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Represent a sphere in D-dimensions.
Examples: XYZR Decorator, grid space, cube, filter close pairs, merge tree, rigid brownian dynamics, kmeans, analyze convergence, optimize balls, connectivity restraint, basic geometry
Public Member Functions | |
| SphereD (const VectorD< D > ¢er, double radius) | |
| const VectorD< D > & | get_center () const |
| bool | get_contains (const SphereD< D > &o) const |
| Return true if this sphere contains the other one. | |
| bool | get_contains (const VectorD< D > &p) const |
| Return true if the point is in or on the surface of the sphere. | |
| unsigned int | get_dimension () const |
| double | get_radius () const |
| void | show (std::ostream &out=std::cout) const |
Simple geometric IO | |
These functions write geometry to text files, one line per geometric primitive. Each line has the form “x y z” for points or “x y z r” for spheres. We can easily add general dimension support if requested.. Lines beginning with "" are treated as comments. | |
| void | write_spheres (const Sphere3Ds &vs, base::TextOutput out) |
| Write a set of 3d spheres to a file. | |
| Sphere3Ds | read_spheres (base::TextInput input) |
| Read a set of 3d spheres from a file. | |
Vector Generators | |
These functions generate vector objects. Some of the methods, those with random in their name, generate a single vector chosen uniformly from the specified domain. Others, the cover methods, generate a set of points distributed (somewhat) evenly over the domain. | |
| template<int D> | |
| VectorD< D > | get_random_vector_in (const SphereD< D > &s) |
| Generate a random vector in a sphere with uniform density. | |
| VectorD< 2 > | get_random_vector_in (const SphereD< 2 > &s) |
| template<int D> | |
| VectorD< D > | get_random_vector_on (const SphereD< D > &s) |
| Generate a random vector on a sphere with uniform density. | |
| template<int D> | |
| base::Vector< VectorD< D > > | get_uniform_surface_cover (const SphereD< D > &s, unsigned int n) |
| Generate a set of vectors which covers a sphere uniformly. | |
Related Functions | |
(Note that these are not member functions.) | |
| template<int D> | |
| double | get_distance (const SphereD< D > &a, const SphereD< D > &b) |
| Return the distance between the two spheres if they are disjoint. | |
| template<int D> | |
| bool | get_interiors_intersect (const SphereD< D > &a, const SphereD< D > &b) |
| Return true if the two balls bounded by the two spheres interesect. | |
| template<int D> | |
| double | get_power_distance (const SphereD< D > &a, const SphereD< D > &b) |
| Return the power distance between the two spheres. | |
| bool IMP::algebra::SphereD< D >::get_contains | ( | const SphereD< D > & | o | ) | const |
Return true if this sphere contains the other one.
| bool IMP::algebra::SphereD< D >::get_contains | ( | const VectorD< D > & | p | ) | const |
Return true if the point is in or on the surface of the sphere.
Return the distance between the two spheres if they are disjoint.
If they intersect, the distances are not meaningful.
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Return true if the two balls bounded by the two spheres interesect.
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Return the power distance between the two spheres.
The power distance is the square of the distance between the centers minus the sum of the square of the radii.
Generate a random vector in a sphere with uniform density.
Generates a random vector in a circle with uniform density with respect to the area of the circle
| s | a 2D sphere (circle) |
Generate a random vector on a sphere with uniform density.
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related |
Generate a set of vectors which covers a sphere uniformly.
The function is currently pretty slow, especially in non-optimized builds. Complain if this bugs you. We might be able to do better, at least in 3D.
Creates at least the requested number of points.
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Read a set of 3d spheres from a file.
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related |
Write a set of 3d spheres to a file.