geometry

package
v1.0.32 Latest Latest
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 Go to latest Published: May 24, 2024 License: MIT Imports: 10 Imported by: 0

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Index

Constants

This section is empty.

Variables

View Source 
var AngleDirections = angleDirections{
	Err:              fmt.Errorf("invalid AngleDirection"),
	Invalid:          AngleDirection("invalid"),
	Clockwise:        AngleDirection("clockwise"),
	CounterClockwise: AngleDirection("counter-clockwise"),
}
View Source 
var AngleTypes = angleTypes{
	Err:     fmt.Errorf("invalid AngleType"),
	Invalid: AngleType("invalid"),
	Degrees: AngleType("degrees"),
	Radians: AngleType("radians"),
}

Functions

func DegreeToRadian 

func DegreeToRadian[T geometryNumber](angle T) T

func RadianToDegree 

func RadianToDegree[T geometryNumber](angle T) T

Types

type Angle 

type Angle[T geometryNumber] struct {
	Magnitude T
	Type      AngleType
	Direction AngleDirection
}

func (Angle[T]) ToDegree 

func (t Angle[T]) ToDegree() Angle[T]

func (Angle[T]) ToRadian 

func (t Angle[T]) ToRadian() Angle[T]

type AngleDirection 

type AngleDirection string

func (AngleDirection) MarshalJSON 

func (t AngleDirection) MarshalJSON() ([]byte, error)

func (AngleDirection) MarshalXML added in v1.0.31 

func (t AngleDirection) MarshalXML(e *xml.Encoder, start xml.StartElement) error

func (AngleDirection) MarshalYAML 

func (t AngleDirection) MarshalYAML() (interface{}, error)

func (*AngleDirection) Scan 

func (t *AngleDirection) Scan(value interface{}) error

func (AngleDirection) String 

func (t AngleDirection) String() string

func (*AngleDirection) UnmarshalJSON 

func (t *AngleDirection) UnmarshalJSON(data []byte) error

func (*AngleDirection) UnmarshalXML added in v1.0.31 

func (t *AngleDirection) UnmarshalXML(d *xml.Decoder, start xml.StartElement) error

func (*AngleDirection) UnmarshalYAML 

func (t *AngleDirection) UnmarshalYAML(unmarshal func(interface{}) error) error

func (AngleDirection) Value 

func (t AngleDirection) Value() (driver.Value, error)

type AngleType 

type AngleType string

func (AngleType) MarshalJSON 

func (t AngleType) MarshalJSON() ([]byte, error)

func (AngleType) MarshalXML added in v1.0.31 

func (t AngleType) MarshalXML(e *xml.Encoder, start xml.StartElement) error

func (AngleType) MarshalYAML 

func (t AngleType) MarshalYAML() (interface{}, error)

func (*AngleType) Scan 

func (t *AngleType) Scan(value interface{}) error

func (AngleType) String 

func (t AngleType) String() string

func (*AngleType) UnmarshalJSON 

func (t *AngleType) UnmarshalJSON(data []byte) error

func (*AngleType) UnmarshalXML added in v1.0.31 

func (t *AngleType) UnmarshalXML(d *xml.Decoder, start xml.StartElement) error

func (*AngleType) UnmarshalYAML 

func (t *AngleType) UnmarshalYAML(unmarshal func(interface{}) error) error

func (AngleType) Value 

func (t AngleType) Value() (driver.Value, error)

type CartesianCoordinate 

type CartesianCoordinate[T geometryNumber] struct {
	X T
	Y T
}

func PolarToCartesian 

func PolarToCartesian[T geometryNumber](coordinate PolarCoordinate[T]) CartesianCoordinate[T]

type Circle 

type Circle[T geometryNumber] struct {
	Center CartesianCoordinate[T]
	Radius T
}

func NewCircle 

func NewCircle[T geometryNumber](center CartesianCoordinate[T], radius T) Circle[T]

func NewCircleXY 

func NewCircleXY[T geometryNumber](x, y, radius T) Circle[T]

func (Circle[T]) Diameter 

func (t Circle[T]) Diameter() T

func (Circle[T]) PointOnCircumference 

func (t Circle[T]) PointOnCircumference(angle Angle[T]) CartesianCoordinate[T]

func (Circle[T]) PointOnDiameter 

func (t Circle[T]) PointOnDiameter(percent T) CartesianCoordinate[T]

func (Circle[T]) XCoordinate 

func (t Circle[T]) XCoordinate(y T) CartesianCoordinate[T]

(x – h)^2 + (y – k)^2 = r^2

(x – h)^2 = r^2 - (y – k)^2 x - h = √(r^2 - (y – k)^2) x = h + √(r^2 - (y – k)^2)

func (Circle[T]) YCoordinate 

func (t Circle[T]) YCoordinate(x T) CartesianCoordinate[T]

(x – h)^2 + (y – k)^2 = r^2 

(y – k)^2 = r^2 - (x – h)^2
y – k = √(r^2 - (x – h)^2)
y = k + √(r^2 - (x – h)^2)

type Dimension2d 

type Dimension2d[T types.Numbers] struct {
	Height T
	Width  T
}

func NewDimension2d 

func NewDimension2d[T types.Numbers](height, width T) Dimension2d[T]

type LineSegment 

type LineSegment[T geometryNumber] struct {
	Start CartesianCoordinate[T]
	End   CartesianCoordinate[T]
}

func NewLineSegmentCoords 

func NewLineSegmentCoords[T geometryNumber](start, end CartesianCoordinate[T]) LineSegment[T]

func NewLineSegmentXY 

func NewLineSegmentXY[T geometryNumber](x1, y1, x2, y2 T) LineSegment[T]

func (LineSegment[T]) IntersectAt 

func (t LineSegment[T]) IntersectAt(segment LineSegment[T]) CartesianCoordinate[T]

https://www.cuemath.com/geometry/intersection-of-two-lines/ https://www.cuemath.com/algebra/cross-multiplication-method/

func (LineSegment[T]) Length 

func (t LineSegment[T]) Length() T

func (LineSegment[T]) Midpoint 

func (t LineSegment[T]) Midpoint() CartesianCoordinate[T]

func (LineSegment[T]) PointAtPercent 

func (t LineSegment[T]) PointAtPercent(percentage T) CartesianCoordinate[T]

func (LineSegment[T]) Slope 

func (t LineSegment[T]) Slope() T

func (LineSegment[T]) SlopeIntercept 

func (t LineSegment[T]) SlopeIntercept() SlopeInterceptLine[T]

func (LineSegment[T]) Standard 

func (t LineSegment[T]) Standard() StandardLine[T]

type PolarCoordinate 

type PolarCoordinate[T geometryNumber] struct {
	Radius T
	Angle  Angle[T]
}

func CartesianToPolar 

func CartesianToPolar[T geometryNumber](coordinate CartesianCoordinate[T]) PolarCoordinate[T]

type Rectangle 

type Rectangle[T geometryNumber] struct {
	TopLeft    CartesianCoordinate[T]
	Dimensions Dimension2d[T]
}

func NewRectangle 

func NewRectangle[T geometryNumber](topLeft CartesianCoordinate[T], dimensions Dimension2d[T]) Rectangle[T]

func NewRectangleXYHW 

func NewRectangleXYHW[T geometryNumber](x, y, height, width T) Rectangle[T]

func (Rectangle[T]) Area 

func (t Rectangle[T]) Area() T

func (Rectangle[T]) BottomLeft 

func (t Rectangle[T]) BottomLeft() CartesianCoordinate[T]

func (Rectangle[T]) BottomMidpoint 

func (t Rectangle[T]) BottomMidpoint() CartesianCoordinate[T]

func (Rectangle[T]) BottomRight 

func (t Rectangle[T]) BottomRight() CartesianCoordinate[T]

func (Rectangle[T]) Center 

func (t Rectangle[T]) Center() CartesianCoordinate[T]

func (Rectangle[T]) LeftMidpoint 

func (t Rectangle[T]) LeftMidpoint() CartesianCoordinate[T]

func (Rectangle[T]) Perimeter 

func (t Rectangle[T]) Perimeter() T

func (Rectangle[T]) PointOnPeremiter 

func (t Rectangle[T]) PointOnPeremiter(angle Angle[T]) CartesianCoordinate[T]

func (Rectangle[T]) RightMidpoint 

func (t Rectangle[T]) RightMidpoint() CartesianCoordinate[T]

func (Rectangle[T]) TopMidpoint 

func (t Rectangle[T]) TopMidpoint() CartesianCoordinate[T]

func (Rectangle[T]) TopRight 

func (t Rectangle[T]) TopRight() CartesianCoordinate[T]

type SlopeInterceptLine 

type SlopeInterceptLine[T geometryNumber] struct {
	M T
	B T
}

func (SlopeInterceptLine[T]) Segment 

func (t SlopeInterceptLine[T]) Segment(x1, x2 T) LineSegment[T]

func (SlopeInterceptLine[T]) Y 

func (t SlopeInterceptLine[T]) Y(x T) T

type StandardLine 

type StandardLine[T geometryNumber] struct {
	A T
	B T
	C T
}

Source Files

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