tgen::geometry::point< T >

Point on the plane. More...

Public Member Functions
	point (T x=0, T y=0)
	Constructs a point.
T	x () const
	x coordinate.
T	y () const
	y coordinate.
bool	operator< (const point &p) const
	Lexicographic order.
bool	operator== (const point &p) const
	Coordinate-wise equality.
point	operator+ (const point &p) const
	Vector addition.
point	operator- (const point &p) const
	Vector subtraction.
point	operator* (T c) const
	Scalar multiplication.
product_t	operator* (const point &p) const
	Dot product.
product_t	operator^ (const point &p) const
	Cross product.

Friends
std::ostream &	operator<< (std::ostream &out, const point &p)
	Prints the coordinates separated by a space.

Detailed Description

template<typename T>
struct tgen::geometry::point< T >

Point on the plane.

Template Parameters

T	Arithmetic coordinate type (int, double, ...).

Dot and cross products return product_t, widened to avoid overflow: __int128 when T is long long, long long for other integral T, and T for floating-point T.

For floating-point T, operator== and lexicographic operator< compare coordinates with tolerance 1e-9.

Definition at line 6393 of file tgen.h.

Constructor & Destructor Documentation

point()

template<typename T>

tgen::geometry::point< T >::point ( T x = 0, T y = 0 )

inline

Constructs a point.

Parameters

x	x-coordinate.
y	y-coordinate.

Definition at line 6407 of file tgen.h.

Member Function Documentation

operator*() [1/2]

template<typename T>

product_t tgen::geometry::point< T >::operator* ( const point< T > & p ) const

inline

Dot product.

Returns

The dot product as product_t (__int128 for point<long long>, long long for other integral T, T for floating-point).

Definition at line 6451 of file tgen.h.

operator*() [2/2]

template<typename T>

point tgen::geometry::point< T >::operator* ( T c ) const

inline

Scalar multiplication.

Parameters

c

Scalar.

Definition at line 6448 of file tgen.h.

operator+()

template<typename T>

point tgen::geometry::point< T >::operator+ ( const point< T > & p ) const

inline

Vector addition.

Returns

The sum of the vectors.

Examples

tgen::geometry::point<int> a(1, 2), b(3, 4);
std::cout << a + b << std::endl;

Definition at line 6438 of file tgen.h.

operator-()

template<typename T>

point tgen::geometry::point< T >::operator- ( const point< T > & p ) const

inline

Vector subtraction.

Returns

The subtraction of the vectors.

Examples

tgen::geometry::point<int> a(1, 2), b(3, 4);
std::cout << a - b << std::endl;

Definition at line 6443 of file tgen.h.

operator<()

template<typename T>

bool tgen::geometry::point< T >::operator< ( const point< T > & p ) const

inline

Lexicographic order.

For floating-point coordinates, x_ values within 1e-9 are treated as equal before comparing y_.

Definition at line 6426 of file tgen.h.

operator==()

template<typename T>

bool tgen::geometry::point< T >::operator== ( const point< T > & p ) const

inline

Coordinate-wise equality.

For floating-point coordinates, two values are equal when their difference is at most 1e-9 in absolute value.

Definition at line 6433 of file tgen.h.

operator^()

template<typename T>

product_t tgen::geometry::point< T >::operator^ ( const point< T > & p ) const

inline

Cross product.

Returns

The signed magnitude of the cross product as product_t (__int128 for point<long long>, long long for other integral T, T for floating-point).

Definition at line 6458 of file tgen.h.

x()

template<typename T>

T tgen::geometry::point< T >::x ( ) const

inline

x coordinate.

Examples

tgen::geometry::point<int> p(3, 4);
std::cout << p.x() << std::endl; // Prints "3".

Definition at line 6410 of file tgen.h.

y()

template<typename T>

T tgen::geometry::point< T >::y ( ) const

inline

y coordinate.

Examples

tgen::geometry::point<int> p(3, 4);
std::cout << p.y() << std::endl; // Prints "4".

Definition at line 6413 of file tgen.h.

Friends And Related Symbol Documentation

operator<<

template<typename T>

std::ostream & operator<< ( std::ostream & out, const point< T > & p )

friend

Prints the coordinates separated by a space.

Examples

tgen::geometry::point<int> p(3, 4);
std::cout << p << std::endl; // Prints "3 4".

Definition at line 6465 of file tgen.h.

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The documentation for this struct was generated from the following files:

• /home/runner/work/tgen_vs_jngen/tgen_vs_jngen/vendor/tgen/single_include/tgen.h
• geometry.dox