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transformations.jl
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transformations.jl
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using Makie: PointTrans, apply_transform
using LinearAlgebra
function xyz_boundingbox(trans, points)
bb_ref = Base.RefValue(Rect3f())
Makie.foreach_transformed(points, Mat4f(I), trans) do point
Makie.update_boundingbox!(bb_ref, point)
end
return bb_ref[]
end
@testset "Basic transforms" begin
function fpoint2(x::Point2)
return Point2f(x[1] + 10, x[2] - 77)
end
function fpoint3(x::Point3)
return Point3f(x[1] + 10, x[2] - 77, x[3] / 4)
end
trans2 = PointTrans{2}(fpoint2)
trans3 = PointTrans{3}(fpoint3)
points2 = [Point2f(0, 0), Point2f(0, 1)]
bb = xyz_boundingbox(trans2, points2)
@test bb == Rect(Vec3f(10, -77, 0), Vec3f(0, 1, 0))
bb = xyz_boundingbox(trans3, points2)
@test bb == Rect(Vec3f(10, -77, 0), Vec3f(0, 1, 0))
points3 = [Point3f(0, 0, 4), Point3f(0, 1, -8)]
bb = xyz_boundingbox(trans2, points3)
@test bb == Rect(Vec3f(10, -77, -8), Vec3f(0, 1, 12))
bb = xyz_boundingbox(trans3, points3)
@test bb == Rect(Vec3f(10, -77, -2.0), Vec3f(0, 1, 3.0))
@test apply_transform(trans2, points2) == fpoint2.(points2)
@test apply_transform(trans3, points3) == fpoint3.(points3)
@test_throws ErrorException PointTrans{2}(x::Int -> x)
@test_throws ErrorException PointTrans{3}(x::Int -> x)
end
@testset "Tuple and identity transforms" begin
t1 = sqrt
t2 = (sqrt, log)
t3 = (sqrt, log, log10)
p2 = Point(2.0, 5.0)
p3 = Point(2.0, 5.0, 4.0)
@test apply_transform(identity, p2) == p2
@test apply_transform(identity, p3) == p3
@test apply_transform(t1, p2) == Point(sqrt(2.0), sqrt(5.0))
@test apply_transform(t1, p3) == Point(sqrt(2.0), sqrt(5.0), sqrt(4.0))
@test apply_transform(t2, p2) == Point2f(sqrt(2.0), log(5.0))
@test apply_transform(t2, p3) == Point3f(sqrt(2.0), log(5.0), 4.0)
@test apply_transform(t3, p3) == Point3f(sqrt(2.0), log(5.0), log10(4.0))
i2 = (identity, identity)
i3 = (identity, identity, identity)
@test apply_transform(i2, p2) == p2
@test apply_transform(i3, p3) == p3
# test that identity gives back exact same arrays without copying
p2s = Point2f[(1, 2), (3, 4)]
@test apply_transform(identity, p2s) === p2s
@test apply_transform(i2, p2s) === p2s
@test apply_transform(i3, p2s) === p2s
p3s = Point3f[(1, 2, 3), (3, 4, 5)]
@test apply_transform(identity, p3s) === p3s
@test apply_transform(i2, p3s) === p3s
@test apply_transform(i3, p3s) === p3s
@test apply_transform(identity, 1) == 1
@test apply_transform(i2, 1) == 1
@test apply_transform(i3, 1) == 1
@test apply_transform(identity, 1..2) == 1..2
@test apply_transform(i2, 1..2) == 1..2
@test apply_transform(i3, 1..2) == 1..2
pa = Point2f(1, 2)
pb = Point2f(3, 4)
r2 = Rect2f(pa, pb .- pa)
@test apply_transform(t1, r2) == Rect2f(apply_transform(t1, pa), apply_transform(t1, pb) .- apply_transform(t1, pa) )
end
@testset "Polar Transform" begin
tf = Makie.Polar()
@test tf.theta_0 == 0.0
@test tf.direction == 1
input = Point2f.(1:6, [0, pi/3, pi/2, pi, 2pi, 3pi])
output = [r * Point2f(cos(phi), sin(phi)) for (r, phi) in input]
inv = Point2f.(1:6, mod.([0, pi/3, pi/2, pi, 2pi, 3pi], (0..2pi,)))
@test apply_transform(tf, input) ≈ output
@test apply_transform(Makie.inverse_transform(tf), output) ≈ inv
tf = Makie.Polar(pi/2)
output = [r * Point2f(cos(phi+pi/2), sin(phi+pi/2)) for (r, phi) in input]
@test apply_transform(tf, input) ≈ output
@test apply_transform(Makie.inverse_transform(tf), output) ≈ inv
tf = Makie.Polar(pi/2, -1)
output = [r * Point2f(cos(-phi-pi/2), sin(-phi-pi/2)) for (r, phi) in input]
@test apply_transform(tf, input) ≈ output
@test apply_transform(Makie.inverse_transform(tf), output) ≈ inv
end
@testset "Coordinate Systems" begin
funcs = [Makie.is_data_space, Makie.is_pixel_space, Makie.is_relative_space, Makie.is_clip_space]
spaces = [:data, :pixel, :relative, :clip]
for (i, f) in enumerate(funcs)
for j in 1:4
@test f(spaces[j]) == (i == j)
end
end
scene = Scene(cam = cam3d!)
scatter!(scene, [Point3f(-10), Point3f(10)])
for space in vcat(spaces...)
@test Makie.clip_to_space(scene.camera, space) * Makie.space_to_clip(scene.camera, space) ≈ Mat4f(I)
end
end
@testset "Bounding box utilities" begin
box = Rect2f(0,0,1,1)
@test Makie.rotatedrect(box, π) == Rect2f(-1, -1, 1, 1)
@test Makie.rotatedrect(box, π/2) == Rect2f(0, -1, 1, 1)
@test all(Makie.rotatedrect(box, π/4).origin .≈ Rect2f(0, -1/(√2f0), √2f0, √2f0).origin)
@test all(Makie.rotatedrect(box, π/4).widths .≈ Rect2f(0, -1/(√2f0), √2f0, √2f0).widths)
end
@testset "Space dependent transforms" begin
t1 = sqrt
t2 = (sqrt, log)
t3 = (sqrt, log, log10)
p2 = Point(2.0, 5.0)
p3 = Point(2.0, 5.0, 4.0)
spaces_and_desired_transforms = Dict(
:data => (x,y) -> y, # uses changes
:clip => (x,y) -> x, # no change
:relative => (x,y) -> x, # no change
:pixel => (x,y) -> x, # no transformation
)
for (space, desired_transform) in spaces_and_desired_transforms
@test apply_transform(identity, p2, space) == p2
@test apply_transform(identity, p3, space) == p3
@test apply_transform(t1, p2, space) == desired_transform(p2, Point(sqrt(2.0), sqrt(5.0)))
@test apply_transform(t1, p3, space) == desired_transform(p3, Point(sqrt(2.0), sqrt(5.0), sqrt(4.0)))
@test apply_transform(t2, p2, space) == desired_transform(p2, Point2f(sqrt(2.0), log(5.0)))
@test apply_transform(t2, p3, space) == desired_transform(p3, Point3f(sqrt(2.0), log(5.0), 4.0))
@test apply_transform(t3, p3, space) == desired_transform(p3, Point3f(sqrt(2.0), log(5.0), log10(4.0)))
end
end