add csv imagemesh export

Manifest.toml

@@ -9,6 +9,12 @@ uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
+[[CSV]]
+deps = ["Dates", "Mmap", "Parsers", "PooledArrays", "SentinelArrays", "Tables", "Unicode"]
+git-tree-sha1 = "b83aa3f513be680454437a0eee21001607e5d983"
+uuid = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
+version = "0.8.5"
+
 [[ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra", "SparseArrays"]
 git-tree-sha1 = "be770c08881f7bb928dfd86d1ba83798f76cf62a"
@@ -43,6 +49,33 @@ version = "3.31.0"
 deps = ["Artifacts", "Libdl"]
 uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
 
+[[Crayons]]
+git-tree-sha1 = "3f71217b538d7aaee0b69ab47d9b7724ca8afa0d"
+uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
+version = "4.0.4"
+
+[[DataAPI]]
+git-tree-sha1 = "ee400abb2298bd13bfc3df1c412ed228061a2385"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.7.0"
+
+[[DataFrames]]
+deps = ["Compat", "DataAPI", "Future", "InvertedIndices", "IteratorInterfaceExtensions", "LinearAlgebra", "Markdown", "Missings", "PooledArrays", "PrettyTables", "Printf", "REPL", "Reexport", "SortingAlgorithms", "Statistics", "TableTraits", "Tables", "Unicode"]
+git-tree-sha1 = "a19645616f37a2c2c3077a44bc0d3e73e13441d7"
+uuid = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
+version = "1.2.1"
+
+[[DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "4437b64df1e0adccc3e5d1adbc3ac741095e4677"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.9"
+
+[[DataValueInterfaces]]
+git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
+uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
+version = "1.0.0"
+
 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
@@ -95,16 +128,37 @@ git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
 uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
 version = "0.8.4"
 
+[[Formatting]]
+deps = ["Printf"]
+git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
+uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
+version = "0.4.2"
+
 [[ForwardDiff]]
 deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "NaNMath", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
 git-tree-sha1 = "e2af66012e08966366a43251e1fd421522908be6"
 uuid = "f6369f11-7733-5829-9624-2563aa707210"
 version = "0.10.18"
 
+[[Future]]
+deps = ["Random"]
+uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
+
 [[InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[InvertedIndices]]
+deps = ["Test"]
+git-tree-sha1 = "15732c475062348b0165684ffe28e85ea8396afc"
+uuid = "41ab1584-1d38-5bbf-9106-f11c6c58b48f"
+version = "1.0.0"
+
+[[IteratorInterfaceExtensions]]
+git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
+uuid = "82899510-4779-5014-852e-03e436cf321d"
+version = "1.0.0"
+
 [[JLLWrappers]]
 deps = ["Preferences"]
 git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
@@ -169,6 +223,12 @@ uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
 
+[[Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "4ea90bd5d3985ae1f9a908bd4500ae88921c5ce7"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.0.0"
+
 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
@@ -189,16 +249,39 @@ git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
 uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
 version = "0.5.5+0"
 
+[[OrderedCollections]]
+git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.4.1"
+
+[[Parsers]]
+deps = ["Dates"]
+git-tree-sha1 = "c8abc88faa3f7a3950832ac5d6e690881590d6dc"
+uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
+version = "1.1.0"
+
 [[Pkg]]
 deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 
+[[PooledArrays]]
+deps = ["DataAPI", "Future"]
+git-tree-sha1 = "cde4ce9d6f33219465b55162811d8de8139c0414"
+uuid = "2dfb63ee-cc39-5dd5-95bd-886bf059d720"
+version = "1.2.1"
+
 [[Preferences]]
 deps = ["TOML"]
 git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
 uuid = "21216c6a-2e73-6563-6e65-726566657250"
 version = "1.2.2"
 
+[[PrettyTables]]
+deps = ["Crayons", "Formatting", "Markdown", "Reexport", "Tables"]
+git-tree-sha1 = "0d1245a357cc61c8cd61934c07447aa569ff22e6"
+uuid = "08abe8d2-0d0c-5749-adfa-8a2ac140af0d"
+version = "1.1.0"
+
 [[Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
@@ -211,6 +294,11 @@ uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 deps = ["Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
+[[Reexport]]
+git-tree-sha1 = "5f6c21241f0f655da3952fd60aa18477cf96c220"
+uuid = "189a3867-3050-52da-a836-e630ba90ab69"
+version = "1.1.0"
+
 [[Requires]]
 deps = ["UUIDs"]
 git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
@@ -220,6 +308,12 @@ version = "1.1.3"
 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
 
+[[SentinelArrays]]
+deps = ["Dates", "Random"]
+git-tree-sha1 = "35927c2c11da0a86bcd482464b93dadd09ce420f"
+uuid = "91c51154-3ec4-41a3-a24f-3f23e20d615c"
+version = "1.3.5"
+
 [[Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 
@@ -230,6 +324,12 @@ uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.0.1"
+
 [[SparseArrays]]
 deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -254,6 +354,18 @@ uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 deps = ["Dates"]
 uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
 
+[[TableTraits]]
+deps = ["IteratorInterfaceExtensions"]
+git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
+uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
+version = "1.0.1"
+
+[[Tables]]
+deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "TableTraits", "Test"]
+git-tree-sha1 = "8ed4a3ea724dac32670b062be3ef1c1de6773ae8"
+uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
+version = "1.4.4"
+
 [[Tar]]
 deps = ["ArgTools", "SHA"]
 uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"

Project.toml

@@ -4,7 +4,9 @@ authors = ["Stephan Hilb <stephan@ecshi.net>"]
 version = "0.1.0"
 
 [deps]
+CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"
 ColorTypes = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
+DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
 FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

src/function.jl

 using Statistics: mean
 using StaticArrays: SA, SArray, MVector, MMatrix
+using DataFrames, CSV
 export FeSpace, Mapper, FeFunction, ImageFunction, P1, DP0, DP1
-export interpolate!, sample, bind!, evaluate, integrate, nabla
+export interpolate!, sample, bind!, evaluate, integrate, nabla, save_csv
 
 # Finite Elements
 struct P1 end
@@ -410,3 +411,22 @@ end
 
 vtk_append!(vtkfile, f::FeFunction, ::DP1) =
     vtk_append!(vtkfile, f, P1())
+
+function save_csv(path, f::FeFunction)
+    f.space.element::P1
+    f.space.size == (1,) ||
+	throw(ArgumentError("non-scalar functions unsupported"))
+    mesh = f.space.mesh
+    df = DataFrame()
+    X = SA[0 1 0; 0 0 1]
+    for cell in cells(mesh)
+	bind!(f, cell)
+	A = SArray{Tuple{ndims_space(mesh), nvertices_cell(mesh)}}(
+	    view(mesh.vertices, :, view(mesh.cells, :, cell)))
+
+	for k in axes(A, 2)
+	    push!(df, (x = A[1, k], y = A[2, k], c = evaluate(f, X[:, k])[1]))
+	end
+    end
+    CSV.write(path, df)
+end