### A Pluto.jl notebook ### # v0.20.21 using Markdown using InteractiveUtils # This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). macro bind(def, element) #! format: off return quote local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end local el = $(esc(element)) global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) el end #! format: on end # ╔═╡ 540641e2-14e7-47da-9f8e-ac37cd499886 begin using MeshArrays, MITgcm, CairoMakie, PlutoUI import MeshArrays: GI import GeometryOps as GO md"""### Julia packages""" end # ╔═╡ 6da3809b-4bf4-45d6-bbd2-382312e947b7 TableOfContents() # ╔═╡ 7aca186c-efd7-4312-afd2-37fdc1a2bbb6 md"""# Polygons, 3D LineStrings, and Visualization In this example we focus on the cube sphere grid at coarse resolution (`cs32`). """ # ╔═╡ 915a5f42-9a31-4837-a891-d22f8825930b md"""## Read Grid and Compute Polygons""" # ╔═╡ 3c2f45b3-b3c3-4704-ba0e-c1ada7c48c13 begin path_MITgcm=MITgcm.getdata("mitgcmsmallverif") path_grid=joinpath(path_MITgcm,"MITgcm","verification","tutorial_held_suarez_cs","input") pols,pols3D=MeshArrays.Polygons.demo_grid(path_grid) Depth=GridLoadVar("Depth",GridSpec(ID=:CS32)) end # ╔═╡ 1b5b7cdc-9528-4afc-b282-2828da34ae2f MeshArrays.plot_examples(:polygons_plot_dev1,pols,pols3D,sphere_view=false) # ╔═╡ fd3dc375-7df1-4fdc-afe4-00233bf1d1e0 MeshArrays.plot_examples(:polygons_plot,pols,color=Depth) # ╔═╡ f112ecfa-8a66-4ae1-aac3-7b354bb5863f let fi=Figure(); ax=Axis(fi[1,1]) for ff in 1:6 [plot!(p) for p in pols[ff]] end fi end # ╔═╡ 523311f3-8d0a-4b57-b376-da945c4f20a7 md"""## Read MITgcm Grid Output""" # ╔═╡ 4208e083-2971-4b1c-bc72-5df1caaf3d36 begin γ=GridSpec(ID=:CS32) Γ=GridLoad(γ,option=:light) end # ╔═╡ 199f9dfc-c393-47f9-95d8-c0a783ae47e6 md"""# Appendix""" # ╔═╡ 3549d2f2-ab0f-44a0-a0dd-b9aa64354f31 md"""### Plotting Functions""" # ╔═╡ 1effaab8-8237-4236-ad75-755795f898fc function fig1(grid::NamedTuple,va=:XG,na="latitude",cr=(-90,90),cm=:thermal) f=Figure() ax=[[[1,ff] for ff in 1:3] [[2,ff] for ff in 1:3]] for ff in 1:length(ax) axi=Axis(f[ax[ff]...],title="$(va) ($(na)) face $(ff)") heatmap!(axi,grid[va][ff],colorrange=cr,colormap=cm) end Colorbar(f[1:2,4],colorrange = cr,colormap=cm) f end # ╔═╡ 98496427-b774-4d9b-b386-ffe5ea775d37 function fig0() f=Figure() a=Axis3(f[1,1]) sphere = Sphere(Point3f(0), 0.99f0) mesh!(a,sphere, color = :white) cc=[:blue :green :orange :black :red :violet] for f in 1:6 XC=Γ.XC[f][:] YC=Γ.YC[f][:] scatter!(MeshArrays.Polygons.to_sphere(XC,YC)...,markersize=5.0,color=cc[f]) end f end # ╔═╡ ac64b4cf-a6b5-4dad-a90c-bf1f483690e5 [fig1(Γ,:YC,"latitude",(-90,90)) ; fig1(Γ,:XC,"longitude",(-180,180));fig0()] # ╔═╡ fc2e3116-8a7e-405d-ad6d-bdf5d4ae45c9 md"""## Development Notes ### Incomplete Solution Below - not really useful - using grid output does not really work for this - incl due missing corner data points in CS grid output - even if vorticity point was available (as in gcmfaces) - need to use the input to MITgcm instead (33x33 v 32x32) ``` arr=get_LineString() arr=Array{Any}(undef,32,32) for i in 2:33 for j in 2:33 if j<33 x=[XGe.MA[1][i,j] XGe.MA[1][i+1,j] XGe.MA[1][i+1,j+1] XGe.MA[1][i,j+1] XGe.MA[1][i,j]] y=[YGe.MA[1][i,j] YGe.MA[1][i+1,j] YGe.MA[1][i+1,j+1] YGe.MA[1][i,j+1] YGe.MA[1][i,j]] else #should be exch_Z x=[XGe.MA[1][i,j] XGe.MA[1][i+1,j] XGe.MA[1][i+1-1,j+1] XGe.MA[1][i-1,j+1] XGe.MA[1][i,j]] y=[YGe.MA[1][i,j] YGe.MA[1][i+1,j] YGe.MA[1][i+1-1,j+1] YGe.MA[1][i-1,j+1] YGe.MA[1][i,j]] end #arr[i,j]=zip.(x,y) arr[i-1,j-1]=GI.LineString(GI.Point.(zip(vec(x),vec(y)))) end end ``` """ # ╔═╡ 5f5e6be3-a7ad-4772-a52c-acb765106593 begin XCe=exchange(Γ.XC) YCe=exchange(Γ.YC) XGe=exchange(Γ.XG) YGe=exchange(Γ.YG) all_points=(XCe,YCe,XGe,YGe) md"""### Exchange function calls for incomplete solution _see this inside code cell_ """ end # ╔═╡ a4418a2e-831b-416f-8348-e282b08cfa2d md"""### Basic Tests with GO, GI Let's construct a simple polygon from scratch, and test things out. - simple test with `GI.LinearRing`, `GI.Polygon`, or just `GI.LineString` in 2D and 3D. - `plotting` of `GI` objects does not seem to work in 3D. Should try with `Makie.Polygon`. - to retrieve `(x,y,z)` use `GI.coordinates`. - `GO` can be used to calculated intersections etc. """ # ╔═╡ 5365dc71-0ddc-4d40-8f38-7c494b3305d9 begin ui_do_two_D = @bind do_two_D CheckBox(default=true) md""" `do_two_D` = $(ui_do_two_D) (false => 3D => error message)""" end # ╔═╡ b494d021-3727-4736-8031-9587d0d542a2 let a=( (0.5773502691896258,-0.5773502691896257,-0.5773502691896257), (0.5837494212853372,-0.5643343213894291,-0.5837494212853374), (0.5977118906557506,-0.566895270649142,-0.566895270649142), (0.5837494212853375,-0.5837494212853372,-0.5643343213894292), (0.5773502691896258,-0.5773502691896257,-0.5773502691896257), ) if do_two_D aa=[b[1:2] for b in a] bb=GI.LinearRing(aa) cc=GI.Polygon(bb) f,a,_=plot(cc,color=:cyan); lines!(aa,color=:red); f else aa=[b[1:3] for b in a] bb=GI.LinearRing(aa) cc=GI.Polygon(bb) dd=GI.LineString(aa) lines(aa) # plot(cc) end end # ╔═╡ b37855e2-b3f2-4d49-a17b-8a133a31a7fd GI.coordinates(pols[1][1,1])[1] # ╔═╡ 63c58499-c353-4124-9270-6c22b0e6bcd7 let line1 = GI.Line([(124.584961,-12.768946), (126.738281,-17.224758)]) line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) inter_points = GO.intersection(line1, line2; target = GI.PointTrait()) GI.coordinates.(inter_points) end # ╔═╡ 00000000-0000-0000-0000-000000000001 PLUTO_PROJECT_TOML_CONTENTS = """ [deps] CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" GeometryOps = "3251bfac-6a57-4b6d-aa61-ac1fef2975ab" MITgcm = "dce5fa8e-68ce-4431-a242-9469c69627a0" PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" [compat] CairoMakie = "~0.15.7" GeometryOps = "~0.1.31" MITgcm = "~0.5.12" PlutoUI = "~0.7.75" """ # ╔═╡ 00000000-0000-0000-0000-000000000002 PLUTO_MANIFEST_TOML_CONTENTS = """ # This file is machine-generated - editing it directly is not advised julia_version = "1.12.1" manifest_format = "2.0" project_hash = "98fcc991a2150e4e795d97b4f0693eb5fd12b3ac" [[deps.AbstractFFTs]] deps = ["LinearAlgebra"] git-tree-sha1 = 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