From a0a7ef5f194d8d19f9a7d22f39480392679830b0 Mon Sep 17 00:00:00 2001 From: Geoff deRosenroll Date: Tue, 2 May 2023 11:14:51 -0700 Subject: [PATCH] Add bezier skline example + other example touchups Bumps OCADml dep to v0.6.0 in order to add a skline example. Now that OCADml has direct stl export though, I need to consider moving the examples under that library. Or, just replicate what currently exists for now, and don't add further examples here (which are really OCADml mesh generations without CSG) while I consider if this manual should be trimmed down to something more OpenSCAD centric. --- .gitignore | 1 + OSCADml.opam | 4 +- docs/index.mld | 1 + dune-project | 4 +- examples/arc_points.ml | 4 +- examples/docs/arc_points.mld | 4 +- examples/docs/morphing_sweeps.mld | 2 +- examples/docs/polyholes.mld | 2 +- examples/docs/profile_skinning.mld | 19 +--- examples/docs/spline.mld | 4 +- examples/docs/spline_skinning.mld | 96 ++++++++++++++++++ examples/dune | 1 + examples/morphing_sweeps.ml | 2 +- examples/pngs/arc_points_2d.png | Bin 30509 -> 30507 bytes examples/pngs/arc_points_3d.png | Bin 31914 -> 31949 bytes examples/pngs/arc_wedge_2d.png | Bin 39975 -> 39980 bytes examples/pngs/bezier_spline_path.png | Bin 37820 -> 37819 bytes examples/pngs/cartesian_gravity_well.png | Bin 60375 -> 60375 bytes examples/pngs/chamfered_loop.png | Bin 53708 -> 53708 bytes examples/pngs/chamfered_square_with_holes.png | Bin 32440 -> 32435 bytes examples/pngs/circular_rounding.png | Bin 38246 -> 38189 bytes examples/pngs/edgy_loop.png | Bin 0 -> 146619 bytes examples/pngs/elbow.png | Bin 28675 -> 28674 bytes examples/pngs/handle_points.png | Bin 0 -> 41231 bytes examples/pngs/handle_skline.png | Bin 0 -> 119811 bytes examples/pngs/helix_extrude.png | Bin 126755 -> 126754 bytes examples/pngs/helix_path_points.png | Bin 131430 -> 131430 bytes examples/pngs/incl_polar_rose.png | Bin 212132 -> 212132 bytes examples/pngs/offset_poly.png | Bin 37641 -> 37647 bytes examples/pngs/polar_rose.png | Bin 212132 -> 212132 bytes examples/pngs/resampled_path.png | Bin 61354 -> 61354 bytes examples/pngs/rounded_polyhole_sweep.png | Bin 60240 -> 60246 bytes examples/pngs/rounded_prism_star.png | Bin 88981 -> 88992 bytes examples/pngs/spiral.png | Bin 38251 -> 38307 bytes examples/pngs/sweep_path_default.png | Bin 98643 -> 98642 bytes examples/pngs/sweep_path_euler.png | Bin 110080 -> 110080 bytes examples/pngs/sweep_starburst_default.png | Bin 57621 -> 57619 bytes examples/pngs/sweep_starburst_euler.png | Bin 69684 -> 69681 bytes examples/pngs/tangent_morph_sweep.png | Bin 90355 -> 89857 bytes examples/pngs/tangent_skin_test.png | Bin 56345 -> 0 bytes examples/pngs/test_hull_3d.png | Bin 38196 -> 38196 bytes examples/polyholes.ml | 2 +- examples/profile_skinning.ml | 16 +-- examples/spline.ml | 4 +- examples/spline_skinning.ml | 87 ++++++++++++++++ 45 files changed, 206 insertions(+), 47 deletions(-) create mode 100644 examples/docs/spline_skinning.mld create mode 100644 examples/pngs/edgy_loop.png create mode 100644 examples/pngs/handle_points.png create mode 100644 examples/pngs/handle_skline.png delete mode 100644 examples/pngs/tangent_skin_test.png create mode 100644 examples/spline_skinning.ml diff --git a/.gitignore b/.gitignore index ef3ee9c..ad995cf 100644 --- a/.gitignore +++ b/.gitignore @@ -4,3 +4,4 @@ _opam/ _esy/ examples/scads +examples/pngs/incl_*.png diff --git a/OSCADml.opam b/OSCADml.opam index c8ba67e..08711ce 100644 --- a/OSCADml.opam +++ b/OSCADml.opam @@ -9,7 +9,7 @@ authors: [ "Masaki Nakano" ] license: "GPL-2.0-or-later" -tags: ["OCADml" "CAD" "OpenSCAD"] +tags: ["OCADml" "CAD" "OpenSCAD" "CSG"] homepage: "https://github.com/OCADml/OSCADml" doc: "https://ocadml.github.io/OSCADml" bug-reports: "https://github.com/OCADml/OSCADml/issues" @@ -18,7 +18,7 @@ depends: [ "ocaml" {>= "4.14.0"} "gg" {>= "1.0.0"} "cairo2" {>= "0.6.2"} - "OCADml" {>= "0.5.0"} + "OCADml" {>= "0.6.0"} "odoc" {with-doc} ] build: [ diff --git a/docs/index.mld b/docs/index.mld index 0282503..aa29c18 100644 --- a/docs/index.mld +++ b/docs/index.mld @@ -85,6 +85,7 @@ should serve as a helpful reference. {2 Skins and Morphs} - {{!page-"profile_skinning"} {b Profile skinning}} +- {{!page-"spline_skinning"} {b Continuous skinning with Bézier splines}} - {{!page-"morphing_sweeps"} {b Morphing sweeps and extrusions}} {2 Function Plotting} diff --git a/dune-project b/dune-project index c17bae2..73aee87 100644 --- a/dune-project +++ b/dune-project @@ -27,7 +27,7 @@ (description "OSCADml is an OCaml front-end to the OpenSCAD CAD programming language.") (tags - ("OCADml" "CAD" "OpenSCAD")) + ("OCADml" "CAD" "OpenSCAD" "CSG")) (depends (ocaml (>= 4.14.0)) @@ -36,4 +36,4 @@ (cairo2 (>= 0.6.2)) (OCADml - (>= 0.5.0)))) + (>= 0.6.0)))) diff --git a/examples/arc_points.ml b/examples/arc_points.ml index bf59f7b..39554e9 100644 --- a/examples/arc_points.ml +++ b/examples/arc_points.ml @@ -33,9 +33,7 @@ let () = in let wedge = Scad.extrude ~height:1. @@ Scad.of_path2 arc and marks = - Debug.show_path2 show arc - |> Scad.translate (v3 0. 0. 1.1) - |> Scad.color ~alpha:0.8 Color.Magenta + Scad.color ~alpha:0.8 Color.Magenta @@ Scad.ztrans 1.1 (Debug.show_path2 show arc) in Scad.to_file "arc_wedge_2d.scad" @@ Scad.union [ wedge; marks ] diff --git a/examples/docs/arc_points.mld b/examples/docs/arc_points.mld index 59cdb5b..2e4414c 100644 --- a/examples/docs/arc_points.mld +++ b/examples/docs/arc_points.mld @@ -42,9 +42,7 @@ let () = in let wedge = Scad.extrude ~height:1. @@ Scad.of_path2 arc and marks = - Debug.show_path2 show arc - |> Scad.translate (v3 0. 0. 1.1) - |> Scad.color ~alpha:0.8 Color.Magenta + Scad.color ~alpha:0.8 Color.Magenta @@ Scad.ztrans 1.1 (Debug.show_path2 show arc) in Scad.to_file "arc_wedge_2d.scad" @@ Scad.union [ wedge; marks ] ]} diff --git a/examples/docs/morphing_sweeps.mld b/examples/docs/morphing_sweeps.mld index ee4c90d..4e666c2 100644 --- a/examples/docs/morphing_sweeps.mld +++ b/examples/docs/morphing_sweeps.mld @@ -18,7 +18,7 @@ let () = V3.[ v 0. 0. 2.; v 0. 20. 20.; v 40. 20. 10.; v 30. 0. 10. ] |> Path3.quaternion (Quaternion.make (v3 1. 1. 0.) (Float.pi /. -5.)) in - Bezier3.curve ~fn:60 @@ Bezier3.of_path ~size:(`Flat (`Rel 0.3)) control + Bezier3.curve ~fn:80 @@ Bezier3.of_path ~size:(`Flat (`Rel 0.3)) control and caps = Mesh.Cap.(capped ~bot:(round @@ circ (`Radius 0.5)) ~top:(round @@ circ (`Radius 0.5))) and a = Poly2.ring ~fn:5 ~thickness:(v2 2.5 2.5) (v2 6. 6.) diff --git a/examples/docs/polyholes.mld b/examples/docs/polyholes.mld index 3a75f61..fe635a1 100644 --- a/examples/docs/polyholes.mld +++ b/examples/docs/polyholes.mld @@ -23,7 +23,7 @@ let () = |> Scad.translate (v3 0. 0. (-3.)) |> Scad.color ~alpha:0.5 Color.BlueViolet in - Scad.union [ poly; reference ] + Scad.add poly reference in Scad.to_file "polyholes.scad" scad ]} diff --git a/examples/docs/profile_skinning.mld b/examples/docs/profile_skinning.mld index 5d6aa67..28f6553 100644 --- a/examples/docs/profile_skinning.mld +++ b/examples/docs/profile_skinning.mld @@ -15,14 +15,13 @@ connector. {[ let profiles = - let fn = 32 - and up h = Path3.translate (v3 0. 0. h) in + let fn = 32 in let base = let sq = Path3.square ~center:true (v2 2. 4.) in Path3.(roundover ~fn (Round.flat ~corner:(Round.circ (`Radius 0.5)) sq)) - and c r h = up h @@ Path3.circle ~fn r in + and c r h = Path3.ztrans h @@ Path3.circle ~fn r in let cones = List.map (fun h -> [ c 0.6 h; c 0.5 (h +. 1.) ]) [ 4.; 5.; 6. ] in - List.flatten @@ ([ base; up 2. base; c 0.5 3.; c 0.5 4. ] :: cones) + List.flatten ([ base; Path3.ztrans 2. base; c 0.5 3.; c 0.5 4. ] :: cones) ]} A quick look at the points of our profiles we are about to mesh over with @@ -56,15 +55,3 @@ let () =

%} - -{[ -let () = - Mesh.skin - ~refine:2 - ~slices:(`Flat 25) - ~mapping:(`Flat `Tangent) - Path3.[ circle ~fn:5 4.; translate (v3 0. 0. 3.) @@ circle ~fn:80 2. ] - |> Scad.of_mesh - |> Scad.to_file "tangent_skin_test.scad" -]} - diff --git a/examples/docs/spline.mld b/examples/docs/spline.mld index 0832a8f..01de021 100644 --- a/examples/docs/spline.mld +++ b/examples/docs/spline.mld @@ -10,7 +10,7 @@ Control points that our through. {[ -let control = [ v2 0. 10.; v2 10. 40.; v2 20. 40.; v2 30. (-20.); v2 40. (-40.) ] +let control = V2.[ v 0. 10.; v 10. 40.; v 20. 40.; v 30. (-20.); v 40. (-40.) ] ]} Mark our [control] points with the debugging helper @@ -38,7 +38,7 @@ let line = Union our control point [marks] and [line] sweep shapes and output to file. {[ -let () = Scad.to_file "spline.scad" (Scad.union [ line; marks ]) +let () = Scad.to_file "spline.scad" (Scad.add line marks) ]} {%html: diff --git a/examples/docs/spline_skinning.mld b/examples/docs/spline_skinning.mld new file mode 100644 index 0000000..1e2005b --- /dev/null +++ b/examples/docs/spline_skinning.mld @@ -0,0 +1,96 @@ +{0 Bézier Sklines} + +{[ +open OCADml +open OSCADml +]} + +{{!OCADml.Mesh.skline} [Mesh.skline]}, like {{!OCADml.Mesh.skin} +[Mesh.skin]} provides a means of generating a mesh that covers a series of +given profiles, but where [skin] linearly transistions between each profile +independently, [skline] splines through each of the paths formed by the +associated vertices from the first profile to the last (or in a loop). +to generate meshes that cover over series of profiles. However, unlike +[skin] only resampling is made available for mapping vertices between +incomensurate profiles as the point duplication methods (tangent and +distance) can easily lead to edge intersections. + +{[ +let handle_profiles = + let circ = Path3.circle ~fn:64 5. in + let base = Path3.scale (v3 1.2 1.2 1.) circ + and handle = Path3.scale (v3 0.7 0.7 1.) circ in + Path3. + [ ztrans (-3.) base + ; circ + ; translate (v3 15. 0. 20.) (yrot (Float.pi /. 2.) handle) + ; xtrans 30. (yrot Float.pi circ) + ; translate (v3 30. 0. (-3.)) (yrot Float.pi base) + ] +]} + +A quick look at the points of our profiles we are about to spline over with +alternating colours may help a bit to conceptualize what we are about to +give {{!OCADml.Mesh.skline} [Mesh.skline]} to work with. + +{[ +let () = + let show i = + let c = if i mod 2 = 0 then Color.Magenta else Color.Aquamarine in + Debug.show_path3 (fun _ -> Scad.(color c @@ sphere 0.2)) + in + List.mapi show handle_profiles |> Scad.union |> Scad.to_file "handle_points.scad" +]} + +{%html: +

+ +

%} + +Using the [?tangents] parameter of {{!OCADml.Bezier3.of_path} +[Bezier3.of_path]} we can specify the tangents we want for each profile, +rather than leaving them up to the automatically computed derivatives (that +may differ for each edge path tracing between the profiles). Here we +contstrain them to cardinals so we can get a handle that sticks closer to +right angles. + +{[ +let () = + let up = v3 0. 0. 1. in + let tangents = `Tangents [ up; up; v3 1. 0. 0.; V3.neg up; V3.neg up ] in + Mesh.skline ~fn:200 ~size:(`Flat (`Rel 0.5)) ~tangents handle_profiles + |> Scad.of_mesh + |> Scad.to_file ~incl:true "handle_skline.scad" +]} + +{%html: +

+ +

%} + +As mentioned above, continuous curvature loops are also possible. Here we +morph cyclically through circular and pentagonal profiles by specifying +[~endcaps:`Loop]. + +{[ +let () = + let circ = Path3.circle ~fn:64 5. in + let pent = Path3.(circle ~fn:5 5.) in + let profs = + Path3. + [ circ + ; translate (v3 15. 0. 20.) (yrot (Float.pi /. 2.) pent) + ; xtrans 30. (yrot Float.pi circ) + ; translate (v3 15. 0. (-20.)) (yrot (Float.pi *. 1.5) pent) + ] + in + Mesh.skline ~endcaps:`Loop ~fn:200 ~size:(`Flat (`Rel 0.1)) profs + |> Scad.of_mesh + |> Scad.to_file ~incl:true "edgy_loop.scad" +]} + +{%html: +

+ +

%} + diff --git a/examples/dune b/examples/dune index b03f582..c49dbb3 100644 --- a/examples/dune +++ b/examples/dune @@ -15,6 +15,7 @@ resampled_path default_vs_euler_sweeps profile_skinning + spline_skinning morphing_sweeps) (libraries OSCADml OCADml.PolyText)) diff --git a/examples/morphing_sweeps.ml b/examples/morphing_sweeps.ml index 73f695d..c834647 100644 --- a/examples/morphing_sweeps.ml +++ b/examples/morphing_sweeps.ml @@ -15,7 +15,7 @@ let () = V3.[ v 0. 0. 2.; v 0. 20. 20.; v 40. 20. 10.; v 30. 0. 10. ] |> Path3.quaternion (Quaternion.make (v3 1. 1. 0.) 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Scad.translate (v3 0. 0. (-3.)) |> Scad.color ~alpha:0.5 Color.BlueViolet in - Scad.union [ poly; reference ] + Scad.add poly reference in Scad.to_file "polyholes.scad" scad diff --git a/examples/profile_skinning.ml b/examples/profile_skinning.ml index c15088f..2cbaaa4 100644 --- a/examples/profile_skinning.ml +++ b/examples/profile_skinning.ml @@ -12,14 +12,13 @@ open OSCADml connector. *) let profiles = - let fn = 32 - and up h = Path3.translate (v3 0. 0. h) in + let fn = 32 in let base = let sq = Path3.square ~center:true (v2 2. 4.) in Path3.(roundover ~fn (Round.flat ~corner:(Round.circ (`Radius 0.5)) sq)) - and c r h = up h @@ Path3.circle ~fn r in + and c r h = Path3.ztrans h @@ Path3.circle ~fn r in let cones = List.map (fun h -> [ c 0.6 h; c 0.5 (h +. 1.) ]) [ 4.; 5.; 6. ] in - List.flatten @@ ([ base; up 2. base; c 0.5 3.; c 0.5 4. ] :: cones) + List.flatten ([ base; Path3.ztrans 2. base; c 0.5 3.; c 0.5 4. ] :: cones) (** A quick look at the points of our profiles we are about to mesh over with alternating colours may help a bit to conceptualize what we are about to @@ -47,12 +46,3 @@ let () =

%} *) - -let () = - Mesh.skin - ~refine:2 - ~slices:(`Flat 25) - ~mapping:(`Flat `Tangent) - Path3.[ circle ~fn:5 4.; translate (v3 0. 0. 3.) @@ circle ~fn:80 2. ] - |> Scad.of_mesh - |> Scad.to_file "tangent_skin_test.scad" diff --git a/examples/spline.ml b/examples/spline.ml index 1e475b3..43e980b 100644 --- a/examples/spline.ml +++ b/examples/spline.ml @@ -6,7 +6,7 @@ open OSCADml (** Control points that our {{:https://mathworld.wolfram.com/CubicSpline.html}cubic spline} will pass through. *) -let control = [ v2 0. 10.; v2 10. 40.; v2 20. 40.; v2 30. (-20.); v2 40. (-40.) ] +let control = V2.[ v 0. 10.; v 10. 40.; v 20. 40.; v 30. (-20.); v 40. (-40.) ] (** Mark our [control] points with the debugging helper {{!OSCADml.Debug.show_path2} [Debug.show_path2]} for reference. We don't @@ -25,7 +25,7 @@ let line = Scad.of_mesh @@ Mesh.path_extrude ~path rectangle (** Union our control point [marks] and [line] sweep shapes and output to file. *) -let () = Scad.to_file "spline.scad" (Scad.union [ line; marks ]) +let () = Scad.to_file "spline.scad" (Scad.add line marks) (** {%html:

diff --git a/examples/spline_skinning.ml b/examples/spline_skinning.ml new file mode 100644 index 0000000..555019b --- /dev/null +++ b/examples/spline_skinning.ml @@ -0,0 +1,87 @@ +(** {0 Bézier Sklines} *) + +open OCADml +open OSCADml + +(** {{!OCADml.Mesh.skline} [Mesh.skline]}, like {{!OCADml.Mesh.skin} + [Mesh.skin]} provides a means of generating a mesh that covers a series of + given profiles, but where [skin] linearly transistions between each profile + independently, [skline] splines through each of the paths formed by the + associated vertices from the first profile to the last (or in a loop). + to generate meshes that cover over series of profiles. However, unlike + [skin] only resampling is made available for mapping vertices between + incomensurate profiles as the point duplication methods (tangent and + distance) can easily lead to edge intersections. *) + +let handle_profiles = + let circ = Path3.circle ~fn:64 5. in + let base = Path3.scale (v3 1.2 1.2 1.) circ + and handle = Path3.scale (v3 0.7 0.7 1.) circ in + Path3. + [ ztrans (-3.) base + ; circ + ; translate (v3 15. 0. 20.) (yrot (Float.pi /. 2.) handle) + ; xtrans 30. (yrot Float.pi circ) + ; translate (v3 30. 0. (-3.)) (yrot Float.pi base) + ] + +(** A quick look at the points of our profiles we are about to spline over with + alternating colours may help a bit to conceptualize what we are about to + give {{!OCADml.Mesh.skline} [Mesh.skline]} to work with. *) +let () = + let show i = + let c = if i mod 2 = 0 then Color.Magenta else Color.Aquamarine in + Debug.show_path3 (fun _ -> Scad.(color c @@ sphere 0.2)) + in + List.mapi show handle_profiles |> Scad.union |> Scad.to_file "handle_points.scad" + +(** {%html: +

+ +

%} + *) + +(** Using the [?tangents] parameter of {{!OCADml.Bezier3.of_path} + [Bezier3.of_path]} we can specify the tangents we want for each profile, + rather than leaving them up to the automatically computed derivatives (that + may differ for each edge path tracing between the profiles). Here we + contstrain them to cardinals so we can get a handle that sticks closer to + right angles. *) + +let () = + let up = v3 0. 0. 1. in + let tangents = `Tangents [ up; up; v3 1. 0. 0.; V3.neg up; V3.neg up ] in + Mesh.skline ~fn:200 ~size:(`Flat (`Rel 0.5)) ~tangents handle_profiles + |> Scad.of_mesh + |> Scad.to_file ~incl:true "handle_skline.scad" + +(** {%html: +

+ +

%} + *) + +(** As mentioned above, continuous curvature loops are also possible. Here we + morph cyclically through circular and pentagonal profiles by specifying + [~endcaps:`Loop]. *) + +let () = + let circ = Path3.circle ~fn:64 5. in + let pent = Path3.(circle ~fn:5 5.) in + let profs = + Path3. + [ circ + ; translate (v3 15. 0. 20.) (yrot (Float.pi /. 2.) pent) + ; xtrans 30. (yrot Float.pi circ) + ; translate (v3 15. 0. (-20.)) (yrot (Float.pi *. 1.5) pent) + ] + in + Mesh.skline ~endcaps:`Loop ~fn:200 ~size:(`Flat (`Rel 0.1)) profs + |> Scad.of_mesh + |> Scad.to_file ~incl:true "edgy_loop.scad" + +(** {%html: +

+ +

%} + *)