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[PERF] Implement Gas-Optimized Assembly Modulo Multiplication Engine #715

Description

@mijinummi

Labels: medium-difficulty, yul, math, gasguard
Difficulty: Medium
Module: contracts/math/


🧠 Concept

Implement a low-level Yul library for modular arithmetic operations (mulmod, addmod) that avoids high-level Solidity math safety checks.

⚠️ Problem

Solidity's default math operations inject overflow checks before executing arithmetic, whereas native EVM opcodes MULMOD and ADDMOD handle arbitrary precision safely in hardware.

📁 Implementation Scope

  • contracts/math/FastModMath.sol
  • test/math/FastModMath.test.ts

🛠️ Requirements

  1. Implement safeMulMod(uint256 x, uint256 y, uint256 m) returns (uint256 result) in Yul assembly.
  2. Execute native mulmod(x, y, m) opcode directly with inline division-by-zero validation.

🎯 Acceptance Criteria

  • Operates with minimal gas overhead per modular arithmetic operation.
  • Fuzz testing verifies matching precision against reference math implementations.

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Stellar WaveIssues in the Stellar wave program

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