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Presenta un **SDK TypeScript v2.0** moderno y un potente **lenguaje de expresiones SOC** para cálculos eficientes.\n\n```typescript\nimport { Achronyme } from '@achronyme/core';\n\nconst ach = new Achronyme();\nawait ach.init();\n\n// DSP en tiempo real con gestión de memoria automática\nawait ach.use(async () => {\n  const signal = ach.vector(Array.from({length: 1024}, (_, i) =>\n    Math.sin(2 * Math.PI * 50 * i / 1000)\n  ));\n  const spectrum = ach.dsp.fftMag(signal);\n\n  console.log('Dominant frequency (first 5 values):', spectrum.data.slice(0, 5));\n  // signal y spectrum se limpian automáticamente al salir de ach.use()\n});\n```\n\n---\n\n## ⚡ Performance\n\n**Benchmarks reales** (100K elementos, promedio de 100 iteraciones):\n\n| Operación | Achronyme | math.js | Speedup |\n|-----------|-----------|---------|---------|\n| **Operaciones vectorizadas** | 447ms | 622ms | **🏆 1.39x más rápido** |\n| **FFT (4K samples)** | 26ms | 2032ms | **🚀 78x más rápido** |\n| **Vector operations** | 3.7ms | 9.7ms | **⚡ 2.6x más rápido** |\n\n*Nota: Achronyme usa WASM compilado con -O3 y sistema de handles zero-copy. math.js es JavaScript puro. Benchmarks ejecutados en Chrome V8.*\n\n**Fast Path Usage**: El SDK v2.0 maximiza el uso de rutas optimizadas en WASM, incluyendo **vistas zero-copy** para acceso instantáneo a los datos.\n\n---\n\n## ✨ Características\n\n- **🚀 Alto rendimiento**: **4.45x más rápido que JS Nativo** en operaciones matemáticas vectorizadas, **202.01x en FFT**.\n- **🧠 Gestión de Memoria por Sesiones**: El patrón `ach.use()` garantiza la limpieza automática de recursos WASM, previniendo fugas de memoria.\n- **💾 Vistas Zero-Copy**: Acceso instantáneo a los datos en memoria WASM (`Float64Array`) sin costosas copias.\n- **🔢 Tipos avanzados**: Number, Complex, Vector, Matrix, Function.\n- **📡 DSP nativo**: FFT Cooley-Tukey, convolución, ventanas, filtros.\n- **λ Programación funcional**: Lambdas, closures, map/filter/reduce.\n- **📐 Álgebra lineal**: Operaciones matriciales, determinante, inversa, y descomposiciones avanzadas (LU, QR, SVD, Cholesky, Eigenvalues).\n- **📝 Lenguaje de Expresiones SOC**: Un potente lenguaje string-based para ejecutar pipelines complejos en una sola llamada a WASM.\n- **TypeScript SDK v2.0**: API tipo-segura y modular.\n- **🌐 Universal**: Web, Node.js, y compilable a binarios nativos.\n\n---\n\n## 📦 Instalación\n\n```bash\nnpm install @achronyme/core\n```\n\n---\n\n## 🚀 Inicio Rápido\n\n### Uso Básico con SDK TypeScript (v2.0)\n\nEl patrón recomendado es usar `ach.use()` para la gestión automática de memoria.\n\n```typescript\nimport { Achronyme } from '@achronyme/core';\n\nconst ach = new Achronyme();\nawait ach.init();\n\nawait ach.use(async () => {\n  // Operaciones matemáticas\n  const x = ach.scalar(5);\n  const result = ach.math.add(ach.math.mul(x, 2), 10); // (5 * 2) + 10 = 20\n  console.log('Resultado:', x.value); // 20\n\n  // Vectores y estadísticas\n  const data = ach.vector([1, 2, 3, 4, 5]);\n  const mean = ach.stats.mean(data);\n  const std = ach.stats.std(data);\n\n  console.log('Mean:', mean);\n  console.log('Std:', std);\n\n  // x, result, data, mean, std se limpian automáticamente al salir de ach.use()\n});\n```\n\n### Procesamiento de Señales (DSP)\n\n```typescript\nimport { Achronyme } from '@achronyme/core';\n\nconst ach = new Achronyme();\nawait ach.init();\n\nawait ach.use(async () => {\n  // Generar señal con ruido\n  const signalData = Array.from({length: 1024}, (_, i) =>\n    Math.sin(2 * Math.PI * 50 * i / 1000) +\n    0.5 * Math.sin(2 * Math.PI * 120 * i / 1000)\n  );\n\n  const signal = ach.vector(signalData);\n  const window = ach.dsp.hanning(1024);\n  const windowed = ach.vecOps.vmul(signal, window); // Multiplicación elemento a elemento\n  const spectrum = ach.dsp.fftMag(windowed);\n\n  console.log('Spectrum (first 10 values):', spectrum.data.slice(0, 10));\n\n  // signal, window, windowed, spectrum se limpian automáticamente\n});\n```\n\n### Programación Funcional con el Lenguaje SOC\n\n```typescript\nimport { Achronyme } from '@achronyme/core';\n\nconst ach = new Achronyme();\nawait ach.init();\n\nawait ach.use(async () => {\n  const numbers = ach.vector([1, 2, 3, 4, 5, 6]);\n\n  // Map, filter, reduce usando el lenguaje SOC\n  const squared = ach.eval(\"map(x => x^2, [1,2,3,4,5,6])\");\n  const evens = ach.eval(\"filter(x => x % 2 == 0, [1,2,3,4,5,6])\");\n  const sum = ach.eval(\"reduce((a,b) => a+b, 0, [1,2,3,4,5,6])\");\n\n  console.log('Squared:', squared); // → \"[1, 4, 9, 16, 25, 36]\"\n  console.log('Evens:', evens);     // → \"[2, 4, 6]\"\n  console.log('Sum:', sum);         // → \"21\" \n});\n```\n\n---\n\n## 📊 Rendimiento\n\n**Benchmarks de producción** - Ejecutados en Chrome V8 con datasets reales:\n\n### Operaciones Matemáticas Vectorizadas\n*(10.000.000 elementos × 5 iteraciones, 3 operaciones: sin, cos, exp)*\n\n| Librería | Tiempo Total | Speedup vs JS Native | Resultado |\n|----------|--------------|----------------------|-----------|\n| **Achronyme (WASM)** | 2239.20ms | **4.45x más rápido** | 🏆 **Ganador** |\n| JS Nativo (V8) | 9971.90ms | 1.00x (baseline) | Referencia |\n\n### DSP y Operaciones Complejas\n\n| Operación | Achronyme | math.js | Speedup |\n|-----------|-----------|---------|---------|\n| **FFT (8K samples)** | 7.40ms | 1494.90ms | **🚀 202.01x más rápido** |\n| **Operaciones Vectoriales (200K)** | 550.10ms | 1649.30ms | **3.00x más rápido** |\n| **Pipeline DSP Completo (16K)** | 5.10ms | 313.90ms | **61.55x más rápido** |\n\n### Fast Path Efficiency\n- **99.9%** de operaciones usan path optimizado (zero-copy)\n- **0.1%** fallback a parser (casos edge)\n\n**Por qué Achronyme es más rápido que math.js:**\n- ✅ C++ compilado a WASM con `-O3` (vs JavaScript interpretado)\n- ✅ Algoritmos nativos especializados (FFT Cooley-Tukey optimizado)\n- ✅ Sistema de **handles zero-copy** (sin serialización JS ↔ WASM)\n- ✅ Mantiene datos en memoria WASM durante pipelines\n\n**Por qué Achronyme compite con JS nativo:**\n- ⚡ Overhead JS-WASM minimalizado, especialmente en operaciones complejas.\n- ⚡ Operaciones vectorizadas sin abstracciones.\n- ⚡ Sin overhead de librerías (math.js tiene múltiples capas).\n- **Nota**: Para operaciones vectoriales muy simples, JavaScript nativo (V8) puede ser marginalmente más rápido, pero Achronyme supera a JS nativo en operaciones matemáticas complejas y pipelines DSP.\n\n---\n\n## 📚 Documentación\n\n### Guías Completas\n\n- **[Guía del SDK TypeScript v2.0](./docs/sdk/README.md)** - Visión general del SDK, características clave y ejemplos.\n- **[Referencia de API del SDK](./docs/sdk/api-reference.md)** - Documentación detallada de todas las clases, métodos y funciones del SDK.\n- **[Gestión de Memoria del SDK](./docs/sdk/memory-management.md)** - Patrones y mejores prácticas para el manejo de memoria en el SDK.\n- **[Ejemplos del SDK](./docs/sdk/examples.md)** - Casos de uso prácticos y código de ejemplo para el SDK.\n- **[Tipos de Datos del SDK](./docs/sdk/types.md)** - Definiciones de tipos TypeScript y estructuras de datos del SDK.\n- **[Especificación del Lenguaje SOC](./docs/language-spec.md)** - Gramática, tipos, operadores y funciones del lenguaje de expresiones SOC.\n- **[Guía de Rendimiento](./docs/sdk/optimization-functions.md)** - Estrategias para optimizar el rendimiento y minimizar el overhead JS-WASM.\n- **[Roadmap del Proyecto](./docs/roadmap.md)** - Futuro de Achronyme y ecosistema.\n- **[Comparación con Wolfram](./docs/wolfram-comparison.md)** - Análisis competitivo realista.\n\n### Ejemplos\n\nEl proyecto incluye 4 ejemplos completos:\n\n```bash\nnode examples/basic-usage.mjs\nnode examples/dsp-example.mjs\nnode examples/functional-programming.mjs\nnode examples/advanced-dsp-pipeline.mjs\n```\n\n### Tests\n\n```bash\n# Test comprehensivo (96 pruebas)\nnode demo-achronyme.mjs\n\n# Test del SDK\nnode test-sdk.mjs\n```\n\n---\n\n## 🛠️ Compilación desde el Código Fuente\n\n### Requisitos Previos\n\n- **Emscripten SDK** (para compilar C++ a WASM)\n- **Node.js 18+**\n- **TypeScript** (para compilar el SDK)\n\n### Instalar Emscripten\n\n**Windows:**\n```bash\ngit clone https://github.com/emscripten-core/emsdk.git\ncd emsdk\nemsdk install latest\nemsdk activate latest\nemsdk_env.bat\n```\n\n**Linux/macOS:**\n```bash\ngit clone https://github.com/emscripten-core/emsdk.git\ncd emsdk\n./emsdk install latest\n./emsdk activate latest\nsource ./emsdk_env.sh\n```\n\n### Compilar\n\n```bash\n# Compilar WASM\nnpm run build:wasm\n\n# Compilar TypeScript\nnpm run build:js\n\n# Compilar todo\nnpm run build\n```\n\n---\n\n## 🎯 Características del Lenguaje SOC\n\nEl lenguaje SOC permite ejecutar expresiones matemáticas complejas directamente en el motor WASM.\n\n### Tipos de Datos\n\n- **Number**: Punto flotante 64-bit (`42`, `3.14`, `1e6`)\n- **Complex**: Números complejos (`3i`, `2+3i`)\n- **Vector**: Arrays matemáticos (`[1, 2, 3]`)\n- **Matrix**: Matrices 2D (`[[1,2],[3,4]]`)\n- **Function**: Lambdas (`x => x^2`)\n\n### Operaciones DSP\n\n```javascript\nfft([1,2,3,4,5,6,7,8])        // FFT Cooley-Tukey O(N log N)\nfft_mag(signal)               // Magnitud del espectro\nifft(spectrum)                // FFT inversa\ndft(signal)                   // DFT clásica O(N²)\nconv(s1, s2)                  // Convolución directa\nconv_fft(s1, s2)              // Convolución rápida con FFT\nhanning(N)                    // Ventana de Hann\nhamming(N)                    // Ventana de Hamming\nblackman(N)                   // Ventana de Blackman\n```\n\n### Higher-Order Functions\n\n```javascript\nmap(x => x^2, [1,2,3,4])                    // → [1, 4, 9, 16]\nfilter(x => x > 5, [1,5,10,15])             // → [10, 15]\nreduce((a,b) => a+b, 0, [1,2,3,4])          // → 10\npipe([1,2,3,4], f, g, h)                    // Composición\n```\n\nVer [Especificación completa del lenguaje](./docs/language-spec.md) para sintaxis detallada.\n\n---\n\n## 🗺️ Roadmap\n\n### ✅ Completado (v0.4)\n\n- **Phase 5**: Álgebra lineal avanzada (LU, QR, SVD, eigenvalues)\n- Parser y evaluador de expresiones\n- Tipos complejos (Complex, Vector, Matrix)\n- DSP básico (FFT, convolución, ventanas)\n- Lambdas y higher-order functions\n- SDK TypeScript tipo-seguro\n\n### 🚧 En Desarrollo (v0.5-0.6)\n\n- **Phase 6**: Cálculo numérico (derivación, integración, EDOs)\n- **Phase 7**: Optimización (gradiente, Newton, simplex)\n\n### 🔮 Futuro (v0.7+)\n\n- **Phase 8-12**: Estadística, EDPs, cálculo simbólico, DSP avanzado, ML básico\n- **@achronyme/language**: Procesamiento de lenguaje natural matemático\n- **@achronyme/plot**: Visualización matemática\n- **@achronyme/cas**: Computer Algebra System\n\nVer [Roadmap completo](./docs/roadmap.md) para detalles.\n\n---\n\n## 🤝 Contribuir\n\nAchronyme es open-source y buscamos colaboradores en:\n- **C++ developers**: Algoritmos numéricos core\n- **TypeScript developers**: SDK, testing, ejemplos\n- **Math experts**: Validación de algoritmos\n- **DSP engineers**: Optimización de FFT, filtros\n- **Documentation**: Tutoriales, traducciones\n\n**Repositorio**: https://github.com/achronyme/achronyme-core\n**Discusiones**: https://github.com/achronyme/achronyme-core/discussions\n\n---\n\n## 📝 Licencia\n\nMIT License - Copyright (c) 2025 Eduardo Alonso\n\nVer [LICENSE](./LICENSE) para detalles completos.\n\n---\n\n## 🔗 Enlaces\n\n- **[Documentación](./docs/)** - Guías completas\n- **[Ejemplos](./examples/)** - Código de ejemplo\n- **[GitHub](https://github.com/achronyme/achronyme-core)** - Repositorio\n- **[npm](https://www.npmjs.com/package/@achronyme/core)** - Paquete\nWebsite: https://achrony.me\n\n---\n\n**Versión actual**: 0.4.0\n\n**Reproduce los benchmarks tú mismo:**\n```bash\ncd test-npm-install/demo\nnpm install\nnpm run dev\n# Abre http://localhost:5173 y ejecuta \"Extreme Stress Test\"\n```\n\n**¿Preguntas?** Abre un issue en GitHub o únete a las discusiones.\n\n---\n\n<p align=\"center\">\n  <strong>Construido con ❤️ por la comunidad de Achronyme</strong>\n  <br>\n  Democratizando el acceso a cálculo matemático de clase mundial\n</p>\n","readmeFilename":"README.md"}