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author | unknown <paulx161@umn.edu> | 2021-02-03 14:22:28 -0600 |
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committer | unknown <paulx161@umn.edu> | 2021-02-03 14:22:28 -0600 |
commit | 9b83919815f6a6ce5d73da1c28483970d0ca5589 (patch) | |
tree | 4558864445dccc1605e5315e0bb11c46d2018da1 /dev/MinGfx/src/quaternion.h | |
parent | Added worksheet and support code for assignment 2 (diff) | |
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added dev/MinGfx/
Diffstat (limited to '')
-rw-r--r-- | dev/MinGfx/src/quaternion.h | 142 |
1 files changed, 142 insertions, 0 deletions
diff --git a/dev/MinGfx/src/quaternion.h b/dev/MinGfx/src/quaternion.h new file mode 100644 index 0000000..fc69ba7 --- /dev/null +++ b/dev/MinGfx/src/quaternion.h @@ -0,0 +1,142 @@ +/* + This file is part of the MinGfx Project. + + Copyright (c) 2017,2018 Regents of the University of Minnesota. + All Rights Reserved. + + Original Author(s) of this File: + Dan Keefe, 2018, University of Minnesota + + Author(s) of Significant Updates/Modifications to the File: + ... + */ + +#ifndef SRC_QUATERNION_H_ +#define SRC_QUATERNION_H_ + +#include <iostream> + +#include "vector3.h" + +namespace mingfx { + +/** A quaternion to represent rotations in 3D space. The main use of quaternions + within the library is to support smooth interpolation between rotations, since + this is not possible using Euler angles or rotation matrices. The class includes + a Slerp routine for spherical interpolation between rotations. Example use: + ~~~ + // find a rotation 1/2 way between r1 and r2, both originally expressed in Euler angles + + Vector3 euler1 = GfxMath::ToRadians(Vector3(0,0,60)); + Vector3 euler2 = GfxMath::ToRadians(Vector3(45,45,60)); + + Quaternion q1 = Quaternion::FromEulerAnglesZYX(euler1); + Quaternion q2 = Quaternion::FromEulerAnglesZYX(euler2); + + float alpha = 0.5; + Quaternion q_half_way = q1.Slerp(q2, alpha); + Vector3 new_euler_angles = GfxMath::ToDegrees(q_half_way.ToEulerAnglesZYX()); + ~~~ + */ +class Quaternion { +public: + /// Creates a quat with the identity rotation + Quaternion(); + + /// Creates a quat from the 4 parameters + Quaternion(float qx, float qy, float qz, float qw); + + /// Creates a quate from a pointer to 4 floating point numbers in the order + /// qx, qy, qz, qw. + Quaternion(float *ptr); + + /// Copy constructor + Quaternion(const Quaternion& other); + + virtual ~Quaternion(); + + /// Check for "equality", taking floating point imprecision into account + bool operator==(const Quaternion& q) const; + + /// Check for "inequality", taking floating point imprecision into account + bool operator!=(const Quaternion& q) const; + + /// Assignment operator + Quaternion& operator=(const Quaternion& q); + + /// Read only access to the ith coordinate of the quaternion (qx, qy, qz, qw). + float operator[](const int i) const; + + /// Writable access the ith coordinate of the quaternion (qx, qy, qz, qw). + float& operator[](const int i); + + /// Read only access to the x coordinate of the imaginary part of the quaternion. + float x() const { return q[0]; } + + /// Read only access to the y coordinate of the imaginary part of the quaternion. + float y() const { return q[1]; } + + /// Read only access to the z coordinate of the imaginary part of the quaternion. + float z() const { return q[2]; } + + /// Read only access to the w, real part, of the quaternion. + float w() const { return q[3]; } + + /// Returns a const pointer to the raw data array, stored in the order qx, qy, qz, qw. + const float * value_ptr() const; + + /// Returns the dot product of this quaternion with another. + float Dot(const Quaternion& q) const; + + /// Returns the length of the quaternion. + float Length() const; + + /// Normalizes the quat by making it unit length. + void Normalize(); + + /// Returns a normalized (i.e., unit length) version of the quaternion without + /// modifying the original. + Quaternion ToUnit() const; + + /// Returns the conjugate of the quaternion. + Quaternion Conjugate() const; + + /// Converts the rotation specified by the quaternion into Euler angles. + Vector3 ToEulerAnglesZYX() const; + + /// Uses spherical interpolation to interpoloate between the rotation stored + /// in this quaternion and the rotation stored in another. + Quaternion Slerp(const Quaternion &other, float alpha) const; + + /// Creates a new quaternion that describes a rotation by angle radians about + // the specified axis. + static Quaternion FromAxisAngle(const Vector3 &axis, float angle); + + /// Creates a new quaternion from a rotation defined in Euler angles. + static Quaternion FromEulerAnglesZYX(const Vector3 &angles); + + /// Uses spherical interpolation to interpoloate between the rotations + /// specified by two quaternions. + static Quaternion Slerp(const Quaternion &a, const Quaternion &b, float alpha); + +private: + float q[4]; +}; + + +Quaternion operator*(const Quaternion& q1, const Quaternion& q2); +Quaternion operator/(const Quaternion& q, const float s); +Quaternion operator*(const float s, const Quaternion& q); +Quaternion operator*(const Quaternion& q, const float s); +Quaternion operator-(const Quaternion& q); +Quaternion operator+(const Quaternion& q1, const Quaternion& q2); +Quaternion operator-(const Quaternion& q1, const Quaternion& q2); + +std::ostream & operator<< ( std::ostream &os, const Quaternion &q); +std::istream & operator>> ( std::istream &is, Quaternion &q); + + +} // end namespace + + +#endif |