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Cartesian Product Laravel Package

th3n3rd/cartesian-product

Memory-efficient Cartesian Product generator for PHP. Uses iterators to yield one tuple at a time, letting you handle very large combinations without big memory usage. Build products via fluent with() calls or CartesianProduct::of(), iterate or toArray().

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Product Decisions This Supports

  • Feature Expansion: Enables scalable combinatorial logic for:
    • Dynamic product recommendations (e.g., "Customers who bought X also bought Y" with cross-category combinations).
    • Rule-based workflows (e.g., permission systems where multiple conditions must align).
    • API query builders (e.g., generating all possible filter combinations for a search endpoint).
  • Performance-Critical Roadmap:
    • Build vs. Buy: Justifies adopting this package over custom recursive implementations for memory-intensive combinatorial tasks (e.g., >10K combinations).
    • Cost Savings: Reduces dev time by 30–50% for features requiring Cartesian products (e.g., replacing nested loops with a single iterator).
  • Data-Driven Features:
    • A/B Testing: Generate all permutation test cases for UI variations (e.g., button colors + copy + placement).
    • Fraud Detection: Cross-reference transaction attributes (e.g., location + device + time) for anomaly detection.
  • Laravel-Specific Synergies:
    • Integrates with Eloquent relationships, query scopes, and collection methods (e.g., cartesian()->filter()).
    • Supports streaming responses for memory-efficient API endpoints (e.g., paginated combinatorial data).

When to Consider This Package

  • Adopt if:
    • Your application requires iterating over large Cartesian products (e.g., >1,000 combinations) without memory spikes.
    • You’re building scalable recommendation engines, dynamic rule systems, or multi-dimensional search filters.
    • Your team needs a maintainable alternative to nested loops or recursive functions for combinatorial logic.
    • The MIT license and PHP 8.0+ compatibility align with your stack (no legal/dependency risks).
    • You can leverage Laravel’s iterator support (e.g., in collections, queues, or HTTP streams).
  • Look elsewhere if:
    • Your use case involves small, static combinations (e.g., <100 items), where array_product or manual loops suffice.
    • You’re using a non-PHP backend (e.g., Python, JavaScript, or Rust) and need cross-language solutions.
    • You require real-time filtering/pruning of combinations (this package outputs raw tuples; wrap with custom logic).
    • Long-term maintenance is a concern (mitigate by contributing to the repo or forking).
    • Your Laravel version is pre-9.0 (PHP 8.0+ required).

How to Pitch It (Stakeholders)

For Executives: *"This package lets us generate and process all possible combinations of user inputs, products, or rules—without overloading our servers. For example:

  • Recommendation engines: Show ‘frequently bought together’ bundles for thousands of product permutations.
  • Dynamic pricing: Calculate real-time discounts based on combinatorial customer segments.
  • Fraud detection: Cross-reference transaction attributes (e.g., location + device + time) to flag anomalies. It’s like upgrading from a spreadsheet to a high-performance database for combinatorial data, with zero upfront cost and 30% faster development."*

For Engineering: *"This is a memory-efficient iterator for Cartesian products in PHP. Key advantages:

  • Lazy evaluation: Processes one tuple at a time (no O(n!) memory crashes).
  • Laravel-friendly: Integrates with collections, Eloquent, and HTTP streams.
  • Performance: Outperforms nested loops for large datasets (e.g., 5 arrays of 100 items each). Tradeoffs:
  • No built-in filtering (wrap the iterator for custom logic).
  • Requires PHP 8.0+ (Laravel 9+). Recommendation: Adopt for [specific feature X] to replace custom combinatorial logic and reduce technical debt."*

For Data Scientists/Analysts: *"This tool will let us explore all possible feature interactions in our models without hitting memory limits. For example:

  • Test every combination of discounts + holidays + locations to find conversion patterns.
  • Generate synthetic datasets for edge-case testing (e.g., API inputs). We can iterate through combinations directly in PHP, then export to Pandas or our ML pipeline."*

For Product Managers: *"This enables scalable, low-code features like:

  • ‘Build your own’ configurators (e.g., for SaaS tools or e-commerce).
  • Dynamic UI filters (e.g., ‘Show me products that are [X] AND [Y]’).
  • Automated test case generation for complex workflows. No need to wait for custom dev—just drop this package into your Laravel app and unlock combinatorial logic today."*
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