N-dimensional ball (solid sphere). More...
#include <hypersphere.hpp>
Inheritance diagram for mc::domains::Hypersphere< dim >:
Collaboration diagram for mc::domains::Hypersphere< dim >:
Public Member Functions | |
| Hypersphere (double rad) | |
| Construct a hypersphere of given radius. | |
| mc::geom::Bounds< dim > | getBounds () const override |
| Get the axis-aligned bounding box (hypercube). | |
| double | getBoxVolume () const override |
| Get the volume of the bounding hypercube. | |
| bool | isInside (const mc::geom::Point< dim > &point) const override |
| Test if a point is inside the hypersphere. | |
 Public Member Functions inherited from mc::domains::IntegrationDomain< dim > | |
| virtual | ~IntegrationDomain ()=default |
| Virtual destructor for proper cleanup of derived classes. | |
Detailed Description
template<size_t dim>
class mc::domains::Hypersphere< dim >
class mc::domains::Hypersphere< dim >
N-dimensional ball (solid sphere).
- Template Parameters
-
dim Dimensionality (e.g., 2 for disk, 3 for ball, N for hypersphere).
Represents a closed ball of specified radius centered at the origin: B = {x ∈ ℝⁿ : ||x|| ≤ r}
Uses the closed-form volume formula: V = (π^(n/2) / Γ(n/2 + 1)) * r^n
Bounding box is a hypercube [-r, r]ⁿ.
Definition at line 30 of file hypersphere.hpp.
Constructor & Destructor Documentation
◆ Hypersphere()
template<size_t dim>
| mc::domains::Hypersphere< dim >::Hypersphere | ( | double | rad | ) |
Construct a hypersphere of given radius.
- Parameters
-
rad Radius of the sphere (must be > 0).
Member Function Documentation
◆ getBounds()
template<size_t dim>
|
overridevirtual |
Get the axis-aligned bounding box (hypercube).
- Returns
- Bounds [-radius, radius] for each dimension.
Implements mc::domains::IntegrationDomain< dim >.
◆ getBoxVolume()
template<size_t dim>
|
overridevirtual |
Get the volume of the bounding hypercube.
- Returns
- (2*radius)^dim
Implements mc::domains::IntegrationDomain< dim >.
◆ isInside()
template<size_t dim>
|
overridevirtual |
Test if a point is inside the hypersphere.
- Parameters
-
point Point to test.
- Returns
- true if ||point|| ≤ radius; false otherwise.
Implements mc::domains::IntegrationDomain< dim >.
The documentation for this class was generated from the following file:
- src/montecarlo/domains/hypersphere.hpp
