diff --git a/README.md b/README.md index a536634..e90ca9a 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ An Elm package to decode 3D models from the [OBJ file format](https://en.wikiped _The “Pod” model by [@01k](https://mobile.twitter.com/01k) rendered with `elm-3d-scene`. [See it live here](https://unsoundscapes.com/elm-obj-file/examples/pod/)._ -Make sure to check [the viewer example](https://unsoundscapes.com/elm-obj-file/examples/viewer/) that lets you preview OBJ files. +Make sure to check [the viewer example](https://unsoundscapes.com/elm-obj-file/examples/viewer/) that lets you preview OBJ files. [The Nefertiti example](https://unsoundscapes.com/elm-obj-file/examples/nefertit/) demonstrates support for loading bumpy faces with a normal map texture. The examples source code [can be found here](https://github.com/w0rm/elm-obj-file/tree/main/examples). @@ -31,7 +31,7 @@ To export an OBJ file from Blender choose `File - Export - Wavefront (.obj)`. We - **Include:** only check “Objects as OBJ Objects”; - **Transform:** use scale `1.00`, “Y Forward” and “Z Up” to match the Blender coordinate system; -- **Geometry:** only check “Apply Modifiers”, check “Write Normals” for `Obj.Decode.faces` and `Obj.Decode.texturedFaces`, “Include UVs” for `Obj.Decode.texturedTriangles` and `Obj.Decode.texturedFaces`, optionally check “Write Materials” if you want to decode material names. +- **Geometry:** only check “Apply Modifiers”, check “Write Normals” for `Obj.Decode.faces`, `Obj.Decode.texturedFaces` and `Obj.Decode.bumpyFaces`, “Include UVs” for `Obj.Decode.texturedTriangles`, `Obj.Decode.texturedFaces` and `Obj.Decode.bumpyFaces`, optionally check “Write Materials” if you want to decode material names. Blender collections are not preserved in OBJ groups. To decode individual meshes from the same file, you should rely on the `object` filter. The object name, that Blender produces, is a concatenation of the corresponding object and geometry. For example, the “Pod Body” object that contains “Mesh.001” can be decoded with `Obj.Decode.object "Pod_Body_Mesh.001"`. @@ -39,6 +39,7 @@ If you want to use the shadow generation functionality from `elm-3d-scene`, your ## OBJ Format Support +- [x] support for tangents needed for bumpy materials - [x] different combinations of positions, normal vectors and UV (texture coordinates); - [x] face elements `f`; - [x] line elements `l`; diff --git a/examples/elm.json b/examples/elm.json index 60a8c53..7d1f96a 100644 --- a/examples/elm.json +++ b/examples/elm.json @@ -2,7 +2,8 @@ "type": "application", "source-directories": [ "src", - "../src" + "../src", + "../../elm-3d-scene/src" ], "elm-version": "0.19.1", "dependencies": { @@ -14,11 +15,14 @@ "elm/html": "1.0.0", "elm/http": "2.0.0", "elm/json": "1.1.3", + "elm-explorations/linear-algebra": "1.0.3", "elm-explorations/webgl": "1.1.3", + "ianmackenzie/elm-1d-parameter": "1.0.1", "ianmackenzie/elm-3d-camera": "3.1.0", - "ianmackenzie/elm-3d-scene": "1.0.1", + "ianmackenzie/elm-float-extra": "1.1.0", "ianmackenzie/elm-geometry": "3.6.0", - "ianmackenzie/elm-triangular-mesh": "1.0.4", + "ianmackenzie/elm-geometry-linear-algebra-interop": "2.0.2", + "ianmackenzie/elm-triangular-mesh": "1.1.0", "ianmackenzie/elm-units": "2.6.0" }, "indirect": { @@ -26,10 +30,6 @@ "elm/time": "1.0.0", "elm/url": "1.0.0", "elm/virtual-dom": "1.0.2", - "elm-explorations/linear-algebra": "1.0.3", - "ianmackenzie/elm-1d-parameter": "1.0.1", - "ianmackenzie/elm-float-extra": "1.1.0", - "ianmackenzie/elm-geometry-linear-algebra-interop": "2.0.2", "ianmackenzie/elm-interval": "2.0.0", "ianmackenzie/elm-units-interval": "1.1.0" } diff --git a/examples/src/Nefertiti.elm b/examples/src/Nefertiti.elm new file mode 100644 index 0000000..789f09b --- /dev/null +++ b/examples/src/Nefertiti.elm @@ -0,0 +1,329 @@ +module Nefertiti exposing (main) + +{-| The following example demonstrates loading bumpy faces to render +elm-3d-scene bumpy materials. + +You can use Blender to reduce the size of a mesh by baking details +into the normal map: + +The OBJ file was derived from the original “Bust of Nefertiti” +scan by Staatliche Museen zu Berlin – Preußischer Kulturbesitz, +under the CC BY-NC-SA license. + +Toggle bumpy material to see if it makes the difference! + +-} + +import Angle exposing (Angle) +import Browser +import Browser.Events +import Camera3d +import Color exposing (Color) +import Direction3d +import Html exposing (Html) +import Html.Attributes +import Html.Events +import Http +import Json.Decode as Decode exposing (Decoder) +import Length exposing (Meters) +import Obj.Decode exposing (ObjCoordinates) +import Pixels exposing (Pixels) +import Point3d exposing (Point3d) +import Quantity exposing (Quantity, Unitless) +import Scene3d +import Scene3d.Material exposing (Texture) +import Scene3d.Mesh exposing (Bumpy) +import SketchPlane3d +import Task +import TriangularMesh exposing (TriangularMesh) +import Vector3d exposing (Vector3d) +import Viewpoint3d +import WebGL.Texture + + +type alias Model = + { azimuth : Angle + , elevation : Angle + , zoom : Float + , orbiting : Bool + , colorTexture : Maybe (Texture Color) + , normalMap : Maybe Scene3d.Material.NormalMap + , mesh : Maybe (Bumpy ObjCoordinates) + , useBumpyMaterial : Bool + , useColorTexture : Bool + } + + +type Msg + = LoadedColorTexture (Result WebGL.Texture.Error (Texture Color)) + | LoadedNormalMap (Result WebGL.Texture.Error Scene3d.Material.NormalMap) + | LoadedMesh + (Result + Http.Error + (TriangularMesh + { position : Point3d Meters ObjCoordinates + , normal : Vector3d Unitless ObjCoordinates + , uv : ( Float, Float ) + , tangent : Vector3d Unitless ObjCoordinates + , tangentBasisIsRightHanded : Bool + } + ) + ) + | MouseDown + | MouseUp + | MouseMove (Quantity Float Pixels) (Quantity Float Pixels) + | MouseWheel Float + | UseBumpyMaterialToggled Bool + | UseColorTextureToggled Bool + + +init : () -> ( Model, Cmd Msg ) +init () = + ( { colorTexture = Nothing + , normalMap = Nothing + , mesh = Nothing + , azimuth = Angle.degrees -50 + , elevation = Angle.degrees 15 + , orbiting = False + , useBumpyMaterial = False + , useColorTexture = True + , zoom = 0 + } + , Cmd.batch + [ Task.attempt LoadedColorTexture (Scene3d.Material.load "NefertitiColor.png") + , Task.attempt LoadedNormalMap (Scene3d.Material.loadNormalMap "NefertitiNormalMap.png") + , Http.get + { url = "Nefertiti.obj.txt" -- .txt is required to work with `elm reactor` + , expect = + Obj.Decode.expectObj LoadedMesh + Length.meters + Obj.Decode.bumpyFaces + } + ] + ) + + +update : Msg -> Model -> ( Model, Cmd Msg ) +update msg model = + case msg of + LoadedColorTexture result -> + ( { model | colorTexture = Result.toMaybe result } + , Cmd.none + ) + + LoadedNormalMap result -> + ( { model | normalMap = Result.toMaybe result } + , Cmd.none + ) + + LoadedMesh result -> + ( { model + | mesh = + result + |> Result.map Scene3d.Mesh.bumpyFaces + |> Result.map Scene3d.Mesh.cullBackFaces + |> Result.toMaybe + } + , Cmd.none + ) + + MouseDown -> + ( { model | orbiting = True }, Cmd.none ) + + MouseUp -> + ( { model | orbiting = False }, Cmd.none ) + + MouseMove dx dy -> + if model.orbiting then + let + rotationRate = + Quantity.per Pixels.pixel (Angle.degrees 1) + in + ( { model + | azimuth = + model.azimuth + |> Quantity.minus (Quantity.at rotationRate dx) + , elevation = + model.elevation + |> Quantity.plus (Quantity.at rotationRate dy) + |> Quantity.clamp (Angle.degrees -90) (Angle.degrees 90) + } + , Cmd.none + ) + + else + ( model, Cmd.none ) + + MouseWheel deltaY -> + ( { model | zoom = clamp 0 1 (model.zoom - deltaY * 0.002) }, Cmd.none ) + + UseBumpyMaterialToggled bumpy -> + ( { model | useBumpyMaterial = bumpy }, Cmd.none ) + + UseColorTextureToggled color -> + ( { model | useColorTexture = color }, Cmd.none ) + + +view : Model -> Html Msg +view model = + let + viewpoint = + Viewpoint3d.orbitZ + { focalPoint = Point3d.meters 0 0 0.2 + , azimuth = model.azimuth + , elevation = model.elevation + , distance = Length.meters (1.2 - model.zoom * 0.5) + } + + sunlightDirection = + Direction3d.fromAzimuthInAndElevationFrom SketchPlane3d.xy + model.azimuth + model.elevation + |> Direction3d.reverse + + camera = + Camera3d.perspective + { viewpoint = viewpoint + , verticalFieldOfView = Angle.degrees 30 + } + in + case ( model.colorTexture, model.normalMap, model.mesh ) of + ( Just colorTexture, Just normalMapTexture, Just mesh ) -> + let + material = + case ( model.useBumpyMaterial, model.useColorTexture ) of + ( True, True ) -> + Scene3d.Material.bumpyNonmetal + { baseColor = colorTexture + , roughness = Scene3d.Material.constant 0.5 + , ambientOcclusion = Scene3d.Material.constant 1 + , normalMap = normalMapTexture + } + + ( False, True ) -> + Scene3d.Material.texturedNonmetal + { baseColor = colorTexture + , roughness = Scene3d.Material.constant 0.5 + } + + ( True, False ) -> + Scene3d.Material.bumpyNonmetal + { baseColor = Scene3d.Material.constant Color.blue + , roughness = Scene3d.Material.constant 0.5 + , ambientOcclusion = Scene3d.Material.constant 1 + , normalMap = normalMapTexture + } + + ( False, False ) -> + Scene3d.Material.texturedNonmetal + { baseColor = Scene3d.Material.constant Color.blue + , roughness = Scene3d.Material.constant 0.5 + } + in + Html.figure + [ Html.Attributes.style "display" "block" + , Html.Attributes.style "width" "640px" + , Html.Attributes.style "margin" "auto" + , Html.Attributes.style "padding" "20px" + , Html.Events.preventDefaultOn "wheel" + (Decode.map + (\deltaY -> ( MouseWheel deltaY, True )) + (Decode.field "deltaY" Decode.float) + ) + ] + [ Scene3d.sunny + { upDirection = Direction3d.z + , sunlightDirection = sunlightDirection + , shadows = True + , camera = camera + , dimensions = ( Pixels.int 640, Pixels.int 640 ) + , background = Scene3d.backgroundColor Color.darkGrey + , clipDepth = Length.meters 0.01 + , entities = [ Scene3d.mesh material mesh ] + } + , Html.figcaption [ Html.Attributes.style "font" "14px/1.5 sans-serif" ] + [ Html.p [] + [ Html.text "This is a simplified version of the " + , Html.a + [ Html.Attributes.href "https://www.thingiverse.com/thing:3974391" + , Html.Attributes.target "_blank" + ] + [ Html.text "Bust of Nefertiti" + ] + , Html.text " by Staatliche Museen zu Berlin – Preußischer Kulturbesitz, under the " + , Html.a + [ Html.Attributes.href "https://creativecommons.org/licenses/by-nc-sa/4.0/" + , Html.Attributes.target "_blank" + ] + [ Html.text "CC BY-NC-SA license" ] + , Html.text "." + ] + , Html.p [] + [ Html.text "The demo is compiled from the unpublished version of " + , Html.a + [ Html.Attributes.href "https://github.com/ianmackenzie/elm-3d-scene" + , Html.Attributes.target "_blank" + ] + [ Html.text "elm-3d-scene" ] + , Html.text " and " + , Html.a + [ Html.Attributes.href "https://github.com/w0rm/elm-obj-file/pull/13" + , Html.Attributes.target "_blank" + ] + [ Html.text "elm-obj-file" ] + , Html.text "." + ] + , Html.p [] + [ Html.label [] + [ Html.input + [ Html.Attributes.type_ "checkbox" + , Html.Attributes.checked model.useBumpyMaterial + , Html.Events.onCheck UseBumpyMaterialToggled + ] + [] + , Html.text " Use bumpy material" + ] + , Html.label [ Html.Attributes.style "margin-left" "20px" ] + [ Html.input + [ Html.Attributes.type_ "checkbox" + , Html.Attributes.checked model.useColorTexture + , Html.Events.onCheck UseColorTextureToggled + ] + [] + , Html.text " Use color texture" + ] + ] + ] + ] + + _ -> + Html.text "Loading mesh and textures…" + + +main : Program () Model Msg +main = + Browser.element + { init = init + , update = update + , view = view + , subscriptions = subscriptions + } + + +subscriptions : Model -> Sub Msg +subscriptions model = + if model.orbiting then + Sub.batch + [ Browser.Events.onMouseMove decodeMouseMove + , Browser.Events.onMouseUp (Decode.succeed MouseUp) + ] + + else + Browser.Events.onMouseDown (Decode.succeed MouseDown) + + +decodeMouseMove : Decoder Msg +decodeMouseMove = + Decode.map2 MouseMove + (Decode.field "movementX" (Decode.map Pixels.float Decode.float)) + (Decode.field "movementY" (Decode.map Pixels.float Decode.float)) diff --git a/examples/src/Nefertiti.obj.txt b/examples/src/Nefertiti.obj.txt new file mode 100644 index 0000000..5b68eba --- /dev/null +++ b/examples/src/Nefertiti.obj.txt @@ -0,0 +1,23410 @@ +# This is a simplified version of the “Bust of Nefertiti” +# by Staatliche Museen zu Berlin – Preußischer Kulturbesitz, +# under the CC BY-NC-SA license +mtllib Nefertiti.mtl +o Nefertiti_Low-res +v 0.087537 -0.054732 0.223953 +v 0.087696 -0.048370 0.227537 +v 0.081807 -0.061011 0.221204 +v 0.086516 -0.051472 0.222663 +v 0.083375 -0.056143 0.217824 +v 0.087576 -0.054264 0.227384 +v 0.085747 -0.052874 0.234550 +v 0.084200 -0.055171 0.233259 +v 0.084492 -0.054497 0.226296 +v 0.083138 -0.056382 0.223988 +v 0.086979 -0.050607 0.231975 +v 0.085874 -0.047448 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4298/6252/4298 +f 4178/5953/4191 4162/5986/4189 4161/5954/4188 diff --git a/examples/src/NefertitiColor.png b/examples/src/NefertitiColor.png new file mode 100644 index 0000000..8f10d76 Binary files /dev/null and b/examples/src/NefertitiColor.png differ diff --git a/examples/src/NefertitiNormalMap.png b/examples/src/NefertitiNormalMap.png new file mode 100644 index 0000000..747e2c5 Binary files /dev/null and b/examples/src/NefertitiNormalMap.png differ diff --git a/src/Obj/Decode.elm b/src/Obj/Decode.elm index 02932ed..bb3a184 100644 --- a/src/Obj/Decode.elm +++ b/src/Obj/Decode.elm @@ -1,13 +1,13 @@ module Obj.Decode exposing ( Decoder - , triangles, faces, texturedTriangles, texturedFaces, polylines, points + , triangles, faces, texturedTriangles, texturedFaces, bumpyFaces, polylines, points , decodeString, expectObj , object, group, defaultGroup, material , objectNames, groupNames, materialNames , map, map2, map3, map4, map5 , filter, oneOf, fail, succeed, andThen, combine , ObjCoordinates - , trianglesIn, facesIn, texturedTrianglesIn, texturedFacesIn, polylinesIn, pointsIn + , trianglesIn, facesIn, texturedTrianglesIn, texturedFacesIn, bumpyFacesIn, polylinesIn, pointsIn ) {-| @@ -24,7 +24,7 @@ It's also possible to [transform coordinates](#coordinate-conversion) if desired Note that all primitive decoders require at least one element and will fail if no elements are found. -@docs triangles, faces, texturedTriangles, texturedFaces, polylines, points +@docs triangles, faces, texturedTriangles, texturedFaces, bumpyFaces, polylines, points # Run Decoders @@ -67,7 +67,7 @@ Metadata decoders can be also composed with advanced decoders [`andThen`](#andTh @docs ObjCoordinates -@docs trianglesIn, facesIn, texturedTrianglesIn, texturedFacesIn, polylinesIn, pointsIn +@docs trianglesIn, facesIn, texturedTrianglesIn, texturedFacesIn, bumpyFacesIn, polylinesIn, pointsIn -} @@ -78,7 +78,7 @@ import Http import Length exposing (Length, Meters) import Point3d exposing (Point3d) import Polyline3d exposing (Polyline3d) -import Quantity exposing (Unitless) +import Quantity exposing (Quantity(..), Unitless) import Set import TriangularMesh exposing (TriangularMesh) import Vector3d exposing (Vector3d) @@ -120,6 +120,13 @@ texturedFaces = texturedFacesIn Frame3d.atOrigin +{-| Decode positions, UV, normal vectors and tangents. Use with `Scene3d.Mesh.bumpyFaces`. +-} +bumpyFaces : Decoder (TriangularMesh { position : Point3d Meters coordinates, normal : Vector3d Unitless coordinates, uv : ( Float, Float ), tangent : Vector3d Unitless coordinates, tangentBasisIsRightHanded : Bool }) +bumpyFaces = + bumpyFacesIn Frame3d.atOrigin + + {-| -} polylines : Decoder (List (Polyline3d Meters ObjCoordinates)) polylines = @@ -617,6 +624,157 @@ texturedFacesIn frame = ) +{-| -} +bumpyFacesIn : Frame3d Meters coordinates { defines : ObjCoordinates } -> Decoder (TriangularMesh { position : Point3d Meters coordinates, normal : Vector3d Unitless coordinates, uv : ( Float, Float ), tangent : Vector3d Unitless coordinates, tangentBasisIsRightHanded : Bool }) +bumpyFacesIn frame = + Decoder + (\vertexData filters groups -> + triangularMesh + (addbumpyFaces vertexData frame) + filters + groups + (indexState vertexData.indexMap) + [] + |> Result.map computeTangents + ) + + +computeTangents : TriangularMesh { position : Point3d Meters coordinates, normal : Vector3d Unitless coordinates, uv : ( Float, Float ), tangent : Vector3d Unitless coordinates, bitangent : Vector3d Unitless coordinates } -> TriangularMesh { position : Point3d Meters coordinates, normal : Vector3d Unitless coordinates, uv : ( Float, Float ), tangent : Vector3d Unitless coordinates, tangentBasisIsRightHanded : Bool } +computeTangents mesh = + let + faceIndices = + TriangularMesh.faceIndices mesh + + newVertices = + List.foldl + (\( i1, i2, i3 ) vertices -> + case Array.get i1 vertices of + Just vertex1 -> + case Array.get i2 vertices of + Just vertex2 -> + case Array.get i3 vertices of + Just vertex3 -> + let + p1 = + Point3d.toMeters vertex1.position + + p2 = + Point3d.toMeters vertex2.position + + p3 = + Point3d.toMeters vertex3.position + + ( u1, v1 ) = + vertex1.uv + + ( u2, v2 ) = + vertex2.uv + + ( u3, v3 ) = + vertex3.uv + + dX1 = + p2.x - p1.x + + dX2 = + p3.x - p1.x + + dY1 = + p2.y - p1.y + + dY2 = + p3.y - p1.y + + dZ1 = + p2.z - p1.z + + dZ2 = + p3.z - p1.z + + dU1 = + u2 - u1 + + dU2 = + u3 - u1 + + dV1 = + v2 - v1 + + dV2 = + v3 - v1 + + r = + 1.0 / (dU1 * dV2 - dV1 * dU2) + + tangent = + Vector3d.unitless + ((dX1 * dV2 - dX2 * dV1) * r) + ((dY1 * dV2 - dY2 * dV1) * r) + ((dZ1 * dV2 - dZ2 * dV1) * r) + + bitangent = + Vector3d.unitless + ((dX2 * dU1 - dX1 * dU2) * r) + ((dY2 * dU1 - dY1 * dU2) * r) + ((dZ2 * dU1 - dZ1 * dU2) * r) + in + vertices + |> Array.set i1 + { normal = vertex1.normal + , position = vertex1.position + , uv = vertex1.uv + , tangent = Vector3d.plus tangent vertex1.tangent + , bitangent = Vector3d.plus bitangent vertex1.bitangent + } + |> Array.set i2 + { normal = vertex2.normal + , position = vertex2.position + , uv = vertex2.uv + , tangent = Vector3d.plus tangent vertex2.tangent + , bitangent = Vector3d.plus bitangent vertex2.bitangent + } + |> Array.set i3 + { normal = vertex3.normal + , position = vertex3.position + , uv = vertex3.uv + , tangent = Vector3d.plus tangent vertex3.tangent + , bitangent = Vector3d.plus bitangent vertex3.bitangent + } + + Nothing -> + vertices + + Nothing -> + vertices + + Nothing -> + vertices + ) + (TriangularMesh.vertices mesh) + faceIndices + in + TriangularMesh.mapVertices + (\v -> + let + (Quantity dot) = + Vector3d.dot v.tangent v.normal + + tangent = + Vector3d.normalize (Vector3d.minus (Vector3d.scaleBy dot v.normal) v.tangent) + + (Quantity handednessDot) = + Vector3d.dot (Vector3d.cross v.normal v.tangent) v.bitangent + in + { position = v.position + , uv = v.uv + , tangent = tangent + , normal = v.normal + , tangentBasisIsRightHanded = handednessDot > 0 + } + ) + (TriangularMesh.indexed newVertices faceIndices) + + {-| -} polylinesIn : Frame3d Meters coordinates { defines : ObjCoordinates } -> Decoder (List (Polyline3d Meters coordinates)) polylinesIn frame = @@ -1096,6 +1254,106 @@ addTexturedFaces vertexData frame lineno elementVertices elements maxIndex index Ok ( { maxIndex = maxIndex, indexMap = indexMap, vertices = vertices }, newFaceIndices ) +addbumpyFaces : + VertexData + -> Frame3d Meters coordinates { defines : ObjCoordinates } + -> + AddIndexedTriangles + { position : Point3d Meters coordinates + , normal : Vector3d Unitless coordinates + , uv : ( Float, Float ) + , tangent : Vector3d Unitless coordinates + , bitangent : Vector3d Unitless coordinates + } +addbumpyFaces vertexData frame lineno elementVertices elements maxIndex indexMap vertices indices faceIndices = + case elementVertices of + { p, uv, n } :: remainingVertices -> + if uv > -1 && n > -1 then + let + lookupArray = + Maybe.withDefault [] (Array.get p indexMap) + + idx = + lookup2 uv n lookupArray + in + if idx > -1 then + addbumpyFaces vertexData + frame + lineno + remainingVertices + elements + maxIndex + indexMap + vertices + (idx :: indices) + faceIndices + + else + -- pattern match for performance + case Array.get p vertexData.positions of + Just position -> + case Array.get n vertexData.normals of + Just normal -> + case Array.get uv vertexData.uvs of + Just uvCoord -> + addbumpyFaces vertexData + frame + lineno + remainingVertices + elements + (maxIndex + 1) + (Array.set p (uv :: n :: maxIndex + 1 :: lookupArray) indexMap) + ({ position = Point3d.placeIn frame position + , normal = Direction3d.toVector (Direction3d.placeIn frame normal) + , tangent = Vector3d.unitless 0 0 0 + , bitangent = Vector3d.unitless 0 0 0 + , uv = uvCoord + } + :: vertices + ) + (maxIndex + 1 :: indices) + faceIndices + + Nothing -> + formatError lineno "Index out of range" + + Nothing -> + formatError lineno "Index out of range" + + Nothing -> + formatError lineno "Index out of range" + + else + formatError lineno "Vertex missing normal vector and/or texture coordinates" + + [] -> + let + newFaceIndices = + case indices of + p1 :: remainingIndices -> + -- parser guarantees at least 3 face indices + groupIndices p1 remainingIndices faceIndices + + [] -> + faceIndices + in + case elements of + (FaceElement newLineno newElementVertices) :: remainingElements -> + addbumpyFaces vertexData + frame + newLineno + newElementVertices + remainingElements + maxIndex + indexMap + vertices + [] + newFaceIndices + + [] -> + Ok ( { maxIndex = maxIndex, indexMap = indexMap, vertices = vertices }, newFaceIndices ) + + {-| returns -1 if not found -} lookup2 : Int -> Int -> List Int -> Int