Numeric Types and Complex Numbers

5 files changed, 240 insertions, 0 deletions

diff --git a/libmu/Cargo.toml b/libmu/Cargo.toml
new file mode 100644
index 0000000..f451347
--- /dev/null
+++ b/libmu/Cargo.toml
@@ -0,0 +1,6 @@
+[package]
+name = "libmu"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]
diff --git a/libmu/src/lib.rs b/libmu/src/lib.rs
new file mode 100644
index 0000000..f96993c
--- /dev/null
+++ b/libmu/src/lib.rs
@@ -0,0 +1,4 @@
+mod maths;
+
+pub use maths::complex;
+pub use maths::numeric_types;
diff --git a/libmu/src/maths/complex.rs b/libmu/src/maths/complex.rs
new file mode 100644
index 0000000..dcd5902
--- /dev/null
+++ b/libmu/src/maths/complex.rs
@@ -0,0 +1,181 @@
+use crate::numeric_types::FloatTypes;
+use std::ops;
+
+pub struct Complex<T: FloatTypes> {
+    pub real: T,
+    pub imaginary: T,
+}
+
+impl<T: FloatTypes> Complex<T> {
+    pub fn new(real: T, imaginary: T) -> Complex<T> {
+        Complex { real, imaginary }
+    }
+
+    pub fn get_conjugate(&self) -> Complex<T> {
+        Complex::new(self.real, -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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> 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: FloatTypes> ops::AddAssign for Complex<T> {
+    fn add_assign(&mut self, other: Complex<T>) {
+        self.real += other.real;
+        self.imaginary += other.imaginary;
+    }
+}
+
+impl<T: FloatTypes> ops::SubAssign for Complex<T> {
+    fn sub_assign(&mut self, other: Complex<T>) {
+        self.real -= other.real;
+        self.imaginary -= other.imaginary;
+    }
+}
+
+impl<T: FloatTypes> 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: FloatTypes> 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: FloatTypes> ops::AddAssign<T> for Complex<T> {
+    fn add_assign(&mut self, other: T) {
+        self.real += other;
+    }
+}
+
+impl<T: FloatTypes> ops::SubAssign<T> for Complex<T> {
+    fn sub_assign(&mut self, other: T) {
+        self.real -= other;
+    }
+}
+
+impl<T: FloatTypes> ops::MulAssign<T> for Complex<T> {
+    fn mul_assign(&mut self, other: T) {
+        self.real *= other;
+        self.imaginary *= other;
+    }
+}
+
+impl<T: FloatTypes> 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/mod.rs b/libmu/src/maths/mod.rs
new file mode 100644
index 0000000..5986ab8
--- /dev/null
+++ b/libmu/src/maths/mod.rs
@@ -0,0 +1,2 @@
+pub mod complex;
+pub mod numeric_types;
diff --git a/libmu/src/maths/numeric_types.rs b/libmu/src/maths/numeric_types.rs
new file mode 100644
index 0000000..dac766f
--- /dev/null
+++ b/libmu/src/maths/numeric_types.rs
@@ -0,0 +1,47 @@
+use std::ops;
+
+pub trait NumericTypes:
+    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
+{
+}
+
+pub trait IntTypes: NumericTypes {}
+pub trait FloatTypes: NumericTypes {
+    fn sqrt(self) -> Self;
+    fn atan2(y: Self, x: Self) -> Self;
+}
+
+impl FloatTypes for f32 {
+    fn sqrt(self) -> Self {
+        self.sqrt()
+    }
+
+    fn atan2(y: Self, x: Self) -> Self {
+        y.atan2(x)
+    }
+}
+
+impl FloatTypes for f64 {
+    fn sqrt(self) -> Self {
+        self.sqrt()
+    }
+
+    fn atan2(y: Self, x: Self) -> Self {
+        y.atan2(x)
+    }
+}
+
+impl NumericTypes for i32 {}
+impl NumericTypes for i64 {}
+impl NumericTypes for f32 {}
+impl NumericTypes for f64 {}