# ramzygirgis/gopmath architecture

> Architecture diagram of the GitHub repository ramzygirgis/gopmath, generated by GitDiagram from its file tree, README and a sample of source files (last updated 2026-09-27). It is an AI-made overview: check details against the source.

- Interactive diagram: https://gitdiagram.com/ramzygirgis/gopmath
- Repository: https://github.com/ramzygirgis/gopmath

## Overview

goPMATH is a Go library for pure-mathematics computations; the README does not describe a specific user-facing workflow. Its visible runtime capabilities are group operations and constructions, polynomial-ring operations, and elementary number-theory calculations. The abstract group and ring definitions provide internal interfaces for those computations. The sampled source is incomplete and contains apparent compile-time and implementation gaps, so the graph shows only relationships evidenced by visible calls; the primality-test file contains comments but no implementation.

Main entry points: [`algebraic_structures/groups/abstract_methods.go`](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/abstract_methods.go) (Group methods), [`number_theory/elementary_NT/elementary_algorithms.go`](https://github.com/ramzygirgis/gopmath/blob/main/number_theory/elementary_NT/elementary_algorithms.go) (Elementary algorithms), [`algebraic_structures/groups/symmetric.go`](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/symmetric.go) (Symmetric groups), [`algebraic_structures/rings/polynomial_rings.go`](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/rings/polynomial_rings.go) (Polynomial rings)

## Diagram (Mermaid)

```mermaid
flowchart TD

subgraph group_groups["Group theory"]
  node_group_api["Group interface<br/>[abstract_groups.go]"]
  node_group_methods["Group methods"]
  node_cyclic["Cyclic groups<br/>[cyclic.go]"]
  node_symmetric["Symmetric groups<br/>[symmetric.go]"]
  node_permutations["Permutations<br/>[permutations.go]"]
end

subgraph group_rings["Ring theory"]
  node_ring_api["Ring interface<br/>[abstract_rings.go]"]
  node_polynomial_rings["Polynomial rings"]
end

subgraph group_number_theory["Number theory"]
  node_elementary["Elementary algorithms"]
  node_primality["Primality tests<br/>[primality_tests.go]"]
end

node_group_methods -->|"uses operations"| node_group_api
node_group_methods -.->|"supports"| node_cyclic
node_group_methods -.->|"supports"| node_symmetric
node_symmetric -->|"validates and composes"| node_permutations
node_polynomial_rings -->|"calls ring methods"| node_ring_api
node_elementary -->|"reuses GCD and valuations"| node_elementary
node_elementary -.->|"checks primality"| node_primality

click node_group_api "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/abstract_groups.go"
click node_group_methods "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/abstract_methods.go"
click node_cyclic "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/cyclic.go"
click node_symmetric "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/symmetric.go"
click node_permutations "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/permutations.go"
click node_ring_api "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/rings/abstract_rings.go"
click node_polynomial_rings "https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/rings/polynomial_rings.go"
click node_elementary "https://github.com/ramzygirgis/gopmath/blob/main/number_theory/elementary_NT/elementary_algorithms.go"
click node_primality "https://github.com/ramzygirgis/gopmath/blob/main/number_theory/elementary_NT/primality_tests.go"

classDef toneNeutral fill:#f8fafc,stroke:#334155,stroke-width:1.5px,color:#0f172a
classDef toneBlue fill:#dbeafe,stroke:#2563eb,stroke-width:1.5px,color:#172554
classDef toneAmber fill:#fef3c7,stroke:#d97706,stroke-width:1.5px,color:#78350f
classDef toneMint fill:#dcfce7,stroke:#16a34a,stroke-width:1.5px,color:#14532d
classDef toneRose fill:#ffe4e6,stroke:#e11d48,stroke-width:1.5px,color:#881337
classDef toneIndigo fill:#e0e7ff,stroke:#4f46e5,stroke-width:1.5px,color:#312e81
classDef toneTeal fill:#ccfbf1,stroke:#0f766e,stroke-width:1.5px,color:#134e4a
class node_group_api,node_group_methods,node_cyclic,node_symmetric,node_permutations toneBlue
class node_ring_api,node_polynomial_rings toneAmber
class node_elementary,node_primality toneMint
```

## Components

### Group theory

- [Group interface](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/abstract_groups.go): `algebraic_structures/groups/abstract_groups.go`
- [Group methods](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/abstract_methods.go): `algebraic_structures/groups/abstract_methods.go`
- [Cyclic groups](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/cyclic.go): `algebraic_structures/groups/cyclic.go`
- [Symmetric groups](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/symmetric.go): `algebraic_structures/groups/symmetric.go`
- [Permutations](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/groups/permutations.go): `algebraic_structures/groups/permutations.go`

### Ring theory

- [Ring interface](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/rings/abstract_rings.go): `algebraic_structures/rings/abstract_rings.go`
- [Polynomial rings](https://github.com/ramzygirgis/gopmath/blob/main/algebraic_structures/rings/polynomial_rings.go): `algebraic_structures/rings/polynomial_rings.go`

### Number theory

- [Elementary algorithms](https://github.com/ramzygirgis/gopmath/blob/main/number_theory/elementary_NT/elementary_algorithms.go): `number_theory/elementary_NT/elementary_algorithms.go`
- [Primality tests](https://github.com/ramzygirgis/gopmath/blob/main/number_theory/elementary_NT/primality_tests.go): `number_theory/elementary_NT/primality_tests.go`

## Connections

- Group methods → Group interface: uses operations
- Group methods → Cyclic groups: supports
- Group methods → Symmetric groups: supports
- Symmetric groups → Permutations: validates and composes
- Polynomial rings → Ring interface: calls ring methods
- Elementary algorithms → Elementary algorithms: reuses GCD and valuations
- Elementary algorithms → Primality tests: checks primality