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use ndarray::*;
use num_traits::Zero;
use super::convert::*;
use super::error::*;
use super::layout::*;
use super::triangular::*;
use lapack_traits::{LapackScalar, UPLO};
pub trait QR {
type Q;
type R;
fn qr(&self) -> Result<(Self::Q, Self::R)>;
}
pub trait QRInto: Sized {
type Q;
type R;
fn qr_into(self) -> Result<(Self::Q, Self::R)>;
}
pub trait QRSquare: Sized {
type Q;
type R;
fn qr_square(&self) -> Result<(Self::Q, Self::R)>;
}
pub trait QRSquareInto: Sized {
type R;
fn qr_square_into(self) -> Result<(Self, Self::R)>;
}
impl<A, S> QRSquareInto for ArrayBase<S, Ix2>
where
A: LapackScalar + Copy + Zero,
S: DataMut<Elem = A>,
{
type R = Array2<A>;
fn qr_square_into(mut self) -> Result<(Self, Self::R)> {
let l = self.square_layout()?;
let r = A::qr(l, self.as_allocated_mut()?)?;
let r: Array2<_> = into_matrix(l, r)?;
Ok((self, r.into_triangular(UPLO::Upper)))
}
}
impl<A, S> QRSquare for ArrayBase<S, Ix2>
where
A: LapackScalar + Copy + Zero,
S: Data<Elem = A>,
{
type Q = Array2<A>;
type R = Array2<A>;
fn qr_square(&self) -> Result<(Self::Q, Self::R)> {
let a = self.to_owned();
a.qr_square_into()
}
}
impl<A, S> QRInto for ArrayBase<S, Ix2>
where
A: LapackScalar + Copy + Zero,
S: DataMut<Elem = A>,
{
type Q = Array2<A>;
type R = Array2<A>;
fn qr_into(mut self) -> Result<(Self::Q, Self::R)> {
let n = self.rows();
let m = self.cols();
let k = ::std::cmp::min(n, m);
let l = self.layout()?;
let r = A::qr(l, self.as_allocated_mut()?)?;
let r: Array2<_> = into_matrix(l, r)?;
let q = self;
Ok((take_slice(&q, n, k), take_slice_upper(&r, k, m)))
}
}
impl<A, S> QR for ArrayBase<S, Ix2>
where
A: LapackScalar + Copy + Zero,
S: Data<Elem = A>,
{
type Q = Array2<A>;
type R = Array2<A>;
fn qr(&self) -> Result<(Self::Q, Self::R)> {
let a = self.to_owned();
a.qr_into()
}
}
fn take_slice<A, S1, S2>(a: &ArrayBase<S1, Ix2>, n: usize, m: usize) -> ArrayBase<S2, Ix2>
where
A: Copy,
S1: Data<Elem = A>,
S2: DataMut<Elem = A> + DataOwned,
{
let av = a.slice(s![..n as isize, ..m as isize]);
let mut a = unsafe { ArrayBase::uninitialized((n, m)) };
a.assign(&av);
a
}
fn take_slice_upper<A, S1, S2>(a: &ArrayBase<S1, Ix2>, n: usize, m: usize) -> ArrayBase<S2, Ix2>
where
A: Copy + Zero,
S1: Data<Elem = A>,
S2: DataMut<Elem = A> + DataOwned,
{
let av = a.slice(s![..n as isize, ..m as isize]);
let mut a = unsafe { ArrayBase::uninitialized((n, m)) };
for ((i, j), val) in a.indexed_iter_mut() {
*val = if i <= j { av[(i, j)] } else { A::zero() };
}
a
}