From 1c65c1ad18a43c88ea2cdf26bade4c4fa3f57154 Mon Sep 17 00:00:00 2001
From: Owen Harvey <owenlharvey@gmail.com>
Date: Fri, 29 Dec 2023 19:28:51 +1000
Subject: [PATCH 1/5] Adding Box Frame as a primitive.

Adding a box frame primitive, and associated test.
---
 Graphics/Implicit/Canon.hs                   |  5 +++
 Graphics/Implicit/Definitions.hs             |  3 ++
 Graphics/Implicit/Export/RayTrace.hs         |  2 +-
 Graphics/Implicit/Export/SymbolicFormats.hs  |  6 +++-
 Graphics/Implicit/ObjectUtil/GetBox3.hs      |  3 +-
 Graphics/Implicit/ObjectUtil/GetImplicit3.hs | 32 ++++++++++++++++++--
 Graphics/Implicit/Primitives.hs              |  6 +++-
 tests/GoldenSpec/Spec.hs                     |  8 ++++-
 8 files changed, 58 insertions(+), 7 deletions(-)

diff --git a/Graphics/Implicit/Canon.hs b/Graphics/Implicit/Canon.hs
index dbd177a1..1ef66db7 100644
--- a/Graphics/Implicit/Canon.hs
+++ b/Graphics/Implicit/Canon.hs
@@ -94,6 +94,8 @@ import Graphics.Implicit.Definitions
       , Transform3
       , Torus
       , Ellipsoid
+      , BoxFrame
+      , Transform3
       )
   , hasZeroComponent
   )
@@ -177,6 +179,7 @@ fmapObj3 f _ _ (Sphere r) = f $ Sphere r
 fmapObj3 f _ _ (Cylinder r1 r2 h) = f $ Cylinder r1 r2 h
 fmapObj3 f _ _ (Torus r1 r2) = f $ Torus r1 r2
 fmapObj3 f _ _ (Ellipsoid a b c) = f $ Ellipsoid a b c
+fmapObj3 f _ _ (BoxFrame b e) = f $ BoxFrame b e
 fmapObj3 f g s (Rotate3 q o) = f $ Rotate3 q (fmapObj3 f g s o)
 fmapObj3 f g s (Transform3 m o) = f $ Transform3 m (fmapObj3 f g s o)
 fmapObj3 f g s (Extrude h o2) = f $ Extrude h (fmapObj2 g f s o2)
@@ -235,6 +238,7 @@ instance EqObj SymbolicObj3 where
   Torus a1 a2 =^= Torus b1 b2 = a1 == b1 && a2 == b2
   Ellipsoid a1 b1 c1 =^= Ellipsoid a2 b2 c2 = a1 == a2 && b1 == b2 && c1 == c2
   Cylinder r1a r2a ha =^= Cylinder r1b r2b hb = r1a == r1b && r2a == r2b && ha == hb
+  BoxFrame b1 e1 =^= BoxFrame b2 e2 = b1 == b2 && e1 == e2
   Rotate3 x a =^= Rotate3 y b = x == y && a =^= b
   Transform3 x a =^= Transform3 y b = x == y && a =^= b
   Extrude x a =^= Extrude y b = x == y && a =^= b
@@ -308,6 +312,7 @@ canon3 :: SymbolicObj3 -> SymbolicObj3
 canon3 (Cube v) | hasZeroComponent v = emptySpace
 canon3 (Sphere 0) = emptySpace
 canon3 (Cylinder 0 _ _) = emptySpace
+canon3 (BoxFrame _ 0) = emptySpace
 canon3 (Extrude 0 _o2) = emptySpace
 canon3 (Torus _ 0) = emptySpace
 canon3 (Ellipsoid 0 _ _) = emptySpace
diff --git a/Graphics/Implicit/Definitions.hs b/Graphics/Implicit/Definitions.hs
index 9685984b..11cf9383 100644
--- a/Graphics/Implicit/Definitions.hs
+++ b/Graphics/Implicit/Definitions.hs
@@ -61,6 +61,7 @@ module Graphics.Implicit.Definitions (
         Transform3,
         Torus,
         Ellipsoid,
+        BoxFrame,
         Extrude,
         ExtrudeM,
         ExtrudeOnEdgeOf,
@@ -332,6 +333,7 @@ data SymbolicObj3 =
     | Cylinder ℝ ℝ ℝ --
     | Torus ℝ ℝ
     | Ellipsoid ℝ ℝ ℝ
+    | BoxFrame ℝ3 ℝ -- b e from https://iquilezles.org/articles/distfunctions/
     -- Simple transforms
     | Rotate3 (Quaternion ℝ) SymbolicObj3
     | Transform3 (M44 ℝ) SymbolicObj3
@@ -359,6 +361,7 @@ instance Show SymbolicObj3 where
     -- centered.
     Cube sz -> showCon "cube" @| False @| sz
     Sphere d -> showCon "sphere" @| d
+    BoxFrame b e -> showCon "boxFrame" @| b @| e
     -- NB: The arguments to 'Cylinder' are backwards compared to 'cylinder' and
     -- 'cylinder2'.
     Cylinder h r1 r2 | r1 == r2 ->
diff --git a/Graphics/Implicit/Export/RayTrace.hs b/Graphics/Implicit/Export/RayTrace.hs
index 95abfdab..46abad3d 100644
--- a/Graphics/Implicit/Export/RayTrace.hs
+++ b/Graphics/Implicit/Export/RayTrace.hs
@@ -3,7 +3,7 @@
 -- Copyright 2016, Julia Longtin (julial@turinglace.com)
 -- Released under the GNU AGPLV3+, see LICENSE
 
-module Graphics.Implicit.Export.RayTrace( Color(Color), average, Camera(Camera), Light(Light), Scene(Scene), traceRay, cameraRay) where
+module Graphics.Implicit.Export.RayTrace( Color(Color), average, Camera(Camera), Light(Light), Scene(Scene), traceRay, cameraRay, vectorDistance) where
 
 import Prelude(Show, RealFrac, Maybe(Just, Nothing), Bool(False, True), (-), (.), ($), (*), (/), min, fromInteger, max, round, fromIntegral, unzip, fmap, length, sum, maximum, minimum, (>), (+), (<), (==), pred, flip, not, abs, floor, toRational, otherwise, pure)
 
diff --git a/Graphics/Implicit/Export/SymbolicFormats.hs b/Graphics/Implicit/Export/SymbolicFormats.hs
index 662b4467..5177658d 100644
--- a/Graphics/Implicit/Export/SymbolicFormats.hs
+++ b/Graphics/Implicit/Export/SymbolicFormats.hs
@@ -12,7 +12,7 @@ module Graphics.Implicit.Export.SymbolicFormats (scad2, scad3) where
 
 import Prelude((.), fmap, Either(Left, Right), ($), (*), ($!), (-), (/), pi, error, (+), (==), take, floor, (&&), const, pure, (<>), sequenceA, (<$>))
 
-import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(Shared2, Square, Circle, Polygon, Rotate2, Transform2, Slice), SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeM, RotateExtrude, ExtrudeOnEdgeOf, Torus, Ellipsoid), isScaleID, SharedObj(Empty, Full, Complement, UnionR, IntersectR, DifferenceR, Translate, Scale, Mirror, Outset, Shell, EmbedBoxedObj, WithRounding), quaternionToEuler)
+import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(Shared2, Square, Circle, Polygon, Rotate2, Transform2, Slice), SymbolicObj3(Shared3, Cube, Sphere, Cylinder, BoxFrame, Rotate3, Transform3, Extrude, ExtrudeM, RotateExtrude, ExtrudeOnEdgeOf, Torus, Ellipsoid), isScaleID, SharedObj(Empty, Full, Complement, UnionR, IntersectR, DifferenceR, Translate, Scale, Mirror, Outset, Shell, EmbedBoxedObj, WithRounding), quaternionToEuler)
 import Graphics.Implicit.Export.TextBuilderUtils(Text, Builder, toLazyText, fromLazyText, bf)
 
 import Control.Monad.Reader (Reader, runReader, ask)
@@ -131,6 +131,10 @@ buildS3 (Torus r1 r2) = callNaked "torus" ["r1 = " <> bf r1, "r2 = " <> bf r2]
 
 buildS3 (Ellipsoid a b c) = callNaked "ellipsoid" ["a = " <> bf a, "b = " <> bf b, "c = " <> bf c] []
 
+buildS3 (BoxFrame (V3 w d h) e) = callNaked "boxFrame"
+  ["w = " <> bf w, "d = " <> bf d, "h = " <> bf h, "e = " <> bf e]
+  []
+
 buildS3 (Cylinder h r1 r2) = callNaked "cylinder" [
                               "r1 = " <> bf r1
                              ,"r2 = " <> bf r2
diff --git a/Graphics/Implicit/ObjectUtil/GetBox3.hs b/Graphics/Implicit/ObjectUtil/GetBox3.hs
index 5b613757..296bda70 100644
--- a/Graphics/Implicit/ObjectUtil/GetBox3.hs
+++ b/Graphics/Implicit/ObjectUtil/GetBox3.hs
@@ -12,7 +12,7 @@ import Graphics.Implicit.Definitions
     ( Fastℕ,
       fromFastℕ,
       ExtrudeMScale(C2, C1),
-      SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeOnEdgeOf, ExtrudeM, RotateExtrude, Torus, Ellipsoid),
+      SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeOnEdgeOf, ExtrudeM, RotateExtrude, Torus, Ellipsoid, BoxFrame),
       Box3,
       ℝ,
       fromFastℕtoℝ,
@@ -38,6 +38,7 @@ getBox3 (Torus r1 r2) =
   let r = r1 + r2
   in (V3 (-r) (-r) (-r2), V3 r r r2)
 getBox3 (Ellipsoid a b c) = (V3 (-a) (-b) (-c), V3 a b c)
+getBox3 (BoxFrame b _) = (-b, b)
 -- (Rounded) CSG
 -- Simple transforms
 getBox3 (Rotate3 q symbObj) =
diff --git a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
index cba7c23a..71977833 100644
--- a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
+++ b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
@@ -6,10 +6,20 @@
 
 module Graphics.Implicit.ObjectUtil.GetImplicit3 (getImplicit3) where
 
-import Prelude (id, (||), (/=), either, round, fromInteger, Either(Left, Right), abs, (-), (/), (*), sqrt, (+), atan2, max, cos, minimum, ($), sin, pi, (.), Bool(True, False), ceiling, floor, pure, (==), otherwise, (**))
+import Prelude (id, (||), (/=), either, round, fromInteger, Either(Left, Right), abs, (-), (/), (*), sqrt, (+), atan2, max, cos, minimum, ($), sin, pi, (.), Bool(True, False), ceiling, floor, pure, (==), otherwise, (**), min)
 
 import Graphics.Implicit.Definitions
-    ( objectRounding, ObjectContext, ℕ, SymbolicObj3(Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeM, ExtrudeOnEdgeOf, RotateExtrude, Shared3, Torus, Ellipsoid), Obj3, ℝ2, ℝ, fromℕtoℝ, toScaleFn )
+    ( objectRounding,
+      ObjectContext,
+      ℕ,
+      SymbolicObj3(Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude,
+                   ExtrudeM, ExtrudeOnEdgeOf, RotateExtrude, Shared3, Torus, Ellipsoid, BoxFrame),
+      Obj3,
+      ℝ2,
+      ℝ,
+      fromℕtoℝ,
+      toScaleFn,
+      ℝ3 )
 
 import Graphics.Implicit.MathUtil ( rmax, rmaximum )
 
@@ -39,6 +49,24 @@ getImplicit3 _ (Cylinder h r1 r2) = \(V3 x y z) ->
         θ = atan2 (r2-r1) h
     in
         max (d * cos θ) (abs (z-h/2) - (h/2))
+getImplicit3 _ (BoxFrame b e) = \p' ->
+    let p@(V3 px py pz) = abs p' - b
+        V3 qx qy qz = abs (p + pure e) - pure e
+        -- Splitting out bits from https://iquilezles.org/articles/distfunctions/
+        -- to make it somewhat readable.
+        length :: ℝ3 -> ℝ
+        length v = Linear.distance (abs v) $ pure 0
+        -- Component wise maximum. This is what the opengl language is doing, so we need
+        -- it for the function as defined by the blog above.
+        -- See "Maximum" http://15462.courses.cs.cmu.edu/fall2019/article/20
+        compMax :: ℝ3 -> ℝ3 -> ℝ3
+        compMax (V3 a1 b1 c1) (V3 a2 b2 c2) = V3 (max a1 a2) (max b1 b2) (max c1 c2)
+        -- These names don't mean anything, and are just for splitting up the code.
+        x', y', z' :: ℝ
+        x' = length (compMax (V3 px qy qz) (pure 0)) + min (max px (max qy qz)) 0
+        y' = length (compMax (V3 qx py qz) (pure 0)) + min (max qx (max py qz)) 0
+        z' = length (compMax (V3 qx qy pz) (pure 0)) + min (max qx (max qy pz)) 0
+    in min (min x' y') z'
 -- Simple transforms
 getImplicit3 ctx (Rotate3 q symbObj) =
     getImplicit3 ctx symbObj . Linear.rotate (Linear.conjugate q)
diff --git a/Graphics/Implicit/Primitives.hs b/Graphics/Implicit/Primitives.hs
index 3be6f4d4..c653ab4e 100644
--- a/Graphics/Implicit/Primitives.hs
+++ b/Graphics/Implicit/Primitives.hs
@@ -52,7 +52,7 @@ module Graphics.Implicit.Primitives (
                                      withRounding,
                                      _Shared,
                                      pattern Shared,
-                                     Object(Space, canonicalize)) where
+                                     Object(Space, canonicalize), boxFrame) where
 
 import Prelude(Applicative, Eq, Foldable, Num, abs, (<), otherwise, Num, (-), (*), (/), (.), negate, Bool(True, False), Maybe(Just, Nothing), Either, fmap, ($), (<=), (&&), max, Ord)
 
@@ -87,6 +87,7 @@ import Graphics.Implicit.Definitions (ObjectContext, ℝ, ℝ2, ℝ3, Box2,
                                                    Sphere,
                                                    Cylinder,
                                                    Torus,
+                                                   BoxFrame,
                                                    Rotate3,
                                                    Transform3,
                                                    Extrude,
@@ -144,6 +145,9 @@ cylinder ::
     -> SymbolicObj3     -- ^ Resulting cylinder
 cylinder r = cylinder2 r r
 
+boxFrame :: ℝ3 -> ℝ -> SymbolicObj3
+boxFrame = BoxFrame
+
 cone ::
     ℝ                   -- ^ Radius of the cylinder
     -> ℝ                -- ^ Height of the cylinder
diff --git a/tests/GoldenSpec/Spec.hs b/tests/GoldenSpec/Spec.hs
index 939b7592..93d0a405 100644
--- a/tests/GoldenSpec/Spec.hs
+++ b/tests/GoldenSpec/Spec.hs
@@ -10,7 +10,7 @@ import Graphics.Implicit
 import Graphics.Implicit.Export.OutputFormat (OutputFormat (PNG))
 import Prelude
 import Test.Hspec ( describe, Spec )
-import Graphics.Implicit.Primitives (torus, ellipsoid, cone)
+import Graphics.Implicit.Primitives (torus, ellipsoid, cone, boxFrame)
 
 default (Int)
 
@@ -172,6 +172,12 @@ spec = describe "golden tests" $ do
       , ellipsoid 10 15 20
       , translate (V3 0 0 25) $ cone 20 20
       ]
+  
+  golden "boxFrame" 2 $
+    union
+      [ boxFrame (V3 20 20 20) 2
+      , translate (V3 0 0 10) $ boxFrame (V3 10 10 10) 2
+      ]
 
   golden "closing-paths-1" 0.5 $
     extrudeM

From accc3db3e2874dffc7c3d899136b87d77aab3798 Mon Sep 17 00:00:00 2001
From: Owen Harvey <owenlharvey@gmail.com>
Date: Fri, 29 Dec 2023 20:16:43 +1000
Subject: [PATCH 2/5] Adding link

Adding a link primitive and tests
---
 Graphics/Implicit/Canon.hs                   |  3 ++
 Graphics/Implicit/Definitions.hs             |  3 ++
 Graphics/Implicit/Export/SymbolicFormats.hs  |  6 +++-
 Graphics/Implicit/ObjectUtil/GetBox3.hs      |  7 +++-
 Graphics/Implicit/ObjectUtil/GetImplicit3.hs | 34 ++++++++++++--------
 Graphics/Implicit/Primitives.hs              |  7 +++-
 tests/GoldenSpec/Spec.hs                     |  8 ++++-
 7 files changed, 50 insertions(+), 18 deletions(-)

diff --git a/Graphics/Implicit/Canon.hs b/Graphics/Implicit/Canon.hs
index 1ef66db7..ca63ea9c 100644
--- a/Graphics/Implicit/Canon.hs
+++ b/Graphics/Implicit/Canon.hs
@@ -95,6 +95,7 @@ import Graphics.Implicit.Definitions
       , Torus
       , Ellipsoid
       , BoxFrame
+      , Link
       , Transform3
       )
   , hasZeroComponent
@@ -180,6 +181,7 @@ fmapObj3 f _ _ (Cylinder r1 r2 h) = f $ Cylinder r1 r2 h
 fmapObj3 f _ _ (Torus r1 r2) = f $ Torus r1 r2
 fmapObj3 f _ _ (Ellipsoid a b c) = f $ Ellipsoid a b c
 fmapObj3 f _ _ (BoxFrame b e) = f $ BoxFrame b e
+fmapObj3 f _ _ (Link le r1 r2) = f $ Link le r1 r2
 fmapObj3 f g s (Rotate3 q o) = f $ Rotate3 q (fmapObj3 f g s o)
 fmapObj3 f g s (Transform3 m o) = f $ Transform3 m (fmapObj3 f g s o)
 fmapObj3 f g s (Extrude h o2) = f $ Extrude h (fmapObj2 g f s o2)
@@ -239,6 +241,7 @@ instance EqObj SymbolicObj3 where
   Ellipsoid a1 b1 c1 =^= Ellipsoid a2 b2 c2 = a1 == a2 && b1 == b2 && c1 == c2
   Cylinder r1a r2a ha =^= Cylinder r1b r2b hb = r1a == r1b && r2a == r2b && ha == hb
   BoxFrame b1 e1 =^= BoxFrame b2 e2 = b1 == b2 && e1 == e2
+  Link a1 b1 c1 =^= Link a2 b2 c2 = a1 == a2 && b1 == b2 && c1 == c2
   Rotate3 x a =^= Rotate3 y b = x == y && a =^= b
   Transform3 x a =^= Transform3 y b = x == y && a =^= b
   Extrude x a =^= Extrude y b = x == y && a =^= b
diff --git a/Graphics/Implicit/Definitions.hs b/Graphics/Implicit/Definitions.hs
index 11cf9383..50f9b2a0 100644
--- a/Graphics/Implicit/Definitions.hs
+++ b/Graphics/Implicit/Definitions.hs
@@ -62,6 +62,7 @@ module Graphics.Implicit.Definitions (
         Torus,
         Ellipsoid,
         BoxFrame,
+        Link,
         Extrude,
         ExtrudeM,
         ExtrudeOnEdgeOf,
@@ -334,6 +335,7 @@ data SymbolicObj3 =
     | Torus ℝ ℝ
     | Ellipsoid ℝ ℝ ℝ
     | BoxFrame ℝ3 ℝ -- b e from https://iquilezles.org/articles/distfunctions/
+    | Link ℝ ℝ ℝ -- le r1 r2 from https://iquilezles.org/articles/distfunctions/
     -- Simple transforms
     | Rotate3 (Quaternion ℝ) SymbolicObj3
     | Transform3 (M44 ℝ) SymbolicObj3
@@ -362,6 +364,7 @@ instance Show SymbolicObj3 where
     Cube sz -> showCon "cube" @| False @| sz
     Sphere d -> showCon "sphere" @| d
     BoxFrame b e -> showCon "boxFrame" @| b @| e
+    Link le r1 r2 -> showCon "link" @| le @| r1 @| r2
     -- NB: The arguments to 'Cylinder' are backwards compared to 'cylinder' and
     -- 'cylinder2'.
     Cylinder h r1 r2 | r1 == r2 ->
diff --git a/Graphics/Implicit/Export/SymbolicFormats.hs b/Graphics/Implicit/Export/SymbolicFormats.hs
index 5177658d..4343b373 100644
--- a/Graphics/Implicit/Export/SymbolicFormats.hs
+++ b/Graphics/Implicit/Export/SymbolicFormats.hs
@@ -12,7 +12,7 @@ module Graphics.Implicit.Export.SymbolicFormats (scad2, scad3) where
 
 import Prelude((.), fmap, Either(Left, Right), ($), (*), ($!), (-), (/), pi, error, (+), (==), take, floor, (&&), const, pure, (<>), sequenceA, (<$>))
 
-import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(Shared2, Square, Circle, Polygon, Rotate2, Transform2, Slice), SymbolicObj3(Shared3, Cube, Sphere, Cylinder, BoxFrame, Rotate3, Transform3, Extrude, ExtrudeM, RotateExtrude, ExtrudeOnEdgeOf, Torus, Ellipsoid), isScaleID, SharedObj(Empty, Full, Complement, UnionR, IntersectR, DifferenceR, Translate, Scale, Mirror, Outset, Shell, EmbedBoxedObj, WithRounding), quaternionToEuler)
+import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(Shared2, Square, Circle, Polygon, Rotate2, Transform2, Slice), SymbolicObj3(Shared3, Cube, Sphere, Cylinder, BoxFrame, Rotate3, Transform3, Extrude, ExtrudeM, RotateExtrude, ExtrudeOnEdgeOf, Torus, Ellipsoid, Link), isScaleID, SharedObj(Empty, Full, Complement, UnionR, IntersectR, DifferenceR, Translate, Scale, Mirror, Outset, Shell, EmbedBoxedObj, WithRounding), quaternionToEuler)
 import Graphics.Implicit.Export.TextBuilderUtils(Text, Builder, toLazyText, fromLazyText, bf)
 
 import Control.Monad.Reader (Reader, runReader, ask)
@@ -135,6 +135,10 @@ buildS3 (BoxFrame (V3 w d h) e) = callNaked "boxFrame"
   ["w = " <> bf w, "d = " <> bf d, "h = " <> bf h, "e = " <> bf e]
   []
 
+buildS3 (Link le r1 r2) = callNaked "link"
+  ["le = " <> bf le, "r1 = " <> bf r1, "r2 = " <> bf r2]
+  []
+
 buildS3 (Cylinder h r1 r2) = callNaked "cylinder" [
                               "r1 = " <> bf r1
                              ,"r2 = " <> bf r2
diff --git a/Graphics/Implicit/ObjectUtil/GetBox3.hs b/Graphics/Implicit/ObjectUtil/GetBox3.hs
index 296bda70..e1e779cb 100644
--- a/Graphics/Implicit/ObjectUtil/GetBox3.hs
+++ b/Graphics/Implicit/ObjectUtil/GetBox3.hs
@@ -12,7 +12,7 @@ import Graphics.Implicit.Definitions
     ( Fastℕ,
       fromFastℕ,
       ExtrudeMScale(C2, C1),
-      SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeOnEdgeOf, ExtrudeM, RotateExtrude, Torus, Ellipsoid, BoxFrame),
+      SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeOnEdgeOf, ExtrudeM, RotateExtrude, Torus, Ellipsoid, BoxFrame, Link),
       Box3,
       ℝ,
       fromFastℕtoℝ,
@@ -39,6 +39,11 @@ getBox3 (Torus r1 r2) =
   in (V3 (-r) (-r) (-r2), V3 r r r2)
 getBox3 (Ellipsoid a b c) = (V3 (-a) (-b) (-c), V3 a b c)
 getBox3 (BoxFrame b _) = (-b, b)
+getBox3 (Link le r1 r2) =
+  let r = r1 + r2
+      v = V3 (le + r) (r1*2) (r2*2)
+      -- V3 (le+(r*2)) r (r2*2)
+  in (-v, v)
 -- (Rounded) CSG
 -- Simple transforms
 getBox3 (Rotate3 q symbObj) =
diff --git a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
index 71977833..e1d8da77 100644
--- a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
+++ b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs
@@ -6,14 +6,14 @@
 
 module Graphics.Implicit.ObjectUtil.GetImplicit3 (getImplicit3) where
 
-import Prelude (id, (||), (/=), either, round, fromInteger, Either(Left, Right), abs, (-), (/), (*), sqrt, (+), atan2, max, cos, minimum, ($), sin, pi, (.), Bool(True, False), ceiling, floor, pure, (==), otherwise, (**), min)
+import Prelude (id, (||), (/=), either, round, fromInteger, Either(Left, Right), abs, (-), (/), (*), sqrt, (+), atan2, max, cos, minimum, ($), sin, pi, (.), Bool(True, False), ceiling, floor, pure, (==), otherwise, (**), min, Num, Applicative)
 
 import Graphics.Implicit.Definitions
     ( objectRounding,
       ObjectContext,
       ℕ,
       SymbolicObj3(Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude,
-                   ExtrudeM, ExtrudeOnEdgeOf, RotateExtrude, Shared3, Torus, Ellipsoid, BoxFrame),
+                   ExtrudeM, ExtrudeOnEdgeOf, RotateExtrude, Shared3, Torus, Ellipsoid, BoxFrame, Link),
       Obj3,
       ℝ2,
       ℝ,
@@ -27,13 +27,24 @@ import qualified Data.Either as Either (either)
 
 -- Use getImplicit for handling extrusion of 2D shapes to 3D.
 import Graphics.Implicit.ObjectUtil.GetImplicitShared (getImplicitShared)
-import Linear (V2(V2), V3(V3))
+import Linear (V2(V2), V3(V3), _xy, _z)
 import qualified Linear
 
 import {-# SOURCE #-} Graphics.Implicit.Primitives (getImplicit)
+import Control.Lens ((^.))
 
 default (ℝ)
 
+-- Length similar to the opengl version, needed for some of the shape definitions
+openglLength :: (Linear.Metric f, Num (f ℝ), Applicative f) => f ℝ -> ℝ
+openglLength v = Linear.distance (abs v) $ pure 0
+
+-- Component wise maximum. This is what the opengl language is doing, so we need
+-- it for the function as defined by the blog above.
+-- See "Maximum" http://15462.courses.cs.cmu.edu/fall2019/article/20
+compMax :: ℝ3 -> ℝ3 -> ℝ3
+compMax (V3 a1 b1 c1) (V3 a2 b2 c2) = V3 (max a1 a2) (max b1 b2) (max c1 c2)
+
 -- Get a function that describes the surface of the object.
 getImplicit3 :: ObjectContext -> SymbolicObj3 -> Obj3
 -- Primitives
@@ -54,19 +65,15 @@ getImplicit3 _ (BoxFrame b e) = \p' ->
         V3 qx qy qz = abs (p + pure e) - pure e
         -- Splitting out bits from https://iquilezles.org/articles/distfunctions/
         -- to make it somewhat readable.
-        length :: ℝ3 -> ℝ
-        length v = Linear.distance (abs v) $ pure 0
-        -- Component wise maximum. This is what the opengl language is doing, so we need
-        -- it for the function as defined by the blog above.
-        -- See "Maximum" http://15462.courses.cs.cmu.edu/fall2019/article/20
-        compMax :: ℝ3 -> ℝ3 -> ℝ3
-        compMax (V3 a1 b1 c1) (V3 a2 b2 c2) = V3 (max a1 a2) (max b1 b2) (max c1 c2)
         -- These names don't mean anything, and are just for splitting up the code.
         x', y', z' :: ℝ
-        x' = length (compMax (V3 px qy qz) (pure 0)) + min (max px (max qy qz)) 0
-        y' = length (compMax (V3 qx py qz) (pure 0)) + min (max qx (max py qz)) 0
-        z' = length (compMax (V3 qx qy pz) (pure 0)) + min (max qx (max qy pz)) 0
+        x' = openglLength (compMax (V3 px qy qz) (pure 0)) + min (max px (max qy qz)) 0
+        y' = openglLength (compMax (V3 qx py qz) (pure 0)) + min (max qx (max py qz)) 0
+        z' = openglLength (compMax (V3 qx qy pz) (pure 0)) + min (max qx (max qy pz)) 0
     in min (min x' y') z'
+getImplicit3 _ (Link le r1 r2) = \(V3 px py pz) ->
+    let q = V3 px (max (abs py - le) 0) pz
+    in openglLength (V2 (openglLength (q ^. _xy) - r1) (q ^. _z)) - r2
 -- Simple transforms
 getImplicit3 ctx (Rotate3 q symbObj) =
     getImplicit3 ctx symbObj . Linear.rotate (Linear.conjugate q)
@@ -184,4 +191,3 @@ getImplicit3 ctx (RotateExtrude totalRotation translate rotate symbObj) =
                     (obj rz_pos)
               else obj rz_pos
 getImplicit3 ctx (Shared3 obj) = getImplicitShared ctx obj
-
diff --git a/Graphics/Implicit/Primitives.hs b/Graphics/Implicit/Primitives.hs
index c653ab4e..b2e00332 100644
--- a/Graphics/Implicit/Primitives.hs
+++ b/Graphics/Implicit/Primitives.hs
@@ -25,6 +25,7 @@ module Graphics.Implicit.Primitives (
                                      getImplicit',
                                      extrude,
                                      extrudeM,
+                                     link,
                                      extrudeOnEdgeOf,
                                      sphere,
                                      cube, rect3,
@@ -95,7 +96,8 @@ import Graphics.Implicit.Definitions (ObjectContext, ℝ, ℝ2, ℝ3, Box2,
                                                    RotateExtrude,
                                                    ExtrudeOnEdgeOf,
                                                    Shared3,
-                                                   Ellipsoid
+                                                   Ellipsoid,
+                                                   Link
                                                   ),
                                       ExtrudeMScale,
                                       defaultObjectContext
@@ -148,6 +150,9 @@ cylinder r = cylinder2 r r
 boxFrame :: ℝ3 -> ℝ -> SymbolicObj3
 boxFrame = BoxFrame
 
+link :: ℝ -> ℝ -> ℝ -> SymbolicObj3
+link = Link
+
 cone ::
     ℝ                   -- ^ Radius of the cylinder
     -> ℝ                -- ^ Height of the cylinder
diff --git a/tests/GoldenSpec/Spec.hs b/tests/GoldenSpec/Spec.hs
index 93d0a405..b8b05993 100644
--- a/tests/GoldenSpec/Spec.hs
+++ b/tests/GoldenSpec/Spec.hs
@@ -10,7 +10,7 @@ import Graphics.Implicit
 import Graphics.Implicit.Export.OutputFormat (OutputFormat (PNG))
 import Prelude
 import Test.Hspec ( describe, Spec )
-import Graphics.Implicit.Primitives (torus, ellipsoid, cone, boxFrame)
+import Graphics.Implicit.Primitives (torus, ellipsoid, cone, boxFrame, link)
 
 default (Int)
 
@@ -179,6 +179,12 @@ spec = describe "golden tests" $ do
       , translate (V3 0 0 10) $ boxFrame (V3 10 10 10) 2
       ]
 
+  golden "link" 2 $
+    union
+     [ link 13 20 9
+     , translate (V3 0 0 10 )$ rotate3 (V3 0 (pi/2) 0) $ rotate3 (V3 (pi/2) 0 0) $ link 6.5 10 4.5
+     ]
+
   golden "closing-paths-1" 0.5 $
     extrudeM
       (Left 0)

From 616db6226a64218310e6ff01cf27f68d3da5c9ce Mon Sep 17 00:00:00 2001
From: Owen Harvey <owenlharvey@gmail.com>
Date: Sun, 31 Dec 2023 10:58:59 +1000
Subject: [PATCH 3/5] Formatting

---
 Graphics/Implicit/Canon.hs      | 1 -
 Graphics/Implicit/Primitives.hs | 3 ++-
 tests/GoldenSpec/Spec.hs        | 2 +-
 3 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/Graphics/Implicit/Canon.hs b/Graphics/Implicit/Canon.hs
index ca63ea9c..5e0bf709 100644
--- a/Graphics/Implicit/Canon.hs
+++ b/Graphics/Implicit/Canon.hs
@@ -96,7 +96,6 @@ import Graphics.Implicit.Definitions
       , Ellipsoid
       , BoxFrame
       , Link
-      , Transform3
       )
   , hasZeroComponent
   )
diff --git a/Graphics/Implicit/Primitives.hs b/Graphics/Implicit/Primitives.hs
index b2e00332..d2517222 100644
--- a/Graphics/Implicit/Primitives.hs
+++ b/Graphics/Implicit/Primitives.hs
@@ -51,9 +51,10 @@ module Graphics.Implicit.Primitives (
                                      emptySpace,
                                      fullSpace,
                                      withRounding,
+                                     boxFrame,
                                      _Shared,
                                      pattern Shared,
-                                     Object(Space, canonicalize), boxFrame) where
+                                     Object(Space, canonicalize)) where
 
 import Prelude(Applicative, Eq, Foldable, Num, abs, (<), otherwise, Num, (-), (*), (/), (.), negate, Bool(True, False), Maybe(Just, Nothing), Either, fmap, ($), (<=), (&&), max, Ord)
 
diff --git a/tests/GoldenSpec/Spec.hs b/tests/GoldenSpec/Spec.hs
index b8b05993..e8c5812b 100644
--- a/tests/GoldenSpec/Spec.hs
+++ b/tests/GoldenSpec/Spec.hs
@@ -172,7 +172,7 @@ spec = describe "golden tests" $ do
       , ellipsoid 10 15 20
       , translate (V3 0 0 25) $ cone 20 20
       ]
-  
+
   golden "boxFrame" 2 $
     union
       [ boxFrame (V3 20 20 20) 2

From 5101b509fafa36ec4036d69ef308d3a408947ea8 Mon Sep 17 00:00:00 2001
From: sorki <srk@48.io>
Date: Sat, 6 Jan 2024 16:16:57 +0100
Subject: [PATCH 4/5] CHANGELOG: boxFrame and link

---
 CHANGELOG.md | 1 +
 1 file changed, 1 insertion(+)

diff --git a/CHANGELOG.md b/CHANGELOG.md
index 62dec941..a4830946 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,6 +6,7 @@
 * Haskell interface changes
   * `extrude` arguments are now swapped, instead of `extrude obj height` we now have `extrude height obj` [#473](https://github.com/Haskell-Things/ImplicitCAD/issues/473)
   * Added `slice` primitive [#448](https://github.com/Haskell-Things/ImplicitCAD/pull/448)
+  * Added `boxFrame` and `link` primitive [#471](https://github.com/Haskell-Things/ImplicitCAD/pull/471)
 
 * Other changes
   * Fixing `shell` so that it doesn't increase the outside dimentions of objects.

From 82c987e89d84edd085f6bcf463e905138da30fc7 Mon Sep 17 00:00:00 2001
From: sorki <srk@48.io>
Date: Sat, 6 Jan 2024 16:18:59 +0100
Subject: [PATCH 5/5] Add golden boxFrame and link

---
 tests/golden/boxFrame.ascii.stl | 32258 +++++++++++
 tests/golden/link.ascii.stl     | 92738 ++++++++++++++++++++++++++++++
 2 files changed, 124996 insertions(+)
 create mode 100644 tests/golden/boxFrame.ascii.stl
 create mode 100644 tests/golden/link.ascii.stl

diff --git a/tests/golden/boxFrame.ascii.stl b/tests/golden/boxFrame.ascii.stl
new file mode 100644
index 00000000..1e940a15
--- /dev/null
+++ b/tests/golden/boxFrame.ascii.stl
@@ -0,0 +1,32258 @@
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