// SPDX-License-Identifier: MIT
// Generated by EML-lang Solidity backend
// Source module: vibration_rms
// Source file:   /home/monogate/monogate/forge/examples/vibration_rms.eml
// Functions:     1 (1 @verify-annotated)
// Constants:     2
// Transcendental stubs: sqrt -- override in a derived contract (see PRBMath SD59x18)
// WARNING: 1 fractional Real literal(s) were rounded to int256 (e.g. 0.6108 -> 1).
// For fixed-point semantics, scale your EML constants
// by WAD (1e18) and override the transcendental stubs
// with PRBMath SD59x18 in a derived contract.

pragma solidity ^0.8.20;

contract VibrationRms {
    int256 constant NOISE_FLOOR = 0 /* 0.25 rounded; see header re fixed-point */;
    int256 constant RMS_MAX = 50;

    /// @notice Formal proof: vibration_rms_within_range (MachLib). Compiled from EML-lang.
    /// @dev Pfaffian profile: chain_order=1, cost_class=p1-d5-w1-c0, drift_risk=MEDIUM.
    /// @dev Gas estimate: ~1,300 gas (PRBMath SD59x18 overrides assumed; run forge gas-bench for the canonical signal).
    /// @param ax ax (int256)
    /// @param ay ay (int256)
    /// @dev ensures: (result >= 0)
    /// @dev ensures: (result <= RMS_MAX)
    function vibrationRms(int256 ax, int256 ay) external pure returns (int256) {
        require(((ax < 0 ? -ax : ax) <= 30), "vibration_rms: refinement violated on ax: ((ax < 0 ? -ax : ax) <= 30)");
        require(((ay < 0 ? -ay : ay) <= 30), "vibration_rms: refinement violated on ay: ((ay < 0 ? -ay : ay) <= 30)");
        int256 mag = _sqrt((((ax * ax) + (ay * ay)) + NOISE_FLOOR));
        return _clamp(mag, 0, RMS_MAX);
    }

    /// @dev clamp helper -- min(max(x, lo), hi).
    function _clamp(int256 x, int256 lo, int256 hi) internal pure returns (int256) {
        if (x < lo) return lo;
        if (x > hi) return hi;
        return x;
    }

    /// @dev sqrt stub — override with a fixed-point implementation.
    function _sqrt(int256 x) internal pure virtual returns (int256) {
        x; // silence unused-param warning
        revert("_sqrt: stub — override in a derived contract (see PRBMath SD59x18.sqrt)");
    }

}