31 #ifndef OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED 32 #define OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED 40 #include <type_traits> 48 template<
typename T>
class Mat3;
51 class Vec4:
public Tuple<4, T>
61 explicit Vec4(T val) { this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = val; }
73 template <
typename Source>
83 template<
typename Source>
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]);
95 template<
typename Other>
99 this->mm[0] = this->mm[1] = this->mm[2] = this->mm[3] = static_cast<T>(val);
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]; }
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]; }
130 this->mm[0] = x; this->mm[1] = y; this->mm[2] = z; this->mm[3] = w;
137 this->mm[0] = 0; this->mm[1] = 0; this->mm[2] = 0; this->mm[3] = 0;
142 template<
typename Source>
156 bool eq(
const Vec4<T> &v, T eps = static_cast<T>(1.0e-8))
const 176 template <
typename T0,
typename T1>
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];
190 template <
typename T0,
typename T1>
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];
203 template <
typename T0,
typename T1>
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];
214 template <
typename T0,
typename T1>
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;
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]);
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]);
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]);
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]);
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]);
276 return this->mm[0] + this->mm[1] + this->mm[2] + this->mm[3];
282 return this->mm[0] * this->mm[1] * this->mm[2] * this->mm[3];
317 return l2 ? *
this / static_cast<T>(sqrt(l2)) :
Vec4<T>(1, 0, 0, 0);
321 template <
typename S>
324 this->mm[0] *= scalar;
325 this->mm[1] *= scalar;
326 this->mm[2] *= scalar;
327 this->mm[3] *= scalar;
332 template <
typename S>
335 this->mm[0] *= v1[0];
336 this->mm[1] *= v1[1];
337 this->mm[2] *= v1[2];
338 this->mm[3] *= v1[3];
344 template <
typename S>
347 this->mm[0] /= scalar;
348 this->mm[1] /= scalar;
349 this->mm[2] /= scalar;
350 this->mm[3] /= scalar;
355 template <
typename S>
358 this->mm[0] /= v1[0];
359 this->mm[1] /= v1[1];
360 this->mm[2] /= v1[2];
361 this->mm[3] /= v1[3];
366 template <
typename S>
369 this->mm[0] += scalar;
370 this->mm[1] += scalar;
371 this->mm[2] += scalar;
372 this->mm[3] += scalar;
377 template <
typename S>
380 this->mm[0] += v1[0];
381 this->mm[1] += v1[1];
382 this->mm[2] += v1[2];
383 this->mm[3] += v1[3];
388 template <
typename S>
391 this->mm[0] -= scalar;
392 this->mm[1] -= scalar;
393 this->mm[2] -= scalar;
394 this->mm[3] -= scalar;
399 template <
typename S>
402 this->mm[0] -= v1[0];
403 this->mm[1] -= v1[1];
404 this->mm[2] -= v1[2];
405 this->mm[3] -= v1[3];
421 template <
typename T0,
typename T1>
432 template <
typename T0,
typename T1>
436 template <
typename S,
typename T>
441 template <
typename S,
typename T>
450 template <
typename T0,
typename T1>
461 template <
typename S,
typename T>
471 template <
typename S,
typename T>
480 template <
typename T0,
typename T1>
484 result(v0[0]/v1[0], v0[1]/v1[1], v0[2]/v1[2], v0[3]/v1[3]);
489 template <
typename T0,
typename T1>
498 template <
typename S,
typename T>
507 template <
typename T0,
typename T1>
516 template <
typename S,
typename T>
524 template <
typename T>
530 template <
typename T>
553 template <
typename T>
564 template <
typename T>
576 template <
typename T>
581 template <
typename T>
593 #endif // OPENVDB_MATH_VEC4_HAS_BEEN_INCLUDED 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
static unsigned numRows()
Definition: Vec4.h:410
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec4.h:121
T lengthSqr() const
Definition: Vec4.h:245
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
T dot(const Vec4< T > &v) const
Dot product.
Definition: Vec4.h:226
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
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
Vec4< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec4.h:297
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec4.h:118
const Vec4< T > & log()
Definition: Vec4.h:264
static Vec4< T > zero()
Predefined constants, e.g. Vec4f v = Vec4f::xNegAxis();.
Definition: Vec4.h:415
static Vec4< T > ones()
Definition: Vec4.h:417
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:395
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec4.h:103
Vec3< T > getVec3() const
Returns a Vec3 with the first three elements of the Vec4.
Definition: Vec4.h:124
Vec4()
Trivial constructor, the vector is NOT initialized.
Definition: Vec4.h:58
const Vec4< T > & div(T0 scalar, const Vec4< T1 > &v)
Definition: Vec4.h:215
T & w()
Definition: Vec4.h:106
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:49
Vec4(Source *a)
Constructor with array argument, e.g. float a[4]; Vec4f v(a);.
Definition: Vec4.h:74
const Vec4< T > & setZero()
Set "this" vector to zero.
Definition: Vec4.h:135
T w() const
Definition: Vec4.h:112
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
Vec4< T > minComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec4.h:554
T z() const
Definition: Vec4.h:111
Vec4< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec4.h:165
bool normalize(T eps=static_cast< T >(1.0e-8))
this = normalized this
Definition: Vec4.h:286
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
const T * asPointer() const
Definition: Vec4.h:115
bool operator!=(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Inequality operator, does exact floating point comparisons.
Definition: Vec4.h:433
static unsigned numElements()
Definition: Vec4.h:412
Vec4< T > Abs(const Vec4< T > &v)
Definition: Vec4.h:542
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h:136
Vec4< T > maxComponent(const Vec4< T > &v1, const Vec4< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec4.h:565
T y() const
Definition: Vec4.h:110
const Vec4< T > & operator+=(S scalar)
Add scalar to each element of this vector.
Definition: Vec4.h:367
bool isApproxEqual(const Vec4< T > &a, const Vec4< T > &b, const Vec4< T > &eps)
Definition: Vec4.h:532
Definition: Exceptions.h:40
T * asPointer()
Definition: Vec4.h:114
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec4.h:109
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
T product() const
Return the product of all the vector components.
Definition: Vec4.h:280
static unsigned numColumns()
Definition: Vec4.h:411
MatType scale(const Vec3< typename MatType::value_type > &s)
Return a matrix that scales by s.
Definition: Mat.h:647
Vec4< T > unitSafe() const
return normalized this, or (1, 0, 0, 0) if this is null vector
Definition: Vec4.h:314
const Vec4< T > & operator-=(S scalar)
Subtract scalar from each element of this vector.
Definition: Vec4.h:389
const Vec4< T > & init(T x=0, T y=0, T z=0, T w=0)
Definition: Vec4.h:128
static Vec4< T > origin()
Definition: Vec4.h:416
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
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
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
const Vec4< T > & scale(T0 scale, const Vec4< T1 > &v)
Definition: Vec4.h:204
T & z()
Definition: Vec4.h:105
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
T sum() const
Return the sum of all the vector components.
Definition: Vec4.h:274
const Vec4< T > & operator/=(S scalar)
Divide each element of this vector by scalar.
Definition: Vec4.h:345
T value_type
Definition: Vec4.h:54
const Vec4< T > & operator=(const Vec4< Source > &v)
Assignment operator.
Definition: Vec4.h:143
bool operator==(const Vec4< T0 > &v0, const Vec4< T1 > &v1)
Equality operator, does exact floating point comparisons.
Definition: Vec4.h:422
T ValueType
Definition: Vec4.h:55
const Vec4< T > & add(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:177
const Vec4< T > & sub(const Vec4< T0 > &v1, const Vec4< T1 > &v2)
Definition: Vec4.h:191
bool eq(const Vec4< T > &v, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec4.h:156
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
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:188
T length() const
Length of the vector.
Definition: Vec4.h:233
Vec4(T val)
Construct a vector all of whose components have the given value.
Definition: Vec4.h:61
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
const Vec4< T > & exp()
Definition: Vec4.h:253
T & y()
Definition: Vec4.h:104
Vec4(const Tuple< 4, Source > &v)
Conversion constructor.
Definition: Vec4.h:84
Definition: Exceptions.h:83
Vec4< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec4.h:304