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24 changes: 12 additions & 12 deletions lax/src/eig.rs
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
//! Eigenvalue decomposition for general matrices

use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand Down Expand Up @@ -33,16 +33,16 @@ macro_rules! impl_eig_complex {
} else {
(b'N', b'N')
};
let mut eigs = vec![Self::Complex::zero(); n as usize];
let mut rwork = vec![Self::Real::zero(); 2 * n as usize];
let mut eigs = unsafe { vec_uninit(n as usize) };
let mut rwork = unsafe { vec_uninit(2 * n as usize) };

let mut vl = if jobvl == b'V' {
Some(vec![Self::Complex::zero(); (n * n) as usize])
Some(unsafe { vec_uninit((n * n) as usize) })
} else {
None
};
let mut vr = if jobvr == b'V' {
Some(vec![Self::Complex::zero(); (n * n) as usize])
Some(unsafe { vec_uninit((n * n) as usize) })
} else {
None
};
Expand Down Expand Up @@ -72,7 +72,7 @@ macro_rules! impl_eig_complex {

// actal ev
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$ev(
jobvl,
Expand Down Expand Up @@ -128,16 +128,16 @@ macro_rules! impl_eig_real {
} else {
(b'N', b'N')
};
let mut eig_re = vec![Self::zero(); n as usize];
let mut eig_im = vec![Self::zero(); n as usize];
let mut eig_re = unsafe { vec_uninit(n as usize) };
let mut eig_im = unsafe { vec_uninit(n as usize) };

let mut vl = if jobvl == b'V' {
Some(vec![Self::zero(); (n * n) as usize])
Some(unsafe { vec_uninit((n * n) as usize) })
} else {
None
};
let mut vr = if jobvr == b'V' {
Some(vec![Self::zero(); (n * n) as usize])
Some(unsafe { vec_uninit((n * n) as usize) })
} else {
None
};
Expand Down Expand Up @@ -167,7 +167,7 @@ macro_rules! impl_eig_real {

// actual ev
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$ev(
jobvl,
Expand Down Expand Up @@ -219,7 +219,7 @@ macro_rules! impl_eig_real {
// ```
let n = n as usize;
let v = vr.or(vl).unwrap();
let mut eigvecs = vec![Self::Complex::zero(); n * n];
let mut eigvecs = unsafe { vec_uninit(n * n) };
let mut is_conjugate_pair = false; // flag for check `j` is complex conjugate
for j in 0..n {
if eig_im[j] == 0.0 {
Expand Down
12 changes: 6 additions & 6 deletions lax/src/eigh.rs
Original file line number Diff line number Diff line change
Expand Up @@ -42,10 +42,10 @@ macro_rules! impl_eigh {
assert_eq!(layout.len(), layout.lda());
let n = layout.len();
let jobz = if calc_v { b'V' } else { b'N' };
let mut eigs = vec![Self::Real::zero(); n as usize];
let mut eigs = unsafe { vec_uninit(n as usize) };

$(
let mut $rwork_ident = vec![Self::Real::zero(); 3 * n as usize - 2];
let mut $rwork_ident = unsafe { vec_uninit(3 * n as usize - 2 as usize) };
)*

// calc work size
Expand All @@ -69,7 +69,7 @@ macro_rules! impl_eigh {

// actual ev
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$ev(
jobz,
Expand Down Expand Up @@ -98,10 +98,10 @@ macro_rules! impl_eigh {
assert_eq!(layout.len(), layout.lda());
let n = layout.len();
let jobz = if calc_v { b'V' } else { b'N' };
let mut eigs = vec![Self::Real::zero(); n as usize];
let mut eigs = unsafe { vec_uninit(n as usize) };

$(
let mut $rwork_ident = vec![Self::Real::zero(); 3 * n as usize - 2];
let mut $rwork_ident = unsafe { vec_uninit(3 * n as usize - 2) };
)*

// calc work size
Expand All @@ -128,7 +128,7 @@ macro_rules! impl_eigh {

// actual evg
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$evg(
&[1],
Expand Down
14 changes: 7 additions & 7 deletions lax/src/least_squares.rs
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
//! Least squares

use crate::{error::*, layout::*};
use crate::{error::*, layout::*, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand Down Expand Up @@ -68,7 +68,7 @@ macro_rules! impl_least_squares {
let mut a_t = None;
let a_layout = match a_layout {
MatrixLayout::C { .. } => {
a_t = Some(vec![Self::zero(); a.len()]);
a_t = Some(unsafe { vec_uninit( a.len()) });
transpose(a_layout, a, a_t.as_mut().unwrap())
}
MatrixLayout::F { .. } => a_layout,
Expand All @@ -78,14 +78,14 @@ macro_rules! impl_least_squares {
let mut b_t = None;
let b_layout = match b_layout {
MatrixLayout::C { .. } => {
b_t = Some(vec![Self::zero(); b.len()]);
b_t = Some(unsafe { vec_uninit( b.len()) });
transpose(b_layout, b, b_t.as_mut().unwrap())
}
MatrixLayout::F { .. } => b_layout,
};

let rcond: Self::Real = -1.;
let mut singular_values: Vec<Self::Real> = vec![Self::Real::zero(); k as usize];
let mut singular_values: Vec<Self::Real> = unsafe { vec_uninit( k as usize) };
let mut rank: i32 = 0;

// eval work size
Expand Down Expand Up @@ -118,12 +118,12 @@ macro_rules! impl_least_squares {

// calc
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit( lwork) };
let liwork = iwork_size[0].to_usize().unwrap();
let mut iwork = vec![0; liwork];
let mut iwork = unsafe { vec_uninit( liwork) };
$(
let lrwork = $rwork[0].to_usize().unwrap();
let mut $rwork = vec![Self::Real::zero(); lrwork];
let mut $rwork = unsafe { vec_uninit( lrwork) };
)*
unsafe {
$gelsd(
Expand Down
12 changes: 12 additions & 0 deletions lax/src/lib.rs
Original file line number Diff line number Diff line change
Expand Up @@ -168,3 +168,15 @@ impl NormType {
}
}
}

/// Create a vector without initialization
///
/// Safety
/// ------
/// - Memory is not initialized. Do not read the memory before write.
///
unsafe fn vec_uninit<T: Sized>(n: usize) -> Vec<T> {
let mut v = Vec::with_capacity(n);
v.set_len(n);
v
}
5 changes: 2 additions & 3 deletions lax/src/opnorm.rs
Original file line number Diff line number Diff line change
@@ -1,9 +1,8 @@
//! Operator norms of matrices

use super::NormType;
use crate::layout::MatrixLayout;
use crate::{layout::MatrixLayout, *};
use cauchy::*;
use num_traits::Zero;

pub trait OperatorNorm_: Scalar {
fn opnorm(t: NormType, l: MatrixLayout, a: &[Self]) -> Self::Real;
Expand All @@ -20,7 +19,7 @@ macro_rules! impl_opnorm {
MatrixLayout::C { .. } => t.transpose(),
};
let mut work = if matches!(t, NormType::Infinity) {
vec![Self::Real::zero(); m as usize]
unsafe { vec_uninit(m as usize) }
} else {
Vec::new()
};
Expand Down
8 changes: 4 additions & 4 deletions lax/src/qr.rs
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
//! QR decomposition

use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand All @@ -25,7 +25,7 @@ macro_rules! impl_qr {
let m = l.lda();
let n = l.len();
let k = m.min(n);
let mut tau = vec![Self::zero(); k as usize];
let mut tau = unsafe { vec_uninit(k as usize) };

// eval work size
let mut info = 0;
Expand All @@ -44,7 +44,7 @@ macro_rules! impl_qr {

// calc
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
match l {
MatrixLayout::F { .. } => {
Expand Down Expand Up @@ -100,7 +100,7 @@ macro_rules! impl_qr {

// calc
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
match l {
MatrixLayout::F { .. } => {
Expand Down
11 changes: 5 additions & 6 deletions lax/src/rcond.rs
Original file line number Diff line number Diff line change
@@ -1,5 +1,4 @@
use super::*;
use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::Zero;

Expand All @@ -18,8 +17,8 @@ macro_rules! impl_rcond_real {
let mut rcond = Self::Real::zero();
let mut info = 0;

let mut work = vec![Self::zero(); 4 * n as usize];
let mut iwork = vec![0; n as usize];
let mut work = unsafe { vec_uninit(4 * n as usize) };
let mut iwork = unsafe { vec_uninit(n as usize) };
let norm_type = match l {
MatrixLayout::C { .. } => NormType::Infinity,
MatrixLayout::F { .. } => NormType::One,
Expand Down Expand Up @@ -55,8 +54,8 @@ macro_rules! impl_rcond_complex {
let (n, _) = l.size();
let mut rcond = Self::Real::zero();
let mut info = 0;
let mut work = vec![Self::zero(); 2 * n as usize];
let mut rwork = vec![Self::Real::zero(); 2 * n as usize];
let mut work = unsafe { vec_uninit(2 * n as usize) };
let mut rwork = unsafe { vec_uninit(2 * n as usize) };
let norm_type = match l {
MatrixLayout::C { .. } => NormType::Infinity,
MatrixLayout::F { .. } => NormType::One,
Expand Down
7 changes: 3 additions & 4 deletions lax/src/solve.rs
Original file line number Diff line number Diff line change
@@ -1,7 +1,6 @@
//! Solve linear problem using LU decomposition

use super::*;
use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand Down Expand Up @@ -34,7 +33,7 @@ macro_rules! impl_solve {
return Ok(Vec::new());
}
let k = ::std::cmp::min(row, col);
let mut ipiv = vec![0; k as usize];
let mut ipiv = unsafe { vec_uninit(k as usize) };
let mut info = 0;
unsafe { $getrf(l.lda(), l.len(), a, l.lda(), &mut ipiv, &mut info) };
info.as_lapack_result()?;
Expand All @@ -52,7 +51,7 @@ macro_rules! impl_solve {

// actual
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$getri(
l.len(),
Expand Down
9 changes: 4 additions & 5 deletions lax/src/solveh.rs
Original file line number Diff line number Diff line change
Expand Up @@ -2,8 +2,7 @@
//!
//! See also [the manual of dsytrf](http://www.netlib.org/lapack/lapack-3.1.1/html/dsytrf.f.html)

use super::*;
use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand All @@ -21,7 +20,7 @@ macro_rules! impl_solveh {
impl Solveh_ for $scalar {
fn bk(l: MatrixLayout, uplo: UPLO, a: &mut [Self]) -> Result<Pivot> {
let (n, _) = l.size();
let mut ipiv = vec![0; n as usize];
let mut ipiv = unsafe { vec_uninit(n as usize) };
if n == 0 {
return Ok(Vec::new());
}
Expand All @@ -45,7 +44,7 @@ macro_rules! impl_solveh {

// actual
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit(lwork) };
unsafe {
$trf(
uplo as u8,
Expand All @@ -65,7 +64,7 @@ macro_rules! impl_solveh {
fn invh(l: MatrixLayout, uplo: UPLO, a: &mut [Self], ipiv: &Pivot) -> Result<()> {
let (n, _) = l.size();
let mut info = 0;
let mut work = vec![Self::zero(); n as usize];
let mut work = unsafe { vec_uninit(n as usize) };
unsafe { $tri(uplo as u8, n, a, l.lda(), ipiv, &mut work, &mut info) };
info.as_lapack_result()?;
Ok(())
Expand Down
12 changes: 6 additions & 6 deletions lax/src/svd.rs
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
//! Singular-value decomposition

use crate::{error::*, layout::MatrixLayout};
use crate::{error::*, layout::MatrixLayout, *};
use cauchy::*;
use num_traits::{ToPrimitive, Zero};

Expand Down Expand Up @@ -61,21 +61,21 @@ macro_rules! impl_svd {

let m = l.lda();
let mut u = match ju {
FlagSVD::All => Some(vec![Self::zero(); (m * m) as usize]),
FlagSVD::All => Some(unsafe { vec_uninit( (m * m) as usize) }),
FlagSVD::No => None,
};

let n = l.len();
let mut vt = match jvt {
FlagSVD::All => Some(vec![Self::zero(); (n * n) as usize]),
FlagSVD::All => Some(unsafe { vec_uninit( (n * n) as usize) }),
FlagSVD::No => None,
};

let k = std::cmp::min(m, n);
let mut s = vec![Self::Real::zero(); k as usize];
let mut s = unsafe { vec_uninit( k as usize) };

$(
let mut $rwork_ident = vec![Self::Real::zero(); 5 * k as usize];
let mut $rwork_ident = unsafe { vec_uninit( 5 * k as usize) };
)*

// eval work size
Expand Down Expand Up @@ -104,7 +104,7 @@ macro_rules! impl_svd {

// calc
let lwork = work_size[0].to_usize().unwrap();
let mut work = vec![Self::zero(); lwork];
let mut work = unsafe { vec_uninit( lwork) };
unsafe {
$gesvd(
ju as u8,
Expand Down
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