ACE3/extensions/common/glm/gtc/quaternion.hpp

///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
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/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
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///        By making use of the Software for military purposes, you choose to make
///        a Bunny unhappy.
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtc_quaternion
/// @file glm/gtc/quaternion.hpp
/// @date 2009-05-21 / 2012-12-20
/// @author Christophe Riccio
///
/// @see core (dependence)
/// @see gtc_half_float (dependence)
/// @see gtc_constants (dependence)
///
/// @defgroup gtc_quaternion GLM_GTC_quaternion
/// @ingroup gtc
/// 
/// @brief Defines a templated quaternion type and several quaternion operations.
/// 
/// <glm/gtc/quaternion.hpp> need to be included to use these functionalities.
///////////////////////////////////////////////////////////////////////////////////

#pragma once

// Dependency:
#include "../mat3x3.hpp"
#include "../mat4x4.hpp"
#include "../vec3.hpp"
#include "../vec4.hpp"
#include "../gtc/constants.hpp"

#if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
#    pragma message("GLM: GLM_GTC_quaternion extension included")
#endif

namespace glm
{
    /// @addtogroup gtc_quaternion
    /// @{

    template <typename T, precision P>
    struct tquat
    {
        typedef tquat<T, P> type;
        typedef T value_type;

    public:
        T x, y, z, w;

        //////////////////////////////////////
        // Component accesses

#        ifdef GLM_FORCE_SIZE_FUNC
            typedef size_t size_type;
            /// Return the count of components of a quaternion
            GLM_FUNC_DECL GLM_CONSTEXPR size_type size() const;

            GLM_FUNC_DECL T & operator[](size_type i);
            GLM_FUNC_DECL T const & operator[](size_type i) const;
#        else
            typedef length_t length_type;
            /// Return the count of components of a quaternion
            GLM_FUNC_DECL GLM_CONSTEXPR length_type length() const;

            GLM_FUNC_DECL T & operator[](length_type i);
            GLM_FUNC_DECL T const & operator[](length_type i) const;
#        endif//GLM_FORCE_SIZE_FUNC

        //////////////////////////////////////
        // Implicit basic constructors

        GLM_FUNC_DECL tquat();
        GLM_FUNC_DECL tquat(tquat<T, P> const & q);
        template <precision Q>
        GLM_FUNC_DECL tquat(tquat<T, Q> const & q);

        //////////////////////////////////////
        // Explicit basic constructors

        GLM_FUNC_DECL explicit tquat(ctor);
        GLM_FUNC_DECL explicit tquat(T const & s, tvec3<T, P> const & v);
        GLM_FUNC_DECL tquat(T const & w, T const & x, T const & y, T const & z);

        //////////////////////////////////////
        // Convertions

#        ifdef GLM_FORCE_EXPLICIT_CTOR
            template <typename U, precision Q>
            GLM_FUNC_DECL explicit tquat(tquat<U, Q> const & q);
#        else
            template <typename U, precision Q>
            GLM_FUNC_DECL tquat(tquat<U, Q> const & q);
#        endif
        
        // explicit conversion operators
#        if GLM_HAS_EXPLICIT_CONVERSION_OPERATORS
            GLM_FUNC_DECL explicit operator tmat3x3<T, P>();
            GLM_FUNC_DECL explicit operator tmat4x4<T, P>();
#        endif
        
        /// Create a quaternion from two normalized axis
        /// 
        /// @param u A first normalized axis
        /// @param v A second normalized axis
        /// @see gtc_quaternion
        /// @see http://lolengine.net/blog/2013/09/18/beautiful-maths-quaternion-from-vectors
        GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & u,    tvec3<T, P> const & v);

        /// Build a quaternion from euler angles (pitch, yaw, roll), in radians.
        GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & eulerAngles);
        GLM_FUNC_DECL explicit tquat(tmat3x3<T, P> const & m);
        GLM_FUNC_DECL explicit tquat(tmat4x4<T, P> const & m);

        //////////////////////////////////////
        // Operators

        GLM_FUNC_DECL tquat<T, P> & operator=(tquat<T, P> const & m);

        template <typename U>
        GLM_FUNC_DECL tquat<T, P> & operator=(tquat<U, P> const & m);
        template <typename U>
        GLM_FUNC_DECL tquat<T, P> & operator+=(tquat<U, P> const & q);
        template <typename U>
        GLM_FUNC_DECL tquat<T, P> & operator*=(tquat<U, P> const & q);
        template <typename U>
        GLM_FUNC_DECL tquat<T, P> & operator*=(U s);
        template <typename U>
        GLM_FUNC_DECL tquat<T, P> & operator/=(U s);
    };

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator-(tquat<T, P> const & q);

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator+(tquat<T, P> const & q, tquat<T, P> const & p);

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> const & q, tquat<T, P> const & p);

    template <typename T, precision P>
    GLM_FUNC_DECL tvec3<T, P> operator*(tquat<T, P> const & q, tvec3<T, P> const & v);

    template <typename T, precision P>
    GLM_FUNC_DECL tvec3<T, P> operator*(tvec3<T, P> const & v, tquat<T, P> const & q);

    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<T, P> operator*(tquat<T, P> const & q, tvec4<T, P> const & v);

    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<T, P> operator*(tvec4<T, P> const & v, tquat<T, P> const & q);

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> const & q, T const & s);

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator*(T const & s, tquat<T, P> const & q);

    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> operator/(tquat<T, P> const & q, T const & s);

    /// Returns the length of the quaternion.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL T length(tquat<T, P> const & q);

    /// Returns the normalized quaternion.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> normalize(tquat<T, P> const & q);
        
    /// Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P, template <typename, precision> class quatType>
    GLM_FUNC_DECL T dot(quatType<T, P> const & x, quatType<T, P> const & y);

    /// Spherical linear interpolation of two quaternions.
    /// The interpolation is oriented and the rotation is performed at constant speed.
    /// For short path spherical linear interpolation, use the slerp function.
    /// 
    /// @param x A quaternion
    /// @param y A quaternion
    /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
    /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
    /// @see gtc_quaternion
    /// @see - slerp(tquat<T, P> const & x, tquat<T, P> const & y, T const & a)
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> mix(tquat<T, P> const & x, tquat<T, P> const & y, T a);

    /// Linear interpolation of two quaternions.
    /// The interpolation is oriented.
    /// 
    /// @param x A quaternion
    /// @param y A quaternion
    /// @param a Interpolation factor. The interpolation is defined in the range [0, 1].
    /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> lerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);

    /// Spherical linear interpolation of two quaternions.
    /// The interpolation always take the short path and the rotation is performed at constant speed.
    /// 
    /// @param x A quaternion
    /// @param y A quaternion
    /// @param a Interpolation factor. The interpolation is defined beyond the range [0, 1].
    /// @tparam T Value type used to build the quaternion. Supported: half, float or double.
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> slerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);

    /// Returns the q conjugate.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> conjugate(tquat<T, P> const & q);

    /// Returns the q inverse.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> inverse(tquat<T, P> const & q);

    /// Rotates a quaternion from a vector of 3 components axis and an angle.
    /// 
    /// @param q Source orientation
    /// @param angle Angle expressed in radians.
    /// @param axis Axis of the rotation
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> rotate(tquat<T, P> const & q, T const & angle, tvec3<T, P> const & axis);

    /// Returns euler angles, yitch as x, yaw as y, roll as z.
    /// The result is expressed in radians if GLM_FORCE_RADIANS is defined or degrees otherwise.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec3<T, P> eulerAngles(tquat<T, P> const & x);

    /// Returns roll value of euler angles expressed in radians.
    ///
    /// @see gtx_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL T roll(tquat<T, P> const & x);

    /// Returns pitch value of euler angles expressed in radians.
    ///
    /// @see gtx_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL T pitch(tquat<T, P> const & x);

    /// Returns yaw value of euler angles expressed in radians.
    ///
    /// @see gtx_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL T yaw(tquat<T, P> const & x);

    /// Converts a quaternion to a 3 * 3 matrix.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tmat3x3<T, P> mat3_cast(tquat<T, P> const & x);

    /// Converts a quaternion to a 4 * 4 matrix.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tmat4x4<T, P> mat4_cast(tquat<T, P> const & x);

    /// Converts a 3 * 3 matrix to a quaternion.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> quat_cast(tmat3x3<T, P> const & x);

    /// Converts a 4 * 4 matrix to a quaternion.
    /// 
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> quat_cast(tmat4x4<T, P> const & x);

    /// Returns the quaternion rotation angle.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL T angle(tquat<T, P> const & x);

    /// Returns the q rotation axis.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec3<T, P> axis(tquat<T, P> const & x);

    /// Build a quaternion from an angle and a normalized axis.
    ///
    /// @param angle Angle expressed in radians.
    /// @param axis Axis of the quaternion, must be normalized.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tquat<T, P> angleAxis(T const & angle, tvec3<T, P> const & axis);

    /// Returns the component-wise comparison result of x < y.
    /// 
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> lessThan(tquat<T, P> const & x, tquat<T, P> const & y);

    /// Returns the component-wise comparison of result x <= y.
    ///
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> lessThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);

    /// Returns the component-wise comparison of result x > y.
    ///
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> greaterThan(tquat<T, P> const & x, tquat<T, P> const & y);

    /// Returns the component-wise comparison of result x >= y.
    ///
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> greaterThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);

    /// Returns the component-wise comparison of result x == y.
    ///
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> equal(tquat<T, P> const & x, tquat<T, P> const & y);

    /// Returns the component-wise comparison of result x != y.
    /// 
    /// @tparam quatType Floating-point quaternion types.
    ///
    /// @see gtc_quaternion
    template <typename T, precision P>
    GLM_FUNC_DECL tvec4<bool, P> notEqual(tquat<T, P> const & x, tquat<T, P> const & y);
    /// @}
} //namespace glm

#include "quaternion.inl"