OpenVDB: Vec2.h Source File

OpenVDB 7.0.0

Vec2.h
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1 // Copyright Contributors to the OpenVDB Project
2 // SPDX-License-Identifier: MPL-2.0
3
4 #ifndef OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
5 #define OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
6
7 #include <openvdb/Exceptions.h>
8 #include "Math.h"
9 #include "Tuple.h"
10 #include <algorithm>
11 #include <cmath>
12 #include <type_traits>
13
14
15 namespace openvdb {
16 OPENVDB_USE_VERSION_NAMESPACE
17 namespace OPENVDB_VERSION_NAME {
18 namespace math {
19
20 template<typename T> class Mat2;
21
22 template<typename T>
23 class Vec2: public Tuple<2, T>
24 {
25 public:
26 using value_type = T;
27 using ValueType = T;
28
30 Vec2() {}
31
33 explicit Vec2(T val) { this->mm[0] = this->mm[1] = val; }
34
36 Vec2(T x, T y)
37 {
38 this->mm[0] = x;
39 this->mm[1] = y;
40 }
41
43 template <typename Source>
44 Vec2(Source *a)
45 {
46 this->mm[0] = static_cast<T>(a[0]);
47 this->mm[1] = static_cast<T>(a[1]);
48 } // trivial
49
51 template<typename Source>
52 explicit Vec2(const Tuple<2, Source> &t)
53 {
54 this->mm[0] = static_cast<T>(t[0]);
55 this->mm[1] = static_cast<T>(t[1]);
56 }
57
61 template<typename Other>
62 explicit Vec2(Other val,
63 typename std::enable_if<std::is_arithmetic<Other>::value, Conversion>::type = Conversion{})
64 {
65 this->mm[0] = this->mm[1] = static_cast<T>(val);
66 }
67
69 T& x() {return this->mm[0];}
70 T& y() {return this->mm[1];}
71
73 T x() const {return this->mm[0];}
74 T y() const {return this->mm[1];}
75
77 T& operator()(int i) {return this->mm[i];}
78
80 T operator()(int i) const {return this->mm[i];}
81
82 T* asPointer() {return this->mm;}
83 const T* asPointer() const {return this->mm;}
84
87 const Vec2<T>& init(T x=0, T y=0)
88 {
89 this->mm[0] = x; this->mm[1] = y;
90 return *this;
91 }
92
94 const Vec2<T>& setZero()
95 {
96 this->mm[0] = 0; this->mm[1] = 0;
97 return *this;
98 }
99
101 template<typename Source>
102 const Vec2<T>& operator=(const Vec2<Source> &v)
103 {
104 // note: don't static_cast because that suppresses warnings
105 this->mm[0] = v[0];
106 this->mm[1] = v[1];
107
108 return *this;
109 }
110
112 bool operator==(const Vec2<T> &v) const
113 {
114 return (isExactlyEqual(this->mm[0], v.mm[0]) && isExactlyEqual(this->mm[1], v.mm[1]));
115 }
116
118 bool operator!=(const Vec2<T> &v) const { return !(*this==v); }
119
121 bool eq(const Vec2<T> &v, T eps = static_cast<T>(1.0e-7)) const
122 {
123 return isApproxEqual(this->mm[0], v.mm[0], eps) &&
124 isApproxEqual(this->mm[1], v.mm[1], eps);
125 } // trivial
126
128 Vec2<T> operator-() const {return Vec2<T>(-this->mm[0], -this->mm[1]);}
129
132 template <typename T0, typename T1>
133 const Vec2<T>& add(const Vec2<T0> &v1, const Vec2<T1> &v2)
134 {
135 this->mm[0] = v1[0] + v2[0];
136 this->mm[1] = v1[1] + v2[1];
137
138 return *this;
139 }
140
143 template <typename T0, typename T1>
144 const Vec2<T>& sub(const Vec2<T0> &v1, const Vec2<T1> &v2)
145 {
146 this->mm[0] = v1[0] - v2[0];
147 this->mm[1] = v1[1] - v2[1];
148
149 return *this;
150 }
151
154 template <typename T0, typename T1>
155 const Vec2<T>& scale(T0 scalar, const Vec2<T1> &v)
156 {
157 this->mm[0] = scalar * v[0];
158 this->mm[1] = scalar * v[1];
159
160 return *this;
161 }
162
163 template <typename T0, typename T1>
164 const Vec2<T> &div(T0 scalar, const Vec2<T1> &v)
165 {
166 this->mm[0] = v[0] / scalar;
167 this->mm[1] = v[1] / scalar;
168
169 return *this;
170 }
171
173 T dot(const Vec2<T> &v) const { return this->mm[0]*v[0] + this->mm[1]*v[1]; } // trivial
174
176 T length() const
177 {
178 return static_cast<T>(sqrt(double(this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1])));
179 }
180
183 T lengthSqr() const { return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]); }
184
187 inline const Vec2<T>& exp()
188 {
189 this->mm[0] = std::exp(this->mm[0]);
190 this->mm[1] = std::exp(this->mm[1]);
191 return *this;
192 }
193
196 inline const Vec2<T>& log()
197 {
198 this->mm[0] = std::log(this->mm[0]);
199 this->mm[1] = std::log(this->mm[1]);
200 return *this;
201 }
202
204 inline T sum() const
205 {
206 return this->mm[0] + this->mm[1];
207 }
208
210 inline T product() const
211 {
212 return this->mm[0] * this->mm[1];
213 }
214
216 bool normalize(T eps = static_cast<T>(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 Vec2<T> unitSafe() const
245 {
246 T l2 = lengthSqr();
247 return l2 ? *this/static_cast<T>(sqrt(l2)) : Vec2<T>(1,0);
248 }
249
251 template <typename S>
252 const Vec2<T> &operator*=(S scalar)
253 {
254 this->mm[0] *= scalar;
255 this->mm[1] *= scalar;
256 return *this;
257 }
258
260 template <typename S>
261 const Vec2<T> &operator*=(const Vec2<S> &v1)
262 {
263 this->mm[0] *= v1[0];
264 this->mm[1] *= v1[1];
265 return *this;
266 }
267
269 template <typename S>
270 const Vec2<T> &operator/=(S scalar)
271 {
272 this->mm[0] /= scalar;
273 this->mm[1] /= scalar;
274 return *this;
275 }
276
278 template <typename S>
279 const Vec2<T> &operator/=(const Vec2<S> &v1)
280 {
281 this->mm[0] /= v1[0];
282 this->mm[1] /= v1[1];
283 return *this;
284 }
285
287 template <typename S>
288 const Vec2<T> &operator+=(S scalar)
289 {
290 this->mm[0] += scalar;
291 this->mm[1] += scalar;
292 return *this;
293 }
294
296 template <typename S>
297 const Vec2<T> &operator+=(const Vec2<S> &v1)
298 {
299 this->mm[0] += v1[0];
300 this->mm[1] += v1[1];
301 return *this;
302 }
303
305 template <typename S>
306 const Vec2<T> &operator-=(S scalar)
307 {
308 this->mm[0] -= scalar;
309 this->mm[1] -= scalar;
310 return *this;
311 }
312
314 template <typename S>
315 const Vec2<T> &operator-=(const Vec2<S> &v1)
316 {
317 this->mm[0] -= v1[0];
318 this->mm[1] -= v1[1];
319 return *this;
320 }
321
322 // Number of cols, rows, elements
323 static unsigned numRows() { return 1; }
324 static unsigned numColumns() { return 2; }
325 static unsigned numElements() { return 2; }
326
329 T component(const Vec2<T> &onto, T eps = static_cast<T>(1.0e-8)) const
330 {
331 T l = onto.length();
332 if (isApproxEqual(l, T(0), eps)) return 0;
333
334 return dot(onto)*(T(1)/l);
335 }
336
339 Vec2<T> projection(const Vec2<T> &onto, T eps = static_cast<T>(1.0e-8)) const
340 {
341 T l = onto.lengthSqr();
342 if (isApproxEqual(l, T(0), eps)) return Vec2::zero();
343
344 return onto*(dot(onto)*(T(1)/l));
345 }
346
350 Vec2<T> getArbPerpendicular() const { return Vec2<T>(-this->mm[1], this->mm[0]); }
351
353 static Vec2<T> zero() { return Vec2<T>(0, 0); }
354 static Vec2<T> ones() { return Vec2<T>(1, 1); }
355 };
356
357
359 template <typename S, typename T>
360 inline Vec2<typename promote<S, T>::type> operator*(S scalar, const Vec2<T> &v)
361 {
362 return v * scalar;
363 }
364
366 template <typename S, typename T>
367 inline Vec2<typename promote<S, T>::type> operator*(const Vec2<T> &v, S scalar)
368 {
369 Vec2<typename promote<S, T>::type> result(v);
370 result *= scalar;
371 return result;
372 }
373
375 template <typename T0, typename T1>
376 inline Vec2<typename promote<T0, T1>::type> operator*(const Vec2<T0> &v0, const Vec2<T1> &v1)
377 {
378 Vec2<typename promote<T0, T1>::type> result(v0[0] * v1[0], v0[1] * v1[1]);
379 return result;
380 }
381
383 template <typename S, typename T>
384 inline Vec2<typename promote<S, T>::type> operator/(S scalar, const Vec2<T> &v)
385 {
386 return Vec2<typename promote<S, T>::type>(scalar/v[0], scalar/v[1]);
387 }
388
390 template <typename S, typename T>
391 inline Vec2<typename promote<S, T>::type> operator/(const Vec2<T> &v, S scalar)
392 {
393 Vec2<typename promote<S, T>::type> result(v);
394 result /= scalar;
395 return result;
396 }
397
399 template <typename T0, typename T1>
400 inline Vec2<typename promote<T0, T1>::type> operator/(const Vec2<T0> &v0, const Vec2<T1> &v1)
401 {
402 Vec2<typename promote<T0, T1>::type> result(v0[0] / v1[0], v0[1] / v1[1]);
403 return result;
404 }
405
407 template <typename T0, typename T1>
408 inline Vec2<typename promote<T0, T1>::type> operator+(const Vec2<T0> &v0, const Vec2<T1> &v1)
409 {
410 Vec2<typename promote<T0, T1>::type> result(v0);
411 result += v1;
412 return result;
413 }
414
416 template <typename S, typename T>
417 inline Vec2<typename promote<S, T>::type> operator+(const Vec2<T> &v, S scalar)
418 {
419 Vec2<typename promote<S, T>::type> result(v);
420 result += scalar;
421 return result;
422 }
423
425 template <typename T0, typename T1>
426 inline Vec2<typename promote<T0, T1>::type> operator-(const Vec2<T0> &v0, const Vec2<T1> &v1)
427 {
428 Vec2<typename promote<T0, T1>::type> result(v0);
429 result -= v1;
430 return result;
431 }
432
434 template <typename S, typename T>
435 inline Vec2<typename promote<S, T>::type> operator-(const Vec2<T> &v, S scalar)
436 {
437 Vec2<typename promote<S, T>::type> result(v);
438 result -= scalar;
439 return result;
440 }
441
444 template <typename T>
445 inline T angle(const Vec2<T> &v1, const Vec2<T> &v2)
446 {
447 T c = v1.dot(v2);
448 return acos(c);
449 }
450
451 template <typename T>
452 inline bool
453 isApproxEqual(const Vec2<T>& a, const Vec2<T>& b)
454 {
455 return a.eq(b);
456 }
457 template <typename T>
458 inline bool
459 isApproxEqual(const Vec2<T>& a, const Vec2<T>& b, const Vec2<T>& eps)
460 {
461 return isApproxEqual(a.x(), b.x(), eps.x()) &&
462 isApproxEqual(a.y(), b.y(), eps.y());
463 }
464
465 template<typename T>
466 inline Vec2<T>
467 Abs(const Vec2<T>& v)
468 {
469 return Vec2<T>(Abs(v[0]), Abs(v[1]));
470 }
471
474 template <typename T>
475 inline void orthonormalize(Vec2<T> &v1, Vec2<T> &v2)
476 {
477 // If the input vectors are v0, v1, and v2, then the Gram-Schmidt
478 // orthonormalization produces vectors u0, u1, and u2 as follows,
479 //
480 // u0 = v0/|v0|
481 // u1 = (v1-(u0*v1)u0)/|v1-(u0*v1)u0|
482 //
483 // where |A| indicates length of vector A and A*B indicates dot
484 // product of vectors A and B.
485
486 // compute u0
487 v1.normalize();
488
489 // compute u1
490 T d0 = v1.dot(v2);
491 v2 -= v1*d0;
492 v2.normalize();
493 }
494
495
500
502 template <typename T>
503 inline Vec2<T> minComponent(const Vec2<T> &v1, const Vec2<T> &v2)
504 {
505 return Vec2<T>(
506 std::min(v1.x(), v2.x()),
507 std::min(v1.y(), v2.y()));
508 }
509
511 template <typename T>
512 inline Vec2<T> maxComponent(const Vec2<T> &v1, const Vec2<T> &v2)
513 {
514 return Vec2<T>(
515 std::max(v1.x(), v2.x()),
516 std::max(v1.y(), v2.y()));
517 }
518
521 template <typename T>
522 inline Vec2<T> Exp(Vec2<T> v) { return v.exp(); }
523
526 template <typename T>
527 inline Vec2<T> Log(Vec2<T> v) { return v.log(); }
528
529 using Vec2i = Vec2<int32_t>;
530 using Vec2ui = Vec2<uint32_t>;
531 using Vec2s = Vec2<float>;
532 using Vec2d = Vec2<double>;
533
534 } // namespace math
535 } // namespace OPENVDB_VERSION_NAME
536 } // namespace openvdb
537
538 #endif // OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
openvdb::v7_0::math::Vec2::operator/=
const Vec2< T > & operator/=(S scalar)
Divide each element of this vector by scalar.
Definition: Vec2.h:270
openvdb::v7_0::math::Vec2::getArbPerpendicular
Vec2< T > getArbPerpendicular() const
Definition: Vec2.h:350
openvdb::v7_0::math::Vec2::scale
const Vec2< T > & scale(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:155
openvdb::v7_0::math::Vec2::Vec2
Vec2(T val)
Construct a vector all of whose components have the given value.
Definition: Vec2.h:33
openvdb::v7_0::math::Vec2::sub
const Vec2< T > & sub(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:144
openvdb::v7_0::math::operator+
Vec2< typename promote< S, T >::type > operator+(const Vec2< T > &v, S scalar)
Add scalar to each element of the given vector and return the result.
Definition: Vec2.h:417
openvdb::v7_0::math::Vec2::dot
T dot(const Vec2< T > &v) const
Dot product.
Definition: Vec2.h:173
openvdb::v7_0::math::Vec2
Definition: Vec2.h:23
openvdb::v7_0::math::Vec2::ones
static Vec2< T > ones()
Definition: Vec2.h:354
openvdb::v7_0::math::Vec2::Vec2
Vec2(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: Vec2.h:62
openvdb::v7_0::math::Tuple
Definition: Tuple.h:28
openvdb::v7_0::math::isApproxEqual
bool isApproxEqual(const Vec2< T > &a, const Vec2< T > &b, const Vec2< T > &eps)
Definition: Vec2.h:459
openvdb::v7_0::math::Vec2::zero
static Vec2< T > zero()
Predefined constants, e.g. Vec2f v = Vec2f::xNegAxis();.
Definition: Vec2.h:353
openvdb::v7_0::math::Mat2
Definition: Vec2.h:20
openvdb::v7_0::math::Vec2::lengthSqr
T lengthSqr() const
Definition: Vec2.h:183
openvdb::v7_0::math::Vec2::ValueType
T ValueType
Definition: Vec2.h:27
openvdb::v7_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:503
openvdb::v7_0::math::Vec2::asPointer
T * asPointer()
Definition: Vec2.h:82
openvdb::v7_0::math::Vec2::init
const Vec2< T > & init(T x=0, T y=0)
Definition: Vec2.h:87
openvdb::v7_0::math::Vec2::operator!=
bool operator!=(const Vec2< T > &v) const
Inequality operator, does exact floating point comparisons.
Definition: Vec2.h:118
openvdb::v7_0::math::Conversion
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:22
openvdb::v7_0::math::orthonormalize
void orthonormalize(Vec2< T > &v1, Vec2< T > &v2)
Definition: Vec2.h:475
openvdb::v7_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:121
openvdb::v7_0::math::Vec2::projection
Vec2< T > projection(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:339
openvdb::v7_0::math::Vec2::operator-=
const Vec2< T > & operator-=(S scalar)
Subtract scalar from each element of this vector.
Definition: Vec2.h:306
openvdb::v7_0::math::Vec2::numColumns
static unsigned numColumns()
Definition: Vec2.h:324
openvdb::v7_0::math::Vec2::log
const Vec2< T > & log()
Definition: Vec2.h:196
openvdb::v7_0::math::Vec2::numElements
static unsigned numElements()
Definition: Vec2.h:325
openvdb::v7_0::math::Vec2::length
T length() const
Length of the vector.
Definition: Vec2.h:176
openvdb::v7_0::math::Vec2::div
const Vec2< T > & div(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:164
openvdb::v7_0::math::Vec2::Vec2
Vec2(T x, T y)
Constructor with two arguments, e.g. Vec2f v(1,2,3);.
Definition: Vec2.h:36
openvdb::v7_0::math::Vec2::operator-=
const Vec2< T > & operator-=(const Vec2< S > &v1)
Subtract each element of the given vector from the corresponding element of this vector.
Definition: Vec2.h:315
openvdb::v7_0::math::Vec2::operator/=
const Vec2< T > & operator/=(const Vec2< S > &v1)
Divide each element of this vector by the corresponding element of the given vector.
Definition: Vec2.h:279
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v7_0::math::Tuple< 2, T >::mm
T mm[SIZE]
Definition: Tuple.h:170
openvdb::v7_0::math::operator/
Vec2< typename promote< T0, T1 >::type > operator/(const Vec2< T0 > &v0, const Vec2< T1 > &v1)
Divide corresponding elements of v0 and v1 and return the result.
Definition: Vec2.h:400
openvdb::v7_0::math::Vec2::operator()
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec2.h:80
openvdb::v7_0::math::Vec2::component
T component(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:329
openvdb::v7_0::math::Log
Vec2< T > Log(Vec2< T > v)
Return a vector with log applied to each of the components of the input vector.
Definition: Vec2.h:527
openvdb::v7_0::tools::composite::max
const std::enable_if<!VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:106
openvdb::v7_0::math::Vec2::operator()
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec2.h:77
openvdb::v7_0::math::Vec2::operator+=
const Vec2< T > & operator+=(const Vec2< S > &v1)
Add each element of the given vector to the corresponding element of this vector.
Definition: Vec2.h:297
openvdb::v7_0::math::Vec2::setZero
const Vec2< T > & setZero()
Set "this" vector to zero.
Definition: Vec2.h:94
openvdb::v7_0::math::Vec2::unitSafe
Vec2< T > unitSafe() const
return normalized this, or (1, 0) if this is null vector
Definition: Vec2.h:244
openvdb::v7_0::math::Vec2::numRows
static unsigned numRows()
Definition: Vec2.h:323
openvdb::v7_0::math::Vec2::x
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec2.h:73
openvdb::v7_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:653
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:154
openvdb::v7_0::math::Vec2::Vec2
Vec2(Source *a)
Constructor with array argument, e.g. float a[2]; Vec2f v(a);.
Definition: Vec2.h:44
openvdb::v7_0::math::Vec2::y
T & y()
Definition: Vec2.h:70
openvdb::v7_0::math::Vec2::value_type
T value_type
Definition: Vec2.h:26
openvdb::v7_0::math::Vec2::operator-
Vec2< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec2.h:128
openvdb::v7_0::math::Vec2::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec2.h:69
openvdb::v7_0::math::operator-
Vec2< typename promote< S, T >::type > operator-(const Vec2< T > &v, S scalar)
Subtract scalar from each element of the given vector and return the result.
Definition: Vec2.h:435
openvdb::v7_0::tools::composite::min
const std::enable_if<!VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:102
openvdb::v7_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:522
openvdb::v7_0::math::Vec2::product
T product() const
Return the product of all the vector components.
Definition: Vec2.h:210
openvdb::v7_0::math::Vec2::unit
Vec2< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec2.h:227
openvdb::v7_0::math::Vec2::operator*=
const Vec2< T > & operator*=(const Vec2< S > &v1)
Multiply each element of this vector by the corresponding element of the given vector.
Definition: Vec2.h:261
openvdb::v7_0::math::Vec2::operator=
const Vec2< T > & operator=(const Vec2< Source > &v)
Assignment operator.
Definition: Vec2.h:102
openvdb::v7_0::math::Vec2::operator+=
const Vec2< T > & operator+=(S scalar)
Add scalar to each element of this vector.
Definition: Vec2.h:288
openvdb::v7_0::math::angle
T angle(const Vec2< T > &v1, const Vec2< T > &v2)
Definition: Vec2.h:445
openvdb::v7_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:512
openvdb::v7_0::math::isExactlyEqual
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:388
openvdb::v7_0::math::Vec2::Vec2
Vec2(const Tuple< 2, Source > &t)
Conversion constructor.
Definition: Vec2.h:52
openvdb::v7_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_VERSION_NAME
#define OPENVDB_VERSION_NAME
Definition: version.h:108
openvdb::v7_0::math::Vec2::operator*=
const Vec2< T > & operator*=(S scalar)
Multiply each element of this vector by scalar.
Definition: Vec2.h:252
openvdb::v7_0::math::Abs
Vec2< T > Abs(const Vec2< T > &v)
Definition: Vec2.h:467
openvdb::v7_0::math::operator*
Vec2< typename promote< T0, T1 >::type > operator*(const Vec2< T0 > &v0, const Vec2< T1 > &v1)
Multiply corresponding elements of v0 and v1 and return the result.
Definition: Vec2.h:376
openvdb::v7_0::math::Vec2::operator==
bool operator==(const Vec2< T > &v) const
Equality operator, does exact floating point comparisons.
Definition: Vec2.h:112
openvdb::v7_0::math::Vec2::sum
T sum() const
Return the sum of all the vector components.
Definition: Vec2.h:204
openvdb
Definition: Exceptions.h:13
openvdb::v7_0::math::Vec2::exp
const Vec2< T > & exp()
Definition: Vec2.h:187
openvdb::v7_0::math::Vec2::Vec2
Vec2()
Trivial constructor, the vector is NOT initialized.
Definition: Vec2.h:30
openvdb::v7_0::math::Vec2::normalize
bool normalize(T eps=static_cast< T >(1.0e-8))
this = normalized this
Definition: Vec2.h:216
Tuple.h
openvdb::v7_0::math::Vec2::asPointer
const T * asPointer() const
Definition: Vec2.h:83
openvdb::v7_0::math::Vec2::add
const Vec2< T > & add(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:133
openvdb::v7_0::math::Vec2::y
T y() const
Definition: Vec2.h:74
OPENVDB_THROW
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:82
Exceptions.h
openvdb::v7_0::ArithmeticError
Definition: Exceptions.h:56