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use std::cmp;
use std::mem;
use libc::c_int;
use num::complex::{
Complex32,
Complex64,
};
use error::Error;
use ll::*;
use matrix::{
Matrix,
};
use scalar::Scalar;
use types::Layout;
use util::transpose_data;
pub trait Gels: Sized {
fn gels(layout: Layout, a: &mut Matrix<Self>, b: &mut Matrix<Self>) -> Result<(), Error>;
fn gels_work(layout: Layout, a: &mut Matrix<Self>, b: &mut Matrix<Self>, work: &mut [Self]) -> Result<(), Error>;
fn gels_work_len(a: &mut Matrix<Self>, b: &mut Matrix<Self>) -> Result<usize, Error>;
}
macro_rules! least_sq_impl(($($t: ident), +) => ($(
impl Gels for $t {
fn gels(layout: Layout, a: &mut Matrix<Self>, b: &mut Matrix<Self>) -> Result<(), Error> {
let work_len = try!(Gels::gels_work_len(a, b));
let mut work: Vec<$t> = Vec::with_capacity(work_len as usize);
unsafe {
work.set_len(work_len as usize);
}
Gels::gels_work(layout, a, b, &mut work[..])
}
fn gels_work(layout: Layout, a: &mut Matrix<Self>, b: &mut Matrix<Self>, work: &mut [Self]) -> Result<(), Error> {
let mut info: c_int = 0;
let m = a.rows();
let n = a.cols();
let nrhs = b.cols();
match layout {
Layout::ColMajor => unsafe {
let lda = m;
let ldb = b.rows();
prefix!($t, gels_)(
a.transpose().as_i8().as_mut(),
m.as_mut(), n.as_mut(),
nrhs.as_mut(),
a.as_mut_ptr(), lda.as_mut(),
b.as_mut_ptr(), ldb.as_mut(),
work.as_mut_ptr(), (work.len() as c_int).as_mut(),
&mut info as *mut c_int);
},
Layout::RowMajor => {
let lda = n;
let ldb = nrhs;
let mrhs = cmp::max(m, n);
let lda_t = cmp::max(1, m);
let ldb_t = cmp::max(1, mrhs);
let a_t_len = (lda_t * cmp::max(1, n)) as usize;
let b_t_len = (ldb_t * cmp::max(1, nrhs)) as usize;
let mut a_t = Vec::with_capacity(a_t_len);
let mut b_t = Vec::with_capacity(b_t_len);
unsafe {
a_t.set_len(a_t_len);
b_t.set_len(b_t_len);
transpose_data(Layout::RowMajor, m as isize, n as isize, a.as_ptr(), lda as isize, a_t.as_mut_ptr(), lda_t as isize);
transpose_data(Layout::RowMajor, mrhs as isize, nrhs as isize, b.as_ptr(), ldb as isize, b_t.as_mut_ptr(), ldb_t as isize);
prefix!($t, gels_)(
a.transpose().as_i8().as_mut(),
m.as_mut(), n.as_mut(),
nrhs.as_mut(),
a_t.as_mut_ptr(), lda_t.as_mut(),
b_t.as_mut_ptr(), ldb_t.as_mut(),
work.as_mut_ptr(), (work.len() as c_int).as_mut(),
&mut info as *mut c_int);
transpose_data(Layout::ColMajor, m as isize, n as isize, a_t.as_ptr(), lda_t as isize, a.as_mut_ptr(), lda as isize);
transpose_data(Layout::ColMajor, mrhs as isize, nrhs as isize, b_t.as_ptr(), ldb_t as isize, b.as_mut_ptr(), ldb as isize);
}
}
}
match info {
0 => Ok(()),
x if x < 0 => Err(Error::IllegalParameter(-x as usize)),
x => Err(Error::DiagonalElementZero(x as usize)),
}
}
fn gels_work_len(a: &mut Matrix<Self>, b: &mut Matrix<Self>) -> Result<usize, Error> {
let mut info: c_int = 0;
let mut len_info: $t = unsafe { mem::zeroed() };
let len_ptr = (&mut len_info) as *mut $t;
let m = a.rows();
let n = a.cols();
let nrhs = b.cols();
let lda_t = cmp::max(1, m);
let ldb_t = cmp::max(1, cmp::max(m, n));
unsafe {
prefix!($t, gels_)(
a.transpose().as_i8().as_mut(),
m.as_mut(), n.as_mut(),
nrhs.as_mut(),
a.as_mut_ptr(), lda_t.as_mut(),
b.as_mut_ptr(), ldb_t.as_mut(),
len_ptr, (-1 as c_int).as_mut(),
&mut info as *mut c_int);
};
match info {
0 => Ok(len_info.as_work()),
x if x < 0 => Err(Error::IllegalParameter(-x as usize)),
x => Err(Error::DiagonalElementZero(x as usize)),
}
}
}
)+));
least_sq_impl!(f32, f64, Complex32, Complex64);
#[cfg(test)]
mod gesv_tests {
use types::Layout::*;
use least_squares::Gels;
#[test]
fn col_major() {
let mut a = (3i32, 2i32, vec![2.0f32,4.0,7.0,3.0,9.0,4.0]);
let mut b = (3i32, 2i32, vec![2.0f32,4.0,7.0,6.0,18.0,8.0]);
Gels::gels(ColMajor, &mut a, &mut b).unwrap();
let (_, _, x) = b;
assert_eq!(x, vec![1.0, 0.0, 0.0, 0.0, 2.0, 0.0]);
}
#[test]
fn row_major() {
let mut a = (3i32, 2i32, vec![2.0f32,3.0,4.0,9.0,7.0,4.0]);
let mut b = (3i32, 2i32, vec![2.0f32,3.0,4.0,9.0,7.0,4.0]);
Gels::gels(RowMajor, &mut a, &mut b).unwrap();
let (_, _, x) = b;
assert_eq!(x, vec![1.0, 0.0, 0.0, 1.0, 0.0, 0.0]);
}
}