numcomplexsolidity

Complex numbers for Solidity.

Usage

// SPDX-License-Identifier: MIT
pragma solidity ^0.8.24;
import "./Num_Complex.sol";
contract model {     NumComplex numcomplex;
NumComplex.Complex a = NumComplex.Complex({re:sd(1e18), im: sd(1e18)});
function test() public returns (Num_Complex.Complex memory) {
NumComplex.Complex memory result = numcomplex.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

numcomplex_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

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'