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// binary between Perplex and T impl Add for Perplex { type Output = Perplex; diff --git a/src/matrix.rs b/src/matrix.rs index 094b645..9c96f4a 100644 --- a/src/matrix.rs +++ b/src/matrix.rs @@ -5,7 +5,8 @@ //! ## Overview //! The `PerplexMatrixForm` type is a type alias for a 2x2 matrix from the `nalgebra` crate, representing the matrix form of a perplex number. This module includes conversions between the `Perplex` struct and its matrix representation. //! The matrix representation of a perplex number is symmetric, with the real part on the diagonal and the hyperbolic part on the off-diagonal. This symmetry reflects the properties of perplex numbers regarding the hyperbolic unit. -//! Addition, multiplication as well as inversion of perplex numbers correspond to the matrix operations. +//! Addition, multiplication, as well as inversion of perplex numbers correspond to the matrix operations. +//! //! ## Example //! ```rust //! use perplex_num::Perplex; @@ -19,13 +20,17 @@ use super::perplex::Perplex; use nalgebra::{Matrix2, RealField}; -pub type PerplexMatrixForm = Matrix2; // TODO symmetric ? limit operations to the ones defined on a wrapping struct ? + +/// A type alias for a 2x2 matrix from `nalgebra`, representing a perplex number as a matrix. +pub type PerplexMatrixForm = Matrix2; + impl From> for Perplex { /// Converts a matrix form to a perplex number, assuming a symmetric matrix. fn from(m: PerplexMatrixForm) -> Self { Self { t: m.m11, x: m.m12 } } } + impl From> for PerplexMatrixForm { /// Returns the matrix form of the perplex number. fn from(z: Perplex) -> Self { diff --git a/src/perplex.rs b/src/perplex.rs index f1e566d..1eaf91a 100644 --- a/src/perplex.rs +++ b/src/perplex.rs @@ -208,8 +208,6 @@ impl Perplex { self.ln().map(|z| z / base.ln()) } - // TODO cbrt, powf, powc, expf for Perplex ? - /// Computes the square root of `self` if `self` lies in the right sector, or returns `None` if not. Formula is taken from Eq. 2.23 in [New characterizations of the ring of the split-complex numbers and the field C of complex numbers and their comparative analyses](https://doi.org/10.48550/arXiv.2305.04586). #[inline] pub fn sqrt(self) -> Option { @@ -257,8 +255,6 @@ impl Perplex { pub fn tanh(self) -> Option { self.sinh() / self.cosh() } - - // TODO asin, acos, atan, asinh, acosh, atanh ? } impl Perplex {