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vector.hh
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vector.hh
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#ifndef VECTOR_HH
#define VECTOR_HH
#include <cmath>
/// N-component vector.
template <class T,int N>
class Vector {
private:
T _data[N]{};
public:
Vector() = default;
~Vector() = default;
Vector(const Vector&) = default;
Vector& operator=(const Vector&) = default;
Vector(Vector&&) = default;
Vector& operator=(Vector&&) = default;
template <class ... Args> explicit constexpr
Vector(Args ... args): _data{args...} {}
explicit constexpr Vector(const T* data) {
for (int i=0; i<N; ++i) { _data[i] = data[i]; }
}
T& operator[](int i) { return _data[i]; }
T operator[](int i) const { return _data[i]; }
T& operator()(int i) { return _data[i]; }
T operator()(int i) const { return _data[i]; }
T* begin() { return _data; }
const T* begin() const { return _data; }
T* end() { return _data+N; }
const T* end() const { return _data+N; }
T* data() { return _data; }
const T* data() const { return _data; }
static constexpr int size() { return N; }
const Vector& operator+() const { return *this; }
Vector operator-() const {
Vector tmp(*this);
for (auto& e : tmp) { e = -e; }
return tmp;
}
Vector& operator=(T rhs) {
for (int i=0; i<N; ++i) { _data[i] = rhs; }
return *this;
}
};
#define GPC_BINARY_OPERATOR(op) \
template <class T,int N> \
Vector<T,N> operator op(const Vector<T,N>& a, const Vector<T,N>& b) { \
Vector<T,N> result(a); \
for (int i=0; i<N; ++i) { result[i] = result[i] op b[i]; } \
return result; \
} \
template <class T,int N> \
Vector<T,N> operator op(const Vector<T,N>& a, T b) { \
Vector<T,N> result(a); \
for (int i=0; i<N; ++i) { result[i] = result[i] op b; } \
return result; \
} \
template <class T,int N> \
Vector<T,N> operator op(T a, const Vector<T,N>& b) { \
Vector<T,N> result(b); \
for (int i=0; i<N; ++i) { result[i] = a op result[i]; } \
return result; \
}
GPC_BINARY_OPERATOR(+);
GPC_BINARY_OPERATOR(-);
GPC_BINARY_OPERATOR(*);
GPC_BINARY_OPERATOR(/);
#define GPC_BINARY_OPERATOR_EQ(op) \
template <class T,int N> \
Vector<T,N>& operator op(Vector<T,N>& a, const Vector<T,N>& b) { \
for (int i=0; i<N; ++i) { a[i] op b[i]; } \
return a; \
} \
template <class T,int N> \
Vector<T,N>& operator op(Vector<T,N>& a, T b) { \
for (int i=0; i<N; ++i) { a[i] op b; } \
return a; \
}
GPC_BINARY_OPERATOR_EQ(+=);
GPC_BINARY_OPERATOR_EQ(-=);
GPC_BINARY_OPERATOR_EQ(*=);
GPC_BINARY_OPERATOR_EQ(/=);
/// Dot product.
template <class T,int N>
T dot(const Vector<T,N>& a, const Vector<T,N>& b) {
T result{};
for (int i=0; i<N; ++i) { result += a[i]*b[i]; }
return result;
}
/// Raise each element of the vector to the power of two.
template <class T,int N>
T square(const Vector<T,N>& v) {
T result{};
for (T e : v) { result += e*e; }
return result;
}
/// Geometric vector length.
template <class T,int N>
T length(const Vector<T,N>& v) {
return std::sqrt(square(v));
}
/// Geometric distance between two points.
template <class T,int N>
T distance(const Vector<T,N>& a, const Vector<T,N>& b) {
return length(b-a);
}
/// Return normalised vector.
template <class T,int N>
Vector<T,N> unit(const Vector<T,N>& v) {
auto len = length(v);
if (len == T{}) { return v; }
return v/len;
}
/// Cross product of the two two-dimensional vectors.
template <class T>
T cross(const Vector<T,2>& a, const Vector<T,2>& b) {
return a(0)*b(1)-a(1)*b(0);
}
/// Cross product of the two three-dimensional vectors.
template <class T>
Vector<T,3> cross(const Vector<T,3>& a, const Vector<T,3>& b) {
return {a(1)*b(2)-a(2)*b(1), a(2)*b(0)-a(0)*b(2), a(0)*b(1)-a(1)*b(0)};
}
/// Raise each element of the vector to the specified power.
template <class T,int N>
Vector<T,N> pow(const Vector<T,N>& v, T p) {
Vector<T,N> result(v);
for (T& e : result) { e = std::pow(e,p); }
return result;
}
#endif // vim:filetype=cpp