surface.cpp File Reference

surfaces of constant negative curvature More...

#include "hyper.h"

Classes
struct	hr::surface::dexp_origin

Namespaces
	hr

Macros
#define	CAP_KUEN_MAP   0

Enumerations
enum	eShape {   dsNone, dsTractricoid, dsDini, dsKuen,   dsHyperlike, dsHyperboloid, dsHemisphere, dsCrystal }

Functions
ld	hr::surface::sech (ld d)
ld	hr::surface::f (ld x)
int	hr::surface::kuen_branch (ld v, ld u)
ld	hr::surface::integral (ld x)
hyperpoint	hr::surface::coord (hyperpoint h)
ld	hr::surface::det (hyperpoint h1, hyperpoint h2, hyperpoint h3)
hyperpoint	hr::surface::coord_derivative (hyperpoint h, int cc)
ld	hr::surface::compute_curvature (hyperpoint at)
hyperpoint	hr::surface::shape_origin ()
ld	hr::surface::hyperlike_bound ()
bool	hr::surface::flag_clamp_min (ld &coord, ld minv)
bool	hr::surface::flag_clamp_max (ld &coord, ld maxv)
bool	hr::surface::flag_clamp (ld &coord, ld minv, ld maxv)
bool	hr::surface::flag_clamp_sym (ld &coord, ld v)
int	hr::surface::surface_branch (hyperpoint p)
bool	hr::surface::inbound (ld &x, ld &y)
bool	hr::surface::is_inbound (hyperpoint h)
dexp_data	hr::surface::dexp (hyperpoint p, hyperpoint t)
dexp_data	hr::surface::map_to_surface (hyperpoint p, const dexp_origin &dor)
transmatrix	hr::surface::create_M_matrix (hyperpoint zero, hyperpoint v1)
dexp_origin	hr::surface::at_zero (hyperpoint zero, transmatrix start)
dexp_origin	hr::surface::at_other (dexp_origin &o1, hyperpoint h)
void	hr::surface::addTriangleV (rug::rugpoint *t1, rug::rugpoint *t2, rug::rugpoint *t3, ld len=1)
hyperpoint	hr::surface::kuen_cross (ld v, ld u)
ld	hr::surface::kuen_hypot (ld v, ld u)
void	hr::surface::full_mesh ()
char	hr::surface::rchar (int id)
void	hr::surface::run_hyperlike ()
void	hr::surface::run_kuen ()
template<class T >
void	hr::surface::run_function (T f)
void	hr::surface::run_other ()
EX void	hr::surface::run_shape (eShape s)
void	hr::surface::cancel_shape ()
EX void	hr::surface::show_surfaces ()
int	hr::surface::surface_args ()
void	hr::surface::display_coverage ()

Variables
string	hr::surface::shape_name []
EX eShape	hr::surface::sh
hyperpoint	hr::surface::unit_vector [3] = {hpxyz(1,0,0), hpxyz(0,1,0), hpxyz(0,0,1)}
ld	hr::surface::last_int_of = 0
ld	hr::surface::last_int = 0
EX ld	hr::surface::dini_b = .15
EX ld	hr::surface::hyper_b = 1
ld	hr::surface::epsd = 1e-5
int	hr::surface::precision = 100
int	hr::surface::dexp_colors [16]
int	hr::surface::dexp_comb_colors [16]
int	hr::surface::coverage_style
vector< pair< hyperpoint, int > >	hr::surface::coverage
cell *	hr::surface::coverage_center
transmatrix	hr::surface::coverage_matrix
auto	hr::surface::surface_hook = addHook(hooks_args, 100, surface_args)
auto	hr::surface::surface_hook2 = addHook(hooks_frame, 0, display_coverage)

Detailed Description

surfaces of constant negative curvature

See http://webmath2.unito.it/paginepersonali/sergio.console/CurveSuperfici/AG15.pdf for a nice reference

Variable Documentation

shape_name

string hr::surface::shape_name[]

Initial value:

= { "hypersian rug", "tractricoid", "Dini's surface", "Kuen surface", "concave barrel",
  "hyperboloid", "hemisphere", "crystal" }

dexp_colors

int hr::surface::dexp_colors[16]

Initial value:

= { 
  0xFF0000, 0x00FF00, 0x0000FF, 0xFFFF00 }

dexp_comb_colors

int hr::surface::dexp_comb_colors[16]

Initial value:

= { 
  0x000000, 0x0000FF, 0x00FF00, 0x00FFFF,
  0xFF0000, 0xFF00FF, 0xFFFF00, 0xFFFFFF,
  0xFFD500, 
  0x123456, 0x123456, 0x123456, 0x123456, 0x123456, 0x123456, 0x123456
   }