Vector

A vector class designed to be used with arduino, but could be used anywhere I suppose.

Usage

Vector<double, 3> v1 {1.2, 0.141, 3.14}; // Constructor using std::initializer_list<T>
Vector<int, 3> v2 {0, 1, 2};

Vector<double, 3> v1 {2.4, 0, 0};
Vector<double, 3> v2 {0, 2.4, 0};
Vector<double, 3> v3 = v1.cross(v2);

Vector<double, 3> v4 = v3.normalized();

Vector<double, 3> v5 = v4 * 2;

Vector<double, 3> v6 = v4 / 2;

Vector<double, 3> v7 = {1, 2, 3};
Vector<double, 3> v8 = {4, 5, 6};
double dot = v7.dot(v8);

double norm = v7.norm();
double mag = v7.magnitude(); // identical to norm

Vector<double, 3> v9 = v7; // copy assignment
v9 *= 2;

Vector<double, 3> v10 = std::move(v9); // move assignment

v10 /= 2;

// Vector operations
Vector<double, 3> v1v2Cross = v1.cross(v2);
Vector<double, 3> v1UnitVector = v1.normalized();

// Vector casting
Vector<int, 3> vInt = {1, 2, 3};
Vector<double, 6> vDouble = (Vector<double, 6>) vInt;

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Vector operations

There are a number of vector operations:

• norm() take the norm of the caller vector (magnitude)
• dot(Vector<T, s> v) dot product of caller vector and v (not limited to 3 dimensions).
• normalise() normalise the caller vector
• normalised() get the normalised version of the caller vector
• cross(Vector<T, s> v) get the cross product of the caller vector and v (only 3D);
• directionCosines() get the direction cosines of the caller vector: l, m, n.

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TODO:

• Transforms by rotation matrices
• Standard reference frame transforms (for accelerometers in different reference frames).