go-opengl-pixel/geometry_test.go

1561 lines
40 KiB
Go

package pixel_test
import (
"fmt"
"math"
"reflect"
"testing"
"github.com/faiface/pixel"
"github.com/stretchr/testify/assert"
)
// closeEnough will shift the decimal point by the accuracy required, truncates the results and compares them.
// Effectively this compares two floats to a given decimal point.
// Example:
// closeEnough(100.125342432, 100.125, 2) == true
// closeEnough(math.Pi, 3.14, 2) == true
// closeEnough(0.1234, 0.1245, 3) == false
func closeEnough(got, expected float64, decimalAccuracy int) bool {
gotShifted := got * math.Pow10(decimalAccuracy)
expectedShifted := expected * math.Pow10(decimalAccuracy)
return math.Trunc(gotShifted) == math.Trunc(expectedShifted)
}
func TestRect_Edges(t *testing.T) {
type fields struct {
Min pixel.Vec
Max pixel.Vec
}
tests := []struct {
name string
fields fields
want [4]pixel.Line
}{
{
name: "Get edges",
fields: fields{Min: pixel.V(0, 0), Max: pixel.V(10, 10)},
want: [4]pixel.Line{
pixel.L(pixel.V(0, 0), pixel.V(0, 10)),
pixel.L(pixel.V(0, 10), pixel.V(10, 10)),
pixel.L(pixel.V(10, 10), pixel.V(10, 0)),
pixel.L(pixel.V(10, 0), pixel.V(0, 0)),
},
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
r := pixel.Rect{
Min: tt.fields.Min,
Max: tt.fields.Max,
}
if got := r.Edges(); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Rect.Edges() = %v, want %v", got, tt.want)
}
})
}
}
func TestRect_Resize(t *testing.T) {
type rectTestTransform struct {
name string
f func(pixel.Rect) pixel.Rect
}
// rectangles
squareAroundOrigin := pixel.R(-10, -10, 10, 10)
squareAround2020 := pixel.R(10, 10, 30, 30)
rectangleAroundOrigin := pixel.R(-20, -10, 20, 10)
rectangleAround2020 := pixel.R(0, 10, 40, 30)
// resize transformations
resizeByHalfAroundCenter := rectTestTransform{"by half around center", func(rect pixel.Rect) pixel.Rect {
return rect.Resized(rect.Center(), rect.Size().Scaled(0.5))
}}
resizeByHalfAroundMin := rectTestTransform{"by half around Min", func(rect pixel.Rect) pixel.Rect {
return rect.Resized(rect.Min, rect.Size().Scaled(0.5))
}}
resizeByHalfAroundMax := rectTestTransform{"by half around Max", func(rect pixel.Rect) pixel.Rect {
return rect.Resized(rect.Max, rect.Size().Scaled(0.5))
}}
resizeByHalfAroundMiddleOfLeftSide := rectTestTransform{"by half around middle of left side", func(rect pixel.Rect) pixel.Rect {
return rect.Resized(pixel.V(rect.Min.X, rect.Center().Y), rect.Size().Scaled(0.5))
}}
resizeByHalfAroundOrigin := rectTestTransform{"by half around the origin", func(rect pixel.Rect) pixel.Rect {
return rect.Resized(pixel.ZV, rect.Size().Scaled(0.5))
}}
testCases := []struct {
input pixel.Rect
transform rectTestTransform
answer pixel.Rect
}{
{squareAroundOrigin, resizeByHalfAroundCenter, pixel.R(-5, -5, 5, 5)},
{squareAround2020, resizeByHalfAroundCenter, pixel.R(15, 15, 25, 25)},
{rectangleAroundOrigin, resizeByHalfAroundCenter, pixel.R(-10, -5, 10, 5)},
{rectangleAround2020, resizeByHalfAroundCenter, pixel.R(10, 15, 30, 25)},
{squareAroundOrigin, resizeByHalfAroundMin, pixel.R(-10, -10, 0, 0)},
{squareAround2020, resizeByHalfAroundMin, pixel.R(10, 10, 20, 20)},
{rectangleAroundOrigin, resizeByHalfAroundMin, pixel.R(-20, -10, 0, 0)},
{rectangleAround2020, resizeByHalfAroundMin, pixel.R(0, 10, 20, 20)},
{squareAroundOrigin, resizeByHalfAroundMax, pixel.R(0, 0, 10, 10)},
{squareAround2020, resizeByHalfAroundMax, pixel.R(20, 20, 30, 30)},
{rectangleAroundOrigin, resizeByHalfAroundMax, pixel.R(0, 0, 20, 10)},
{rectangleAround2020, resizeByHalfAroundMax, pixel.R(20, 20, 40, 30)},
{squareAroundOrigin, resizeByHalfAroundMiddleOfLeftSide, pixel.R(-10, -5, 0, 5)},
{squareAround2020, resizeByHalfAroundMiddleOfLeftSide, pixel.R(10, 15, 20, 25)},
{rectangleAroundOrigin, resizeByHalfAroundMiddleOfLeftSide, pixel.R(-20, -5, 0, 5)},
{rectangleAround2020, resizeByHalfAroundMiddleOfLeftSide, pixel.R(0, 15, 20, 25)},
{squareAroundOrigin, resizeByHalfAroundOrigin, pixel.R(-5, -5, 5, 5)},
{squareAround2020, resizeByHalfAroundOrigin, pixel.R(5, 5, 15, 15)},
{rectangleAroundOrigin, resizeByHalfAroundOrigin, pixel.R(-10, -5, 10, 5)},
{rectangleAround2020, resizeByHalfAroundOrigin, pixel.R(0, 5, 20, 15)},
}
for _, testCase := range testCases {
t.Run(fmt.Sprintf("Resize %v %s", testCase.input, testCase.transform.name), func(t *testing.T) {
testResult := testCase.transform.f(testCase.input)
if testResult != testCase.answer {
t.Errorf("Got: %v, wanted: %v\n", testResult, testCase.answer)
}
})
}
}
func TestRect_Vertices(t *testing.T) {
type fields struct {
Min pixel.Vec
Max pixel.Vec
}
tests := []struct {
name string
fields fields
want [4]pixel.Vec
}{
{
name: "Get corners",
fields: fields{Min: pixel.V(0, 0), Max: pixel.V(10, 10)},
want: [4]pixel.Vec{
pixel.V(0, 0),
pixel.V(0, 10),
pixel.V(10, 10),
pixel.V(10, 0),
},
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
r := pixel.Rect{
Min: tt.fields.Min,
Max: tt.fields.Max,
}
if got := r.Vertices(); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Rect.Vertices() = %v, want %v", got, tt.want)
}
})
}
}
func TestMatrix_Unproject(t *testing.T) {
const delta = 1e-15
t.Run("for rotated matrix", func(t *testing.T) {
matrix := pixel.IM.
Rotated(pixel.ZV, math.Pi/2)
unprojected := matrix.Unproject(pixel.V(0, 1))
assert.InDelta(t, unprojected.X, 1, delta)
assert.InDelta(t, unprojected.Y, 0, delta)
})
t.Run("for moved matrix", func(t *testing.T) {
matrix := pixel.IM.
Moved(pixel.V(1, 2))
unprojected := matrix.Unproject(pixel.V(2, 5))
assert.InDelta(t, unprojected.X, 1, delta)
assert.InDelta(t, unprojected.Y, 3, delta)
})
t.Run("for scaled matrix", func(t *testing.T) {
matrix := pixel.IM.
Scaled(pixel.ZV, 2)
unprojected := matrix.Unproject(pixel.V(2, 4))
assert.InDelta(t, unprojected.X, 1, delta)
assert.InDelta(t, unprojected.Y, 2, delta)
})
t.Run("for scaled, rotated and moved matrix", func(t *testing.T) {
matrix := pixel.IM.
Scaled(pixel.ZV, 2).
Rotated(pixel.ZV, math.Pi/2).
Moved(pixel.V(2, 2))
unprojected := matrix.Unproject(pixel.V(-2, 6))
assert.InDelta(t, unprojected.X, 2, delta)
assert.InDelta(t, unprojected.Y, 2, delta)
})
t.Run("for rotated and moved matrix", func(t *testing.T) {
matrix := pixel.IM.
Rotated(pixel.ZV, math.Pi/2).
Moved(pixel.V(1, 1))
unprojected := matrix.Unproject(pixel.V(1, 2))
assert.InDelta(t, unprojected.X, 1, delta)
assert.InDelta(t, unprojected.Y, 0, delta)
})
t.Run("for projected vertices using all kinds of matrices", func(t *testing.T) {
namedMatrices := map[string]pixel.Matrix{
"IM": pixel.IM,
"Scaled": pixel.IM.Scaled(pixel.ZV, 0.5),
"Scaled x 2": pixel.IM.Scaled(pixel.ZV, 2),
"Rotated": pixel.IM.Rotated(pixel.ZV, math.Pi/4),
"Moved": pixel.IM.Moved(pixel.V(0.5, 1)),
"Moved 2": pixel.IM.Moved(pixel.V(-1, -0.5)),
"Scaled and Rotated": pixel.IM.Scaled(pixel.ZV, 0.5).Rotated(pixel.ZV, math.Pi/4),
"Scaled, Rotated and Moved": pixel.IM.Scaled(pixel.ZV, 0.5).Rotated(pixel.ZV, math.Pi/4).Moved(pixel.V(1, 2)),
"Rotated and Moved": pixel.IM.Rotated(pixel.ZV, math.Pi/4).Moved(pixel.V(1, 2)),
}
vertices := [...]pixel.Vec{
pixel.V(0, 0),
pixel.V(5, 0),
pixel.V(5, 10),
pixel.V(0, 10),
pixel.V(-5, 10),
pixel.V(-5, 0),
pixel.V(-5, -10),
pixel.V(0, -10),
pixel.V(5, -10),
}
for matrixName, matrix := range namedMatrices {
for _, vertex := range vertices {
testCase := fmt.Sprintf("for matrix %s and vertex %v", matrixName, vertex)
t.Run(testCase, func(t *testing.T) {
projected := matrix.Project(vertex)
unprojected := matrix.Unproject(projected)
assert.InDelta(t, vertex.X, unprojected.X, delta)
assert.InDelta(t, vertex.Y, unprojected.Y, delta)
})
}
}
})
t.Run("for singular matrix", func(t *testing.T) {
matrix := pixel.Matrix{0, 0, 0, 0, 0, 0}
unprojected := matrix.Unproject(pixel.ZV)
assert.True(t, math.IsNaN(unprojected.X))
assert.True(t, math.IsNaN(unprojected.Y))
})
}
func TestC(t *testing.T) {
type args struct {
radius float64
center pixel.Vec
}
tests := []struct {
name string
args args
want pixel.Circle
}{
{
name: "C(): positive radius",
args: args{radius: 10, center: pixel.ZV},
want: pixel.Circle{Radius: 10, Center: pixel.ZV},
},
{
name: "C(): zero radius",
args: args{radius: 0, center: pixel.ZV},
want: pixel.Circle{Radius: 0, Center: pixel.ZV},
},
{
name: "C(): negative radius",
args: args{radius: -5, center: pixel.ZV},
want: pixel.Circle{Radius: -5, Center: pixel.ZV},
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
if got := pixel.C(tt.args.center, tt.args.radius); !reflect.DeepEqual(got, tt.want) {
t.Errorf("C() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_String(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
tests := []struct {
name string
fields fields
want string
}{
{
name: "Circle.String(): positive radius",
fields: fields{radius: 10, center: pixel.ZV},
want: "Circle(Vec(0, 0), 10.00)",
},
{
name: "Circle.String(): zero radius",
fields: fields{radius: 0, center: pixel.ZV},
want: "Circle(Vec(0, 0), 0.00)",
},
{
name: "Circle.String(): negative radius",
fields: fields{radius: -5, center: pixel.ZV},
want: "Circle(Vec(0, 0), -5.00)",
},
{
name: "Circle.String(): irrational radius",
fields: fields{radius: math.Pi, center: pixel.ZV},
want: "Circle(Vec(0, 0), 3.14)",
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.String(); got != tt.want {
t.Errorf("Circle.String() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Norm(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
tests := []struct {
name string
fields fields
want pixel.Circle
}{
{
name: "Circle.Norm(): positive radius",
fields: fields{radius: 10, center: pixel.ZV},
want: pixel.C(pixel.ZV, 10),
},
{
name: "Circle.Norm(): zero radius",
fields: fields{radius: 0, center: pixel.ZV},
want: pixel.C(pixel.ZV, 0),
},
{
name: "Circle.Norm(): negative radius",
fields: fields{radius: -5, center: pixel.ZV},
want: pixel.C(pixel.ZV, 5),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Norm(); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Circle.Norm() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Area(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
tests := []struct {
name string
fields fields
want float64
}{
{
name: "Circle.Area(): positive radius",
fields: fields{radius: 10, center: pixel.ZV},
want: 100 * math.Pi,
},
{
name: "Circle.Area(): zero radius",
fields: fields{radius: 0, center: pixel.ZV},
want: 0,
},
{
name: "Circle.Area(): negative radius",
fields: fields{radius: -5, center: pixel.ZV},
want: 25 * math.Pi,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Area(); got != tt.want {
t.Errorf("Circle.Area() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Moved(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
type args struct {
delta pixel.Vec
}
tests := []struct {
name string
fields fields
args args
want pixel.Circle
}{
{
name: "Circle.Moved(): positive movement",
fields: fields{radius: 10, center: pixel.ZV},
args: args{delta: pixel.V(10, 20)},
want: pixel.C(pixel.V(10, 20), 10),
},
{
name: "Circle.Moved(): zero movement",
fields: fields{radius: 10, center: pixel.ZV},
args: args{delta: pixel.ZV},
want: pixel.C(pixel.V(0, 0), 10),
},
{
name: "Circle.Moved(): negative movement",
fields: fields{radius: 10, center: pixel.ZV},
args: args{delta: pixel.V(-5, -10)},
want: pixel.C(pixel.V(-5, -10), 10),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Moved(tt.args.delta); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Circle.Moved() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Resized(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
type args struct {
radiusDelta float64
}
tests := []struct {
name string
fields fields
args args
want pixel.Circle
}{
{
name: "Circle.Resized(): positive delta",
fields: fields{radius: 10, center: pixel.ZV},
args: args{radiusDelta: 5},
want: pixel.C(pixel.V(0, 0), 15),
},
{
name: "Circle.Resized(): zero delta",
fields: fields{radius: 10, center: pixel.ZV},
args: args{radiusDelta: 0},
want: pixel.C(pixel.V(0, 0), 10),
},
{
name: "Circle.Resized(): negative delta",
fields: fields{radius: 10, center: pixel.ZV},
args: args{radiusDelta: -5},
want: pixel.C(pixel.V(0, 0), 5),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Resized(tt.args.radiusDelta); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Circle.Resized() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Contains(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
type args struct {
u pixel.Vec
}
tests := []struct {
name string
fields fields
args args
want bool
}{
{
name: "Circle.Contains(): point on cicles' center",
fields: fields{radius: 10, center: pixel.ZV},
args: args{u: pixel.ZV},
want: true,
},
{
name: "Circle.Contains(): point offcenter",
fields: fields{radius: 10, center: pixel.V(5, 0)},
args: args{u: pixel.ZV},
want: true,
},
{
name: "Circle.Contains(): point on circumference",
fields: fields{radius: 10, center: pixel.V(10, 0)},
args: args{u: pixel.ZV},
want: true,
},
{
name: "Circle.Contains(): point outside circle",
fields: fields{radius: 10, center: pixel.V(15, 0)},
args: args{u: pixel.ZV},
want: false,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Contains(tt.args.u); got != tt.want {
t.Errorf("Circle.Contains() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Union(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
type args struct {
d pixel.Circle
}
tests := []struct {
name string
fields fields
args args
want pixel.Circle
}{
{
name: "Circle.Union(): overlapping circles",
fields: fields{radius: 5, center: pixel.ZV},
args: args{d: pixel.C(pixel.ZV, 5)},
want: pixel.C(pixel.ZV, 5),
},
{
name: "Circle.Union(): separate circles",
fields: fields{radius: 1, center: pixel.ZV},
args: args{d: pixel.C(pixel.V(0, 2), 1)},
want: pixel.C(pixel.V(0, 1), 2),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(tt.fields.center, tt.fields.radius)
if got := c.Union(tt.args.d); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Circle.Union() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_Intersect(t *testing.T) {
type fields struct {
radius float64
center pixel.Vec
}
type args struct {
d pixel.Circle
}
tests := []struct {
name string
fields fields
args args
want pixel.Circle
}{
{
name: "Circle.Intersect(): intersecting circles",
fields: fields{radius: 1, center: pixel.ZV},
args: args{d: pixel.C(pixel.V(1, 0), 1)},
want: pixel.C(pixel.V(0.5, 0), 1),
},
{
name: "Circle.Intersect(): non-intersecting circles",
fields: fields{radius: 1, center: pixel.ZV},
args: args{d: pixel.C(pixel.V(3, 3), 1)},
want: pixel.C(pixel.V(1.5, 1.5), 0),
},
{
name: "Circle.Intersect(): first circle encompassing second",
fields: fields{radius: 10, center: pixel.ZV},
args: args{d: pixel.C(pixel.V(3, 3), 1)},
want: pixel.C(pixel.ZV, 10),
},
{
name: "Circle.Intersect(): second circle encompassing first",
fields: fields{radius: 1, center: pixel.V(-1, -4)},
args: args{d: pixel.C(pixel.ZV, 10)},
want: pixel.C(pixel.ZV, 10),
},
{
name: "Circle.Intersect(): matching circles",
fields: fields{radius: 1, center: pixel.ZV},
args: args{d: pixel.C(pixel.ZV, 1)},
want: pixel.C(pixel.ZV, 1),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.C(
tt.fields.center,
tt.fields.radius,
)
if got := c.Intersect(tt.args.d); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Circle.Intersect() = %v, want %v", got, tt.want)
}
})
}
}
func TestCircle_IntersectPoints(t *testing.T) {
type fields struct {
Center pixel.Vec
Radius float64
}
type args struct {
l pixel.Line
}
tests := []struct {
name string
fields fields
args args
want []pixel.Vec
}{
{
name: "Line intersects circle at two points",
fields: fields{Center: pixel.V(2, 2), Radius: 1},
args: args{pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: []pixel.Vec{pixel.V(1.292, 1.292), pixel.V(2.707, 2.707)},
},
{
name: "Line intersects circle at one point",
fields: fields{Center: pixel.V(-0.5, -0.5), Radius: 1},
args: args{pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: []pixel.Vec{pixel.V(0.207, 0.207)},
},
{
name: "Line endpoint is circle center",
fields: fields{Center: pixel.V(0, 0), Radius: 1},
args: args{pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: []pixel.Vec{pixel.V(0.707, 0.707)},
},
{
name: "Both line endpoints within circle",
fields: fields{Center: pixel.V(0, 0), Radius: 1},
args: args{pixel.L(pixel.V(0.2, 0.2), pixel.V(0.5, 0.5))},
want: []pixel.Vec{},
},
{
name: "Line does not intersect circle",
fields: fields{Center: pixel.V(10, 0), Radius: 1},
args: args{pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: []pixel.Vec{},
},
{
name: "Horizontal line intersects circle at two points",
fields: fields{Center: pixel.V(5, 5), Radius: 1},
args: args{pixel.L(pixel.V(0, 5), pixel.V(10, 5))},
want: []pixel.Vec{pixel.V(4, 5), pixel.V(6, 5)},
},
{
name: "Vertical line intersects circle at two points",
fields: fields{Center: pixel.V(5, 5), Radius: 1},
args: args{pixel.L(pixel.V(5, 0), pixel.V(5, 10))},
want: []pixel.Vec{pixel.V(5, 4), pixel.V(5, 6)},
},
{
name: "Left and down line intersects circle at two points",
fields: fields{Center: pixel.V(5, 5), Radius: 1},
args: args{pixel.L(pixel.V(10, 10), pixel.V(0, 0))},
want: []pixel.Vec{pixel.V(5.707, 5.707), pixel.V(4.292, 4.292)},
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
c := pixel.Circle{
Center: tt.fields.Center,
Radius: tt.fields.Radius,
}
got := c.IntersectionPoints(tt.args.l)
for i, v := range got {
if !closeEnough(v.X, tt.want[i].X, 2) || !closeEnough(v.Y, tt.want[i].Y, 2) {
t.Errorf("Circle.IntersectPoints() = %v, want %v", v, tt.want[i])
}
}
})
}
}
func TestRect_IntersectCircle(t *testing.T) {
type fields struct {
Min pixel.Vec
Max pixel.Vec
}
type args struct {
c pixel.Circle
}
tests := []struct {
name string
fields fields
args args
want pixel.Vec
}{
{
name: "Rect.IntersectCircle(): no overlap",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(50, 50), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): circle contains rect",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, 5), 10)},
want: pixel.V(-15, 0),
},
{
name: "Rect.IntersectCircle(): rect contains circle",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, 5), 1)},
want: pixel.V(-6, 0),
},
{
name: "Rect.IntersectCircle(): circle overlaps bottom-left corner",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(-0.5, -0.5), 1)},
want: pixel.V(-0.2, -0.2),
},
{
name: "Rect.IntersectCircle(): circle overlaps top-left corner",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(-0.5, 10.5), 1)},
want: pixel.V(-0.2, 0.2),
},
{
name: "Rect.IntersectCircle(): circle overlaps bottom-right corner",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(10.5, -0.5), 1)},
want: pixel.V(0.2, -0.2),
},
{
name: "Rect.IntersectCircle(): circle overlaps top-right corner",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(10.5, 10.5), 1)},
want: pixel.V(0.2, 0.2),
},
{
name: "Rect.IntersectCircle(): circle overlaps two corners",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(0, 5), 6)},
want: pixel.V(6, 0),
},
{
name: "Rect.IntersectCircle(): circle overlaps left edge",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(0, 5), 1)},
want: pixel.V(1, 0),
},
{
name: "Rect.IntersectCircle(): circle overlaps bottom edge",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, 0), 1)},
want: pixel.V(0, 1),
},
{
name: "Rect.IntersectCircle(): circle overlaps right edge",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(10, 5), 1)},
want: pixel.V(-1, 0),
},
{
name: "Rect.IntersectCircle(): circle overlaps top edge",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, 10), 1)},
want: pixel.V(0, -1),
},
{
name: "Rect.IntersectCircle(): edge is tangent of left side",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(-1, 5), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): edge is tangent of top side",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, -1), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): circle above rectangle",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, 12), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): circle below rectangle",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(5, -2), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): circle left of rectangle",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(-1, 5), 1)},
want: pixel.ZV,
},
{
name: "Rect.IntersectCircle(): circle right of rectangle",
fields: fields{Min: pixel.ZV, Max: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(11, 5), 1)},
want: pixel.ZV,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
r := pixel.Rect{
Min: tt.fields.Min,
Max: tt.fields.Max,
}
got := r.IntersectCircle(tt.args.c)
if !closeEnough(got.X, tt.want.X, 2) || !closeEnough(got.Y, tt.want.Y, 2) {
t.Errorf("Rect.IntersectCircle() = %v, want %v", got, tt.want)
}
})
}
}
func TestRect_IntersectionPoints(t *testing.T) {
in := func(v pixel.Vec, vs []pixel.Vec) bool {
for _, vec := range vs {
if vec == v {
return true
}
}
return false
}
type fields struct {
Min pixel.Vec
Max pixel.Vec
}
type args struct {
l pixel.Line
}
tests := []struct {
name string
fields fields
args args
want []pixel.Vec
}{
{
name: "No intersection points",
fields: fields{Min: pixel.V(1, 1), Max: pixel.V(5, 5)},
args: args{l: pixel.L(pixel.V(-5, 0), pixel.V(-2, 2))},
want: []pixel.Vec{},
},
{
name: "One intersection point",
fields: fields{Min: pixel.V(1, 1), Max: pixel.V(5, 5)},
args: args{l: pixel.L(pixel.V(2, 0), pixel.V(2, 3))},
want: []pixel.Vec{pixel.V(2, 1)},
},
{
name: "Two intersection points",
fields: fields{Min: pixel.V(1, 1), Max: pixel.V(5, 5)},
args: args{l: pixel.L(pixel.V(0, 2), pixel.V(6, 2))},
want: []pixel.Vec{pixel.V(1, 2), pixel.V(5, 2)},
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
r := pixel.Rect{
Min: tt.fields.Min,
Max: tt.fields.Max,
}
got := r.IntersectionPoints(tt.args.l)
if len(got) != len(tt.want) {
t.Errorf("Rect.IntersectPoints() has incorrect length. Expected %d, got %d", len(tt.want), len(got))
}
for _, v := range got {
if !in(v, tt.want) {
t.Errorf("Rect.IntersectPoints(): got unexpected result = %v", v)
}
}
})
}
}
func TestLine_Bounds(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
tests := []struct {
name string
fields fields
want pixel.Rect
}{
{
name: "Positive slope",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
want: pixel.R(0, 0, 10, 10),
},
{
name: "Negative slope",
fields: fields{A: pixel.V(10, 10), B: pixel.V(0, 0)},
want: pixel.R(0, 0, 10, 10),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Bounds(); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.Bounds() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Center(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
tests := []struct {
name string
fields fields
want pixel.Vec
}{
{
name: "Positive slope",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
want: pixel.V(5, 5),
},
{
name: "Negative slope",
fields: fields{A: pixel.V(10, 10), B: pixel.V(0, 0)},
want: pixel.V(5, 5),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Center(); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.Center() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Closest(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
v pixel.Vec
}
tests := []struct {
name string
fields fields
args args
want pixel.Vec
}{
{
name: "Point on line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(5, 5)},
want: pixel.V(5, 5),
},
{
name: "Point on next to line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(0, 10)},
want: pixel.V(5, 5),
},
{
name: "Point on next to vertical line",
fields: fields{A: pixel.V(5, 0), B: pixel.V(5, 10)},
args: args{v: pixel.V(6, 5)},
want: pixel.V(5, 5),
},
{
name: "Point on next to horizontal line",
fields: fields{A: pixel.V(0, 5), B: pixel.V(10, 5)},
args: args{v: pixel.V(5, 6)},
want: pixel.V(5, 5),
},
{
name: "Point far from line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(80, -70)},
want: pixel.V(5, 5),
},
{
name: "Point on inline with line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(20, 20)},
want: pixel.V(10, 10),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Closest(tt.args.v); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.Closest() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Contains(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
v pixel.Vec
}
tests := []struct {
name string
fields fields
args args
want bool
}{
{
name: "Point on line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(5, 5)},
want: true,
},
{
name: "Point on negative sloped line",
fields: fields{A: pixel.V(0, 10), B: pixel.V(10, 0)},
args: args{v: pixel.V(5, 5)},
want: true,
},
{
name: "Point not on line",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{v: pixel.V(0, 10)},
want: false,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Contains(tt.args.v); got != tt.want {
t.Errorf("Line.Contains() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Formula(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
tests := []struct {
name string
fields fields
wantM float64
wantB float64
}{
{
name: "Getting formula - 45 degs",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
wantM: 1,
wantB: 0,
},
{
name: "Getting formula - 90 degs",
fields: fields{A: pixel.V(0, 0), B: pixel.V(0, 10)},
wantM: math.Inf(1),
wantB: math.NaN(),
},
{
name: "Getting formula - 0 degs",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 0)},
wantM: 0,
wantB: 0,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
gotM, gotB := l.Formula()
if gotM != tt.wantM {
t.Errorf("Line.Formula() gotM = %v, want %v", gotM, tt.wantM)
}
if gotB != tt.wantB {
if math.IsNaN(tt.wantB) && !math.IsNaN(gotB) {
t.Errorf("Line.Formula() gotB = %v, want %v", gotB, tt.wantB)
}
}
})
}
}
func TestLine_Intersect(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
k pixel.Line
}
tests := []struct {
name string
fields fields
args args
want pixel.Vec
want1 bool
}{
{
name: "Lines intersect",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{k: pixel.L(pixel.V(0, 10), pixel.V(10, 0))},
want: pixel.V(5, 5),
want1: true,
},
{
name: "Lines intersect 2",
fields: fields{A: pixel.V(5, 1), B: pixel.V(1, 1)},
args: args{k: pixel.L(pixel.V(2, 0), pixel.V(2, 3))},
want: pixel.V(2, 1),
want1: true,
},
{
name: "Line intersect with vertical",
fields: fields{A: pixel.V(5, 0), B: pixel.V(5, 10)},
args: args{k: pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: pixel.V(5, 5),
want1: true,
},
{
name: "Line intersect with horizontal",
fields: fields{A: pixel.V(0, 5), B: pixel.V(10, 5)},
args: args{k: pixel.L(pixel.V(0, 0), pixel.V(10, 10))},
want: pixel.V(5, 5),
want1: true,
},
{
name: "Lines don't intersect",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{k: pixel.L(pixel.V(0, 10), pixel.V(1, 20))},
want: pixel.ZV,
want1: false,
},
{
name: "Lines don't intersect 2",
fields: fields{A: pixel.V(1, 1), B: pixel.V(1, 5)},
args: args{k: pixel.L(pixel.V(-5, 0), pixel.V(-2, 2))},
want: pixel.ZV,
want1: false,
},
{
name: "Lines don't intersect 3",
fields: fields{A: pixel.V(2, 0), B: pixel.V(2, 3)},
args: args{k: pixel.L(pixel.V(1, 5), pixel.V(5, 5))},
want: pixel.ZV,
want1: false,
},
{
name: "Lines parallel",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{k: pixel.L(pixel.V(0, 1), pixel.V(10, 11))},
want: pixel.ZV,
want1: false,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
got, got1 := l.Intersect(tt.args.k)
if !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.Intersect() got = %v, want %v", got, tt.want)
}
if got1 != tt.want1 {
t.Errorf("Line.Intersect() got1 = %v, want %v", got1, tt.want1)
}
})
}
}
func TestLine_IntersectCircle(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
c pixel.Circle
}
tests := []struct {
name string
fields fields
args args
want pixel.Vec
}{
{
name: "Cirle intersects",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(6, 4), 2)},
want: pixel.V(0.5857864376269049, -0.5857864376269049),
},
{
name: "Cirle doesn't intersects",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{c: pixel.C(pixel.V(0, 5), 1)},
want: pixel.ZV,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.IntersectCircle(tt.args.c); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.IntersectCircle() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_IntersectRect(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
r pixel.Rect
}
tests := []struct {
name string
fields fields
args args
want pixel.Vec
}{
{
name: "Line through rect vertically",
fields: fields{A: pixel.V(0, 0), B: pixel.V(0, 10)},
args: args{r: pixel.R(-1, 1, 5, 5)},
want: pixel.V(-1, 0),
},
{
name: "Line through rect horizontally",
fields: fields{A: pixel.V(0, 1), B: pixel.V(10, 1)},
args: args{r: pixel.R(1, 0, 5, 5)},
want: pixel.V(0, -1),
},
{
name: "Line through rect diagonally bottom and left edges",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{r: pixel.R(0, 2, 3, 3)},
want: pixel.V(-1, 1),
},
{
name: "Line through rect diagonally top and right edges",
fields: fields{A: pixel.V(10, 0), B: pixel.V(0, 10)},
args: args{r: pixel.R(5, 0, 8, 3)},
want: pixel.V(-2.5, -2.5),
},
{
name: "Line with not rect intersect",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{r: pixel.R(20, 20, 21, 21)},
want: pixel.ZV,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.IntersectRect(tt.args.r); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.IntersectRect() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Len(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
tests := []struct {
name string
fields fields
want float64
}{
{
name: "End right-up of start",
fields: fields{A: pixel.V(0, 0), B: pixel.V(3, 4)},
want: 5,
},
{
name: "End left-up of start",
fields: fields{A: pixel.V(0, 0), B: pixel.V(-3, 4)},
want: 5,
},
{
name: "End right-down of start",
fields: fields{A: pixel.V(0, 0), B: pixel.V(3, -4)},
want: 5,
},
{
name: "End left-down of start",
fields: fields{A: pixel.V(0, 0), B: pixel.V(-3, -4)},
want: 5,
},
{
name: "End same as start",
fields: fields{A: pixel.V(0, 0), B: pixel.V(0, 0)},
want: 0,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Len(); got != tt.want {
t.Errorf("Line.Len() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Rotated(t *testing.T) {
// round returns the nearest integer, rounding ties away from zero.
// This is required because `math.Round` wasn't introduced until Go1.10
round := func(x float64) float64 {
t := math.Trunc(x)
if math.Abs(x-t) >= 0.5 {
return t + math.Copysign(1, x)
}
return t
}
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
around pixel.Vec
angle float64
}
tests := []struct {
name string
fields fields
args args
want pixel.Line
}{
{
name: "Rotating around line center",
fields: fields{A: pixel.V(1, 1), B: pixel.V(3, 3)},
args: args{around: pixel.V(2, 2), angle: math.Pi},
want: pixel.L(pixel.V(3, 3), pixel.V(1, 1)),
},
{
name: "Rotating around x-y origin",
fields: fields{A: pixel.V(1, 1), B: pixel.V(3, 3)},
args: args{around: pixel.V(0, 0), angle: math.Pi},
want: pixel.L(pixel.V(-1, -1), pixel.V(-3, -3)),
},
{
name: "Rotating around line end",
fields: fields{A: pixel.V(1, 1), B: pixel.V(3, 3)},
args: args{around: pixel.V(1, 1), angle: math.Pi},
want: pixel.L(pixel.V(1, 1), pixel.V(-1, -1)),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
// Have to round the results, due to floating-point in accuracies. Results are correct to approximately
// 10 decimal places.
got := l.Rotated(tt.args.around, tt.args.angle)
if round(got.A.X) != tt.want.A.X ||
round(got.B.X) != tt.want.B.X ||
round(got.A.Y) != tt.want.A.Y ||
round(got.B.Y) != tt.want.B.Y {
t.Errorf("Line.Rotated() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_Scaled(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
scale float64
}
tests := []struct {
name string
fields fields
args args
want pixel.Line
}{
{
name: "Scaling by 1",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{scale: 1},
want: pixel.L(pixel.V(0, 0), pixel.V(10, 10)),
},
{
name: "Scaling by >1",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{scale: 2},
want: pixel.L(pixel.V(-5, -5), pixel.V(15, 15)),
},
{
name: "Scaling by <1",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{scale: 0.5},
want: pixel.L(pixel.V(2.5, 2.5), pixel.V(7.5, 7.5)),
},
{
name: "Scaling by -1",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{scale: -1},
want: pixel.L(pixel.V(10, 10), pixel.V(0, 0)),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.Scaled(tt.args.scale); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.Scaled() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_ScaledXY(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
type args struct {
around pixel.Vec
scale float64
}
tests := []struct {
name string
fields fields
args args
want pixel.Line
}{
{
name: "Scaling by 1 around origin",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{around: pixel.ZV, scale: 1},
want: pixel.L(pixel.V(0, 0), pixel.V(10, 10)),
},
{
name: "Scaling by >1 around origin",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{around: pixel.ZV, scale: 2},
want: pixel.L(pixel.V(0, 0), pixel.V(20, 20)),
},
{
name: "Scaling by <1 around origin",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{around: pixel.ZV, scale: 0.5},
want: pixel.L(pixel.V(0, 0), pixel.V(5, 5)),
},
{
name: "Scaling by -1 around origin",
fields: fields{A: pixel.V(0, 0), B: pixel.V(10, 10)},
args: args{around: pixel.ZV, scale: -1},
want: pixel.L(pixel.V(0, 0), pixel.V(-10, -10)),
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.ScaledXY(tt.args.around, tt.args.scale); !reflect.DeepEqual(got, tt.want) {
t.Errorf("Line.ScaledXY() = %v, want %v", got, tt.want)
}
})
}
}
func TestLine_String(t *testing.T) {
type fields struct {
A pixel.Vec
B pixel.Vec
}
tests := []struct {
name string
fields fields
want string
}{
{
name: "Getting string",
fields: fields{A: pixel.V(0, 0), B: pixel.V(1, 1)},
want: "Line(Vec(0, 0), Vec(1, 1))",
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
l := pixel.Line{
A: tt.fields.A,
B: tt.fields.B,
}
if got := l.String(); got != tt.want {
t.Errorf("Line.String() = %v, want %v", got, tt.want)
}
})
}
}