waterfall-cad-examples (empty) → 0.0.0.1
raw patch · 11 files changed
+881/−0 lines, 11 filesdep +basedep +lensdep +linear
Dependencies added: base, lens, linear, opencascade-hs, optparse-applicative, waterfall-cad, waterfall-cad-examples
Files
- CHANGELOG.md +11/−0
- LICENSE +502/−0
- README.md +1/−0
- app/Main.hs +44/−0
- src/CsgExample.hs +20/−0
- src/FilletExample.hs +24/−0
- src/GearExample.hs +147/−0
- src/PrismExample.hs +17/−0
- src/RevolutionExample.hs +25/−0
- src/SweepExample.hs +24/−0
- waterfall-cad-examples.cabal +66/−0
+ CHANGELOG.md view
@@ -0,0 +1,11 @@+# Changelog for `waterfall-cad-examples`++All notable changes to this project will be documented in this file.++The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),+and this project adheres to the+[Haskell Package Versioning Policy](https://pvp.haskell.org/).++## Unreleased++## 0.0.0.1 - YYYY-MM-DD
+ LICENSE view
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+ README.md view
@@ -0,0 +1,1 @@+# Examples for Waterfall CAD
+ app/Main.hs view
@@ -0,0 +1,44 @@+module Main (main) where++import CsgExample (csgExample)+import PrismExample (prismExample)+import GearExample (gearExample)+import FilletExample (filletExample)+import RevolutionExample (revolutionExample)+import SweepExample (sweepExample)+import Waterfall.IO (writeSTL, writeSTEP)+import qualified Waterfall.Solids as Solids+import qualified Options.Applicative as OA+import Control.Applicative ((<|>))+import Control.Monad (join)++outputOption :: OA.Parser (Solids.Solid -> IO ()) +outputOption =+ let stlOption = writeSTL <$> (OA.option OA.auto (OA.long "resolution" <> OA.help "stl file linear tolerance") <|> pure 0.001) <*>+ OA.strOption (OA.long "stl" <> OA.metavar "Stl file to write results to")+ stepOption = writeSTEP <$> OA.strOption (OA.long "step" <> OA.metavar "Stl file to write results to")+ in stlOption <|> stepOption++exampleOption :: OA.Parser Solids.Solid+exampleOption = OA.flag' csgExample (OA.long "csg" <> OA.help "example from the wikipedia page on Constructive Solid Geometry" ) <|>+ OA.flag' prismExample (OA.long "prism" <> OA.help "need to give this a better name" ) <|>+ OA.flag' filletExample (OA.long "fillet" <> OA.help "demonstrates adding fillets to an object" ) <|>+ OA.flag' revolutionExample (OA.long "revolution" <> OA.help "demonstrates revolving a path into a solid" ) <|>+ OA.flag' sweepExample (OA.long "sweep" <> OA.help "demonstrates sweeping a shape along a path" ) <|>+ (OA.flag' gearExample (OA.long "gear" <> OA.help "generate an involute gear") <*>+ (OA.option OA.auto (OA.long "thickness" <> OA.help "gear depth") <|> pure 1.0) <*>+ (OA.option OA.auto (OA.long "module" <> OA.help "gear module") <|> pure 5.0) <*>+ (OA.option OA.auto (OA.long "nGears" <> OA.help "number of gears") <|> pure 20) <*>+ (OA.option OA.auto (OA.long "pitch" <> OA.help "pitchAngle") + <|> ((* (pi/180)) <$> OA.option OA.auto (OA.long "pitchDegrees" <> OA.help "pitch angle in degrees"))+ <|> pure (20*pi/180)) + )+++main :: IO ()+main = join (OA.execParser opts)+ where+ opts = OA.info ((outputOption <*> exampleOption) OA.<**> OA.helper) + (OA.fullDesc+ <> OA.progDesc "generate and write a 3D model"+ <> OA.header "examples for Waterfall-CAD")
+ src/CsgExample.hs view
@@ -0,0 +1,20 @@+module CsgExample+( csgExample+) where ++import qualified Waterfall.Solids as Solids+import qualified Waterfall.Transforms as Transforms+import Waterfall.Booleans.Operators ( (~-~), (~/\~), (~\/~) )+import Linear (V3 (..), (^*), unit, _x, _y, _z )+import Data.Function ((&))++csgExample :: Solids.Solid+csgExample = let + sphere = Solids.unitSphere+ cube = Transforms.uScale 1.5 Solids.centeredCube+ cylinder = Solids.unitCylinder &+ Transforms.translate (unit _z ^* (-0.5)) &+ Transforms.scale (V3 0.55 0.55 4) + cylinderA = Transforms.rotate (unit _x) (pi/2) cylinder+ cylinderB = Transforms.rotate (unit _y) (pi/2) cylinder+ in (cube ~/\~ sphere) ~-~ (cylinder ~\/~ cylinderA ~\/~ cylinderB)
+ src/FilletExample.hs view
@@ -0,0 +1,24 @@+module FilletExample (+ filletExample+) where++import Waterfall.Solids( Solid, centeredCube )+import Waterfall.Transforms (translate)+import Waterfall.Fillet(roundFillet, roundConditionalFillet, roundIndexedConditionalFillet)+import Control.Lens ((^.))+import Linear (V3 (..), _z)+import Control.Monad (guard)++filletExample :: Solid+filletExample =+ mconcat $ zipWith+ (\i -> translate (V3 i 0 0 ))+ [0, 2 ..]+ -- round every edge+ [ roundFillet 0.1 centeredCube+ -- round horizontal edges + , roundConditionalFillet (\(s, e) -> if s ^. _z == e ^._z then Nothing else Just 0.1) centeredCube+ -- round edges with odd indices by a variable radius depending on the edge index+ , roundIndexedConditionalFillet (\i _ -> (fromIntegral i * 0.04) <$ guard (odd i)) centeredCube+ ]+
+ src/GearExample.hs view
@@ -0,0 +1,147 @@+{-|+ This is directly implemented from [\"Gear Drawing with Bézier Curves\" by Dr A R Collins](https://www.arc.id.au/GearDrawing.html).++ Found Indirectly via Mathew Dockrey + ( [Attoparsec](https://www.attoparsec.com/) + ( [the YouTube channel](https://www.youtube.com/attoparsec), not the parser library ) )+ and his [Inkscape Plugin](https://github.com/attoparsec/inkscape-extensions)++ And David Douard and Jonas Bähr, and their [FreeCAD module](https://github.com/FreeCAD/FreeCAD/blob/0ac0882eeb4e3390aef464e1807a3631c5f2e858/src/Mod/PartDesign/fcgear/involute.py)+-}+module GearExample +( gearExample+) where ++import qualified Waterfall.Solids as Solids+import qualified Waterfall.TwoD.Shape as Shape+import qualified Waterfall.TwoD.Path2D as Path2D+import Waterfall.TwoD.Transforms (rotate2D)+import Control.Lens ((^.))+import Linear (V2 (..), _y)+import Data.Maybe (catMaybes)+++chebyExpnCoeffs :: Int -> (Double -> Double) -> Double+chebyExpnCoeffs j f = + let n = 50 :: Int+ jf = fromIntegral j+ nf = fromIntegral n + c = sum [let kf = fromIntegral k in f (cos (pi * (kf - 0.5)/nf)) * cos (pi * jf * (kf - 0.5)/nf)| k <- [1..n]]+ in 2 * c / nf++cheby :: [[Double]] +cheby = [ [ 1, 0, 0, 0, 0, 0]+ , [ 0, 1, 0, 0, 0, 0]+ , [-1, 0, 2, 0, 0, 0]+ , [ 0, -3, 0, 4, 0, 0]+ , [ 1, 0, -8, 0, 8, 0]+ , [ 0, 5, 0,-20, 0, 16]+ ]++-- limited to p' = 5, but in practice p' = 4+chebyApprox :: (Double -> Double) -> Int -> [Double]+chebyApprox f p' = + let fnCoeffs = [chebyExpnCoeffs k f | k <- [0..p'] ]+ adjust 0 = head fnCoeffs /2+ adjust _ = 0+ in [ sum [fnCoeffs!!k * (cheby !! k !! pwr) | k <- [0..p'] ] - adjust pwr | pwr <- [0..p'] ]++binom :: Int -> Int -> Double +binom n k = fromIntegral (product [n - k + 1 .. n]) / fromIntegral (product [1..k])++involuteBezCoeffs :: Double -> Double -> Double -> Double -> (V2 Double, V2 Double, V2 Double, V2 Double)+involuteBezCoeffs rA rB fStart fStop = + let + p = 3+ ta = sqrt (rA * rA - rB * rB)/ rB -- involute angle at addendum+ ts = ta * sqrt fStart+ te = ta * sqrt fStop++ involuteXbez t =+ let x = t*2 -1+ theta = x * (te - ts) / 2 + (ts + te)/2+ in rB * ( cos theta + theta * sin theta )+ involuteYbez t = + let x = t*2 - 1+ theta = x * (te - ts) / 2 + (ts + te)/2+ in rB * ( sin theta - theta * cos theta )++ bezCoeff i f = + let polyCoeffs = chebyApprox f p+ in sum [binom i j * (polyCoeffs !! j) / binom p j | j<- [0..i]]++ v i = V2 (bezCoeff i involuteXbez) (bezCoeff i involuteYbez)++ in (v 0, v 1, v 2, v 3)++genInvolutePolar :: Double -> Double -> Double+genInvolutePolar rb r = let ra = sqrt (r * r - rb * rb) in ra/rb - acos (rb / r)++polarToCart :: Double -> Double -> V2 Double+polarToCart rad angle = V2 (rad * cos angle) (rad * sin angle)++genGearToothData :: Double -> Int -> Double -> Path2D.Path2D+genGearToothData m z phi = + let addendum = m+ dedendum = 1.25 * m+ clearance = dedendum - addendum+ rPitch = fromIntegral z * m / 2+ rb = rPitch * cos phi+ ra = rPitch + addendum+ rRoot = rPitch - dedendum+ fRad = 1.5 * clearance + pitchAngle = 2 * pi / fromIntegral z+ baseToPitchAngle = genInvolutePolar rb rPitch+ rf' = sqrt ((rRoot + fRad) * (rRoot + fRad) - (fRad * fRad))+ rf = if rb < rf'+ then rRoot + clearance + else rf'+ pitchToFilletAngle = + if rf > rb + then baseToPitchAngle - genInvolutePolar rb rf + else baseToPitchAngle + filletAngle = atan (fRad / (fRad + rRoot))+ fe = 1+ fs = if rf > rb + then (rf * rf - rb *rb) / (ra*ra - rb*rb)+ else 0.01 -- fraction of length offset from base to avoid singularity+ fm = fs + (fe - fs)/ 4+ (dbz1, dbz2, dbz3, dbz4) = involuteBezCoeffs ra rb fs fm + (_, abz2, abz3, abz4) = involuteBezCoeffs ra rb fm fe + rotateBez = rotate2D (-baseToPitchAngle-pitchAngle/4)+ rotateBez' = (* V2 1 (-1)) . rotateBez+ fillet = polarToCart rf (-pitchAngle / 4 - pitchToFilletAngle)+ arcMiddle = polarToCart ra 0+ filletR = (* V2 1 (-1)) fillet+ rootR = polarToCart rRoot (pitchAngle/4 +pitchToFilletAngle + filletAngle)+ rootNext = polarToCart rRoot (3*pitchAngle/4 - pitchToFilletAngle - filletAngle)+ filletNext = rotate2D pitchAngle fillet++ in Path2D.pathFrom fillet $ + catMaybes + [ if rf < rb + then Just $ Path2D.lineTo (rotateBez dbz1)+ else Nothing+ , Just $ Path2D.bezierTo (rotateBez dbz2) (rotateBez dbz3) (rotateBez dbz4)+ , Just $ Path2D.bezierTo (rotateBez abz2) (rotateBez abz3) (rotateBez abz4)+ , Just $ Path2D.arcViaTo arcMiddle (rotateBez' abz4)+ , Just $ Path2D.bezierTo (rotateBez' abz3) (rotateBez' abz2) (rotateBez' dbz4)+ , Just $ Path2D.bezierTo (rotateBez' dbz3) (rotateBez' dbz2) (rotateBez' dbz1)+ , if rf < rb + then Just $ Path2D.lineTo filletR+ else Nothing+ , if rootNext ^. _y > rootR ^. _y+ then Just $ Path2D.pathFromTo + [ Path2D.arcTo Path2D.Counterclockwise fRad rootR+ , Path2D.arcTo Path2D.Counterclockwise rRoot rootNext -- these lines should be arcs+ ]+ else Nothing+ , Just $ Path2D.arcTo Path2D.Counterclockwise fRad filletNext+ ]+-- Thickness, Module, Number Teeth, pressure Angle +gearExample :: Double -> Double -> Int -> Double -> Solids.Solid+gearExample thickness moduleLength nGears pressureAngle =+ let segment = genGearToothData moduleLength nGears pressureAngle+ path = Path2D.repeatLooping segment+ --path = mconcat [rotate2D (-fromIntegral n * pi * 2 / fromIntegral nGears) segment | n <- [0..nGears]]+ in Solids.prism thickness . Shape.fromPath $ path
+ src/PrismExample.hs view
@@ -0,0 +1,17 @@+module PrismExample+( prismExample+) where ++import qualified Waterfall.Solids as Solids+import qualified Waterfall.TwoD.Shape as Shape+import qualified Waterfall.TwoD.Path2D as Path2D+import Linear (V2 (..))++prismExample :: Solids.Solid+prismExample = Solids.prism 1 . Shape.fromPath $+ Path2D.pathFrom (V2 (-1) (-1)) + [ Path2D.arcViaTo (V2 (-1.5) 0) (V2 (-1) 1)+ , Path2D.lineTo (V2 1 1)+ , Path2D.bezierTo (V2 1.5 1) (V2 1.5 (-1)) (V2 1 (-1))+ , Path2D.lineTo (V2 (-1) (-1))+ ]
+ src/RevolutionExample.hs view
@@ -0,0 +1,25 @@+module RevolutionExample +( revolutionExample +) where++import Waterfall.Solids (Solid)+import qualified Waterfall.TwoD.Path2D as Path2D+import Waterfall.Revolution (revolution)+import Linear (V2 (..))++revolutionExample :: Solid+revolutionExample = + revolution $ + Path2D.pathFrom (V2 0 0)+ [ Path2D.lineTo (V2 1 0)+ , Path2D.lineRelative (V2 0.1 0.16)+ , Path2D.lineTo (V2 1 0.2)+ , Path2D.arcRelative Path2D.Clockwise 0.1 (V2 0 0.2)+ , Path2D.bezierRelative (V2 (-0.6) 0.0) (V2 (-0.8) 2.2) (V2 (-0.8) 2.6)+ , Path2D.lineTo (V2 0.5 3.0)+ , Path2D.lineRelative (V2 0.1 0.16)+ , Path2D.lineRelative (V2 (-0.2) 0.04)+ , Path2D.lineTo (V2 0.1 3.2)+ , Path2D.arcViaRelative (V2 0.5 0.6) (V2 (-0.1) 1.2)+ ]+
+ src/SweepExample.hs view
@@ -0,0 +1,24 @@+module SweepExample +( sweepExample +) where++import Waterfall.Sweep (sweep)+import Waterfall.Solids (Solid)+import qualified Waterfall.Path as Path+import qualified Waterfall.TwoD.Path2D as Path2D+import qualified Waterfall.TwoD.Shape as Shape+import Linear ( V3 (..), (*^), angle, unit, _x, zero )++sweepExample :: Solid+sweepExample = ++ let sweepPath = Path.pathFrom zero + [ Path.bezierRelative (V3 0 0 0.5) (V3 0.5 0.5 0.5) (V3 0.5 0.5 1)+ , Path.bezierRelative (V3 0 0 0.5) (V3 (-0.5) (-0.5) 0.5) (V3 (-0.5) (-0.5) 1)+ , Path.arcViaRelative (V3 0 1 1) (V3 0 2 0)+ , Path.lineTo (V3 0 2 0) + ] + sweepProfile = Shape.fromPath $+ Path2D.repeatLooping $+ Path2D.bezier (0.25 *^ unit _x) (0.5 *^ unit _x) (0.5 *^ angle (pi/6)) (0.25 *^ angle (pi/6))+ in sweep sweepPath sweepProfile
+ waterfall-cad-examples.cabal view
@@ -0,0 +1,66 @@+cabal-version: 1.12++-- This file has been generated from package.yaml by hpack version 0.36.0.+--+-- see: https://github.com/sol/hpack++name: waterfall-cad-examples+version: 0.0.0.1+synopsis: Examples for Waterfall CAD, a Declarative CAD/Solid Modeling Library+description: Please see the README on GitHub at <https://github.com/joe-warren/opencascade-hs#readme>+category: Graphics+homepage: https://github.com/joe-warren/opencascade-hs#readme+bug-reports: https://github.com/joe-warren/opencascade-hs/issues+author: Joe Warren+maintainer: josephmarkwarren@gmail.com+copyright: 2023 Joe Warren+license: LGPL-2.1+license-file: LICENSE+build-type: Simple+extra-source-files:+ LICENSE+ README.md+ CHANGELOG.md++source-repository head+ type: git+ location: https://github.com/joe-warren/opencascade-hs++library+ exposed-modules:+ CsgExample+ FilletExample+ GearExample+ PrismExample+ RevolutionExample+ SweepExample+ other-modules:+ Paths_waterfall_cad_examples+ hs-source-dirs:+ src+ ghc-options: -Wall -Wcompat -Widentities -Wincomplete-record-updates -Wincomplete-uni-patterns -Wmissing-export-lists -Wmissing-home-modules -Wpartial-fields -Wredundant-constraints+ build-depends:+ base >=4.7 && <5+ , lens ==5.*+ , linear >=1.21 && <2+ , opencascade-hs >=0.0.0.1 && <0.1+ , optparse-applicative >=0.17 && <0.19+ , waterfall-cad >=0.0.0.1 && <0.1+ default-language: Haskell2010++executable waterfall-cad-examples+ main-is: Main.hs+ other-modules:+ Paths_waterfall_cad_examples+ hs-source-dirs:+ app+ ghc-options: -Wall -Wcompat -Widentities -Wincomplete-record-updates -Wincomplete-uni-patterns -Wmissing-export-lists -Wmissing-home-modules -Wpartial-fields -Wredundant-constraints -threaded -rtsopts -with-rtsopts=-N+ build-depends:+ base >=4.7 && <5+ , lens ==5.*+ , linear >=1.21 && <2+ , opencascade-hs >=0.0.0.1 && <0.1+ , optparse-applicative >=0.17 && <0.19+ , waterfall-cad >=0.0.0.1 && <0.1+ , waterfall-cad-examples+ default-language: Haskell2010