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//! Implementation of ?sytrs/?hetrs - Solve a system of linear equations using symmetric/Hermitian factorization.
use lapack::{chetrs, dsytrs, ssytrs, zhetrs};
use crate::base_types::{c32, c64};
use crate::dense::linalg::lapack::interface::lapack_return;
use crate::dense::linalg::lapack::interface::sytrf::SytrfUplo;
use crate::{base_types::LapackResult, traits::rlst_num::RlstScalar};
/// ?sytrs/?hetrs - Solve a system of linear equations using symmetric/Hermitian factorization.
pub trait Sytrs: RlstScalar {
/// Solve from packed factors produced by [`super::sytrf::Sytrf::sytrf`].
///
/// `a` and `ipiv` are unchanged. The column-major `n x nrhs` array B is
/// overwritten by the solution. `uplo` must match the factorization.
/// Invalid slice lengths or leading dimensions panic; LAPACK failures are
/// returned as errors.
#[allow(clippy::too_many_arguments)]
fn sytrs(
uplo: SytrfUplo,
n: usize,
nrhs: usize,
a: &[Self],
lda: usize,
ipiv: &[i32],
b: &mut [Self],
ldb: usize,
) -> LapackResult<()>;
}
macro_rules! implement_sytrs {
($scalar:ty, $sytrs:expr) => {
impl Sytrs for $scalar {
fn sytrs(
uplo: SytrfUplo,
n: usize,
nrhs: usize,
a: &[Self],
lda: usize,
ipiv: &[i32],
b: &mut [Self],
ldb: usize,
) -> LapackResult<()> {
let mut info = 0;
assert!(
lda >= std::cmp::max(1, n),
"Require `lda` {} >= `max(1, N)` {} .",
lda,
std::cmp::max(1, n)
);
assert_eq!(
a.len(),
lda * n,
"Require `a.len()` {} == `lda * n` {}.",
a.len(),
lda * n,
);
assert_eq!(
ipiv.len(),
n,
"Require `ipiv.len()` {} == `n` {}.",
ipiv.len(),
n,
);
assert!(
ldb >= std::cmp::max(1, n),
"Require `ldb` {} >= `max(1, N)` {} .",
ldb,
std::cmp::max(1, n)
);
assert_eq!(
b.len(),
ldb * nrhs,
"Require `b.len()` {} == `ldb * nrhs` {}.",
b.len(),
ldb * nrhs,
);
unsafe {
$sytrs(
uplo as u8,
n as i32,
nrhs as i32,
a,
lda as i32,
ipiv,
b,
ldb as i32,
&mut info,
);
}
lapack_return(info, ())
}
}
};
}
implement_sytrs!(f32, ssytrs);
implement_sytrs!(f64, dsytrs);
implement_sytrs!(c32, chetrs);
implement_sytrs!(c64, zhetrs);