floatgeom

package
v2.0.0-beta.0+incompat... Latest Latest
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 Go to latest Published: Jan 21, 2018 License: Apache-2.0 Imports: 2 Imported by: 0

Documentation

Overview

Package floatgeom stores primitives for floating point geometry

Index

Constants

This section is empty.

Variables

This section is empty.

Functions

func Distance2 

func Distance2(x1, y1, x2, y2 float64) float64

Distance2 calculates the euclidean distance between two points, as two (x,y) pairs

func Distance3 

func Distance3(x1, y1, z1, x2, y2, z2 float64) float64

Distance3 calculates the euclidean distance between two points, as two (x,y,z) triplets

Types

type Point2 

type Point2 [2]float64

Point2 represents a 2D point in space.

func AnglePoint 

func AnglePoint(angle float64) Point2

AnglePoint creates a unit vector from the given angle in degrees as a Point2.

func RadianPoint 

func RadianPoint(radians float64) Point2

RadianPoint creates a unit vector from the given angle in radians as a Point2.

func (Point2) Add 

func (p Point2) Add(ps ...Point2) Point2

Add combines the input points via addition.

func (Point2) AngleTo 

func (p Point2) AngleTo(p2 Point2) float64

AngleTo returns the angle from p to p2 in degrees.

func (Point2) Dim 

func (p Point2) Dim(i int) float64

Dim returns the value of p in the ith dimension. Panics if i > 1. No check is made for efficiency's sake, pending benchmarks, but adding an error here would significantly worsen the API.

func (Point2) Distance 

func (p Point2) Distance(p2 Point2) float64

Distance calculates the distance between this Point2 and another.

func (Point2) Div 

func (p Point2) Div(ps ...Point2) Point2

Div combines the input points via division. Div does not check that the inputs are non zero before operating, and can panic if that is not true.

func (Point2) DivConst 

func (p Point2) DivConst(fs ...float64) Point2

DivConst divides all elements of a point by the input floats DivConst does not check that the inputs are non zero before operating, and can panic if that is not true.

func (Point2) Dot 

func (p Point2) Dot(p2 Point2) float64

Dot returns the dot product of the input points

func (Point2) GreaterOf 

func (p Point2) GreaterOf(ps ...Point2) Point2

GreaterOf returns the highest values on each axis of the input points as a point.

func (Point2) LesserOf 

func (p Point2) LesserOf(ps ...Point2) Point2

LesserOf returns the lowest values on each axis of the input points as a point.

func (Point2) Magnitude 

func (p Point2) Magnitude() float64

Magnitude returns the magnitude of the combined components of a Point

func (Point2) Mul 

func (p Point2) Mul(ps ...Point2) Point2

Mul combines in the input points via multiplication.

func (Point2) MulConst 

func (p Point2) MulConst(fs ...float64) Point2

MulConst multiplies all elements of a point by the input floats

func (Point2) Normalize 

func (p Point2) Normalize() Point2

Normalize converts this point into a unit vector.

func (Point2) RadiansTo 

func (p Point2) RadiansTo(p2 Point2) float64

RadiansTo returns the angle from p to p2 in radians.

func (Point2) Rotate 

func (p Point2) Rotate(fs ...float64) Point2

Rotate takes in a set of angles and rotates v by their sum the input angles are expected to be in degrees.

func (Point2) RotateRadians 

func (p Point2) RotateRadians(fs ...float64) Point2

RotateRadians takes in a set of angles and rotates v by their sum the input angles are expected to be in radians.

func (Point2) Sub 

func (p Point2) Sub(ps ...Point2) Point2

Sub combines the input points via subtraction.

func (Point2) ToAngle 

func (p Point2) ToAngle() float64

ToAngle returns this point as an angle in degrees.

func (Point2) ToRadians 

func (p Point2) ToRadians() float64

ToRadians returns this point as an angle in radians.

func (Point2) ToRect 

func (p Point2) ToRect(span float64) Rect2

ToRect converts this point into a rectangle spanning span distance in each axis.

func (Point2) X 

func (p Point2) X() float64

X returns p's value on the X axis.

func (Point2) Y 

func (p Point2) Y() float64

Y returns p's value on the Y axis.

type Point3 

type Point3 [3]float64

Point3 represents a 3D point in space.

func (Point3) Add 

func (p Point3) Add(ps ...Point3) Point3

Add combines the input points via addition.

func (Point3) Dim 

func (p Point3) Dim(i int) float64

Dim returns the value of p in the ith dimension. Panics if i > 2. No check is made for efficiency's sake, pending benchmarks, but adding an error here would significantly worsen the API.

func (Point3) Distance 

func (p Point3) Distance(p2 Point3) float64

Distance calculates the distance between this Point3 and another.

func (Point3) Div 

func (p Point3) Div(ps ...Point3) Point3

Div combines the input points via division. Div does not check that the inputs are non zero before operating, and can panic if that is not true.

func (Point3) DivConst 

func (p Point3) DivConst(fs ...float64) Point3

DivConst divides all elements of a point by the input floats DivConst does not check that the inputs are non zero before operating, and can panic if that is not true.

func (Point3) Dot 

func (p Point3) Dot(p2 Point3) float64

Dot returns the dot product of the input points

func (Point3) GreaterOf 

func (p Point3) GreaterOf(ps ...Point3) Point3

GreaterOf returns the highest values on each axis of the input points as a point.

func (Point3) LesserOf 

func (p Point3) LesserOf(ps ...Point3) Point3

LesserOf returns the lowest values on each axis of the input points as a point.

func (Point3) Magnitude 

func (p Point3) Magnitude() float64

Magnitude returns the magnitude of the combined components of a Point

func (Point3) Mul 

func (p Point3) Mul(ps ...Point3) Point3

Mul combines in the input points via multiplication.

func (Point3) MulConst 

func (p Point3) MulConst(fs ...float64) Point3

MulConst multiplies all elements of a point by the input floats

func (Point3) Normalize 

func (p Point3) Normalize() Point3

Normalize converts this point into a unit vector.

func (Point3) ProjectX 

func (p Point3) ProjectX() Point2

ProjectX projects the Point3 onto the x axis, removing it's x component and returning a Point2 todo: I'm not sure about this (these) function name

func (Point3) ProjectY 

func (p Point3) ProjectY() Point2

ProjectY projects the Point3 onto the y axis, removing it's y component and returning a Point2

func (Point3) ProjectZ 

func (p Point3) ProjectZ() Point2

ProjectZ projects the Point3 onto the z axis, removing it's z component and returning a Point2

func (Point3) Sub 

func (p Point3) Sub(ps ...Point3) Point3

Sub combines the input points via subtraction.

func (Point3) ToRect 

func (p Point3) ToRect(span float64) Rect3

ToRect converts this point into a rectangle spanning span distance in each axis.

func (Point3) X 

func (p Point3) X() float64

X returns p's value on the X axis.

func (Point3) Y 

func (p Point3) Y() float64

Y returns p's value on the Y axis.

func (Point3) Z 

func (p Point3) Z() float64

Z returns p's value on the Z axis.

type Rect2 

type Rect2 struct {
	Min, Max Point2
}

A Rect2 represents a span from one point in 2D space to another. If Min is less than max on any axis, it will return undefined results for methods.

func NewBoundingRect2 

func NewBoundingRect2(pts ...Point2) Rect2

NewBoundingRect2 will produce the minimal rectangle that contains all of the input points.

func NewRect2 

func NewRect2(x, y, x2, y2 float64) Rect2

NewRect2 returns an (X,Y):(X2,Y2) rectangle. This enforces that x < x2 and y < y2, and will swap the inputs if that is not true. If that enforcement is not desired, construct the struct manually.

func NewRect2WH 

func NewRect2WH(x, y, w, h float64) Rect2

NewRect2WH returns an (X,Y):(X+W,Y+H) rectangle. This enforces that w and h are positive, and will decrease x and y respectively if that is not true.

func (Rect2) Area 

func (r Rect2) Area() float64

Area returns W * H.

func (Rect2) Contains 

func (r Rect2) Contains(p Point2) bool

Contains tests whether p is located inside or on the boundary of r.

func (Rect2) ContainsRect 

func (r Rect2) ContainsRect(r2 Rect2) bool

ContainsRect tests whether r2 is is located inside r1.

func (Rect2) GreaterOf 

func (r Rect2) GreaterOf(r2 Rect2) Rect2

GreaterOf returns a rectangle formed of the lowest values on each dimension for Min, and the highest for Max.

func (Rect2) H 

func (r Rect2) H() float64

H returns the height of this rectangle.

func (Rect2) Intersects 

func (r Rect2) Intersects(r2 Rect2) bool

Intersects returns whether the two rectangles intersect.

func (Rect2) MaxDimensions 

func (r Rect2) MaxDimensions() int

MaxDimensions reports that a Rect2 has only two dimensions of definition.

func (Rect2) Midpoint 

func (r Rect2) Midpoint(i int) float64

Midpoint returns the midpoint of this rectangle's span over a given dimension.

func (Rect2) Perimeter 

func (r Rect2) Perimeter() float64

Perimeter computes the sum of the edge lengths of a rectangle.

func (Rect2) Span 

func (r Rect2) Span(i int) float64

Span returns the span on this rectangle's ith axis.

func (Rect2) W 

func (r Rect2) W() float64

W returns the width of this rectangle.

type Rect3 

type Rect3 struct {
	Min, Max Point3
}

A Rect3 represents a span from one point in 3D space to another. If Min is less than Max on any axis, it will return undefined results for methods.

func NewBoundingRect3 

func NewBoundingRect3(pts ...Point3) Rect3

NewBoundingRect3 will produce the minimal rectangle that contains all of the input points.

func NewRect3 

func NewRect3(x, y, z, x2, y2, z2 float64) Rect3

NewRect3 returns an (X,Y,Z):(X2,Y2,Z2) rectangle. This enforces that x < x2, y < y2, and z < z2, and will swap the inputs if that is not true.

func NewRect3WH 

func NewRect3WH(x, y, z, w, h, d float64) Rect3

NewRect3WH returns an (X,Y,Z):(X+W,Y+H,Z+D) rectangle. This enforces that w, h, and d and positive, and will decrease x, y, and z respectively if that is not true.

func (Rect3) Contains 

func (r Rect3) Contains(p Point3) bool

Contains tests whether p is located inside or on the boundary of r.

func (Rect3) ContainsRect 

func (r Rect3) ContainsRect(r2 Rect3) bool

ContainsRect tests whether r2 is is located inside r1.

func (Rect3) D 

func (r Rect3) D() float64

D returns the depth of this rectangle.

func (Rect3) GreaterOf 

func (r Rect3) GreaterOf(r2 Rect3) Rect3

GreaterOf returns a rectangle formed of the lowest values on each dimension for Min, and the highest for Max.

func (Rect3) H 

func (r Rect3) H() float64

H returns the height of this rectangle.

func (Rect3) Intersects 

func (r Rect3) Intersects(r2 Rect3) bool

Intersects returns whether the two rectangles intersect.

func (Rect3) Margin 

func (r Rect3) Margin() float64

Margin computes the sum of the edge lengths of a rectangle.

func (Rect3) MaxDimensions 

func (r Rect3) MaxDimensions() int

MaxDimensions reports that a Rect3 has only three dimensions of definition.

func (Rect3) Midpoint 

func (r Rect3) Midpoint(i int) float64

Midpoint returns the midpoint of this rectangle's span over a given dimension.

func (Rect3) Space 

func (r Rect3) Space() float64

Space returns W * H * D

func (Rect3) Span 

func (r Rect3) Span(i int) float64

Span returns the span on this rectangle's ith axis.

func (Rect3) W 

func (r Rect3) W() float64

W returns the width of this rectangle.

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