Consolidate mathematical functions into single file and add more

1 files changed, 46 insertions, 0 deletions

diff --git a/src/Math/Functions.hpp b/src/Math/Functions.hpp
new file mode 100644
index 0000000..fd99c6d
--- /dev/null
+++ b/src/Math/Functions.hpp
@@ -0,0 +1,46 @@
+#pragma once
+
+#include <cmath>
+#include "Constants.hpp"
+
+namespace Math {
+
+// I. Trigonometric functions.
+
+template<typename T>
+T radians(T degrees) {
+    return degrees * PI / 180.0f;
+}
+
+template<typename T>
+T degrees(T radians) {
+    return radians * 180.0f / PI;
+}
+
+// II. Mathematical functions.
+
+template <typename T>
+T sigmoid(T x) {
+    return 1 / (1 + std::pow(E, -x));
+}
+
+// Returns the least nonnegative remainder of a % b.
+// Euclidian definition of modulo.
+template <typename A, typename B>
+auto mod(A a, B b) -> decltype(a % b) {
+    return (a % b + b) % b;
+}
+
+template <typename T, typename R = T>
+R sign(T x) {
+    return x < 0 ? -1 : 1;
+}
+
+// III. Utility functions.
+
+template <typename T>
+Bool floats_equal(T a, T b, Real epsilon = 0.0001f) {
+    return std::abs(a - b) < epsilon;
+}
+
+}
\ No newline at end of file