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Vec2.h
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1 //
3 // Copyright (c) 2012-2015 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
16 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
17 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
18 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
19 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY INDIRECT, INCIDENTAL,
20 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
21 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
22 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
23 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
24 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
25 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
26 // IN NO EVENT SHALL THE COPYRIGHT HOLDERS' AND CONTRIBUTORS' AGGREGATE
27 // LIABILITY FOR ALL CLAIMS REGARDLESS OF THEIR BASIS EXCEED US$250.00.
28 //
30
31 #ifndef OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
32 #define OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
33
34 #include <cmath>
35 #include <openvdb/Exceptions.h>
36 #include "Math.h"
37 #include "Tuple.h"
38
39
40 namespace openvdb {
41 OPENVDB_USE_VERSION_NAMESPACE
42 namespace OPENVDB_VERSION_NAME {
43 namespace math {
44
45 template<typename T> class Mat2;
46
47 template<typename T>
48 class Vec2: public Tuple<2, T>
49 {
50 public:
51 typedef T value_type;
52 typedef T ValueType;
53
55 Vec2() {}
56
58 explicit Vec2(T val) { this->mm[0] = this->mm[1] = val; }
59
61 Vec2(T x, T y)
62 {
63 this->mm[0] = x;
64 this->mm[1] = y;
65 }
66
68 template <typename Source>
69 Vec2(Source *a)
70 {
71 this->mm[0] = a[0];
72 this->mm[1] = a[1];
73 } // trivial
74
76 template<typename Source>
77 explicit Vec2(const Tuple<2, Source> &t)
78 {
79 this->mm[0] = static_cast<T>(t[0]);
80 this->mm[1] = static_cast<T>(t[1]);
81 }
82
84 T& x() {return this->mm[0];}
85 T& y() {return this->mm[1];}
86
88 T x() const {return this->mm[0];}
89 T y() const {return this->mm[1];}
90
92 T& operator()(int i) {return this->mm[i];}
93
95 T operator()(int i) const {return this->mm[i];}
96
97 T* asPointer() {return this->mm;}
98 const T* asPointer() const {return this->mm;}
99
102 const Vec2<T>& init(T x=0, T y=0)
103 {
104 this->mm[0] = x; this->mm[1] = y;
105 return *this;
106 }
107
109 const Vec2<T>& setZero()
110 {
111 this->mm[0] = 0; this->mm[1] = 0;
112 return *this;
113 }
114
116 template<typename Source>
117 const Vec2<T>& operator=(const Vec2<Source> &v)
118 {
119 // note: don't static_cast because that suppresses warnings
120 this->mm[0] = v[0];
121 this->mm[1] = v[1];
122
123 return *this;
124 }
125
127 bool operator==(const Vec2<T> &v) const
128 {
129 return (isExactlyEqual(this->mm[0], v.mm[0]) && isExactlyEqual(this->mm[1], v.mm[1]));
130 }
131
133 bool operator!=(const Vec2<T> &v) const { return !(*this==v); }
134
136 bool eq(const Vec2<T> &v, T eps = static_cast<T>(1.0e-7)) const
137 {
138 return isApproxEqual(this->mm[0], v.mm[0], eps) &&
139 isApproxEqual(this->mm[1], v.mm[1], eps);
140 } // trivial
141
143 Vec2<T> operator-() const {return Vec2<T>(-this->mm[0], -this->mm[1]);}
144
147 template <typename T0, typename T1>
148 const Vec2<T>& add(const Vec2<T0> &v1, const Vec2<T1> &v2)
149 {
150 this->mm[0] = v1[0] + v2[0];
151 this->mm[1] = v1[1] + v2[1];
152
153 return *this;
154 }
155
158 template <typename T0, typename T1>
159 const Vec2<T>& sub(const Vec2<T0> &v1, const Vec2<T1> &v2)
160 {
161 this->mm[0] = v1[0] - v2[0];
162 this->mm[1] = v1[1] - v2[1];
163
164 return *this;
165 }
166
169 template <typename T0, typename T1>
170 const Vec2<T>& scale(T0 scalar, const Vec2<T1> &v)
171 {
172 this->mm[0] = scalar * v[0];
173 this->mm[1] = scalar * v[1];
174
175 return *this;
176 }
177
178 template <typename T0, typename T1>
179 const Vec2<T> &div(T0 scalar, const Vec2<T1> &v)
180 {
181 this->mm[0] = v[0] / scalar;
182 this->mm[1] = v[1] / scalar;
183
184 return *this;
185 }
186
188 T dot(const Vec2<T> &v) const { return this->mm[0]*v[0] + this->mm[1]*v[1]; } // trivial
189
191 T length() const
192 {
193 return static_cast<T>(sqrt(double(this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1])));
194 }
195
198 T lengthSqr() const { return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]); }
199
202 inline const Vec2<T>& exp()
203 {
204 this->mm[0] = std::exp(this->mm[0]);
205 this->mm[1] = std::exp(this->mm[1]);
206 return *this;
207 }
208
210 inline T sum() const
211 {
212 return this->mm[0] + this->mm[1];
213 }
214
216 bool normalize(T eps=1.0e-8)
217 {
218 T d = length();
219 if (isApproxEqual(d, T(0), eps)) {
220 return false;
221 }
222 *this *= (T(1) / d);
223 return true;
224 }
225
227 Vec2<T> unit(T eps=0) const
228 {
229 T d;
230 return unit(eps, d);
231 }
232
234 Vec2<T> unit(T eps, T& len) const
235 {
236 len = length();
237 if (isApproxEqual(len, T(0), eps)) {
238 OPENVDB_THROW(ArithmeticError, "Normalizing null 2-vector");
239 }
240 return *this / len;
241 }
242
244 template <typename S>
245 const Vec2<T> &operator*=(S scalar)
246 {
247 this->mm[0] *= scalar;
248 this->mm[1] *= scalar;
249 return *this;
250 }
251
253 template <typename S>
254 const Vec2<T> &operator*=(const Vec2<S> &v1)
255 {
256 this->mm[0] *= v1[0];
257 this->mm[1] *= v1[1];
258 return *this;
259 }
260
262 template <typename S>
263 const Vec2<T> &operator/=(S scalar)
264 {
265 this->mm[0] /= scalar;
266 this->mm[1] /= scalar;
267 return *this;
268 }
269
271 template <typename S>
272 const Vec2<T> &operator/=(const Vec2<S> &v1)
273 {
274 this->mm[0] /= v1[0];
275 this->mm[1] /= v1[1];
276 return *this;
277 }
278
280 template <typename S>
281 const Vec2<T> &operator+=(S scalar)
282 {
283 this->mm[0] += scalar;
284 this->mm[1] += scalar;
285 return *this;
286 }
287
289 template <typename S>
290 const Vec2<T> &operator+=(const Vec2<S> &v1)
291 {
292 this->mm[0] += v1[0];
293 this->mm[1] += v1[1];
294 return *this;
295 }
296
298 template <typename S>
299 const Vec2<T> &operator-=(S scalar)
300 {
301 this->mm[0] -= scalar;
302 this->mm[1] -= scalar;
303 return *this;
304 }
305
307 template <typename S>
308 const Vec2<T> &operator-=(const Vec2<S> &v1)
309 {
310 this->mm[0] -= v1[0];
311 this->mm[1] -= v1[1];
312 return *this;
313 }
314
315 // Number of cols, rows, elements
316 static unsigned numRows() { return 1; }
317 static unsigned numColumns() { return 2; }
318 static unsigned numElements() { return 2; }
319
322 T component(const Vec2<T> &onto, T eps=1.0e-8) const
323 {
324 T l = onto.length();
325 if (isApproxEqual(l, T(0), eps)) return 0;
326
327 return dot(onto)*(T(1)/l);
328 }
329
332 Vec2<T> projection(const Vec2<T> &onto, T eps=1.0e-8) const
333 {
334 T l = onto.lengthSqr();
335 if (isApproxEqual(l, T(0), eps)) return Vec2::zero();
336
337 return onto*(dot(onto)*(T(1)/l));
338 }
339
343 Vec2<T> getArbPerpendicular() const { return Vec2<T>(-this->mm[1], this->mm[0]); }
344
346 bool isNan() const { return isnan(this->mm[0]) || isnan(this->mm[1]); }
347
349 bool isInfinite() const { return isinf(this->mm[0]) || isinf(this->mm[1]); }
350
352 bool isFinite() const { return finite(this->mm[0]) && finite(this->mm[1]); }
353
355 static Vec2<T> zero() { return Vec2<T>(0, 0); }
356 };
357
358
360 template <typename S, typename T>
361 inline Vec2<typename promote<S, T>::type> operator*(S scalar, const Vec2<T> &v)
362 {
363 return v * scalar;
364 }
365
367 template <typename S, typename T>
368 inline Vec2<typename promote<S, T>::type> operator*(const Vec2<T> &v, S scalar)
369 {
370 Vec2<typename promote<S, T>::type> result(v);
371 result *= scalar;
372 return result;
373 }
374
376 template <typename T0, typename T1>
377 inline Vec2<typename promote<T0, T1>::type> operator*(const Vec2<T0> &v0, const Vec2<T1> &v1)
378 {
379 Vec2<typename promote<T0, T1>::type> result(v0[0] * v1[0], v0[1] * v1[1]);
380 return result;
381 }
382
384 template <typename S, typename T>
385 inline Vec2<typename promote<S, T>::type> operator/(S scalar, const Vec2<T> &v)
386 {
387 return Vec2<typename promote<S, T>::type>(scalar/v[0], scalar/v[1]);
388 }
389
391 template <typename S, typename T>
392 inline Vec2<typename promote<S, T>::type> operator/(const Vec2<T> &v, S scalar)
393 {
394 Vec2<typename promote<S, T>::type> result(v);
395 result /= scalar;
396 return result;
397 }
398
400 template <typename T0, typename T1>
401 inline Vec2<typename promote<T0, T1>::type> operator/(const Vec2<T0> &v0, const Vec2<T1> &v1)
402 {
403 Vec2<typename promote<T0, T1>::type> result(v0[0] / v1[0], v0[1] / v1[1]);
404 return result;
405 }
406
408 template <typename T0, typename T1>
409 inline Vec2<typename promote<T0, T1>::type> operator+(const Vec2<T0> &v0, const Vec2<T1> &v1)
410 {
411 Vec2<typename promote<T0, T1>::type> result(v0);
412 result += v1;
413 return result;
414 }
415
417 template <typename S, typename T>
418 inline Vec2<typename promote<S, T>::type> operator+(const Vec2<T> &v, S scalar)
419 {
420 Vec2<typename promote<S, T>::type> result(v);
421 result += scalar;
422 return result;
423 }
424
426 template <typename T0, typename T1>
427 inline Vec2<typename promote<T0, T1>::type> operator-(const Vec2<T0> &v0, const Vec2<T1> &v1)
428 {
429 Vec2<typename promote<T0, T1>::type> result(v0);
430 result -= v1;
431 return result;
432 }
433
435 template <typename S, typename T>
436 inline Vec2<typename promote<S, T>::type> operator-(const Vec2<T> &v, S scalar)
437 {
438 Vec2<typename promote<S, T>::type> result(v);
439 result -= scalar;
440 return result;
441 }
442
445 template <typename T>
446 inline T angle(const Vec2<T> &v1, const Vec2<T> &v2)
447 {
448 T c = v1.dot(v2);
449 return acos(c);
450 }
451
452 template <typename T>
453 inline bool
454 isApproxEqual(const Vec2<T>& a, const Vec2<T>& b)
455 {
456 return a.eq(b);
457 }
458 template <typename T>
459 inline bool
460 isApproxEqual(const Vec2<T>& a, const Vec2<T>& b, const Vec2<T>& eps)
461 {
462 return isApproxEqual(a.x(), b.x(), eps.x()) &&
463 isApproxEqual(a.y(), b.y(), eps.y());
464 }
465
466 template<typename T>
467 inline bool
468 isFinite(const Vec2<T>& v)
469 {
470 return isFinite(v[0]) && isFinite(v[1]);
471 }
472
473 template<typename T>
474 inline Vec2<T>
475 Abs(const Vec2<T>& v)
476 {
477 return Vec2<T>(Abs(v[0]), Abs(v[1]));
478 }
479
482 template <typename T>
483 inline void orthonormalize(Vec2<T> &v1, Vec2<T> &v2)
484 {
485 // If the input vectors are v0, v1, and v2, then the Gram-Schmidt
486 // orthonormalization produces vectors u0, u1, and u2 as follows,
487 //
488 // u0 = v0/|v0|
489 // u1 = (v1-(u0*v1)u0)/|v1-(u0*v1)u0|
490 //
491 // where |A| indicates length of vector A and A*B indicates dot
492 // product of vectors A and B.
493
494 // compute u0
495 v1.normalize();
496
497 // compute u1
498 T d0 = v1.dot(v2);
499 v2 -= v1*d0;
500 v2.normalize();
501 }
502
503
508
510 template <typename T>
511 inline Vec2<T> minComponent(const Vec2<T> &v1, const Vec2<T> &v2)
512 {
513 return Vec2<T>(
514 std::min(v1.x(), v2.x()),
515 std::min(v1.y(), v2.y()));
516 }
517
519 template <typename T>
520 inline Vec2<T> maxComponent(const Vec2<T> &v1, const Vec2<T> &v2)
521 {
522 return Vec2<T>(
523 std::max(v1.x(), v2.x()),
524 std::max(v1.y(), v2.y()));
525 }
526
529 template <typename T>
530 inline Vec2<T> Exp(Vec2<T> v) { return v.exp(); }
531
532 typedef Vec2<int32_t> Vec2i;
533 typedef Vec2<uint32_t> Vec2ui;
534 typedef Vec2<float> Vec2s;
535 typedef Vec2<double> Vec2d;
536
537 } // namespace math
538 } // namespace OPENVDB_VERSION_NAME
539 } // namespace openvdb
540
541 #endif // OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
542
543 // Copyright (c) 2012-2015 DreamWorks Animation LLC
544 // All rights reserved. This software is distributed under the
545 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v3_1_0::math::operator-
Vec2< typename promote< S, T >::type > operator-(const Vec2< T > &v, S scalar)
Returns V, where for .
Definition: Vec2.h:436
openvdb::v3_1_0::math::Vec2
Definition: Vec2.h:48
openvdb::v3_1_0::math::Vec2::unit
Vec2< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec2.h:227
openvdb::v3_1_0::math::operator+
Vec2< typename promote< S, T >::type > operator+(const Vec2< T > &v, S scalar)
Returns V, where for .
Definition: Vec2.h:418
openvdb::v3_1_0::math::Vec2::operator/=
const Vec2< T > & operator/=(S scalar)
Returns v, where for .
Definition: Vec2.h:263
openvdb::v3_1_0::math::operator/
Vec2< typename promote< T0, T1 >::type > operator/(const Vec2< T0 > &v0, const Vec2< T1 > &v1)
Returns V, where for .
Definition: Vec2.h:401
openvdb::v3_1_0::math::Vec2::operator*=
const Vec2< T > & operator*=(const Vec2< S > &v1)
Returns v0, where for .
Definition: Vec2.h:254
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v3_1_0::math::Vec2::setZero
const Vec2< T > & setZero()
Set "this" vector to zero.
Definition: Vec2.h:109
openvdb::v3_1_0::math::isFinite
bool isFinite(const Vec2< T > &v)
Definition: Vec2.h:468
openvdb::v3_1_0::math::Vec2::operator*=
const Vec2< T > & operator*=(S scalar)
Returns v, where for .
Definition: Vec2.h:245
openvdb::v3_1_0::math::Vec2::x
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec2.h:88
openvdb::v3_1_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_THROW
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:97
openvdb::v3_1_0::math::Vec2::sub
const Vec2< T > & sub(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:159
openvdb::v3_1_0::math::maxComponent
Vec2< T > maxComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec2.h:520
openvdb::v3_1_0::math::Vec2ui
Vec2< uint32_t > Vec2ui
Definition: Vec2.h:533
openvdb::v3_1_0::math::Vec2i
Vec2< int32_t > Vec2i
Definition: Vec2.h:532
openvdb::v3_1_0::math::Vec2::y
T y() const
Definition: Vec2.h:89
openvdb::v3_1_0::math::angle
T angle(const Vec2< T > &v1, const Vec2< T > &v2)
Definition: Vec2.h:446
openvdb::v3_1_0::math::Vec2::scale
const Vec2< T > & scale(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:170
openvdb::v3_1_0::tools::composite::min
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:105
openvdb::v3_1_0::math::Vec2::ValueType
T ValueType
Definition: Vec2.h:52
openvdb::v3_1_0::math::Vec2::operator/=
const Vec2< T > & operator/=(const Vec2< S > &v1)
Returns v0, where for .
Definition: Vec2.h:272
openvdb::v3_1_0::math::Vec2::isFinite
bool isFinite() const
True if all no Nan or Inf values present.
Definition: Vec2.h:352
openvdb::v3_1_0::math::Vec2::numRows
static unsigned numRows()
Definition: Vec2.h:316
openvdb::v3_1_0::math::Vec2::operator-=
const Vec2< T > & operator-=(const Vec2< S > &v1)
Returns v0, where for .
Definition: Vec2.h:308
openvdb::v3_1_0::math::minComponent
Vec2< T > minComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec2.h:511
openvdb::v3_1_0::math::Tuple
Definition: Tuple.h:50
openvdb::v3_1_0::math::Vec2::operator=
const Vec2< T > & operator=(const Vec2< Source > &v)
Assignment operator.
Definition: Vec2.h:117
Exceptions.h
openvdb::v3_1_0::math::Vec2::operator==
bool operator==(const Vec2< T > &v) const
Equality operator, does exact floating point comparisons.
Definition: Vec2.h:127
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
Definition: version.h:43
openvdb::v3_1_0::math::Vec2::zero
static Vec2< T > zero()
Predefined constants, e.g. Vec2f v = Vec2f::xNegAxis();.
Definition: Vec2.h:355
openvdb::v3_1_0::math::Vec2::getArbPerpendicular
Vec2< T > getArbPerpendicular() const
Definition: Vec2.h:343
openvdb::v3_1_0::math::operator*
Vec2< typename promote< T0, T1 >::type > operator*(const Vec2< T0 > &v0, const Vec2< T1 > &v1)
Returns V, where for .
Definition: Vec2.h:377
openvdb::v3_1_0::math::Abs
Vec2< T > Abs(const Vec2< T > &v)
Definition: Vec2.h:475
openvdb::v3_1_0::math::Mat2
Definition: Vec2.h:45
openvdb::v3_1_0::math::Vec2::asPointer
T * asPointer()
Definition: Vec2.h:97
openvdb::v3_1_0::math::Vec2::Vec2
Vec2(Source *a)
Constructor with array argument, e.g. float a[2]; Vec2f v(a);.
Definition: Vec2.h:69
openvdb::v3_1_0::math::orthonormalize
void orthonormalize(Vec2< T > &v1, Vec2< T > &v2)
Definition: Vec2.h:483
openvdb
Definition: Exceptions.h:39
openvdb::v3_1_0::math::Vec2::eq
bool eq(const Vec2< T > &v, T eps=static_cast< T >(1.0e-7)) const
Test if "this" vector is equivalent to vector v with tolerance of eps.
Definition: Vec2.h:136
openvdb::v3_1_0::math::Tuple< 2, T >::mm
T mm[SIZE]
Definition: Tuple.h:148
openvdb::v3_1_0::math::Vec2::y
T & y()
Definition: Vec2.h:85
openvdb::v3_1_0::math::Vec2::normalize
bool normalize(T eps=1.0e-8)
this = normalized this
Definition: Vec2.h:216
openvdb::v3_1_0::math::Vec2::dot
T dot(const Vec2< T > &v) const
Dot product.
Definition: Vec2.h:188
openvdb::v3_1_0::math::Vec2::operator+=
const Vec2< T > & operator+=(const Vec2< S > &v1)
Returns v0, where for .
Definition: Vec2.h:290
openvdb::v3_1_0::math::Vec2::operator-
Vec2< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec2.h:143
openvdb::v3_1_0::math::Vec2::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec2.h:84
openvdb::v3_1_0::math::Vec2::add
const Vec2< T > & add(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:148
openvdb::v3_1_0::math::Vec2::operator-=
const Vec2< T > & operator-=(S scalar)
Returns v, where for .
Definition: Vec2.h:299
openvdb::v3_1_0::math::Vec2::Vec2
Vec2(const Tuple< 2, Source > &t)
Conversion constructor.
Definition: Vec2.h:77
openvdb::v3_1_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_1_0::math::Vec2::init
const Vec2< T > & init(T x=0, T y=0)
Definition: Vec2.h:102
openvdb::v3_1_0::math::Vec2::div
const Vec2< T > & div(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:179
openvdb::v3_1_0::math::Vec2::component
T component(const Vec2< T > &onto, T eps=1.0e-8) const
Definition: Vec2.h:322
openvdb::v3_1_0::math::Vec2::operator+=
const Vec2< T > & operator+=(S scalar)
Returns v, where for .
Definition: Vec2.h:281
openvdb::v3_1_0::math::Vec2::isNan
bool isNan() const
True if a Nan is present in vector.
Definition: Vec2.h:346
openvdb::v3_1_0::math::Vec2::lengthSqr
T lengthSqr() const
Definition: Vec2.h:198
openvdb::v3_1_0::math::Vec2::unit
Vec2< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec2.h:234
openvdb::v3_1_0::math::Vec2::operator!=
bool operator!=(const Vec2< T > &v) const
Inequality operator, does exact floating point comparisons.
Definition: Vec2.h:133
openvdb::v3_1_0::tools::composite::max
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:109
openvdb::v3_1_0::math::Vec2::Vec2
Vec2(T val)
Constructor with one argument, e.g. Vec2f v(0);.
Definition: Vec2.h:58
openvdb::v3_1_0::math::Exp
Vec2< T > Exp(Vec2< T > v)
Return a vector with the exponent applied to each of the components of the input vector.
Definition: Vec2.h:530
openvdb::v3_1_0::math::Vec2::operator()
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec2.h:95
openvdb::v3_1_0::math::Vec2::exp
const Vec2< T > & exp()
Definition: Vec2.h:202
Tuple.h
openvdb::v3_1_0::math::Vec2::sum
T sum() const
Return the sum of all the vector components.
Definition: Vec2.h:210
openvdb::v3_1_0::ArithmeticError
Definition: Exceptions.h:78
openvdb::v3_1_0::math::Vec2::isInfinite
bool isInfinite() const
True if an Inf is present in vector.
Definition: Vec2.h:349
openvdb::v3_1_0::math::Vec2::operator()
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec2.h:92
openvdb::v3_1_0::math::Vec2s
Vec2< float > Vec2s
Definition: Vec2.h:534
openvdb::v3_1_0::math::Vec2::projection
Vec2< T > projection(const Vec2< T > &onto, T eps=1.0e-8) const
Definition: Vec2.h:332
openvdb::v3_1_0::math::Vec2::numElements
static unsigned numElements()
Definition: Vec2.h:318
openvdb::v3_1_0::math::Vec2::Vec2
Vec2(T x, T y)
Constructor with two arguments, e.g. Vec2f v(1,2,3);.
Definition: Vec2.h:61
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:71
openvdb::v3_1_0::math::Vec2::Vec2
Vec2()
Trivial constructor, the vector is NOT initialized.
Definition: Vec2.h:55
openvdb::v3_1_0::math::isApproxEqual
bool isApproxEqual(const Vec2< T > &a, const Vec2< T > &b, const Vec2< T > &eps)
Definition: Vec2.h:460
openvdb::v3_1_0::math::Vec2::length
T length() const
Length of the vector.
Definition: Vec2.h:191
openvdb::v3_1_0::math::Vec2::asPointer
const T * asPointer() const
Definition: Vec2.h:98
openvdb::v3_1_0::math::Vec2d
Vec2< double > Vec2d
Definition: Vec2.h:535
openvdb::v3_1_0::math::Vec2::value_type
T value_type
Definition: Vec2.h:51
openvdb::v3_1_0::math::Vec2::numColumns
static unsigned numColumns()
Definition: Vec2.h:317