OpenVDB: Vec4.h Source File

OpenVDB 6.0.0

Vec4.h
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1 //
3 // Copyright (c) 2012-2018 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 //
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10 //
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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 <algorithm>
39 #include <cmath>
40 #include <type_traits>
41
42
43 namespace openvdb {
44 OPENVDB_USE_VERSION_NAMESPACE
45 namespace OPENVDB_VERSION_NAME {
46 namespace math {
47
48 template<typename T> class Mat3;
49
50 template<typename T>
51 class Vec4: public Tuple<4, T>
52 {
53 public:
54 using value_type = T;
55 using ValueType = T;
56
58 Vec4() {}
59
61 explicit Vec4(T val) { this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = val; }
62
64 Vec4(T x, T y, T z, T w)
65 {
66 this->mm[0] = x;
67 this->mm[1] = y;
68 this->mm[2] = z;
69 this->mm[3] = w;
70 }
71
73 template <typename Source>
74 Vec4(Source *a)
75 {
76 this->mm[0] = a[0];
77 this->mm[1] = a[1];
78 this->mm[2] = a[2];
79 this->mm[3] = a[3];
80 }
81
83 template<typename Source>
84 explicit Vec4(const Tuple<4, Source> &v)
85 {
86 this->mm[0] = static_cast<T>(v[0]);
87 this->mm[1] = static_cast<T>(v[1]);
88 this->mm[2] = static_cast<T>(v[2]);
89 this->mm[3] = static_cast<T>(v[3]);
90 }
91
95 template<typename Other>
96 explicit Vec4(Other val,
97 typename std::enable_if<std::is_arithmetic<Other>::value, Conversion>::type = Conversion{})
98 {
99 this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = static_cast<T>(val);
100 }
101
103 T& x() { return this->mm[0]; }
104 T& y() { return this->mm[1]; }
105 T& z() { return this->mm[2]; }
106 T& w() { return this->mm[3]; }
107
109 T x() const { return this->mm[0]; }
110 T y() const { return this->mm[1]; }
111 T z() const { return this->mm[2]; }
112 T w() const { return this->mm[3]; }
113
114 T* asPointer() { return this->mm; }
115 const T* asPointer() const { return this->mm; }
116
118 T& operator()(int i) { return this->mm[i]; }
119
121 T operator()(int i) const { return this->mm[i]; }
122
124 Vec3<T> getVec3() const { return Vec3<T>(this->mm[0], this->mm[1], this->mm[2]); }
125
128 const Vec4<T>& init(T x=0, T y=0, T z=0, T w=0)
129 {
130 this->mm[0] = x; this->mm[1] = y; this->mm[2] = z; this->mm[3] = w;
131 return *this;
132 }
133
135 const Vec4<T>& setZero()
136 {
137 this->mm[0] = 0; this->mm[1] = 0; this->mm[2] = 0; this->mm[3] = 0;
138 return *this;
139 }
140
142 template<typename Source>
143 const Vec4<T>& operator=(const Vec4<Source> &v)
144 {
145 // note: don't static_cast because that suppresses warnings
146 this->mm[0] = v[0];
147 this->mm[1] = v[1];
148 this->mm[2] = v[2];
149 this->mm[3] = v[3];
150
151 return *this;
152 }
153
156 bool eq(const Vec4<T> &v, T eps = static_cast<T>(1.0e-8)) const
157 {
158 return isApproxEqual(this->mm[0], v.mm[0], eps) &&
159 isApproxEqual(this->mm[1], v.mm[1], eps) &&
160 isApproxEqual(this->mm[2], v.mm[2], eps) &&
161 isApproxEqual(this->mm[3], v.mm[3], eps);
162 }
163
165 Vec4<T> operator-() const
166 {
167 return Vec4<T>(
168 -this->mm[0],
169 -this->mm[1],
170 -this->mm[2],
171 -this->mm[3]);
172 }
173
176 template <typename T0, typename T1>
177 const Vec4<T>& add(const Vec4<T0> &v1, const Vec4<T1> &v2)
178 {
179 this->mm[0] = v1[0] + v2[0];
180 this->mm[1] = v1[1] + v2[1];
181 this->mm[2] = v1[2] + v2[2];
182 this->mm[3] = v1[3] + v2[3];
183
184 return *this;
185 }
186
187
190 template <typename T0, typename T1>
191 const Vec4<T>& sub(const Vec4<T0> &v1, const Vec4<T1> &v2)
192 {
193 this->mm[0] = v1[0] - v2[0];
194 this->mm[1] = v1[1] - v2[1];
195 this->mm[2] = v1[2] - v2[2];
196 this->mm[3] = v1[3] - v2[3];
197
198 return *this;
199 }
200
203 template <typename T0, typename T1>
204 const Vec4<T>& scale(T0 scale, const Vec4<T1> &v)
205 {
206 this->mm[0] = scale * v[0];
207 this->mm[1] = scale * v[1];
208 this->mm[2] = scale * v[2];
209 this->mm[3] = scale * v[3];
210
211 return *this;
212 }
213
214 template <typename T0, typename T1>
215 const Vec4<T> &div(T0 scalar, const Vec4<T1> &v)
216 {
217 this->mm[0] = v[0] / scalar;
218 this->mm[1] = v[1] / scalar;
219 this->mm[2] = v[2] / scalar;
220 this->mm[3] = v[3] / scalar;
221
222 return *this;
223 }
224
226 T dot(const Vec4<T> &v) const
227 {
228 return (this->mm[0]*v.mm[0] + this->mm[1]*v.mm[1]
229 + this->mm[2]*v.mm[2] + this->mm[3]*v.mm[3]);
230 }
231
233 T length() const
234 {
235 return sqrt(
236 this->mm[0]*this->mm[0] +
237 this->mm[1]*this->mm[1] +
238 this->mm[2]*this->mm[2] +
239 this->mm[3]*this->mm[3]);
240 }
241
242
245 T lengthSqr() const
246 {
247 return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]
248 + this->mm[2]*this->mm[2] + this->mm[3]*this->mm[3]);
249 }
250
253 inline const Vec4<T>& exp()
254 {
255 this->mm[0] = std::exp(this->mm[0]);
256 this->mm[1] = std::exp(this->mm[1]);
257 this->mm[2] = std::exp(this->mm[2]);
258 this->mm[3] = std::exp(this->mm[3]);
259 return *this;
260 }
261
264 inline const Vec4<T>& log()
265 {
266 this->mm[0] = std::log(this->mm[0]);
267 this->mm[1] = std::log(this->mm[1]);
268 this->mm[2] = std::log(this->mm[2]);
269 this->mm[3] = std::log(this->mm[3]);
270 return *this;
271 }
272
274 inline T sum() const
275 {
276 return this->mm[0] + this->mm[1] + this->mm[2] + this->mm[3];
277 }
278
280 inline T product() const
281 {
282 return this->mm[0] * this->mm[1] * this->mm[2] * this->mm[3];
283 }
284
286 bool normalize(T eps = static_cast<T>(1.0e-8))
287 {
288 T d = length();
289 if (isApproxEqual(d, T(0), eps)) {
290 return false;
291 }
292 *this *= (T(1) / d);
293 return true;
294 }
295
297 Vec4<T> unit(T eps=0) const
298 {
299 T d;
300 return unit(eps, d);
301 }
302
304 Vec4<T> unit(T eps, T& len) const
305 {
306 len = length();
307 if (isApproxEqual(len, T(0), eps)) {
308 throw ArithmeticError("Normalizing null 4-vector");
309 }
310 return *this / len;
311 }
312
314 Vec4<T> unitSafe() const
315 {
316 T l2 = lengthSqr();
317 return l2 ? *this / static_cast<T>(sqrt(l2)) : Vec4<T>(1, 0, 0, 0);
318 }
319
321 template <typename S>
322 const Vec4<T> &operator*=(S scalar)
323 {
324 this->mm[0] *= scalar;
325 this->mm[1] *= scalar;
326 this->mm[2] *= scalar;
327 this->mm[3] *= scalar;
328 return *this;
329 }
330
332 template <typename S>
333 const Vec4<T> &operator*=(const Vec4<S> &v1)
334 {
335 this->mm[0] *= v1[0];
336 this->mm[1] *= v1[1];
337 this->mm[2] *= v1[2];
338 this->mm[3] *= v1[3];
339
340 return *this;
341 }
342
344 template <typename S>
345 const Vec4<T> &operator/=(S scalar)
346 {
347 this->mm[0] /= scalar;
348 this->mm[1] /= scalar;
349 this->mm[2] /= scalar;
350 this->mm[3] /= scalar;
351 return *this;
352 }
353
355 template <typename S>
356 const Vec4<T> &operator/=(const Vec4<S> &v1)
357 {
358 this->mm[0] /= v1[0];
359 this->mm[1] /= v1[1];
360 this->mm[2] /= v1[2];
361 this->mm[3] /= v1[3];
362 return *this;
363 }
364
366 template <typename S>
367 const Vec4<T> &operator+=(S scalar)
368 {
369 this->mm[0] += scalar;
370 this->mm[1] += scalar;
371 this->mm[2] += scalar;
372 this->mm[3] += scalar;
373 return *this;
374 }
375
377 template <typename S>
378 const Vec4<T> &operator+=(const Vec4<S> &v1)
379 {
380 this->mm[0] += v1[0];
381 this->mm[1] += v1[1];
382 this->mm[2] += v1[2];
383 this->mm[3] += v1[3];
384 return *this;
385 }
386
388 template <typename S>
389 const Vec4<T> &operator-=(S scalar)
390 {
391 this->mm[0] -= scalar;
392 this->mm[1] -= scalar;
393 this->mm[2] -= scalar;
394 this->mm[3] -= scalar;
395 return *this;
396 }
397
399 template <typename S>
400 const Vec4<T> &operator-=(const Vec4<S> &v1)
401 {
402 this->mm[0] -= v1[0];
403 this->mm[1] -= v1[1];
404 this->mm[2] -= v1[2];
405 this->mm[3] -= v1[3];
406 return *this;
407 }
408
409 // Number of cols, rows, elements
410 static unsigned numRows() { return 1; }
411 static unsigned numColumns() { return 4; }
412 static unsigned numElements() { return 4; }
413
415 static Vec4<T> zero() { return Vec4<T>(0, 0, 0, 0); }
416 static Vec4<T> origin() { return Vec4<T>(0, 0, 0, 1); }
417 static Vec4<T> ones() { return Vec4<T>(1, 1, 1, 1); }
418 };
419
421 template <typename T0, typename T1>
422 inline bool operator==(const Vec4<T0> &v0, const Vec4<T1> &v1)
423 {
424 return
425 isExactlyEqual(v0[0], v1[0]) &&
426 isExactlyEqual(v0[1], v1[1]) &&
427 isExactlyEqual(v0[2], v1[2]) &&
428 isExactlyEqual(v0[3], v1[3]);
429 }
430
432 template <typename T0, typename T1>
433 inline bool operator!=(const Vec4<T0> &v0, const Vec4<T1> &v1) { return !(v0==v1); }
434
436 template <typename S, typename T>
437 inline Vec4<typename promote<S, T>::type> operator*(S scalar, const Vec4<T> &v)
438 { return v*scalar; }
439
441 template <typename S, typename T>
442 inline Vec4<typename promote<S, T>::type> operator*(const Vec4<T> &v, S scalar)
443 {
444 Vec4<typename promote<S, T>::type> result(v);
445 result *= scalar;
446 return result;
447 }
448
450 template <typename T0, typename T1>
451 inline Vec4<typename promote<T0, T1>::type> operator*(const Vec4<T0> &v0, 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, const Vec4<T1> &v1)
482 {
483 Vec4<typename promote<T0, T1>::type>
484 result(v0[0]/v1[0], v0[1]/v1[1], v0[2]/v1[2], v0[3]/v1[3]);
485 return result;
486 }
487
489 template <typename T0, typename T1>
490 inline Vec4<typename promote<T0, T1>::type> operator+(const Vec4<T0> &v0, const Vec4<T1> &v1)
491 {
492 Vec4<typename promote<T0, T1>::type> result(v0);
493 result += v1;
494 return result;
495 }
496
498 template <typename S, typename T>
499 inline Vec4<typename promote<S, T>::type> operator+(const Vec4<T> &v, S scalar)
500 {
501 Vec4<typename promote<S, T>::type> result(v);
502 result += scalar;
503 return result;
504 }
505
507 template <typename T0, typename T1>
508 inline Vec4<typename promote<T0, T1>::type> operator-(const Vec4<T0> &v0, const Vec4<T1> &v1)
509 {
510 Vec4<typename promote<T0, T1>::type> result(v0);
511 result -= v1;
512 return result;
513 }
514
516 template <typename S, typename T>
517 inline Vec4<typename promote<S, T>::type> operator-(const Vec4<T> &v, S scalar)
518 {
519 Vec4<typename promote<S, T>::type> result(v);
520 result -= scalar;
521 return result;
522 }
523
524 template <typename T>
525 inline bool
526 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b)
527 {
528 return a.eq(b);
529 }
530 template <typename T>
531 inline bool
532 isApproxEqual(const Vec4<T>& a, const Vec4<T>& b, const Vec4<T>& eps)
533 {
534 return isApproxEqual(a[0], b[0], eps[0]) &&
535 isApproxEqual(a[1], b[1], eps[1]) &&
536 isApproxEqual(a[2], b[2], eps[2]) &&
537 isApproxEqual(a[3], b[3], eps[3]);
538 }
539
540 template<typename T>
541 inline Vec4<T>
542 Abs(const Vec4<T>& v)
543 {
544 return Vec4<T>(Abs(v[0]), Abs(v[1]), Abs(v[2]), Abs(v[3]));
545 }
546
551
553 template <typename T>
554 inline Vec4<T> minComponent(const Vec4<T> &v1, const Vec4<T> &v2)
555 {
556 return Vec4<T>(
557 std::min(v1.x(), v2.x()),
558 std::min(v1.y(), v2.y()),
559 std::min(v1.z(), v2.z()),
560 std::min(v1.w(), v2.w()));
561 }
562
564 template <typename T>
565 inline Vec4<T> maxComponent(const Vec4<T> &v1, const Vec4<T> &v2)
566 {
567 return Vec4<T>(
568 std::max(v1.x(), v2.x()),
569 std::max(v1.y(), v2.y()),
570 std::max(v1.z(), v2.z()),
571 std::max(v1.w(), v2.w()));
572 }
573
576 template <typename T>
577 inline Vec4<T> Exp(Vec4<T> v) { return v.exp(); }
578
581 template <typename T>
582 inline Vec4<T> Log(Vec4<T> v) { return v.log(); }
583
584 using Vec4i = Vec4<int32_t>;
585 using Vec4ui = Vec4<uint32_t>;
586 using Vec4s = Vec4<float>;
587 using Vec4d = Vec4<double>;
588
589 } // namespace math
590 } // namespace OPENVDB_VERSION_NAME
591 } // namespace openvdb
592
593 #endif // OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED
594
595 // Copyright (c) 2012-2018 DreamWorks Animation LLC
596 // All rights reserved. This software is distributed under the
597 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v6_0::math::operator+
Vec4< typename promote< S, T >::type > operator+(const Vec4< T > &v, S scalar)
Add scalar to each element of the given vector and return the result.
Definition: Vec4.h:499
openvdb::v6_0::math::Vec4::numRows
static unsigned numRows()
Definition: Vec4.h:410
openvdb::v6_0::math::Vec4::operator()
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec4.h:121
openvdb::v6_0::math::Vec4::lengthSqr
T lengthSqr() const
Definition: Vec4.h:245
openvdb::v6_0::math::Tuple
Definition: Tuple.h:55
openvdb::v6_0::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:96
openvdb::v6_0::math::Vec4::dot
T dot(const Vec4< T > &v) const
Dot product.
Definition: Vec4.h:226
Vec3.h
openvdb::v6_0::math::operator *
Vec4< typename promote< T0, T1 >::type > operator *(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Multiply corresponding elements of v0 and v1 and return the result.
Definition: Vec4.h:451
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v6_0::math::Vec4::unit
Vec4< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec4.h:297
openvdb::v6_0::math::Vec4::operator()
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec4.h:118
openvdb::v6_0::math::Vec4::log
const Vec4< T > & log()
Definition: Vec4.h:264
openvdb::v6_0::math::Vec4::zero
static Vec4< T > zero()
Predefined constants, e.g. Vec4f v = Vec4f::xNegAxis();.
Definition: Vec4.h:415
openvdb::v6_0::math::Vec4::ones
static Vec4< T > ones()
Definition: Vec4.h:417
openvdb::v6_0::math::isExactlyEqual
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:395
openvdb::v6_0::math::Vec3
Definition: Mat.h:197
openvdb::v6_0::math::Vec4::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec4.h:103
openvdb::v6_0::math::Vec4::getVec3
Vec3< T > getVec3() const
Returns a Vec3 with the first three elements of the Vec4.
Definition: Vec4.h:124
openvdb::v6_0::math::Vec4::Vec4
Vec4()
Trivial constructor, the vector is NOT initialized.
Definition: Vec4.h:58
openvdb::v6_0::math::Vec4::div
const Vec4< T > & div(T0 scalar, const Vec4< T1 > &v)
Definition: Vec4.h:215
openvdb::v6_0::math::Vec4::w
T & w()
Definition: Vec4.h:106
openvdb::v6_0::math::Conversion
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:49
openvdb::v6_0::math::Vec4::Vec4
Vec4(Source *a)
Constructor with array argument, e.g. float a[4]; Vec4f v(a);.
Definition: Vec4.h:74
openvdb::v6_0::math::Vec4::setZero
const Vec4< T > & setZero()
Set "this" vector to zero.
Definition: Vec4.h:135
openvdb::v6_0::math::Vec4::w
T w() const
Definition: Vec4.h:112
openvdb::v6_0::math::Vec4::operator-=
const Vec4< T > & operator-=(const Vec4< S > &v1)
Subtract each element of the given vector from the corresponding element of this vector.
Definition: Vec4.h:400
openvdb::v6_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:554
openvdb::v6_0::math::Vec4::z
T z() const
Definition: Vec4.h:111
openvdb::v6_0::math::Vec4::operator-
Vec4< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec4.h:165
openvdb::v6_0::math::Vec4::normalize
bool normalize(T eps=static_cast< T >(1.0e-8))
this = normalized this
Definition: Vec4.h:286
openvdb::v6_0::math::Vec4::operator/=
const Vec4< T > & operator/=(const Vec4< S > &v1)
Divide each element of this vector by the corresponding element of the given vector.
Definition: Vec4.h:356
openvdb::v6_0::math::Vec4::asPointer
const T * asPointer() const
Definition: Vec4.h:115
openvdb::v6_0::math::operator!=
bool operator!=(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Inequality operator, does exact floating point comparisons.
Definition: Vec4.h:433
Exceptions.h
openvdb::v6_0::math::Vec4::numElements
static unsigned numElements()
Definition: Vec4.h:412
openvdb::v6_0::math::Abs
Vec4< T > Abs(const Vec4< T > &v)
Definition: Vec4.h:542
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h:136
openvdb::v6_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:565
openvdb::v6_0::math::Vec4::y
T y() const
Definition: Vec4.h:110
openvdb::v6_0::math::Vec4::operator+=
const Vec4< T > & operator+=(S scalar)
Add scalar to each element of this vector.
Definition: Vec4.h:367
openvdb::v6_0::math::isApproxEqual
bool isApproxEqual(const Vec4< T > &a, const Vec4< T > &b, const Vec4< T > &eps)
Definition: Vec4.h:532
openvdb
Definition: Exceptions.h:40
openvdb::v6_0::math::Vec4::asPointer
T * asPointer()
Definition: Vec4.h:114
openvdb::v6_0::math::Vec4::x
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec4.h:109
openvdb::v6_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:64
openvdb::v6_0::math::Vec4::product
T product() const
Return the product of all the vector components.
Definition: Vec4.h:280
openvdb::v6_0::math::Vec4::numColumns
static unsigned numColumns()
Definition: Vec4.h:411
openvdb::v6_0::tools::composite::min
const std::enable_if<!VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:129
openvdb::v6_0::math::scale
MatType scale(const Vec3< typename MatType::value_type > &s)
Return a matrix that scales by s.
Definition: Mat.h:647
openvdb::v6_0::math::Vec4::unitSafe
Vec4< T > unitSafe() const
return normalized this, or (1, 0, 0, 0) if this is null vector
Definition: Vec4.h:314
openvdb::v6_0::math::Vec4::operator-=
const Vec4< T > & operator-=(S scalar)
Subtract scalar from each element of this vector.
Definition: Vec4.h:389
openvdb::v6_0::math::Vec4::init
const Vec4< T > & init(T x=0, T y=0, T z=0, T w=0)
Definition: Vec4.h:128
openvdb::v6_0::math::Vec4::origin
static Vec4< T > origin()
Definition: Vec4.h:416
openvdb::v6_0::tools::composite::max
const std::enable_if<!VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:133
openvdb::v6_0::math::operator/
Vec4< typename promote< T0, T1 >::type > operator/(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Divide corresponding elements of v0 and v1 and return the result.
Definition: Vec4.h:481
openvdb::v6_0::math::operator-
Vec4< typename promote< S, T >::type > operator-(const Vec4< T > &v, S scalar)
Subtract scalar from each element of the given vector and return the result.
Definition: Vec4.h:517
openvdb::v6_0::math::Vec4::operator+=
const Vec4< T > & operator+=(const Vec4< S > &v1)
Add each element of the given vector to the corresponding element of this vector.
Definition: Vec4.h:378
openvdb::v6_0::math::Vec4::scale
const Vec4< T > & scale(T0 scale, const Vec4< T1 > &v)
Definition: Vec4.h:204
openvdb::v6_0::math::Vec4::z
T & z()
Definition: Vec4.h:105
openvdb::v6_0::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:582
openvdb::v6_0::math::Vec4::sum
T sum() const
Return the sum of all the vector components.
Definition: Vec4.h:274
openvdb::v6_0::math::Vec4::operator/=
const Vec4< T > & operator/=(S scalar)
Divide each element of this vector by scalar.
Definition: Vec4.h:345
openvdb::v6_0::math::Vec4::value_type
T value_type
Definition: Vec4.h:54
openvdb::v6_0::math::Vec4::operator=
const Vec4< T > & operator=(const Vec4< Source > &v)
Assignment operator.
Definition: Vec4.h:143
Tuple.h
openvdb::v6_0::math::operator==
bool operator==(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Equality operator, does exact floating point comparisons.
Definition: Vec4.h:422
openvdb::v6_0::math::Vec4::ValueType
T ValueType
Definition: Vec4.h:55
openvdb::v6_0::math::Vec4::add
const Vec4< T > & add(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:177
openvdb::v6_0::math::Vec4::sub
const Vec4< T > & sub(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:191
openvdb::v6_0::math::Vec4::eq
bool eq(const Vec4< T > &v, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec4.h:156
openvdb::v6_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:577
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:188
openvdb::v6_0::math::Vec4::length
T length() const
Length of the vector.
Definition: Vec4.h:233
openvdb::v6_0::math::Vec4::Vec4
Vec4(T val)
Construct a vector all of whose components have the given value.
Definition: Vec4.h:61
openvdb::v6_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 3×3 rows normalized.
Definition: Mat.h:680
openvdb::v6_0::math::Vec4::exp
const Vec4< T > & exp()
Definition: Vec4.h:253
openvdb::v6_0::math::Vec4::y
T & y()
Definition: Vec4.h:104
openvdb::v6_0::math::Vec4::Vec4
Vec4(const Tuple< 4, Source > &v)
Conversion constructor.
Definition: Vec4.h:84
openvdb::v6_0::ArithmeticError
Definition: Exceptions.h:83
openvdb::v6_0::math::Vec4
Definition: Mat4.h:51
openvdb::v6_0::math::Vec4::unit
Vec4< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec4.h:304