// Copyright (C) 2020 The Qt Company Ltd.

// Copyright (C) 2020 Klarälvdalens Datakonsult AB, a KDAB Group company, info@kdab.com, author Giuseppe D'Angelo <giuseppe.dangelo@kdab.com>

// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only

// Qt-Security score:significant reason:default

#ifndef QVECTORND_H

#define QVECTORND_H

#include <QtGui/qtguiglobal.h>

#include <QtCore/qhashfunctions.h>

#include <QtCore/qpoint.h>

#include <QtCore/qrect.h>

#include <QtCore/qmath.h>

#include <QtCore/q20type_traits.h>

#include <QtCore/q23utility.h>

QT_BEGIN_NAMESPACE

// QT_ENABLE_P0846_SEMANTICS_FOR(get) // from qpoint.h

class QVector2D;

class QVector3D;

class QVector4D;

class QMatrix4x4;

class QVariant;

/***************************** QVector2D *****************************/

#ifndef QT_NO_VECTOR2D

class QVector2D

{

public:

    constexpr QVector2D() noexcept;

    explicit QVector2D(Qt::Initialization) noexcept {}

    constexpr QVector2D(float xpos, float ypos) noexcept;

    constexpr explicit QVector2D(QPoint point) noexcept;

    constexpr explicit QVector2D(QPointF point) noexcept;

#ifndef QT_NO_VECTOR3D

    constexpr explicit QVector2D(QVector3D vector) noexcept;

#endif

#ifndef QT_NO_VECTOR4D

    constexpr explicit QVector2D(QVector4D vector) noexcept;

#endif

    constexpr bool isNull() const noexcept;

    constexpr float x() const noexcept;

    constexpr float y() const noexcept;

    constexpr void setX(float x) noexcept;

    constexpr void setY(float y) noexcept;

    constexpr float &operator[](int i);

    constexpr float operator[](int i) const;

    [[nodiscard]] float length() const noexcept;

    [[nodiscard]] constexpr float lengthSquared() const noexcept;

    [[nodiscard]] QVector2D normalized() const noexcept;

    void normalize() noexcept;

    [[nodiscard]] float distanceToPoint(QVector2D point) const noexcept;

    [[nodiscard]] float distanceToLine(QVector2D point, QVector2D direction) const noexcept;

    constexpr QVector2D &operator+=(QVector2D vector) noexcept;

    constexpr QVector2D &operator-=(QVector2D vector) noexcept;

    constexpr QVector2D &operator*=(float factor) noexcept;

    constexpr QVector2D &operator*=(QVector2D vector) noexcept;

    constexpr QVector2D &operator/=(float divisor);

    constexpr QVector2D &operator/=(QVector2D vector);

    [[nodiscard]] static constexpr float dotProduct(QVector2D v1, QVector2D v2) noexcept;

QT_WARNING_PUSH

QT_WARNING_DISABLE_FLOAT_COMPARE

    constexpr friend inline bool operator==(QVector2D v1, QVector2D v2) noexcept

    {

        return v1.v[0] == v2.v[0] && v1.v[1] == v2.v[1];

    }

    constexpr friend inline bool operator!=(QVector2D v1, QVector2D v2) noexcept

    {

        return v1.v[0] != v2.v[0] || v1.v[1] != v2.v[1];

    }

QT_WARNING_POP

    constexpr friend size_t qHash(QVector2D key, size_t seed = 0) noexcept

    {

        return qHashMulti(seed, key.x(), key.y());

    }

    constexpr friend inline QVector2D operator+(QVector2D v1, QVector2D v2) noexcept

    {

        return QVector2D(v1.v[0] + v2.v[0], v1.v[1] + v2.v[1]);

    }

    constexpr friend inline QVector2D operator-(QVector2D v1, QVector2D v2) noexcept

    {

        return QVector2D(v1.v[0] - v2.v[0], v1.v[1] - v2.v[1]);

    }

    constexpr friend inline QVector2D operator*(float factor, QVector2D vector) noexcept

    {

        return QVector2D(vector.v[0] * factor, vector.v[1] * factor);

    }

    constexpr friend inline QVector2D operator*(QVector2D vector, float factor) noexcept

    {

        return QVector2D(vector.v[0] * factor, vector.v[1] * factor);

    }

    constexpr friend inline QVector2D operator*(QVector2D v1, QVector2D v2) noexcept

    {

        return QVector2D(v1.v[0] * v2.v[0], v1.v[1] * v2.v[1]);

    }

    constexpr friend inline QVector2D operator-(QVector2D vector) noexcept

    {

        return QVector2D(-vector.v[0], -vector.v[1]);

    }

    constexpr friend inline QVector2D operator/(QVector2D vector, float divisor)

    {

        Q_ASSERT(divisor < 0 || divisor > 0);

        return QVector2D(vector.v[0] / divisor, vector.v[1] / divisor);

    }

    constexpr friend inline QVector2D operator/(QVector2D vector, QVector2D divisor)

    {

        Q_ASSERT(divisor.v[0] < 0 || divisor.v[0] > 0);

        Q_ASSERT(divisor.v[1] < 0 || divisor.v[1] > 0);

        return QVector2D(vector.v[0] / divisor.v[0], vector.v[1] / divisor.v[1]);

    }

    friend Q_GUI_EXPORT bool qFuzzyCompare(QVector2D v1, QVector2D v2) noexcept;

#ifndef QT_NO_VECTOR3D

    constexpr QVector3D toVector3D() const noexcept;

#endif

#ifndef QT_NO_VECTOR4D

    constexpr QVector4D toVector4D() const noexcept;

#endif

    constexpr QPoint toPoint() const noexcept;

    constexpr QPointF toPointF() const noexcept;

    Q_GUI_EXPORT operator QVariant() const;

private:

    float v[2];

    friend class QVector3D;

    friend class QVector4D;

    template <std::size_t I,

              typename V,

              std::enable_if_t<(I < 2), bool> = true,

              std::enable_if_t<std::is_same_v<q20::remove_cvref_t<V>, QVector2D>, bool> = true>

    friend constexpr decltype(auto) get(V &&vec) noexcept

    {

        return q23::forward_like<V>(vec.v[I]);

    }

};

Q_DECLARE_TYPEINFO(QVector2D, Q_PRIMITIVE_TYPE);

#endif // QT_NO_VECTOR2D

/***************************** QVector3D *****************************/

#ifndef QT_NO_VECTOR3D

class QVector3D

{

public:

    constexpr QVector3D() noexcept;

    explicit QVector3D(Qt::Initialization) noexcept {}

    constexpr QVector3D(float xpos, float ypos, float zpos) noexcept : v{xpos, ypos, zpos} {}

    constexpr explicit QVector3D(QPoint point) noexcept;

    constexpr explicit QVector3D(QPointF point) noexcept;

#ifndef QT_NO_VECTOR2D

    constexpr explicit QVector3D(QVector2D vector) noexcept;

    constexpr QVector3D(QVector2D vector, float zpos) noexcept;

#endif

#ifndef QT_NO_VECTOR4D

    constexpr explicit QVector3D(QVector4D vector) noexcept;

#endif

    constexpr bool isNull() const noexcept;

    constexpr float x() const noexcept;

    constexpr float y() const noexcept;

    constexpr float z() const noexcept;

    constexpr void setX(float x) noexcept;

    constexpr void setY(float y) noexcept;

    constexpr void setZ(float z) noexcept;

    constexpr float &operator[](int i);

    constexpr float operator[](int i) const;

    [[nodiscard]] float length() const noexcept;

    [[nodiscard]] constexpr float lengthSquared() const noexcept;

    [[nodiscard]] QVector3D normalized() const noexcept;

    void normalize() noexcept;

    constexpr QVector3D &operator+=(QVector3D vector) noexcept;

    constexpr QVector3D &operator-=(QVector3D vector) noexcept;

    constexpr QVector3D &operator*=(float factor) noexcept;

    constexpr QVector3D &operator*=(QVector3D vector) noexcept;

    constexpr QVector3D &operator/=(float divisor);

    constexpr QVector3D &operator/=(QVector3D vector);

    [[nodiscard]] static constexpr float dotProduct(QVector3D v1, QVector3D v2) noexcept;

    [[nodiscard]] static constexpr QVector3D crossProduct(QVector3D v1, QVector3D v2) noexcept;

    [[nodiscard]] static QVector3D normal(QVector3D v1, QVector3D v2) noexcept;

    [[nodiscard]] static QVector3D normal(QVector3D v1, QVector3D v2, QVector3D v3) noexcept;

    Q_GUI_EXPORT QVector3D project(const QMatrix4x4 &modelView, const QMatrix4x4 &projection, const QRect &viewport) const;

    Q_GUI_EXPORT QVector3D unproject(const QMatrix4x4 &modelView, const QMatrix4x4 &projection, const QRect &viewport) const;

QT_WARNING_PUSH

QT_WARNING_DISABLE_FLOAT_COMPARE

    constexpr friend inline bool operator==(QVector3D v1, QVector3D v2) noexcept

    {

        return v1.v[0] == v2.v[0] && v1.v[1] == v2.v[1] && v1.v[2] == v2.v[2];

    }

    constexpr friend inline bool operator!=(QVector3D v1, QVector3D v2) noexcept

    {

        return v1.v[0] != v2.v[0] || v1.v[1] != v2.v[1] || v1.v[2] != v2.v[2];

    }

QT_WARNING_POP

    constexpr friend size_t qHash(QVector3D key, size_t seed = 0) noexcept

    {

        return qHashMulti(seed, key.x(), key.y(), key.z());

    }

    float distanceToPoint(QVector3D point) const noexcept;

    constexpr float distanceToPlane(QVector3D plane, QVector3D normal) const noexcept;

    float distanceToPlane(QVector3D plane1, QVector3D plane2, QVector3D plane3) const noexcept;

    float distanceToLine(QVector3D point, QVector3D direction) const noexcept;

    constexpr friend inline QVector3D operator+(QVector3D v1, QVector3D v2) noexcept

    {

        return QVector3D(v1.v[0] + v2.v[0], v1.v[1] + v2.v[1], v1.v[2] + v2.v[2]);

    }

    constexpr friend inline QVector3D operator-(QVector3D v1, QVector3D v2) noexcept

    {

        return QVector3D(v1.v[0] - v2.v[0], v1.v[1] - v2.v[1], v1.v[2] - v2.v[2]);

    }

    constexpr friend inline QVector3D operator*(float factor, QVector3D vector) noexcept

    {

        return QVector3D(vector.v[0] * factor, vector.v[1] * factor, vector.v[2] * factor);

    }

    constexpr friend inline QVector3D operator*(QVector3D vector, float factor) noexcept

    {

        return QVector3D(vector.v[0] * factor, vector.v[1] * factor, vector.v[2] * factor);

    }

    constexpr friend inline QVector3D operator*(QVector3D v1, QVector3D v2) noexcept

    {

        return QVector3D(v1.v[0] * v2.v[0], v1.v[1] * v2.v[1], v1.v[2] * v2.v[2]);

    }

    constexpr friend inline QVector3D operator-(QVector3D vector) noexcept

    {

        return QVector3D(-vector.v[0], -vector.v[1], -vector.v[2]);

    }

    constexpr friend inline QVector3D operator/(QVector3D vector, float divisor)

    {

        Q_ASSERT(divisor < 0 || divisor > 0);

        return QVector3D(vector.v[0] / divisor, vector.v[1] / divisor, vector.v[2] / divisor);

    }

    constexpr friend inline QVector3D operator/(QVector3D vector, QVector3D divisor)

    {

        Q_ASSERT(divisor.v[0] > 0 || divisor.v[0] < 0);

        Q_ASSERT(divisor.v[1] > 0 || divisor.v[1] < 0);

        Q_ASSERT(divisor.v[2] > 0 || divisor.v[2] < 0);

        return QVector3D(vector.v[0] / divisor.v[0], vector.v[1] / divisor.v[1],

                         vector.v[2] / divisor.v[2]);

    }

    friend Q_GUI_EXPORT bool qFuzzyCompare(QVector3D v1, QVector3D v2) noexcept;

#ifndef QT_NO_VECTOR2D

    constexpr QVector2D toVector2D() const noexcept;

#endif

#ifndef QT_NO_VECTOR4D

    constexpr QVector4D toVector4D() const noexcept;

#endif

    constexpr QPoint toPoint() const noexcept;

    constexpr QPointF toPointF() const noexcept;

    Q_GUI_EXPORT operator QVariant() const;

private:

    float v[3];

    friend class QVector2D;

    friend class QVector4D;

#ifndef QT_NO_MATRIX4X4

    friend QVector3D operator*(const QVector3D& vector, const QMatrix4x4& matrix);

    friend QVector3D operator*(const QMatrix4x4& matrix, const QVector3D& vector);

#endif

    template <std::size_t I,

              typename V,

              std::enable_if_t<(I < 3), bool> = true,

              std::enable_if_t<std::is_same_v<q20::remove_cvref_t<V>, QVector3D>, bool> = true>

    friend constexpr decltype(auto) get(V &&vec) noexcept

    {

        return q23::forward_like<V>(vec.v[I]);

    }

};

Q_DECLARE_TYPEINFO(QVector3D, Q_PRIMITIVE_TYPE);

#endif // QT_NO_VECTOR3D

/***************************** QVector4D *****************************/

#ifndef QT_NO_VECTOR4D

class QVector4D

{

public:

    constexpr QVector4D() noexcept;

    explicit QVector4D(Qt::Initialization) noexcept {}

    constexpr QVector4D(float xpos, float ypos, float zpos, float wpos) noexcept;

    constexpr explicit QVector4D(QPoint point) noexcept;

    constexpr explicit QVector4D(QPointF point) noexcept;

#ifndef QT_NO_VECTOR2D

    constexpr explicit QVector4D(QVector2D vector) noexcept;

    constexpr QVector4D(QVector2D vector, float zpos, float wpos) noexcept;

#endif

#ifndef QT_NO_VECTOR3D

    constexpr explicit QVector4D(QVector3D vector) noexcept;

    constexpr QVector4D(QVector3D vector, float wpos) noexcept;

#endif

    constexpr bool isNull() const noexcept;

    constexpr float x() const noexcept;

    constexpr float y() const noexcept;

    constexpr float z() const noexcept;

    constexpr float w() const noexcept;

    constexpr void setX(float x) noexcept;

    constexpr void setY(float y) noexcept;

    constexpr void setZ(float z) noexcept;

    constexpr void setW(float w) noexcept;

    constexpr float &operator[](int i);

    constexpr float operator[](int i) const;

    [[nodiscard]] float length() const noexcept;

    [[nodiscard]] constexpr float lengthSquared() const noexcept;

    [[nodiscard]] QVector4D normalized() const noexcept;

    void normalize() noexcept;

    constexpr QVector4D &operator+=(QVector4D vector) noexcept;

    constexpr QVector4D &operator-=(QVector4D vector) noexcept;

    constexpr QVector4D &operator*=(float factor) noexcept;

    constexpr QVector4D &operator*=(QVector4D vector) noexcept;

    constexpr QVector4D &operator/=(float divisor);

    constexpr inline QVector4D &operator/=(QVector4D vector);

    [[nodiscard]] static constexpr float dotProduct(QVector4D v1, QVector4D v2) noexcept;

QT_WARNING_PUSH

QT_WARNING_DISABLE_FLOAT_COMPARE

    constexpr friend inline bool operator==(QVector4D v1, QVector4D v2) noexcept

    {

        return v1.v[0] == v2.v[0] && v1.v[1] == v2.v[1] && v1.v[2] == v2.v[2] && v1.v[3] == v2.v[3];

    }

    constexpr friend inline bool operator!=(QVector4D v1, QVector4D v2) noexcept

    {

        return v1.v[0] != v2.v[0] || v1.v[1] != v2.v[1] || v1.v[2] != v2.v[2] || v1.v[3] != v2.v[3];

    }

QT_WARNING_POP

    constexpr friend size_t qHash(QVector4D key, size_t seed = 0) noexcept

    {

        return qHashMulti(seed, key.x(), key.y(), key.z(), key.w());

    }

    constexpr friend inline QVector4D operator+(QVector4D v1, QVector4D v2) noexcept

    {

        return QVector4D(v1.v[0] + v2.v[0], v1.v[1] + v2.v[1], v1.v[2] + v2.v[2], v1.v[3] + v2.v[3]);

    }

    constexpr friend inline QVector4D operator-(QVector4D v1, QVector4D v2) noexcept

    {

        return QVector4D(v1.v[0] - v2.v[0], v1.v[1] - v2.v[1], v1.v[2] - v2.v[2], v1.v[3] - v2.v[3]);

    }

    constexpr friend inline QVector4D operator*(float factor, QVector4D vector) noexcept

    {

        return QVector4D(vector.v[0] * factor, vector.v[1] * factor, vector.v[2] * factor, vector.v[3] * factor);

    }

    constexpr friend inline QVector4D operator*(QVector4D vector, float factor) noexcept

    {

        return QVector4D(vector.v[0] * factor, vector.v[1] * factor, vector.v[2] * factor, vector.v[3] * factor);

    }

    constexpr friend inline QVector4D operator*(QVector4D v1, QVector4D v2) noexcept

    {

        return QVector4D(v1.v[0] * v2.v[0], v1.v[1] * v2.v[1], v1.v[2] * v2.v[2], v1.v[3] * v2.v[3]);

    }

    constexpr friend inline QVector4D operator-(QVector4D vector) noexcept

    {

        return QVector4D(-vector.v[0], -vector.v[1], -vector.v[2], -vector.v[3]);

    }

    constexpr friend inline QVector4D operator/(QVector4D vector, float divisor)

    {

        Q_ASSERT(divisor < 0 || divisor > 0);

        return QVector4D(vector.v[0] / divisor, vector.v[1] / divisor, vector.v[2] / divisor, vector.v[3] / divisor);

    }

    constexpr friend inline QVector4D operator/(QVector4D vector, QVector4D divisor)

    {

        Q_ASSERT(divisor.v[0] > 0 || divisor.v[0] < 0);

        Q_ASSERT(divisor.v[1] > 0 || divisor.v[1] < 0);

        Q_ASSERT(divisor.v[2] > 0 || divisor.v[2] < 0);

        Q_ASSERT(divisor.v[3] > 0 || divisor.v[3] < 0);

        return QVector4D(vector.v[0] / divisor.v[0], vector.v[1] / divisor.v[1],

                         vector.v[2] / divisor.v[2], vector.v[3] / divisor.v[3]);

    }

    friend Q_GUI_EXPORT bool qFuzzyCompare(QVector4D v1, QVector4D v2) noexcept;

#ifndef QT_NO_VECTOR2D

    constexpr QVector2D toVector2D() const noexcept;

    constexpr QVector2D toVector2DAffine() const noexcept;

#endif

#ifndef QT_NO_VECTOR3D

    constexpr QVector3D toVector3D() const noexcept;

    constexpr QVector3D toVector3DAffine() const noexcept;

#endif

    constexpr QPoint toPoint() const noexcept;

    constexpr QPointF toPointF() const noexcept;

    Q_GUI_EXPORT operator QVariant() const;

private:

    float v[4];

    friend class QVector2D;

    friend class QVector3D;

    friend class QMatrix4x4;

#ifndef QT_NO_MATRIX4X4

    friend QVector4D operator*(const QVector4D& vector, const QMatrix4x4& matrix);

    friend QVector4D operator*(const QMatrix4x4& matrix, const QVector4D& vector);

#endif

    template <std::size_t I,

              typename V,

              std::enable_if_t<(I < 4), bool> = true,

              std::enable_if_t<std::is_same_v<q20::remove_cvref_t<V>, QVector4D>, bool> = true>

    friend constexpr decltype(auto) get(V &&vec) noexcept

    {

        return q23::forward_like<V>(vec.v[I]);

    }

};

Q_DECLARE_TYPEINFO(QVector4D, Q_PRIMITIVE_TYPE);

#endif // QT_NO_VECTOR4D

/***************************** QVector2D *****************************/

#ifndef QT_NO_VECTOR2D

constexpr inline QVector2D::QVector2D() noexcept : v{0.0f, 0.0f} {}

constexpr inline QVector2D::QVector2D(float xpos, float ypos) noexcept : v{xpos, ypos} {}

constexpr inline QVector2D::QVector2D(QPoint point) noexcept : v{float(point.x()), float(point.y())} {}

constexpr inline QVector2D::QVector2D(QPointF point) noexcept : v{float(point.x()), float(point.y())} {}

#ifndef QT_NO_VECTOR3D

constexpr inline QVector2D::QVector2D(QVector3D vector) noexcept : v{vector[0], vector[1]} {}

#endif

#ifndef QT_NO_VECTOR4D

constexpr inline QVector2D::QVector2D(QVector4D vector) noexcept : v{vector[0], vector[1]} {}

#endif

constexpr inline bool QVector2D::isNull() const noexcept

{

    return qIsNull(v[0]) && qIsNull(v[1]);

}

constexpr inline float QVector2D::x() const noexcept { return v[0]; }

constexpr inline float QVector2D::y() const noexcept { return v[1]; }

constexpr inline void QVector2D::setX(float aX) noexcept { v[0] = aX; }

constexpr inline void QVector2D::setY(float aY) noexcept { v[1] = aY; }

constexpr inline float &QVector2D::operator[](int i)

{

    Q_ASSERT(uint(i) < 2u);

    return v[i];

}

constexpr inline float QVector2D::operator[](int i) const

{

    Q_ASSERT(uint(i) < 2u);

    return v[i];

}

inline float QVector2D::length() const noexcept

{

    return qHypot(v[0], v[1]);

}

constexpr inline float QVector2D::lengthSquared() const noexcept

{

    return v[0] * v[0] + v[1] * v[1];

}

inline QVector2D QVector2D::normalized() const noexcept

{

    const float len = length();

    return qFuzzyIsNull(len - 1.0f) ? *this : qFuzzyIsNull(len) ? QVector2D()

        : QVector2D(v[0] / len, v[1] / len);

}

inline void QVector2D::normalize() noexcept

{

    const float len = length();

    if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))

        return;

    v[0] /= len;

    v[1] /= len;

}

inline float QVector2D::distanceToPoint(QVector2D point) const noexcept

{

    return (*this - point).length();

}

inline float QVector2D::distanceToLine(QVector2D point, QVector2D direction) const noexcept

{

    if (direction.isNull())

        return (*this - point).length();

    QVector2D p = point + dotProduct(*this - point, direction) * direction;

    return (*this - p).length();

}

constexpr inline QVector2D &QVector2D::operator+=(QVector2D vector) noexcept

{

    v[0] += vector.v[0];

    v[1] += vector.v[1];

    return *this;

}

constexpr inline QVector2D &QVector2D::operator-=(QVector2D vector) noexcept

{

    v[0] -= vector.v[0];

    v[1] -= vector.v[1];

    return *this;

}

constexpr inline QVector2D &QVector2D::operator*=(float factor) noexcept

{

    v[0] *= factor;

    v[1] *= factor;

    return *this;

}

constexpr inline QVector2D &QVector2D::operator*=(QVector2D vector) noexcept

{

    v[0] *= vector.v[0];

    v[1] *= vector.v[1];

    return *this;

}

constexpr inline QVector2D &QVector2D::operator/=(float divisor)

{

    Q_ASSERT(divisor < 0 || divisor > 0);

    v[0] /= divisor;

    v[1] /= divisor;

    return *this;

}

constexpr inline QVector2D &QVector2D::operator/=(QVector2D vector)

{

    Q_ASSERT(vector.v[0] > 0 || vector.v[0] < 0);

    Q_ASSERT(vector.v[1] > 0 || vector.v[1] < 0);

    v[0] /= vector.v[0];

    v[1] /= vector.v[1];

    return *this;

}

constexpr inline float QVector2D::dotProduct(QVector2D v1, QVector2D v2) noexcept

{

    return v1.v[0] * v2.v[0] + v1.v[1] * v2.v[1];

}

#ifndef QT_NO_VECTOR3D

constexpr inline QVector3D QVector2D::toVector3D() const noexcept

{

    return QVector3D(v[0], v[1], 0.0f);

}

#endif

#ifndef QT_NO_VECTOR4D

constexpr inline QVector4D QVector2D::toVector4D() const noexcept

{

    return QVector4D(v[0], v[1], 0.0f, 0.0f);

}

#endif

constexpr inline QPoint QVector2D::toPoint() const noexcept

{

    return QPoint(qRound(v[0]), qRound(v[1]));

}

constexpr inline QPointF QVector2D::toPointF() const noexcept

{

    return QPointF(qreal(v[0]), qreal(v[1]));

}

#ifndef QT_NO_DEBUG_STREAM

Q_GUI_EXPORT QDebug operator<<(QDebug dbg, QVector2D vector);

#endif

#ifndef QT_NO_DATASTREAM

Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, QVector2D );

Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QVector2D &);

#endif

#endif // QT_NO_VECTOR2D

/***************************** QVector3D *****************************/

#ifndef QT_NO_VECTOR3D

constexpr inline QVector3D::QVector3D() noexcept : v{0.0f, 0.0f, 0.0f} {}

constexpr inline QVector3D::QVector3D(QPoint point) noexcept : v{float(point.x()), float(point.y()), 0.0f} {}

constexpr inline QVector3D::QVector3D(QPointF point) noexcept : v{float(point.x()), float(point.y()), 0.0f} {}

#ifndef QT_NO_VECTOR2D

constexpr inline QVector3D::QVector3D(QVector2D vector) noexcept : v{vector[0], vector[1], 0.0f} {}

constexpr inline QVector3D::QVector3D(QVector2D vector, float zpos) noexcept : v{vector[0], vector[1], zpos} {}

#endif

#ifndef QT_NO_VECTOR4D

constexpr inline QVector3D::QVector3D(QVector4D vector) noexcept : v{vector[0], vector[1], vector[2]} {}

#endif

constexpr inline bool QVector3D::isNull() const noexcept

{

    return qIsNull(v[0]) && qIsNull(v[1]) && qIsNull(v[2]);

}

constexpr inline float QVector3D::x() const noexcept { return v[0]; }

constexpr inline float QVector3D::y() const noexcept { return v[1]; }

constexpr inline float QVector3D::z() const noexcept { return v[2]; }

constexpr inline void QVector3D::setX(float aX) noexcept { v[0] = aX; }

constexpr inline void QVector3D::setY(float aY) noexcept { v[1] = aY; }

constexpr inline void QVector3D::setZ(float aZ) noexcept { v[2] = aZ; }

constexpr inline float &QVector3D::operator[](int i)

{

    Q_ASSERT(uint(i) < 3u);

    return v[i];

}

constexpr inline float QVector3D::operator[](int i) const

{

    Q_ASSERT(uint(i) < 3u);

    return v[i];

}

inline float QVector3D::length() const noexcept

{

    return qHypot(v[0], v[1], v[2]);

}

inline QVector3D QVector3D::normalized() const noexcept

{

    const float len = length();

    return qFuzzyIsNull(len - 1.0f) ? *this : qFuzzyIsNull(len) ? QVector3D()

        : QVector3D(v[0] / len, v[1] / len, v[2] / len);

}

inline void QVector3D::normalize() noexcept

{

    const float len = length();

    if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))

        return;

    v[0] /= len;

    v[1] /= len;

    v[2] /= len;

}

constexpr inline float QVector3D::lengthSquared() const noexcept

{

    return v[0] * v[0] + v[1] * v[1] + v[2] * v[2];

}

constexpr inline QVector3D &QVector3D::operator+=(QVector3D vector) noexcept

{

    v[0] += vector.v[0];

    v[1] += vector.v[1];

    v[2] += vector.v[2];

    return *this;

}

constexpr inline QVector3D &QVector3D::operator-=(QVector3D vector) noexcept

{

    v[0] -= vector.v[0];

    v[1] -= vector.v[1];

    v[2] -= vector.v[2];

    return *this;

}

constexpr inline QVector3D &QVector3D::operator*=(float factor) noexcept

{

    v[0] *= factor;

    v[1] *= factor;

    v[2] *= factor;

    return *this;

}

constexpr inline QVector3D &QVector3D::operator*=(QVector3D vector) noexcept

{

    v[0] *= vector.v[0];

    v[1] *= vector.v[1];

    v[2] *= vector.v[2];

    return *this;

}

constexpr inline QVector3D &QVector3D::operator/=(float divisor)

{

    Q_ASSERT(divisor < 0 || divisor > 0);

    v[0] /= divisor;

    v[1] /= divisor;

    v[2] /= divisor;

    return *this;

}

constexpr inline QVector3D &QVector3D::operator/=(QVector3D vector)

{

    Q_ASSERT(vector.v[0] > 0 || vector.v[0] < 0);

    Q_ASSERT(vector.v[1] > 0 || vector.v[1] < 0);

    Q_ASSERT(vector.v[2] > 0 || vector.v[2] < 0);

    v[0] /= vector.v[0];

    v[1] /= vector.v[1];

    v[2] /= vector.v[2];

    return *this;

}

constexpr inline float QVector3D::dotProduct(QVector3D v1, QVector3D v2) noexcept

{

    return v1.v[0] * v2.v[0] + v1.v[1] * v2.v[1] + v1.v[2] * v2.v[2];

}

constexpr inline QVector3D QVector3D::crossProduct(QVector3D v1, QVector3D v2) noexcept

{

    return QVector3D(v1.v[1] * v2.v[2] - v1.v[2] * v2.v[1],

                     v1.v[2] * v2.v[0] - v1.v[0] * v2.v[2],

                     v1.v[0] * v2.v[1] - v1.v[1] * v2.v[0]);

}

inline QVector3D QVector3D::normal(QVector3D v1, QVector3D v2) noexcept

{

    return crossProduct(v1, v2).normalized();

}

inline QVector3D QVector3D::normal(QVector3D v1, QVector3D v2, QVector3D v3) noexcept

{

    return crossProduct((v2 - v1), (v3 - v1)).normalized();

}

inline float QVector3D::distanceToPoint(QVector3D point) const noexcept

{

    return (*this - point).length();

}

constexpr inline float QVector3D::distanceToPlane(QVector3D plane, QVector3D normal) const noexcept

{

    return dotProduct(*this - plane, normal);

}

inline float QVector3D::distanceToPlane(QVector3D plane1, QVector3D plane2, QVector3D plane3) const noexcept

{

    QVector3D n = normal(plane2 - plane1, plane3 - plane1);

    return dotProduct(*this - plane1, n);

}

inline float QVector3D::distanceToLine(QVector3D point, QVector3D direction) const noexcept

{

    if (direction.isNull())

        return (*this - point).length();

    QVector3D p = point + dotProduct(*this - point, direction) * direction;

    return (*this - p).length();

}

#ifndef QT_NO_VECTOR2D

constexpr inline QVector2D QVector3D::toVector2D() const noexcept

{

    return QVector2D(v[0], v[1]);

}

#endif

#ifndef QT_NO_VECTOR4D

constexpr inline QVector4D QVector3D::toVector4D() const noexcept

{

    return QVector4D(v[0], v[1], v[2], 0.0f);

}

#endif

constexpr inline QPoint QVector3D::toPoint() const noexcept

{

    return QPoint(qRound(v[0]), qRound(v[1]));

}

constexpr inline QPointF QVector3D::toPointF() const noexcept

{

    return QPointF(qreal(v[0]), qreal(v[1]));

}

#ifndef QT_NO_DEBUG_STREAM

Q_GUI_EXPORT QDebug operator<<(QDebug dbg, QVector3D vector);

#endif

#ifndef QT_NO_DATASTREAM

Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, QVector3D );

Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QVector3D &);

#endif

#endif // QT_NO_VECTOR3D

/***************************** QVector4D *****************************/

#ifndef QT_NO_VECTOR4D

constexpr inline QVector4D::QVector4D() noexcept : v{0.0f, 0.0f, 0.0f, 0.0f} {}

constexpr inline QVector4D::QVector4D(float xpos, float ypos, float zpos, float wpos) noexcept : v{xpos, ypos, zpos, wpos} {}

constexpr inline QVector4D::QVector4D(QPoint point) noexcept : v{float(point.x()), float(point.y()), 0.0f, 0.0f} {}

constexpr inline QVector4D::QVector4D(QPointF point) noexcept : v{float(point.x()), float(point.y()), 0.0f, 0.0f} {}

#ifndef QT_NO_VECTOR2D

constexpr QVector4D::QVector4D(QVector2D vector) noexcept : v{vector[0], vector[1], 0.0f, 0.0f} {}

constexpr QVector4D::QVector4D(QVector2D vector, float zpos, float wpos) noexcept : v{vector[0], vector[1], zpos, wpos} {}

#endif

#ifndef QT_NO_VECTOR3D

constexpr QVector4D::QVector4D(QVector3D vector) noexcept : v{vector[0], vector[1], vector[2], 0.0f} {}

constexpr QVector4D::QVector4D(QVector3D vector, float wpos) noexcept : v{vector[0], vector[1], vector[2], wpos} {}

#endif

constexpr inline bool QVector4D::isNull() const noexcept

{

    return qIsNull(v[0]) && qIsNull(v[1]) && qIsNull(v[2]) && qIsNull(v[3]);

}

constexpr inline float QVector4D::x() const noexcept { return v[0]; }

constexpr inline float QVector4D::y() const noexcept { return v[1]; }

constexpr inline float QVector4D::z() const noexcept { return v[2]; }

constexpr inline float QVector4D::w() const noexcept { return v[3]; }

constexpr inline void QVector4D::setX(float aX) noexcept { v[0] = aX; }

constexpr inline void QVector4D::setY(float aY) noexcept { v[1] = aY; }

constexpr inline void QVector4D::setZ(float aZ) noexcept { v[2] = aZ; }

constexpr inline void QVector4D::setW(float aW) noexcept { v[3] = aW; }

constexpr inline float &QVector4D::operator[](int i)

{

    Q_ASSERT(uint(i) < 4u);

    return v[i];

}

constexpr inline float QVector4D::operator[](int i) const

{

    Q_ASSERT(uint(i) < 4u);

    return v[i];

}

inline float QVector4D::length() const noexcept

{

    return qHypot(v[0], v[1], v[2], v[3]);

}

constexpr inline float QVector4D::lengthSquared() const noexcept

{

    return v[0] * v[0] + v[1] * v[1] + v[2] * v[2] + v[3] * v[3];

}

inline QVector4D QVector4D::normalized() const noexcept

{

    const float len = length();

    return qFuzzyIsNull(len - 1.0f) ? *this : qFuzzyIsNull(len) ? QVector4D()

        : QVector4D(v[0] / len, v[1] / len, v[2] / len, v[3] / len);

}

inline void QVector4D::normalize() noexcept

{

    const float len = length();

    if (qFuzzyIsNull(len - 1.0f) || qFuzzyIsNull(len))

        return;

    v[0] /= len;

    v[1] /= len;

    v[2] /= len;

    v[3] /= len;

}

constexpr inline QVector4D &QVector4D::operator+=(QVector4D vector) noexcept

{

    v[0] += vector.v[0];

    v[1] += vector.v[1];

    v[2] += vector.v[2];

    v[3] += vector.v[3];

    return *this;

}

constexpr inline QVector4D &QVector4D::operator-=(QVector4D vector) noexcept

{

    v[0] -= vector.v[0];

    v[1] -= vector.v[1];

    v[2] -= vector.v[2];

    v[3] -= vector.v[3];

    return *this;

}

constexpr inline QVector4D &QVector4D::operator*=(float factor) noexcept

{

    v[0] *= factor;

    v[1] *= factor;

    v[2] *= factor;

    v[3] *= factor;

    return *this;

}

constexpr inline QVector4D &QVector4D::operator*=(QVector4D vector) noexcept

{

    v[0] *= vector.v[0];

    v[1] *= vector.v[1];

    v[2] *= vector.v[2];

    v[3] *= vector.v[3];

    return *this;

}

constexpr inline QVector4D &QVector4D::operator/=(float divisor)

{

    Q_ASSERT(divisor < 0 || divisor > 0);

    v[0] /= divisor;

    v[1] /= divisor;

    v[2] /= divisor;

    v[3] /= divisor;

    return *this;

}

constexpr inline QVector4D &QVector4D::operator/=(QVector4D vector)

{

    Q_ASSERT(vector.v[0] > 0 || vector.v[0] < 0);

    Q_ASSERT(vector.v[1] > 0 || vector.v[1] < 0);

    Q_ASSERT(vector.v[2] > 0 || vector.v[2] < 0);

    Q_ASSERT(vector.v[3] > 0 || vector.v[3] < 0);

    v[0] /= vector.v[0];

    v[1] /= vector.v[1];

    v[2] /= vector.v[2];

    v[3] /= vector.v[3];

    return *this;

}

constexpr float QVector4D::dotProduct(QVector4D v1, QVector4D v2) noexcept

{

    return v1.v[0] * v2.v[0] + v1.v[1] * v2.v[1] + v1.v[2] * v2.v[2] + v1.v[3] * v2.v[3];

}

#ifndef QT_NO_VECTOR2D

constexpr inline QVector2D QVector4D::toVector2D() const noexcept

{

    return QVector2D(v[0], v[1]);

}

constexpr inline QVector2D QVector4D::toVector2DAffine() const noexcept

{

    if (qIsNull(v[3]))

        return QVector2D();