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//! QR decomposition
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};
pub struct HouseholderWork<T: Scalar> {
pub m: i32,
pub n: i32,
pub layout: MatrixLayout,
pub tau: Vec<MaybeUninit<T>>,
pub work: Vec<MaybeUninit<T>>,
}
pub trait HouseholderWorkImpl: Sized {
type Elem: Scalar;
fn new(l: MatrixLayout) -> Result<Self>;
fn calc(&mut self, a: &mut [Self::Elem]) -> Result<&[Self::Elem]>;
fn eval(self, a: &mut [Self::Elem]) -> Result<Vec<Self::Elem>>;
}
macro_rules! impl_householder_work {
($s:ty, $qrf:path, $lqf: path) => {
impl HouseholderWorkImpl for HouseholderWork<$s> {
type Elem = $s;
fn new(layout: MatrixLayout) -> Result<Self> {
let m = layout.lda();
let n = layout.len();
let k = m.min(n);
let mut tau = vec_uninit(k as usize);
let mut info = 0;
let mut work_size = [Self::Elem::zero()];
match layout {
MatrixLayout::F { .. } => unsafe {
$qrf(
&m,
&n,
std::ptr::null_mut(),
&m,
AsPtr::as_mut_ptr(&mut tau),
AsPtr::as_mut_ptr(&mut work_size),
&(-1),
&mut info,
)
},
MatrixLayout::C { .. } => unsafe {
$lqf(
&m,
&n,
std::ptr::null_mut(),
&m,
AsPtr::as_mut_ptr(&mut tau),
AsPtr::as_mut_ptr(&mut work_size),
&(-1),
&mut info,
)
},
}
info.as_lapack_result()?;
let lwork = work_size[0].to_usize().unwrap();
let work = vec_uninit(lwork);
Ok(HouseholderWork {
n,
m,
layout,
tau,
work,
})
}
fn calc(&mut self, a: &mut [Self::Elem]) -> Result<&[Self::Elem]> {
let lwork = self.work.len().to_i32().unwrap();
let mut info = 0;
match self.layout {
MatrixLayout::F { .. } => unsafe {
$qrf(
&self.m,
&self.n,
AsPtr::as_mut_ptr(a),
&self.m,
AsPtr::as_mut_ptr(&mut self.tau),
AsPtr::as_mut_ptr(&mut self.work),
&lwork,
&mut info,
);
},
MatrixLayout::C { .. } => unsafe {
$lqf(
&self.m,
&self.n,
AsPtr::as_mut_ptr(a),
&self.m,
AsPtr::as_mut_ptr(&mut self.tau),
AsPtr::as_mut_ptr(&mut self.work),
&lwork,
&mut info,
);
},
}
info.as_lapack_result()?;
Ok(unsafe { self.tau.slice_assume_init_ref() })
}
fn eval(mut self, a: &mut [Self::Elem]) -> Result<Vec<Self::Elem>> {
let _eig = self.calc(a)?;
Ok(unsafe { self.tau.assume_init() })
}
}
};
}
impl_householder_work!(c64, lapack_sys::zgeqrf_, lapack_sys::zgelqf_);
impl_householder_work!(c32, lapack_sys::cgeqrf_, lapack_sys::cgelqf_);
impl_householder_work!(f64, lapack_sys::dgeqrf_, lapack_sys::dgelqf_);
impl_householder_work!(f32, lapack_sys::sgeqrf_, lapack_sys::sgelqf_);
pub struct QWork<T: Scalar> {
pub layout: MatrixLayout,
pub work: Vec<MaybeUninit<T>>,
}
pub trait QWorkImpl: Sized {
type Elem: Scalar;
fn new(layout: MatrixLayout) -> Result<Self>;
fn calc(&mut self, a: &mut [Self::Elem], tau: &[Self::Elem]) -> Result<()>;
}
macro_rules! impl_q_work {
($s:ty, $gqr:path, $glq:path) => {
impl QWorkImpl for QWork<$s> {
type Elem = $s;
fn new(layout: MatrixLayout) -> Result<Self> {
let m = layout.lda();
let n = layout.len();
let k = m.min(n);
let mut info = 0;
let mut work_size = [Self::Elem::zero()];
match layout {
MatrixLayout::F { .. } => unsafe {
$gqr(
&m,
&k,
&k,
std::ptr::null_mut(),
&m,
std::ptr::null_mut(),
AsPtr::as_mut_ptr(&mut work_size),
&(-1),
&mut info,
)
},
MatrixLayout::C { .. } => unsafe {
$glq(
&k,
&n,
&k,
std::ptr::null_mut(),
&m,
std::ptr::null_mut(),
AsPtr::as_mut_ptr(&mut work_size),
&(-1),
&mut info,
)
},
}
let lwork = work_size[0].to_usize().unwrap();
let work = vec_uninit(lwork);
Ok(QWork { layout, work })
}
fn calc(&mut self, a: &mut [Self::Elem], tau: &[Self::Elem]) -> Result<()> {
let m = self.layout.lda();
let n = self.layout.len();
let k = m.min(n);
let lwork = self.work.len().to_i32().unwrap();
let mut info = 0;
match self.layout {
MatrixLayout::F { .. } => unsafe {
$gqr(
&m,
&k,
&k,
AsPtr::as_mut_ptr(a),
&m,
AsPtr::as_ptr(&tau),
AsPtr::as_mut_ptr(&mut self.work),
&lwork,
&mut info,
)
},
MatrixLayout::C { .. } => unsafe {
$glq(
&k,
&n,
&k,
AsPtr::as_mut_ptr(a),
&m,
AsPtr::as_ptr(&tau),
AsPtr::as_mut_ptr(&mut self.work),
&lwork,
&mut info,
)
},
}
info.as_lapack_result()?;
Ok(())
}
}
};
}
impl_q_work!(c64, lapack_sys::zungqr_, lapack_sys::zunglq_);
impl_q_work!(c32, lapack_sys::cungqr_, lapack_sys::cunglq_);
impl_q_work!(f64, lapack_sys::dorgqr_, lapack_sys::dorglq_);
impl_q_work!(f32, lapack_sys::sorgqr_, lapack_sys::sorglq_);