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use num::complex::{
Complex32,
Complex64,
};
use libc::c_int;
use ll::*;
use matrix::{
Matrix,
BandMatrix,
SymmetricMatrix,
TridiagonalMatrix,
};
use scalar::Scalar;
use types::Symmetry;
pub trait Gesv {
fn gesv(a: &mut Matrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
pub trait Gbsv {
fn gbsv(a: &mut BandMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
pub trait Gtsv {
fn gtsv(a: &mut TridiagonalMatrix<Self>, b: &mut Matrix<Self>);
}
pub trait Posv {
fn posv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>);
}
pub trait Ppsv {
fn ppsv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>);
}
pub trait Pbsv<M> where M: SymmetricMatrix<Self> + BandMatrix<Self> {
fn pbsv(a: &mut M, b: &mut Matrix<Self>);
}
pub trait Ptsv<M> where M: TridiagonalMatrix<Self> + SymmetricMatrix<Self> {
fn ptsv(a: &mut M, b: &mut Matrix<Self>);
}
pub trait Sysv {
fn sysv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
pub trait Hesv {
fn hesv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
pub trait Spsv {
fn spsv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
pub trait Hpsv {
fn hpsv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>);
}
macro_rules! lin_eq_impl(($($t: ident), +) => ($(
impl Gesv for $t {
fn gesv(a: &mut Matrix<$t>, b: &mut Matrix<$t>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, gesv_)(a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Gbsv for $t {
fn gbsv(a: &mut BandMatrix<$t>, b: &mut Matrix<$t>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, gbsv_)(a.cols().as_mut(),
a.sub_diagonals().as_mut(), a.sup_diagonals().as_mut(),
b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Gtsv for $t {
fn gtsv(a: &mut TridiagonalMatrix<Self>, b: &mut Matrix<Self>) {
unsafe {
let mut info: c_int = 0;
let (sup, diag, sub) = a.as_mut_ptrs();
prefix!($t, gtsv_)(a.cols().as_mut(), b.cols().as_mut(),
sup, diag, sub,
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Posv for $t {
fn posv(a: &mut SymmetricMatrix<$t>, b: &mut Matrix<$t>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, posv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Ppsv for $t {
fn ppsv(a: &mut SymmetricMatrix<$t>, b: &mut Matrix<$t>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, ppsv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl<M> Pbsv<M> for $t where M: SymmetricMatrix<$t> + BandMatrix<$t> {
fn pbsv(a: &mut M, b: &mut Matrix<$t>) {
unsafe {
let mut info: c_int = 0;
let diag = match a.symmetry() {
Symmetry::Upper => a.sup_diagonals(),
Symmetry::Lower => a.sub_diagonals(),
};
prefix!($t, pbsv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), diag.as_mut(),
b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Sysv for $t {
fn sysv(a: &mut SymmetricMatrix<$t>, b: &mut Matrix<$t>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
let n = a.cols() as usize;
let mut work: Vec<$t> = Vec::with_capacity(n);
prefix!($t, sysv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
(&mut work[..]).as_mut_ptr(), a.cols().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Spsv for $t {
fn spsv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, spsv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
)+));
macro_rules! complex_lin_eq_impl(($($t: ident), +) => ($(
impl Hesv for $t {
fn hesv(a: &mut SymmetricMatrix<$t>, b: &mut Matrix<$t>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
let n = a.cols() as usize;
let mut work: Vec<$t> = Vec::with_capacity(n);
prefix!($t, hesv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(), a.rows().as_mut(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
(&mut work[..]).as_mut_ptr(), a.cols().as_mut(),
&mut info as *mut c_int);
}
}
}
impl Hpsv for $t {
fn hpsv(a: &mut SymmetricMatrix<Self>, b: &mut Matrix<Self>, p: &mut Matrix<c_int>) {
unsafe {
let mut info: c_int = 0;
prefix!($t, hpsv_)(a.symmetry().as_i8().as_mut(),
a.cols().as_mut(), b.cols().as_mut(),
a.as_mut_ptr(),
p.as_mut_ptr(),
b.as_mut_ptr(), b.rows().as_mut(),
&mut info as *mut c_int);
}
}
}
)+));
lin_eq_impl!(f32, f64, Complex32, Complex64);
complex_lin_eq_impl!(Complex32, Complex64);
#[cfg(test)]
mod gesv_tests {
use linear_equations::Gesv;
#[test]
fn real() {
let mut a = (2i32, 2i32, vec![1.0f64, 4.0, 1.0, 2.0]);
let mut b = (2i32, 1i32, vec![-2.0f64, 2.0]);
let mut p = (2i32, 2i32, vec![0i32, 0]);
Gesv::gesv(&mut a, &mut b, &mut p);
let (_, _, x) = b;
assert_eq!(x, vec![3.0f64, -5.0]);
}
}