Fix tests for the UDU decomposition.
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@ -7,7 +7,7 @@ use crate::dimension::Dim;
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use crate::storage::Storage;
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use simba::scalar::RealField;
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/// UDU factorization
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/// UDU factorization.
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#[cfg_attr(feature = "serde-serialize", derive(Serialize, Deserialize))]
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#[cfg_attr(
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feature = "serde-serialize",
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@ -42,8 +42,11 @@ impl<N: RealField, D: Dim> UDU<N, D>
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where
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DefaultAllocator: Allocator<N, D> + Allocator<N, D, D>,
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{
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/// Computes the UDU^T factorization
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/// The input matrix `p` is assumed to be symmetric and this decomposition will only read the upper-triangular part of `p`.
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/// Computes the UDU^T factorization.
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///
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/// The input matrix `p` is assumed to be symmetric and this decomposition will only read
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/// the upper-triangular part of `p`.
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///
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/// Ref.: "Optimal control and estimation-Dover Publications", Robert F. Stengel, (1994) page 360
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pub fn new(p: MatrixN<N, D>) -> Self {
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let n = p.ncols();
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@ -1,5 +1,4 @@
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use na::Matrix3;
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use na::UDU;
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use na::{Matrix3, UDU};
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#[test]
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#[rustfmt::skip]
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@ -40,19 +39,14 @@ mod quickcheck_tests {
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macro_rules! gen_tests(
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($module: ident, $scalar: ty) => {
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mod $module {
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use std::cmp;
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use na::{DMatrix, Matrix4};
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use na::{UDU, DMatrix, Matrix4};
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#[allow(unused_imports)]
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use crate::core::helper::{RandScalar, RandComplex};
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quickcheck! {
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fn udu(m: DMatrix<$scalar>) -> bool {
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let mut m = m;
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if m.len() == 0 {
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m = DMatrix::<$scalar>::new_random(1, 1);
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}
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let m = m.map(|e| e.0);
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fn udu(n: usize) -> bool {
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let n = std::cmp::max(1, std::cmp::min(n, 10));
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let m = DMatrix::<$scalar>::new_random(n, n).map(|e| e.0).hermitian_part();
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let udu = UDU::new(m.clone());
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let p = &udu.u * &udu.d_matrix() * &udu.u.transpose();
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@ -61,18 +55,17 @@ mod quickcheck_tests {
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}
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fn udu_static(m: Matrix4<$scalar>) -> bool {
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let m = m.map(|e| e.0);
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let m = m.map(|e| e.0).hermitian_part();
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let udu = UDU::new(m.clone());
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let p = udu.u * udu.d_matrix() * udu.u.transpose();
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relative_eq!(m, p, epsilon = 3.0e-16)
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relative_eq!(m, p, epsilon = 1.0e-7)
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}
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}
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}
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}
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);
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gen_tests!(complex, RandComplex<f64>);
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gen_tests!(f64, RandScalar<f64>);
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}
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