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use crate::base::constraint::{AreMultipliable, DimEq, SameNumberOfRows, ShapeConstraint};
use crate::base::{Const, Matrix, Unit, Vector};
use crate::dimension::{Dim, U1};
use crate::storage::{Storage, StorageMut};
use simba::scalar::ComplexField;
use crate::geometry::Point;
pub struct Reflection<T, D, S> {
axis: Vector<T, D, S>,
bias: T,
}
impl<T: ComplexField, S: Storage<T, Const<D>>, const D: usize> Reflection<T, Const<D>, S> {
pub fn new_containing_point(axis: Unit<Vector<T, Const<D>, S>>, pt: &Point<T, D>) -> Self {
let bias = axis.dotc(&pt.coords);
Self::new(axis, bias)
}
}
impl<T: ComplexField, D: Dim, S: Storage<T, D>> Reflection<T, D, S> {
pub fn new(axis: Unit<Vector<T, D, S>>, bias: T) -> Self {
Self {
axis: axis.into_inner(),
bias,
}
}
#[must_use]
pub fn axis(&self) -> &Vector<T, D, S> {
&self.axis
}
#[must_use]
pub fn bias(&self) -> T {
self.bias.clone()
}
pub fn reflect<R2: Dim, C2: Dim, S2>(&self, rhs: &mut Matrix<T, R2, C2, S2>)
where
S2: StorageMut<T, R2, C2>,
ShapeConstraint: SameNumberOfRows<R2, D>,
{
for i in 0..rhs.ncols() {
let m_two: T = crate::convert(-2.0f64);
let factor = (self.axis.dotc(&rhs.column(i)) - self.bias.clone()) * m_two;
rhs.column_mut(i).axpy(factor, &self.axis, T::one());
}
}
pub fn reflect_with_sign<R2: Dim, C2: Dim, S2>(&self, rhs: &mut Matrix<T, R2, C2, S2>, sign: T)
where
S2: StorageMut<T, R2, C2>,
ShapeConstraint: SameNumberOfRows<R2, D>,
{
for i in 0..rhs.ncols() {
let m_two = sign.clone().scale(crate::convert(-2.0f64));
let factor = (self.axis.dotc(&rhs.column(i)) - self.bias.clone()) * m_two;
rhs.column_mut(i).axpy(factor, &self.axis, sign.clone());
}
}
pub fn reflect_rows<R2: Dim, C2: Dim, S2, S3>(
&self,
lhs: &mut Matrix<T, R2, C2, S2>,
work: &mut Vector<T, R2, S3>,
) where
S2: StorageMut<T, R2, C2>,
S3: StorageMut<T, R2>,
ShapeConstraint: DimEq<C2, D> + AreMultipliable<R2, C2, D, U1>,
{
lhs.mul_to(&self.axis, work);
if !self.bias.is_zero() {
work.add_scalar_mut(-self.bias.clone());
}
let m_two: T = crate::convert(-2.0f64);
lhs.gerc(m_two, work, &self.axis, T::one());
}
pub fn reflect_rows_with_sign<R2: Dim, C2: Dim, S2, S3>(
&self,
lhs: &mut Matrix<T, R2, C2, S2>,
work: &mut Vector<T, R2, S3>,
sign: T,
) where
S2: StorageMut<T, R2, C2>,
S3: StorageMut<T, R2>,
ShapeConstraint: DimEq<C2, D> + AreMultipliable<R2, C2, D, U1>,
{
lhs.mul_to(&self.axis, work);
if !self.bias.is_zero() {
work.add_scalar_mut(-self.bias.clone());
}
let m_two = sign.clone().scale(crate::convert(-2.0f64));
lhs.gerc(m_two, work, &self.axis, sign);
}
}