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template <typename T, size_t N>
class vec_t {
template<size_t index, typename... U>
void load_from_args(void)
{
static_assert(index < N + 1, "too many elements in the initializer");
static_assert(index > N - 1, "too few elements in the initializer");
}
template<size_t index, typename... U>
void load_from_args(T first, U... rest)
{
v[index] = first;
load_from_args<index + 1>(rest...);
}
public:
T v[N];
// Basic operations
vec_t() = default;
template<typename... U>
vec_t(T first, U... rest)
{
load_from_args<0>(first, rest...);
}
template<typename U>
vec_t(vec_t<U, N> b)
{
for (size_t i = 0; i < N; i++)
v[i] = (T)b[i];
}
T& operator[](size_t i)
{
return v[i];
}
const T& operator[](size_t i) const
{
return v[i];
}
void broadcast(T x)
{
for (size_t i = 0; i < N; i++)
v[i] = x;
}
// Comparison
friend bool operator==(const vec_t<T, N> &a, const vec_t<T, N> &b)
{
for (size_t i = 0; i < N; i++)
if (a[i] != b[i])
return false;
return true;
}
// Good enough for maps or sets.
friend bool operator<(const vec_t<T, N> &a, const vec_t<T, N> &b)
{
for (size_t i = 0; i < N; i++) {
if (a[i] < b[i])
return true;
else if (a[i] > b[i])
return false;
}
return false;
}
// Arithmetics
friend vec_t<T, N> operator+(const vec_t<T, N> &v)
{
return v;
}
friend vec_t<T, N> operator+(const vec_t<T, N> &a, const vec_t<T, N> &b)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = a[i] + b[i];
return r;
}
friend vec_t<T, N> &operator+=(vec_t<T, N> &v, const vec_t<T, N> &b)
{
for (size_t i = 0; i < N; i++)
v[i] += b[i];
return v;
}
friend vec_t<T, N> operator-(const vec_t<T, N> &v)
{
return -1 * v;
}
friend vec_t<T, N> operator-(const vec_t<T, N> &a, const vec_t<T, N> &b)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = a[i] - b[i];
return r;
}
friend vec_t<T, N> &operator-=(vec_t<T, N> &v, const vec_t<T, N> &b)
{
for (size_t i = 0; i < N; i++)
v[i] -= b[i];
return v;
}
friend T operator*(const vec_t<T, N> &a, const vec_t<T, N> &b)
{
T r = (T)0;
for (size_t i = 0; i < N; i++)
r += a[i] * b[i];
return r;
}
friend vec_t<T, N> operator*(const vec_t<T, N> &a, const T &b)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = a[i] * b;
return r;
}
friend vec_t<T, N> operator*(const T &b, const vec_t<T, N> &a)
{
return a * b;
}
friend vec_t<T, N> &operator*=(vec_t<T, N> &v, const T &b)
{
for (size_t i = 0; i < N; i++)
v[i] *= b;
return v;
}
friend vec_t<T, N> operator/(const vec_t<T, N> &a, const T &b)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = a[i] / b;
return r;
}
friend vec_t<T, N> operator/(const T &b, const vec_t<T, N> &a)
{
return a / b;
}
friend vec_t<T, N> &operator/=(vec_t<T, N> &v, const T &b)
{
for (size_t i = 0; i < N; i++)
v[i] /= b;
return v;
}
vec_t<T, N> floor(void)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = std::floor(v[i]);
return r;
}
vec_t<T, N> ceil(void)
{
vec_t<T, N> r;
for (size_t i = 0; i < N; i++)
r[i] = std::ceil(v[i]);
return r;
}
T len(void)
{
return std::sqrt(*this * *this);
}
T angle(void)
{
static_assert(N == 2, "angle called for a vector that's not 2-dimensional");
return atan2(v[1], v[0]);
}
// Compatibility with SFML
template <typename U>
operator sf::Vector2<U>() const
{
static_assert(N == 2, "conversion of vec_t with N != 2 to sf::Vector2");
return sf::Vector2<U>((U)v[0], (U)v[1]);
}
template <typename U>
vec_t(sf::Vector2<U> b)
{
static_assert(N == 2, "conversion of sf::Vector2 to vec_t with N != 2");
v[0] = b.x;
v[1] = b.y;
}
// Compatibility with iostream
friend std::ostream& operator<<(std::ostream& stream, vec_t<T, N> v)
{
stream << "(";
for (size_t i = 0; i < N; i++) {
if (i)
stream << ", ";
stream << v.v[i];
}
stream << ")";
return stream;
}
};
template <typename T, size_t N>
class rect_t {
public:
vec_t<T, N> v[2];
rect_t() = default;
rect_t(vec_t<T, N> a, vec_t<T, N> b)
{
v[0] = a;
v[1] = b;
}
vec_t<T, N>& operator[](size_t i)
{
return v[i];
}
const vec_t<T, N>& operator[](size_t i) const
{
return v[i];
}
T dim(size_t i) const
{
return v[1][i] - v[0][i];
}
rect_t<T, N> norm(void) const
{
rect_t<T, N> r;
for (size_t i = 0; i < N; i++) {
r[0][i] = std::min(v[0][i], v[1][i]);
r[1][i] = std::max(v[0][i], v[1][i]);
}
return r;
}
friend bool operator&&(const rect_t<T, N> &a, const rect_t<T, N> &b)
{
for (size_t i = 0; i < N; i++)
if (a[1][i] < b[0][i] || a[0][i] > b[1][i])
return false;
return true;
}
friend rect_t<T, N> operator|(const rect_t<T, N> &a, const rect_t<T, N> &b)
{
rect_t r;
r[0][0] = std::min(a[0][0], b[0][0]);
r[0][1] = std::min(a[0][1], b[0][1]);
r[1][0] = std::max(a[1][0], b[1][0]);
r[1][1] = std::max(a[1][1], b[1][1]);
return r;
}
friend std::ostream& operator<<(std::ostream& stream, rect_t<T, N> r)
{
stream << "(" << r[0] << " x " << r[1] << ")";
return stream;
}
};
// Shorthands
typedef vec_t<float, 2> v2f_t;
typedef vec_t<double, 2> v2d_t;
typedef rect_t<float, 2> rectf_t;
typedef rect_t<double, 2> rectd_t;
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