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
bool	intersect (const sphere< T > &sphere, const quadratic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const sphere< T > &sphere, const cubic_bezier< T, 3 > &bezier, const std::size_t &steps=1000)
template<typename T>
bool	intersect (const ray< T, 2 > &ray1, const ray< T, 2 > &ray2)
template<typename T>
bool	intersect (const ray< T, 3 > &ray1, const ray< T, 3 > &ray2)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const segment< T, 2 > &segment)
template<typename T>
bool	intersect (const ray< T, 3 > &ray, const segment< T, 3 > &segment)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const rectangle< T > &rectangle)
template<typename T>
bool	intersect (const ray< T, 3 > &ray, const box< T, 3 > &box)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const triangle< T, 2 > &triangle)
template<typename T>
bool	intersect (const ray< T, 3 > &ray, const triangle< T, 3 > &triangle)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const quadix< T, 2 > &quadix)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const circle< T > &circle)
template<typename T>
bool	intersect (const ray< T, 3 > &ray, const sphere< T > &sphere)
template<typename T>
bool	intersect (const ray< T, 3 > &ray, const plane< T, 3 > &plane)
template<typename T>
bool	intersect (const ray< T, 2 > &ray, const polygon< T, 2 > &polygon)
template<typename T>
bool	intersect (const plane< T, 3 > &plane1, const plane< T, 3 > &plane2)
template<typename T>
bool	intersect (const plane< T, 3 > &plane, const sphere< T > &sphere)
template<typename T>
bool	intersect (const plane< T, 3 > &plane, const line< T, 3 > &line)
template<typename T>
bool	simple_intersect (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	simple_intersect (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
bool	simple_intersect (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
bool	intersect_vertical_horizontal (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
bool	intersect_vertical_vertical (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
bool	intersect_horizontal_horizontal (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
void	intersection_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, T &ix, T &iy)
template<typename T>
void	intersection_point (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, T &ix, T &iy)
template<typename T>
point2d< T >	intersection_point (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
point2d< T >	intersection_point (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
void	intersection_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, T &ix, T &iy, T &iz, const T &fuzzy=T(0.0))
template<typename T>
void	intersection_point (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, T &ix, T &iy, T &iz, const T &fuzzy=T(0.0))
template<typename T>
point3d< T >	intersection_point (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &fuzzy=T(0.0))
template<typename T>
point3d< T >	intersection_point (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &fuzzy=T(0.0))
template<typename T>
point2d< T >	intersection_point (const segment< T, 2 > &segment, const line< T, 2 > &line)
template<typename T>
point3d< T >	intersection_point (const segment< T, 3 > &segment, const line< T, 3 > &line, const T &fuzzy=T(0.0))
template<typename T>
point3d< T >	intersection_point (const segment< T, 3 > &segment, const plane< T, 3 > &plane)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 2 > &segment, const quadratic_bezier< T, 2 > &bezier, OutputIterator out, const std::size_t &steps=1000)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 2 > &segment, const cubic_bezier< T, 2 > &bezier, OutputIterator out, const std::size_t &steps=1000)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 3 > &segment, const quadratic_bezier< T, 3 > &bezier, OutputIterator out, const std::size_t &steps=1000)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 3 > &segment, const cubic_bezier< T, 3 > &bezier, OutputIterator out, const std::size_t &steps=1000)
template<typename T>
point2d< T >	intersection_point (const line< T, 2 > &line1, const line< T, 2 > &line2)
template<typename T>
point3d< T >	intersection_point (const line< T, 3 > &line1, const line< T, 3 > &line2, const T &fuzzy=T(0.0))
template<typename T>
void	intersection_point (const circle< T > &circle1, const circle< T > &circle2, point2d< T > &point1, point2d< T > &point2)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 2 > &segment, const triangle< T, 2 > &triangle, OutputIterator out)
template<typename T>
void	intersection_point (const line< T, 3 > &line, const triangle< T, 3 > &triangle, point3d< T > &ipoint)
template<typename T>
point3d< T >	intersection_point (const line< T, 3 > &line, const plane< T, 3 > &plane)
template<typename T, typename OutputIterator>
void	intersection_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &cx, const T &cy, const T &radius, OutputIterator out)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 2 > &segment, const circle< T > &circle, OutputIterator out)
template<typename T, typename OutputIterator>
void	intersection_point (const line< T, 2 > &line, const circle< T > &circle, OutputIterator out)
template<typename T, typename OutputIterator>
void	intersection_point (const segment< T, 3 > &segment, const sphere< T > &sphere, OutputIterator out)
template<typename T, typename OutputIterator>
void	intersection_point (const line< T, 3 > &line, const sphere< T > &sphere, OutputIterator out)
template<typename T>
point2d< T >	intersection_point (const ray< T, 2 > &ray1, const ray< T, 2 > &ray2)
template<typename T>
point3d< T >	intersection_point (const ray< T, 3 > &ray, const triangle< T, 3 > &triangle)
template<typename T>
point3d< T >	intersection_point (const ray< T, 3 > &ray, const plane< T, 3 > &plane)
template<typename T, typename OutputIterator>
void	intersection_point (const ray< T, 2 > &ray, const circle< T > &circle, OutputIterator out)
template<typename T, typename OutputIterator>
void	intersection_point (const ray< T, 3 > &ray, const sphere< T > &sphere, OutputIterator out)
template<typename T>
void	intersection_point_line_to_line (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, T &Ix, T &Iy, T &Iz, const T &fuzzy=T(0.0))
template<typename T>
T	normalize_angle (const T &angle)
template<typename T>
T	vertical_mirror (const T &angle)
template<typename T>
T	horizontal_mirror (const T &angle)
template<typename T>
unsigned int	quadrant (const T &angle)
template<typename T>
unsigned int	quadrant (const T &x, const T &y)
template<typename T>
unsigned int	quadrant (const point2d< T > &point)
template<typename T>
T	vertex_angle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
T	vertex_angle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
T	vertex_angle (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
T	vertex_angle (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
T	oriented_vertex_angle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const int orient=Clockwise)
template<typename T>
T	oriented_vertex_angle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const int orient=Clockwise)
template<typename T>
T	cartesian_angle (const T &x, const T &y)
template<typename T>
T	cartesian_angle (const point2d< T > &point)
template<typename T>
T	robust_cartesian_angle (const T &x, const T &y)
template<typename T>
T	robust_cartesian_angle (const point2d< T > &point)
template<typename T>
T	cartesian_angle (const T &x, const T &y, const T &ox, const T &oy)
template<typename T>
T	cartesian_angle (const point2d< T > &point, const point2d< T > &origin)
template<typename T>
T	robust_cartesian_angle (const T &x, const T &y, const T &ox, const T &oy)
template<typename T>
T	robust_cartesian_angle (const point2d< T > &point, const point2d< T > &origin)
template<typename T>
bool	parallel (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const line< T, 2 > &line1, const line< T, 2 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	parallel (const line< T, 3 > &line1, const line< T, 3 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const line< T, 2 > &line1, const line< T, 2 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const line< T, 2 > &line, const segment< T, 2 > &segment, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const line< T, 3 > &line1, const line< T, 3 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_parallel (const line< T, 3 > &line, const segment< T, 3 > &segment, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const line< T, 2 > &line1, const line< T, 2 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const line< T, 2 > &line, const segment< T, 2 > &segment, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	perpendicular (const line< T, 3 > &line1, const line< T, 3 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const line< T, 2 > &line1, const line< T, 2 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const line< T, 3 > &line1, const line< T, 3 > &line2, const T &epsilon=T(Epsilon))
template<typename T>
bool	robust_perpendicular (const line< T, 2 > &line, const segment< T, 2 > &segment, const T &epsilon=T(Epsilon))
template<typename T>
bool	line_to_line_intersect (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	line_to_line_intersect (const line< T, 2 > &line1, const line< T, 2 > &line2)
template<typename T>
bool	rectangle_to_rectangle_intersect (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	rectangle_to_rectangle_intersect (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
bool	box_to_box_intersect (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
bool	box_to_box_intersect (const box< T, 3 > &box1, const box< T, 3 > &box2)
template<typename T, unsigned int Dimension, typename Simplex, typename Bezier>
bool	simplex_to_bezier_intersect (const Simplex &simplex, const Bezier &bezier, const std::size_t &steps)
template<typename T, unsigned int Dimension, typename Bezier, typename Iterator>
bool	simplex_to_bezier_intersect (const Iterator &begin, const Iterator &end, const Bezier &bezier, const std::size_t &steps)
template<typename T>
bool	rectangle_within_rectangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	rectangle_within_rectangle (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
bool	box_within_box (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
bool	box_within_box (const box< T, 3 > &box1, const box< T, 3 > &box2)
template<typename T>
bool	circle_within_rectangle (const T &x, const T &y, const T &radius, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	circle_within_rectangle (const circle< T > &circle, const rectangle< T > &rectangle)
template<typename T>
bool	triangle_within_rectangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &x5, const T &y5)
template<typename T>
bool	triangle_within_rectangle (const triangle< T, 2 > &triangle, const rectangle< T > &rectangle)
template<typename T>
bool	segment_within_rectangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	segment_within_rectangle (const segment< T, 2 > &segment, const rectangle< T > &rectangle)
template<typename T>
bool	quadix_within_rectangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &x5, const T &y5, const T &x6, const T &y6)
template<typename T>
bool	quadix_within_rectangle (const quadix< T, 2 > &quadix, const rectangle< T > &rectangle)
template<typename T>
bool	polygon_within_rectangle (const polygon< T, 2 > &polygon, const rectangle< T > &rectangle)
template<typename T>
bool	sphere_within_box (const T &x, const T &y, const T &z, const T &radius, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
bool	sphere_within_box (const sphere< T > &sphere, const box< T, 3 > &box)
template<typename T>
bool	triangle_within_box (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &x5, const T &y5, const T &z5)
template<typename T>
bool	triangle_within_box (const triangle< T, 3 > &triangle, const box< T, 3 > &box)
template<typename T>
bool	segment_within_box (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
bool	segment_within_box (const segment< T, 3 > &segment, const box< T, 3 > &box)
template<typename T>
bool	quadix_within_box (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, const T &x5, const T &y5, const T &z5, const T &x6, const T &y6, const T &z6)
template<typename T>
bool	quadix_within_box (const quadix< T, 3 > &quadix, const box< T, 3 > &box)
template<typename T>
bool	polygon_within_box (const polygon< T, 3 > &polygon, const box< T, 3 > &box)
template<typename T>
bool	circle_in_circle (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
bool	is_tangent (const segment< T, 2 > &segment, const circle< T > &circle)
template<typename T>
bool	point_of_reflection (const T &sx1, const T &sy1, const T &sx2, const T &sy2, const T &p1x, const T &p1y, const T &p2x, const T &p2y, T &rpx, T &rpy)
template<typename T>
bool	point_of_reflection (const segment< T, 2 > &segment, const point2d< T > &point1, const point2d< T > &point2, point2d< T > &reflection_point)
template<typename T>
segment< T, 2 >	edge (const triangle< T, 2 > &triangle, const std::size_t &edge_index)
template<typename T>
segment< T, 3 >	edge (const triangle< T, 3 > &triangle, const std::size_t &edge_index)
template<typename T>
segment< T, 2 >	edge (const quadix< T, 2 > &quadix, const std::size_t &edge_index)
template<typename T>
segment< T, 3 >	edge (const quadix< T, 3 > &quadix, const std::size_t &edge_index)
template<typename T>
segment< T, 2 >	edge (const rectangle< T > &rectangle, const std::size_t &edge)
template<typename T>
segment< T, 2 >	edge (const polygon< T, 2 > &polygon, const std::size_t &edge)
template<typename T>
segment< T, 3 >	edge (const polygon< T, 3 > &polygon, const std::size_t &edge)
template<typename T>
segment< T, 2 >	opposing_edge (const triangle< T, 2 > &triangle, const std::size_t &corner)
template<typename T>
segment< T, 3 >	opposing_edge (const triangle< T, 3 > &triangle, const std::size_t &corner)
template<typename T>
segment< T, 2 >	reverse_segment (const segment< T, 2 > &segment)
template<typename T>
segment< T, 3 >	reverse_segment (const segment< T, 3 > &segment)
template<typename T>
point2d< T >	rectangle_corner (const rectangle< T > &rectangle, const std::size_t &corner_index)
template<typename T>
point3d< T >	box_corner (const box< T, 3 > &box, const std::size_t &corner_index)
template<typename T>
line< T, 2 >	triangle_bisector (const triangle< T, 2 > &triangle, const std::size_t &bisector)
template<typename T>
line< T, 3 >	triangle_bisector (const triangle< T, 3 > &triangle, const std::size_t &bisector)
template<typename T>
line< T, 2 >	triangle_external_bisector (const triangle< T, 2 > &triangle, const std::size_t &corner, const std::size_t &opposing_corner)
template<typename T>
line< T, 3 >	triangle_external_bisector (const triangle< T, 3 > &triangle, const std::size_t &corner, const std::size_t &opposing_corner)
template<typename T>
line< T, 2 >	triangle_median (const triangle< T, 2 > &triangle, const std::size_t &median)
template<typename T>
line< T, 3 >	triangle_median (const triangle< T, 3 > &triangle, const std::size_t &median)
template<typename T>
line< T, 2 >	triangle_symmedian (const triangle< T, 2 > &triangle, const std::size_t &symmedian)
template<typename T>
line< T, 3 >	triangle_symmedian (const triangle< T, 3 > &triangle, const std::size_t &symmedian)
template<typename T>
line< T, 2 >	euler_line (const triangle< T, 2 > &triangle)
template<typename T>
line< T, 3 >	euler_line (const triangle< T, 3 > &triangle)
template<typename T>
point2d< T >	exmedian_point (const triangle< T, 2 > &triangle, const std::size_t &corner)
template<typename T>
point3d< T >	exmedian_point (const triangle< T, 3 > &triangle, const std::size_t &corner)
template<typename T>
point2d< T >	feuerbach_point (const triangle< T, 2 > &triangle)
template<typename T>
line< T, 2 >	confined_triangle_median (const triangle< T, 2 > &triangle, const point2d< T > &point, const std::size_t &median)
template<typename T>
line< T, 3 >	confined_triangle_median (const triangle< T, 3 > &triangle, const point3d< T > &point, const std::size_t &median)
template<typename T>
line< T, 2 >	create_parallel_line_on_point (const line< T, 2 > &line, const point2d< T > &point)
template<typename T>
line< T, 3 >	create_parallel_line_on_point (const line< T, 3 > &line, const point3d< T > &point)
template<typename T>
segment< T, 2 >	create_parallel_segment_on_point (const line< T, 2 > &line, const point2d< T > &point)
template<typename T>
segment< T, 3 >	create_parallel_segment_on_point (const line< T, 3 > &line, const point3d< T > &point)
template<typename T>
bool	point_in_rectangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	point_in_rectangle (const point2d< T > &point, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	point_in_rectangle (const T &px, const T &py, const rectangle< T > &rectangle)
template<typename T>
bool	point_in_rectangle (const point2d< T > &point, const rectangle< T > &rectangle)
template<typename T>
bool	point_in_rectangle (const point2d< T > &point, const point2d< T > &rect_point1, point2d< T > &rect_point2)
template<typename T>
bool	point_in_rectangle (const point2d< T > &point, const segment< T, 2 > &segment)
template<typename T>
bool	point_in_box (const T &px, const T &py, const T &pz, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
bool	point_in_box (const point3d< T > &point, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
bool	point_in_box (const T &px, const T &py, const T &pz, const box< T, 3 > &box)
template<typename T>
bool	point_in_box (const point3d< T > &point, const box< T, 3 > &box)
template<typename T>
bool	point_in_box (const point3d< T > &point, const point3d< T > &box_point1, const point3d< T > &box_point2)
template<typename T>
bool	point_in_box (const point3d< T > &point, const segment< T, 3 > &segment)
template<typename T>
bool	point_in_triangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
bool	point_in_triangle (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	point_in_triangle (const T &px, const T &py, const triangle< T, 2 > &triangle)
template<typename T>
bool	point_in_triangle (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
bool	point_in_quadix (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	point_in_quadix (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
bool	point_in_quadix (const T &px, const T &py, const quadix< T, 2 > &quadix)
template<typename T>
bool	point_in_quadix (const point2d< T > &point, const quadix< T, 2 > &quadix)
template<typename T>
bool	point_in_circle (const T &px, const T &py, const T &cx, const T &cy, const T &radius)
template<typename T>
bool	point_in_circle (const T &px, const T &py, const circle< T > &circle)
template<typename T>
bool	point_in_circle (const point2d< T > &point, const circle< T > &circle)
template<typename T>
bool	point_in_sphere (const T &px, const T &py, const T &pz, const T &cx, const T &cy, const T &cz, const T &radius)
template<typename T>
bool	point_in_sphere (const T &px, const T &py, const T &pz, const sphere< T > &sphere)
template<typename T>
bool	point_in_sphere (const point3d< T > &point, const sphere< T > &sphere)
template<typename T>
bool	point_in_three_point_circle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
bool	point_in_three_point_circle (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	point_in_three_point_circle (const point2d< T > &point, const triangle< T, 2 > triangle)
template<typename T>
bool	point_in_focus_area (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
bool	point_in_focus_area (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	point_on_segment (const point2d< T > &point, const segment< T, 2 > &segment)
template<typename T>
bool	point_on_segment (const point3d< T > &point, const segment< T, 3 > &segment)
template<typename T>
bool	point_on_ray (const T &px, const T &py, const T &ox, const T &oy, const T &dx, const T &dy)
template<typename T>
bool	point_on_ray (const T &px, const T &py, const T &pz, const T &ox, const T &oy, const T &oz, const T &dx, const T &dy, const T &dz)
template<typename T>
bool	point_on_ray (const point2d< T > &point, const ray< T, 2 > &ray)
template<typename T>
bool	point_on_ray (const point3d< T > &point, const ray< T, 3 > &ray)
template<typename T>
bool	point_on_rectangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	point_on_rectangle (const point2d< T > &point, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	point_on_rectangle (const T &px, const T &py, const rectangle< T > &rectangle)
template<typename T>
bool	point_on_rectangle (const point2d< T > &point, const rectangle< T > &rectangle)
template<typename T>
bool	point_on_triangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
bool	point_on_triangle (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
bool	point_on_triangle (const T &px, const T &py, const triangle< T, 2 > &triangle)
template<typename T>
bool	point_on_triangle (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
bool	point_on_quadix (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
bool	point_on_quadix (const point2d< T > &point, const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
bool	point_on_quadix (const T &px, const T &py, const quadix< T, 2 > &quadix)
template<typename T>
bool	point_on_quadix (const point2d< T > &point, const quadix< T, 2 > &quadix)
template<typename T>
bool	point_on_circle (const T &px, const T &py, const T &cx, const T &cy, const T &radius)
template<typename T>
bool	point_on_circle (const T &px, const T &py, const circle< T > &circle)
template<typename T>
bool	point_on_circle (const point2d< T > &point, const circle< T > &circle)
template<typename T>
bool	point_on_bezier (const point2d< T > &point, const quadratic_bezier< T, 2 > &bezier, const std::size_t &steps=1000, const T &fuzzy=T(Epsilon))
template<typename T>
bool	point_on_bezier (const point2d< T > &point, const cubic_bezier< T, 2 > &bezier, const std::size_t &steps=1000, const T &fuzzy=T(Epsilon))
template<typename T>
bool	point_on_bezier (const point3d< T > &point, const quadratic_bezier< T, 3 > &bezier, const std::size_t &steps=1000, const T &fuzzy=T(Epsilon))
template<typename T>
bool	point_on_bezier (const point3d< T > &point, const cubic_bezier< T, 3 > &bezier, const std::size_t &steps=1000, const T &fuzzy=T(Epsilon))
template<typename T>
point2d< T >	isogonal_conjugate (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	isogonal_conjugate (const point3d< T > &point, const triangle< T, 3 > &triangle)
template<typename T>
point2d< T >	cyclocevian_conjugate (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
point2d< T >	symmedian_point (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	symmedian_point (const triangle< T, 3 > &triangle)
template<typename T>
void	create_equilateral_triangle (const T &x1, const T &y1, const T &x2, const T &y2, T &x3, T &y3)
template<typename T>
void	create_equilateral_triangle (const point2d< T > &point1, const point2d< T > &point2, point2d< T > &point3)
template<typename T>
triangle< T, 2 >	create_equilateral_triangle (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
triangle< T, 2 >	create_equilateral_triangle (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
triangle< T, 2 >	create_equilateral_triangle (const T &cx, const T &cy, const T &side_length)
template<typename T>
triangle< T, 2 >	create_equilateral_triangle (const point2d< T > &center_point, const T &side_length)
template<typename T>
triangle< T, 2 >	create_isosceles_triangle (const point2d< T > &point1, const point2d< T > &point2, const T &angle)
template<typename T>
triangle< T, 2 >	create_isosceles_triangle (const segment< T, 2 > &segment, const T &angle)
template<typename T>
triangle< T, 2 >	create_triangle (const point2d< T > &point1, const point2d< T > &point2, const T &angle1, const T &angle2)
template<typename T>
triangle< T, 2 >	create_triangle (const segment< T, 2 > &segment, const T &angle1, const T &angle2)
template<typename T>
triangle< T, 2 >	create_morley_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_cevian_triangle (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
triangle< T, 3 >	create_cevian_triangle (const triangle< T, 3 > &triangle, const point3d< T > &point)
template<typename T>
triangle< T, 2 >	create_anticevian_triangle (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
triangle< T, 3 >	create_anticevian_triangle (const triangle< T, 3 > &triangle, const point3d< T > &point)
template<typename T>
triangle< T, 2 >	create_anticomplementary_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_anticomplementary_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_inner_napoleon_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_outer_napoleon_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_inner_vecten_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_outer_vecten_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_medial_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_medial_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_contact_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_contact_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_symmedial_triangle (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
triangle< T, 2 >	create_orthic_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_orthic_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_pedal_triangle (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_pedal_triangle (const point3d< T > &point, const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_antipedal_triangle (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_excentral_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_excentral_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_incentral_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_incentral_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_intouch_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_extouch_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 3 >	create_extouch_triangle (const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 2 >	create_feuerbach_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_circumcevian_triangle (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
triangle< T, 2 >	create_circummedial_triangle (const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	create_first_brocard_triangle (const triangle< T, 2 > &triangle)
template<typename T>
void	create_right_triangle (const wykobi::point2d< T > &p1, const wykobi::point2d< T > &p2, wykobi::point2d< T > &c1, wykobi::point2d< T > &c2)
template<typename T>
void	create_equilateral_quadix (const T &x1, const T &y1, const T &x2, const T &y2, T &x3, T &y3, T &x4, T &y4)
template<typename T>
void	create_equilateral_quadix (const point2d< T > &point1, const point2d< T > &point2, point2d< T > &point3, point2d< T > &point4)
template<typename T>
quadix< T, 2 >	create_equilateral_quadix (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
quadix< T, 2 >	create_equilateral_quadix (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
quadix< T, 2 >	create_equilateral_quadix (const segment< T, 2 > &segment)
template<typename T>
quadix< T, 2 >	create_equilateral_quadix (const T &cx, const T &cy, const T &side_length)
template<typename T>
quadix< T, 2 >	create_equilateral_quadix (const point2d< T > &center_point, const T &side_length)
template<typename T>
void	torricelli_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, T &px, T &py)
template<typename T>
point2d< T >	torricelli_point (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
point2d< T >	torricelli_point (const triangle< T, 2 > &triangle)
template<typename T>
bool	trilateration (const T &c0x, const T &c0y, const T &c0r, const T &c1x, const T &c1y, const T &c1r, const T &c2x, const T &c2y, const T &c2r, T &px, T &py)
template<typename T>
point2d< T >	trilateration (const circle< T > &c0, const circle< T > &c1, const circle< T > &c2)
template<typename T>
void	incenter (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, T &px, T &py)
template<typename T>
void	incenter (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, T &px, T &py, T &pz)
template<typename T>
point2d< T >	incenter (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
point3d< T >	incenter (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
point2d< T >	incenter (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	incenter (const triangle< T, 3 > &triangle)
template<typename T>
void	circumcenter (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, T &px, T &py)
template<typename T>
void	circumcenter (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, T &px, T &py, T &pz)
template<typename T>
point2d< T >	circumcenter (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
point3d< T >	circumcenter (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
point2d< T >	circumcenter (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	circumcenter (const triangle< T, 3 > &triangle)
template<typename T>
circle< T >	circumcircle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
circle< T >	circumcircle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
circle< T >	circumcircle (const triangle< T, 2 > &triangle)
template<typename T>
sphere< T >	circumsphere (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
sphere< T >	circumsphere (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
sphere< T >	circumsphere (const triangle< T, 3 > &triangle)
template<typename T>
circle< T >	inscribed_circle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
circle< T >	inscribed_circle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
circle< T >	inscribed_circle (const triangle< T, 2 > &triangle)
template<typename T>
sphere< T >	inscribed_sphere (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
sphere< T >	inscribed_sphere (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
sphere< T >	inscribed_sphere (const triangle< T, 3 > &triangle)
template<typename T>
circle< T >	nine_point_circle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
circle< T >	nine_point_circle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
circle< T >	nine_point_circle (const triangle< T, 2 > &triangle)
template<typename T>
point2d< T >	orthocenter (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	orthocenter (const triangle< T, 3 > &triangle)
template<typename T>
point2d< T >	excenter (const triangle< T, 2 > &triangle, const std::size_t &corner)
template<typename T>
point3d< T >	excenter (const triangle< T, 3 > &triangle, const std::size_t &corner)
template<typename T>
circle< T >	excircle (const triangle< T, 2 > &triangle, const std::size_t &i)
template<typename T>
circle< T >	mandart_circle (const triangle< T, 2 > &triangle)
template<typename T>
circle< T >	brocard_circle (const triangle< T, 2 > &triangle)
template<typename T>
circle< T >	invert_circle_across_circle (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
sphere< T >	invert_sphere_across_sphere (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
void	circle_tangent_points (const circle< T > &circle, const point2d< T > &point, point2d< T > &point1, point2d< T > &point2)
template<typename T>
void	circle_internal_tangent_lines (const circle< T > &circle0, const circle< T > &circle1, std::vector< line< T, 2 > > &lines)
template<typename T>
void	circle_internal_tangent_segments (const circle< T > &circle0, const circle< T > &circle1, std::vector< segment< T, 2 > > &segments)
template<typename T>
void	circle_outer_tangent_lines (const circle< T > &circle0, const circle< T > &circle1, std::vector< line< T, 2 > > &lines)
template<typename T>
void	circle_outer_tangent_segments (const circle< T > &circle0, const circle< T > &circle1, std::vector< segment< T, 2 > > &segments)
template<typename T>
line< T, 2 >	tangent_line (const circle< T > &circle, const point2d< T > &point)
template<typename T>
line< T, 2 >	create_line_from_bisector (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
segment< T, 2 >	create_segment_from_bisector (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
ray< T, 2 >	create_ray_from_bisector (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
line< T, 3 >	create_line_from_bisector (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
segment< T, 3 >	create_segment_from_bisector (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
ray< T, 3 >	create_ray_from_bisector (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
line< T, 2 >	create_line_from_bisector (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
segment< T, 2 >	create_segment_from_bisector (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
ray< T, 2 >	create_ray_from_bisector (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
line< T, 3 >	create_line_from_bisector (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
segment< T, 3 >	create_segment_from_bisector (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
ray< T, 3 >	create_ray_from_bisector (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
line< T, 2 >	create_perpendicular_bisector (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
line< T, 2 >	create_perpendicular_bisector (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
line< T, 2 >	create_perpendicular_bisector (const segment< T, 2 > &segment)
template<typename T>
line< T, 2 >	create_perpendicular_line_at_end_point (const line< T, 2 > &line)
template<typename T>
void	closest_point_on_segment_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, T &nx, T &ny)
template<typename T>
void	closest_point_on_segment_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
void	closest_point_on_line_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, T &nx, T &ny)
template<typename T>
void	closest_point_on_line_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
void	order_sensitive_closest_point_on_segment_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, T &nx, T &ny)
template<typename T>
void	order_sensitive_closest_point_on_segment_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
void	order_sensitive_closest_point_on_line_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, T &nx, T &ny)
template<typename T>
void	order_sensitive_closest_point_on_line_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
void	closest_point_on_ray_from_point (const T &ox, const T &oy, const T &dx, const T &dy, const T &px, const T &py, T &nx, T &ny)
template<typename T>
void	closest_point_on_ray_from_point (const T &ox, const T &oy, const T &oz, const T &dx, const T &dy, const T &dz, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
point2d< T >	closest_point_on_segment_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
point3d< T >	closest_point_on_segment_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz)
template<typename T>
point2d< T >	closest_point_on_segment_from_point (const segment< T, 2 > &segment, const point2d< T > &point)
template<typename T>
point3d< T >	closest_point_on_segment_from_point (const segment< T, 3 > &segment, const point3d< T > &point)
template<typename T>
point2d< T >	closest_point_on_line_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
point3d< T >	closest_point_on_line_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz)
template<typename T>
point2d< T >	closest_point_on_line_from_point (const line< T, 2 > &line, const point2d< T > &point)
template<typename T>
point3d< T >	closest_point_on_line_from_point (const line< T, 3 > &line, const point3d< T > &point)
template<typename T>
point2d< T >	closest_point_on_ray_from_point (const T &ox, const T &oy, const T &dx, const T &dy, const T &px, const T &py)
template<typename T>
point3d< T >	closest_point_on_ray_from_point (const T &ox, const T &oy, const T &oz, const T &dx, const T &dy, const T &dz, const T &px, const T &py, const T &pz)
template<typename T>
point2d< T >	closest_point_on_ray_from_point (const ray< T, 2 > &ray, const point2d< T > &point)
template<typename T>
point3d< T >	closest_point_on_ray_from_point (const ray< T, 3 > &ray, const point3d< T > &point)
template<typename T>
void	closest_point_on_triangle_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &px, const T &py, T &nx, T &ny)
template<typename T>
point2d< T >	closest_point_on_triangle_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &px, const T &py)
template<typename T>
point2d< T >	closest_point_on_triangle_from_point (const triangle< T, 2 > &triangle, const T &px, const T &py)
template<typename T>
point2d< T >	closest_point_on_triangle_from_point (const triangle< T, 2 > &triangle, const point2d< T > &point)
template<typename T>
void	closest_point_on_triangle_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
point3d< T >	closest_point_on_triangle_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &px, const T &py, const T &pz)
template<typename T>
point3d< T >	closest_point_on_triangle_from_point (const triangle< T, 3 > &triangle, const T &px, const T &py, const T &pz)
template<typename T>
point3d< T >	closest_point_on_triangle_from_point (const triangle< T, 3 > &triangle, const point3d< T > &point)
template<typename T>
void	closest_point_on_rectangle_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py, T &nx, T &ny)
template<typename T>
point2d< T >	closest_point_on_rectangle_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &px, const T &py)
template<typename T>
point2d< T >	closest_point_on_rectangle_from_point (const rectangle< T > &rectangle, const T &px, const T &py)
template<typename T>
point2d< T >	closest_point_on_rectangle_from_point (const rectangle< T > &rectangle, const point2d< T > &point)
template<typename T>
void	closest_point_on_box_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz, T &nx, T &ny, T &nz)
template<typename T>
point3d< T >	closest_point_on_box_from_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &px, const T &py, const T &pz)
template<typename T>
point3d< T >	closest_point_on_box_from_point (const box< T, 3 > &box, const T &px, const T &py, const T &pz)
template<typename T>
point3d< T >	closest_point_on_box_from_point (const box< T, 3 > &box, const point3d< T > &point)
template<typename T>
void	closest_point_on_quadix_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &px, const T &py, T &nx, T &ny)
template<typename T>
point2d< T >	closest_point_on_quadix_from_point (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, const T &px, const T &py)
template<typename T>
point2d< T >	closest_point_on_quadix_from_point (const quadix< T, 2 > &quadix, const point2d< T > &point)
template<typename T>
point2d< T >	closest_point_on_circle_from_point (const circle< T > &circle, const point2d< T > &point)
template<typename T>
point3d< T >	closest_point_on_sphere_from_point (const sphere< T > &sphere, const point3d< T > &point)
template<typename T>
point2d< T >	closest_point_on_aabbb_from_point (const rectangle< T > &rectangle, const point2d< T > &point)
template<typename T>
point2d< T >	closest_point_on_circle_from_segment (const circle< T > &circle, const segment< T, 2 > &segment)
template<typename T>
point3d< T >	closest_point_on_sphere_from_segment (const sphere< T > &sphere, const segment< T, 3 > &segment)
template<typename T>
point3d< T >	closest_point_on_plane_from_point (const plane< T, 3 > &plane, const point3d< T > &point)
template<typename T>
point2d< T >	closest_point_on_bezier_from_point (const quadratic_bezier< T, 2 > &bezier, const point2d< T > &point, const std::size_t &steps=1000)
template<typename T>
point2d< T >	closest_point_on_bezier_from_point (const cubic_bezier< T, 2 > &bezier, const point2d< T > &point, const std::size_t &steps=1000)
template<typename T>
point3d< T >	closest_point_on_bezier_from_point (const quadratic_bezier< T, 3 > &bezier, const point3d< T > &point, const std::size_t &steps=1000)
template<typename T>
point3d< T >	closest_point_on_bezier_from_point (const cubic_bezier< T, 3 > &bezier, const point3d< T > &point, const std::size_t &steps=1000)
template<typename T>
point2d< T >	closest_point_on_circle_from_circle (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
point3d< T >	closest_point_on_sphere_from_sphere (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
point2d< T >	closest_point_on_polygon_from_point (const polygon< T, 2 > &polygon, const point2d< T > &point)
template<typename T>
T	minimum_distance_from_point_to_segment (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	minimum_distance_from_point_to_segment (const T &px, const T &py, const T &pz, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	minimum_distance_from_point_to_segment (const point2d< T > &point, const segment< T, 2 > &segment)
template<typename T>
T	minimum_distance_from_point_to_segment (const point3d< T > &point, const segment< T, 3 > &segment)
template<typename T>
T	minimum_distance_from_point_to_line (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	minimum_distance_from_point_to_line (const T &px, const T &py, const T &pz, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	minimum_distance_from_point_to_line (const point2d< T > &point, const line< T, 2 > &line)
template<typename T>
T	minimum_distance_from_point_to_line (const point3d< T > &point, const line< T, 3 > &line)
template<typename T>
T	minimum_distance_from_point_to_triangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
T	minimum_distance_from_point_to_triangle (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
T	minimum_distance_from_point_to_rectangle (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	minimum_distance_from_point_to_rectangle (const point2d< T > &point, const rectangle< T > &rectangle)
template<typename T>
void	segment_mid_point (const T &x1, const T &y1, const T &x2, const T &y2, T &midx, T &midy)
template<typename T>
void	segment_mid_point (const segment< T, 2 > &segment, T &midx, T &midy)
template<typename T>
point2d< T >	segment_mid_point (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
point2d< T >	segment_mid_point (const segment< T, 2 > &segment)
template<typename T>
void	segment_mid_point (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, T &midx, T &midy, T &midz)
template<typename T>
void	segment_mid_point (const segment< T, 3 > &segment, T &midx, T &midy, T &midz)
template<typename T>
point3d< T >	segment_mid_point (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
point3d< T >	segment_mid_point (const segment< T, 3 > &segment)
template<typename T>
void	centroid (const T &x1, const T &y1, const T &x2, const T &y2, T &x, T &y)
template<typename T>
point2d< T >	centroid (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
point2d< T >	centroid (const segment< T, 2 > &segment)
template<typename T>
void	centroid (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, T &x, T &y)
template<typename T>
void	centroid (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, T &x, T &y, T &z)
template<typename T>
void	centroid (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, T &x, T &y)
template<typename T>
void	centroid (const triangle< T, 2 > &triangle, T &x, T &y)
template<typename T>
void	centroid (const triangle< T, 3 > &triangle, T &x, T &y, T &z)
template<typename T>
void	centroid (const quadix< T, 2 > &quadix, T &x, T &y)
template<typename T>
void	centroid (const rectangle< T > &rectangle, T &x, T &y)
template<typename T>
void	centroid (const box< T, 3 > &box, T &x, T &y, T &z)
template<typename T>
void	centroid (const polygon< T, 2 > &polygon, T &x, T &y)
template<typename T>
point2d< T >	centroid (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
point2d< T >	centroid (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
point2d< T >	centroid (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	centroid (const triangle< T, 3 > &triangle)
template<typename T>
point2d< T >	centroid (const quadix< T, 2 > &quadix)
template<typename T>
point2d< T >	centroid (const rectangle< T > &rectangle)
template<typename T>
point3d< T >	centroid (const box< T, 3 > &box)
template<typename T>
point2d< T >	centroid (const polygon< T, 2 > &polygon)
template<typename T>
bool	common_center (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
bool	common_center (const sphere< T > &sphere1, const sphere< T > &circle2)
template<typename T>
bool	point_in_convex_polygon (const T &px, const T &py, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_in_convex_polygon (const point2d< T > &point, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_on_polygon_edge (const T &px, const T &py, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_on_polygon_edge (const point2d< T > &point, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_in_polygon (const T &px, const T &py, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_in_polygon (const point2d< T > &point, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_in_polygon_winding_number (const T &px, const T &py, const polygon< T, 2 > &polygon)
template<typename T>
bool	point_in_polygon_winding_number (const point2d< T > &point, const polygon< T, 2 > &polygon)
template<typename T>
bool	convex_quadix (const quadix< T, 2 > &quadix)
template<typename T>
bool	convex_quadix (const quadix< T, 3 > &quadix)
template<typename T>
bool	is_convex_polygon (const polygon< T, 2 > &polygon)
template<typename T>
polygon< T, 2 >	remove_consecutive_collinear_points (const polygon< T, 2 > &polygon)
template<typename T, typename InputIterator, typename OutputIterator>
void	remove_consecutive_collinear_points (const InputIterator begin, const InputIterator end, OutputIterator out)
template<typename T>
bool	convex_vertex (const std::size_t &index, const polygon< T, 2 > &polygon, const int &polygon_orientation=LeftHandSide)
template<typename T>
bool	collinear_vertex (const std::size_t &index, const polygon< T, 2 > &polygon)
template<typename T>
bool	vertex_is_ear (const std::size_t &index, const polygon< T, 2 > &polygon)
template<typename T>
triangle< T, 2 >	vertex_triangle (const std::size_t &index, const polygon< T, 2 > polygon)
template<typename T>
int	polygon_orientation (const polygon< T, 2 > &polygon)
template<typename T>
bool	is_equilateral_triangle (const triangle< T, 2 > &triangle)
template<typename T>
bool	is_equilateral_triangle (const triangle< T, 3 > &triangle)
template<typename T>
bool	is_isosceles_triangle (const triangle< T, 2 > &triangle)
template<typename T>
bool	is_isosceles_triangle (const triangle< T, 3 > &triangle)
template<typename T>
bool	is_right_triangle (const wykobi::triangle< T, 2 > &triangle)
template<typename T>
bool	is_right_triangle (const wykobi::triangle< T, 3 > &triangle)
template<typename T>
bool	are_perspective_triangles (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
bool	are_perspective_triangles (const triangle< T, 3 > &triangle1, const triangle< T, 3 > &triangle2)
template<typename T>
line< T, 2 >	perspectrix (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
line< T, 3 >	perspectrix (const triangle< T, 3 > &triangle1, const triangle< T, 3 > &triangle2)
template<typename T>
void	mirror (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, T &nx, T &ny)
template<typename T>
void	mirror (const T &px, const T &py, const T &pz, const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, T &nx, T &ny, T &nz)
template<typename T>
point2d< T >	mirror (const point2d< T > &point, const line< T, 2 > &mirror_axis)
template<typename T>
segment< T, 2 >	mirror (const segment< T, 2 > &segment, const line< T, 2 > &mirror_axis)
template<typename T>
line< T, 2 >	mirror (const line< T, 2 > &line, const wykobi::line< T, 2 > &mirror_axis)
template<typename T>
rectangle< T >	mirror (const rectangle< T > &rectangle, const line< T, 2 > &mirror_axis)
template<typename T>
triangle< T, 2 >	mirror (const triangle< T, 2 > &triangle, const line< T, 2 > &mirror_axis)
template<typename T>
quadix< T, 2 >	mirror (const quadix< T, 2 > &quadix, const line< T, 2 > &mirror_axis)
template<typename T>
circle< T >	mirror (const circle< T > &circle, const line< T, 2 > &mirror_axis)
template<typename T>
polygon< T, 2 >	mirror (const polygon< T, 2 > &polygon, const line< T, 2 > &mirror_axis)
template<typename T>
point3d< T >	mirror (const point3d< T > &point, const line< T, 3 > &mirror_axis)
template<typename T>
segment< T, 3 >	mirror (const segment< T, 3 > &segment, const line< T, 3 > &mirror_axis)
template<typename T>
line< T, 3 >	mirror (const line< T, 3 > &line, const wykobi::line< T, 3 > &mirror_axis)
template<typename T>
box< T, 3 >	mirror (const box< T, 3 > &box, const line< T, 3 > &mirror_axis)
template<typename T>
triangle< T, 3 >	mirror (const triangle< T, 3 > &triangle, const line< T, 3 > &mirror_axis)
template<typename T>
quadix< T, 3 >	mirror (const quadix< T, 3 > &quadix, const line< T, 3 > &mirror_axis)
template<typename T>
sphere< T >	mirror (const sphere< T > &sphere, const line< T, 3 > &mirror_axis)
template<typename T>
polygon< T, 3 >	mirror (const polygon< T, 3 > &polygon, const line< T, 3 > &mirror_axis)
template<typename T>
point3d< T >	mirror (const point3d< T > &point, const plane< T, 3 > &mirror_plane)
template<typename T>
segment< T, 3 >	mirror (const segment< T, 3 > &segment, const plane< T, 3 > &mirror_plane)
template<typename T>
line< T, 3 >	mirror (const line< T, 3 > &line, const plane< T, 3 > &mirror_plane)
template<typename T>
box< T, 3 >	mirror (const box< T, 3 > &box, const plane< T, 3 > &mirror_plane)
template<typename T>
triangle< T, 3 >	mirror (const triangle< T, 3 > &triangle, const plane< T, 3 > &mirror_plane)
template<typename T>
quadix< T, 3 >	mirror (const quadix< T, 3 > &quadix, const plane< T, 3 > &mirror_plane)
template<typename T>
sphere< T >	mirror (const sphere< T > &sphere, const plane< T, 3 > &mirror_plane)
template<typename T>
polygon< T, 3 >	mirror (const polygon< T, 3 > &polygon, const plane< T, 3 > &mirror_plane)
template<typename T>
void	nonsymmetric_mirror (const T &px, const T &py, const T &x1, const T &y1, const T &x2, const T &y2, const T &ratio, T &nx, T &ny)
template<typename T>
point2d< T >	nonsymmetric_mirror (const point2d< T > &point, const T &ratio, const line< T, 2 > &line)
template<typename T>
segment< T, 2 >	nonsymmetric_mirror (const segment< T, 2 > &segment, const T &ratio, const line< T, 2 > &line)
template<typename T>
rectangle< T >	nonsymmetric_mirror (const rectangle< T > &rectangle, const T &ratio, const line< T, 2 > &line)
template<typename T>
triangle< T, 2 >	nonsymmetric_mirror (const triangle< T, 2 > &triangle, const T &ratio, const line< T, 2 > &line)
template<typename T>
quadix< T, 2 >	nonsymmetric_mirror (const quadix< T, 2 > &quadix, const T &ratio, const line< T, 2 > &line)
template<typename T>
circle< T >	nonsymmetric_mirror (const circle< T > &circle, const T &ratio, const line< T, 2 > &line)
template<typename T>
polygon< T, 2 >	nonsymmetric_mirror (const polygon< T, 2 > &polygon, const T &ratio, const line< T, 2 > &line)
template<typename T>
point3d< T >	nonsymmetric_mirror (const point3d< T > &point, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
segment< T, 3 >	nonsymmetric_mirror (const segment< T, 3 > &segment, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
box< T, 3 >	nonsymmetric_mirror (const box< T, 3 > &box, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
triangle< T, 3 >	nonsymmetric_mirror (const triangle< T, 3 > &triangle, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
quadix< T, 3 >	nonsymmetric_mirror (const quadix< T, 3 > &quadix, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
circle< T >	nonsymmetric_mirror (const sphere< T > &sphere, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
polygon< T, 3 >	nonsymmetric_mirror (const polygon< T, 3 > &polygon, const T &ratio, const plane< T, 3 > &plane)
template<typename T>
point2d< T >	invert_point (const point2d< T > &point, const circle< T > &circle)
template<typename T>
point3d< T >	invert_point (const point3d< T > &point, const sphere< T > &sphere)
template<typename T>
point2d< T >	antipodal_point (const point2d< T > &point, const circle< T > &circle)
template<typename T>
point3d< T >	antipodal_point (const point3d< T > &point, const sphere< T > &sphere)
template<typename T>
T	distance (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	distance (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	distance (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
T	distance (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
T	distance (const curve_point< T, 2 > &point1, const curve_point< T, 2 > &point2)
template<typename T>
T	distance (const curve_point< T, 3 > &point1, const curve_point< T, 3 > &point2)
template<typename T>
T	distance (const point2d< T > &point, const segment< T, 2 > &segment)
template<typename T>
T	distance (const point3d< T > &point, const segment< T, 3 > &segment)
template<typename T>
T	distance (const point2d< T > &point, const rectangle< T > &rectangle)
template<typename T>
T	distance (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
T	distance (const point2d< T > &point, const quadix< T, 2 > &quadix)
template<typename T>
T	distance (const point2d< T > &point, const ray< T, 2 > &ray)
template<typename T>
T	distance (const point3d< T > &point, const ray< T, 3 > &ray)
template<typename T>
T	distance (const point3d< T > &point, const plane< T, 3 > &plane)
template<typename T>
T	distance (const line< T, 2 > &line1, const line< T, 2 > &line2)
template<typename T>
T	distance (const line< T, 3 > &line1, const line< T, 3 > &line2)
template<typename T>
T	distance (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
T	distance (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2)
template<typename T>
T	distance (const segment< T, 2 > &segment)
template<typename T>
T	distance (const segment< T, 3 > &segment)
template<typename T>
T	distance (const segment< T, 2 > &segment, const triangle< T, 2 > &triangle)
template<typename T>
T	distance (const segment< T, 3 > &segment, const triangle< T, 3 > &triangle)
template<typename T>
T	distance (const segment< T, 2 > &segment, const rectangle< T > &rectangle)
template<typename T>
T	distance (const segment< T, 2 > &segment, const circle< T > &circle)
template<typename T>
T	distance (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
T	distance (const triangle< T, 2 > &triangle, const rectangle< T > &rectangle)
template<typename T>
T	distance (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
T	distance (const triangle< T, 2 > &triangle, const circle< T > &circle)
template<typename T>
T	distance (const rectangle< T > &rectangle, const circle< T > &circle)
template<typename T>
T	distance (const point2d< T > &point, const circle< T > &circle)
template<typename T>
T	distance (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
T	distance (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
T	lay_distance (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	lay_distance (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	lay_distance (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
T	lay_distance (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
T	lay_distance (const point2d< T > &point, const triangle< T, 2 > &triangle)
template<typename T>
T	lay_distance (const point2d< T > &point, const quadix< T, 2 > &triangle)
template<typename T>
T	lay_distance (const point2d< T > &point, const ray< T, 2 > &ray)
template<typename T>
T	lay_distance (const point3d< T > &point, const ray< T, 3 > &ray)
template<typename T>
T	lay_distance (const point3d< T > &point, const plane< T, 3 > &plane)
template<typename T>
T	lay_distance (const segment< T, 2 > &segment1, const segment< T, 2 > &segment2)
template<typename T>
T	lay_distance (const segment< T, 3 > &segment1, const segment< T, 3 > &segment2)
template<typename T>
T	lay_distance (const line< T, 3 > &line1, const line< T, 3 > &line2)
template<typename T>
T	lay_distance (const segment< T, 2 > &segment)
template<typename T>
T	lay_distance (const segment< T, 3 > &segment)
template<typename T>
T	lay_distance (const segment< T, 2 > &segment, const triangle< T, 2 > &triangle)
template<typename T>
T	lay_distance (const segment< T, 3 > &segment, const triangle< T, 3 > &triangle)
template<typename T>
T	manhattan_distance (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	manhattan_distance (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	manhattan_distance (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
T	manhattan_distance (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
T	manhattan_distance (const point2d< T > &point, const ray< T, 2 > &ray)
template<typename T>
T	manhattan_distance (const point3d< T > &point, const ray< T, 3 > &ray)
template<typename T>
T	manhattan_distance (const segment< T, 2 > &segment)
template<typename T>
T	manhattan_distance (const segment< T, 3 > &segment)
template<typename T>
T	manhattan_distance (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
T	chebyshev_distance (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	chebyshev_distance (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	chebyshev_distance (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
T	chebyshev_distance (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
T	chebyshev_distance (const segment< T, 2 > &segment)
template<typename T>
T	chebyshev_distance (const segment< T, 3 > &segment)
template<typename T>
T	chebyshev_distance (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
T	inverse_chebyshev_distance (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
T	inverse_chebyshev_distance (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
T	inverse_chebyshev_distance (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
T	inverse_chebyshev_distance (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
T	inverse_chebyshev_distance (const segment< T, 2 > &segment)
template<typename T>
T	inverse_chebyshev_distance (const segment< T, 3 > &segment)
template<typename T>
T	inverse_chebyshev_distance (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
point2d< T >	minkowski_sum (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
polygon< T, 2 >	minkowski_sum (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
polygon< T, 2 >	minkowski_sum (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
polygon< T, 2 >	minkowski_sum (const quadix< T, 2 > &quadix1, const quadix< T, 2 > &quadix2)
template<typename T>
polygon< T, 2 >	minkowski_sum (const circle< T > &triangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const triangle< T, 2 > &triangle, const rectangle< T > &rectangle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const triangle< T, 2 > &triangle, const quadix< T, 2 > &quadix)
template<typename T>
polygon< T, 2 >	minkowski_sum (const triangle< T, 2 > &triangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const quadix< T, 2 > &quadix, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const quadix< T, 2 > &quadix, const rectangle< T > &rectangle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const rectangle< T > &rectangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_sum (const polygon< T, 2 > &polygon1, const polygon< T, 2 > &polygon2)
template<typename T>
point2d< T >	minkowski_difference (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
polygon< T, 2 >	minkowski_difference (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
polygon< T, 2 >	minkowski_difference (const triangle< T, 2 > &triangle1, const triangle< T, 2 > &triangle2)
template<typename T>
polygon< T, 2 >	minkowski_difference (const quadix< T, 2 > &quadix1, const quadix< T, 2 > &quadix2)
template<typename T>
polygon< T, 2 >	minkowski_difference (const circle< T > &triangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const triangle< T, 2 > &triangle, const rectangle< T > &rectangle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const triangle< T, 2 > &triangle, const quadix< T, 2 > &quadix)
template<typename T>
polygon< T, 2 >	minkowski_difference (const triangle< T, 2 > &triangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const quadix< T, 2 > &quadix, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const quadix< T, 2 > &quadix, const rectangle< T > &rectangle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const rectangle< T > &rectangle, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	minkowski_difference (const polygon< T, 2 > &polygon1, const polygon< T, 2 > &polygon2)
template<typename T>
T	distance_segment_to_segment (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
T	distance_segment_to_segment (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
T	lay_distance_segment_to_segment (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
T	lay_distance_segment_to_segment (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
T	distance_line_to_line (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
T	distance_line_to_line (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
T	lay_distance_line_to_line (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
T	lay_distance_line_to_line (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
T	lay_distance_from_point_to_circle_center (const point2d< T > &point, const circle< T > &circle)
template<typename T>
T	lay_distance_from_point_to_sphere_center (const point3d< T > &point, const sphere< T > &sphere)
template<typename T>
T	distance_from_point_to_circle_center (const point2d< T > &point, const circle< T > &circle)
template<typename T>
T	distance_from_point_to_sphere_center (const point3d< T > &point, const sphere< T > &sphere)
template<typename T>
T	span_length (const rectangle< T > &rectangle)
template<typename T>
T	span_length (const box< T, 3 > &box)
template<typename T>
void	project_point_t (const T &srcx, const T &srcy, const T &destx, const T &desty, const T &t, T &nx, T &ny)
template<typename T>
void	project_point_t (const T &srcx, const T &srcy, const T &srcz, const T &destx, const T &desty, const T &destz, const T &t, T &nx, T &ny, T &nz)
template<typename T>
void	project_point (const T &srcx, const T &srcy, const T &destx, const T &desty, const T &dist, T &nx, T &ny)
template<typename T>
void	project_point (const T &srcx, const T &srcy, const T &srcz, const T &destx, const T &desty, const T &destz, const T &dist, T &nx, T &ny, T &nz)
template<typename T>
void	project_point (const T &px, const T &py, const T &angle, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point0 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point45 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point90 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point135 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point180 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point225 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point270 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
void	project_point315 (const T &px, const T &py, const T &distance, T &nx, T &ny)
template<typename T>
point2d< T >	project_point_t (const point2d< T > &source_point, const point2d< T > &destination_point, const T &t)
template<typename T>
point3d< T >	project_point_t (const point3d< T > &source_point, const point3d< T > &destination_point, const T &t)
template<typename T>
point2d< T >	project_point (const point2d< T > &source_point, const point2d< T > &destination_point, const T &distance)
template<typename T>
point3d< T >	project_point (const point3d< T > &source_point, const point3d< T > &destination_point, const T &distance)
template<typename T>
point2d< T >	project_point (const point2d< T > &point, const T &angle, const T &distance)
template<typename T>
point2d< T >	project_point0 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point45 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point90 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point135 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point180 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point225 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point270 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_point315 (const point2d< T > &point, const T &distance)
template<typename T>
point2d< T >	project_object (const point2d< T > &point, const T &angle, const T &distance)
template<typename T>
segment< T, 2 >	project_object (const segment< T, 2 > &segment, const T &angle, const T &distance)
template<typename T>
triangle< T, 2 >	project_object (const triangle< T, 2 > &triangle, const T &angle, const T &distance)
template<typename T>
quadix< T, 2 >	project_object (const quadix< T, 2 > &quadix, const T &angle, const T &distance)
template<typename T>
circle< T >	project_object (const circle< T > &circle, const T &angle, const T &distance)
template<typename T>
polygon< T, 2 >	project_object (const polygon< T, 2 > &polygon, const T &angle, const T &distance)
template<typename T>
segment< T, 2 >	project_onto_axis (const point2d< T > &point, const line< T, 2 > &axis)
template<typename T>
segment< T, 2 >	project_onto_axis (const triangle< T, 2 > &triangle, const line< T, 2 > &axis)
template<typename T>
segment< T, 2 >	project_onto_axis (const rectangle< T > &rectangle, const line< T, 2 > &axis)
template<typename T>
segment< T, 2 >	project_onto_axis (const quadix< T, 2 > &quadix, const line< T, 2 > &axis)
template<typename T>
segment< T, 2 >	project_onto_axis (const circle< T > &circle, const line< T, 2 > &axis)
template<typename T>
segment< T, 2 >	project_onto_axis (const polygon< T, 2 > &polygon, const line< T, 2 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const point3d< T > &point, const line< T, 3 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const triangle< T, 3 > &triangle, const line< T, 3 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const box< T, 3 > &box, const line< T, 3 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const quadix< T, 3 > &quadix, const line< T, 3 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const sphere< T > &sphere, const line< T, 3 > &axis)
template<typename T>
segment< T, 3 >	project_onto_axis (const polygon< T, 3 > &polygon, const line< T, 3 > &axis)
template<typename T>
void	calculate_bezier_coefficients (const quadratic_bezier< T, 2 > &bezier, T &ax, T &bx, T &ay, T &by)
template<typename T>
void	calculate_bezier_coefficients (const quadratic_bezier< T, 3 > &bezier, T &ax, T &bx, T &ay, T &by, T &az, T &bz)
template<typename T>
void	calculate_bezier_coefficients (const cubic_bezier< T, 2 > &bezier, T &ax, T &bx, T &cx, T &ay, T &by, T &cy)
template<typename T>
void	calculate_bezier_coefficients (const cubic_bezier< T, 3 > &bezier, T &ax, T &bx, T &cx, T &ay, T &by, T &cy, T &az, T &bz, T &cz)
template<typename T>
void	calculate_bezier_coefficients (const quadratic_bezier< T, 2 > &bezier, bezier_coefficients< T, 2, eQuadraticBezier > &coeffs)
template<typename T>
void	calculate_bezier_coefficients (const quadratic_bezier< T, 3 > &bezier, bezier_coefficients< T, 3, eQuadraticBezier > &coeffs)
template<typename T>
void	calculate_bezier_coefficients (const cubic_bezier< T, 2 > &bezier, bezier_coefficients< T, 2, eCubicBezier > &coeffs)
template<typename T>
void	calculate_bezier_coefficients (const cubic_bezier< T, 3 > &bezier, bezier_coefficients< T, 3, eCubicBezier > &coeffs)
template<typename T>
point2d< T >	create_point_on_bezier (const point2d< T > &start_point, const T &ax, const T &bx, const T &ay, const T &by, const T &t)
template<typename T>
point3d< T >	create_point_on_bezier (const point3d< T > &start_point, const T &ax, const T &bx, const T &ay, const T &by, const T &az, const T &bz, const T &t)
template<typename T>
point2d< T >	create_point_on_bezier (const point2d< T > &start_point, const T &ax, const T &bx, const T &cx, const T &ay, const T &by, const T &cy, const T &t)
template<typename T>
point3d< T >	create_point_on_bezier (const point3d< T > &start_point, const T &ax, const T &bx, const T &cx, const T &ay, const T &by, const T &cy, const T &az, const T &bz, const T &cz, const T &t)
template<typename T>
point2d< T >	create_point_on_bezier (const point2d< T > &start_point, const bezier_coefficients< T, 2, eQuadraticBezier > &coeffs, const T &t)
template<typename T>
point3d< T >	create_point_on_bezier (const point3d< T > &start_point, const bezier_coefficients< T, 3, eQuadraticBezier > &coeffs, const T &t)
template<typename T>
point2d< T >	create_point_on_bezier (const point2d< T > &start_point, const bezier_coefficients< T, 2, eCubicBezier > &coeffs, const T &t)
template<typename T>
point3d< T >	create_point_on_bezier (const point3d< T > &start_point, const bezier_coefficients< T, 3, eCubicBezier > &coeffs, const T &t)
template<typename T, typename OutputIterator>
void	generate_bezier (const quadratic_bezier< T, 2 > &bezier, OutputIterator out, const std::size_t &point_count=1000)
template<typename T, typename OutputIterator>
void	generate_bezier (const quadratic_bezier< T, 3 > &bezier, OutputIterator out, const std::size_t &point_count=1000)
template<typename T, typename OutputIterator>
void	generate_bezier (const cubic_bezier< T, 2 > &bezier, OutputIterator out, const std::size_t &point_count=1000)
template<typename T, typename OutputIterator>
void	generate_bezier (const cubic_bezier< T, 3 > &bezier, OutputIterator out, const std::size_t &point_count=1000)
template<typename T>
T	bezier_curve_length (const quadratic_bezier< T, 2 > &bezier, const std::size_t &point_count)
template<typename T>
T	bezier_curve_length (const quadratic_bezier< T, 3 > &bezier, const std::size_t &point_count)
template<typename T>
T	bezier_curve_length (const cubic_bezier< T, 2 > &bezier, const std::size_t &point_count)
template<typename T>
T	bezier_curve_length (const cubic_bezier< T, 3 > &bezier, const std::size_t &point_count)
template<typename T>
triangle< T, 2 >	bezier_convex_hull (const quadratic_bezier< T, 2 > &bezier)
template<typename T>
quadix< T, 2 >	bezier_convex_hull (const cubic_bezier< T, 2 > &bezier)
template<typename T>
segment< T, 2 >	center_at_location (const segment< T, 2 > &segment, const T &x, const T &y)
template<typename T>
segment< T, 3 >	center_at_location (const segment< T, 3 > &segment, const T &x, const T &y, const T &z)
template<typename T>
triangle< T, 2 >	center_at_location (const triangle< T, 2 > &triangle, const T &x, const T &y)
template<typename T>
rectangle< T >	center_at_location (const rectangle< T > &rectangle, const T &x, const T &y)
template<typename T>
box< T, 3 >	center_at_location (const box< T, 3 > &box, const T &x, const T &y, const T &z)
template<typename T>
quadix< T, 2 >	center_at_location (const quadix< T, 2 > &quadix, const T &x, const T &y)
template<typename T>
circle< T >	center_at_location (const circle< T > &circle, const T &x, const T &y)
template<typename T>
polygon< T, 2 >	center_at_location (const polygon< T, 2 > &polygon, const T &x, const T &y)
template<typename T>
segment< T, 2 >	center_at_location (const segment< T, 2 > &segment, const point2d< T > &center_point)
template<typename T>
segment< T, 3 >	center_at_location (const segment< T, 3 > &segment, const point3d< T > &center_point)
template<typename T>
triangle< T, 2 >	center_at_location (const triangle< T, 2 > &triangle, const point2d< T > &center_point)
template<typename T>
rectangle< T >	center_at_location (const rectangle< T > &rectangle, const point2d< T > &center_point)
template<typename T>
box< T, 3 >	center_at_location (const box< T, 3 > &box, const point3d< T > &center_point)
template<typename T>
quadix< T, 2 >	center_at_location (const quadix< T, 2 > &quadix, const point2d< T > &center_point)
template<typename T>
circle< T >	center_at_location (const circle< T > &circle, const point2d< T > &center_point)
template<typename T>
polygon< T, 2 >	center_at_location (const polygon< T, 2 > &polygon, const point2d< T > &center_point)
template<typename T>
void	shorten_segment (T &x1, T &y1, T &x2, T &y2, const T &amount)
template<typename T>
void	shorten_segment (T &x1, T &y1, T &z1, T &x2, T &y2, T &z2, const T &amount)
template<typename T>
segment< T, 2 >	shorten_segment (const segment< T, 2 > &segment, const T &amount)
template<typename T>
segment< T, 3 >	shorten_segment (const segment< T, 3 > &segment, const T &amount)
template<typename T>
void	lengthen_segment (T &x1, T &y1, T &x2, T &y2, const T &amount)
template<typename T>
void	lengthen_segment (T &x1, T &y1, T &z1, T &x2, T &y2, T &z2, const T &amount)
template<typename T>
segment< T, 2 >	lengthen_segment (const segment< T, 2 > &segment, const T &amount)
template<typename T>
segment< T, 3 >	lengthen_segment (const segment< T, 3 > &segment, const T &amount)
template<typename T>
int	out_code (const point2d< T > &point, const rectangle< T > &rectangle)
template<typename T>
bool	clip (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4, T &cx1, T &cy1, T &cx2, T &cy2)
template<typename T>
bool	clip (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4, T &cx1, T &cy1, T &cz1, T &cx2, T &cy2, T &cz2)
template<typename T>
bool	clip (const segment< T, 2 > &src_segment, const rectangle< T > &rectangle, segment< T, 2 > &csegment)
template<typename T>
bool	clip (const segment< T, 2 > &src_segment, const triangle< T, 2 > &triangle, segment< T, 2 > &csegment)
template<typename T>
bool	clip (const segment< T, 2 > &src_segment, const quadix< T, 2 > &quadix, segment< T, 2 > &csegment)
template<typename T>
bool	clip (const segment< T, 2 > &src_segment, const circle< T > &circle, segment< T, 2 > &csegment)
template<typename T>
bool	clip (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2, rectangle< T > &crectangle)
template<typename T>
bool	clip (const box< T, 3 > &box1, const box< T, 3 > &box2, box< T, 3 > &cbox)
template<typename T>
T	area (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
T	area (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
T	area (const triangle< T, 2 > &triangle)
template<typename T>
T	area (const triangle< T, 3 > &triangle)
template<typename T>
T	area (const quadix< T, 2 > &quadix)
template<typename T>
T	area (const quadix< T, 3 > &quadix)
template<typename T>
T	area (const rectangle< T > &rectangle)
template<typename T>
T	area (const circle< T > &circle)
template<typename T>
T	area (const polygon< T, 2 > &polygon)
template<typename T>
T	perimeter (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
T	perimeter (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
T	perimeter (const triangle< T, 2 > &triangle)
template<typename T>
T	perimeter (const triangle< T, 3 > &triangle)
template<typename T>
T	perimeter (const quadix< T, 2 > &quadix)
template<typename T>
T	perimeter (const quadix< T, 3 > &quadix)
template<typename T>
T	perimeter (const rectangle< T > &rectangle)
template<typename T>
T	perimeter (const circle< T > &circle)
template<typename T>
T	perimeter (const polygon< T, 2 > &polygon)
template<typename T>
void	rotate (const T &rotation_angle, const T &x, const T &y, T &nx, T &ny)
template<typename T>
void	rotate (const T &rotation_angle, const T &x, const T &y, const T &ox, const T &oy, T &nx, T &ny)
template<typename T>
point2d< T >	rotate (const T &rotation_angle, const point2d< T > &point)
template<typename T>
point2d< T >	rotate (const T &rotation_angle, const point2d< T > &point, const point2d< T > &opoint)
template<typename T>
segment< T, 2 >	rotate (const T &rotation_angle, const segment< T, 2 > &segment)
template<typename T>
segment< T, 2 >	rotate (const T &rotation_angle, const segment< T, 2 > &segment, const point2d< T > &opoint)
template<typename T>
triangle< T, 2 >	rotate (const T &rotation_angle, const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	rotate (const T &rotation_angle, const triangle< T, 2 > &triangle, const point2d< T > &opoint)
template<typename T>
quadix< T, 2 >	rotate (const T &rotation_angle, const quadix< T, 2 > &quadix)
template<typename T>
quadix< T, 2 >	rotate (const T &rotation_angle, const quadix< T, 2 > &quadix, const point2d< T > &opoint)
template<typename T>
polygon< T, 2 >	rotate (const T &rotation_angle, const polygon< T, 2 > &polygon)
template<typename T>
polygon< T, 2 >	rotate (const T &rotation_angle, const polygon< T, 2 > &polygon, const point2d< T > &opoint)
template<typename T>
void	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const T &x, const T &y, T &nx, T &ny)
template<typename T>
void	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const T &x, const T &y, const T &ox, const T &oy, T &nx, T &ny)
template<typename T>
point2d< T >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const point2d< T > &point)
template<typename T>
point2d< T >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const point2d< T > &point, const point2d< T > &opoint)
template<typename T>
segment< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const segment< T, 2 > &segment)
template<typename T>
segment< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const segment< T, 2 > &segment, const point2d< T > &opoint)
template<typename T>
triangle< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const triangle< T, 2 > &triangle)
template<typename T>
triangle< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const triangle< T, 2 > &triangle, const point2d< T > &opoint)
template<typename T>
quadix< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const quadix< T, 2 > &quadix)
template<typename T>
quadix< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const quadix< T, 2 > &quadix, const point2d< T > &opoint)
template<typename T>
polygon< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const polygon< T, 2 > &polygon)
template<typename T>
polygon< T, 2 >	fast_rotate (const trig_luts< T > &lut, const int rotation_angle, const polygon< T, 2 > &polygon, const point2d< T > &opoint)
template<typename T>
void	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const T &x, const T &y, const T &z, T &nx, T &ny, T &nz)
template<typename T>
void	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const T &x, const T &y, const T &z, const T &ox, const T &oy, const T &oz, T &nx, T &ny, T &nz)
template<typename T>
point3d< T >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const point3d< T > &point)
template<typename T>
point3d< T >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const point3d< T > &point, const point3d< T > &opoint)
template<typename T>
segment< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const segment< T, 3 > &segment)
template<typename T>
segment< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const segment< T, 3 > &segment, const point3d< T > &opoint)
template<typename T>
triangle< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const triangle< T, 3 > &triangle)
template<typename T>
triangle< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const triangle< T, 3 > &triangle, const point3d< T > &opoint)
template<typename T>
quadix< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const quadix< T, 3 > &quadix)
template<typename T>
quadix< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const quadix< T, 3 > &quadix, const point3d< T > &opoint)
template<typename T>
polygon< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const polygon< T, 3 > &polygon)
template<typename T>
polygon< T, 3 >	fast_rotate (const trig_luts< T > &lut, const int rx, const int ry, const int rz, const polygon< T, 3 > &polygon, const point3d< T > &opoint)
template<typename T>
point2d< T >	translate (const T &dx, const T &dy, const point2d< T > &point)
template<typename T>
line< T, 2 >	translate (const T &dx, const T &dy, const line< T, 2 > &line)
template<typename T>
segment< T, 2 >	translate (const T &dx, const T &dy, const segment< T, 2 > &segment)
template<typename T>
triangle< T, 2 >	translate (const T &dx, const T &dy, const triangle< T, 2 > &triangle)
template<typename T>
quadix< T, 2 >	translate (const T &dx, const T &dy, const quadix< T, 2 > &quadix)
template<typename T>
rectangle< T >	translate (const T &dx, const T &dy, const rectangle< T > &rectangle)
template<typename T>
circle< T >	translate (const T &dx, const T &dy, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	translate (const T &dx, const T &dy, const polygon< T, 2 > &polygon)
template<typename T>
point2d< T >	translate (const T &delta, const point2d< T > &point)
template<typename T>
line< T, 2 >	translate (const T &delta, const line< T, 2 > &line)
template<typename T>
segment< T, 2 >	translate (const T &delta, const segment< T, 2 > &segment)
template<typename T>
triangle< T, 2 >	translate (const T &delta, const triangle< T, 2 > &triangle)
template<typename T>
quadix< T, 2 >	translate (const T &delta, const quadix< T, 2 > &quadix)
template<typename T>
rectangle< T >	translate (const T &delta, const rectangle< T > &rectangle)
template<typename T>
circle< T >	translate (const T &delta, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	translate (const T &delta, const polygon< T, 2 > &polygon)
template<typename T>
point2d< T >	translate (const vector2d< T > &v, const point2d< T > &point)
template<typename T>
line< T, 2 >	translate (const vector2d< T > &v, const line< T, 2 > &line)
template<typename T>
segment< T, 2 >	translate (const vector2d< T > &v, const segment< T, 2 > &segment)
template<typename T>
triangle< T, 2 >	translate (const vector2d< T > &v, const triangle< T, 2 > &triangle)
template<typename T>
quadix< T, 2 >	translate (const vector2d< T > &v, const quadix< T, 2 > &quadix)
template<typename T>
rectangle< T >	translate (const vector2d< T > &v, const rectangle< T > &rectangle)
template<typename T>
circle< T >	translate (const vector2d< T > &v, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	translate (const vector2d< T > &v, const polygon< T, 2 > &polygon)
template<typename T>
point3d< T >	translate (const T &dx, const T &dy, const T &dz, const point3d< T > &point)
template<typename T>
line< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const line< T, 3 > &line)
template<typename T>
segment< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const segment< T, 3 > &segment)
template<typename T>
triangle< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const triangle< T, 3 > &triangle)
template<typename T>
quadix< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const quadix< T, 3 > &quadix)
template<typename T>
box< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const box< T, 3 > &box)
template<typename T>
sphere< T >	translate (const T &dx, const T &dy, const T &dz, const sphere< T > &sphere)
template<typename T>
polygon< T, 3 >	translate (const T &dx, const T &dy, const T &dz, const polygon< T, 3 > &polygon)
template<typename T>
point3d< T >	translate (const T &delta, const point3d< T > &point)
template<typename T>
line< T, 3 >	translate (const T &delta, const line< T, 3 > &line)
template<typename T>
segment< T, 3 >	translate (const T &delta, const segment< T, 3 > &segment)
template<typename T>
triangle< T, 3 >	translate (const T &delta, const triangle< T, 3 > &triangle)
template<typename T>
quadix< T, 3 >	translate (const T &delta, const quadix< T, 3 > &quadix)
template<typename T>
box< T, 3 >	translate (const T &delta, const box< T, 3 > &box)
template<typename T>
sphere< T >	translate (const T &delta, const sphere< T > &sphere)
template<typename T>
polygon< T, 3 >	translate (const T &delta, const polygon< T, 3 > &polygon)
template<typename T>
point3d< T >	translate (const vector3d< T > &v, const point3d< T > &point)
template<typename T>
line< T, 3 >	translate (const vector3d< T > &v, const line< T, 3 > &line)
template<typename T>
segment< T, 3 >	translate (const vector3d< T > &v, const segment< T, 3 > &segment)
template<typename T>
triangle< T, 3 >	translate (const vector3d< T > &v, const triangle< T, 3 > &triangle)
template<typename T>
quadix< T, 3 >	translate (const vector3d< T > &v, const quadix< T, 3 > &quadix)
template<typename T>
box< T, 3 >	translate (const vector3d< T > &v, const box< T, 3 > &box)
template<typename T>
sphere< T >	translate (const vector3d< T > &v, const sphere< T > &sphere)
template<typename T>
polygon< T, 3 >	translate (const vector3d< T > &v, const polygon< T, 3 > &polygon)
template<typename T>
point2d< T >	scale (const T &dx, const T &dy, const point2d< T > &point)
template<typename T>
line< T, 2 >	scale (const T &dx, const T &dy, const line< T, 2 > &line)
template<typename T>
segment< T, 2 >	scale (const T &dx, const T &dy, const segment< T, 2 > &segment)
template<typename T>
triangle< T, 2 >	scale (const T &dx, const T &dy, const triangle< T, 2 > &triangle)
template<typename T>
quadix< T, 2 >	scale (const T &dx, const T &dy, const quadix< T, 2 > &quadix)
template<typename T>
rectangle< T >	scale (const T &dx, const T &dy, const rectangle< T > &rectangle)
template<typename T>
circle< T >	scale (const T &dr, const circle< T > &circle)
template<typename T>
polygon< T, 2 >	scale (const T &dx, const T &dy, const polygon< T, 2 > &polygon)
template<typename T>
point3d< T >	scale (const T &dx, const T &dy, const T &dz, const point3d< T > &point)
template<typename T>
line< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const line< T, 3 > &line)
template<typename T>
segment< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const segment< T, 3 > &segment)
template<typename T>
triangle< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const triangle< T, 3 > &triangle)
template<typename T>
quadix< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const quadix< T, 3 > &quadix)
template<typename T>
box< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const box< T, 3 > &box)
template<typename T>
sphere< T >	scale (const T &dr, const sphere< T > &sphere)
template<typename T>
polygon< T, 3 >	scale (const T &dx, const T &dy, const T &dz, const polygon< T, 3 > &polygon)
template<typename T>
rectangle< T >	aabb (const segment< T, 2 > &segment)
template<typename T>
rectangle< T >	aabb (const triangle< T, 2 > &triangle)
template<typename T>
rectangle< T >	aabb (const rectangle< T > &rectangle)
template<typename T>
rectangle< T >	aabb (const quadix< T, 2 > &quadix)
template<typename T>
rectangle< T >	aabb (const circle< T > &circle)
template<typename T>
rectangle< T >	aabb (const polygon< T, 2 > &polygon)
template<typename T>
void	aabb (const segment< T, 2 > &segment, T &x1, T &y1, T &x2, T &y2)
template<typename T>
void	aabb (const triangle< T, 2 > &triangle, T &x1, T &y1, T &x2, T &y2)
template<typename T>
void	aabb (const rectangle< T > &rectangle, T &x1, T &y1, T &x2, T &y2)
template<typename T>
void	aabb (const quadix< T, 2 > &quadix, T &x1, T &y1, T &x2, T &y2)
template<typename T>
void	aabb (const circle< T > &circle, T &x1, T &y1, T &x2, T &y2)
template<typename T>
void	aabb (const polygon< T, 2 > &polygon, T &x1, T &y1, T &x2, T &y2)
template<typename T>
box< T, 3 >	aabb (const segment< T, 3 > &segment)
template<typename T>
box< T, 3 >	aabb (const triangle< T, 3 > &triangle)
template<typename T>
box< T, 3 >	aabb (const box< T, 3 > &rectangle)
template<typename T>
box< T, 3 >	aabb (const quadix< T, 3 > &quadix)
template<typename T>
box< T, 3 >	aabb (const sphere< T > &sphere)
template<typename T>
box< T, 3 >	aabb (const polygon< T, 3 > &polygon)
template<typename T>
void	aabb (const segment< T, 3 > &segment, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
void	aabb (const triangle< T, 3 > &triangle, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
void	aabb (const box< T, 3 > &box, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
void	aabb (const quadix< T, 3 > &quadix, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
void	aabb (const sphere< T > &sphere, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
void	aabb (const polygon< T, 3 > &polygon, T &x1, T &y1, T &z1, T &x2, T &y2, T &z2)
template<typename T>
rectangle< T >	update_rectangle (const rectangle< T > &rectangle, point2d< T > &point)
template<typename T>
box< T, 3 >	update_box (const box< T, 3 > &box, point3d< T > &point)
template<typename T>
circle< T >	update_circle (const circle< T > &circle, point2d< T > &point)
template<typename T>
sphere< T >	update_sphere (const sphere< T > &sphere, point3d< T > &point)
template<typename T>
point2d< T >	generate_point_on_segment (const segment< T, 2 > &segment, const T &t)
template<typename T>
point3d< T >	generate_point_on_segment (const segment< T, 3 > &segment, const T &t)
template<typename T>
point2d< T >	generate_point_on_ray (const ray< T, 2 > &ray, const T &t)
template<typename T>
point3d< T >	generate_point_on_ray (const ray< T, 3 > &ray, const T &t)
template<typename T>
T	generate_random_value (const T &range)
template<typename T>
point2d< T >	generate_random_point (const T &dx, const T &dy)
template<typename T>
point3d< T >	generate_random_point (const T &dx, const T &dy, const T &dz)
template<typename T>
point2d< T >	generate_random_point (const segment< T, 2 > &segment)
template<typename T>
point3d< T >	generate_random_point (const segment< T, 3 > &segment)
template<typename T>
point2d< T >	generate_random_point (const triangle< T, 2 > &triangle)
template<typename T>
point3d< T >	generate_random_point (const triangle< T, 3 > &triangle)
template<typename T>
point2d< T >	generate_random_point (const quadix< T, 2 > &quadix)
template<typename T>
point3d< T >	generate_random_point (const quadix< T, 3 > &quadix)
template<typename T>
point2d< T >	generate_random_point (const rectangle< T > &rectangle)
template<typename T>
point3d< T >	generate_random_point (const box< T, 3 > &box)
template<typename T, typename OutputIterator>
void	generate_random_points (const T &x1, const T &y1, const T &x2, const T &y2, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const rectangle< T > &rectangle, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const box< T, 3 > &box, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const segment< T, 2 > &segment, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const segment< T, 3 > &segment, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const triangle< T, 2 > &triangle, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const triangle< T, 3 > &triangle, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const quadix< T, 2 > &quadix, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const quadix< T, 3 > &quadix, const std::size_t &point_count, OutputIterator out)
template<typename T, typename OutputIterator>
void	generate_random_points (const circle< T > &circle, const std::size_t &point_count, OutputIterator out)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &x2, const T &y2, segment< T, 2 > &segment)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &x2, const T &y2, rectangle< T > &rectangle)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &x2, const T &y2, triangle< T, 2 > &triangle)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &x2, const T &y2, quadix< T, 2 > &quadix)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &x2, const T &y2, circle< T > &circle)
template<typename T>
void	generate_random_object (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, box< T, 3 > &box)
template<typename T>
triangle< T, 2 >	right_shift (const triangle< T, 2 > &triangle, const std::size_t &shift)
template<typename T>
triangle< T, 3 >	right_shift (const triangle< T, 3 > &triangle, const std::size_t &shift)
template<typename T>
quadix< T, 2 >	right_shift (const quadix< T, 2 > &quadix, const std::size_t &shift)
template<typename T>
quadix< T, 3 >	right_shift (const quadix< T, 3 > &quadix, const std::size_t &shift)
template<typename T>
T	vector_norm (const vector2d< T > &v)
template<typename T>
T	vector_norm (const vector3d< T > &v)
template<typename T>
vector2d< T >	normalize (const vector2d< T > &v)
template<typename T>
vector3d< T >	normalize (const vector3d< T > &v)
template<typename T>
vector2d< T >	perpendicular (const vector2d< T > &v)
template<typename T>
vector3d< T >	perpendicular (const vector3d< T > &v)
template<typename T>
vector2d< T >	operator+ (const vector2d< T > &v1, const vector2d< T > &v2)
template<typename T>
vector3d< T >	operator+ (const vector3d< T > &v1, const vector3d< T > &v2)
template<typename T>
vector2d< T >	operator- (const vector2d< T > &v1, const vector2d< T > &v2)
template<typename T>
vector3d< T >	operator- (const vector3d< T > &v1, const vector3d< T > &v2)
template<typename T>
T	operator* (const vector2d< T > &v1, const vector2d< T > &v2)
template<typename T>
vector3d< T >	operator* (const vector3d< T > &v1, const vector3d< T > &v2)
template<typename T>
T	dot_product (const vector2d< T > &v1, const vector2d< T > &v2)
template<typename T>
T	dot_product (const vector3d< T > &v1, const vector3d< T > &v2)
template<typename T>
T	perpendicular_product (const vector2d< T > &v1, const vector2d< T > &v2)
template<typename T>
T	triple_product (const vector3d< T > &v1, const vector3d< T > &v2, const vector3d< T > &v3)
template<typename T>
vector2d< T >	operator* (const vector2d< T > &v1, const T &scale)
template<typename T>
vector3d< T >	operator* (const vector3d< T > &v1, const T &scale)
template<typename T>
vector2d< T >	operator* (const T &scale, const vector2d< T > &v1)
template<typename T>
vector3d< T >	operator* (const T &scale, const vector3d< T > &v1)
template<typename T>
vector2d< T >	operator/ (const vector2d< T > &v1, const T &scale)
template<typename T>
vector3d< T >	operator/ (const vector3d< T > &v1, const T &scale)
template<typename T>
point2d< T >	operator* (const point2d< T > &point, const T &scale)
template<typename T>
point3d< T >	operator* (const point3d< T > &point, const T &scale)
template<typename T>
point2d< T >	operator* (const T &scale, const point2d< T > &point)
template<typename T>
point3d< T >	operator* (const T &scale, const point3d< T > &point)
template<typename T>
point2d< T >	operator+ (const point2d< T > &point, const vector2d< T > &v)
template<typename T>
point2d< T >	operator+ (const vector2d< T > &v, const point2d< T > &point)
template<typename T>
point3d< T >	operator+ (const point3d< T > &point, const vector3d< T > &v)
template<typename T>
point3d< T >	operator+ (const vector3d< T > &v, const point3d< T > &point)
template<typename T>
vector2d< T >	operator- (const point2d< T > &p1, const point2d< T > &p2)
template<typename T>
vector3d< T >	operator- (const point3d< T > &p1, const point3d< T > &p2)
template<typename T>
point2d< T >	operator+ (const point2d< T > &p1, const point2d< T > &p2)
template<typename T>
point3d< T >	operator+ (const point3d< T > &p1, const point3d< T > &p2)
template<typename T>
bool	is_equal (const T &val1, const T &val2, const T &epsilon)
template<typename T>
bool	is_equal (const point2d< T > &point1, const point2d< T > &point2, const T &epsilon)
template<typename T>
bool	is_equal (const point3d< T > &point1, const point3d< T > &point2, const T &epsilon)
template<typename T>
bool	is_equal (const T &val1, const T &val2)
template<typename T>
bool	is_equal (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
bool	is_equal (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
bool	is_equal (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
bool	is_equal (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
bool	is_equal (const box< T, 3 > &box1, const box< T, 3 > &box2)
template<typename T>
bool	is_equal (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
bool	not_equal (const T &val1, const T &val2, const T &epsilon)
template<typename T>
bool	not_equal (const point2d< T > &point1, const point2d< T > &point2, const T &epsilon)
template<typename T>
bool	not_equal (const point3d< T > &point1, const point3d< T > &point2, const T &epsilon)
template<typename T>
bool	not_equal (const T &val1, const T &val2)
template<typename T>
bool	not_equal (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
bool	not_equal (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
bool	not_equal (const rectangle< T > &rectangle1, const rectangle< T > &rectangle2)
template<typename T>
bool	not_equal (const circle< T > &circle1, const circle< T > &circle2)
template<typename T>
bool	not_equal (const box< T, 3 > &box1, const box< T, 3 > &box2)
template<typename T>
bool	not_equal (const sphere< T > &sphere1, const sphere< T > &sphere2)
template<typename T>
bool	less_than_or_equal (const T &val1, const T &val2, const T &epsilon)
template<typename T>
bool	less_than_or_equal (const T &val1, const T &val2)
template<typename T>
bool	greater_than_or_equal (const T &val1, const T &val2, const T &epsilon)
template<typename T>
bool	greater_than_or_equal (const T &val1, const T &val2)
template<typename T>
bool	operator< (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
bool	operator< (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
bool	operator> (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
bool	operator> (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
bool	operator== (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
bool	operator== (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
bool	is_degenerate (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
bool	is_degenerate (const segment< T, 2 > &segment)
template<typename T>
bool	is_degenerate (const line< T, 2 > &line)
template<typename T>
bool	is_degenerate (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
bool	is_degenerate (const segment< T, 3 > &segment)
template<typename T>
bool	is_degenerate (const line< T, 3 > &line)
template<typename T>
bool	is_degenerate (const triangle< T, 2 > &triangle)
template<typename T>
bool	is_degenerate (const triangle< T, 3 > &triangle)
template<typename T>
bool	is_degenerate (const quadix< T, 2 > &quadix)
template<typename T>
bool	is_degenerate (const quadix< T, 3 > &quadix)
template<typename T>
bool	is_degenerate (const rectangle< T > &rectangle)
template<typename T>
bool	is_degenerate (const circle< T > &circle)
template<typename T>
bool	is_degenerate (const sphere< T > &sphere)
template<typename T>
bool	is_degenerate (const circular_arc< T > &arc)
template<typename T>
point2d< T >	degenerate_point2d ()
template<typename T>
point3d< T >	degenerate_point3d ()
template<typename T>
vector2d< T >	degenerate_vector2d ()
template<typename T>
vector3d< T >	degenerate_vector3d ()
template<typename T>
ray< T, 2 >	degenerate_ray2d ()
template<typename T>
ray< T, 3 >	degenerate_ray3d ()
template<typename T>
line< T, 2 >	degenerate_line2d ()
template<typename T>
line< T, 3 >	degenerate_line3d ()
template<typename T>
segment< T, 2 >	degenerate_segment2d ()
template<typename T>
segment< T, 3 >	degenerate_segment3d ()
template<typename T>
triangle< T, 2 >	degenerate_triangle2d ()
template<typename T>
triangle< T, 3 >	degenerate_triangle3d ()
template<typename T>
quadix< T, 2 >	degenerate_quadix2d ()
template<typename T>
quadix< T, 3 >	degenerate_quadix3d ()
template<typename T>
rectangle< T >	degenerate_rectangle ()
template<typename T>
circle< T >	degenerate_circle ()
template<typename T>
sphere< T >	degenerate_sphere ()
template<typename T>
point2d< T >	positive_infinite_point2d ()
template<typename T>
point2d< T >	negative_infinite_point2d ()
template<typename T>
point3d< T >	positive_infinite_point3d ()
template<typename T>
point3d< T >	negative_infinite_point3d ()
template<typename T>
void	swap (point2d< T > &point1, point2d< T > &point2)
template<typename T>
void	swap (point3d< T > &point1, point3d< T > &point2)
template<typename T>
point2d< T >	make_point (const T &x, const T &y)
template<typename T>
point3d< T >	make_point (const T &x, const T &y, const T &z)
template<typename T>
point2d< T >	make_point (const point3d< T > point)
template<typename T>
point3d< T >	make_point (const point2d< T > point, const T &z=T(0.0))
template<typename T>
point2d< T >	make_point (const circle< T > &circle)
template<typename T>
point3d< T >	make_point (const sphere< T > &sphere)
template<typename T>
vector2d< T >	make_vector (const T &x, const T &y)
template<typename T>
vector3d< T >	make_vector (const T &x, const T &y, const T &z)
template<typename T>
vector2d< T >	make_vector (const vector3d< T > v)
template<typename T>
vector3d< T >	make_vector (const vector2d< T > v, const T &z=T(0.0))
template<typename T>
vector2d< T >	make_vector (const point2d< T > point)
template<typename T>
vector3d< T >	make_vector (const point3d< T > point)
template<typename T>
ray< T, 2 >	make_ray (const T &ox, const T &oy, const T &dir_x, const T &dir_y)
template<typename T>
ray< T, 3 >	make_ray (const T &ox, const T &oy, const T &oz, const T &dir_x, const T &dir_y, const T &dir_z)
template<typename T>
ray< T, 2 >	make_ray (const point2d< T > &origin, const vector2d< T > &direction)
template<typename T>
ray< T, 3 >	make_ray (const point3d< T > &origin, const vector3d< T > &direction)
template<typename T>
ray< T, 2 >	make_ray (const point2d< T > &origin, const T &bearing)
template<typename T>
curve_point< T, 2 >	make_curve_point (const T &x, const T &y, const T &t)
template<typename T>
curve_point< T, 3 >	make_curve_point (const T &x, const T &y, const T &z, const T &t)
template<typename T>
curve_point< T, 2 >	make_curve_point (const point2d< T > &point, const T &t)
template<typename T>
curve_point< T, 3 >	make_curve_point (const point3d< T > &point, const T &t)
template<typename T>
segment< T, 2 >	make_segment (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
segment< T, 3 >	make_segment (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
segment< T, 2 >	make_segment (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
segment< T, 3 >	make_segment (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
segment< T, 2 >	make_segment (const line< T, 2 > &line)
template<typename T>
segment< T, 3 >	make_segment (const line< T, 3 > &line)
template<typename T>
line< T, 2 >	make_line (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
line< T, 3 >	make_line (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
line< T, 2 >	make_line (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
line< T, 3 >	make_line (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
line< T, 2 >	make_line (const segment< T, 2 > &segment)
template<typename T>
line< T, 3 >	make_line (const segment< T, 3 > &segment)
template<typename T>
line< T, 2 >	make_line (const ray< T, 2 > &ray)
template<typename T>
line< T, 3 >	make_line (const ray< T, 3 > &ray)
template<typename T>
rectangle< T >	make_rectangle (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
rectangle< T >	make_rectangle (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
box< T, 3 >	make_box (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2)
template<typename T>
box< T, 3 >	make_box (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
triangle< T, 2 >	make_triangle (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3)
template<typename T>
triangle< T, 3 >	make_triangle (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
triangle< T, 2 >	make_triangle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
triangle< T, 3 >	make_triangle (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
quadix< T, 2 >	make_quadix (const T &x1, const T &y1, const T &x2, const T &y2, const T &x3, const T &y3, const T &x4, const T &y4)
template<typename T>
quadix< T, 3 >	make_quadix (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3, const T &x4, const T &y4, const T &z4)
template<typename T>
quadix< T, 2 >	make_quadix (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3, const point2d< T > &point4)
template<typename T>
quadix< T, 3 >	make_quadix (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3, const point3d< T > &point4)
template<typename T>
quadix< T, 2 >	make_quadix (const T &x1, const T &y1, const T &x2, const T &y2)
template<typename T>
quadix< T, 2 >	make_quadix (const rectangle< T > &rectangle)
template<typename T>
circle< T >	make_circle (const T &x, const T &y, const T &radius)
template<typename T>
circle< T >	make_circle (const point2d< T > &point, const T &radius)
template<typename T>
circle< T >	make_circle (const point2d< T > &point1, const point2d< T > &point2)
template<typename T>
circle< T >	make_circle (const point2d< T > &point1, const point2d< T > &point2, const point2d< T > &point3)
template<typename T>
circle< T >	make_circle (const triangle< T, 2 > &triangle)
template<typename T>
sphere< T >	make_sphere (const T &x, const T &y, const T &z, const T &radius)
template<typename T>
sphere< T >	make_sphere (const point3d< T > &point, const T &radius)
template<typename T>
sphere< T >	make_sphere (const point3d< T > &point1, const point3d< T > &point2)
template<typename T>
plane< T, 3 >	make_plane (const T &x1, const T &y1, const T &z1, const T &x2, const T &y2, const T &z2, const T &x3, const T &y3, const T &z3)
template<typename T>
plane< T, 3 >	make_plane (const T &px, const T &py, const T &pz, const T &nx, const T &ny, const T &nz)
template<typename T>
plane< T, 3 >	make_plane (const point3d< T > &point1, const point3d< T > &point2, const point3d< T > &point3)
template<typename T>
plane< T, 3 >	make_plane (const point3d< T > &point, const vector3d< T > &normal)
template<typename T>
plane< T, 3 >	make_plane (const triangle< T, 3 > &triangle)
template<typename T, std::size_t D, typename InputIterator>
polygon< T, D >	make_polygon (const InputIterator begin, const InputIterator end)
template<typename T>
polygon< T, 2 >	make_polygon (const std::vector< point2d< T > > &point_list)
template<typename T>
polygon< T, 3 >	make_polygon (const std::vector< point3d< T > > &point_list)
template<typename T>
polygon< T, 2 >	make_polygon (const triangle< T, 2 > &triangle)
template<typename T>
polygon< T, 2 >	make_polygon (const quadix< T, 2 > &quadix)
template<typename T>
polygon< T, 2 >	make_polygon (const rectangle< T > &rectangle)
template<typename T>
polygon< T, 2 >	make_polygon (const circle< T > &circle, const unsigned int point_count=360)
template<typename T>
T	sqr (const T &val)
template<typename T>
T	sqrt (const T &val)
template<typename T>
T	abs (const T &value)
template<typename T>
T	max (const T &value1, const T &value2)
template<typename T>
T	min (const T &value1, const T &value2)
template<typename T>
T	max (const T &value1, const T &value2, const T &value3)
template<typename T>
T	min (const T &value1, const T &value2, const T &value3)
template<typename T>
T	infinity ()
template<typename T>
T	sin (const T &value)
template<typename T>
T	cos (const T &value)
template<typename T>
T	tan (const T &value)
template<typename T>
T	asin (const T &value)
template<typename T>
T	acos (const T &value)
template<typename T>
T	atan (const T &value)
template<typename T>
T	approx_sin (T angle)
template<typename T>
T	approx_cos (T angle)
template<typename T>
T	approx_tan (T angle)
template<typename T>
T	clamp (const T &value, const T &low, const T &high)
template<typename T>
T	det (const matrix< T, 1, 1 > &matrix)
template<typename T>
T	det (const matrix< T, 2, 2 > &matrix)
template<typename T>
T	det (const matrix< T, 3, 3 > &matrix)
template<typename T>
T	det (const matrix< T, 4, 4 > &matrix)
template<typename T>
void	transpose (matrix< T, 1, 1 > &matrix)
template<typename T>
void	transpose (matrix< T, 2, 2 > &matrix)
template<typename T>
void	transpose (matrix< T, 3, 3 > &matrix)
template<typename T>
void	transpose (matrix< T, 4, 4 > &matrix)
template<typename T>
void	inverse (matrix< T, 2, 2 > &out_matrix, const matrix< T, 2, 2 > &in_matrix)
template<typename T>
void	inverse (matrix< T, 3, 3 > &out_matrix, const matrix< T, 3, 3 > &in_matrix)
template<typename T>
void	inverse (matrix< T, 4, 4 > &out_matrix, const matrix< T, 4, 4 > &in_matrix)
template<typename T, std::size_t N>
void	inverse (matrix< T, N, N > &out_matrix, const matrix< T, N, N > &in_matrix)
template<typename T>
void	eigen_values (const matrix< T, 2, 2 > &matrix, T &eigen_value1, T &eigen_value2)
template<typename T>
void	eigenvector (const matrix< T, 2, 2 > &matrix, vector2d< T > &eigenvector1, vector2d< T > &eigenvector2)
template<typename T, std::size_t D>
bool	parallel (const line< T, D > &line1, const line< T, D > &line2)
template<typename T, std::size_t D>
bool	parallel (const segment< T, D > &segment1, const segment< T, D > &segment2)
template<typename T, std::size_t D>
bool	perpendicular (const line< T, D > &line1, const line< T, D > &line2)
template<typename T, std::size_t D>
bool	perpendicular (const segment< T, D > &segment1, const segment< T, D > &segment2)
template<typename T, std::size_t D>
bool	collinear (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const pointnd< T, D > &point3)
template<typename T, std::size_t D>
bool	robust_collinear (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const pointnd< T, D > &point3)
template<typename T, std::size_t D>
bool	is_point_collinear (const segment< T, D > &segment, const pointnd< T, D > &point, const bool robust=false)
template<typename T, std::size_t D>
bool	intersect (const segment< T, D > &segment1, const segment< T, D > &segment2, const T &fuzzy=T(0.0))
template<typename T, std::size_t D>
bool	intersect (const line< T, D > &line1, const line< T, D > &line2, const T &fuzzy=T(0.0))
template<typename T, std::size_t D>
pointnd< T, D >	intersection_point (const segment< T, D > &segment1, const segment< T, D > &segment2, const T &fuzzy=T(0.0))
template<typename T, std::size_t D>
pointnd< T, D >	intersection_point (const line< T, D > &line1, const line< T, D > &line2, const T &fuzzy=T(0.0))
template<typename T, std::size_t D>
T	distance (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
T	distance (const pointnd< T, D > &point, const segment< T, D > &segment)
template<typename T, std::size_t D>
T	distance (const pointnd< T, D > &point, const line< T, D > &line)
template<typename T, std::size_t D>
T	distance (const segment< T, D > &segment1, const segment< T, D > &segment2)
template<typename T, std::size_t D>
T	distance (const line< T, D > &line1, const line< T, D > &line2)
template<typename T, std::size_t D>
T	lay_distance (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
T	lay_distance (const pointnd< T, D > &point, const segment< T, D > &segment)
template<typename T, std::size_t D>
T	lay_distance (const pointnd< T, D > &point, const line< T, D > &line)
template<typename T, std::size_t D>
T	lay_distance (const segment< T, D > &segment1, const segment< T, D > &segment2)
template<typename T, std::size_t D>
T	lay_distance (const line< T, D > &line1, const line< T, D > &line2)
template<typename T, std::size_t D>
T	manhattan_distance (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
T	chebyshev_distance (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
T	inverse_chebyshev_distance (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
bool	point_in_box (const pointnd< T, D > &point, const box< T, D > &box)
template<typename T, std::size_t D>
bool	point_in_sphere (const pointnd< T, D > &point, const hypersphere< T, D > &hypersphere)
template<typename T, std::size_t D>
pointnd< T, D >	closest_point_on_segment_from_point (const segment< T, D > &segment, const pointnd< T, D > &point)
template<typename T, std::size_t D>
pointnd< T, D >	closest_point_on_line_from_point (const line< T, D > &segment, const pointnd< T, D > &point)
template<typename T, std::size_t D>
pointnd< T, D >	closest_point_on_sphere_from_point (const hypersphere< T, D > &sphere, const pointnd< T, D > &point)
template<typename T, std::size_t D>
pointnd< T, D >	closest_point_on_plane_from_point (const plane< T, D > &plane, const pointnd< T, D > &point)
template<typename T, std::size_t D>
pointnd< T, D >	closest_point_on_box_from_point (const box< T, D > &box, const pointnd< T, D > &point)
template<typename T, std::size_t D>
pointnd< T, D >	project_point_t (const pointnd< T, D > &source_point, const pointnd< T, D > &destination_point, const T &t)
template<typename T, std::size_t D>
pointnd< T, D >	project_point (const pointnd< T, D > &source_point, const pointnd< T, D > &destination_point, const T &distance)
template<typename T, std::size_t D>
pointnd< T, D >	mirror (const pointnd< T, D > &point, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
segment< T, D >	mirror (const segment< T, D > &segment, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
line< T, D >	mirror (const line< T, D > &line, const wykobi::line< T, D > &mirror_axis)
template<typename T, std::size_t D>
box< T, D >	mirror (const box< T, D > &box, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
triangle< T, D >	mirror (const triangle< T, D > &triangle, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
quadix< T, D >	mirror (const quadix< T, D > &quadix, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
hypersphere< T, D >	mirror (const hypersphere< T, D > &sphere, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
polygon< T, D >	mirror (const polygon< T, D > &polygon, const line< T, D > &mirror_axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const pointnd< T, D > &point, const line< T, D > &axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const triangle< T, D > &triangle, const line< T, D > &axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const box< T, D > &box, const line< T, D > &axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const quadix< T, D > &quadix, const line< T, D > &axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const hypersphere< T, D > &sphere, const line< T, D > &axis)
template<typename T, std::size_t D>
segment< T, D >	project_onto_axis (const polygon< T, D > &polygon, const line< T, D > &axis)
template<typename T, std::size_t D>
T	perimeter (const triangle< T, D > &triangle)
template<typename T, std::size_t D>
T	perimeter (const quadix< T, D > &quadix)
template<typename T, std::size_t D>
T	perimeter (const polygon< T, D > &polygon)
template<typename T, std::size_t D>
pointnd< T, D >	generate_random_point (const segment< T, D > &segment)
template<typename T, std::size_t D>
pointnd< T, D >	generate_random_point (const triangle< T, D > &triangle)
template<typename T, std::size_t D>
pointnd< T, D >	generate_random_point (const quadix< T, D > &quadix)
template<typename T, std::size_t D>
pointnd< T, D >	generate_random_point (const box< T, D > &box)
template<typename T, std::size_t D, typename OutputIterator>
void	generate_random_points (const box< T, D > &box, const std::size_t &point_count, OutputIterator out)
template<typename T, std::size_t D, typename OutputIterator>
void	generate_random_points (const segment< T, D > &segment, const std::size_t &point_count, OutputIterator out)
template<typename T, std::size_t D, typename OutputIterator>
void	generate_random_points (const triangle< T, D > &triangle, const std::size_t &point_count, OutputIterator out)
template<typename T, std::size_t D, typename OutputIterator>
void	generate_random_points (const quadix< T, D > &quadix, const std::size_t &point_count, OutputIterator out)
template<typename T, std::size_t D>
T	vector_norm (const vectornd< T, D > &v)
template<typename T, std::size_t D>
vectornd< T, D >	normalize (const vectornd< T, D > &v)
template<typename T, std::size_t D>
vectornd< T, D >	operator+ (const vectornd< T, D > &v1, const vectornd< T, D > &v2)
template<typename T, std::size_t D>
vectornd< T, D >	operator- (const vectornd< T, D > &v1, const vectornd< T, D > &v2)
template<typename T, std::size_t D>
T	dot_product (const vectornd< T, D > &v1, const vectornd< T, D > &v2)
template<typename T, std::size_t D>
vectornd< T, D >	operator* (const vectornd< T, D > &v1, const T &scale)
template<typename T, std::size_t D>
vectornd< T, D >	operator* (const T &scale, const vectornd< T, D > &v1)
template<typename T, std::size_t D>
pointnd< T, D >	operator* (const pointnd< T, D > &point, const T &scale)
template<typename T, std::size_t D>
pointnd< T, D >	operator* (const T &scale, const pointnd< T, D > &point)
template<typename T, std::size_t D>
vectornd< T, D >	operator/ (const vectornd< T, D > &v1, const T &scale)
template<typename T, std::size_t D>
pointnd< T, D >	operator/ (const pointnd< T, D > &point, const T &scale)
template<typename T, std::size_t D>
pointnd< T, D >	operator+ (const pointnd< T, D > &point, const vectornd< T, D > &v)
template<typename T, std::size_t D>
pointnd< T, D >	operator+ (const vectornd< T, D > &v, const pointnd< T, D > &point)
template<typename T, std::size_t D>
vectornd< T, D >	operator- (const pointnd< T, D > &p1, const pointnd< T, D > &p2)
template<typename T, std::size_t D>
pointnd< T, D >	operator+ (const pointnd< T, D > &p1, const pointnd< T, D > &p2)
template<typename T>
T	operator* (const vectornd< T, 2 > &v1, const vectornd< T, 2 > &v2)
template<typename T>
vectornd< T, 3 >	operator* (const vectornd< T, 3 > &v1, const vectornd< T, 3 > &v2)
template<typename T, std::size_t D>
bool	operator< (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
bool	operator> (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
bool	operator== (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
bool	is_equal (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const T &epsilon)
template<typename T, std::size_t D>
bool	is_equal (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
bool	not_equal (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const T &epsilon)
template<typename T, std::size_t D>
bool	not_equal (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
pointnd< T, D >	degenerate_pointnd ()
template<typename T, std::size_t D>
vectornd< T, D >	degenerate_vectornd ()
template<typename T, std::size_t D>
ray< T, D >	degenerate_raynd ()
template<typename T, std::size_t D>
line< T, D >	degenerate_linend ()
template<typename T, std::size_t D>
segment< T, D >	degenerate_segmentnd ()
template<typename T, std::size_t D>
triangle< T, D >	degenerate_trianglend ()
template<typename T, std::size_t D>
quadix< T, D >	degenerate_quadixnd ()
template<typename T, std::size_t D>
box< T, D >	degenerate_box ()
template<typename T, std::size_t D>
hypersphere< T, D >	degenerate_hypersphere ()
template<typename T, std::size_t D>
pointnd< T, D >	positive_infinite_pointnd ()
template<typename T, std::size_t D>
pointnd< T, D >	negative_infinite_pointnd ()
template<typename T, std::size_t D>
void	swap (pointnd< T, D > &point1, pointnd< T, D > &point2)
template<typename T, std::size_t D>
vectornd< T, D >	make_vector (const pointnd< T, D > &point)
template<typename T, std::size_t D>
ray< T, D >	make_ray (const pointnd< T, D > &origin, const vectornd< T, D > &direction)
template<typename T, std::size_t D>
segment< T, D >	make_segment (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
line< T, D >	make_line (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
box< T, D >	make_box (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
triangle< T, D >	make_triangle (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const pointnd< T, D > &point3)
template<typename T, std::size_t D>
quadix< T, D >	make_quadix (const pointnd< T, D > &point1, const pointnd< T, D > &point2, const pointnd< T, D > &point3, const pointnd< T, D > &point4)
template<typename T, std::size_t D>
hypersphere< T, D >	make_sphere (const pointnd< T, D > &point, const T &radius)
template<typename T, std::size_t D>
hypersphere< T, D >	make_sphere (const pointnd< T, D > &point1, const pointnd< T, D > &point2)
template<typename T, std::size_t D>
polygon< T, D >	make_polygon (const std::vector< pointnd< T, D > > &point_list)
template<typename T, std::size_t D>
polygon< T, D >	make_polygon (const triangle< T, D > &triangle)
template<typename T, std::size_t D>
polygon< T, D >	make_polygon (const quadix< T, D > &quadix)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const point2d< Type > &point)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const point3d< Type > &point)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const vector2d< Type > &v)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const vector3d< Type > &v)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const ray< Type, 2 > &ray)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const ray< Type, 3 > &ray)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const pointnd< Type, Dimension > &point)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const segment< Type, Dimension > &segment)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const line< Type, Dimension > &line)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const triangle< Type, Dimension > &triangle)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const rectangle< Type > &rectangle)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const box< Type, Dimension > &box)
template<typename Type, std::size_t Dimension>
std::ostream &	operator<< (std::ostream &os, const quadix< Type, Dimension > &quadix)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const circle< Type > &circle)
template<typename Type>
std::ostream &	operator<< (std::ostream &os, const sphere< Type > &sphere)
template<typename Type, std::size_t M, std::size_t N>
std::ostream &	operator<< (std::ostream &os, const matrix< Type, M, N > &matrix)

Variables
const int	RightHandSide = -1
const int	LeftHandSide = +1
const int	Clockwise = -1
const int	CounterClockwise = +1
const int	CollinearOrientation = 0
const int	AboveOrientation = +1
const int	BelowOrientation = -1
const int	CoplanarOrientation = 0
const int	PointInside = +1
const int	PointOutside = -1
const int	Cocircular = 0
const int	Cospherical = 0
const int	CLIP_BOTTOM = 1
const int	CLIP_TOP = 2
const int	CLIP_LEFT = 4
const int	CLIP_RIGHT = 8
const GLfloat	basic_color [14][3]

Typedef Documentation

dbl_pnt_2d

typedef wykobi::point2d<double>* wykobi::dbl_pnt_2d

dbl_pnt_3d

typedef wykobi::point3d<double>* wykobi::dbl_pnt_3d

Float

typedef double wykobi::Float

flt_pnt_2d

typedef wykobi::point2d<float>* wykobi::flt_pnt_2d

flt_pnt_3d

typedef wykobi::point3d<float>* wykobi::flt_pnt_3d

line2d

typedef line<Float, 2> wykobi::line2d

line3d

typedef line<Float, 3> wykobi::line3d

quadix2d

typedef quadix<Float, 2> wykobi::quadix2d

quadix3d

typedef quadix<Float, 3> wykobi::quadix3d

segment2d

typedef segment<Float, 2> wykobi::segment2d

segment3d

typedef segment<Float, 3> wykobi::segment3d

triangle2d

typedef triangle<Float, 2> wykobi::triangle2d

triangle3d

typedef triangle<Float, 3> wykobi::triangle3d

Enumeration Type Documentation

BezierType

enum wykobi::BezierType

Enumerator
eQuadraticBezier
eCubicBezier

DrawingMode

enum wykobi::DrawingMode

Enumerator
eNoDraw
eSolid
eOutLine

eInclusion

enum wykobi::eInclusion

Enumerator
eFully
ePartially
eOutside
eUnknown

eTriangleType

enum wykobi::eTriangleType

Enumerator
etEquilateral
etIsosceles
etRight
etScalene
etObtuse
etUnknown

geometric_type

enum wykobi::geometric_type

Enumerator
ePoint2D
ePoint3D
eSegment2D
eSegment3D
eRectangle
eBox
eLine2D
eLine3D
eTriangle2D
eTriangle3D
eQuadix2D
eQuadix3D
eRay2D
eRay3D
eCircle
eSphere

Function Documentation

aabb() [1/24]

template<typename T>

void wykobi::aabb ( const box< T, 3 > & box, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

aabb() [2/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const box< T, 3 > & rectangle )

inline

aabb() [3/24]

template<typename T>

rectangle< T > wykobi::aabb ( const circle< T > & circle )

inline

aabb() [4/24]

template<typename T>

void wykobi::aabb ( const circle< T > & circle, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [5/24]

template<typename T>

rectangle< T > wykobi::aabb ( const polygon< T, 2 > & polygon )

inline

aabb() [6/24]

template<typename T>

void wykobi::aabb ( const polygon< T, 2 > & polygon, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [7/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const polygon< T, 3 > & polygon )

inline

aabb() [8/24]

template<typename T>

void wykobi::aabb ( const polygon< T, 3 > & polygon, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

aabb() [9/24]

template<typename T>

rectangle< T > wykobi::aabb ( const quadix< T, 2 > & quadix )

inline

aabb() [10/24]

template<typename T>

void wykobi::aabb ( const quadix< T, 2 > & quadix, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [11/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const quadix< T, 3 > & quadix )

inline

aabb() [12/24]

template<typename T>

void wykobi::aabb ( const quadix< T, 3 > & quadix, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

aabb() [13/24]

template<typename T>

rectangle< T > wykobi::aabb ( const rectangle< T > & rectangle )

inline

aabb() [14/24]

template<typename T>

void wykobi::aabb ( const rectangle< T > & rectangle, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [15/24]

template<typename T>

rectangle< T > wykobi::aabb ( const segment< T, 2 > & segment )

inline

aabb() [16/24]

template<typename T>

void wykobi::aabb ( const segment< T, 2 > & segment, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [17/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const segment< T, 3 > & segment )

inline

aabb() [18/24]

template<typename T>

void wykobi::aabb ( const segment< T, 3 > & segment, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

aabb() [19/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const sphere< T > & sphere )

inline

aabb() [20/24]

template<typename T>

void wykobi::aabb ( const sphere< T > & sphere, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

aabb() [21/24]

template<typename T>

rectangle< T > wykobi::aabb ( const triangle< T, 2 > & triangle )

inline

aabb() [22/24]

template<typename T>

void wykobi::aabb ( const triangle< T, 2 > & triangle, T & x1, T & y1, T & x2, T & y2 )

inline

aabb() [23/24]

template<typename T>

box< T, 3 > wykobi::aabb ( const triangle< T, 3 > & triangle )

inline

aabb() [24/24]

template<typename T>

void wykobi::aabb ( const triangle< T, 3 > & triangle, T & x1, T & y1, T & z1, T & x2, T & y2, T & z2 )

inline

abs()

template<typename T>

T wykobi::abs ( const T & value )

inline

acos()

template<typename T>

T wykobi::acos ( const T & value )

inline

antipodal_point() [1/2]

template<typename T>

point2d< T > wykobi::antipodal_point ( const point2d< T > & point, const circle< T > & circle )

inline

antipodal_point() [2/2]

template<typename T>

point3d< T > wykobi::antipodal_point ( const point3d< T > & point, const sphere< T > & sphere )

inline

approx_cos()

template<typename T>

T wykobi::approx_cos ( T angle )

inline

approx_sin()

template<typename T>

T wykobi::approx_sin ( T angle )

inline

approx_tan()

template<typename T>

T wykobi::approx_tan ( T angle )

inline

are_perspective_triangles() [1/2]

template<typename T>

bool wykobi::are_perspective_triangles ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

are_perspective_triangles() [2/2]

template<typename T>

bool wykobi::are_perspective_triangles ( const triangle< T, 3 > & triangle1, const triangle< T, 3 > & triangle2 )

inline

area() [1/9]

template<typename T>

T wykobi::area ( const circle< T > & circle )

inline

area() [2/9]

template<typename T>

T wykobi::area ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

area() [3/9]

template<typename T>

T wykobi::area ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

area() [4/9]

template<typename T>

T wykobi::area ( const polygon< T, 2 > & polygon )

inline

area() [5/9]

template<typename T>

T wykobi::area ( const quadix< T, 2 > & quadix )

inline

area() [6/9]

template<typename T>

T wykobi::area ( const quadix< T, 3 > & quadix )

inline

area() [7/9]

template<typename T>

T wykobi::area ( const rectangle< T > & rectangle )

inline

area() [8/9]

template<typename T>

T wykobi::area ( const triangle< T, 2 > & triangle )

inline

area() [9/9]

template<typename T>

T wykobi::area ( const triangle< T, 3 > & triangle )

inline

asin()

template<typename T>

T wykobi::asin ( const T & value )

inline

atan()

template<typename T>

T wykobi::atan ( const T & value )

inline

bezier_convex_hull() [1/2]

template<typename T>

quadix< T, 2 > wykobi::bezier_convex_hull ( const cubic_bezier< T, 2 > & bezier )

inline

bezier_convex_hull() [2/2]

template<typename T>

triangle< T, 2 > wykobi::bezier_convex_hull ( const quadratic_bezier< T, 2 > & bezier )

inline

bezier_curve_length() [1/4]

template<typename T>

T wykobi::bezier_curve_length ( const cubic_bezier< T, 2 > & bezier, const std::size_t & point_count )

inline

bezier_curve_length() [2/4]

template<typename T>

T wykobi::bezier_curve_length ( const cubic_bezier< T, 3 > & bezier, const std::size_t & point_count )

inline

bezier_curve_length() [3/4]

template<typename T>

T wykobi::bezier_curve_length ( const quadratic_bezier< T, 2 > & bezier, const std::size_t & point_count )

inline

bezier_curve_length() [4/4]

template<typename T>

T wykobi::bezier_curve_length ( const quadratic_bezier< T, 3 > & bezier, const std::size_t & point_count )

inline

box_corner()

template<typename T>

point3d< T > wykobi::box_corner ( const box< T, 3 > & box, const std::size_t & corner_index )

inline

box_to_box_intersect() [1/2]

template<typename T>

bool wykobi::box_to_box_intersect ( const box< T, 3 > & box1, const box< T, 3 > & box2 )

inline

box_to_box_intersect() [2/2]

template<typename T>

bool wykobi::box_to_box_intersect ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

box_within_box() [1/2]

template<typename T>

bool wykobi::box_within_box ( const box< T, 3 > & box1, const box< T, 3 > & box2 )

inline

box_within_box() [2/2]

template<typename T>

bool wykobi::box_within_box ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

brocard_circle()

template<typename T>

circle< T > wykobi::brocard_circle ( const triangle< T, 2 > & triangle )

inline

calculate_bezier_coefficients() [1/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const cubic_bezier< T, 2 > & bezier, bezier_coefficients< T, 2, eCubicBezier > & coeffs )

inline

calculate_bezier_coefficients() [2/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const cubic_bezier< T, 2 > & bezier, T & ax, T & bx, T & cx, T & ay, T & by, T & cy )

inline

calculate_bezier_coefficients() [3/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const cubic_bezier< T, 3 > & bezier, bezier_coefficients< T, 3, eCubicBezier > & coeffs )

inline

calculate_bezier_coefficients() [4/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const cubic_bezier< T, 3 > & bezier, T & ax, T & bx, T & cx, T & ay, T & by, T & cy, T & az, T & bz, T & cz )

inline

calculate_bezier_coefficients() [5/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const quadratic_bezier< T, 2 > & bezier, bezier_coefficients< T, 2, eQuadraticBezier > & coeffs )

inline

calculate_bezier_coefficients() [6/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const quadratic_bezier< T, 2 > & bezier, T & ax, T & bx, T & ay, T & by )

inline

calculate_bezier_coefficients() [7/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const quadratic_bezier< T, 3 > & bezier, bezier_coefficients< T, 3, eQuadraticBezier > & coeffs )

inline

calculate_bezier_coefficients() [8/8]

template<typename T>

void wykobi::calculate_bezier_coefficients ( const quadratic_bezier< T, 3 > & bezier, T & ax, T & bx, T & ay, T & by, T & az, T & bz )

inline

cartesian_angle() [1/4]

template<typename T>

T wykobi::cartesian_angle ( const point2d< T > & point )

inline

cartesian_angle() [2/4]

template<typename T>

T wykobi::cartesian_angle ( const point2d< T > & point, const point2d< T > & origin )

inline

cartesian_angle() [3/4]

template<typename T>

T wykobi::cartesian_angle ( const T & x, const T & y )

inline

cartesian_angle() [4/4]

template<typename T>

T wykobi::cartesian_angle ( const T & x, const T & y, const T & ox, const T & oy )

inline

center_at_location() [1/16]

template<typename T>

box< T, 3 > wykobi::center_at_location ( const box< T, 3 > & box, const point3d< T > & center_point )

inline

center_at_location() [2/16]

template<typename T>

box< T, 3 > wykobi::center_at_location ( const box< T, 3 > & box, const T & x, const T & y, const T & z )

inline

center_at_location() [3/16]

template<typename T>

circle< T > wykobi::center_at_location ( const circle< T > & circle, const point2d< T > & center_point )

inline

center_at_location() [4/16]

template<typename T>

circle< T > wykobi::center_at_location ( const circle< T > & circle, const T & x, const T & y )

inline

center_at_location() [5/16]

template<typename T>

polygon< T, 2 > wykobi::center_at_location ( const polygon< T, 2 > & polygon, const point2d< T > & center_point )

inline

center_at_location() [6/16]

template<typename T>

polygon< T, 2 > wykobi::center_at_location ( const polygon< T, 2 > & polygon, const T & x, const T & y )

inline

center_at_location() [7/16]

template<typename T>

quadix< T, 2 > wykobi::center_at_location ( const quadix< T, 2 > & quadix, const point2d< T > & center_point )

inline

center_at_location() [8/16]

template<typename T>

quadix< T, 2 > wykobi::center_at_location ( const quadix< T, 2 > & quadix, const T & x, const T & y )

inline

center_at_location() [9/16]

template<typename T>

rectangle< T > wykobi::center_at_location ( const rectangle< T > & rectangle, const point2d< T > & center_point )

inline

center_at_location() [10/16]

template<typename T>

rectangle< T > wykobi::center_at_location ( const rectangle< T > & rectangle, const T & x, const T & y )

inline

center_at_location() [11/16]

template<typename T>

segment< T, 2 > wykobi::center_at_location ( const segment< T, 2 > & segment, const point2d< T > & center_point )

inline

center_at_location() [12/16]

template<typename T>

segment< T, 2 > wykobi::center_at_location ( const segment< T, 2 > & segment, const T & x, const T & y )

inline

center_at_location() [13/16]

template<typename T>

segment< T, 3 > wykobi::center_at_location ( const segment< T, 3 > & segment, const point3d< T > & center_point )

inline

center_at_location() [14/16]

template<typename T>

segment< T, 3 > wykobi::center_at_location ( const segment< T, 3 > & segment, const T & x, const T & y, const T & z )

inline

center_at_location() [15/16]

template<typename T>

triangle< T, 2 > wykobi::center_at_location ( const triangle< T, 2 > & triangle, const point2d< T > & center_point )

inline

center_at_location() [16/16]

template<typename T>

triangle< T, 2 > wykobi::center_at_location ( const triangle< T, 2 > & triangle, const T & x, const T & y )

inline

centroid() [1/20]

template<typename T>

point3d< T > wykobi::centroid ( const box< T, 3 > & box )

inline

centroid() [2/20]

template<typename T>

void wykobi::centroid ( const box< T, 3 > & box, T & x, T & y, T & z )

inline

centroid() [3/20]

template<typename T>

point2d< T > wykobi::centroid ( const point2d< T > & point1, const point2d< T > & point2 )

inline

centroid() [4/20]

template<typename T>

point2d< T > wykobi::centroid ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

centroid() [5/20]

template<typename T>

point2d< T > wykobi::centroid ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

centroid() [6/20]

template<typename T>

point2d< T > wykobi::centroid ( const polygon< T, 2 > & polygon )

inline

centroid() [7/20]

template<typename T>

void wykobi::centroid ( const polygon< T, 2 > & polygon, T & x, T & y )

inline

centroid() [8/20]

template<typename T>

point2d< T > wykobi::centroid ( const quadix< T, 2 > & quadix )

inline

centroid() [9/20]

template<typename T>

void wykobi::centroid ( const quadix< T, 2 > & quadix, T & x, T & y )

inline

centroid() [10/20]

template<typename T>

point2d< T > wykobi::centroid ( const rectangle< T > & rectangle )

inline

centroid() [11/20]

template<typename T>

void wykobi::centroid ( const rectangle< T > & rectangle, T & x, T & y )

inline

centroid() [12/20]

template<typename T>

point2d< T > wykobi::centroid ( const segment< T, 2 > & segment )

inline

centroid() [13/20]

template<typename T>

void wykobi::centroid ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, T & x, T & y )

inline

centroid() [14/20]

template<typename T>

void wykobi::centroid ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, T & x, T & y )

inline

centroid() [15/20]

template<typename T>

void wykobi::centroid ( const T & x1, const T & y1, const T & x2, const T & y2, T & x, T & y )

inline

centroid() [16/20]

template<typename T>

void wykobi::centroid ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, T & x, T & y, T & z )

inline

centroid() [17/20]

template<typename T>

point2d< T > wykobi::centroid ( const triangle< T, 2 > & triangle )

inline

centroid() [18/20]

template<typename T>

void wykobi::centroid ( const triangle< T, 2 > & triangle, T & x, T & y )

inline

centroid() [19/20]

template<typename T>

point3d< T > wykobi::centroid ( const triangle< T, 3 > & triangle )

inline

centroid() [20/20]

template<typename T>

void wykobi::centroid ( const triangle< T, 3 > & triangle, T & x, T & y, T & z )

inline

chebyshev_distance() [1/8]

template<typename T>

T wykobi::chebyshev_distance ( const circle< T > & circle1, const circle< T > & circle2 )

inline

chebyshev_distance() [2/8]

template<typename T>

T wykobi::chebyshev_distance ( const point2d< T > & point1, const point2d< T > & point2 )

inline

chebyshev_distance() [3/8]

template<typename T>

T wykobi::chebyshev_distance ( const point3d< T > & point1, const point3d< T > & point2 )

inline

chebyshev_distance() [4/8]

template<typename T, std::size_t D>

T wykobi::chebyshev_distance ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

chebyshev_distance() [5/8]

template<typename T>

T wykobi::chebyshev_distance ( const segment< T, 2 > & segment )

inline

chebyshev_distance() [6/8]

template<typename T>

T wykobi::chebyshev_distance ( const segment< T, 3 > & segment )

inline

chebyshev_distance() [7/8]

template<typename T>

T wykobi::chebyshev_distance ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

chebyshev_distance() [8/8]

template<typename T>

T wykobi::chebyshev_distance ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

circle_in_circle()

template<typename T>

bool wykobi::circle_in_circle ( const circle< T > & circle1, const circle< T > & circle2 )

inline

circle_internal_tangent_lines()

template<typename T>

void wykobi::circle_internal_tangent_lines ( const circle< T > & circle0, const circle< T > & circle1, std::vector< line< T, 2 > > & lines )

inline

circle_internal_tangent_segments()

template<typename T>

void wykobi::circle_internal_tangent_segments ( const circle< T > & circle0, const circle< T > & circle1, std::vector< segment< T, 2 > > & segments )

inline

circle_outer_tangent_lines()

template<typename T>

void wykobi::circle_outer_tangent_lines ( const circle< T > & circle0, const circle< T > & circle1, std::vector< line< T, 2 > > & lines )

inline

circle_outer_tangent_segments()

template<typename T>

void wykobi::circle_outer_tangent_segments ( const circle< T > & circle0, const circle< T > & circle1, std::vector< segment< T, 2 > > & segments )

inline

circle_tangent_points()

template<typename T>

void wykobi::circle_tangent_points ( const circle< T > & circle, const point2d< T > & point, point2d< T > & point1, point2d< T > & point2 )

inline

circle_within_rectangle() [1/2]

template<typename T>

bool wykobi::circle_within_rectangle ( const circle< T > & circle, const rectangle< T > & rectangle )

inline

circle_within_rectangle() [2/2]

template<typename T>

bool wykobi::circle_within_rectangle ( const T & x, const T & y, const T & radius, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

circumcenter() [1/6]

template<typename T>

point2d< T > wykobi::circumcenter ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

circumcenter() [2/6]

template<typename T>

point3d< T > wykobi::circumcenter ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

circumcenter() [3/6]

template<typename T>

void wykobi::circumcenter ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, T & px, T & py )

inline

circumcenter() [4/6]

template<typename T>

void wykobi::circumcenter ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, T & px, T & py, T & pz )

inline

circumcenter() [5/6]

template<typename T>

point2d< T > wykobi::circumcenter ( const triangle< T, 2 > & triangle )

inline

circumcenter() [6/6]

template<typename T>

point3d< T > wykobi::circumcenter ( const triangle< T, 3 > & triangle )

inline

circumcircle() [1/3]

template<typename T>

circle< T > wykobi::circumcircle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

circumcircle() [2/3]

template<typename T>

circle< T > wykobi::circumcircle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

circumcircle() [3/3]

template<typename T>

circle< T > wykobi::circumcircle ( const triangle< T, 2 > & triangle )

inline

circumsphere() [1/3]

template<typename T>

sphere< T > wykobi::circumsphere ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

circumsphere() [2/3]

template<typename T>

sphere< T > wykobi::circumsphere ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

circumsphere() [3/3]

template<typename T>

sphere< T > wykobi::circumsphere ( const triangle< T, 3 > & triangle )

inline

clamp()

template<typename T>

T wykobi::clamp ( const T & value, const T & low, const T & high )

inline

clip() [1/8]

template<typename T>

bool wykobi::clip ( const box< T, 3 > & box1, const box< T, 3 > & box2, box< T, 3 > & cbox )

inline

clip() [2/8]

template<typename T>

bool wykobi::clip ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2, rectangle< T > & crectangle )

inline

clip() [3/8]

template<typename T>

bool wykobi::clip ( const segment< T, 2 > & src_segment, const circle< T > & circle, segment< T, 2 > & csegment )

inline

clip() [4/8]

template<typename T>

bool wykobi::clip ( const segment< T, 2 > & src_segment, const quadix< T, 2 > & quadix, segment< T, 2 > & csegment )

inline

clip() [5/8]

template<typename T>

bool wykobi::clip ( const segment< T, 2 > & src_segment, const rectangle< T > & rectangle, segment< T, 2 > & csegment )

inline

clip() [6/8]

template<typename T>

bool wykobi::clip ( const segment< T, 2 > & src_segment, const triangle< T, 2 > & triangle, segment< T, 2 > & csegment )

inline

clip() [7/8]

template<typename T>

bool wykobi::clip ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, T & cx1, T & cy1, T & cx2, T & cy2 )

inline

clip() [8/8]

template<typename T>

bool wykobi::clip ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, T & cx1, T & cy1, T & cz1, T & cx2, T & cy2, T & cz2 )

inline

closest_point_on_aabbb_from_point()

template<typename T>

point2d< T > wykobi::closest_point_on_aabbb_from_point ( const rectangle< T > & rectangle, const point2d< T > & point )

inline

closest_point_on_bezier_from_point() [1/4]

template<typename T>

point2d< T > wykobi::closest_point_on_bezier_from_point ( const cubic_bezier< T, 2 > & bezier, const point2d< T > & point, const std::size_t & steps = 1000 )

inline

closest_point_on_bezier_from_point() [2/4]

template<typename T>

point3d< T > wykobi::closest_point_on_bezier_from_point ( const cubic_bezier< T, 3 > & bezier, const point3d< T > & point, const std::size_t & steps = 1000 )

inline

closest_point_on_bezier_from_point() [3/4]

template<typename T>

point2d< T > wykobi::closest_point_on_bezier_from_point ( const quadratic_bezier< T, 2 > & bezier, const point2d< T > & point, const std::size_t & steps = 1000 )

inline

closest_point_on_bezier_from_point() [4/4]

template<typename T>

point3d< T > wykobi::closest_point_on_bezier_from_point ( const quadratic_bezier< T, 3 > & bezier, const point3d< T > & point, const std::size_t & steps = 1000 )

inline

closest_point_on_box_from_point() [1/5]

template<typename T>

point3d< T > wykobi::closest_point_on_box_from_point ( const box< T, 3 > & box, const point3d< T > & point )

inline

closest_point_on_box_from_point() [2/5]

template<typename T>

point3d< T > wykobi::closest_point_on_box_from_point ( const box< T, 3 > & box, const T & px, const T & py, const T & pz )

inline

closest_point_on_box_from_point() [3/5]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::closest_point_on_box_from_point ( const box< T, D > & box, const pointnd< T, D > & point )

inline

closest_point_on_box_from_point() [4/5]

template<typename T>

point3d< T > wykobi::closest_point_on_box_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz )

inline

closest_point_on_box_from_point() [5/5]

template<typename T>

void wykobi::closest_point_on_box_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

closest_point_on_circle_from_circle()

template<typename T>

point2d< T > wykobi::closest_point_on_circle_from_circle ( const circle< T > & circle1, const circle< T > & circle2 )

inline

closest_point_on_circle_from_point()

template<typename T>

point2d< T > wykobi::closest_point_on_circle_from_point ( const circle< T > & circle, const point2d< T > & point )

inline

closest_point_on_circle_from_segment()

template<typename T>

point2d< T > wykobi::closest_point_on_circle_from_segment ( const circle< T > & circle, const segment< T, 2 > & segment )

inline

closest_point_on_line_from_point() [1/7]

template<typename T>

point2d< T > wykobi::closest_point_on_line_from_point ( const line< T, 2 > & line, const point2d< T > & point )

inline

closest_point_on_line_from_point() [2/7]

template<typename T>

point3d< T > wykobi::closest_point_on_line_from_point ( const line< T, 3 > & line, const point3d< T > & point )

inline

closest_point_on_line_from_point() [3/7]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::closest_point_on_line_from_point ( const line< T, D > & segment, const pointnd< T, D > & point )

inline

closest_point_on_line_from_point() [4/7]

template<typename T>

point2d< T > wykobi::closest_point_on_line_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

closest_point_on_line_from_point() [5/7]

template<typename T>

void wykobi::closest_point_on_line_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_line_from_point() [6/7]

template<typename T>

point3d< T > wykobi::closest_point_on_line_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz )

inline

closest_point_on_line_from_point() [7/7]

template<typename T>

void wykobi::closest_point_on_line_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

closest_point_on_plane_from_point() [1/2]

template<typename T>

point3d< T > wykobi::closest_point_on_plane_from_point ( const plane< T, 3 > & plane, const point3d< T > & point )

inline

closest_point_on_plane_from_point() [2/2]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::closest_point_on_plane_from_point ( const plane< T, D > & plane, const pointnd< T, D > & point )

inline

closest_point_on_polygon_from_point()

template<typename T>

point2d< T > wykobi::closest_point_on_polygon_from_point ( const polygon< T, 2 > & polygon, const point2d< T > & point )

inline

closest_point_on_quadix_from_point() [1/3]

template<typename T>

point2d< T > wykobi::closest_point_on_quadix_from_point ( const quadix< T, 2 > & quadix, const point2d< T > & point )

inline

closest_point_on_quadix_from_point() [2/3]

template<typename T>

point2d< T > wykobi::closest_point_on_quadix_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & px, const T & py )

inline

closest_point_on_quadix_from_point() [3/3]

template<typename T>

void wykobi::closest_point_on_quadix_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_ray_from_point() [1/6]

template<typename T>

point2d< T > wykobi::closest_point_on_ray_from_point ( const ray< T, 2 > & ray, const point2d< T > & point )

inline

closest_point_on_ray_from_point() [2/6]

template<typename T>

point3d< T > wykobi::closest_point_on_ray_from_point ( const ray< T, 3 > & ray, const point3d< T > & point )

inline

closest_point_on_ray_from_point() [3/6]

template<typename T>

point2d< T > wykobi::closest_point_on_ray_from_point ( const T & ox, const T & oy, const T & dx, const T & dy, const T & px, const T & py )

inline

closest_point_on_ray_from_point() [4/6]

template<typename T>

void wykobi::closest_point_on_ray_from_point ( const T & ox, const T & oy, const T & dx, const T & dy, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_ray_from_point() [5/6]

template<typename T>

point3d< T > wykobi::closest_point_on_ray_from_point ( const T & ox, const T & oy, const T & oz, const T & dx, const T & dy, const T & dz, const T & px, const T & py, const T & pz )

inline

closest_point_on_ray_from_point() [6/6]

template<typename T>

void wykobi::closest_point_on_ray_from_point ( const T & ox, const T & oy, const T & oz, const T & dx, const T & dy, const T & dz, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

closest_point_on_rectangle_from_point() [1/4]

template<typename T>

point2d< T > wykobi::closest_point_on_rectangle_from_point ( const rectangle< T > & rectangle, const point2d< T > & point )

inline

closest_point_on_rectangle_from_point() [2/4]

template<typename T>

point2d< T > wykobi::closest_point_on_rectangle_from_point ( const rectangle< T > & rectangle, const T & px, const T & py )

inline

closest_point_on_rectangle_from_point() [3/4]

template<typename T>

point2d< T > wykobi::closest_point_on_rectangle_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

closest_point_on_rectangle_from_point() [4/4]

template<typename T>

void wykobi::closest_point_on_rectangle_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_segment_from_point() [1/7]

template<typename T>

point2d< T > wykobi::closest_point_on_segment_from_point ( const segment< T, 2 > & segment, const point2d< T > & point )

inline

closest_point_on_segment_from_point() [2/7]

template<typename T>

point3d< T > wykobi::closest_point_on_segment_from_point ( const segment< T, 3 > & segment, const point3d< T > & point )

inline

closest_point_on_segment_from_point() [3/7]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::closest_point_on_segment_from_point ( const segment< T, D > & segment, const pointnd< T, D > & point )

inline

closest_point_on_segment_from_point() [4/7]

template<typename T>

point2d< T > wykobi::closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

closest_point_on_segment_from_point() [5/7]

template<typename T>

void wykobi::closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_segment_from_point() [6/7]

template<typename T>

point3d< T > wykobi::closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz )

inline

closest_point_on_segment_from_point() [7/7]

template<typename T>

void wykobi::closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

closest_point_on_sphere_from_point() [1/2]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::closest_point_on_sphere_from_point ( const hypersphere< T, D > & sphere, const pointnd< T, D > & point )

inline

closest_point_on_sphere_from_point() [2/2]

template<typename T>

point3d< T > wykobi::closest_point_on_sphere_from_point ( const sphere< T > & sphere, const point3d< T > & point )

inline

closest_point_on_sphere_from_segment()

template<typename T>

point3d< T > wykobi::closest_point_on_sphere_from_segment ( const sphere< T > & sphere, const segment< T, 3 > & segment )

inline

closest_point_on_sphere_from_sphere()

template<typename T>

point3d< T > wykobi::closest_point_on_sphere_from_sphere ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

closest_point_on_triangle_from_point() [1/8]

template<typename T>

point2d< T > wykobi::closest_point_on_triangle_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & px, const T & py )

inline

closest_point_on_triangle_from_point() [2/8]

template<typename T>

void wykobi::closest_point_on_triangle_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & px, const T & py, T & nx, T & ny )

inline

closest_point_on_triangle_from_point() [3/8]

template<typename T>

point3d< T > wykobi::closest_point_on_triangle_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & px, const T & py, const T & pz )

inline

closest_point_on_triangle_from_point() [4/8]

template<typename T>

void wykobi::closest_point_on_triangle_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

closest_point_on_triangle_from_point() [5/8]

template<typename T>

point2d< T > wykobi::closest_point_on_triangle_from_point ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

closest_point_on_triangle_from_point() [6/8]

template<typename T>

point2d< T > wykobi::closest_point_on_triangle_from_point ( const triangle< T, 2 > & triangle, const T & px, const T & py )

inline

closest_point_on_triangle_from_point() [7/8]

template<typename T>

point3d< T > wykobi::closest_point_on_triangle_from_point ( const triangle< T, 3 > & triangle, const point3d< T > & point )

inline

closest_point_on_triangle_from_point() [8/8]

template<typename T>

point3d< T > wykobi::closest_point_on_triangle_from_point ( const triangle< T, 3 > & triangle, const T & px, const T & py, const T & pz )

inline

cocircular() [1/4]

template<typename T>

bool wykobi::cocircular ( const circle< T > & circle, const point2d< T > & point, const T & epsilon = T(Epsilon) )

inline

cocircular() [2/4]

template<typename T>

bool wykobi::cocircular ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, const T & epsilon = T(Epsilon) )

inline

cocircular() [3/4]

template<typename T>

bool wykobi::cocircular ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & epsilon = T(Epsilon) )

inline

cocircular() [4/4]

template<typename T>

bool wykobi::cocircular ( const triangle< T, 2 > & triangle, const point2d< T > & point, const T & epsilon = T(Epsilon) )

inline

collinear() [1/5]

template<typename T>

bool wykobi::collinear ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

collinear() [2/5]

template<typename T>

bool wykobi::collinear ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

collinear() [3/5]

template<typename T, std::size_t D>

bool wykobi::collinear ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const pointnd< T, D > & point3 )

inline

collinear() [4/5]

template<typename T>

bool wykobi::collinear ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & epsilon = T(Epsilon) )

inline

collinear() [5/5]

template<typename T>

bool wykobi::collinear ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & epsilon = T(Epsilon) )

inline

collinear_vertex()

template<typename T>

bool wykobi::collinear_vertex ( const std::size_t & index, const polygon< T, 2 > & polygon )

inline

common_center() [1/2]

template<typename T>

bool wykobi::common_center ( const circle< T > & circle1, const circle< T > & circle2 )

inline

common_center() [2/2]

template<typename T>

bool wykobi::common_center ( const sphere< T > & sphere1, const sphere< T > & circle2 )

inline

confined_triangle_median() [1/2]

template<typename T>

line< T, 2 > wykobi::confined_triangle_median ( const triangle< T, 2 > & triangle, const point2d< T > & point, const std::size_t & median )

inline

confined_triangle_median() [2/2]

template<typename T>

line< T, 3 > wykobi::confined_triangle_median ( const triangle< T, 3 > & triangle, const point3d< T > & point, const std::size_t & median )

inline

convex_quadix() [1/2]

template<typename T>

bool wykobi::convex_quadix ( const quadix< T, 2 > & quadix )

inline

convex_quadix() [2/2]

template<typename T>

bool wykobi::convex_quadix ( const quadix< T, 3 > & quadix )

inline

convex_vertex()

template<typename T>

bool wykobi::convex_vertex ( const std::size_t & index, const polygon< T, 2 > & polygon, const int & polygon_orientation = LeftHandSide )

inline

coplanar() [1/5]

template<typename T>

bool wykobi::coplanar ( const line< T, 3 > & line1, const line< T, 3 > & line2 )

inline

coplanar() [2/5]

template<typename T>

bool wykobi::coplanar ( const quadix< T, 3 > & quadix1, const quadix< T, 3 > & quadix2 )

inline

coplanar() [3/5]

template<typename T>

bool wykobi::coplanar ( const ray< T, 3 > & ray1, const ray< T, 3 > & ray2 )

inline

coplanar() [4/5]

template<typename T>

bool wykobi::coplanar ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2 )

inline

coplanar() [5/5]

template<typename T>

bool wykobi::coplanar ( const triangle< T, 3 > & triangle1, const triangle< T, 3 > & triangle2 )

inline

cos()

template<typename T>

T wykobi::cos ( const T & value )

inline

create_anticevian_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_anticevian_triangle ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

create_anticevian_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_anticevian_triangle ( const triangle< T, 3 > & triangle, const point3d< T > & point )

inline

create_anticomplementary_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_anticomplementary_triangle ( const triangle< T, 2 > & triangle )

inline

create_anticomplementary_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_anticomplementary_triangle ( const triangle< T, 3 > & triangle )

inline

create_antipedal_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_antipedal_triangle ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

create_cevian_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_cevian_triangle ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

create_cevian_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_cevian_triangle ( const triangle< T, 3 > & triangle, const point3d< T > & point )

inline

create_circumcevian_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_circumcevian_triangle ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

create_circummedial_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_circummedial_triangle ( const triangle< T, 2 > & triangle )

inline

create_contact_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_contact_triangle ( const triangle< T, 2 > & triangle )

inline

create_contact_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_contact_triangle ( const triangle< T, 3 > & triangle )

inline

create_equilateral_quadix() [1/7]

template<typename T>

quadix< T, 2 > wykobi::create_equilateral_quadix ( const point2d< T > & center_point, const T & side_length )

inline

create_equilateral_quadix() [2/7]

template<typename T>

quadix< T, 2 > wykobi::create_equilateral_quadix ( const point2d< T > & point1, const point2d< T > & point2 )

inline

create_equilateral_quadix() [3/7]

template<typename T>

void wykobi::create_equilateral_quadix ( const point2d< T > & point1, const point2d< T > & point2, point2d< T > & point3, point2d< T > & point4 )

inline

create_equilateral_quadix() [4/7]

template<typename T>

quadix< T, 2 > wykobi::create_equilateral_quadix ( const segment< T, 2 > & segment )

inline

create_equilateral_quadix() [5/7]

template<typename T>

quadix< T, 2 > wykobi::create_equilateral_quadix ( const T & cx, const T & cy, const T & side_length )

inline

create_equilateral_quadix() [6/7]

template<typename T>

quadix< T, 2 > wykobi::create_equilateral_quadix ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

create_equilateral_quadix() [7/7]

template<typename T>

void wykobi::create_equilateral_quadix ( const T & x1, const T & y1, const T & x2, const T & y2, T & x3, T & y3, T & x4, T & y4 )

inline

create_equilateral_triangle() [1/6]

template<typename T>

triangle< T, 2 > wykobi::create_equilateral_triangle ( const point2d< T > & center_point, const T & side_length )

inline

create_equilateral_triangle() [2/6]

template<typename T>

triangle< T, 2 > wykobi::create_equilateral_triangle ( const point2d< T > & point1, const point2d< T > & point2 )

inline

create_equilateral_triangle() [3/6]

template<typename T>

void wykobi::create_equilateral_triangle ( const point2d< T > & point1, const point2d< T > & point2, point2d< T > & point3 )

inline

create_equilateral_triangle() [4/6]

template<typename T>

triangle< T, 2 > wykobi::create_equilateral_triangle ( const T & cx, const T & cy, const T & side_length )

inline

create_equilateral_triangle() [5/6]

template<typename T>

triangle< T, 2 > wykobi::create_equilateral_triangle ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

create_equilateral_triangle() [6/6]

template<typename T>

void wykobi::create_equilateral_triangle ( const T & x1, const T & y1, const T & x2, const T & y2, T & x3, T & y3 )

inline

create_excentral_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_excentral_triangle ( const triangle< T, 2 > & triangle )

inline

create_excentral_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_excentral_triangle ( const triangle< T, 3 > & triangle )

inline

create_extouch_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_extouch_triangle ( const triangle< T, 2 > & triangle )

inline

create_extouch_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_extouch_triangle ( const triangle< T, 3 > & triangle )

inline

create_feuerbach_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_feuerbach_triangle ( const triangle< T, 2 > & triangle )

inline

create_first_brocard_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_first_brocard_triangle ( const triangle< T, 2 > & triangle )

inline

create_incentral_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_incentral_triangle ( const triangle< T, 2 > & triangle )

inline

create_incentral_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_incentral_triangle ( const triangle< T, 3 > & triangle )

inline

create_inner_napoleon_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_inner_napoleon_triangle ( const triangle< T, 2 > & triangle )

inline

create_inner_vecten_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_inner_vecten_triangle ( const triangle< T, 2 > & triangle )

inline

create_intouch_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_intouch_triangle ( const triangle< T, 2 > & triangle )

inline

create_isosceles_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_isosceles_triangle ( const point2d< T > & point1, const point2d< T > & point2, const T & angle )

inline

create_isosceles_triangle() [2/2]

template<typename T>

triangle< T, 2 > wykobi::create_isosceles_triangle ( const segment< T, 2 > & segment, const T & angle )

inline

create_line_from_bisector() [1/4]

template<typename T>

line< T, 2 > wykobi::create_line_from_bisector ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

create_line_from_bisector() [2/4]

template<typename T>

line< T, 3 > wykobi::create_line_from_bisector ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

create_line_from_bisector() [3/4]

template<typename T>

line< T, 2 > wykobi::create_line_from_bisector ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

create_line_from_bisector() [4/4]

template<typename T>

line< T, 3 > wykobi::create_line_from_bisector ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

create_medial_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_medial_triangle ( const triangle< T, 2 > & triangle )

inline

create_medial_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_medial_triangle ( const triangle< T, 3 > & triangle )

inline

create_morley_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_morley_triangle ( const triangle< T, 2 > & triangle )

inline

create_orthic_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_orthic_triangle ( const triangle< T, 2 > & triangle )

inline

create_orthic_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_orthic_triangle ( const triangle< T, 3 > & triangle )

inline

create_outer_napoleon_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_outer_napoleon_triangle ( const triangle< T, 2 > & triangle )

inline

create_outer_vecten_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_outer_vecten_triangle ( const triangle< T, 2 > & triangle )

inline

create_parallel_line_on_point() [1/2]

template<typename T>

line< T, 2 > wykobi::create_parallel_line_on_point ( const line< T, 2 > & line, const point2d< T > & point )

inline

create_parallel_line_on_point() [2/2]

template<typename T>

line< T, 3 > wykobi::create_parallel_line_on_point ( const line< T, 3 > & line, const point3d< T > & point )

inline

create_parallel_segment_on_point() [1/2]

template<typename T>

segment< T, 2 > wykobi::create_parallel_segment_on_point ( const line< T, 2 > & line, const point2d< T > & point )

inline

create_parallel_segment_on_point() [2/2]

template<typename T>

segment< T, 3 > wykobi::create_parallel_segment_on_point ( const line< T, 3 > & line, const point3d< T > & point )

inline

create_pedal_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_pedal_triangle ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

create_pedal_triangle() [2/2]

template<typename T>

triangle< T, 3 > wykobi::create_pedal_triangle ( const point3d< T > & point, const triangle< T, 3 > & triangle )

inline

create_perpendicular_bisector() [1/3]

template<typename T>

line< T, 2 > wykobi::create_perpendicular_bisector ( const point2d< T > & point1, const point2d< T > & point2 )

inline

create_perpendicular_bisector() [2/3]

template<typename T>

line< T, 2 > wykobi::create_perpendicular_bisector ( const segment< T, 2 > & segment )

inline

create_perpendicular_bisector() [3/3]

template<typename T>

line< T, 2 > wykobi::create_perpendicular_bisector ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

create_perpendicular_line_at_end_point()

template<typename T>

line< T, 2 > wykobi::create_perpendicular_line_at_end_point ( const line< T, 2 > & line )

inline

create_point_on_bezier() [1/8]

template<typename T>

point2d< T > wykobi::create_point_on_bezier ( const point2d< T > & start_point, const bezier_coefficients< T, 2, eCubicBezier > & coeffs, const T & t )

inline

create_point_on_bezier() [2/8]

template<typename T>

point2d< T > wykobi::create_point_on_bezier ( const point2d< T > & start_point, const bezier_coefficients< T, 2, eQuadraticBezier > & coeffs, const T & t )

inline

create_point_on_bezier() [3/8]

template<typename T>

point2d< T > wykobi::create_point_on_bezier ( const point2d< T > & start_point, const T & ax, const T & bx, const T & ay, const T & by, const T & t )

inline

create_point_on_bezier() [4/8]

template<typename T>

point2d< T > wykobi::create_point_on_bezier ( const point2d< T > & start_point, const T & ax, const T & bx, const T & cx, const T & ay, const T & by, const T & cy, const T & t )

inline

create_point_on_bezier() [5/8]

template<typename T>

point3d< T > wykobi::create_point_on_bezier ( const point3d< T > & start_point, const bezier_coefficients< T, 3, eCubicBezier > & coeffs, const T & t )

inline

create_point_on_bezier() [6/8]

template<typename T>

point3d< T > wykobi::create_point_on_bezier ( const point3d< T > & start_point, const bezier_coefficients< T, 3, eQuadraticBezier > & coeffs, const T & t )

inline

create_point_on_bezier() [7/8]

template<typename T>

point3d< T > wykobi::create_point_on_bezier ( const point3d< T > & start_point, const T & ax, const T & bx, const T & ay, const T & by, const T & az, const T & bz, const T & t )

inline

create_point_on_bezier() [8/8]

template<typename T>

point3d< T > wykobi::create_point_on_bezier ( const point3d< T > & start_point, const T & ax, const T & bx, const T & cx, const T & ay, const T & by, const T & cy, const T & az, const T & bz, const T & cz, const T & t )

inline

create_ray_from_bisector() [1/4]

template<typename T>

ray< T, 2 > wykobi::create_ray_from_bisector ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

create_ray_from_bisector() [2/4]

template<typename T>

ray< T, 3 > wykobi::create_ray_from_bisector ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

create_ray_from_bisector() [3/4]

template<typename T>

ray< T, 2 > wykobi::create_ray_from_bisector ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

create_ray_from_bisector() [4/4]

template<typename T>

ray< T, 3 > wykobi::create_ray_from_bisector ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

create_right_triangle()

template<typename T>

void wykobi::create_right_triangle ( const wykobi::point2d< T > & p1, const wykobi::point2d< T > & p2, wykobi::point2d< T > & c1, wykobi::point2d< T > & c2 )

inline

create_segment_from_bisector() [1/4]

template<typename T>

segment< T, 2 > wykobi::create_segment_from_bisector ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

create_segment_from_bisector() [2/4]

template<typename T>

segment< T, 3 > wykobi::create_segment_from_bisector ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

create_segment_from_bisector() [3/4]

template<typename T>

segment< T, 2 > wykobi::create_segment_from_bisector ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

create_segment_from_bisector() [4/4]

template<typename T>

segment< T, 3 > wykobi::create_segment_from_bisector ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

create_symmedial_triangle()

template<typename T>

triangle< T, 2 > wykobi::create_symmedial_triangle ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

create_triangle() [1/2]

template<typename T>

triangle< T, 2 > wykobi::create_triangle ( const point2d< T > & point1, const point2d< T > & point2, const T & angle1, const T & angle2 )

inline

create_triangle() [2/2]

template<typename T>

triangle< T, 2 > wykobi::create_triangle ( const segment< T, 2 > & segment, const T & angle1, const T & angle2 )

inline

cyclocevian_conjugate()

template<typename T>

point2d< T > wykobi::cyclocevian_conjugate ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

degenerate_box()

template<typename T, std::size_t D>

box< T, D > wykobi::degenerate_box ( )

inline

degenerate_circle()

template<typename T>

circle< T > wykobi::degenerate_circle ( )

inline

degenerate_hypersphere()

template<typename T, std::size_t D>

hypersphere< T, D > wykobi::degenerate_hypersphere ( )

inline

degenerate_line2d()

template<typename T>

line< T, 2 > wykobi::degenerate_line2d ( )

inline

degenerate_line3d()

template<typename T>

line< T, 3 > wykobi::degenerate_line3d ( )

inline

degenerate_linend()

template<typename T, std::size_t D>

line< T, D > wykobi::degenerate_linend ( )

inline

degenerate_point2d()

template<typename T>

point2d< T > wykobi::degenerate_point2d ( )

inline

degenerate_point3d()

template<typename T>

point3d< T > wykobi::degenerate_point3d ( )

inline

degenerate_pointnd()

template<typename T, std::size_t D>

pointnd< T, D > wykobi::degenerate_pointnd ( )

inline

degenerate_quadix2d()

template<typename T>

quadix< T, 2 > wykobi::degenerate_quadix2d ( )

inline

degenerate_quadix3d()

template<typename T>

quadix< T, 3 > wykobi::degenerate_quadix3d ( )

inline

degenerate_quadixnd()

template<typename T, std::size_t D>

quadix< T, D > wykobi::degenerate_quadixnd ( )

inline

degenerate_ray2d()

template<typename T>

ray< T, 2 > wykobi::degenerate_ray2d ( )

inline

degenerate_ray3d()

template<typename T>

ray< T, 3 > wykobi::degenerate_ray3d ( )

inline

degenerate_raynd()

template<typename T, std::size_t D>

ray< T, D > wykobi::degenerate_raynd ( )

inline

degenerate_rectangle()

template<typename T>

rectangle< T > wykobi::degenerate_rectangle ( )

inline

degenerate_segment2d()

template<typename T>

segment< T, 2 > wykobi::degenerate_segment2d ( )

inline

degenerate_segment3d()

template<typename T>

segment< T, 3 > wykobi::degenerate_segment3d ( )

inline

degenerate_segmentnd()

template<typename T, std::size_t D>

segment< T, D > wykobi::degenerate_segmentnd ( )

inline

degenerate_sphere()

template<typename T>

sphere< T > wykobi::degenerate_sphere ( )

inline

degenerate_triangle2d()

template<typename T>

triangle< T, 2 > wykobi::degenerate_triangle2d ( )

inline

degenerate_triangle3d()

template<typename T>

triangle< T, 3 > wykobi::degenerate_triangle3d ( )

inline

degenerate_trianglend()

template<typename T, std::size_t D>

triangle< T, D > wykobi::degenerate_trianglend ( )

inline

degenerate_vector2d()

template<typename T>

vector2d< T > wykobi::degenerate_vector2d ( )

inline

degenerate_vector3d()

template<typename T>

vector3d< T > wykobi::degenerate_vector3d ( )

inline

degenerate_vectornd()

template<typename T, std::size_t D>

vectornd< T, D > wykobi::degenerate_vectornd ( )

inline

det() [1/4]

template<typename T>

T wykobi::det ( const matrix< T, 1, 1 > & matrix )

inline

det() [2/4]

template<typename T>

T wykobi::det ( const matrix< T, 2, 2 > & matrix )

inline

det() [3/4]

template<typename T>

T wykobi::det ( const matrix< T, 3, 3 > & matrix )

inline

det() [4/4]

template<typename T>

T wykobi::det ( const matrix< T, 4, 4 > & matrix )

inline

differing_orientation() [1/2]

template<typename T>

bool wykobi::differing_orientation ( const point2d< T > & p1, const point2d< T > & p2, const point2d< T > & q1, const point2d< T > & q2 )

inline

differing_orientation() [2/2]

template<typename T>

bool wykobi::differing_orientation ( const T & x1, const T & y1, const T & x2, const T & y2, const T & p1x, const T & p1y, const T & p2x, const T & p2y )

inline

distance() [1/37]

template<typename T>

T wykobi::distance ( const circle< T > & circle1, const circle< T > & circle2 )

inline

distance() [2/37]

template<typename T>

T wykobi::distance ( const curve_point< T, 2 > & point1, const curve_point< T, 2 > & point2 )

inline

distance() [3/37]

template<typename T>

T wykobi::distance ( const curve_point< T, 3 > & point1, const curve_point< T, 3 > & point2 )

inline

distance() [4/37]

template<typename T>

T wykobi::distance ( const line< T, 2 > & line1, const line< T, 2 > & line2 )

inline

distance() [5/37]

template<typename T>

T wykobi::distance ( const line< T, 3 > & line1, const line< T, 3 > & line2 )

inline

distance() [6/37]

template<typename T, std::size_t D>

T wykobi::distance ( const line< T, D > & line1, const line< T, D > & line2 )

inline

distance() [7/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const circle< T > & circle )

inline

distance() [8/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const quadix< T, 2 > & quadix )

inline

distance() [9/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const ray< T, 2 > & ray )

inline

distance() [10/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const rectangle< T > & rectangle )

inline

distance() [11/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const segment< T, 2 > & segment )

inline

distance() [12/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

distance() [13/37]

template<typename T>

T wykobi::distance ( const point2d< T > & point1, const point2d< T > & point2 )

inline

distance() [14/37]

template<typename T>

T wykobi::distance ( const point3d< T > & point, const plane< T, 3 > & plane )

inline

distance() [15/37]

template<typename T>

T wykobi::distance ( const point3d< T > & point, const ray< T, 3 > & ray )

inline

distance() [16/37]

template<typename T>

T wykobi::distance ( const point3d< T > & point, const segment< T, 3 > & segment )

inline

distance() [17/37]

template<typename T>

T wykobi::distance ( const point3d< T > & point1, const point3d< T > & point2 )

inline

distance() [18/37]

template<typename T, std::size_t D>

T wykobi::distance ( const pointnd< T, D > & point, const line< T, D > & line )

inline

distance() [19/37]

template<typename T, std::size_t D>

T wykobi::distance ( const pointnd< T, D > & point, const segment< T, D > & segment )

inline

distance() [20/37]

template<typename T, std::size_t D>

T wykobi::distance ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

distance() [21/37]

template<typename T>

T wykobi::distance ( const rectangle< T > & rectangle, const circle< T > & circle )

inline

distance() [22/37]

template<typename T>

T wykobi::distance ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

distance() [23/37]

template<typename T>

T wykobi::distance ( const segment< T, 2 > & segment )

inline

distance() [24/37]

template<typename T>

T wykobi::distance ( const segment< T, 2 > & segment, const circle< T > & circle )

inline

distance() [25/37]

template<typename T>

T wykobi::distance ( const segment< T, 2 > & segment, const rectangle< T > & rectangle )

inline

distance() [26/37]

template<typename T>

T wykobi::distance ( const segment< T, 2 > & segment, const triangle< T, 2 > & triangle )

inline

distance() [27/37]

template<typename T>

T wykobi::distance ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

distance() [28/37]

template<typename T>

T wykobi::distance ( const segment< T, 3 > & segment )

inline

distance() [29/37]

template<typename T>

T wykobi::distance ( const segment< T, 3 > & segment, const triangle< T, 3 > & triangle )

inline

distance() [30/37]

template<typename T>

T wykobi::distance ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2 )

inline

distance() [31/37]

template<typename T, std::size_t D>

T wykobi::distance ( const segment< T, D > & segment1, const segment< T, D > & segment2 )

inline

distance() [32/37]

template<typename T>

T wykobi::distance ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

distance() [33/37]

template<typename T>

T wykobi::distance ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

distance() [34/37]

template<typename T>

T wykobi::distance ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

distance() [35/37]

template<typename T>

T wykobi::distance ( const triangle< T, 2 > & triangle, const circle< T > & circle )

inline

distance() [36/37]

template<typename T>

T wykobi::distance ( const triangle< T, 2 > & triangle, const rectangle< T > & rectangle )

inline

distance() [37/37]

template<typename T>

T wykobi::distance ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

distance_from_point_to_circle_center()

template<typename T>

T wykobi::distance_from_point_to_circle_center ( const point2d< T > & point, const circle< T > & circle )

inline

distance_from_point_to_sphere_center()

template<typename T>

T wykobi::distance_from_point_to_sphere_center ( const point3d< T > & point, const sphere< T > & sphere )

inline

distance_line_to_line() [1/2]

template<typename T>

T wykobi::distance_line_to_line ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

distance_line_to_line() [2/2]

template<typename T>

T wykobi::distance_line_to_line ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

distance_segment_to_segment() [1/2]

template<typename T>

T wykobi::distance_segment_to_segment ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

distance_segment_to_segment() [2/2]

template<typename T>

T wykobi::distance_segment_to_segment ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

dot_product() [1/3]

template<typename T>

T wykobi::dot_product ( const vector2d< T > & v1, const vector2d< T > & v2 )

inline

dot_product() [2/3]

template<typename T>

T wykobi::dot_product ( const vector3d< T > & v1, const vector3d< T > & v2 )

inline

dot_product() [3/3]

template<typename T, std::size_t D>

T wykobi::dot_product ( const vectornd< T, D > & v1, const vectornd< T, D > & v2 )

inline

edge() [1/7]

template<typename T>

segment< T, 2 > wykobi::edge ( const polygon< T, 2 > & polygon, const std::size_t & edge )

inline

edge() [2/7]

template<typename T>

segment< T, 3 > wykobi::edge ( const polygon< T, 3 > & polygon, const std::size_t & edge )

inline

edge() [3/7]

template<typename T>

segment< T, 2 > wykobi::edge ( const quadix< T, 2 > & quadix, const std::size_t & edge_index )

inline

edge() [4/7]

template<typename T>

segment< T, 3 > wykobi::edge ( const quadix< T, 3 > & quadix, const std::size_t & edge_index )

inline

edge() [5/7]

template<typename T>

segment< T, 2 > wykobi::edge ( const rectangle< T > & rectangle, const std::size_t & edge )

inline

edge() [6/7]

template<typename T>

segment< T, 2 > wykobi::edge ( const triangle< T, 2 > & triangle, const std::size_t & edge_index )

inline

edge() [7/7]

template<typename T>

segment< T, 3 > wykobi::edge ( const triangle< T, 3 > & triangle, const std::size_t & edge_index )

inline

eigen_values()

template<typename T>

void wykobi::eigen_values ( const matrix< T, 2, 2 > & matrix, T & eigen_value1, T & eigen_value2 )

inline

eigenvector()

template<typename T>

void wykobi::eigenvector ( const matrix< T, 2, 2 > & matrix, vector2d< T > & eigenvector1, vector2d< T > & eigenvector2 )

inline

epsilon()

template<typename T>

T wykobi::epsilon

(

)

epsilon< double >()

template<>

double wykobi::epsilon< double > ( )

inline

epsilon< float >()

template<>

float wykobi::epsilon< float > ( )

inline

euler_line() [1/2]

template<typename T>

line< T, 2 > wykobi::euler_line ( const triangle< T, 2 > & triangle )

inline

euler_line() [2/2]

template<typename T>

line< T, 3 > wykobi::euler_line ( const triangle< T, 3 > & triangle )

inline

excenter() [1/2]

template<typename T>

point2d< T > wykobi::excenter ( const triangle< T, 2 > & triangle, const std::size_t & corner )

inline

excenter() [2/2]

template<typename T>

point3d< T > wykobi::excenter ( const triangle< T, 3 > & triangle, const std::size_t & corner )

inline

excircle()

template<typename T>

circle< T > wykobi::excircle ( const triangle< T, 2 > & triangle, const std::size_t & i )

inline

exmedian_point() [1/2]

template<typename T>

point2d< T > wykobi::exmedian_point ( const triangle< T, 2 > & triangle, const std::size_t & corner )

inline

exmedian_point() [2/2]

template<typename T>

point3d< T > wykobi::exmedian_point ( const triangle< T, 3 > & triangle, const std::size_t & corner )

inline

fast_rotate() [1/24]

template<typename T>

point2d< T > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const point2d< T > & point )

inline

fast_rotate() [2/24]

template<typename T>

point2d< T > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const point2d< T > & point, const point2d< T > & opoint )

inline

fast_rotate() [3/24]

template<typename T>

polygon< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const polygon< T, 2 > & polygon )

inline

fast_rotate() [4/24]

template<typename T>

polygon< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const polygon< T, 2 > & polygon, const point2d< T > & opoint )

inline

fast_rotate() [5/24]

template<typename T>

quadix< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const quadix< T, 2 > & quadix )

inline

fast_rotate() [6/24]

template<typename T>

quadix< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const quadix< T, 2 > & quadix, const point2d< T > & opoint )

inline

fast_rotate() [7/24]

template<typename T>

segment< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const segment< T, 2 > & segment )

inline

fast_rotate() [8/24]

template<typename T>

segment< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const segment< T, 2 > & segment, const point2d< T > & opoint )

inline

fast_rotate() [9/24]

template<typename T>

void wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const T & x, const T & y, const T & ox, const T & oy, T & nx, T & ny )

inline

fast_rotate() [10/24]

template<typename T>

void wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const T & x, const T & y, T & nx, T & ny )

inline

fast_rotate() [11/24]

template<typename T>

triangle< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const triangle< T, 2 > & triangle )

inline

fast_rotate() [12/24]

template<typename T>

triangle< T, 2 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rotation_angle, const triangle< T, 2 > & triangle, const point2d< T > & opoint )

inline

fast_rotate() [13/24]

template<typename T>

point3d< T > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const point3d< T > & point )

inline

fast_rotate() [14/24]

template<typename T>

point3d< T > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const point3d< T > & point, const point3d< T > & opoint )

inline

fast_rotate() [15/24]

template<typename T>

polygon< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const polygon< T, 3 > & polygon )

inline

fast_rotate() [16/24]

template<typename T>

polygon< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const polygon< T, 3 > & polygon, const point3d< T > & opoint )

inline

fast_rotate() [17/24]

template<typename T>

quadix< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const quadix< T, 3 > & quadix )

inline

fast_rotate() [18/24]

template<typename T>

quadix< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const quadix< T, 3 > & quadix, const point3d< T > & opoint )

inline

fast_rotate() [19/24]

template<typename T>

segment< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const segment< T, 3 > & segment )

inline

fast_rotate() [20/24]

template<typename T>

segment< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const segment< T, 3 > & segment, const point3d< T > & opoint )

inline

fast_rotate() [21/24]

template<typename T>

void wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const T & x, const T & y, const T & z, const T & ox, const T & oy, const T & oz, T & nx, T & ny, T & nz )

inline

fast_rotate() [22/24]

template<typename T>

void wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const T & x, const T & y, const T & z, T & nx, T & ny, T & nz )

inline

fast_rotate() [23/24]

template<typename T>

triangle< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const triangle< T, 3 > & triangle )

inline

fast_rotate() [24/24]

template<typename T>

triangle< T, 3 > wykobi::fast_rotate ( const trig_luts< T > & lut, const int rx, const int ry, const int rz, const triangle< T, 3 > & triangle, const point3d< T > & opoint )

inline

feuerbach_point()

template<typename T>

point2d< T > wykobi::feuerbach_point ( const triangle< T, 2 > & triangle )

inline

generate_bezier() [1/4]

template<typename T, typename OutputIterator>

void wykobi::generate_bezier ( const cubic_bezier< T, 2 > & bezier, OutputIterator out, const std::size_t & point_count = 1000 )

inline

generate_bezier() [2/4]

template<typename T, typename OutputIterator>

void wykobi::generate_bezier ( const cubic_bezier< T, 3 > & bezier, OutputIterator out, const std::size_t & point_count = 1000 )

inline

generate_bezier() [3/4]

template<typename T, typename OutputIterator>

void wykobi::generate_bezier ( const quadratic_bezier< T, 2 > & bezier, OutputIterator out, const std::size_t & point_count = 1000 )

inline

generate_bezier() [4/4]

template<typename T, typename OutputIterator>

void wykobi::generate_bezier ( const quadratic_bezier< T, 3 > & bezier, OutputIterator out, const std::size_t & point_count = 1000 )

inline

generate_point_on_ray() [1/2]

template<typename T>

point2d< T > wykobi::generate_point_on_ray ( const ray< T, 2 > & ray, const T & t )

inline

generate_point_on_ray() [2/2]

template<typename T>

point3d< T > wykobi::generate_point_on_ray ( const ray< T, 3 > & ray, const T & t )

inline

generate_point_on_segment() [1/2]

template<typename T>

point2d< T > wykobi::generate_point_on_segment ( const segment< T, 2 > & segment, const T & t )

inline

generate_point_on_segment() [2/2]

template<typename T>

point3d< T > wykobi::generate_point_on_segment ( const segment< T, 3 > & segment, const T & t )

inline

generate_random_object() [1/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & x2, const T & y2, circle< T > & circle )

inline

generate_random_object() [2/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & x2, const T & y2, quadix< T, 2 > & quadix )

inline

generate_random_object() [3/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & x2, const T & y2, rectangle< T > & rectangle )

inline

generate_random_object() [4/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & x2, const T & y2, segment< T, 2 > & segment )

inline

generate_random_object() [5/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & x2, const T & y2, triangle< T, 2 > & triangle )

inline

generate_random_object() [6/6]

template<typename T>

void wykobi::generate_random_object ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, box< T, 3 > & box )

inline

generate_random_point() [1/14]

template<typename T>

point3d< T > wykobi::generate_random_point ( const box< T, 3 > & box )

inline

generate_random_point() [2/14]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::generate_random_point ( const box< T, D > & box )

inline

generate_random_point() [3/14]

template<typename T>

point2d< T > wykobi::generate_random_point ( const quadix< T, 2 > & quadix )

inline

generate_random_point() [4/14]

template<typename T>

point3d< T > wykobi::generate_random_point ( const quadix< T, 3 > & quadix )

inline

generate_random_point() [5/14]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::generate_random_point ( const quadix< T, D > & quadix )

inline

generate_random_point() [6/14]

template<typename T>

point2d< T > wykobi::generate_random_point ( const rectangle< T > & rectangle )

inline

generate_random_point() [7/14]

template<typename T>

point2d< T > wykobi::generate_random_point ( const segment< T, 2 > & segment )

inline

generate_random_point() [8/14]

template<typename T>

point3d< T > wykobi::generate_random_point ( const segment< T, 3 > & segment )

inline

generate_random_point() [9/14]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::generate_random_point ( const segment< T, D > & segment )

inline

generate_random_point() [10/14]

template<typename T>

point2d< T > wykobi::generate_random_point ( const T & dx, const T & dy )

inline

generate_random_point() [11/14]

template<typename T>

point3d< T > wykobi::generate_random_point ( const T & dx, const T & dy, const T & dz )

inline

generate_random_point() [12/14]

template<typename T>

point2d< T > wykobi::generate_random_point ( const triangle< T, 2 > & triangle )

inline

generate_random_point() [13/14]

template<typename T>

point3d< T > wykobi::generate_random_point ( const triangle< T, 3 > & triangle )

inline

generate_random_point() [14/14]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::generate_random_point ( const triangle< T, D > & triangle )

inline

generate_random_points() [1/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const box< T, 3 > & box, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [2/15]

template<typename T, std::size_t D, typename OutputIterator>

void wykobi::generate_random_points ( const box< T, D > & box, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [3/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const circle< T > & circle, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [4/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const quadix< T, 2 > & quadix, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [5/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const quadix< T, 3 > & quadix, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [6/15]

template<typename T, std::size_t D, typename OutputIterator>

void wykobi::generate_random_points ( const quadix< T, D > & quadix, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [7/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const rectangle< T > & rectangle, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [8/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const segment< T, 2 > & segment, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [9/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const segment< T, 3 > & segment, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [10/15]

template<typename T, std::size_t D, typename OutputIterator>

void wykobi::generate_random_points ( const segment< T, D > & segment, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [11/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const T & x1, const T & y1, const T & x2, const T & y2, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [12/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [13/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const triangle< T, 2 > & triangle, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [14/15]

template<typename T, typename OutputIterator>

void wykobi::generate_random_points ( const triangle< T, 3 > & triangle, const std::size_t & point_count, OutputIterator out )

inline

generate_random_points() [15/15]

template<typename T, std::size_t D, typename OutputIterator>

void wykobi::generate_random_points ( const triangle< T, D > & triangle, const std::size_t & point_count, OutputIterator out )

inline

generate_random_value()

template<typename T>

T wykobi::generate_random_value ( const T & range )

inline

greater_than_or_equal() [1/2]

template<typename T>

bool wykobi::greater_than_or_equal ( const T & val1, const T & val2 )

inline

greater_than_or_equal() [2/2]

template<typename T>

bool wykobi::greater_than_or_equal ( const T & val1, const T & val2, const T & epsilon )

inline

horizontal_mirror()

template<typename T>

T wykobi::horizontal_mirror ( const T & angle )

inline

in_circle() [1/3]

template<typename T>

int wykobi::in_circle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

in_circle() [2/3]

template<typename T>

int wykobi::in_circle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & px, const T & py )

inline

in_circle() [3/3]

template<typename T>

int wykobi::in_circle ( const triangle< T, 2 > & triangle, const point2d< T > & point )

inline

in_sphere() [1/3]

template<typename T>

int wykobi::in_sphere ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const point2d< T > & point5 )

inline

in_sphere() [2/3]

template<typename T>

int wykobi::in_sphere ( const quadix< T, 3 > & quadix, const point3d< T > & point )

inline

in_sphere() [3/3]

template<typename T>

int wykobi::in_sphere ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & px, const T & py, const T & pz )

inline

incenter() [1/6]

template<typename T>

point2d< T > wykobi::incenter ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

incenter() [2/6]

template<typename T>

point3d< T > wykobi::incenter ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

incenter() [3/6]

template<typename T>

void wykobi::incenter ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, T & px, T & py )

inline

incenter() [4/6]

template<typename T>

void wykobi::incenter ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, T & px, T & py, T & pz )

inline

incenter() [5/6]

template<typename T>

point2d< T > wykobi::incenter ( const triangle< T, 2 > & triangle )

inline

incenter() [6/6]

template<typename T>

point3d< T > wykobi::incenter ( const triangle< T, 3 > & triangle )

inline

infinity()

template<typename T>

T wykobi::infinity ( )

inline

inscribed_circle() [1/3]

template<typename T>

circle< T > wykobi::inscribed_circle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

inscribed_circle() [2/3]

template<typename T>

circle< T > wykobi::inscribed_circle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

inscribed_circle() [3/3]

template<typename T>

circle< T > wykobi::inscribed_circle ( const triangle< T, 2 > & triangle )

inline

inscribed_sphere() [1/3]

template<typename T>

sphere< T > wykobi::inscribed_sphere ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

inscribed_sphere() [2/3]

template<typename T>

sphere< T > wykobi::inscribed_sphere ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

inscribed_sphere() [3/3]

template<typename T>

sphere< T > wykobi::inscribed_sphere ( const triangle< T, 3 > & triangle )

inline

intersect() [1/70]

template<typename T>

bool wykobi::intersect ( const box< T, 3 > & box, const sphere< T > & sphere )

inline

intersect() [2/70]

template<typename T>

bool wykobi::intersect ( const circle< T > & circle, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [3/70]

template<typename T>

bool wykobi::intersect ( const circle< T > & circle, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [4/70]

template<typename T>

bool wykobi::intersect ( const circle< T > & circle1, const circle< T > & circle2 )

inline

intersect() [5/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line, const circle< T > & circle )

inline

intersect() [6/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [7/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line, const quadix< T, 2 > & quadix )

inline

intersect() [8/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [9/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line, const triangle< T, 2 > & triangle )

inline

intersect() [10/70]

template<typename T>

bool wykobi::intersect ( const line< T, 2 > & line1, const line< T, 2 > & line2 )

inline

intersect() [11/70]

template<typename T>

bool wykobi::intersect ( const line< T, 3 > & line, const cubic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [12/70]

template<typename T>

bool wykobi::intersect ( const line< T, 3 > & line, const plane< T, 3 > & plane )

inline

intersect() [13/70]

template<typename T>

bool wykobi::intersect ( const line< T, 3 > & line, const quadratic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [14/70]

template<typename T>

bool wykobi::intersect ( const line< T, 3 > & line, const sphere< T > & sphere )

inline

intersect() [15/70]

template<typename T>

bool wykobi::intersect ( const line< T, 3 > & line, const triangle< T, 3 > & triangle )

inline

intersect() [16/70]

template<typename T, std::size_t D>

bool wykobi::intersect ( const line< T, D > & line1, const line< T, D > & line2, const T & fuzzy = T(0.0) )

inline

intersect() [17/70]

template<typename T>

bool wykobi::intersect ( const plane< T, 3 > & plane, const line< T, 3 > & line )

inline

intersect() [18/70]

template<typename T>

bool wykobi::intersect ( const plane< T, 3 > & plane, const sphere< T > & sphere )

inline

intersect() [19/70]

template<typename T>

bool wykobi::intersect ( const plane< T, 3 > & plane1, const plane< T, 3 > & plane2 )

inline

intersect() [20/70]

template<typename T>

bool wykobi::intersect ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

intersect() [21/70]

template<typename T>

bool wykobi::intersect ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, point2d< T > & int_point )

inline

intersect() [22/70]

template<typename T>

bool wykobi::intersect ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & fuzzy = T(0.0) )

inline

intersect() [23/70]

template<typename T>

bool wykobi::intersect ( const quadix< T, 2 > & quadix, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [24/70]

template<typename T>

bool wykobi::intersect ( const quadix< T, 2 > & quadix, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [25/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const circle< T > & circle )

inline

intersect() [26/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const polygon< T, 2 > & polygon )

inline

intersect() [27/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const quadix< T, 2 > & quadix )

inline

intersect() [28/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const rectangle< T > & rectangle )

inline

intersect() [29/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const segment< T, 2 > & segment )

inline

intersect() [30/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray, const triangle< T, 2 > & triangle )

inline

intersect() [31/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 2 > & ray1, const ray< T, 2 > & ray2 )

inline

intersect() [32/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray, const box< T, 3 > & box )

inline

intersect() [33/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray, const plane< T, 3 > & plane )

inline

intersect() [34/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray, const segment< T, 3 > & segment )

inline

intersect() [35/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray, const sphere< T > & sphere )

inline

intersect() [36/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray, const triangle< T, 3 > & triangle )

inline

intersect() [37/70]

template<typename T>

bool wykobi::intersect ( const ray< T, 3 > & ray1, const ray< T, 3 > & ray2 )

inline

intersect() [38/70]

template<typename T>

bool wykobi::intersect ( const rectangle< T > & rectangle, const circle< T > & circle )

inline

intersect() [39/70]

template<typename T>

bool wykobi::intersect ( const rectangle< T > & rectangle, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [40/70]

template<typename T>

bool wykobi::intersect ( const rectangle< T > & rectangle, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [41/70]

template<typename T>

bool wykobi::intersect ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

intersect() [42/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const circle< T > & circle )

inline

intersect() [43/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [44/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const line< T, 2 > & line )

inline

intersect() [45/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const quadix< T, 2 > & quadix )

inline

intersect() [46/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [47/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const rectangle< T > & rectangle )

inline

intersect() [48/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment, const triangle< T, 2 > & triangle )

inline

intersect() [49/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

intersect() [50/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, point2d< T > & i_point )

inline

intersect() [51/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, T & ix, T & iy )

inline

intersect() [52/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const box< T, 3 > & box )

inline

intersect() [53/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const cubic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [54/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const line< T, 3 > & line, const T & fuzzy = T(0.0) )

inline

intersect() [55/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const plane< T, 3 > & plane )

inline

intersect() [56/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const quadratic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [57/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment, const sphere< T > & sphere )

inline

intersect() [58/70]

template<typename T>

bool wykobi::intersect ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & fuzzy = T(0.0) )

inline

intersect() [59/70]

template<typename T, std::size_t D>

bool wykobi::intersect ( const segment< T, D > & segment1, const segment< T, D > & segment2, const T & fuzzy = T(0.0) )

inline

intersect() [60/70]

template<typename T>

bool wykobi::intersect ( const sphere< T > & sphere, const cubic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [61/70]

template<typename T>

bool wykobi::intersect ( const sphere< T > & sphere, const quadratic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [62/70]

template<typename T>

bool wykobi::intersect ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

intersect() [63/70]

template<typename T>

bool wykobi::intersect ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

intersect() [64/70]

template<typename T>

bool wykobi::intersect ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, T & ix, T & iy )

inline

intersect() [65/70]

template<typename T>

bool wykobi::intersect ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & fuzzy = T(0.0) )

inline

intersect() [66/70]

template<typename T>

bool wykobi::intersect ( const triangle< T, 2 > & triangle, const circle< T > & circle )

inline

intersect() [67/70]

template<typename T>

bool wykobi::intersect ( const triangle< T, 2 > & triangle, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [68/70]

template<typename T>

bool wykobi::intersect ( const triangle< T, 2 > & triangle, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000 )

inline

intersect() [69/70]

template<typename T>

bool wykobi::intersect ( const triangle< T, 2 > & triangle, const rectangle< T > & rectangle )

inline

intersect() [70/70]

template<typename T>

bool wykobi::intersect ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

intersect_horizontal_horizontal()

template<typename T>

bool wykobi::intersect_horizontal_horizontal ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

intersect_vertical_horizontal()

template<typename T>

bool wykobi::intersect_vertical_horizontal ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

intersect_vertical_vertical()

template<typename T>

bool wykobi::intersect_vertical_vertical ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

intersection_point() [1/33]

template<typename T>

void wykobi::intersection_point ( const circle< T > & circle1, const circle< T > & circle2, point2d< T > & point1, point2d< T > & point2 )

inline

intersection_point() [2/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const line< T, 2 > & line, const circle< T > & circle, OutputIterator out )

inline

intersection_point() [3/33]

template<typename T>

point2d< T > wykobi::intersection_point ( const line< T, 2 > & line1, const line< T, 2 > & line2 )

inline

intersection_point() [4/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const line< T, 3 > & line, const plane< T, 3 > & plane )

inline

intersection_point() [5/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const line< T, 3 > & line, const sphere< T > & sphere, OutputIterator out )

inline

intersection_point() [6/33]

template<typename T>

void wykobi::intersection_point ( const line< T, 3 > & line, const triangle< T, 3 > & triangle, point3d< T > & ipoint )

inline

intersection_point() [7/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const line< T, 3 > & line1, const line< T, 3 > & line2, const T & fuzzy = T(0.0) )

inline

intersection_point() [8/33]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::intersection_point ( const line< T, D > & line1, const line< T, D > & line2, const T & fuzzy = T(0.0) )

inline

intersection_point() [9/33]

template<typename T>

point2d< T > wykobi::intersection_point ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

intersection_point() [10/33]

template<typename T>

void wykobi::intersection_point ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, T & ix, T & iy )

inline

intersection_point() [11/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & fuzzy = T(0.0) )

inline

intersection_point() [12/33]

template<typename T>

void wykobi::intersection_point ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, T & ix, T & iy, T & iz, const T & fuzzy = T(0.0) )

inline

intersection_point() [13/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const ray< T, 2 > & ray, const circle< T > & circle, OutputIterator out )

inline

intersection_point() [14/33]

template<typename T>

point2d< T > wykobi::intersection_point ( const ray< T, 2 > & ray1, const ray< T, 2 > & ray2 )

inline

intersection_point() [15/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const ray< T, 3 > & ray, const plane< T, 3 > & plane )

inline

intersection_point() [16/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const ray< T, 3 > & ray, const sphere< T > & sphere, OutputIterator out )

inline

intersection_point() [17/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const ray< T, 3 > & ray, const triangle< T, 3 > & triangle )

inline

intersection_point() [18/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 2 > & segment, const circle< T > & circle, OutputIterator out )

inline

intersection_point() [19/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 2 > & segment, const cubic_bezier< T, 2 > & bezier, OutputIterator out, const std::size_t & steps = 1000 )

inline

intersection_point() [20/33]

template<typename T>

point2d< T > wykobi::intersection_point ( const segment< T, 2 > & segment, const line< T, 2 > & line )

inline

intersection_point() [21/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 2 > & segment, const quadratic_bezier< T, 2 > & bezier, OutputIterator out, const std::size_t & steps = 1000 )

inline

intersection_point() [22/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 2 > & segment, const triangle< T, 2 > & triangle, OutputIterator out )

inline

intersection_point() [23/33]

template<typename T>

point2d< T > wykobi::intersection_point ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

intersection_point() [24/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 3 > & segment, const cubic_bezier< T, 3 > & bezier, OutputIterator out, const std::size_t & steps = 1000 )

inline

intersection_point() [25/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const segment< T, 3 > & segment, const line< T, 3 > & line, const T & fuzzy = T(0.0) )

inline

intersection_point() [26/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const segment< T, 3 > & segment, const plane< T, 3 > & plane )

inline

intersection_point() [27/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 3 > & segment, const quadratic_bezier< T, 3 > & bezier, OutputIterator out, const std::size_t & steps = 1000 )

inline

intersection_point() [28/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const segment< T, 3 > & segment, const sphere< T > & sphere, OutputIterator out )

inline

intersection_point() [29/33]

template<typename T>

point3d< T > wykobi::intersection_point ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & fuzzy = T(0.0) )

inline

intersection_point() [30/33]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::intersection_point ( const segment< T, D > & segment1, const segment< T, D > & segment2, const T & fuzzy = T(0.0) )

inline

intersection_point() [31/33]

template<typename T, typename OutputIterator>

void wykobi::intersection_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & cx, const T & cy, const T & radius, OutputIterator out )

inline

intersection_point() [32/33]

template<typename T>

void wykobi::intersection_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, T & ix, T & iy )

inline

intersection_point() [33/33]

template<typename T>

void wykobi::intersection_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, T & ix, T & iy, T & iz, const T & fuzzy = T(0.0) )

inline

intersection_point_line_to_line()

template<typename T>

void wykobi::intersection_point_line_to_line ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, T & Ix, T & Iy, T & Iz, const T & fuzzy = T(0.0) )

inline

inverse() [1/4]

template<typename T>

void wykobi::inverse ( matrix< T, 2, 2 > & out_matrix, const matrix< T, 2, 2 > & in_matrix )

inline

inverse() [2/4]

template<typename T>

void wykobi::inverse ( matrix< T, 3, 3 > & out_matrix, const matrix< T, 3, 3 > & in_matrix )

inline

inverse() [3/4]

template<typename T>

void wykobi::inverse ( matrix< T, 4, 4 > & out_matrix, const matrix< T, 4, 4 > & in_matrix )

inline

inverse() [4/4]

template<typename T, std::size_t N>

void wykobi::inverse ( matrix< T, N, N > & out_matrix, const matrix< T, N, N > & in_matrix )

inline

inverse_chebyshev_distance() [1/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const circle< T > & circle1, const circle< T > & circle2 )

inline

inverse_chebyshev_distance() [2/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const point2d< T > & point1, const point2d< T > & point2 )

inline

inverse_chebyshev_distance() [3/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const point3d< T > & point1, const point3d< T > & point2 )

inline

inverse_chebyshev_distance() [4/8]

template<typename T, std::size_t D>

T wykobi::inverse_chebyshev_distance ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

inverse_chebyshev_distance() [5/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const segment< T, 2 > & segment )

inline

inverse_chebyshev_distance() [6/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const segment< T, 3 > & segment )

inline

inverse_chebyshev_distance() [7/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

inverse_chebyshev_distance() [8/8]

template<typename T>

T wykobi::inverse_chebyshev_distance ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

invert_circle_across_circle()

template<typename T>

circle< T > wykobi::invert_circle_across_circle ( const circle< T > & circle1, const circle< T > & circle2 )

inline

invert_point() [1/2]

template<typename T>

point2d< T > wykobi::invert_point ( const point2d< T > & point, const circle< T > & circle )

inline

invert_point() [2/2]

template<typename T>

point3d< T > wykobi::invert_point ( const point3d< T > & point, const sphere< T > & sphere )

inline

invert_sphere_across_sphere()

template<typename T>

sphere< T > wykobi::invert_sphere_across_sphere ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

is_convex_polygon()

template<typename T>

bool wykobi::is_convex_polygon ( const polygon< T, 2 > & polygon )

inline

is_degenerate() [1/14]

template<typename T>

bool wykobi::is_degenerate ( const circle< T > & circle )

inline

is_degenerate() [2/14]

template<typename T>

bool wykobi::is_degenerate ( const circular_arc< T > & arc )

inline

is_degenerate() [3/14]

template<typename T>

bool wykobi::is_degenerate ( const line< T, 2 > & line )

inline

is_degenerate() [4/14]

template<typename T>

bool wykobi::is_degenerate ( const line< T, 3 > & line )

inline

is_degenerate() [5/14]

template<typename T>

bool wykobi::is_degenerate ( const quadix< T, 2 > & quadix )

inline

is_degenerate() [6/14]

template<typename T>

bool wykobi::is_degenerate ( const quadix< T, 3 > & quadix )

inline

is_degenerate() [7/14]

template<typename T>

bool wykobi::is_degenerate ( const rectangle< T > & rectangle )

inline

is_degenerate() [8/14]

template<typename T>

bool wykobi::is_degenerate ( const segment< T, 2 > & segment )

inline

is_degenerate() [9/14]

template<typename T>

bool wykobi::is_degenerate ( const segment< T, 3 > & segment )

inline

is_degenerate() [10/14]

template<typename T>

bool wykobi::is_degenerate ( const sphere< T > & sphere )

inline

is_degenerate() [11/14]

template<typename T>

bool wykobi::is_degenerate ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

is_degenerate() [12/14]

template<typename T>

bool wykobi::is_degenerate ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

is_degenerate() [13/14]

template<typename T>

bool wykobi::is_degenerate ( const triangle< T, 2 > & triangle )

inline

is_degenerate() [14/14]

template<typename T>

bool wykobi::is_degenerate ( const triangle< T, 3 > & triangle )

inline

is_equal() [1/12]

template<typename T>

bool wykobi::is_equal ( const box< T, 3 > & box1, const box< T, 3 > & box2 )

inline

is_equal() [2/12]

template<typename T>

bool wykobi::is_equal ( const circle< T > & circle1, const circle< T > & circle2 )

inline

is_equal() [3/12]

template<typename T>

bool wykobi::is_equal ( const point2d< T > & point1, const point2d< T > & point2 )

inline

is_equal() [4/12]

template<typename T>

bool wykobi::is_equal ( const point2d< T > & point1, const point2d< T > & point2, const T & epsilon )

inline

is_equal() [5/12]

template<typename T>

bool wykobi::is_equal ( const point3d< T > & point1, const point3d< T > & point2 )

inline

is_equal() [6/12]

template<typename T>

bool wykobi::is_equal ( const point3d< T > & point1, const point3d< T > & point2, const T & epsilon )

inline

is_equal() [7/12]

template<typename T, std::size_t D>

bool wykobi::is_equal ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

is_equal() [8/12]

template<typename T, std::size_t D>

bool wykobi::is_equal ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const T & epsilon )

inline

is_equal() [9/12]

template<typename T>

bool wykobi::is_equal ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

is_equal() [10/12]

template<typename T>

bool wykobi::is_equal ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

is_equal() [11/12]

template<typename T>

bool wykobi::is_equal ( const T & val1, const T & val2 )

inline

is_equal() [12/12]

template<typename T>

bool wykobi::is_equal ( const T & val1, const T & val2, const T & epsilon )

inline

is_equilateral_triangle() [1/2]

template<typename T>

bool wykobi::is_equilateral_triangle ( const triangle< T, 2 > & triangle )

inline

is_equilateral_triangle() [2/2]

template<typename T>

bool wykobi::is_equilateral_triangle ( const triangle< T, 3 > & triangle )

inline

is_isosceles_triangle() [1/2]

template<typename T>

bool wykobi::is_isosceles_triangle ( const triangle< T, 2 > & triangle )

inline

is_isosceles_triangle() [2/2]

template<typename T>

bool wykobi::is_isosceles_triangle ( const triangle< T, 3 > & triangle )

inline

is_point_collinear() [1/8]

template<typename T>

bool wykobi::is_point_collinear ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const bool robust = false )

inline

is_point_collinear() [2/8]

template<typename T>

bool wykobi::is_point_collinear ( const point2d< T > & point1, const point2d< T > & point2, const T & px, const T & py, const bool robust = false )

inline

is_point_collinear() [3/8]

template<typename T>

bool wykobi::is_point_collinear ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const bool robust = false )

inline

is_point_collinear() [4/8]

template<typename T>

bool wykobi::is_point_collinear ( const segment< T, 2 > & segment, const point2d< T > & point, const bool robust = false )

inline

is_point_collinear() [5/8]

template<typename T>

bool wykobi::is_point_collinear ( const segment< T, 3 > & segment, const point3d< T > & point, const bool robust = false )

inline

is_point_collinear() [6/8]

template<typename T, std::size_t D>

bool wykobi::is_point_collinear ( const segment< T, D > & segment, const pointnd< T, D > & point, const bool robust = false )

inline

is_point_collinear() [7/8]

template<typename T>

bool wykobi::is_point_collinear ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, const bool robust = false )

inline

is_point_collinear() [8/8]

template<typename T>

bool wykobi::is_point_collinear ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, const bool robust = false )

inline

is_right_triangle() [1/2]

template<typename T>

bool wykobi::is_right_triangle ( const wykobi::triangle< T, 2 > & triangle )

inline

is_right_triangle() [2/2]

template<typename T>

bool wykobi::is_right_triangle ( const wykobi::triangle< T, 3 > & triangle )

inline

is_skinny_triangle() [1/3]

template<typename T>

bool wykobi::is_skinny_triangle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

is_skinny_triangle() [2/3]

template<typename T>

bool wykobi::is_skinny_triangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

is_skinny_triangle() [3/3]

template<typename T>

bool wykobi::is_skinny_triangle ( const triangle< T, 2 > & triangle )

inline

is_tangent()

template<typename T>

bool wykobi::is_tangent ( const segment< T, 2 > & segment, const circle< T > & circle )

inline

isogonal_conjugate() [1/2]

template<typename T>

point2d< T > wykobi::isogonal_conjugate ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

isogonal_conjugate() [2/2]

template<typename T>

point3d< T > wykobi::isogonal_conjugate ( const point3d< T > & point, const triangle< T, 3 > & triangle )

inline

lay_distance() [1/21]

template<typename T>

T wykobi::lay_distance ( const line< T, 3 > & line1, const line< T, 3 > & line2 )

inline

lay_distance() [2/21]

template<typename T, std::size_t D>

T wykobi::lay_distance ( const line< T, D > & line1, const line< T, D > & line2 )

inline

lay_distance() [3/21]

template<typename T>

T wykobi::lay_distance ( const point2d< T > & point, const quadix< T, 2 > & triangle )

inline

lay_distance() [4/21]

template<typename T>

T wykobi::lay_distance ( const point2d< T > & point, const ray< T, 2 > & ray )

inline

lay_distance() [5/21]

template<typename T>

T wykobi::lay_distance ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

lay_distance() [6/21]

template<typename T>

T wykobi::lay_distance ( const point2d< T > & point1, const point2d< T > & point2 )

inline

lay_distance() [7/21]

template<typename T>

T wykobi::lay_distance ( const point3d< T > & point, const plane< T, 3 > & plane )

inline

lay_distance() [8/21]

template<typename T>

T wykobi::lay_distance ( const point3d< T > & point, const ray< T, 3 > & ray )

inline

lay_distance() [9/21]

template<typename T>

T wykobi::lay_distance ( const point3d< T > & point1, const point3d< T > & point2 )

inline

lay_distance() [10/21]

template<typename T, std::size_t D>

T wykobi::lay_distance ( const pointnd< T, D > & point, const line< T, D > & line )

inline

lay_distance() [11/21]

template<typename T, std::size_t D>

T wykobi::lay_distance ( const pointnd< T, D > & point, const segment< T, D > & segment )

inline

lay_distance() [12/21]

template<typename T, std::size_t D>

T wykobi::lay_distance ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

lay_distance() [13/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 2 > & segment )

inline

lay_distance() [14/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 2 > & segment, const triangle< T, 2 > & triangle )

inline

lay_distance() [15/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

lay_distance() [16/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 3 > & segment )

inline

lay_distance() [17/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 3 > & segment, const triangle< T, 3 > & triangle )

inline

lay_distance() [18/21]

template<typename T>

T wykobi::lay_distance ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2 )

inline

lay_distance() [19/21]

template<typename T, std::size_t D>

T wykobi::lay_distance ( const segment< T, D > & segment1, const segment< T, D > & segment2 )

inline

lay_distance() [20/21]

template<typename T>

T wykobi::lay_distance ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

lay_distance() [21/21]

template<typename T>

T wykobi::lay_distance ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

lay_distance_from_point_to_circle_center()

template<typename T>

T wykobi::lay_distance_from_point_to_circle_center ( const point2d< T > & point, const circle< T > & circle )

inline

lay_distance_from_point_to_sphere_center()

template<typename T>

T wykobi::lay_distance_from_point_to_sphere_center ( const point3d< T > & point, const sphere< T > & sphere )

inline

lay_distance_line_to_line() [1/2]

template<typename T>

T wykobi::lay_distance_line_to_line ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

lay_distance_line_to_line() [2/2]

template<typename T>

T wykobi::lay_distance_line_to_line ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

lay_distance_segment_to_segment() [1/2]

template<typename T>

T wykobi::lay_distance_segment_to_segment ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

lay_distance_segment_to_segment() [2/2]

template<typename T>

T wykobi::lay_distance_segment_to_segment ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

lengthen_segment() [1/4]

template<typename T>

segment< T, 2 > wykobi::lengthen_segment ( const segment< T, 2 > & segment, const T & amount )

inline

lengthen_segment() [2/4]

template<typename T>

segment< T, 3 > wykobi::lengthen_segment ( const segment< T, 3 > & segment, const T & amount )

inline

lengthen_segment() [3/4]

template<typename T>

void wykobi::lengthen_segment ( T & x1, T & y1, T & x2, T & y2, const T & amount )

inline

lengthen_segment() [4/4]

template<typename T>

void wykobi::lengthen_segment ( T & x1, T & y1, T & z1, T & x2, T & y2, T & z2, const T & amount )

inline

less_than_or_equal() [1/2]

template<typename T>

bool wykobi::less_than_or_equal ( const T & val1, const T & val2 )

inline

less_than_or_equal() [2/2]

template<typename T>

bool wykobi::less_than_or_equal ( const T & val1, const T & val2, const T & epsilon )

inline

line_to_line_intersect() [1/2]

template<typename T>

bool wykobi::line_to_line_intersect ( const line< T, 2 > & line1, const line< T, 2 > & line2 )

inline

line_to_line_intersect() [2/2]

template<typename T>

bool wykobi::line_to_line_intersect ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

make_box() [1/3]

template<typename T>

box< T, 3 > wykobi::make_box ( const point3d< T > & point1, const point3d< T > & point2 )

inline

make_box() [2/3]

template<typename T, std::size_t D>

box< T, D > wykobi::make_box ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

make_box() [3/3]

template<typename T>

box< T, 3 > wykobi::make_box ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

make_circle() [1/5]

template<typename T>

circle< T > wykobi::make_circle ( const point2d< T > & point, const T & radius )

inline

make_circle() [2/5]

template<typename T>

circle< T > wykobi::make_circle ( const point2d< T > & point1, const point2d< T > & point2 )

inline

make_circle() [3/5]

template<typename T>

circle< T > wykobi::make_circle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

make_circle() [4/5]

template<typename T>

circle< T > wykobi::make_circle ( const T & x, const T & y, const T & radius )

inline

make_circle() [5/5]

template<typename T>

circle< T > wykobi::make_circle ( const triangle< T, 2 > & triangle )

inline

make_curve_point() [1/4]

template<typename T>

curve_point< T, 2 > wykobi::make_curve_point ( const point2d< T > & point, const T & t )

inline

make_curve_point() [2/4]

template<typename T>

curve_point< T, 3 > wykobi::make_curve_point ( const point3d< T > & point, const T & t )

inline

make_curve_point() [3/4]

template<typename T>

curve_point< T, 2 > wykobi::make_curve_point ( const T & x, const T & y, const T & t )

inline

make_curve_point() [4/4]

template<typename T>

curve_point< T, 3 > wykobi::make_curve_point ( const T & x, const T & y, const T & z, const T & t )

inline

make_line() [1/9]

template<typename T>

line< T, 2 > wykobi::make_line ( const point2d< T > & point1, const point2d< T > & point2 )

inline

make_line() [2/9]

template<typename T>

line< T, 3 > wykobi::make_line ( const point3d< T > & point1, const point3d< T > & point2 )

inline

make_line() [3/9]

template<typename T, std::size_t D>

line< T, D > wykobi::make_line ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

make_line() [4/9]

template<typename T>

line< T, 2 > wykobi::make_line ( const ray< T, 2 > & ray )

inline

make_line() [5/9]

template<typename T>

line< T, 3 > wykobi::make_line ( const ray< T, 3 > & ray )

inline

make_line() [6/9]

template<typename T>

line< T, 2 > wykobi::make_line ( const segment< T, 2 > & segment )

inline

make_line() [7/9]

template<typename T>

line< T, 3 > wykobi::make_line ( const segment< T, 3 > & segment )

inline

make_line() [8/9]

template<typename T>

line< T, 2 > wykobi::make_line ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

make_line() [9/9]

template<typename T>

line< T, 3 > wykobi::make_line ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

make_plane() [1/5]

template<typename T>

plane< T, 3 > wykobi::make_plane ( const point3d< T > & point, const vector3d< T > & normal )

inline

make_plane() [2/5]

template<typename T>

plane< T, 3 > wykobi::make_plane ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

make_plane() [3/5]

template<typename T>

plane< T, 3 > wykobi::make_plane ( const T & px, const T & py, const T & pz, const T & nx, const T & ny, const T & nz )

inline

make_plane() [4/5]

template<typename T>

plane< T, 3 > wykobi::make_plane ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

make_plane() [5/5]

template<typename T>

plane< T, 3 > wykobi::make_plane ( const triangle< T, 3 > & triangle )

inline

make_point() [1/6]

template<typename T>

point2d< T > wykobi::make_point ( const circle< T > & circle )

inline

make_point() [2/6]

template<typename T>

point3d< T > wykobi::make_point ( const point2d< T > point, const T & z = T(0.0) )

inline

make_point() [3/6]

template<typename T>

point2d< T > wykobi::make_point ( const point3d< T > point )

inline

make_point() [4/6]

template<typename T>

point3d< T > wykobi::make_point ( const sphere< T > & sphere )

inline

make_point() [5/6]

template<typename T>

point2d< T > wykobi::make_point ( const T & x, const T & y )

inline

make_point() [6/6]

template<typename T>

point3d< T > wykobi::make_point ( const T & x, const T & y, const T & z )

inline

make_polygon() [1/10]

template<typename T>

polygon< T, 2 > wykobi::make_polygon ( const circle< T > & circle, const unsigned int point_count = 360 )

inline

make_polygon() [2/10]

template<typename T, std::size_t D, typename InputIterator>

polygon< T, D > wykobi::make_polygon ( const InputIterator begin, const InputIterator end )

inline

make_polygon() [3/10]

template<typename T>

polygon< T, 2 > wykobi::make_polygon ( const quadix< T, 2 > & quadix )

inline

make_polygon() [4/10]

template<typename T, std::size_t D>

polygon< T, D > wykobi::make_polygon ( const quadix< T, D > & quadix )

inline

make_polygon() [5/10]

template<typename T>

polygon< T, 2 > wykobi::make_polygon ( const rectangle< T > & rectangle )

inline

make_polygon() [6/10]

template<typename T>

polygon< T, 2 > wykobi::make_polygon ( const std::vector< point2d< T > > & point_list )

inline

make_polygon() [7/10]

template<typename T>

polygon< T, 3 > wykobi::make_polygon ( const std::vector< point3d< T > > & point_list )

inline

make_polygon() [8/10]

template<typename T, std::size_t D>

polygon< T, D > wykobi::make_polygon ( const std::vector< pointnd< T, D > > & point_list )

inline

make_polygon() [9/10]

template<typename T>

polygon< T, 2 > wykobi::make_polygon ( const triangle< T, 2 > & triangle )

inline

make_polygon() [10/10]

template<typename T, std::size_t D>

polygon< T, D > wykobi::make_polygon ( const triangle< T, D > & triangle )

inline

make_quadix() [1/7]

template<typename T>

quadix< T, 2 > wykobi::make_quadix ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

make_quadix() [2/7]

template<typename T>

quadix< T, 3 > wykobi::make_quadix ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4 )

inline

make_quadix() [3/7]

template<typename T, std::size_t D>

quadix< T, D > wykobi::make_quadix ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const pointnd< T, D > & point3, const pointnd< T, D > & point4 )

inline

make_quadix() [4/7]

template<typename T>

quadix< T, 2 > wykobi::make_quadix ( const rectangle< T > & rectangle )

inline

make_quadix() [5/7]

template<typename T>

quadix< T, 2 > wykobi::make_quadix ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

make_quadix() [6/7]

template<typename T>

quadix< T, 2 > wykobi::make_quadix ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

make_quadix() [7/7]

template<typename T>

quadix< T, 3 > wykobi::make_quadix ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

make_ray() [1/6]

template<typename T>

ray< T, 2 > wykobi::make_ray ( const point2d< T > & origin, const T & bearing )

inline

make_ray() [2/6]

template<typename T>

ray< T, 2 > wykobi::make_ray ( const point2d< T > & origin, const vector2d< T > & direction )

inline

make_ray() [3/6]

template<typename T>

ray< T, 3 > wykobi::make_ray ( const point3d< T > & origin, const vector3d< T > & direction )

inline

make_ray() [4/6]

template<typename T, std::size_t D>

ray< T, D > wykobi::make_ray ( const pointnd< T, D > & origin, const vectornd< T, D > & direction )

inline

make_ray() [5/6]

template<typename T>

ray< T, 2 > wykobi::make_ray ( const T & ox, const T & oy, const T & dir_x, const T & dir_y )

inline

make_ray() [6/6]

template<typename T>

ray< T, 3 > wykobi::make_ray ( const T & ox, const T & oy, const T & oz, const T & dir_x, const T & dir_y, const T & dir_z )

inline

make_rectangle() [1/2]

template<typename T>

rectangle< T > wykobi::make_rectangle ( const point2d< T > & point1, const point2d< T > & point2 )

inline

make_rectangle() [2/2]

template<typename T>

rectangle< T > wykobi::make_rectangle ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

make_segment() [1/7]

template<typename T>

segment< T, 2 > wykobi::make_segment ( const line< T, 2 > & line )

inline

make_segment() [2/7]

template<typename T>

segment< T, 3 > wykobi::make_segment ( const line< T, 3 > & line )

inline

make_segment() [3/7]

template<typename T>

segment< T, 2 > wykobi::make_segment ( const point2d< T > & point1, const point2d< T > & point2 )

inline

make_segment() [4/7]

template<typename T>

segment< T, 3 > wykobi::make_segment ( const point3d< T > & point1, const point3d< T > & point2 )

inline

make_segment() [5/7]

template<typename T, std::size_t D>

segment< T, D > wykobi::make_segment ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

make_segment() [6/7]

template<typename T>

segment< T, 2 > wykobi::make_segment ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

make_segment() [7/7]

template<typename T>

segment< T, 3 > wykobi::make_segment ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

make_sphere() [1/5]

template<typename T>

sphere< T > wykobi::make_sphere ( const point3d< T > & point, const T & radius )

inline

make_sphere() [2/5]

template<typename T>

sphere< T > wykobi::make_sphere ( const point3d< T > & point1, const point3d< T > & point2 )

inline

make_sphere() [3/5]

template<typename T, std::size_t D>

hypersphere< T, D > wykobi::make_sphere ( const pointnd< T, D > & point, const T & radius )

inline

make_sphere() [4/5]

template<typename T, std::size_t D>

hypersphere< T, D > wykobi::make_sphere ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

make_sphere() [5/5]

template<typename T>

sphere< T > wykobi::make_sphere ( const T & x, const T & y, const T & z, const T & radius )

inline

make_triangle() [1/5]

template<typename T>

triangle< T, 2 > wykobi::make_triangle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

make_triangle() [2/5]

template<typename T>

triangle< T, 3 > wykobi::make_triangle ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

make_triangle() [3/5]

template<typename T, std::size_t D>

triangle< T, D > wykobi::make_triangle ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const pointnd< T, D > & point3 )

inline

make_triangle() [4/5]

template<typename T>

triangle< T, 2 > wykobi::make_triangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

make_triangle() [5/5]

template<typename T>

triangle< T, 3 > wykobi::make_triangle ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

make_vector() [1/7]

template<typename T>

vector2d< T > wykobi::make_vector ( const point2d< T > point )

inline

make_vector() [2/7]

template<typename T>

vector3d< T > wykobi::make_vector ( const point3d< T > point )

inline

make_vector() [3/7]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::make_vector ( const pointnd< T, D > & point )

inline

make_vector() [4/7]

template<typename T>

vector2d< T > wykobi::make_vector ( const T & x, const T & y )

inline

make_vector() [5/7]

template<typename T>

vector3d< T > wykobi::make_vector ( const T & x, const T & y, const T & z )

inline

make_vector() [6/7]

template<typename T>

vector3d< T > wykobi::make_vector ( const vector2d< T > v, const T & z = T(0.0) )

inline

make_vector() [7/7]

template<typename T>

vector2d< T > wykobi::make_vector ( const vector3d< T > v )

inline

mandart_circle()

template<typename T>

circle< T > wykobi::mandart_circle ( const triangle< T, 2 > & triangle )

inline

manhattan_distance() [1/10]

template<typename T>

T wykobi::manhattan_distance ( const circle< T > & circle1, const circle< T > & circle2 )

inline

manhattan_distance() [2/10]

template<typename T>

T wykobi::manhattan_distance ( const point2d< T > & point, const ray< T, 2 > & ray )

inline

manhattan_distance() [3/10]

template<typename T>

T wykobi::manhattan_distance ( const point2d< T > & point1, const point2d< T > & point2 )

inline

manhattan_distance() [4/10]

template<typename T>

T wykobi::manhattan_distance ( const point3d< T > & point, const ray< T, 3 > & ray )

inline

manhattan_distance() [5/10]

template<typename T>

T wykobi::manhattan_distance ( const point3d< T > & point1, const point3d< T > & point2 )

inline

manhattan_distance() [6/10]

template<typename T, std::size_t D>

T wykobi::manhattan_distance ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

manhattan_distance() [7/10]

template<typename T>

T wykobi::manhattan_distance ( const segment< T, 2 > & segment )

inline

manhattan_distance() [8/10]

template<typename T>

T wykobi::manhattan_distance ( const segment< T, 3 > & segment )

inline

manhattan_distance() [9/10]

template<typename T>

T wykobi::manhattan_distance ( const T & x1, const T & y1, const T & x2, const T & y2 )

inline

manhattan_distance() [10/10]

template<typename T>

T wykobi::manhattan_distance ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

max() [1/2]

template<typename T>

T wykobi::max ( const T & value1, const T & value2 )

inline

max() [2/2]

template<typename T>

T wykobi::max ( const T & value1, const T & value2, const T & value3 )

inline

min() [1/2]

template<typename T>

T wykobi::min ( const T & value1, const T & value2 )

inline

min() [2/2]

template<typename T>

T wykobi::min ( const T & value1, const T & value2, const T & value3 )

inline

minimum_distance_from_point_to_line() [1/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_line ( const point2d< T > & point, const line< T, 2 > & line )

inline

minimum_distance_from_point_to_line() [2/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_line ( const point3d< T > & point, const line< T, 3 > & line )

inline

minimum_distance_from_point_to_line() [3/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_line ( const T & px, const T & py, const T & pz, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

minimum_distance_from_point_to_line() [4/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_line ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

minimum_distance_from_point_to_rectangle() [1/2]

template<typename T>

T wykobi::minimum_distance_from_point_to_rectangle ( const point2d< T > & point, const rectangle< T > & rectangle )

inline

minimum_distance_from_point_to_rectangle() [2/2]

template<typename T>

T wykobi::minimum_distance_from_point_to_rectangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

minimum_distance_from_point_to_segment() [1/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_segment ( const point2d< T > & point, const segment< T, 2 > & segment )

inline

minimum_distance_from_point_to_segment() [2/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_segment ( const point3d< T > & point, const segment< T, 3 > & segment )

inline

minimum_distance_from_point_to_segment() [3/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_segment ( const T & px, const T & py, const T & pz, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

minimum_distance_from_point_to_segment() [4/4]

template<typename T>

T wykobi::minimum_distance_from_point_to_segment ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

minimum_distance_from_point_to_triangle() [1/2]

template<typename T>

T wykobi::minimum_distance_from_point_to_triangle ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

minimum_distance_from_point_to_triangle() [2/2]

template<typename T>

T wykobi::minimum_distance_from_point_to_triangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

minkowski_difference() [1/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const circle< T > & triangle, const circle< T > & circle )

inline

minkowski_difference() [2/12]

template<typename T>

point2d< T > wykobi::minkowski_difference ( const point2d< T > & point1, const point2d< T > & point2 )

inline

minkowski_difference() [3/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const polygon< T, 2 > & polygon1, const polygon< T, 2 > & polygon2 )

inline

minkowski_difference() [4/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const quadix< T, 2 > & quadix, const circle< T > & circle )

inline

minkowski_difference() [5/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const quadix< T, 2 > & quadix, const rectangle< T > & rectangle )

inline

minkowski_difference() [6/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const quadix< T, 2 > & quadix1, const quadix< T, 2 > & quadix2 )

inline

minkowski_difference() [7/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const rectangle< T > & rectangle, const circle< T > & circle )

inline

minkowski_difference() [8/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

minkowski_difference() [9/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const triangle< T, 2 > & triangle, const circle< T > & circle )

inline

minkowski_difference() [10/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const triangle< T, 2 > & triangle, const quadix< T, 2 > & quadix )

inline

minkowski_difference() [11/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const triangle< T, 2 > & triangle, const rectangle< T > & rectangle )

inline

minkowski_difference() [12/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_difference ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

minkowski_sum() [1/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const circle< T > & triangle, const circle< T > & circle )

inline

minkowski_sum() [2/12]

template<typename T>

point2d< T > wykobi::minkowski_sum ( const point2d< T > & point1, const point2d< T > & point2 )

inline

minkowski_sum() [3/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const polygon< T, 2 > & polygon1, const polygon< T, 2 > & polygon2 )

inline

minkowski_sum() [4/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const quadix< T, 2 > & quadix, const circle< T > & circle )

inline

minkowski_sum() [5/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const quadix< T, 2 > & quadix, const rectangle< T > & rectangle )

inline

minkowski_sum() [6/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const quadix< T, 2 > & quadix1, const quadix< T, 2 > & quadix2 )

inline

minkowski_sum() [7/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const rectangle< T > & rectangle, const circle< T > & circle )

inline

minkowski_sum() [8/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

minkowski_sum() [9/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const triangle< T, 2 > & triangle, const circle< T > & circle )

inline

minkowski_sum() [10/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const triangle< T, 2 > & triangle, const quadix< T, 2 > & quadix )

inline

minkowski_sum() [11/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const triangle< T, 2 > & triangle, const rectangle< T > & rectangle )

inline

minkowski_sum() [12/12]

template<typename T>

polygon< T, 2 > wykobi::minkowski_sum ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

mirror() [1/34]

template<typename T>

box< T, 3 > wykobi::mirror ( const box< T, 3 > & box, const line< T, 3 > & mirror_axis )

inline

mirror() [2/34]

template<typename T>

box< T, 3 > wykobi::mirror ( const box< T, 3 > & box, const plane< T, 3 > & mirror_plane )

inline

mirror() [3/34]

template<typename T, std::size_t D>

box< T, D > wykobi::mirror ( const box< T, D > & box, const line< T, D > & mirror_axis )

inline

mirror() [4/34]

template<typename T>

circle< T > wykobi::mirror ( const circle< T > & circle, const line< T, 2 > & mirror_axis )

inline

mirror() [5/34]

template<typename T, std::size_t D>

hypersphere< T, D > wykobi::mirror ( const hypersphere< T, D > & sphere, const line< T, D > & mirror_axis )

inline

mirror() [6/34]

template<typename T>

line< T, 2 > wykobi::mirror ( const line< T, 2 > & line, const wykobi::line< T, 2 > & mirror_axis )

inline

mirror() [7/34]

template<typename T>

line< T, 3 > wykobi::mirror ( const line< T, 3 > & line, const plane< T, 3 > & mirror_plane )

inline

mirror() [8/34]

template<typename T>

line< T, 3 > wykobi::mirror ( const line< T, 3 > & line, const wykobi::line< T, 3 > & mirror_axis )

inline

mirror() [9/34]

template<typename T, std::size_t D>

line< T, D > wykobi::mirror ( const line< T, D > & line, const wykobi::line< T, D > & mirror_axis )

inline

mirror() [10/34]

template<typename T>

point2d< T > wykobi::mirror ( const point2d< T > & point, const line< T, 2 > & mirror_axis )

inline

mirror() [11/34]

template<typename T>

point3d< T > wykobi::mirror ( const point3d< T > & point, const line< T, 3 > & mirror_axis )

inline

mirror() [12/34]

template<typename T>

point3d< T > wykobi::mirror ( const point3d< T > & point, const plane< T, 3 > & mirror_plane )

inline

mirror() [13/34]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::mirror ( const pointnd< T, D > & point, const line< T, D > & mirror_axis )

inline

mirror() [14/34]

template<typename T>

polygon< T, 2 > wykobi::mirror ( const polygon< T, 2 > & polygon, const line< T, 2 > & mirror_axis )

inline

mirror() [15/34]

template<typename T>

polygon< T, 3 > wykobi::mirror ( const polygon< T, 3 > & polygon, const line< T, 3 > & mirror_axis )

inline

mirror() [16/34]

template<typename T>

polygon< T, 3 > wykobi::mirror ( const polygon< T, 3 > & polygon, const plane< T, 3 > & mirror_plane )

inline

mirror() [17/34]

template<typename T, std::size_t D>

polygon< T, D > wykobi::mirror ( const polygon< T, D > & polygon, const line< T, D > & mirror_axis )

inline

mirror() [18/34]

template<typename T>

quadix< T, 2 > wykobi::mirror ( const quadix< T, 2 > & quadix, const line< T, 2 > & mirror_axis )

inline

mirror() [19/34]

template<typename T>

quadix< T, 3 > wykobi::mirror ( const quadix< T, 3 > & quadix, const line< T, 3 > & mirror_axis )

inline

mirror() [20/34]

template<typename T>

quadix< T, 3 > wykobi::mirror ( const quadix< T, 3 > & quadix, const plane< T, 3 > & mirror_plane )

inline

mirror() [21/34]

template<typename T, std::size_t D>

quadix< T, D > wykobi::mirror ( const quadix< T, D > & quadix, const line< T, D > & mirror_axis )

inline

mirror() [22/34]

template<typename T>

rectangle< T > wykobi::mirror ( const rectangle< T > & rectangle, const line< T, 2 > & mirror_axis )

inline

mirror() [23/34]

template<typename T>

segment< T, 2 > wykobi::mirror ( const segment< T, 2 > & segment, const line< T, 2 > & mirror_axis )

inline

mirror() [24/34]

template<typename T>

segment< T, 3 > wykobi::mirror ( const segment< T, 3 > & segment, const line< T, 3 > & mirror_axis )

inline

mirror() [25/34]

template<typename T>

segment< T, 3 > wykobi::mirror ( const segment< T, 3 > & segment, const plane< T, 3 > & mirror_plane )

inline

mirror() [26/34]

template<typename T, std::size_t D>

segment< T, D > wykobi::mirror ( const segment< T, D > & segment, const line< T, D > & mirror_axis )

inline

mirror() [27/34]

template<typename T>

sphere< T > wykobi::mirror ( const sphere< T > & sphere, const line< T, 3 > & mirror_axis )

inline

mirror() [28/34]

template<typename T>

sphere< T > wykobi::mirror ( const sphere< T > & sphere, const plane< T, 3 > & mirror_plane )

inline

mirror() [29/34]

template<typename T>

void wykobi::mirror ( const T & px, const T & py, const T & pz, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, T & nx, T & ny, T & nz )

inline

mirror() [30/34]

template<typename T>

void wykobi::mirror ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, T & nx, T & ny )

inline

mirror() [31/34]

template<typename T>

triangle< T, 2 > wykobi::mirror ( const triangle< T, 2 > & triangle, const line< T, 2 > & mirror_axis )

inline

mirror() [32/34]

template<typename T>

triangle< T, 3 > wykobi::mirror ( const triangle< T, 3 > & triangle, const line< T, 3 > & mirror_axis )

inline

mirror() [33/34]

template<typename T>

triangle< T, 3 > wykobi::mirror ( const triangle< T, 3 > & triangle, const plane< T, 3 > & mirror_plane )

inline

mirror() [34/34]

template<typename T, std::size_t D>

triangle< T, D > wykobi::mirror ( const triangle< T, D > & triangle, const line< T, D > & mirror_axis )

inline

negative_infinite_point2d()

template<typename T>

point2d< T > wykobi::negative_infinite_point2d ( )

inline

negative_infinite_point3d()

template<typename T>

point3d< T > wykobi::negative_infinite_point3d ( )

inline

negative_infinite_pointnd()

template<typename T, std::size_t D>

pointnd< T, D > wykobi::negative_infinite_pointnd ( )

inline

nine_point_circle() [1/3]

template<typename T>

circle< T > wykobi::nine_point_circle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

nine_point_circle() [2/3]

template<typename T>

circle< T > wykobi::nine_point_circle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

nine_point_circle() [3/3]

template<typename T>

circle< T > wykobi::nine_point_circle ( const triangle< T, 2 > & triangle )

inline

nonsymmetric_mirror() [1/15]

template<typename T>

box< T, 3 > wykobi::nonsymmetric_mirror ( const box< T, 3 > & box, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [2/15]

template<typename T>

circle< T > wykobi::nonsymmetric_mirror ( const circle< T > & circle, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [3/15]

template<typename T>

point2d< T > wykobi::nonsymmetric_mirror ( const point2d< T > & point, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [4/15]

template<typename T>

point3d< T > wykobi::nonsymmetric_mirror ( const point3d< T > & point, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [5/15]

template<typename T>

polygon< T, 2 > wykobi::nonsymmetric_mirror ( const polygon< T, 2 > & polygon, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [6/15]

template<typename T>

polygon< T, 3 > wykobi::nonsymmetric_mirror ( const polygon< T, 3 > & polygon, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [7/15]

template<typename T>

quadix< T, 2 > wykobi::nonsymmetric_mirror ( const quadix< T, 2 > & quadix, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [8/15]

template<typename T>

quadix< T, 3 > wykobi::nonsymmetric_mirror ( const quadix< T, 3 > & quadix, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [9/15]

template<typename T>

rectangle< T > wykobi::nonsymmetric_mirror ( const rectangle< T > & rectangle, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [10/15]

template<typename T>

segment< T, 2 > wykobi::nonsymmetric_mirror ( const segment< T, 2 > & segment, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [11/15]

template<typename T>

segment< T, 3 > wykobi::nonsymmetric_mirror ( const segment< T, 3 > & segment, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [12/15]

template<typename T>

circle< T > wykobi::nonsymmetric_mirror ( const sphere< T > & sphere, const T & ratio, const plane< T, 3 > & plane )

inline

nonsymmetric_mirror() [13/15]

template<typename T>

void wykobi::nonsymmetric_mirror ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & ratio, T & nx, T & ny )

inline

nonsymmetric_mirror() [14/15]

template<typename T>

triangle< T, 2 > wykobi::nonsymmetric_mirror ( const triangle< T, 2 > & triangle, const T & ratio, const line< T, 2 > & line )

inline

nonsymmetric_mirror() [15/15]

template<typename T>

triangle< T, 3 > wykobi::nonsymmetric_mirror ( const triangle< T, 3 > & triangle, const T & ratio, const plane< T, 3 > & plane )

inline

normalize() [1/3]

template<typename T>

vector2d< T > wykobi::normalize ( const vector2d< T > & v )

inline

normalize() [2/3]

template<typename T>

vector3d< T > wykobi::normalize ( const vector3d< T > & v )

inline

normalize() [3/3]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::normalize ( const vectornd< T, D > & v )

inline

normalize_angle()

template<typename T>

T wykobi::normalize_angle ( const T & angle )

inline

not_equal() [1/12]

template<typename T>

bool wykobi::not_equal ( const box< T, 3 > & box1, const box< T, 3 > & box2 )

inline

not_equal() [2/12]

template<typename T>

bool wykobi::not_equal ( const circle< T > & circle1, const circle< T > & circle2 )

inline

not_equal() [3/12]

template<typename T>

bool wykobi::not_equal ( const point2d< T > & point1, const point2d< T > & point2 )

inline

not_equal() [4/12]

template<typename T>

bool wykobi::not_equal ( const point2d< T > & point1, const point2d< T > & point2, const T & epsilon )

inline

not_equal() [5/12]

template<typename T>

bool wykobi::not_equal ( const point3d< T > & point1, const point3d< T > & point2 )

inline

not_equal() [6/12]

template<typename T>

bool wykobi::not_equal ( const point3d< T > & point1, const point3d< T > & point2, const T & epsilon )

inline

not_equal() [7/12]

template<typename T, std::size_t D>

bool wykobi::not_equal ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

not_equal() [8/12]

template<typename T, std::size_t D>

bool wykobi::not_equal ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const T & epsilon )

inline

not_equal() [9/12]

template<typename T>

bool wykobi::not_equal ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

not_equal() [10/12]

template<typename T>

bool wykobi::not_equal ( const sphere< T > & sphere1, const sphere< T > & sphere2 )

inline

not_equal() [11/12]

template<typename T>

bool wykobi::not_equal ( const T & val1, const T & val2 )

inline

not_equal() [12/12]

template<typename T>

bool wykobi::not_equal ( const T & val1, const T & val2, const T & epsilon )

inline

operator*() [1/16]

template<typename T>

point2d< T > wykobi::operator* ( const point2d< T > & point, const T & scale )

inline

operator*() [2/16]

template<typename T>

point3d< T > wykobi::operator* ( const point3d< T > & point, const T & scale )

inline

operator*() [3/16]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator* ( const pointnd< T, D > & point, const T & scale )

inline

operator*() [4/16]

template<typename T>

point2d< T > wykobi::operator* ( const T & scale, const point2d< T > & point )

inline

operator*() [5/16]

template<typename T>

point3d< T > wykobi::operator* ( const T & scale, const point3d< T > & point )

inline

operator*() [6/16]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator* ( const T & scale, const pointnd< T, D > & point )

inline

operator*() [7/16]

template<typename T>

vector2d< T > wykobi::operator* ( const T & scale, const vector2d< T > & v1 )

inline

operator*() [8/16]

template<typename T>

vector3d< T > wykobi::operator* ( const T & scale, const vector3d< T > & v1 )

inline

operator*() [9/16]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator* ( const T & scale, const vectornd< T, D > & v1 )

inline

operator*() [10/16]

template<typename T>

vector2d< T > wykobi::operator* ( const vector2d< T > & v1, const T & scale )

inline

operator*() [11/16]

template<typename T>

T wykobi::operator* ( const vector2d< T > & v1, const vector2d< T > & v2 )

inline

operator*() [12/16]

template<typename T>

vector3d< T > wykobi::operator* ( const vector3d< T > & v1, const T & scale )

inline

operator*() [13/16]

template<typename T>

vector3d< T > wykobi::operator* ( const vector3d< T > & v1, const vector3d< T > & v2 )

inline

operator*() [14/16]

template<typename T>

T wykobi::operator* ( const vectornd< T, 2 > & v1, const vectornd< T, 2 > & v2 )

inline

operator*() [15/16]

template<typename T>

vectornd< T, 3 > wykobi::operator* ( const vectornd< T, 3 > & v1, const vectornd< T, 3 > & v2 )

inline

operator*() [16/16]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator* ( const vectornd< T, D > & v1, const T & scale )

inline

operator+() [1/12]

template<typename T>

point2d< T > wykobi::operator+ ( const point2d< T > & p1, const point2d< T > & p2 )

inline

operator+() [2/12]

template<typename T>

point2d< T > wykobi::operator+ ( const point2d< T > & point, const vector2d< T > & v )

inline

operator+() [3/12]

template<typename T>

point3d< T > wykobi::operator+ ( const point3d< T > & p1, const point3d< T > & p2 )

inline

operator+() [4/12]

template<typename T>

point3d< T > wykobi::operator+ ( const point3d< T > & point, const vector3d< T > & v )

inline

operator+() [5/12]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator+ ( const pointnd< T, D > & p1, const pointnd< T, D > & p2 )

inline

operator+() [6/12]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator+ ( const pointnd< T, D > & point, const vectornd< T, D > & v )

inline

operator+() [7/12]

template<typename T>

point2d< T > wykobi::operator+ ( const vector2d< T > & v, const point2d< T > & point )

inline

operator+() [8/12]

template<typename T>

vector2d< T > wykobi::operator+ ( const vector2d< T > & v1, const vector2d< T > & v2 )

inline

operator+() [9/12]

template<typename T>

point3d< T > wykobi::operator+ ( const vector3d< T > & v, const point3d< T > & point )

inline

operator+() [10/12]

template<typename T>

vector3d< T > wykobi::operator+ ( const vector3d< T > & v1, const vector3d< T > & v2 )

inline

operator+() [11/12]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator+ ( const vectornd< T, D > & v, const pointnd< T, D > & point )

inline

operator+() [12/12]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator+ ( const vectornd< T, D > & v1, const vectornd< T, D > & v2 )

inline

operator-() [1/6]

template<typename T>

vector2d< T > wykobi::operator- ( const point2d< T > & p1, const point2d< T > & p2 )

inline

operator-() [2/6]

template<typename T>

vector3d< T > wykobi::operator- ( const point3d< T > & p1, const point3d< T > & p2 )

inline

operator-() [3/6]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator- ( const pointnd< T, D > & p1, const pointnd< T, D > & p2 )

inline

operator-() [4/6]

template<typename T>

vector2d< T > wykobi::operator- ( const vector2d< T > & v1, const vector2d< T > & v2 )

inline

operator-() [5/6]

template<typename T>

vector3d< T > wykobi::operator- ( const vector3d< T > & v1, const vector3d< T > & v2 )

inline

operator-() [6/6]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator- ( const vectornd< T, D > & v1, const vectornd< T, D > & v2 )

inline

operator/() [1/4]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::operator/ ( const pointnd< T, D > & point, const T & scale )

inline

operator/() [2/4]

template<typename T>

vector2d< T > wykobi::operator/ ( const vector2d< T > & v1, const T & scale )

inline

operator/() [3/4]

template<typename T>

vector3d< T > wykobi::operator/ ( const vector3d< T > & v1, const T & scale )

inline

operator/() [4/4]

template<typename T, std::size_t D>

vectornd< T, D > wykobi::operator/ ( const vectornd< T, D > & v1, const T & scale )

inline

operator<() [1/3]

template<typename T>

bool wykobi::operator< ( const point2d< T > & point1, const point2d< T > & point2 )

inline

operator<() [2/3]

template<typename T>

bool wykobi::operator< ( const point3d< T > & point1, const point3d< T > & point2 )

inline

operator<() [3/3]

template<typename T, std::size_t D>

bool wykobi::operator< ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

operator<<() [1/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const box< Type, Dimension > & box )

inline

operator<<() [2/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const circle< Type > & circle )

inline

operator<<() [3/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const line< Type, Dimension > & line )

inline

operator<<() [4/16]

template<typename Type, std::size_t M, std::size_t N>

std::ostream & wykobi::operator<< ( std::ostream & os, const matrix< Type, M, N > & matrix )

inline

operator<<() [5/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const point2d< Type > & point )

inline

operator<<() [6/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const point3d< Type > & point )

inline

operator<<() [7/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const pointnd< Type, Dimension > & point )

inline

operator<<() [8/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const quadix< Type, Dimension > & quadix )

inline

operator<<() [9/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const ray< Type, 2 > & ray )

inline

operator<<() [10/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const ray< Type, 3 > & ray )

inline

operator<<() [11/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const rectangle< Type > & rectangle )

inline

operator<<() [12/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const segment< Type, Dimension > & segment )

inline

operator<<() [13/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const sphere< Type > & sphere )

inline

operator<<() [14/16]

template<typename Type, std::size_t Dimension>

std::ostream & wykobi::operator<< ( std::ostream & os, const triangle< Type, Dimension > & triangle )

inline

operator<<() [15/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const vector2d< Type > & v )

inline

operator<<() [16/16]

template<typename Type>

std::ostream & wykobi::operator<< ( std::ostream & os, const vector3d< Type > & v )

inline

operator==() [1/3]

template<typename T>

bool wykobi::operator== ( const point2d< T > & point1, const point2d< T > & point2 )

inline

operator==() [2/3]

template<typename T>

bool wykobi::operator== ( const point3d< T > & point1, const point3d< T > & point2 )

inline

operator==() [3/3]

template<typename T, std::size_t D>

bool wykobi::operator== ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

operator>() [1/3]

template<typename T>

bool wykobi::operator> ( const point2d< T > & point1, const point2d< T > & point2 )

inline

operator>() [2/3]

template<typename T>

bool wykobi::operator> ( const point3d< T > & point1, const point3d< T > & point2 )

inline

operator>() [3/3]

template<typename T, std::size_t D>

bool wykobi::operator> ( const pointnd< T, D > & point1, const pointnd< T, D > & point2 )

inline

opposing_edge() [1/2]

template<typename T>

segment< T, 2 > wykobi::opposing_edge ( const triangle< T, 2 > & triangle, const std::size_t & corner )

inline

opposing_edge() [2/2]

template<typename T>

segment< T, 3 > wykobi::opposing_edge ( const triangle< T, 3 > & triangle, const std::size_t & corner )

inline

order_sensitive_closest_point_on_line_from_point() [1/2]

template<typename T>

void wykobi::order_sensitive_closest_point_on_line_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, T & nx, T & ny )

inline

order_sensitive_closest_point_on_line_from_point() [2/2]

template<typename T>

void wykobi::order_sensitive_closest_point_on_line_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

order_sensitive_closest_point_on_segment_from_point() [1/2]

template<typename T>

void wykobi::order_sensitive_closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py, T & nx, T & ny )

inline

order_sensitive_closest_point_on_segment_from_point() [2/2]

template<typename T>

void wykobi::order_sensitive_closest_point_on_segment_from_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & px, const T & py, const T & pz, T & nx, T & ny, T & nz )

inline

orientation() [1/10]

template<typename T>

int wykobi::orientation ( const line< T, 2 > & line, const point2d< T > & point )

inline

orientation() [2/10]

template<typename T>

int wykobi::orientation ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

orientation() [3/10]

template<typename T>

int wykobi::orientation ( const point2d< T > & point1, const point2d< T > & point2, const T & px, const T & py )

inline

orientation() [4/10]

template<typename T>

int wykobi::orientation ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4 )

inline

orientation() [5/10]

template<typename T>

int wykobi::orientation ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const T & px, const T & py, const T & pz )

inline

orientation() [6/10]

template<typename T>

int wykobi::orientation ( const segment< T, 2 > & segment, const point2d< T > & point )

inline

orientation() [7/10]

template<typename T>

int wykobi::orientation ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

orientation() [8/10]

template<typename T>

int wykobi::orientation ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & px, const T & py, const T & pz )

inline

orientation() [9/10]

template<typename T>

int wykobi::orientation ( const triangle< T, 2 > & triangle )

inline

orientation() [10/10]

template<typename T>

int wykobi::orientation ( const triangle< T, 3 > & triangle, const point3d< T > & point )

inline

oriented_vertex_angle() [1/2]

template<typename T>

T wykobi::oriented_vertex_angle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const int orient = Clockwise )

inline

oriented_vertex_angle() [2/2]

template<typename T>

T wykobi::oriented_vertex_angle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const int orient = Clockwise )

inline

orthocenter() [1/2]

template<typename T>

point2d< T > wykobi::orthocenter ( const triangle< T, 2 > & triangle )

inline

orthocenter() [2/2]

template<typename T>

point3d< T > wykobi::orthocenter ( const triangle< T, 3 > & triangle )

inline

out_code()

template<typename T>

int wykobi::out_code ( const point2d< T > & point, const rectangle< T > & rectangle )

inline

parallel() [1/10]

template<typename T>

bool wykobi::parallel ( const line< T, 2 > & line1, const line< T, 2 > & line2, const T & epsilon = T(Epsilon) )

inline

parallel() [2/10]

template<typename T>

bool wykobi::parallel ( const line< T, 3 > & line1, const line< T, 3 > & line2, const T & epsilon = T(Epsilon) )

inline

parallel() [3/10]

template<typename T, std::size_t D>

bool wykobi::parallel ( const line< T, D > & line1, const line< T, D > & line2 )

inline

parallel() [4/10]

template<typename T>

bool wykobi::parallel ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, const T & epsilon = T(Epsilon) )

inline

parallel() [5/10]

template<typename T>

bool wykobi::parallel ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & epsilon = T(Epsilon) )

inline

parallel() [6/10]

template<typename T>

bool wykobi::parallel ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, const T & epsilon = T(Epsilon) )

inline

parallel() [7/10]

template<typename T>

bool wykobi::parallel ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & epsilon = T(Epsilon) )

inline

parallel() [8/10]

template<typename T, std::size_t D>

bool wykobi::parallel ( const segment< T, D > & segment1, const segment< T, D > & segment2 )

inline

parallel() [9/10]

template<typename T>

bool wykobi::parallel ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & epsilon = T(Epsilon) )

inline

parallel() [10/10]

template<typename T>

bool wykobi::parallel ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & epsilon = T(Epsilon) )

inline

perimeter() [1/12]

template<typename T>

T wykobi::perimeter ( const circle< T > & circle )

inline

perimeter() [2/12]

template<typename T>

T wykobi::perimeter ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

perimeter() [3/12]

template<typename T>

T wykobi::perimeter ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

perimeter() [4/12]

template<typename T>

T wykobi::perimeter ( const polygon< T, 2 > & polygon )

inline

perimeter() [5/12]

template<typename T, std::size_t D>

T wykobi::perimeter ( const polygon< T, D > & polygon )

inline

perimeter() [6/12]

template<typename T>

T wykobi::perimeter ( const quadix< T, 2 > & quadix )

inline

perimeter() [7/12]

template<typename T>

T wykobi::perimeter ( const quadix< T, 3 > & quadix )

inline

perimeter() [8/12]

template<typename T, std::size_t D>

T wykobi::perimeter ( const quadix< T, D > & quadix )

inline

perimeter() [9/12]

template<typename T>

T wykobi::perimeter ( const rectangle< T > & rectangle )

inline

perimeter() [10/12]

template<typename T>

T wykobi::perimeter ( const triangle< T, 2 > & triangle )

inline

perimeter() [11/12]

template<typename T>

T wykobi::perimeter ( const triangle< T, 3 > & triangle )

inline

perimeter() [12/12]

template<typename T, std::size_t D>

T wykobi::perimeter ( const triangle< T, D > & triangle )

inline

perpendicular() [1/13]

template<typename T>

bool wykobi::perpendicular ( const line< T, 2 > & line, const segment< T, 2 > & segment, const T & epsilon = T(Epsilon) )

inline

perpendicular() [2/13]

template<typename T>

bool wykobi::perpendicular ( const line< T, 2 > & line1, const line< T, 2 > & line2, const T & epsilon = T(Epsilon) )

inline

perpendicular() [3/13]

template<typename T>

bool wykobi::perpendicular ( const line< T, 3 > & line1, const line< T, 3 > & line2, const T & epsilon = T(Epsilon) )

inline

perpendicular() [4/13]

template<typename T, std::size_t D>

bool wykobi::perpendicular ( const line< T, D > & line1, const line< T, D > & line2 )

inline

perpendicular() [5/13]

template<typename T>

bool wykobi::perpendicular ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, const T & epsilon = T(Epsilon) )

inline

perpendicular() [6/13]

template<typename T>

bool wykobi::perpendicular ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & epsilon = T(Epsilon) )

inline

perpendicular() [7/13]

template<typename T>

bool wykobi::perpendicular ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, const T & epsilon = T(Epsilon) )

inline

perpendicular() [8/13]

template<typename T>

bool wykobi::perpendicular ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & epsilon = T(Epsilon) )

inline

perpendicular() [9/13]

template<typename T, std::size_t D>

bool wykobi::perpendicular ( const segment< T, D > & segment1, const segment< T, D > & segment2 )

inline

perpendicular() [10/13]

template<typename T>

bool wykobi::perpendicular ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & epsilon = T(Epsilon) )

inline

perpendicular() [11/13]

template<typename T>

bool wykobi::perpendicular ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & epsilon = T(Epsilon) )

inline

perpendicular() [12/13]

template<typename T>

vector2d< T > wykobi::perpendicular ( const vector2d< T > & v )

inline

perpendicular() [13/13]

template<typename T>

vector3d< T > wykobi::perpendicular ( const vector3d< T > & v )

inline

perpendicular_product()

template<typename T>

T wykobi::perpendicular_product ( const vector2d< T > & v1, const vector2d< T > & v2 )

inline

perspectrix() [1/2]

template<typename T>

line< T, 2 > wykobi::perspectrix ( const triangle< T, 2 > & triangle1, const triangle< T, 2 > & triangle2 )

inline

perspectrix() [2/2]

template<typename T>

line< T, 3 > wykobi::perspectrix ( const triangle< T, 3 > & triangle1, const triangle< T, 3 > & triangle2 )

inline

point_in_box() [1/7]

template<typename T>

bool wykobi::point_in_box ( const point3d< T > & point, const box< T, 3 > & box )

inline

point_in_box() [2/7]

template<typename T>

bool wykobi::point_in_box ( const point3d< T > & point, const point3d< T > & box_point1, const point3d< T > & box_point2 )

inline

point_in_box() [3/7]

template<typename T>

bool wykobi::point_in_box ( const point3d< T > & point, const segment< T, 3 > & segment )

inline

point_in_box() [4/7]

template<typename T>

bool wykobi::point_in_box ( const point3d< T > & point, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

point_in_box() [5/7]

template<typename T, std::size_t D>

bool wykobi::point_in_box ( const pointnd< T, D > & point, const box< T, D > & box )

inline

point_in_box() [6/7]

template<typename T>

bool wykobi::point_in_box ( const T & px, const T & py, const T & pz, const box< T, 3 > & box )

inline

point_in_box() [7/7]

template<typename T>

bool wykobi::point_in_box ( const T & px, const T & py, const T & pz, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

point_in_circle() [1/3]

template<typename T>

bool wykobi::point_in_circle ( const point2d< T > & point, const circle< T > & circle )

inline

point_in_circle() [2/3]

template<typename T>

bool wykobi::point_in_circle ( const T & px, const T & py, const circle< T > & circle )

inline

point_in_circle() [3/3]

template<typename T>

bool wykobi::point_in_circle ( const T & px, const T & py, const T & cx, const T & cy, const T & radius )

inline

point_in_convex_polygon() [1/2]

template<typename T>

bool wykobi::point_in_convex_polygon ( const point2d< T > & point, const polygon< T, 2 > & polygon )

inline

point_in_convex_polygon() [2/2]

template<typename T>

bool wykobi::point_in_convex_polygon ( const T & px, const T & py, const polygon< T, 2 > & polygon )

inline

point_in_focus_area() [1/2]

template<typename T>

bool wykobi::point_in_focus_area ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

point_in_focus_area() [2/2]

template<typename T>

bool wykobi::point_in_focus_area ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

point_in_polygon() [1/2]

template<typename T>

bool wykobi::point_in_polygon ( const point2d< T > & point, const polygon< T, 2 > & polygon )

inline

point_in_polygon() [2/2]

template<typename T>

bool wykobi::point_in_polygon ( const T & px, const T & py, const polygon< T, 2 > & polygon )

inline

point_in_polygon_winding_number() [1/2]

template<typename T>

bool wykobi::point_in_polygon_winding_number ( const point2d< T > & point, const polygon< T, 2 > & polygon )

inline

point_in_polygon_winding_number() [2/2]

template<typename T>

bool wykobi::point_in_polygon_winding_number ( const T & px, const T & py, const polygon< T, 2 > & polygon )

inline

point_in_quadix() [1/4]

template<typename T>

bool wykobi::point_in_quadix ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

point_in_quadix() [2/4]

template<typename T>

bool wykobi::point_in_quadix ( const point2d< T > & point, const quadix< T, 2 > & quadix )

inline

point_in_quadix() [3/4]

template<typename T>

bool wykobi::point_in_quadix ( const T & px, const T & py, const quadix< T, 2 > & quadix )

inline

point_in_quadix() [4/4]

template<typename T>

bool wykobi::point_in_quadix ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

point_in_rectangle() [1/6]

template<typename T>

bool wykobi::point_in_rectangle ( const point2d< T > & point, const point2d< T > & rect_point1, point2d< T > & rect_point2 )

inline

point_in_rectangle() [2/6]

template<typename T>

bool wykobi::point_in_rectangle ( const point2d< T > & point, const rectangle< T > & rectangle )

inline

point_in_rectangle() [3/6]

template<typename T>

bool wykobi::point_in_rectangle ( const point2d< T > & point, const segment< T, 2 > & segment )

inline

point_in_rectangle() [4/6]

template<typename T>

bool wykobi::point_in_rectangle ( const point2d< T > & point, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

point_in_rectangle() [5/6]

template<typename T>

bool wykobi::point_in_rectangle ( const T & px, const T & py, const rectangle< T > & rectangle )

inline

point_in_rectangle() [6/6]

template<typename T>

bool wykobi::point_in_rectangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

point_in_sphere() [1/4]

template<typename T>

bool wykobi::point_in_sphere ( const point3d< T > & point, const sphere< T > & sphere )

inline

point_in_sphere() [2/4]

template<typename T, std::size_t D>

bool wykobi::point_in_sphere ( const pointnd< T, D > & point, const hypersphere< T, D > & hypersphere )

inline

point_in_sphere() [3/4]

template<typename T>

bool wykobi::point_in_sphere ( const T & px, const T & py, const T & pz, const sphere< T > & sphere )

inline

point_in_sphere() [4/4]

template<typename T>

bool wykobi::point_in_sphere ( const T & px, const T & py, const T & pz, const T & cx, const T & cy, const T & cz, const T & radius )

inline

point_in_three_point_circle() [1/3]

template<typename T>

bool wykobi::point_in_three_point_circle ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

point_in_three_point_circle() [2/3]

template<typename T>

bool wykobi::point_in_three_point_circle ( const point2d< T > & point, const triangle< T, 2 > triangle )

inline

point_in_three_point_circle() [3/3]

template<typename T>

bool wykobi::point_in_three_point_circle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

point_in_triangle() [1/4]

template<typename T>

bool wykobi::point_in_triangle ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

point_in_triangle() [2/4]

template<typename T>

bool wykobi::point_in_triangle ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

point_in_triangle() [3/4]

template<typename T>

bool wykobi::point_in_triangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

point_in_triangle() [4/4]

template<typename T>

bool wykobi::point_in_triangle ( const T & px, const T & py, const triangle< T, 2 > & triangle )

inline

point_of_reflection() [1/2]

template<typename T>

bool wykobi::point_of_reflection ( const segment< T, 2 > & segment, const point2d< T > & point1, const point2d< T > & point2, point2d< T > & reflection_point )

inline

point_of_reflection() [2/2]

template<typename T>

bool wykobi::point_of_reflection ( const T & sx1, const T & sy1, const T & sx2, const T & sy2, const T & p1x, const T & p1y, const T & p2x, const T & p2y, T & rpx, T & rpy )

inline

point_on_bezier() [1/4]

template<typename T>

bool wykobi::point_on_bezier ( const point2d< T > & point, const cubic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000, const T & fuzzy = T(Epsilon) )

inline

point_on_bezier() [2/4]

template<typename T>

bool wykobi::point_on_bezier ( const point2d< T > & point, const quadratic_bezier< T, 2 > & bezier, const std::size_t & steps = 1000, const T & fuzzy = T(Epsilon) )

inline

point_on_bezier() [3/4]

template<typename T>

bool wykobi::point_on_bezier ( const point3d< T > & point, const cubic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000, const T & fuzzy = T(Epsilon) )

inline

point_on_bezier() [4/4]

template<typename T>

bool wykobi::point_on_bezier ( const point3d< T > & point, const quadratic_bezier< T, 3 > & bezier, const std::size_t & steps = 1000, const T & fuzzy = T(Epsilon) )

inline

point_on_circle() [1/3]

template<typename T>

bool wykobi::point_on_circle ( const point2d< T > & point, const circle< T > & circle )

inline

point_on_circle() [2/3]

template<typename T>

bool wykobi::point_on_circle ( const T & px, const T & py, const circle< T > & circle )

inline

point_on_circle() [3/3]

template<typename T>

bool wykobi::point_on_circle ( const T & px, const T & py, const T & cx, const T & cy, const T & radius )

inline

point_on_polygon_edge() [1/2]

template<typename T>

bool wykobi::point_on_polygon_edge ( const point2d< T > & point, const polygon< T, 2 > & polygon )

inline

point_on_polygon_edge() [2/2]

template<typename T>

bool wykobi::point_on_polygon_edge ( const T & px, const T & py, const polygon< T, 2 > & polygon )

inline

point_on_quadix() [1/4]

template<typename T>

bool wykobi::point_on_quadix ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

point_on_quadix() [2/4]

template<typename T>

bool wykobi::point_on_quadix ( const point2d< T > & point, const quadix< T, 2 > & quadix )

inline

point_on_quadix() [3/4]

template<typename T>

bool wykobi::point_on_quadix ( const T & px, const T & py, const quadix< T, 2 > & quadix )

inline

point_on_quadix() [4/4]

template<typename T>

bool wykobi::point_on_quadix ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

point_on_ray() [1/4]

template<typename T>

bool wykobi::point_on_ray ( const point2d< T > & point, const ray< T, 2 > & ray )

inline

point_on_ray() [2/4]

template<typename T>

bool wykobi::point_on_ray ( const point3d< T > & point, const ray< T, 3 > & ray )

inline

point_on_ray() [3/4]

template<typename T>

bool wykobi::point_on_ray ( const T & px, const T & py, const T & ox, const T & oy, const T & dx, const T & dy )

inline

point_on_ray() [4/4]

template<typename T>

bool wykobi::point_on_ray ( const T & px, const T & py, const T & pz, const T & ox, const T & oy, const T & oz, const T & dx, const T & dy, const T & dz )

inline

point_on_rectangle() [1/4]

template<typename T>

bool wykobi::point_on_rectangle ( const point2d< T > & point, const rectangle< T > & rectangle )

inline

point_on_rectangle() [2/4]

template<typename T>

bool wykobi::point_on_rectangle ( const point2d< T > & point, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

point_on_rectangle() [3/4]

template<typename T>

bool wykobi::point_on_rectangle ( const T & px, const T & py, const rectangle< T > & rectangle )

inline

point_on_rectangle() [4/4]

template<typename T>

bool wykobi::point_on_rectangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2 )

inline

point_on_segment() [1/2]

template<typename T>

bool wykobi::point_on_segment ( const point2d< T > & point, const segment< T, 2 > & segment )

inline

point_on_segment() [2/2]

template<typename T>

bool wykobi::point_on_segment ( const point3d< T > & point, const segment< T, 3 > & segment )

inline

point_on_triangle() [1/4]

template<typename T>

bool wykobi::point_on_triangle ( const point2d< T > & point, const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

point_on_triangle() [2/4]

template<typename T>

bool wykobi::point_on_triangle ( const point2d< T > & point, const triangle< T, 2 > & triangle )

inline

point_on_triangle() [3/4]

template<typename T>

bool wykobi::point_on_triangle ( const T & px, const T & py, const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

point_on_triangle() [4/4]

template<typename T>

bool wykobi::point_on_triangle ( const T & px, const T & py, const triangle< T, 2 > & triangle )

inline

polygon_orientation()

template<typename T>

int wykobi::polygon_orientation ( const polygon< T, 2 > & polygon )

inline

polygon_within_box()

template<typename T>

bool wykobi::polygon_within_box ( const polygon< T, 3 > & polygon, const box< T, 3 > & box )

inline

polygon_within_rectangle()

template<typename T>

bool wykobi::polygon_within_rectangle ( const polygon< T, 2 > & polygon, const rectangle< T > & rectangle )

inline

positive_infinite_point2d()

template<typename T>

point2d< T > wykobi::positive_infinite_point2d ( )

inline

positive_infinite_point3d()

template<typename T>

point3d< T > wykobi::positive_infinite_point3d ( )

inline

positive_infinite_pointnd()

template<typename T, std::size_t D>

pointnd< T, D > wykobi::positive_infinite_pointnd ( )

inline

project_object() [1/6]

template<typename T>

circle< T > wykobi::project_object ( const circle< T > & circle, const T & angle, const T & distance )

inline

project_object() [2/6]

template<typename T>

point2d< T > wykobi::project_object ( const point2d< T > & point, const T & angle, const T & distance )

inline

project_object() [3/6]

template<typename T>

polygon< T, 2 > wykobi::project_object ( const polygon< T, 2 > & polygon, const T & angle, const T & distance )

inline

project_object() [4/6]

template<typename T>

quadix< T, 2 > wykobi::project_object ( const quadix< T, 2 > & quadix, const T & angle, const T & distance )

inline

project_object() [5/6]

template<typename T>

segment< T, 2 > wykobi::project_object ( const segment< T, 2 > & segment, const T & angle, const T & distance )

inline

project_object() [6/6]

template<typename T>

triangle< T, 2 > wykobi::project_object ( const triangle< T, 2 > & triangle, const T & angle, const T & distance )

inline

project_onto_axis() [1/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const box< T, 3 > & box, const line< T, 3 > & axis )

inline

project_onto_axis() [2/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const box< T, D > & box, const line< T, D > & axis )

inline

project_onto_axis() [3/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const circle< T > & circle, const line< T, 2 > & axis )

inline

project_onto_axis() [4/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const hypersphere< T, D > & sphere, const line< T, D > & axis )

inline

project_onto_axis() [5/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const point2d< T > & point, const line< T, 2 > & axis )

inline

project_onto_axis() [6/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const point3d< T > & point, const line< T, 3 > & axis )

inline

project_onto_axis() [7/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const pointnd< T, D > & point, const line< T, D > & axis )

inline

project_onto_axis() [8/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const polygon< T, 2 > & polygon, const line< T, 2 > & axis )

inline

project_onto_axis() [9/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const polygon< T, 3 > & polygon, const line< T, 3 > & axis )

inline

project_onto_axis() [10/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const polygon< T, D > & polygon, const line< T, D > & axis )

inline

project_onto_axis() [11/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const quadix< T, 2 > & quadix, const line< T, 2 > & axis )

inline

project_onto_axis() [12/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const quadix< T, 3 > & quadix, const line< T, 3 > & axis )

inline

project_onto_axis() [13/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const quadix< T, D > & quadix, const line< T, D > & axis )

inline

project_onto_axis() [14/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const rectangle< T > & rectangle, const line< T, 2 > & axis )

inline

project_onto_axis() [15/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const sphere< T > & sphere, const line< T, 3 > & axis )

inline

project_onto_axis() [16/18]

template<typename T>

segment< T, 2 > wykobi::project_onto_axis ( const triangle< T, 2 > & triangle, const line< T, 2 > & axis )

inline

project_onto_axis() [17/18]

template<typename T>

segment< T, 3 > wykobi::project_onto_axis ( const triangle< T, 3 > & triangle, const line< T, 3 > & axis )

inline

project_onto_axis() [18/18]

template<typename T, std::size_t D>

segment< T, D > wykobi::project_onto_axis ( const triangle< T, D > & triangle, const line< T, D > & axis )

inline

project_point() [1/7]

template<typename T>

point2d< T > wykobi::project_point ( const point2d< T > & point, const T & angle, const T & distance )

inline

project_point() [2/7]

template<typename T>

point2d< T > wykobi::project_point ( const point2d< T > & source_point, const point2d< T > & destination_point, const T & distance )

inline

project_point() [3/7]

template<typename T>

point3d< T > wykobi::project_point ( const point3d< T > & source_point, const point3d< T > & destination_point, const T & distance )

inline

project_point() [4/7]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::project_point ( const pointnd< T, D > & source_point, const pointnd< T, D > & destination_point, const T & distance )

inline

project_point() [5/7]

template<typename T>

void wykobi::project_point ( const T & px, const T & py, const T & angle, const T & distance, T & nx, T & ny )

inline

project_point() [6/7]

template<typename T>

void wykobi::project_point ( const T & srcx, const T & srcy, const T & destx, const T & desty, const T & dist, T & nx, T & ny )

inline

project_point() [7/7]

template<typename T>

void wykobi::project_point ( const T & srcx, const T & srcy, const T & srcz, const T & destx, const T & desty, const T & destz, const T & dist, T & nx, T & ny, T & nz )

inline

project_point0() [1/2]

template<typename T>

point2d< T > wykobi::project_point0 ( const point2d< T > & point, const T & distance )

inline

project_point0() [2/2]

template<typename T>

void wykobi::project_point0 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point135() [1/2]

template<typename T>

point2d< T > wykobi::project_point135 ( const point2d< T > & point, const T & distance )

inline

project_point135() [2/2]

template<typename T>

void wykobi::project_point135 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point180() [1/2]

template<typename T>

point2d< T > wykobi::project_point180 ( const point2d< T > & point, const T & distance )

inline

project_point180() [2/2]

template<typename T>

void wykobi::project_point180 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point225() [1/2]

template<typename T>

point2d< T > wykobi::project_point225 ( const point2d< T > & point, const T & distance )

inline

project_point225() [2/2]

template<typename T>

void wykobi::project_point225 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point270() [1/2]

template<typename T>

point2d< T > wykobi::project_point270 ( const point2d< T > & point, const T & distance )

inline

project_point270() [2/2]

template<typename T>

void wykobi::project_point270 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point315() [1/2]

template<typename T>

point2d< T > wykobi::project_point315 ( const point2d< T > & point, const T & distance )

inline

project_point315() [2/2]

template<typename T>

void wykobi::project_point315 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point45() [1/2]

template<typename T>

point2d< T > wykobi::project_point45 ( const point2d< T > & point, const T & distance )

inline

project_point45() [2/2]

template<typename T>

void wykobi::project_point45 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point90() [1/2]

template<typename T>

point2d< T > wykobi::project_point90 ( const point2d< T > & point, const T & distance )

inline

project_point90() [2/2]

template<typename T>

void wykobi::project_point90 ( const T & px, const T & py, const T & distance, T & nx, T & ny )

inline

project_point_t() [1/5]

template<typename T>

point2d< T > wykobi::project_point_t ( const point2d< T > & source_point, const point2d< T > & destination_point, const T & t )

inline

project_point_t() [2/5]

template<typename T>

point3d< T > wykobi::project_point_t ( const point3d< T > & source_point, const point3d< T > & destination_point, const T & t )

inline

project_point_t() [3/5]

template<typename T, std::size_t D>

pointnd< T, D > wykobi::project_point_t ( const pointnd< T, D > & source_point, const pointnd< T, D > & destination_point, const T & t )

inline

project_point_t() [4/5]

template<typename T>

void wykobi::project_point_t ( const T & srcx, const T & srcy, const T & destx, const T & desty, const T & t, T & nx, T & ny )

inline

project_point_t() [5/5]

template<typename T>

void wykobi::project_point_t ( const T & srcx, const T & srcy, const T & srcz, const T & destx, const T & desty, const T & destz, const T & t, T & nx, T & ny, T & nz )

inline

quadix_within_box() [1/2]

template<typename T>

bool wykobi::quadix_within_box ( const quadix< T, 3 > & quadix, const box< T, 3 > & box )

inline

quadix_within_box() [2/2]

template<typename T>

bool wykobi::quadix_within_box ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & x5, const T & y5, const T & z5, const T & x6, const T & y6, const T & z6 )

inline

quadix_within_rectangle() [1/2]

template<typename T>

bool wykobi::quadix_within_rectangle ( const quadix< T, 2 > & quadix, const rectangle< T > & rectangle )

inline

quadix_within_rectangle() [2/2]

template<typename T>

bool wykobi::quadix_within_rectangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & x5, const T & y5, const T & x6, const T & y6 )

inline

quadrant() [1/3]

template<typename T>

unsigned int wykobi::quadrant ( const point2d< T > & point )

inline

quadrant() [2/3]

template<typename T>

unsigned int wykobi::quadrant ( const T & angle )

inline

quadrant() [3/3]

template<typename T>

unsigned int wykobi::quadrant ( const T & x, const T & y )

inline

rectangle_corner()

template<typename T>

point2d< T > wykobi::rectangle_corner ( const rectangle< T > & rectangle, const std::size_t & corner_index )

inline

rectangle_to_rectangle_intersect() [1/2]

template<typename T>

bool wykobi::rectangle_to_rectangle_intersect ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

rectangle_to_rectangle_intersect() [2/2]

template<typename T>

bool wykobi::rectangle_to_rectangle_intersect ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

rectangle_within_rectangle() [1/2]

template<typename T>

bool wykobi::rectangle_within_rectangle ( const rectangle< T > & rectangle1, const rectangle< T > & rectangle2 )

inline

rectangle_within_rectangle() [2/2]

template<typename T>

bool wykobi::rectangle_within_rectangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

remove_consecutive_collinear_points() [1/2]

template<typename T, typename InputIterator, typename OutputIterator>

void wykobi::remove_consecutive_collinear_points ( const InputIterator begin, const InputIterator end, OutputIterator out )

inline

remove_consecutive_collinear_points() [2/2]

template<typename T>

polygon< T, 2 > wykobi::remove_consecutive_collinear_points ( const polygon< T, 2 > & polygon )

inline

reverse_segment() [1/2]

template<typename T>

segment< T, 2 > wykobi::reverse_segment ( const segment< T, 2 > & segment )

inline

reverse_segment() [2/2]

template<typename T>

segment< T, 3 > wykobi::reverse_segment ( const segment< T, 3 > & segment )

inline

right_shift() [1/4]

template<typename T>

quadix< T, 2 > wykobi::right_shift ( const quadix< T, 2 > & quadix, const std::size_t & shift )

inline

right_shift() [2/4]

template<typename T>

quadix< T, 3 > wykobi::right_shift ( const quadix< T, 3 > & quadix, const std::size_t & shift )

inline

right_shift() [3/4]

template<typename T>

triangle< T, 2 > wykobi::right_shift ( const triangle< T, 2 > & triangle, const std::size_t & shift )

inline

right_shift() [4/4]

template<typename T>

triangle< T, 3 > wykobi::right_shift ( const triangle< T, 3 > & triangle, const std::size_t & shift )

inline

robust_cartesian_angle() [1/4]

template<typename T>

T wykobi::robust_cartesian_angle ( const point2d< T > & point )

inline

robust_cartesian_angle() [2/4]

template<typename T>

T wykobi::robust_cartesian_angle ( const point2d< T > & point, const point2d< T > & origin )

inline

robust_cartesian_angle() [3/4]

template<typename T>

T wykobi::robust_cartesian_angle ( const T & x, const T & y )

inline

robust_cartesian_angle() [4/4]

template<typename T>

T wykobi::robust_cartesian_angle ( const T & x, const T & y, const T & ox, const T & oy )

inline

robust_collinear() [1/7]

template<typename T>

bool wykobi::robust_collinear ( const line< T, 2 > & line, const point2d< T > & point, const T & epsilon = T(Epsilon) )

inline

robust_collinear() [2/7]

template<typename T>

bool wykobi::robust_collinear ( const line< T, 3 > & line, const point3d< T > & point, const T & epsilon = T(Epsilon) )

inline

robust_collinear() [3/7]

template<typename T>

bool wykobi::robust_collinear ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const T & epsilon = T(Epsilon) )

inline

robust_collinear() [4/7]

template<typename T>

bool wykobi::robust_collinear ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const T & epsilon = T(Epsilon) )

inline

robust_collinear() [5/7]

template<typename T, std::size_t D>

bool wykobi::robust_collinear ( const pointnd< T, D > & point1, const pointnd< T, D > & point2, const pointnd< T, D > & point3 )

inline

robust_collinear() [6/7]

template<typename T>

bool wykobi::robust_collinear ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & epsilon = T(Epsilon) )

inline

robust_collinear() [7/7]

template<typename T>

bool wykobi::robust_collinear ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & epsilon = T(Epsilon) )

inline

robust_coplanar()

template<typename T>

bool wykobi::robust_coplanar ( const point3d< T > point1, const point3d< T > point2, const point3d< T > point3, const point3d< T > point4, const T & epsilon = T(Epsilon) )

inline

robust_orientation() [1/2]

template<typename T>

int wykobi::robust_orientation ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

robust_orientation() [2/2]

template<typename T>

int wykobi::robust_orientation ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & px, const T & py, const T & pz )

inline

robust_parallel() [1/10]

template<typename T>

bool wykobi::robust_parallel ( const line< T, 2 > & line, const segment< T, 2 > & segment, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [2/10]

template<typename T>

bool wykobi::robust_parallel ( const line< T, 2 > & line1, const line< T, 2 > & line2, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [3/10]

template<typename T>

bool wykobi::robust_parallel ( const line< T, 3 > & line, const segment< T, 3 > & segment, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [4/10]

template<typename T>

bool wykobi::robust_parallel ( const line< T, 3 > & line1, const line< T, 3 > & line2, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [5/10]

template<typename T>

bool wykobi::robust_parallel ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [6/10]

template<typename T>

bool wykobi::robust_parallel ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [7/10]

template<typename T>

bool wykobi::robust_parallel ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [8/10]

template<typename T>

bool wykobi::robust_parallel ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [9/10]

template<typename T>

bool wykobi::robust_parallel ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & epsilon = T(Epsilon) )

inline

robust_parallel() [10/10]

template<typename T>

bool wykobi::robust_parallel ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [1/9]

template<typename T>

bool wykobi::robust_perpendicular ( const line< T, 2 > & line, const segment< T, 2 > & segment, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [2/9]

template<typename T>

bool wykobi::robust_perpendicular ( const line< T, 2 > & line1, const line< T, 2 > & line2, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [3/9]

template<typename T>

bool wykobi::robust_perpendicular ( const line< T, 3 > & line1, const line< T, 3 > & line2, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [4/9]

template<typename T>

bool wykobi::robust_perpendicular ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [5/9]

template<typename T>

bool wykobi::robust_perpendicular ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [6/9]

template<typename T>

bool wykobi::robust_perpendicular ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [7/9]

template<typename T>

bool wykobi::robust_perpendicular ( const segment< T, 3 > & segment1, const segment< T, 3 > & segment2, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [8/9]

template<typename T>

bool wykobi::robust_perpendicular ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & epsilon = T(Epsilon) )

inline

robust_perpendicular() [9/9]

template<typename T>

bool wykobi::robust_perpendicular ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & epsilon = T(Epsilon) )

inline

rotate() [1/12]

template<typename T>

point2d< T > wykobi::rotate ( const T & rotation_angle, const point2d< T > & point )

inline

rotate() [2/12]

template<typename T>

point2d< T > wykobi::rotate ( const T & rotation_angle, const point2d< T > & point, const point2d< T > & opoint )

inline

rotate() [3/12]

template<typename T>

polygon< T, 2 > wykobi::rotate ( const T & rotation_angle, const polygon< T, 2 > & polygon )

inline

rotate() [4/12]

template<typename T>

polygon< T, 2 > wykobi::rotate ( const T & rotation_angle, const polygon< T, 2 > & polygon, const point2d< T > & opoint )

inline

rotate() [5/12]

template<typename T>

quadix< T, 2 > wykobi::rotate ( const T & rotation_angle, const quadix< T, 2 > & quadix )

inline

rotate() [6/12]

template<typename T>

quadix< T, 2 > wykobi::rotate ( const T & rotation_angle, const quadix< T, 2 > & quadix, const point2d< T > & opoint )

inline

rotate() [7/12]

template<typename T>

segment< T, 2 > wykobi::rotate ( const T & rotation_angle, const segment< T, 2 > & segment )

inline

rotate() [8/12]

template<typename T>

segment< T, 2 > wykobi::rotate ( const T & rotation_angle, const segment< T, 2 > & segment, const point2d< T > & opoint )

inline

rotate() [9/12]

template<typename T>

void wykobi::rotate ( const T & rotation_angle, const T & x, const T & y, const T & ox, const T & oy, T & nx, T & ny )

inline

rotate() [10/12]

template<typename T>

void wykobi::rotate ( const T & rotation_angle, const T & x, const T & y, T & nx, T & ny )

inline

rotate() [11/12]

template<typename T>

triangle< T, 2 > wykobi::rotate ( const T & rotation_angle, const triangle< T, 2 > & triangle )

inline

rotate() [12/12]

template<typename T>

triangle< T, 2 > wykobi::rotate ( const T & rotation_angle, const triangle< T, 2 > & triangle, const point2d< T > & opoint )

inline

scale() [1/16]

template<typename T>

circle< T > wykobi::scale ( const T & dr, const circle< T > & circle )

inline

scale() [2/16]

template<typename T>

sphere< T > wykobi::scale ( const T & dr, const sphere< T > & sphere )

inline

scale() [3/16]

template<typename T>

line< T, 2 > wykobi::scale ( const T & dx, const T & dy, const line< T, 2 > & line )

inline

scale() [4/16]

template<typename T>

point2d< T > wykobi::scale ( const T & dx, const T & dy, const point2d< T > & point )

inline

scale() [5/16]

template<typename T>

polygon< T, 2 > wykobi::scale ( const T & dx, const T & dy, const polygon< T, 2 > & polygon )

inline

scale() [6/16]

template<typename T>

quadix< T, 2 > wykobi::scale ( const T & dx, const T & dy, const quadix< T, 2 > & quadix )

inline

scale() [7/16]

template<typename T>

rectangle< T > wykobi::scale ( const T & dx, const T & dy, const rectangle< T > & rectangle )

inline

scale() [8/16]

template<typename T>

segment< T, 2 > wykobi::scale ( const T & dx, const T & dy, const segment< T, 2 > & segment )

inline

scale() [9/16]

template<typename T>

box< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const box< T, 3 > & box )

inline

scale() [10/16]

template<typename T>

line< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const line< T, 3 > & line )

inline

scale() [11/16]

template<typename T>

point3d< T > wykobi::scale ( const T & dx, const T & dy, const T & dz, const point3d< T > & point )

inline

scale() [12/16]

template<typename T>

polygon< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const polygon< T, 3 > & polygon )

inline

scale() [13/16]

template<typename T>

quadix< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const quadix< T, 3 > & quadix )

inline

scale() [14/16]

template<typename T>

segment< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const segment< T, 3 > & segment )

inline

scale() [15/16]

template<typename T>

triangle< T, 3 > wykobi::scale ( const T & dx, const T & dy, const T & dz, const triangle< T, 3 > & triangle )

inline

scale() [16/16]

template<typename T>

triangle< T, 2 > wykobi::scale ( const T & dx, const T & dy, const triangle< T, 2 > & triangle )

inline

segment_mid_point() [1/8]

template<typename T>

point2d< T > wykobi::segment_mid_point ( const point2d< T > & point1, const point2d< T > & point2 )

inline

segment_mid_point() [2/8]

template<typename T>

point3d< T > wykobi::segment_mid_point ( const point3d< T > & point1, const point3d< T > & point2 )

inline

segment_mid_point() [3/8]

template<typename T>

point2d< T > wykobi::segment_mid_point ( const segment< T, 2 > & segment )

inline

segment_mid_point() [4/8]

template<typename T>

void wykobi::segment_mid_point ( const segment< T, 2 > & segment, T & midx, T & midy )

inline

segment_mid_point() [5/8]

template<typename T>

point3d< T > wykobi::segment_mid_point ( const segment< T, 3 > & segment )

inline

segment_mid_point() [6/8]

template<typename T>

void wykobi::segment_mid_point ( const segment< T, 3 > & segment, T & midx, T & midy, T & midz )

inline

segment_mid_point() [7/8]

template<typename T>

void wykobi::segment_mid_point ( const T & x1, const T & y1, const T & x2, const T & y2, T & midx, T & midy )

inline

segment_mid_point() [8/8]

template<typename T>

void wykobi::segment_mid_point ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, T & midx, T & midy, T & midz )

inline

segment_within_box() [1/2]

template<typename T>

bool wykobi::segment_within_box ( const segment< T, 3 > & segment, const box< T, 3 > & box )

inline

segment_within_box() [2/2]

template<typename T>

bool wykobi::segment_within_box ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4 )

inline

segment_within_rectangle() [1/2]

template<typename T>

bool wykobi::segment_within_rectangle ( const segment< T, 2 > & segment, const rectangle< T > & rectangle )

inline

segment_within_rectangle() [2/2]

template<typename T>

bool wykobi::segment_within_rectangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

shorten_segment() [1/4]

template<typename T>

segment< T, 2 > wykobi::shorten_segment ( const segment< T, 2 > & segment, const T & amount )

inline

shorten_segment() [2/4]

template<typename T>

segment< T, 3 > wykobi::shorten_segment ( const segment< T, 3 > & segment, const T & amount )

inline

shorten_segment() [3/4]

template<typename T>

void wykobi::shorten_segment ( T & x1, T & y1, T & x2, T & y2, const T & amount )

inline

shorten_segment() [4/4]

template<typename T>

void wykobi::shorten_segment ( T & x1, T & y1, T & z1, T & x2, T & y2, T & z2, const T & amount )

inline

signed_area() [1/4]

template<typename T>

T wykobi::signed_area ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

signed_area() [2/4]

template<typename T>

T wykobi::signed_area ( const point2d< T > & point1, const point2d< T > & point2, const T & px, const T & py )

inline

signed_area() [3/4]

template<typename T>

T wykobi::signed_area ( const segment< T, 2 > & segment, const point2d< T > & point )

inline

signed_area() [4/4]

template<typename T>

T wykobi::signed_area ( const T & x1, const T & y1, const T & x2, const T & y2, const T & px, const T & py )

inline

signed_volume() [1/4]

template<typename T>

T wykobi::signed_volume ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const point3d< T > & point4 )

inline

signed_volume() [2/4]

template<typename T>

T wykobi::signed_volume ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3, const T & px, const T & py, const T & pz )

inline

signed_volume() [3/4]

template<typename T>

T wykobi::signed_volume ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & px, const T & py, const T & pz )

inline

signed_volume() [4/4]

template<typename T>

T wykobi::signed_volume ( const triangle< T, 3 > & triangle, const point3d< T > & point )

inline

simple_intersect() [1/3]

template<typename T>

bool wykobi::simple_intersect ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3, const point2d< T > & point4 )

inline

simple_intersect() [2/3]

template<typename T>

bool wykobi::simple_intersect ( const segment< T, 2 > & segment1, const segment< T, 2 > & segment2 )

inline

simple_intersect() [3/3]

template<typename T>

bool wykobi::simple_intersect ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4 )

inline

simplex_to_bezier_intersect() [1/2]

template<typename T, unsigned int Dimension, typename Bezier, typename Iterator>

bool wykobi::simplex_to_bezier_intersect ( const Iterator & begin, const Iterator & end, const Bezier & bezier, const std::size_t & steps )

inline

simplex_to_bezier_intersect() [2/2]

template<typename T, unsigned int Dimension, typename Simplex, typename Bezier>

bool wykobi::simplex_to_bezier_intersect ( const Simplex & simplex, const Bezier & bezier, const std::size_t & steps )

inline

sin()

template<typename T>

T wykobi::sin ( const T & value )

inline

span_length() [1/2]

template<typename T>

T wykobi::span_length ( const box< T, 3 > & box )

inline

span_length() [2/2]

template<typename T>

T wykobi::span_length ( const rectangle< T > & rectangle )

inline

sphere_within_box() [1/2]

template<typename T>

bool wykobi::sphere_within_box ( const sphere< T > & sphere, const box< T, 3 > & box )

inline

sphere_within_box() [2/2]

template<typename T>

bool wykobi::sphere_within_box ( const T & x, const T & y, const T & z, const T & radius, const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2 )

inline

sqr()

template<typename T>

T wykobi::sqr ( const T & val )

inline

sqrt()

template<typename T>

T wykobi::sqrt ( const T & val )

inline

swap() [1/3]

template<typename T>

void wykobi::swap ( point2d< T > & point1, point2d< T > & point2 )

inline

swap() [2/3]

template<typename T>

void wykobi::swap ( point3d< T > & point1, point3d< T > & point2 )

inline

swap() [3/3]

template<typename T, std::size_t D>

void wykobi::swap ( pointnd< T, D > & point1, pointnd< T, D > & point2 )

inline

symmedian_point() [1/2]

template<typename T>

point2d< T > wykobi::symmedian_point ( const triangle< T, 2 > & triangle )

inline

symmedian_point() [2/2]

template<typename T>

point3d< T > wykobi::symmedian_point ( const triangle< T, 3 > & triangle )

inline

tan()

template<typename T>

T wykobi::tan ( const T & value )

inline

tangent_line()

template<typename T>

line< T, 2 > wykobi::tangent_line ( const circle< T > & circle, const point2d< T > & point )

inline

torricelli_point() [1/3]

template<typename T>

point2d< T > wykobi::torricelli_point ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

torricelli_point() [2/3]

template<typename T>

void wykobi::torricelli_point ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, T & px, T & py )

inline

torricelli_point() [3/3]

template<typename T>

point2d< T > wykobi::torricelli_point ( const triangle< T, 2 > & triangle )

inline

translate() [1/48]

template<typename T>

box< T, 3 > wykobi::translate ( const T & delta, const box< T, 3 > & box )

inline

translate() [2/48]

template<typename T>

circle< T > wykobi::translate ( const T & delta, const circle< T > & circle )

inline

translate() [3/48]

template<typename T>

line< T, 2 > wykobi::translate ( const T & delta, const line< T, 2 > & line )

inline

translate() [4/48]

template<typename T>

line< T, 3 > wykobi::translate ( const T & delta, const line< T, 3 > & line )

inline

translate() [5/48]

template<typename T>

point2d< T > wykobi::translate ( const T & delta, const point2d< T > & point )

inline

translate() [6/48]

template<typename T>

point3d< T > wykobi::translate ( const T & delta, const point3d< T > & point )

inline

translate() [7/48]

template<typename T>

polygon< T, 2 > wykobi::translate ( const T & delta, const polygon< T, 2 > & polygon )

inline

translate() [8/48]

template<typename T>

polygon< T, 3 > wykobi::translate ( const T & delta, const polygon< T, 3 > & polygon )

inline

translate() [9/48]

template<typename T>

quadix< T, 2 > wykobi::translate ( const T & delta, const quadix< T, 2 > & quadix )

inline

translate() [10/48]

template<typename T>

quadix< T, 3 > wykobi::translate ( const T & delta, const quadix< T, 3 > & quadix )

inline

translate() [11/48]

template<typename T>

rectangle< T > wykobi::translate ( const T & delta, const rectangle< T > & rectangle )

inline

translate() [12/48]

template<typename T>

segment< T, 2 > wykobi::translate ( const T & delta, const segment< T, 2 > & segment )

inline

translate() [13/48]

template<typename T>

segment< T, 3 > wykobi::translate ( const T & delta, const segment< T, 3 > & segment )

inline

translate() [14/48]

template<typename T>

sphere< T > wykobi::translate ( const T & delta, const sphere< T > & sphere )

inline

translate() [15/48]

template<typename T>

triangle< T, 2 > wykobi::translate ( const T & delta, const triangle< T, 2 > & triangle )

inline

translate() [16/48]

template<typename T>

triangle< T, 3 > wykobi::translate ( const T & delta, const triangle< T, 3 > & triangle )

inline

translate() [17/48]

template<typename T>

circle< T > wykobi::translate ( const T & dx, const T & dy, const circle< T > & circle )

inline

translate() [18/48]

template<typename T>

line< T, 2 > wykobi::translate ( const T & dx, const T & dy, const line< T, 2 > & line )

inline

translate() [19/48]

template<typename T>

point2d< T > wykobi::translate ( const T & dx, const T & dy, const point2d< T > & point )

inline

translate() [20/48]

template<typename T>

polygon< T, 2 > wykobi::translate ( const T & dx, const T & dy, const polygon< T, 2 > & polygon )

inline

translate() [21/48]

template<typename T>

quadix< T, 2 > wykobi::translate ( const T & dx, const T & dy, const quadix< T, 2 > & quadix )

inline

translate() [22/48]

template<typename T>

rectangle< T > wykobi::translate ( const T & dx, const T & dy, const rectangle< T > & rectangle )

inline

translate() [23/48]

template<typename T>

segment< T, 2 > wykobi::translate ( const T & dx, const T & dy, const segment< T, 2 > & segment )

inline

translate() [24/48]

template<typename T>

box< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const box< T, 3 > & box )

inline

translate() [25/48]

template<typename T>

line< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const line< T, 3 > & line )

inline

translate() [26/48]

template<typename T>

point3d< T > wykobi::translate ( const T & dx, const T & dy, const T & dz, const point3d< T > & point )

inline

translate() [27/48]

template<typename T>

polygon< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const polygon< T, 3 > & polygon )

inline

translate() [28/48]

template<typename T>

quadix< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const quadix< T, 3 > & quadix )

inline

translate() [29/48]

template<typename T>

segment< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const segment< T, 3 > & segment )

inline

translate() [30/48]

template<typename T>

sphere< T > wykobi::translate ( const T & dx, const T & dy, const T & dz, const sphere< T > & sphere )

inline

translate() [31/48]

template<typename T>

triangle< T, 3 > wykobi::translate ( const T & dx, const T & dy, const T & dz, const triangle< T, 3 > & triangle )

inline

translate() [32/48]

template<typename T>

triangle< T, 2 > wykobi::translate ( const T & dx, const T & dy, const triangle< T, 2 > & triangle )

inline

translate() [33/48]

template<typename T>

circle< T > wykobi::translate ( const vector2d< T > & v, const circle< T > & circle )

inline

translate() [34/48]

template<typename T>

line< T, 2 > wykobi::translate ( const vector2d< T > & v, const line< T, 2 > & line )

inline

translate() [35/48]

template<typename T>

point2d< T > wykobi::translate ( const vector2d< T > & v, const point2d< T > & point )

inline

translate() [36/48]

template<typename T>

polygon< T, 2 > wykobi::translate ( const vector2d< T > & v, const polygon< T, 2 > & polygon )

inline

translate() [37/48]

template<typename T>

quadix< T, 2 > wykobi::translate ( const vector2d< T > & v, const quadix< T, 2 > & quadix )

inline

translate() [38/48]

template<typename T>

rectangle< T > wykobi::translate ( const vector2d< T > & v, const rectangle< T > & rectangle )

inline

translate() [39/48]

template<typename T>

segment< T, 2 > wykobi::translate ( const vector2d< T > & v, const segment< T, 2 > & segment )

inline

translate() [40/48]

template<typename T>

triangle< T, 2 > wykobi::translate ( const vector2d< T > & v, const triangle< T, 2 > & triangle )

inline

translate() [41/48]

template<typename T>

box< T, 3 > wykobi::translate ( const vector3d< T > & v, const box< T, 3 > & box )

inline

translate() [42/48]

template<typename T>

line< T, 3 > wykobi::translate ( const vector3d< T > & v, const line< T, 3 > & line )

inline

translate() [43/48]

template<typename T>

point3d< T > wykobi::translate ( const vector3d< T > & v, const point3d< T > & point )

inline

translate() [44/48]

template<typename T>

polygon< T, 3 > wykobi::translate ( const vector3d< T > & v, const polygon< T, 3 > & polygon )

inline

translate() [45/48]

template<typename T>

quadix< T, 3 > wykobi::translate ( const vector3d< T > & v, const quadix< T, 3 > & quadix )

inline

translate() [46/48]

template<typename T>

segment< T, 3 > wykobi::translate ( const vector3d< T > & v, const segment< T, 3 > & segment )

inline

translate() [47/48]

template<typename T>

sphere< T > wykobi::translate ( const vector3d< T > & v, const sphere< T > & sphere )

inline

translate() [48/48]

template<typename T>

triangle< T, 3 > wykobi::translate ( const vector3d< T > & v, const triangle< T, 3 > & triangle )

inline

transpose() [1/4]

template<typename T>

void wykobi::transpose ( matrix< T, 1, 1 > & matrix )

inline

transpose() [2/4]

template<typename T>

void wykobi::transpose ( matrix< T, 2, 2 > & matrix )

inline

transpose() [3/4]

template<typename T>

void wykobi::transpose ( matrix< T, 3, 3 > & matrix )

inline

transpose() [4/4]

template<typename T>

void wykobi::transpose ( matrix< T, 4, 4 > & matrix )

inline

triangle_bisector() [1/2]

template<typename T>

line< T, 2 > wykobi::triangle_bisector ( const triangle< T, 2 > & triangle, const std::size_t & bisector )

inline

triangle_bisector() [2/2]

template<typename T>

line< T, 3 > wykobi::triangle_bisector ( const triangle< T, 3 > & triangle, const std::size_t & bisector )

inline

triangle_external_bisector() [1/2]

template<typename T>

line< T, 2 > wykobi::triangle_external_bisector ( const triangle< T, 2 > & triangle, const std::size_t & corner, const std::size_t & opposing_corner )

inline

triangle_external_bisector() [2/2]

template<typename T>

line< T, 3 > wykobi::triangle_external_bisector ( const triangle< T, 3 > & triangle, const std::size_t & corner, const std::size_t & opposing_corner )

inline

triangle_median() [1/2]

template<typename T>

line< T, 2 > wykobi::triangle_median ( const triangle< T, 2 > & triangle, const std::size_t & median )

inline

triangle_median() [2/2]

template<typename T>

line< T, 3 > wykobi::triangle_median ( const triangle< T, 3 > & triangle, const std::size_t & median )

inline

triangle_symmedian() [1/2]

template<typename T>

line< T, 2 > wykobi::triangle_symmedian ( const triangle< T, 2 > & triangle, const std::size_t & symmedian )

inline

triangle_symmedian() [2/2]

template<typename T>

line< T, 3 > wykobi::triangle_symmedian ( const triangle< T, 3 > & triangle, const std::size_t & symmedian )

inline

triangle_within_box() [1/2]

template<typename T>

bool wykobi::triangle_within_box ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3, const T & x4, const T & y4, const T & z4, const T & x5, const T & y5, const T & z5 )

inline

triangle_within_box() [2/2]

template<typename T>

bool wykobi::triangle_within_box ( const triangle< T, 3 > & triangle, const box< T, 3 > & box )

inline

triangle_within_rectangle() [1/2]

template<typename T>

bool wykobi::triangle_within_rectangle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3, const T & x4, const T & y4, const T & x5, const T & y5 )

inline

triangle_within_rectangle() [2/2]

template<typename T>

bool wykobi::triangle_within_rectangle ( const triangle< T, 2 > & triangle, const rectangle< T > & rectangle )

inline

trilateration() [1/2]

template<typename T>

point2d< T > wykobi::trilateration ( const circle< T > & c0, const circle< T > & c1, const circle< T > & c2 )

inline

trilateration() [2/2]

template<typename T>

bool wykobi::trilateration ( const T & c0x, const T & c0y, const T & c0r, const T & c1x, const T & c1y, const T & c1r, const T & c2x, const T & c2y, const T & c2r, T & px, T & py )

inline

triple_product()

template<typename T>

T wykobi::triple_product ( const vector3d< T > & v1, const vector3d< T > & v2, const vector3d< T > & v3 )

inline

update_box()

template<typename T>

box< T, 3 > wykobi::update_box ( const box< T, 3 > & box, point3d< T > & point )

inline

update_circle()

template<typename T>

circle< T > wykobi::update_circle ( const circle< T > & circle, point2d< T > & point )

inline

update_rectangle()

template<typename T>

rectangle< T > wykobi::update_rectangle ( const rectangle< T > & rectangle, point2d< T > & point )

inline

update_sphere()

template<typename T>

sphere< T > wykobi::update_sphere ( const sphere< T > & sphere, point3d< T > & point )

inline

vector_norm() [1/3]

template<typename T>

T wykobi::vector_norm ( const vector2d< T > & v )

inline

vector_norm() [2/3]

template<typename T>

T wykobi::vector_norm ( const vector3d< T > & v )

inline

vector_norm() [3/3]

template<typename T, std::size_t D>

T wykobi::vector_norm ( const vectornd< T, D > & v )

inline

vertex_angle() [1/4]

template<typename T>

T wykobi::vertex_angle ( const point2d< T > & point1, const point2d< T > & point2, const point2d< T > & point3 )

inline

vertex_angle() [2/4]

template<typename T>

T wykobi::vertex_angle ( const point3d< T > & point1, const point3d< T > & point2, const point3d< T > & point3 )

inline

vertex_angle() [3/4]

template<typename T>

T wykobi::vertex_angle ( const T & x1, const T & y1, const T & x2, const T & y2, const T & x3, const T & y3 )

inline

vertex_angle() [4/4]

template<typename T>

T wykobi::vertex_angle ( const T & x1, const T & y1, const T & z1, const T & x2, const T & y2, const T & z2, const T & x3, const T & y3, const T & z3 )

inline

vertex_is_ear()

template<typename T>

bool wykobi::vertex_is_ear ( const std::size_t & index, const polygon< T, 2 > & polygon )

inline

vertex_triangle()

template<typename T>

triangle< T, 2 > wykobi::vertex_triangle ( const std::size_t & index, const polygon< T, 2 > polygon )

inline

vertical_mirror()

template<typename T>

T wykobi::vertical_mirror ( const T & angle )

inline

Variable Documentation

AboveOrientation

const int wykobi::AboveOrientation = +1

basic_color

const GLfloat wykobi::basic_color[14][3]

Initial value:

= {
{0.0 / 255.0, 0.0 / 255.0, 0.0 / 255.0},
{255.0 / 255.0, 0.0 / 255.0, 0.0 / 255.0},
{0.0 / 255.0, 255.0 / 255.0, 0.0 / 255.0},
{0.0 / 255.0, 0.0 / 255.0, 255.0 / 255.0},
{255.0 / 255.0, 0.0 / 255.0, 255.0 / 255.0},
{0.0 / 255.0, 255.0 / 255.0, 255.0 / 255.0},
{0.0 / 255.0, 0.0 / 255.0, 255.0 / 255.0},
{255.0 / 255.0, 255.0 / 255.0, 0.0 / 255.0},
{0.0 / 255.0, 255.0 / 255.0, 255.0 / 255.0},
{255.0 / 255.0, 192.0 / 255.0, 64.0 / 255.0},
{255.0 / 255.0, 0.0 / 255.0, 255.0 / 255.0},
{255.0 / 255.0, 0.0 / 255.0, 0.0 / 255.0},
{255.0 / 255.0, 255.0 / 255.0, 255.0 / 255.0},
{255.0 / 255.0, 255.0 / 255.0, 0.0 / 255.0}}

BelowOrientation

const int wykobi::BelowOrientation = -1

CLIP_BOTTOM

const int wykobi::CLIP_BOTTOM = 1

CLIP_LEFT

const int wykobi::CLIP_LEFT = 4

CLIP_RIGHT

const int wykobi::CLIP_RIGHT = 8

CLIP_TOP

const int wykobi::CLIP_TOP = 2

Clockwise

const int wykobi::Clockwise = -1

Cocircular

const int wykobi::Cocircular = 0

CollinearOrientation

const int wykobi::CollinearOrientation = 0

CoplanarOrientation

const int wykobi::CoplanarOrientation = 0

Cospherical

const int wykobi::Cospherical = 0

CounterClockwise

const int wykobi::CounterClockwise = +1

LeftHandSide

const int wykobi::LeftHandSide = +1

PointInside

const int wykobi::PointInside = +1

PointOutside

const int wykobi::PointOutside = -1

RightHandSide

const int wykobi::RightHandSide = -1