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//! Implement linear solver and inverse matrix

use lapacke;

use super::{into_result, Transpose, UPLO};

use crate::error::*;
use crate::layout::MatrixLayout;
use crate::types::*;

#[derive(Debug, Clone, Copy)]
#[repr(u8)]
pub enum Diag {
    Unit = b'U',
    NonUnit = b'N',
}

/// Wraps `*trtri` and `*trtrs`
pub trait Triangular_: Sized {
    unsafe fn inv_triangular(l: MatrixLayout, uplo: UPLO, d: Diag, a: &mut [Self]) -> Result<()>;
    unsafe fn solve_triangular(
        al: MatrixLayout,
        bl: MatrixLayout,
        uplo: UPLO,
        d: Diag,
        a: &[Self],
        b: &mut [Self],
    ) -> Result<()>;
}

macro_rules! impl_triangular {
    ($scalar:ty, $trtri:path, $trtrs:path) => {
        impl Triangular_ for $scalar {
            unsafe fn inv_triangular(l: MatrixLayout, uplo: UPLO, diag: Diag, a: &mut [Self]) -> Result<()> {
                let (n, _) = l.size();
                let lda = l.lda();
                let info = $trtri(l.lapacke_layout(), uplo as u8, diag as u8, n, a, lda);
                into_result(info, ())
            }

            unsafe fn solve_triangular(
                al: MatrixLayout,
                bl: MatrixLayout,
                uplo: UPLO,
                diag: Diag,
                a: &[Self],
                mut b: &mut [Self],
            ) -> Result<()> {
                let (n, _) = al.size();
                let lda = al.lda();
                let (_, nrhs) = bl.size();
                let ldb = bl.lda();
                let info = $trtrs(
                    al.lapacke_layout(),
                    uplo as u8,
                    Transpose::No as u8,
                    diag as u8,
                    n,
                    nrhs,
                    a,
                    lda,
                    &mut b,
                    ldb,
                );
                into_result(info, ())
            }
        }
    };
} // impl_triangular!

impl_triangular!(f64, lapacke::dtrtri, lapacke::dtrtrs);
impl_triangular!(f32, lapacke::strtri, lapacke::strtrs);
impl_triangular!(c64, lapacke::ztrtri, lapacke::ztrtrs);
impl_triangular!(c32, lapacke::ctrtri, lapacke::ctrtrs);