#ifndef VECTOROPERATIONS_
#define VECTOROPERATIONS_

#include <stdint.h>
#include <cmath>

template<typename T>
class VectorOperations {
public:
	virtual ~VectorOperations() {
	}

	static void cross(const T left[], const T right[], T out[]) {
		T temp[3] = { 0, 0, 0 };
		temp[0] = left[1] * right[2] - left[2] * right[1];
		temp[1] = left[2] * right[0] - left[0] * right[2];
		temp[2] = left[0] * right[1] - left[1] * right[0];
		out[0] = temp[0];
		out[1] = temp[1];
		out[2] = temp[2];
	}

	static T dot(const T a[], const T b[]) {
		return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];
	}

	static void mulScalar(const T vector[], T scalar, T out[], uint8_t size) {
		for (; size > 0; size--) {
			out[size - 1] = vector[size - 1] * scalar;
		}
	}

	static void add(const T vector1[], const T vector2[], T sum[],
			uint8_t size = 3) {
		for (; size > 0; size--) {
			sum[size - 1] = vector1[size - 1] + vector2[size - 1];
		}
	}

	static void subtract(const T vector1[], const T vector2[], T sum[],
				uint8_t size = 3) {
			for (; size > 0; size--) {
				sum[size - 1] = vector1[size - 1] - vector2[size - 1];
			}
		}

	static T norm(const T *vector, uint8_t size) {
		T result = 0;
		for (; size > 0; size--) {
			result += vector[size - 1] * vector[size - 1];
		}
		result = sqrt(result);
		return result;
	}

	static void normalize(const T *vector, T *normalizedVector, uint8_t size) {
		mulScalar(vector, 1 / norm(vector, size), normalizedVector, size);
	}

	static T maxAbsValue(const T *vector, uint8_t size, uint8_t *index = 0) {

		T max = -1;

		for (; size > 0; size--) {
			T abs = vector[size - 1];
			if (abs < 0) {
				abs = -abs;
			}
			if (abs > max) {
				max = abs;
				if (index != 0) {
					*index = size - 1;
				}
			}
		}
		return max;
	}

private:
	VectorOperations();
};

#endif /* VECTOROPERATIONS_ */