05_03_05_algorithm_templates - Estado del Proyecto¶

✅ COMPLETADO¶

Fecha de completación: 2025-10-10

📊 Métricas Finales¶

Tests: 28/28 pasando ✅
Cobertura: 100% ✅
Líneas de código: ~1,200 LOC
Templates creados: 2 (Biquad Lowpass, ADSR Envelope)
Ejemplos funcionales: 1 con 6 casos de uso
Documentación: Completa

🎯 Objetivos Alcanzados¶

1. Sistema de Templates Parametrizables ✅¶

Schema YAML completo para templates
Definición de parámetros con rangos y constraints
Support para múltiples categorías (filter, envelope, oscillator, delay, etc.)
Metadata completa (versión, autor, referencias)

2. Templates Implementados ✅¶

Biquad Lowpass Filter: - [x] 3 parámetros (fc, Q, fs) - [x] Audio EQ Cookbook formulas - [x] Difference equation y transfer function - [x] Validación de estabilidad - [x] Numerical specifications - [x] 3 ejemplos de instancias

ADSR Envelope Generator: - [x] 5 parámetros (attack, decay, sustain, release, fs) - [x] Finite State Machine con 5 estados - [x] Rate calculations automáticas - [x] Transiciones de estado documentadas - [x] 4 ejemplos de instancias (percussive, pad, piano, organ)

3. Template Loading System ✅¶

Clase TemplateLoader desde YAML
Parsing automático de parámetros
Load individual y batch (directorio completo)
Error handling robusto

4. Coefficient Generators ✅¶

BiquadCoefficients (lowpass, highpass)
ADSRCoefficients (rate calculations)
Generación automática al instanciar
Valores intermedios incluidos (ω0, α)

5. Template Instantiation ✅¶

Clase TemplateInstantiator
Validación de parámetros pre-instanciación
Generación automática de coeficientes
Error messages descriptivos

6. Template Catalog ✅¶

7. Suite de Tests ✅¶

TestParameterDef (4 tests): - Parameter creation, validation, string representation

TestAlgorithmTemplate (7 tests): - Template creation, get parameter, validate parameters (valid/missing/invalid/unknown)

TestBiquadCoefficients (3 tests): - Lowpass coefficients, highpass coefficients, coefficient symmetry

TestADSRCoefficients (2 tests): - ADSR rates, attack rate calculation

TestTemplateLoader (2 tests): - Load biquad lowpass, load ADSR envelope

TestTemplateInstantiator (3 tests): - Instantiate valid, invalid parameters, generates coefficients

TestTemplateCatalog (7 tests): - Add template, get template, list all/by category, list categories, report generation

8. Ejemplo Funcional ✅¶

instantiate_templates.py: - Example 1: Biquad Lowpass @ 1kHz (Butterworth) - Example 2: Resonant Lowpass @ 2kHz (Q=5.0) - Example 3: Highpass @ 100Hz - Example 4: ADSR Percussive envelope - Example 5: ADSR Pad envelope - Example 6: Parameter validation error handling - Catalog browsing and template details

🏗️ Arquitectura Implementada¶

template_system.py
├── ParameterDef
│   ├── name, symbol, param_type, units
│   ├── range_min, range_max, default
│   ├── scale, description, constraints
│   ├── validate(value) → (bool, str)
│   └── __str__()
│
├── AlgorithmTemplate
│   ├── template_id, name, category, version
│   ├── description, author, references
│   ├── parameters: List[ParameterDef]
│   ├── difference_equation, transfer_function_z
│   ├── coefficient_formulas, metadata
│   ├── get_parameter(name) → ParameterDef
│   ├── validate_parameters(params) → (bool, List[str])
│   └── __str__()
│
├── TemplateInstance
│   ├── template: AlgorithmTemplate
│   ├── instance_id: str
│   ├── parameters: Dict[str, float]
│   ├── coefficients: Dict[str, float]
│   └── __str__()
│
├── TemplateLoader
│   ├── load_from_file(path) → AlgorithmTemplate
│   └── load_all_from_directory(dir) → Dict[str, AlgorithmTemplate]
│
├── Coefficient Generators
│   ├── BiquadCoefficients
│   │   ├── lowpass(fc, Q, fs) → Dict
│   │   └── highpass(fc, Q, fs) → Dict
│   └── ADSRCoefficients
│       └── calculate_rates(tA, tD, S, tR, fs) → Dict
│
├── TemplateInstantiator
│   ├── COEFFICIENT_GENERATORS: Dict[str, Callable]
│   └── instantiate(template, id, params) → TemplateInstance
│
└── TemplateCatalog
    ├── templates: Dict[str, AlgorithmTemplate]
    ├── load_templates(directory)
    ├── add_template(template)
    ├── get_template(id) → AlgorithmTemplate
    ├── list_templates(category?) → List[AlgorithmTemplate]
    ├── list_categories() → List[str]
    ├── instantiate(id, instance_id, params) → TemplateInstance
    └── generate_catalog_report() → str

📈 Resultados de Ejemplo¶

Biquad Lowpass @ 1kHz, Q=0.707, fs=48kHz¶

Coefficients:
  b0 = 0.00391608
  b1 = 0.00783215
  b2 = 0.00391608
  a1 = -1.81531792
  a2 = 0.83098222

DC Gain = 1.000000 (unity gain)

ADSR Percussive (0.001s attack, 0.1s decay, 0.0 sustain, 0.05s release)¶

Coefficients:
  attack_rate = 0.02083333 (per sample)
  decay_rate = 0.00020833
  sustain_level = 0.0
  release_rate = 0.0
  attack_samples = 48
  decay_samples = 4800
  release_samples = 2400

🔧 Tecnologías Utilizadas¶

Python 3.12 con type hints
dataclasses para estructuras
YAML para templates
pathlib para file handling
math para cálculos
unittest para testing

📝 Template Schema¶

Cada template YAML contiene: - Metadata: id, name, category, version, description, author, references - Parameters: Lista de ParameterDef con ranges, defaults, constraints - Equations: difference_equation, transfer_function_z - Formulas: coefficient_formulas (intermediate, feedforward, feedback) - Characteristics: filter_type, order, rolloff, dc_gain, etc. - Validation: stability, dc_gain, cutoff_frequency checks - Numerical Specs: precision, format, overflow handling - Implementation: recommended_topology, pseudocode, optimizations - Examples: Multiple example instances with expected coefficients

🎓 Conceptos Demostrados¶

Parametric Design
Templates con parámetros variables
Ranges y constraints
Default values
Scaling (linear/logarithmic)
Coefficient Generation
Audio EQ Cookbook formulas
Bilinear transform
Normalized coefficients
Intermediate values (ω0, α)
Validation
Range checking
Constraint verification
Nyquist limit checking
Error reporting
Catalog Management
Template organization by category
Search and filtering
Batch loading
Report generation

🔗 Integración¶

Este módulo se integra con: - 05_03_01_equation_database: Templates generan equation entries - 05_03_02_signal_flow_diagrams: Templates → signal flow graphs - 05_03_03_transfer_functions: Templates → TransferFunction objects - 05_03_04_numerical_specifications: Templates → NumericalSpecification objects - 28_TEMPLATES (código): Source code generation from templates

🚀 Próximos Pasos¶

Módulo completado.

FASE 2 (Analysis & Validation) COMPLETADA 100%

Continuar con FASE 3 (System Integration & Tools): - TAREA 7: 05_03_06_validation_criteria - TAREA 8: 05_03_07_reference_implementations

📚 Referencias¶

Audio EQ Cookbook by Robert Bristow-Johnson
Designing Sound by Andy Farnell
The Computer Music Tutorial by Curtis Roads
Digital Signal Processing by Oppenheim & Schafer