OpenVDB 3.2.0

Vec4.h
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1 //
3 // Copyright (c) 2012-2016 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/ )
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30
31 #ifndef OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
32 #define OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
33
34 #include <cmath>
35 #include <openvdb/Exceptions.h>
36 #include "Math.h"
37 #include "Tuple.h"
38 #include "Vec3.h"
39
40
41 namespace openvdb {
42 OPENVDB_USE_VERSION_NAMESPACE
43 namespace OPENVDB_VERSION_NAME {
44 namespace math {
45
46 template<typename T> class Mat3;
47
48 template<typename T>
49 class Vec4: public Tuple<4, T>
50 {
51 public:
52 typedef T value_type;
53 typedef T ValueType;
54
56 Vec4() {}
57
59 explicit Vec4(T val) { this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = val; }
60
62 Vec4(T x, T y, T z, T w)
63 {
64 this->mm[0] = x;
65 this->mm[1] = y;
66 this->mm[2] = z;
67 this->mm[3] = w;
68 }
69
71 template <typename Source>
72 Vec4(Source *a)
73 {
74 this->mm[0] = a[0];
75 this->mm[1] = a[1];
76 this->mm[2] = a[2];
77 this->mm[3] = a[3];
78 }
79
81 template<typename Source>
82 explicit Vec4(const Tuple<4, Source> &v)
83 {
84 this->mm[0] = static_cast<T>(v[0]);
85 this->mm[1] = static_cast<T>(v[1]);
86 this->mm[2] = static_cast<T>(v[2]);
87 this->mm[3] = static_cast<T>(v[3]);
88 }
89
91 T& x() { return this->mm[0]; }
92 T& y() { return this->mm[1]; }
93 T& z() { return this->mm[2]; }
94 T& w() { return this->mm[3]; }
95
97 T x() const { return this->mm[0]; }
98 T y() const { return this->mm[1]; }
99 T z() const { return this->mm[2]; }
100 T w() const { return this->mm[3]; }
101
102 T* asPointer() { return this->mm; }
103 const T* asPointer() const { return this->mm; }
104
106 T& operator()(int i) { return this->mm[i]; }
107
109 T operator()(int i) const { return this->mm[i]; }
110
112 Vec3<T> getVec3() const { return Vec3<T>(this->mm[0], this->mm[1], this->mm[2]); }
113
116 const Vec4<T>& init(T x=0, T y=0, T z=0, T w=0)
117 {
118 this->mm[0] = x; this->mm[1] = y; this->mm[2] = z; this->mm[3] = w;
119 return *this;
120 }
121
123 const Vec4<T>& setZero()
124 {
125 this->mm[0] = 0; this->mm[1] = 0; this->mm[2] = 0; this->mm[3] = 0;
126 return *this;
127 }
128
130 template<typename Source>
131 const Vec4<T>& operator=(const Vec4<Source> &v)
132 {
133 // note: don't static_cast because that suppresses warnings
134 this->mm[0] = v[0];
135 this->mm[1] = v[1];
136 this->mm[2] = v[2];
137 this->mm[3] = v[3];
138
139 return *this;
140 }
141
144 bool eq(const Vec4<T> &v, T eps=1.0e-8) const
145 {
146 return isApproxEqual(this->mm[0], v.mm[0], eps) &&
147 isApproxEqual(this->mm[1], v.mm[1], eps) &&
148 isApproxEqual(this->mm[2], v.mm[2], eps) &&
149 isApproxEqual(this->mm[3], v.mm[3], eps);
150 }
151
153 Vec4<T> operator-() const
154 {
155 return Vec4<T>(
156 -this->mm[0],
157 -this->mm[1],
158 -this->mm[2],
159 -this->mm[3]);
160 }
161
164 template <typename T0, typename T1>
165 const Vec4<T>& add(const Vec4<T0> &v1, const Vec4<T1> &v2)
166 {
167 this->mm[0] = v1[0] + v2[0];
168 this->mm[1] = v1[1] + v2[1];
169 this->mm[2] = v1[2] + v2[2];
170 this->mm[3] = v1[3] + v2[3];
171
172 return *this;
173 }
174
175
178 template <typename T0, typename T1>
179 const Vec4<T>& sub(const Vec4<T0> &v1, const Vec4<T1> &v2)
180 {
181 this->mm[0] = v1[0] - v2[0];
182 this->mm[1] = v1[1] - v2[1];
183 this->mm[2] = v1[2] - v2[2];
184 this->mm[3] = v1[3] - v2[3];
185
186 return *this;
187 }
188
191 template <typename T0, typename T1>
192 const Vec4<T>& scale(T0 scale, const Vec4<T1> &v)
193 {
194 this->mm[0] = scale * v[0];
195 this->mm[1] = scale * v[1];
196 this->mm[2] = scale * v[2];
197 this->mm[3] = scale * v[3];
198
199 return *this;
200 }
201
202 template <typename T0, typename T1>
203 const Vec4<T> &div(T0 scalar, const Vec4<T1> &v)
204 {
205 this->mm[0] = v[0] / scalar;
206 this->mm[1] = v[1] / scalar;
207 this->mm[2] = v[2] / scalar;
208 this->mm[3] = v[3] / scalar;
209
210 return *this;
211 }
212
214 T dot(const Vec4<T> &v) const
215 {
216 return (this->mm[0]*v.mm[0] + this->mm[1]*v.mm[1]
217 + this->mm[2]*v.mm[2] + this->mm[3]*v.mm[3]);
218 }
219
221 T length() const
222 {
223 return sqrt(
224 this->mm[0]*this->mm[0] +
225 this->mm[1]*this->mm[1] +
226 this->mm[2]*this->mm[2] +
227 this->mm[3]*this->mm[3]);
228 }
229
230
233 T lengthSqr() const
234 {
235 return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]
236 + this->mm[2]*this->mm[2] + this->mm[3]*this->mm[3]);
237 }
238
241 inline const Vec4<T>& exp()
242 {
243 this->mm[0] = std::exp(this->mm[0]);
244 this->mm[1] = std::exp(this->mm[1]);
245 this->mm[2] = std::exp(this->mm[2]);
246 this->mm[3] = std::exp(this->mm[3]);
247 return *this;
248 }
249
251 inline T sum() const
252 {
253 return this->mm[0] + this->mm[1] + this->mm[2] + this->mm[3];
254 }
255
256
258 bool normalize(T eps=1.0e-8)
259 {
260 T d = length();
261 if (isApproxEqual(d, T(0), eps)) {
262 return false;
263 }
264 *this *= (T(1) / d);
265 return true;
266 }
267
269 Vec4<T> unit(T eps=0) const
270 {
271 T d;
272 return unit(eps, d);
273 }
274
276 Vec4<T> unit(T eps, T& len) const
277 {
278 len = length();
279 if (isApproxEqual(len, T(0), eps)) {
280 throw ArithmeticError("Normalizing null 4-vector");
281 }
282 return *this / len;
283 }
284
286 template <typename S>
287 const Vec4<T> &operator*=(S scalar)
288 {
289 this->mm[0] *= scalar;
290 this->mm[1] *= scalar;
291 this->mm[2] *= scalar;
292 this->mm[3] *= scalar;
293 return *this;
294 }
295
297 template <typename S>
298 const Vec4<T> &operator*=(const Vec4<S> &v1)
299 {
300 this->mm[0] *= v1[0];
301 this->mm[1] *= v1[1];
302 this->mm[2] *= v1[2];
303 this->mm[3] *= v1[3];
304
305 return *this;
306 }
307
309 template <typename S>
310 const Vec4<T> &operator/=(S scalar)
311 {
312 this->mm[0] /= scalar;
313 this->mm[1] /= scalar;
314 this->mm[2] /= scalar;
315 this->mm[3] /= scalar;
316 return *this;
317 }
318
320 template <typename S>
321 const Vec4<T> &operator/=(const Vec4<S> &v1)
322 {
323 this->mm[0] /= v1[0];
324 this->mm[1] /= v1[1];
325 this->mm[2] /= v1[2];
326 this->mm[3] /= v1[3];
327 return *this;
328 }
329
331 template <typename S>
332 const Vec4<T> &operator+=(S scalar)
333 {
334 this->mm[0] += scalar;
335 this->mm[1] += scalar;
336 this->mm[2] += scalar;
337 this->mm[3] += scalar;
338 return *this;
339 }
340
342 template <typename S>
343 const Vec4<T> &operator+=(const Vec4<S> &v1)
344 {
345 this->mm[0] += v1[0];
346 this->mm[1] += v1[1];
347 this->mm[2] += v1[2];
348 this->mm[3] += v1[3];
349 return *this;
350 }
351
353 template <typename S>
354 const Vec4<T> &operator-=(S scalar)
355 {
356 this->mm[0] -= scalar;
357 this->mm[1] -= scalar;
358 this->mm[2] -= scalar;
359 this->mm[3] -= scalar;
360 return *this;
361 }
362
364 template <typename S>
365 const Vec4<T> &operator-=(const Vec4<S> &v1)
366 {
367 this->mm[0] -= v1[0];
368 this->mm[1] -= v1[1];
369 this->mm[2] -= v1[2];
370 this->mm[3] -= v1[3];
371 return *this;
372 }
373
374 // Number of cols, rows, elements
375 static unsigned numRows() { return 1; }
376 static unsigned numColumns() { return 4; }
377 static unsigned numElements() { return 4; }
378
380 bool isNan() const
381 {
382 return isnan(this->mm[0]) || isnan(this->mm[1])
383 || isnan(this->mm[2]) || isnan(this->mm[3]);
384 }
385
387 bool isInfinite() const
388 {
389 return isinf(this->mm[0]) || isinf(this->mm[1])
390 || isinf(this->mm[2]) || isinf(this->mm[3]);
391 }
392
394 bool isFinite() const
395 {
396 return finite(this->mm[0]) && finite(this->mm[1])
397 && finite(this->mm[2]) && finite(this->mm[3]);
398 }
399
401 static Vec4<T> zero() { return Vec4<T>(0, 0, 0, 0); }
402 static Vec4<T> origin() { return Vec4<T>(0, 0, 0, 1); }
403 };
404
406 template <typename T0, typename T1>
407 inline bool operator==(const Vec4<T0> &v0, const Vec4<T1> &v1)
408 {
409 return
410 isExactlyEqual(v0[0], v1[0]) &&
411 isExactlyEqual(v0[1], v1[1]) &&
412 isExactlyEqual(v0[2], v1[2]) &&
413 isExactlyEqual(v0[3], v1[3]);
414 }
415
417 template <typename T0, typename T1>
418 inline bool operator!=(const Vec4<T0> &v0, const Vec4<T1> &v1) { return !(v0==v1); }
419
421 template <typename S, typename T>
422 inline Vec4<typename promote<S, T>::type> operator*(S scalar, const Vec4<T> &v)
423 { return v*scalar; }
424
426 template <typename S, typename T>
427 inline Vec4<typename promote<S, T>::type> operator*(const Vec4<T> &v, S scalar)
428 {
429 Vec4<typename promote<S, T>::type> result(v);
430 result *= scalar;
431 return result;
432 }
433
435 template <typename T0, typename T1>
436 inline Vec4<typename promote<T0, T1>::type> operator*(const Vec4<T0> &v0,
437 const Vec4<T1> &v1)
438 {
439 Vec4<typename promote<T0, T1>::type> result(v0[0]*v1[0],
440 v0[1]*v1[1],
441 v0[2]*v1[2],
442 v0[3]*v1[3]);
443 return result;
444 }
445
447 template <typename S, typename T>
448 inline Vec4<typename promote<S, T>::type> operator/(S scalar, const Vec4<T> &v)
449 {
450 return Vec4<typename promote<S, T>::type>(scalar/v[0],
451 scalar/v[1],
452 scalar/v[2],
453 scalar/v[3]);
454 }
455
457 template <typename S, typename T>
458 inline Vec4<typename promote<S, T>::type> operator/(const Vec4<T> &v, S scalar)
459 {
460 Vec4<typename promote<S, T>::type> result(v);
461 result /= scalar;
462 return result;
463 }
464
466 template <typename T0, typename T1>
467 inline Vec4<typename promote<T0, T1>::type> operator/(const Vec4<T0> &v0,
468 const Vec4<T1> &v1)
469 {
470 Vec4<typename promote<T0, T1>::type>
471 result(v0[0]/v1[0], v0[1]/v1[1], v0[2]/v1[2], v0[3]/v1[3]);
472 return result;
473 }
474
476 template <typename T0, typename T1>
477 inline Vec4<typename promote<T0, T1>::type> operator+(const Vec4<T0> &v0, const Vec4<T1> &v1)
478 {
479 Vec4<typename promote<T0, T1>::type> result(v0);
480 result += v1;
481 return result;
482 }
483
485 template <typename S, typename T>
486 inline Vec4<typename promote<S, T>::type> operator+(const Vec4<T> &v, S scalar)
487 {
488 Vec4<typename promote<S, T>::type> result(v);
489 result += scalar;
490 return result;
491 }
492
494 template <typename T0, typename T1>
495 inline Vec4<typename promote<T0, T1>::type> operator-(const Vec4<T0> &v0, const Vec4<T1> &v1)
496 {
497 Vec4<typename promote<T0, T1>::type> result(v0);
498 result -= v1;
499 return result;
500 }
501
503 template <typename S, typename T>
504 inline Vec4<typename promote<S, T>::type> operator-(const Vec4<T> &v, S scalar)
505 {
506 Vec4<typename promote<S, T>::type> result(v);
507 result -= scalar;
508 return result;
509 }
510
511 template <typename T>
512 inline bool
513 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b)
514 {
515 return a.eq(b);
516 }
517 template <typename T>
518 inline bool
519 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b, const Vec4<T>& eps)
520 {
521 return isApproxEqual(a[0], b[0], eps[0]) &&
522 isApproxEqual(a[1], b[1], eps[1]) &&
523 isApproxEqual(a[2], b[2], eps[2]) &&
524 isApproxEqual(a[3], b[3], eps[3]);
525 }
526
527 template<typename T>
528 inline bool
529 isFinite(const Vec4<T>& v)
530 {
531 return isFinite(v[0]) && isFinite(v[1]) && isFinite(v[2]) && isFinite(v[3]);
532 }
533
535 template<typename T>
536 inline bool
537 isZero(const Vec4<T>& v)
538 {
539 return isZero(v[0]) && isZero(v[1]) && isZero(v[2]) && isZero(v[3]);
540 }
541
542 template<typename T>
543 inline Vec4<T>
544 Abs(const Vec4<T>& v)
545 {
546 return Vec4<T>(Abs(v[0]), Abs(v[1]), Abs(v[2]), Abs(v[3]));
547 }
548
553
555 template <typename T>
556 inline Vec4<T> minComponent(const Vec4<T> &v1, const Vec4<T> &v2)
557 {
558 return Vec4<T>(
559 std::min(v1.x(), v2.x()),
560 std::min(v1.y(), v2.y()),
561 std::min(v1.z(), v2.z()),
562 std::min(v1.w(), v2.w()));
563 }
564
566 template <typename T>
567 inline Vec4<T> maxComponent(const Vec4<T> &v1, const Vec4<T> &v2)
568 {
569 return Vec4<T>(
570 std::max(v1.x(), v2.x()),
571 std::max(v1.y(), v2.y()),
572 std::max(v1.z(), v2.z()),
573 std::max(v1.w(), v2.w()));
574 }
575
578 template <typename T>
579 inline Vec4<T> Exp(Vec4<T> v) { return v.exp(); }
580
581 typedef Vec4<int32_t> Vec4i;
582 typedef Vec4<uint32_t> Vec4ui;
583 typedef Vec4<float> Vec4s;
584 typedef Vec4<double> Vec4d;
585
586 } // namespace math
587 } // namespace OPENVDB_VERSION_NAME
588 } // namespace openvdb
589
590 #endif // OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
591
592 // Copyright (c) 2012-2016 DreamWorks Animation LLC
593 // All rights reserved. This software is distributed under the
594 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v3_2_0::math::Vec4::z
T z() const
Definition: Vec4.h:99
openvdb::v3_2_0::math::Vec4::setZero
const Vec4< T > & setZero()
Set "this" vector to zero.
Definition: Vec4.h:123
Vec3.h
openvdb::v3_2_0::math::Vec4::operator-=
const Vec4< T > & operator-=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:365
openvdb::v3_2_0::math::Vec4::w
T & w()
Definition: Vec4.h:94
openvdb::v3_2_0::math::isExactlyEqual
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:407
openvdb::v3_2_0::math::isApproxEqual
bool isApproxEqual(const Vec4< T > &a, const Vec4< T > &b, const Vec4< T > &eps)
Definition: Vec4.h:519
openvdb::v3_2_0::math::operator!=
bool operator!=(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Inequality operator, does exact floating point comparisons.
Definition: Vec4.h:418
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v3_2_0::math::Vec4::sum
T sum() const
Return the sum of all the vector components.
Definition: Vec4.h:251
openvdb::v3_2_0::math::Vec4i
Vec4< int32_t > Vec4i
Definition: Vec4.h:581
openvdb::v3_2_0::math::Vec4::y
T & y()
Definition: Vec4.h:92
openvdb::v3_2_0::math::Vec4::Vec4
Vec4(const Tuple< 4, Source > &v)
Conversion constructor.
Definition: Vec4.h:82
openvdb::v3_2_0::math::Vec4::div
const Vec4< T > & div(T0 scalar, const Vec4< T1 > &v)
Definition: Vec4.h:203
openvdb::v3_2_0::math::Vec4::normalize
bool normalize(T eps=1.0e-8)
this = normalized this
Definition: Vec4.h:258
openvdb::v3_2_0::math::Vec3
Definition: Mat.h:146
openvdb::v3_2_0::math::Vec4::x
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec4.h:97
openvdb::v3_2_0::math::Vec4::add
const Vec4< T > & add(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:165
openvdb::v3_2_0::math::operator/
Vec4< typename promote< T0, T1 >::type > operator/(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Returns V, where for .
Definition: Vec4.h:467
openvdb::v3_2_0::ArithmeticError
Definition: Exceptions.h:78
openvdb::v3_2_0::math::Vec4::scale
const Vec4< T > & scale(T0 scale, const Vec4< T1 > &v)
Definition: Vec4.h:192
openvdb::v3_2_0::math::isZero
bool isZero(const Vec4< T > &v)
Return true if all components are exactly equal to zero.
Definition: Vec4.h:537
openvdb::v3_2_0::math::Vec4::ValueType
T ValueType
Definition: Vec4.h:53
openvdb::v3_2_0::math::Vec4::operator()
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec4.h:109
openvdb::v3_2_0::math::operator*
Vec4< typename promote< T0, T1 >::type > operator*(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Returns V, where for .
Definition: Vec4.h:436
openvdb::v3_2_0::tools::composite::max
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:132
openvdb::v3_2_0::math::Vec4d
Vec4< double > Vec4d
Definition: Vec4.h:584
openvdb::v3_2_0::math::Vec4::z
T & z()
Definition: Vec4.h:93
openvdb::v3_2_0::math::Vec4::operator+=
const Vec4< T > & operator+=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:343
openvdb::v3_2_0::math::maxComponent
Vec4< T > maxComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec4.h:567
openvdb::v3_2_0::math::Vec4::lengthSqr
T lengthSqr() const
Definition: Vec4.h:233
openvdb::v3_2_0::math::Vec4::y
T y() const
Definition: Vec4.h:98
openvdb::v3_2_0::math::Vec4::asPointer
const T * asPointer() const
Definition: Vec4.h:103
openvdb::v3_2_0::math::operator==
bool operator==(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Equality operator, does exact floating point comparisons.
Definition: Vec4.h:407
openvdb::v3_2_0::math::Tuple
Definition: Tuple.h:50
Exceptions.h
openvdb::v3_2_0::math::Vec4::numRows
static unsigned numRows()
Definition: Vec4.h:375
openvdb::v3_2_0::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:579
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
Definition: version.h:43
openvdb::v3_2_0::math::Vec4ui
Vec4< uint32_t > Vec4ui
Definition: Vec4.h:582
openvdb::v3_2_0::math::Vec4::numElements
static unsigned numElements()
Definition: Vec4.h:377
openvdb::v3_2_0::math::Vec4::unit
Vec4< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec4.h:269
openvdb::v3_2_0::math::Vec4::isInfinite
bool isInfinite() const
True if an Inf is present in vector.
Definition: Vec4.h:387
openvdb::v3_2_0::math::Vec4s
Vec4< float > Vec4s
Definition: Vec4.h:583
openvdb::v3_2_0::math::Vec4::isNan
bool isNan() const
True if a Nan is present in vector.
Definition: Vec4.h:380
openvdb::v3_2_0::math::Vec4::asPointer
T * asPointer()
Definition: Vec4.h:102
openvdb
Definition: Exceptions.h:39
openvdb::v3_2_0::math::Vec4::Vec4
Vec4(T val)
Constructor with one argument, e.g. Vec4f v(0);.
Definition: Vec4.h:59
openvdb::v3_2_0::math::scale
MatType scale(const Vec3< typename MatType::value_type > &s)
Return a matrix that scales by s.
Definition: Mat.h:594
openvdb::v3_2_0::math::Vec4::sub
const Vec4< T > & sub(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:179
openvdb::v3_2_0::math::Vec4::init
const Vec4< T > & init(T x=0, T y=0, T z=0, T w=0)
Definition: Vec4.h:116
openvdb::v3_2_0::math::Vec4::Vec4
Vec4(Source *a)
Constructor with array argument, e.g. float a[4]; Vec4f v(a);.
Definition: Vec4.h:72
openvdb::v3_2_0::math::Vec4::isFinite
bool isFinite() const
True if all no Nan or Inf values present.
Definition: Vec4.h:394
openvdb::v3_2_0::math::Abs
Vec4< T > Abs(const Vec4< T > &v)
Definition: Vec4.h:544
openvdb::v3_2_0::math::Vec4::operator*=
const Vec4< T > & operator*=(S scalar)
Returns v, where for .
Definition: Vec4.h:287
openvdb::v3_2_0::math::Vec4::zero
static Vec4< T > zero()
Predefined constants, e.g. Vec4f v = Vec4f::xNegAxis();.
Definition: Vec4.h:401
openvdb::v3_2_0::math::Vec4::Vec4
Vec4()
Trivial constructor, the vector is NOT initialized.
Definition: Vec4.h:56
openvdb::v3_2_0::math::Vec4::operator+=
const Vec4< T > & operator+=(S scalar)
Returns v, where for .
Definition: Vec4.h:332
openvdb::v3_2_0::math::minComponent
Vec4< T > minComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec4.h:556
openvdb::v3_2_0::math::Vec4::unit
Vec4< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec4.h:276
openvdb::v3_2_0::math::Vec4::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec4.h:91
openvdb::v3_2_0::math::isFinite
bool isFinite(const Vec4< T > &v)
Definition: Vec4.h:529
openvdb::v3_2_0::math::Vec4::w
T w() const
Definition: Vec4.h:100
openvdb::v3_2_0::math::Vec4::operator*=
const Vec4< T > & operator*=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:298
openvdb::v3_2_0::math::Vec4::dot
T dot(const Vec4< T > &v) const
Dot product.
Definition: Vec4.h:214
openvdb::v3_2_0::math::operator-
Vec4< typename promote< S, T >::type > operator-(const Vec4< T > &v, S scalar)
Returns V, where for .
Definition: Vec4.h:504
Tuple.h
openvdb::v3_2_0::math::Vec4::origin
static Vec4< T > origin()
Definition: Vec4.h:402
openvdb::v3_2_0::math::operator+
Vec4< typename promote< S, T >::type > operator+(const Vec4< T > &v, S scalar)
Returns V, where for .
Definition: Vec4.h:486
openvdb::v3_2_0::math::Vec4::operator-
Vec4< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec4.h:153
openvdb::v3_2_0::math::Vec4::length
T length() const
Length of the vector.
Definition: Vec4.h:221
openvdb::v3_2_0::math::Vec4::getVec3
Vec3< T > getVec3() const
Returns a Vec3 with the first three elements of the Vec4.
Definition: Vec4.h:112
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:71
openvdb::v3_2_0::math::Vec4::exp
const Vec4< T > & exp()
Definition: Vec4.h:241
openvdb::v3_2_0::math::Vec4::value_type
T value_type
Definition: Vec4.h:52
openvdb::v3_2_0::math::Vec4::numColumns
static unsigned numColumns()
Definition: Vec4.h:376
openvdb::v3_2_0::math::Vec4::operator-=
const Vec4< T > & operator-=(S scalar)
Returns v, where for .
Definition: Vec4.h:354
openvdb::v3_2_0::math::Vec4::operator()
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec4.h:106
openvdb::v3_2_0::math::Vec4::operator=
const Vec4< T > & operator=(const Vec4< Source > &v)
Assignment operator.
Definition: Vec4.h:131
openvdb::v3_2_0::math::Vec4
Definition: Mat4.h:51
openvdb::v3_2_0::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:627
openvdb::v3_2_0::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:62
openvdb::v3_2_0::math::Vec4::operator/=
const Vec4< T > & operator/=(S scalar)
Returns v, where for .
Definition: Vec4.h:310
openvdb::v3_2_0::math::Vec4::eq
bool eq(const Vec4< T > &v, T eps=1.0e-8) const
Definition: Vec4.h:144
openvdb::v3_2_0::tools::composite::min
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:128
openvdb::v3_2_0::math::Vec4::operator/=
const Vec4< T > & operator/=(const Vec4< S > &v1)
Returns v0, where for .
Definition: Vec4.h:321