num-complex-solidity
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Published
20 hours ago •
partylikeits1983
partylikeits1983
Complex numbers for Solidity
num_complex_solidity
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
License
Licensed under either of
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'
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