num_complex_solidity

Complex numbers for Solidity.

This library is in development. Please feel free to make a pull request with added functionality.

Usage

WIth npm:

$ npm i @partylikeits1983/complex_sol

// SPDX-License-Identifier: Unlicense
pragma solidity ^0.8.17;

import "@partylikeits1983/complex_sol/contracts/Complex.sol";

contract model {

    function test(int re, int im) public returns (int,int) {

        (re,im) = Complex.complexLN(re,im);

        return (re,im);
    }
}

Version 1.0

| Functions | Description | Gas Estimation | | ----------- | ------------------- | -------------- | | add | (a+bi) + (a+bi) | 698 | | sub | (a+bi) - (a+bi) | 687 | | mul | (a+bi) * (a+bi) | 2212 | | div | (a+bi) / (a+bi) | 4099 | | r2 | a^2 + b^2 = c^2 | 2188 | | fromPolar | z=r(cosθ+isinθ) | 2518 | | toPolar | z=r(cosθ+isinθ) | 5506 | | atan2 | tan^-1 | 2632 | | p_atan2 | precise tan^-1 | 3442 | | atan1to1 | tan^-1 from -1 to 1 | 2496 | | complexSQRT | (a+bi)^(1/2) | 8812 | | complexPOW | when n<1 (a+bi)^n | 18182 | | complexEXP | e^(a+bi) | 4986 |

Documentation

num_complex_solidity documentation

Testing

npx hardhat test tests/math.test.js

Acknowledgements

Big thanks to the authors of the the - mds1/solidity-trigonometry and the prb-math repositories

Sponsor this Repository

If you would like to support this repository please feel free to make a contribution to this address: 0x74d6E0f5bff59A2a6b3CDe43c26EcAaC31101722

All proceeds will go to the development of this repository. Any contribution is greatly appreciated.

Sponsors

Paul Berg

License

Licensed under either of

• Apache License, Version 2.0
• MIT license

at your option.

Contribution

Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.