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#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;
}
// Returns the sign of a number.
// -1 if x < 0, 1 if x > 0, 0 if x == 0.
template <typename T, typename R = T>
R sign(T x) {
return (x > 0) - (x < 0);
}
// III. Utility functions.
// Compares two floating point numbers for equality, with a given epsilon.
template <typename T>
Bool floats_equal(T a, T b, Real epsilon = 0.0001f) {
return std::abs(a - b) < epsilon;
}
// Compares two floating point numbers for inequality, with a given epsilon.
template <typename T>
Bool floats_less(T a, T b, Real epsilon = 0.0001f) {
return a < b - epsilon;
}
}
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