Add origin to Transformation

[ffreyer]

Description

Related: #4445, #2637

This adds an origin to Transformation so that rotate!() and scale!() can be relative to something other than Vec3(0). It can be set with translate_origin!() just like translate!().

Example:

p = rand(Point2f)
rect = Rect2f(p .- 0.1, Vec2f(0.2))

fig = Figure()
sl = Slider(fig[1, 1], range = range(0, 2pi, length=101))
ax = Axis(fig[2, 1], aspect = DataAspect())
p1 = poly!(ax, rect, color = :orange)
p2 = lines!(ax, rect, color = :red)
xlims!(ax, -1.5, 1.5)
ylims!(ax, -1.1, 1.1)

on(sl.value) do angle
    center = to_ndim(Vec3f, p, 0)

    R = Makie.rotationmatrix_z(angle)
    T = Makie.translationmatrix(-center)
    Tinv = Makie.translationmatrix(center)
    p1.transformation.model[] = Tinv * R * T # Did we break setting plot.model?
    
    translate_origin!(p2, p)
    Makie.rotate!(p2, angle)
end

fig

Type of change

• New feature (non-breaking change which adds functionality)

Checklist

• Added an entry in CHANGELOG.md (for new features and breaking changes)
• Added or changed relevant sections in the documentation
• Added unit tests for new algorithms, conversion methods, etc.
• Added reference image tests for new plotting functions, recipes, visual options, etc.

[MakieBot]

Compile Times benchmark

Note, that these numbers may fluctuate on the CI servers, so take them with a grain of salt. All benchmark results are based on the mean time and negative percent mean faster than the base branch. Note, that GLMakie + WGLMakie run on an emulated GPU, so the runtime benchmark is much slower. Results are from running:

using_time = @ctime using Backend
# Compile time
create_time = @ctime fig = scatter(1:4; color=1:4, colormap=:turbo, markersize=20, visible=true)
display_time = @ctime Makie.colorbuffer(display(fig))
# Runtime
create_time = @benchmark fig = scatter(1:4; color=1:4, colormap=:turbo, markersize=20, visible=true)
display_time = @benchmark Makie.colorbuffer(fig)

	using	create	display	create	display
GLMakie	5.04s (4.98, 5.07) 0.03+-	109.12ms (107.87, 112.46) 1.58+-	414.27ms (410.25, 418.08) 2.86+-	9.54ms (9.34, 9.81) 0.17+-	25.69ms (25.63, 25.73) 0.03+-
master	5.05s (4.99, 5.10) 0.04+-	109.24ms (108.23, 110.36) 0.80+-	647.38ms (641.41, 656.41) 5.52+-	8.28ms (8.18, 8.38) 0.07+-	25.83ms (25.73, 26.14) 0.15+-
evaluation	1.00x invariant, -0.01s (-0.21d, 0.70p, 0.04std)	1.00x invariant, -0.12ms (-0.10d, 0.86p, 1.19std)	1.56x faster✅, -233.11ms (-53.03d, 0.00p, 4.19std)	0.87x slower❌, 1.26ms (9.70d, 0.00p, 0.12std)	1.01x faster ✓, -0.14ms (-1.36d, 0.04p, 0.09std)
CairoMakie	4.86s (4.83, 4.90) 0.03+-	110.93ms (109.97, 113.67) 1.25+-	168.75ms (166.57, 172.22) 1.92+-	9.57ms (9.32, 9.74) 0.17+-	1.19ms (1.15, 1.23) 0.04+-
master	4.88s (4.84, 4.90) 0.02+-	110.04ms (109.38, 110.76) 0.47+-	167.98ms (166.64, 170.41) 1.44+-	9.44ms (9.39, 9.50) 0.05+-	1.16ms (1.15, 1.17) 0.01+-
evaluation	1.00x invariant, -0.02s (-0.65d, 0.25p, 0.02std)	0.99x invariant, 0.89ms (0.95d, 0.12p, 0.86std)	1.00x invariant, 0.77ms (0.45d, 0.41p, 1.68std)	0.99x invariant, 0.13ms (1.08d, 0.08p, 0.11std)	0.97x invariant, 0.03ms (1.15d, 0.07p, 0.02std)
WGLMakie	5.48s (5.31, 5.64) 0.13+-	113.65ms (109.32, 115.94) 2.49+-	5.27s (5.17, 5.39) 0.10+-	13.28ms (12.83, 15.18) 0.84+-	118.65ms (116.45, 122.03) 1.93+-
master	5.43s (5.31, 5.53) 0.09+-	112.60ms (107.44, 123.93) 6.16+-	5.29s (4.95, 5.73) 0.27+-	12.00ms (11.40, 12.94) 0.56+-	119.76ms (113.22, 125.36) 4.40+-
evaluation	0.99x invariant, 0.06s (0.51d, 0.36p, 0.11std)	0.99x invariant, 1.05ms (0.22d, 0.69p, 4.32std)	1.00x invariant, -0.02s (-0.09d, 0.87p, 0.19std)	0.90x slower❌, 1.28ms (1.79d, 0.01p, 0.70std)	1.01x invariant, -1.11ms (-0.33d, 0.56p, 3.16std)