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vec3h.h
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1//
2// Copyright 2016 Pixar
3//
4// Licensed under the Apache License, Version 2.0 (the "Apache License")
5// with the following modification; you may not use this file except in
6// compliance with the Apache License and the following modification to it:
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11// and its affiliates, except as required to comply with Section 4(c) of
12// the License and to reproduce the content of the NOTICE file.
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14// You may obtain a copy of the Apache License at
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18// Unless required by applicable law or agreed to in writing, software
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25// This file is generated by a script. Do not edit directly. Edit the
26// vec.template.h file to make changes.
27
28#ifndef PXR_BASE_GF_VEC3H_H
29#define PXR_BASE_GF_VEC3H_H
30
33
34#include "pxr/pxr.h"
36#include "pxr/base/gf/api.h"
37#include "pxr/base/gf/limits.h"
38#include "pxr/base/gf/traits.h"
39#include "pxr/base/gf/math.h"
40#include "pxr/base/gf/half.h"
41#include "pxr/base/tf/hash.h"
42
43#include <cstddef>
44#include <cmath>
45
46#include <iosfwd>
47
48PXR_NAMESPACE_OPEN_SCOPE
49
50class GfVec3h;
51
52template <>
53struct GfIsGfVec<class GfVec3h> { static const bool value = true; };
54
64{
65public:
68 static const size_t dimension = 3;
69
71 GfVec3h() = default;
72
74 constexpr explicit GfVec3h(GfHalf value)
75 : _data{ value, value, value }
76 {
77 }
78
80 constexpr GfVec3h(GfHalf s0, GfHalf s1, GfHalf s2)
81 : _data{ s0, s1, s2 }
82 {
83 }
84
86 template <class Scl>
87 constexpr explicit GfVec3h(Scl const *p)
88 : _data{ p[0], p[1], p[2] }
89 {
90 }
91
93 explicit GfVec3h(class GfVec3d const &other);
94
96 explicit GfVec3h(class GfVec3f const &other);
97
99 GfVec3h(class GfVec3i const &other);
100
102 static GfVec3h XAxis() {
103 GfVec3h result(0);
104 result[0] = 1;
105 return result;
106 }
108 static GfVec3h YAxis() {
109 GfVec3h result(0);
110 result[1] = 1;
111 return result;
112 }
114 static GfVec3h ZAxis() {
115 GfVec3h result(0);
116 result[2] = 1;
117 return result;
118 }
119
122 static GfVec3h Axis(size_t i) {
123 GfVec3h result(0);
124 if (i < 3)
125 result[i] = 1;
126 return result;
127 }
128
131 _data[0] = s0;
132 _data[1] = s1;
133 _data[2] = s2;
134 return *this;
135 }
136
138 GfVec3h &Set(GfHalf const *a) {
139 return Set(a[0], a[1], a[2]);
140 }
141
143 GfHalf const *data() const { return _data; }
144 GfHalf *data() { return _data; }
145 GfHalf const *GetArray() const { return data(); }
146
148 GfHalf const &operator[](size_t i) const { return _data[i]; }
149 GfHalf &operator[](size_t i) { return _data[i]; }
150
152 friend inline size_t hash_value(GfVec3h const &vec) {
153 return TfHash::Combine(vec[0], vec[1], vec[2]);
154 }
155
157 bool operator==(GfVec3h const &other) const {
158 return _data[0] == other[0] &&
159 _data[1] == other[1] &&
160 _data[2] == other[2];
161 }
162 bool operator!=(GfVec3h const &other) const {
163 return !(*this == other);
164 }
165
166 // TODO Add inequality for other vec types...
168 GF_API
169 bool operator==(class GfVec3d const &other) const;
171 GF_API
172 bool operator==(class GfVec3f const &other) const;
174 GF_API
175 bool operator==(class GfVec3i const &other) const;
176
179 return GfVec3h(-_data[0], -_data[1], -_data[2]);
180 }
181
183 GfVec3h &operator+=(GfVec3h const &other) {
184 _data[0] += other[0];
185 _data[1] += other[1];
186 _data[2] += other[2];
187 return *this;
188 }
189 friend GfVec3h operator+(GfVec3h const &l, GfVec3h const &r) {
190 return GfVec3h(l) += r;
191 }
192
194 GfVec3h &operator-=(GfVec3h const &other) {
195 _data[0] -= other[0];
196 _data[1] -= other[1];
197 _data[2] -= other[2];
198 return *this;
199 }
200 friend GfVec3h operator-(GfVec3h const &l, GfVec3h const &r) {
201 return GfVec3h(l) -= r;
202 }
203
205 GfVec3h &operator*=(double s) {
206 _data[0] *= s;
207 _data[1] *= s;
208 _data[2] *= s;
209 return *this;
210 }
211 GfVec3h operator*(double s) const {
212 return GfVec3h(*this) *= s;
213 }
214 friend GfVec3h operator*(double s, GfVec3h const &v) {
215 return v * s;
216 }
217
219 // TODO should divide by the scalar type.
220 GfVec3h &operator/=(double s) {
221 // TODO This should not multiply by 1/s, it should do the division.
222 // Doing the division is more numerically stable when s is close to
223 // zero.
224 return *this *= (1.0 / s);
225 }
226 GfVec3h operator/(double s) const {
227 return *this * (1.0 / s);
228 }
229
231 GfHalf operator*(GfVec3h const &v) const {
232 return _data[0] * v[0] + _data[1] * v[1] + _data[2] * v[2];
233 }
234
239 GfVec3h GetProjection(GfVec3h const &v) const {
240 return v * (*this * v);
241 }
242
248 GfVec3h GetComplement(GfVec3h const &b) const {
249 return *this - this->GetProjection(b);
250 }
251
254 return *this * *this;
255 }
256
259 return GfSqrt(GetLengthSq());
260 }
261
270 GfHalf Normalize(GfHalf eps = 0.001) {
271 // TODO this seems suspect... suggest dividing by length so long as
272 // length is not zero.
273 GfHalf length = GetLength();
274 *this /= (length > eps) ? length : eps;
275 return length;
276 }
277
278 GfVec3h GetNormalized(GfHalf eps = 0.001) const {
279 GfVec3h normalized(*this);
280 normalized.Normalize(eps);
281 return normalized;
282 }
283
293 GF_API
295 GfVec3h *tx, GfVec3h *ty, GfVec3h *tz,
296 const bool normalize,
297 double eps = GF_MIN_ORTHO_TOLERANCE);
298
303 GF_API
305 GfHalf eps = 0.001) const;
306
307
308private:
309 GfHalf _data[3];
310};
311
314GF_API std::ostream& operator<<(std::ostream &, GfVec3h const &);
315
316
317PXR_NAMESPACE_CLOSE_SCOPE
318
319#include "pxr/base/gf/vec3d.h"
320#include "pxr/base/gf/vec3f.h"
321#include "pxr/base/gf/vec3i.h"
322
323PXR_NAMESPACE_OPEN_SCOPE
324
325inline
326GfVec3h::GfVec3h(class GfVec3d const &other)
327{
328 _data[0] = other[0];
329 _data[1] = other[1];
330 _data[2] = other[2];
331}
332inline
333GfVec3h::GfVec3h(class GfVec3f const &other)
334{
335 _data[0] = other[0];
336 _data[1] = other[1];
337 _data[2] = other[2];
338}
339inline
340GfVec3h::GfVec3h(class GfVec3i const &other)
341{
342 _data[0] = other[0];
343 _data[1] = other[1];
344 _data[2] = other[2];
345}
346
348inline GfVec3h
349GfCompMult(GfVec3h const &v1, GfVec3h const &v2) {
350 return GfVec3h(
351 v1[0] * v2[0],
352 v1[1] * v2[1],
353 v1[2] * v2[2]
354 );
355}
356
358inline GfVec3h
359GfCompDiv(GfVec3h const &v1, GfVec3h const &v2) {
360 return GfVec3h(
361 v1[0] / v2[0],
362 v1[1] / v2[1],
363 v1[2] / v2[2]
364 );
365}
366
368inline GfHalf
369GfDot(GfVec3h const &v1, GfVec3h const &v2) {
370 return v1 * v2;
371}
372
373
375inline GfHalf
377{
378 return v.GetLength();
379}
380
384inline GfHalf
385GfNormalize(GfVec3h *v, GfHalf eps = 0.001)
386{
387 return v->Normalize(eps);
388}
389
393inline GfVec3h
394GfGetNormalized(GfVec3h const &v, GfHalf eps = 0.001)
395{
396 return v.GetNormalized(eps);
397}
398
403inline GfVec3h
404GfGetProjection(GfVec3h const &a, GfVec3h const &b)
405{
406 return a.GetProjection(b);
407}
408
413inline GfVec3h
414GfGetComplement(GfVec3h const &a, GfVec3h const &b)
415{
416 return a.GetComplement(b);
417}
418
421inline bool
422GfIsClose(GfVec3h const &v1, GfVec3h const &v2, double tolerance)
423{
424 GfVec3h delta = v1 - v2;
425 return delta.GetLengthSq() <= tolerance * tolerance;
426}
427
428
429GF_API bool
430GfOrthogonalizeBasis(GfVec3h *tx, GfVec3h *ty, GfVec3h *tz,
431 bool normalize, double eps = GF_MIN_ORTHO_TOLERANCE);
432
433GF_API void
434GfBuildOrthonormalFrame(GfVec3h const &v0,
435 GfVec3h* v1,
436 GfVec3h* v2,
437 GfHalf eps = 0.001);
438
440inline GfVec3h
441GfCross(GfVec3h const &v1, GfVec3h const &v2)
442{
443 return GfVec3h(
444 v1[1] * v2[2] - v1[2] * v2[1],
445 v1[2] * v2[0] - v1[0] * v2[2],
446 v1[0] * v2[1] - v1[1] * v2[0]);
447}
448
451inline GfVec3h
452operator^(GfVec3h const &v1, GfVec3h const &v2)
453{
454 return GfCross(v1, v2);
455}
456
458GF_API GfVec3h
459GfSlerp(double alpha, GfVec3h const &v0, GfVec3h const &v1);
460
461
462
463PXR_NAMESPACE_CLOSE_SCOPE
464
465#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:63
Basic type for a vector of 3 float components.
Definition: vec3f.h:63
Basic type for a vector of 3 GfHalf components.
Definition: vec3h.h:64
GfVec3h & operator/=(double s)
Division by scalar.
Definition: vec3h.h:220
GfHalf operator*(GfVec3h const &v) const
See GfDot().
Definition: vec3h.h:231
GfVec3h & operator-=(GfVec3h const &other)
Subtraction.
Definition: vec3h.h:194
GfVec3h operator-() const
Create a vec with negated elements.
Definition: vec3h.h:178
GfVec3h & operator*=(double s)
Multiplication by scalar.
Definition: vec3h.h:205
GF_API bool operator==(class GfVec3d const &other) const
Equality comparison.
GfVec3h & operator+=(GfVec3h const &other)
Addition.
Definition: vec3h.h:183
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:258
GF_API bool operator==(class GfVec3f const &other) const
Equality comparison.
GfHalf ScalarType
Scalar element type and dimension.
Definition: vec3h.h:67
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:138
GfVec3h GetComplement(GfVec3h const &b) const
Returns the orthogonal complement of this->GetProjection(b).
Definition: vec3h.h:248
constexpr GfVec3h(GfHalf value)
Initialize all elements to a single value.
Definition: vec3h.h:74
friend size_t hash_value(GfVec3h const &vec)
Hash.
Definition: vec3h.h:152
GfHalf Normalize(GfHalf eps=0.001)
Normalizes the vector in place to unit length, returning the length before normalization.
Definition: vec3h.h:270
constexpr GfVec3h(Scl const *p)
Construct with pointer to values.
Definition: vec3h.h:87
bool operator==(GfVec3h const &other) const
Equality comparison.
Definition: vec3h.h:157
GfHalf GetLengthSq() const
Squared length.
Definition: vec3h.h:253
static GfVec3h XAxis()
Create a unit vector along the X-axis.
Definition: vec3h.h:102
GfVec3h()=default
Default constructor does no initialization.
static GfVec3h ZAxis()
Create a unit vector along the Z-axis.
Definition: vec3h.h:114
GfVec3h & Set(GfHalf s0, GfHalf s1, GfHalf s2)
Set all elements with passed arguments.
Definition: vec3h.h:130
GfHalf const & operator[](size_t i) const
Indexing.
Definition: vec3h.h:148
GfHalf const * data() const
Direct data access.
Definition: vec3h.h:143
static GfVec3h YAxis()
Create a unit vector along the Y-axis.
Definition: vec3h.h:108
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:80
static GfVec3h Axis(size_t i)
Create a unit vector along the i-th axis, zero-based.
Definition: vec3h.h:122
GfVec3h GetProjection(GfVec3h const &v) const
Returns the projection of this onto v.
Definition: vec3h.h:239
Basic type for a vector of 3 int components.
Definition: vec3i.h:61
static size_t Combine(Args &&... args)
Produce a hash code by combining the hash codes of several objects.
Definition: hash.h:492
Assorted mathematical utility functions.
double GfSqrt(double f)
Return sqrt(f).
Definition: math.h:80
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:39
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:41
Defines useful mathematical limits.
A metafunction with a static const bool member 'value' that is true for GfVec types,...
Definition: traits.h:36
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:359
GfHalf GfGetLength(GfVec3h const &v)
Returns the geometric length of v.
Definition: vec3h.h:376
GfVec3h GfGetProjection(GfVec3h const &a, GfVec3h const &b)
Returns the projection of a onto b.
Definition: vec3h.h:404
GfVec3h GfGetNormalized(GfVec3h const &v, GfHalf eps=0.001)
Returns a normalized (unit-length) vector with the same direction as v.
Definition: vec3h.h:394
GfHalf GfDot(GfVec3h const &v1, GfVec3h const &v2)
Returns the dot (inner) product of two vectors.
Definition: vec3h.h:369
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:422
GfVec3h GfGetComplement(GfVec3h const &a, GfVec3h const &b)
Returns the orthogonal complement of a.GetProjection(b).
Definition: vec3h.h:414
GfVec3h operator^(GfVec3h const &v1, GfVec3h const &v2)
Returns the cross product of v1 and v2.
Definition: vec3h.h:452
GfVec3h GfCompMult(GfVec3h const &v1, GfVec3h const &v2)
Returns component-wise multiplication of vectors v1 and v2.
Definition: vec3h.h:349
GfVec3h GfCross(GfVec3h const &v1, GfVec3h const &v2)
Returns the cross product of v1 and v2.
Definition: vec3h.h:441
GfHalf GfNormalize(GfVec3h *v, GfHalf eps=0.001)
Normalizes *v in place to unit length, returning the length before normalization.
Definition: vec3h.h:385