#include <Vec3.h>

Inheritance diagram for honey::Vec< 3, Real, Options >:

Collaboration diagram for honey::Vec< 3, Real, Options >:

[legend]

Public Member Functions
	Vec ()
	No init. More...

	Vec (Real x, Real y, Real z)

	Vec (Real scalar)
	Construct uniform vector. More...

	Vec (const Vec2 &v, Real z=0)
	Construct from 2D vector. More...

	Vec (const Vec4 &v)
	Construct from vector ignoring the extra components. More...

template<class T >
	Vec (const MatrixBase< T > &rhs)
	Construct from vector of same dimension. More...

template<class T >
Vec &	operator= (const MatrixBase< T > &rhs)

Vec3	cross (const Vec3 &v) const
	Vector cross product. More...

Vec3	crossUnit (const Vec3 &v) const
	Vector cross product, result is normalized unit vector. More...

tuple< Vec3, Vec3 >	orthonormalBasis () const
	Generate an orthonormal basis {u,v,this} (all unit length and perpendicular). Returns (Vec3 u, Vec3 v). This vector must be unit length. More...

Specialized for optimization
Real	lengthSqr () const

Real	dot (const Vec &v) const

Const swizzle methods
VecSwizCon2	xx () const

VecSwizCon3	xxx () const

VecSwizCon4	xxxx () const

VecSwizCon4	xxxy () const

VecSwizCon4	xxxz () const

VecSwizCon3	xxy () const

VecSwizCon4	xxyx () const

VecSwizCon4	xxyy () const

VecSwizCon4	xxyz () const

VecSwizCon3	xxz () const

VecSwizCon4	xxzx () const

VecSwizCon4	xxzy () const

VecSwizCon4	xxzz () const

VecSwizCon2	xy () const

VecSwizCon3	xyx () const

VecSwizCon4	xyxx () const

VecSwizCon4	xyxy () const

VecSwizCon4	xyxz () const

VecSwizCon3	xyy () const

VecSwizCon4	xyyx () const

VecSwizCon4	xyyy () const

VecSwizCon4	xyyz () const

VecSwizCon3	xyz () const

VecSwizCon4	xyzx () const

VecSwizCon4	xyzy () const

VecSwizCon4	xyzz () const

VecSwizCon2	xz () const

VecSwizCon3	xzx () const

VecSwizCon4	xzxx () const

VecSwizCon4	xzxy () const

VecSwizCon4	xzxz () const

VecSwizCon3	xzy () const

VecSwizCon4	xzyx () const

VecSwizCon4	xzyy () const

VecSwizCon4	xzyz () const

VecSwizCon3	xzz () const

VecSwizCon4	xzzx () const

VecSwizCon4	xzzy () const

VecSwizCon4	xzzz () const

VecSwizCon2	yx () const

VecSwizCon3	yxx () const

VecSwizCon4	yxxx () const

VecSwizCon4	yxxy () const

VecSwizCon4	yxxz () const

VecSwizCon3	yxy () const

VecSwizCon4	yxyx () const

VecSwizCon4	yxyy () const

VecSwizCon4	yxyz () const

VecSwizCon3	yxz () const

VecSwizCon4	yxzx () const

VecSwizCon4	yxzy () const

VecSwizCon4	yxzz () const

VecSwizCon2	yy () const

VecSwizCon3	yyx () const

VecSwizCon4	yyxx () const

VecSwizCon4	yyxy () const

VecSwizCon4	yyxz () const

VecSwizCon3	yyy () const

VecSwizCon4	yyyx () const

VecSwizCon4	yyyy () const

VecSwizCon4	yyyz () const

VecSwizCon3	yyz () const

VecSwizCon4	yyzx () const

VecSwizCon4	yyzy () const

VecSwizCon4	yyzz () const

VecSwizCon2	yz () const

VecSwizCon3	yzx () const

VecSwizCon4	yzxx () const

VecSwizCon4	yzxy () const

VecSwizCon4	yzxz () const

VecSwizCon3	yzy () const

VecSwizCon4	yzyx () const

VecSwizCon4	yzyy () const

VecSwizCon4	yzyz () const

VecSwizCon3	yzz () const

VecSwizCon4	yzzx () const

VecSwizCon4	yzzy () const

VecSwizCon4	yzzz () const

VecSwizCon2	zx () const

VecSwizCon3	zxx () const

VecSwizCon4	zxxx () const

VecSwizCon4	zxxy () const

VecSwizCon4	zxxz () const

VecSwizCon3	zxy () const

VecSwizCon4	zxyx () const

VecSwizCon4	zxyy () const

VecSwizCon4	zxyz () const

VecSwizCon3	zxz () const

VecSwizCon4	zxzx () const

VecSwizCon4	zxzy () const

VecSwizCon4	zxzz () const

VecSwizCon2	zy () const

VecSwizCon3	zyx () const

VecSwizCon4	zyxx () const

VecSwizCon4	zyxy () const

VecSwizCon4	zyxz () const

VecSwizCon3	zyy () const

VecSwizCon4	zyyx () const

VecSwizCon4	zyyy () const

VecSwizCon4	zyyz () const

VecSwizCon3	zyz () const

VecSwizCon4	zyzx () const

VecSwizCon4	zyzy () const

VecSwizCon4	zyzz () const

VecSwizCon2	zz () const

VecSwizCon3	zzx () const

VecSwizCon4	zzxx () const

VecSwizCon4	zzxy () const

VecSwizCon4	zzxz () const

VecSwizCon3	zzy () const

VecSwizCon4	zzyx () const

VecSwizCon4	zzyy () const

VecSwizCon4	zzyz () const

VecSwizCon3	zzz () const

VecSwizCon4	zzzx () const

VecSwizCon4	zzzy () const

VecSwizCon4	zzzz () const

Mutable swizzle methods
VecSwizRef2	xy ()

VecSwizRef3	xyz ()

VecSwizRef2	xz ()

VecSwizRef3	xzy ()

VecSwizRef2	yx ()

VecSwizRef3	yxz ()

VecSwizRef2	yz ()

VecSwizRef3	yzx ()

VecSwizRef2	zx ()

VecSwizRef3	zxy ()

VecSwizRef2	zy ()

VecSwizRef3	zyx ()

Public Member Functions inherited from honey::VecBase< Vec< 3, Real, Options > >
VecS &	fromAxis (sdt i)
	Initialize with unit axis (all zeros except for a one at index `i`) More...

VecBase &	operator= (const MatrixBase< T > &rhs)
	Assign to row or column vector of any dimension. Asserts that if this vector has a fixed dimension then it matches rhs. More...

vec::priv::Segment< VecS, Dim >::type	segment (sdt i, sdt dim=-1)
	Get segment at offset `i` with dimension `dim`. If dimension is fixed then `dim` may be left unspecified. Segments are the vector analog of matrix blocks. More...

vec::priv::Segment< const VecS, Dim >::type	segment (sdt i, sdt dim=-1) const

vec::priv::Segment< VecS >::type	segment (sdt i, sdt dim)
	Get dynamic segment at offset `i` with dimension `dim` More...

vec::priv::Segment< const VecS >::type	segment (sdt i, sdt dim) const

VecS &	resize (sdt dim)
	Sets number of dimensions and reallocates only if different. All previous data is lost on reallocation. Returns self. More...

Real	lengthSqr () const
	Get the square of the length. More...

Real	length () const
	Get length (magnitude) of vector. More...

VecS	normalize (optional< Real & > len=optnull) const
	Get unit vector. The pre-normalized length will be returned in len if specified. More...

Real	dot (const VecBase< T > &v) const
	Vector dot product. More...

Public Member Functions inherited from honey::MatrixBase< Vec< 3, Real, Options > >
MatrixS &	fromArray (const Num *a, bool rowMajor=true)
	Initialize from array. If the array is in row-major format set rowMajor to true, otherwise set to false for column-major. More...

MatrixS &	fromArray (const Real *a, bool rowMajor=true)

MatrixS &	fromZero ()
	Zero all elements. More...

MatrixS &	fromScalar (Real f)
	Initialize with scalar in every element. More...

MatrixS &	fromIdentity ()
	Make matrix identity. For non-square matrices the identity is in the upper-left square block, the rest is filled with zero. More...

matrix::Builder< MatrixS >	operator<< (T &&val)
	Initialize matrix elements from scalars and other matrices using the comma operator: Matrix() << 1, 2, vec*5 ... The number of assigned elements must total up to be the matrix size exactly. More...

MatrixBase &	operator= (const MatrixBase< T > &rhs)
	Assign to matrix of any size. Asserts that any fixed dimensions in this matrix match those in rhs. More...

Matrix	cast ()
	Convert to a matrix of another real type. More...

bool	operator== (const MatrixBase< T > &rhs) const

bool	operator!= (const MatrixBase< T > &rhs) const

bool	operator< (const MatrixBase< T > &rhs) const

bool	operator> (const MatrixBase< T > &rhs) const

bool	operator<= (const MatrixBase< T > &rhs) const

bool	operator>= (const MatrixBase< T > &rhs) const

Res &&	add (const T &rhs, Res &&res) const
	Add another matrix. Stores result in and returns res. res may reference the same matrix as this or rhs. More...

MatrixS	operator+ () const

MatrixS	operator+ (const MatrixBase< T > &rhs) const

MatrixS &	operator+= (const MatrixBase< T > &rhs)

Res &&	sub (const T &rhs, Res &&res) const
	Subtract another matrix. Stores result in and returns res. res may reference the same matrix as this or rhs. More...

MatrixS	operator- () const

MatrixS	operator- (const MatrixBase< T > &rhs) const

MatrixS &	operator-= (const MatrixBase< T > &rhs)

Res &&	mul (const T &rhs, Res &&res) const
	Multiply with another matrix. This mat's column size must match rhs' row size. Stores result in and returns res. Complexity: $O(m n\ rhs_n)$ . More...

Matrix< s_rows, T::s_cols, Real >	operator* (const T &rhs) const
	Multiply with another matrix. Returns a new matrix. More...

MatrixS	operator* (Real rhs) const

MatrixS &	operator*= (const MatrixBase< T > &rhs)

MatrixS &	operator*= (Real rhs)

MatrixS	operator/ (Real rhs) const

MatrixS &	operator/= (Real rhs)

MatrixS	elemAdd (Real rhs) const
	Add rhs to each element. Returns a new matrix with the results. More...

MatrixS &	elemAddEq (Real rhs)
	Add rhs to each element. More...

MatrixS	elemSub (Real rhs) const
	Subtract rhs from each element. Returns a new matrix with the results. More...

MatrixS &	elemSubEq (Real rhs)
	Subtract rhs from each element. More...

MatrixS	elemMul (const MatrixBase< T > &rhs) const
	Multiply each element with its corresponding element in rhs. Returns a new matrix with the results. More...

MatrixS &	elemMulEq (const MatrixBase< T > &rhs)
	Multiply each element with its corresponding element in rhs. More...

MatrixS	elemDiv (const MatrixBase< T > &rhs) const
	Divide each element by its corresponding element in rhs. Returns a new matrix with the results. More...

MatrixS &	elemDivEq (const MatrixBase< T > &rhs)
	Divide each element by its corresponding element in rhs. More...

MatrixS	elemAbs () const
	Get the absolute value of each element. Returns a new matrix with the results. More...

MatrixS	elemSqr () const
	Square each element. Returns a new matrix with the results. More...

MatrixS	elemInverse () const
	Inverse each element. Returns a new matrix with the results. More...

MatrixS	elemMin (const MatrixBase< T > &rhs) const
	Get the min of each element and its corresponding element in rhs. Returns a new matrix with the results. More...

MatrixS	elemMax (const MatrixBase< T > &rhs) const
	Get the max of each element and its corresponding element in rhs. Returns a new matrix with the results. More...

bool	isZero () const
	Check if each element is exactly zero. More...

bool	isNearZero (Real tol=Real_::zeroTol) const
	Check if each element is close to zero. More...

MatrixS	clamp (const MatrixBase< T > &min, const MatrixBase< T > &max) const
	Clamp each element between its corresponding elements in min and max. Returns a new matrix with the results. More...

Real	sum () const
	Get the sum of all elements. More...

Real	prod () const
	Get the product of all elements. More...

Real	mean () const
	Get the mean of all elements. More...

Real	min () const
	Get the minimum element. More...

Real	max () const
	Get the maximum element. More...

matrix::Block< MatrixS, Rows, Cols >	block (sdt row, sdt col, sdt rows=-1, sdt cols=-1)
	Get block at offset (row,col) with size (Rows, Cols). If Rows or Cols is fixed then `rows` or `cols` may be left unspecified. More...

matrix::Block< const MatrixS, Rows, Cols >	block (sdt row, sdt col, sdt rows=-1, sdt cols=-1) const

matrix::Block< MatrixS >	block (sdt row, sdt col, sdt rows, sdt cols)
	Get dynamic block at offset (row,col) with size (rows, cols) More...

matrix::Block< const MatrixS >	block (sdt row, sdt col, sdt rows, sdt cols) const

matrix::Block< MatrixS, 1, s_cols >	row (sdt row)
	Get row as a row vector. More...

matrix::Block< const MatrixS, 1, s_cols >	row (sdt row) const

matrix::Block< MatrixS, s_rows, 1 >	col (sdt col)
	Get column as a column vector. More...

matrix::Block< const MatrixS, s_rows, 1 >	col (sdt col) const

MatrixS &	resize (sdt rows, sdt cols)
	Sets number of rows/columns and reallocates only if the size has changed (rows*cols). All previous data is lost on reallocation. Returns self. More...

matrix::Iter< MatrixS >	begin ()
	Get an iterator over the elements in row-major order. More...

matrix::Iter< const MatrixS >	begin () const

matrix::Iter< MatrixS >	end ()
	Get an iterator to the end of the iteration provided by begin() More...

matrix::Iter< const MatrixS >	end () const

matrix::Iter< MatrixS >	iter (sdt i)
	Get an iterator to the element at index. More...

matrix::Iter< const MatrixS >	iter (sdt i) const

matrix::Iter< MatrixS >	iter (sdt row, sdt col)
	Get an iterator to the element at (row, col) More...

matrix::Iter< const MatrixS >	iter (sdt row, sdt col) const

Num *	toArray (Num *a, bool rowMajor=true) const
	Copy matrix into array. If the array is in row-major format set rowMajor to true, otherwise set to false for column-major. More...

Real *	toArray (Real *a, bool rowMajor=true) const

Res &&	transpose (Res &&res) const
	transpose and store result in res. Returns res. More...

Matrix< s_cols, s_rows, Real >	transpose () const
	Returns new matrix. More...

void	transposeInPlace ()
	transpose and store in this matrix, only valid for square matrices More...

Res &&	transposeMul (const T &rhs, Res &&res) const
	Stores result in and returns res. More...

Matrix< s_cols, T::s_cols, Real >	transposeMul (const T &rhs) const
	Returns new matrix. More...

Res &&	mulTranspose (const T &rhs, Res &&res) const
	Stores result in and returns res. More...

Matrix< s_rows, T::s_rows, Real >	mulTranspose (const T &rhs) const
	Returns new matrix. More...

Res &&	transposeMulTranspose (const T &rhs, Res &&res) const
	Stores result in and returns res. More...

Matrix< s_cols, T::s_rows, Real >	transposeMulTranspose (const T &rhs) const
	Returns new matrix. More...

auto	minor (sdt row, sdt col) const -> Matrix< (s_rows > 0)?s_rows-1:s_rows, (s_cols > 0)?s_cols-1:s_cols, Real >
	Returns a matrix without the selected row and column. More...

Matrix< s_cols, s_rows, Real >	inverse (optional< Real & > det=optnull) const
	Get the pseudo-inverse of this matrix. The pseudo-determinant will be returned in det if specified. More...

Real	determinant () const
	Get the determinant. Returns the pseudo-determinant if this matrix is not square. More...

Real	cond () const
	Get the condition value. A high value means the matrix is ill-conditioned and close to singular, so inversion and linear ops will be unreliable. More...

Static Public Member Functions
static void	orthonormalize (Vec3 &u, Vec3 &v, Vec3 &w)
	Gram-Schmidt orthonormalization. Useful for re-normalizing an orthonormal basis to eliminate rounding errors. More...

Static Public Attributes
static const Vec	zero

static const Vec	one

static const Vec	axisX

static const Vec	axisY

static const Vec	axisZ

static const Vec	axis [3]

Protected Types
typedef Vec< 2, Real >	Vec2

typedef Vec	Vec3

typedef Vec< 4, Real >	Vec4

typedef VecSwizCon< 2, Real, Options >	VecSwizCon2

typedef VecSwizCon< 3, Real, Options >	VecSwizCon3

typedef VecSwizCon< 4, Real, Options >	VecSwizCon4

typedef VecSwizRef< 2, Real, Options >	VecSwizRef2

typedef VecSwizRef< 3, Real, Options >	VecSwizRef3

Protected Types inherited from honey::VecBase< Vec< 3, Real, Options > >
typedef Alge_< Real >	Alge

Protected Types inherited from honey::MatrixBase< Vec< 3, Real, Options > >
typedef matrix::priv::Traits< Vec< 3, Real, Options > >::Storage	Storage

typedef Numeral< Real >::Real_	Real_

typedef Real_::DoubleType	Double_

typedef Double_::Real	Double

typedef Alge_< Real >	Alge

typedef Alge_< Double >	Alge_d

typedef Trig_< Real >	Trig

typedef Svd< Real >	Svd

Additional Inherited Members
Public Types inherited from honey::VecBase< Vec< 3, Real, Options > >
typedef Vec< 3, Real, Options >	VecS

typedef Numeral< Real >::Real_	Real_

Public Types inherited from honey::MatrixBase< Vec< 3, Real, Options > >
typedef Vec< 3, Real, Options >	MatrixS

typedef Vec< s_rows, Real >	VecCol

typedef Vec< s_cols, Real, matrix::Option::vecRow >	VecRow

Protected Member Functions inherited from honey::MatrixBase< Vec< 3, Real, Options > >
const Real &	m (sdt i) const
	Access matrix element at index. Wrapper for convenience only, more readable than (*this)(i) More...

Real &	m (sdt i)

const Real &	m (sdt row, sdt col) const
	Access matrix element with (row, column) More...

Real &	m (sdt row, sdt col)

MatrixS &	fromColMajor (const Num *a)

Num *	toColMajor (Num *a) const