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Reorganize matrix construction macros.

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This commit is contained in:
Crozet Sébastien 2020-11-13 18:34:47 +01:00
parent 4c2192d9e0
commit 9a4cf0b69f
2 changed files with 316 additions and 269 deletions
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518
src/base/construction.rs
View File

@ -22,11 +22,12 @@ use crate::base::dimension::{Dim, DimName, Dynamic, U1, U2, U3, U4, U5, U6};
use crate::base::storage::Storage;
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Scalar, Unit, Vector, VectorN};
/*
*
* Generic constructors.
*
*/
/// # Generic constructors
/// This set of matrix and vector construction functions are all generic
/// with-regard to the matrix dimensions. They all expect to be given
/// the dimension as inputs.
///
/// These functions should only be used when working on dimension-generic code.
impl<N: Scalar, R: Dim, C: Dim> MatrixMN<N, R, C>
where
DefaultAllocator: Allocator<N, R, C>,
@ -350,275 +351,290 @@ where
*/
macro_rules! impl_constructors(
($($Dims: ty),*; $(=> $DimIdent: ident: $DimBound: ident),*; $($gargs: expr),*; $($args: ident),*) => {
impl<N: Scalar, $($DimIdent: $DimBound, )*> MatrixMN<N $(, $Dims)*>
where DefaultAllocator: Allocator<N $(, $Dims)*> {
/// Creates a new uninitialized matrix or vector.
#[inline]
pub unsafe fn new_uninitialized($($args: usize),*) -> Self {
Self::new_uninitialized_generic($($gargs),*)
}
/// Creates a matrix or vector with all its elements set to `elem`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::from_element(2.0);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_element(3, 2.0);
/// let m = Matrix2x3::from_element(2.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_element(2, 3, 2.0);
///
/// assert!(v.x == 2.0 && v.y == 2.0 && v.z == 2.0);
/// assert!(dv[0] == 2.0 && dv[1] == 2.0 && dv[2] == 2.0);
/// assert!(m.m11 == 2.0 && m.m12 == 2.0 && m.m13 == 2.0 &&
/// m.m21 == 2.0 && m.m22 == 2.0 && m.m23 == 2.0);
/// assert!(dm[(0, 0)] == 2.0 && dm[(0, 1)] == 2.0 && dm[(0, 2)] == 2.0 &&
/// dm[(1, 0)] == 2.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 2.0);
/// ```
#[inline]
pub fn from_element($($args: usize,)* elem: N) -> Self {
Self::from_element_generic($($gargs, )* elem)
}
/// Creates a matrix or vector with all its elements set to `elem`.
///
/// Same as `.from_element`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::repeat(2.0);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::repeat(3, 2.0);
/// let m = Matrix2x3::repeat(2.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::repeat(2, 3, 2.0);
///
/// assert!(v.x == 2.0 && v.y == 2.0 && v.z == 2.0);
/// assert!(dv[0] == 2.0 && dv[1] == 2.0 && dv[2] == 2.0);
/// assert!(m.m11 == 2.0 && m.m12 == 2.0 && m.m13 == 2.0 &&
/// m.m21 == 2.0 && m.m22 == 2.0 && m.m23 == 2.0);
/// assert!(dm[(0, 0)] == 2.0 && dm[(0, 1)] == 2.0 && dm[(0, 2)] == 2.0 &&
/// dm[(1, 0)] == 2.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 2.0);
/// ```
#[inline]
pub fn repeat($($args: usize,)* elem: N) -> Self {
Self::repeat_generic($($gargs, )* elem)
}
/// Creates a matrix or vector with all its elements set to `0`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::<f32>::zeros();
/// // The argument represents the vector dimension.
/// let dv = DVector::<f32>::zeros(3);
/// let m = Matrix2x3::<f32>::zeros();
/// // The two arguments represent the matrix dimensions.
/// let dm = DMatrix::<f32>::zeros(2, 3);
///
/// assert!(v.x == 0.0 && v.y == 0.0 && v.z == 0.0);
/// assert!(dv[0] == 0.0 && dv[1] == 0.0 && dv[2] == 0.0);
/// assert!(m.m11 == 0.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 0.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 0.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 0.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn zeros($($args: usize),*) -> Self
where N: Zero {
Self::zeros_generic($($gargs),*)
}
/// Creates a matrix or vector with all its elements filled by an iterator.
///
/// The output matrix is filled column-by-column.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
/// # use std::iter;
///
/// let v = Vector3::from_iterator((0..3).into_iter());
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_iterator(3, (0..3).into_iter());
/// let m = Matrix2x3::from_iterator((0..6).into_iter());
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_iterator(2, 3, (0..6).into_iter());
///
/// assert!(v.x == 0 && v.y == 1 && v.z == 2);
/// assert!(dv[0] == 0 && dv[1] == 1 && dv[2] == 2);
/// assert!(m.m11 == 0 && m.m12 == 2 && m.m13 == 4 &&
/// m.m21 == 1 && m.m22 == 3 && m.m23 == 5);
/// assert!(dm[(0, 0)] == 0 && dm[(0, 1)] == 2 && dm[(0, 2)] == 4 &&
/// dm[(1, 0)] == 1 && dm[(1, 1)] == 3 && dm[(1, 2)] == 5);
/// ```
#[inline]
pub fn from_iterator<I>($($args: usize,)* iter: I) -> Self
where I: IntoIterator<Item = N> {
Self::from_iterator_generic($($gargs, )* iter)
}
/// Creates a matrix or vector filled with the results of a function applied to each of its
/// component coordinates.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
/// # use std::iter;
///
/// let v = Vector3::from_fn(|i, _| i);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_fn(3, |i, _| i);
/// let m = Matrix2x3::from_fn(|i, j| i * 3 + j);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_fn(2, 3, |i, j| i * 3 + j);
///
/// assert!(v.x == 0 && v.y == 1 && v.z == 2);
/// assert!(dv[0] == 0 && dv[1] == 1 && dv[2] == 2);
/// assert!(m.m11 == 0 && m.m12 == 1 && m.m13 == 2 &&
/// m.m21 == 3 && m.m22 == 4 && m.m23 == 5);
/// assert!(dm[(0, 0)] == 0 && dm[(0, 1)] == 1 && dm[(0, 2)] == 2 &&
/// dm[(1, 0)] == 3 && dm[(1, 1)] == 4 && dm[(1, 2)] == 5);
/// ```
#[inline]
pub fn from_fn<F>($($args: usize,)* f: F) -> Self
where F: FnMut(usize, usize) -> N {
Self::from_fn_generic($($gargs, )* f)
}
/// Creates an identity matrix. If the matrix is not square, the largest square
/// submatrix (starting at the first row and column) is set to the identity while all
/// other entries are set to zero.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix2x3::<f32>::identity();
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::<f32>::identity(2, 3);
///
/// assert!(m.m11 == 1.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 1.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 1.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 1.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn identity($($args: usize,)*) -> Self
where N: Zero + One {
Self::identity_generic($($gargs),* )
}
/// Creates a matrix filled with its diagonal filled with `elt` and all other
/// components set to zero.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix2x3::from_diagonal_element(5.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_diagonal_element(2, 3, 5.0);
///
/// assert!(m.m11 == 5.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 5.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 5.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 5.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn from_diagonal_element($($args: usize,)* elt: N) -> Self
where N: Zero + One {
Self::from_diagonal_element_generic($($gargs, )* elt)
}
/// Creates a new matrix that may be rectangular. The first `elts.len()` diagonal
/// elements are filled with the content of `elts`. Others are set to 0.
///
/// Panics if `elts.len()` is larger than the minimum among `nrows` and `ncols`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix3::from_partial_diagonal(&[1.0, 2.0]);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_partial_diagonal(3, 3, &[1.0, 2.0]);
///
/// assert!(m.m11 == 1.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 2.0 && m.m23 == 0.0 &&
/// m.m31 == 0.0 && m.m32 == 0.0 && m.m33 == 0.0);
/// assert!(dm[(0, 0)] == 1.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 0.0 &&
/// dm[(2, 0)] == 0.0 && dm[(2, 1)] == 0.0 && dm[(2, 2)] == 0.0);
/// ```
#[inline]
pub fn from_partial_diagonal($($args: usize,)* elts: &[N]) -> Self
where N: Zero {
Self::from_partial_diagonal_generic($($gargs, )* elts)
}
/// Creates a matrix or vector filled with random values from the given distribution.
#[inline]
pub fn from_distribution<Distr: Distribution<N> + ?Sized, G: Rng + ?Sized>(
$($args: usize,)*
distribution: &Distr,
rng: &mut G,
) -> Self {
Self::from_distribution_generic($($gargs, )* distribution, rng)
}
/// Creates a new uninitialized matrix or vector.
#[inline]
pub unsafe fn new_uninitialized($($args: usize),*) -> Self {
Self::new_uninitialized_generic($($gargs),*)
}
impl<N: Scalar, $($DimIdent: $DimBound, )*> MatrixMN<N $(, $Dims)*>
where
DefaultAllocator: Allocator<N $(, $Dims)*>,
Standard: Distribution<N> {
/// Creates a matrix or vector with all its elements set to `elem`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::from_element(2.0);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_element(3, 2.0);
/// let m = Matrix2x3::from_element(2.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_element(2, 3, 2.0);
///
/// assert!(v.x == 2.0 && v.y == 2.0 && v.z == 2.0);
/// assert!(dv[0] == 2.0 && dv[1] == 2.0 && dv[2] == 2.0);
/// assert!(m.m11 == 2.0 && m.m12 == 2.0 && m.m13 == 2.0 &&
/// m.m21 == 2.0 && m.m22 == 2.0 && m.m23 == 2.0);
/// assert!(dm[(0, 0)] == 2.0 && dm[(0, 1)] == 2.0 && dm[(0, 2)] == 2.0 &&
/// dm[(1, 0)] == 2.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 2.0);
/// ```
#[inline]
pub fn from_element($($args: usize,)* elem: N) -> Self {
Self::from_element_generic($($gargs, )* elem)
}
/// Creates a matrix filled with random values.
#[inline]
#[cfg(feature = "std")]
pub fn new_random($($args: usize),*) -> Self {
Self::new_random_generic($($gargs),*)
}
/// Creates a matrix or vector with all its elements set to `elem`.
///
/// Same as `.from_element`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::repeat(2.0);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::repeat(3, 2.0);
/// let m = Matrix2x3::repeat(2.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::repeat(2, 3, 2.0);
///
/// assert!(v.x == 2.0 && v.y == 2.0 && v.z == 2.0);
/// assert!(dv[0] == 2.0 && dv[1] == 2.0 && dv[2] == 2.0);
/// assert!(m.m11 == 2.0 && m.m12 == 2.0 && m.m13 == 2.0 &&
/// m.m21 == 2.0 && m.m22 == 2.0 && m.m23 == 2.0);
/// assert!(dm[(0, 0)] == 2.0 && dm[(0, 1)] == 2.0 && dm[(0, 2)] == 2.0 &&
/// dm[(1, 0)] == 2.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 2.0);
/// ```
#[inline]
pub fn repeat($($args: usize,)* elem: N) -> Self {
Self::repeat_generic($($gargs, )* elem)
}
/// Creates a matrix or vector with all its elements set to `0`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
///
/// let v = Vector3::<f32>::zeros();
/// // The argument represents the vector dimension.
/// let dv = DVector::<f32>::zeros(3);
/// let m = Matrix2x3::<f32>::zeros();
/// // The two arguments represent the matrix dimensions.
/// let dm = DMatrix::<f32>::zeros(2, 3);
///
/// assert!(v.x == 0.0 && v.y == 0.0 && v.z == 0.0);
/// assert!(dv[0] == 0.0 && dv[1] == 0.0 && dv[2] == 0.0);
/// assert!(m.m11 == 0.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 0.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 0.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 0.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn zeros($($args: usize),*) -> Self
where N: Zero {
Self::zeros_generic($($gargs),*)
}
/// Creates a matrix or vector with all its elements filled by an iterator.
///
/// The output matrix is filled column-by-column.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
/// # use std::iter;
///
/// let v = Vector3::from_iterator((0..3).into_iter());
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_iterator(3, (0..3).into_iter());
/// let m = Matrix2x3::from_iterator((0..6).into_iter());
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_iterator(2, 3, (0..6).into_iter());
///
/// assert!(v.x == 0 && v.y == 1 && v.z == 2);
/// assert!(dv[0] == 0 && dv[1] == 1 && dv[2] == 2);
/// assert!(m.m11 == 0 && m.m12 == 2 && m.m13 == 4 &&
/// m.m21 == 1 && m.m22 == 3 && m.m23 == 5);
/// assert!(dm[(0, 0)] == 0 && dm[(0, 1)] == 2 && dm[(0, 2)] == 4 &&
/// dm[(1, 0)] == 1 && dm[(1, 1)] == 3 && dm[(1, 2)] == 5);
/// ```
#[inline]
pub fn from_iterator<I>($($args: usize,)* iter: I) -> Self
where I: IntoIterator<Item = N> {
Self::from_iterator_generic($($gargs, )* iter)
}
/// Creates a matrix or vector filled with the results of a function applied to each of its
/// component coordinates.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, Vector3, DVector, DMatrix};
/// # use std::iter;
///
/// let v = Vector3::from_fn(|i, _| i);
/// // The additional argument represents the vector dimension.
/// let dv = DVector::from_fn(3, |i, _| i);
/// let m = Matrix2x3::from_fn(|i, j| i * 3 + j);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_fn(2, 3, |i, j| i * 3 + j);
///
/// assert!(v.x == 0 && v.y == 1 && v.z == 2);
/// assert!(dv[0] == 0 && dv[1] == 1 && dv[2] == 2);
/// assert!(m.m11 == 0 && m.m12 == 1 && m.m13 == 2 &&
/// m.m21 == 3 && m.m22 == 4 && m.m23 == 5);
/// assert!(dm[(0, 0)] == 0 && dm[(0, 1)] == 1 && dm[(0, 2)] == 2 &&
/// dm[(1, 0)] == 3 && dm[(1, 1)] == 4 && dm[(1, 2)] == 5);
/// ```
#[inline]
pub fn from_fn<F>($($args: usize,)* f: F) -> Self
where F: FnMut(usize, usize) -> N {
Self::from_fn_generic($($gargs, )* f)
}
/// Creates an identity matrix. If the matrix is not square, the largest square
/// submatrix (starting at the first row and column) is set to the identity while all
/// other entries are set to zero.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix2x3::<f32>::identity();
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::<f32>::identity(2, 3);
///
/// assert!(m.m11 == 1.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 1.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 1.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 1.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn identity($($args: usize,)*) -> Self
where N: Zero + One {
Self::identity_generic($($gargs),* )
}
/// Creates a matrix filled with its diagonal filled with `elt` and all other
/// components set to zero.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix2x3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix2x3::from_diagonal_element(5.0);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_diagonal_element(2, 3, 5.0);
///
/// assert!(m.m11 == 5.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 5.0 && m.m23 == 0.0);
/// assert!(dm[(0, 0)] == 5.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 5.0 && dm[(1, 2)] == 0.0);
/// ```
#[inline]
pub fn from_diagonal_element($($args: usize,)* elt: N) -> Self
where N: Zero + One {
Self::from_diagonal_element_generic($($gargs, )* elt)
}
/// Creates a new matrix that may be rectangular. The first `elts.len()` diagonal
/// elements are filled with the content of `elts`. Others are set to 0.
///
/// Panics if `elts.len()` is larger than the minimum among `nrows` and `ncols`.
///
/// # Example
/// ```
/// # use nalgebra::{Matrix3, DMatrix};
/// # use std::iter;
///
/// let m = Matrix3::from_partial_diagonal(&[1.0, 2.0]);
/// // The two additional arguments represent the matrix dimensions.
/// let dm = DMatrix::from_partial_diagonal(3, 3, &[1.0, 2.0]);
///
/// assert!(m.m11 == 1.0 && m.m12 == 0.0 && m.m13 == 0.0 &&
/// m.m21 == 0.0 && m.m22 == 2.0 && m.m23 == 0.0 &&
/// m.m31 == 0.0 && m.m32 == 0.0 && m.m33 == 0.0);
/// assert!(dm[(0, 0)] == 1.0 && dm[(0, 1)] == 0.0 && dm[(0, 2)] == 0.0 &&
/// dm[(1, 0)] == 0.0 && dm[(1, 1)] == 2.0 && dm[(1, 2)] == 0.0 &&
/// dm[(2, 0)] == 0.0 && dm[(2, 1)] == 0.0 && dm[(2, 2)] == 0.0);
/// ```
#[inline]
pub fn from_partial_diagonal($($args: usize,)* elts: &[N]) -> Self
where N: Zero {
Self::from_partial_diagonal_generic($($gargs, )* elts)
}
/// Creates a matrix or vector filled with random values from the given distribution.
#[inline]
pub fn from_distribution<Distr: Distribution<N> + ?Sized, G: Rng + ?Sized>(
$($args: usize,)*
distribution: &Distr,
rng: &mut G,
) -> Self {
Self::from_distribution_generic($($gargs, )* distribution, rng)
}
/// Creates a matrix filled with random values.
#[inline]
#[cfg(feature = "std")]
pub fn new_random($($args: usize),*) -> Self
where Standard: Distribution<N> {
Self::new_random_generic($($gargs),*)
}
}
);
// FIXME: this is not very pretty. We could find a better call syntax.
impl_constructors!(R, C; // Arguments for Matrix<N, ..., S>
=> R: DimName, => C: DimName; // Type parameters for impl<N, ..., S>
R::name(), C::name(); // Arguments for `_generic` constructors.
); // Arguments for non-generic constructors.
/// # Constructors of statically-sized vectors or statically-sized matrices
impl<N: Scalar, R: DimName, C: DimName> MatrixMN<N, R, C>
where
DefaultAllocator: Allocator<N, R, C>,
{
// FIXME: this is not very pretty. We could find a better call syntax.
impl_constructors!(R, C; // Arguments for Matrix<N, ..., S>
=> R: DimName, => C: DimName; // Type parameters for impl<N, ..., S>
R::name(), C::name(); // Arguments for `_generic` constructors.
); // Arguments for non-generic constructors.
}
impl_constructors!(R, Dynamic;
/// # Constructors of matrices with a dynamic number of columns
impl<N: Scalar, R: DimName> MatrixMN<N, R, Dynamic>
where
DefaultAllocator: Allocator<N, R, Dynamic>,
{
impl_constructors!(R, Dynamic;
=> R: DimName;
R::name(), Dynamic::new(ncols);
ncols);
}
impl_constructors!(Dynamic, C;
/// # Constructors of dynamic vectors and matrices with a dynamic number of rows
impl<N: Scalar, C: DimName> MatrixMN<N, Dynamic, C>
where
DefaultAllocator: Allocator<N, Dynamic, C>,
{
impl_constructors!(Dynamic, C;
=> C: DimName;
Dynamic::new(nrows), C::name();
nrows);
}
impl_constructors!(Dynamic, Dynamic;
/// # Constructors of fully dynamic matrices
impl<N: Scalar> MatrixMN<N, Dynamic, Dynamic>
where
DefaultAllocator: Allocator<N, Dynamic, Dynamic>,
{
impl_constructors!(Dynamic, Dynamic;
;
Dynamic::new(nrows), Dynamic::new(ncols);
nrows, ncols);
}
/*
*
* Constructors that don't necessarily require all dimensions
* to be specified whon one dimension is already known.
* to be specified when one dimension is already known.
*
*/
macro_rules! impl_constructors_from_data(

67
src/base/matrix.rs
View File

@ -54,7 +54,34 @@ pub type MatrixCross<N, R1, C1, R2, C2> =
/// The most generic column-major matrix (and vector) type.
///
/// It combines four type parameters:
/// # Methods summary
/// Because `Matrix` is the most generic types that groups all matrix and vectors of **nalgebra**
/// this documentation page contains every single matrix/vector-related method. In order to make
/// browsing this page simpler, the next subsections contain direct links to groups of methods
/// related to a specific topic.
///
/// #### Vector and matrix construction
/// - [Constructors of statically-sized vectors or statically-sized matrices](#constructors-of-statically-sized-vectors-or-statically-sized-matrices)
/// (`Vector3`, `Matrix3x6`, etc.)
/// - [Constructors of fully dynamic matrices](#constructors-of-fully-dynamic-matrices) (`DMatrix`)
/// - [Constructors of dynamic vectors and matrices with a dynamic number of rows](#constructors-of-dynamic-vectors-and-matrices-with-a-dynamic-number-of-rows)
/// (`DVector`, `MatrixXx3`, etc.)
/// - [Constructors of matrices with a dynamic number of columns](#constructors-of-matrices-with-a-dynamic-number-of-columns)
/// (`Matrix2xX`, etc.)
/// - [Generic constructors](#generic-constructors)
/// (For code generic wrt. the vectors or matrices dimensions.)
/// #### Matrix decomposition
/// - [Rectangular matrix decomposition](#rectangular-matrix-decomposition) (Applicable to square matrices too)
/// - [Square matrix decomposition](#square-matrix-decomposition)
///
/// #### Vector and matrix slicing
/// - [Slicing based on index and length](#slicing-based-on-index-and-length)
/// - [Mutable slicing based on index and length](#mutable-slicing-based-on-index-and-length)
/// - [Slicing based on ranges](#slicing-based-on-ranges)
/// - [Mutable slicing based on ranges](#mutable-slicing-based-on-ranges)
///
/// # Type parameters
/// The generic `Matrix` type has four type parameters:
/// - `N`: for the matrix components scalar type.
/// - `R`: for the matrix number of rows.
/// - `C`: for the matrix number of columns.
@ -75,26 +102,30 @@ pub type MatrixCross<N, R1, C1, R2, C2> =
/// Note that mixing `Dynamic` with type-level unsigned integers is allowed. Actually, a
/// dynamically-sized column vector should be represented as a `Matrix<N, Dynamic, U1, S>` (given
/// some concrete types for `N` and a compatible data storage type `S`).
///
/// # Documentation by feature
/// Because `Matrix` is the most generic types that groups all matrix and vectors of **nalgebra**
/// this documentation page contains every single matrix/vector-related method. In order to make
/// browsing this page simpler, the next subsections contain direct links to groups of methods
/// related to a specific topic.
///
/// #### Matrix decomposition
/// - [Rectangular matrix decomposition](#rectangular-matrix-decomposition).
/// - [Square matrix decomposition](#square-matrix-decomposition).
///
/// #### Matrix slicing
/// - [Slicing](#slicing)
/// - [Mutable slicing](#mutable-slicing)
/// - [Range-based slicing](#range-based-slicing), [mutable range-based slicing](#mutable-range-based-slicing).
#[repr(C)]
#[derive(Clone, Copy)]
pub struct Matrix<N: Scalar, R: Dim, C: Dim, S> {
/// The data storage that contains all the matrix components and informations about its number
/// of rows and column (if needed).
/// The data storage that contains all the matrix components. Disappointed?
///
/// Well, if you came here to see how you can access the matrix components,
/// you may be in luck: you can access the individual components of all vectors with compile-time
/// dimensions <= 6 using field notation like this:
/// `vec.x`, `vec.y`, `vec.z`, `vec.w`, `vec.a`, `vec.b`. Reference and assignation work too:
/// ```.ignore
/// let mut v = Vector3::new(1.0, 2.0, 3.0);
/// vec.x = 10.0;
/// my_function(&vec.z);
/// println!("{}", vec.y + 30.0);
/// ```
/// Similarly, for matrices with compile-time dimensions <= 6, you can use field notation
/// like this: `mat.m11`, `mat.m42`, etc. The first digit identifies the row to address
/// and the second digit identifies the column to address. So `mat.m13` identifies the component
/// at the first row and third column (note that the count of rows and columns start at 1 instead
/// of 0 here. This is so we match the mathematical notation).
///
/// For all matrices and vectors, independently from their size, individual components can
/// be accessed and modified using indexing: `vec[20]`, `mat[(20, 19)]`. Here the indexing
/// starts at 0 as you would expect.
pub data: S,
_phantoms: PhantomData<(N, R, C)>,