#include "UT_API.h"
#include "UT_Assert.h"
#include "UT_FixedVectorTraits.h"
#include "UT_Storage.h"
#include "UT_FixedArrayMath.h"
#include "UT_VectorTypes.h"
#include <SYS/SYS_Deprecated.h>
#include <SYS/SYS_Math.h>
#include <SYS/SYS_Inline.h>
#include <VM/VM_SIMD.h>
#include <iosfwd>
#include <limits>
#include "UT_Matrix2.h"

Include dependency graph for UT_Vector2.h:

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Go to the source code of this file.

Classes
class	UT_Vector2T< T >
	2D Vector class. More...

class	UT_FixedVector< T, D >

struct	UT_FixedVectorTraits< UT_Vector2T< T > >

struct	SYS_IsFixedArrayNoCVRef< UT_Vector2T< T > >

struct	SYS_FixedArrayElementNoCVRef< UT_Vector2T< T > >

struct	SYS_FixedArraySizeNoCVRef< UT_Vector2T< T > >

struct	UT_Vector2TFromUnbounded< T >

struct	UT_FromUnbounded< V >
	UT_FromUnbounded creates a V from an unbounded array-like type. More...

struct	UT_FromUnbounded< UT_Vector2T< T > >

struct	UT_Vector2TFromFixed< T >

struct	UT_FromFixed< V >

struct	UT_FromFixed< UT_Vector2T< T > >

Macros
#define	__UT_Vector2_h__

Functions
template<typename T >
constexpr UT_Vector2T< T >	operator+ (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T >
constexpr UT_Vector2T< T >	operator- (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T >
constexpr bool	operator< (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T >
constexpr bool	operator<= (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T >
constexpr bool	operator> (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T >
constexpr bool	operator>= (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2) noexcept

template<typename T , typename S >
UT_Vector2T< T >	operator+ (const UT_Vector2T< T > &v, S scalar)

template<typename T , typename S >
UT_Vector2T< T >	operator- (const UT_Vector2T< T > &v, S scalar)

template<typename T , typename S >
UT_Vector2T< T >	operator* (const UT_Vector2T< T > &v, S scalar)

template<typename T , typename S >
UT_Vector2T< T >	operator/ (const UT_Vector2T< T > &v, S scalar)

template<typename T , typename S >
UT_Vector2T< T >	operator+ (S scalar, const UT_Vector2T< T > &v)

template<typename T , typename S >
UT_Vector2T< T >	operator- (S scalar, const UT_Vector2T< T > &v)

template<typename T , typename S >
constexpr UT_Vector2T< T >	operator* (S scalar, const UT_Vector2T< T > &v) noexcept

template<typename T , typename S >
UT_Vector2T< T >	operator/ (S scalar, const UT_Vector2T< T > &v)

template<typename T , typename S >
UT_Vector2T< T >	operator* (const UT_Vector2T< T > &v, const UT_Matrix2T< S > &mat)

template<typename T >
constexpr auto	dot (const UT_Vector2T< T > &a, const UT_Vector2T< T > &b) noexcept
	The dot product. More...

template<typename T >
T	cross (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)
	Cross product, which for 2d vectors results in a fpreal. More...

template<typename T >
UT_Vector2T< T >	SYSmin (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)
	Componentwise min and maximum. More...

template<typename T >
UT_Vector2T< T >	SYSmax (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)

template<typename T , typename S >
bool	SYSisEqual (const UT_Vector2T< T > &a, const UT_Vector2T< T > &b, S tol=SYS_FTOLERANCE)
	Componentwise equality. More...

template<typename T >
bool	SYSisInteger (const UT_Vector2T< T > &v1)
	Componentwise integer test. More...

template<typename T , typename S >
UT_Vector2T< T >	SYSlerp (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2, S t)
	Componentwise linear interpolation. More...

template<typename T >
UT_Vector2T< T >	SYSinvlerp (const UT_Vector2T< T > &a, const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)
	Componentwise inverse linear interpolation. More...

template<typename T , typename S >
UT_Vector2T< T >	SYSbilerp (const UT_Vector2T< T > &u0v0, const UT_Vector2T< T > &u1v0, const UT_Vector2T< T > &u0v1, const UT_Vector2T< T > &u1v1, S u, S v)
	Bilinear interpolation. More...

template<typename T , typename S >
UT_Vector2T< T >	SYSbarycentric (const UT_Vector2T< T > &v0, const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2, S u, S v)
	Barycentric interpolation. More...

template<typename T >
UT_Vector2T< T >	project (const UT_Vector2T< T > &u, const UT_Vector2T< T > &v)
	The orthogonal projection of a vector u onto a vector v. More...

template<typename T >
T	distance2d (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)

template<typename T >
int	UTinverseBilerp (const UT_Vector2T< T > &input, const UT_Vector2T< T > &p0, const UT_Vector2T< T > &du, const UT_Vector2T< T > &dv, const UT_Vector2T< T > &duv, UT_Vector2T< T > outputs[2])

template<typename T >
UT_Vector2T< T >	operator* (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)

template<typename T >
UT_Vector2T< T >	operator/ (const UT_Vector2T< T > &v1, const UT_Vector2T< T > &v2)

template<typename T >
UT_Vector2T< T >	SYSabs (const UT_Vector2T< T > &v)

template<>
UT_Vector2T< float >	rowVecMult (const UT_Vector2T< float > &v, const UT_Matrix2T< float > &m)

template<>
UT_Vector2T< float >	colVecMult (const UT_Matrix2T< float > &m, const UT_Vector2T< float > &v)

template<typename T >
size_t	hash_value (const UT_Vector2T< T > &val)

template<typename T >
UT_API size_t	format (char *buffer, size_t buffer_size, const UT_Vector2T< T > &v)

template<typename TS >
constexpr UT_Vector2T < SYS_FixedArrayElement_t< TS > >	UTmakeVector2T (const TS &as) noexcept


template<typename T , typename S >
UT_Vector2T< T >	rowVecMult (const UT_Vector2T< T > &v, const UT_Matrix2T< S > &m)

template<typename T , typename S >
UT_Vector2T< T >	colVecMult (const UT_Matrix2T< S > &m, const UT_Vector2T< T > &v)

Macro Definition Documentation

#define __UT_Vector2_h__

Definition at line 21 of file UT_Vector2.h.

Function Documentation

template<typename T , typename S >

UT_Vector2T< T > colVecMult	(	const UT_Matrix2T< S > &	m,
		const UT_Vector2T< T > &	v
	)

inline

Multiplication of a row or column vector by a matrix (ie. right vs. left multiplication respectively). The operator*() declared above is an alias for rowVecMult().

Definition at line 720 of file UT_Vector2.h.

template<>

UT_Vector2T<float> colVecMult	(	const UT_Matrix2T< float > &	m,
		const UT_Vector2T< float > &	v
	)

inline

Definition at line 726 of file UT_Vector2.h.

template<typename T >

T cross	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Cross product, which for 2d vectors results in a fpreal.

Definition at line 640 of file UT_Vector2.h.

template<typename T >

T distance2d	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Definition at line 739 of file UT_Vector2.h.

template<typename T >

constexpr auto dot	(	const UT_Vector2T< T > &	a,
		const UT_Vector2T< T > &	b
	)

noexcept

The dot product.

Definition at line 634 of file UT_Vector2.h.

template<typename T >

UT_API size_t format	(	char *	buffer,
		size_t	buffer_size,
		const UT_Vector2T< T > &	v
	)

template<typename T >

size_t hash_value ( const UT_Vector2T< T > & val )

inline

Definition at line 745 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator*	(	const UT_Vector2T< T > &	v,
		S	scalar
	)

inline

Definition at line 613 of file UT_Vector2.h.

template<typename T , typename S >

constexpr UT_Vector2T< T > operator*	(	S	scalar,
		const UT_Vector2T< T > &	v
	)

noexcept

Definition at line 618 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator*	(	const UT_Vector2T< T > &	v,
		const UT_Matrix2T< S > &	mat
	)

inline

Definition at line 734 of file UT_Vector2.h.

template<typename T >

UT_Vector2T<T> operator*	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Definition at line 563 of file UT_Vector2.h.

template<typename T >

constexpr UT_Vector2T< T > operator+	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Definition at line 553 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator+	(	const UT_Vector2T< T > &	v,
		S	scalar
	)

inline

Definition at line 593 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator+	(	S	scalar,
		const UT_Vector2T< T > &	v
	)

inline

Definition at line 598 of file UT_Vector2.h.

template<typename T >

constexpr UT_Vector2T< T > operator-	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Definition at line 558 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator-	(	const UT_Vector2T< T > &	v,
		S	scalar
	)

inline

Definition at line 603 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator-	(	S	scalar,
		const UT_Vector2T< T > &	v
	)

inline

Definition at line 608 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator/	(	const UT_Vector2T< T > &	v,
		S	scalar
	)

inline

Definition at line 623 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > operator/	(	S	scalar,
		const UT_Vector2T< T > &	v
	)

inline

Definition at line 628 of file UT_Vector2.h.

template<typename T >

UT_Vector2T<T> operator/	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Definition at line 568 of file UT_Vector2.h.

template<typename T >

constexpr bool operator<	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Lexicographic order comparison operators

Definition at line 573 of file UT_Vector2.h.

template<typename T >

constexpr bool operator<=	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Definition at line 578 of file UT_Vector2.h.

template<typename T >

constexpr bool operator>	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Definition at line 583 of file UT_Vector2.h.

template<typename T >

constexpr bool operator>=	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

noexcept

Definition at line 588 of file UT_Vector2.h.

template<typename T >

UT_Vector2T< T > project	(	const UT_Vector2T< T > &	u,
		const UT_Vector2T< T > &	v
	)

inline

The orthogonal projection of a vector u onto a vector v.

Definition at line 700 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > rowVecMult	(	const UT_Vector2T< T > &	v,
		const UT_Matrix2T< S > &	m
	)

inline

Multiplication of a row or column vector by a matrix (ie. right vs. left multiplication respectively). The operator*() declared above is an alias for rowVecMult().

Definition at line 705 of file UT_Vector2.h.

template<>

UT_Vector2T<float> rowVecMult	(	const UT_Vector2T< float > &	v,
		const UT_Matrix2T< float > &	m
	)

inline

Definition at line 711 of file UT_Vector2.h.

template<typename T >

UT_Vector2T<T> SYSabs ( const UT_Vector2T< T > & v )

inline

Definition at line 646 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T<T> SYSbarycentric	(	const UT_Vector2T< T > &	v0,
		const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2,
		S	u,
		S	v
	)

inline

Barycentric interpolation.

Definition at line 111 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T<T> SYSbilerp	(	const UT_Vector2T< T > &	u0v0,
		const UT_Vector2T< T > &	u1v0,
		const UT_Vector2T< T > &	u0v1,
		const UT_Vector2T< T > &	u1v1,
		S	u,
		S	v
	)

inline

Bilinear interpolation.

Definition at line 105 of file UT_Vector2.h.

template<typename T >

UT_Vector2T< T > SYSinvlerp	(	const UT_Vector2T< T > &	a,
		const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Componentwise inverse linear interpolation.

Definition at line 690 of file UT_Vector2.h.

template<typename T , typename S >

bool SYSisEqual	(	const UT_Vector2T< T > &	a,
		const UT_Vector2T< T > &	b,
		S	tol = `SYS_FTOLERANCE`
	)

inline

Componentwise equality.

Examples:: DM/DM_ObjectPathHook.C.

Definition at line 674 of file UT_Vector2.h.

template<typename T >

bool SYSisInteger ( const UT_Vector2T< T > & v1 )

inline

Componentwise integer test.

Definition at line 93 of file UT_Vector2.h.

template<typename T , typename S >

UT_Vector2T< T > SYSlerp	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2,
		S	t
	)

inline

Componentwise linear interpolation.

Definition at line 681 of file UT_Vector2.h.

template<typename T >

UT_Vector2T< T > SYSmax	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Definition at line 664 of file UT_Vector2.h.

template<typename T >

UT_Vector2T< T > SYSmin	(	const UT_Vector2T< T > &	v1,
		const UT_Vector2T< T > &	v2
	)

inline

Componentwise min and maximum.

Definition at line 654 of file UT_Vector2.h.

template<typename T >

int UTinverseBilerp	(	const UT_Vector2T< T > &	input,
		const UT_Vector2T< T > &	p0,
		const UT_Vector2T< T > &	du,
		const UT_Vector2T< T > &	dv,
		const UT_Vector2T< T > &	duv,
		UT_Vector2T< T >	outputs[2]
	)

Given a 2D position, input, and a 2D quad, (p0, p0+du, p0+du+dv+duv, p0+dv), finds the 0, 1, or 2 locations in the parameter space of that quad that correspond with the input position. Only parameter locations approximately between 0 and 1 are accepted. The return value is the number of accepted parameter locations.

template<typename TS >

constexpr UT_Vector2T< SYS_FixedArrayElement_t< TS > > UTmakeVector2T ( const TS & as )

noexcept

Definition at line 824 of file UT_Vector2.h.

Classes

Macros

Functions

Macro Definition Documentation

Function Documentation