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#pragma once
#include <cstddef>
#include <sstream>
#include <iostream>
#include <iterator>
#include <cmath>
#include <functional>
template <size_t S, typename T = float>
struct Vector {
public:
Vector(): elements{} {};
template<typename ...Args>
Vector<S, T>(Args... args) : elements{ args... } {};
Vector<S, T>(T values[S]) {
std::copy(values, values + S, elements);
};
Vector<S, T>(Vector<S - 1, T> vector, T scalar) {
std::copy(vector.elements, vector.elements + S - 1, elements);
elements[S - 1] = scalar;
}
Vector<S, T> map(std::function<T(T)> f) const {
Vector<S, T> result{};
for (int i = 0; i < S; i++) {
result[i] = f(elements[i]);
}
return result;
}
Vector<S, T> map(std::function<T(size_t, T)> f) const {
Vector<S, T> result{};
for (int i = 0; i < S; i++) {
result[i] = f(i, elements[i]);
}
return result;
}
T reduce(std::function<T(T, T)> f) const {
T result = elements[0];
for (int i = 1; i < S; i++) {
result = f(result, elements[i]);
}
return result;
}
T sum() const {
return reduce([](auto x, auto y) { return x + y; });
}
T magnitude() const {
return sqrt(map([](auto x) { return x * x;}).sum());
}
Vector<S, T> normalize() const {
auto m = magnitude();
return map([=](auto x) { return x / m; });
}
Vector<3, T> cross(Vector<3, T> other) const {
return {
y() * other.z() - z() * other.y(),
z() * other.x() - x() * other.z(),
x() * other.y() - y() * other.x(),
};
}
T operator[](size_t index) const {
return elements[index];
}
T& operator[](size_t index) {
return elements[index];
}
Vector<S, T> operator+(Vector<S, T> other) const {
return map([&](auto i, auto x) { return x + other[i]; });
}
Vector<S, T> operator*(T scalar) const {
return map([=](auto x) { return x * scalar; });
}
T operator*(Vector<S, T> other) const {
return map([&](auto i, auto x) { return x * other[i]; }).sum();
}
Vector<S, T> operator-(Vector<S, T> other) const {
return map([&](auto i, auto x) { return x - other[i]; });
}
Vector<S, T> operator-() const {
return map([](T x) -> T { return -x; });
}
T x() const {
static_assert(S > 0);
return elements[0];
}
T y() const {
static_assert(S > 1);
return elements[1];
}
T z() const {
static_assert(S > 2);
return elements[2];
}
T w() const {
static_assert(S > 3);
return elements[3];
}
std::string string() const {
std::stringstream str{};
str << "[ ";
for (int i = 0; i < S; i++) {
str << elements[i] << " ";
}
str << "]";
return str.str();
}
T elements[S];
};
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