PIMathVectorT< Size, Type > Class Template Reference

Fixed-size mathematical vector with compile-time size Provides vector operations including arithmetic, normalization, angles, cross product, and dot product. More...

#include <pimathvector.h>

Inheritance diagram for PIMathVectorT< Size, Type >:

Public Member Functions
	PIMathVectorT (const Type &v=Type())
	Constructs a vector and fills every coordinate with v.
	PIMathVectorT (const PIVector< Type > &val)
	Constructs a fixed-size vector from a dynamic one of the same size.
	PIMathVectorT (std::initializer_list< Type > init_list)
	Constructs a vector from an initializer list with exactly Size elements.
constexpr uint	size () const
	Returns the compile-time vector dimension.
_CVector &	fill (const Type &v)
	Fills all coordinates with v.
_CVector &	move (const Type &v)
	Adds v to every coordinate.
_CVector &	move (const _CVector &v)
	Adds another vector component-wise.
_CVector &	swapElements (uint f, uint s)
	Swaps two coordinates in place.
Type	lengthSqr () const
	Returns the squared Euclidean length.
Type	length () const
	Returns the Euclidean length. Available for arithmetic element types.
Type	manhattanLength () const
	Returns the Manhattan length. Available for arithmetic element types.
Type	angleCos (const _CVector &v) const
	Returns the cosine of the angle to v.
Type	angleSin (const _CVector &v) const
	Returns the sine of the angle to v.
Type	angleRad (const _CVector &v) const
	Returns the angle to v in radians.
Type	angleDeg (const _CVector &v) const
	Returns the angle to v in degrees.
Type	angleElevation (const _CVector &v) const
	Returns the elevation angle from this point to v in degrees.
_CVector	projection (const _CVector &v)
	Returns the projection of this vector onto v.
_CVector &	normalize ()
	Normalizes this vector in place.
_CVector	normalized ()
	Returns a normalized copy of this vector.
bool	isNull () const
	Returns true when all coordinates are zero.
bool	isOrtho (const _CVector &v) const
	Returns true when this vector is orthogonal to v.
Type &	operator[] (uint index)
	Returns writable access to a coordinate.
const Type &	operator[] (uint index) const
	Returns read-only access to a coordinate.
Type	at (uint index) const
	Returns a coordinate by value.
Type &	element (uint index)
	Returns writable access to a coordinate.
const Type &	element (uint index) const
	Returns read-only access to a coordinate.
_CVector &	operator= (const Type &v)
	Assigns the same value to all coordinates.
bool	operator== (const _CVector &v) const
	Compares two vectors component-wise.
bool	operator!= (const _CVector &v) const
	Returns true when vectors differ in at least one coordinate.
void	operator+= (const _CVector &v)
	Adds v component-wise.
void	operator-= (const _CVector &v)
	Subtracts v component-wise.
void	operator*= (const Type &v)
	Multiplies all coordinates by v.
void	operator/= (const Type &v)
	Divides all coordinates by v.
_CVector	operator- () const
	Returns the vector with inverted sign.
_CVector	operator+ (const _CVector &v) const
	Returns the component-wise sum with v.
_CVector	operator- (const _CVector &v) const
	Returns the component-wise difference with v.
_CVector	operator* (const Type &v) const
	Returns a copy scaled by v.
_CVector	operator/ (const Type &v) const
	Returns a copy divided by v.
_CVector	cross (const _CVector &v) const
	Returns the 3D cross product with v.
Type	dot (const _CVector &v) const
	Returns the scalar product with v.
_CVector	mul (const _CVector &v) const
	Returns the component-wise product with v.
_CVector	mul (const Type &v) const
	Returns a copy scaled by v.
_CVector	div (const _CVector &v) const
	Returns the component-wise division by v.
_CVector	div (const Type &v) const
	Returns a copy divided by v.
PIMathMatrixT< 1, Size, Type >	transposed () const
	Returns the vector as a 1 x Size matrix.
Type	distToLine (const _CVector &lp0, const _CVector &lp1)
	Returns the distance from this 2D point to the line through lp0 and lp1.
template<uint Size1, typename Type1 >
PIMathVectorT< Size1, Type1 >	turnTo () const
	Converts this vector to another dimension and element type.
template<typename T >
PIMathVectorT< Size, T >	toType () const
	Returns this vector with another element type.
template<uint SubSize>
PIMathVectorT< SubSize, Type >	subvector (int offset=0) const
	Returns a subvector starting at offset and zero-fills coordinates outside the source range.
template<uint SubSize>
PIMathVectorT< Size, Type > &	setSubvector (int index, const PIMathVectorT< SubSize, Type > &v)
	Writes v into this vector starting at index and ignores coordinates outside the destination range.

Static Public Member Functions
static _CVector	fromTwoPoints (const _CVector &st, const _CVector &fn)
	Builds the displacement vector from point st to point fn.
static _CVector	cross (const _CVector &v1, const _CVector &v2)
	Returns the cross product of v1 and v2.
static Type	dot (const _CVector &v1, const _CVector &v2)
	Returns the scalar product of v1 and v2.
static _CVector	mul (const _CVector &v1, const _CVector &v2)
	Returns the component-wise product of v1 and v2.
static _CVector	mul (const Type &v1, const _CVector &v2)
	Returns v2 scaled by v1.
static _CVector	mul (const _CVector &v1, const Type &v2)
	Returns v1 scaled by v2.
static _CVector	div (const _CVector &v1, const _CVector &v2)
	Returns the component-wise division of v1 by v2.
static _CVector	div (const _CVector &v1, const Type &v2)
	Returns v1 divided by scalar v2.

Detailed Description

template<uint Size, typename Type = double>
class PIMathVectorT< Size, Type >

Fixed-size mathematical vector with compile-time size Provides vector operations including arithmetic, normalization, angles, cross product, and dot product.