quath.h
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26 // quat.template.h file to make changes.
27 
28 #ifndef PXR_BASE_GF_QUATH_H
29 #define PXR_BASE_GF_QUATH_H
30 
33 
34 #include "pxr/pxr.h"
35 #include "pxr/base/gf/api.h"
36 #include "pxr/base/gf/declare.h"
37 #include "pxr/base/gf/vec3h.h"
38 #include "pxr/base/gf/traits.h"
39 #include "pxr/base/gf/half.h"
40 #include "pxr/base/tf/hash.h"
41 
42 #include <iosfwd>
43 
44 PXR_NAMESPACE_OPEN_SCOPE
45 
46 template <>
47 struct GfIsGfQuat<class GfQuath> { static const bool value = true; };
48 
49 
51 GfHalf GfDot(const GfQuath& q1, const GfQuath& q2);
52 
53 
60 class GfQuath
61 {
62  public:
63  typedef GfHalf ScalarType;
64  typedef GfVec3h ImaginaryType;
65 
67  GfQuath() {}
68 
76  explicit GfQuath (GfHalf realVal) : _imaginary(0), _real(realVal) {}
77 
80  : _imaginary(i, j, k), _real(real)
81  {
82  }
83 
85  GfQuath(GfHalf real, const GfVec3h &imaginary)
86  : _imaginary(imaginary), _real(real)
87  {
88  }
89 
91  GF_API
92  explicit GfQuath(class GfQuatd const &other);
94  GF_API
95  explicit GfQuath(class GfQuatf const &other);
96 
99  static GfQuath GetZero() { return GfQuath(0.0); }
100 
103  static GfQuath GetIdentity() { return GfQuath(1.0); }
104 
106  GfHalf GetReal() const { return _real; }
107 
109  void SetReal(GfHalf real) { _real = real; }
110 
112  const GfVec3h &GetImaginary() const { return _imaginary; }
113 
115  void SetImaginary(const GfVec3h &imaginary) {
116  _imaginary = imaginary;
117  }
118 
121  _imaginary.Set(i, j, k);
122  }
123 
125  GfHalf GetLength() const { return GfSqrt(_GetLengthSquared()); }
126 
129  GfQuath
131  GfQuath ret(*this);
132  ret.Normalize(eps);
133  return ret;
134  }
135 
139  GF_API
141 
145  return GfQuath(GetReal(), -GetImaginary());
146  }
147 
150  GfQuath GetInverse() const {
151  return GetConjugate() / _GetLengthSquared();
152  }
153 
161  GF_API
162  GfVec3h Transform(const GfVec3h& point) const;
163 
165  friend inline size_t hash_value(const GfQuath &q) {
166  return TfHash::Combine(q.GetReal(), q.GetImaginary());
167  }
168 
170  GfQuath operator-() const {
171  return GfQuath(-GetReal(), -GetImaginary());
172  }
173 
176  bool operator==(const GfQuath &q) const {
177  return (GetReal() == q.GetReal() &&
178  GetImaginary() == q.GetImaginary());
179  }
180 
183  bool operator!=(const GfQuath &q) const {
184  return !(*this == q);
185  }
186 
188  GF_API
189  GfQuath &operator *=(const GfQuath &q);
190 
193  _real *= s;
194  _imaginary *= s;
195  return *this;
196  }
197 
200  _real /= s;
201  _imaginary /= s;
202  return *this;
203  }
204 
207  _real += q._real;
208  _imaginary += q._imaginary;
209  return *this;
210  }
211 
214  _real -= q._real;
215  _imaginary -= q._imaginary;
216  return *this;
217  }
218 
220  friend GfQuath
221  operator +(const GfQuath &q1, const GfQuath &q2) {
222  return GfQuath(q1) += q2;
223  }
224 
226  friend GfQuath
227  operator -(const GfQuath &q1, const GfQuath &q2) {
228  return GfQuath(q1) -= q2;
229  }
230 
232  friend GfQuath
233  operator *(const GfQuath &q1, const GfQuath &q2) {
234  return GfQuath(q1) *= q2;
235  }
236 
238  friend GfQuath
239  operator *(const GfQuath &q, GfHalf s) {
240  return GfQuath(q) *= s;
241  }
242 
244  friend GfQuath
245  operator *(GfHalf s, const GfQuath &q) {
246  return GfQuath(q) *= s;
247  }
248 
250  friend GfQuath
251  operator /(const GfQuath &q, GfHalf s) {
252  return GfQuath(q) /= s;
253  }
254 
255  private:
257  GfVec3h _imaginary;
258 
260  GfHalf _real;
261 
263  GfHalf
264  _GetLengthSquared() const {
265  return GfDot(*this, *this);
266  }
267 };
268 
273 GF_API GfQuath
274 GfSlerp(double alpha, const GfQuath& q0, const GfQuath& q1);
275 
276 GF_API GfQuath
277 GfSlerp(const GfQuath& q0, const GfQuath& q1, double alpha);
278 
279 inline GfHalf
280 GfDot(GfQuath const &q1, GfQuath const &q2) {
281  return GfDot(q1.GetImaginary(), q2.GetImaginary()) +
282  q1.GetReal()*q2.GetReal();
283 }
284 
287 GF_API std::ostream& operator<<(std::ostream &, GfQuath const &);
288 
289 PXR_NAMESPACE_CLOSE_SCOPE
290 
291 #endif // PXR_BASE_GF_QUATH_H
Basic type: a quaternion, a complex number with a real coefficient and three imaginary coefficients,...
Definition: quath.h:60
GF_API GfHalf Normalize(GfHalf eps=GF_MIN_VECTOR_LENGTH)
Normalizes this quaternion in place to unit length, returning the length before normalization.
friend GfQuath operator+(const GfQuath &q1, const GfQuath &q2)
Component-wise binary sum operator.
Definition: quath.h:221
bool operator==(const GfQuath &q) const
Component-wise quaternion equality test.
Definition: quath.h:176
GfQuath & operator/=(GfHalf s)
Divide this quaternion's coefficients by s.
Definition: quath.h:199
pxr_half::half GfHalf
A 16-bit floating point data type.
Definition: half.h:41
void SetReal(GfHalf real)
Set the real coefficient.
Definition: quath.h:109
This header serves to simply bring in the half float datatype and provide a hash_value function.
void SetImaginary(GfHalf i, GfHalf j, GfHalf k)
Set the imaginary coefficients.
Definition: quath.h:120
GfQuath & operator *=(GfHalf s)
Multiply this quaternion's coefficients by s.
Definition: quath.h:192
Declares Gf types.
friend GfQuath operator *(const GfQuath &q, GfHalf s)
Returns the product of quaternion q and scalar s.
Definition: quath.h:239
Basic type: a quaternion, a complex number with a real coefficient and three imaginary coefficients,...
Definition: quatf.h:59
GF_API GfVec3h Transform(const GfVec3h &point) const
Transform the GfVec3h point.
GfQuath & operator+=(const GfQuath &q)
Add quaternion q to this quaternion.
Definition: quath.h:206
GfQuath(GfHalf real, GfHalf i, GfHalf j, GfHalf k)
Initialize the real and imaginary coefficients.
Definition: quath.h:79
GF_API std::ostream & operator<<(std::ostream &, GfQuath const &)
Output a GfQuatd using the format (re, i, j, k)
static GfQuath GetIdentity()
Return the identity quaternion, with real coefficient 1 and an imaginary coefficients all zero.
Definition: quath.h:103
GfQuath GetInverse() const
Return this quaternion's inverse, or reciprocal.
Definition: quath.h:150
GfQuath operator-() const
Component-wise negation.
Definition: quath.h:170
static size_t Combine(Args &&... args)
Produce a hash code by combining the hash codes of several objects.
Definition: hash.h:519
GfHalf GetReal() const
Return the real coefficient.
Definition: quath.h:106
GfQuath()
Default constructor leaves the quaternion undefined.
Definition: quath.h:67
GfQuath(GfHalf real, const GfVec3h &imaginary)
Initialize the real and imaginary coefficients.
Definition: quath.h:85
GfQuath(GfHalf realVal)
Initialize the real coefficient to realVal and the imaginary coefficients to zero.
Definition: quath.h:76
friend size_t hash_value(const GfQuath &q)
Hash.
Definition: quath.h:165
friend GfQuath operator/(const GfQuath &q, GfHalf s)
Returns the product of quaternion q and scalar 1 / s.
Definition: quath.h:251
static GfQuath GetZero()
Return the zero quaternion, with real coefficient 0 and an imaginary coefficients all zero.
Definition: quath.h:99
double GfSqrt(double f)
Return sqrt(f).
Definition: math.h:80
GfQuath GetConjugate() const
Return this quaternion's conjugate, which is the quaternion with the same real coefficient and negate...
Definition: quath.h:144
GfVec3h & Set(GfHalf s0, GfHalf s1, GfHalf s2)
Set all elements with passed arguments.
Definition: vec3h.h:130
GfHalf GetLength() const
Return geometric length of this quaternion.
Definition: quath.h:125
friend GfQuath operator *(GfHalf s, const GfQuath &q)
Returns the product of quaternion q and scalar s.
Definition: quath.h:245
friend GfQuath operator *(const GfQuath &q1, const GfQuath &q2)
Returns the product of quaternions q1 and q2.
Definition: quath.h:233
const GfVec3h & GetImaginary() const
Return the imaginary coefficient.
Definition: quath.h:112
GfQuath & operator -=(const GfQuath &q)
Component-wise unary difference operator.
Definition: quath.h:213
bool operator!=(const GfQuath &q) const
Component-wise quaternion inequality test.
Definition: quath.h:183
A metafunction with a static const bool member 'value' that is true for GfQuat types and false for al...
Definition: traits.h:47
GfQuath GetNormalized(GfHalf eps=GF_MIN_VECTOR_LENGTH) const
length of this quaternion is smaller than eps, return the identity quaternion.
Definition: quath.h:130
GF_API GfQuath & operator *=(const GfQuath &q)
Post-multiply quaternion q into this quaternion.
GfHalf GfDot(const GfQuath &q1, const GfQuath &q2)
Return the dot (inner) product of two quaternions.
Definition: quath.h:280
GF_API GfQuath GfSlerp(double alpha, const GfQuath &q0, const GfQuath &q1)
Spherically linearly interpolate between q0 and q1.
friend GfQuath operator -(const GfQuath &q1, const GfQuath &q2)
Component-wise binary difference operator.
Definition: quath.h:227
void SetImaginary(const GfVec3h &imaginary)
Set the imaginary coefficients.
Definition: quath.h:115
Basic type: a quaternion, a complex number with a real coefficient and three imaginary coefficients,...
Definition: quatd.h:59
Basic type for a vector of 3 GfHalf components.
Definition: vec3h.h:63
#define GF_MIN_VECTOR_LENGTH
This constant is used to determine whether the length of a vector is too small to handle accurately.
Definition: limits.h:34