Geometry Structure and Algorithm.

Geometry Structure

class IGeometry

所有平面几何类型的公共抽象基类

Subclassed by aidi::geometry::Arc2f, aidi::geometry::Arc2i, aidi::geometry::Circle2f, aidi::geometry::Circle2i, aidi::geometry::Line2f, aidi::geometry::Line2i, aidi::geometry::LineString2f, aidi::geometry::LineString2i, aidi::geometry::MultiPoint2f, aidi::geometry::MultiPoint2i, aidi::geometry::MultiPolygon2f, aidi::geometry::MultiPolygon2i, aidi::geometry::Point2f, aidi::geometry::Point2i, aidi::geometry::Polygon2f, aidi::geometry::Polygon2i, aidi::geometry::Radian, aidi::geometry::Ray2f, aidi::geometry::Ray2i, aidi::geometry::Rect2f, aidi::geometry::Rect2i, aidi::geometry::Ring2f, aidi::geometry::Ring2i, aidi::geometry::RotateRect2f, aidi::geometry::RotateRect2i, aidi::geometry::Segment2f, aidi::geometry::Segment2i, aidi::geometry::Size2f, aidi::geometry::Size2i, aidi::geometry::Vector2f, aidi::geometry::Vector2i

Public Types

enum GeometryType

Geometry enum value.

Values:

enumerator kRadian = 0

enumerator kSize2f = 2

enumerator kSize2i = 3

enumerator kPoint2f = 4

enumerator kPoint2i = 5

enumerator kVector2f = 6

enumerator kVector2i = 7

enumerator kSegment2f = 8

enumerator kSegment2i = 9

enumerator kLine2f = 10

enumerator kLine2i = 11

enumerator kRay2f = 12

enumerator kRay2i = 13

enumerator kRing2f = 14

enumerator kRing2i = 15

enumerator kRect2f = 16

enumerator kRect2i = 17

enumerator kPolygon2f = 18

enumerator kPolygon2i = 19

enumerator kRotateRect2f = 20

enumerator kRotateRect2i = 21

enumerator kArc2f = 22

enumerator kArc2i = 23

enumerator kCircle2f = 24

enumerator kCircle2i = 25

enumerator kLineString2f = 26

enumerator kLineString2i = 27

enumerator kMultiPoint2f = 28

enumerator kMultiPoint2i = 29

enumerator kMultiPolygon2f = 30

enumerator kMultiPolygon2i = 31

Public Functions

virtual GeometryType type() const = 0

几何类型.

Returns:

GeometryType

const char *type_name() const

获取几何类型的名称

Returns:

const char*

struct Radian : public aidi::geometry::IGeometry

Can easily get the degree of the radian conversion.

Public Functions

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

explicit Radian(float radian = 0)

Construct a new Radian object.

Parameters:

radian – Radian.

bool operator==(const Radian &rhs) const

Check if two Radian are equal.

Parameters:

rhs – Other Radian.

Returns:

true if two Radian are equal.

Radian operator-() const

Get negative Radian.

Returns:

Radian negative Radian.

float degree() const

Get the degree of the radian conversion.

Returns:

NO_DISCARD float degree.

Radian &from_degree(float degree)

Set the radian of the degree conversion.

Parameters:

degree – Degree.

Returns:

Radian& reference to this object.

Public Members

float radian

Radian data.

struct Vector2f : public aidi::geometry::IGeometry

浮点型向量

表示从原点(0,0)出发的一个具有大小和方向的浮点型向量.

Public Types

using Elem = float

Element type.

using Point = Point2f

向量对应的同类型浮点型点

Public Functions

Vector2f() = default

Default constructor,no initialization.

Vector2f(const Elem &x, const Elem &y)

Constructor to set two values.

explicit Vector2f(const Point &rhs)

Constructor to set a Point.

Vector2f operator-() const

向量的取反

Vector2f operator+(const Vector2f &rhs) const

向量的加法

Vector2f operator-(const Vector2f &rhs) const

向量的减法

Vector2f operator*(const Elem &rhs) const

向量的放大

Vector2f operator/(const Elem &rhs) const

向量的缩小

Elem operator*(const Vector2f &rhs) const

向量积

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Radian azimuth() const

向量的方位角

Returns:

向量从x轴正方向向y轴正方向旋转的弧度(±π).

float length() const

向量的模

Returns:

float 向量的模长

struct Vector2i : public aidi::geometry::IGeometry

整型向量

表示从原点(0,0)出发的一个具有大小和方向的整型向量.

Public Types

using Elem = int32_t

Element type.

using Point = Point2i

向量对应的同类型整型点

Public Functions

Vector2i() = default

Default constructor,no initialization.

Vector2i(const Elem &x, const Elem &y)

Constructor to set two values.

explicit Vector2i(const Point2i &rhs)

Constructor to set a Point.

Vector2i operator-() const

向量的取反

Vector2i operator+(const Vector2i &rhs) const

向量的加法

Vector2i operator-(const Vector2i &rhs) const

向量的减法

Vector2i operator*(const Elem &rhs) const

向量的放大

Vector2i operator/(const Elem &rhs) const

向量的缩小

Elem operator*(const Vector2i &rhs) const

向量积

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Radian azimuth() const

向量的方位角

Returns:

向量从x轴正方向向y轴正方向旋转的弧度(±π).

float length() const

向量的模

Returns:

float 向量的模长

struct Point2f : public aidi::geometry::IGeometry

浮点型点

Public Types

using Elem = float

Element type.

using Vector = Vector2f

点对应的同类型向量.

using Line = Line2f

点对应的同类型直线.

Public Functions

Point2f() = default

Default constructor,no initialization.

Point2f(const Elem &x, const Elem &y)

Constructor to set two values.

explicit Point2f(const Vector &rhs)

Constructor to set a Vector.

bool operator==(const Vector &rhs) const

与同类型向量进行数值上的比较.

Point2f operator+(const Vector &rhs) const

点的平移

Point2f operator-(const Vector &rhs) const

点的平移

Point2f operator*(const Elem &rhs) const

点坐标放大

Point2f operator/(const Elem &rhs) const

点坐标缩小

Elem operator*(const Point2f &rhs) const

点积

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

struct Point2i : public aidi::geometry::IGeometry

整型点

Public Types

using Elem = int32_t

Element type.

using Vector = Vector2i

点对应的同类型向量.

using Line = Line2i

点对应的同类型直线.

Public Functions

Point2i() = default

Default constructor,no initialization.

Point2i(const Elem &x, const Elem &y)

Constructor to set two values.

explicit Point2i(const Vector &rhs)

Constructor to set a Vector.

bool operator==(const Vector &rhs) const

与同类型向量进行数值上的比较.

Point2i operator+(const Vector &rhs) const

点的平移

Point2i operator-(const Vector &rhs) const

点的平移

Point2i operator*(const Elem &rhs) const

点坐标放大

Point2i operator/(const Elem &rhs) const

点坐标缩小

Elem operator*(const Point2i &rhs) const

点积

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

struct Segment2f : public std::pair<Point2f, Point2f>, public aidi::geometry::IGeometry

浮点型线段

Public Types

using Point = Point2f

线段对应的同类型点.

using Vector = Vector2f

线段对应的同类型方向向量.

using Line = Line2f

线段对应的同类型直线.

using Elem = Point2f::Elem

Element type.

Public Functions

Segment2f(const Point &lhs, const Point &rhs)

Constructor to set two Points.

Segment2f(const Point &lhs, const Vector &direction, const float &dis)

Constructor to set Point,direction Vector and distance.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float length() const

线段长度

Line in_line() const

线段所在直线

Radian azimuth() const

线段的方位角

struct Segment2i : public std::pair<Point2i, Point2i>, public aidi::geometry::IGeometry

整型线段

Public Types

using Point = Point2i

线段对应的同类型点.

using Vector = Vector2i

线段对应的同类型方向向量.

using Line = Line2i

线段对应的同类型直线.

using Elem = Point2i::Elem

Element type.

Public Functions

Segment2i(const Point &lhs, const Point &rhs)

Constructor to set two Points.

Segment2i(const Point &lhs, const Vector &direction, const float &dis)

Constructor to set Point,direction Vector and distance.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float length() const

线段长度

Line in_line() const

线段所在直线

Radian azimuth() const

线段的方位角

struct Line2f : public aidi::geometry::IGeometry

浮点型直线

Public Types

using Point = Point2f

直线对应的同类型点.

using Segment = Segment2f

直线对应的同类型线段.

using Vector = Vector2f

直线对应的同类型方向向量.

using Elem = Point2f::Elem

Element type.

Public Functions

Line2f(const Elem &a, const Elem &b, const Elem &c)

Constructor to set ax+by+c=0.

Line2f(const Point &lhs, const Point &rhs)

Constructor to set two Points.

Line2f(const Point &lhs, const Vector &rhs)

Constructor to set Point and direction Vector.

explicit Line2f(const Segment &rhs)

Constructor to set a Segment.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point passing_point() const

直线的经过点.

优先返回y轴交点,其次返回x轴交点.

Returns:

NO_DISCARD Point

Vector direction() const

直线的方向向量.

Radian azimuth() const

直线的方位角.

struct Line2i : public aidi::geometry::IGeometry

整型直线

Public Types

using Point = Point2i

直线对应的同类型点.

using Segment = Segment2i

直线对应的同类型线段.

using Vector = Vector2i

直线对应的同类型方向向量.

using Elem = Point2f::Elem

Element type.

Public Functions

Line2i(const Elem &a, const Elem &b, const Elem &c)

Constructor to set ax+by+c=0.

Line2i(const Point &lhs, const Point &rhs)

Constructor to set two Points.

Line2i(const Point &lhs, const Vector &rhs)

Constructor to set Point and direction Vector.

explicit Line2i(const Segment &rhs)

Constructor to set a Segment.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point passing_point() const

直线的经过点.

优先返回y轴交点,其次返回x轴交点.

Returns:

NO_DISCARD Point

Vector direction() const

直线的方向向量.

Radian azimuth() const

直线的方位角.

struct Ray2f : public aidi::geometry::IGeometry

浮点型射线

Public Types

using Point = Point2f

射线对应的同类型射线.

using Vector = Vector2f

射线对应的同类型方向向量.

using Line = Line2f

射线对应的同类直线.

Public Functions

Ray2f(Point lhs, const Vector &rhs)

Constructor to set Point and direction Vector.

Ray2f(const Point &lhs, const Point &rhs)

Constructor to set two Points.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Radian azimuth() const

射线的方位角.

Line in_line() const

射线所在直线.

Public Members

Point start

射线起始点.

Vector direction

射线对应的方向向量.

struct Ray2i : public aidi::geometry::IGeometry

整型射线

Public Types

using Point = Point2i

射线对应的同类型射线.

using Vector = Vector2i

射线对应的同类型方向向量.

using Line = Line2i

射线对应的同类直线.

Public Functions

Ray2i(Point lhs, const Vector &rhs)

Constructor to set Point and direction Vector.

Ray2i(const Point &lhs, const Point &rhs)

Constructor to set two Points.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Radian azimuth() const

射线的方位角.

Line in_line() const

射线所在直线.

Public Members

Point start

射线起始点.

Vector direction

射线对应的方向向量.

struct LineString2f : public std::vector<Point2f>, public aidi::geometry::IGeometry

浮点型线

一条线被认为是一些点的集合(std::vector),且按一定顺序连接相邻两点形成折线段.

Note

线可以是自交的,但这对于某些算法会产生错误的影响.可以通过 is_simple() 检测是否自交等问题.

Public Types

using Point = Point2f

线对应的同类型点

using Rect = Rect2f

线对应的同类型矩形 envelope()

Public Functions

LineString2f() = default

Default constructor,creating an empty LineString.

LineString2f(const Point &lhs, const Point &rhs)

Constructor to set two Points.

LineString2f(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the LineString.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float length() const

折线段长度和

struct LineString2i : public std::vector<Point2i>, public aidi::geometry::IGeometry

整型线

一条线被认为是一些点的集合(std::vector),且按一定顺序形成折线段.

Note

线可以是自交的,但这对于某些算法会产生错误的影响.可以通过 is_simple() 检测是否自交等问题.

Public Types

using Point = Point2i

线对应的同类型点

using Rect = Rect2i

线对应的同类型矩形 envelope()

Public Functions

LineString2i() = default

Default constructor,creating an empty LineString.

LineString2i(const Point &lhs, const Point &rhs)

Constructor to set two Points.

LineString2i(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the LineString.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float length() const

折线段长度和

struct Ring2f : public std::vector<Point2f>, public aidi::geometry::IGeometry

浮点型环

环是一条不应自交的闭合线,即不带孔的多边形. 应遵循从x轴正方向向y轴正方向描述环上的点,开包(第一点与最后一点不同).

Public Types

using Point = Point2f

环对应的同类型点

using LineString = LineString2f

环对应的同类型线 convert()

using Rect = Rect2f

环对应的同类型矩形 envelope()

using Ring = Ring2f

用于统一与polygon的部分算法接口 convex_hull()

Public Functions

Ring2f() = default

Default constructor,creating an empty Ring.

Ring2f(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the Ring.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

环面积

float perimeter() const

环周长

struct Ring2i : public std::vector<Point2i>, public aidi::geometry::IGeometry

整型环

环是一条不应自交的闭合线,即不带孔的多边形. 应遵循从x轴正方向向y轴正方向描述环上的点,开包(第一点与最后一点不同).

Public Types

using Point = Point2i

环对应的同类型点

using LineString = LineString2i

环对应的同类型线 convert()

using Rect = Rect2i

环对应的同类型矩形 envelope()

using Ring = Ring2i

用于统一与polygon的部分算法接口 convex_hull()

Public Functions

Ring2i() = default

Default constructor,creating an empty Ring.

Ring2i(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the Ring.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

环面积

float perimeter() const

环周长

struct Size2f : public aidi::geometry::IGeometry

Specify rect or image size.

Public Types

using Elem = float

Element type.

Public Functions

Size2f(Elem w, Elem h)

Construct a new Size 2f object.

Parameters:

• w – Width (cols).

• h – Height (rows).

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Public Members

Elem h = 0.0

Width (cols) and height (rows).

struct Size2i : public aidi::geometry::IGeometry

Specify rect or image size.

Public Types

using Elem = uint32_t

Element type.

Public Functions

Size2i(Elem w, Elem h)

Construct a new Size2i object.

Parameters:

• w – Width (cols).

• h – Height (rows).

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Public Members

Elem h = 0

Width and height.

struct Rect2f : public aidi::geometry::IGeometry

浮点型矩形

有一个角为直角的平行四边形,与坐标轴平行.

Public Types

using Point = Point2f

矩形对应的同类型点

using Elem = Size2f::Elem

Element type.

using LineString = LineString2f

矩形边对应类型的线段

using Ring = Ring2f

矩形对应的同类型环 convert()

Public Functions

Rect2f() = default

Default constructor,no initialization.

Rect2f(Point min_corner, const Elem &w, const Elem &h)

矩形的最小顶点和矩形宽高描述矩形.

Rect2f(const Point &lhs, const Point &rhs)

任意对角两点描述矩形.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point xmin_ymin() const

x最小,y最小顶点,同 min_corner.

Point xmax_ymin() const

x最大,y最小顶点.

Point xmax_ymax() const

x最大,y最大顶点.

Point xmin_ymax() const

x最小,y最大顶点.

Elem area() const

矩形面积

Elem perimeter() const

矩形周长

Public Members

Point min_corner

矩形的最小顶点.

Size size

矩形的宽高.

struct Rect2i : public aidi::geometry::IGeometry

整型矩形

有一个角为直角的平行四边形,与坐标轴平行.

Public Types

using Point = Point2i

矩形对应的同类型点

using Elem = Size2i::Elem

Element type.

using LineString = LineString2i

矩形边对应类型的线段

using Ring = Ring2i

矩形对应的同类型环 convert()

Public Functions

Rect2i() = default

Default constructor,no initialization.

Rect2i(Point min_corner, const Elem &w, const Elem &h)

矩形的最小顶点和矩形宽高描述矩形.

Rect2i(const Point &lhs, const Point &rhs)

任意对角两点描述矩形.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point xmin_ymin() const

x最小,y最小顶点,同 min_corner.

Point xmax_ymin() const

x最大,y最小顶点.

Point xmax_ymax() const

x最大,y最大顶点.

Point xmin_ymax() const

x最小,y最大顶点.

Elem area() const

矩形面积

Elem perimeter() const

矩形周长

Public Members

Point min_corner

矩形的最小顶点.

Size size

矩形的宽高.

struct Polygon2f : public aidi::geometry::IGeometry

浮点型多边形

多边形由一个外环和零个或多个内环组成,内环方向与外环相反,形成带孔或不带孔的多边形. 应遵循从x轴正方向向y轴正方向描述外环上的点,开包(第一点与最后一点不同).

Public Types

using Ring = Ring2f

外环对应的同类型环

using RingList = std::vector<Ring>

内环对应的同类型环集合

using Rect = Rect2f

多边形对应的同类型矩形 envelope()

Public Functions

Polygon2f() = default

Default constructor,creating an empty Polygon.

Polygon2f(const std::initializer_list<Ring> &rhs)

Constructor taking std::initializer_list,filling the Polygon.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

多边形面积

Warning

如果内环描述不正确,如与外环相同方向,则计算面积时会重复计算内环面积. 可以通过 correct() 来修正几何图形,以得到正确的期望结果. 内环相互相切或与外环相切时仍可以得到正确的多边形面积.

float perimeter() const

多边形周长

Warning

如果内环互相相切,或与外环相切,则计算周长时会重复计算相切边长.

Public Members

Ring outer

外环,从x轴正方向向y轴正方向描述各点,开包.

RingList inners

零个或多个内环,方向与外环相反.

struct Polygon2i : public aidi::geometry::IGeometry

整型多边形

多边形由一个外环和零个或多个内环组成,内环方向与外环相反,形成带孔或不带孔的多边形. 应遵循从x轴正方向向y轴正方向描述外环上的点,开包(第一点与最后一点不同).

Public Types

using Ring = Ring2i

外环对应的同类型环

using RingList = std::vector<Ring>

内环对应的同类型环集合

using Rect = Rect2i

多边形对应的同类型矩形 envelope()

Public Functions

Polygon2i() = default

Default constructor,creating an empty Polygon.

Polygon2i(const std::initializer_list<Ring> &rhs)

Constructor taking std::initializer_list,filling the Polygon.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

多边形面积

Warning

如果内环描述不正确,如与外环相同方向,则计算面积时会重复计算内环面积. 可以通过 correct() 来修正几何图形,以得到正确的期望结果. 内环相互相切或与外环相切时仍可以得到正确的多边形面积.

float perimeter() const

多边形周长

Warning

如果内环互相相切,或与外环相切,则计算周长时会重复计算相切边长.

Public Members

Ring outer

外环,从x轴正方向向y轴正方向描述各点,开包.

RingList inners

零个或多个内环,方向与外环相反.

struct RotateRect2f : public aidi::geometry::IGeometry

浮点型旋转矩形

有一个角为直角的平行四边形,不一定与坐标轴平行.

Public Types

using Point = Point2f

旋转矩形对应的同类型点

using LineString = LineString2f

旋转矩形边对应类型的线段

using Ring = Ring2f

旋转矩形对应的同类型环 convert()

using Rect = Rect2f

旋转矩形对应的同类型矩形 envelope()

Public Functions

RotateRect2f() = default

Default constructor,no initialization.

RotateRect2f(Point min_corner, float w, float h, Radian radian = Radian())

y最小点,宽,高和方位角描述旋转矩形.

RotateRect2f(const Point &lhs, const Point &rhs)

任意对角两点描述平行矩形.

RotateRect2f(const std::initializer_list<Point> &rhs)

任意从x轴正方向向y轴正方向描述旋转矩形.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point ymin() const

y最小点,同 min_corner.

Point xmax() const

x最大点.

Point ymax() const

y最大点.

Point xmin() const

x最小点.

float area() const

旋转矩形面积

float perimeter() const

旋转矩形周长

Public Members

Point min_corner

y最小点.

Radian radian

旋转矩形y最小点以及从x轴正方向向y轴正方向临近点组成边,与x轴正方向组成的弧度.

struct RotateRect2i : public aidi::geometry::IGeometry

整型旋转矩形

有一个角为直角的平行四边形,不一定与坐标轴平行.

Public Types

using Point = Point2i

旋转矩形对应的同类型点

using LineString = LineString2i

旋转矩形边对应类型的线段

using Ring = Ring2i

旋转矩形对应的同类型环 convert()

using Rect = Rect2i

旋转矩形对应的同类型矩形 envelope()

Public Functions

RotateRect2i() = default

Default constructor,no initialization.

RotateRect2i(Point min_corner, float w, float h, Radian radian = Radian())

y最小点,宽,高和方位角描述旋转矩形.

RotateRect2i(const Point &lhs, const Point &rhs)

任意对角两点描述平行矩形.

RotateRect2i(const std::initializer_list<Point> &rhs)

任意从x轴正方向向y轴正方向描述旋转矩形.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Point ymin() const

y最小点,同 min_corner.

Point xmax() const

x最大点.

Point ymax() const

y最大点.

Point xmin() const

x最小点.

float area() const

旋转矩形面积

float perimeter() const

旋转矩形周长

Public Members

Point min_corner

y最小点.

Radian radian

旋转矩形y最小点以及从x轴正方向向y轴正方向临近点组成边,与x轴正方向组成的弧度.

struct Arc2f : public aidi::geometry::IGeometry

浮点型弧

Public Types

using Point = Point2f

弧对应的同类型点

Public Functions

Arc2f() = default

Default constructor,no initialization.

Arc2f(Point start, Point end, Point center, float radius)

从x轴正方向向y轴正方向描述弧起点,终点,对应圆心和对应半径.

Arc2f(Point start, Point end, Point center)

从x轴正方向向y轴正方向描述弧起点,终点和对应圆心.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Public Members

Point center

弧对应圆的圆心

float radius = 0

弧对应圆的半径

struct Arc2i : public aidi::geometry::IGeometry

整型弧

Public Types

using Point = Point2i

弧对应的同类型点

Public Functions

Arc2i() = default

Default constructor,no initialization.

Arc2i(Point start, Point end, Point center, float radius)

从x轴正方向向y轴正方向描述弧起点,终点,对应圆心和对应半径.

Arc2i(Point start, Point end, Point center)

从x轴正方向向y轴正方向描述弧起点,终点和对应圆心.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

Public Members

Point center

弧对应圆的圆心

float radius = 0

弧对应圆的半径

struct Circle2f : public aidi::geometry::IGeometry

浮点型圆

Public Types

using Point = Point2f

圆对应的同类型点

using Rect = Rect2f

圆对应的同类型矩形 envelope()

Public Functions

Circle2f() = default

Default constructor,no initialization.

Circle2f(Point center, float radius)

Constructor to set center and radius.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

圆面积

float perimeter() const

圆周长

Public Members

Point center

圆心

float radius = 0

半径

struct Circle2i : public aidi::geometry::IGeometry

整型圆

Public Types

using Point = Point2i

圆对应的同类型点

using Rect = Rect2i

圆对应的同类型矩形 envelope()

Public Functions

Circle2i() = default

Default constructor,no initialization.

Circle2i(Point center, float radius)

Constructor to set center and radius.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

float area() const

圆面积

float perimeter() const

圆周长

Public Members

Point center

圆心

float radius = 0

半径

struct MultiPoint2f : public std::vector<Point2f>, public aidi::geometry::IGeometry

浮点型点集

Warning

算法实现中不会清空原有数据,导致结果产生错误.

Public Functions

MultiPoint2f() = default

Default constructor,no initialization.

MultiPoint2f(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the MultiPoint.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

struct MultiPoint2i : public std::vector<Point2i>, public aidi::geometry::IGeometry

整型点集

Warning

算法实现中不会清空原有数据,导致结果产生错误.

Public Functions

MultiPoint2i() = default

Default constructor,no initialization.

MultiPoint2i(const std::initializer_list<Point> &rhs)

Constructor taking std::initializer_list,filling the MultiPoint.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

struct MultiPolygon2f : public std::vector<Polygon2f>, public aidi::geometry::IGeometry

浮点型多多边形

Warning

算法实现中不会清空原有数据,导致结果产生错误.

Public Functions

MultiPolygon2f() = default

Default constructor,no initialization.

MultiPolygon2f(const std::initializer_list<Polygon> &rhs)

Constructor taking std::initializer_list,filling the MultiPolygon.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

struct MultiPolygon2i : public std::vector<Polygon2i>, public aidi::geometry::IGeometry

整型多多边形

Warning

算法实现中不会清空原有数据,导致结果产生错误.

Public Functions

MultiPolygon2i() = default

Default constructor,no initialization.

MultiPolygon2i(const std::initializer_list<Polygon> &rhs)

Constructor taking std::initializer_list,filling the MultiPolygon.

virtual IGeometry::GeometryType type() const override

几何类型.

Returns:

GeometryType

class Matrix3f

3x3 float matrix.

Transformation matrix.

Public Functions

explicit Matrix3f(float diag = 1)

Construct a 3*3 float matrix.

The value of the principal diagonal is diag, the rest are 0.

Parameters:

diag – The principal diagonal value. If rhs is 1(As default), it will construct a identity matrix.

Matrix3f(float mat_0_0, float mat_0_1, float mat_0_2, float mat_1_0, float mat_1_1, float mat_1_2, float mat_2_0, float mat_2_1, float mat_2_2)

Construct a 3*3 float matrix.

Read parameters in first row the col order.

Matrix3f(const Matrix3f &rhs)

Deep copy constructor.

It will not share the same references as the source object.

Parameters:

rhs – other Matrix3f.

Matrix3f(Matrix3f &&rhs) noexcept

Move constructor.

Parameters:

rhs – other rvalue Matrix3f.

Matrix3f operator*(const Matrix3f &rhs) const

Matrix multiplication.

A * B = C.

Parameters:

rhs – B matrix.

Returns:

Matrix3f C matrix.

float &at(size_t row, size_t col)

Return a reference to the specified array element.

if row or col out of range, an aidi::excepts::InvalidArgument will be thrown.

Parameters:

• row – Index along the dimension 1.

• col – Index along the dimension 2.

Throws:

aidi::excepts::InvalidArgument – if row or col out of range.

Returns:

NO_DISCARD float& array element.

float at(size_t row, size_t col) const

Return the specified array element.

if row or col out of range, an aidi::excepts::InvalidArgument will be thrown.

Parameters:

• row – Index along the dimension 1.

• col – Index along the dimension 2.

Throws:

aidi::excepts::InvalidArgument – if row or col out of range.

Returns:

NO_DISCARD float array element.

enum aidi::geometry::GeoIsSampleFailType

The enumeration GeoIsSampleFailType enumerates the possible reasons for which a geometry may be found as not simple or invalid by the is_simple() and is_valid() algorithms.

Values:

enumerator kNoFailure = 0

The geometry is simple/valid.

enumerator kEmpty = 1

The geometry is empty.

enumerator kDuplicatePoints = 2

The geometry has (consecutive) duplicate points.

enumerator kSpikes = 4

The geometry contains spikes.

enumerator kSelfIntersections = 8

The geometry has self-intersections.

enumerator kPolygonOuterFailure = 16

The exterior ring of geometry is not simple/valid.

enumerator kPolygonInnersFailure = 32

The interior rings of geometry is not simple/valid.

enumerator kFewPoints = 64

The geometry has a very small number of points.

enumerator kWrongTopologicalDimension = 128

The topological dimension of the geometry is smaller than its dimension.

enumerator kInvalidCoordinate = 256

The geometry has at least one point with an invalid coordinate.

enumerator kWrongOrientation = 512

The actual orientation of the geometry is different from the one defined.

enumerator kInteriorRingsOutside = 1024

The geometry contains interior rings that lie outside the exterior ring.

enumerator kNestedInteriorRings = 2048

The geometry has nested interior rings.

Geometry algorithms

group append

几何图形的数据扩展

param lhs:

[inout] 可扩展的几何图形

param rhs:

[in] 点集或单点

LinearOrAreal	MultiPointOrPoint
LineString	点集或单点
Ring	点集或单点
Polygon	体现在外环和内环上
MultiPoint	点集或单点

Functions

void append(aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs)

void append(aidi::geometry::LineString2f &lhs, const aidi::geometry::MultiPoint2f &rhs)

void append(aidi::geometry::Ring2f &lhs, const aidi::geometry::Point2f &rhs)

void append(aidi::geometry::Ring2f &lhs, const aidi::geometry::MultiPoint2f &rhs)

void append(aidi::geometry::MultiPoint2f &lhs, const aidi::geometry::Point2f &rhs)

void append(aidi::geometry::MultiPoint2f &lhs, const aidi::geometry::MultiPoint2f &rhs)

void append(aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs)

void append(aidi::geometry::LineString2i &lhs, const aidi::geometry::MultiPoint2i &rhs)

void append(aidi::geometry::Ring2i &lhs, const aidi::geometry::Point2i &rhs)

void append(aidi::geometry::Ring2i &lhs, const aidi::geometry::MultiPoint2i &rhs)

void append(aidi::geometry::MultiPoint2i &lhs, const aidi::geometry::Point2i &rhs)

void append(aidi::geometry::MultiPoint2i &lhs, const aidi::geometry::MultiPoint2i &rhs)

group area

多边形的面积

整型矩形面积

Warning

多边形的内环方向以及数据是否遵循约定方向等会对结果产生影响.

param rhs:

多边形,矩形以及圆

Areal
Ring
Polygon
Rect
RotateRect
Circle
MultiPolygon

param rhs:

Rect2i

return:

NO_DISCARD float 浮点型面积

return:

NO_DISCARD int32_t 整型面积

Functions

float area(const aidi::geometry::Ring2f &rhs)

float area(const aidi::geometry::Polygon2f &rhs)

float area(const aidi::geometry::Rect2f &rhs)

float area(const aidi::geometry::RotateRect2f &rhs)

float area(const aidi::geometry::Circle2f &rhs)

float area(const aidi::geometry::MultiPolygon2f &rhs)

float area(const aidi::geometry::Ring2i &rhs)

float area(const aidi::geometry::Polygon2i &rhs)

float area(const aidi::geometry::RotateRect2i &rhs)

float area(const aidi::geometry::Circle2i &rhs)

float area(const aidi::geometry::MultiPolygon2i &rhs)

int32_t area(const aidi::geometry::Rect2i &rhs)

group equal_operator

向量和点之间的数值比较

param lhs:

点对应的同类型向量

param rhs:

任意类型的点

return:

true 点与向量数值上相等.

return:

false 点与向量数值上不等.

Functions

bool operator==(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Point2f &rhs)

bool operator==(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Point2i &rhs)

group addition_operator

向量+点=点

整型点+浮点型向量=浮点型点, 浮点型向量+整型点=浮点型点

param lhs:

点对应的同类型向量

param rhs:

任意类型的点

param lhs:

整型点/浮点型向量

param rhs:

浮点型向量/整型点

return:

Point 结果不改变点的类型

return:

Point2f 浮点型点

Functions

aidi::geometry::Point2f operator+(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Point2f &rhs)

aidi::geometry::Point2i operator+(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Point2i &rhs)

aidi::geometry::Point2f operator+(const aidi::geometry::Point2i &lhs, const aidi::geometry::Vector2f &rhs)

aidi::geometry::Point2f operator+(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Point2i &rhs)

group subtraction_operator

点-点=向量

浮点型-整形点=浮点型向量

整型点-浮点型点=浮点型向量

整型点-浮点型向量=浮点型点

param lhs:

被减点

param rhs:

减点

param lhs:

整型点

param rhs:

浮点型向量

param lhs:

整型点

param rhs:

浮点型点

param lhs:

浮点型点

param rhs:

整形点

return:

Point::Vector 点对应的同类型向量

return:

Point2f 浮点型点

return:

Vector2f 浮点型向量

return:

Vector2f 浮点型向量

Functions

aidi::geometry::Vector2f operator-(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

aidi::geometry::Vector2i operator-(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

aidi::geometry::Point2f operator-(const aidi::geometry::Point2i &lhs, const aidi::geometry::Vector2f &rhs)

aidi::geometry::Vector2f operator-(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2f &rhs)

aidi::geometry::Vector2f operator-(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2i &rhs)

group multiplication_operator

点和向量的放大

整型向量*浮点数=浮点型向量,浮点数*整型向量=浮点型向量

整型点*浮点数=浮点型点,浮点数*整型点=浮点型点

param lhs:

点或向量的Elem

param rhs:

任意类型的点或向量

param lhs:

整形点/浮点数

param rhs:

浮点数/整形点

param lhs:

整型向量/浮点数

param rhs:

浮点数/整型向量

return:

结果不改变点或向量的类型

return:

Point2f 浮点型点

return:

Vector2f 浮点型向量

Functions

aidi::geometry::Point2f operator*(const float &lhs, const aidi::geometry::Point2f &rhs)

aidi::geometry::Point2i operator*(const int32_t &lhs, const aidi::geometry::Point2i &rhs)

aidi::geometry::Vector2f operator*(const float &lhs, const aidi::geometry::Vector2f &rhs)

aidi::geometry::Vector2i operator*(const int32_t &lhs, const aidi::geometry::Vector2i &rhs)

aidi::geometry::Point2f operator*(const aidi::geometry::Point2i &lhs, const float &rhs)

aidi::geometry::Point2f operator*(const float &lhs, const aidi::geometry::Point2i &rhs)

aidi::geometry::Vector2f operator*(const aidi::geometry::Vector2i &lhs, const float &rhs)

aidi::geometry::Vector2f operator*(const float &lhs, const aidi::geometry::Vector2i &rhs)

group add_point

将第一个点的值加上第二个

param lhs:

被改变的任意类型的第一个点

param rhs:

同类型的第二个点不发生变化

Functions

void add_point(aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

void add_point(aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

group add_value

将一个点的坐标加上相同值

param lhs:

被改变的任意类型的点/点对应的同类型值

param rhs:

点对应的同类型值/被改变的任意类型的点

Functions

void add_value(aidi::geometry::Point2f &lhs, const float &rhs)

void add_value(aidi::geometry::Point2i &lhs, const int32_t &rhs)

group cross_product

向量积,叉积

param lhs:

任意类型的点

param rhs:

同类型的点

return:

NO_DISCARD 点对应的同类型值

Functions

float cross_product(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

int32_t cross_product(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

group divide_point

将第一个点除以第二个点

Note

注意int和float不同产生的结果.

param lhs:

被改变的任意类型的第一个点

param rhs:

同类型的第二个点不发生变化

Functions

void divide_point(aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

void divide_point(aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

group divide_value

将一个点的坐标除以点对应的同类型的值

param lhs:

被改变的任意类型的点

param rhs:

点对应的同类型值

Functions

void divide_value(aidi::geometry::Point2f &lhs, const float &rhs)

void divide_value(aidi::geometry::Point2i &lhs, const int32_t &rhs)

group dot_product

数量积,点积

param lhs:

任意类型的点或向量

param rhs:

同类型的点或向量

return:

NO_DISCARD 点或向量对应的同类型的值

Functions

float dot_product(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

int32_t dot_product(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

float dot_product(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Vector2f &rhs)

int32_t dot_product(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Vector2i &rhs)

group multiply_point

将第一个点乘以第二个点

param lhs:

被改变的任意类型的第一个点

param rhs:

同类型的第二个点不发生变化

Functions

void multiply_point(aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

void multiply_point(aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

group multiply_value

将一个点的坐标乘以相同值

param lhs:

被改变的任意类型的点

param rhs:

点对应的同类型值

Functions

void multiply_value(aidi::geometry::Point2f &lhs, const float &rhs)

void multiply_value(aidi::geometry::Point2i &lhs, const int32_t &rhs)

group subtract_point

将第一个点减去第二个点

param lhs:

被改变的任意类型的第一个点

param rhs:

同类型的第二个点不发生改变

Functions

void subtract_point(aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

void subtract_point(aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

group subtract_value

将一个点的坐标减去相同值

param lhs:

被改变的任意类型的点

param rhs:

点对应的同类型值

Functions

void subtract_value(aidi::geometry::Point2f &lhs, const float &rhs)

void subtract_value(aidi::geometry::Point2i &lhs, const int32_t &rhs)

group azimuth

线段的方位角

向量的方位角

param lhs:

任意类型的点或向量

param rhs:

同类型的点或向量

param rhs:

任意类型的向量

return:

NO_DISCARD 两点形成线段从x轴正方向向y轴正方向旋转的弧度(±𝝅)

return:

NO_DISCARD 原点(0,0)到向量所形成线段的方位角弧度(±𝝅)

Functions

aidi::geometry::Radian azimuth(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

aidi::geometry::Radian azimuth(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

aidi::geometry::Radian azimuth(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Vector2f &rhs)

aidi::geometry::Radian azimuth(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Vector2i &rhs)

aidi::geometry::Radian azimuth(const aidi::geometry::Vector2f &rhs)

aidi::geometry::Radian azimuth(const aidi::geometry::Vector2i &rhs)

group center

多边形中心,即外接平行矩形的中心

整型圆的中心

param rhs:

多边形,矩形和圆.

Areal
Ring
Polygon
Rect
RotateRect
Circle

param rhs:

整型圆

return:

NO_DISCARD 浮点型点

return:

NO_DISCARD 整型点,即圆心.

Functions

aidi::geometry::Point2f center(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Rect2f &rhs)

aidi::geometry::Point2f center(const aidi::geometry::RotateRect2f &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Circle2f &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Polygon2i &rhs)

aidi::geometry::Point2f center(const aidi::geometry::Rect2i &rhs)

aidi::geometry::Point2f center(const aidi::geometry::RotateRect2i &rhs)

aidi::geometry::Point2i center(const aidi::geometry::Circle2i &rhs)

group centroid

多边形质心

整型圆质心

param rhs:

多边形,矩形和圆

Areal
Ring
Polygon
Rect
RotateRect
Circle

param rhs:

整型圆

return:

NO_DISCARD 浮点型点

return:

NO_DISCARD 整形点,即圆心

Functions

aidi::geometry::Point2f centroid(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Rect2f &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::RotateRect2f &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Circle2f &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Polygon2i &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::Rect2i &rhs)

aidi::geometry::Point2f centroid(const aidi::geometry::RotateRect2i &rhs)

aidi::geometry::Point2i centroid(const aidi::geometry::Circle2i &rhs)

group clear

清空几何图形数据

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon
MultiPoint
MultiPolygon

Functions

void clear(aidi::geometry::LineString2f &rhs)

void clear(aidi::geometry::Ring2f &rhs)

void clear(aidi::geometry::Polygon2f &rhs)

void clear(aidi::geometry::MultiPoint2f &rhs)

void clear(aidi::geometry::MultiPolygon2f &rhs)

void clear(aidi::geometry::LineString2i &rhs)

void clear(aidi::geometry::Ring2i &rhs)

void clear(aidi::geometry::Polygon2i &rhs)

void clear(aidi::geometry::MultiPoint2i &rhs)

void clear(aidi::geometry::MultiPolygon2i &rhs)

group convert

几何图形之间的转换

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	×	×	×	×	×	×	×	√
LineString	×	√	√	√	×	×	×	×	×
Ring	×	√	√	√	×	×	×	×	×
Polygon	×	×	×	√	×	×	×	×	×
Rect	×	×	√	√	√	×	×	×	×
RotateRect	×	×	√	√	×	×	×	×	×
Arc	×	×	×	×	×	×	×	√	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

Functions

void convert(const aidi::geometry::Point2f &lhs, aidi::geometry::Point2f &rhs)

void convert(const aidi::geometry::Point2f &lhs, aidi::geometry::Point2i &rhs)

void convert(const aidi::geometry::Point2f &lhs, aidi::geometry::Vector2f &rhs)

void convert(const aidi::geometry::Point2i &lhs, aidi::geometry::Point2f &rhs)

void convert(const aidi::geometry::Point2i &lhs, aidi::geometry::Point2i &rhs)

void convert(const aidi::geometry::Point2i &lhs, aidi::geometry::Vector2i &rhs)

void convert(const aidi::geometry::LineString2f &lhs, aidi::geometry::LineString2f &rhs)

void convert(const aidi::geometry::LineString2f &lhs, aidi::geometry::Ring2f &rhs)

void convert(const aidi::geometry::LineString2f &lhs, aidi::geometry::Polygon2f &rhs)

void convert(const aidi::geometry::LineString2i &lhs, aidi::geometry::LineString2i &rhs)

void convert(const aidi::geometry::LineString2i &lhs, aidi::geometry::Ring2i &rhs)

void convert(const aidi::geometry::LineString2i &lhs, aidi::geometry::Polygon2i &rhs)

void convert(const aidi::geometry::Ring2f &lhs, aidi::geometry::LineString2f &rhs)

void convert(const aidi::geometry::Ring2f &lhs, aidi::geometry::Ring2f &rhs)

void convert(const aidi::geometry::Ring2f &lhs, aidi::geometry::Polygon2f &rhs)

void convert(const aidi::geometry::Ring2i &lhs, aidi::geometry::LineString2i &rhs)

void convert(const aidi::geometry::Ring2i &lhs, aidi::geometry::Ring2i &rhs)

void convert(const aidi::geometry::Ring2i &lhs, aidi::geometry::Polygon2i &rhs)

void convert(const aidi::geometry::Polygon2f &lhs, aidi::geometry::Polygon2f &rhs)

void convert(const aidi::geometry::Polygon2i &lhs, aidi::geometry::Polygon2i &rhs)

void convert(const aidi::geometry::Rect2f &lhs, aidi::geometry::Ring2f &rhs)

void convert(const aidi::geometry::Rect2f &lhs, aidi::geometry::Polygon2f &rhs)

void convert(const aidi::geometry::Rect2f &lhs, aidi::geometry::Rect2f &rhs)

void convert(const aidi::geometry::Rect2i &lhs, aidi::geometry::Ring2i &rhs)

void convert(const aidi::geometry::Rect2i &lhs, aidi::geometry::Polygon2i &rhs)

void convert(const aidi::geometry::Rect2i &lhs, aidi::geometry::Rect2i &rhs)

void convert(const aidi::geometry::RotateRect2f &lhs, aidi::geometry::Ring2f &rhs)

void convert(const aidi::geometry::RotateRect2f &lhs, aidi::geometry::Polygon2f &rhs)

void convert(const aidi::geometry::RotateRect2i &lhs, aidi::geometry::Ring2i &rhs)

void convert(const aidi::geometry::RotateRect2i &lhs, aidi::geometry::Polygon2i &rhs)

void convert(const aidi::geometry::Arc2f &lhs, aidi::geometry::Circle2f &rhs)

void convert(const aidi::geometry::Arc2i &lhs, aidi::geometry::Circle2i &rhs)

group convex_hull

多边形的凸包

Note

新的凸包将以x最小的点为起点,从x轴正方向向y轴正方向顺序排列.

param lhs:

多边形

param rhs:

Areal
Ring
Polygon

Functions

void convex_hull(const aidi::geometry::Ring2f &lhs, aidi::geometry::Ring2f &rhs)

void convex_hull(const aidi::geometry::Ring2i &lhs, aidi::geometry::Ring2i &rhs)

void convex_hull(const aidi::geometry::Polygon2f &lhs, aidi::geometry::Ring2f &rhs)

void convex_hull(const aidi::geometry::Polygon2i &lhs, aidi::geometry::Ring2i &rhs)

group return_convex_hull

多边形的凸包

See also

convex_hull()

Functions

aidi::geometry::Ring2f return_convex_hull(const aidi::geometry::Ring2f &lhs)

aidi::geometry::Ring2i return_convex_hull(const aidi::geometry::Ring2i &lhs)

aidi::geometry::Ring2f return_convex_hull(const aidi::geometry::Polygon2f &lhs)

aidi::geometry::Ring2i return_convex_hull(const aidi::geometry::Polygon2i &lhs)

group correct

修正多边形的约定顺序和约定开闭包形式

param rhs:

多边形

Areal
Ring
Polygon

Functions

void correct(aidi::geometry::Ring2f &rhs)

void correct(aidi::geometry::Ring2i &rhs)

void correct(aidi::geometry::Polygon2f &rhs)

void correct(aidi::geometry::Polygon2i &rhs)

group return_correct

修正多边形的约定顺序和约定开闭包形式

See also

correct()

Functions

aidi::geometry::Ring2f return_correct(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Ring2i return_correct(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Polygon2f return_correct(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::Polygon2i return_correct(const aidi::geometry::Polygon2i &rhs)

group covered_by

第一个几何图形是否被第二个几何图形覆盖

The difference with the within algorithm is that this algorithm checks the border by default.

See also

within()

Note

边界有交集仍然会被认为是覆盖.

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	√	×
LineString	×	√	√	√	√	√	×	×	×
Ring	×	×	√	√	√	√	×	×	×
Polygon	×	×	√	√	√	√	×	×	×
Rect	×	×	√	√	√	√	×	×	×
RotateRect	×	×	√	√	√	√	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	√	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD bool

Functions

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::Point2f &lhs, const aidi::geometry::Circle2f &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::Point2i &lhs, const aidi::geometry::Circle2i &rhs)

bool covered_by(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool covered_by(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool covered_by(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool covered_by(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool covered_by(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool covered_by(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool covered_by(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool covered_by(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool covered_by(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool covered_by(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool covered_by(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

bool covered_by(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

group crosses

第一个线是否穿过第二个几何图形

See also

covered_by()

Note

如果没能穿过边界,则会被视为覆盖.

param lhs:

线

param rhs:

几何图形

Geometry
Point
LineString
Ring
Polygon
Rect
RotateRect
Circle

return:

NO_DISCARD bool

Functions

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool crosses(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Circle2f &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool crosses(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Circle2i &rhs)

group difference

多边形之间的差集

Note

算法并不会清空MultiPolygon中已有的数据,而是将结果添加进MultiPolygon.

Warning

对于整型几何图形的差集结果存在交点为浮点型时,会产生一定的问题.

param lhs:

多边形,矩形

param rhs:

多边形,矩形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	×	×	×	×	×	×	×	×	×
LineString	×	×	×	×	×	×	×	×	×
Ring	×	×	√	√	√	√	×	×	×
Polygon	×	×	√	√	√	√	×	×	×
Rect	×	×	√	√	√	√	×	×	×
RotateRect	×	×	√	√	√	√	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

param result:

多多边形,多边形之间的差集.

Functions

void difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void difference(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void difference(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

group discrete_frechet_distance

线之间的frechet距离

几何图形之间最大的最短距离,用于描述相似度.

param lhs:

线

param rhs:

同类型的线

return:

NO_DISCARD float

Functions

float discrete_frechet_distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

float discrete_frechet_distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

group disjoint

几何图形是否相离

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	√	×
LineString	√	√	√	√	√	√	×	√	×
Ring	√	√	√	√	√	√	×	√	×
Polygon	√	√	√	√	√	√	×	√	×
Rect	√	√	√	√	√	√	×	√	×
RotateRect	√	√	√	√	√	√	×	√	×
Arc	×	×	×	×	×	×	×	×	×
Circle	√	√	√	√	√	√	×	√	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD bool

Functions

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::Point2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::Point2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Point2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::LineString2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Ring2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Rect2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool disjoint(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Point2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::LineString2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Ring2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Rect2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool disjoint(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

bool disjoint(const aidi::geometry::Line2f &lhs, const aidi::geometry::Line2f &rhs)

bool disjoint(const aidi::geometry::Line2i &lhs, const aidi::geometry::Line2i &rhs)

group distance

几何图形之间的距离

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	√	×
LineString	√	√	√	√	√	√	×	√	×
Ring	√	√	√	√	√	√	×	√	×
Polygon	√	√	√	√	√	√	×	√	×
Rect	√	√	√	√	√	√	×	√	×
RotateRect	√	√	√	√	√	√	×	√	×
Arc	×	×	×	×	×	×	×	×	×
Circle	√	√	√	√	√	√	×	√	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD float

Functions

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::Point2f &lhs, const aidi::geometry::Line2f &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::Point2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Circle2i &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Point2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::LineString2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Ring2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Polygon2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Rect2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::RotateRect2f &rhs)

float distance(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Point2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::LineString2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Ring2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Polygon2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Rect2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::RotateRect2i &rhs)

float distance(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

group envelope

最小外接矩形

param lhs:

线或多边形

param rhs:

线或多边形的最小外接矩形

LinearOrAreal
LineString
Ring
Polygon
RotateRect

Functions

void envelope(const aidi::geometry::LineString2f &lhs, aidi::geometry::Rect2f &rhs)

void envelope(const aidi::geometry::Ring2f &lhs, aidi::geometry::Rect2f &rhs)

void envelope(const aidi::geometry::Polygon2f &lhs, aidi::geometry::Rect2f &rhs)

void envelope(const aidi::geometry::RotateRect2f &lhs, aidi::geometry::Rect2f &rhs)

void envelope(const aidi::geometry::LineString2i &lhs, aidi::geometry::Rect2i &rhs)

void envelope(const aidi::geometry::Ring2i &lhs, aidi::geometry::Rect2i &rhs)

void envelope(const aidi::geometry::Polygon2i &lhs, aidi::geometry::Rect2i &rhs)

void envelope(const aidi::geometry::RotateRect2i &lhs, aidi::geometry::Rect2i &rhs)

group return_envelope

最小外接矩形

See also

envelope()

Functions

aidi::geometry::Rect2f return_envelope(const aidi::geometry::LineString2f &rhs)

aidi::geometry::Rect2f return_envelope(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Rect2f return_envelope(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::Rect2f return_envelope(const aidi::geometry::RotateRect2f &rhs)

aidi::geometry::Rect2i return_envelope(const aidi::geometry::LineString2i &rhs)

aidi::geometry::Rect2i return_envelope(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Rect2i return_envelope(const aidi::geometry::Polygon2i &rhs)

aidi::geometry::Rect2i return_envelope(const aidi::geometry::RotateRect2i &rhs)

group equals

几何图形是否相等

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	×	×	×	×	×	×	×	√
LineString	×	√	×	×	×	×	×	×	×
Ring	×	×	√	√	√	√	×	×	×
Polygon	×	×	√	√	√	√	×	×	×
Rect	×	×	√	√	√	√	×	×	×
RotateRect	×	×	√	√	√	√	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	√	×
Vector	√	×	×	×	×	×	×	×	√

return:

NO_DISCARD bool

Functions

bool equals(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

bool equals(const aidi::geometry::Point2f &lhs, const aidi::geometry::Vector2f &rhs)

bool equals(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

bool equals(const aidi::geometry::Point2i &lhs, const aidi::geometry::Vector2i &rhs)

bool equals(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool equals(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool equals(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool equals(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool equals(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

bool equals(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool equals(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool equals(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool equals(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

bool equals(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool equals(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool equals(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool equals(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

bool equals(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool equals(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool equals(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool equals(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

bool equals(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool equals(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool equals(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool equals(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool equals(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool equals(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool equals(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool equals(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool equals(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool equals(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool equals(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool equals(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool equals(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool equals(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool equals(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool equals(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool equals(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool equals(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

bool equals(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

bool equals(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Point2f &rhs)

bool equals(const aidi::geometry::Vector2f &lhs, const aidi::geometry::Vector2f &rhs)

bool equals(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Point2i &rhs)

bool equals(const aidi::geometry::Vector2i &lhs, const aidi::geometry::Vector2i &rhs)

bool equals(const aidi::geometry::Line2f &lhs, const aidi::geometry::Line2f &rhs)

bool equals(const aidi::geometry::Line2i &lhs, const aidi::geometry::Line2i &rhs)

group intersection

几何图形之间的交集

Warning

对于整型几何图形的交集结果存在交点为浮点型时,会产生一定的问题.

param lhs:

[in] 几何图形

param rhs:

[in] 同类型的几何图形

param result:

[out] The intersection of geo1 and geo2

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	×	×
LineString	√	√	√	√	×	√	×	×	×
Ring	√	√	√	√	×	√	×	×	×
Polygon	√	√	√	√	×	√	×	×	×
Rect	×	×	×	×	×	×	×	×	×
RotateRect	×	×	×	×	×	×	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

Functions

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Point2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Ring2f &lhs, const aidi::geometry::LineString2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Point2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Ring2i &lhs, const aidi::geometry::LineString2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Point2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::LineString2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Point2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::LineString2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Point2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::LineString2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs, aidi::geometry::MultiPolygon2f &result)

void intersection(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Point2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::LineString2i &rhs, aidi::geometry::MultiPoint2i &result)

void intersection(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs, aidi::geometry::MultiPolygon2i &result)

void intersection(const aidi::geometry::Line2f &lhs, const aidi::geometry::Line2f &rhs, aidi::geometry::Point2f &result)

void intersection(const aidi::geometry::Line2f &lhs, const aidi::geometry::Circle2f &rhs, aidi::geometry::MultiPoint2f &result)

void intersection(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Line2f &rhs, aidi::geometry::MultiPoint2f &result)

group intersects

几何图形是否相交(存在至少一个交点)

param lhs:

几何图形

param rhs:

同类型的几何图形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	√	×
LineString	√	√	√	√	√	√	×	√	×
Ring	√	√	√	√	√	√	×	√	×
Polygon	√	√	√	√	√	√	×	√	×
Rect	√	√	√	√	√	√	×	√	×
RotateRect	√	√	√	√	√	√	×	√	×
Arc	×	×	×	×	×	×	×	×	×
Circle	√	√	√	√	√	√	×	√	×
Vector	×	×	×	×	×	×	×	×	×

Functions

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::Point2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::Point2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Point2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::LineString2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Ring2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Rect2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool intersects(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Point2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::LineString2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Ring2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Rect2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool intersects(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

bool intersects(const aidi::geometry::Line2f &lhs, const aidi::geometry::Line2f &rhs)

group is_empty

判断几何图形是否为空

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon
MultiPoint
MultiPolygon

Functions

bool is_empty(const aidi::geometry::LineString2f &rhs)

bool is_empty(const aidi::geometry::Ring2f &rhs)

bool is_empty(const aidi::geometry::Polygon2f &rhs)

bool is_empty(const aidi::geometry::MultiPoint2f &rhs)

bool is_empty(const aidi::geometry::MultiPolygon2f &rhs)

bool is_empty(const aidi::geometry::LineString2i &rhs)

bool is_empty(const aidi::geometry::Ring2i &rhs)

bool is_empty(const aidi::geometry::Polygon2i &rhs)

bool is_empty(const aidi::geometry::MultiPoint2i &rhs)

bool is_empty(const aidi::geometry::MultiPolygon2i &rhs)

group is_simple

判断几何图形是否是简单几何图形

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon

return:

Linear:非空,没有重复点,不自交,没有尖峰.

return:

Areal:非空,没有重复点.

Functions

bool is_simple(const aidi::geometry::LineString2f &rhs)

bool is_simple(const aidi::geometry::Ring2f &rhs)

bool is_simple(const aidi::geometry::Polygon2f &rhs)

bool is_simple(const aidi::geometry::LineString2i &rhs)

bool is_simple(const aidi::geometry::Ring2i &rhs)

bool is_simple(const aidi::geometry::Polygon2i &rhs)

group return_is_simple

判断几何图形是否是简单几何图形

See also

is_simple()

See also

GeoIsSampleFailType

param rhs:

线或多边形

return:

NO_DISCARD GeoIsSampleFailType 几何图形不为简单几何图形的错误信息

Functions

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::LineString2f &rhs)

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::LineString2i &rhs)

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::Ring2f &rhs)

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::Ring2i &rhs)

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::GeoIsSampleFailType return_is_simple(const aidi::geometry::Polygon2i &rhs)

group is_valid

判断几何图形数据是否有效

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon

return:

Linear:没有无效点,至少有两个点,满足拓扑维数(存在至少两个不相同点),可以有尖峰.

return:

Ring:没有无效点,至少有三个点(闭包四个点),满足拓扑维数(存在至少三个不相同点), 可以有重复点,没有尖峰,没有自交,满足数据顺序定义.

return:

Polygon:外环内环都是有效的,多边形不自交,内环在外环内,内环不存在嵌套.

Functions

bool is_valid(const aidi::geometry::LineString2f &rhs)

bool is_valid(const aidi::geometry::Ring2f &rhs)

bool is_valid(const aidi::geometry::Polygon2f &rhs)

bool is_valid(const aidi::geometry::LineString2i &rhs)

bool is_valid(const aidi::geometry::Ring2i &rhs)

bool is_valid(const aidi::geometry::Polygon2i &rhs)

group return_is_valid

判断几何图形数据是否有效

See also

is_valid()

See also

failure_type

param rhs:

线或多边形

return:

NO_DISCARD int32_t 几何图形数据失效的错误信息

Functions

int32_t return_is_valid(const aidi::geometry::LineString2f &rhs)

int32_t return_is_valid(const aidi::geometry::LineString2i &rhs)

int32_t return_is_valid(const aidi::geometry::Ring2f &rhs)

int32_t return_is_valid(const aidi::geometry::Ring2i &rhs)

int32_t return_is_valid(const aidi::geometry::Polygon2f &rhs)

int32_t return_is_valid(const aidi::geometry::Polygon2i &rhs)

group length

几何图形的长度

param rhs:

线或向量

LinearOrVector
LineString
Vector

return:

NO_DISCARD float

Functions

float length(const aidi::geometry::LineString2f &rhs)

float length(const aidi::geometry::LineString2i &rhs)

float length(const aidi::geometry::Vector2f &rhs)

float length(const aidi::geometry::Vector2i &rhs)

group line_interpolate

线上的线性插值

Warning

对于整型线的插值结果存在浮点型时,会产生一定的问题.

param lhs:

线

param rhs:

点集或单点

param result:

单点则为起点起插值的第一个点,点集则是全部点.

Functions

void line_interpolate(const aidi::geometry::LineString2f &lhs, const float &rhs, aidi::geometry::Point2f &result)

void line_interpolate(const aidi::geometry::LineString2i &lhs, const float &rhs, aidi::geometry::Point2i &result)

void line_interpolate(const aidi::geometry::LineString2f &lhs, const float &rhs, aidi::geometry::MultiPoint2f &result)

void line_interpolate(const aidi::geometry::LineString2i &lhs, const float &rhs, aidi::geometry::MultiPoint2i &result)

group min_area_rect

最小面积外接矩形

param lhs:

多边形

param rhs:

同类型的旋转矩形

Areal
Ring
Polygon

Functions

void min_area_rect(const aidi::geometry::Ring2f &lhs, aidi::geometry::RotateRect2f &rhs)

void min_area_rect(const aidi::geometry::Polygon2f &lhs, aidi::geometry::RotateRect2f &rhs)

group return_min_area_rect

最小面积外接矩形

See also

min_area_rect()

Functions

aidi::geometry::RotateRect2f return_min_area_rect(const aidi::geometry::Ring2f &rhs)

aidi::geometry::RotateRect2f return_min_area_rect(const aidi::geometry::Polygon2f &rhs)

group overlaps

多边形是否有重叠部分

param lhs:

多边形

param rhs:

同类型的多边形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	×	×	×	×	×	×	×	×	×
LineString	×	×	×	×	×	×	×	×	×
Ring	×	×	√	√	×	×	×	×	×
Polygon	×	×	√	√	×	×	×	×	×
Rect	×	×	×	×	√	×	×	×	×
RotateRect	×	×	×	×	×	×	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD bool

Functions

bool overlaps(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool overlaps(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool overlaps(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool overlaps(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool overlaps(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool overlaps(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool overlaps(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool overlaps(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool overlaps(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool overlaps(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

group perimeter

几何图形的周长

整型矩形的周长

param rhs:

多边形的周长

Areal
Ring
Polygon
Rect
RotateRect
Circle

param rhs:

整型矩形

return:

NO_DISCARD int32_t 整型周长

Functions

float perimeter(const aidi::geometry::Ring2f &rhs)

float perimeter(const aidi::geometry::Polygon2f &rhs)

float perimeter(const aidi::geometry::Rect2f &rhs)

float perimeter(const aidi::geometry::RotateRect2f &rhs)

float perimeter(const aidi::geometry::Circle2f &rhs)

float perimeter(const aidi::geometry::Ring2i &rhs)

float perimeter(const aidi::geometry::Polygon2i &rhs)

float perimeter(const aidi::geometry::RotateRect2i &rhs)

float perimeter(const aidi::geometry::Circle2i &rhs)

int32_t perimeter(const aidi::geometry::Rect2i &rhs)

group reverse

翻转几何图形数据顺序

Note

The reverse of a (multi)polygon or ring might make a valid geometry invalid because the (counter)clockwise orientation reverses.

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon

Functions

void reverse(aidi::geometry::LineString2f &rhs)

void reverse(aidi::geometry::Ring2f &rhs)

void reverse(aidi::geometry::Polygon2f &rhs)

void reverse(aidi::geometry::LineString2i &rhs)

void reverse(aidi::geometry::Ring2i &rhs)

void reverse(aidi::geometry::Polygon2i &rhs)

group return_reverse

翻转几何图形数据顺序

See also

reverse()

Functions

aidi::geometry::LineString2f return_reverse(const aidi::geometry::LineString2f &rhs)

aidi::geometry::Ring2f return_reverse(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Polygon2f return_reverse(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::LineString2i return_reverse(const aidi::geometry::LineString2i &rhs)

aidi::geometry::Ring2i return_reverse(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Polygon2i return_reverse(const aidi::geometry::Polygon2i &rhs)

group simplify

简化几何图形

采用Douglas-Peucker算法进行多边形逼近,小于阈值则被删除.

Warning

结果会被强制改为闭包.

param lhs:

线或多边形

param rhs:

阈值

Functions

void simplify(aidi::geometry::LineString2f &lhs, const float &rhs)

void simplify(aidi::geometry::Ring2f &lhs, const float &rhs)

void simplify(aidi::geometry::Polygon2f &lhs, const float &rhs)

void simplify(aidi::geometry::LineString2i &lhs, const float &rhs)

void simplify(aidi::geometry::Ring2i &lhs, const float &rhs)

void simplify(aidi::geometry::Polygon2i &lhs, const float &rhs)

group return_simplify

简化几何图形

See also

simplify()

Functions

aidi::geometry::LineString2f return_simplify(const aidi::geometry::LineString2f &lhs, const float &rhs)

aidi::geometry::Ring2f return_simplify(const aidi::geometry::Ring2f &lhs, const float &rhs)

aidi::geometry::Polygon2f return_simplify(const aidi::geometry::Polygon2f &lhs, const float &rhs)

aidi::geometry::LineString2i return_simplify(const aidi::geometry::LineString2i &lhs, const float &rhs)

aidi::geometry::Ring2i return_simplify(const aidi::geometry::Ring2i &lhs, const float &rhs)

aidi::geometry::Polygon2i return_simplify(const aidi::geometry::Polygon2i &lhs, const float &rhs)

group sym_difference

几何图形之间的对称差

Warning

对于整型几何图形的对称差结果存在交点为浮点型时,会产生一定的问题.

Warning

几何结构不遵守约定顺序可能会产生一定的问题.

param lhs:

多边形

param rhs:

同类型的多边形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	×	×	×	×	×	×	×	×	×
LineString	×	×	×	×	×	×	×	×	×
Ring	×	×	√	√	×	×	×	×	×
Polygon	×	×	√	√	×	×	×	×	×
Rect	×	×	×	×	×	×	×	×	×
RotateRect	×	×	×	×	×	×	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

param result:

同类型的多多边形

Functions

void sym_difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void sym_difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void sym_difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void sym_difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void sym_difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void sym_difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void sym_difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void sym_difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

group return_sym_difference

几何图形之间的对称差

See also

sym_difference()

Functions

aidi::geometry::MultiPolygon2f return_sym_difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

aidi::geometry::MultiPolygon2f return_sym_difference(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

aidi::geometry::MultiPolygon2f return_sym_difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

aidi::geometry::MultiPolygon2f return_sym_difference(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

aidi::geometry::MultiPolygon2i return_sym_difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

aidi::geometry::MultiPolygon2i return_sym_difference(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

aidi::geometry::MultiPolygon2i return_sym_difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

aidi::geometry::MultiPolygon2i return_sym_difference(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

group touches

几何图形之间是否触及(相切,不重叠)

param lhs:

多边形

param rhs:

同类型的多边形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	×	×	×	×	×	×	×	×	×
LineString	×	×	×	×	×	×	×	×	×
Ring	×	×	√	√	×	×	×	×	×
Polygon	×	×	√	√	×	×	×	×	×
Rect	×	×	×	×	×	×	×	×	×
RotateRect	×	×	×	×	×	×	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD bool

Functions

bool touches(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool touches(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool touches(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool touches(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool touches(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool touches(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool touches(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool touches(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

group union_areal

多边形之间的并集

Warning

对于整型几何图形的并集结果存在交点为浮点型时,会产生一定的问题.

param lhs:

多边形

param rhs:

同类型的多边形

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	×	×	×	×	×	×	×	×	×
LineString	×	×	×	×	×	×	×	×	×
Ring	×	×	√	√	×	×	×	×	×
Polygon	×	×	√	√	×	×	×	×	×
Rect	×	×	×	×	×	×	×	×	×
RotateRect	×	×	×	×	×	×	×	×	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	×	×	×	×	×	×	×
Vector	×	×	×	×	×	×	×	×	×

param result:

同类型的多多边形

Functions

void union_areal(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void union_areal(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void union_areal(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs, aidi::geometry::MultiPolygon2f &result)

void union_areal(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs, aidi::geometry::MultiPolygon2f &result)

void union_areal(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void union_areal(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

void union_areal(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs, aidi::geometry::MultiPolygon2i &result)

void union_areal(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs, aidi::geometry::MultiPolygon2i &result)

group return_union_areal

多边形之间的并集

See also

return_union_areal()

Functions

aidi::geometry::MultiPolygon2f return_union_areal(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

aidi::geometry::MultiPolygon2f return_union_areal(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

aidi::geometry::MultiPolygon2f return_union_areal(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

aidi::geometry::MultiPolygon2f return_union_areal(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

aidi::geometry::MultiPolygon2i return_union_areal(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

aidi::geometry::MultiPolygon2i return_union_areal(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

aidi::geometry::MultiPolygon2i return_union_areal(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

aidi::geometry::MultiPolygon2i return_union_areal(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

group unique

去除几何图形中重复节点

param rhs:

线或多边形

LinearOrAreal
LineString
Ring
Polygon

Functions

void unique(aidi::geometry::LineString2f &rhs)

void unique(aidi::geometry::Ring2f &rhs)

void unique(aidi::geometry::Polygon2f &rhs)

void unique(aidi::geometry::LineString2i &rhs)

void unique(aidi::geometry::Ring2i &rhs)

void unique(aidi::geometry::Polygon2i &rhs)

group return_unique

去除几何图形中重复节点

See also

unique()

Functions

aidi::geometry::LineString2f return_unique(const aidi::geometry::LineString2f &rhs)

aidi::geometry::Ring2f return_unique(const aidi::geometry::Ring2f &rhs)

aidi::geometry::Polygon2f return_unique(const aidi::geometry::Polygon2f &rhs)

aidi::geometry::LineString2i return_unique(const aidi::geometry::LineString2i &rhs)

aidi::geometry::Ring2i return_unique(const aidi::geometry::Ring2i &rhs)

aidi::geometry::Polygon2i return_unique(const aidi::geometry::Polygon2i &rhs)

group within

第一个几何图形是否在第二个几何图形内部

param lhs:

几何图形

param rhs:

lhs/rhs	Point	LineString	Ring	Polygon	Rect	RotateRect	Arc	Circle	Vector
Point	√	√	√	√	√	√	×	√	×
LineString	×	√	√	√	√	√	×	√	×
Ring	×	×	√	√	√	√	×	√	×
Polygon	×	×	√	√	√	√	×	√	×
Rect	×	×	√	√	√	√	×	√	×
RotateRect	×	×	√	√	√	√	×	√	×
Arc	×	×	×	×	×	×	×	×	×
Circle	×	×	√	√	√	√	×	√	×
Vector	×	×	×	×	×	×	×	×	×

return:

NO_DISCARD bool

Functions

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::Point2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::LineString2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::Point2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::Point2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::LineString2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::Point2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::LineString2f &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::LineString2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::LineString2i &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::LineString2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::Ring2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::Ring2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::Ring2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::Ring2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::Polygon2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::Polygon2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::Rect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::Rect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::Rect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::Rect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::RotateRect2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::RotateRect2i &lhs, const aidi::geometry::Circle2i &rhs)

bool within(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Ring2f &rhs)

bool within(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Polygon2f &rhs)

bool within(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Rect2f &rhs)

bool within(const aidi::geometry::Circle2f &lhs, const aidi::geometry::RotateRect2f &rhs)

bool within(const aidi::geometry::Circle2f &lhs, const aidi::geometry::Circle2f &rhs)

bool within(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Ring2i &rhs)

bool within(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Polygon2i &rhs)

bool within(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Rect2i &rhs)

bool within(const aidi::geometry::Circle2i &lhs, const aidi::geometry::RotateRect2i &rhs)

bool within(const aidi::geometry::Circle2i &lhs, const aidi::geometry::Circle2i &rhs)

group transform_rotate

Geometry rotate transform.

Cartesian coordinate system(the origin of the first quadrant is in

the lower left corner), the matrix is rotated clockwise in radians.

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

param geometry:

Geometry.

Geometry
Point
LineString
Ring
Polygon
RotateRect
Vector
Segment
MultiPoint
MultiPolygon

param radian:

Rotation radian.

return:

NO_DISCARD the result is consistent with the input geometry.

param rect:

Rect.

param radian:

Rotation radian.

return:

NO_DISCARD the result is RotateRect.

Functions

aidi::geometry::Point2f transform_rotate(const aidi::geometry::Point2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::LineString2f transform_rotate(const aidi::geometry::LineString2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::Ring2f transform_rotate(const aidi::geometry::Ring2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::Polygon2f transform_rotate(const aidi::geometry::Polygon2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::RotateRect2f transform_rotate(const aidi::geometry::RotateRect2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::Vector2f transform_rotate(const aidi::geometry::Vector2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::Segment2f transform_rotate(const aidi::geometry::Segment2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::MultiPoint2f transform_rotate(const aidi::geometry::MultiPoint2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::MultiPolygon2f transform_rotate(const aidi::geometry::MultiPolygon2f &geometry, const aidi::geometry::Radian &radian)

aidi::geometry::RotateRect2f transform_rotate(const aidi::geometry::Rect2f &rect, const aidi::geometry::Radian &radian)

group transform_scale

Geometry scale transform.

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

param geometry:

Geometry.

Geometry
Point
LineString
Ring
Polygon
Rect
Vector
Segment
MultiPoint
MultiPolygon

param ratiox:

Scaling ratio direction-x.

param ratioy:

Scaling ratio direction-y.

return:

NO_DISCARD the result is consistent with the input geometry.

param rotate_rect:

RotateRect.

param ratiox:

Scaling ratio direction-x.

param ratioy:

Scaling ratio direction-y.

return:

NO_DISCARD the result is Ring.

Functions

aidi::geometry::Point2f transform_scale(const aidi::geometry::Point2f &geometry, float ratiox, float ratioy)

aidi::geometry::LineString2f transform_scale(const aidi::geometry::LineString2f &geometry, float ratiox, float ratioy)

aidi::geometry::Ring2f transform_scale(const aidi::geometry::Ring2f &geometry, float ratiox, float ratioy)

aidi::geometry::Polygon2f transform_scale(const aidi::geometry::Polygon2f &geometry, float ratiox, float ratioy)

aidi::geometry::Rect2f transform_scale(const aidi::geometry::Rect2f &geometry, float ratiox, float ratioy)

aidi::geometry::Vector2f transform_scale(const aidi::geometry::Vector2f &geometry, float ratiox, float ratioy)

aidi::geometry::Segment2f transform_scale(const aidi::geometry::Segment2f &geometry, float ratiox, float ratioy)

aidi::geometry::MultiPoint2f transform_scale(const aidi::geometry::MultiPoint2f &geometry, float ratiox, float ratioy)

aidi::geometry::MultiPolygon2f transform_scale(const aidi::geometry::MultiPolygon2f &geometry, float ratiox, float ratioy)

aidi::geometry::Ring2f transform_scale(const aidi::geometry::RotateRect2f &rotate_rect, float ratiox, float ratioy)

group transform_translate

Geometry translate transform.

param geometry:

Geometry.

Geometry
Point
LineString
Ring
Polygon
Rect
RotateRect
Vector
Segment
MultiPoint
MultiPolygon

param directx:

Translation transform direction-x.

param directy:

Translation transform direction-y.

return:

NO_DISCARD the result is consistent with the input geometry.

Functions

aidi::geometry::Point2f transform_translate(const aidi::geometry::Point2f &geometry, float directx, float directy)

aidi::geometry::LineString2f transform_translate(const aidi::geometry::LineString2f &geometry, float directx, float directy)

aidi::geometry::Ring2f transform_translate(const aidi::geometry::Ring2f &geometry, float directx, float directy)

aidi::geometry::Polygon2f transform_translate(const aidi::geometry::Polygon2f &geometry, float directx, float directy)

aidi::geometry::Rect2f transform_translate(const aidi::geometry::Rect2f &geometry, float directx, float directy)

aidi::geometry::RotateRect2f transform_translate(const aidi::geometry::RotateRect2f &geometry, float directx, float directy)

aidi::geometry::Vector2f transform_translate(const aidi::geometry::Vector2f &geometry, float directx, float directy)

aidi::geometry::Segment2f transform_translate(const aidi::geometry::Segment2f &geometry, float directx, float directy)

aidi::geometry::MultiPoint2f transform_translate(const aidi::geometry::MultiPoint2f &geometry, float directx, float directy)

aidi::geometry::MultiPolygon2f transform_translate(const aidi::geometry::MultiPolygon2f &geometry, float directx, float directy)

group transform

Geometry transform.

transform(geometry, step1), transform(geometry, step2) -> transform(geometry, step2 * step1).

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

param geometry:

Geometry.

Geometry
Point
LineString
Ring
Polygon
Vector
Segment
MultiPoint
MultiPolygon

param mat:

Transformation matrix.

return:

NO_DISCARD the result is consistent with the input geometry.

param rect:

Rect.

param mat:

Transformation matrix.

return:

NO_DISCARD the result is Ring.

param rotate_rect:

RotateRect.

param mat:

Transformation matrix.

return:

NO_DISCARD the result is Ring.

Functions

aidi::geometry::Point2f transform(const aidi::geometry::Point2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::LineString2f transform(const aidi::geometry::LineString2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Ring2f transform(const aidi::geometry::Ring2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Polygon2f transform(const aidi::geometry::Polygon2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Vector2f transform(const aidi::geometry::Vector2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Segment2f transform(const aidi::geometry::Segment2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::MultiPoint2f transform(const aidi::geometry::MultiPoint2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::MultiPolygon2f transform(const aidi::geometry::MultiPolygon2f &geometry, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Ring2f transform(const aidi::geometry::Rect2f &rect, const aidi::geometry::Matrix3f &mat)

aidi::geometry::Ring2f transform(const aidi::geometry::RotateRect2f &rotate_rect, const aidi::geometry::Matrix3f &mat)

Matrix3f aidi::geometry::get_affine_transform(const std::vector<Point2f> &src, const std::vector<Point2f> &dst)

Calculate an affine transform from three pairs of the corresponding points.

If the number of point pairs is less than 3, an aidi::excepts::InvalidArgument will be thrown.

Parameters:

• src – Coordinate of triangle vertices in the source image.

• dst – Coordinate of the corresponding triangle vertices in the destination image.

Throws:

aidi::excepts::InvalidArgument – if the number of point pairs is less than requirement.

Returns:

NO_DISCARD transformation matrix.

Matrix3f aidi::geometry::get_perspective_transform(const std::vector<Point2f> &src, const std::vector<Point2f> &dst)

Calculate a perspective transform from four pairs of the corresponding points.

If the number of point pairs is less than 4, an aidi::excepts::InvalidArgument will be thrown.

Parameters:

• src – Coordinate of quadrangle vertices in the source image.

• dst – Coordinate of the corresponding quadrangle vertices in the destination image.

Throws:

aidi::excepts::InvalidArgument – if the number of point pairs is less than requirement.

Returns:

NO_DISCARD transformation matrix.

Matrix3f aidi::geometry::get_inverse_transform(const Matrix3f &mat)

Get inverse transform matrix.

Parameters:

mat – Source matrix.

Returns:

NO_DISCARD inverse transform matrix.

Matrix3f aidi::geometry::get_rotate_transform(const Radian &radian)

Get rotate transform matrix.

Parameters:

radian – Rotation radian.

Returns:

NO_DISCARD rotate transform matrix.

Matrix3f aidi::geometry::get_scale_transform(float ratiox, float ratioy)

Get scale transform matrix.

Parameters:

• ratiox – Scaling ratio direction-x.

• ratioy – Scaling ratio direction-y.

Returns:

NO_DISCARD scale transform matrix.

Matrix3f aidi::geometry::get_translate_transform(float directx, float directy)

Get translate transform matrix.

Parameters:

• directx – Translation transform direction-x.

• directy – Translation transform direction-y.

Returns:

NO_DISCARD translate transform matrix

using aidi::geometry::Rect2f::Size = Size2f

using aidi::geometry::Rect2i::Size = Size2i

using aidi::geometry::MultiPoint2f::Point = Point2f

using aidi::geometry::MultiPoint2i::Point = Point2i

using aidi::geometry::MultiPolygon2f::Polygon = Polygon2f

using aidi::geometry::MultiPolygon2i::Polygon = Polygon2i