opensrdk-linear-algebra 0.7.0

Standard linear algebra library using blas and lapack for OpenSRDK toolchain.
Documentation 
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use crate::matrix::ci::CirculantMatrix;
use crate::{matrix::Matrix, number::c64};
use rayon::prelude::*;
use rustfft::FftPlanner;
use std::f64::consts::PI;

impl CirculantMatrix<f64> {
  pub fn cigv(&self) -> (Matrix<c64>, Vec<c64>) {
    let row_elems = self.row_elems();
    let n = row_elems.len();

    let mut fourier_matrix: Matrix<c64> = Matrix::<c64>::new(n, n);
    let omega = c64::new(0.0, 2.0 * PI / (n as f64)).exp();

    for i in 0..n {
      for j in 0..i {
        fourier_matrix[i][j] = fourier_matrix[j][i];
      }
      for j in i..n {
        fourier_matrix[i][j] = omega.powi((i * j) as i32);
      }
    }

    let mut buffer = row_elems
      .par_iter()
      .map(|&e| c64::new(e, 0.0))
      .collect::<Vec<c64>>();

    let mut planner = FftPlanner::new();
    let fft = planner.plan_fft_forward(n);
    fft.process(&mut buffer);

    (fourier_matrix, buffer)
  }
}

#[cfg(test)]
mod tests {
  use super::*;
  #[test]
  fn it_works() {
    let a = CirculantMatrix::new(vec![1.0, 2.0, 3.0]);
    let diagonalized = a.cigv();

    assert_eq!(diagonalized.1[0].re, 6.0);
  }
}