Complex numbers for Solidity.

Usage

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;

import "./Num_Complex.sol";

contract model {
    Num_Complex num_complex;

    Num_Complex.Complex a = Num_Complex.Complex({re:sd(1e18), im: sd(1e18)});

    function test() public returns (Num_Complex.Complex memory) {

        Num_Complex.Complex memory result = num_complex.ln(a);

        return result;
    }
}

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
sqrt	(a+bi)^(1/2)	8812
pow	(a+bi)^n	18182
exp	e^(a+bi)	4986

Documentation

num_complex_solidity documentation

Testing

pnpm i

npx hardhat test tests/math.test.ts

Acknowledgements

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

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.

Formatting

npx prettier --write 'contracts/*.sol'
npx prettier --write '**/*.ts'