vector.h

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#ifndef MATH_VECTOR_H
#define MATH_VECTOR_H

#include "common/stream.h"

#include "math/matrix.h"
#include "math/utils.h"

namespace Math {

template<int dim>
class MatrixType<dim, 1> : public MatrixBase<dim, 1> {
public:
    void normalize();
    Vector(dim) getNormalized() const;
    float getMagnitude() const;
    float getSquareMagnitude() const;
    float getDistanceTo(const Vector(dim) &point) const;
    float dotProduct(const Vector(dim) &v) const;

    inline void setValue(int i, float val) { value(i) = val; }
    inline float getValue(int i) const { return value(i); }

    template<int d>
    inline static float dotProduct(const Vector(d) &v1, const Vector(d) &v2) {
        return v1.dotProduct(v2);
    }

    void readFromStream(Common::ReadStream *stream);

protected:
    MatrixType() : MatrixBase<dim, 1>() { }
    MatrixType(const float *data) : MatrixBase<dim, 1>(data) { }
    MatrixType(const MatrixBase<dim, 1> &m) : MatrixBase<dim, 1>(m) { }

    inline float &value(int i) { return this->operator()(i, 0); }
    inline float value(int i) const { return this->operator()(i, 0); }
};


template<int dim>
void MatrixType<dim, 1>::normalize() {
    float mag = getMagnitude();
    if (mag > 0.f) {
        for (int i = 0; i < dim; ++i) {
            this->operator()(i, 0) /= mag;
        }
    }
}

template<int dim>
Vector(dim) MatrixType<dim, 1>::getNormalized() const {
    Vector(dim) v(*this);
    v.normalize();
    return v;
}

template<int dim>
float MatrixType<dim, 1>::getMagnitude() const {
    return sqrt(getSquareMagnitude());
}

template<int dim>
float MatrixType<dim, 1>::getSquareMagnitude() const {
    float mag = 0;
    for (int i = 0; i < dim; ++i) {
        mag += square(getValue(i));
    }
    return mag;
}

template<int dim>
float MatrixType<dim, 1>::getDistanceTo(const Vector(dim) &point) const {
    float result = 0;
    for (int i = 0; i < dim; ++i) {
        result += square(getValue(i) - point.getValue(i));
    }
    return sqrt(result);
}

template<int dim>
float MatrixType<dim, 1>::dotProduct(const Vector(dim) &v) const {
    float result = 0;
    for (int i = 0; i < dim; ++i) {
        result += value(i) * v.value(i);
    }
    return result;
}

template<int dim>
void MatrixType<dim, 1>::readFromStream(Common::ReadStream *stream) {
    for (int i = 0; i < dim; ++i) {
        setValue(i, stream->readFloatLE());
    }
}


template<int dim>
Common::Debug &operator<<(Common::Debug dbg, const Math::Matrix<dim, 1> &v) {
    dbg.nospace() << "Vector<" << dim << ">(" << v.getValue(0);
    for (int i = 1; i < dim; ++i) {
        dbg << ", " << v.getValue(i);
    }
    dbg << ")";

    return dbg.space();
}

}

#endif