1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
//! Extended Modules for NumRS2
//!
//! This module contains advanced functionality that extends NumRS2's core capabilities.
//! All modules follow strict SCIRS2 integration policy and maintain production-grade
//! quality standards.
//!
//! # Module Organization
//!
//! ## Signal Processing and Analysis
//! - [`fft`]: Fast Fourier Transform operations
//! - [`fft_enhanced`]: Enhanced FFT with advanced windowing and convolution
//! - [`signal_processing`]: Signal filtering, windowing, and spectral analysis
//! - [`frequency_analysis`]: Frequency domain analysis tools
//! - [`spectral_analysis`]: Power spectral density and spectrograms
//! - [`wavelets`]: Wavelet transforms (DWT, CWT), multiresolution analysis, denoising
//!
//! ## Linear Algebra Extensions
//! - [`eigenvalues`]: Eigenvalue and eigenvector computations
//! - [`matrix_decomp`]: Matrix decompositions (LU, QR, Cholesky, Schur, SVD)
//! - [`sparse`]: Sparse matrix data structures and operations
//!
//! ## Mathematical Functions
//! - [`special`]: Special mathematical functions (Bessel, Gamma, Error functions, etc.)
//! - [`polynomial`]: Polynomial operations, fitting, and root finding
//!
//! ## Neural Networks and Machine Learning
//! - [`nn`]: Advanced neural network architectures (Transformers, Graph Neural Networks)
//! - [`rl`]: Reinforcement learning primitives (agents, environments, replay buffers)
//! - [`model_io`]: Model serialization, deployment formats, and checkpointing
//! - [`serving`]: Production ML serving (inference, model registry, preprocessing, monitoring)
//!
//! ## Time Series and Probabilistic Models
//! - [`timeseries`]: Time series analysis and forecasting
//! - [`probabilistic`]: Probabilistic models and Bayesian inference
//!
//! ## Quantum Computing
//! - [`quantum`]: Quantum computing simulation (state vectors, gates, circuits, algorithms)
//!
//! ## Computer Vision
//! - [`cv`]: Image processing, filtering, morphology, feature detection, geometric transforms
//!
//! ## Computational Geometry
//! - [`geometry`]: Convex hulls, Delaunay triangulation, Voronoi diagrams, polygon operations
//!
//! ## Finite Element Method
//! - [`fem`]: FEM solver for PDEs (heat conduction, linear elasticity, mesh generation)
//!
//! ## Graph Algorithms
//! - [`graph`]: Graph data structures and algorithms (traversal, shortest paths, MST, flow)
//!
//! ## Control Systems
//! - [`control`]: Transfer functions, state-space, stability analysis, PID controllers
//!
//! ## Information Theory
//! - [`information_theory`]: Entropy measures, divergence metrics, mutual information, coding theory
//!
//! ## Physical Constants
//! - [`constants`]: NIST/CODATA 2022 physical constants (fundamental, atomic, electromagnetic, units)
//!
//! # SCIRS2 Integration Policy
//!
//! All modules in `new_modules` strictly follow NumRS2's SCIRS2 integration policy:
//! - **Array Operations**: Use `scirs2_core::ndarray` (NEVER direct ndarray)
//! - **Random Numbers**: Use `scirs2_core::random` (NEVER direct rand)
//! - **Parallelization**: Use `scirs2_core::parallel_ops` (NEVER direct rayon)
//! - **Linear Algebra**: Use `scirs2_linalg` for matrix operations
//! - **Error Handling**: Base errors on `scirs2_core::error::CoreError`
//! - **Pure Rust**: 100% Pure Rust via SciRS2 ecosystem (no C/C++ dependencies)
//!
//! # Quality Standards
//!
//! All code maintains strict quality standards:
//! - No `unwrap()` calls in production code
//! - Comprehensive error handling with `Result<T, NumRs2Error>`
//! - Full documentation with mathematical formulas and citations
//! - Extensive test coverage (unit, integration, property-based)
//! - SIMD optimization where applicable
//! - Numerical stability guarantees
// Signal processing modules
// Linear algebra extensions
// Mathematical functions
// Neural networks and machine learning
// Time series and probabilistic models
// Quantum computing
// Computer Vision
// Computational Geometry
// Finite Element Method
// Graph Algorithms
// Control Systems
// Information Theory
// Physical Constants