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vec3h.h
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1//
2// Copyright 2016 Pixar
3//
4// Licensed under the terms set forth in the LICENSE.txt file available at
5// https://openusd.org/license.
6//
8// This file is generated by a script. Do not edit directly. Edit the
9// vec.template.h file to make changes.
10
11#ifndef PXR_BASE_GF_VEC3H_H
12#define PXR_BASE_GF_VEC3H_H
13
16
17#include "pxr/pxr.h"
19#include "pxr/base/gf/api.h"
20#include "pxr/base/gf/limits.h"
21#include "pxr/base/gf/traits.h"
22#include "pxr/base/gf/math.h"
23#include "pxr/base/gf/half.h"
24#include "pxr/base/tf/hash.h"
25
26#include <cstddef>
27#include <cmath>
28
29#include <iosfwd>
30
31PXR_NAMESPACE_OPEN_SCOPE
32
33class GfVec3h;
34
35template <>
36struct GfIsGfVec<class GfVec3h> { static const bool value = true; };
37
47{
48public:
51 static const size_t dimension = 3;
52
55 GfVec3h() = default;
56
58 constexpr explicit GfVec3h(GfHalf value)
59 : _data{ value, value, value }
60 {
61 }
62
64 constexpr GfVec3h(GfHalf s0, GfHalf s1, GfHalf s2)
65 : _data{ s0, s1, s2 }
66 {
67 }
68
70 template <class Scl>
71 constexpr explicit GfVec3h(Scl const *p)
72 : _data{ p[0], p[1], p[2] }
73 {
74 }
75
77 explicit GfVec3h(class GfVec3d const &other);
78
80 explicit GfVec3h(class GfVec3f const &other);
81
83 GfVec3h(class GfVec3i const &other);
84
86 static GfVec3h XAxis() {
87 GfVec3h result(0);
88 result[0] = 1;
89 return result;
90 }
92 static GfVec3h YAxis() {
93 GfVec3h result(0);
94 result[1] = 1;
95 return result;
96 }
98 static GfVec3h ZAxis() {
99 GfVec3h result(0);
100 result[2] = 1;
101 return result;
102 }
103
106 static GfVec3h Axis(size_t i) {
107 GfVec3h result(0);
108 if (i < 3)
109 result[i] = 1;
110 return result;
111 }
112
115 _data[0] = s0;
116 _data[1] = s1;
117 _data[2] = s2;
118 return *this;
119 }
120
122 GfVec3h &Set(GfHalf const *a) {
123 return Set(a[0], a[1], a[2]);
124 }
125
127 GfHalf const *data() const { return _data; }
128 GfHalf *data() { return _data; }
129 GfHalf const *GetArray() const { return data(); }
130
132 GfHalf const &operator[](size_t i) const { return _data[i]; }
133 GfHalf &operator[](size_t i) { return _data[i]; }
134
136 friend inline size_t hash_value(GfVec3h const &vec) {
137 return TfHash::Combine(vec[0], vec[1], vec[2]);
138 }
139
141 bool operator==(GfVec3h const &other) const {
142 return _data[0] == other[0] &&
143 _data[1] == other[1] &&
144 _data[2] == other[2];
145 }
146 bool operator!=(GfVec3h const &other) const {
147 return !(*this == other);
148 }
149
150 // TODO Add inequality for other vec types...
152 GF_API
153 bool operator==(class GfVec3d const &other) const;
155 GF_API
156 bool operator==(class GfVec3f const &other) const;
158 GF_API
159 bool operator==(class GfVec3i const &other) const;
160
163 return GfVec3h(-_data[0], -_data[1], -_data[2]);
164 }
165
167 GfVec3h &operator+=(GfVec3h const &other) {
168 _data[0] += other[0];
169 _data[1] += other[1];
170 _data[2] += other[2];
171 return *this;
172 }
173 friend GfVec3h operator+(GfVec3h const &l, GfVec3h const &r) {
174 return GfVec3h(l) += r;
175 }
176
178 GfVec3h &operator-=(GfVec3h const &other) {
179 _data[0] -= other[0];
180 _data[1] -= other[1];
181 _data[2] -= other[2];
182 return *this;
183 }
184 friend GfVec3h operator-(GfVec3h const &l, GfVec3h const &r) {
185 return GfVec3h(l) -= r;
186 }
187
189 GfVec3h &operator*=(double s) {
190 _data[0] *= s;
191 _data[1] *= s;
192 _data[2] *= s;
193 return *this;
194 }
195 GfVec3h operator*(double s) const {
196 return GfVec3h(*this) *= s;
197 }
198 friend GfVec3h operator*(double s, GfVec3h const &v) {
199 return v * s;
200 }
201
203 // TODO should divide by the scalar type.
204 GfVec3h &operator/=(double s) {
205 // TODO This should not multiply by 1/s, it should do the division.
206 // Doing the division is more numerically stable when s is close to
207 // zero.
208 return *this *= (1.0 / s);
209 }
210 GfVec3h operator/(double s) const {
211 return *this * (1.0 / s);
212 }
213
215 GfHalf operator*(GfVec3h const &v) const {
216 return _data[0] * v[0] + _data[1] * v[1] + _data[2] * v[2];
217 }
218
223 GfVec3h GetProjection(GfVec3h const &v) const {
224 return v * (*this * v);
225 }
226
232 GfVec3h GetComplement(GfVec3h const &b) const {
233 return *this - this->GetProjection(b);
234 }
235
238 return *this * *this;
239 }
240
243 return GfSqrt(GetLengthSq());
244 }
245
254 GfHalf Normalize(GfHalf eps = 0.001) {
255 // TODO this seems suspect... suggest dividing by length so long as
256 // length is not zero.
257 GfHalf length = GetLength();
258 *this /= (length > eps) ? length : eps;
259 return length;
260 }
261
262 GfVec3h GetNormalized(GfHalf eps = 0.001) const {
263 GfVec3h normalized(*this);
264 normalized.Normalize(eps);
265 return normalized;
266 }
267
277 GF_API
279 GfVec3h *tx, GfVec3h *ty, GfVec3h *tz,
280 const bool normalize,
281 double eps = GF_MIN_ORTHO_TOLERANCE);
282
287 GF_API
289 GfHalf eps = 0.001) const;
290
291
292private:
293 GfHalf _data[3];
294};
295
298GF_API std::ostream& operator<<(std::ostream &, GfVec3h const &);
299
300
301PXR_NAMESPACE_CLOSE_SCOPE
302
303#include "pxr/base/gf/vec3d.h"
304#include "pxr/base/gf/vec3f.h"
305#include "pxr/base/gf/vec3i.h"
306
307PXR_NAMESPACE_OPEN_SCOPE
308
309inline
310GfVec3h::GfVec3h(class GfVec3d const &other)
311{
312 _data[0] = other[0];
313 _data[1] = other[1];
314 _data[2] = other[2];
315}
316inline
317GfVec3h::GfVec3h(class GfVec3f const &other)
318{
319 _data[0] = other[0];
320 _data[1] = other[1];
321 _data[2] = other[2];
322}
323inline
324GfVec3h::GfVec3h(class GfVec3i const &other)
325{
326 _data[0] = other[0];
327 _data[1] = other[1];
328 _data[2] = other[2];
329}
330
332inline GfVec3h
333GfCompMult(GfVec3h const &v1, GfVec3h const &v2) {
334 return GfVec3h(
335 v1[0] * v2[0],
336 v1[1] * v2[1],
337 v1[2] * v2[2]
338 );
339}
340
342inline GfVec3h
343GfCompDiv(GfVec3h const &v1, GfVec3h const &v2) {
344 return GfVec3h(
345 v1[0] / v2[0],
346 v1[1] / v2[1],
347 v1[2] / v2[2]
348 );
349}
350
352inline GfHalf
353GfDot(GfVec3h const &v1, GfVec3h const &v2) {
354 return v1 * v2;
355}
356
357
359inline GfHalf
361{
362 return v.GetLength();
363}
364
368inline GfHalf
369GfNormalize(GfVec3h *v, GfHalf eps = 0.001)
370{
371 return v->Normalize(eps);
372}
373
377inline GfVec3h
378GfGetNormalized(GfVec3h const &v, GfHalf eps = 0.001)
379{
380 return v.GetNormalized(eps);
381}
382
387inline GfVec3h
388GfGetProjection(GfVec3h const &a, GfVec3h const &b)
389{
390 return a.GetProjection(b);
391}
392
397inline GfVec3h
398GfGetComplement(GfVec3h const &a, GfVec3h const &b)
399{
400 return a.GetComplement(b);
401}
402
405inline bool
406GfIsClose(GfVec3h const &v1, GfVec3h const &v2, double tolerance)
407{
408 GfVec3h delta = v1 - v2;
409 return delta.GetLengthSq() <= tolerance * tolerance;
410}
411
412
413GF_API bool
414GfOrthogonalizeBasis(GfVec3h *tx, GfVec3h *ty, GfVec3h *tz,
415 bool normalize, double eps = GF_MIN_ORTHO_TOLERANCE);
416
417GF_API void
418GfBuildOrthonormalFrame(GfVec3h const &v0,
419 GfVec3h* v1,
420 GfVec3h* v2,
421 GfHalf eps = 0.001);
422
424inline GfVec3h
425GfCross(GfVec3h const &v1, GfVec3h const &v2)
426{
427 return GfVec3h(
428 v1[1] * v2[2] - v1[2] * v2[1],
429 v1[2] * v2[0] - v1[0] * v2[2],
430 v1[0] * v2[1] - v1[1] * v2[0]);
431}
432
435inline GfVec3h
436operator^(GfVec3h const &v1, GfVec3h const &v2)
437{
438 return GfCross(v1, v2);
439}
440
442GF_API GfVec3h
443GfSlerp(double alpha, GfVec3h const &v0, GfVec3h const &v1);
444
445
446
447PXR_NAMESPACE_CLOSE_SCOPE
448
449#endif // PXR_BASE_GF_VEC3H_H
Low-level utilities for informing users of various internal and external diagnostic conditions.
Basic type for a vector of 3 double components.
Definition: vec3d.h:46
Basic type for a vector of 3 float components.
Definition: vec3f.h:46
Basic type for a vector of 3 GfHalf components.
Definition: vec3h.h:47
GfVec3h & operator/=(double s)
Division by scalar.
Definition: vec3h.h:204
GfHalf operator*(GfVec3h const &v) const
See GfDot().
Definition: vec3h.h:215
GfVec3h & operator-=(GfVec3h const &other)
Subtraction.
Definition: vec3h.h:178
GfVec3h operator-() const
Create a vec with negated elements.
Definition: vec3h.h:162
GfVec3h & operator*=(double s)
Multiplication by scalar.
Definition: vec3h.h:189
GF_API bool operator==(class GfVec3d const &other) const
Equality comparison.
GfVec3h & operator+=(GfVec3h const &other)
Addition.
Definition: vec3h.h:167
GF_API void BuildOrthonormalFrame(GfVec3h *v1, GfVec3h *v2, GfHalf eps=0.001) const
Sets v1 and v2 to unit vectors such that v1, v2 and *this are mutually orthogonal.
GfHalf GetLength() const
Length.
Definition: vec3h.h:242
GF_API bool operator==(class GfVec3f const &other) const
Equality comparison.
GfHalf ScalarType
Scalar element type and dimension.
Definition: vec3h.h:50
static GF_API bool OrthogonalizeBasis(GfVec3h *tx, GfVec3h *ty, GfVec3h *tz, const bool normalize, double eps=GF_MIN_ORTHO_TOLERANCE)
Orthogonalize and optionally normalize a set of basis vectors.
GfVec3h & Set(GfHalf const *a)
Set all elements with a pointer to data.
Definition: vec3h.h:122
GfVec3h GetComplement(GfVec3h const &b) const
Returns the orthogonal complement of this->GetProjection(b).
Definition: vec3h.h:232
constexpr GfVec3h(GfHalf value)
Initialize all elements to a single value.
Definition: vec3h.h:58
friend size_t hash_value(GfVec3h const &vec)
Hash.
Definition: vec3h.h:136
GfHalf Normalize(GfHalf eps=0.001)
Normalizes the vector in place to unit length, returning the length before normalization.
Definition: vec3h.h:254
constexpr GfVec3h(Scl const *p)
Construct with pointer to values.
Definition: vec3h.h:71
bool operator==(GfVec3h const &other) const
Equality comparison.
Definition: vec3h.h:141
GfHalf GetLengthSq() const
Squared length.
Definition: vec3h.h:237
static GfVec3h XAxis()
Create a unit vector along the X-axis.
Definition: vec3h.h:86
GfVec3h()=default
GfVec3h value-initializes to zero and performs no default initialization, like float or double.
static GfVec3h ZAxis()
Create a unit vector along the Z-axis.
Definition: vec3h.h:98
GfVec3h & Set(GfHalf s0, GfHalf s1, GfHalf s2)
Set all elements with passed arguments.
Definition: vec3h.h:114
GfHalf const & operator[](size_t i) const
Indexing.
Definition: vec3h.h:132
GfHalf const * data() const
Direct data access.
Definition: vec3h.h:127
static GfVec3h YAxis()
Create a unit vector along the Y-axis.
Definition: vec3h.h:92
GF_API bool operator==(class GfVec3i const &other) const
Equality comparison.
constexpr GfVec3h(GfHalf s0, GfHalf s1, GfHalf s2)
Initialize all elements with explicit arguments.
Definition: vec3h.h:64
static GfVec3h Axis(size_t i)
Create a unit vector along the i-th axis, zero-based.
Definition: vec3h.h:106
GfVec3h GetProjection(GfVec3h const &v) const
Returns the projection of this onto v.
Definition: vec3h.h:223
Basic type for a vector of 3 int components.
Definition: vec3i.h:44
static size_t Combine(Args &&... args)
Produce a hash code by combining the hash codes of several objects.
Definition: hash.h:487
Assorted mathematical utility functions.
double GfSqrt(double f)
Return sqrt(f).
Definition: math.h:187
GF_API std::ostream & operator<<(std::ostream &, const GfBBox3d &)
Output a GfBBox3d using the format [(range) matrix zeroArea].
#define GF_MIN_ORTHO_TOLERANCE
This constant is used to determine when a set of basis vectors is close to orthogonal.
Definition: limits.h:22
This header serves to simply bring in the half float datatype and provide a hash_value function.
pxr_half::half GfHalf
A 16-bit floating point data type.
Definition: half.h:26
Defines useful mathematical limits.
A metafunction with a static const bool member 'value' that is true for GfVec types,...
Definition: traits.h:19
GF_API GfVec3h GfSlerp(double alpha, GfVec3h const &v0, GfVec3h const &v1)
Spherical linear interpolation in three dimensions.
GfVec3h GfCompDiv(GfVec3h const &v1, GfVec3h const &v2)
Returns component-wise quotient of vectors v1 and v2.
Definition: vec3h.h:343
GfHalf GfGetLength(GfVec3h const &v)
Returns the geometric length of v.
Definition: vec3h.h:360
GfVec3h GfGetProjection(GfVec3h const &a, GfVec3h const &b)
Returns the projection of a onto b.
Definition: vec3h.h:388
GfVec3h GfGetNormalized(GfVec3h const &v, GfHalf eps=0.001)
Returns a normalized (unit-length) vector with the same direction as v.
Definition: vec3h.h:378
GfHalf GfDot(GfVec3h const &v1, GfVec3h const &v2)
Returns the dot (inner) product of two vectors.
Definition: vec3h.h:353
bool GfIsClose(GfVec3h const &v1, GfVec3h const &v2, double tolerance)
Tests for equality within a given tolerance, returning true if the length of the difference vector is...
Definition: vec3h.h:406
GfVec3h GfGetComplement(GfVec3h const &a, GfVec3h const &b)
Returns the orthogonal complement of a.GetProjection(b).
Definition: vec3h.h:398
GfVec3h operator^(GfVec3h const &v1, GfVec3h const &v2)
Returns the cross product of v1 and v2.
Definition: vec3h.h:436
GfVec3h GfCompMult(GfVec3h const &v1, GfVec3h const &v2)
Returns component-wise multiplication of vectors v1 and v2.
Definition: vec3h.h:333
GfVec3h GfCross(GfVec3h const &v1, GfVec3h const &v2)
Returns the cross product of v1 and v2.
Definition: vec3h.h:425
GfHalf GfNormalize(GfVec3h *v, GfHalf eps=0.001)
Normalizes *v in place to unit length, returning the length before normalization.
Definition: vec3h.h:369