OpenVDB: Vec4.h Source File

OpenVDB 4.0.2

Vec4.h
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1 //
3 // Copyright (c) 2012-2017 DreamWorks Animation LLC
4 //
5 // All rights reserved. This software is distributed under the
6 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
7 //
8 // Redistributions of source code must retain the above copyright
9 // and license notice and the following restrictions and disclaimer.
10 //
11 // * Neither the name of DreamWorks Animation nor the names of
12 // its contributors may be used to endorse or promote products derived
13 // from this software without specific prior written permission.
14 //
15 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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28 //
30
31 #ifndef OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
32 #define OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
33
34 #include <openvdb/Exceptions.h>
35 #include "Math.h"
36 #include "Tuple.h"
37 #include "Vec3.h"
38 #include <cmath>
39 #include <type_traits>
40
41
42 namespace openvdb {
43 OPENVDB_USE_VERSION_NAMESPACE
44 namespace OPENVDB_VERSION_NAME {
45 namespace math {
46
47 template<typename T> class Mat3;
48
49 template<typename T>
50 class Vec4: public Tuple<4, T>
51 {
52 public:
53 typedef T value_type;
54 typedef T ValueType;
55
57 Vec4() {}
58
60 explicit Vec4(T val) { this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = val; }
61
63 Vec4(T x, T y, T z, T w)
64 {
65 this->mm[0] = x;
66 this->mm[1] = y;
67 this->mm[2] = z;
68 this->mm[3] = w;
69 }
70
72 template <typename Source>
73 Vec4(Source *a)
74 {
75 this->mm[0] = a[0];
76 this->mm[1] = a[1];
77 this->mm[2] = a[2];
78 this->mm[3] = a[3];
79 }
80
82 template<typename Source>
83 explicit Vec4(const Tuple<4, Source> &v)
84 {
85 this->mm[0] = static_cast<T>(v[0]);
86 this->mm[1] = static_cast<T>(v[1]);
87 this->mm[2] = static_cast<T>(v[2]);
88 this->mm[3] = static_cast<T>(v[3]);
89 }
90
94 template<typename Other>
95 explicit Vec4(Other val,
96 typename std::enable_if<std::is_arithmetic<Other>::value, Conversion>::type = Conversion{})
97 {
98 this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = static_cast<T>(val);
99 }
100
102 T& x() { return this->mm[0]; }
103 T& y() { return this->mm[1]; }
104 T& z() { return this->mm[2]; }
105 T& w() { return this->mm[3]; }
106
108 T x() const { return this->mm[0]; }
109 T y() const { return this->mm[1]; }
110 T z() const { return this->mm[2]; }
111 T w() const { return this->mm[3]; }
112
113 T* asPointer() { return this->mm; }
114 const T* asPointer() const { return this->mm; }
115
117 T& operator()(int i) { return this->mm[i]; }
118
120 T operator()(int i) const { return this->mm[i]; }
121
123 Vec3<T> getVec3() const { return Vec3<T>(this->mm[0], this->mm[1], this->mm[2]); }
124
127 const Vec4<T>& init(T x=0, T y=0, T z=0, T w=0)
128 {
129 this->mm[0] = x; this->mm[1] = y; this->mm[2] = z; this->mm[3] = w;
130 return *this;
131 }
132
134 const Vec4<T>& setZero()
135 {
136 this->mm[0] = 0; this->mm[1] = 0; this->mm[2] = 0; this->mm[3] = 0;
137 return *this;
138 }
139
141 template<typename Source>
142 const Vec4<T>& operator=(const Vec4<Source> &v)
143 {
144 // note: don't static_cast because that suppresses warnings
145 this->mm[0] = v[0];
146 this->mm[1] = v[1];
147 this->mm[2] = v[2];
148 this->mm[3] = v[3];
149
150 return *this;
151 }
152
155 bool eq(const Vec4<T> &v, T eps=1.0e-8) const
156 {
157 return isApproxEqual(this->mm[0], v.mm[0], eps) &&
158 isApproxEqual(this->mm[1], v.mm[1], eps) &&
159 isApproxEqual(this->mm[2], v.mm[2], eps) &&
160 isApproxEqual(this->mm[3], v.mm[3], eps);
161 }
162
164 Vec4<T> operator-() const
165 {
166 return Vec4<T>(
167 -this->mm[0],
168 -this->mm[1],
169 -this->mm[2],
170 -this->mm[3]);
171 }
172
175 template <typename T0, typename T1>
176 const Vec4<T>& add(const Vec4<T0> &v1, const Vec4<T1> &v2)
177 {
178 this->mm[0] = v1[0] + v2[0];
179 this->mm[1] = v1[1] + v2[1];
180 this->mm[2] = v1[2] + v2[2];
181 this->mm[3] = v1[3] + v2[3];
182
183 return *this;
184 }
185
186
189 template <typename T0, typename T1>
190 const Vec4<T>& sub(const Vec4<T0> &v1, const Vec4<T1> &v2)
191 {
192 this->mm[0] = v1[0] - v2[0];
193 this->mm[1] = v1[1] - v2[1];
194 this->mm[2] = v1[2] - v2[2];
195 this->mm[3] = v1[3] - v2[3];
196
197 return *this;
198 }
199
202 template <typename T0, typename T1>
203 const Vec4<T>& scale(T0 scale, const Vec4<T1> &v)
204 {
205 this->mm[0] = scale * v[0];
206 this->mm[1] = scale * v[1];
207 this->mm[2] = scale * v[2];
208 this->mm[3] = scale * v[3];
209
210 return *this;
211 }
212
213 template <typename T0, typename T1>
214 const Vec4<T> &div(T0 scalar, const Vec4<T1> &v)
215 {
216 this->mm[0] = v[0] / scalar;
217 this->mm[1] = v[1] / scalar;
218 this->mm[2] = v[2] / scalar;
219 this->mm[3] = v[3] / scalar;
220
221 return *this;
222 }
223
225 T dot(const Vec4<T> &v) const
226 {
227 return (this->mm[0]*v.mm[0] + this->mm[1]*v.mm[1]
228 + this->mm[2]*v.mm[2] + this->mm[3]*v.mm[3]);
229 }
230
232 T length() const
233 {
234 return sqrt(
235 this->mm[0]*this->mm[0] +
236 this->mm[1]*this->mm[1] +
237 this->mm[2]*this->mm[2] +
238 this->mm[3]*this->mm[3]);
239 }
240
241
244 T lengthSqr() const
245 {
246 return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]
247 + this->mm[2]*this->mm[2] + this->mm[3]*this->mm[3]);
248 }
249
252 inline const Vec4<T>& exp()
253 {
254 this->mm[0] = std::exp(this->mm[0]);
255 this->mm[1] = std::exp(this->mm[1]);
256 this->mm[2] = std::exp(this->mm[2]);
257 this->mm[3] = std::exp(this->mm[3]);
258 return *this;
259 }
260
263 inline const Vec4<T>& log()
264 {
265 this->mm[0] = std::log(this->mm[0]);
266 this->mm[1] = std::log(this->mm[1]);
267 this->mm[2] = std::log(this->mm[2]);
268 this->mm[3] = std::log(this->mm[3]);
269 return *this;
270 }
271
273 inline T sum() const
274 {
275 return this->mm[0] + this->mm[1] + this->mm[2] + this->mm[3];
276 }
277
279 inline T product() const
280 {
281 return this->mm[0] * this->mm[1] * this->mm[2] * this->mm[3];
282 }
283
285 bool normalize(T eps=1.0e-8)
286 {
287 T d = length();
288 if (isApproxEqual(d, T(0), eps)) {
289 return false;
290 }
291 *this *= (T(1) / d);
292 return true;
293 }
294
296 Vec4<T> unit(T eps=0) const
297 {
298 T d;
299 return unit(eps, d);
300 }
301
303 Vec4<T> unit(T eps, T& len) const
304 {
305 len = length();
306 if (isApproxEqual(len, T(0), eps)) {
307 throw ArithmeticError("Normalizing null 4-vector");
308 }
309 return *this / len;
310 }
311
313 Vec4<T> unitSafe() const
314 {
315 T l2 = lengthSqr();
316 return l2 ? *this / static_cast<T>(sqrt(l2)) : Vec4<T>(1, 0, 0, 0);
317 }
318
320 template <typename S>
321 const Vec4<T> &operator*=(S scalar)
322 {
323 this->mm[0] *= scalar;
324 this->mm[1] *= scalar;
325 this->mm[2] *= scalar;
326 this->mm[3] *= scalar;
327 return *this;
328 }
329
331 template <typename S>
332 const Vec4<T> &operator*=(const Vec4<S> &v1)
333 {
334 this->mm[0] *= v1[0];
335 this->mm[1] *= v1[1];
336 this->mm[2] *= v1[2];
337 this->mm[3] *= v1[3];
338
339 return *this;
340 }
341
343 template <typename S>
344 const Vec4<T> &operator/=(S scalar)
345 {
346 this->mm[0] /= scalar;
347 this->mm[1] /= scalar;
348 this->mm[2] /= scalar;
349 this->mm[3] /= scalar;
350 return *this;
351 }
352
354 template <typename S>
355 const Vec4<T> &operator/=(const Vec4<S> &v1)
356 {
357 this->mm[0] /= v1[0];
358 this->mm[1] /= v1[1];
359 this->mm[2] /= v1[2];
360 this->mm[3] /= v1[3];
361 return *this;
362 }
363
365 template <typename S>
366 const Vec4<T> &operator+=(S scalar)
367 {
368 this->mm[0] += scalar;
369 this->mm[1] += scalar;
370 this->mm[2] += scalar;
371 this->mm[3] += scalar;
372 return *this;
373 }
374
376 template <typename S>
377 const Vec4<T> &operator+=(const Vec4<S> &v1)
378 {
379 this->mm[0] += v1[0];
380 this->mm[1] += v1[1];
381 this->mm[2] += v1[2];
382 this->mm[3] += v1[3];
383 return *this;
384 }
385
387 template <typename S>
388 const Vec4<T> &operator-=(S scalar)
389 {
390 this->mm[0] -= scalar;
391 this->mm[1] -= scalar;
392 this->mm[2] -= scalar;
393 this->mm[3] -= scalar;
394 return *this;
395 }
396
398 template <typename S>
399 const Vec4<T> &operator-=(const Vec4<S> &v1)
400 {
401 this->mm[0] -= v1[0];
402 this->mm[1] -= v1[1];
403 this->mm[2] -= v1[2];
404 this->mm[3] -= v1[3];
405 return *this;
406 }
407
408 // Number of cols, rows, elements
409 static unsigned numRows() { return 1; }
410 static unsigned numColumns() { return 4; }
411 static unsigned numElements() { return 4; }
412
414 static Vec4<T> zero() { return Vec4<T>(0, 0, 0, 0); }
415 static Vec4<T> origin() { return Vec4<T>(0, 0, 0, 1); }
416 static Vec4<T> ones() { return Vec4<T>(1, 1, 1, 1); }
417 };
418
420 template <typename T0, typename T1>
421 inline bool operator==(const Vec4<T0> &v0, const Vec4<T1> &v1)
422 {
423 return
424 isExactlyEqual(v0[0], v1[0]) &&
425 isExactlyEqual(v0[1], v1[1]) &&
426 isExactlyEqual(v0[2], v1[2]) &&
427 isExactlyEqual(v0[3], v1[3]);
428 }
429
431 template <typename T0, typename T1>
432 inline bool operator!=(const Vec4<T0> &v0, const Vec4<T1> &v1) { return !(v0==v1); }
433
435 template <typename S, typename T>
436 inline Vec4<typename promote<S, T>::type> operator*(S scalar, const Vec4<T> &v)
437 { return v*scalar; }
438
440 template <typename S, typename T>
441 inline Vec4<typename promote<S, T>::type> operator*(const Vec4<T> &v, S scalar)
442 {
443 Vec4<typename promote<S, T>::type> result(v);
444 result *= scalar;
445 return result;
446 }
447
449 template <typename T0, typename T1>
450 inline Vec4<typename promote<T0, T1>::type> operator*(const Vec4<T0> &v0,
451 const Vec4<T1> &v1)
452 {
453 Vec4<typename promote<T0, T1>::type> result(v0[0]*v1[0],
454 v0[1]*v1[1],
455 v0[2]*v1[2],
456 v0[3]*v1[3]);
457 return result;
458 }
459
461 template <typename S, typename T>
462 inline Vec4<typename promote<S, T>::type> operator/(S scalar, const Vec4<T> &v)
463 {
464 return Vec4<typename promote<S, T>::type>(scalar/v[0],
465 scalar/v[1],
466 scalar/v[2],
467 scalar/v[3]);
468 }
469
471 template <typename S, typename T>
472 inline Vec4<typename promote<S, T>::type> operator/(const Vec4<T> &v, S scalar)
473 {
474 Vec4<typename promote<S, T>::type> result(v);
475 result /= scalar;
476 return result;
477 }
478
480 template <typename T0, typename T1>
481 inline Vec4<typename promote<T0, T1>::type> operator/(const Vec4<T0> &v0,
482 const Vec4<T1> &v1)
483 {
484 Vec4<typename promote<T0, T1>::type>
485 result(v0[0]/v1[0], v0[1]/v1[1], v0[2]/v1[2], v0[3]/v1[3]);
486 return result;
487 }
488
490 template <typename T0, typename T1>
491 inline Vec4<typename promote<T0, T1>::type> operator+(const Vec4<T0> &v0, const Vec4<T1> &v1)
492 {
493 Vec4<typename promote<T0, T1>::type> result(v0);
494 result += v1;
495 return result;
496 }
497
499 template <typename S, typename T>
500 inline Vec4<typename promote<S, T>::type> operator+(const Vec4<T> &v, S scalar)
501 {
502 Vec4<typename promote<S, T>::type> result(v);
503 result += scalar;
504 return result;
505 }
506
508 template <typename T0, typename T1>
509 inline Vec4<typename promote<T0, T1>::type> operator-(const Vec4<T0> &v0, const Vec4<T1> &v1)
510 {
511 Vec4<typename promote<T0, T1>::type> result(v0);
512 result -= v1;
513 return result;
514 }
515
517 template <typename S, typename T>
518 inline Vec4<typename promote<S, T>::type> operator-(const Vec4<T> &v, S scalar)
519 {
520 Vec4<typename promote<S, T>::type> result(v);
521 result -= scalar;
522 return result;
523 }
524
525 template <typename T>
526 inline bool
527 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b)
528 {
529 return a.eq(b);
530 }
531 template <typename T>
532 inline bool
533 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b, const Vec4<T>& eps)
534 {
535 return isApproxEqual(a[0], b[0], eps[0]) &&
536 isApproxEqual(a[1], b[1], eps[1]) &&
537 isApproxEqual(a[2], b[2], eps[2]) &&
538 isApproxEqual(a[3], b[3], eps[3]);
539 }
540
541 template<typename T>
542 inline Vec4<T>
543 Abs(const Vec4<T>& v)
544 {
545 return Vec4<T>(Abs(v[0]), Abs(v[1]), Abs(v[2]), Abs(v[3]));
546 }
547
552
554 template <typename T>
555 inline Vec4<T> minComponent(const Vec4<T> &v1, const Vec4<T> &v2)
556 {
557 return Vec4<T>(
558 std::min(v1.x(), v2.x()),
559 std::min(v1.y(), v2.y()),
560 std::min(v1.z(), v2.z()),
561 std::min(v1.w(), v2.w()));
562 }
563
565 template <typename T>
566 inline Vec4<T> maxComponent(const Vec4<T> &v1, const Vec4<T> &v2)
567 {
568 return Vec4<T>(
569 std::max(v1.x(), v2.x()),
570 std::max(v1.y(), v2.y()),
571 std::max(v1.z(), v2.z()),
572 std::max(v1.w(), v2.w()));
573 }
574
577 template <typename T>
578 inline Vec4<T> Exp(Vec4<T> v) { return v.exp(); }
579
582 template <typename T>
583 inline Vec4<T> Log(Vec4<T> v) { return v.log(); }
584
585 typedef Vec4<int32_t> Vec4i;
586 typedef Vec4<uint32_t> Vec4ui;
587 typedef Vec4<float> Vec4s;
588 typedef Vec4<double> Vec4d;
589
590 } // namespace math
591 } // namespace OPENVDB_VERSION_NAME
592 } // namespace openvdb
593
594 #endif // OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
595
596 // Copyright (c) 2012-2017 DreamWorks Animation LLC
597 // All rights reserved. This software is distributed under the
598 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v4_0_2::math::Vec4::value_type
T value_type
Definition: Vec4.h:53
openvdb::v4_0_2::math::Vec4s
Vec4< float > Vec4s
Definition: Vec4.h:587
openvdb::v4_0_2::math::Vec4::operator-=
const Vec4< T > & operator-=(S scalar)
Returns v, where for .
Definition: Vec4.h:388
openvdb::v4_0_2::math::Vec4::y
T & y()
Definition: Vec4.h:103
openvdb::v4_0_2::math::Exp
Vec4< T > Exp(Vec4< T > v)
Return a vector with the exponent applied to each of the components of the input vector.
Definition: Vec4.h:578
openvdb::v4_0_2::math::Vec4::div
const Vec4< T > & div(T0 scalar, const Vec4< T1 > &v)
Definition: Vec4.h:214
openvdb::v4_0_2::math::Conversion
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:48
openvdb::v4_0_2::math::Vec4::normalize
bool normalize(T eps=1.0e-8)
this = normalized this
Definition: Vec4.h:285
Vec3.h
openvdb::v4_0_2::math::Vec4::add
const Vec4< T > & add(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:176
openvdb::v4_0_2::math::Vec4
Definition: Mat4.h:51
openvdb::v4_0_2::math::Vec4::operator/=
const Vec4< T > & operator/=(S scalar)
Returns v, where for .
Definition: Vec4.h:344
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v4_0_2::math::Vec4::ValueType
T ValueType
Definition: Vec4.h:54
openvdb::v4_0_2::math::Vec4ui
Vec4< uint32_t > Vec4ui
Definition: Vec4.h:586
openvdb::v4_0_2::math::isExactlyEqual
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:391
openvdb::v4_0_2::math::isApproxEqual
bool isApproxEqual(const Vec4< T > &a, const Vec4< T > &b, const Vec4< T > &eps)
Definition: Vec4.h:533
openvdb::v4_0_2::math::Vec4::w
T & w()
Definition: Vec4.h:105
openvdb::v4_0_2::math::Vec4::sum
T sum() const
Return the sum of all the vector components.
Definition: Vec4.h:273
i
tbb::atomic< Index32 > i
Definition: LeafBuffer.h:71
openvdb::v4_0_2::ArithmeticError
Definition: Exceptions.h:82
openvdb::v4_0_2::math::Vec4::Vec4
Vec4(const Tuple< 4, Source > &v)
Conversion constructor.
Definition: Vec4.h:83
openvdb::v4_0_2::math::Vec4::x
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec4.h:108
openvdb::v4_0_2::math::Vec4::y
T y() const
Definition: Vec4.h:109
openvdb::v4_0_2::math::Vec3
Definition: Mat.h:195
openvdb::v4_0_2::math::Vec4::asPointer
const T * asPointer() const
Definition: Vec4.h:114
openvdb::v4_0_2::math::Vec4::scale
const Vec4< T > & scale(T0 scale, const Vec4< T1 > &v)
Definition: Vec4.h:203
openvdb::v4_0_2::math::operator/
Vec4< typename promote< T0, T1 >::type > operator/(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Returns V, where for .
Definition: Vec4.h:481
openvdb::v4_0_2::math::scale
MatType scale(const Vec3< typename MatType::value_type > &s)
Return a matrix that scales by s.
Definition: Mat.h:643
openvdb::v4_0_2::math::Vec4::operator()
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec4.h:120
openvdb::v4_0_2::math::operator==
bool operator==(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Equality operator, does exact floating point comparisons.
Definition: Vec4.h:421
openvdb::v4_0_2::tools::composite::max
const std::enable_if<!VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:133
openvdb::v4_0_2::math::maxComponent
Vec4< T > maxComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec4.h:566
openvdb::v4_0_2::math::Vec4::Vec4
Vec4(Other val, typename std::enable_if< std::is_arithmetic< Other >::value, Conversion >::type=Conversion{})
Construct a vector all of whose components have the given value, which may be of an arithmetic type d...
Definition: Vec4.h:95
openvdb::v4_0_2::tools::composite::min
const std::enable_if<!VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:129
openvdb::v4_0_2::math::Vec4::z
T & z()
Definition: Vec4.h:104
openvdb::v4_0_2::math::Vec4::operator+=
const Vec4< T > & operator+=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:377
openvdb::v4_0_2::math::Vec4::unit
Vec4< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec4.h:296
Exceptions.h
openvdb::v4_0_2::math::Vec4i
Vec4< int32_t > Vec4i
Definition: Vec4.h:585
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
Definition: version.h:43
openvdb::v4_0_2::math::Vec4::lengthSqr
T lengthSqr() const
Definition: Vec4.h:244
openvdb::v4_0_2::math::operator*
Vec4< typename promote< T0, T1 >::type > operator*(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Returns V, where for .
Definition: Vec4.h:450
openvdb::v4_0_2::math::Vec4::sub
const Vec4< T > & sub(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:190
openvdb::v4_0_2::math::Vec4::product
T product() const
Return the product of all the vector components.
Definition: Vec4.h:279
openvdb::v4_0_2::math::Vec4::Vec4
Vec4(Source *a)
Constructor with array argument, e.g. float a[4]; Vec4f v(a);.
Definition: Vec4.h:73
openvdb::v4_0_2::math::Vec4::numRows
static unsigned numRows()
Definition: Vec4.h:409
openvdb::v4_0_2::math::Vec4::zero
static Vec4< T > zero()
Predefined constants, e.g. Vec4f v = Vec4f::xNegAxis();.
Definition: Vec4.h:414
openvdb
Definition: Exceptions.h:39
openvdb::v4_0_2::math::Vec4::ones
static Vec4< T > ones()
Definition: Vec4.h:416
openvdb::v4_0_2::math::Vec4::unitSafe
Vec4< T > unitSafe() const
return normalized this, or (1, 0, 0, 0) if this is null vector
Definition: Vec4.h:313
openvdb::v4_0_2::math::Vec4::numElements
static unsigned numElements()
Definition: Vec4.h:411
openvdb::v4_0_2::math::Vec4::unit
Vec4< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec4.h:303
openvdb::v4_0_2::math::Abs
Vec4< T > Abs(const Vec4< T > &v)
Definition: Vec4.h:543
openvdb::v4_0_2::math::Vec4::asPointer
T * asPointer()
Definition: Vec4.h:113
openvdb::v4_0_2::math::operator!=
bool operator!=(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Inequality operator, does exact floating point comparisons.
Definition: Vec4.h:432
openvdb::v4_0_2::math::Vec4::Vec4
Vec4(T val)
Construct a vector all of whose components have the given value.
Definition: Vec4.h:60
openvdb::v4_0_2::math::operator-
Vec4< typename promote< S, T >::type > operator-(const Vec4< T > &v, S scalar)
Returns V, where for .
Definition: Vec4.h:518
openvdb::v4_0_2::math::Vec4::log
const Vec4< T > & log()
Definition: Vec4.h:263
openvdb::v4_0_2::math::Vec4::dot
T dot(const Vec4< T > &v) const
Dot product.
Definition: Vec4.h:225
openvdb::v4_0_2::math::Vec4::operator-
Vec4< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec4.h:164
openvdb::v4_0_2::math::Vec4::init
const Vec4< T > & init(T x=0, T y=0, T z=0, T w=0)
Definition: Vec4.h:127
openvdb::v4_0_2::math::Vec4::Vec4
Vec4()
Trivial constructor, the vector is NOT initialized.
Definition: Vec4.h:57
openvdb::v4_0_2::math::Vec4::operator*=
const Vec4< T > & operator*=(S scalar)
Returns v, where for .
Definition: Vec4.h:321
openvdb::v4_0_2::math::Vec4::operator+=
const Vec4< T > & operator+=(S scalar)
Returns v, where for .
Definition: Vec4.h:366
openvdb::v4_0_2::math::unit
MatType unit(const MatType &mat, typename MatType::value_type eps=1.0e-8)
Return a copy of the given matrix with its upper 3x3 rows normalized.
Definition: Mat.h:676
Tuple.h
openvdb::v4_0_2::math::Vec4::numColumns
static unsigned numColumns()
Definition: Vec4.h:410
openvdb::v4_0_2::math::operator+
Vec4< typename promote< S, T >::type > operator+(const Vec4< T > &v, S scalar)
Returns V, where for .
Definition: Vec4.h:500
openvdb::v4_0_2::math::Log
Vec4< T > Log(Vec4< T > v)
Return a vector with log applied to each of the components of the input vector.
Definition: Vec4.h:583
openvdb::v4_0_2::math::Vec4::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec4.h:102
openvdb::v4_0_2::math::Vec4::operator=
const Vec4< T > & operator=(const Vec4< Source > &v)
Assignment operator.
Definition: Vec4.h:142
openvdb::v4_0_2::math::Vec4::operator()
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec4.h:117
openvdb::v4_0_2::math::Vec4::w
T w() const
Definition: Vec4.h:111
openvdb::v4_0_2::math::Vec4d
Vec4< double > Vec4d
Definition: Vec4.h:588
openvdb::v4_0_2::math::Tuple
Definition: Tuple.h:54
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:71
openvdb::v4_0_2::math::Vec4::operator*=
const Vec4< T > & operator*=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:332
openvdb::v4_0_2::math::Vec4::Vec4
Vec4(T x, T y, T z, T w)
Constructor with four arguments, e.g. Vec4f v(1,2,3,4);.
Definition: Vec4.h:63
openvdb::v4_0_2::math::Vec4::origin
static Vec4< T > origin()
Definition: Vec4.h:415
openvdb::v4_0_2::math::Vec4::eq
bool eq(const Vec4< T > &v, T eps=1.0e-8) const
Definition: Vec4.h:155
openvdb::v4_0_2::math::Vec4::operator/=
const Vec4< T > & operator/=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:355
openvdb::v4_0_2::math::Vec4::length
T length() const
Length of the vector.
Definition: Vec4.h:232
openvdb::v4_0_2::math::Vec4::z
T z() const
Definition: Vec4.h:110
openvdb::v4_0_2::math::Vec4::getVec3
Vec3< T > getVec3() const
Returns a Vec3 with the first three elements of the Vec4.
Definition: Vec4.h:123
openvdb::v4_0_2::math::minComponent
Vec4< T > minComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec4.h:555
openvdb::v4_0_2::math::Vec4::setZero
const Vec4< T > & setZero()
Set "this" vector to zero.
Definition: Vec4.h:134
openvdb::v4_0_2::math::Vec4::exp
const Vec4< T > & exp()
Definition: Vec4.h:252
openvdb::v4_0_2::math::Vec4::operator-=
const Vec4< T > & operator-=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:399