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Rename Complex to ComplexField.

This commit is contained in:
sebcrozet 2019-03-25 11:19:36 +01:00
parent 1e60bc822b
commit 5b28c39fa7
33 changed files with 140 additions and 140 deletions
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2
benches/geometry/mod.rs
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@ -1,3 +1,3 @@
pub use quaternion::quaternion; pub use self::quaternion::quaternion;
mod quaternion; mod quaternion;

20
src/base/blas.rs
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@ -1,4 +1,4 @@
use alga::general::{ClosedAdd, ClosedMul, Complex}; use alga::general::{ClosedAdd, ClosedMul, ComplexField};
#[cfg(feature = "std")] #[cfg(feature = "std")]
use matrixmultiply; use matrixmultiply;
use num::{One, Signed, Zero}; use num::{One, Signed, Zero};
@ -15,7 +15,7 @@ use crate::base::{DefaultAllocator, Matrix, Scalar, SquareMatrix, Vector, DVecto
// FIXME: find a way to avoid code duplication just for complex number support. // FIXME: find a way to avoid code duplication just for complex number support.
impl<N: Complex, D: Dim, S: Storage<N, D>> Vector<N, D, S> { impl<N: ComplexField, D: Dim, S: Storage<N, D>> Vector<N, D, S> {
/// Computes the index of the vector component with the largest complex or real absolute value. /// Computes the index of the vector component with the largest complex or real absolute value.
/// ///
/// # Examples: /// # Examples:
@ -193,7 +193,7 @@ impl<N: Scalar + PartialOrd, D: Dim, S: Storage<N, D>> Vector<N, D, S> {
} }
// FIXME: find a way to avoid code duplication just for complex number support. // FIXME: find a way to avoid code duplication just for complex number support.
impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// Computes the index of the matrix component with the largest absolute value. /// Computes the index of the matrix component with the largest absolute value.
/// ///
/// # Examples: /// # Examples:
@ -416,11 +416,11 @@ where N: Scalar + Zero + ClosedAdd + ClosedMul
#[inline] #[inline]
pub fn dotc<R2: Dim, C2: Dim, SB>(&self, rhs: &Matrix<N, R2, C2, SB>) -> N pub fn dotc<R2: Dim, C2: Dim, SB>(&self, rhs: &Matrix<N, R2, C2, SB>) -> N
where where
N: Complex, N: ComplexField,
SB: Storage<N, R2, C2>, SB: Storage<N, R2, C2>,
ShapeConstraint: DimEq<R, R2> + DimEq<C, C2>, ShapeConstraint: DimEq<R, R2> + DimEq<C, C2>,
{ {
self.dotx(rhs, Complex::conjugate) self.dotx(rhs, ComplexField::conjugate)
} }
/// The dot product between the transpose of `self` and `rhs`. /// The dot product between the transpose of `self` and `rhs`.
@ -726,7 +726,7 @@ where
x: &Vector<N, D3, SC>, x: &Vector<N, D3, SC>,
beta: N, beta: N,
) where ) where
N: Complex, N: ComplexField,
SB: Storage<N, D2, D2>, SB: Storage<N, D2, D2>,
SC: Storage<N, D3>, SC: Storage<N, D3>,
ShapeConstraint: DimEq<D, D2> + AreMultipliable<D2, D2, D3, U1>, ShapeConstraint: DimEq<D, D2> + AreMultipliable<D2, D2, D3, U1>,
@ -881,12 +881,12 @@ where N: Scalar + Zero + ClosedAdd + ClosedMul
y: &Vector<N, D3, SC>, y: &Vector<N, D3, SC>,
beta: N, beta: N,
) where ) where
N: Complex, N: ComplexField,
SB: Storage<N, D2>, SB: Storage<N, D2>,
SC: Storage<N, D3>, SC: Storage<N, D3>,
ShapeConstraint: DimEq<R1, D2> + DimEq<C1, D3>, ShapeConstraint: DimEq<R1, D2> + DimEq<C1, D3>,
{ {
self.gerx(alpha, x, y, beta, Complex::conjugate) self.gerx(alpha, x, y, beta, ComplexField::conjugate)
} }
/// Computes `self = alpha * a * b + beta * self`, where `a, b, self` are matrices. /// Computes `self = alpha * a * b + beta * self`, where `a, b, self` are matrices.
@ -1216,12 +1216,12 @@ where N: Scalar + Zero + ClosedAdd + ClosedMul
y: &Vector<N, D3, SC>, y: &Vector<N, D3, SC>,
beta: N, beta: N,
) where ) where
N: Complex, N: ComplexField,
SB: Storage<N, D2>, SB: Storage<N, D2>,
SC: Storage<N, D3>, SC: Storage<N, D3>,
ShapeConstraint: DimEq<R1, D2> + DimEq<C1, D3>, ShapeConstraint: DimEq<R1, D2> + DimEq<C1, D3>,
{ {
self.xxgerx(alpha, x, y, beta, Complex::conjugate) self.xxgerx(alpha, x, y, beta, ComplexField::conjugate)
} }
} }

14
src/base/matrix.rs
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@ -16,7 +16,7 @@ use serde::{Deserialize, Deserializer, Serialize, Serializer};
#[cfg(feature = "abomonation-serialize")] #[cfg(feature = "abomonation-serialize")]
use abomonation::Abomonation; use abomonation::Abomonation;
use alga::general::{ClosedAdd, ClosedMul, ClosedSub, Real, Ring, Complex, Field}; use alga::general::{ClosedAdd, ClosedMul, ClosedSub, Real, Ring, ComplexField, Field};
use crate::base::allocator::{Allocator, SameShapeAllocator, SameShapeC, SameShapeR}; use crate::base::allocator::{Allocator, SameShapeAllocator, SameShapeC, SameShapeR};
use crate::base::constraint::{DimEq, SameNumberOfColumns, SameNumberOfRows, ShapeConstraint}; use crate::base::constraint::{DimEq, SameNumberOfColumns, SameNumberOfRows, ShapeConstraint};
@ -913,7 +913,7 @@ impl<N: Scalar, D: Dim, S: StorageMut<N, D, D>> Matrix<N, D, D, S> {
} }
} }
impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// Takes the adjoint (aka. conjugate-transpose) of `self` and store the result into `out`. /// Takes the adjoint (aka. conjugate-transpose) of `self` and store the result into `out`.
#[inline] #[inline]
pub fn adjoint_to<R2, C2, SB>(&self, out: &mut Matrix<N, R2, C2, SB>) pub fn adjoint_to<R2, C2, SB>(&self, out: &mut Matrix<N, R2, C2, SB>)
@ -996,7 +996,7 @@ impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
} }
} }
impl<N: Complex, R: Dim, C: Dim, S: StorageMut<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: StorageMut<N, R, C>> Matrix<N, R, C, S> {
/// The conjugate of the complex matrix `self` computed in-place. /// The conjugate of the complex matrix `self` computed in-place.
#[inline] #[inline]
pub fn conjugate_mut(&mut self) { pub fn conjugate_mut(&mut self) {
@ -1016,7 +1016,7 @@ impl<N: Complex, R: Dim, C: Dim, S: StorageMut<N, R, C>> Matrix<N, R, C, S> {
} }
} }
impl<N: Complex, D: Dim, S: StorageMut<N, D, D>> Matrix<N, D, D, S> { impl<N: ComplexField, D: Dim, S: StorageMut<N, D, D>> Matrix<N, D, D, S> {
/// Sets `self` to its adjoint. /// Sets `self` to its adjoint.
#[deprecated(note = "Renamed to `self.adjoint_mut()`.")] #[deprecated(note = "Renamed to `self.adjoint_mut()`.")]
pub fn conjugate_transform_mut(&mut self) { pub fn conjugate_transform_mut(&mut self) {
@ -1103,7 +1103,7 @@ impl<N: Scalar, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
} }
} }
impl<N: Complex, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> { impl<N: ComplexField, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
/// The symmetric part of `self`, i.e., `0.5 * (self + self.transpose())`. /// The symmetric part of `self`, i.e., `0.5 * (self + self.transpose())`.
#[inline] #[inline]
pub fn symmetric_part(&self) -> MatrixMN<N, D, D> pub fn symmetric_part(&self) -> MatrixMN<N, D, D>
@ -1541,7 +1541,7 @@ where DefaultAllocator: Allocator<N, U3>
} }
} }
impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// The smallest angle between two vectors. /// The smallest angle between two vectors.
#[inline] #[inline]
pub fn angle<R2: Dim, C2: Dim, SB>(&self, other: &Matrix<N, R2, C2, SB>) -> N::Real pub fn angle<R2: Dim, C2: Dim, SB>(&self, other: &Matrix<N, R2, C2, SB>) -> N::Real
@ -1592,7 +1592,7 @@ impl<N: Scalar + Zero + One + ClosedAdd + ClosedSub + ClosedMul, D: Dim, S: Stor
} }
} }
impl<N: Complex, D: Dim, S: Storage<N, D>> Unit<Vector<N, D, S>> { impl<N: ComplexField, D: Dim, S: Storage<N, D>> Unit<Vector<N, D, S>> {
/// Computes the spherical linear interpolation between two unit vectors. /// Computes the spherical linear interpolation between two unit vectors.
pub fn slerp<S2: Storage<N, D>>( pub fn slerp<S2: Storage<N, D>>(
&self, &self,

10
src/base/matrix_alga.rs
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@ -7,7 +7,7 @@ use alga::general::{
AbstractGroup, AbstractGroupAbelian, AbstractLoop, AbstractMagma, AbstractModule, AbstractGroup, AbstractGroupAbelian, AbstractLoop, AbstractMagma, AbstractModule,
AbstractMonoid, AbstractQuasigroup, AbstractSemigroup, Additive, ClosedAdd, ClosedMul, AbstractMonoid, AbstractQuasigroup, AbstractSemigroup, Additive, ClosedAdd, ClosedMul,
ClosedNeg, Field, Identity, TwoSidedInverse, JoinSemilattice, Lattice, MeetSemilattice, Module, ClosedNeg, Field, Identity, TwoSidedInverse, JoinSemilattice, Lattice, MeetSemilattice, Module,
Multiplicative, RingCommutative, Complex Multiplicative, RingCommutative, ComplexField
}; };
use alga::linear::{ use alga::linear::{
FiniteDimInnerSpace, FiniteDimVectorSpace, InnerSpace, NormedSpace, VectorSpace, FiniteDimInnerSpace, FiniteDimVectorSpace, InnerSpace, NormedSpace, VectorSpace,
@ -145,11 +145,11 @@ where
} }
} }
impl<N: Complex, R: DimName, C: DimName> NormedSpace for MatrixMN<N, R, C> impl<N: ComplexField, R: DimName, C: DimName> NormedSpace for MatrixMN<N, R, C>
where DefaultAllocator: Allocator<N, R, C> where DefaultAllocator: Allocator<N, R, C>
{ {
type Real = N::Real; type Real = N::Real;
type Complex = N; type ComplexField = N;
#[inline] #[inline]
fn norm_squared(&self) -> N::Real { fn norm_squared(&self) -> N::Real {
@ -182,7 +182,7 @@ where DefaultAllocator: Allocator<N, R, C>
} }
} }
impl<N: Complex, R: DimName, C: DimName> InnerSpace for MatrixMN<N, R, C> impl<N: ComplexField, R: DimName, C: DimName> InnerSpace for MatrixMN<N, R, C>
where DefaultAllocator: Allocator<N, R, C> where DefaultAllocator: Allocator<N, R, C>
{ {
#[inline] #[inline]
@ -200,7 +200,7 @@ where DefaultAllocator: Allocator<N, R, C>
// In particular: // In particular:
// − use `x()` instead of `::canonical_basis_element` // − use `x()` instead of `::canonical_basis_element`
// − use `::new(x, y, z)` instead of `::from_slice` // − use `::new(x, y, z)` instead of `::from_slice`
impl<N: Complex, R: DimName, C: DimName> FiniteDimInnerSpace for MatrixMN<N, R, C> impl<N: ComplexField, R: DimName, C: DimName> FiniteDimInnerSpace for MatrixMN<N, R, C>
where DefaultAllocator: Allocator<N, R, C> where DefaultAllocator: Allocator<N, R, C>
{ {
#[inline] #[inline]

14
src/base/norm.rs
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@ -1,7 +1,7 @@
use num::Zero; use num::Zero;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::{Real, Complex}; use crate::{Real, ComplexField};
use crate::storage::{Storage, StorageMut}; use crate::storage::{Storage, StorageMut};
use crate::base::{DefaultAllocator, Matrix, Dim, MatrixMN}; use crate::base::{DefaultAllocator, Matrix, Dim, MatrixMN};
use crate::constraint::{SameNumberOfRows, SameNumberOfColumns, ShapeConstraint}; use crate::constraint::{SameNumberOfRows, SameNumberOfColumns, ShapeConstraint};
@ -11,7 +11,7 @@ use crate::constraint::{SameNumberOfRows, SameNumberOfColumns, ShapeConstraint};
/// A trait for abstract matrix norms. /// A trait for abstract matrix norms.
/// ///
/// This may be moved to the alga crate in the future. /// This may be moved to the alga crate in the future.
pub trait Norm<N: Complex> { pub trait Norm<N: ComplexField> {
/// Apply this norm to the given matrix. /// Apply this norm to the given matrix.
fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real
where R: Dim, C: Dim, S: Storage<N, R, C>; where R: Dim, C: Dim, S: Storage<N, R, C>;
@ -29,7 +29,7 @@ pub struct LpNorm(pub i32);
/// L-infinite norm aka. Chebytchev norm aka. uniform norm aka. suppremum norm. /// L-infinite norm aka. Chebytchev norm aka. uniform norm aka. suppremum norm.
pub struct UniformNorm; pub struct UniformNorm;
impl<N: Complex> Norm<N> for EuclideanNorm { impl<N: ComplexField> Norm<N> for EuclideanNorm {
#[inline] #[inline]
fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real
where R: Dim, C: Dim, S: Storage<N, R, C> { where R: Dim, C: Dim, S: Storage<N, R, C> {
@ -48,7 +48,7 @@ impl<N: Complex> Norm<N> for EuclideanNorm {
} }
} }
impl<N: Complex> Norm<N> for LpNorm { impl<N: ComplexField> Norm<N> for LpNorm {
#[inline] #[inline]
fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real
where R: Dim, C: Dim, S: Storage<N, R, C> { where R: Dim, C: Dim, S: Storage<N, R, C> {
@ -69,7 +69,7 @@ impl<N: Complex> Norm<N> for LpNorm {
} }
} }
impl<N: Complex> Norm<N> for UniformNorm { impl<N: ComplexField> Norm<N> for UniformNorm {
#[inline] #[inline]
fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real fn norm<R, C, S>(&self, m: &Matrix<N, R, C, S>) -> N::Real
where R: Dim, C: Dim, S: Storage<N, R, C> { where R: Dim, C: Dim, S: Storage<N, R, C> {
@ -95,7 +95,7 @@ impl<N: Complex> Norm<N> for UniformNorm {
} }
impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// The squared L2 norm of this vector. /// The squared L2 norm of this vector.
#[inline] #[inline]
pub fn norm_squared(&self) -> N::Real { pub fn norm_squared(&self) -> N::Real {
@ -213,7 +213,7 @@ impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
} }
impl<N: Complex, R: Dim, C: Dim, S: StorageMut<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: StorageMut<N, R, C>> Matrix<N, R, C, S> {
/// Normalizes this matrix in-place and returns its norm. /// Normalizes this matrix in-place and returns its norm.
#[inline] #[inline]
pub fn normalize_mut(&mut self) -> N::Real { pub fn normalize_mut(&mut self) -> N::Real {

10
src/base/ops.rs
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@ -5,7 +5,7 @@ use std::ops::{
Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign, Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign,
}; };
use alga::general::{Complex, ClosedAdd, ClosedDiv, ClosedMul, ClosedNeg, ClosedSub}; use alga::general::{ComplexField, ClosedAdd, ClosedDiv, ClosedMul, ClosedNeg, ClosedSub};
use crate::base::allocator::{Allocator, SameShapeAllocator, SameShapeC, SameShapeR}; use crate::base::allocator::{Allocator, SameShapeAllocator, SameShapeC, SameShapeR};
use crate::base::constraint::{ use crate::base::constraint::{
@ -633,7 +633,7 @@ where
#[inline] #[inline]
pub fn ad_mul<R2: Dim, C2: Dim, SB>(&self, rhs: &Matrix<N, R2, C2, SB>) -> MatrixMN<N, C1, C2> pub fn ad_mul<R2: Dim, C2: Dim, SB>(&self, rhs: &Matrix<N, R2, C2, SB>) -> MatrixMN<N, C1, C2>
where where
N: Complex, N: ComplexField,
SB: Storage<N, R2, C2>, SB: Storage<N, R2, C2>,
DefaultAllocator: Allocator<N, C1, C2>, DefaultAllocator: Allocator<N, C1, C2>,
ShapeConstraint: SameNumberOfRows<R1, R2>, ShapeConstraint: SameNumberOfRows<R1, R2>,
@ -700,7 +700,7 @@ where
rhs: &Matrix<N, R2, C2, SB>, rhs: &Matrix<N, R2, C2, SB>,
out: &mut Matrix<N, R3, C3, SC>, out: &mut Matrix<N, R3, C3, SC>,
) where ) where
N: Complex, N: ComplexField,
SB: Storage<N, R2, C2>, SB: Storage<N, R2, C2>,
SC: StorageMut<N, R3, C3>, SC: StorageMut<N, R3, C3>,
ShapeConstraint: SameNumberOfRows<R1, R2> + DimEq<C1, R3> + DimEq<C2, C3>, ShapeConstraint: SameNumberOfRows<R1, R2> + DimEq<C1, R3> + DimEq<C2, C3>,
@ -833,7 +833,7 @@ impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// Returns the the 1-norm of the complex component with the largest 1-norm. /// Returns the the 1-norm of the complex component with the largest 1-norm.
#[inline] #[inline]
pub fn camax(&self) -> N::Real pub fn camax(&self) -> N::Real
where N: Complex { where N: ComplexField {
self.xcmp(|e| e.norm1(), |a, b| a > b) self.xcmp(|e| e.norm1(), |a, b| a > b)
} }
@ -854,7 +854,7 @@ impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// Returns the the 1-norm of the complex component with the smallest 1-norm. /// Returns the the 1-norm of the complex component with the smallest 1-norm.
#[inline] #[inline]
pub fn camin(&self) -> N::Real pub fn camin(&self) -> N::Real
where N: Complex { where N: ComplexField {
self.xcmp(|e| e.norm1(), |a, b| a < b) self.xcmp(|e| e.norm1(), |a, b| a < b)
} }

4
src/base/properties.rs
View File

@ -2,7 +2,7 @@
use approx::RelativeEq; use approx::RelativeEq;
use num::{One, Zero}; use num::{One, Zero};
use alga::general::{ClosedAdd, ClosedMul, Real, Complex}; use alga::general::{ClosedAdd, ClosedMul, Real, ComplexField};
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::dimension::{Dim, DimMin}; use crate::base::dimension::{Dim, DimMin};
@ -84,7 +84,7 @@ impl<N: Scalar, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
} }
} }
impl<N: Complex, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> { impl<N: ComplexField, R: Dim, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> {
/// Checks that `Mᵀ × M = Id`. /// Checks that `Mᵀ × M = Id`.
/// ///
/// In this definition `Id` is approximately equal to the identity matrix with a relative error /// In this definition `Id` is approximately equal to the identity matrix with a relative error

4
src/base/unit.rs
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@ -10,7 +10,7 @@ use serde::{Deserialize, Deserializer, Serialize, Serializer};
#[cfg(feature = "abomonation-serialize")] #[cfg(feature = "abomonation-serialize")]
use abomonation::Abomonation; use abomonation::Abomonation;
use alga::general::{SubsetOf, Complex}; use alga::general::{SubsetOf, ComplexField};
use alga::linear::NormedSpace; use alga::linear::NormedSpace;
/// A wrapper that ensures the underlying algebraic entity has a unit norm. /// A wrapper that ensures the underlying algebraic entity has a unit norm.
@ -106,7 +106,7 @@ impl<T: NormedSpace> Unit<T> {
let sq_norm = self.value.norm_squared(); let sq_norm = self.value.norm_squared();
let _3: T::Real = crate::convert(3.0); let _3: T::Real = crate::convert(3.0);
let _0_5: T::Real = crate::convert(0.5); let _0_5: T::Real = crate::convert(0.5);
self.value *= T::Complex::from_real(_0_5 * (_3 - sq_norm)); self.value *= T::ComplexField::from_real(_0_5 * (_3 - sq_norm));
} }
} }

6
src/debug/random_orthogonal.rs
View File

@ -3,7 +3,7 @@ use crate::base::storage::Owned;
#[cfg(feature = "arbitrary")] #[cfg(feature = "arbitrary")]
use quickcheck::{Arbitrary, Gen}; use quickcheck::{Arbitrary, Gen};
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::Scalar; use crate::base::Scalar;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::dimension::{Dim, Dynamic, U2}; use crate::base::dimension::{Dim, Dynamic, U2};
@ -18,7 +18,7 @@ where DefaultAllocator: Allocator<N, D, D>
m: MatrixN<N, D>, m: MatrixN<N, D>,
} }
impl<N: Complex, D: Dim> RandomOrthogonal<N, D> impl<N: ComplexField, D: Dim> RandomOrthogonal<N, D>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
/// Retrieve the generated matrix. /// Retrieve the generated matrix.
@ -41,7 +41,7 @@ where DefaultAllocator: Allocator<N, D, D>
} }
#[cfg(feature = "arbitrary")] #[cfg(feature = "arbitrary")]
impl<N: Complex + Arbitrary + Send, D: Dim> Arbitrary for RandomOrthogonal<N, D> impl<N: ComplexField + Arbitrary + Send, D: Dim> Arbitrary for RandomOrthogonal<N, D>
where where
DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, D>,
Owned<N, D, D>: Clone + Send, Owned<N, D, D>: Clone + Send,

6
src/debug/random_sdp.rs
View File

@ -3,7 +3,7 @@ use crate::base::storage::Owned;
#[cfg(feature = "arbitrary")] #[cfg(feature = "arbitrary")]
use quickcheck::{Arbitrary, Gen}; use quickcheck::{Arbitrary, Gen};
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::Scalar; use crate::base::Scalar;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::dimension::{Dim, Dynamic}; use crate::base::dimension::{Dim, Dynamic};
@ -19,7 +19,7 @@ where DefaultAllocator: Allocator<N, D, D>
m: MatrixN<N, D>, m: MatrixN<N, D>,
} }
impl<N: Complex, D: Dim> RandomSDP<N, D> impl<N: ComplexField, D: Dim> RandomSDP<N, D>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
/// Retrieve the generated matrix. /// Retrieve the generated matrix.
@ -44,7 +44,7 @@ where DefaultAllocator: Allocator<N, D, D>
} }
#[cfg(feature = "arbitrary")] #[cfg(feature = "arbitrary")]
impl<N: Complex + Arbitrary + Send, D: Dim> Arbitrary for RandomSDP<N, D> impl<N: ComplexField + Arbitrary + Send, D: Dim> Arbitrary for RandomSDP<N, D>
where where
DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, D>,
Owned<N, D, D>: Clone + Send, Owned<N, D, D>: Clone + Send,

2
src/geometry/quaternion_alga.rs
View File

@ -119,7 +119,7 @@ impl<N: Real> FiniteDimVectorSpace for Quaternion<N> {
impl<N: Real> NormedSpace for Quaternion<N> { impl<N: Real> NormedSpace for Quaternion<N> {
type Real = N; type Real = N;
type Complex = N; type ComplexField = N;
#[inline] #[inline]
fn norm_squared(&self) -> N { fn norm_squared(&self) -> N {

4
src/geometry/reflection.rs
View File

@ -1,4 +1,4 @@
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::constraint::{AreMultipliable, DimEq, SameNumberOfRows, ShapeConstraint}; use crate::base::constraint::{AreMultipliable, DimEq, SameNumberOfRows, ShapeConstraint};
use crate::base::{DefaultAllocator, Matrix, Scalar, Unit, Vector}; use crate::base::{DefaultAllocator, Matrix, Scalar, Unit, Vector};
@ -13,7 +13,7 @@ pub struct Reflection<N: Scalar, D: Dim, S: Storage<N, D>> {
bias: N, bias: N,
} }
impl<N: Complex, D: Dim, S: Storage<N, D>> Reflection<N, D, S> { impl<N: ComplexField, D: Dim, S: Storage<N, D>> Reflection<N, D, S> {
/// Creates a new reflection wrt the plane orthogonal to the given axis and bias. /// Creates a new reflection wrt the plane orthogonal to the given axis and bias.
/// ///
/// The bias is the position of the plane on the axis. In particular, a bias equal to zero /// The bias is the position of the plane on the axis. In particular, a bias equal to zero

2
src/lib.rs
View File

@ -160,7 +160,7 @@ use alga::linear::SquareMatrix as AlgaSquareMatrix;
use alga::linear::{EuclideanSpace, FiniteDimVectorSpace, InnerSpace, NormedSpace}; use alga::linear::{EuclideanSpace, FiniteDimVectorSpace, InnerSpace, NormedSpace};
use num::Signed; use num::Signed;
pub use alga::general::{Id, Real, Complex}; pub use alga::general::{Id, Real, ComplexField};
/* /*
* *

12
src/linalg/bidiagonal.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Unit, VectorN}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Unit, VectorN};
use crate::dimension::{Dim, DimDiff, DimMin, DimMinimum, DimSub, U1}; use crate::dimension::{Dim, DimDiff, DimMin, DimMinimum, DimSub, U1};
@ -37,7 +37,7 @@ use crate::linalg::householder;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct Bidiagonal<N: Complex, R: DimMin<C>, C: Dim> pub struct Bidiagonal<N: ComplexField, R: DimMin<C>, C: Dim>
where where
DimMinimum<R, C>: DimSub<U1>, DimMinimum<R, C>: DimSub<U1>,
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>
@ -54,7 +54,7 @@ where
upper_diagonal: bool, upper_diagonal: bool,
} }
impl<N: Complex, R: DimMin<C>, C: Dim> Copy for Bidiagonal<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for Bidiagonal<N, R, C>
where where
DimMinimum<R, C>: DimSub<U1>, DimMinimum<R, C>: DimSub<U1>,
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>
@ -65,7 +65,7 @@ where
VectorN<N, DimDiff<DimMinimum<R, C>, U1>>: Copy, VectorN<N, DimDiff<DimMinimum<R, C>, U1>>: Copy,
{} {}
impl<N: Complex, R: DimMin<C>, C: Dim> Bidiagonal<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Bidiagonal<N, R, C>
where where
DimMinimum<R, C>: DimSub<U1>, DimMinimum<R, C>: DimSub<U1>,
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>
@ -282,7 +282,7 @@ where
} }
} }
// impl<N: Complex, D: DimMin<D, Output = D> + DimSub<Dynamic>> Bidiagonal<N, D, D> // impl<N: ComplexField, D: DimMin<D, Output = D> + DimSub<Dynamic>> Bidiagonal<N, D, D>
// where DefaultAllocator: Allocator<N, D, D> + // where DefaultAllocator: Allocator<N, D, D> +
// Allocator<N, D> { // Allocator<N, D> {
// /// Solves the linear system `self * x = b`, where `x` is the unknown to be determined. // /// Solves the linear system `self * x = b`, where `x` is the unknown to be determined.
@ -355,7 +355,7 @@ where
// // } // // }
// } // }
impl<N: Complex, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
where where
DimMinimum<R, C>: DimSub<U1>, DimMinimum<R, C>: DimSub<U1>,
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>

10
src/linalg/cholesky.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, SquareMatrix}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, SquareMatrix};
@ -26,19 +26,19 @@ use crate::storage::{Storage, StorageMut};
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct Cholesky<N: Complex, D: Dim> pub struct Cholesky<N: ComplexField, D: Dim>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
chol: MatrixN<N, D>, chol: MatrixN<N, D>,
} }
impl<N: Complex, D: Dim> Copy for Cholesky<N, D> impl<N: ComplexField, D: Dim> Copy for Cholesky<N, D>
where where
DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, D>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
{} {}
impl<N: Complex, D: DimSub<Dynamic>> Cholesky<N, D> impl<N: ComplexField, D: DimSub<Dynamic>> Cholesky<N, D>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
/// Attempts to compute the Cholesky decomposition of `matrix`. /// Attempts to compute the Cholesky decomposition of `matrix`.
@ -148,7 +148,7 @@ where DefaultAllocator: Allocator<N, D, D>
} }
} }
impl<N: Complex, D: DimSub<Dynamic>, S: Storage<N, D, D>> SquareMatrix<N, D, S> impl<N: ComplexField, D: DimSub<Dynamic>, S: Storage<N, D, D>> SquareMatrix<N, D, S>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
/// Attempts to compute the Cholesky decomposition of this matrix. /// Attempts to compute the Cholesky decomposition of this matrix.

4
src/linalg/determinant.rs
View File

@ -1,4 +1,4 @@
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::dimension::DimMin; use crate::base::dimension::DimMin;
@ -7,7 +7,7 @@ use crate::base::{DefaultAllocator, SquareMatrix};
use crate::linalg::LU; use crate::linalg::LU;
impl<N: Complex, D: DimMin<D, Output = D>, S: Storage<N, D, D>> SquareMatrix<N, D, S> { impl<N: ComplexField, D: DimMin<D, Output = D>, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
/// Computes the matrix determinant. /// Computes the matrix determinant.
/// ///
/// If the matrix has a dimension larger than 3, an LU decomposition is used. /// If the matrix has a dimension larger than 3, an LU decomposition is used.

8
src/linalg/eigen.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Serialize, Deserialize}; use serde::{Serialize, Deserialize};
use alga::general::Complex; use alga::general::ComplexField;
use num_complex::Complex; use num_complex::Complex;
use std::cmp; use std::cmp;
use std::fmt::Display; use std::fmt::Display;
@ -40,7 +40,7 @@ use crate::linalg::Schur;
) )
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct Eigen<N: Complex, D: Dim> pub struct Eigen<N: ComplexField, D: Dim>
where where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>, DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>,
{ {
@ -48,7 +48,7 @@ where
pub eigenvalues: VectorN<N, D>, pub eigenvalues: VectorN<N, D>,
} }
impl<N: Complex, D: Dim> Copy for Eigen<N, D> impl<N: ComplexField, D: Dim> Copy for Eigen<N, D>
where where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>, DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
@ -56,7 +56,7 @@ where
{ {
} }
impl<N: Complex, D: Dim> Eigen<N, D> impl<N: ComplexField, D: Dim> Eigen<N, D>
where where
D: DimSub<U1>, // For Hessenberg. D: DimSub<U1>, // For Hessenberg.
ShapeConstraint: DimEq<Dynamic, DimDiff<D, U1>>, // For Hessenberg. ShapeConstraint: DimEq<Dynamic, DimDiff<D, U1>>, // For Hessenberg.

12
src/linalg/full_piv_lu.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN};
use crate::constraint::{SameNumberOfRows, ShapeConstraint}; use crate::constraint::{SameNumberOfRows, ShapeConstraint};
@ -32,7 +32,7 @@ use crate::linalg::PermutationSequence;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct FullPivLU<N: Complex, R: DimMin<C>, C: Dim> pub struct FullPivLU<N: ComplexField, R: DimMin<C>, C: Dim>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
lu: MatrixMN<N, R, C>, lu: MatrixMN<N, R, C>,
@ -40,14 +40,14 @@ where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimu
q: PermutationSequence<DimMinimum<R, C>>, q: PermutationSequence<DimMinimum<R, C>>,
} }
impl<N: Complex, R: DimMin<C>, C: Dim> Copy for FullPivLU<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for FullPivLU<N, R, C>
where where
DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>, DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,
MatrixMN<N, R, C>: Copy, MatrixMN<N, R, C>: Copy,
PermutationSequence<DimMinimum<R, C>>: Copy, PermutationSequence<DimMinimum<R, C>>: Copy,
{} {}
impl<N: Complex, R: DimMin<C>, C: Dim> FullPivLU<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> FullPivLU<N, R, C>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
/// Computes the LU decomposition with full pivoting of `matrix`. /// Computes the LU decomposition with full pivoting of `matrix`.
@ -156,7 +156,7 @@ where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimu
} }
} }
impl<N: Complex, D: DimMin<D, Output = D>> FullPivLU<N, D, D> impl<N: ComplexField, D: DimMin<D, Output = D>> FullPivLU<N, D, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<(usize, usize), D> where DefaultAllocator: Allocator<N, D, D> + Allocator<(usize, usize), D>
{ {
/// Solves the linear system `self * x = b`, where `x` is the unknown to be determined. /// Solves the linear system `self * x = b`, where `x` is the unknown to be determined.
@ -261,7 +261,7 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<(usize, usize), D>
} }
} }
impl<N: Complex, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
/// Computes the LU decomposition with full pivoting of `matrix`. /// Computes the LU decomposition with full pivoting of `matrix`.

6
src/linalg/givens.rs
View File

@ -1,6 +1,6 @@
//! Construction of givens rotations. //! Construction of givens rotations.
use alga::general::Complex; use alga::general::ComplexField;
use num::{Zero, One}; use num::{Zero, One};
use crate::base::dimension::{Dim, U2}; use crate::base::dimension::{Dim, U2};
@ -11,13 +11,13 @@ use crate::base::{Vector, Matrix};
/// A Givens rotation. /// A Givens rotation.
#[derive(Debug, Clone, Copy)] #[derive(Debug, Clone, Copy)]
pub struct GivensRotation<N: Complex> { pub struct GivensRotation<N: ComplexField> {
c: N::Real, c: N::Real,
s: N s: N
} }
// Matrix = UnitComplex * Matrix // Matrix = UnitComplex * Matrix
impl<N: Complex> GivensRotation<N> { impl<N: ComplexField> GivensRotation<N> {
/// The Givents rotation that does nothing. /// The Givents rotation that does nothing.
pub fn identity() -> Self { pub fn identity() -> Self {
Self { Self {

10
src/linalg/hessenberg.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, MatrixMN, MatrixN, SquareMatrix, VectorN}; use crate::base::{DefaultAllocator, MatrixMN, MatrixN, SquareMatrix, VectorN};
use crate::dimension::{DimDiff, DimSub, U1}; use crate::dimension::{DimDiff, DimSub, U1};
@ -30,21 +30,21 @@ use crate::linalg::householder;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct Hessenberg<N: Complex, D: DimSub<U1>> pub struct Hessenberg<N: ComplexField, D: DimSub<U1>>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>
{ {
hess: MatrixN<N, D>, hess: MatrixN<N, D>,
subdiag: VectorN<N, DimDiff<D, U1>>, subdiag: VectorN<N, DimDiff<D, U1>>,
} }
impl<N: Complex, D: DimSub<U1>> Copy for Hessenberg<N, D> impl<N: ComplexField, D: DimSub<U1>> Copy for Hessenberg<N, D>
where where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>, DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
VectorN<N, DimDiff<D, U1>>: Copy, VectorN<N, DimDiff<D, U1>>: Copy,
{} {}
impl<N: Complex, D: DimSub<U1>> Hessenberg<N, D> impl<N: ComplexField, D: DimSub<U1>> Hessenberg<N, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimDiff<D, U1>>
{ {
/// Computes the Hessenberg decomposition using householder reflections. /// Computes the Hessenberg decomposition using householder reflections.
@ -133,7 +133,7 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimD
} }
} }
impl<N: Complex, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S> impl<N: ComplexField, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> + Allocator<N, DimDiff<D, U1>>
{ {
/// Computes the Hessenberg decomposition of this matrix using householder reflections. /// Computes the Hessenberg decomposition of this matrix using householder reflections.

10
src/linalg/householder.rs
View File

@ -1,7 +1,7 @@
//! Construction of householder elementary reflections. //! Construction of householder elementary reflections.
use num::Zero; use num::Zero;
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, MatrixMN, MatrixN, Unit, Vector, VectorN}; use crate::base::{DefaultAllocator, MatrixMN, MatrixN, Unit, Vector, VectorN};
use crate::dimension::Dim; use crate::dimension::Dim;
@ -16,7 +16,7 @@ use crate::geometry::Reflection;
/// `column` after reflection and `false` if no reflection was necessary. /// `column` after reflection and `false` if no reflection was necessary.
#[doc(hidden)] #[doc(hidden)]
#[inline(always)] #[inline(always)]
pub fn reflection_axis_mut<N: Complex, D: Dim, S: StorageMut<N, D>>( pub fn reflection_axis_mut<N: ComplexField, D: Dim, S: StorageMut<N, D>>(
column: &mut Vector<N, D, S>, column: &mut Vector<N, D, S>,
) -> (N, bool) { ) -> (N, bool) {
let reflection_sq_norm = column.norm_squared(); let reflection_sq_norm = column.norm_squared();
@ -44,7 +44,7 @@ pub fn reflection_axis_mut<N: Complex, D: Dim, S: StorageMut<N, D>>(
/// Uses an householder reflection to zero out the `icol`-th column, starting with the `shift + 1`-th /// Uses an householder reflection to zero out the `icol`-th column, starting with the `shift + 1`-th
/// subdiagonal element. /// subdiagonal element.
#[doc(hidden)] #[doc(hidden)]
pub fn clear_column_unchecked<N: Complex, R: Dim, C: Dim>( pub fn clear_column_unchecked<N: ComplexField, R: Dim, C: Dim>(
matrix: &mut MatrixMN<N, R, C>, matrix: &mut MatrixMN<N, R, C>,
diag_elt: &mut N, diag_elt: &mut N,
icol: usize, icol: usize,
@ -72,7 +72,7 @@ pub fn clear_column_unchecked<N: Complex, R: Dim, C: Dim>(
/// Uses an householder reflection to zero out the `irow`-th row, ending before the `shift + 1`-th /// Uses an householder reflection to zero out the `irow`-th row, ending before the `shift + 1`-th
/// superdiagonal element. /// superdiagonal element.
#[doc(hidden)] #[doc(hidden)]
pub fn clear_row_unchecked<N: Complex, R: Dim, C: Dim>( pub fn clear_row_unchecked<N: ComplexField, R: Dim, C: Dim>(
matrix: &mut MatrixMN<N, R, C>, matrix: &mut MatrixMN<N, R, C>,
diag_elt: &mut N, diag_elt: &mut N,
axis_packed: &mut VectorN<N, C>, axis_packed: &mut VectorN<N, C>,
@ -108,7 +108,7 @@ pub fn clear_row_unchecked<N: Complex, R: Dim, C: Dim>(
/// the lower-diagonal element of the given matrix. /// the lower-diagonal element of the given matrix.
/// matrices. /// matrices.
#[doc(hidden)] #[doc(hidden)]
pub fn assemble_q<N: Complex, D: Dim>(m: &MatrixN<N, D>, signs: &[N]) -> MatrixN<N, D> pub fn assemble_q<N: ComplexField, D: Dim>(m: &MatrixN<N, D>, signs: &[N]) -> MatrixN<N, D>
where DefaultAllocator: Allocator<N, D, D> { where DefaultAllocator: Allocator<N, D, D> {
assert!(m.is_square()); assert!(m.is_square());
let dim = m.data.shape().0; let dim = m.data.shape().0;

8
src/linalg/inverse.rs
View File

@ -1,4 +1,4 @@
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::dimension::Dim; use crate::base::dimension::Dim;
@ -7,7 +7,7 @@ use crate::base::{DefaultAllocator, MatrixN, SquareMatrix};
use crate::linalg::lu; use crate::linalg::lu;
impl<N: Complex, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> { impl<N: ComplexField, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
/// Attempts to invert this matrix. /// Attempts to invert this matrix.
#[inline] #[inline]
pub fn try_inverse(self) -> Option<MatrixN<N, D>> pub fn try_inverse(self) -> Option<MatrixN<N, D>>
@ -21,7 +21,7 @@ impl<N: Complex, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
} }
} }
impl<N: Complex, D: Dim, S: StorageMut<N, D, D>> SquareMatrix<N, D, S> { impl<N: ComplexField, D: Dim, S: StorageMut<N, D, D>> SquareMatrix<N, D, S> {
/// Attempts to invert this matrix in-place. Returns `false` and leaves `self` untouched if /// Attempts to invert this matrix in-place. Returns `false` and leaves `self` untouched if
/// inversion fails. /// inversion fails.
#[inline] #[inline]
@ -115,7 +115,7 @@ impl<N: Complex, D: Dim, S: StorageMut<N, D, D>> SquareMatrix<N, D, S> {
} }
// NOTE: this is an extremely efficient, loop-unrolled matrix inverse from MESA (MIT licensed). // NOTE: this is an extremely efficient, loop-unrolled matrix inverse from MESA (MIT licensed).
fn do_inverse4<N: Complex, D: Dim, S: StorageMut<N, D, D>>( fn do_inverse4<N: ComplexField, D: Dim, S: StorageMut<N, D, D>>(
m: &MatrixN<N, D>, m: &MatrixN<N, D>,
out: &mut SquareMatrix<N, D, S>, out: &mut SquareMatrix<N, D, S>,
) -> bool ) -> bool

14
src/linalg/lu.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::{Field, Complex}; use alga::general::{Field, ComplexField};
use crate::allocator::{Allocator, Reallocator}; use crate::allocator::{Allocator, Reallocator};
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Scalar}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Scalar};
use crate::constraint::{SameNumberOfRows, ShapeConstraint}; use crate::constraint::{SameNumberOfRows, ShapeConstraint};
@ -32,14 +32,14 @@ use crate::linalg::PermutationSequence;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct LU<N: Complex, R: DimMin<C>, C: Dim> pub struct LU<N: ComplexField, R: DimMin<C>, C: Dim>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
lu: MatrixMN<N, R, C>, lu: MatrixMN<N, R, C>,
p: PermutationSequence<DimMinimum<R, C>>, p: PermutationSequence<DimMinimum<R, C>>,
} }
impl<N: Complex, R: DimMin<C>, C: Dim> Copy for LU<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for LU<N, R, C>
where where
DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>, DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>,
MatrixMN<N, R, C>: Copy, MatrixMN<N, R, C>: Copy,
@ -49,7 +49,7 @@ where
/// Performs a LU decomposition to overwrite `out` with the inverse of `matrix`. /// Performs a LU decomposition to overwrite `out` with the inverse of `matrix`.
/// ///
/// If `matrix` is not invertible, `false` is returned and `out` may contain invalid data. /// If `matrix` is not invertible, `false` is returned and `out` may contain invalid data.
pub fn try_invert_to<N: Complex, D: Dim, S>( pub fn try_invert_to<N: ComplexField, D: Dim, S>(
mut matrix: MatrixN<N, D>, mut matrix: MatrixN<N, D>,
out: &mut Matrix<N, D, D, S>, out: &mut Matrix<N, D, D, S>,
) -> bool ) -> bool
@ -86,7 +86,7 @@ where
matrix.solve_upper_triangular_mut(out) matrix.solve_upper_triangular_mut(out)
} }
impl<N: Complex, R: DimMin<C>, C: Dim> LU<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> LU<N, R, C>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
/// Computes the LU decomposition with partial (row) pivoting of `matrix`. /// Computes the LU decomposition with partial (row) pivoting of `matrix`.
@ -197,7 +197,7 @@ where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimu
} }
} }
impl<N: Complex, D: DimMin<D, Output = D>> LU<N, D, D> impl<N: ComplexField, D: DimMin<D, Output = D>> LU<N, D, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<(usize, usize), D> where DefaultAllocator: Allocator<N, D, D> + Allocator<(usize, usize), D>
{ {
/// Solves the linear system `self * x = b`, where `x` is the unknown to be determined. /// Solves the linear system `self * x = b`, where `x` is the unknown to be determined.
@ -368,7 +368,7 @@ pub fn gauss_step_swap<N, R: Dim, C: Dim, S>(
} }
} }
impl<N: Complex, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<(usize, usize), DimMinimum<R, C>>
{ {
/// Computes the LU decomposition with partial (row) pivoting of `matrix`. /// Computes the LU decomposition with partial (row) pivoting of `matrix`.

12
src/linalg/qr.rs
View File

@ -2,7 +2,7 @@
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use num::Zero; use num::Zero;
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::{Allocator, Reallocator}; use crate::allocator::{Allocator, Reallocator};
use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Unit, VectorN}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, MatrixN, Unit, VectorN};
use crate::constraint::{SameNumberOfRows, ShapeConstraint}; use crate::constraint::{SameNumberOfRows, ShapeConstraint};
@ -33,21 +33,21 @@ use crate::linalg::householder;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct QR<N: Complex, R: DimMin<C>, C: Dim> pub struct QR<N: ComplexField, R: DimMin<C>, C: Dim>
where DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>
{ {
qr: MatrixMN<N, R, C>, qr: MatrixMN<N, R, C>,
diag: VectorN<N, DimMinimum<R, C>>, diag: VectorN<N, DimMinimum<R, C>>,
} }
impl<N: Complex, R: DimMin<C>, C: Dim> Copy for QR<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for QR<N, R, C>
where where
DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>, DefaultAllocator: Allocator<N, R, C> + Allocator<N, DimMinimum<R, C>>,
MatrixMN<N, R, C>: Copy, MatrixMN<N, R, C>: Copy,
VectorN<N, DimMinimum<R, C>>: Copy, VectorN<N, DimMinimum<R, C>>: Copy,
{} {}
impl<N: Complex, R: DimMin<C>, C: Dim> QR<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> QR<N, R, C>
where DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimMinimum<R, C>>
{ {
/// Computes the QR decomposition using householder reflections. /// Computes the QR decomposition using householder reflections.
@ -159,7 +159,7 @@ where DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimM
} }
} }
impl<N: Complex, D: DimMin<D, Output = D>> QR<N, D, D> impl<N: ComplexField, D: DimMin<D, Output = D>> QR<N, D, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>
{ {
/// Solves the linear system `self * x = b`, where `x` is the unknown to be determined. /// Solves the linear system `self * x = b`, where `x` is the unknown to be determined.
@ -291,7 +291,7 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<N, D>
// } // }
} }
impl<N: Complex, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
where DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimMinimum<R, C>> where DefaultAllocator: Allocator<N, R, C> + Allocator<N, R> + Allocator<N, DimMinimum<R, C>>
{ {
/// Computes the QR decomposition of this matrix. /// Computes the QR decomposition of this matrix.

16
src/linalg/schur.rs
View File

@ -2,7 +2,7 @@
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use approx::AbsDiffEq; use approx::AbsDiffEq;
use alga::general::{Complex, Real}; use alga::general::{ComplexField, Real};
use num_complex::Complex as NumComplex; use num_complex::Complex as NumComplex;
use std::cmp; use std::cmp;
@ -35,20 +35,20 @@ use crate::linalg::givens::GivensRotation;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct Schur<N: Complex, D: Dim> pub struct Schur<N: ComplexField, D: Dim>
where DefaultAllocator: Allocator<N, D, D> where DefaultAllocator: Allocator<N, D, D>
{ {
q: MatrixN<N, D>, q: MatrixN<N, D>,
t: MatrixN<N, D>, t: MatrixN<N, D>,
} }
impl<N: Complex, D: Dim> Copy for Schur<N, D> impl<N: ComplexField, D: Dim> Copy for Schur<N, D>
where where
DefaultAllocator: Allocator<N, D, D>, DefaultAllocator: Allocator<N, D, D>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
{} {}
impl<N: Complex, D: Dim> Schur<N, D> impl<N: ComplexField, D: Dim> Schur<N, D>
where where
D: DimSub<U1>, // For Hessenberg. D: DimSub<U1>, // For Hessenberg.
DefaultAllocator: Allocator<N, D, DimDiff<D, U1>> DefaultAllocator: Allocator<N, D, DimDiff<D, U1>>
@ -398,7 +398,7 @@ where
} }
} }
fn decompose_2x2<N: Complex, D: Dim>( fn decompose_2x2<N: ComplexField, D: Dim>(
mut m: MatrixN<N, D>, mut m: MatrixN<N, D>,
compute_q: bool, compute_q: bool,
) -> Option<(Option<MatrixN<N, D>>, MatrixN<N, D>)> ) -> Option<(Option<MatrixN<N, D>>, MatrixN<N, D>)>
@ -435,7 +435,7 @@ where
Some((q, m)) Some((q, m))
} }
fn compute_2x2_eigvals<N: Complex, S: Storage<N, U2, U2>>( fn compute_2x2_eigvals<N: ComplexField, S: Storage<N, U2, U2>>(
m: &SquareMatrix<N, U2, S>, m: &SquareMatrix<N, U2, S>,
) -> Option<(N, N)> { ) -> Option<(N, N)> {
// Solve the 2x2 eigenvalue subproblem. // Solve the 2x2 eigenvalue subproblem.
@ -461,7 +461,7 @@ fn compute_2x2_eigvals<N: Complex, S: Storage<N, U2, U2>>(
/// ///
/// Returns `None` if the matrix has complex eigenvalues, or is upper-triangular. In both case, /// Returns `None` if the matrix has complex eigenvalues, or is upper-triangular. In both case,
/// the basis is the identity. /// the basis is the identity.
fn compute_2x2_basis<N: Complex, S: Storage<N, U2, U2>>( fn compute_2x2_basis<N: ComplexField, S: Storage<N, U2, U2>>(
m: &SquareMatrix<N, U2, S>, m: &SquareMatrix<N, U2, S>,
) -> Option<GivensRotation<N>> { ) -> Option<GivensRotation<N>> {
let h10 = m[(1, 0)]; let h10 = m[(1, 0)];
@ -487,7 +487,7 @@ fn compute_2x2_basis<N: Complex, S: Storage<N, U2, U2>>(
} }
} }
impl<N: Complex, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> impl<N: ComplexField, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S>
where where
D: DimSub<U1>, // For Hessenberg. D: DimSub<U1>, // For Hessenberg.
DefaultAllocator: Allocator<N, D, DimDiff<D, U1>> DefaultAllocator: Allocator<N, D, DimDiff<D, U1>>

4
src/linalg/solve.rs
View File

@ -1,4 +1,4 @@
use alga::general::Complex; use alga::general::ComplexField;
use crate::base::allocator::Allocator; use crate::base::allocator::Allocator;
use crate::base::constraint::{SameNumberOfRows, ShapeConstraint}; use crate::base::constraint::{SameNumberOfRows, ShapeConstraint};
@ -6,7 +6,7 @@ use crate::base::dimension::{Dim, U1};
use crate::base::storage::{Storage, StorageMut}; use crate::base::storage::{Storage, StorageMut};
use crate::base::{DefaultAllocator, Matrix, MatrixMN, SquareMatrix, Vector, DVectorSlice}; use crate::base::{DefaultAllocator, Matrix, MatrixMN, SquareMatrix, Vector, DVectorSlice};
impl<N: Complex, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> { impl<N: ComplexField, D: Dim, S: Storage<N, D, D>> SquareMatrix<N, D, S> {
/// Computes the solution of the linear system `self . x = b` where `x` is the unknown and only /// Computes the solution of the linear system `self . x = b` where `x` is the unknown and only
/// the lower-triangular part of `self` (including the diagonal) is considered not-zero. /// the lower-triangular part of `self` (including the diagonal) is considered not-zero.
#[inline] #[inline]

10
src/linalg/svd.rs
View File

@ -4,7 +4,7 @@ use serde::{Deserialize, Serialize};
use num::{Zero, One}; use num::{Zero, One};
use approx::AbsDiffEq; use approx::AbsDiffEq;
use alga::general::{Real, Complex}; use alga::general::{Real, ComplexField};
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, Matrix, Matrix2x3, MatrixMN, Vector2, VectorN}; use crate::base::{DefaultAllocator, Matrix, Matrix2x3, MatrixMN, Vector2, VectorN};
use crate::constraint::{SameNumberOfRows, ShapeConstraint}; use crate::constraint::{SameNumberOfRows, ShapeConstraint};
@ -40,7 +40,7 @@ use crate::linalg::givens::GivensRotation;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct SVD<N: Complex, R: DimMin<C>, C: Dim> pub struct SVD<N: ComplexField, R: DimMin<C>, C: Dim>
where DefaultAllocator: Allocator<N, DimMinimum<R, C>, C> where DefaultAllocator: Allocator<N, DimMinimum<R, C>, C>
+ Allocator<N, R, DimMinimum<R, C>> + Allocator<N, R, DimMinimum<R, C>>
+ Allocator<N::Real, DimMinimum<R, C>> + Allocator<N::Real, DimMinimum<R, C>>
@ -53,7 +53,7 @@ where DefaultAllocator: Allocator<N, DimMinimum<R, C>, C>
pub singular_values: VectorN<N::Real, DimMinimum<R, C>>, pub singular_values: VectorN<N::Real, DimMinimum<R, C>>,
} }
impl<N: Complex, R: DimMin<C>, C: Dim> Copy for SVD<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> Copy for SVD<N, R, C>
where where
DefaultAllocator: Allocator<N, DimMinimum<R, C>, C> DefaultAllocator: Allocator<N, DimMinimum<R, C>, C>
+ Allocator<N, R, DimMinimum<R, C>> + Allocator<N, R, DimMinimum<R, C>>
@ -63,7 +63,7 @@ where
VectorN<N::Real, DimMinimum<R, C>>: Copy, VectorN<N::Real, DimMinimum<R, C>>: Copy,
{} {}
impl<N: Complex, R: DimMin<C>, C: Dim> SVD<N, R, C> impl<N: ComplexField, R: DimMin<C>, C: Dim> SVD<N, R, C>
where where
DimMinimum<R, C>: DimSub<U1>, // for Bidiagonal. DimMinimum<R, C>: DimSub<U1>, // for Bidiagonal.
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>
@ -546,7 +546,7 @@ where
} }
} }
impl<N: Complex, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S> impl<N: ComplexField, R: DimMin<C>, C: Dim, S: Storage<N, R, C>> Matrix<N, R, C, S>
where where
DimMinimum<R, C>: DimSub<U1>, // for Bidiagonal. DimMinimum<R, C>: DimSub<U1>, // for Bidiagonal.
DefaultAllocator: Allocator<N, R, C> DefaultAllocator: Allocator<N, R, C>

12
src/linalg/symmetric_eigen.rs
View File

@ -4,7 +4,7 @@ use serde::{Deserialize, Serialize};
use num::Zero; use num::Zero;
use approx::AbsDiffEq; use approx::AbsDiffEq;
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, Matrix2, MatrixN, SquareMatrix, Vector2, VectorN}; use crate::base::{DefaultAllocator, Matrix2, MatrixN, SquareMatrix, Vector2, VectorN};
use crate::dimension::{Dim, DimDiff, DimSub, U1, U2}; use crate::dimension::{Dim, DimDiff, DimSub, U1, U2};
@ -34,7 +34,7 @@ use crate::linalg::SymmetricTridiagonal;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct SymmetricEigen<N: Complex, D: Dim> pub struct SymmetricEigen<N: ComplexField, D: Dim>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D> where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>
{ {
/// The eigenvectors of the decomposed matrix. /// The eigenvectors of the decomposed matrix.
@ -44,14 +44,14 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>
pub eigenvalues: VectorN<N::Real, D>, pub eigenvalues: VectorN<N::Real, D>,
} }
impl<N: Complex, D: Dim> Copy for SymmetricEigen<N, D> impl<N: ComplexField, D: Dim> Copy for SymmetricEigen<N, D>
where where
DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>, DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
VectorN<N::Real, D>: Copy, VectorN<N::Real, D>: Copy,
{} {}
impl<N: Complex, D: Dim> SymmetricEigen<N, D> impl<N: ComplexField, D: Dim> SymmetricEigen<N, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D> where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>
{ {
/// Computes the eigendecomposition of the given symmetric matrix. /// Computes the eigendecomposition of the given symmetric matrix.
@ -288,7 +288,7 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<N::Real, D>
/// The inputs are interpreted as the 2x2 matrix: /// The inputs are interpreted as the 2x2 matrix:
/// tmm tmn /// tmm tmn
/// tmn tnn /// tmn tnn
pub fn wilkinson_shift<N: Complex>(tmm: N, tnn: N, tmn: N) -> N { pub fn wilkinson_shift<N: ComplexField>(tmm: N, tnn: N, tmn: N) -> N {
let sq_tmn = tmn * tmn; let sq_tmn = tmn * tmn;
if !sq_tmn.is_zero() { if !sq_tmn.is_zero() {
// We have the guarantee that the denominator won't be zero. // We have the guarantee that the denominator won't be zero.
@ -304,7 +304,7 @@ pub fn wilkinson_shift<N: Complex>(tmm: N, tnn: N, tmn: N) -> N {
* Computations of eigenvalues for symmetric matrices. * Computations of eigenvalues for symmetric matrices.
* *
*/ */
impl<N: Complex, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S> impl<N: ComplexField, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> + where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> +
Allocator<N::Real, D> + Allocator<N::Real, DimDiff<D, U1>> Allocator<N::Real, D> + Allocator<N::Real, DimDiff<D, U1>>
{ {

10
src/linalg/symmetric_tridiagonal.rs
View File

@ -1,7 +1,7 @@
#[cfg(feature = "serde-serialize")] #[cfg(feature = "serde-serialize")]
use serde::{Deserialize, Serialize}; use serde::{Deserialize, Serialize};
use alga::general::Complex; use alga::general::ComplexField;
use crate::allocator::Allocator; use crate::allocator::Allocator;
use crate::base::{DefaultAllocator, MatrixMN, MatrixN, SquareMatrix, VectorN}; use crate::base::{DefaultAllocator, MatrixMN, MatrixN, SquareMatrix, VectorN};
use crate::dimension::{DimDiff, DimSub, U1}; use crate::dimension::{DimDiff, DimSub, U1};
@ -30,21 +30,21 @@ use crate::linalg::householder;
)) ))
)] )]
#[derive(Clone, Debug)] #[derive(Clone, Debug)]
pub struct SymmetricTridiagonal<N: Complex, D: DimSub<U1>> pub struct SymmetricTridiagonal<N: ComplexField, D: DimSub<U1>>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>
{ {
tri: MatrixN<N, D>, tri: MatrixN<N, D>,
off_diagonal: VectorN<N, DimDiff<D, U1>>, off_diagonal: VectorN<N, DimDiff<D, U1>>,
} }
impl<N: Complex, D: DimSub<U1>> Copy for SymmetricTridiagonal<N, D> impl<N: ComplexField, D: DimSub<U1>> Copy for SymmetricTridiagonal<N, D>
where where
DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>, DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>,
MatrixN<N, D>: Copy, MatrixN<N, D>: Copy,
VectorN<N, DimDiff<D, U1>>: Copy, VectorN<N, DimDiff<D, U1>>: Copy,
{} {}
impl<N: Complex, D: DimSub<U1>> SymmetricTridiagonal<N, D> impl<N: ComplexField, D: DimSub<U1>> SymmetricTridiagonal<N, D>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>
{ {
/// Computes the tridiagonalization of the symmetric matrix `m`. /// Computes the tridiagonalization of the symmetric matrix `m`.
@ -145,7 +145,7 @@ where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>
} }
} }
impl<N: Complex, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S> impl<N: ComplexField, D: DimSub<U1>, S: Storage<N, D, D>> SquareMatrix<N, D, S>
where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>> where DefaultAllocator: Allocator<N, D, D> + Allocator<N, DimDiff<D, U1>>
{ {
/// Computes the tridiagonalization of this symmetric matrix. /// Computes the tridiagonalization of this symmetric matrix.

2
tests/core/matrix.rs
View File

@ -1022,7 +1022,7 @@ mod finite_dim_inner_space_tests {
* *
*/ */
#[cfg(feature = "arbitrary")] #[cfg(feature = "arbitrary")]
fn is_subspace_basis<T: FiniteDimInnerSpace<Real = f64, Complex = f64> + Display>(vs: &[T]) -> bool { fn is_subspace_basis<T: FiniteDimInnerSpace<Real = f64, ComplexField = f64> + Display>(vs: &[T]) -> bool {
for i in 0..vs.len() { for i in 0..vs.len() {
// Basis elements must be normalized. // Basis elements must be normalized.
if !relative_eq!(vs[i].norm(), 1.0, epsilon = 1.0e-7) { if !relative_eq!(vs[i].norm(), 1.0, epsilon = 1.0e-7) {

4
tests/linalg/solve.rs
View File

@ -4,11 +4,11 @@
macro_rules! gen_tests( macro_rules! gen_tests(
($module: ident, $scalar: ty) => { ($module: ident, $scalar: ty) => {
mod $module { mod $module {
use na::{Matrix4, Matrix4x5, Complex}; use na::{Matrix4, Matrix4x5, ComplexField};
#[allow(unused_imports)] #[allow(unused_imports)]
use crate::core::helper::{RandScalar, RandComplex}; use crate::core::helper::{RandScalar, RandComplex};
fn unzero_diagonal<N: Complex>(a: &mut Matrix4<N>) { fn unzero_diagonal<N: ComplexField>(a: &mut Matrix4<N>) {
for i in 0..4 { for i in 0..4 {
if a[(i, i)].norm1() < na::convert(1.0e-7) { if a[(i, i)].norm1() < na::convert(1.0e-7) {
a[(i, i)] = N::one(); a[(i, i)] = N::one();

16
tests/linalg/svd.rs
View File

@ -8,7 +8,7 @@ mod quickcheck_tests {
mod $module { mod $module {
use na::{ use na::{
DMatrix, DVector, Matrix2, Matrix2x5, Matrix3, Matrix3x5, Matrix4, Matrix5x2, Matrix5x3, DMatrix, DVector, Matrix2, Matrix2x5, Matrix3, Matrix3x5, Matrix4, Matrix5x2, Matrix5x3,
Complex ComplexField
}; };
use std::cmp; use std::cmp;
#[allow(unused_imports)] #[allow(unused_imports)]
@ -21,7 +21,7 @@ mod quickcheck_tests {
let svd = m.clone().svd(true, true); let svd = m.clone().svd(true, true);
let recomp_m = svd.clone().recompose().unwrap(); let recomp_m = svd.clone().recompose().unwrap();
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = DMatrix::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = DMatrix::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(&u * ds * &v_t, recomp_m, epsilon = 1.0e-5) && relative_eq!(&u * ds * &v_t, recomp_m, epsilon = 1.0e-5) &&
@ -36,7 +36,7 @@ mod quickcheck_tests {
let m = m.map(|e| e.0); let m = m.map(|e| e.0);
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix3::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix3::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, &u * ds * &v_t, epsilon = 1.0e-5) && relative_eq!(m, &u * ds * &v_t, epsilon = 1.0e-5) &&
@ -48,7 +48,7 @@ mod quickcheck_tests {
let m = m.map(|e| e.0); let m = m.map(|e| e.0);
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix2::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix2::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, &u * ds * &v_t, epsilon = 1.0e-5) && relative_eq!(m, &u * ds * &v_t, epsilon = 1.0e-5) &&
@ -61,7 +61,7 @@ mod quickcheck_tests {
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix3::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix3::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5)
@ -71,7 +71,7 @@ mod quickcheck_tests {
let m = m.map(|e| e.0); let m = m.map(|e| e.0);
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix2::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix2::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5)
@ -81,7 +81,7 @@ mod quickcheck_tests {
let m = m.map(|e| e.0); let m = m.map(|e| e.0);
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix4::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix4::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) && relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) &&
@ -93,7 +93,7 @@ mod quickcheck_tests {
let m = m.map(|e| e.0); let m = m.map(|e| e.0);
let svd = m.svd(true, true); let svd = m.svd(true, true);
let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap()); let (u, s, v_t) = (svd.u.unwrap(), svd.singular_values, svd.v_t.unwrap());
let ds = Matrix2::from_diagonal(&s.map(|e| Complex::from_real(e))); let ds = Matrix2::from_diagonal(&s.map(|e| ComplexField::from_real(e)));
s.iter().all(|e| *e >= 0.0) && s.iter().all(|e| *e >= 0.0) &&
relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) && relative_eq!(m, u * ds * v_t, epsilon = 1.0e-5) &&