4#ifndef OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
5#define OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED
20template<
typename T>
class Mat2;
30#if OPENVDB_ABI_VERSION_NUMBER >= 8
39 explicit Vec2(T val) { this->mm[0] = this->mm[1] = val; }
49 template <
typename Source>
52 this->mm[0] =
static_cast<T
>(a[0]);
53 this->mm[1] =
static_cast<T
>(a[1]);
57 template<
typename Source>
60 this->mm[0] =
static_cast<T
>(t[0]);
61 this->mm[1] =
static_cast<T
>(t[1]);
67 template<
typename Other>
71 this->mm[0] = this->mm[1] =
static_cast<T
>(val);
75 T&
x() {
return this->mm[0];}
76 T&
y() {
return this->mm[1];}
79 T
x()
const {
return this->mm[0];}
80 T
y()
const {
return this->mm[1];}
95 this->mm[0] = x; this->mm[1] = y;
102 this->mm[0] = 0; this->mm[1] = 0;
107 template<
typename Source>
127 bool eq(
const Vec2<T> &v, T eps =
static_cast<T
>(1.0e-7))
const
138 template <
typename T0,
typename T1>
141 this->mm[0] = v1[0] + v2[0];
142 this->mm[1] = v1[1] + v2[1];
149 template <
typename T0,
typename T1>
152 this->mm[0] = v1[0] - v2[0];
153 this->mm[1] = v1[1] - v2[1];
160 template <
typename T0,
typename T1>
163 this->mm[0] = scalar * v[0];
164 this->mm[1] = scalar * v[1];
169 template <
typename T0,
typename T1>
172 this->mm[0] = v[0] / scalar;
173 this->mm[1] = v[1] / scalar;
179 T
dot(
const Vec2<T> &v)
const {
return this->mm[0]*v[0] + this->mm[1]*v[1]; }
184 return static_cast<T
>(sqrt(
double(this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1])));
189 T
lengthSqr()
const {
return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]); }
195 this->mm[0] = std::exp(this->mm[0]);
196 this->mm[1] = std::exp(this->mm[1]);
204 this->mm[0] = std::log(this->mm[0]);
205 this->mm[1] = std::log(this->mm[1]);
212 return this->mm[0] + this->mm[1];
218 return this->mm[0] * this->mm[1];
253 return l2 ? *
this/
static_cast<T
>(sqrt(l2)) :
Vec2<T>(1,0);
257 template <
typename S>
260 this->mm[0] *= scalar;
261 this->mm[1] *= scalar;
266 template <
typename S>
269 this->mm[0] *= v1[0];
270 this->mm[1] *= v1[1];
275 template <
typename S>
278 this->mm[0] /= scalar;
279 this->mm[1] /= scalar;
284 template <
typename S>
287 this->mm[0] /= v1[0];
288 this->mm[1] /= v1[1];
293 template <
typename S>
296 this->mm[0] += scalar;
297 this->mm[1] += scalar;
302 template <
typename S>
305 this->mm[0] += v1[0];
306 this->mm[1] += v1[1];
311 template <
typename S>
314 this->mm[0] -= scalar;
315 this->mm[1] -= scalar;
320 template <
typename S>
323 this->mm[0] -= v1[0];
324 this->mm[1] -= v1[1];
340 return dot(onto)*(T(1)/l);
350 return onto*(dot(onto)*(T(1)/l));
364template <
typename S,
typename T>
371template <
typename S,
typename T>
380template <
typename T0,
typename T1>
388template <
typename S,
typename T>
395template <
typename S,
typename T>
404template <
typename T0,
typename T1>
412template <
typename T0,
typename T1>
421template <
typename S,
typename T>
430template <
typename T0,
typename T1>
439template <
typename S,
typename T>
539#if OPENVDB_ABI_VERSION_NUMBER >= 8
ValueT value
Definition: GridBuilder.h:1287
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
#define OPENVDB_IS_POD(Type)
Definition: Math.h:55
Definition: Exceptions.h:56
T mm[SIZE]
Copies this tuple into an array of a compatible type.
Definition: Tuple.h:179
Vec2< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec2.h:240
Vec2(T x, T y)
Constructor with two arguments, e.g. Vec2f v(1,2,3);.
Definition: Vec2.h:42
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec2.h:75
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:68
bool normalize(T eps=static_cast< T >(1.0e-8))
this = normalized this
Definition: Vec2.h:222
const Vec2< T > & operator=(const Vec2< Source > &v)
Assignment operator.
Definition: Vec2.h:108
T length() const
Length of the vector.
Definition: Vec2.h:182
const Vec2< T > & exp()
Definition: Vec2.h:193
T sum() const
Return the sum of all the vector components.
Definition: Vec2.h:210
T component(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:335
static unsigned numColumns()
Definition: Vec2.h:330
const Vec2< T > & sub(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:150
bool operator==(const Vec2< T > &v) const
Equality operator, does exact floating point comparisons.
Definition: Vec2.h:118
T * asPointer()
Definition: Vec2.h:88
const Vec2< T > & log()
Definition: Vec2.h:202
static unsigned numRows()
Definition: Vec2.h:329
Vec2(Source *a)
Constructor with array argument, e.g. float a[2]; Vec2f v(a);.
Definition: Vec2.h:50
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:285
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:303
const Vec2< T > & operator*=(S scalar)
Multiply each element of this vector by scalar.
Definition: Vec2.h:258
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec2.h:83
T & y()
Definition: Vec2.h:76
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:321
Vec2(T val)
Construct a vector all of whose components have the given value.
Definition: Vec2.h:39
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec2.h:86
const Vec2< T > & init(T x=0, T y=0)
Definition: Vec2.h:93
T product() const
Return the product of all the vector components.
Definition: Vec2.h:216
const Vec2< T > & add(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:139
const Vec2< T > & scale(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:161
T dot(const Vec2< T > &v) const
Dot product.
Definition: Vec2.h:179
const Vec2< T > & setZero()
Set "this" vector to zero.
Definition: Vec2.h:100
const T * asPointer() const
Definition: Vec2.h:89
T lengthSqr() const
Definition: Vec2.h:189
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:127
Vec2< T > projection(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:345
static Vec2< T > ones()
Definition: Vec2.h:360
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec2.h:79
Vec2(const Tuple< 2, Source > &t)
Conversion constructor.
Definition: Vec2.h:58
const Vec2< T > & operator/=(S scalar)
Divide each element of this vector by scalar.
Definition: Vec2.h:276
T y() const
Definition: Vec2.h:80
const Vec2< T > & operator+=(S scalar)
Add scalar to each element of this vector.
Definition: Vec2.h:294
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:267
static unsigned numElements()
Definition: Vec2.h:331
Vec2()=default
Trivial constructor, the vector is NOT initialized.
const Vec2< T > & div(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:170
bool operator!=(const Vec2< T > &v) const
Inequality operator, does exact floating point comparisons.
Definition: Vec2.h:124
static Vec2< T > zero()
Predefined constants, e.g. Vec2f v = Vec2f::xNegAxis();.
Definition: Vec2.h:359
Vec2< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec2.h:233
Vec2< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec2.h:134
Vec2< T > unitSafe() const
return normalized this, or (1, 0) if this is null vector
Definition: Vec2.h:250
T ValueType
Definition: Vec2.h:27
const Vec2< T > & operator-=(S scalar)
Subtract scalar from each element of this vector.
Definition: Vec2.h:312
Vec2< T > getArbPerpendicular() const
Definition: Vec2.h:356
T value_type
Definition: Vec2.h:26
void orthonormalize(Vec2< T > &v1, Vec2< T > &v2)
Definition: Vec2.h:480
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:381
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:422
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:670
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:527
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:444
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:440
Vec2< T > maxComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec2.h:517
T angle(const Vec2< T > &v1, const Vec2< T > &v2)
Definition: Vec2.h:450
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:405
bool isApproxEqual(const Vec2< T > &a, const Vec2< T > &b, const Vec2< T > &eps)
Definition: Vec2.h:464
Vec2< T > Abs(const Vec2< T > &v)
Definition: Vec2.h:472
Vec2< T > minComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec2.h:508
Vec2< T > Log(Vec2< T > v)
Return a vector with log applied to each of the components of the input vector.
Definition: Vec2.h:532
Definition: Exceptions.h:13
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:74
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:23
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h.in:116
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h.in:202