4 #ifndef OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED 5 #define OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED 12 #include <type_traits> 20 template<
typename T>
class Mat2;
35 explicit Vec2(T val) { this->mm[0] = this->mm[1] = val; }
45 template <
typename Source>
48 this->mm[0] =
static_cast<T
>(a[0]);
49 this->mm[1] =
static_cast<T
>(a[1]);
53 template<
typename Source>
56 this->mm[0] =
static_cast<T
>(t[0]);
57 this->mm[1] =
static_cast<T
>(t[1]);
63 template<
typename Other>
67 this->mm[0] = this->mm[1] =
static_cast<T
>(val);
71 T&
x() {
return this->mm[0];}
72 T&
y() {
return this->mm[1];}
75 T
x()
const {
return this->mm[0];}
76 T
y()
const {
return this->mm[1];}
91 this->mm[0] = x; this->mm[1] = y;
98 this->mm[0] = 0; this->mm[1] = 0;
103 template<
typename Source>
123 bool eq(
const Vec2<T> &v, T eps = static_cast<T>(1.0e-7))
const 134 template <
typename T0,
typename T1>
137 this->mm[0] = v1[0] + v2[0];
138 this->mm[1] = v1[1] + v2[1];
145 template <
typename T0,
typename T1>
148 this->mm[0] = v1[0] - v2[0];
149 this->mm[1] = v1[1] - v2[1];
156 template <
typename T0,
typename T1>
159 this->mm[0] = scalar * v[0];
160 this->mm[1] = scalar * v[1];
165 template <
typename T0,
typename T1>
168 this->mm[0] = v[0] / scalar;
169 this->mm[1] = v[1] / scalar;
175 T
dot(
const Vec2<T> &v)
const {
return this->mm[0]*v[0] + this->mm[1]*v[1]; }
180 return static_cast<T
>(sqrt(
double(this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1])));
185 T
lengthSqr()
const {
return (this->mm[0]*this->mm[0] + this->mm[1]*this->mm[1]); }
191 this->mm[0] = std::exp(this->mm[0]);
192 this->mm[1] = std::exp(this->mm[1]);
200 this->mm[0] = std::log(this->mm[0]);
201 this->mm[1] = std::log(this->mm[1]);
208 return this->mm[0] + this->mm[1];
214 return this->mm[0] * this->mm[1];
249 return l2 ? *
this/
static_cast<T
>(sqrt(l2)) :
Vec2<T>(1,0);
253 template <
typename S>
256 this->mm[0] *= scalar;
257 this->mm[1] *= scalar;
262 template <
typename S>
265 this->mm[0] *= v1[0];
266 this->mm[1] *= v1[1];
271 template <
typename S>
274 this->mm[0] /= scalar;
275 this->mm[1] /= scalar;
280 template <
typename S>
283 this->mm[0] /= v1[0];
284 this->mm[1] /= v1[1];
289 template <
typename S>
292 this->mm[0] += scalar;
293 this->mm[1] += scalar;
298 template <
typename S>
301 this->mm[0] += v1[0];
302 this->mm[1] += v1[1];
307 template <
typename S>
310 this->mm[0] -= scalar;
311 this->mm[1] -= scalar;
316 template <
typename S>
319 this->mm[0] -= v1[0];
320 this->mm[1] -= v1[1];
336 return dot(onto)*(T(1)/l);
346 return onto*(dot(onto)*(T(1)/l));
360 template <
typename S,
typename T>
367 template <
typename S,
typename T>
376 template <
typename T0,
typename T1>
384 template <
typename S,
typename T>
391 template <
typename S,
typename T>
400 template <
typename T0,
typename T1>
408 template <
typename T0,
typename T1>
417 template <
typename S,
typename T>
426 template <
typename T0,
typename T1>
435 template <
typename S,
typename T>
445 template <
typename T>
452 template <
typename T>
458 template <
typename T>
475 template <
typename T>
503 template <
typename T>
512 template <
typename T>
522 template <
typename T>
527 template <
typename T>
544 #endif // OPENVDB_MATH_VEC2_HAS_BEEN_INCLUDED Vec2< T > unitSafe() const
return normalized this, or (1, 0) if this is null vector
Definition: Vec2.h:246
const Vec2< T > & operator+=(S scalar)
Add scalar to each element of this vector.
Definition: Vec2.h:290
Vec2< T > unit(T eps=0) const
return normalized this, throws if null vector
Definition: Vec2.h:229
static unsigned numRows()
Definition: Vec2.h:325
Vec2< T > minComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise minimum of the two vectors.
Definition: Vec2.h:504
T lengthSqr() const
Definition: Vec2.h:185
static Vec2< T > ones()
Definition: Vec2.h:356
const Vec2< T > & operator=(const Vec2< Source > &v)
Assignment operator.
Definition: Vec2.h:104
T * asPointer()
Definition: Vec2.h:84
T component(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:331
#define OPENVDB_THROW(exception, message)
Definition: Exceptions.h:74
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
bool normalize(T eps=static_cast< T >(1.0e-8))
this = normalized this
Definition: Vec2.h:218
bool isExactlyEqual(const T0 &a, const T1 &b)
Return true if a is exactly equal to b.
Definition: Math.h:443
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:401
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:377
bool operator==(const Vec2< T > &v) const
Equality operator, does exact floating point comparisons.
Definition: Vec2.h:114
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:436
Definition: Exceptions.h:56
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:418
T operator()(int i) const
Alternative indexed constant reference to the elements,.
Definition: Vec2.h:82
const Vec2< T > & setZero()
Set "this" vector to zero.
Definition: Vec2.h:96
const Vec2< T > & init(T x=0, T y=0)
Definition: Vec2.h:89
T y() const
Definition: Vec2.h:76
Vec2< T > Log(Vec2< T > v)
Return a vector with log applied to each of the components of the input vector.
Definition: Vec2.h:528
T & y()
Definition: Vec2.h:72
static unsigned numColumns()
Definition: Vec2.h:326
Vec2< T > projection(const Vec2< T > &onto, T eps=static_cast< T >(1.0e-8)) const
Definition: Vec2.h:341
T sum() const
Return the sum of all the vector components.
Definition: Vec2.h:206
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:64
void orthonormalize(Vec2< T > &v1, Vec2< T > &v2)
Definition: Vec2.h:476
const Vec2< T > & log()
Definition: Vec2.h:198
Vec2(T x, T y)
Constructor with two arguments, e.g. Vec2f v(1,2,3);.
Definition: Vec2.h:38
T angle(const Vec2< T > &v1, const Vec2< T > &v2)
Definition: Vec2.h:446
Vec2(T val)
Construct a vector all of whose components have the given value.
Definition: Vec2.h:35
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:523
const Vec2< T > & sub(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:146
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec2.h:71
const Vec2< T > & operator*=(S scalar)
Multiply each element of this vector by scalar.
Definition: Vec2.h:254
T product() const
Return the product of all the vector components.
Definition: Vec2.h:212
T ValueType
Definition: Vec2.h:27
const T * asPointer() const
Definition: Vec2.h:85
const Vec2< T > & operator/=(S scalar)
Divide each element of this vector by scalar.
Definition: Vec2.h:272
T dot(const Vec2< T > &v) const
Dot product.
Definition: Vec2.h:175
T x() const
Get the component, e.g. float f = v.y();.
Definition: Vec2.h:75
Definition: Exceptions.h:13
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:299
const Vec2< T > & operator-=(S scalar)
Subtract scalar from each element of this vector.
Definition: Vec2.h:308
bool isApproxEqual(const Vec2< T > &a, const Vec2< T > &b, const Vec2< T > &eps)
Definition: Vec2.h:460
const Vec2< T > & div(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:166
const Vec2< T > & exp()
Definition: Vec2.h:189
Vec2(const Tuple< 2, Source > &t)
Conversion constructor.
Definition: Vec2.h:54
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:123
Vec2< T > maxComponent(const Vec2< T > &v1, const Vec2< T > &v2)
Return component-wise maximum of the two vectors.
Definition: Vec2.h:513
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:648
static unsigned numElements()
Definition: Vec2.h:327
T value_type
Definition: Vec2.h:26
static Vec2< T > zero()
Predefined constants, e.g. Vec2f v = Vec2f::xNegAxis();.
Definition: Vec2.h:355
T & operator()(int i)
Alternative indexed reference to the elements.
Definition: Vec2.h:79
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:317
bool operator!=(const Vec2< T > &v) const
Inequality operator, does exact floating point comparisons.
Definition: Vec2.h:120
T length() const
Length of the vector.
Definition: Vec2.h:178
Vec2< T > getArbPerpendicular() const
Definition: Vec2.h:352
const Vec2< T > & add(const Vec2< T0 > &v1, const Vec2< T1 > &v2)
Definition: Vec2.h:135
Vec2(Source *a)
Constructor with array argument, e.g. float a[2]; Vec2f v(a);.
Definition: Vec2.h:46
T mm[SIZE]
Definition: Tuple.h:164
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:263
Vec2< T > operator-() const
Negation operator, for e.g. v1 = -v2;.
Definition: Vec2.h:130
#define OPENVDB_VERSION_NAME
The version namespace name for this library version.
Definition: version.h.in:121
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:281
const Vec2< T > & scale(T0 scalar, const Vec2< T1 > &v)
Definition: Vec2.h:157
Vec2< T > Abs(const Vec2< T > &v)
Definition: Vec2.h:468
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h.in:212
Vec2< T > unit(T eps, T &len) const
return normalized this and length, throws if null vector
Definition: Vec2.h:236
#define OPENVDB_IS_POD(Type)
Definition: Math.h:56
Dummy class for tag dispatch of conversion constructors.
Definition: Tuple.h:23