hi::v1::vector3 Class Reference

#include <hikogui/geometry/vector3.hpp>

Public Types
using	array_type = simd<float, 4>
using	value_type = array_type::value_type

Public Member Functions
constexpr	vector3 (vector3 const &) noexcept=default
constexpr	vector3 (vector3 &&) noexcept=default
constexpr vector3 &	operator= (vector3 const &) noexcept=default
constexpr vector3 &	operator= (vector3 &&) noexcept=default
constexpr	vector3 (vector2 const &other) noexcept
	Construct a vector from a lower dimension vector.
constexpr	operator vector2 () noexcept
	Construct a vector from a higher dimension vector.
constexpr	operator array_type () const noexcept
	Convert a vector to its array_type-nummeric_array.
constexpr	vector3 (array_type const &other) noexcept
	Construct a vector from a array_type-simd.
constexpr	vector3 () noexcept
	Construct a empty vector / zero length.
constexpr	vector3 (float x, float y, float z=0.0f) noexcept
	Construct a 3D vector from x, y and z elements.
constexpr float &	x () noexcept
	Access the x element from the vector.
constexpr float &	y () noexcept
	Access the y element from the vector.
constexpr float &	z () noexcept
	Access the z element from the vector.
constexpr float	x () const noexcept
	Access the x element from the vector.
constexpr float	y () const noexcept
	Access the y element from the vector.
constexpr float	z () const noexcept
	Access the z element from the vector.
constexpr vector3	operator- () const noexcept
	Mirror this vector.
constexpr vector3 &	operator+= (vector3 const &rhs) noexcept
constexpr vector3 &	operator-= (vector3 const &rhs) noexcept
constexpr vector3 &	operator*= (float const &rhs) noexcept
constexpr bool	holds_invariant () const noexcept
	Check if the vector is valid.

Friends
constexpr friend vector3	operator+ (vector3 const &lhs, vector3 const &rhs) noexcept
	Add two vectors from each other.
constexpr friend vector3	operator- (vector3 const &lhs, vector3 const &rhs) noexcept
	Subtract two vectors from each other.
constexpr friend vector3	operator* (vector3 const &lhs, float const &rhs) noexcept
	Scale the vector by a scaler.
constexpr friend vector3	operator* (float const &lhs, vector3 const &rhs) noexcept
	Scale the vector by a scaler.
constexpr friend bool	operator== (vector3 const &lhs, vector3 const &rhs) noexcept
	Compare if two vectors are equal.
constexpr friend float	squared_hypot (vector3 const &rhs) noexcept
	Get the squared length of the vector.
float	hypot (vector3 const &rhs) noexcept
	Get the length of the vector.
constexpr friend float	rcp_hypot (vector3 const &rhs) noexcept
	Get the length of the vector.
constexpr friend vector3	normalize (vector3 const &rhs) noexcept
	Normalize a vector to a unit vector.
constexpr friend float	dot (vector3 const &lhs, vector3 const &rhs) noexcept
	Get the dot product between two vectors.
constexpr friend vector3	normal (vector3 const &rhs, float angle) noexcept
	Get the normal on a 3D vector.
constexpr friend vector3	cross (vector3 const &lhs, vector3 const &rhs) noexcept
	Get the cross product between two 3D vectors.
constexpr vector3	min (vector3 const &lhs, vector3 const &rhs) noexcept
	Mix the two vectors and get the lowest value of each element.
constexpr vector3	max (vector3 const &lhs, vector3 const &rhs) noexcept
	Mix the two vectors and get the highest value of each element.
constexpr vector3	round (vector3 const &rhs) noexcept
	Round the elements of the vector toward nearest integer.
constexpr vector3	ceil (vector3 const &rhs) noexcept
	Round the elements of the vector toward upward and to the right.
constexpr vector3	floor (vector3 const &rhs) noexcept
	Round the elements of the vector toward downward and to the left.
std::string	to_string (vector3 const &rhs) noexcept
std::ostream &	operator<< (std::ostream &lhs, vector3 const &rhs) noexcept

Detailed Description

A high-level geometric vector Part of the high-level vector, point, mat and color types.

A vector, for both 2D or 3D is internally represented as a 4D homogeneous vector. Which can be efficiently implemented as a __m128 SSE register.

Constructor & Destructor Documentation

vector3() [1/4]

constexpr hi::v1::vector3::vector3 ( vector2 const & other )

inlineconstexprnoexcept

Construct a vector from a lower dimension vector.

vector3() [2/4]

constexpr hi::v1::vector3::vector3 ( array_type const & other )

inlineexplicitconstexprnoexcept

Construct a vector from a array_type-simd.

vector3() [3/4]

constexpr hi::v1::vector3::vector3 ( )

inlineconstexprnoexcept

Construct a empty vector / zero length.

vector3() [4/4]

constexpr hi::v1::vector3::vector3 ( float x, float y, float z = 0.0f )

inlineconstexprnoexcept

Construct a 3D vector from x, y and z elements.

Parameters

x	The x element.
y	The y element.
z	The z element.

Member Function Documentation

holds_invariant()

constexpr bool hi::v1::vector3::holds_invariant ( ) const

inlineconstexprnoexcept

Check if the vector is valid.

This function will check if w is zero, and with 2D vector is z is zero.

operator array_type()

constexpr hi::v1::vector3::operator array_type ( ) const

inlineexplicitconstexprnoexcept

Convert a vector to its array_type-nummeric_array.

operator vector2()

constexpr hi::v1::vector3::operator vector2 ( )

inlineexplicitconstexprnoexcept

Construct a vector from a higher dimension vector.

This will clear the values in the higher dimensions.

operator-()

constexpr vector3 hi::v1::vector3::operator- ( ) const

inlineconstexprnoexcept

Mirror this vector.

Returns

The mirrored vector.

x() [1/2]

constexpr float hi::v1::vector3::x ( ) const

inlineconstexprnoexcept

Access the x element from the vector.

Returns

a reference to the x element.

x() [2/2]

constexpr float & hi::v1::vector3::x ( )

inlineconstexprnoexcept

Access the x element from the vector.

Returns

a reference to the x element.

y() [1/2]

constexpr float hi::v1::vector3::y ( ) const

inlineconstexprnoexcept

Access the y element from the vector.

Returns

a reference to the y element.

y() [2/2]

constexpr float & hi::v1::vector3::y ( )

inlineconstexprnoexcept

Access the y element from the vector.

Returns

a reference to the y element.

z() [1/2]

constexpr float hi::v1::vector3::z ( ) const

inlineconstexprnoexcept

Access the z element from the vector.

Returns

a reference to the z element.

z() [2/2]

constexpr float & hi::v1::vector3::z ( )

inlineconstexprnoexcept

Access the z element from the vector.

Returns

a reference to the z element.

Friends And Related Symbol Documentation

ceil

constexpr vector3 ceil ( vector3 const & rhs )

friend

Round the elements of the vector toward upward and to the right.

cross

constexpr friend vector3 cross ( vector3 const & lhs, vector3 const & rhs )

friend

Get the cross product between two 3D vectors.

Parameters

lhs	The first vector.
rhs	The second vector.

Returns

A vector that is perpendicular to the given vectors.

dot

constexpr friend float dot ( vector3 const & lhs, vector3 const & rhs )

friend

Get the dot product between two vectors.

Parameters

lhs	The first vector.
rhs	The second vector.

Returns

The dot product from the two given vectors.

floor

constexpr vector3 floor ( vector3 const & rhs )

friend

Round the elements of the vector toward downward and to the left.

hypot

float hypot ( vector3 const & rhs )

friend

Get the length of the vector.

Parameters

rhs	The vector.

Returns

The length of the vector.

max

constexpr vector3 max ( vector3 const & lhs, vector3 const & rhs )

friend

Mix the two vectors and get the highest value of each element.

Parameters

lhs	The first vector.
rhs	The first vector.

Returns

A vector that points the most right of both vectors, and most upward of both vectors.

min

constexpr vector3 min ( vector3 const & lhs, vector3 const & rhs )

friend

Mix the two vectors and get the lowest value of each element.

Parameters

lhs	The first vector.
rhs	The first vector.

Returns

A vector that points the most left of both vectors, and most downward of both vectors.

normal

constexpr friend vector3 normal ( vector3 const & rhs, float angle )

friend

Get the normal on a 3D vector.

Parameters

rhs	The vector.
angle	The angle around the vector, only value_type{0} is implemented (xy-plane)

Returns

A normal on the vector.

normalize

constexpr friend vector3 normalize ( vector3 const & rhs )

friend

Normalize a vector to a unit vector.

Parameters

rhs	The vector.

Returns

A vector with the same direction as the given vector, but its length is 1.0.

operator* [1/2]

constexpr friend vector3 operator* ( float const & lhs, vector3 const & rhs )

friend

Scale the vector by a scaler.

Parameters

lhs	The vector to scale.
rhs	The scaling factor.

Returns

The scaled vector.

operator* [2/2]

constexpr friend vector3 operator* ( vector3 const & lhs, float const & rhs )

friend

Scale the vector by a scaler.

Parameters

lhs	The vector to scale.
rhs	The scaling factor.

Returns

The scaled vector.

operator+

constexpr friend vector3 operator+ ( vector3 const & lhs, vector3 const & rhs )

friend

Add two vectors from each other.

Parameters

lhs	The first vector.
rhs	The second vector.

Returns

A new vector.

operator-

constexpr friend vector3 operator- ( vector3 const & lhs, vector3 const & rhs )

friend

Subtract two vectors from each other.

Parameters

lhs	The first vector.
rhs	The second vector.

Returns

A new vector.

operator==

constexpr friend bool operator== ( vector3 const & lhs, vector3 const & rhs )

friend

Compare if two vectors are equal.

Parameters

lhs	The first vector.
rhs	The second vector.

Returns

True if both vectors are completely equal to each other.

rcp_hypot

constexpr friend float rcp_hypot ( vector3 const & rhs )

friend

Get the length of the vector.

Parameters

rhs	The vector.

Returns

One over the length of the vector.

round

constexpr vector3 round ( vector3 const & rhs )

friend

Round the elements of the vector toward nearest integer.

squared_hypot

constexpr friend float squared_hypot ( vector3 const & rhs )

friend

Get the squared length of the vector.

Parameters

rhs	The vector.

Returns

The length of the vector.

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The documentation for this class was generated from the following file:

• hikogui/src/hikogui/geometry/vector3.hpp