rename project to psi

8 files changed, 0 insertions, 1059 deletions

diff --git a/libmu/src/core/component.rs b/libmu/src/core/component.rs
deleted file mode 100644
index bd18b52..0000000
--- a/libmu/src/core/component.rs
+++ /dev/null
@@ -1,51 +0,0 @@
-use crate::{ColumnVector, Complex, Matrix, VectorMatrix};
-
-pub type QuantumRegister = ColumnVector<Complex<f64>>;
-pub type QuantumBit = ColumnVector<Complex<f64>>;
-
-#[macro_export]
-macro_rules! count {
-    () => { 0 };
-    ($head:expr $(,$tail:expr)*) => { 1 + count!($( $tail ),*) };
-}
-
-#[macro_export]
-macro_rules! qubit {
-    ($(($re:expr, $im:expr)),*) => {
-        {
-            let mut vector = Vec::new();
-            $(
-                vector.push(complex!($re, $im));
-            )*
-            QuantumBit::new(vector)
-        }
-    };
-}
-
-#[macro_export]
-macro_rules! quantum_register {
-    ($($bit:expr),*) => {
-        {
-            const N: usize = count!($($bit),*);
-            let bits: [QuantumBit; N] = [$($bit),*];
-            QuantumRegister::from(&bits)
-        }
-    };
-}
-
-impl QuantumBit {
-    pub fn get_state(&self) -> i32 {
-        (self[1] != Complex::new(0.0, 0.0)) as i32
-    }
-}
-
-impl QuantumRegister {
-    pub fn from(bits: &[QuantumBit]) -> QuantumRegister {
-        let matrices: Vec<Matrix<Complex<f64>>> = bits.iter().map(|bit| bit.to_matrix()).collect();
-        let mut result = matrices[0].clone();
-        for matrix in &matrices[1..] {
-            result = result.kronecker(matrix);
-        }
-        ColumnVector::from_matrix(&result)
-    }
-}
diff --git a/libmu/src/core/mod.rs b/libmu/src/core/mod.rs
deleted file mode 100644
index 9cea807..0000000
--- a/libmu/src/core/mod.rs
+++ /dev/null
@@ -1 +0,0 @@
-pub mod component;
diff --git a/libmu/src/lib.rs b/libmu/src/lib.rs
deleted file mode 100644
index 9cbd644..0000000
--- a/libmu/src/lib.rs
+++ /dev/null
@@ -1,9 +0,0 @@
-mod core;
-mod maths;
-
-pub use maths::complex::*;
-pub use maths::matrix::*;
-pub use maths::numeric_types::*;
-pub use maths::vector::*;
-
-pub use core::component::*;
diff --git a/libmu/src/maths/complex.rs b/libmu/src/maths/complex.rs
deleted file mode 100644
index 28a3121..0000000
--- a/libmu/src/maths/complex.rs
+++ /dev/null
@@ -1,219 +0,0 @@
-use crate::Float;
-use core::{fmt, ops};
-
-#[macro_export]
-macro_rules! complex {
-    ($real:expr, $imaginary:expr) => {
-        $crate::Complex::new($real, $imaginary)
-    };
-}
-
-#[derive(Copy, Clone, PartialOrd, PartialEq)]
-pub struct Complex<T: Float> {
-    pub real: T,
-    pub imaginary: T,
-}
-
-impl<T: Float + fmt::Debug> fmt::Debug for Complex<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(
-            f,
-            "Complex {{ real: {:?}, imaginary: {:?} }}",
-            self.real, self.imaginary
-        )
-    }
-}
-
-impl<T: Float + fmt::Display> fmt::Display for Complex<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(f, "{} + {}i", self.real, self.imaginary)
-    }
-}
-
-impl<T: Float> Complex<T> {
-    pub fn new(real: T, imaginary: T) -> Complex<T> {
-        Complex { real, imaginary }
-    }
-
-    pub fn get_conjugate(&self) -> Complex<T> {
-        Complex {
-            real: self.real,
-            imaginary: -self.imaginary,
-        }
-    }
-
-    pub fn conjugate(&mut self) {
-        self.imaginary = -self.imaginary;
-    }
-
-    pub fn phase(&self) -> T {
-        T::atan2(self.imaginary, self.real)
-    }
-
-    pub fn norm(&self) -> T {
-        self.real * self.real + self.imaginary * self.imaginary
-    }
-
-    pub fn abs(&self) -> T {
-        T::sqrt(self.norm())
-    }
-}
-
-impl<T: Float> ops::Neg for Complex<T> {
-    type Output = Complex<T>;
-
-    fn neg(self) -> Complex<T> {
-        Complex {
-            real: -self.real,
-            imaginary: -self.imaginary,
-        }
-    }
-}
-
-impl<T: Float> ops::Add for Complex<T> {
-    type Output = Complex<T>;
-
-    fn add(self, other: Complex<T>) -> Complex<T> {
-        Complex {
-            real: self.real + other.real,
-            imaginary: self.imaginary + other.imaginary,
-        }
-    }
-}
-
-impl<T: Float> ops::Sub for Complex<T> {
-    type Output = Complex<T>;
-
-    fn sub(self, other: Complex<T>) -> Complex<T> {
-        Complex {
-            real: self.real - other.real,
-            imaginary: self.imaginary - other.imaginary,
-        }
-    }
-}
-
-impl<T: Float> ops::Mul for Complex<T> {
-    type Output = Complex<T>;
-
-    fn mul(self, other: Complex<T>) -> Complex<T> {
-        Complex {
-            real: self.real * other.real - self.imaginary * other.imaginary,
-            imaginary: self.real * other.imaginary + self.imaginary * other.real,
-        }
-    }
-}
-
-impl<T: Float> ops::Div for Complex<T> {
-    type Output = Complex<T>;
-
-    fn div(self, other: Complex<T>) -> Complex<T> {
-        let denom = other.real * other.real + other.imaginary * other.imaginary;
-        Complex {
-            real: (self.real * other.real + self.imaginary * other.imaginary) / denom,
-            imaginary: (self.imaginary * other.real - self.real * other.imaginary) / denom,
-        }
-    }
-}
-
-impl<T: Float> ops::Add<T> for Complex<T> {
-    type Output = Complex<T>;
-
-    fn add(self, other: T) -> Complex<T> {
-        Complex {
-            real: self.real + other,
-            imaginary: self.imaginary,
-        }
-    }
-}
-
-impl<T: Float> ops::Sub<T> for Complex<T> {
-    type Output = Complex<T>;
-
-    fn sub(self, other: T) -> Complex<T> {
-        Complex {
-            real: self.real - other,
-            imaginary: self.imaginary,
-        }
-    }
-}
-
-impl<T: Float> ops::Mul<T> for Complex<T> {
-    type Output = Complex<T>;
-
-    fn mul(self, other: T) -> Complex<T> {
-        Complex {
-            real: self.real * other,
-            imaginary: self.imaginary * other,
-        }
-    }
-}
-
-impl<T: Float> ops::Div<T> for Complex<T> {
-    type Output = Complex<T>;
-
-    fn div(self, other: T) -> Complex<T> {
-        Complex {
-            real: self.real / other,
-            imaginary: self.imaginary / other,
-        }
-    }
-}
-
-impl<T: Float> ops::AddAssign for Complex<T> {
-    fn add_assign(&mut self, other: Complex<T>) {
-        self.real += other.real;
-        self.imaginary += other.imaginary;
-    }
-}
-
-impl<T: Float> ops::SubAssign for Complex<T> {
-    fn sub_assign(&mut self, other: Complex<T>) {
-        self.real -= other.real;
-        self.imaginary -= other.imaginary;
-    }
-}
-
-impl<T: Float> ops::MulAssign for Complex<T> {
-    fn mul_assign(&mut self, other: Complex<T>) {
-        let new_real = self.real * other.real - self.imaginary * other.imaginary;
-        let new_imaginary = self.real * other.imaginary + self.imaginary * other.real;
-        self.real = new_real;
-        self.imaginary = new_imaginary;
-    }
-}
-
-impl<T: Float> ops::DivAssign for Complex<T> {
-    fn div_assign(&mut self, other: Complex<T>) {
-        let denom = other.real * other.real + other.imaginary * other.imaginary;
-        let new_real = (self.real * other.real + self.imaginary * other.imaginary) / denom;
-        let new_imaginary = (self.imaginary * other.real - self.real * other.imaginary) / denom;
-        self.real = new_real;
-        self.imaginary = new_imaginary;
-    }
-}
-
-impl<T: Float> ops::AddAssign<T> for Complex<T> {
-    fn add_assign(&mut self, other: T) {
-        self.real += other;
-    }
-}
-
-impl<T: Float> ops::SubAssign<T> for Complex<T> {
-    fn sub_assign(&mut self, other: T) {
-        self.real -= other;
-    }
-}
-
-impl<T: Float> ops::MulAssign<T> for Complex<T> {
-    fn mul_assign(&mut self, other: T) {
-        self.real *= other;
-        self.imaginary *= other;
-    }
-}
-
-impl<T: Float> ops::DivAssign<T> for Complex<T> {
-    fn div_assign(&mut self, other: T) {
-        self.real /= other;
-        self.imaginary /= other;
-    }
-}
diff --git a/libmu/src/maths/matrix.rs b/libmu/src/maths/matrix.rs
deleted file mode 100644
index 388f858..0000000
--- a/libmu/src/maths/matrix.rs
+++ /dev/null
@@ -1,245 +0,0 @@
-// TODO(Hachem): Refactor
-
-use super::Float;
-use core::{fmt, ops};
-
-#[macro_export]
-macro_rules! matrix {
-    ( $( $( $x:expr ),* );* ) => {{
-        let mut data = Vec::new();
-        let mut rows = 0;
-        let mut cols = 0;
-
-        $(
-            let row_data = $( $x )*;
-            if cols == 0 {
-                cols = row_data.len();
-            }
-            assert_eq!(cols, row_data.len(), "All rows must have the same number of columns.");
-            data.extend(row_data);
-            rows += 1;
-        )*
-
-        $crate::Matrix::new(rows, cols, data)
-    }};
-}
-
-#[derive(Clone)]
-pub struct Matrix<T: Float> {
-    pub data: Vec<T>,
-    pub rows: usize,
-    pub cols: usize,
-}
-
-impl<T: Float> Matrix<T> {
-    pub fn new(rows: usize, cols: usize, data: Vec<T>) -> Self {
-        Matrix { data, rows, cols }
-    }
-
-    pub fn get(&self, row: usize, col: usize) -> T {
-        self.data[row * self.cols + col]
-    }
-
-    pub fn set(&mut self, row: usize, col: usize, value: T) {
-        self.data[row * self.cols + col] = value;
-    }
-
-    pub fn dot(&self, other: &Self) -> Option<Matrix<T>> {
-        if self.cols != other.rows {
-            return None;
-        }
-
-        let mut result = Matrix::new(
-            self.rows,
-            other.cols,
-            vec![T::zero(); self.rows * other.cols],
-        );
-        for i in 0..self.rows {
-            for j in 0..other.cols {
-                let mut sum = T::zero();
-                for k in 0..self.cols {
-                    sum = sum + (self.get(i, k) * other.get(k, j));
-                }
-                result.set(i, j, sum);
-            }
-        }
-        Some(result)
-    }
-
-    pub fn kronecker(&self, other: &Self) -> Matrix<T> {
-        let new_rows = self.rows * other.rows;
-        let new_cols = self.cols * other.cols;
-
-        let mut result = Matrix::new(new_rows, new_cols, vec![T::zero(); new_rows * new_cols]);
-
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                let self_val = self.get(i, j);
-                for k in 0..other.rows {
-                    for l in 0..other.cols {
-                        let result_row = i * other.rows + k;
-                        let result_col = j * other.cols + l;
-                        result.set(result_row, result_col, self_val.clone() * other.get(k, l));
-                    }
-                }
-            }
-        }
-
-        result
-    }
-
-    pub fn transpose(&self) -> Matrix<T> {
-        let mut result = Matrix::new(self.cols, self.rows, vec![T::zero(); self.cols * self.rows]);
-
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                let value = self.get(i, j);
-                result.set(j, i, value);
-            }
-        }
-
-        result
-    }
-
-    pub fn add_to(&self, other: &Self) -> Option<Matrix<T>> {
-        if self.rows != other.rows || self.cols != other.cols {
-            return None;
-        }
-
-        let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]);
-
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                let sum = self.get(i, j) + other.get(i, j);
-                result.set(i, j, sum);
-            }
-        }
-        Some(result)
-    }
-
-    pub fn subtract(&self, other: &Self) -> Option<Matrix<T>> {
-        if self.rows != other.rows || self.cols != other.cols {
-            return None;
-        }
-
-        let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]);
-
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                let diff = self.get(i, j) - other.get(i, j);
-                result.set(i, j, diff);
-            }
-        }
-        Some(result)
-    }
-
-    pub fn scale(&self, scalar: T) -> Matrix<T> {
-        let mut result = Matrix::new(self.rows, self.cols, vec![T::zero(); self.rows * self.cols]);
-
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                let scaled_value = self.get(i, j) * scalar;
-                result.set(i, j, scaled_value);
-            }
-        }
-        result
-    }
-}
-
-impl<T: Float> ops::Index<(usize, usize)> for Matrix<T> {
-    type Output = T;
-
-    fn index(&self, index: (usize, usize)) -> &Self::Output {
-        &self.data[index.0 * self.cols + index.1]
-    }
-}
-
-impl<T: Float> ops::IndexMut<(usize, usize)> for Matrix<T> {
-    fn index_mut(&mut self, index: (usize, usize)) -> &mut Self::Output {
-        &mut self.data[index.0 * self.cols + index.1]
-    }
-}
-
-impl<T: Float + fmt::Debug> fmt::Debug for Matrix<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                write!(f, "{:?} ", self.get(i, j))?;
-            }
-            writeln!(f)?;
-        }
-        Ok(())
-    }
-}
-
-impl<T: Float + fmt::Display> fmt::Display for Matrix<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        for i in 0..self.rows {
-            for j in 0..self.cols {
-                write!(f, "{:>8} ", self.get(i, j))?;
-            }
-            writeln!(f)?;
-        }
-        Ok(())
-    }
-}
-
-impl<T: Float> ops::Add<&Matrix<T>> for Matrix<T> {
-    type Output = Option<Matrix<T>>;
-
-    fn add(self, other: &Matrix<T>) -> Self::Output {
-        self.add_to(other)
-    }
-}
-
-impl<T: Float> ops::Sub<&Matrix<T>> for Matrix<T> {
-    type Output = Option<Matrix<T>>;
-
-    fn sub(self, other: &Matrix<T>) -> Self::Output {
-        self.subtract(other)
-    }
-}
-
-impl<T: Float> ops::Mul<T> for Matrix<T> {
-    type Output = Matrix<T>;
-
-    fn mul(self, scalar: T) -> Self::Output {
-        self.scale(scalar)
-    }
-}
-
-impl<T: Float> ops::Div<T> for Matrix<T> {
-    type Output = Matrix<T>;
-
-    fn div(self, scalar: T) -> Self::Output {
-        self.scale(T::one() / scalar)
-    }
-}
-
-impl<T: Float> ops::AddAssign<&Matrix<T>> for Matrix<T> {
-    fn add_assign(&mut self, other: &Matrix<T>) {
-        if let Some(result) = self.add_to(other) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float> ops::SubAssign<&Matrix<T>> for Matrix<T> {
-    fn sub_assign(&mut self, other: &Matrix<T>) {
-        if let Some(result) = self.subtract(other) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float> ops::MulAssign<T> for Matrix<T> {
-    fn mul_assign(&mut self, scalar: T) {
-        *self = self.scale(scalar);
-    }
-}
-
-impl<T: Float> ops::DivAssign<T> for Matrix<T> {
-    fn div_assign(&mut self, scalar: T) {
-        *self = self.scale(T::one() / scalar);
-    }
-}
diff --git a/libmu/src/maths/mod.rs b/libmu/src/maths/mod.rs
deleted file mode 100644
index 734cfb4..0000000
--- a/libmu/src/maths/mod.rs
+++ /dev/null
@@ -1,8 +0,0 @@
-pub mod complex;
-pub mod matrix;
-pub mod numeric_types;
-pub mod vector;
-
-pub use complex::*;
-pub use matrix::*;
-pub use numeric_types::*;
diff --git a/libmu/src/maths/numeric_types.rs b/libmu/src/maths/numeric_types.rs
deleted file mode 100644
index f1355de..0000000
--- a/libmu/src/maths/numeric_types.rs
+++ /dev/null
@@ -1,152 +0,0 @@
-use super::Complex;
-use core::ops;
-
-pub trait Numeric:
-    Copy
-    + PartialOrd
-    + ops::Add<Output = Self>
-    + ops::Mul<Output = Self>
-    + ops::Sub<Output = Self>
-    + ops::Div<Output = Self>
-    + ops::Neg<Output = Self>
-    + ops::AddAssign
-    + ops::SubAssign
-    + ops::MulAssign
-    + ops::DivAssign
-{
-    fn zero() -> Self;
-    fn one() -> Self;
-}
-
-pub trait Integer: Numeric {}
-pub trait Float: Numeric {
-    fn sqrt(self) -> Self;
-    fn atan2(y: Self, x: Self) -> Self;
-}
-
-impl Float for f32 {
-    fn sqrt(self) -> Self {
-        libm::sqrtf(self)
-    }
-
-    fn atan2(y: Self, x: Self) -> Self {
-        libm::atan2f(y, x)
-    }
-}
-
-impl Float for f64 {
-    fn sqrt(self) -> Self {
-        libm::sqrt(self)
-    }
-
-    fn atan2(y: Self, x: Self) -> Self {
-        libm::atan2(y, x)
-    }
-}
-
-impl Float for Complex<f32> {
-    fn sqrt(self) -> Self {
-        let r = self.abs();
-        let theta = self.phase();
-
-        let sqrt_r = libm::sqrtf(r);
-        let sqrt_theta = theta / 2.0;
-
-        Complex::new(
-            sqrt_r * libm::cosf(sqrt_theta),
-            sqrt_r * libm::sinf(sqrt_theta),
-        )
-    }
-
-    fn atan2(y: Self, x: Self) -> Self {
-        Complex::new(
-            libm::atan2f(y.real, x.real),
-            libm::atan2f(y.imaginary, x.imaginary),
-        )
-    }
-}
-
-impl Float for Complex<f64> {
-    fn sqrt(self) -> Self {
-        let r = self.abs();
-        let theta = self.phase();
-
-        let sqrt_r = libm::sqrt(r);
-        let sqrt_theta = theta / 2.0;
-
-        Complex::new(
-            sqrt_r * libm::cos(sqrt_theta),
-            sqrt_r * libm::sin(sqrt_theta),
-        )
-    }
-
-    fn atan2(y: Self, x: Self) -> Self {
-        Complex::new(
-            libm::atan2(y.real, x.real),
-            libm::atan2(y.imaginary, x.imaginary),
-        )
-    }
-}
-
-impl Integer for i64 {}
-impl Integer for i32 {}
-
-impl Numeric for i32 {
-    fn zero() -> Self {
-        0
-    }
-
-    fn one() -> Self {
-        1
-    }
-}
-
-impl Numeric for i64 {
-    fn zero() -> Self {
-        0
-    }
-
-    fn one() -> Self {
-        1
-    }
-}
-
-impl Numeric for f32 {
-    fn zero() -> Self {
-        0.0
-    }
-
-    fn one() -> Self {
-        1.0
-    }
-}
-
-impl Numeric for f64 {
-    fn zero() -> Self {
-        0.0
-    }
-
-    fn one() -> Self {
-        1.0
-    }
-}
-
-impl Numeric for Complex<f32> {
-    fn zero() -> Self {
-        Complex::new(0.0, 0.0)
-    }
-
-    fn one() -> Self {
-        Complex::new(1.0, 0.0)
-    }
-}
-
-impl Numeric for Complex<f64> {
-    fn zero() -> Self {
-        Complex::new(0.0, 0.0)
-    }
-
-    fn one() -> Self {
-        Complex::new(1.0, 0.0)
-    }
-}
diff --git a/libmu/src/maths/vector.rs b/libmu/src/maths/vector.rs
deleted file mode 100644
index 0c13e4c..0000000
--- a/libmu/src/maths/vector.rs
+++ /dev/null
@@ -1,374 +0,0 @@
-// TODO(Hachem): Operators Matrix/Vector don't work
-// TODO(Hachem): Refactor
-
-use super::{Float, Matrix};
-use core::{fmt, ops};
-
-#[macro_export]
-macro_rules! row_vector {
-    ($($x:expr),*) => {
-        RowVector::new(vec![$($x),*])
-    };
-    ($($x:expr,)*) => {
-        RowVector::new(vec![$($x),*])
-    };
-}
-
-#[macro_export]
-macro_rules! column_vector {
-    ($($x:expr),*) => {
-        ColumnVector::new(vec![$($x),*])
-    };
-    ($($x:expr,)*) => {
-        ColumnVector::new(vec![$($x),*])
-    };
-}
-
-pub trait Vector<T: Float> {
-    fn new(data: Vec<T>) -> Self;
-    fn get(&self, index: usize) -> T;
-    fn set(&mut self, index: usize, value: T);
-    fn size(&self) -> usize;
-
-    fn dot(&self, other: &Self) -> T;
-    fn norm(&self) -> T;
-
-    fn max(&self) -> T;
-    fn min(&self) -> T;
-    fn sum(&self) -> T;
-}
-
-pub trait VectorMatrix<T: Float> {
-    fn from_matrix(matrix: &Matrix<T>) -> Self;
-    fn to_matrix(&self) -> Matrix<T>;
-}
-
-pub struct VectorImpl<T: Float, const ROWS: usize, const COLS: usize>(Vec<T>);
-pub type RowVector<T> = VectorImpl<T, 1, 0>;
-pub type ColumnVector<T> = VectorImpl<T, 0, 1>;
-
-impl<T: Float> ColumnVector<T> {
-    pub fn mul_matrix(&self, matrix: &Matrix<T>) -> Option<ColumnVector<T>> {
-        if matrix.cols != self.size() {
-            return None;
-        }
-
-        let mut result = ColumnVector::new(vec![T::zero(); matrix.rows]);
-
-        for i in 0..matrix.rows {
-            let mut sum = T::zero();
-            for j in 0..matrix.cols {
-                sum = sum + (matrix.get(i, j) * self.get(j));
-            }
-            result.set(i, sum);
-        }
-
-        Some(result)
-    }
-
-    pub fn transpose(&self) -> RowVector<T> {
-        RowVector::new(self.0.clone())
-    }
-}
-
-impl<T: Float> RowVector<T> {
-    pub fn mul_matrix(&self, matrix: &Matrix<T>) -> Option<RowVector<T>> {
-        if self.size() != matrix.rows {
-            return None;
-        }
-
-        let mut result = RowVector::new(vec![T::zero(); matrix.cols]);
-
-        for j in 0..matrix.cols {
-            let mut sum = T::zero();
-            for i in 0..matrix.rows {
-                sum = sum + (self.get(i) * matrix.get(i, j));
-            }
-            result.set(j, sum);
-        }
-
-        Some(result)
-    }
-
-    pub fn transpose(&self) -> ColumnVector<T> {
-        ColumnVector::new(self.0.clone())
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> Vector<T> for VectorImpl<T, ROWS, COLS> {
-    fn new(data: Vec<T>) -> Self {
-        Self(data)
-    }
-
-    fn get(&self, index: usize) -> T {
-        self.0[index]
-    }
-
-    fn set(&mut self, index: usize, value: T) {
-        self.0[index] = value;
-    }
-
-    fn size(&self) -> usize {
-        self.0.len()
-    }
-
-    fn dot(&self, other: &Self) -> T {
-        self.0
-            .iter()
-            .zip(other.0.iter())
-            .map(|(a, b)| *a * *b)
-            .fold(T::zero(), |acc, x| acc + x)
-    }
-
-    fn norm(&self) -> T {
-        self.0
-            .iter()
-            .map(|x| *x * *x)
-            .fold(T::zero(), |acc, x| acc + x)
-            .sqrt()
-    }
-
-    fn max(&self) -> T {
-        *self
-            .0
-            .iter()
-            .max_by(|a, b| a.partial_cmp(b).unwrap())
-            .unwrap_or(&T::zero())
-    }
-
-    fn min(&self) -> T {
-        *self
-            .0
-            .iter()
-            .min_by(|a, b| a.partial_cmp(b).unwrap())
-            .unwrap_or(&T::zero())
-    }
-
-    fn sum(&self) -> T {
-        self.0.iter().fold(T::zero(), |acc, x| acc + *x)
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> VectorImpl<T, ROWS, COLS> {
-    pub fn add_to(&self, other: &Self) -> Option<VectorImpl<T, ROWS, COLS>> {
-        if self.size() != other.size() {
-            return None;
-        }
-
-        let mut result = VectorImpl::new(vec![T::zero(); ROWS * COLS]);
-
-        for i in 0..self.size() {
-            let sum = self.get(i) + other.get(i);
-            result.set(i, sum);
-        }
-
-        Some(result)
-    }
-
-    pub fn subtract(&self, other: &Self) -> Option<VectorImpl<T, ROWS, COLS>> {
-        if self.size() != other.size() {
-            return None;
-        }
-
-        let mut result = VectorImpl::new(vec![T::zero(); ROWS * COLS]);
-
-        for i in 0..self.size() {
-            let sum = self.get(i) - other.get(i);
-            result.set(i, sum);
-        }
-
-        Some(result)
-    }
-
-    pub fn scale(&self, scalar: T) -> VectorImpl<T, ROWS, COLS> {
-        let mut result = VectorImpl::new(vec![T::zero(); ROWS * COLS]);
-
-        for i in 0..self.size() {
-            let product = self.get(i) * scalar;
-            result.set(i, product);
-        }
-
-        result
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::Index<usize>
-    for VectorImpl<T, ROWS, COLS>
-{
-    type Output = T;
-
-    fn index(&self, index: usize) -> &Self::Output {
-        &self.0[index]
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::IndexMut<usize>
-    for VectorImpl<T, ROWS, COLS>
-{
-    fn index_mut(&mut self, index: usize) -> &mut Self::Output {
-        &mut self.0[index]
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::Add<&VectorImpl<T, ROWS, COLS>>
-    for VectorImpl<T, ROWS, COLS>
-{
-    type Output = Option<VectorImpl<T, ROWS, COLS>>;
-
-    fn add(self, other: &VectorImpl<T, ROWS, COLS>) -> Self::Output {
-        self.add_to(other)
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::Sub<&VectorImpl<T, ROWS, COLS>>
-    for VectorImpl<T, ROWS, COLS>
-{
-    type Output = Option<VectorImpl<T, ROWS, COLS>>;
-
-    fn sub(self, other: &VectorImpl<T, ROWS, COLS>) -> Self::Output {
-        self.subtract(other)
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::Mul<T> for VectorImpl<T, ROWS, COLS> {
-    type Output = VectorImpl<T, ROWS, COLS>;
-
-    fn mul(self, scalar: T) -> Self::Output {
-        self.scale(scalar)
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::Div<T> for VectorImpl<T, ROWS, COLS> {
-    type Output = VectorImpl<T, ROWS, COLS>;
-
-    fn div(self, scalar: T) -> Self::Output {
-        self.scale(T::one() / scalar)
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::AddAssign<VectorImpl<T, ROWS, COLS>>
-    for VectorImpl<T, ROWS, COLS>
-{
-    fn add_assign(&mut self, other: VectorImpl<T, ROWS, COLS>) {
-        if let Some(result) = self.add_to(&other) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::SubAssign<VectorImpl<T, ROWS, COLS>>
-    for VectorImpl<T, ROWS, COLS>
-{
-    fn sub_assign(&mut self, other: VectorImpl<T, ROWS, COLS>) {
-        if let Some(result) = self.subtract(&other) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::MulAssign<T>
-    for VectorImpl<T, ROWS, COLS>
-{
-    fn mul_assign(&mut self, scalar: T) {
-        *self = self.scale(scalar);
-    }
-}
-
-impl<T: Float, const ROWS: usize, const COLS: usize> ops::DivAssign<T>
-    for VectorImpl<T, ROWS, COLS>
-{
-    fn div_assign(&mut self, scalar: T) {
-        *self = self.scale(T::one() / scalar);
-    }
-}
-
-impl<T: Float> VectorMatrix<T> for RowVector<T> {
-    fn to_matrix(&self) -> Matrix<T> {
-        Matrix::new(1, self.size(), self.0.clone())
-    }
-
-    fn from_matrix(matrix: &Matrix<T>) -> Self {
-        Self::new(matrix.data.clone())
-    }
-}
-
-impl<T: Float> VectorMatrix<T> for ColumnVector<T> {
-    fn to_matrix(&self) -> Matrix<T> {
-        Matrix::new(self.size(), 1, self.0.clone())
-    }
-
-    fn from_matrix(matrix: &Matrix<T>) -> Self {
-        Self::new(matrix.data.clone())
-    }
-}
-
-impl<T: Float> ops::Mul<&Matrix<T>> for RowVector<T> {
-    type Output = Option<RowVector<T>>;
-
-    fn mul(self, matrix: &Matrix<T>) -> Self::Output {
-        self.mul_matrix(matrix)
-    }
-}
-
-impl<T: Float> ops::Mul<&Matrix<T>> for ColumnVector<T> {
-    type Output = Option<ColumnVector<T>>;
-
-    fn mul(self, matrix: &Matrix<T>) -> Self::Output {
-        self.mul_matrix(matrix)
-    }
-}
-
-impl<T: Float> ops::MulAssign<&Matrix<T>> for RowVector<T> {
-    fn mul_assign(&mut self, matrix: &Matrix<T>) {
-        if let Some(result) = self.mul_matrix(matrix) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float> ops::MulAssign<&Matrix<T>> for ColumnVector<T> {
-    fn mul_assign(&mut self, matrix: &Matrix<T>) {
-        if let Some(result) = self.mul_matrix(matrix) {
-            *self = result;
-        }
-    }
-}
-
-impl<T: Float + fmt::Debug> fmt::Debug for RowVector<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(f, "RowVector({:?})", self.0)
-    }
-}
-
-impl<T: Float + fmt::Debug> fmt::Debug for ColumnVector<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(f, "ColumnVector({:?})", self.0)
-    }
-}
-
-impl<T: Float + fmt::Display> fmt::Display for RowVector<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(
-            f,
-            "[{}]",
-            self.0
-                .iter()
-                .map(|x| x.to_string())
-                .collect::<Vec<String>>()
-                .join(", ")
-        )
-    }
-}
-
-impl<T: Float + fmt::Display> fmt::Display for ColumnVector<T> {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        write!(f, "[")?;
-        for (i, x) in self.0.iter().enumerate() {
-            if i > 0 {
-                write!(f, ",\n ")?;
-            }
-            write!(f, "{}", x)?;
-        }
-        write!(f, "]")
-    }
-}