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affine_test.go
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affine_test.go
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package gaul
import (
"github.com/stretchr/testify/assert"
"math"
"testing"
)
// TestAffine2D_Mult tests basic matrix multiplication
func TestAffine2D_Mult(t *testing.T) {
assert := assert.New(t)
matrix1 := Affine2D{
a: 2,
b: 3,
c: 5,
d: 7,
e: 11,
f: 13,
g: 17,
h: 19,
i: 23,
}
matrix2 := Affine2D{
a: 29,
b: 31,
c: 37,
d: 41,
e: 43,
f: 47,
g: 53,
h: 59,
i: 61,
}
result := Mult(&matrix1, &matrix2)
assert.Equal(446.0, result.a)
assert.Equal(486.0, result.b)
assert.Equal(520.0, result.c)
assert.Equal(1343.0, result.d)
assert.Equal(1457.0, result.e)
assert.Equal(1569.0, result.f)
assert.Equal(2491.0, result.g)
assert.Equal(2701.0, result.h)
assert.Equal(2925.0, result.i)
}
// TestAffine2D_Add tests basic matrix addition
func TestAffine2D_Add(t *testing.T) {
assert := assert.New(t)
matrix1 := Affine2D{
a: 2,
b: 3,
c: 5,
d: 7,
e: 11,
f: 13,
g: 17,
h: 19,
i: 23,
}
matrix2 := Affine2D{
a: 29,
b: 31,
c: 37,
d: 41,
e: 43,
f: 47,
g: 53,
h: 59,
i: 61,
}
result := Add(&matrix1, &matrix2)
assert.Equal(31.0, result.a)
assert.Equal(34.0, result.b)
assert.Equal(42.0, result.c)
assert.Equal(48.0, result.d)
assert.Equal(54.0, result.e)
assert.Equal(60.0, result.f)
assert.Equal(70.0, result.g)
assert.Equal(78.0, result.h)
assert.Equal(84.0, result.i)
}
// TestAffine2D_Transform tests vector transformations
func TestAffine2D_Transform(t *testing.T) {
assert := assert.New(t)
// Identity transform, should not change anything
affine1 := NewAffine2D()
vec := Vec2{X: 1.2, Y: -1.3}
result1 := affine1.Transform(vec)
assert.Equal(1.2, result1.X)
assert.Equal(-1.3, result1.Y)
affine2 := NewAffine2DWithScale(2, 3)
result2 := affine2.Transform(vec)
assert.True(Equalf(2.4, result2.X))
assert.True(Equalf(-3.9, result2.Y))
vec2 := Vec2{X: 1, Y: 0}
affine3 := NewAffine2DWithRotation(Deg2Rad(90))
result3 := affine3.Transform(vec2)
assert.True(Equalf(0, result3.X))
assert.Equal(1.0, result3.Y)
affine4 := NewAffine2DWithTranslation(-1, 1)
result4 := affine4.Transform(vec)
assert.True(Equalf(0.2, result4.X))
assert.True(Equalf(-0.3, result4.Y))
}
// TestAffine2D_Transform tests point transformations
func TestAffine2D_TransformPoint(t *testing.T) {
// Identity transform, should not change anything
affine1 := NewAffine2D()
point := Point{X: 1.2, Y: -1.3}
result1 := affine1.TransformPoint(point)
assert.Equal(t, 1.2, result1.X)
assert.Equal(t, -1.3, result1.Y)
affine2 := NewAffine2DWithScale(2, 3)
result2 := affine2.TransformPoint(point)
assert.True(t, Equalf(2.4, result2.X))
assert.True(t, Equalf(-3.9, result2.Y))
point2 := Point{X: 1, Y: 0}
affine3 := NewAffine2DWithRotation(Deg2Rad(90))
result3 := affine3.TransformPoint(point2)
assert.True(t, Equalf(0, result3.X))
assert.Equal(t, 1.0, result3.Y)
affine4 := NewAffine2DWithTranslation(-1, 1)
result4 := affine4.TransformPoint(point)
assert.True(t, Equalf(0.2, result4.X))
assert.True(t, Equalf(-0.3, result4.Y))
}
func TestAffine2D_TransformLine(t *testing.T) {
assert := assert.New(t)
affine1 := NewAffine2D()
line := Line{
P: Point{X: 1, Y: 1},
Q: Point{X: 2, Y: 2},
}
result1 := affine1.TransformLine(line)
assert.Equal(1.0, result1.P.X)
assert.Equal(1.0, result1.P.Y)
assert.Equal(2.0, result1.Q.X)
assert.Equal(2.0, result1.Q.Y)
affine2 := NewAffine2DWithShear(-0.2, 0.3)
result2 := affine2.TransformLine(line)
assert.Equal(0.8, result2.P.X)
assert.Equal(1.3, result2.P.Y)
assert.Equal(1.6, result2.Q.X)
assert.Equal(2.6, result2.Q.Y)
}
func TestAffine2D_TransformCurve(t *testing.T) {
assert := assert.New(t)
affine1 := NewAffine2D()
var curve Curve
curve.Closed = true
curve.AddPoint(0, 0)
curve.AddPoint(1, 0)
curve.AddPoint(1, 1)
curve.AddPoint(0, 1)
result1 := affine1.TransformCurve(curve)
assert.Equal(0.0, result1.Points[0].X)
assert.Equal(0.0, result1.Points[0].Y)
assert.Equal(1.0, result1.Points[1].X)
assert.Equal(0.0, result1.Points[1].Y)
assert.Equal(1.0, result1.Points[2].X)
assert.Equal(1.0, result1.Points[2].Y)
assert.Equal(0.0, result1.Points[3].X)
assert.Equal(1.0, result1.Points[3].Y)
rotate45 := NewAffine2DWithRotation(Deg2Rad(45))
result2 := rotate45.TransformCurve(curve)
assert.True(Equalf(0.0, result2.Points[0].X))
assert.True(Equalf(0.0, result2.Points[0].Y))
assert.True(Equalf(math.Sqrt2/2, result2.Points[1].X))
assert.True(Equalf(math.Sqrt2/2, result2.Points[1].Y))
assert.True(Equalf(0.0, result2.Points[2].X))
assert.True(Equalf(math.Sqrt2, result2.Points[2].Y))
assert.True(Equalf(-math.Sqrt2/2, result2.Points[3].X))
assert.True(Equalf(math.Sqrt2/2, result2.Points[3].Y))
scale := NewAffine2DWithScale(5, 5)
result3 := scale.TransformCurve(result2)
assert.True(Equalf(0.0, result3.Points[0].X))
assert.True(Equalf(0.0, result3.Points[0].Y))
assert.True(Equalf(5*math.Sqrt2/2, result3.Points[1].X))
assert.True(Equalf(5*math.Sqrt2/2, result3.Points[1].Y))
assert.True(Equalf(0.0, result3.Points[2].X))
assert.True(Equalf(5*math.Sqrt2, result3.Points[2].Y))
assert.True(Equalf(-5*math.Sqrt2/2, result3.Points[3].X))
assert.True(Equalf(5*math.Sqrt2/2, result3.Points[3].Y))
}
func TestAffine2D_RotateAboutPoint(t *testing.T) {
assert := assert.New(t)
// unit square
var curve Curve
curve.Closed = true
curve.AddPoint(0, 0)
curve.AddPoint(1, 0)
curve.AddPoint(1, 1)
curve.AddPoint(0, 1)
// first translate center to orign
centerToOrigin := NewAffine2DWithTranslation(-0.5, -0.5)
rotation := NewAffine2DWithRotation(Deg2Rad(45))
backToCenter := NewAffine2DWithTranslation(0.5, 0.5)
t1 := centerToOrigin.TransformCurve(curve)
t2 := rotation.TransformCurve(t1)
t3 := backToCenter.TransformCurve(t2)
assert.True(Equalf(0.5, t3.Points[0].X))
assert.True(Equalf(0.5-math.Sqrt2/2, t3.Points[0].Y))
assert.True(Equalf(0.5+math.Sqrt2/2, t3.Points[1].X))
assert.True(Equalf(0.5, t3.Points[1].Y))
assert.True(Equalf(0.5, t3.Points[2].X))
assert.True(Equalf(0.5+math.Sqrt2/2, t3.Points[2].Y))
assert.True(Equalf(0.5-math.Sqrt2/2, t3.Points[3].X))
assert.True(Equalf(0.5, t3.Points[3].Y))
}
func TestAffine2D_RotateCurveAboutPoint(t *testing.T) {
assert := assert.New(t)
// same as above but using the builtin function
var curve Curve
curve.Closed = true
curve.AddPoint(0, 0)
curve.AddPoint(1, 0)
curve.AddPoint(1, 1)
curve.AddPoint(0, 1)
affine := NewAffine2D()
result := affine.RotateCurveAboutPoint(curve, Deg2Rad(45), Point{X: 0.5, Y: 0.5})
assert.True(Equalf(0.5, result.Points[0].X))
assert.True(Equalf(0.5-math.Sqrt2/2, result.Points[0].Y))
assert.True(Equalf(0.5+math.Sqrt2/2, result.Points[1].X))
assert.True(Equalf(0.5, result.Points[1].Y))
assert.True(Equalf(0.5, result.Points[2].X))
assert.True(Equalf(0.5+math.Sqrt2/2, result.Points[2].Y))
assert.True(Equalf(0.5-math.Sqrt2/2, result.Points[3].X))
assert.True(Equalf(0.5, result.Points[3].Y))
}