| MADNESS
    version 0.9
    | 
A cone (3 dimensions) More...
#include <sdf_shape_3D.h>


| Public Member Functions | |
| SDFCone (const double c, const coord_3d &apex, const coord_3d &direc) | |
| Constructor for cone.  More... | |
| double | sdf (const coord_3d &pt) const | 
| Computes the normal distance.  More... | |
| coord_3d | grad_sdf (const coord_3d &pt) const | 
| Computes the gradient of the SDF.  More... | |
|  Public Member Functions inherited from madness::SignedDFInterface< 3 > | |
| virtual double | sdf (const Vector< double, NDIM > &x) const =0 | 
| Returns the signed distance from the surface,.  More... | |
| virtual Vector< double, NDIM > | grad_sdf (const Vector< double, NDIM > &x) const =0 | 
| Returns the gradient of the signed distance from the surface (i.e., dsdf(x)/dx[i] )  More... | |
| virtual | ~SignedDFInterface () | 
| Protected Attributes | |
| const coord_3d | apex | 
| The apex.  More... | |
| const double | c | 
| The radius.  More... | |
| const coord_3d | dir | 
| The direction of the axis, from the apex INSIDE.  More... | |
A cone (3 dimensions)
The cone is defined by
![\[ \sqrt{x^2 + y^2} - c * z = 0 \]](form_228.png) 
where  is along the cone's axis.
 is along the cone's axis. 
Constructor for cone.
| c | Parameter  in the definition of the cone | 
| apex | Apex of cone | 
| direc | Oriented axis of the cone | 
Computes the gradient of the SDF.
| pt | Point at which to compute the gradient | 
References MADNESS_EXCEPTION.
| 
 | inline | 
Computes the normal distance.
This SDF naively uses contours, and should be improved before serious usage.
| pt | Point at which to compute the distance from the surface | 
References sqrt().
| 
 | protected | 
The apex.
| 
 | protected | 
The radius.
| 
 | protected | 
The direction of the axis, from the apex INSIDE.
 1.8.8
 1.8.8