NBOTS is a scientific computing library focused on parallel computations, fast-prototyping and research. It has been used in a wide range of architectures and operative systems, such as Android, Mac OS, Linux, Windows and Linux-based supercomputing clusters. NBOTS is the short name for 'Numerical Bots', since the library is formed by several interdependent specialized modules, which are referred as bots.
Create a build directory and inside the directory run
build$> cmake [nbots dir]
build$> make
where nbots dir is the route to the project.
The project nbots is a self-contained ecosystem of numerical bots. A numerical bot is an interdependent module which perform several related numerical tasks.
| Name | Caption |
|---|---|
| Memory bot | Handles memory allocations |
| IO bot | IO structures and functions |
| Container bot | Process dynamic collections |
| Math bot | Standard numerical procedures |
| Graphics bot | 2D-vector drawing functions |
| Graph bot | Graph-specific routines |
| Solver bot | Linear algebra operations |
| Optimization bot | Constrained and unconstrained optim |
| Statistics bot | Pseudo-random number generators |
| Geometric bot | Implements geometric algorithms |
| Image bot | Image processing routines and filters |
| Metaheuristics bot | Black-box and combinatorial optim |
| PDE bot | Solve PDE using FEM & CVFA |
| Topopt bot | Topology optimization problems |
This module is provided for memory management. All memory allocations within the project must be done using this bot.
The Container bot is a collection of data structures for handling dynamic collections. The computational complexity must be considered when designing an algorithm. The following tables summarizes the memory required per item inserted and the worst case execution bound per operation (big O notation).
| Container | Implementation | Bytes x Item | Pointers x item | Sorted? | Pointer repetition? |
|---|---|---|---|---|---|
| Queue | Circular Linked-list | 0 | 2 | no | yes |
| Stack | Circular Linked-list | 0 | 2 | no | yes |
| Sorted | AVL | 4 | 3 | yes | no |
| Hash | Array of queues | 0 | 2 | no | yes |
| Heap | Half sorted BT | 1 | 3 | yes | yes |
| Container | insert() | delete() | exist() | merge() | get_fisrt() | delete_first() | iteration |
|---|---|---|---|---|---|---|---|
| Queue | 1 | N | N | 1 | 1 | 1 | 1 |
| Stack | 1 | N | N | 1 | 1 | 1 | 1 |
| Sorted | log(N) | log(N) | log(N) | N log(N) | log(N) | log(N) | log(N) |
| Hash | 1 | 1 | 1 | N | N | N | 1 |
| Heap | 1 | N | 1 | 1 | 1 | log(N) | log(N) |
Input Output functions.
Module provided for standard numerical procedures, such as numerical quaratures for polynomial integration.
The Graphics bot is a 2D vector graphics library which can be used to generate drawings and useful visualizations.
The graph bot is provided for graph processing, such as
- Labeling
- Spectral clusterization
- Perfect matching
- Coloring
Linear algebra module focused on parallel computations and sparse matrices.
Module provided for classical optimization, constrained and unconstrained.
Bot provided for random number generators.
The geometrical bot is provided for geometric operations, such as
- Meshing.
- Boolean shape operations.
- Delaunay triangulations.
- Voronoi diagrams.
- Point checks.
- Intersection checks.
- Fast geometrical search.
The image bot is intended for image processing.
This module is focused in black box and combinatorial optimization.
Module specialized in solving partial differential equations (PDE) using the most accurate numerical methods:
- Finite Element Method (FEM)
- Control Volume Function Approximation (CVFA)
Customized schemes for engineering problems:
- Solid Mechanics.
- Electromagnetic simulations.
- Heat transfer.
This bot is provided for "Topology optimizations" problems.
| Var name | Bot | Description |
|---|---|---|
| NB_FONTS_DIR | g2d | True-type fonts dir |
The Center for Research in Mathematics, CIMAT, in many ways has been the backbone of this project, especially the people forming the department of Computational Sciences and its post-graduate programs, a big thank you for all of them.
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