diff --git a/.github/FUNDING.yml b/.github/FUNDING.yml new file mode 100644 --- /dev/null +++ b/.github/FUNDING.yml @@ -0,0 +1,12 @@ +# These are supported funding model platforms + +github: julialongtin # Replace with up to 4 GitHub Sponsors-enabled usernames e.g., [user1, user2] +patreon: # Replace with a single Patreon username +open_collective: # Replace with a single Open Collective username +ko_fi: # Replace with a single Ko-fi username +tidelift: # Replace with a single Tidelift platform-name/package-name e.g., npm/babel +community_bridge: # Replace with a single Community Bridge project-name e.g., cloud-foundry +liberapay: # Replace with a single Liberapay username +issuehunt: # Replace with a single IssueHunt username +otechie: # Replace with a single Otechie username +custom: # Replace with up to 4 custom sponsorship URLs e.g., ['link1', 'link2'] diff --git a/.github/workflows/ci.dhall b/.github/workflows/ci.dhall new file mode 100644 --- /dev/null +++ b/.github/workflows/ci.dhall @@ -0,0 +1,18 @@ +let haskellCi = https://raw.githubusercontent.com/sorki/github-actions-dhall/pending/haskell-ci.dhall + +in haskellCi.generalCi + haskellCi.matrixSteps + ( Some + { ghc = + [ haskellCi.GHC.GHC902 + , haskellCi.GHC.GHC8107 + , haskellCi.GHC.GHC884 + , haskellCi.GHC.GHC865 + ] + , cabal = [ haskellCi.Cabal.Cabal34 ] + } + ) + // { on = [ haskellCi.Event.push + , haskellCi.Event.pull_request ] + } + : haskellCi.CI.Type diff --git a/.github/workflows/ci.sh b/.github/workflows/ci.sh new file mode 100644 --- /dev/null +++ b/.github/workflows/ci.sh @@ -0,0 +1,10 @@ +#!/usr/bin/env bash + +set -eo pipefail +cd "$( dirname "${BASH_SOURCE[0]}" )" + +echo "regenerating .github/workflows/ci.yaml..." + +# based on https://github.com/vmchale/github-actions-dhall +which dhall-to-yaml || cabal install dhall-yaml +dhall-to-yaml --file ci.dhall > ci.yaml diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml new file mode 100644 --- /dev/null +++ b/.github/workflows/ci.yaml @@ -0,0 +1,47 @@ +jobs: + build: + runs-on: ubuntu-latest + steps: + - uses: "actions/checkout@v3" + - id: setup-haskell-cabal + uses: "haskell/actions/setup@v2" + with: + cabal-version: "${{ matrix.cabal }}" + enable-stack: false + ghc-version: "${{ matrix.ghc }}" + - name: Update Hackage repository + run: cabal update + - name: cabal.project.local.ci + run: | + if [ -e cabal.project.local.ci ]; then + cp cabal.project.local.ci cabal.project.local + fi + - name: freeze + run: cabal freeze + - uses: "actions/cache@v3" + with: + key: "${{ runner.os }}-${{ matrix.ghc }}-cabal-${{ hashFiles('cabal.project.freeze') }}" + path: | + ${{ steps.setup-haskell-cabal.outputs.cabal-store }} + dist-newstyle + - name: Install dependencies + run: cabal build all --enable-tests --enable-benchmarks --only-dependencies + - name: build all + run: cabal build all --enable-tests --enable-benchmarks + - name: test all + run: cabal test all --enable-tests + - name: haddock all + run: cabal haddock all + strategy: + matrix: + cabal: + - '3.4' + ghc: + - '9.0.2' + - '8.10.7' + - '8.8.4' + - '8.6.5' +name: Haskell CI +on: + - push + - pull_request diff --git a/.github/workflows/ormolu.yaml b/.github/workflows/ormolu.yaml new file mode 100644 --- /dev/null +++ b/.github/workflows/ormolu.yaml @@ -0,0 +1,51 @@ +# FUTUREWORK: add this to `ci.dhall`? + +name: Ormolu +on: + - pull_request + +jobs: + ormolu: + runs-on: ubuntu-18.04 + steps: + - uses: "actions/checkout@v1" + + - uses: "actions/setup-haskell@v1.1.4" + id: setup-haskell-cabal + with: + cabal-version: "${{ matrix.cabal }}" + enable-stack: false + ghc-version: "${{ matrix.ghc }}" + + - uses: "actions/cache@v2" + name: Cache + with: + key: "${{ runner.os }}" + path: | + "${{ steps.setup-haskell-cabal.outputs.cabal-store }}" + ~/.cabal/packages + ~/.cabal/store + ~/.cabal/bin + dist-newstyle + ~/.local/bin + + - name: Install dependencies + run: | + export PATH=$PATH:$HOME/.cabal/bin:$HOME/.local/bin + export ORMOLU_VERSION=$(cat ./layout/ormolu.version) + (ormolu -v 2>/dev/null | grep -q $ORMOLU_VERSION) || (cabal update && cabal install ormolu --constraint="ormolu ==$ORMOLU_VERSION") + test -e $HOME/.local/bin/yq || pip3 install yq + shell: bash + + - name: Ormolu + run: | + export PATH=$PATH:$HOME/.cabal/bin:$HOME/.local/bin + ./layout/ormolu.sh -c + shell: bash + + strategy: + matrix: + cabal: + - '3.2' + ghc: + - '8.10.1' diff --git a/.gitignore b/.gitignore new file mode 100644 --- /dev/null +++ b/.gitignore @@ -0,0 +1,38 @@ +# Intermediary files +*.hi +*.o +*.hi-boot +*.o-boot +# Generated by using ImplicitCAD +*.dxf +*.png +*.ps +*.stl +!tests/golden/*.stl +*.svg +# Generated by the build process +cabal.project.local +Setup +.stack-work/ +Examples/example[0-9][0-9] +Examples/*cachegrind* +dist/ +dist-newstyle/ +.ghc.environment.* +# Generated documentation. +docs/iscad.md +# Generated by examples +Examples/*cachegrind* +Examples/example[0-9][0-9] +# emacs backups +*~ +# Patches gone wrong. +*.orig +# Unknown +*.log +/ImplicitCAD.lkshs +/ImplicitCAD.lkshw +/.dist-buildwrapper +/.settings +/.project +stack.yaml.lock diff --git a/.travis.yml b/.travis.yml new file mode 100644 --- /dev/null +++ b/.travis.yml @@ -0,0 +1,21 @@ +sudo: required +dist: trusty + +language: c + +addons: + apt: + packages: + - libgmp-dev + +before_install: +- mkdir -p ~/.local/bin +- export PATH=$HOME/.local/bin:$PATH +- travis_retry curl -sSL https://get.haskellstack.org/ | sh + +script: +- stack --no-terminal --install-ghc test + +cache: + directories: + - $HOME/.stack diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,46 @@ +# Version [0.4.0.0](https://github.com/Haskell-Things/ImplicitCAD/compare/v0.3.0.0...v0.4.0.0) (2022-06-06) + +* Changelog started. Previous release was `0.3.0.1`. + +* Haskell interface changes + * Added support for XY-scaling on `linear_extrude` [#269](https://github.com/Haskell-Things/ImplicitCAD/pull/269) + * `ExtrudeRM` scale type changes from `(Either ℝ (ℝ -> ℝ))` to `ExtrudeRMScale` + * Replaced the Rect primitives with SquareR and CubeR [#296](https://github.com/Haskell-Things/ImplicitCAD/pull/296) + * `squareR` and `cubeR` are now available + * Added support for mirroring objects around axis using `mirror` function [#300](https://github.com/Haskell-Things/ImplicitCAD/pull/300) + * `differenceR` changes type to require mandatory shape to substract from [#294](https://github.com/Haskell-Things/ImplicitCAD/pull/294) + * from `Object obj vec => R -> [obj] -> obj` + * to `Object obj vec => R -> obj -> [obj] -> obj` + * Both `SymbolicObj2` and `SymbolicObj3` now have `Semigroup` and `Monoid` instances, where `<>` acts as `union` [#301](https://github.com/Haskell-Things/ImplicitCAD/pull/301) + * Added `rotateQ` function for rotating with Quaternions [#314][https://github.com/Haskell-Things/ImplicitCAD/pull/314] + * `ℝ2` and `ℝ3` are now using `V2` and `V3` from `linear` instead of tuples [#342](https://github.com/Haskell-Things/ImplicitCAD/pull/342) + * Rounding is now separate from primitives [#362](https://github.com/Haskell-Things/ImplicitCAD/pull/362) + * Introduces `withRounding` function. + * Instead of `primitiveR roundingValue ...` we now use `withRounding roundingValue (primitive ...)` + * Replaces `squareR`, `rectR`, `polygonR`, `cubeR`, `rect3R`, `extrudeR`, `extrudeRM` with versions + without rounding arugment (`square`, `rect`, ...). + * Removed `ExtrudeRotateR` [#365](https://github.com/Haskell-Things/ImplicitCAD/pull/365) + * `rotateExtrude` now longer accepts rounding paramater [#367](https://github.com/Haskell-Things/ImplicitCAD/pull/367) + * Added `transform3` (transform using 4x4 matrix representing affine transformation) [#410](https://github.com/Haskell-Things/ImplicitCAD/pull/410) + * Changed `Object obj vec` class to `Object obj f a` [#420](https://github.com/Haskell-Things/ImplicitCAD/pull/420) + +* ExtOpenSCAD interface changes + * `scale` function with single parameter now behaves similar to OpenSCAD one [#258](https://github.com/Haskell-Things/ImplicitCAD/pull/258) + * scales 2D object in both dimensions + * `rotateExtrude` angle `a` parameter renamed to `angle` to match OpenSCAD [#259](https://github.com/Haskell-Things/ImplicitCAD/pull/259) + * Added `mirror` support [#300](https://github.com/Haskell-Things/ImplicitCAD/pull/300) + * Added `multmatrix` support [#410](https://github.com/Haskell-Things/ImplicitCAD/pull/410) + +* Other changes + * Fixed the ExtOpenSCAD lexer bug where newlines were part of identifiers [#256](https://github.com/Haskell-Things/ImplicitCAD/pull/256) + * `implicitsnap` not built by default anymore [#272](https://github.com/Haskell-Things/ImplicitCAD/pull/272) + * Can be enabled again with `cabal configure --flag=implicitsnap` + * Fixed vertex coordinates of OBJ output [#281](https://github.com/Haskell-Things/ImplicitCAD/pull/281) + * `discreteAprox` of `NormedTriangleMesh` now runs in parallel [#282](https://github.com/Haskell-Things/ImplicitCAD/pull/282) + * Binaries now built with default `-rtsopts "-with-rtsopts -N -qg -t"` to allow automatic parallelization + * Added haddocks for Haskell eDSL [#284](https://github.com/Haskell-Things/ImplicitCAD/pull/284) & [#287](https://github.com/Haskell-Things/ImplicitCAD/pull/287) + * Added golden test machinery [#311](https://github.com/Haskell-Things/ImplicitCAD/pull/311) + * Added quickcheck test machinery for implicit functions [#316](https://github.com/Haskell-Things/ImplicitCAD/pull/316) + * Rotate now internally uses quaternions [#314](https://github.com/Haskell-Things/ImplicitCAD/pull/314) + * Fixes to triangle generation [#355](https://github.com/Haskell-Things/ImplicitCAD/pull/355) and [#375](https://github.com/Haskell-Things/ImplicitCAD/pull/375) + * ExtOpenSCAD vector addition [#408](https://github.com/Haskell-Things/ImplicitCAD/pull/408) diff --git a/CONTRIBUTORS b/CONTRIBUTORS new file mode 100644 --- /dev/null +++ b/CONTRIBUTORS @@ -0,0 +1,37 @@ +A big thanks to our past and present contributors: + +shkoo -- Nils McCarthy -- nils@shkoo.com +diffoperator -- Nikhil Sarda -- nikhilsarda.iitkgp@gmail.com +matthewSorensen -- Matthew D Sorensen +krakrjak -- Zac Slade -- krakrjak@gmail.com +bergey -- Daniel Bergey -- bergey@teallabs.org +colah -- Chris Olah -- CristopherOlah.Co@gmail.com +rotty -- Andreas Rottmann -- a.rottmann@gmx.at +bgamari -- Ben Gamari -- BGamari@gmail.com +TheGrum -- Howard C. Shaw III -- howardcshaw@gmail.com +katee -- Kate Murphy -- hello@kate.io +andres-erbsen -- Andres Erbsen -- andreser@mit.edu +tolomea -- Gordon Wrigley -- Gordon.Wrigley@gmail.com +silky -- Noon van der Silk -- noonsilk@gmail.com +mmachenry -- Mike Machenry -- Mike.Machenry@gmail.com +julialongtin -- Julia Longtin -- JuliaL@TuringLace.com +chicagoduane -- Duane Johnson -- Duane.Johnson@gmail.com +l29ah -- Sergey Alirzaev -- zl29ah@gmail.com +firegurafiku -- Pavel Kretov -- firegurafiku@gmail.com +gambogi -- Matthew Gambogi -- m@gambogi.com +cookshak -- Kelvin Cookshaw -- kelvin@cookshaw.com +kpe -- ?? -- ?? +junjihashimoto -- ?? -- ?? +afcaddy -- ?? -- ?? +lepsa -- Owen Harvey -- owenlharvey@gmail.com +sorki -- Richard Marko -- rmarko@fedoraproject.org +Eelis -- ?? -- ?? +raptortech-js -- Jackie Scholl - jackie.h.scholl@gmail.com +isovector -- Sandy Maguire -- sandy@sandymaguire.me +ryantrinkle -- Ryan Trinkle -- ryan.trinkle@gmail.com +RealET -- Erik Trinkle -- erik.trinkle@cyboard.digital + +Thanks as well, to raghuugare. Due to not being contactable, +his code has been removed during the license update. + + diff --git a/Examples/example1.scad b/Examples/example1.scad new file mode 100644 --- /dev/null +++ b/Examples/example1.scad @@ -0,0 +1,4 @@ +union() { + square([80,80]); + translate ([80,80]) circle(30); +} diff --git a/Examples/example10.escad b/Examples/example10.escad new file mode 100644 --- /dev/null +++ b/Examples/example10.escad @@ -0,0 +1,4 @@ +// Example10.escad -- map!. +echo(map(cos, [0, pi/2, pi])); +cube(10); +translate (10) cube(10); diff --git a/Examples/example11.hs b/Examples/example11.hs new file mode 100644 --- /dev/null +++ b/Examples/example11.hs @@ -0,0 +1,11 @@ +{- ORMOLU_DISABLE -} +-- Example 11 - the union of a square and a circle. +import Graphics.Implicit + +out = union [ + square True (V2 80 80) + , translate (V2 40 40) $ circle 30 + ] + +main = writeSVG 2 "example11.svg" out + diff --git a/Examples/example12.hs b/Examples/example12.hs new file mode 100644 --- /dev/null +++ b/Examples/example12.hs @@ -0,0 +1,11 @@ +{- ORMOLU_DISABLE -} +-- Example 12 - the rounded union of a square and a circle. +import Control.Applicative (pure) +import Graphics.Implicit + +out = unionR 14 [ + square True (pure 80) -- pure 80 turns into (V2 80 80) + , translate (pure 40) $ circle 30 + ] + +main = writeSVG 2 "example12.svg" out diff --git a/Examples/example13-e.escad b/Examples/example13-e.escad new file mode 100644 --- /dev/null +++ b/Examples/example13-e.escad @@ -0,0 +1,5 @@ +/* Example 13 - The rounded union of a cube and a sphere. */ +union () { + cube ([20,20,20]); + translate ([20,20,20]) sphere (15); +} diff --git a/Examples/example13.hs b/Examples/example13.hs new file mode 100644 --- /dev/null +++ b/Examples/example13.hs @@ -0,0 +1,11 @@ +{- ORMOLU_DISABLE -} +-- Example 13 - the rounded union of a cube and a sphere. +import Control.Applicative (pure) +import Graphics.Implicit + +out = union [ + cube False (pure 20) -- same as (V3 20 20 20) + , translate (pure 20) $ sphere 15 + ] + +main = writeSTL 1 "example13.stl" out diff --git a/Examples/example14.escad b/Examples/example14.escad new file mode 100644 --- /dev/null +++ b/Examples/example14.escad @@ -0,0 +1,10 @@ +// example7.escad -- A twisted rounded extrusion of the rounded union of 5 hexagonical solids. +linear_extrude (height = 40, center=true, twist=90, r=5){ + union ( r = 8) { + circle (10,$fn=6); + translate ([22,0]) circle (10,$fn=6); + translate ([0,22]) circle (10,$fn=6); + translate ([-22,0]) circle (10,$fn=6); + translate ([0,-22]) circle (10,$fn=6); + } +} diff --git a/Examples/example15.scad b/Examples/example15.scad new file mode 100644 --- /dev/null +++ b/Examples/example15.scad @@ -0,0 +1,4 @@ +difference() { +sphere(20); +cylinder(r=17, h=100, center = true); +} diff --git a/Examples/example16.hs b/Examples/example16.hs new file mode 100644 --- /dev/null +++ b/Examples/example16.hs @@ -0,0 +1,13 @@ +{- ORMOLU_DISABLE -} +import Control.Applicative (pure) +import Graphics.Implicit +import Graphics.Implicit.Definitions +import Graphics.Implicit.Primitives + +roundbox:: SymbolicObj3 +roundbox = + implicit + (\(V3 x y z) -> x^4 + y^4 + z^4 - 15000) + (pure (-20), pure 20) + +main = writeSTL 2 "example16.stl" roundbox diff --git a/Examples/example17.hs b/Examples/example17.hs new file mode 100644 --- /dev/null +++ b/Examples/example17.hs @@ -0,0 +1,26 @@ +{- ORMOLU_DISABLE -} +-- Example 17, pulled from our benchmarking suite. +import Control.Applicative (pure) +import Prelude ((<$>), ($), zipWith3, fmap, fromIntegral, (*), (/), Bool(..)) +import Graphics.Implicit (cube, union, translate, writeSTL, V3(..)) +import Graphics.Implicit.Definitions (Fastℕ, ℝ, ℝ3, SymbolicObj3) + +default (Fastℕ, ℝ) + +object2 :: SymbolicObj3 +object2 = squarePipe (pure 10) 1 100 + where + squarePipe :: ℝ3 -> ℝ -> ℝ -> SymbolicObj3 + squarePipe (V3 x y z) diameter precision = + union + ((\start -> translate start + $ cube True (pure diameter) + ) + <$> + zipWith3 + V3 + (fmap (\n -> (fromIntegral n / precision) * x) [0..100]) + (fmap (\n -> (fromIntegral n / precision) * y) [0..100]) + (fmap (\n -> (fromIntegral n / precision) * z) [0..100])) + +main = writeSTL 1 "example17.stl" object2 diff --git a/Examples/example18.escad b/Examples/example18.escad new file mode 100644 --- /dev/null +++ b/Examples/example18.escad @@ -0,0 +1,4 @@ +union () { + linear_extrude (10) polygon([[7.0710678118654755,0],[0,7.0710678118654755],[7.0710678118654755,2*7.0710678118654755],[2*7.0710678118654755,7.0710678118654755]]); + linear_extrude (10) translate (20,0) polygon([[0,0],[10,0],[10,10],[0,10]]); +} diff --git a/Examples/example19.escad b/Examples/example19.escad new file mode 100644 --- /dev/null +++ b/Examples/example19.escad @@ -0,0 +1,6 @@ +// Example 19 -- The union of a cube and a sphere. +union() +{ + cube(20); + translate(20,20,20) sphere (15); +} diff --git a/Examples/example2.escad b/Examples/example2.escad new file mode 100644 --- /dev/null +++ b/Examples/example2.escad @@ -0,0 +1,5 @@ +//example2.escad -- A rounded union of a square and a circle. +union(r=14) { + square([80,80]); + translate ([80,80]) circle(30); +} diff --git a/Examples/example20.escad b/Examples/example20.escad new file mode 100644 --- /dev/null +++ b/Examples/example20.escad @@ -0,0 +1,6 @@ +union() { + square([10, 10]); + translate([10, 5]) + square([10, 20]); +} + diff --git a/Examples/example21.scad b/Examples/example21.scad new file mode 100644 --- /dev/null +++ b/Examples/example21.scad @@ -0,0 +1,14 @@ +union() +{ + cube([10,20,5]); + rotate(30) + translate([0,30,0]) + { + cube([10,20,5]); + rotate(30) + translate([0,30,0]) + { + cube([10,20,5]); + } + } +} diff --git a/Examples/example22.escad b/Examples/example22.escad new file mode 100644 --- /dev/null +++ b/Examples/example22.escad @@ -0,0 +1,2 @@ +cube (10); +cube (10); diff --git a/Examples/example23.escad b/Examples/example23.escad new file mode 100644 --- /dev/null +++ b/Examples/example23.escad @@ -0,0 +1,1 @@ +include ; diff --git a/Examples/example24.escad b/Examples/example24.escad new file mode 100644 --- /dev/null +++ b/Examples/example24.escad @@ -0,0 +1,10 @@ +// example24.escad -- the variably twisted extruded product of the difference of 5 circles. +linear_extrude (height = 40, center=true, twist(h) = 35*cos(h*2*pi/60)) { + difference (r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example25.escad b/Examples/example25.escad new file mode 100644 --- /dev/null +++ b/Examples/example25.escad @@ -0,0 +1,8 @@ +// example25.escad -- mirroring + +union() { + cube(4); + mirror([1, 0, 0]) translate([2, 2, 0]) cube(1); + mirror([0, 1, 0]) translate([2, 2, 0]) cube(2); + mirror([1, 1, 0]) cube(3); +} diff --git a/Examples/example3.escad b/Examples/example3.escad new file mode 100644 --- /dev/null +++ b/Examples/example3.escad @@ -0,0 +1,10 @@ +// example3.escad -- the extruded product of the union of five circles. +linear_extrude (height = 40, center=true){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example4.escad b/Examples/example4.escad new file mode 100644 --- /dev/null +++ b/Examples/example4.escad @@ -0,0 +1,10 @@ +// example4.escad -- the twisted extruded product of the union of five circles. +linear_extrude (height = 40, center=true, twist=90){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example5.escad b/Examples/example5.escad new file mode 100644 --- /dev/null +++ b/Examples/example5.escad @@ -0,0 +1,10 @@ +// example5.escad -- the variably twisted extruded product of the union of 5 circles. +linear_extrude (height = 40, center=true, twist(h) = 35*cos(h*2*pi/60)) { + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example6.escad b/Examples/example6.escad new file mode 100644 --- /dev/null +++ b/Examples/example6.escad @@ -0,0 +1,10 @@ +// example6.escad -- A rounded extrusion of the rounded union of 5 circles. +linear_extrude (height = 40, center=true, r=5){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example7.escad b/Examples/example7.escad new file mode 100644 --- /dev/null +++ b/Examples/example7.escad @@ -0,0 +1,10 @@ +// example7.escad -- A twisted rounded extrusion of the rounded union of 5 circles. +linear_extrude (height = 40, center=true, twist=90, r=5){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} diff --git a/Examples/example8.escad b/Examples/example8.escad new file mode 100644 --- /dev/null +++ b/Examples/example8.escad @@ -0,0 +1,7 @@ +// Example8.escad -- variable assignment in loops. +a = 5; +for (c = [1, 2, 3]) { + echo(c); + a = a*c; + echo(a); +} diff --git a/Examples/example9.escad b/Examples/example9.escad new file mode 100644 --- /dev/null +++ b/Examples/example9.escad @@ -0,0 +1,4 @@ +// Example9.escad -- function currying. +f = max(4); +echo(f(5)); +echo(max(4,5)); diff --git a/Examples/exampleMultmatrix.scad b/Examples/exampleMultmatrix.scad new file mode 100644 --- /dev/null +++ b/Examples/exampleMultmatrix.scad @@ -0,0 +1,36 @@ +// Examples from +// https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#multmatrix +// CC-BY-SA 3.0 https://creativecommons.org/licenses/by-sa/3.0/ + +angle=PI/4; +multmatrix(m = [ [cos(angle), -sin(angle), 0, 0], + [sin(angle), cos(angle), 0, 30], + [ 0, 0, 1, 0], + [ 0, 0, 0, 1] + ] ) +union() { + cylinder(r=10.0,h=10,center=false); + cube(size=[10,10,10],center=false); +} + +// skew +M = [ [ 1 , 0 , 0 , 0 ], + [ 0 , 1 , 0.7, 0 ], // The "0.7" is the skew value; pushed along the y axis as z changes. + [ 0 , 0 , 1 , 0 ], + [ 0 , 0 , 0 , 1 ] ] ; +translate([-20,0,0]) +multmatrix(M) { union() { + cylinder(r=10.0,h=10,center=false); + cube(size=[10,10,10],center=false); +} } + +// same as previous example but using 3x4 matrix +N = [ [ 1 , 0 , 0 , 0 ], + [ 0 , 1 , 0.7, 0 ], // The "0.7" is the skew value; pushed along the y axis as z changes. + [ 0 , 0 , 1 , 0 ] ] ; +translate([20,0,0]) +multmatrix(N) { union() { + cylinder(r=10.0,h=10,center=false); + cube(size=[10,10,10],center=false); +} } + diff --git a/Graphics/Implicit.hs b/Graphics/Implicit.hs --- a/Graphics/Implicit.hs +++ b/Graphics/Implicit.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -7,70 +8,207 @@ this haskell library. -} module Graphics.Implicit ( - module P, - module E, - module W, + -- * Types + W.ℝ, + W.ℝ2, + W.ℝ3, + SymbolicObj2 (), + SymbolicObj3 (), + W.ExtrudeMScale(C1, C2, Fn), + + -- * Shared operations + P.Object (), + P.translate, + P.scale, + P.mirror, + P.complement, + P.union, + P.unionR, + P.intersect, + P.intersectR, + P.difference, + P.differenceR, + P.implicit, + P.shell, + P.outset, + P.emptySpace, + P.fullSpace, + P.withRounding, + + -- * 2D primitive shapes + P.square, + P.rect, + P.circle, + P.polygon, + + -- * 2D operations + P.rotate, + P.transform, + P.pack2, + + -- * 3D primitive shapes + P.cube, + P.rect3, + P.sphere, + P.cylinder, + P.cylinder2, + + -- * 3D operations + P.rotate3, + P.rotate3V, + P.pack3, + P.transform3, + + -- * Extrusions into 3D + P.extrude, + P.extrudeM, + P.extrudeOnEdgeOf, + P.rotateExtrude, + + -- * OpenScad support + E.runOpenscad, + + -- * 2D exporters writeSVG, + writePNG2, writeDXF2, + writeSCAD2, + writeGCodeHacklabLaser, + + -- * 3D exporters writeSTL, writeBinSTL, writeOBJ, writeTHREEJS, - writeSCAD2, writeSCAD3, - writeGCodeHacklabLaser, - writePNG2, - writePNG3 + writePNG3, + + -- * Linear re-exports + L.V2(V2), + L.V3(V3), + L.Quaternion(Quaternion) + ) where import Prelude(FilePath, IO) -- The primitive objects, and functions for manipulating them. -- MAYBEFIXME: impliment slice operation, regularPolygon and zsurface primitives. -import Graphics.Implicit.Primitives as P (translate, scale, complement, union, intersect, difference, unionR, intersectR, differenceR, shell, extrudeR, extrudeRM, extrudeRotateR, extrudeOnEdgeOf, sphere, rect3R, circle, cylinder, cylinder2, rectR, polygonR, rotateExtrude, rotate3, rotate3V, pack3, rotate, pack2, implicit) +import Graphics.Implicit.Primitives as P (withRounding, rect, rect3, translate, scale, mirror, complement, union, intersect, difference, unionR, intersectR, differenceR, shell, extrude, extrudeM, extrudeOnEdgeOf, sphere, cube, circle, cylinder, cylinder2, square, polygon, rotateExtrude, rotate3, rotate3V, pack3, transform3, rotate, transform, pack2, implicit, fullSpace, emptySpace, outset, Object) -- The Extended OpenScad interpreter. import Graphics.Implicit.ExtOpenScad as E (runOpenscad) -- typesclasses and types defining the world, or part of the world. -import Graphics.Implicit.Definitions as W (ℝ, SymbolicObj2, SymbolicObj3) +import Graphics.Implicit.Definitions as W (ℝ, ℝ2, ℝ3, SymbolicObj2, SymbolicObj3, ExtrudeMScale(C1, C2, Fn)) -- Functions for writing files based on the result of operations on primitives. import qualified Graphics.Implicit.Export as Export (writeSVG, writeDXF2, writeSTL, writeBinSTL, writeOBJ, writeSCAD2, writeSCAD3, writeTHREEJS, writeGCodeHacklabLaser, writePNG) +import Linear as L (V2(V2), V3(V3), Quaternion(Quaternion)) + -- We want Export to be a bit less polymorphic -- (so that types will collapse nicely) -writeSVG :: ℝ -> FilePath -> SymbolicObj2 -> IO () +writeSVG + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-2)/ more time. + -> FilePath + -> SymbolicObj2 + -> IO () writeSVG = Export.writeSVG -writeDXF2 :: ℝ -> FilePath -> SymbolicObj2 -> IO () +writeDXF2 + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-2)/ more time. + -> FilePath + -> SymbolicObj2 + -> IO () writeDXF2 = Export.writeDXF2 -writeSTL :: ℝ -> FilePath -> SymbolicObj3 -> IO () +writeSTL + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writeSTL = Export.writeSTL -writeBinSTL :: ℝ -> FilePath -> SymbolicObj3 -> IO () +writeBinSTL + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writeBinSTL = Export.writeBinSTL -writeOBJ :: ℝ -> FilePath -> SymbolicObj3 -> IO () +writeOBJ + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writeOBJ = Export.writeOBJ -writeSCAD2 :: ℝ -> FilePath -> SymbolicObj2 -> IO () +writeSCAD2 + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-2)/ more time. + -> FilePath + -> SymbolicObj2 + -> IO () writeSCAD2 = Export.writeSCAD2 -writeSCAD3 :: ℝ -> FilePath -> SymbolicObj3 -> IO () +writeSCAD3 + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writeSCAD3 = Export.writeSCAD3 -writeTHREEJS :: ℝ -> FilePath -> SymbolicObj3 -> IO () +writeTHREEJS + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writeTHREEJS = Export.writeTHREEJS -writeGCodeHacklabLaser :: ℝ -> FilePath -> SymbolicObj2 -> IO () +writeGCodeHacklabLaser + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-2)/ more time. + -> FilePath + -> SymbolicObj2 + -> IO () writeGCodeHacklabLaser = Export.writeGCodeHacklabLaser -writePNG2 :: ℝ -> FilePath -> SymbolicObj2 -> IO () +writePNG2 + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-2)/ more time. + -> FilePath + -> SymbolicObj2 + -> IO () writePNG2 = Export.writePNG -writePNG3 :: ℝ -> FilePath -> SymbolicObj3 -> IO () +-- | Export a PNG of the 'SymbolicObj3'. The projection is with a front-facing +-- camera, so the coordinate system is @(left to right, front to back, down to +-- up)@. +writePNG3 + :: ℝ -- ^ Rendering resolution, in millimeters. Smaller values produce + -- exports more faithful to the implicit model, at the expense of + -- taking /O(n^-3)/ more time. + -> FilePath + -> SymbolicObj3 + -> IO () writePNG3 = Export.writePNG diff --git a/Graphics/Implicit/Definitions.hs b/Graphics/Implicit/Definitions.hs --- a/Graphics/Implicit/Definitions.hs +++ b/Graphics/Implicit/Definitions.hs @@ -1,13 +1,15 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, 2017, 2018, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) -- Released under the GNU AGPLV3+, see LICENSE --- This module deliberately declares orphan instances of Show. -{-# OPTIONS_GHC -fno-warn-orphans #-} - -- Required. FIXME: why? {-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE UndecidableInstances #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE DeriveGeneric #-} -- Definitions of the types used when modeling, and a few operators. module Graphics.Implicit.Definitions ( @@ -15,19 +17,17 @@ module N, ℝ, ℝ2, - both, ℝ3, - allthree, minℝ, - (⋅), + ComponentWiseMultable, (⋯*), (⋯/), - Polyline(Polyline), + Polyline(Polyline, getSegments), Polytri(Polytri), Triangle(Triangle), NormedTriangle(NormedTriangle), - TriangleMesh(TriangleMesh), - NormedTriangleMesh(NormedTriangleMesh), + TriangleMesh(TriangleMesh, getTriangles), + NormedTriangleMesh(NormedTriangleMesh, getNormedTriangles), Obj2, Obj3, Box2, @@ -36,51 +36,42 @@ Boxed3, BoxedObj2, BoxedObj3, + SharedObj(..), + V2(..), + V3(..), SymbolicObj2( - RectR, + Square, Circle, - PolygonR, - Complement2, - UnionR2, - DifferenceR2, - IntersectR2, - Translate2, - Scale2, + Polygon, Rotate2, - Shell2, - Outset2, - EmbedBoxedObj2), + Transform2, + Shared2), SymbolicObj3( - Rect3R, + Cube, Sphere, Cylinder, - Complement3, - UnionR3, - IntersectR3, - DifferenceR3, - Translate3, - Scale3, Rotate3, - Rotate3V, - Shell3, - Outset3, - EmbedBoxedObj3, - ExtrudeR, - ExtrudeRotateR, - ExtrudeRM, + Transform3, + Extrude, + ExtrudeM, ExtrudeOnEdgeOf, - RotateExtrude), + RotateExtrude, + Shared3), + ExtrudeMScale(C1, C2, Fn), + ObjectContext(..), + defaultObjectContext, fromℕtoℝ, fromFastℕtoℝ, - fromℝtoFloat + fromℝtoFloat, + toScaleFn, + isScaleID, + quaternionToEuler, ) where -import Prelude (Show, Double, Either, show, (*), (/), fromIntegral, Float, realToFrac) - -import Data.Maybe (Maybe) +import GHC.Generics (Generic) -import Data.VectorSpace (Scalar, InnerSpace, (<.>)) +import Prelude (Ord, Eq, atan2, asin, pi, (>=), signum, abs, (+), (-), RealFloat, (==), ($), flip, Semigroup((<>)), Monoid (mempty), Double, Either(Left, Right), Bool(True, False), (*), (/), fromIntegral, Float, realToFrac) import Graphics.Implicit.FastIntUtil as F (Fastℕ(Fastℕ), fromFastℕ, toFastℕ) @@ -88,12 +79,29 @@ import Control.DeepSeq (NFData, rnf) --- Let's make things a bit nicer. --- Following the math notation ℝ, ℝ², ℝ³... +import Linear (M33, M44, V2(V2), V3(V3)) + +import Linear.Quaternion (Quaternion(Quaternion)) + +import Control.Applicative (Applicative(liftA2)) + +import Text.Show.Combinators + ( Show(showsPrec, show), (@|), showApp, showCon, PrecShowS) + +-- | A type synonym for 'Double'. When used in the context of positions or +-- sizes, measured in units of millimeters. When used as in the context of +-- a rotation, measured in radians. type ℝ = Double -type ℝ2 = (ℝ,ℝ) -type ℝ3 = (ℝ,ℝ,ℝ) +-- | A pair of two 'Double's. When used as an area or position vector, measured +-- in millimeters squared. +type ℝ2 = V2 ℝ + +-- | A triple of 'Double's. When used as a volume or position vector, measured +-- in millimeters cubed. When used as a rotation, interpreted as Euler angles +-- measured in radians. +type ℝ3 = V3 ℝ + -- | A give up point for dividing ℝs, and for the maximum difference between abs(n) and abs(-n). minℝ :: ℝ -- for Doubles. @@ -101,24 +109,9 @@ -- for Floats. --minℝ = 0.00000011920928955078125 * 2 --- | apply a function to both items in the provided tuple. -both :: (t -> b) -> (t, t) -> (b, b) -both f (x,y) = (f x, f y) -{-# INLINABLE both #-} - --- | apply a function to all three items in the provided tuple. -allthree :: (t -> b) -> (t, t, t) -> (b, b, b) -allthree f (x,y,z) = (f x, f y, f z) -{-# INLINABLE allthree #-} - --- | TODO: Find a better place for this -(⋅) :: InnerSpace a => a -> a -> Scalar a -(⋅) = (<.>) -{-# INLINABLE (⋅) #-} - -- Wrap the functions that convert datatypes. --- | Convert from our Integral to our Rational. +-- | Convert from our Integral to our Rational. fromℕtoℝ :: ℕ -> ℝ fromℕtoℝ = fromIntegral {-# INLINABLE fromℕtoℝ #-} @@ -133,40 +126,26 @@ fromℝtoFloat = realToFrac {-# INLINABLE fromℝtoFloat #-} --- | add aditional instances to Show, for when we dump the intermediate form of objects. --- FIXME: store functions in a dumpable form! --- These instances cover functions -instance Show (ℝ -> ℝ) where - show _ = "" - -instance Show (ℝ -> ℝ2) where - show _ = " ℝ2>" - -instance Show (ℝ2 -> ℝ) where - show _ = " ℝ>" - -instance Show (ℝ3 -> ℝ) where - show _ = " ℝ>" - -- TODO: Find a better way to do this? -- | Add multiply and divide operators for two ℝ2s or ℝ3s. class ComponentWiseMultable a where (⋯*) :: a -> a -> a (⋯/) :: a -> a -> a instance ComponentWiseMultable ℝ2 where - (x,y) ⋯* (x',y') = (x*x', y*y') + (⋯*) = liftA2 (*) {-# INLINABLE (⋯*) #-} - (x,y) ⋯/ (x',y') = (x/x', y/y') + (⋯/) = liftA2 (/) {-# INLINABLE (⋯/) #-} instance ComponentWiseMultable ℝ3 where - (x,y,z) ⋯* (x',y',z') = (x*x', y*y', z*z') + (⋯*) = liftA2 (*) {-# INLINABLE (⋯*) #-} - (x,y,z) ⋯/ (x',y',z') = (x/x', y/y', z/z') + (⋯/) = liftA2 (/) {-# INLINABLE (⋯/) #-} -- | A chain of line segments, as in SVG or DXF. -- eg. [(0,0), (0.5,1), (1,0)] ---> /\ -newtype Polyline = Polyline [ℝ2] +-- FIXME: May not be empty. expose to type system. +newtype Polyline = Polyline { getSegments :: [ℝ2] } -- | A triangle in 2D space (a,b,c). newtype Polytri = Polytri (ℝ2, ℝ2, ℝ2) @@ -179,11 +158,14 @@ newtype NormedTriangle = NormedTriangle ((ℝ3, ℝ3), (ℝ3, ℝ3), (ℝ3, ℝ3)) -- | A triangle mesh is a bunch of triangles, attempting to be a surface. -newtype TriangleMesh = TriangleMesh [Triangle] +newtype TriangleMesh = TriangleMesh { getTriangles :: [Triangle] } -- | A normed triangle mesh is a mesh of normed triangles. -newtype NormedTriangleMesh = NormedTriangleMesh [NormedTriangle] +newtype NormedTriangleMesh = NormedTriangleMesh { getNormedTriangles :: [NormedTriangle] } +instance NFData NormedTriangle where + rnf (NormedTriangle ((a, na), (b, nb), (c, nc))) = rnf ((a, na), (b, nb), (c, nc)) + instance NFData Triangle where rnf (Triangle (a,b,c)) = rnf (a,b,c) @@ -224,68 +206,205 @@ --instance Show BoxedObj3 where -- show _ = "" +-- | Means of constructing symbolic objects that are common between the 2D and +-- 3D case. This type is parameterized on @obj@ and @vec@ so that +-- 'SymbolicObj2' and 'SymbolicObj3' can instantiate it for their own purposes. +data SharedObj obj f a + = Empty -- ^ The empty object + | Full -- ^ The entirely full object + | Complement obj + | UnionR ℝ [obj] + | DifferenceR ℝ obj [obj] + | IntersectR ℝ [obj] + | Translate (f a) obj + | Scale (f a) obj + | Mirror (f a) obj -- ^ Mirror across the line whose normal is defined by the vector + | Outset ℝ obj + | Shell ℝ obj + | EmbedBoxedObj ((f a) -> a, ((f a), (f a))) + | WithRounding ℝ obj + deriving (Generic) + +instance (Show obj, Show (f a)) => Show (SharedObj obj f a) where + showsPrec = flip $ \case + Empty -> showCon "emptySpace" + Full -> showCon "fullSpace" + Complement obj -> showCon "complement" @| obj + UnionR 0 l_obj -> showCon "union" @| l_obj + UnionR r l_obj -> showCon "unionR" @| r @| l_obj + DifferenceR 0 obj l_obj -> showCon "difference" @| obj @| l_obj + DifferenceR r obj l_obj -> showCon "differenceR" @| r @| obj @| l_obj + IntersectR 0 l_obj -> showCon "intersect" @| l_obj + IntersectR r l_obj -> showCon "intersectR" @| r @| l_obj + Translate vec obj -> showCon "translate" @| vec @| obj + Scale vec obj -> showCon "scale" @| vec @| obj + Mirror vec obj -> showCon "mirror" @| vec @| obj + Outset r obj -> showCon "outset" @| r @| obj + Shell r obj -> showCon "shell" @| r @| obj + EmbedBoxedObj _ -> showCon "implicit" @| Blackhole + WithRounding r obj -> showCon "withRounding" @| r @| obj + +------------------------------------------------------------------------------ +-- | A type whose show instance is a hole @_@. Used for giving 'Show' instances +-- to data types which contain functions or other unshowable things. +data Blackhole = Blackhole + +instance Show Blackhole where + show _ = "_" + +newtype ObjectContext = ObjectContext + { objectRounding :: ℝ + } deriving (Eq, Ord, Show) + +defaultObjectContext :: ObjectContext +defaultObjectContext = ObjectContext + { objectRounding = 0 + } + -- | A symbolic 2D object format. -- We want to have symbolic objects so that we can -- accelerate rendering & give ideal meshes for simple -- cases. data SymbolicObj2 = -- Primitives - RectR ℝ ℝ2 ℝ2 -- rounding, start, stop. - | Circle ℝ -- radius. - | PolygonR ℝ [ℝ2] -- rounding, points. - -- (Rounded) CSG - | Complement2 SymbolicObj2 - | UnionR2 ℝ [SymbolicObj2] - | DifferenceR2 ℝ [SymbolicObj2] - | IntersectR2 ℝ [SymbolicObj2] + Square ℝ2 -- size. + | Circle ℝ -- radius. + | Polygon [ℝ2] -- points. -- Simple transforms - | Translate2 ℝ2 SymbolicObj2 - | Scale2 ℝ2 SymbolicObj2 | Rotate2 ℝ SymbolicObj2 - -- Boundary mods - | Outset2 ℝ SymbolicObj2 - | Shell2 ℝ SymbolicObj2 - -- Misc - | EmbedBoxedObj2 BoxedObj2 - deriving Show + | Transform2 (M33 ℝ) SymbolicObj2 + -- Lifting common objects + | Shared2 (SharedObj SymbolicObj2 V2 ℝ) + deriving (Generic) +instance Show SymbolicObj2 where + showsPrec = flip $ \case + -- NB: The False here is the centering argument, which has already been + -- transformed into a translate. The 'Square' constructor itself is never + -- centered. + Square sz -> showCon "square" @| False @| sz + Circle r -> showCon "circle" @| r + Polygon ps -> showCon "polygon" @| ps + Rotate2 v obj -> showCon "rotate" @| v @| obj + Transform2 m obj -> showCon "transform2" @| m @| obj + Shared2 obj -> flip showsPrec obj + +-- | Semigroup under 'Graphic.Implicit.Primitives.union'. +instance Semigroup SymbolicObj2 where + a <> b = Shared2 (UnionR 0 [a, b]) + +-- | Monoid under 'Graphic.Implicit.Primitives.union'. +instance Monoid SymbolicObj2 where + mempty = Shared2 Empty + -- | A symbolic 3D format! data SymbolicObj3 = -- Primitives - Rect3R ℝ ℝ3 ℝ3 -- rounding, start, stop. + Cube ℝ3 -- rounding, size. | Sphere ℝ -- radius - | Cylinder ℝ ℝ ℝ -- - -- (Rounded) CSG - | Complement3 SymbolicObj3 - | UnionR3 ℝ [SymbolicObj3] - | DifferenceR3 ℝ [SymbolicObj3] - | IntersectR3 ℝ [SymbolicObj3] + | Cylinder ℝ ℝ ℝ -- -- Simple transforms - | Translate3 ℝ3 SymbolicObj3 - | Scale3 ℝ3 SymbolicObj3 - | Rotate3 ℝ3 SymbolicObj3 - | Rotate3V ℝ ℝ3 SymbolicObj3 - -- Boundary mods - | Outset3 ℝ SymbolicObj3 - | Shell3 ℝ SymbolicObj3 - -- Misc - | EmbedBoxedObj3 BoxedObj3 + | Rotate3 (Quaternion ℝ) SymbolicObj3 + | Transform3 (M44 ℝ) SymbolicObj3 -- 2D based - | ExtrudeR ℝ SymbolicObj2 ℝ - | ExtrudeRotateR ℝ ℝ SymbolicObj2 ℝ - | ExtrudeRM - ℝ -- rounding radius + | Extrude SymbolicObj2 ℝ + | ExtrudeM (Either ℝ (ℝ -> ℝ)) -- twist - (Either ℝ (ℝ -> ℝ)) -- scale + ExtrudeMScale -- scale (Either ℝ2 (ℝ -> ℝ2)) -- translate SymbolicObj2 -- object to extrude (Either ℝ (ℝ2 -> ℝ)) -- height to extrude to | RotateExtrude ℝ -- Angle to sweep to - (Maybe ℝ) -- Loop or path (rounded corner) (Either ℝ2 (ℝ -> ℝ2)) -- translate (Either ℝ (ℝ -> ℝ )) -- rotate SymbolicObj2 -- object to extrude | ExtrudeOnEdgeOf SymbolicObj2 SymbolicObj2 - deriving Show + | Shared3 (SharedObj SymbolicObj3 V3 ℝ) + deriving (Generic) + +instance Show SymbolicObj3 where + showsPrec = flip $ \case + -- NB: The False here is the centering argument, which has already been + -- transformed into a translate. The 'Cube' constructor itself is never + -- centered. + Cube sz -> showCon "cube" @| False @| sz + Sphere d -> showCon "sphere" @| d + -- NB: The arguments to 'Cylinder' are backwards compared to 'cylinder' and + -- 'cylinder2'. + Cylinder h r1 r2 | r1 == r2 -> + showCon "cylinder" @| r1 @| h + Cylinder h r1 r2 -> + showCon "cylinder2" @| r1 @| r2 @| h + Rotate3 qd s -> showCon "rotate3" @| quaternionToEuler qd @| s + Transform3 m s -> showCon "transform3" @| show m @| s + Extrude s d2 -> showCon "extrude" @| s @| d2 + ExtrudeM edfdd e ep_ddfdp_dd s edfp_ddd -> + showCon "extrudeM" @|| edfdd @| e @|| ep_ddfdp_dd @| s @|| edfp_ddd + RotateExtrude d ep_ddfdp_dd edfdd s -> + showCon "rotateExtrude" @| d @|| ep_ddfdp_dd @|| edfdd @| s + ExtrudeOnEdgeOf s s1 -> + showCon "extrudeOnEdgeOf" @| s @| s1 + Shared3 s -> flip showsPrec s + +infixl 2 @|| +------------------------------------------------------------------------------ +-- | ImplicitCAD uses the pattern @Either a (b -> c)@ for many of its +-- higher-order arguments. The left case is for constant values, but the right +-- side is for things that should vary. Since we can't show functions, ths +-- combinator works like '(@|)' except that it shows the left case and uses +-- a hole for the right. +(@||) :: Show a => PrecShowS -> Either a (b -> c) -> PrecShowS +showF @|| x = showApp showF $ case x of + Left a -> showCon "Left" @| a + Right _ -> showCon "Right" @| Blackhole + +-- | Semigroup under 'Graphic.Implicit.Primitives.union'. +instance Semigroup SymbolicObj3 where + a <> b = Shared3 (UnionR 0 [a, b]) + +-- | Monoid under 'Graphic.Implicit.Primitives.union'. +instance Monoid SymbolicObj3 where + mempty = Shared3 Empty + +data ExtrudeMScale = + C1 ℝ -- constant ℝ + | C2 ℝ2 -- constant ℝ2 + | Fn (ℝ -> Either ℝ ℝ2) -- function mapping height to either ℝ or ℝ2 + deriving (Generic) + +instance Show ExtrudeMScale where + showsPrec = flip $ \case + C1 r -> showCon "C1" @| r + C2 r2 -> showCon "C2" @| r2 + Fn _ -> showCon "Fn" @| Blackhole + +toScaleFn :: ExtrudeMScale -> ℝ -> ℝ2 +toScaleFn (C1 s) _ = V2 s s +toScaleFn (C2 s) _ = s +toScaleFn (Fn f) z = case f z of + Left s -> V2 s s + Right s -> s + +isScaleID :: ExtrudeMScale -> Bool +isScaleID (C1 1) = True +isScaleID (C2 (V2 1 1)) = True +isScaleID _ = False + +-- | Convert a 'Quaternion' to its constituent euler angles. +-- +-- From https://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles#Source_code_2 +quaternionToEuler :: RealFloat a => Quaternion a -> (a, a, a) +quaternionToEuler (Quaternion w (V3 x y z))= + let sinr_cosp = 2 * (w * x + y * z) + cosr_cosp = 1 - 2 * (x * x + y * y) + sinp = 2 * (w * y - z * x); + siny_cosp = 2 * (w * z + x * y); + cosy_cosp = 1 - 2 * (y * y + z * z); + pitch = if abs sinp >= 1 + then signum sinp * pi / 2 + else asin sinp + roll = atan2 sinr_cosp cosr_cosp + yaw = atan2 siny_cosp cosy_cosp + in (roll, pitch, yaw) diff --git a/Graphics/Implicit/Export.hs b/Graphics/Implicit/Export.hs --- a/Graphics/Implicit/Export.hs +++ b/Graphics/Implicit/Export.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) -- Copyright (C) 2015 2016, Mike MacHenry (mike.machenry@gmail.com) @@ -5,10 +6,29 @@ -- Allow us to use real types in the type constraints. {-# LANGUAGE FlexibleContexts #-} +-- Allows \case in export2|3 +{-# LANGUAGE LambdaCase #-} -module Graphics.Implicit.Export (writeObject, formatObject, writeSVG, writeSTL, writeBinSTL, writeOBJ, writeTHREEJS, writeGCodeHacklabLaser, writeDXF2, writeSCAD2, writeSCAD3, writePNG) where +module Graphics.Implicit.Export ( + export2, + export3, + OutputFormat(SVG, SCAD, PNG, GCode, ASCIISTL, STL, THREEJS, OBJ, DXF), + writeObject, + formatObject, + writeSVG, + writeSTL, + writeBinSTL, + writeOBJ, + writeTHREEJS, + writeGCodeHacklabLaser, + writeDXF2, + writeSCAD2, + writeSCAD3, + writePNG, + ) +where -import Prelude (FilePath, IO, (.), ($)) +import Prelude (FilePath, IO, (.), ($), (<>), show, error) -- The types of our objects (before rendering), and the type of the resolution to render with. import Graphics.Implicit.Definitions (SymbolicObj2, SymbolicObj3, ℝ, Polyline, TriangleMesh, NormedTriangleMesh) @@ -28,6 +48,8 @@ import qualified Graphics.Implicit.Export.SymbolicFormats as SymbolicFormats (scad2, scad3) import qualified Codec.Picture as ImageFormatCodecs (DynamicImage, savePngImage) +import Graphics.Implicit.Export.OutputFormat (OutputFormat(SVG, SCAD, PNG, GCode, ASCIISTL, STL, THREEJS, OBJ, DXF)) + -- | Write an object to a file with LazyText IO, using the given format writer function. writeObject :: (DiscreteAproxable obj aprox) => ℝ -- ^ Resolution @@ -55,7 +77,7 @@ => ℝ -- ^ Resolution -> (aprox -> Text) -- ^ File Format Writer (Function that formats) -> obj -- ^ Object to render - -> Text -- ^ Resulting lazy ByteString + -> Text -- ^ Result formatObject res formatWriter = formatWriter . discreteAprox res writeSVG :: DiscreteAproxable obj [Polyline] => ℝ -> FilePath -> obj -> IO () @@ -87,3 +109,24 @@ writePNG :: DiscreteAproxable obj ImageFormatCodecs.DynamicImage => ℝ -> FilePath -> obj -> IO () writePNG res = writeObject' res ImageFormatCodecs.savePngImage + +-- | Output a file containing a 3D object. +export3 :: OutputFormat -> ℝ -> FilePath -> SymbolicObj3 -> IO () +export3 = \case + ASCIISTL -> writeSTL + STL -> writeBinSTL + SCAD -> writeSCAD3 + OBJ -> writeOBJ + PNG -> writePNG + THREEJS -> writeTHREEJS + fmt -> error $ "Unrecognized 3D format: " <> show fmt + +-- | Output a file containing a 2D object. +export2 :: OutputFormat -> ℝ -> FilePath -> SymbolicObj2 -> IO () +export2 = \case + SVG -> writeSVG + DXF -> writeDXF2 + SCAD -> writeSCAD2 + PNG -> writePNG + GCode -> writeGCodeHacklabLaser + fmt -> error $ "Unrecognized 2D format: " <> show fmt diff --git a/Graphics/Implicit/Export/DiscreteAproxable.hs b/Graphics/Implicit/Export/DiscreteAproxable.hs --- a/Graphics/Implicit/Export/DiscreteAproxable.hs +++ b/Graphics/Implicit/Export/DiscreteAproxable.hs @@ -1,5 +1,6 @@ --- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +{- ORMOLU_DISABLE -} -- Copyright 2016, Julia Longtin (julial@turinglace.com) +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Released under the GNU AGPLV3+, see LICENSE -- Allow our DiscreteAproxable class to handle multiple parameters. @@ -11,12 +12,12 @@ -- | A module for retrieving approximate represententations of objects. module Graphics.Implicit.Export.DiscreteAproxable (DiscreteAproxable, discreteAprox) where -import Prelude((-), (/), ($), (<), fmap, round, (+), maximum, abs, (*), fromIntegral, max, realToFrac, Int) +import Prelude(pure, (-), (/), ($), (<), round, (+), maximum, abs, (*), fromIntegral, max, realToFrac, Int) -- Definitions for our number system, objects, and the things we can use to approximately represent objects. -import Graphics.Implicit.Definitions (ℝ, ℝ2, SymbolicObj2, SymbolicObj3, Polyline, Triangle, TriangleMesh(TriangleMesh), NormedTriangleMesh(NormedTriangleMesh)) +import Graphics.Implicit.Definitions (defaultObjectContext, ℝ, ℝ2, SymbolicObj2, SymbolicObj3, Polyline, TriangleMesh(getTriangles), NormedTriangleMesh(NormedTriangleMesh)) -import Graphics.Implicit.ObjectUtil (getImplicit2, getImplicit3, getBox2, getBox3) +import Graphics.Implicit.ObjectUtil (getBox2, getBox3) import Graphics.Implicit.Export.SymbolicObj3 (symbolicGetMesh) @@ -29,15 +30,14 @@ import Codec.Picture (DynamicImage(ImageRGBA8), PixelRGBA8(PixelRGBA8), generateImage) -import Data.VectorSpace ((^+^), (^/), (*^), (^-^)) +import Control.Parallel.Strategies (using, rdeepseq, parBuffer) -import Data.AffineSpace ((.-^), (.+^)) +import Linear ( V3(V3), V2(V2), (*^), (^/) ) +import Linear.Affine ( Affine((.+^), (.-^)) ) +import Graphics.Implicit.Primitives (getImplicit) default (ℝ) -unmesh :: TriangleMesh -> [Triangle] -unmesh (TriangleMesh m) = m - -- | There is a discrete way to aproximate this object. -- eg. Aproximating a 3D object with a triangle mesh -- would be DiscreteApproxable Obj3 TriangleMesh @@ -47,27 +47,31 @@ instance DiscreteAproxable SymbolicObj3 TriangleMesh where discreteAprox = symbolicGetMesh +-- FIXME: number of CPUs hardcoded here. instance DiscreteAproxable SymbolicObj3 NormedTriangleMesh where - discreteAprox res obj = NormedTriangleMesh $ fmap (normTriangle res (getImplicit3 obj)) $ unmesh $ symbolicGetMesh res obj + discreteAprox res obj = NormedTriangleMesh + ([ normTriangle res (getImplicit obj) rawMesh + | rawMesh <- getTriangles $ symbolicGetMesh res obj + ] `using` parBuffer 32 rdeepseq) -- FIXME: way too many magic numbers. -- FIXME: adjustable resolution! instance DiscreteAproxable SymbolicObj3 DynamicImage where discreteAprox _ symbObj = ImageRGBA8 $ generateImage pixelRenderer (round w) (round h) where - -- | Size of the image to produce. - (w,h) = (150, 150) :: ℝ2 - obj = getImplicit3 symbObj - box@((x1,y1,z1), (_,y2,z2)) = getBox3 symbObj + -- Size of the image to produce. + (V2 w h) = V2 150 150 :: ℝ2 + obj = getImplicit symbObj + box@(V3 x1 y1 z1, V3 _ y2 z2) = getBox3 symbObj av :: ℝ -> ℝ -> ℝ av a b = (a+b)/2 avY = av y1 y2 avZ = av z1 z2 deviation = maximum [abs $ y1 - avY, abs $ y2 - avY, abs $ z1 - avZ, abs $ z2 - avZ] - camera = Camera (x1-deviation*2.2, avY, avZ) (0, -1, 0) (0,0, -1) 1.0 - lights = [Light (x1-deviation*1.5, y1 - 0.4*(y2-y1), avZ) (0.03*deviation) ] + camera = Camera (V3 (x1-deviation*2.2) avY avZ) (V3 0 (-1) 0) (V3 0 0 (-1)) 1.0 + lights = [Light (V3 (x1-deviation*1.5) (y1 - 0.4*(y2-y1)) avZ) (0.03*deviation) ] scene = Scene obj (Color 200 200 230 255) lights (Color 255 255 255 0) - -- | passed to generateImage, it's external, and determines this type. + -- passed to generateImage, it's external, and determines this type. pixelRenderer :: Int -> Int -> PixelRGBA8 pixelRenderer a b = renderScreen (fromIntegral a/w - 0.5) (fromIntegral b/h - 0.5) @@ -76,16 +80,16 @@ colorToPixelRGBA8 $ average [ traceRay - (cameraRay camera ((a,b) ^+^ ( 0.25/w, 0.25/h))) + (cameraRay camera (V2 a b + V2 ( 0.25/w) (0.25/h))) 2 box scene, traceRay - (cameraRay camera ((a,b) ^+^ (-0.25/w, 0.25/h))) + (cameraRay camera (V2 a b + V2 (-0.25/w) (0.25/h))) 0.5 box scene, traceRay - (cameraRay camera ((a,b) ^+^ (0.25/w, -0.25/h))) + (cameraRay camera (V2 a b + V2 (0.25/w) (-0.25/h))) 0.5 box scene, traceRay - (cameraRay camera ((a,b) ^+^ (-0.25/w,-0.25/h))) + (cameraRay camera (V2 a b + V2 (-0.25/w) (-0.25/h))) 0.5 box scene ] where @@ -93,26 +97,26 @@ colorToPixelRGBA8 (Color rr gg bb aa) = PixelRGBA8 rr gg bb aa instance DiscreteAproxable SymbolicObj2 [Polyline] where - discreteAprox = symbolicGetContour + discreteAprox res = symbolicGetContour res defaultObjectContext -- FIXME: way too many magic numbers. -- FIXME: adjustable resolution? instance DiscreteAproxable SymbolicObj2 DynamicImage where discreteAprox _ symbObj = ImageRGBA8 $ generateImage pixelRenderer (round w) (round h) where - -- | Size of the image to produce. - (w,h) = (150, 150) :: ℝ2 - obj = getImplicit2 symbObj - (p1@(x1,_), p2@(_,y2)) = getBox2 symbObj - (dx, dy) = p2 ^-^ p1 + -- Size of the image to produce. + V2 w h = pure 150 :: ℝ2 + obj = getImplicit symbObj + (p1@(V2 x1 _), p2@(V2 _ y2)) = getBox2 symbObj + V2 dx dy = p2 - p1 dxy = max dx dy - -- | passed to generateImage, it's external, and determines this type. + -- passed to generateImage, it's external, and determines this type. pixelRenderer :: Int -> Int -> PixelRGBA8 pixelRenderer mya myb = mycolor where - xy a b = ((x1,y2) .-^ (dxy-dx, dy-dxy)^/2) .+^ dxy*^(a/w, -b/h) + xy a b = (V2 x1 y2 .-^ V2 (dxy-dx) (dy-dxy) ^/2) .+^ dxy *^ V2 (a/w) (-b/h) s = 0.25 :: ℝ - (a', b') = (realToFrac mya, realToFrac myb) :: ℝ2 + V2 a' b' = V2 (realToFrac mya) (realToFrac myb) :: ℝ2 mycolor = colorToPixelRGBA8 $ average [objColor $ xy a' b', objColor $ xy a' b', objColor $ xy (a'+s) (b'+s), objColor $ xy (a'-s) (b'-s), diff --git a/Graphics/Implicit/Export/MarchingSquaresFill.hs b/Graphics/Implicit/Export/MarchingSquaresFill.hs deleted file mode 100644 --- a/Graphics/Implicit/Export/MarchingSquaresFill.hs +++ /dev/null @@ -1,125 +0,0 @@ --- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) --- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) --- Released under the GNU AGPLV3+, see LICENSE - --- exports getContourMesh, which returns an array of triangles describing the interior of a 2D object. -module Graphics.Implicit.Export.MarchingSquaresFill (getContourMesh) where - -import Prelude(Bool(True, False), ($), (-), (+), (/), (*), (<=), ceiling, max, div, floor) - -import Graphics.Implicit.Definitions (ℕ, ℝ, ℝ2, both, Polytri(Polytri), Obj2, (⋯/), (⋯*), fromℕtoℝ, fromℕ) - -import Data.VectorSpace ((^-^),(^+^)) - -import Data.List(genericIndex) - -import Data.Foldable (fold) - --- Each step on the Y axis is done in parallel using Control.Parallel.Strategies -import Control.Parallel.Strategies (using, rdeepseq, parBuffer, parList) - --- | Get an array of triangles describing the interior of a 2D object. -getContourMesh :: ℝ2 -> ℝ2 -> ℝ2 -> Obj2 -> [Polytri] -getContourMesh p1 p2 res obj = - let - -- | How much space are we rendering? - d = p2 ^-^ p1 - - -- | How many steps will we take on each axis? - nx :: ℕ - ny :: ℕ - n@(nx,ny) = ceiling `both` (d ⋯/ res) - - -- | A helper for calculating a position inside of the space. - gridPos :: (ℕ,ℕ) -> (ℕ,ℕ) -> ℝ2 - gridPos n' m = p1 ^+^ d ⋯* ((fromℕtoℝ `both` m) ⋯/ (fromℕtoℝ `both` n')) - - -- | Alternate Grid mapping funcs - toGrid :: ℝ2 -> (ℕ,ℕ) - toGrid f = floor `both` ((fromℕtoℝ `both` n) ⋯* (f ^-^ p1) ⋯/ d) - - -- | Evaluate obj on a grid, in parallel. - valsOnGrid :: [[ℝ]] - valsOnGrid = [[ obj $ gridPos n (mx, my) | mx <- [0..nx-1] ] | my <- [0..ny-1] ] `using` parList rdeepseq - - -- | A faster version of the obj. Sort of like memoization, but done in advance, in parallel. - preEvaledObj p = valsOnGrid `genericIndex` my `genericIndex` mx where (mx,my) = toGrid p - - -- | Compute the triangles. - trisOnGrid :: [[[Polytri]]] - trisOnGrid = [[getSquareTriangles (gridPos n (mx,my)) (gridPos n (mx+1,my+1)) preEvaledObj - | mx <- [0..nx-1] ] | my <- [0..ny-1] ] `using` parBuffer (max 1 $ fromℕ $ div ny 32) rdeepseq - -- FIXME: merge adjacent triangles. - triangles = fold $ fold trisOnGrid - in - triangles - --- | This function returns triangles covering a portion of the interior of an object. --- The triangles are defined in a clockwise fashion, beginning on the point closest to origin, or failing that, the closest point to x1 on the x axis. --- It is based on the linearly-interpolated marching squares algorithm. -getSquareTriangles :: ℝ2 -> ℝ2 -> Obj2 -> [Polytri] -getSquareTriangles (x1, y1) (x2, y2) obj = - let - (x,y) = (x1, y1) - - -- Let's evaluate obj at four corners... - x1y1 = obj (x1, y1) - x2y1 = obj (x2, y1) - x1y2 = obj (x1, y2) - x2y2 = obj (x2, y2) - - -- And the center point.. - c = obj ((x1+x2)/2, (y1+y2)/2) - - -- Assumptions: - -- FIXME: interpolations for C? - -- Evaluating obj is expensive, only evaluate C when it being positive will increase/decrease the surface area by 50% or more. - - dx = x2 - x1 - dy = y2 - y1 - - -- linearly interpolated intersections on the relevant axis: - -- (x1,y1) inty1 (x2,y1) - -- *_________*_________* - -- | | - -- | | - -- | | - --intx1* *c *intx2 - -- | | - -- | | - -- | | - -- *---------*---------* - -- (x1,y2) inty2 (x2,y2) - - -- These intersections are where the edge of the object crosses the axis, not the middle of the axis. - intx1 = (x, y + dy*x1y1/(x1y1-x1y2)) - intx2 = (x + dx, y + dy*x2y1/(x2y1-x2y2)) - inty1 = (x + dx*x1y1/(x1y1-x2y1), y ) - inty2 = (x + dx*x1y2/(x1y2-x2y2), y + dy) - - -- decompose a square into two triangles... - square :: ℝ2 -> ℝ2 -> ℝ2 -> ℝ2 -> [Polytri] - square aa bb cc dd = [Polytri (aa,bb,cc), Polytri (aa,cc,dd)] - - in case (x1y1 <= 0, x2y1 <= 0, x2y2 <= 0, x1y2 <= 0, c <= 0) of - -- Yes, there's some symetries that could reduce the amount of code... - -- But I don't think they're worth exploiting... - (False, False, False, False, _) -> [] - ( True, True, True, True, _) -> square (x1,y1) (x2,y1) (x2,y2) (x1,y2) - ( True, True, False, False, _) -> square (x1,y1) (x2,y1) intx2 intx1 - (False, True, True, False, _) -> square inty1 (x2,y1) (x2,y2) inty2 - (False, False, True, True, _) -> square intx1 intx2 (x2,y2) (x1,y2) - ( True, False, False, True, _) -> square (x1,y1) inty1 inty2 (x1,y2) - (False, False, False, True, _) -> [Polytri ( intx1 , inty2 , (x1,y2))] - (False, False, True, False, _) -> [Polytri ( intx2 , (x2,y2), inty2 )] - (False, True, False, False, _) -> [Polytri ( inty1 , (x2,y1), intx1 )] - ( True, False, False, False, _) -> [Polytri ((x1,y1), inty1 , intx1 )] - (False, True, True, True, _) -> [Polytri ( intx1 , (x2,y2), (x1,y2)), Polytri ( inty1 , (x2,y2), intx1 ), Polytri ( inty1 , (x2,y1), (x2,y2))] - ( True, False, True, True, _) -> [Polytri ((x1,y1), inty1 , (x1,y2)), Polytri ( inty1 , intx2 , (x1,y2)), Polytri ( intx2 , (x2,y2), (x1,y2))] - ( True, True, False, True, _) -> [Polytri ((x1,y1), inty2 , (x1,y2)), Polytri ((x1,y1), intx2 , inty2 ), Polytri ((x1,y1), (x2,y1), intx2 )] - ( True, True, True, False, _) -> [Polytri ((x1,y1), (x2,y1), intx1 ), Polytri ( intx1 , (x2,y1), inty2 ), Polytri ((x2,y1), (x2,y2), inty2 )] - (False, True, False, True, False) -> [Polytri ( inty1 , (x1,y2), intx1 ), Polytri ((x2,y1), inty2 , intx2 )] - (False, True, False, True, True) -> [Polytri ( inty1 , (x1,y2), intx1 ), Polytri ((x2,y1), inty2 , intx2 ), Polytri ( inty1 , (x2,y1), (x1,y2)), Polytri ((x2,y1), inty2, (x1,y2))] - ( True, False, True, False, False) -> [Polytri ((x1,y1), inty1 , intx2 ), Polytri ( intx1 , (x2,y2), inty2 )] - ( True, False, True, False, True) -> [Polytri ((x1,y1), inty1 , intx2 ), Polytri ( intx1 , (x2,y2), inty2 ), Polytri ((x1,y1), intx2 , (x2,y2)), Polytri ((x1,y1), (x2,y2), intx1)] - diff --git a/Graphics/Implicit/Export/NormedTriangleMeshFormats.hs b/Graphics/Implicit/Export/NormedTriangleMeshFormats.hs --- a/Graphics/Implicit/Export/NormedTriangleMeshFormats.hs +++ b/Graphics/Implicit/Export/NormedTriangleMeshFormats.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -9,40 +10,42 @@ import Prelude(($), fmap, (+), (.), (*), length, (-), pure, (<>)) -import Graphics.Implicit.Definitions (NormedTriangle(NormedTriangle), NormedTriangleMesh(NormedTriangleMesh), ℝ3) +import Graphics.Implicit.Definitions (NormedTriangle(NormedTriangle), NormedTriangleMesh(getNormedTriangles), ℝ3) import Graphics.Implicit.Export.TextBuilderUtils (Text, Builder, toLazyText, bf, buildInt) import Data.Foldable (fold, foldMap) +import Linear (V3(V3)) -- | Generate a .obj format file from a NormedTriangleMesh -- see: https://en.wikipedia.org/wiki/Wavefront_.obj_file obj :: NormedTriangleMesh -> Text -obj (NormedTriangleMesh normedtriangles) = toLazyText $ vertcode <> normcode <> trianglecode +obj mesh = toLazyText $ vertcode <> normcode <> trianglecode where - -- | A vertex line; v (0.0, 0.0, 1.0) = "v 0.0 0.0 1.0\n" + -- A vertex line; v (0.0, 0.0, 1.0) = "v 0.0 0.0 1.0\n" v :: ℝ3 -> Builder - v (x,y,z) = "v " <> bf x <> " " <> bf y <> " " <> bf z <> "\n" - -- | A normal line; n (0.0, 0.0, 1.0) = "vn 0.0 0.0 1.0\n" + v (V3 x y z) = "v " <> bf x <> " " <> bf y <> " " <> bf z <> "\n" + -- A normal line; n (0.0, 0.0, 1.0) = "vn 0.0 0.0 1.0\n" n :: ℝ3 -> Builder - n (x,y,z) = "vn " <> bf x <> " " <> bf y <> " " <> bf z <> "\n" + n (V3 x y z) = "vn " <> bf x <> " " <> bf y <> " " <> bf z <> "\n" verts = do -- Extract the vertices for each triangle. -- recall that a normed triangle is of the form ((vert, norm), ...) - NormedTriangle ((a,_),(b,_),(c,_)) <- normedtriangles + NormedTriangle ((a,_),(b,_),(c,_)) <- normedTriangles -- The vertices from each triangle take up 3 positions in the resulting list [a,b,c] norms = do -- extract the normals for each triangle - NormedTriangle ((_,a),(_,b),(_,c)) <- normedtriangles + NormedTriangle ((_,a),(_,b),(_,c)) <- normedTriangles -- The normals from each triangle take up 3 positions in the resulting list [a,b,c] vertcode = foldMap v verts normcode = foldMap n norms + trianglecode :: Builder trianglecode = fold $ do - n' <- fmap ((+1).(*3)) [0,1 .. length normedtriangles -1] + n' <- fmap ((+1).(*3)) [0,1 .. length normedTriangles -1] let vta = buildInt n' vtb = buildInt (n'+1) vtc = buildInt (n'+2) pure $ "f " <> vta <> " " <> vtb <> " " <> vtc <> " " <> "\n" - + normedTriangles = getNormedTriangles mesh diff --git a/Graphics/Implicit/Export/OutputFormat.hs b/Graphics/Implicit/Export/OutputFormat.hs new file mode 100644 --- /dev/null +++ b/Graphics/Implicit/Export/OutputFormat.hs @@ -0,0 +1,119 @@ +{- ORMOLU_DISABLE -} +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +-- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) +-- Released under the GNU AGPLV3+, see LICENSE + +module Graphics.Implicit.Export.OutputFormat + ( OutputFormat (SVG, SCAD, PNG, GCode, ASCIISTL, STL, THREEJS, OBJ, DXF), + guessOutputFormat, + formatExtensions, + formatExtension, + formats2D, + formatIs2D, + def2D, + formats3D, + formatIs3D, + def3D, + ) +where + +import Prelude (Bool, Eq, FilePath, Maybe, Read (readsPrec), Show(show), String, drop, error, flip, length, tail, take, ($), (<>), (==)) +import Control.Applicative ((<$>)) +-- For making the format guesser case insensitive when looking at file extensions. +import Data.Char (toLower) +import Data.Default.Class (Default(def)) +import Data.List (lookup, elem) +import Data.Maybe (fromMaybe) +import Data.Tuple (swap) +-- For handling input/output files. +import System.FilePath (takeExtensions) + +-- | A type serving to enumerate our output formats. +data OutputFormat + = SVG + | SCAD + | PNG + | GCode + | ASCIISTL + | STL + | THREEJS + | OBJ + | DXF +-- | 3MF + deriving (Show, Eq) + +instance Default OutputFormat where + def = STL + +-- | Default 2D output format +def2D :: OutputFormat +def2D = SVG + +-- | Default 3D output format +def3D :: OutputFormat +def3D = def + +-- | All supported 2D formats +formats2D :: [OutputFormat] +formats2D = [GCode, DXF, PNG, SCAD, SVG] + +-- | True for 2D capable `OutputFormat`s +formatIs2D :: OutputFormat -> Bool +formatIs2D = flip elem formats2D + +-- | All supported 3D formats +formats3D :: [OutputFormat] +formats3D = [ASCIISTL, OBJ, STL, SCAD, THREEJS] + +-- | True for 3D capable `OutputFormat`s +formatIs3D :: OutputFormat -> Bool +formatIs3D = flip elem formats3D + +-- | A list mapping file extensions to output formats. +formatExtensions :: [(String, OutputFormat)] +formatExtensions = + [ ("svg", SVG), + ("scad", SCAD), + ("png", PNG), + ("ngc", GCode), + ("gcode", GCode), + ("ascii.stl", ASCIISTL), + ("asciistl", ASCIISTL), + ("stl", STL), + ("three.js", THREEJS), + ("threejs", THREEJS), + ("obj", OBJ), + ("dxf", DXF) +-- ("3mf", 3MF) + ] + +-- | Lookup an output format for a given output file. Throw an error if one cannot be found. +guessOutputFormat :: FilePath -> OutputFormat +guessOutputFormat fileName = + fromMaybe (error $ "Unrecognized output format: " <> ext) $ + readOutputFormat $ tail ext + where + ext = takeExtensions fileName + +-- | Try to look up an output format from a supplied extension. +readOutputFormat :: String -> Maybe OutputFormat +readOutputFormat ext = lookup (toLower <$> ext) formatExtensions + +-- | A Read instance for our output format. Used by 'auto' in our command line parser. +-- Reads a string, and evaluates to the appropriate OutputFormat. +instance Read OutputFormat where + readsPrec _ myvalue = + tryParse formatExtensions + where + tryParse :: [(String, OutputFormat)] -> [(OutputFormat, String)] + tryParse [] = [] -- If there is nothing left to try, fail + tryParse ((attempt, result) : xs) = + if take (length attempt) myvalue == attempt + then [(result, drop (length attempt) myvalue)] + else tryParse xs + +-- | Get filename extension for `OutputFormat` +formatExtension :: OutputFormat -> String +formatExtension fmt = fromMaybe + (error $ "No extension defined for OutputFormat " <> show fmt) + $ lookup fmt (swap <$> formatExtensions) diff --git a/Graphics/Implicit/Export/PolylineFormats.hs b/Graphics/Implicit/Export/PolylineFormats.hs --- a/Graphics/Implicit/Export/PolylineFormats.hs +++ b/Graphics/Implicit/Export/PolylineFormats.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -6,7 +7,7 @@ module Graphics.Implicit.Export.PolylineFormats (svg, hacklabLaserGCode, dxf2) where -import Prelude((.), ($), (-), (+), (/), minimum, maximum, unzip, show, unwords, fmap, snd, compare, min, max, length, foldl, mempty, (<>)) +import Prelude((.), ($), (-), (+), (/), minimum, maximum, unzip, show, unwords, fmap, snd, compare, min, max, length, foldl, mempty, (<>), (<$>)) import Graphics.Implicit.Definitions (Polyline(Polyline), ℝ, ℝ2) @@ -17,9 +18,10 @@ import Text.Blaze.Internal (stringValue) import qualified Text.Blaze.Svg11.Attributes as A (version, width, height, viewbox, points, stroke, strokeWidth, fill) -import Data.List (sortBy) +import Data.List (sortBy, foldl') import Data.Foldable (fold, foldMap, traverse_) +import Linear ( V2(V2) ) default (ℝ) @@ -32,7 +34,8 @@ (xmin, xmax, ymin, ymax) = (xmin' - margin, xmax' + margin, ymin' - margin, ymax' + margin) where margin = strokeWidth / 2 ((xmin', xmax'), (ymin', ymax')) = (maxMinList xs,maxMinList ys) - (xs,ys) = unzip $ foldMap pair plines + xs, ys :: [ℝ] + (xs,ys) = unzip $ unpack <$> foldMap pair plines pair (Polyline a) = a maxMinList :: [ℝ] -> (ℝ,ℝ) maxMinList (x:others) = foldl (\(l,h) y -> (min l y, max h y)) (x,x) others @@ -40,7 +43,7 @@ svg11 = docTypeSvg ! A.version "1.1" ! A.width (stringValue $ show (xmax-xmin) <> "mm") ! A.height (stringValue $ show (ymax-ymin) <> "mm") - ! A.viewbox (stringValue $ unwords . fmap show $ [0,0,xmax-xmin,ymax-ymin]) + ! A.viewbox (stringValue $ unwords $ show <$> [0,0,xmax-xmin,ymax-ymin]) -- The reason this isn't totally straightforwards is that svg has different coordinate system -- and we need to compute the requisite translation. @@ -50,7 +53,7 @@ svg' polylines = thinBlueGroup $ traverse_ poly polylines poly (Polyline line) = polyline ! A.points pointList - where pointList = toValue $ toLazyText $ fold [bf (x-xmin) <> "," <> bf (ymax - y) <> " " | (x,y) <- line] + where pointList = toValue $ toLazyText $ fold [bf (x-xmin) <> "," <> bf (ymax - y) <> " " | (V2 x y) <- line] -- Instead of setting styles on every polyline, we wrap the lines in a group element and set the styles on it: thinBlueGroup = g ! A.stroke "rgb(0,0,255)" ! A.strokeWidth (stringValue $ show strokeWidth) ! A.fill "none" -- obj @@ -103,13 +106,13 @@ foldMap buildVertex singlePolyline <> " 0\n" <> "SEQEND\n" buildVertex :: ℝ2 -> Builder - buildVertex (x1,y1) = + buildVertex (V2 x1 y1) = " 0\n" <>"VERTEX\n" <> " 8\n" <>"0\n" <> " 10\n" <> buildTruncFloat x1 <> "\n" <> " 20\n" <> buildTruncFloat y1 <> "\n" (dxfxmin, dxfxmax, dxfymin, dxfymax) = (minimum xs, maximum xs, minimum ys, maximum ys) - (xs, ys) = unzip $ foldMap pair plines + (xs, ys) = unzip $ unpack <$> foldMap pair plines pair :: Polyline -> [ℝ2] pair (Polyline x) = x @@ -120,16 +123,19 @@ polylineRadius :: Polyline -> ℝ polylineRadius polyline' = max (xmax' - xmin') (ymax' - ymin') where - ((xmin', xmax'), (ymin', ymax')) = polylineRadius' [polyline'] + (V2 xmin' xmax', V2 ymin' ymax') = polylineRadius' [polyline'] polylineRadius' :: [Polyline] -> (ℝ2, ℝ2) polylineRadius' lines = (maxMinList xs,maxMinList ys) where - (xs,ys) = unzip $ foldMap pair lines + (xs,ys) = unzip $ unpack <$> foldMap pair lines pair (Polyline a) = a - maxMinList :: [ℝ] -> (ℝ,ℝ) - maxMinList (x:others) = foldl (\(l,h) y -> (min l y, max h y)) (x,x) others - maxMinList [] = (0,0) + maxMinList :: [ℝ] -> ℝ2 + maxMinList (x:others) = foldl' (\(V2 l h) y -> V2 (min l y) (max h y)) (V2 x x) others + maxMinList [] = V2 0 0 +unpack :: V2 a -> (a, a) +unpack (V2 x y) = (x, y) + -- | Gcode generation for the laser cutter in HackLab. Complies with https://ws680.nist.gov/publication/get_pdf.cfm?pub_id=823374 -- FIXME: parameters would be nice. hacklabLaserGCode :: [Polyline] -> Text @@ -147,7 +153,7 @@ <> "G00 X0.0 Y0.0 (move to 0)\n" <> "M2 (end)" gcodeXY :: ℝ2 -> Builder - gcodeXY (x,y) = "X" <> buildTruncFloat x <> " Y" <> buildTruncFloat y + gcodeXY (V2 x y) = "X" <> buildTruncFloat x <> " Y" <> buildTruncFloat y interpretPolyline :: Polyline -> Builder interpretPolyline (Polyline (start:others)) = "G00 " <> gcodeXY start diff --git a/Graphics/Implicit/Export/RayTrace.hs b/Graphics/Implicit/Export/RayTrace.hs --- a/Graphics/Implicit/Export/RayTrace.hs +++ b/Graphics/Implicit/Export/RayTrace.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -7,7 +8,7 @@ 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) -- Our number system, and the definition of a 3D object. -import Graphics.Implicit.Definitions (ℝ, Fastℕ, ℝ2, ℝ3, (⋅), Obj3) +import Graphics.Implicit.Definitions (ℝ, Fastℕ, ℝ2, ℝ3, Obj3) import Codec.Picture (Pixel8) @@ -15,9 +16,8 @@ import Control.Arrow ((***)) -import Data.VectorSpace (Scalar, magnitude, (^+^), (*^), normalized, (^-^), InnerSpace) - -import Data.Cross (cross3) +import Linear + ( V3(V3), cross, Metric(dot, norm), V2(V2), normalize, (*^) ) default (Fastℕ, ℝ) @@ -42,8 +42,8 @@ -- Math -- | The distance traveled by a line segment from the first point to the second point. -vectorDistance :: ℝ3 -> ℝ3 -> Scalar ℝ3 -vectorDistance a b = magnitude (b-a) +vectorDistance :: ℝ3 -> ℝ3 -> ℝ +vectorDistance a b = norm (b-a) -- | Multiply a colour by an intensity. colorMult :: Pixel8 -> Color -> Color @@ -70,30 +70,30 @@ -- Ray Utilities cameraRay :: Camera -> ℝ2 -> Ray -cameraRay (Camera p vx vy f) (x,y) = +cameraRay (Camera p vx vy f) (V2 x y) = let - v = vx `cross3` vy - p' = p ^+^ f*^v ^+^ x*^vx ^+^ y*^vy - n = normalized (p' ^-^ p) + v = vx `cross` vy + p' = p + f*^v + x*^vx + y*^vy + n = normalize (p' - p) in Ray p' n -- | Create a ray from two points. rayFromTo :: ℝ3 -> ℝ3 -> Ray -rayFromTo p1 p2 = Ray p1 (normalized $ p2 ^-^ p1) +rayFromTo p1 p2 = Ray p1 (normalize $ p2 - p1) rayBounds :: Ray -> (ℝ3, ℝ3) -> ℝ2 rayBounds ray box = let - Ray (cPx, cPy, cPz) (cVx, cVy, cVz) = ray - ((x1,y1,z1),(x2,y2,z2)) = box + Ray (V3 cPx cPy cPz) (V3 cVx cVy cVz) = ray + (V3 x1 y1 z1, V3 x2 y2 z2) = box xbounds = [(x1 - cPx)/cVx, (x2-cPx)/cVx] ybounds = [(y1-cPy)/cVy, (y2-cPy)/cVy] zbounds = [(z1-cPz)/cVz, (z2-cPz)/cVz] lower = maximum [minimum xbounds, minimum ybounds, minimum zbounds] upper = minimum [maximum xbounds, maximum ybounds, maximum zbounds] in - (lower, upper) + V2 lower upper -- Intersection -- FIXME: magic numbers. @@ -104,26 +104,26 @@ | aval/2 > res = res/2 | otherwise = res/10 a' = a + step - a'val = obj (p ^+^ a'*^v) + a'val = obj (p + a'*^v) in if a'val < 0 then - let a'' = refine (a,a') (\s -> obj (p ^+^ s*^v)) - in Just (p ^+^ a''*^v) + let a'' = refine (V2 a a') (\s -> obj (p + s*^v)) + in Just (p + a''*^v) else if a' < b then intersection r ((a',a'val), b) res obj else Nothing refine :: ℝ2 -> (ℝ -> ℝ) -> ℝ -refine (a, b) obj = +refine (V2 a b) obj = let (aval, bval) = (obj a, obj b) in if bval < aval - then refine' 10 (a, b) (aval, bval) obj - else refine' 10 (b, a) (aval, bval) obj + then refine' 10 (V2 a b) (V2 aval bval) obj + else refine' 10 (V2 b a) (V2 aval bval) obj refine' :: Fastℕ -> ℝ2 -> ℝ2 -> (ℝ -> ℝ) -> ℝ -refine' 0 (a, _) _ _ = a -refine' n (a, b) (aval, bval) obj = +refine' 0 (V2 a _) _ _ = a +refine' n (V2 a b) (V2 aval bval) obj = let mid = (a+b)/2 midval = obj mid @@ -131,8 +131,8 @@ if midval == 0 then mid else if midval < 0 - then refine' (pred n) (a, mid) (aval, midval) obj - else refine' (pred n) (mid, b) (midval, bval) obj + then refine' (pred n) (V2 a mid) (V2 aval midval) obj + else refine' (pred n) (V2 mid b) (V2 midval bval) obj intersects :: Ray -> ((ℝ, ℝ), ℝ) -> ℝ -> Obj3 -> Bool intersects a b c d = case intersection a b c d of @@ -144,33 +144,32 @@ traceRay :: Ray -> ℝ -> (ℝ3, ℝ3) -> Scene -> Color traceRay ray@(Ray cameraP cameraV) step box (Scene obj objColor lights defaultColor) = let - (a,b) = rayBounds ray box - in case intersection ray ((a, obj (cameraP ^+^ a*^cameraV)), b) step obj of + (V2 a b) = rayBounds ray box + in case intersection ray ((a, obj (cameraP + a*^cameraV)), b) step obj of Just p -> flip colorMult objColor $ floor (sum $ 0.2 : do Light lightPos lightIntensity <- lights let ray'@(Ray _ v) = rayFromTo p lightPos - v' = normalized v + v' = normalize v guard . not $ intersects ray' ((0, obj p),20) step obj let pval = obj p dirDeriv :: ℝ3 -> ℝ - dirDeriv v'' = (obj (p ^+^ step*^v'') ^-^ pval)/step - deriv = (dirDeriv (1,0,0), dirDeriv (0,1,0), dirDeriv (0,0,1)) - normal = normalized deriv - unitV = normalized v' - proj :: InnerSpace v => v -> v -> v - proj a' b' = (a'⋅b')*^b' + dirDeriv v'' = (obj (p + step*^v'') - pval)/step + deriv = V3 (dirDeriv (V3 1 0 0)) (dirDeriv (V3 0 1 0)) (dirDeriv (V3 0 0 1)) + normal = normalize deriv + unitV = normalize v' + -- proj :: InnerSpace v => v -> v -> v + proj a' b' = (a' `dot` b')*^b' dist = vectorDistance p lightPos - illumination = max 0 (normal ⋅ unitV) * lightIntensity * (25 /dist) + illumination = max 0 (normal `dot` unitV) * lightIntensity * (25 /dist) rV = let normalComponent = proj v' normal parComponent = v' - normalComponent in normalComponent - parComponent - pure $ illumination*(3 + 0.3*abs(rV ⋅ cameraV)*abs(rV ⋅ cameraV)) + pure $ illumination*(3 + 0.3*abs(rV `dot` cameraV)*abs(rV `dot` cameraV)) ) Nothing -> defaultColor - diff --git a/Graphics/Implicit/Export/Render.hs b/Graphics/Implicit/Export/Render.hs --- a/Graphics/Implicit/Export/Render.hs +++ b/Graphics/Implicit/Export/Render.hs @@ -1,5 +1,6 @@ --- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +{- ORMOLU_DISABLE -} -- Copyright 2016, Julia Longtin (julial@turinglace.com) +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Released under the GNU AGPLV3+, see LICENSE -- Allow us to use the tearser parallel list comprehension syntax, to avoid having to call zip in the complicated comprehensions below. @@ -8,13 +9,18 @@ -- export getContour and getMesh, which returns the edge of a 2D object, or the surface of a 3D object, respectively. module Graphics.Implicit.Export.Render (getMesh, getContour) where -import Prelude(ceiling, ($), (+), (*), max, div, tail, fmap, reverse, (.), foldMap, min, Int, (<>), (<$>)) +import Prelude(error, (-), ceiling, ($), (+), (*), max, div, tail, fmap, reverse, (.), foldMap, min, Int, (<>), (<$>)) -import Graphics.Implicit.Definitions (ℝ, ℕ, Fastℕ, ℝ2, ℝ3, TriangleMesh, Obj2, Obj3, Polyline(Polyline), (⋯/), both, allthree, fromℕtoℝ, fromℕ) +import Graphics.Implicit.Definitions (ℝ, ℕ, Fastℕ, ℝ2, ℝ3, TriangleMesh, Obj2, SymbolicObj2, Obj3, SymbolicObj3, Polyline(getSegments), (⋯/), fromℕtoℝ, fromℕ) -import Data.VectorSpace ((^-^)) +import Graphics.Implicit.Export.Symbolic.Rebound2 (rebound2) +import Graphics.Implicit.Export.Symbolic.Rebound3 (rebound3) + +import Graphics.Implicit.ObjectUtil (getBox2, getBox3) + import Data.Foldable(fold) +import Linear ( V3(V3), V2(V2) ) -- Here's the plan for rendering a cube (the 2D case is trivial): @@ -63,97 +69,106 @@ -- For the 2D case, we need one last thing, cleanLoopsFromSegs: import Graphics.Implicit.Export.Render.HandlePolylines (cleanLoopsFromSegs) +import Data.Maybe (fromMaybe) +import Graphics.Implicit.Primitives (getImplicit) -- Set the default types for the numbers in this file. default (ℕ, Fastℕ, ℝ) -getMesh :: ℝ3 -> ℝ3 -> ℝ3 -> Obj3 -> TriangleMesh -getMesh p1@(x1,y1,z1) p2 res@(xres,yres,zres) obj = +getMesh :: ℝ3 -> SymbolicObj3 -> TriangleMesh +getMesh res@(V3 xres yres zres) symObj = let + -- Grow bounds a little to avoid sampling at exact bounds + (obj, (p1@(V3 x1 y1 z1), p2)) = rebound3 (getImplicit symObj, getBox3 symObj) + -- How much space are we rendering? - d = p2 ^-^ p1 + d = p2 - p1 -- How many steps will we take on each axis? - nx :: ℕ - ny :: ℕ - nz :: ℕ - (nx,ny,nz) = ceiling `allthree` ( d ⋯/ res) + nx, ny, nz :: ℕ + steps@(V3 nx ny nz) = ceiling <$> ( d ⋯/ res) -- How big are the steps? - (rx,ry,rz) = d ⋯/ (fromℕtoℝ `allthree` (nx,ny,nz)) + (V3 rx ry rz) = d ⋯/ (fromℕtoℝ <$> steps) - -- The positions we're rendering. - pXs = [ x1 + rx*fromℕtoℝ n | n <- [0.. nx] ] - pYs = [ y1 + ry*fromℕtoℝ n | n <- [0.. ny] ] - pZs = [ z1 + rz*fromℕtoℝ n | n <- [0.. nz] ] + -- The planes we're rendering along. + pYZ = [ x1 + rx*fromℕtoℝ n | n <- [0.. nx] ] + pXZ = [ y1 + ry*fromℕtoℝ n | n <- [0.. ny] ] + pXY = [ z1 + rz*fromℕtoℝ n | n <- [0.. nz] ] - -- | performance tuning. + -- performance tuning. -- FIXME: magic number. forcesteps :: Int - forcesteps=32 + forcesteps = 32 - -- | Perform a given function on every point in a 3D grid. - par3DList :: ℕ -> ℕ -> ℕ -> ((ℕ -> ℝ) -> ℕ -> (ℕ -> ℝ) -> ℕ -> (ℕ -> ℝ) -> ℕ -> ℝ) -> [[[ℝ]]] - par3DList lenx leny lenz f = - [[[f - (\n -> x1 + rx*fromℕtoℝ (mx+n)) mx - (\n -> y1 + ry*fromℕtoℝ (my+n)) my - (\n -> z1 + rz*fromℕtoℝ (mz+n)) mz + -- Evaluate obj to avoid waste in mids, segs, later. + objV = par3DList nx ny nz + + -- Sample our object(s) at every point in the 3D space given. + par3DList :: ℕ -> ℕ -> ℕ -> [[[ℝ]]] + par3DList lenx leny lenz = + [[[ sample mx my mz | mx <- [0..lenx] ] | my <- [0..leny] ] | mz <- [0..lenz] ] - `using` parBuffer (max 1 $ div (fromℕ $ lenx+leny+lenz) forcesteps) rdeepseq + `using` parBuffer (max 1 $ div (fromℕ $ (lenx+leny+lenz)) forcesteps) rdeepseq - -- | Evaluate obj to avoid waste in mids, segs, later. - objV = par3DList (nx+2) (ny+2) (nz+2) $ \x _ y _ z _ -> obj (x 0, y 0, z 0) + -- sample our object(s) at the given point. + sample :: ℕ -> ℕ -> ℕ -> ℝ + sample mx my mz = obj $ + V3 + (x1 + rx*(fromℕtoℝ mx)) + (y1 + ry*(fromℕtoℝ my)) + (z1 + rz*(fromℕtoℝ mz)) -- (1) Calculate mid points on X, Y, and Z axis in 3D space. midsZ = [[[ - interpolate (z0, objX0Y0Z0) (z1', objX0Y0Z1) (appABC obj x0 y0) zres - | x0 <- pXs | objX0Y0Z0 <- objY0Z0 | objX0Y0Z1 <- objY0Z1 - ]| y0 <- pYs | objY0Z0 <- objZ0 | objY0Z1 <- objZ1 - ]| z0 <- pZs | z1' <- tail pZs | objZ0 <- objV | objZ1 <- tail objV + interpolate (V2 z0 objX0Y0Z0) (V2 z1' objX0Y0Z1) (appABC obj x0 y0) zres + | x0 <- pYZ | objX0Y0Z0 <- objY0Z0 | objX0Y0Z1 <- objY0Z1 + ]| y0 <- pXZ | objY0Z0 <- objZ0 | objY0Z1 <- objZ1 + ]| z0 <- pXY | z1' <- tail pXY | objZ0 <- objV | objZ1 <- tail objV ] `using` parBuffer (max 1 $ div (fromℕ nz) forcesteps) rdeepseq midsY = [[[ - interpolate (y0, objX0Y0Z0) (y1', objX0Y1Z0) (appACB obj x0 z0) yres - | x0 <- pXs | objX0Y0Z0 <- objY0Z0 | objX0Y1Z0 <- objY1Z0 - ]| y0 <- pYs | y1' <- tail pYs | objY0Z0 <- objZ0 | objY1Z0 <- tail objZ0 - ]| z0 <- pZs | objZ0 <- objV + interpolate (V2 y0 objX0Y0Z0) (V2 y1' objX0Y1Z0) (appACB obj x0 z0) yres + | x0 <- pYZ | objX0Y0Z0 <- objY0Z0 | objX0Y1Z0 <- objY1Z0 + ]| y0 <- pXZ | y1' <- tail pXZ | objY0Z0 <- objZ0 | objY1Z0 <- tail objZ0 + ]| z0 <- pXY | objZ0 <- objV ] `using` parBuffer (max 1 $ div (fromℕ ny) forcesteps) rdeepseq midsX = [[[ - interpolate (x0, objX0Y0Z0) (x1', objX1Y0Z0) (appBCA obj y0 z0) xres - | x0 <- pXs | x1' <- tail pXs | objX0Y0Z0 <- objY0Z0 | objX1Y0Z0 <- tail objY0Z0 - ]| y0 <- pYs | objY0Z0 <- objZ0 - ]| z0 <- pZs | objZ0 <- objV + interpolate (V2 x0 objX0Y0Z0) (V2 x1' objX1Y0Z0) (appBCA obj y0 z0) xres + | x0 <- pYZ | x1' <- tail pYZ | objX0Y0Z0 <- objY0Z0 | objX1Y0Z0 <- tail objY0Z0 + ]| y0 <- pXZ | objY0Z0 <- objZ0 + ]| z0 <- pXY | objZ0 <- objV ] `using` parBuffer (max 1 $ div (fromℕ nx) forcesteps) rdeepseq -- (2) Calculate segments for each side segsZ = [[[ - injZ z0 <$> getSegs (x0,y0) (x1',y1') (obj **$ z0) (objX0Y0Z0, objX1Y0Z0, objX0Y1Z0, objX1Y1Z0) (midA0, midA1, midB0, midB1) - | x0<-pXs | x1'<-tail pXs |midB0<-mX'' | midB1<-mX'T | midA0<-mY'' | midA1<-tail mY'' | objX0Y0Z0<-objY0Z0 | objX1Y0Z0<- tail objY0Z0 | objX0Y1Z0<-objY1Z0 | objX1Y1Z0<-tail objY1Z0 - ]| y0<-pYs | y1'<-tail pYs |mX'' <-mX' | mX'T <-tail mX' | mY'' <-mY' | objY0Z0 <-objZ0 | objY1Z0 <-tail objZ0 - ]| z0<-pZs |mX' <-midsX | mY' <-midsY | objZ0 <-objV + injZ z0 <$> getSegs (V2 x0 y0) (V2 x1' y1') (obj **$ z0) (objX0Y0Z0, objX1Y0Z0, objX0Y1Z0, objX1Y1Z0) (midA0, midA1, midB0, midB1) + | x0<-pYZ | x1'<-tail pYZ |midB0<-mX'' | midB1<-mX'T | midA0<-mY'' | midA1<-tail mY'' | objX0Y0Z0<-objY0Z0 | objX1Y0Z0<- tail objY0Z0 | objX0Y1Z0<-objY1Z0 | objX1Y1Z0<-tail objY1Z0 + ]| y0<-pXZ | y1'<-tail pXZ |mX'' <-mX' | mX'T <-tail mX' | mY'' <-mY' | objY0Z0 <-objZ0 | objY1Z0 <-tail objZ0 + ]| z0<-pXY |mX' <-midsX | mY' <-midsY | objZ0 <-objV ] `using` parBuffer (max 1 $ div (fromℕ nz) forcesteps) rdeepseq segsY = [[[ - injY y0 <$> getSegs (x0,z0) (x1',z1') (obj *$* y0) (objX0Y0Z0, objX1Y0Z0, objX0Y0Z1, objX1Y0Z1) (midA0, midA1, midB0, midB1) - | x0<-pXs | x1'<-tail pXs | midB0<-mB'' | midB1<-mBT' | midA0<-mA'' | midA1<-tail mA'' | objX0Y0Z0<-objY0Z0 | objX1Y0Z0<-tail objY0Z0 | objX0Y0Z1<-objY0Z1 | objX1Y0Z1<-tail objY0Z1 - ]| y0<-pYs | mB'' <-mB' | mBT' <-mBT | mA'' <-mA' | objY0Z0 <-objZ0 | objY0Z1 <-objZ1 - ]| z0<-pZs | z1'<-tail pZs | mB' <-midsX | mBT <-tail midsX | mA' <-midsZ | objZ0 <-objV | objZ1 <-tail objV + injY y0 <$> getSegs (V2 x0 z0) (V2 x1' z1') (obj *$* y0) (objX0Y0Z0, objX1Y0Z0, objX0Y0Z1, objX1Y0Z1) (midA0, midA1, midB0, midB1) + | x0<-pYZ | x1'<-tail pYZ | midB0<-mB'' | midB1<-mBT' | midA0<-mA'' | midA1<-tail mA'' | objX0Y0Z0<-objY0Z0 | objX1Y0Z0<-tail objY0Z0 | objX0Y0Z1<-objY0Z1 | objX1Y0Z1<-tail objY0Z1 + ]| y0<-pXZ | mB'' <-mB' | mBT' <-mBT | mA'' <-mA' | objY0Z0 <-objZ0 | objY0Z1 <-objZ1 + ]| z0<-pXY | z1'<-tail pXY | mB' <-midsX | mBT <-tail midsX | mA' <-midsZ | objZ0 <-objV | objZ1 <-tail objV ] `using` parBuffer (max 1 $ div (fromℕ ny) forcesteps) rdeepseq segsX = [[[ - injX x0 <$> getSegs (y0,z0) (y1',z1') (obj $** x0) (objX0Y0Z0, objX0Y1Z0, objX0Y0Z1, objX0Y1Z1) (midA0, midA1, midB0, midB1) - | x0<-pXs | midB0<-mB'' | midB1<-mBT' | midA0<-mA'' | midA1<-mA'T | objX0Y0Z0<-objY0Z0 | objX0Y1Z0<-objY1Z0 | objX0Y0Z1<-objY0Z1 | objX0Y1Z1<- objY1Z1 - ]| y0<-pYs | y1'<-tail pYs | mB'' <-mB' | mBT' <-mBT | mA'' <-mA' | mA'T <-tail mA' | objY0Z0 <-objZ0 | objY1Z0 <-tail objZ0 | objY0Z1 <-objZ1 | objY1Z1 <-tail objZ1 - ]| z0<-pZs | z1'<-tail pZs | mB' <-midsY | mBT <-tail midsY | mA' <-midsZ | objZ0 <- objV | objZ1 <- tail objV + injX x0 <$> getSegs (V2 y0 z0) (V2 y1' z1') (obj $** x0) (objX0Y0Z0, objX0Y1Z0, objX0Y0Z1, objX0Y1Z1) (midA0, midA1, midB0, midB1) + | x0<-pYZ | midB0<-mB'' | midB1<-mBT' | midA0<-mA'' | midA1<-mA'T | objX0Y0Z0<-objY0Z0 | objX0Y1Z0<-objY1Z0 | objX0Y0Z1<-objY0Z1 | objX0Y1Z1<- objY1Z1 + ]| y0<-pXZ | y1'<-tail pXZ | mB'' <-mB' | mBT' <-mBT | mA'' <-mA' | mA'T <-tail mA' | objY0Z0 <-objZ0 | objY1Z0 <-tail objZ0 | objY0Z1 <-objZ1 | objY1Z1 <-tail objZ1 + ]| z0<-pXY | z1'<-tail pXY | mB' <-midsY | mBT <-tail midsY | mA' <-midsZ | objZ0 <- objV | objZ1 <- tail objV ] `using` parBuffer (max 1 $ div (fromℕ nx) forcesteps) rdeepseq -- (3) & (4) : get and tesselate loops -- FIXME: hack. minres = xres `min` yres `min` zres sqTris = [[[ - foldMap (tesselateLoop minres obj) $ getLoops $ + foldMap (tesselateLoop minres obj) $ + fromMaybe (error "unclosed loop in paths given") $ getLoops $ segX''' <> mapR segX''T <> mapR segY''' <> @@ -178,105 +193,119 @@ mergedSquareTris . fold . fold $ fold sqTris -- | getContour gets a polyline describing the edge of a 2D object. -getContour :: ℝ2 -> ℝ2 -> ℝ2 -> Obj2 -> [Polyline] -getContour p1@(x1, y1) p2 res@(xres,yres) obj = +getContour :: ℝ2 -> SymbolicObj2 -> [Polyline] +getContour res@(V2 xres yres) symObj = let - -- | The size of the region we're being asked to search. - d = p2 ^-^ p1 + -- Grow bounds a little to avoid sampling at exact bounds + (obj, (p1@(V2 x1 y1), p2)) = rebound2 (getImplicit symObj, getBox2 symObj) - -- | How many steps will we take on each axis? - nx :: ℕ - ny :: ℕ - (nx,ny) = ceiling `both` (d ⋯/ res) + -- The size of the region we're being asked to search. + d = p2 - p1 - -- | How big are the steps? - (rx,ry) = d ⋯/ (fromℕtoℝ `both` (nx,ny)) + -- How many steps will we take on each axis? + nx, ny :: ℕ + steps@(V2 nx ny) = ceiling <$> (d ⋯/ res) - -- The points inside of the region. - pYs = [ y1 + ry*fromℕtoℝ p | p <- [0.. ny] ] - pXs = [ x1 + rx*fromℕtoℝ p | p <- [0.. nx] ] + -- How big are the steps? + (V2 rx ry) = d ⋯/ (fromℕtoℝ <$> steps) - -- | Performance tuning. + -- The lines we are rendering along. + pX = [ x1 + rx*fromℕtoℝ p | p <- [0.. nx] ] + pY = [ y1 + ry*fromℕtoℝ p | p <- [0.. ny] ] + + -- Performance tuning. -- FIXME: magic number. forcesteps :: Int - forcesteps=32 + forcesteps = 32 - par2DList :: ℕ -> ℕ -> ((ℕ -> ℝ) -> ℕ -> (ℕ -> ℝ) -> ℕ -> ℝ) -> [[ℝ]] - par2DList lenx leny f = - [[ f - (\n -> x1 + rx*fromℕtoℝ (mx+n)) mx - (\n -> y1 + ry*fromℕtoℝ (my+n)) my + -- Evaluate obj to avoid waste in mids, segs, later. + objV = par2DList nx ny + + -- Sample our object(s) at every point in the 2D plane given. + par2DList :: ℕ -> ℕ -> [[ℝ]] + par2DList lenx leny = + [[ sample mx my | mx <- [0..lenx] ] | my <- [0..leny] ] `using` parBuffer (max 1 $ div (fromℕ $ lenx+leny) forcesteps) rdeepseq - -- | Fully evaluate obj to avoid waste in mids, segs, later. - objV = par2DList (nx+2) (ny+2) $ \x _ y _ -> obj (x 0, y 0) - - -- | Calculate mid points on X, and Y axis in 2D space. - midsY = [[ - interpolate (y0, objX0Y0) (y1', objX0Y1) (obj $* x0) yres - | x0 <- pXs | objX0Y0 <- objY0 | objX0Y1 <- objY1 - ]| y0 <- pYs | y1' <- tail pYs | objY0 <- objV | objY1 <- tail objV - ] `using` parBuffer (max 1 $ div (fromℕ ny) forcesteps) rdeepseq + -- sample our object(s) at the given point. + sample :: ℕ -> ℕ -> ℝ + sample mx my = obj $ + V2 + (x1 + rx*fromℕtoℝ mx) + (y1 + ry*fromℕtoℝ my) + -- Calculate mid points on X axis in 2D space. midsX = [[ - interpolate (x0, objX0Y0) (x1', objX1Y0) (obj *$ y0) xres - | x0 <- pXs | x1' <- tail pXs | objX0Y0 <- objY0 | objX1Y0 <- tail objY0 - ]| y0 <- pYs | objY0 <- objV + interpolate (V2 x0 objX0Y0) (V2 x1' objX1Y0) (obj *$ y0) xres + | x0 <- pX | x1' <- tail pX | objX0Y0 <- objY0 | objX1Y0 <- tail objY0 + ]| y0 <- pY | objY0 <- objV ] `using` parBuffer (max 1 $ div (fromℕ nx) forcesteps) rdeepseq - -- | Calculate segments for each side + -- Calculate mid points on Y axis in 2D space. + midsY = [[ + interpolate (V2 y0 objX0Y0) (V2 y1' objX0Y1) (obj $* x0) yres + | x0 <- pX | objX0Y0 <- objY0 | objX0Y1 <- objY1 + ]| y0 <- pY | y1' <- tail pY | objY0 <- objV | objY1 <- tail objV + ] `using` parBuffer (max 1 $ div (fromℕ ny) forcesteps) rdeepseq + + -- Calculate segments for each side segs = [[ - getSegs (x0,y0) (x1',y1') obj (objX0Y0, objX1Y0, objX0Y1, objX1Y1) (midA0, midA1, midB0, midB1) - | x0<-pXs | x1'<-tail pXs |midB0<-mX'' | midB1<-mX'T | midA0<-mY'' | midA1<-tail mY'' | objX0Y0<-objY0 | objX1Y0<-tail objY0 | objX0Y1<-objY1 | objX1Y1<-tail objY1 - ]| y0<-pYs | y1'<-tail pYs |mX'' <-midsX | mX'T <-tail midsX | mY'' <-midsY | objY0 <- objV | objY1 <- tail objV + getSegs (V2 x0 y0) (V2 x1' y1') obj (objX0Y0, objX1Y0, objX0Y1, objX1Y1) (midA0, midA1, midB0, midB1) + | x0<-pX | x1'<-tail pX |midB0<-mX'' | midB1<-mX'T | midA0<-mY'' | midA1<-tail mY'' | objX0Y0<-objY0 | objX1Y0<-tail objY0 | objX0Y1<-objY1 | objX1Y1<-tail objY1 + ]| y0<-pY | y1'<-tail pY |mX'' <-midsX | mX'T <-tail midsX | mY'' <-midsY | objY0 <- objV | objY1 <- tail objV ] `using` parBuffer (max 1 $ div (fromℕ $ nx+ny) forcesteps) rdeepseq in -- Merge squares cleanLoopsFromSegs . fold $ fold segs - + -- utility functions - + injX :: ℝ -> Polyline -> [ℝ3] -injX a (Polyline xs) = fmap (prepend a) xs -prepend :: ℝ -> ℝ2 -> ℝ3 -prepend a (b,c) = (a,b,c) +injX val polyline = (prepend val) <$> getSegments polyline + where + prepend :: ℝ -> ℝ2 -> ℝ3 + prepend a (V2 b c) = V3 a b c + injY :: ℝ -> Polyline -> [ℝ3] -injY a (Polyline xs) = fmap (insert a) xs -insert :: ℝ -> ℝ2 -> ℝ3 -insert b (a,c) = (a,b,c) +injY val polyline = (insert val) <$> getSegments polyline + where + insert :: ℝ -> ℝ2 -> ℝ3 + insert b (V2 a c) = V3 a b c + injZ :: ℝ -> Polyline -> [ℝ3] -injZ a (Polyline xs) = fmap (postfix a) xs -postfix :: ℝ -> ℝ2 -> ℝ3 -postfix c (a,b) = (a,b,c) +injZ val polyline = (postfix val) <$> getSegments polyline + where + postfix :: ℝ -> ℝ2 -> ℝ3 + postfix c (V2 a b) = V3 a b c ($**) :: Obj3 -> ℝ -> ℝ2 -> ℝ -f $** a = \(b,c) -> f (a,b,c) +f $** a = \(V2 b c) -> f (V3 a b c) infixr 0 $** (*$*) :: Obj3 -> ℝ -> ℝ2 -> ℝ -f *$* b = \(a,c) -> f (a,b,c) +f *$* b = \(V2 a c) -> f (V3 a b c) infixr 0 *$* (**$) :: Obj3 -> ℝ -> ℝ2 -> ℝ -f **$ c = \(a,b) -> f (a,b,c) +f **$ c = \(V2 a b) -> f (V3 a b c) infixr 0 **$ ($*) :: Obj2 -> ℝ -> ℝ -> ℝ -f $* a = \b -> f (a,b) +f $* a = f . V2 a infixr 0 $* (*$) :: Obj2 -> ℝ -> ℝ -> ℝ -f *$ b = \a -> f (a,b) +f *$ b = \a -> f (V2 a b) infixr 0 *$ appABC :: Obj3 -> ℝ -> ℝ -> ℝ -> ℝ -appABC f a b c = f (a,b,c) +appABC f a b c = f (V3 a b c) appBCA :: Obj3 -> ℝ -> ℝ -> ℝ -> ℝ -appBCA f b c a = f (a,b,c) +appBCA f b c a = f (V3 a b c) appACB :: Obj3 -> ℝ -> ℝ -> ℝ -> ℝ -appACB f a c b = f (a,b,c) +appACB f a c b = f (V3 a b c) mapR :: [[ℝ3]] -> [[ℝ3]] mapR = fmap reverse diff --git a/Graphics/Implicit/Export/Render/Definitions.hs b/Graphics/Implicit/Export/Render/Definitions.hs --- a/Graphics/Implicit/Export/Render/Definitions.hs +++ b/Graphics/Implicit/Export/Render/Definitions.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Released under the GNU AGPLV3+, see LICENSE diff --git a/Graphics/Implicit/Export/Render/GetLoops.hs b/Graphics/Implicit/Export/Render/GetLoops.hs --- a/Graphics/Implicit/Export/Render/GetLoops.hs +++ b/Graphics/Implicit/Export/Render/GetLoops.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,66 +6,71 @@ module Graphics.Implicit.Export.Render.GetLoops (getLoops) where -- Explicitly include what we want from Prelude. -import Prelude (head, last, tail, (==), Bool(False), (.), null, error, (<>)) - --- We're working with 3D points here. -import Graphics.Implicit.Definitions (ℝ3) +import Prelude ((<$>), head, last, (==), Bool(False), (.), null, (<>), Eq, Maybe(Just, Nothing)) import Data.List (partition) -- | The goal of getLoops is to extract loops from a list of segments. -- The input is a list of segments. --- The output a list of loops, where each loop is a list of +-- The output a list of loops, where each loop is a list of -- segments, which each piece representing a "side". - +-- -- For example: --- Given points [[1,2],[5,1],[3,4,5], ... ] +-- Given points [[1,2],[5,1],[2,3,4,5], ... ] -- notice that there is a loop 1,2,3,4,5... --- But we give the output [ [ [1,2], [3,4,5], [5,1] ], ... ] +-- But we give the output [ [ [1,2], [2,3,4,5], [5,1] ], ... ] -- so that we have the loop, and also knowledge of how -- the list is built (the "sides" of it). - -getLoops :: [[ℝ3]] -> [[[ℝ3]]] -getLoops a = getLoops' a [] +-- +getLoops :: Eq a => [[a]] -> Maybe [[[a]]] +getLoops [] = Just [] +getLoops (a:as) = getLoops' as [a] (last a) --- We will be actually doing the loop extraction with +-- | We will be actually doing the loop extraction with -- getLoops' - +-- -- getLoops' has a first argument of the segments as before, -- but a *second argument* which is the loop presently being -- built. - +-- -- so we begin with the "building loop" being empty. -getLoops' :: [[ℝ3]] -> [[ℝ3]] -> [[[ℝ3]]] +-- +-- see also: 'getLoops'. +getLoops' + :: Eq a + => [[a]] -- ^ input + -> [[a]] -- ^ accumulator + -> a -- ^ last element in the accumulator + -> Maybe [[[a]]] --- | If there aren't any segments, and the "building loop" is empty, produce no loops. -getLoops' [] [] = [] +-- If there aren't any segments, and the "building loop" is empty, produce no loops. +getLoops' [] [] _ = Just [] --- | If the building loop is empty, stick the first segment we have onto it to give us something to build on. -getLoops' (x:xs) [] = getLoops' xs [x] +-- If the building loop is empty, stick the first segment we have onto it to give us something to build on. +getLoops' (x:xs) [] _ = getLoops' xs [x] (last x) --- | A loop is finished if its start and end are the same. +-- A loop is finished if its start and end are the same. -- Return it and start searching for another loop. -getLoops' segs workingLoop | head (head workingLoop) == last (last workingLoop) = - workingLoop : getLoops' segs [] +getLoops' segs workingLoop ultima | head (head workingLoop) == ultima = + (workingLoop :) <$> getLoops' segs [] ultima -- Finally, we search for pieces that can continue the working loop, -- and stick one on if we find it. -- Otherwise... something is really screwed up. -getLoops' segs workingLoop = +getLoops' segs workingLoop ultima = do let - presEnd :: [[ℝ3]] -> ℝ3 + presEnd :: [[a]] -> a presEnd = last . last connects (x:_) = x == presEnd workingLoop -- Handle the empty case. connects [] = False -- divide our set into sequences that connect, and sequences that don't. (possibleConts, nonConts) = partition connects segs - (next, unused) = if null possibleConts - then error "unclosed loop in paths given" - else (head possibleConts, tail possibleConts <> nonConts) - in + case possibleConts of + [] -> Nothing + (next : conts) -> do + let unused = conts <> nonConts if null next - then workingLoop : getLoops' segs [] - else getLoops' unused (workingLoop <> [next]) + then (workingLoop :) <$> getLoops' segs [] ultima + else getLoops' unused (workingLoop <> [next]) (last next) diff --git a/Graphics/Implicit/Export/Render/GetSegs.hs b/Graphics/Implicit/Export/Render/GetSegs.hs --- a/Graphics/Implicit/Export/Render/GetSegs.hs +++ b/Graphics/Implicit/Export/Render/GetSegs.hs @@ -1,16 +1,16 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.Export.Render.GetSegs (getSegs) where -import Prelude(Bool(True, False), sqrt, (+), (*), (/=), map, (.), filter, ($), (<=)) +import Prelude((-), Bool(True, False), sqrt, (+), (*), (/=), map, (.), filter, ($), (<=)) import Graphics.Implicit.Definitions (ℝ, ℝ2, Obj2, Polyline(Polyline)) import Graphics.Implicit.Export.Render.RefineSegs (refine) import Graphics.Implicit.Export.Util (centroid) - -import Data.VectorSpace ((^-^)) +import Linear (V2(V2)) {- The goal of getSegs is to create polylines to separate the interior and exterior vertices of a square intersecting @@ -31,7 +31,6 @@ To allow data sharing, lots of values we could calculate are instead arguments. - positions obj values --------- ---------- @@ -39,36 +38,36 @@ : : => : : (x1,y1) .. (x2,y1) x1y1 .. x2y2 - mid points ---------- (midy2V, y2) = midy2 - ......*..... - : : - (x1, midx1V) * * (x2, midx2V) - = midx1 : : = midx2 - :....*.....: + ......*...... + : : + (x1, midx1V) * * (x2, midx2V) + = midx1 : : = midx2 + :.....*.....: (midy1V, y1) = midy1 -} getSegs :: ℝ2 -> ℝ2 -> Obj2 -> (ℝ,ℝ,ℝ,ℝ) -> (ℝ,ℝ,ℝ,ℝ) -> [Polyline] -getSegs p1@(x,y) p2 obj (x1y1, x2y1, x1y2, x2y2) (midx1V,midx2V,midy1V,midy2V) = +getSegs p1@(V2 x y) p2 obj (x1y1, x2y1, x1y2, x2y2) (midx1V,midx2V,midy1V,midy2V) = let -- Let's evaluate obj at a few points... c = obj (centroid [p1,p2]) - (dx,dy) = p2 ^-^ p1 + -- TODO(sandy): i might have swapped (^+^) for - here + (V2 dx dy) = p2 - p1 res = sqrt (dx*dy) - midx1 = (x, midx1V) - midx2 = (x + dx, midx2V) - midy1 = (midy1V, y ) - midy2 = (midy2V, y + dy) + midx1 = V2 x midx1V + midx2 = V2 (x + dx) midx2V + midy1 = V2 midy1V y + midy2 = V2 midy2V (y + dy) notPointLine :: Polyline -> Bool notPointLine (Polyline [np1,np2]) = np1 /= np2 diff --git a/Graphics/Implicit/Export/Render/HandlePolylines.hs b/Graphics/Implicit/Export/Render/HandlePolylines.hs --- a/Graphics/Implicit/Export/Render/HandlePolylines.hs +++ b/Graphics/Implicit/Export/Render/HandlePolylines.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2012, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -7,6 +8,7 @@ import Prelude(Maybe(Just, Nothing), fmap, (.), (==), last, reverse, ($), (<>), (-), (/), abs, (<=), (||), (&&), (*), (>), otherwise, error) import Graphics.Implicit.Definitions (minℝ, Polyline(Polyline)) +import Linear ( V2(V2) ) cleanLoopsFromSegs :: [Polyline] -> [Polyline] cleanLoopsFromSegs = fmap reducePolyline . joinSegs @@ -30,82 +32,20 @@ -- | Simplify and sort a polyline. reducePolyline :: Polyline -> Polyline -reducePolyline (Polyline ((x1,y1):(x2,y2):(x3,y3):others)) +reducePolyline (Polyline (V2 x1 y1 : V2 x2 y2 : V2 x3 y3:others)) -- Remove sequential duplicate points. - | (x1,y1) == (x2,y2) = reducePolyline (Polyline ((x2,y2):(x3,y3):others)) + | (x1,y1) == (x2,y2) = reducePolyline (Polyline (V2 x2 y2 : V2 x3 y3 : others)) | abs ( (y2-y1)/(x2-x1) - (y3-y1)/(x3-x1) ) <= minℝ || ( (x2-x1) == 0 && (x3-x1) == 0 && (y2-y1)*(y3-y1) > 0) = - reducePolyline (Polyline ((x1,y1):(x3,y3):others)) - | otherwise = Polyline ((x1,y1) : points (reducePolyline (Polyline ((x2,y2):(x3,y3):others)))) + reducePolyline (Polyline (V2 x1 y1 : V2 x3 y3 :others)) + | otherwise = Polyline (V2 x1 y1 : points (reducePolyline (Polyline (V2 x2 y2 : V2 x3 y3 : others)))) where points (Polyline pts) = pts -- | remove sequential duplicate points. -reducePolyline (Polyline ((x1,y1):(x2,y2):others)) = - if (x1,y1) == (x2,y2) then reducePolyline (Polyline ((x2,y2):others)) else Polyline ((x1,y1):(x2,y2):others) --- | Return the last result. +reducePolyline (Polyline (V2 x1 y1 : V2 x2 y2 : others)) = + if (x1,y1) == (x2,y2) then reducePolyline (Polyline (V2 x2 y2 : others)) else Polyline (V2 x1 y1 : V2 x2 y2 : others) +-- Return the last result. reducePolyline l@(Polyline ((_:_))) = l -- Should not happen. -reducePolyline (Polyline ([])) = error "empty polyline" - -{-cleanLoopsFromSegs = - connectPolys - -- . joinSegs - . filter (not . degeneratePoly) - -polylinesFromSegsOnGrid = undefined - -degeneratePoly [] = True -degeneratePoly [a,b] = a == b -degeneratePoly _ = False - -data SegOrPoly = Seg (ℝ2) ℝ ℝ2 -- Basis, shift, interval - | Poly [ℝ2] - -isSeg (Seg _ _ _) = True -isSeg _ = False - -toSegOrPoly :: Polyline -> SegOrPoly -toSegOrPoly [a, b] = Seg v (a⋅vp) (a⋅v, b⋅v) - where - v@(va, vb) = normalized (b ^-^ a) - vp = (-vb, va) -toSegOrPoly ps = Poly ps - -fromSegOrPoly :: SegOrPoly -> Polyline -fromSegOrPoly (Seg v@(va,vb) s (a,b)) = [a*^v ^+^ t, b*^v ^+^ t] - where t = s*^(-vb, va) -fromSegOrPoly (Poly ps) = ps - -joinSegs :: [Polyline] -> [Polyline] -joinSegs = fmap fromSegOrPoly . joinSegs' . fmap toSegOrPoly - -joinSegs' :: [SegOrPoly] -> [SegOrPoly] -joinSegs' segsOrPolys = polys <> (foldMap joinAligned aligned) where - polys = filter (not.isSeg) segsOrPolys - segs = filter isSeg segsOrPolys - aligned = groupWith (\(Seg basis p _) -> (basis,p)) segs - -joinAligned segs@((Seg b z _):_) = mergeAdjacent orderedSegs where - orderedSegs = sortBy (\(Seg _ _ (a1,_)) (Seg _ _ (b1,_)) -> compare a1 b1) segs - mergeAdjacent (pres@(Seg _ _ (x1a,x2a)) : next@(Seg _ _ (x1b,x2b)) : others) = - if x2a == x1b - then mergeAdjacent ((Seg b z (x1a,x2b)): others) - else pres : mergeAdjacent (next : others) - mergeAdjacent a = a -joinAligned [] = [] - -connectPolys :: [Polyline] -> [Polyline] -connectPolys [] = [] -connectPolys (present:remaining) = - let - findNext (ps@(p:_):segs) = - if p == last present - then (Just ps, segs) - else (a, ps:b) where (a,b) = findNext segs - findNext [] = (Nothing, []) - in - case findNext remaining of - (Nothing, _) -> present:(connectPolys remaining) - (Just match, others) -> connectPolys $ (present <> tail match): others +reducePolyline (Polyline []) = error "empty polyline" --} diff --git a/Graphics/Implicit/Export/Render/HandleSquares.hs b/Graphics/Implicit/Export/Render/HandleSquares.hs --- a/Graphics/Implicit/Export/Render/HandleSquares.hs +++ b/Graphics/Implicit/Export/Render/HandleSquares.hs @@ -1,16 +1,16 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.Export.Render.HandleSquares (mergedSquareTris) where -import Prelude(foldMap, (<>), ($), fmap, concat, (.), (==), compare, error) +import Prelude((+), foldMap, (<>), ($), fmap, concat, (.), (==), compare, error, otherwise, concatMap) -import Graphics.Implicit.Definitions (TriangleMesh(TriangleMesh), Triangle(Triangle)) +import Graphics.Implicit.Definitions (TriangleMesh(TriangleMesh, getTriangles), Triangle(Triangle)) import Graphics.Implicit.Export.Render.Definitions (TriSquare(Tris, Sq)) - -import Data.VectorSpace ((^*), (*^), (^+^)) +import Linear ( V2(V2), (*^), (^*) ) import GHC.Exts (groupWith) import Data.List (sortBy) @@ -65,23 +65,21 @@ -- the list of triangles we give back. So, the triangles coming from -- triangles... triTriangles :: [Triangle] - triTriangles = [tri | Tris tris <- sqTris, tri <- unmesh tris ] - --concat $ fmap (\(Tris a) -> a) $ filter isTris sqTris + triTriangles = [tri | Tris tris <- sqTris, tri <- getTriangles tris ] -- We actually want to work on the quads, so we find those squaresFromTris :: [TriSquare] squaresFromTris = [ Sq x y z q | Sq x y z q <- sqTris ] - unmesh (TriangleMesh m) = m - -- Collect squares that are on the same plane. planeAligned = groupWith (\(Sq basis z _ _) -> (basis,z)) squaresFromTris -- For each plane: -- Select for being the same range on X and then merge them on Y -- Then vice versa. + joined :: [[TriSquare]] joined = fmap - ( concat . (fmap joinXaligned) . groupWith (\(Sq _ _ xS _) -> xS) - . concat . (fmap joinYaligned) . groupWith (\(Sq _ _ _ yS) -> yS) - . concat . (fmap joinXaligned) . groupWith (\(Sq _ _ xS _) -> xS)) + ( concatMap joinXaligned . groupWith (\(Sq _ _ xS _) -> xS) + . concatMap joinYaligned . groupWith (\(Sq _ _ _ yS) -> yS) + . concatMap joinXaligned . groupWith (\(Sq _ _ xS _) -> xS)) planeAligned -- Merge them back together, and we have the desired reult! finishedSquares = concat joined @@ -96,14 +94,12 @@ joinXaligned quads@((Sq b z xS _):_) = let orderedQuads = sortBy - (\(Sq _ _ _ (ya,_)) (Sq _ _ _ (yb,_)) -> compare ya yb) + (\(Sq _ _ _ (V2 ya _)) (Sq _ _ _ (V2 yb _)) -> compare ya yb) quads - mergeAdjacent (pres@(Sq _ _ _ (y1a,y2a)) : next@(Sq _ _ _ (y1b,y2b)) : others) = - if y2a == y1b - then mergeAdjacent ((Sq b z xS (y1a,y2b)): others) - else if y1a == y2b - then mergeAdjacent ((Sq b z xS (y1b,y2a)): others) - else pres : mergeAdjacent (next : others) + mergeAdjacent (pres@(Sq _ _ _ (V2 y1a y2a)) : next@(Sq _ _ _ (V2 y1b y2b)) : others) + | y2a == y1b = mergeAdjacent (Sq b z xS (V2 y1a y2b) : others) + | y1a == y2b = mergeAdjacent (Sq b z xS (V2 y1b y2a) : others) + | otherwise = pres : mergeAdjacent (next : others) mergeAdjacent a = a in mergeAdjacent orderedQuads @@ -114,14 +110,12 @@ joinYaligned quads@((Sq b z _ yS):_) = let orderedQuads = sortBy - (\(Sq _ _ (xa,_) _) (Sq _ _ (xb,_) _) -> compare xa xb) + (\(Sq _ _ (V2 xa _) _) (Sq _ _ (V2 xb _) _) -> compare xa xb) quads - mergeAdjacent (pres@(Sq _ _ (x1a,x2a) _) : next@(Sq _ _ (x1b,x2b) _) : others) = - if x2a == x1b - then mergeAdjacent ((Sq b z (x1a,x2b) yS): others) - else if x1a == x2b - then mergeAdjacent ((Sq b z (x1b,x2a) yS): others) - else pres : mergeAdjacent (next : others) + mergeAdjacent (pres@(Sq _ _ (V2 x1a x2a) _) : next@(Sq _ _ (V2 x1b x2b) _) : others) + | x2a == x1b = mergeAdjacent (Sq b z (V2 x1a x2b) yS : others) + | x1a == x2b = mergeAdjacent (Sq b z (V2 x1b x2a) yS : others) + | otherwise = pres : mergeAdjacent (next : others) mergeAdjacent a = a in mergeAdjacent orderedQuads @@ -130,18 +124,16 @@ -- Deconstruct a square into two triangles. squareToTri :: TriSquare -> [Triangle] -squareToTri (Sq (b1,b2,b3) z (x1,x2) (y1,y2)) = +squareToTri (Sq (b1,b2,b3) z (V2 x1 x2) (V2 y1 y2)) = let zV = b3 ^* z (x1V, x2V) = (x1 *^ b1, x2 *^ b1) (y1V, y2V) = (y1 *^ b2, y2 *^ b2) - a = zV ^+^ x1V ^+^ y1V - b = zV ^+^ x2V ^+^ y1V - c = zV ^+^ x1V ^+^ y2V - d = zV ^+^ x2V ^+^ y2V + a = zV + x1V + y1V + b = zV + x2V + y1V + c = zV + x1V + y2V + d = zV + x2V + y2V in [Triangle (a,b,c), Triangle (c,b,d)] -squareToTri (Tris t) = unmesh t - where - unmesh (TriangleMesh a) = a +squareToTri (Tris t) = getTriangles t diff --git a/Graphics/Implicit/Export/Render/Interpolate.hs b/Graphics/Implicit/Export/Render/Interpolate.hs --- a/Graphics/Implicit/Export/Render/Interpolate.hs +++ b/Graphics/Implicit/Export/Render/Interpolate.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -7,6 +8,7 @@ import Prelude((*), (>), (<), (/=), (+), (-), (/), (==), (&&), abs) import Graphics.Implicit.Definitions (ℝ, Fastℕ, ℝ2) +import Linear (V2(V2)) default (Fastℕ, ℝ) -- Consider a function f(x): @@ -44,11 +46,11 @@ -- FIXME: accept resolution on multiple axises. interpolate :: ℝ2 -> ℝ2 -> (ℝ -> ℝ) -> ℝ -> ℝ -interpolate (a,aval) (_,bval) _ _ | aval*bval > 0 = a +interpolate (V2 a aval) (V2 _ bval) _ _ | aval*bval > 0 = a -- The obvious: -interpolate (a, 0) _ _ _ = a -interpolate _ (b, 0) _ _ = b +interpolate (V2 a 0) _ _ _ = a +interpolate _ (V2 b 0) _ _ = b -- It may seem, at first, that our task is trivial. -- Just use linear interpolation! @@ -71,56 +73,18 @@ -- at it (shrink domain to guess within fromm (a,b) to (a',b')) -- :) -{-interpolate (a,aval) (b,bval) f res = - let - -- a' and b' are just a and b shifted inwards slightly. - a' = (a*95+5*b)/100 - b' = (b*95+5*a)/100 - -- we evaluate at them. - a'val = f a' - b'val = f b' - -- ... so we can calculate the derivatives! - deriva = abs $ 20*(aval - a'val) - derivb = abs $ 20*(bval - b'val) - -- And if one side of the function is slow... - in if abs deriva < 0.1 || abs derivb < 0.1 - -- We use a binary search interpolation! - then - -- The best case is that it crosses between a and a' - if aval*a'val < 0 - then - interpolateBin 0 (a,aval) (a',a'val) f - -- Or between b' and b - else if bval*b'val < 0 - then interpolateBin 0 (b',b'val) (b,bval) f - -- But in the worst case, we get to shrink to (a',b') :) - else interpolateBin 0 (a',a'val) (b',b'val) f - -- Otherwise, we use our friend, linear interpolation! - else - -- again... - -- The best case is that it crosses between a and a' - if aval*a'val < 0 - then - interpolateLin 0 (a,aval) (a',a'val) f - -- Or between b' and b - else if bval*b'val < 0 - then interpolateLin 0 (b',b'val) (b,bval) f - -- But in the worst case, we get to shrink to (a',b') :) - else interpolateLin 0 (a',a'val) (b',b'val) f --} - -interpolate (a,aval) (b,bval) f _ = +interpolate (V2 a aval) (V2 b bval) f _ = -- Make sure aval > bval, then pass to interpolateLin if aval > bval - then interpolateLin 0 (a,aval) (b,bval) f - else interpolateLin 0 (b,bval) (a,aval) f + then interpolateLin 0 (V2 a aval) (V2 b bval) f + else interpolateLin 0 (V2 b bval) (V2 a aval) f -- Yay, linear interpolation! -- Try the answer linear interpolation gives us... -- (n is to cut us off if recursion goes too deep) interpolateLin :: Fastℕ -> ℝ2 -> ℝ2 -> (ℝ -> ℝ) -> ℝ -interpolateLin n (a, aval) (b, bval) obj | aval /= bval= +interpolateLin n (V2 a aval) (V2 b bval) obj | aval /= bval= let -- Interpolate and evaluate mid :: ℝ @@ -129,7 +93,7 @@ -- Are we done? in if midval == 0 then mid - -- + -- else let (a', a'val, b', b'val, improveRatio) = if midval > 0 @@ -144,32 +108,32 @@ -- to zero than the previous one. in if improveRatio < 0.3 && n < 4 -- And we continue on. - then interpolateLin (n+1) (a', a'val) (b', b'val) obj + then interpolateLin (n+1) (V2 a' a'val) (V2 b' b'val) obj -- But if not, we switch to binary interpolate, which is -- immune to this problem - else interpolateBin (n+1) (a', a'val) (b', b'val) obj + else interpolateBin (n+1) (V2 a' a'val) (V2 b' b'val) obj -- And a fallback: -interpolateLin _ (a, _) _ _ = a +interpolateLin _ (V2 a _) _ _ = a -- Now for binary searching! interpolateBin :: Fastℕ -> ℝ2 -> ℝ2 -> (ℝ -> ℝ) -> ℝ -- The termination case: -interpolateBin 5 (a,aval) (b,bval) _ = +interpolateBin 5 (V2 a aval) (V2 b bval) _ = if abs aval < abs bval then a else b -- Otherwise, have fun with mid! -interpolateBin n (a,aval) (b,bval) f = +interpolateBin n (V2 a aval) (V2 b bval) f = let mid :: ℝ mid = (a+b)/2 midval = f mid in if midval > 0 - then interpolateBin (n+1) (mid,midval) (b,bval) f - else interpolateBin (n+1) (a,aval) (mid,midval) f + then interpolateBin (n+1) (V2 mid midval) (V2 b bval) f + else interpolateBin (n+1) (V2 a aval) (V2 mid midval) f diff --git a/Graphics/Implicit/Export/Render/RefineSegs.hs b/Graphics/Implicit/Export/Render/RefineSegs.hs --- a/Graphics/Implicit/Export/Render/RefineSegs.hs +++ b/Graphics/Implicit/Export/Render/RefineSegs.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,12 +6,11 @@ -- export one function, which refines polylines. module Graphics.Implicit.Export.Render.RefineSegs (refine) where -import Prelude((<), (/), (<>), (*), ($), (&&), (-), (+), (.), (>), abs, sqrt, (<=)) +import Prelude((<), (/), (<>), (*), ($), (&&), (-), (+), (.), (>), abs, (<=)) -import Graphics.Implicit.Definitions (ℝ, ℝ2, Polyline(Polyline), minℝ, Fastℕ, Obj2, (⋅)) +import Graphics.Implicit.Definitions (ℝ, ℝ2, Polyline(Polyline), minℝ, Fastℕ, Obj2) import Graphics.Implicit.Export.Util (centroid) - -import Data.VectorSpace (normalized, magnitude, (^-^), (^*), (^+^)) +import Linear ( Metric(norm, dot), V2(V2), normalize, (^*) ) default (Fastℕ, ℝ) @@ -24,7 +24,7 @@ -- an initial value for a depth counter argument. -- FIXME: magic number. detail' :: ℝ -> (ℝ2 -> ℝ) -> Polyline -> Polyline -detail' res obj (Polyline [p1@(x1,y1), p2@(x2,y2)]) +detail' res obj (Polyline [p1@(V2 x1 y1), p2@(V2 x2 y2)]) | (x2-x1)*(x2-x1) + (y2-y1)*(y2-y1) > res*res/200 = detail 0 res obj $ Polyline [p1,p2] detail' _ _ a = a @@ -39,32 +39,17 @@ then Polyline [p1, p2] else let - normal = (\(a,b) -> (b, -a)) $ normalized (p2 ^-^ p1) - derivN = -(obj (mid ^-^ (normal ^* (midval/2))) - midval) * (2/midval) + normal = (\(V2 a b) -> V2 b (-a)) $ normalize (p2 - p1) + derivN = -(obj (mid - (normal ^* (midval/2))) - midval) * (2/midval) in if abs derivN > 0.5 && abs derivN < 2 && abs (midval/derivN) < 3*res then let - mid' = mid ^-^ (normal ^* (midval / derivN)) + mid' = mid - (normal ^* (midval / derivN)) in addPolylines (detail (n+1) res obj (Polyline [p1, mid'])) (detail (n+1) res obj ( Polyline [mid', p2] )) - else - let - derivX = (obj (mid ^+^ (res/100, 0)) - midval)*100/res - derivY = (obj (mid ^+^ (0, res/100)) - midval)*100/res - derivNormSq = derivX*derivX + derivY*derivY - in - if abs derivNormSq > 0.09 && abs derivNormSq < 4 && abs (midval/sqrt derivNormSq) < 3*res - then - let - (dX, dY) = (- derivX*midval/derivNormSq, - derivY*midval/derivNormSq) - mid' = mid ^+^ (dX, dY) - midval' = obj mid' - posRatio = midval/(midval - midval') - mid'' = mid ^+^ (dX*posRatio, dY*posRatio) - in - addPolylines (detail (n+1) res obj (Polyline [p1, mid''])) (detail (n+1) res obj ( Polyline [mid'', p2] )) - else Polyline [p1, p2] + -- NOTE: we used to have a routine for increasing the sharpness of corners here, but it was too buggy. - JEL + else Polyline [p1, p2] detail _ _ _ x = x @@ -74,7 +59,7 @@ simplify1 :: Polyline -> Polyline simplify1 (Polyline (a:b:c:xs)) = - if abs ( ((b ^-^ a) ⋅ (c ^-^ a)) - magnitude (b ^-^ a) * magnitude (c ^-^ a) ) <= minℝ + if abs ( ((b - a) `dot` (c - a)) - norm (b - a) * norm (c - a) ) <= minℝ then simplify1 (Polyline (a:c:xs)) else addPolylines (Polyline [a]) (simplify1 (Polyline (b:c:xs))) simplify1 a = a diff --git a/Graphics/Implicit/Export/Render/TesselateLoops.hs b/Graphics/Implicit/Export/Render/TesselateLoops.hs --- a/Graphics/Implicit/Export/Render/TesselateLoops.hs +++ b/Graphics/Implicit/Export/Render/TesselateLoops.hs @@ -1,10 +1,11 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.Export.Render.TesselateLoops (tesselateLoop) where -import Prelude(pure, ($), length, (==), zip, init, tail, reverse, (<), (/), null, foldl1, (<>), head, (*), abs, (>), (&&), (+), foldMap) +import Prelude(sum, (-), pure, ($), length, (==), zip, init, tail, reverse, (<), (/), null, (<>), head, (*), abs, (+), foldMap, (&&)) import Graphics.Implicit.Definitions (ℝ, ℕ, Obj3, ℝ3, TriangleMesh(TriangleMesh), Triangle(Triangle)) @@ -12,11 +13,8 @@ import Graphics.Implicit.Export.Util (centroid) -import Data.VectorSpace ((^-^), (^+^), magnitude, (^/), (^*)) - import Data.List (genericLength) - -import Data.Cross (cross3) +import Linear ( cross, Metric(norm), (^*), (^/) ) -- de-compose a loop into a series of triangles or squares. -- FIXME: res should be ℝ3. @@ -26,7 +24,6 @@ tesselateLoop _ _ [[a,b],[_,c],[_,_]] = [Tris $ TriangleMesh [Triangle (a,b,c)]] - {- #____# #____# | | | | @@ -56,8 +53,8 @@ {- tesselateLoop _ _ [[a,_],[b,_],[c,_],[d,_]] | centroid [a,c] == centroid [b,d] = let - b1 = normalized $ a ^-^ b - b2 = normalized $ c ^-^ b + b1 = normalized $ a - b + b2 = normalized $ c - b b3 = b1 `cross3` b2 in [Sq (b1,b2,b3) (a ⋅ b3) (a ⋅ b1, c ⋅ b1) (a ⋅ b2, c ⋅ b2) ] -} @@ -82,19 +79,20 @@ in if null path then early_tris else let - mid@(_,_,_) = centroid path + mid = centroid path midval = obj mid - preNormal = foldl1 (^+^) - [ a `cross3` b | (a,b) <- zip path (tail path <> [head path]) ] - preNormalNorm = magnitude preNormal + preNormal = sum + [ a `cross` b | (a,b) <- zip path (tail path <> [head path]) ] + preNormalNorm = norm preNormal normal = preNormal ^/ preNormalNorm - deriv = (obj (mid ^+^ (normal ^* (res/100)) ) ^-^ midval)/res*100 - mid' = mid ^-^ normal ^* (midval/deriv) - in if abs midval > res/50 && preNormalNorm > 0.5 && abs deriv > 0.5 - && abs (midval/deriv) < 2*res && 3*abs (obj mid') < abs midval + deriv = (obj (mid + (normal ^* (res/100)) ) - midval)/res*100 + mid' = mid - normal ^* (midval/deriv) + midval' = obj mid' + isCloserToSurface = abs midval' < abs midval + isNearby = norm (mid - mid') < 2 * abs midval + in if isCloserToSurface && isNearby then early_tris <> [Triangle (a,b,mid') | (a,b) <- zip path (tail path <> [head path]) ] else early_tris <> [Triangle (a,b,mid) | (a,b) <- zip path (tail path <> [head path]) ] - shrinkLoop :: ℕ -> [ℝ3] -> ℝ -> Obj3 -> ([Triangle], [ℝ3]) diff --git a/Graphics/Implicit/Export/Resolution.hs b/Graphics/Implicit/Export/Resolution.hs new file mode 100644 --- /dev/null +++ b/Graphics/Implicit/Export/Resolution.hs @@ -0,0 +1,45 @@ +{- ORMOLU_DISABLE -} +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +-- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) +-- Released under the GNU AGPLV3+, see LICENSE + +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE ViewPatterns #-} + +module Graphics.Implicit.Export.Resolution (estimateResolution) where + +import Prelude (min, minimum, sqrt, ($), (*), (**), (-), (/), (>)) +import Data.Maybe (Maybe (Just), fromMaybe) +import Graphics.Implicit (unionR) +import Graphics.Implicit.Definitions (SymbolicObj2, SymbolicObj3, ℝ) +import Graphics.Implicit.ExtOpenScad.Definitions (Message, OVal (ONum), VarLookup, lookupVarIn) +import Graphics.Implicit.Primitives (Object (getBox)) +import Linear (V2 (V2), V3 (V3)) +import Linear.Affine ((.-.)) + +-- | Find the resolution to raytrace at. +estimateResolution :: (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) -> ℝ +estimateResolution (lookupVarIn "$res" -> Just (ONum res), _, _, _) = + -- If specified, use a resolution specified by the "$res" a variable in the input file. + res +estimateResolution (vars, _, obj:objs, _) = + -- If there was no resolution specified, use a resolution chosen for 3D objects. + -- FIXME: magic numbers. + let + (V3 x1 y1 z1, V3 x2 y2 z2) = getBox (unionR 0 (obj:objs)) + (V3 x y z) = V3 (x2-x1) (y2-y1) (z2-z1) + in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of + ONum qual | qual > 0 -> min (minimum [x,y,z]/2) ((x*y*z/qual)**(1/3) / 22) + _ -> min (minimum [x,y,z]/2) ((x*y*z)**(1/3) / 22) +estimateResolution (vars, obj:objs, _, _) = + -- ... Or use a resolution chosen for 2D objects. + -- FIXME: magic numbers. + let + (p1,p2) = getBox (unionR 0 (obj:objs)) + (V2 x y) = p2 .-. p1 + in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of + ONum qual | qual > 0 -> min (min x y/2) (sqrt(x*y/qual) / 30) + _ -> min (min x y/2) (sqrt(x*y) / 30) +estimateResolution _ = + -- fallthrough value. + 1 diff --git a/Graphics/Implicit/Export/Symbolic/Rebound2.hs b/Graphics/Implicit/Export/Symbolic/Rebound2.hs --- a/Graphics/Implicit/Export/Symbolic/Rebound2.hs +++ b/Graphics/Implicit/Export/Symbolic/Rebound2.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -6,7 +7,8 @@ import Graphics.Implicit.Definitions (BoxedObj2, ℝ2) -import Data.VectorSpace ((^-^), (^+^), (^/)) +import Prelude ((+), (-)) +import Linear ((^/)) -- | Slightly stretch the bounding box of an object, in order to -- ensure that during mesh generation, there are no problems because @@ -15,6 +17,6 @@ rebound2 (obj, (a,b)) = let d :: ℝ2 - d = (b ^-^ a) ^/ 10 + d = (b - a) ^/ 10 in - (obj, (a ^-^ d, b ^+^ d)) + (obj, (a - d, b + d)) diff --git a/Graphics/Implicit/Export/Symbolic/Rebound3.hs b/Graphics/Implicit/Export/Symbolic/Rebound3.hs --- a/Graphics/Implicit/Export/Symbolic/Rebound3.hs +++ b/Graphics/Implicit/Export/Symbolic/Rebound3.hs @@ -1,12 +1,13 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.Export.Symbolic.Rebound3 (rebound3) where +import Prelude ((-), (+)) import Graphics.Implicit.Definitions(BoxedObj3, ℝ3) - -import Data.VectorSpace((^-^), (^+^), (^/)) +import Linear ((^/)) -- | Slightly stretch the bounding box of an object, in order to -- ensure that during mesh generation, there are no problems because @@ -15,7 +16,7 @@ rebound3 (obj, (a,b)) = let d :: ℝ3 - d = (b ^-^ a) ^/ 10 + d = (b - a) ^/ 10 in - (obj, (a ^-^ d, b ^+^ d)) + (obj, (a - d, b + d)) diff --git a/Graphics/Implicit/Export/SymbolicFormats.hs b/Graphics/Implicit/Export/SymbolicFormats.hs --- a/Graphics/Implicit/Export/SymbolicFormats.hs +++ b/Graphics/Implicit/Export/SymbolicFormats.hs @@ -1,26 +1,29 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE -- FIXME: describe why we need this. {-# LANGUAGE OverloadedStrings #-} - --- allow us to select what package to import what module from. We don't care, but our examples do. -{-# LANGUAGE PackageImports #-} +{-# LANGUAGE ScopedTypeVariables #-} -- output SCAD code, AKA an implicitcad to openscad converter. module Graphics.Implicit.Export.SymbolicFormats (scad2, scad3) where -import Prelude(Either(Left, Right), ($), (*), ($!), (-), (/), pi, error, (+), (==), take, floor, (&&), const, pure, (<>), sequenceA, fmap, (<$>)) +import Prelude((.), fmap, Either(Left, Right), ($), (*), ($!), (-), (/), pi, error, (+), (==), take, floor, (&&), const, pure, (<>), sequenceA, (<$>)) -import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(RectR, Circle, PolygonR, Complement2, UnionR2, DifferenceR2, IntersectR2, Translate2, Scale2, Rotate2, Outset2, Shell2, EmbedBoxedObj2), SymbolicObj3(Rect3R, Sphere, Cylinder, Complement3, UnionR3, IntersectR3, DifferenceR3, Translate3, Scale3, Rotate3, Rotate3V, Outset3, Shell3, ExtrudeR, ExtrudeRotateR, ExtrudeRM, EmbedBoxedObj3, RotateExtrude, ExtrudeOnEdgeOf)) +import Graphics.Implicit.Definitions(ℝ, SymbolicObj2(Shared2, Square, Circle, Polygon, Rotate2, Transform2), SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeM, RotateExtrude, ExtrudeOnEdgeOf), 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 "monads-tf" Control.Monad.Reader (Reader, runReader, ask) +import Control.Monad.Reader (Reader, runReader, ask) +-- For constructing vectors of ℝs. +import Linear (V2(V2), V3(V3), V4(V4)) + import Data.List (intersperse) import Data.Function (fix) -import Data.Foldable(fold, foldMap) +import Data.Foldable(fold, foldMap, toList) +import Graphics.Implicit.ObjectUtil.GetBoxShared (VectorStuff(elements)) default (ℝ) @@ -37,7 +40,7 @@ -- | Format an openscad call given that all the modified objects are in the Reader monad... callToken :: (Text, Text) -> Builder -> [Builder] -> [Reader a Builder] -> Reader a Builder callToken cs name args [] = pure $ name <> buildArgs cs args <> ";" -callToken cs name args [obj] = fmap ((name <> buildArgs cs args) <>) obj +callToken cs name args [obj] = ((name <> buildArgs cs args) <>) <$> obj callToken cs name args objs = do objs' <- foldMap (<> "\n") <$> sequenceA objs pure $! name <> buildArgs cs args <> "{\n" <> objs' <> "}\n" @@ -52,49 +55,96 @@ callNaked :: Builder -> [Builder] -> [Reader a Builder] -> Reader a Builder callNaked = callToken ("", "") --- | First, the 3D objects. -buildS3 :: SymbolicObj3 -> Reader ℝ Builder +------------------------------------------------------------------------------ +-- | Class which allows us to build the contained objects in 'buildShared'. +class Build obj where + build :: obj -> Reader ℝ Builder -buildS3 (Rect3R r (x1,y1,z1) (x2,y2,z2)) | r == 0 = call "translate" [bf x1, bf y1, bf z1] [ - call "cube" [bf $ x2 - x1, bf $ y2 - y1, bf $ z2 - z1] [] - ] +instance Build SymbolicObj2 where + build = buildS2 -buildS3 (Sphere r) = callNaked "sphere" ["r = " <> bf r] [] +instance Build SymbolicObj3 where + build = buildS3 -buildS3 (Cylinder h r1 r2) = callNaked "cylinder" [ - "r1 = " <> bf r1 - ,"r2 = " <> bf r2 - , bf h - ] [] +------------------------------------------------------------------------------ +-- | Unpack a dimensionality-polymorphic vector into multiple arguments. +vectAsArgs :: VectorStuff vec => vec -> [Builder] +vectAsArgs = fmap bf . elements -buildS3 (Complement3 obj) = call "complement" [] [buildS3 obj] +------------------------------------------------------------------------------ +-- | Unpack a dimensionality-polymorphic vector into a single argument. +bvect :: VectorStuff vec => vec -> Builder +bvect v = "[" <> fold (intersperse "," $ vectAsArgs v) <> "]" -buildS3 (UnionR3 r objs) | r == 0 = call "union" [] $ fmap buildS3 objs +------------------------------------------------------------------------------ +-- | Build the common combinators. +buildShared :: forall obj f a. (Build obj, VectorStuff (f a)) => SharedObj obj f a -> Reader ℝ Builder -buildS3 (IntersectR3 r objs) | r == 0 = call "intersection" [] $ fmap buildS3 objs +buildShared Empty = call "union" [] [] -buildS3 (DifferenceR3 r objs) | r == 0 = call "difference" [] $ fmap buildS3 objs +buildShared Full = call "difference" [] [call "union" [] []] -buildS3 (Translate3 (x,y,z) obj) = call "translate" [bf x, bf y, bf z] [buildS3 obj] +buildShared (Complement obj) = call "complement" [] [build obj] -buildS3 (Scale3 (x,y,z) obj) = call "scale" [bf x, bf y, bf z] [buildS3 obj] +buildShared (UnionR r objs) | r == 0 = call "union" [] $ build <$> objs -buildS3 (Rotate3 (x,y,z) obj) = call "rotate" [bf (rad2deg x), bf (rad2deg y), bf (rad2deg z)] [buildS3 obj] +buildShared (IntersectR r objs) | r == 0 = call "intersection" [] $ build <$> objs -buildS3 Rotate3V{} = error "Rotate3V not implemented." +buildShared (DifferenceR r obj objs) | r == 0 = call "difference" [] $ build <$> obj : objs -buildS3 (Outset3 r obj) | r == 0 = call "outset" [] [buildS3 obj] +buildShared (Translate v obj) = call "translate" (bf <$> elements v) [build obj] -buildS3 (Shell3 r obj) | r == 0 = call "shell" [] [buildS3 obj] +buildShared (Scale v obj) = call "scale" (bf <$> elements v) [build obj] --- FIXME: where is EmbedBoxedObj3? +buildShared (Mirror v obj) = callNaked "mirror" [ "v=" <> bvect v ] [build obj] -buildS3 (ExtrudeR r obj h) | r == 0 = callNaked "linear_extrude" ["height = " <> bf h] [buildS2 obj] +-- NOTE(sandy): This @r == 0@ guard says we only emit "outset" if it has r = 0, +-- erroring otherwise saying "cannot provide roundness." But this is not +-- a roundness parameter! +buildShared (Outset r obj) | r == 0 = call "outset" [] [build obj] -buildS3 (ExtrudeRotateR r twist obj h) | r == 0 = callNaked "linear_extrude" ["height = " <> bf h, "twist = " <> bf twist] [buildS2 obj] +-- NOTE(sandy): This @r == 0@ guard says we only emit "shell" if it has r = 0, +-- erroring otherwise saying "cannot provide roundness." But this is not +-- a roundness parameter! +buildShared (Shell r obj) | r == 0 = call "shell" [] [build obj] +buildShared (WithRounding r obj) | r == 0 = build obj + +buildShared(UnionR _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared(IntersectR _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared(DifferenceR _ _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared(Outset _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared(Shell _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared(EmbedBoxedObj _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildShared (WithRounding _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." + +-- | First, the 3D objects. +buildS3 :: SymbolicObj3 -> Reader ℝ Builder + +buildS3 (Shared3 obj) = buildShared obj + +buildS3 (Cube (V3 w d h)) = call "cube" [bf w, bf d, bf h] [] + +buildS3 (Sphere r) = callNaked "sphere" ["r = " <> bf r] [] + +buildS3 (Cylinder h r1 r2) = callNaked "cylinder" [ + "r1 = " <> bf r1 + ,"r2 = " <> bf r2 + , bf h + ] [] +buildS3 (Rotate3 q obj) = + let (x,y,z) = quaternionToEuler q + in call "rotate" [bf (rad2deg x), bf (rad2deg y), bf (rad2deg z)] [buildS3 obj] + +buildS3 (Transform3 m obj) = + call "multmatrix" + ((\x -> "["<>x<>"]") . fold . intersperse "," . fmap bf . toList <$> toList m) + [buildS3 obj] + +buildS3 (Extrude obj h) = callNaked "linear_extrude" ["height = " <> bf h] [buildS2 obj] + -- FIXME: handle scale, center. -buildS3 (ExtrudeRM r twist (Left scale) (Left translate) obj (Left height)) | r == 0 && scale == 1 && translate == (0,0) = do +buildS3 (ExtrudeM twist scale (Left translate) obj (Left height)) |isScaleID scale && translate == V2 0 0 = do res <- ask let twist' = case twist of @@ -110,16 +160,7 @@ -- FIXME: where are RotateExtrude, ExtrudeOnEdgeOf? -buildS3 Rect3R{} = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(UnionR3 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(IntersectR3 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(DifferenceR3 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(Outset3 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(Shell3 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3 ExtrudeR{} = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3 ExtrudeRotateR {} = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3 ExtrudeRM{} = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS3(EmbedBoxedObj3 _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildS3 ExtrudeM{} = error "cannot provide roundness when exporting openscad; unsupported in target format." buildS3 RotateExtrude{} = error "cannot provide roundness when exporting openscad; unsupported in target format." buildS3(ExtrudeOnEdgeOf _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." @@ -127,42 +168,25 @@ buildS2 :: SymbolicObj2 -> Reader ℝ Builder -buildS2 (RectR r (x1,y1) (x2,y2)) | r == 0 = call "translate" [bf x1, bf y1] [ - call "cube" [bf $ x2 - x1, bf $ y2 - y1] [] - ] +buildS2 (Shared2 obj) = buildShared obj buildS2 (Circle r) = call "circle" [bf r] [] -buildS2 (PolygonR r points) | r == 0 = call "polygon" [buildVector [x,y] | (x,y) <- points] [] - where buildVector comps = "[" <> fold (intersperse "," $ fmap bf comps) <> "]" - -buildS2 (Complement2 obj) = call "complement" [] [buildS2 obj] - -buildS2 (UnionR2 r objs) | r == 0 = call "union" [] $ fmap buildS2 objs - -buildS2 (DifferenceR2 r objs) | r == 0 = call "difference" [] $ fmap buildS2 objs - -buildS2 (IntersectR2 r objs) | r == 0 = call "intersection" [] $ fmap buildS2 objs - -buildS2 (Translate2 (x,y) obj) = call "translate" [bf x, bf y] [buildS2 obj] - -buildS2 (Scale2 (x,y) obj) = call "scale" [bf x, bf y] [buildS2 obj] +buildS2 (Polygon points) = call "polygon" (fmap bvect points) [] buildS2 (Rotate2 r obj) = call "rotate" [bf (rad2deg r)] [buildS2 obj] -buildS2 (Outset2 r obj) | r == 0 = call "outset" [] [buildS2 obj] - -buildS2 (Shell2 r obj) | r == 0 = call "shell" [] [buildS2 obj] - --- Generate errors for rounding requests. OpenSCAD does not support rounding. -buildS2 RectR{} = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (PolygonR _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (UnionR2 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (DifferenceR2 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (IntersectR2 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (Outset2 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." -buildS2 (Shell2 _ _) = error "cannot provide roundness when exporting openscad; unsupported in target format." +buildS2 (Transform2 m obj) = + let toM44 (V3 (V3 a b c) (V3 d e f) (V3 g h i)) = + (V4 (V4 a b c 0) + (V4 d e f 0) + (V4 g h i 0) + (V4 0 0 0 1) + ) + in + call "multmatrix" + ((\x -> "["<>x<>"]") . fold . intersperse "," . fmap bf . toList <$> toList (toM44 m)) + [buildS2 obj] --- FIXME: missing EmbedBoxedObj2? -buildS2 (EmbedBoxedObj2 _) = error "EmbedBoxedObj2 not implemented." +buildS2 (Square (V2 w h)) = call "square" [bf w, bf h] [] diff --git a/Graphics/Implicit/Export/SymbolicObj2.hs b/Graphics/Implicit/Export/SymbolicObj2.hs --- a/Graphics/Implicit/Export/SymbolicObj2.hs +++ b/Graphics/Implicit/Export/SymbolicObj2.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -6,69 +7,37 @@ -- If it can't, it passes the puck to a marching-squares-like -- algorithm... -module Graphics.Implicit.Export.SymbolicObj2 (symbolicGetOrientedContour, symbolicGetContour, symbolicGetContourMesh) where - -import Prelude(fmap, ($), (-), (/), (+), (>), (*), reverse, cos, pi, sin, max, ceiling, (<$>)) - -import Graphics.Implicit.Definitions (ℝ, ℝ2, Fastℕ, SymbolicObj2(RectR, Circle, Translate2, Scale2), Polyline(Polyline), Polytri(Polytri), (⋯*), fromFastℕtoℝ) +module Graphics.Implicit.Export.SymbolicObj2 (symbolicGetContour) where -import Graphics.Implicit.Export.MarchingSquaresFill (getContourMesh) +import Prelude((==), pure, fmap, ($), (/), (+), (*), cos, pi, sin, max, ceiling) -import Graphics.Implicit.ObjectUtil (getImplicit2, getBox2) +import Graphics.Implicit.Definitions (objectRounding, ObjectContext, ℝ, ℝ2, Fastℕ, SymbolicObj2(Square, Circle, Shared2), SharedObj(Translate, Scale, WithRounding), Polyline(Polyline), (⋯*), fromFastℕtoℝ) -import Graphics.Implicit.Export.Symbolic.Rebound2 (rebound2) +import Linear ( V2(V2) ) import Graphics.Implicit.Export.Render (getContour) -import Data.VectorSpace ((^/), magnitude) - -symbolicGetOrientedContour :: ℝ -> SymbolicObj2 -> [Polyline] -symbolicGetOrientedContour res symbObj = orient <$> symbolicGetContour res symbObj - where - obj = getImplicit2 symbObj - -- FIXME: cowardly case handling. - orient :: Polyline -> Polyline - orient (Polyline points@(p1:p2:_)) = - let - v = (\(a,b) -> (b, -a)) (p2 - p1) - dv = v ^/ (magnitude v / res / 0.1) - in if obj (p1 + dv) - obj p1 > 0 - then Polyline points - else Polyline $ reverse points - orient (Polyline []) = Polyline [] - orient (Polyline [_]) = Polyline [] - -symbolicGetContour :: ℝ -> SymbolicObj2 -> [Polyline] -symbolicGetContour _ (RectR 0 (x1,y1) (x2,y2)) = [Polyline [ (x1,y1), (x2,y1), (x2,y2), (x1,y2), (x1,y1) ]] +symbolicGetContour :: ℝ -> ObjectContext -> SymbolicObj2 -> [Polyline] +symbolicGetContour _ ctx (Square (V2 dx dy)) + | objectRounding ctx == 0 = [Polyline [V2 0 0, V2 dx 0, V2 dx dy, V2 0 dy, V2 0 0]] -- FIXME: magic number. -symbolicGetContour res (Circle r) = [Polyline [ ( r*cos(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n), r*sin(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n) ) | m <- [0.. n] ]] where +symbolicGetContour res _ (Circle r) = + [ Polyline + [ V2 (r*cos(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n)) (r*sin(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n)) + | m <- [0.. n] + ] + ] + where n :: Fastℕ n = max 5 $ ceiling $ 2*pi*r/res -symbolicGetContour res (Translate2 v obj) = appOpPolylines (+ v) $ symbolicGetContour res obj -symbolicGetContour res (Scale2 s@(a,b) obj) = appOpPolylines (⋯* s) $ symbolicGetContour (res/sc) obj +symbolicGetContour res ctx (Shared2 (WithRounding r obj)) = symbolicGetContour res (ctx { objectRounding = r }) obj +symbolicGetContour res ctx (Shared2 (Translate v obj)) = appOpPolylines (+ v) $ symbolicGetContour res ctx obj +symbolicGetContour res ctx (Shared2 (Scale s@(V2 a b) obj)) = appOpPolylines (⋯* s) $ symbolicGetContour (res/sc) ctx obj where sc = max a b -symbolicGetContour res obj = case rebound2 (getImplicit2 obj, getBox2 obj) of - (obj', (a,b)) -> getContour a b (res,res) obj' +symbolicGetContour res _ obj = getContour (pure res) obj appOpPolylines :: (ℝ2 -> ℝ2) -> [Polyline] -> [Polyline] appOpPolylines op = fmap (appOpPolyline op) appOpPolyline :: (ℝ2 -> ℝ2) -> Polyline -> Polyline appOpPolyline op (Polyline xs) = Polyline $ fmap op xs -symbolicGetContourMesh :: ℝ -> SymbolicObj2 -> [Polytri] -symbolicGetContourMesh res (Translate2 v obj) = (\(Polytri (a,b,c)) -> Polytri (a + v, b + v, c + v)) <$> - symbolicGetContourMesh res obj -symbolicGetContourMesh res (Scale2 s@(a,b) obj) = (\(Polytri (c,d,e)) -> Polytri (c ⋯* s, d ⋯* s, e ⋯* s)) <$> - symbolicGetContourMesh (res/sc) obj where sc = max a b -symbolicGetContourMesh _ (RectR 0 (x1,y1) (x2,y2)) = [Polytri ((x1,y1), (x2,y1), (x2,y2)), Polytri ((x2,y2), (x1,y2), (x1,y1)) ] --- FIXME: magic number. -symbolicGetContourMesh res (Circle r) = - [ Polytri ((0,0), - (r*cos(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n), r*sin(2*pi*fromFastℕtoℝ m/fromFastℕtoℝ n)), - (r*cos(2*pi*fromFastℕtoℝ (m+1)/fromFastℕtoℝ n), r*sin(2*pi*fromFastℕtoℝ (m+1)/fromFastℕtoℝ n)) - )| m <- [0.. n-1] ] - where - n :: Fastℕ - n = max 5 $ ceiling $ 2*pi*r/res -symbolicGetContourMesh res obj = case rebound2 (getImplicit2 obj, getBox2 obj) of - (obj', (a,b)) -> getContourMesh a b (res,res) obj' diff --git a/Graphics/Implicit/Export/SymbolicObj3.hs b/Graphics/Implicit/Export/SymbolicObj3.hs --- a/Graphics/Implicit/Export/SymbolicObj3.hs +++ b/Graphics/Implicit/Export/SymbolicObj3.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -7,216 +8,35 @@ module Graphics.Implicit.Export.SymbolicObj3 (symbolicGetMesh) where -import Prelude(fmap, zip, length, filter, (>), ($), null, (<>), foldMap, (.)) +import Prelude(pure, zip, length, filter, (>), ($), null, (<>), foldMap, (.), (<$>)) -import Graphics.Implicit.Definitions (ℝ, ℝ3, SymbolicObj3(UnionR3), Triangle, TriangleMesh(TriangleMesh)) +import Graphics.Implicit.Definitions (ℝ, ℝ3, SymbolicObj3(Shared3), SharedObj(UnionR), TriangleMesh(TriangleMesh, getTriangles)) import Graphics.Implicit.Export.Render (getMesh) -import Graphics.Implicit.ObjectUtil (getBox3, getImplicit3) +import Graphics.Implicit.ObjectUtil (getBox3) import Graphics.Implicit.MathUtil(box3sWithin) -import Graphics.Implicit.Export.Symbolic.Rebound3 (rebound3) import Control.Arrow(first, second) symbolicGetMesh :: ℝ -> SymbolicObj3 -> TriangleMesh - -{-- --- A translated objects mesh is its mesh translated. -symbolicGetMesh res (Translate3 v obj) = - fmap (\(a,b,c) -> (a S.+ v, b S.+ v, c S.+ v) ) (symbolicGetMesh res obj) - --- A scaled objects mesh is its mesh scaled -symbolicGetMesh res (Scale3 s obj) = - let - mesh :: [(ℝ3, ℝ3, ℝ3)] - mesh = symbolicGetMesh res obj - scaleTriangle :: (ℝ3, ℝ3, ℝ3) -> (ℝ3, ℝ3, ℝ3) - scaleTriangle (a,b,c) = (s S.⋯* a, s S.⋯* b, s S.⋯* c) - in fmap scaleTriangle mesh - --- A couple triangles make a cube... -symbolicGetMesh _ (Rect3R 0 (x1,y1,z1) (x2,y2,z2)) = - let - square a b c d = [(a,b,c),(d,a,c)] - rsquare a b c d = [(c,b,a),(c,a,d)] - in - rsquare (x1,y1,z1) (x2,y1,z1) (x2,y2,z1) (x1,y2,z1) - <> square (x1,y1,z2) (x2,y1,z2) (x2,y2,z2) (x1,y2,z2) - <> square (x1,y1,z1) (x2,y1,z1) (x2,y1,z2) (x1,y1,z2) - <> rsquare (x1,y2,z1) (x2,y2,z1) (x2,y2,z2) (x1,y2,z2) - <> square (x1,y1,z1) (x1,y1,z2) (x1,y2,z2) (x1,y2,z1) - <> rsquare (x2,y1,z1) (x2,y1,z2) (x2,y2,z2) (x2,y2,z1) - --- Use spherical coordinates to create an easy tesselation of a sphere -symbolicGetMesh res (Sphere r) = half1 <> half2 - where - -- Convenience functions for mesh generation - square a b c d = [(a,b,c),(d,a,c)] - rsquare a b c d = [(c,b,a),(c,a,d)] - -- Number of steps of φ and θ respectivly - m = max 3 (fromIntegral $ ceiling $ 1.5*r/res) - n = 2*m - -- Spherical coordinates - spherical θ φ = (r*cos(θ), r*sin(θ)*cos(φ), r*sin(θ)*sin(φ)) - -- Function placing steps on sphere - f n' m' = spherical (2*pi*n'/n) (pi*m'/m) - -- Mesh in two pieces.. - half1 = fold [ square (f m1 m2) (f (m1+1) m2) (f (m1+1) (m2+1)) (f m1 (m2+1)) - | m1 <- [0.. m-1], m2 <- [0.. m-1] ] - half2 = fold [ rsquare (f m1 m2) (f (m1+1) m2) (f (m1+1) (m2+1)) (f m1 (m2+1)) - | m1 <- [m.. n-1], m2 <- [0.. m-1] ] - -{-symbolicGetMesh res (UnionR3 r [ExtrudeR ra obja ha, ExtrudeR rb objb hb]) - | ha == hb && ra == rb = symbolicGetMesh res $ ExtrudeR ra (UnionR2 r [obja, objb]) ha - -symbolicGetMesh res (UnionR3 r [ExtrudeR ra obja ha, ExtrudeR rb objb hb, ExtrudeR rc objc hc]) - | ha == hb && ha == hc && ra == rb && ra == rc = - symbolicGetMesh res $ ExtrudeR ra (UnionR2 r [obja, objb, objc]) ha-} - --- We can compute a mesh of a rounded, extruded object from it contour, --- contour filling trinagles, and magic. --- General approach: --- - generate sides by basically cross producting the contour. --- - generate the the top by taking the contour fill and --- calculating an appropriate z height. -symbolicGetMesh res (ExtrudeR r obj2 h) = - let - -- Get a Obj2 (magnitude descriptor object) - obj2mag :: ℝ2 -> ℝ -- Obj2 - obj2mag = getImplicit2 obj2 - -- The amount that a point (x,y) on the top should be lifted - -- from h-r. Because of rounding, the edges should be h-r, - -- but it should increase inwards. - dh x y = sqrt (r^2 - ( max 0 $ min r $ r+obj2mag (x,y))^2) - -- Turn a polyline into a list of its segments - segify (a:b:xs) = (a,b):(segify $ b:xs) - segify _ = [] - -- Flip a triangle. It's the same triangle with opposite handedness. - flipTri (a,b,c) = (a,c,b) - -- Turn a segment a--b into a list of triangles forming (a--b)×(r,h-r) - -- The dh stuff is to compensate for rounding errors, etc, and ensure that - -- the sides meet the top and bottom - segToSide (x1,y1) (x2,y2) = - [((x1,y1,r-dh x1 y1), (x2,y2,r-dh x2 y2), (x2,y2,h-r+dh x2 y2)), - ((x1,y1,r-dh x1 y1), (x2,y2,h-r+dh x2 y2), (x1,y1,h-r+dh x1 y1)) ] - -- Get a contour polyline for obj2, turn it into a list of segments - segs = foldMap segify $ symbolicGetOrientedContour res obj2 - -- Create sides for the main body of our object = segs × (r,h-r) - side_tris = foldMap (\(a,b) -> segToSide a b) segs - -- Triangles that fill the contour. Make sure the mesh is at least (res/5) fine. - -- --res/5 because xyres won't always match up with normal res and we need to compensate. - fill_tris = {-divideMeshTo (res/5) $-} symbolicGetContourMesh res obj2 - -- The bottom. Use dh to determine the z coordinates - bottom_tris = fmap flipTri $ [((a1,a2,r-dh a1 a2), (b1,b2,r - dh b1 b2), (c1,c2,r - dh c1 c2)) - | ((a1,a2),(b1,b2),(c1,c2)) <- fill_tris] - -- Same idea at the top. - top_tris = [((a1,a2,h-r+dh a1 a2), (b1,b2,h-r+dh b1 b2), (c1,c2,h-r+dh c1 c2)) - | ((a1,a2),(b1,b2),(c1,c2)) <- fill_tris] - in - -- Merge them all together! :) - side_tris <> bottom_tris <> top_tris - - -symbolicGetMesh res (ExtrudeRM r twist scale translate obj2 h) = - let - -- Get a Obj2 (magnitude descriptor object) - obj2mag :: Obj2 -- = ℝ2 -> ℝ - obj2mag = getImplicit2 obj2 - -- cleanup twist, scale, etc - twist' = Maybe.fromMaybe (const 0) twist - scale' = Maybe.fromMaybe (const 1) scale - translate' = Maybe.fromMaybe (const (0,0)) translate - h' = case h of - Left n -> const n - Right f -> f - -- The amount that a point (x,y) on the top should be lifted - -- from h-r. Because of rounding, the edges should be h-r, - -- but it should increase inwards. - dh x y = sqrt (r^2 - ( max 0 $ min r $ r+obj2mag (x,y))^2) - -- Turn a polyline into a list of its segments - segify (a:b:xs) = (a,b):(segify $ b:xs) - segify _ = [] - -- Flip a triangle. It's the same triangle with opposite handedness. - flipTri (a,b,c) = (a,c,b) - -- The number of steps we're going to do the sides in: - n = max 4 $ fromIntegral $ ceiling $ h' (0,0)/res - -- Turn a segment a--b into a list of triangles forming - -- (a--b)×(r+(h-2r)*m/n,r+(h-2r)*(m+1)/n) - -- The dh stuff is to compensate for rounding errors, etc, and ensure that - -- the sides meet the top and bottom - -- m is the number of n steps we are up from the base of the main section - segToSide m (x1,y1) (x2,y2) = - let - -- Change across the main body of the object, - -- at (x1,y1) and (x2,y2) respectivly - mainH1 = h' (x1, y1) - 2*r + 2*dh x1 y1 - mainH2 = h' (x2, y2) - 2*r + 2*dh x2 y2 - -- level a (lower) and level b (upper) - la1 = r-dh x1 y1 + mainH1*m/n - lb1 = r-dh x1 y1 + mainH1*(m+1)/n - la2 = r-dh x2 y2 + mainH2*m/n - lb2 = r-dh x2 y2 + mainH2*(m+1)/n - in - -- Resulting triangles: - [((x1,y1,la1), (x2,y2,la2), (x2,y2,lb2)), - ((x1,y1,la1), (x2,y2,lb2), (x1,y1,lb1)) ] - -- Get a contour polyline for obj2, turn it into a list of segments - segs = foldMap segify $ symbolicGetOrientedContour res obj2 - -- Create sides for the main body of our object = segs × (r,h-r) - -- Many layers... - side_tris = fmap flipTri $ fold $ - [foldMap (\(a,b) -> segToSide m a b) segs | m <- [0.. n-1] ] - -- Triangles that fill the contour. Make sure the mesh is at least (res/5) fine. - -- --res/5 because xyres won't always match up with normal res and we need to compensate. - fill_tris = {-divideMeshTo (res/5) $-} symbolicGetContourMesh res obj2 - -- The bottom. Use dh to determine the z coordinates - bottom_tris = [((a1,a2,r-dh a1 a2), (b1,b2,r - dh b1 b2), (c1,c2,r - dh c1 c2)) - | ((a1,a2),(b1,b2),(c1,c2)) <- fill_tris] - -- Same idea at the top. - top_tris = fmap flipTri $ [((a1,a2,h' (a1,a2) -r+dh a1 a2), (b1,b2,h' (b1,b2) -r+dh b1 b2), (c1,c2,h' (c1,c2)-r+dh c1 c2)) - | ((a1,a2),(b1,b2),(c1,c2)) <- fill_tris] - -- Mesh modifiers in individual components - k = 2*pi/360 - fx :: ℝ3 -> ℝ - fx (x,y,z) = let (tx,ty) = translate' z in - scale' z *((x+tx)*cos(k*twist' z) + (y+ty)*sin(k*twist' z)) - fy :: ℝ3 -> ℝ - fy (x,y,z) =let (tx,ty) = translate' z in - scale' z *((x+tx)*sin(k*twist' z) - (y+ty)*cos(k*twist' z)) - -- function to transform a triangle - transformTriangle :: (ℝ3,ℝ3,ℝ3) -> (ℝ3,ℝ3,ℝ3) - transformTriangle (a@(_,_,z1), b@(_,_,z2), c@(_,_,z3)) = - ((fx a, fy a, z1), (fx b, fy b, z2), (fx c, fy c, z3)) - - in - fmap transformTriangle (side_tris <> bottom_tris <> top_tris) --} - -symbolicGetMesh res inputObj@(UnionR3 r objs) = TriangleMesh $ +symbolicGetMesh res inputObj@(Shared3 (UnionR r objs)) = TriangleMesh $ let - boxes = fmap getBox3 objs + boxes = getBox3 <$> objs boxedObjs = zip boxes objs sepFree :: [((ℝ3, ℝ3), a)] -> ([a], [a]) sepFree ((box,obj):others) = if length (filter (box3sWithin r box) boxes) > 1 - then first ((:) obj) $ sepFree others - else second ((:) obj) $ sepFree others + then first (obj : ) $ sepFree others + else second (obj : ) $ sepFree others sepFree [] = ([],[]) (dependants, independents) = sepFree boxedObjs in if null independents - then case rebound3 (getImplicit3 inputObj, getBox3 inputObj) of - (obj, (a,b)) -> unmesh $ getMesh a b (res,res,res) obj - else if null dependants - then foldMap (unmesh . symbolicGetMesh res) independents - else foldMap (unmesh . symbolicGetMesh res) independents - <> unmesh (symbolicGetMesh res (UnionR3 r dependants)) - --- | If all that fails, coerce and apply marching cubes :( -symbolicGetMesh res obj = - -- Use rebound3 to stretch bounding box. - case rebound3 (getImplicit3 obj, getBox3 obj) of - (obj', (a,b)) -> getMesh a b (res,res,res) obj' + then getTriangles $ getMesh (pure res) inputObj + else if null dependants + then foldMap (getTriangles . symbolicGetMesh res) independents + else foldMap (getTriangles . symbolicGetMesh res) independents + <> getTriangles (symbolicGetMesh res (Shared3 (UnionR r dependants))) -unmesh :: TriangleMesh -> [Triangle] -unmesh (TriangleMesh m) = m +-- If all that fails, coerce and apply marching cubes :( +symbolicGetMesh res obj = getMesh (pure res) obj diff --git a/Graphics/Implicit/Export/TextBuilderUtils.hs b/Graphics/Implicit/Export/TextBuilderUtils.hs --- a/Graphics/Implicit/Export/TextBuilderUtils.hs +++ b/Graphics/Implicit/Export/TextBuilderUtils.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -33,7 +34,7 @@ toLazyText :: Builder -> Text toLazyText = toLazyTextWith defaultChunkSize --- | Serialize a float in full precision +-- | Serialize a value as a single precision float with an exponent attached. bf :: ℝ -> Builder bf value = formatRealFloat Exponent Nothing $ fromℝtoFloat value diff --git a/Graphics/Implicit/Export/TriangleMeshFormats.hs b/Graphics/Implicit/Export/TriangleMeshFormats.hs --- a/Graphics/Implicit/Export/TriangleMeshFormats.hs +++ b/Graphics/Implicit/Export/TriangleMeshFormats.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014, 2015, 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -8,38 +9,33 @@ -- This module exposes three functions, which convert a triangle mesh to an output file. module Graphics.Implicit.Export.TriangleMeshFormats (stl, binaryStl, jsTHREE) where -import Prelude (Float, Eq, Bool, ($), (+), (.), toEnum, length, zip, pure, (==), (||), (&&), filter, not, (<>)) +import Prelude ((-), Float, Eq, Bool, ($), (+), (.), toEnum, length, zip, pure, (==), (||), (&&), filter, not, (<>)) -import Graphics.Implicit.Definitions (Triangle(Triangle), TriangleMesh(TriangleMesh), ℕ, ℝ3, ℝ, fromℝtoFloat) +import Graphics.Implicit.Definitions (Triangle(Triangle), TriangleMesh(TriangleMesh, getTriangles), ℕ, ℝ3, ℝ, fromℝtoFloat) import Graphics.Implicit.Export.TextBuilderUtils (Text, Builder, toLazyText, bf, buildℕ) -import Blaze.ByteString.Builder (Write, writeStorable, toLazyByteString, fromByteString, fromWord32le, fromWord16le, fromWrite) -import qualified Data.ByteString.Builder.Internal as BI (Builder) +import Blaze.ByteString.Builder (toLazyByteString, fromByteString, fromWord32le, fromWord16le) +import qualified Data.ByteString.Builder as BI (Builder, floatLE) import Data.Foldable(fold, foldMap) import Data.ByteString (replicate) import Data.ByteString.Lazy (ByteString) -import Data.Storable.Endian (LittleEndian(LE)) -import Data.VectorSpace (normalized, (^-^)) -import Data.Cross (cross3) - -unmesh :: TriangleMesh -> [Triangle] -unmesh (TriangleMesh m) = m +import Linear (normalize, cross, V3(V3)) normal :: (ℝ3,ℝ3,ℝ3) -> ℝ3 normal (a,b,c) = - normalized $ (b ^-^ a) `cross3` (c ^-^ a) + normalize $ (b - a) `cross` (c - a) -- | Removes triangles that are empty when converting their positions to Float resolution. cleanupTris :: TriangleMesh -> TriangleMesh cleanupTris tris = let - floatPoint :: (ℝ, ℝ, ℝ) -> (Float, Float, Float) - floatPoint (a,b,c) = (toFloat a, toFloat b, toFloat c) + floatPoint :: V3 ℝ -> (Float, Float, Float) + floatPoint (V3 a b c) = (toFloat a, toFloat b, toFloat c) - -- | Does this triangle fail because it is constrained on two axises? + -- Does this triangle fail because it is constrained on two axises? isDegenerateTri2Axis :: Eq a => ((a, a, a),(a, a, a),(a, a, a)) -> Bool isDegenerateTri2Axis tri = (ysame tri && xsame tri) || (zsame tri && ysame tri) || (zsame tri && xsame tri) where @@ -52,21 +48,21 @@ zsame :: Eq a => ((a, a, a), (a, a, a), (a, a, a)) -> Bool zsame ((_,_,z1),(_,_,z2),(_,_,z3)) = same (z1, z2, z3) isDegenerateTri :: Triangle -> Bool - isDegenerateTri (Triangle (a, b, c)) = isDegenerateTri2Axis floatTri + isDegenerateTri (Triangle (a, b, c)) = isDegenerateTri2Axis floatTri where floatTri = (floatPoint a, floatPoint b, floatPoint c) - in TriangleMesh $ filter (not . isDegenerateTri) (unmesh tris) + in TriangleMesh $ filter (not . isDegenerateTri) (getTriangles tris) -- | Generate an STL file is ASCII format. stl :: TriangleMesh -> Text -stl triangles = toLazyText $ stlHeader <> foldMap triangle (unmesh $ cleanupTris triangles) <> stlFooter +stl triangles = toLazyText $ stlHeader <> foldMap triangle (getTriangles $ cleanupTris triangles) <> stlFooter where stlHeader :: Builder stlHeader = "solid ImplictCADExport\n" stlFooter :: Builder stlFooter = "endsolid ImplictCADExport\n" vector :: ℝ3 -> Builder - vector (x,y,z) = bf x <> " " <> bf y <> " " <> bf z + vector (V3 x y z) = bf x <> " " <> bf y <> " " <> bf z vertex :: ℝ3 -> Builder vertex v = "vertex " <> vector v triangle :: Triangle -> Builder @@ -82,18 +78,14 @@ toFloat :: ℝ -> Float toFloat = fromℝtoFloat --- | Write a 32-bit little-endian float to a buffer. -float32LE :: Float -> Write -float32LE = writeStorable . LE - -- | Generate an STL file in it's binary format. binaryStl :: TriangleMesh -> ByteString -binaryStl triangles = toLazyByteString $ header <> lengthField <> foldMap triangle (unmesh $ cleanupTris triangles) +binaryStl triangles = toLazyByteString $ header <> lengthField <> foldMap triangle (getTriangles $ cleanupTris triangles) where header = fromByteString $ replicate 80 0 - lengthField = fromWord32le $ toEnum $ length $ unmesh $ cleanupTris triangles + lengthField = fromWord32le $ toEnum $ length $ getTriangles $ cleanupTris triangles triangle (Triangle (a,b,c)) = normalV (a,b,c) <> point a <> point b <> point c <> fromWord16le 0 point :: ℝ3 -> BI.Builder - point (x,y,z) = fromWrite $ float32LE (toFloat x) <> float32LE (toFloat y) <> float32LE (toFloat z) + point (V3 x y z) = BI.floatLE (toFloat x) <> BI.floatLE (toFloat y) <> BI.floatLE (toFloat z) normalV ps = point $ normal ps jsTHREE :: TriangleMesh -> Text @@ -115,7 +107,7 @@ <> "Shape.prototype.constructor = Shape;\n" -- A vertex line; v (0.0, 0.0, 1.0) = "v(0.0,0.0,1.0);\n" v :: ℝ3 -> Builder - v (x,y,z) = "v(" <> bf x <> "," <> bf y <> "," <> bf z <> ");\n" + v (V3 x y z) = "v(" <> bf x <> "," <> bf y <> "," <> bf z <> ");\n" -- A face line f :: ℕ -> ℕ -> ℕ -> Builder f posa posb posc = @@ -123,12 +115,12 @@ verts = do -- extract the vertices for each triangle -- recall that a normed triangle is of the form ((vert, norm), ...) - (Triangle (a,b,c)) <- unmesh $ cleanupTris triangles + (Triangle (a,b,c)) <- getTriangles $ cleanupTris triangles -- The vertices from each triangle take up 3 position in the resulting list [a,b,c] vertcode = foldMap v verts facecode = fold $ do - (n,_) <- zip [0, 3 ..] $ unmesh $ cleanupTris triangles + (n,_) <- zip [0, 3 ..] $ getTriangles $ cleanupTris triangles let (posa, posb, posc) = (n, n+1, n+2) :: (ℕ, ℕ, ℕ) pure $ f posa posb posc diff --git a/Graphics/Implicit/Export/Util.hs b/Graphics/Implicit/Export/Util.hs --- a/Graphics/Implicit/Export/Util.hs +++ b/Graphics/Implicit/Export/Util.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -9,29 +10,29 @@ module Graphics.Implicit.Export.Util (normTriangle, normVertex, centroid) where -import Prelude(Fractional, (/), (-), ($), foldl, realToFrac, length) +import Prelude(Num, Applicative, Foldable, pure, (+), Fractional, (/), (-), realToFrac, length) import Graphics.Implicit.Definitions (ℝ, ℝ3, Obj3, Triangle(Triangle), NormedTriangle(NormedTriangle)) - -import Data.VectorSpace (VectorSpace, Scalar, (^+^), (*^), (^/), (^-^), normalized, zeroV) +import Linear ((*^), (^/), normalize, V3(V3)) +import Data.List (foldl') --- | Change the default for bare numbers in this file. +-- Change the default for bare numbers in this file. default (ℝ) -- FIXME: magic numbers. normTriangle :: ℝ -> Obj3 -> Triangle -> NormedTriangle normTriangle res obj (Triangle (a,b,c)) = - NormedTriangle (normify a', normify b', normify c') + NormedTriangle ((a, normify a'), (b, normify b'), (c, normify c')) where normify = normVertex res obj - a' = (a ^+^ r*^b ^+^ r*^c) ^/ 1.02 - b' = (b ^+^ r*^a ^+^ r*^c) ^/ 1.02 - c' = (c ^+^ r*^b ^+^ r*^a) ^/ 1.02 + a' = (a + r*^b + r*^c) ^/ 1.02 + b' = (b + r*^a + r*^c) ^/ 1.02 + c' = (c + r*^b + r*^a) ^/ 1.02 r :: ℝ r = 0.01 -- FIXME: magic numbers. -normVertex :: ℝ -> Obj3 -> ℝ3 -> (ℝ3, ℝ3) +normVertex :: ℝ -> Obj3 -> ℝ3 -> ℝ3 normVertex res obj p = let -- D_vf(p) = ( f(p) - f(p+v) ) /|v| @@ -40,77 +41,14 @@ -- and is fixed at p -- so actually: d v = ... d :: ℝ3 -> ℝ - d v = ( obj (p ^+^ (res/100)*^v) - obj (p ^-^ (res/100)*^v) ) / (res/50) - dx = d (1, 0, 0) - dy = d (0, 1, 0) - dz = d (0, 0, 1) - in (p, normalized (dx,dy,dz)) + d v = ( obj (p + (res/100)*^v) - obj (p - (res/100)*^v) ) / (res/50) + dx = d (V3 1 0 0) + dy = d (V3 0 1 0) + dz = d (V3 0 0 1) + in normalize (V3 dx dy dz) -- Get a centroid of a series of points. -centroid :: (VectorSpace v, Fractional (Scalar v)) => [v] -> v -centroid pts = foldl (^+^) zeroV pts ^/ (realToFrac $ length pts) +centroid :: (Fractional a, Foldable t, Applicative f, Num (f a)) => t (f a) -> f a +centroid pts = foldl' (+) (pure 0) pts ^/ realToFrac (length pts) {-# INLINABLE centroid #-} -{- - --- If we need to make a 2D mesh finer... -divideMesh2To :: ℝ -> [(ℝ2, ℝ2, ℝ2)] -> [(ℝ2, ℝ2, ℝ2)] -divideMesh2To res mesh = - let - av :: ℝ2 -> ℝ2 -> ℝ2 - av a b = (a S.+ b) S./ (2.0 :: ℝ) - divideTriangle :: (ℝ2, ℝ2, ℝ2) -> [(ℝ2, ℝ2, ℝ2)] - divideTriangle (a,b,c) = - case (S.norm (a S.- b) > res, S.norm (b S.- c) > res, S.norm (c S.- a) > res) of - (False, False, False) -> [(a,b,c)] - (True, False, False) -> [(a, av a b, c), - (av a b, b, c) ] - (True, True, False) -> [(a, av a b, av a c), - (av a b, b, av a c), - (b, c, av a c)] - (True, True, True ) -> [(a, av a b, av a c), - (b, av b c, av b a), - (c, av c a, av c b), - (av b c, av a c, av a b)] - (_,_,_) -> divideTriangle (c, a, b) - in - foldMap divideTriangle mesh - -divideMeshTo :: ℝ -> [(ℝ3, ℝ3, ℝ3)] -> [(ℝ3, ℝ3, ℝ3)] -divideMeshTo res mesh = - let - av :: ℝ3 -> ℝ3 -> ℝ3 - av a b = (a S.+ b) S./ (2.0 :: ℝ) - divideTriangle :: (ℝ3, ℝ3, ℝ3) -> [(ℝ3, ℝ3, ℝ3)] - divideTriangle (a,b,c) = - case (S.norm (a S.- b) > res, S.norm (b S.- c) > res, S.norm (c S.- a) > res) of - (False, False, False) -> [(a,b,c)] - (True, False, False) -> [(a, av a b, c), - (av a b, b, c) ] - (True, True, False) -> [(a, av a b, av a c), - (av a b, b, av a c), - (b, c, av a c)] - (True, True, True ) -> [(a, av a b, av a c), - (b, av b c, av b a), - (c, av c a, av c b), - (av b c, av a c, av a b)] - (_,_,_) -> divideTriangle (c, a, b) - in - foldMap divideTriangle mesh - -dividePolylineTo :: ℝ -> [ℝ2] -> [ℝ2] -dividePolylineTo res polyline = - let - av :: ℝ2 -> ℝ2 -> ℝ2 - av a b = (a S.+ b) S./ (2.0 :: ℝ) - divide a b = - if S.norm (a S.- b) <= res - then [a] - else divide a (av a b) <> divide (av a b) b - n = length polyline - in do - m <- [0.. n] - if m /= n - then divide (polyline !! m) (polyline !! (m+1)) - else [polyline !! n] --} diff --git a/Graphics/Implicit/ExtOpenScad.hs b/Graphics/Implicit/ExtOpenScad.hs --- a/Graphics/Implicit/ExtOpenScad.hs +++ b/Graphics/Implicit/ExtOpenScad.hs @@ -1,15 +1,12 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} - -- An executor, which parses openscad code, and executes it. module Graphics.Implicit.ExtOpenScad (runOpenscad) where -import Prelude(String, IO, ($), (<$>), pure, either, (.), Applicative) +import Prelude(String, IO, ($), (<$>), pure, either, (.), Applicative, Bool(True)) import Graphics.Implicit.Definitions (SymbolicObj2, SymbolicObj3) @@ -27,16 +24,18 @@ import Text.Parsec.Error (errorPos, errorMessages, showErrorMessages, ParseError) -import "monads-tf" Control.Monad.State.Lazy (runStateT) +import Control.Monad.State.Lazy (runStateT) import System.Directory (getCurrentDirectory) import Data.Foldable (traverse_) +import Data.Text.Lazy (pack) + -- | Small wrapper of our parser to handle parse errors, etc. runOpenscad :: ScadOpts -> [String] -> String -> IO (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) runOpenscad scadOpts constants source = do - (initialObjects, initialMessages) <- addConstants constants + (initialObjects, initialMessages) <- addConstants constants True let err :: Applicative f => ParseError -> f (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) err e = pure (initialObjects, [], [], mesg e : initialMessages) @@ -52,4 +51,4 @@ let (obj2s, obj3s, _) = divideObjs $ oVals s in (scadVars s, obj2s, obj3s, messages s) show' = showErrorMessages "or" "unknown parse error" "expecting" "unexpected" "end of input" . errorMessages - mesg e = Message SyntaxError (sourcePosition $ errorPos e) $ show' e + mesg e = Message SyntaxError (sourcePosition $ errorPos e) $ pack $ show' e diff --git a/Graphics/Implicit/ExtOpenScad/Default.hs b/Graphics/Implicit/ExtOpenScad/Default.hs --- a/Graphics/Implicit/ExtOpenScad/Default.hs +++ b/Graphics/Implicit/ExtOpenScad/Default.hs @@ -1,45 +1,61 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} +-- Allow us to use string literals to represent Text. +{-# LANGUAGE OverloadedStrings #-} +-- Allow the use of \case +{-# LANGUAGE LambdaCase #-} + module Graphics.Implicit.ExtOpenScad.Default (defaultObjects) where -- be explicit about where we pull things in from. -import Prelude (String, Bool(True, False), Maybe(Just, Nothing), ($), (<>), fmap, pi, sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, abs, signum, fromInteger, (.), floor, ceiling, round, exp, log, sqrt, max, min, atan2, (**), flip, (<), (>), (<=), (>=), (==), (/=), (&&), (||), not, show, foldl, (*), (/), mod, (+), zipWith, (-), otherwise, id, foldMap) +import Prelude (Bool(True, False), Maybe(Just, Nothing), ($), (<>), (<$>), fmap, pi, sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, abs, signum, fromInteger, (.), floor, ceiling, round, exp, log, sqrt, max, min, atan2, (**), flip, (<), (>), (<=), (>=), (==), (/=), (&&), (||), not, show, foldl, (*), (/), mod, (+), zipWith, (-), otherwise, id, foldMap, fromIntegral) import Graphics.Implicit.Definitions (ℝ, ℕ) + import Graphics.Implicit.ExtOpenScad.Definitions (VarLookup(VarLookup), OVal(OBool, OList, ONum, OString, OUndefined, OError, OFunc, OVargsModule), Symbol(Symbol), StateC, StatementI, SourcePosition, MessageType(TextOut, Warning), ScadOpts(ScadOpts)) + import Graphics.Implicit.ExtOpenScad.Util.OVal (toOObj, oTypeStr) + import Graphics.Implicit.ExtOpenScad.Primitives (primitiveModules) + import Graphics.Implicit.ExtOpenScad.Util.StateC (scadOptions, modifyVarLookup, addMessage) + +import Data.Int (Int64) + import Data.Map (Map, fromList, insert) -import Data.List (genericIndex, genericLength, intercalate) + +import Data.List (genericIndex, genericLength) + import Data.Foldable (for_) -defaultObjects :: VarLookup -defaultObjects = VarLookup $ fromList $ +import qualified Data.Text.Lazy as TL (index) + +import Data.Text.Lazy (Text, intercalate, unpack, pack, length, singleton) + +defaultObjects :: Bool -> VarLookup +defaultObjects withCSG = VarLookup $ fromList $ defaultConstants <> defaultFunctions <> defaultFunctions2 <> defaultFunctionsSpecial <> defaultPolymorphicFunctions - <> primitiveModules + <> (if withCSG then primitiveModules else []) <> varArgModules -- FIXME: Missing standard ones(which standard?): -- rand, lookup, defaultConstants :: [(Symbol, OVal)] -defaultConstants = fmap (\(a,b) -> (a, toOObj (b :: ℝ) )) +defaultConstants = (\(a,b) -> (a, toOObj (b :: ℝ))) <$> [(Symbol "pi", pi), (Symbol "PI", pi)] defaultFunctions :: [(Symbol, OVal)] -defaultFunctions = fmap (\(a,b) -> (a, toOObj ( b :: ℝ -> ℝ))) +defaultFunctions = (\(a,b) -> (a, toOObj ( b :: ℝ -> ℝ))) <$> [ (Symbol "sin", sin), (Symbol "cos", cos), @@ -63,7 +79,7 @@ ] defaultFunctions2 :: [(Symbol, OVal)] -defaultFunctions2 = fmap (\(a,b) -> (a, toOObj (b :: ℝ -> ℝ -> ℝ) )) +defaultFunctions2 = (\(a,b) -> (a, toOObj (b :: ℝ -> ℝ -> ℝ))) <$> [ (Symbol "max", max), (Symbol "min", min), @@ -86,23 +102,24 @@ ,modVal "for" for ,modVal "color" executeSuite ] where - modVal name func = (Symbol name, OVargsModule name func) + modVal name func = (Symbol name, OVargsModule (Symbol name) func) -- execute only the child statement, without doing anything else. Useful for unimplemented functions. - executeSuite :: String -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () - executeSuite name pos _ suite runSuite = do + executeSuite :: Symbol -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () + executeSuite (Symbol name) pos _ suite runSuite = do addMessage Warning pos $ "Module " <> name <> " not implemented" runSuite suite - echo :: String -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () + echo :: Symbol -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () echo _ pos args suite runSuite = do scadOpts <- scadOptions let - text :: [(Maybe Symbol, OVal)] -> String - text a = intercalate ", " $ fmap show' a - show' :: (Maybe Symbol, OVal) -> String - show' (Nothing, arg) = show arg - show' (Just (Symbol var), arg) = var <> " = " <> show arg + text :: [(Maybe Symbol, OVal)] -> Text + text a = intercalate ", " $ show' <$> a + show' :: (Maybe Symbol, OVal) -> Text + show' (Nothing, arg) = pack $ show arg + show' (Just (Symbol var), arg) = var <> " = " <> pack (show arg) + showe' :: (Maybe Symbol, OVal) -> Text showe' (Nothing, OString arg) = arg showe' (Just (Symbol var), arg) = var <> " = " <> showe' (Nothing, arg) showe' a = show' a @@ -113,17 +130,17 @@ addMessage TextOut pos formattedMessage runSuite suite - for :: String -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () + for :: Symbol -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC () for _ _ args suite runSuite = for_ (iterator args) $ \iter -> do modifyVarLookup iter runSuite suite where - -- | convert a list of arguments into a list of functions to transform the VarLookup with new bindings for each possible iteration. + -- convert a list of arguments into a list of functions to transform the VarLookup with new bindings for each possible iteration. iterator :: [(Maybe Symbol, OVal)] -> [VarLookup -> VarLookup] iterator [] = [id] iterator ((Nothing, _):iterators) = iterator iterators - iterator ((Just var, vals):iterators) = [outer . varify inner | inner <- fmap (insert var) (valsList vals), outer <- iterator iterators] + iterator ((Just var, vals):iterators) = [outer . varify inner | inner <- insert var <$> valsList vals, outer <- iterator iterators] -- convert the loop iterator variable's expression value to a list (possibly of one value) valsList :: OVal -> [OVal] valsList v@(OBool _) = [v] @@ -139,7 +156,7 @@ defaultPolymorphicFunctions :: [(Symbol, OVal)] defaultPolymorphicFunctions = [ - (Symbol "+", sumtotal), + (Symbol "+", toOObj add), (Symbol "sum", sumtotal), (Symbol "*", prod), (Symbol "prod", prod), @@ -163,20 +180,20 @@ (Symbol "list_gen", toOObj list_gen), (Symbol "<>", concatenate), (Symbol "len", toOObj olength), - (Symbol "str", toOObj (show :: OVal -> String)) + (Symbol "str", toOObj (pack.show :: OVal -> Text)) ] where -- Some key functions are written as OVals in optimizations attempts - prod = OFunc $ \x -> case x of + prod = OFunc $ \case (OList (y:ys)) -> foldl mult y ys (OList []) -> ONum 1 - (ONum a) -> OFunc $ \y -> case y of + (ONum a) -> OFunc $ \case (OList []) -> ONum a (OList n) -> mult (ONum a) (OList n) (ONum b) -> mult (ONum a) (ONum b) - _ -> OError ["prod takes only lists or nums"] - _ -> OError ["prod takes only lists or nums"] + _ -> OError "prod takes only lists or nums" + _ -> OError "prod takes only lists or nums" mult (ONum a) (ONum b) = ONum (a*b) mult (ONum a) (OList b) = OList (fmap (mult (ONum a)) b) @@ -184,11 +201,11 @@ mult (OList a) (OList b) = OList $ zipWith mult a b mult a b = errorAsAppropriate "product" a b - divide = OFunc $ \x -> case x of - (ONum a) -> OFunc $ \y -> case y of + divide = OFunc $ \case + (ONum a) -> OFunc $ \case (ONum b) -> ONum (a/b) b -> errorAsAppropriate "divide" (ONum a) b - a -> OFunc $ \y -> case y of + a -> OFunc $ \case b -> div' a b div' (ONum a) (ONum b) = ONum (a/b) @@ -198,24 +215,24 @@ omod (ONum a) (ONum b) = ONum . fromInteger $ mod (floor a) (floor b) omod a b = errorAsAppropriate "mod" a b - concatenate = OFunc $ \x -> case x of + concatenate = OFunc $ \case (OList (y:ys)) -> foldl append y ys (OList []) -> OList [] - _ -> OError ["concat takes a list"] + _ -> OError "concat takes a list" append (OList a) (OList b) = OList $ a<>b append (OString a) (OString b) = OString $ a<>b append a b = errorAsAppropriate "concat" a b - sumtotal = OFunc $ \x -> case x of + sumtotal = OFunc $ \case (OList (y:ys)) -> foldl add y ys (OList []) -> ONum 0 - (ONum a) -> OFunc $ \y -> case y of + (ONum a) -> OFunc $ \case (OList []) -> ONum a (OList n) -> add (ONum a) (OList n) (ONum b) -> add (ONum a) (ONum b) - _ -> OError ["sum takes two lists or nums"] - _ -> OError ["sum takes two lists or nums"] + _ -> OError "sum takes two lists or nums" + _ -> OError "sum takes two lists or nums" add (ONum a) (ONum b) = ONum (a+b) add (ONum a) (OList b) = OList (fmap (add (ONum a)) b) @@ -228,44 +245,38 @@ sub a b = errorAsAppropriate "subtract" a b negatefun (ONum n) = ONum (-n) - negatefun (OList l) = OList $ fmap negatefun l - negatefun a = OError ["Can't negate " <> oTypeStr a <> "(" <> show a <> ")"] - - {-numCompareToExprCompare :: (ℝ -> ℝ -> Bool) -> Oval -> OVal -> Bool - numCompareToExprCompare f a b = - case (fromOObj a :: Maybe ℝ, fromOObj b :: Maybe ℝ) of - (Just a, Just b) -> f a b - _ -> False-} + negatefun (OList l) = OList $ negatefun <$> l + negatefun a = OError $ "Can't negate " <> oTypeStr a <> "(" <> pack (show a) <> ")" index (OList l) (ONum ind) = let n :: ℕ n = floor ind in - if n < genericLength l then l `genericIndex` n else OError ["List accessd out of bounds"] + if n < genericLength l then l `genericIndex` n else OError "List accessed out of bounds" index (OString s) (ONum ind) = let - n :: ℕ + n :: Int64 n = floor ind - in if n < genericLength s then OString [s `genericIndex` n] else OError ["List accessd out of bounds"] + in if n < length s then OString (singleton (TL.index s n)) else OError "List accessed out of bounds" index a b = errorAsAppropriate "index" a b osplice (OList list) (ONum a) ( ONum b ) = OList $ splice list (floor a) (floor b) osplice (OString str) (ONum a) ( ONum b ) = - OString $ splice str (floor a) (floor b) + OString . pack $ splice (unpack str) (floor a) (floor b) osplice (OList list) OUndefined (ONum b ) = OList $ splice list 0 (floor b) osplice (OString str) OUndefined (ONum b ) = - OString $ splice str 0 (floor b) + OString . pack $ splice (unpack str) 0 (floor b) osplice (OList list) (ONum a) OUndefined = OList $ splice list (floor a) (genericLength list + 1) osplice (OString str) (ONum a) OUndefined = - OString $ splice str (floor a) (genericLength str + 1) + OString . pack $ splice (unpack str) (floor a) (fromIntegral $ length str + 1) osplice (OList list) OUndefined OUndefined = OList $ splice list 0 (genericLength list + 1) osplice (OString str) OUndefined OUndefined = - OString $ splice str 0 (genericLength str + 1) + OString . pack $ splice (unpack str) 0 (fromIntegral $ length str + 1) osplice _ _ _ = OUndefined splice :: [a] -> ℕ -> ℕ -> [a] @@ -282,27 +293,25 @@ errorAsAppropriate _ err@(OError _) _ = err errorAsAppropriate _ _ err@(OError _) = err - errorAsAppropriate name a b = OError - ["Can't " <> name <> " objects of types " <> oTypeStr a <> " and " <> oTypeStr b <> "."] + errorAsAppropriate name a b = OError $ + "Can't " <> name <> " objects of types " <> oTypeStr a <> " and " <> oTypeStr b <> "." list_gen :: [ℝ] -> Maybe [ℝ] - list_gen [a, b] = Just $ fmap fromInteger [(ceiling a).. (floor b)] + list_gen [a, b] = Just $ fromInteger <$> [(ceiling a).. (floor b)] list_gen [a, b, c] = let nr = (c-a)/b n :: ℝ n = fromInteger (floor nr) in if nr - n > 0 - then Just $ fmap fromInteger - [(ceiling a), (ceiling (a+b)).. (floor (c - b*(nr -n)))] - else Just $ fmap fromInteger - [(ceiling a), (ceiling (a+b)).. (floor c)] + then Just $ fromInteger <$> [(ceiling a), (ceiling (a+b)).. (floor (c - b*(nr -n)))] + else Just $ fromInteger <$> [(ceiling a), (ceiling (a+b)).. (floor c)] list_gen _ = Nothing ternary :: Bool -> t -> t -> t ternary True a _ = a ternary False _ b = b - olength (OString s) = ONum $ genericLength s + olength (OString s) = ONum $ fromIntegral $ length s olength (OList s) = ONum $ genericLength s - olength a = OError ["Can't take length of a " <> oTypeStr a <> "."] + olength a = OError $ "Can't take length of a " <> oTypeStr a <> "." diff --git a/Graphics/Implicit/ExtOpenScad/Definitions.hs b/Graphics/Implicit/ExtOpenScad/Definitions.hs --- a/Graphics/Implicit/ExtOpenScad/Definitions.hs +++ b/Graphics/Implicit/ExtOpenScad/Definitions.hs @@ -1,12 +1,14 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- Allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} -module Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP, APTest, APBranch, APTerminator, APFailIf, APExample), +{-# LANGUAGE DeriveFunctor #-} + +module Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP, APTest, APBranch, APTerminator, APFail, APExample), Symbol(Symbol), Pattern(Wild, Name, ListP), Expr(LitE, Var, ListE, LamE, (:$)), @@ -25,54 +27,51 @@ varUnion ) where -import Prelude(Eq, Show, Ord, String, Maybe(Just), Bool(True, False), IO, FilePath, (==), show, ($), (<>), undefined, and, zipWith, foldl1, Int) +import Prelude(Eq, Show, Ord, Maybe(Just), Bool(True, False), IO, FilePath, (==), show, ($), (<>), and, zipWith, Int, (<$>)) -- Resolution of the world, Integer type, and symbolic languages for 2D and 3D objects. import Graphics.Implicit.Definitions (ℝ, ℕ, Fastℕ, SymbolicObj2, SymbolicObj3, fromFastℕ) import Control.Applicative (Applicative, Alternative((<|>), empty), pure, (<*>)) -import Control.Monad (Functor, Monad, fmap, (>>=), mzero, mplus, MonadPlus, liftM, ap, return, (>=>)) +import Control.Monad (Functor, Monad, (>>=), mzero, mplus, MonadPlus, ap, (>=>)) +import Data.Default.Class (Default(def)) + import Data.Map (Map, lookup, union) import Data.Maybe (fromMaybe) -import Data.List (intercalate) +import Data.Text.Lazy (Text, unpack, intercalate) -import "monads-tf" Control.Monad.State (StateT) +import Control.Monad.State (StateT) --- | This is the state of a computation. It contains a hash of variables/functions, an array of OVals, a path, messages, and options controlling code execution. +-- | The state of computation. data CompState = CompState - { scadVars :: VarLookup - , oVals :: [OVal] - , sourceDir :: FilePath - , messages :: [Message] - , scadOpts :: ScadOpts - } + { scadVars :: VarLookup -- ^ A hash of variables and functions. + , oVals :: [OVal] -- ^ The result of geometry generating functions. + , sourceDir :: FilePath -- ^ The path we are looking for includes in. + , messages :: [Message] -- ^ Output strings, warnings, and errors generated during execution. + , scadOpts :: ScadOpts -- ^ Options controlling the execution of scad code. + } deriving (Show) type StateC = StateT CompState IO -- | Handles parsing arguments to built-in modules data ArgParser a - -- | For actual argument entries: - -- ArgParser (argument name) (default) (doc) (next Argparser...) - = AP Symbol (Maybe OVal) String (OVal -> ArgParser a) - -- | For returns: - -- ArgParserTerminator (return value) + = AP Symbol (Maybe OVal) Text (OVal -> ArgParser a) + -- ^ For actual argument entries: @AP (argument name) (default) (doc) (next Argparser...)@ | APTerminator a - -- | For failure: - -- ArgParserFailIf (test) (error message) (child for if true) - | APFailIf Bool String (ArgParser a) - -- An example, then next - | APExample String (ArgParser a) - -- A string to run as a test, then invariants for the results, then next - | APTest String [TestInvariant] (ArgParser a) - -- A branch where there are a number of possibilities for the parser underneath + -- ^ For returns: @APTerminator (return value)@ + | APFail Text + -- ^ For failure: @APFail (error message)@ + | APExample Text (ArgParser a) + -- ^ An example, then next + | APTest Text [TestInvariant] (ArgParser a) + -- ^ A string to run as a test, then invariants for the results, then next | APBranch [ArgParser a] - -instance Functor ArgParser where - fmap = liftM + -- ^ A branch where there are a number of possibilities for the parser underneath + deriving Functor instance Applicative ArgParser where pure = APTerminator @@ -83,17 +82,16 @@ -- Let's get the hard ones out of the way first. -- ArgParser actually (AP str fallback d f) >>= g = AP str fallback d (f >=> g) - (APFailIf b errmsg child) >>= g = APFailIf b errmsg (child >>= g) + (APFail errmsg) >>= _ = APFail errmsg -- These next two are easy, they just pass the work along to their child (APExample str child) >>= g = APExample str (child >>= g) (APTest str tests child) >>= g = APTest str tests (child >>= g) -- And an ArgParserTerminator happily gives away the value it contains (APTerminator a) >>= g = g a - (APBranch bs) >>= g = APBranch $ fmap (>>= g) bs - return = pure + (APBranch bs) >>= g = APBranch $ (>>= g) <$> bs instance MonadPlus ArgParser where - mzero = APFailIf True "" undefined + mzero = APFail "" mplus (APBranch as) (APBranch bs) = APBranch ( as <> bs ) mplus (APBranch as) b = APBranch ( as <> [b] ) mplus a (APBranch bs) = APBranch ( a : bs ) @@ -103,10 +101,11 @@ (<|>) = mplus empty = mzero -newtype Symbol = Symbol String +newtype Symbol = Symbol Text deriving (Show, Eq, Ord) newtype VarLookup = VarLookup (Map Symbol OVal) + deriving (Show, Eq) data Pattern = Name Symbol | ListP [Pattern] @@ -125,7 +124,7 @@ data StatementI = StatementI SourcePosition (Statement StatementI) deriving (Show, Eq) -data Statement st = Include String Bool +data Statement st = Include Text Bool | Pattern := Expr | If Expr [st] [st] | NewModule Symbol [(Symbol, Maybe Expr)] [st] @@ -135,17 +134,17 @@ -- | Objects for our OpenSCAD-like language data OVal = OUndefined - | OError [String] + | OError Text | OBool Bool | ONum ℝ | OList [OVal] - | OString String + | OString Text | OFunc (OVal -> OVal) -- Name, arguments, argument parsers. - | OUModule Symbol (Maybe [(Symbol, Bool)]) ([OVal] -> ArgParser (StateC [OVal])) + | OUModule Symbol (Maybe [(Symbol, Bool)]) (VarLookup -> ArgParser (StateC [OVal])) -- Name, implementation, arguments, whether the module accepts/requires a suite. | ONModule Symbol (SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) [([(Symbol, Bool)], Maybe Bool)] - | OVargsModule String (String -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC ()) + | OVargsModule Symbol (Symbol -> SourcePosition -> [(Maybe Symbol, OVal)] -> [StatementI] -> ([StatementI] -> StateC ()) -> StateC ()) | OObj3 SymbolicObj3 | OObj2 SymbolicObj2 @@ -154,6 +153,7 @@ (ONum a) == (ONum b) = a == b (OList a) == (OList b) = and $ zipWith (==) a b (OString a) == (OString b) = a == b + OUndefined == OUndefined = True _ == _ = False instance Show OVal where @@ -163,29 +163,31 @@ show (OList l) = show l show (OString s) = show s show (OFunc _) = "" - show (OUModule (Symbol name) arguments _) = "module " <> name <> " (" <> intercalate ", " (fmap showArg (fromMaybe [] arguments)) <> ") {}" + show (OUModule (Symbol name) arguments _) = "module " <> unpack name <> " (" <> unpack (intercalate ", " (showArg <$> fromMaybe [] arguments)) <> ") {}" where + showArg :: (Symbol, Bool) -> Text showArg (Symbol a, hasDefault) = if hasDefault then a else a <> "=..." - show (ONModule (Symbol name) _ instances) = showInstances instances + show (ONModule (Symbol name) _ instances) = unpack $ showInstances instances where showArg (Symbol a, hasDefault) = if hasDefault then a else a <> "=..." - showInstances :: [([(Symbol, Bool)], Maybe Bool)] -> String + showInstances :: [([(Symbol, Bool)], Maybe Bool)] -> Text showInstances [] = "" showInstances [oneInstance] = "module " <> name <> showInstance oneInstance - showInstances multipleInstances = "Module " <> name <> "[ " <> intercalate ", " (fmap showInstance multipleInstances) <> " ]" - showInstance :: ([(Symbol, Bool)], Maybe Bool) -> String - showInstance (arguments, suiteInfo) = " (" <> intercalate ", " (fmap showArg arguments) <> ") {}" <> showSuiteInfo suiteInfo + showInstances multipleInstances = "Module " <> name <> "[ " <> intercalate ", " (showInstance <$> multipleInstances) <> " ]" + showInstance :: ([(Symbol, Bool)], Maybe Bool) -> Text + showInstance (arguments, suiteInfo) = " (" <> intercalate ", " (showArg <$> arguments) <> ") {}" <> showSuiteInfo suiteInfo + showSuiteInfo :: Maybe Bool -> Text showSuiteInfo suiteInfo = case suiteInfo of Just requiresSuite -> if requiresSuite then " requiring suite {}" else " accepting suite {}" _ -> "" - show (OVargsModule name _) = "varargs module " <> name - show (OError msgs) = "Execution Error:\n" <> foldl1 (\a b -> a <> "\n" <> b) msgs + show (OVargsModule (Symbol name) _) = "varargs module " <> unpack name + show (OError msg) = unpack $ "Execution Error:\n" <> msg show (OObj2 obj) = " show obj <> ">" show (OObj3 obj) = " show obj <> ">" @@ -201,7 +203,7 @@ show (SourcePosition line col filePath) = "line " <> show (fromFastℕ line :: Int) <> ", column " <> show (fromFastℕ col :: Int) <> ", file " <> filePath -- | The types of messages the execution engine can send back to the application. -data MessageType = TextOut -- text intetionally output by the ExtOpenScad program. +data MessageType = TextOut -- text intentionally output by the ExtOpenScad program. | Warning | Error | SyntaxError @@ -210,24 +212,30 @@ deriving (Show, Eq) -- | An individual message. -data Message = Message MessageType SourcePosition String +data Message = Message MessageType SourcePosition Text deriving (Eq) instance Show Message where - show (Message mtype pos text) = show mtype <> " at " <> show pos <> ": " <> text + show (Message mtype pos text) = show mtype <> " at " <> show pos <> ": " <> unpack text -- | Options changing the behavior of the extended OpenScad engine. data ScadOpts = ScadOpts { openScadCompatibility :: Bool , importsAllowed :: Bool - } + } deriving (Show, Eq) +instance Default ScadOpts where + def = ScadOpts + { openScadCompatibility = False + , importsAllowed = True + } + -- helper, to use union on VarLookups. varUnion :: VarLookup -> VarLookup -> VarLookup varUnion (VarLookup a) (VarLookup b) = VarLookup $ union a b -- | For programs using this API to perform variable lookups, after execution of an escad has completed. -lookupVarIn :: String -> VarLookup -> Maybe OVal +lookupVarIn :: Text -> VarLookup -> Maybe OVal lookupVarIn target (VarLookup vars) = lookup (Symbol target) vars newtype TestInvariant = EulerCharacteristic ℕ diff --git a/Graphics/Implicit/ExtOpenScad/Eval/Constant.hs b/Graphics/Implicit/ExtOpenScad/Eval/Constant.hs --- a/Graphics/Implicit/ExtOpenScad/Eval/Constant.hs +++ b/Graphics/Implicit/ExtOpenScad/Eval/Constant.hs @@ -1,11 +1,8 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} - module Graphics.Implicit.ExtOpenScad.Eval.Constant (addConstants, runExpr) where import Prelude (String, IO, ($), pure, (+), Either, Bool(False), (.), either, (<$>), (<*), (<*>)) @@ -36,7 +33,7 @@ import Graphics.Implicit.ExtOpenScad.Default (defaultObjects) -import "monads-tf" Control.Monad.State (liftIO, runStateT, (>>=)) +import Control.Monad.State (liftIO, runStateT, (>>=)) import System.Directory (getCurrentDirectory) @@ -44,15 +41,17 @@ import Text.Parsec.Error (errorMessages, showErrorMessages) +import Data.Text.Lazy (pack) + import Graphics.Implicit.ExtOpenScad.Parser.Util (patternMatcher) import Graphics.Implicit.ExtOpenScad.Parser.Lexer (matchTok) -- | Define variables used during the extOpenScad run. -addConstants :: [String] -> IO (VarLookup, [Message]) -addConstants constants = do +addConstants :: [String] -> Bool -> IO (VarLookup, [Message]) +addConstants constants withCSG = do path <- getCurrentDirectory - (_, s) <- liftIO . runStateT (execAssignments constants) $ CompState defaultObjects [] path [] opts + (_, s) <- liftIO . runStateT (execAssignments constants) $ CompState (defaultObjects withCSG) [] path [] opts pure (scadVars s, messages s) where opts = ScadOpts False False @@ -62,7 +61,7 @@ execAssignment :: Fastℕ -> String -> StateC Fastℕ execAssignment count assignment = do let pos = SourcePosition count 1 "cmdline_constants" - err = addMessage SyntaxError pos . show' + err = addMessage SyntaxError pos . pack . show' run (k, e) = evalExpr pos e >>= traverse_ (modifyVarLookup . varUnion) . matchPat k either err run $ parseAssignment "cmdline_constant" assignment pure $ count + 1 @@ -70,11 +69,11 @@ parseAssignment = parse $ (,) <$> patternMatcher <* matchTok '=' <*> expr0 -- | Evaluate an expression. -runExpr :: String -> (OVal, [Message]) -runExpr expression = do +runExpr :: String -> Bool -> (OVal, [Message]) +runExpr expression withCSG = do either oUndefined run $ parse expr0 "raw_expression" expression where - run expr = rawRunExpr initPos defaultObjects expr + run expr = rawRunExpr initPos (defaultObjects withCSG) expr initPos = SourcePosition 1 1 "raw_expression" show' = showErrorMessages "or" "unknown parse error" "expecting" "unexpected" "end of input" . errorMessages - oUndefined e = (OUndefined, [Message SyntaxError initPos $ show' e]) + oUndefined e = (OUndefined, [Message SyntaxError initPos $ pack $ show' e]) diff --git a/Graphics/Implicit/ExtOpenScad/Eval/Expr.hs b/Graphics/Implicit/ExtOpenScad/Eval/Expr.hs --- a/Graphics/Implicit/ExtOpenScad/Eval/Expr.hs +++ b/Graphics/Implicit/ExtOpenScad/Eval/Expr.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -6,6 +7,9 @@ -- We don't actually care, but when we compile our haskell examples, we do. {-# LANGUAGE PackageImports #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + module Graphics.Implicit.ExtOpenScad.Eval.Expr (evalExpr, rawRunExpr, matchPat, StateE, ExprState(ExprState), messages, addMessage) where import Prelude (String, Maybe(Just, Nothing), ($), fmap, pure, zip, (!!), const, (<>), foldr, foldMap, (.), (<$>), traverse) @@ -40,8 +44,10 @@ import Control.Monad (zipWithM) -import "monads-tf" Control.Monad.State (StateT, get, modify, runState) +import Data.Text.Lazy (Text, unpack) +import Control.Monad.State (StateT, get, modify, runState) + data ExprState = ExprState { _scadVars :: VarLookup , patterns :: [String] @@ -52,18 +58,18 @@ type StateE = StateT ExprState Identity -- Add a message to our list of messages contained in the StatE monad. -addMessage :: MessageType -> SourcePosition -> String -> StateE () +addMessage :: MessageType -> SourcePosition -> Text -> StateE () addMessage mtype pos text = addMesg $ Message mtype pos text where addMesg :: Message -> StateE () addMesg m = modify $ \s -> s { messages = messages s <> pure m } -- Log an error condition. -errorE :: SourcePosition -> String -> StateE () +errorE :: SourcePosition -> Text -> StateE () errorE = addMessage Error -- | The names of all of the patterns in the given pattern. -patVars :: Pattern -> [String] +patVars :: Pattern -> [Text] patVars (Name (Symbol name)) = [name] patVars (ListP pats) = foldMap patVars pats patVars Wild = [] @@ -102,7 +108,7 @@ -- Evaluate a variable lookup. evalExpr' (Var (Symbol name)) = do (ExprState (VarLookup varlookup) namestack _ spos) <- get - case (lookup (Symbol name) varlookup, elemIndex name namestack) of + case (lookup (Symbol name) varlookup, elemIndex (unpack name) namestack) of (_, Just pos) -> pure (!! pos) (Just val, _) -> pure $ const val _ -> do @@ -124,20 +130,23 @@ pure $ \s -> app (fValFunc s) (fmap ($s) argValFuncs) where app f l = case (getErrors f, getErrors $ OList l) of - (Nothing, Nothing) -> app' f l where - app' (OFunc f') (x:xs) = app (f' x) xs - app' a [] = a - app' x _ = OError ["Can't apply arguments to " <> oTypeStr x] - (Just err, _ ) -> OError [err] - (_, Just err) -> OError [err] + (Nothing, Nothing) -> app' f l + where + -- apply function to the list of its arguments until we run out + -- of them + app' (OFunc f') (x:xs) = app (f' x) xs + app' a [] = a + app' x _ = OError $ "Can't apply arguments to " <> oTypeStr x + (Just err, _ ) -> OError err + (_, Just err) -> OError err -- Evaluate a lambda function. evalExpr' (LamE pats fexpr) = do fparts <- for pats $ \pat -> do - modify $ \s -> s { patterns = patVars pat <> patterns s} + modify $ \s -> s { patterns = (unpack <$> patVars pat) <> patterns s} pure $ \f xss -> OFunc $ \val -> case patMatch pat val of Just xs -> f (xs <> xss) - Nothing -> OError ["Pattern match failed"] + Nothing -> OError "Pattern match failed" fval <- evalExpr' fexpr pure $ foldr ($) fval fparts diff --git a/Graphics/Implicit/ExtOpenScad/Eval/Statement.hs b/Graphics/Implicit/ExtOpenScad/Eval/Statement.hs --- a/Graphics/Implicit/ExtOpenScad/Eval/Statement.hs +++ b/Graphics/Implicit/ExtOpenScad/Eval/Statement.hs @@ -1,10 +1,10 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} module Graphics.Implicit.ExtOpenScad.Eval.Statement (runStatementI) where @@ -39,19 +39,22 @@ import Control.Monad (when, unless, (>>=)) -import "monads-tf" Control.Monad.State (gets, liftIO, runStateT) +import Control.Monad.State (gets, liftIO, runStateT) import Data.Foldable (traverse_, for_) import Data.Traversable (for) +import Data.Text.Lazy (unpack, pack) + +import System.Directory (doesFileExist) + import System.FilePath (takeDirectory) --- Run statements out of the OpenScad file. +-- | Run statements out of the OpenScad file. runStatementI :: StatementI -> StateC () - --- | Interpret variable assignment runStatementI (StatementI sourcePos (pat := expr)) = do + -- Interpret variable assignment val <- evalExpr sourcePos expr let posMatch = matchPat pat val case (getErrors val, posMatch) of @@ -60,12 +63,12 @@ for_ (toList match) $ \(Symbol varName, _) -> do maybeVar <- lookupVar (Symbol varName) when (isJust maybeVar) - (warnC sourcePos $ "redefining already defined object: " <> show varName) + (warnC sourcePos $ "redefining already defined object: " <> varName) modifyVarLookup $ varUnion (VarLookup match) (_, Nothing ) -> errorC sourcePos "pattern match failed in assignment" --- | Interpret an if conditional statement. runStatementI (StatementI sourcePos (If expr a b)) = do + -- Interpret an if conditional statement. val <- evalExpr sourcePos expr case (getErrors val, val) of (Just err, _ ) -> errorC sourcePos ("In conditional expression of if statement: " <> err) @@ -73,8 +76,8 @@ (_, OBool False) -> runSuite b _ -> pure () --- | Interpret a module declaration. runStatementI (StatementI sourcePos (NewModule name argTemplate suite)) = do + -- Interpret a module declaration. argTemplate' <- for argTemplate $ \(argName, defexpr) -> do defval <- traverse (evalExpr sourcePos) defexpr pure (argName, defval) @@ -83,9 +86,7 @@ let hasDefault = isJust defval pure (argName, hasDefault) - (VarLookup varlookup) <- getVarLookup --- FIXME: \_? really? - runStatementI . StatementI sourcePos $ (Name name :=) $ LitE $ OUModule name (Just argNames) $ \_ -> do + runStatementI . StatementI sourcePos $ (Name name :=) $ LitE $ OUModule name (Just argNames) $ \(VarLookup varlookup) -> do newNameVals <- for argTemplate' $ \(argName, maybeDef) -> do val <- case maybeDef of Just def -> argument argName `defaultTo` def @@ -95,8 +96,8 @@ varlookup' = union (fromList newNameVals) varlookup pure $ runSuiteCapture (VarLookup varlookup') suite --- | Interpret a call to a module. runStatementI (StatementI sourcePos (ModuleCall (Symbol name) argsExpr suite)) = do + -- Interpret a call to a module. maybeMod <- lookupVar (Symbol name) varlookup <- getVarLookup newVals <- case maybeMod of @@ -104,13 +105,14 @@ optionsMatch <- checkOptions args True unless optionsMatch (errorC sourcePos $ "Options check failed when executing user-defined module " <> name <> ".") evaluatedArgs <- evalArgs argsExpr + varLookup <- getVarLookup -- Evaluate the suite. - suiteResults <- runSuiteCapture varlookup suite + --suiteResults <- runSuiteCapture varlookup suite when (suite /= []) (errorC sourcePos $ "Suite provided, but module " <> name <> " does not accept one. Perhaps a missing semicolon?") -- Run the module. let - argsMapped = argMap evaluatedArgs $ mod' suiteResults - for_ (snd argsMapped) $ errorC sourcePos + argsMapped = argMap evaluatedArgs $ mod' varLookup + for_ (pack <$> snd argsMapped) $ errorC sourcePos fromMaybe (pure []) (fst argsMapped) Just (ONModule _ implementation forms) -> do possibleInstances <- selectInstances forms @@ -120,7 +122,7 @@ [] -> Nothing ((_, suiteInfoFound):_) -> suiteInfoFound when (null possibleInstances) (do - errorC sourcePos $ "no instance of " <> name <> " found to match given parameters.\nInstances available:\n" <> show (ONModule (Symbol name) implementation forms) + errorC sourcePos $ "no instance of " <> name <> " found to match given parameters.\nInstances available:\n" <> pack (show (ONModule (Symbol name) implementation forms)) traverse_ (`checkOptions` True) $ fmap (Just . fst) forms ) -- Ignore this for now, because all instances we define have the same suite requirements. @@ -144,7 +146,7 @@ -- Run the module. let argsMapped = argMap evaluatedArgs $ implementation sourcePos suiteResults - for_ (snd argsMapped) $ errorC sourcePos + for_ (pack <$> snd argsMapped) $ errorC sourcePos fromMaybe (pure []) (fst argsMapped) Just (OVargsModule modname mod') -> do -- Evaluate all of the arguments. @@ -228,9 +230,9 @@ (errorC sourcePos $ "missingNotDefaultable: " <> show (length missingNotDefaultable)) -} when (not (null missingNotDefaultable) && makeWarnings) - (errorC sourcePos $ "Insufficient parameters. " <> parameterReport) + (errorC sourcePos $ "Insufficient parameters. " <> pack parameterReport) when (not (null extraUnnamed) && isJust args && makeWarnings) - (errorC sourcePos $ "Too many parameters: " <> show (length extraUnnamed) <> " extra. " <> parameterReport) + (errorC sourcePos $ "Too many parameters: " <> pack (show $ length extraUnnamed) <> " extra. " <> pack parameterReport) pure $ null missingNotDefaultable && null extraUnnamed namedParameters :: [(Maybe Symbol, Expr)] -> [Symbol] namedParameters = mapMaybe fst @@ -246,24 +248,28 @@ val <- evalExpr sourcePos expr pure (posName, val) --- | Interpret an include or use statement. runStatementI (StatementI sourcePos (Include name injectVals)) = do + -- Interpret an include or use statement. opts <- scadOptions if importsAllowed opts then do - name' <- getRelPath name - content <- liftIO $ readFile name' - case parseProgram name' content of - Left e -> errorC sourcePos $ "Error parsing " <> name <> ":" <> show e - Right sts -> withPathShiftedBy (takeDirectory name) $ do - vals <- getVals - putVals [] - runSuite sts - if injectVals - then do - vals' <- getVals - putVals $ vals' <> vals - else putVals vals + name' <- getRelPath (unpack name) + hasFile <- liftIO $ doesFileExist name' + if not hasFile + then warnC sourcePos $ "Not importing " <> name <> ": File not found." + else do + content <- liftIO $ readFile name' + case parseProgram name' content of + Left e -> errorC sourcePos $ "Error parsing " <> name <> ":" <> pack (show e) + Right sts -> withPathShiftedBy (takeDirectory $ unpack name) $ do + vals <- getVals + putVals [] + runSuite sts + if injectVals + then do + vals' <- getVals + putVals $ vals' <> vals + else putVals vals else warnC sourcePos $ "Not importing " <> name <> ": File import disabled." runStatementI (StatementI _ DoNothing) = pure () diff --git a/Graphics/Implicit/ExtOpenScad/Parser/Expr.hs b/Graphics/Implicit/ExtOpenScad/Parser/Expr.hs --- a/Graphics/Implicit/ExtOpenScad/Parser/Expr.hs +++ b/Graphics/Implicit/ExtOpenScad/Parser/Expr.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014-2019 , Julia Longtin (julial@turinglace.com) -- Copyright (C) 2016, Kelvin Cookshaw (kelvin@cookshaw.com) @@ -6,10 +7,13 @@ -- Allow us to use shorter forms of Var and Name. {-# LANGUAGE PatternSynonyms #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + -- A parser for a numeric expressions. module Graphics.Implicit.ExtOpenScad.Parser.Expr(expr0) where -import Prelude (Char, Maybe(Nothing, Just), String, ($), (<>), id, foldl, foldr, (==), length, head, (&&), (<$>), (<*>), (*>), (<*), flip, (.), pure) +import Prelude (Char, Maybe(Nothing, Just), ($), (<>), id, foldl, foldr, (==), length, head, (&&), (<$>), (<*>), (*>), (<*), flip, (.), pure) import Graphics.Implicit.ExtOpenScad.Definitions (Expr(LamE, LitE, ListE, (:$)), OVal(ONum, OUndefined), Symbol(Symbol)) @@ -18,19 +22,21 @@ import Graphics.Implicit.ExtOpenScad.Parser.Util ((?:), (*<|>), number, boolean, scadString, scadUndefined, variable) -- The lexer. -import Graphics.Implicit.ExtOpenScad.Parser.Lexer (whiteSpace, matchLet, matchTok, matchColon, matchComma, surroundedBy, matchIdentifier, matchEQ, matchNE, matchLE, matchLT, matchGE, matchGT, matchCAT, matchAND, matchOR) +import Graphics.Implicit.ExtOpenScad.Parser.Lexer (whiteSpace, matchLet, matchTok, matchColon, matchComma, surroundedBy, matchIdentifier, matchEQ, matchNE, matchLE, matchLT, matchGE, matchGT, matchCAT, matchAND, matchOR, matchEXP, matchComma) -- The parsec parsing library. import Text.Parsec (oneOf, many, sepBy, optionMaybe, option, (<|>), chainl1, chainr1) import Text.Parsec.String (GenParser) -import Control.Monad.Fix(fix) +import Data.Text.Lazy (Text, pack, singleton) +import Control.Monad.Fix (fix) + -- Let us use the old syntax when defining Vars and Names. -pattern Var :: String -> Expr +pattern Var :: Text -> Expr pattern Var s = GIED.Var (Symbol s) -pattern Name :: String -> GIED.Pattern +pattern Name :: Text -> GIED.Pattern pattern Name n = GIED.Name (Symbol n) -- Borrowed the pattern from http://compgroups.net/comp.lang.functional/parsing-ternary-operator-with-parsec/1052460 @@ -60,13 +66,13 @@ , \higher -> -- <, <=, >= and > operators chainl1 higher $ binaryOperation <$> (matchLE <|> matchLT <|> matchGE <|> matchGT) , \higher -> -- + and - operators - chainl1 higher $ binaryOperation . pure <$> oneOf "+-" <* whiteSpace + chainl1 higher $ binaryOperation . singleton <$> oneOf "+-" <* whiteSpace , \higher -> -- string/list concatenation operator (++). This is not available in OpenSCAD. chainl1 higher $ binaryOperation <$> matchCAT , \higher -> -- exponent operator (^). This is not available in OpenSCAD. - chainr1 higher $ binaryOperation <$> matchTok '^' + chainr1 higher $ binaryOperation . singleton <$> matchEXP , \higher -> -- multiplication (*), division (/), and modulus (%) operators - chainl1 higher $ binaryOperation . pure <$> oneOf "*/%" <* whiteSpace + chainl1 higher $ binaryOperation . singleton <$> oneOf "*/%" <* whiteSpace , \higher -> fix $ \self -> -- unary ! operator. OpenSCAD's YACC parser puts '!' at the same level of precedence as '-' and '+'. do @@ -75,7 +81,7 @@ -- when noting a not, just skip both of them. pure $ case right of Var "!" :$ [deepright] -> deepright - _ -> Var op :$ [right] + _ -> Var (singleton op) :$ [right] <|> higher , \higher -> -- leading positive or negative sign. @@ -83,12 +89,12 @@ do -- Unary -. applied to strings is undefined, but handle that in the interpreter. right <- matchTok '-' *> self pure $ Var "negate" :$ [right] - <|> do -- Unary +. Handle this by ignoring the + + <|> do -- Unary +. Handle this by ignoring the +. matchTok '+' *> self <|> higher , \higher -> -- "let" expression - flip (foldr bindLets) <$> (matchLet *> surroundedBy '(' (assignment `sepBy` matchTok ',') ')') <*> expr0 + flip (foldr bindLets) <$> (matchLet *> surroundedBy '(' (assignment `sepBy` matchComma) ')') <*> expr0 <|> higher ] @@ -161,12 +167,12 @@ -- | Apply a symbolic operator to a list of expressions, pureing one big expression. -- Accepts a string for the operator, to simplify callers. -collector :: String -> [Expr] -> Expr +collector :: Text -> [Expr] -> Expr collector _ [x] = x collector s l = Var s :$ [ListE l] -- | Apply a symbolic operator to two expressions, combining left and right operands with an binary operator -binaryOperation :: String -> Expr -> Expr -> Expr +binaryOperation :: Text -> Expr -> Expr -> Expr binaryOperation symbol left right = Var symbol :$ [left, right] -- | An assignment expression within a let's bindings list @@ -174,7 +180,7 @@ assignment = do ident <- matchIdentifier expression <- matchTok '=' *> expr0 - pure $ ListE [Var ident, expression] + pure $ ListE [Var (pack ident), expression] -- | build nested let statements when foldr'd. bindLets :: Expr -> Expr -> Expr diff --git a/Graphics/Implicit/ExtOpenScad/Parser/Lexer.hs b/Graphics/Implicit/ExtOpenScad/Parser/Lexer.hs --- a/Graphics/Implicit/ExtOpenScad/Parser/Lexer.hs +++ b/Graphics/Implicit/ExtOpenScad/Parser/Lexer.hs @@ -1,18 +1,22 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Kelvin Cookshaw (kelvin@cookshaw.com) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} -module Graphics.Implicit.ExtOpenScad.Parser.Lexer (whiteSpace, matchTrue, matchFalse, matchFunction, matchInclude, matchUse, matchIf, matchElse, matchModule, matchLet, matchUndef, matchTok, matchColon, matchSemi, matchComma, matchIdentifier, surroundedBy, matchLT, matchLE, matchGT, matchGE, matchEQ, matchNE, matchCAT, matchOR, matchAND, matchEach, lexer) where +module Graphics.Implicit.ExtOpenScad.Parser.Lexer (whiteSpace, matchTrue, matchFalse, matchFunction, matchInclude, matchUse, matchIf, matchElse, matchModule, matchLet, matchUndef, matchTok, matchColon, matchSemi, matchComma, matchIdentifier, surroundedBy, matchLT, matchLE, matchGT, matchGE, matchEQ, matchNE, matchCAT, matchOR, matchAND, matchEXP, matchEach, lexer) where -import Prelude (String, Char, Bool(True), (>>), pure) +import Prelude (String, Char, Bool(True), (>>), pure, not, (&&), ($)) -import "monads-tf" Control.Monad.Identity (Identity) +import Data.List (notElem) +import Data.Char (isSpace) + +import Data.Functor.Identity (Identity) + import Text.Parsec.String (GenParser) import qualified Text.Parsec.Token as P (whiteSpace, reserved, identifier, reservedOp) @@ -23,8 +27,10 @@ import Text.Parsec (char, between) -import Text.Parsec.Char (noneOf) +import Text.Parsec.Char (satisfy) +import Data.Text.Lazy (Text) + -- The definition of openscad used by parsec. openScadStyle :: GenLanguageDef String u0 Identity openScadStyle @@ -33,10 +39,10 @@ , commentEnd = "*/" , commentLine = "//" , nestedComments = True - , identStart = noneOf " ,|[]{}()+-*&^%#@!~`'\"\\/;:.,<>?=1234567890" - , identLetter = noneOf " ,|[]{}()+-*&^%#@!~`'\"\\/;:.,<>?=" + , identStart = satisfy $ \c -> notElem c (",|[]{}()+-*&^%#@!~`'\"\\/;:.,<>?=1234567890" :: String) && not (isSpace c) + , identLetter = satisfy $ \c -> notElem c (",|[]{}()+-*&^%#@!~`'\"\\/;:.,<>?=" :: String) && not (isSpace c) , reservedNames = ["module", "function", "if", "else", "let", "each", "true", "false", "undef", "include", "use"] - , reservedOpNames= ["<=", ">=", "==", "!=", "&&", "||"] + , reservedOpNames= ["<=", ">=", "==", "!=", "&&", "||", "++", "^", "<", ">"] , caseSensitive = True } @@ -47,26 +53,14 @@ whiteSpace :: GenParser Char st () whiteSpace = P.whiteSpace lexer --- | Match boolean true. -matchTrue :: GenParser Char st () -matchTrue = P.reserved lexer "true" - --- | Match boolean false -matchFalse :: GenParser Char st () -matchFalse = P.reserved lexer "false" +-- | Match the module keyword. +matchModule :: GenParser Char st () +matchModule = P.reserved lexer "module" -- | Match the function keyword. matchFunction :: GenParser Char st () matchFunction = P.reserved lexer "function" --- | Match the include keyword. -matchInclude :: GenParser Char st () -matchInclude = P.reserved lexer "include" - --- | Match the use keyword. -matchUse :: GenParser Char st () -matchUse = P.reserved lexer "use" - -- | Match the if keyword. matchIf :: GenParser Char st () matchIf = P.reserved lexer "if" @@ -75,62 +69,75 @@ matchElse :: GenParser Char st () matchElse = P.reserved lexer "else" --- | Match the module keyword. -matchModule :: GenParser Char st () -matchModule = P.reserved lexer "module" - -- | Match the let keyword. matchLet :: GenParser Char st () matchLet = P.reserved lexer "let" +-- | Match the each keyword. +matchEach :: GenParser Char st () +matchEach = P.reserved lexer "each" + +-- | Match boolean true. +matchTrue :: GenParser Char st () +matchTrue = P.reserved lexer "true" + +-- | Match boolean false +matchFalse :: GenParser Char st () +matchFalse = P.reserved lexer "false" + -- | Match the undef keyword. matchUndef :: GenParser Char st () matchUndef = P.reserved lexer "undef" --- | Match the each keyword. -matchEach :: GenParser Char st () -matchEach = P.reserved lexer "each" +-- | Match the include keyword. +matchInclude :: GenParser Char st () +matchInclude = P.reserved lexer "include" +-- | Match the use keyword. +matchUse :: GenParser Char st () +matchUse = P.reserved lexer "use" + -- | match a single character token followed by whitespace. -matchTok :: Char -> GenParser Char st String +matchTok :: Char -> GenParser Char st Char matchTok x = do y <- char x - _ <- P.whiteSpace lexer - pure [y] + _ <- whiteSpace + pure y --matchTok tok = lexeme lexer $ symbol lexer [tok] -- | match a colon. -matchColon :: GenParser Char st String -matchColon = colon lexer +matchColon :: GenParser Char st Text +matchColon = colon lexer >> pure ":" -- | match a semicolon. -matchSemi :: GenParser Char st String -matchSemi = semi lexer +matchSemi :: GenParser Char st Text +matchSemi = semi lexer >> pure ";" -- | match a comma. -matchComma :: GenParser Char st String -matchComma = comma lexer +matchComma :: GenParser Char st Text +matchComma = comma lexer >> pure "," -- | Match operators. -matchLE :: GenParser Char st String +matchLE :: GenParser Char st Text matchLE = P.reservedOp lexer "<=" >> pure "<=" -matchLT :: GenParser Char st String -matchLT = matchTok '<' -matchGE :: GenParser Char st String +matchLT :: GenParser Char st Text +matchLT = P.reservedOp lexer "<" >> pure "<" +matchGE :: GenParser Char st Text matchGE = P.reservedOp lexer ">=" >> pure ">=" -matchGT :: GenParser Char st String -matchGT = matchTok '>' -matchEQ :: GenParser Char st String +matchGT :: GenParser Char st Text +matchGT = P.reservedOp lexer ">" >> pure ">" +matchEQ :: GenParser Char st Text matchEQ = P.reservedOp lexer "==" >> pure "==" -matchNE :: GenParser Char st String +matchNE :: GenParser Char st Text matchNE = P.reservedOp lexer "!=" >> pure "!=" -matchAND :: GenParser Char st String +matchAND :: GenParser Char st Text matchAND = P.reservedOp lexer "&&" >> pure "&&" -matchOR :: GenParser Char st String +matchOR :: GenParser Char st Text matchOR = P.reservedOp lexer "||" >> pure "||" -matchCAT :: GenParser Char st String +matchCAT :: GenParser Char st Text matchCAT = P.reservedOp lexer "++" >> pure "++" - +matchEXP :: GenParser Char st Char +matchEXP = P.reservedOp lexer "^" >> pure '^' -- | match something between two ends. surroundedBy :: Char -> GenParser Char st a -> Char -> GenParser Char st a diff --git a/Graphics/Implicit/ExtOpenScad/Parser/Statement.hs b/Graphics/Implicit/ExtOpenScad/Parser/Statement.hs --- a/Graphics/Implicit/ExtOpenScad/Parser/Statement.hs +++ b/Graphics/Implicit/ExtOpenScad/Parser/Statement.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -33,8 +34,10 @@ import Data.Functor (($>)) +import Data.Text.Lazy (Text, pack) + -- Let us use the old syntax when defining Names. -pattern Name :: String -> GIED.Pattern +pattern Name :: Text -> GIED.Pattern pattern Name n = GIED.Name (Symbol n) data CompIdx = A1 | A2 @@ -46,7 +49,6 @@ program :: GenParser Char st [StatementI] program = removeNoOps <$> (whiteSpace *> many (computation A1) <* eof) - -- | A computable block of code in our openscad-like programming language. computation :: CompIdx -> GenParser Char st StatementI computation A1 = @@ -106,7 +108,7 @@ p = flip Include <$> (matchInclude $> True <|> matchUse $> False) -- FIXME: better definition of valid filename characters. - <*> between (char '<') (matchTok '>') (many $ noneOf "<> ") + <*> (pack <$> between (char '<') (matchTok '>') (many $ noneOf "<> ")) -- | An assignment (parser) assignment :: GenParser Char st StatementI @@ -122,7 +124,7 @@ p :: GenParser Char st (Statement StatementI) p = (:=) <$> lval <*> rval lval :: GenParser Char st GIED.Pattern - lval = Name <$> (matchFunction *> matchIdentifier) + lval = Name . pack <$> (matchFunction *> matchIdentifier) rval :: GenParser Char st Expr rval = LamE <$> surroundedBy '(' (sepBy patternMatcher matchComma) ')' <*> (matchTok '=' *> expr0) @@ -138,14 +140,14 @@ userModule = statementI p "module call" where p :: GenParser Char st (Statement StatementI) - p = ModuleCall <$> fmap Symbol matchIdentifier <*> moduleArgsUnit <*> (suite *<|> (matchSemi $> [])) + p = ModuleCall <$> fmap (Symbol . pack) matchIdentifier <*> moduleArgsUnit <*> (suite *<|> (matchSemi $> [])) -- | declare a module. userModuleDeclaration :: GenParser Char st StatementI userModuleDeclaration = statementI p "module declaration" where p :: GenParser Char st (Statement StatementI) - p = NewModule <$> fmap Symbol (matchModule *> matchIdentifier) <*> moduleArgsUnitDecl <*> suite + p = NewModule <$> fmap (Symbol . pack) (matchModule *> matchIdentifier) <*> moduleArgsUnitDecl <*> suite -- | parse the arguments passed to a module. moduleArgsUnit :: GenParser Char st [(Maybe Symbol, Expr)] @@ -156,13 +158,13 @@ -- eg. a = 12 symb <- matchIdentifier expr <- matchTok '=' *> expr0 - pure (Just (Symbol symb), expr) + pure (Just (Symbol $ pack symb), expr) *<|> do -- eg. a(x,y) = 12 symb <- matchIdentifier argVars <- surroundedBy '(' (sepBy matchIdentifier matchComma) ')' expr <- matchTok '=' *> expr0 - pure (Just (Symbol symb), LamE (fmap Name argVars) expr) + pure (Just (Symbol $ pack symb), LamE (fmap (Name . pack) argVars) expr) *<|> do -- eg. 12 expr <- expr0 @@ -178,7 +180,7 @@ do symb <- matchIdentifier expr <- optionMaybe (matchTok '=' *> expr0) - pure (Symbol symb, expr) + pure (Symbol $ pack symb, expr) ) matchComma) ')' diff --git a/Graphics/Implicit/ExtOpenScad/Parser/Util.hs b/Graphics/Implicit/ExtOpenScad/Parser/Util.hs --- a/Graphics/Implicit/ExtOpenScad/Parser/Util.hs +++ b/Graphics/Implicit/ExtOpenScad/Parser/Util.hs @@ -1,7 +1,11 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016 Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + module Graphics.Implicit.ExtOpenScad.Parser.Util ((*<|>), (?:), tryMany, patternMatcher, sourcePosition, number, variable, boolean, scadString, scadUndefined) where import Prelude (String, Char, ($), foldl1, fmap, (.), pure, (*>), Bool(True, False), read, (**), (*), (==), (<>), (<$>), (<$)) @@ -25,6 +29,8 @@ import Data.Functor (($>)) +import Data.Text.Lazy (pack) + infixr 1 *<|> (*<|>) :: GenParser tok u a -> ParsecT [tok] u Identity a -> ParsecT [tok] u Identity a a *<|> b = try a <|> b @@ -40,7 +46,7 @@ patternMatcher :: GenParser Char st Pattern patternMatcher = "pattern" ?: (Wild <$ char '_') - <|> ( Name . Symbol <$> matchIdentifier) + <|> ( Name . Symbol . pack <$> matchIdentifier) <|> ( ListP <$> surroundedBy '[' (patternMatcher `sepBy` matchComma) ']' ) -- expression parsers @@ -75,7 +81,7 @@ -- NOTE: abused by the parser for function calls. variable :: GenParser Char st Expr variable = "variable" ?: - Var . Symbol <$> matchIdentifier + Var . Symbol . pack <$> matchIdentifier -- | Parse a true or false value. boolean :: GenParser Char st Expr @@ -83,9 +89,9 @@ LitE . OBool <$> (matchTrue $> True <|> matchFalse $> False) -- | Parse a quoted string. --- FIXME: no \u unicode support? +-- FIXME: no @\u@ unicode support? scadString :: GenParser Char st Expr -scadString = "string" ?: LitE . OString <$> +scadString = "string" ?: LitE . OString . pack <$> between (char '"') (matchTok '"') diff --git a/Graphics/Implicit/ExtOpenScad/Primitives.hs b/Graphics/Implicit/ExtOpenScad/Primitives.hs --- a/Graphics/Implicit/ExtOpenScad/Primitives.hs +++ b/Graphics/Implicit/ExtOpenScad/Primitives.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -9,14 +10,17 @@ -- Allow us to use type signatures in patterns. {-# LANGUAGE ScopedTypeVariables #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + -- Export one set containing all of the primitive modules. module Graphics.Implicit.ExtOpenScad.Primitives (primitiveModules) where -import Prelude(String, Either(Left, Right), Bool(True, False), Maybe(Just, Nothing), ($), pure, either, id, (-), (==), (&&), (<), (*), cos, sin, pi, (/), (>), const, uncurry, fromInteger, round, (/=), (||), not, null, fmap, (<>), otherwise) +import Prelude((.), Either(Left, Right), Bool(True, False), Maybe(Just, Nothing), ($), pure, either, id, (-), (==), (&&), (<), (*), cos, sin, pi, (/), (>), const, uncurry, (/=), (||), not, null, fmap, (<>), otherwise, error) -import Graphics.Implicit.Definitions (ℝ, ℝ2, ℝ3, ℕ, SymbolicObj2, SymbolicObj3, fromℕtoℝ) +import Graphics.Implicit.Definitions (ℝ, ℝ2, ℝ3, ℕ, SymbolicObj2, SymbolicObj3, ExtrudeMScale(C1), fromℕtoℝ, isScaleID) -import Graphics.Implicit.ExtOpenScad.Definitions (OVal (OObj2, OObj3, ONModule), ArgParser, Symbol(Symbol), StateC, SourcePosition) +import Graphics.Implicit.ExtOpenScad.Definitions (OVal (OObj2, OObj3, ONModule), ArgParser(APFail), Symbol(Symbol), StateC, SourcePosition) import Graphics.Implicit.ExtOpenScad.Util.ArgParser (doc, defaultTo, example, test, eulerCharacteristic) @@ -27,16 +31,20 @@ import Graphics.Implicit.ExtOpenScad.Util.StateC (errorC) -- Note the use of a qualified import, so we don't have the functions in this file conflict with what we're importing. -import qualified Graphics.Implicit.Primitives as Prim (sphere, rect3R, rectR, translate, circle, polygonR, extrudeR, cylinder2, union, unionR, intersect, intersectR, difference, differenceR, rotate, rotate3V, rotate3, scale, extrudeR, extrudeRM, rotateExtrude, shell, pack3, pack2) +import qualified Graphics.Implicit.Primitives as Prim (withRounding, sphere, rect3, rect, translate, circle, polygon, extrude, cylinder2, union, unionR, intersect, intersectR, difference, differenceR, rotate, transform, rotate3V, rotate3, transform3, scale, extrudeM, rotateExtrude, shell, mirror, pack3, pack2) -import Control.Monad (mplus) +import Control.Monad (when, mplus) -import Data.AffineSpace (distanceSq) +import Data.Text.Lazy (Text) +import Control.Lens ((^.)) +import Linear (_m33, M34, M44, V2(V2), V3(V3), V4(V4)) +import Linear.Affine (qdA) + default (ℝ) -- | Use the old syntax when defining arguments. -argument :: OTypeMirror desiredType => String -> ArgParser desiredType +argument :: OTypeMirror desiredType => Text -> ArgParser desiredType argument a = GIEUA.argument (Symbol a) -- | The only thing exported here. basically, a list of modules. @@ -57,10 +65,12 @@ , onModIze rotate [([("a", noDefault), ("v", hasDefault)], requiredSuite)] , onModIze scale [([("v", noDefault)], requiredSuite)] , onModIze extrude [([("height", hasDefault), ("center", hasDefault), ("twist", hasDefault), ("scale", hasDefault), ("translate", hasDefault), ("r", hasDefault)], requiredSuite)] - , onModIze rotateExtrude [([("a", hasDefault), ("r", hasDefault), ("translate", hasDefault), ("rotate", hasDefault)], requiredSuite)] + , onModIze rotateExtrude [([("angle", hasDefault), ("r", hasDefault), ("translate", hasDefault), ("rotate", hasDefault)], requiredSuite)] , onModIze shell [([("w", noDefault)], requiredSuite)] , onModIze pack [([("size", noDefault), ("sep", noDefault)], requiredSuite)] , onModIze unit [([("unit", noDefault)], requiredSuite)] + , onModIze mirror [([("x", noDefault), ("y", noDefault), ("z", noDefault)], requiredSuite), ([("v", noDefault)], requiredSuite)] + , onModIze multmatrix [([("m", noDefault)], requiredSuite)] ] where hasDefault = True @@ -72,10 +82,10 @@ where (name, implementation) = func instances = fmap fixup rawInstances - fixup :: ([(String, Bool)], Maybe Bool) -> ([(Symbol, Bool)], Maybe Bool) + fixup :: ([(Text, Bool)], Maybe Bool) -> ([(Symbol, Bool)], Maybe Bool) fixup (args, suiteInfo) = (fmap fixupArgs args, suiteInfo) where - fixupArgs :: (String, Bool) -> (Symbol, Bool) + fixupArgs :: (Text, Bool) -> (Symbol, Bool) fixupArgs (symbol, maybeDefault) = (Symbol symbol, maybeDefault) -- | sphere is a module without a suite. @@ -103,14 +113,14 @@ addObj3 $ Prim.sphere r -- | FIXME: square1, square2 like cylinder has? --- | FIXME: translate for square2? +-- FIXME: translate for square2? cube :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) cube = moduleWithoutSuite "cube" $ \_ _ -> do -- examples example "cube(size = [2,3,4], center = true, r = 0.5);" example "cube(4);" -- arguments (two forms) - ((x1,x2), (y1,y2), (z1,z2)) <- + (V2 x1 x2, V2 y1 y2, V2 z1 z2) <- do x :: Either ℝ ℝ2 <- argument "x" `doc` "x or x-interval" @@ -133,7 +143,7 @@ center :: Bool <- argument "center" `doc` "should center?" `defaultTo` False - let (x,y, z) = either (\w -> (w,w,w)) id size + let (V3 x y z) = either pure id size pure (toInterval center x, toInterval center y, toInterval center z) -- arguments shared between forms r :: ℝ <- argument "r" @@ -147,7 +157,7 @@ test "cube([2,3,4]);" -- openscad syntax `eulerCharacteristic` 2 -- Implementation - addObj3 $ Prim.rect3R r (x1, y1, z1) (x2, y2, z2) + addObj3 $ Prim.withRounding r $ Prim.rect3 (V3 x1 y1 z1) (V3 x2 y2 z2) square :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) square = moduleWithoutSuite "square" $ \_ _ -> do @@ -156,7 +166,7 @@ example "square(size = [3,4], center = true, r = 0.5);" example "square(4);" -- arguments (two forms) - ((x1,x2), (y1,y2)) <- + (V2 x1 x2, V2 y1 y2) <- do x :: Either ℝ ℝ2 <- argument "x" `doc` "x or x-interval" @@ -176,7 +186,7 @@ center :: Bool <- argument "center" `doc` "should center?" `defaultTo` False - let (x,y) = either (\w -> (w,w)) id size + let (V2 x y) = either pure id size pure (toInterval center x, toInterval center y) -- arguments shared between forms r :: ℝ <- argument "r" @@ -188,7 +198,7 @@ test "square(size=[2,3]);" `eulerCharacteristic` 0 -- Implementation - addObj2 $ Prim.rectR r (x1, y1) (x2, y2) + addObj2 $ Prim.withRounding r $ Prim.rect (V2 x1 y1) (V2 x2 y2) cylinder :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) cylinder = moduleWithoutSuite "cylinder" $ \_ _ -> do @@ -220,7 +230,6 @@ `doc` "top diameter; overrides d" pure (diameter/2, diameter1/2, diameter2/2) - h :: Either ℝ ℝ2 <- argument "h" `defaultTo` Left 1 `doc` "height of cylinder" @@ -236,20 +245,20 @@ test "cylinder(r=5, h=10, $fn = 6);" `eulerCharacteristic` 0 let - (h1, h2) = either (toInterval center) id h + V2 h1 h2 = either (toInterval center) id h dh = h2 - h1 shift :: SymbolicObj3 -> SymbolicObj3 shift = if h1 == 0 then id - else Prim.translate (0,0,h1) + else Prim.translate (V3 0 0 h1) -- The result is a computation state modifier that adds a 3D object, -- based on the args. addObj3 $ if r1 == 1 && r2 == 1 then let - obj2 = if sides < 0 then Prim.circle r else Prim.polygonR 0 - [(r*cos θ, r*sin θ) | θ <- [2*pi*fromℕtoℝ n/fromℕtoℝ sides | n <- [0 .. sides - 1]]] - obj3 = Prim.extrudeR 0 obj2 dh + obj2 = if sides < 0 then Prim.circle r else Prim.polygon + [V2 (r*cos θ) (r*sin θ) | θ <- [2*pi*fromℕtoℝ n/fromℕtoℝ sides | n <- [0 .. sides - 1]]] + obj3 = Prim.extrude obj2 dh in shift obj3 else shift $ Prim.cylinder2 r1 r2 dh @@ -276,13 +285,13 @@ `eulerCharacteristic` 0 addObj2 $ if sides < 3 then Prim.circle r - else Prim.polygonR 0 - [(r*cos θ, r*sin θ) | θ <- [2*pi*fromℕtoℝ n/fromℕtoℝ sides | n <- [0 .. sides - 1]]] + else Prim.polygon + [V2 (r*cos θ) (r*sin θ) | θ <- [2*pi*fromℕtoℝ n/fromℕtoℝ sides | n <- [0 .. sides - 1]]] -- | FIXME: 3D Polygons? --- | FIXME: handle rectangles that are not grid alligned. --- | FIXME: allow for rounding of polygon corners, specification of vertex ordering. --- | FIXME: polygons have to have more than two points, or do not generate geometry, and generate an error. +-- FIXME: handle rectangles that are not grid alligned. +-- FIXME: allow for rounding of polygon corners, specification of vertex ordering. +-- FIXME: polygons have to have more than two points, or do not generate geometry, and generate an error. polygon :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) polygon = moduleWithoutSuite "polygon" $ \_ _ -> do example "polygon ([(0,0), (0,10), (10,0)]);" @@ -294,7 +303,7 @@ `doc` "order to go through vertices" `defaultTo` [] case paths of - [] -> addObj2 $ Prim.polygonR r points + [] -> addObj2 $ Prim.polygon r points _ -> pure $ pure [] `defaultTo` 0 -} @@ -302,23 +311,23 @@ addPolyOrSquare pts | [p1,p2,p3,p4] <- pts = let - d1d2 = distanceSq p1 p2 - d3d4 = distanceSq p3 p4 - d1d3 = distanceSq p1 p3 - d2d4 = distanceSq p2 p4 - d1d4 = distanceSq p1 p4 - d2d3 = distanceSq p2 p3 + d1d2 = qdA p1 p2 + d3d4 = qdA p3 p4 + d1d3 = qdA p1 p3 + d2d4 = qdA p2 p4 + d1d4 = qdA p1 p4 + d2d3 = qdA p2 p3 isGridAligned :: ℝ2 -> ℝ2 -> Bool - isGridAligned (x1, y1) (x2, y2) = x1 == x2 || y1 == y2 + isGridAligned (V2 x1 y1) (V2 x2 y2) = x1 == x2 || y1 == y2 -- Rectangles have no overlapping points, -- the distance on each side is equal to it's opposing side, -- and the distance between the pairs of opposing corners are equal. in if (p1 /= p2 && p2 /= p3 && p3 /= p4 && p4 /= p1) && (d1d2==d3d4 && d1d3==d2d4) && (d1d4==d2d3) && isGridAligned p1 p2 - then Prim.rectR 0 p1 p3 - else Prim.polygonR 0 pts - | otherwise = Prim.polygonR 0 points + then Prim.rect p1 p3 + else Prim.polygon pts + | otherwise = Prim.polygon points addObj2 $ addPolyOrSquare points union :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) @@ -341,18 +350,27 @@ difference :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) difference = moduleWithSuite "difference" $ \_ children -> do + when (null children) $ APFail "Call to 'difference' requires at least one child" r :: ℝ <- argument "r" `defaultTo` 0 `doc` "Radius of rounding for the difference interface" pure $ pure $ if r > 0 - then objReduce (Prim.differenceR r) (Prim.differenceR r) children - else objReduce Prim.difference Prim.difference children + then objReduce (unsafeUncurry (Prim.differenceR r)) (unsafeUncurry (Prim.differenceR r)) children + else objReduce (unsafeUncurry Prim.difference) (unsafeUncurry Prim.difference) children + where + unsafeUncurry :: (a -> [a] -> c) -> [a] -> c + unsafeUncurry f = uncurry f . unsafeUncons + unsafeUncons :: [a] -> (a, [a]) + unsafeUncons (a : as) = (a, as) + -- NOTE: This error is guarded against during the @null children@ check in the function body. + unsafeUncons _ = error "difference requires at least one element; zero given" + translate :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) translate = moduleWithSuite "translate" $ \_ children -> do example "translate ([2,3]) circle (4);" example "translate ([5,6,7]) sphere(5);" - (x,y,z) <- + (V3 x y z) <- do x :: ℝ <- argument "x" `doc` "x amount to translate"; @@ -361,26 +379,26 @@ z :: ℝ <- argument "z" `doc` "z amount to translate" `defaultTo` 0; - pure (x,y,z); + pure (V3 x y z); <|> do v :: Either ℝ (Either ℝ2 ℝ3) <- argument "v" `doc` "vector to translate by" pure $ case v of - Left x -> (x,0,0) - Right (Left (x,y) ) -> (x,y,0) - Right (Right (x,y,z)) -> (x,y,z) + Left x -> V3 x 0 0 + Right (Left (V2 x y) ) -> V3 x y 0 + Right (Right (V3 x y z)) -> V3 x y z pure $ pure $ - objMap (Prim.translate (x,y)) (Prim.translate (x,y,z)) children + objMap (Prim.translate (V2 x y)) (Prim.translate (V3 x y z)) children -- | FIXME: rotating a module that is not found pures no geometry, instead of an error. --- | FIXME: error reporting on fallthrough. --- + FIXME: rotate(y=90) would be nice. +-- FIXME: error reporting on fallthrough. +-- FIXME: rotate(y=90) would be nice. rotate :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) rotate = moduleWithSuite "rotate" $ \_ children -> do a <- argument "a" `doc` "value to rotate by; angle or list of angles" v <- argument "v" - `defaultTo` (0, 0, 1) + `defaultTo` V3 0 0 1 `doc` "Vector to rotate around if a is a single angle" -- caseOType matches depending on whether size can be coerced into -- the right object. See Graphics.Implicit.ExtOpenScad.Util @@ -390,9 +408,9 @@ ( \θ -> objMap (Prim.rotate $ deg2rad θ) (Prim.rotate3V (deg2rad θ) v) children ) <||> ( \(yz,zx,xy) -> - objMap (Prim.rotate $ deg2rad xy ) (Prim.rotate3 (deg2rad yz, deg2rad zx, deg2rad xy) ) children + objMap (Prim.rotate $ deg2rad xy ) (Prim.rotate3 (V3 (deg2rad yz) (deg2rad zx) (deg2rad xy)) ) children ) <||> ( \(yz,zx) -> - objMap id (Prim.rotate3 (deg2rad yz, deg2rad zx, 0)) children + objMap id (Prim.rotate3 (V3 (deg2rad yz) (deg2rad zx) 0)) children ) <||> const [] where deg2rad :: ℝ -> ℝ @@ -409,9 +427,9 @@ scaleObjs stretch2 stretch3 = objMap (Prim.scale stretch2) (Prim.scale stretch3) children pure $ pure $ case v of - Left x -> scaleObjs (x,1) (x,1,1) - Right (Left (x,y)) -> scaleObjs (x,y) (x,y,1) - Right (Right (x,y,z)) -> scaleObjs (x,y) (x,y,z) + Left x -> scaleObjs (V2 x x) (V3 x x x) + Right (Left (x,y)) -> scaleObjs (V2 x y) (V3 x y 1) + Right (Right (x,y,z)) -> scaleObjs (V2 x y) (V3 x y z) -- | FIXME: avoid the approximation in getBox3. better definition of function()? extrude :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) @@ -423,9 +441,9 @@ `doc` "center? (the z component)" twistArg :: Either ℝ (ℝ -> ℝ) <- argument "twist" `defaultTo` Left 0 `doc` "twist as we extrude, either a total amount to twist or a function..." - scaleArg :: Either ℝ (ℝ -> ℝ) <- argument "scale" `defaultTo` Left 1 + scaleArg :: ExtrudeMScale <- argument "scale" `defaultTo` C1 1 `doc` "scale according to this funciton as we extrude..." - translateArg :: Either ℝ2 (ℝ -> ℝ2) <- argument "translate" `defaultTo` Left (0,0) + translateArg :: Either ℝ2 (ℝ -> ℝ2) <- argument "translate" `defaultTo` Left (pure 0) `doc` "translate according to this funciton as we extrude..." r :: ℝ <- argument "r" `defaultTo` 0 `doc` "round the top/bottom." @@ -434,48 +452,59 @@ Left h -> h Right f -> f 0 0 + height' :: Either ℝ (ℝ2 -> ℝ) height' = case height of Left a -> Left a - Right f -> Right $ uncurry f + Right f -> Right $ \(V2 a b) -> f a b shiftAsNeeded :: SymbolicObj3 -> SymbolicObj3 shiftAsNeeded = if center - then Prim.translate (0,0,-heightn/2.0) + then Prim.translate (V3 0 0 (-heightn/2)) else id isTwistID = case twistArg of Left constant -> constant == 0 Right _ -> False - isScaleID = case scaleArg of - Left constant -> constant == 1 - Right _ -> False isTransID = case translateArg of - Left constant -> constant == (0,0) + Left constant -> constant == pure 0 Right _ -> False pure $ pure $ obj2UpMap ( \obj -> case height of - Left constHeight | isTwistID && isScaleID && isTransID -> - shiftAsNeeded $ Prim.extrudeR r obj constHeight + Left constHeight | isTwistID && isScaleID scaleArg && isTransID -> + shiftAsNeeded $ Prim.withRounding r $ Prim.extrude obj constHeight _ -> - shiftAsNeeded $ Prim.extrudeRM r twistArg scaleArg translateArg obj height' + shiftAsNeeded $ Prim.withRounding r $ Prim.extrudeM twistArg scaleArg translateArg obj height' ) children rotateExtrude :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) rotateExtrude = moduleWithSuite "rotate_extrude" $ \_ children -> do example "rotate_extrude() translate(20) circle(10);" - totalRot :: ℝ <- argument "a" `defaultTo` 360 - `doc` "angle to sweep" + totalRot :: ℝ <- argument "angle" `defaultTo` 360 + `doc` "angle to sweep in degrees" r :: ℝ <- argument "r" `defaultTo` 0 - translateArg :: Either ℝ2 (ℝ -> ℝ2) <- argument "translate" `defaultTo` Left (0,0) + translateArg :: Either ℝ2 (ℝ -> ℝ2) <- argument "translate" `defaultTo` Left (V2 0 0) rotateArg :: Either ℝ (ℝ -> ℝ ) <- argument "rotate" `defaultTo` Left 0 - let - is360m :: ℝ -> Bool - is360m n = 360 * fromInteger (round $ n / 360) /= n - cap = is360m totalRot - || either ( /= (0,0)) (\f -> f 0 /= f totalRot) translateArg - || either is360m (\f -> is360m (f 0 - f totalRot)) rotateArg - capM = if cap then Just r else Nothing - pure $ pure $ obj2UpMap (Prim.rotateExtrude totalRot capM translateArg rotateArg) children + pure $ pure $ obj2UpMap ( Prim.withRounding r + . rotateExtrudeDegrees totalRot translateArg rotateArg + ) children +-- | Like 'Prim.rotateExtrude', but operates in degrees instead of radians. +-- This is a shim for scad, which expects this function to operate in degrees. +rotateExtrudeDegrees + :: ℝ -- Angle to sweep to (in degs) + -> (Either ℝ2 (ℝ -> ℝ2)) -- translate + -> (Either ℝ (ℝ -> ℝ )) -- rotate + -> SymbolicObj2 -- object to extrude + -> SymbolicObj3 +rotateExtrudeDegrees totalRot translateArg rotateArg = + Prim.rotateExtrude + (totalRot * k) + (fmap (. (/k)) translateArg) + (fmap (. (/k)) rotateArg) + where + tau :: ℝ + tau = 2 * pi + k = tau / 360 + shell :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) shell = moduleWithSuite "shell" $ \_ children -> do w :: ℝ <- argument "w" @@ -510,10 +539,10 @@ unit = moduleWithSuite "unit" $ \sourcePosition children -> do example "unit(\"inch\") {..}" -- arguments - name :: String <- argument "unit" + name :: Text <- argument "unit" `doc` "the unit you wish to work in" let - mmRatio :: String -> Maybe ℝ + mmRatio :: Text -> Maybe ℝ mmRatio "inch" = Just 25.4 mmRatio "in" = mmRatio "inch" mmRatio "foot" = Just 304.8 @@ -535,18 +564,56 @@ errorC sourcePosition $ "unrecognized unit " <> name pure children Just r -> - pure $ objMap (Prim.scale (r,r)) (Prim.scale (r,r,r)) children + pure $ objMap (Prim.scale (pure r)) (Prim.scale (pure r)) children +mirror :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) +mirror = moduleWithSuite "mirror" $ \_ children -> do + example "mirror ([1,0,0]) cube(3);" + example "mirror (v = [1,1,1]) cube(5);" + (V3 x y z) <- + do + x :: ℝ <- argument "x" + `doc` "x component of a mirror plane tangent vector"; + y :: ℝ <- argument "y" + `doc` "y component of a mirror plane tangent vector"; + z :: ℝ <- argument "z" + `doc` "z component of a mirror plane tangent vector" + `defaultTo` 0; + pure (V3 x y z); + <|> do + v :: Either ℝ (Either ℝ2 ℝ3) <- argument "v" + `doc` "mirror plane tangent vector" + pure $ case v of + Left x -> V3 x 0 0 + Right (Left (V2 x y) ) -> V3 x y 0 + Right (Right (V3 x y z)) -> V3 x y z + pure $ pure $ + objMap (Prim.mirror (V2 x y)) (Prim.mirror (V3 x y z)) children +multmatrix :: (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) +multmatrix = moduleWithSuite "multmatrix" $ \_ children -> do + example "multmatrix (m=[[1,0,0,0],[0,1,0,0],[0,0,1,0]]) cube(3);" + example "multmatrix (m=[[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]) cube(3);" + m <- + do + m :: Either (M34 ℝ) (M44 ℝ) <- argument "m" + `doc` "3x4 or 4x4 matrix representing affine transformation"; + pure $ case m of + Left (V3 a b c) -> V4 a b c (V4 0 0 0 1) + Right m44 -> m44 + pure $ pure $ + -- m44 -> m33 + objMap (Prim.transform (m ^. Linear._m33)) (Prim.transform3 m) children + --------------- (<|>) :: ArgParser a -> ArgParser a -> ArgParser a (<|>) = mplus -moduleWithSuite :: String -> (SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) -> (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) +moduleWithSuite :: Text -> (SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) -> (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) moduleWithSuite name modArgMapper = (Symbol name, modArgMapper) -moduleWithoutSuite :: String -> (SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) -> (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) +moduleWithoutSuite :: Text -> (SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) -> (Symbol, SourcePosition -> [OVal] -> ArgParser (StateC [OVal])) moduleWithoutSuite name modArgMapper = (Symbol name, modArgMapper) addObj2 :: SymbolicObj2 -> ArgParser (StateC [OVal]) @@ -578,5 +645,5 @@ toInterval :: Bool -> ℝ -> ℝ2 toInterval center h = if center - then (-h/2, h/2) - else (0, h) + then V2 (-h/2) (h/2) + else V2 0 h diff --git a/Graphics/Implicit/ExtOpenScad/Util/ArgParser.hs b/Graphics/Implicit/ExtOpenScad/Util/ArgParser.hs --- a/Graphics/Implicit/ExtOpenScad/Util/ArgParser.hs +++ b/Graphics/Implicit/ExtOpenScad/Util/ArgParser.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,13 +6,16 @@ -- FIXME: why is this required? {-# LANGUAGE ScopedTypeVariables #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + module Graphics.Implicit.ExtOpenScad.Util.ArgParser (argument, doc, defaultTo, example, test, eulerCharacteristic, argMap) where -- imported twice, once qualified. null from Data.Map conflicts with null from Prelude. -import Prelude(String, Maybe(Just, Nothing), ($), (<>), show, error, return, fmap, snd, filter, (.), fst, foldl1, not, (&&), (<$>)) +import Prelude(String, Maybe(Just, Nothing), ($), (<>), show, return, fmap, snd, filter, (.), fst, foldl1, not, (&&), (<$>), maybe) import qualified Prelude as P (null) -import Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP, APTest, APBranch, APTerminator, APFailIf, APExample), OVal (OError), TestInvariant(EulerCharacteristic), Symbol, VarLookup(VarLookup)) +import Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP, APTest, APBranch, APTerminator, APFail, APExample), OVal (OError), TestInvariant(EulerCharacteristic), Symbol, VarLookup(VarLookup)) import Graphics.Implicit.ExtOpenScad.Util.OVal (fromOObj, toOObj, OTypeMirror) @@ -23,7 +27,7 @@ import Data.Maybe (isNothing, fromJust, isJust) -import Data.Foldable (fold) +import Data.Text.Lazy (Text, pack, unpack) import Control.Arrow (first) @@ -39,37 +43,37 @@ let val :: Maybe desiredType val = fromOObj oObjVal + errmsg :: Text errmsg = case oObjVal of - OError errs -> "error in computing value for argument " <> show name - <> ": " <> fold errs - _ -> "arg " <> show oObjVal <> " not compatible with " <> show name - -- Using /= Nothing would require Eq desiredType - APFailIf (isNothing val) errmsg $ APTerminator $ fromJust val + OError err -> "error in computing value for argument " <> pack (show name) + <> ": " <> err + _ -> "arg " <> pack (show oObjVal) <> " not compatible with " <> pack (show name) + maybe (APFail errmsg) APTerminator val {-# INLINABLE argument #-} -- | Inline documentation. -doc :: forall a. ArgParser a -> String -> ArgParser a +doc :: forall a. ArgParser a -> Text -> ArgParser a doc (AP name defMaybeVal _ next) newDoc = AP name defMaybeVal newDoc next -doc _ _ = error "Impossible!" +doc _ _ = APFail "Impossible! doc" -- | An inline default value. defaultTo :: forall a. (OTypeMirror a) => ArgParser a -> a -> ArgParser a defaultTo (AP name _ doc' next) newDefVal = AP name (Just $ toOObj newDefVal) doc' next -defaultTo _ _ = error "Impossible!" +defaultTo _ _ = APFail "Impossible! defaultTo" -- | An inline example. -example :: String -> ArgParser () +example :: Text -> ArgParser () example str = APExample str (return ()) -- | Inline test and combinators. -test :: String -> ArgParser () +test :: Text -> ArgParser () test str = APTest str [] (return ()) eulerCharacteristic :: ArgParser a -> ℕ -> ArgParser a eulerCharacteristic (APTest str tests child) χ = APTest str (EulerCharacteristic χ : tests) child -eulerCharacteristic _ _ = error "Impossible!" +eulerCharacteristic _ _ = APFail "Impossible! eulerCharacteristic" -- * Tools for handeling ArgParsers @@ -111,10 +115,7 @@ argMap2 a (VarLookup b) (APTerminator val) = (Just val, ["Unused arguments" | not (P.null a && DM.null b)]) -argMap2 a b (APFailIf testval err child) = - if testval - then (Nothing, [err]) - else argMap2 a b child +argMap2 _ _ (APFail err) = (Nothing, [unpack err]) argMap2 a b (APExample _ child) = argMap2 a b child diff --git a/Graphics/Implicit/ExtOpenScad/Util/OVal.hs b/Graphics/Implicit/ExtOpenScad/Util/OVal.hs --- a/Graphics/Implicit/ExtOpenScad/Util/OVal.hs +++ b/Graphics/Implicit/ExtOpenScad/Util/OVal.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -9,11 +10,14 @@ {-# LANGUAGE TypeSynonymInstances #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + module Graphics.Implicit.ExtOpenScad.Util.OVal(OTypeMirror, (<||>), fromOObj, toOObj, divideObjs, caseOType, oTypeStr, getErrors) where -import Prelude(Maybe(Just, Nothing), Bool(True, False), Either(Left,Right), Char, String, (==), fromInteger, floor, ($), (.), fmap, error, (<>), show, head, flip, filter, not, return, head) +import Prelude(Maybe(Just, Nothing), Bool(True, False), Either(Left,Right), (==), fromInteger, floor, ($), (.), fmap, error, (<>), show, flip, filter, not, return) -import Graphics.Implicit.Definitions(ℝ, ℕ, SymbolicObj2, SymbolicObj3, fromℕtoℝ) +import Graphics.Implicit.Definitions(V2, ℝ, ℝ2, ℕ, SymbolicObj2, SymbolicObj3, ExtrudeMScale(C1, C2, Fn), fromℕtoℝ) import Graphics.Implicit.ExtOpenScad.Definitions (OVal(ONum, OBool, OString, OList, OFunc, OUndefined, OUModule, ONModule, OVargsModule, OError, OObj2, OObj3)) @@ -21,11 +25,16 @@ import Data.Maybe (fromMaybe, maybe) -import Data.Traversable(traverse) +import Data.Traversable (traverse) +import Data.Text.Lazy (Text) + -- for some minimal paralellism. -import Control.Parallel.Strategies(runEval, rpar, rseq) +import Control.Parallel.Strategies (runEval, rpar, rseq) +-- To build vectors of ℝs. +import Linear (V2(V2), V3(V3), V4(V4)) + -- Convert OVals (and Lists of OVals) into a given Haskell type class OTypeMirror a where fromOObj :: OVal -> Maybe a @@ -58,21 +67,16 @@ {-# INLINABLE fromOObj #-} toOObj = OBool --- We don't actually use single chars, this is to compile lists of chars (AKA strings) after passing through OTypeMirror [a]'s fromOObj. --- This lets us handle strings without overlapping the [a] case. -instance OTypeMirror Char where - fromOObj (OString str) = Just $ head str - fromOObj _ = Nothing - {-# INLINABLE fromOObj #-} - fromOObjList (OString str) = Just str - fromOObjList _ = Nothing - toOObj a = OString [a] - instance (OTypeMirror a) => OTypeMirror [a] where fromOObj = fromOObjList {-# INLINABLE fromOObj #-} toOObj list = OList $ fmap toOObj list +instance OTypeMirror Text where + fromOObj (OString str) = Just str + fromOObj _ = Nothing + toOObj a = OString a + instance (OTypeMirror a) => OTypeMirror (Maybe a) where fromOObj a = Just $ fromOObj a {-# INLINABLE fromOObj #-} @@ -85,6 +89,12 @@ {-# INLINABLE fromOObj #-} toOObj (a,b) = OList [toOObj a, toOObj b] +instance (OTypeMirror a) => OTypeMirror (V2 a) where + fromOObj (OList [fromOObj -> Just a,fromOObj -> Just b]) = Just (V2 a b) + fromOObj _ = Nothing + {-# INLINABLE fromOObj #-} + toOObj (V2 a b) = OList [toOObj a, toOObj b] + instance (OTypeMirror a, OTypeMirror b, OTypeMirror c) => OTypeMirror (a,b,c) where fromOObj (OList [fromOObj -> Just a,fromOObj -> Just b,fromOObj -> Just c]) = Just (a,b,c) @@ -92,6 +102,20 @@ {-# INLINABLE fromOObj #-} toOObj (a,b,c) = OList [toOObj a, toOObj b, toOObj c] +instance (OTypeMirror a) => OTypeMirror (V3 a) where + fromOObj (OList [fromOObj -> Just a,fromOObj -> Just b,fromOObj -> Just c]) = + Just (V3 a b c) + fromOObj _ = Nothing + {-# INLINABLE fromOObj #-} + toOObj (V3 a b c) = OList [toOObj a, toOObj b, toOObj c] + +instance (OTypeMirror a) => OTypeMirror (V4 a) where + fromOObj (OList [fromOObj -> Just a,fromOObj -> Just b,fromOObj -> Just c,fromOObj -> Just d]) = + Just (V4 a b c d) + fromOObj _ = Nothing + {-# INLINABLE fromOObj #-} + toOObj (V4 a b c d) = OList [toOObj a, toOObj b, toOObj c, toOObj d] + instance (OTypeMirror a, OTypeMirror b) => OTypeMirror (a -> b) where fromOObj (OFunc f) = Just $ \input -> let @@ -106,7 +130,7 @@ {-# INLINABLE fromOObj #-} toOObj f = OFunc $ \oObj -> case fromOObj oObj :: Maybe a of - Nothing -> OError ["bad input type"] + Nothing -> OError "bad input type" Just obj -> toOObj $ f obj instance (OTypeMirror a, OTypeMirror b) => OTypeMirror (Either a b) where @@ -118,8 +142,18 @@ toOObj (Right x) = toOObj x toOObj (Left x) = toOObj x +instance OTypeMirror ExtrudeMScale where + fromOObj (fromOObj -> Just (x :: ℝ)) = Just $ C1 x + fromOObj (fromOObj -> Just (x :: ℝ2)) = Just $ C2 x + fromOObj (fromOObj -> Just (x :: (ℝ -> Either ℝ ℝ2))) = Just $ Fn x + fromOObj _ = Nothing + + toOObj (C1 x) = toOObj x + toOObj (C2 x) = toOObj x + toOObj (Fn x) = toOObj x + -- A string representing each type. -oTypeStr :: OVal -> String +oTypeStr :: OVal -> Text oTypeStr OUndefined = "Undefined" oTypeStr (OBool _ ) = "Bool" oTypeStr (ONum _ ) = "Number" @@ -133,8 +167,8 @@ oTypeStr (OObj2 _ ) = "2D Object" oTypeStr (OObj3 _ ) = "3D Object" -getErrors :: OVal -> Maybe String -getErrors (OError er) = Just $ head er +getErrors :: OVal -> Maybe Text +getErrors (OError er) = Just er getErrors (OList l) = msum $ fmap getErrors l getErrors _ = Nothing diff --git a/Graphics/Implicit/ExtOpenScad/Util/StateC.hs b/Graphics/Implicit/ExtOpenScad/Util/StateC.hs --- a/Graphics/Implicit/ExtOpenScad/Util/StateC.hs +++ b/Graphics/Implicit/ExtOpenScad/Util/StateC.hs @@ -1,22 +1,20 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- allow us to specify what package to import what module from. --- We don't actually care, but when we compile our haskell examples, we do. -{-# LANGUAGE PackageImports #-} - - module Graphics.Implicit.ExtOpenScad.Util.StateC (addMessage, getVarLookup, modifyVarLookup, lookupVar, pushVals, getVals, putVals, withPathShiftedBy, getPath, getRelPath, errorC, warnC, scadOptions) where -import Prelude(FilePath, String, Maybe, ($), (<>), pure) +import Prelude(FilePath, Maybe, ($), (<>), pure) import Graphics.Implicit.ExtOpenScad.Definitions(VarLookup(VarLookup), OVal, Symbol, SourcePosition, Message(Message), MessageType(Error, Warning), ScadOpts, StateC, CompState(scadVars, oVals, sourceDir, messages, scadOpts)) import Data.Map (lookup) -import "monads-tf" Control.Monad.State (modify, gets) +import Data.Text.Lazy (Text) +import Control.Monad.State (modify, gets) + import System.FilePath(()) getVarLookup :: StateC VarLookup @@ -61,14 +59,14 @@ addMesg :: Message -> StateC () addMesg m = modify $ \c -> c { messages = messages c <> pure m } -addMessage :: MessageType -> SourcePosition -> String -> StateC () +addMessage :: MessageType -> SourcePosition -> Text -> StateC () addMessage mtype pos text = addMesg $ Message mtype pos text -errorC :: SourcePosition -> String -> StateC () +errorC :: SourcePosition -> Text -> StateC () errorC = addMessage Error {-# INLINABLE errorC #-} -warnC :: SourcePosition -> String -> StateC () +warnC :: SourcePosition -> Text -> StateC () warnC = addMessage Warning {-# INLINABLE warnC #-} diff --git a/Graphics/Implicit/FastIntUtil.hs b/Graphics/Implicit/FastIntUtil.hs --- a/Graphics/Implicit/FastIntUtil.hs +++ b/Graphics/Implicit/FastIntUtil.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014-2019, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE diff --git a/Graphics/Implicit/IntegralUtil.hs b/Graphics/Implicit/IntegralUtil.hs --- a/Graphics/Implicit/IntegralUtil.hs +++ b/Graphics/Implicit/IntegralUtil.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014-2019, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE diff --git a/Graphics/Implicit/MathUtil.hs b/Graphics/Implicit/MathUtil.hs --- a/Graphics/Implicit/MathUtil.hs +++ b/Graphics/Implicit/MathUtil.hs @@ -1,39 +1,39 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE ViewPatterns #-} + -- A module of math utilities. -module Graphics.Implicit.MathUtil (rmax, rmaximum, rminimum, distFromLineSeg, pack, box3sWithin) where +module Graphics.Implicit.MathUtil (rmax, rmaximum, rminimum, distFromLineSeg, pack, box3sWithin, reflect, alaV3, packV3, unpackV3, quaternionToEuler, infty) where -- Explicitly include what we need from Prelude. -import Prelude (Bool, Ordering, (>), (<), (+), ($), (/), otherwise, not, (||), (&&), abs, (-), (*), sin, asin, pi, max, sqrt, min, compare, (<=), fst, snd, (<>), head, flip, maximum, minimum, (==)) - -import Graphics.Implicit.Definitions (ℝ, ℝ2, ℝ3, Box2, (⋅)) - -import Data.List (sort, sortBy, (!!)) +import Prelude (Num, Fractional, Bool, RealFloat, Ordering, (.), (>), (<), (+), ($), (/), otherwise, not, (||), (&&), abs, (-), (*), sin, asin, pi, max, sqrt, min, compare, (<=), fst, snd, (<>), flip, (>=), signum, atan2, error, (/=)) -import Data.VectorSpace (magnitude, normalized, (^-^), (^+^), (*^)) +import Graphics.Implicit.Definitions (ℝ, ℝ2, ℝ3, Box2) --- get the distance between two points. -import Data.AffineSpace (distance) +import Data.List (sort, sortBy) +import Linear (Metric, (*^), norm, distance, normalize, dot, Quaternion(Quaternion), V2(V2), V3(V3)) -- | The distance a point p is from a line segment (a,b) distFromLineSeg :: ℝ2 -> (ℝ2, ℝ2) -> ℝ distFromLineSeg p (a,b) = distance p closest where - ab = b ^-^ a - ap = p ^-^ a + ab = b - a + ap = p - a d :: ℝ - d = normalized ab ⋅ ap + d = normalize ab `dot` ap -- the closest point to p on the line segment. closest :: ℝ2 closest | d < 0 = a - | d > magnitude ab = b - | otherwise = a ^+^ d *^ normalized ab + | d > norm ab = b + | otherwise = a + d *^ normalize ab box3sWithin :: ℝ -> (ℝ3, ℝ3) -> (ℝ3, ℝ3) -> Bool -box3sWithin r ((ax1, ay1, az1),(ax2, ay2, az2)) ((bx1, by1, bz1),(bx2, by2, bz2)) = +box3sWithin r (V3 ax1 ay1 az1, V3 ax2 ay2 az2) (V3 bx1 by1 bz1, V3 bx2 by2 bz2) = let near (a1, a2) (b1, b2) = not $ (a2 + r < b1) || (b2 + r < a1) in @@ -45,24 +45,26 @@ -- Consider max(x,y) = 0, the generated curve -- has a square-like corner. We replace it with a -- quarter of a circle +-- +-- NOTE: rmax is not associative! rmax :: ℝ -- ^ radius -> ℝ -- ^ first number to round maximum -> ℝ -- ^ second number to round maximum -> ℝ -- ^ resulting number -rmax r x y - | r == 0 = max x y - | otherwise = if abs (x-y) < r +rmax r x y = if abs (x-y) < r && r /= 0 then y - r*sin(pi/4-asin((x-y)/r/sqrt 2)) + r else max x y -- | Rounded minimum +-- +-- NOTE: rmin is not associative! rmin :: ℝ -- ^ radius -> ℝ -- ^ first number to round minimum -> ℝ -- ^ second number to round minimum -> ℝ -- ^ resulting number -rmin r x y = if abs (x-y) < r +rmin r x y = if abs (x-y) < r && r /= 0 then y + r*sin(pi/4+asin((x-y)/r/sqrt 2)) - r else min x y @@ -76,16 +78,9 @@ -> ℝ -- ^ resulting number rmaximum _ [] = 0 rmaximum _ [a] = a -rmaximum r [a,b] - | r == 0 = max a b - | otherwise = rmax r a b -rmaximum r l - | r == 0 = maximum l - | otherwise = - let - tops = sortBy (flip compare) l - in - rmax r (head tops) (tops !! 1) +rmaximum r [a,b] = rmax r a b +rmaximum r (sortBy (flip compare) -> (a:b:_:_)) = rmax r a b +rmaximum _ _ = error "impossible." -- (and with dependent types we could prove it!) -- | Like rmin but on a list. rminimum :: @@ -94,16 +89,9 @@ -> ℝ -- ^ resulting number rminimum _ [] = 0 rminimum _ [a] = a -rminimum r [a,b] - | r > 0 = rmin r a b - | otherwise = min a b -rminimum r l - | r > 0 = - let - tops = sort l - in - rmin r (head tops) (tops !! 1) - | otherwise = minimum l +rminimum r [a,b] = rmin r a b +rminimum r (sort -> (a:b:_:_)) = rmin r a b +rminimum _ _ = error "impossible." -- | Pack the given objects in a box the given size. pack :: @@ -114,7 +102,7 @@ pack (dx, dy) sep objs = packSome sortedObjs (dx, dy) where compareBoxesByY :: Box2 -> Box2 -> Ordering - compareBoxesByY ((_, ay1), (_, ay2)) ((_, by1), (_, by2)) = + compareBoxesByY (V2 _ ay1, V2 _ ay2) (V2 _ by1, V2 _ by2) = compare (abs $ by2-by1) (abs $ ay2-ay1) sortedObjs = sortBy @@ -127,19 +115,66 @@ tmap2 f (a,b) = (a, f b) packSome :: [(Box2,a)] -> Box2 -> ([(ℝ2,a)], [(Box2,a)]) - packSome (presObj@(((x1,y1),(x2,y2)),obj):otherBoxedObjs) box@((bx1, by1), (bx2, by2)) = + packSome (presObj@((V2 x1 y1,V2 x2 y2),obj):otherBoxedObjs) box@(V2 bx1 by1, V2 bx2 by2) = if abs (x2 - x1) <= abs (bx2-bx1) && abs (y2 - y1) <= abs (by2-by1) then let - row = tmap1 (((bx1-x1,by1-y1), obj):) $ - packSome otherBoxedObjs ((bx1+x2-x1+sep, by1), (bx2, by1 + y2-y1)) + row = tmap1 ((V2 (bx1-x1) (by1-y1), obj):) $ + packSome otherBoxedObjs (V2 (bx1+x2-x1+sep) by1, V2 bx2 (by1 + y2-y1)) rowAndUp = if abs (by2-by1) - abs (y2-y1) > sep then tmap1 (fst row <> ) $ - packSome (snd row) ((bx1, by1 + y2-y1+sep), (bx2, by2)) + packSome (snd row) (V2 bx1 (by1 + y2-y1+sep), V2 bx2 by2) else row in rowAndUp else tmap2 (presObj:) $ packSome otherBoxedObjs box packSome [] _ = ([], []) + +-- | Reflect a vector across a hyperplane defined by its normal vector. +-- +-- From https://en.wikipedia.org/wiki/Reflection_(mathematics)#Reflection_through_a_hyperplane_in_n_dimensions +reflect + :: (Num (f a), Fractional a, Metric f) + => f a -- ^ Mirror axis + -> f a -- ^ Vector to transform + -> f a +reflect a v = v - (2 * ((v `dot` a) / (a `dot` a))) *^ a + +-- | Lift a function over 'V3' into a function over 'ℝ3'. +alaV3 :: (V3 a -> V3 a) -> (a, a, a) -> (a, a, a) +alaV3 f = unpackV3 . f . packV3 +{-# INLINABLE alaV3 #-} + +packV3 :: (a, a, a) -> V3 a +packV3 (x, y, z) = V3 x y z +{-# INLINABLE packV3 #-} + +unpackV3 :: V3 a -> (a, a, a) +unpackV3 (V3 a a2 a3) = (a, a2, a3) +{-# INLINABLE unpackV3 #-} + +-- | Convert a 'Quaternion' to its constituent euler angles. +-- +-- From https://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles#Source_code_2 +quaternionToEuler :: RealFloat a => Quaternion a -> (a, a, a) +quaternionToEuler (Quaternion w (V3 x y z))= + let sinr_cosp = 2 * (w * x + y * z) + cosr_cosp = 1 - 2 * (x * x + y * y) + sinp = 2 * (w * y - z * x); + siny_cosp = 2 * (w * z + x * y); + cosy_cosp = 1 - 2 * (y * y + z * z); + pitch = if sinp >= 1 + then signum sinp * pi / 2 + else asin sinp + roll = atan2 sinr_cosp cosr_cosp + yaw = atan2 siny_cosp cosy_cosp + in (roll, pitch, yaw) + +------------------------------------------------------------------------------ +-- | Haskell's standard library doesn't make floating-point infinity available +-- in any convenient way, so we define it here. +infty :: (Fractional t) => t +infty = 1/0 +{-# INLINABLE infty #-} diff --git a/Graphics/Implicit/ObjectUtil.hs b/Graphics/Implicit/ObjectUtil.hs --- a/Graphics/Implicit/ObjectUtil.hs +++ b/Graphics/Implicit/ObjectUtil.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE diff --git a/Graphics/Implicit/ObjectUtil/GetBox2.hs b/Graphics/Implicit/ObjectUtil/GetBox2.hs --- a/Graphics/Implicit/ObjectUtil/GetBox2.hs +++ b/Graphics/Implicit/ObjectUtil/GetBox2.hs @@ -1,136 +1,64 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.ObjectUtil.GetBox2 (getBox2, getBox2R) where -import Prelude(Bool, Fractional, Eq, (==), (||), unzip, minimum, maximum, ($), filter, not, (.), (/), fmap, (-), (+), (*), cos, sin, sqrt, min, max, head, (<), (<>), pi, atan2, (==), (>), show, (&&), otherwise, error) - -import Graphics.Implicit.Definitions (ℝ, ℝ2, Box2, (⋯*), - SymbolicObj2(Shell2, Outset2, Circle, Translate2, Rotate2, UnionR2, Scale2, RectR, - PolygonR, Complement2, DifferenceR2, IntersectR2, EmbedBoxedObj2), minℝ) +import Prelude(pure, fmap, Eq, (==), (.), (<$>), (||), unzip, minimum, maximum, ($), (/), (-), (+), (*), cos, sin, sqrt, min, max, (<), (<>), pi, atan2, (==), (>), show, (&&), otherwise, error) -import Data.VectorSpace ((^-^), (^+^)) +import Graphics.Implicit.Definitions + ( SymbolicObj2(Square, Circle, Polygon, Rotate2, Transform2, Shared2), + SharedObj(IntersectR, Complement, UnionR, DifferenceR), + Box2, + ℝ2, + ℝ, + minℝ ) import Data.Fixed (mod') --- | An empty box. -emptyBox :: Box2 -emptyBox = ((0, 0), (0, 0)) - --- | Is a Box2 empty? --- | Really, this checks if it is one dimensional, which is good enough. -isEmpty :: Box2 -> Bool -isEmpty ((a, b), (c, d)) = a==c || b==d - --- | Define a Box2 around all of the given points. -pointsBox :: [ℝ2] -> Box2 -pointsBox points = - let - (xs, ys) = unzip points - in - ((minimum xs, minimum ys), (maximum xs, maximum ys)) - --- | Decompose a box into it's four corners. -boxPoints :: Box2 -> [ℝ2] -boxPoints ((x1,y1),(x2,y2)) = [(x1,y1), (x1,y2), (x2,y1), (x2,y2)] - --- | Define a Box2 around all of the given boxes. -unionBoxes :: [Box2] -> Box2 -unionBoxes boxes = - let - (leftbot, topright) = unzip $ filter (not.isEmpty) boxes - (lefts, bots) = unzip leftbot - (rights, tops) = unzip topright - in - ((minimum lefts, minimum bots), (maximum rights, maximum tops)) - --- | Define a Box2 that is the intersection of all of the given Box2s. -intersectBoxes :: [Box2] -> Box2 -intersectBoxes [] = emptyBox -intersectBoxes [x] = x -intersectBoxes (x:xs) = if nmaxx > nminx && nmaxy > nminy - then ((nminx, nminy), (nmaxx, nmaxy)) - else emptyBox - where - ((nminx, nminy), (nmaxx, nmaxy)) = ((max xmin1 xmin2, max ymin1 ymin2), (min xmax1 xmax2, min ymax1 ymax2)) - ((xmin1, ymin1), (xmax1, ymax1)) = x - ((xmin2, ymin2), (xmax2, ymax2)) = intersectBoxes xs +import Graphics.Implicit.ObjectUtil.GetBoxShared (emptyBox, corners, outsetBox, intersectBoxes, pointsBox, getBoxShared, unionBoxes) --- | Increase a boxes size by a rounding value. -outsetBox :: ℝ -> Box2 -> Box2 -outsetBox r (a,b) = - (a ^-^ (r,r), b ^+^ (r,r)) +-- To construct vectors of ℝs. +import Linear (V2(V2), V3(V3)) +import qualified Linear -- Get a Box2 around the given object. getBox2 :: SymbolicObj2 -> Box2 -- Primitives -getBox2 (RectR _ a b) = (a,b) -getBox2 (Circle r) = ((-r, -r), (r,r)) -getBox2 (PolygonR _ points) = pointsBox points +getBox2 (Square size) = (pure 0, size) +getBox2 (Circle r) = (pure (-r), pure r) +getBox2 (Polygon points) = pointsBox points -- (Rounded) CSG -getBox2 (Complement2 _) = - ((-infty, -infty), (infty, infty)) - where - infty :: (Fractional t) => t - infty = 1/0 -getBox2 (UnionR2 r symbObjs) = - outsetBox r $ unionBoxes (fmap getBox2 symbObjs) -getBox2 (DifferenceR2 _ symbObjs) = getBox2 $ head symbObjs -getBox2 (IntersectR2 r symbObjs) = - outsetBox r $ intersectBoxes $ filter (not.isEmpty) $ fmap getBox2 symbObjs -- Simple transforms -getBox2 (Translate2 v symbObj) = - let - (a,b) = getBox2 symbObj - in - if isEmpty (a,b) - then emptyBox - else (a^+^v, b^+^v) -getBox2 (Scale2 s symbObj) = - let - (a,b) = getBox2 symbObj - (sax, say) = s ⋯* a - (sbx, sby) = s ⋯* b - in - ((min sax sbx, min say sby), (max sax sbx, max say sby)) getBox2 (Rotate2 θ symbObj) = - let - ((x1,y1), (x2,y2)) = getBox2 symbObj - rotate (x,y) = (x*cos θ - y*sin θ, x*sin θ + y*cos θ) - in - pointsBox [ rotate (x1, y1) - , rotate (x1, y2) - , rotate (x2, y1) - , rotate (x2, y2) - ] --- Boundary mods -getBox2 (Shell2 w symbObj) = - outsetBox (w/2) $ getBox2 symbObj -getBox2 (Outset2 d symbObj) = - outsetBox d $ getBox2 symbObj --- Misc -getBox2 (EmbedBoxedObj2 (_,box)) = box + let rotate (V2 x y) = V2 (x*cos θ - y*sin θ) (x*sin θ + y*cos θ) + in pointsBox $ fmap rotate $ corners $ getBox2 symbObj +getBox2 (Transform2 m symbObj) = + let box = getBox2 symbObj + augment (V2 x y) = (V3 x y 1) + normalize (V3 x y w) = (V2 (x/w) (y/w)) + in pointsBox $ normalize . (m Linear.!*) . augment <$> corners box +getBox2 (Shared2 obj) = getBoxShared obj -- | Define a Box2 around the given object, and the space it occupies while rotating about the center point. --- Note: No implementations for RectR, Translate2, or Scale2 as they would be identical to the fallthrough. +-- Note: No implementations for Square, Translate2, or Scale2 as they would be identical to the fallthrough. getBox2R :: SymbolicObj2 -> ℝ -> Box2 getBox2R (Circle r) _ = getBox2 $ Circle r -getBox2R (PolygonR _ points) deg = +getBox2R (Polygon points) deg = let pointRBoxes = [ pointRBox point deg | point <- points ] (pointValsMin, pointValsMax) = unzip pointRBoxes - (pointValsX, pointValsY) = unzip (pointValsMin <> pointValsMax) - in - ((minimum pointValsX, minimum pointValsY), (maximum pointValsX, maximum pointValsY)) -getBox2R (Complement2 symObj) _ = getBox2 $ Complement2 symObj -getBox2R (UnionR2 r symObjs) deg = - let - boxes = [ getBox2R obj deg| obj <- symObjs ] + unbox :: ℝ2 -> (ℝ, ℝ) + unbox (V2 x y) = (x, y) + (pointValsX, pointValsY) = unzip $ fmap unbox $ pointValsMin <> pointValsMax in - outsetBox r $ unionBoxes boxes -getBox2R (DifferenceR2 _ symObjs) deg = getBox2R (head symObjs) deg -getBox2R (IntersectR2 r symObjs) deg = + (V2 (minimum pointValsX)( minimum pointValsY), V2 (maximum pointValsX) (maximum pointValsY)) +getBox2R (Shared2 (Complement symObj)) _ = getBox2 $ Shared2 (Complement symObj) +getBox2R (Shared2 (UnionR r symObjs)) deg = + unionBoxes r $ fmap (`getBox2R` deg) symObjs +getBox2R (Shared2 (DifferenceR _ symObj _)) deg = getBox2R symObj deg +getBox2R (Shared2 (IntersectR r symObjs)) deg = let boxes = [ getBox2R obj deg| obj <- symObjs ] in @@ -140,9 +68,9 @@ getBox2R symObj deg = let origBox = getBox2 symObj - points = boxPoints origBox + points = corners origBox in - getBox2R (PolygonR 0 points) deg + getBox2R (Polygon points) deg data Quadrant = UpperRight | UpperLeft | LowerRight | LowerLeft deriving Eq @@ -156,16 +84,19 @@ -- | put a box around a point, and all of the locations it will be at during an x degree arc around (0,0). pointRBox :: ℝ2 -> ℝ -> Box2 -pointRBox (xStart, yStart) travel = +pointRBox (V2 xStart yStart) travel = let k :: ℝ k = pi/180 - -- distance betwen (0,0) and our target. + -- determine the distance of our input point from from the axis of rotation. distance = sqrt $ xStart*xStart + yStart*yStart -- radian starting position. θstart = atan2 yStart xStart -- logical starting position startPosition = positionOf distance $ absrad θstart + + -- take the input point. rotate it. see where it stops. + -- how far we should rotate our point. rotationAmount = travel * k -- what direction are we rotating. @@ -184,6 +115,10 @@ OnAxis NegX -> (-distance,0) OnAxis NegY -> (0,-distance) InQuadrant _ -> ( distance*cos θstop, distance*sin θstop) + + -- observe what the initial position was, and what the end position is. + -- check which quadrants they're in, and what direction the rotation was. + (minX, minY, maxX, maxY) = (min xStart xStop, min yStart yStop, max xStart xStop, max yStart yStop) positionOf :: ℝ -> ℝ -> Position positionOf d θpos @@ -203,9 +138,16 @@ | rad > (360*k) = rad `mod'` (360*k) | rad < 0 = absrad (360*k)+rad | otherwise = rad + + -- now, if you passed through an axis, then the box must be expanded to include distance from axis of rotation in that direction. + -- otherwise, put a box around the start and stop positions. + + distanceBox :: Box2 + distanceBox = (pure (-distance), pure distance) + noAxis :: Quadrant -> Quadrant -> Direction -> ℝ -> Box2 noAxis q1 q2 dir amount - | q1 == q2 && amount < 90*k && amount > -90*k = ((minX, minY), (maxX, maxY)) + | q1 == q2 && amount < 90*k && amount > -90*k = (V2 minX minY, V2 maxX maxY) | dir == Clockwise && q1 == UpperLeft = oneAxis PosY q2 dir amount | dir == Clockwise && q1 == LowerRight = oneAxis PosX q2 dir amount | dir == Clockwise && q1 == LowerLeft = oneAxis NegY q2 dir amount @@ -214,7 +156,7 @@ | dir == CounterClockwise && q1 == UpperLeft = oneAxis PosY q2 dir amount | dir == CounterClockwise && q1 == LowerLeft = oneAxis NegX q2 dir amount | dir == CounterClockwise && q1 == LowerRight = oneAxis NegY q2 dir amount - noAxis _ _ _ _ = ((-distance, -distance), (distance, distance)) + noAxis _ _ _ _ = distanceBox oneAxis :: Axis -> Quadrant -> Direction -> ℝ -> Box2 oneAxis axis quadrant dir amount | dir == Clockwise && @@ -222,13 +164,13 @@ ((axis == PosX && quadrant == LowerRight) || (axis == NegY && quadrant == LowerLeft) || (axis == NegX && quadrant == UpperLeft) || - (axis == PosY && quadrant == UpperRight)) = ((minX, minY), (maxX, maxY)) + (axis == PosY && quadrant == UpperRight)) = (V2 minX minY, V2 maxX maxY) | dir == CounterClockwise && amount < 90*k && amount > -90*k && ((axis == PosX && quadrant == UpperRight) || (axis == PosY && quadrant == UpperLeft) || (axis == NegX && quadrant == LowerLeft) || - (axis == NegY && quadrant == LowerRight)) = ((minX, minY), (maxX, maxY)) + (axis == NegY && quadrant == LowerRight)) = (V2 minX minY, V2 maxX maxY) | dir == Clockwise && ((axis == PosX && quadrant == LowerLeft) || (axis == NegY && quadrant == UpperLeft) || @@ -259,11 +201,11 @@ (axis == NegY && quadrant == LowerLeft) || (axis == NegX && quadrant == UpperLeft) || (axis == PosY && quadrant == UpperRight)) = crossThree axis - | otherwise = ((-distance, -distance), (distance, distance)) + | otherwise = distanceBox twoAxis :: Axis -> Axis -> Direction -> Box2 twoAxis start stop dir | (start == PosX && stop == NegX) || - (start == PosY && stop == NegY) || + (start == PosY && stop == NegY) || (start == NegX && stop == PosX) || (start == NegY && stop == PosY) = crossOne start dir twoAxis start stop dir @@ -271,15 +213,15 @@ (start == NegY && stop == NegX) || (start == NegX && stop == PosY) || (start == PosY && stop == PosX) = if dir == Clockwise - then ((minX, minY), (maxX, maxY)) + then (V2 minX minY, V2 maxX maxY) else crossTwo start dir | (start == PosX && stop == PosY) || (start == PosY && stop == NegX) || (start == NegX && stop == NegY) || (start == NegY && stop == PosX) = if dir == CounterClockwise - then ((minX, minY), (maxX, maxY)) + then (V2 minX minY, V2 maxX maxY) else crossTwo start dir - twoAxis _ _ _ = ((-distance, -distance), (distance, distance)) + twoAxis _ _ _ = distanceBox crossOne :: Axis -> Direction -> Box2 crossOne start dir | (start == PosX && dir == Clockwise) || @@ -290,7 +232,7 @@ (start == PosX && dir == CounterClockwise) = mixWith [(0, distance)] | (start == PosY && dir == Clockwise) || (start == NegY && dir == CounterClockwise) = mixWith [( distance, 0)] - | otherwise = ((-distance, -distance), (distance, distance)) + | otherwise = distanceBox crossTwo :: Axis -> Direction -> Box2 crossTwo start dir | (start == PosX && dir == Clockwise) || @@ -301,22 +243,23 @@ (start == NegY && dir == CounterClockwise) = mixWith [( distance, 0), ( 0, distance)] | (start == NegY && dir == Clockwise) || (start == PosX && dir == CounterClockwise) = mixWith [(-distance, 0), ( 0, distance)] - | otherwise = ((-distance, -distance), (distance, distance)) + | otherwise = distanceBox crossThree :: Axis -> Box2 crossThree PosX = mixWith [( 0, distance), (-distance, 0), ( 0,-distance)] crossThree PosY = mixWith [(-distance, 0), ( 0,-distance), ( distance, 0)] crossThree NegX = mixWith [( 0,-distance), ( distance, 0), ( 0, distance)] crossThree NegY = mixWith [( distance, 0), ( 0, distance), (-distance, 0)] - mixWith :: [ℝ2] -> Box2 - mixWith points = ((minimum xPoints, minimum yPoints), (maximum xPoints, maximum yPoints)) + -- TODO(sandy): clean me up to not use pairs + mixWith :: [(ℝ,ℝ)] -> Box2 + mixWith points = (V2 (minimum xPoints) (minimum yPoints), V2 (maximum xPoints) (maximum yPoints)) where - (xPoints, yPoints) = unzip $ points <> [(xStart, yStart), (xStop, yStop)] + (xPoints, yPoints) = unzip $ points <> [(xStart, yStart), (xStop, yStop)] invertRotation :: Direction -> Direction invertRotation Clockwise = CounterClockwise invertRotation CounterClockwise = Clockwise in case rotationDirection of - None -> ((xStart, yStart),(xStart, yStart)) + None -> (V2 xStart yStart, V2 xStart yStart) Rotation dir -> case rotationAmount of amount | amount < 360*k && amount > -360*k -> case startPosition of @@ -330,5 +273,5 @@ InQuadrant stopquadrant -> noAxis quadrant stopquadrant dir travel CenterPoint -> emptyBox _ -> - ((-distance, -distance), (distance, distance)) + (pure (-distance), pure distance) diff --git a/Graphics/Implicit/ObjectUtil/GetBox3.hs b/Graphics/Implicit/ObjectUtil/GetBox3.hs --- a/Graphics/Implicit/ObjectUtil/GetBox3.hs +++ b/Graphics/Implicit/ObjectUtil/GetBox3.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) @@ -5,123 +6,60 @@ module Graphics.Implicit.ObjectUtil.GetBox3 (getBox3) where -import Prelude(Eq, Bool(False), Fractional, Either (Left, Right), (==), (||), max, (/), (-), (+), fmap, unzip, ($), filter, not, (.), unzip3, minimum, maximum, min, (>), (&&), head, (*), (<), abs, either, error, const, otherwise, take, fst, snd) +import Prelude(uncurry, pure, Bool(False), Either (Left, Right), (==), max, (/), (-), (+), fmap, unzip, ($), (<$>), (.), minimum, maximum, min, (>), (*), (<), abs, either, const, otherwise, take, fst, snd) -import Graphics.Implicit.Definitions (ℝ, Fastℕ, Box3, SymbolicObj3 (Rect3R, Sphere, Cylinder, Complement3, UnionR3, IntersectR3, DifferenceR3, Translate3, Scale3, Rotate3, Rotate3V, Shell3, Outset3, EmbedBoxedObj3, ExtrudeR, ExtrudeOnEdgeOf, ExtrudeRM, RotateExtrude, ExtrudeRotateR), SymbolicObj2 (Rotate2, RectR), (⋯*), fromFastℕtoℝ, fromFastℕ) +import Graphics.Implicit.Definitions + ( Fastℕ, + fromFastℕ, + ExtrudeMScale(C2, C1), + SymbolicObj3(Shared3, Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeOnEdgeOf, ExtrudeM, RotateExtrude), + Box3, + ℝ, + fromFastℕtoℝ, + toScaleFn ) import Graphics.Implicit.ObjectUtil.GetBox2 (getBox2, getBox2R) -import Data.VectorSpace ((^-^), (^+^)) - --- FIXME: many variables are being ignored here. no rounding for intersect, or difference.. etc. - --- | An empty box. -emptyBox :: Box3 -emptyBox = ((0,0,0), (0,0,0)) +import Graphics.Implicit.ObjectUtil.GetBoxShared (corners, pointsBox, getBoxShared) --- | Is a Box3 empty? --- | Really, this checks if it is one dimensional, which is good enough. -isEmpty :: (Eq a2, Eq a1, Eq a) => - ((a, a1, a2), (a, a1, a2)) -> Bool -isEmpty ((a,b,c),(d,e,f)) = a==d || b==e || c==f +import Linear (V2(V2), V3(V3)) +import qualified Linear --- | Increase a boxes size by a rounding value. -outsetBox :: ℝ -> Box3 -> Box3 -outsetBox r (a,b) = - (a ^-^ (r,r,r), b ^+^ (r,r,r)) +-- FIXME: many variables are being ignored here. no rounding for intersect, or difference.. etc. -- Get a Box3 around the given object. getBox3 :: SymbolicObj3 -> Box3 -- Primitives -getBox3 (Rect3R _ a b) = (a,b) -getBox3 (Sphere r) = ((-r, -r, -r), (r,r,r)) -getBox3 (Cylinder h r1 r2) = ( (-r,-r,0), (r,r,h) ) where r = max r1 r2 +getBox3 (Shared3 obj) = getBoxShared obj +getBox3 (Cube size) = (pure 0, size) +getBox3 (Sphere r) = (pure (-r), pure r) +getBox3 (Cylinder h r1 r2) = (V3 (-r) (-r) 0, V3 r r h ) where r = max r1 r2 -- (Rounded) CSG -getBox3 (Complement3 _) = - ((-infty, -infty, -infty), (infty, infty, infty)) - where - infty :: (Fractional t) => t - infty = 1/0 -getBox3 (UnionR3 r symbObjs) = outsetBox r ((left,bot,inward), (right,top,out)) - where - boxes = fmap getBox3 symbObjs - (leftbot, topright) = unzip $ filter (not.isEmpty) boxes - (lefts, bots, ins) = unzip3 leftbot - (rights, tops, outs) = unzip3 topright - left = minimum lefts - bot = minimum bots - inward = minimum ins - right = maximum rights - top = maximum tops - out = maximum outs -getBox3 (DifferenceR3 _ symbObjs) = getBox3 $ head symbObjs -getBox3 (IntersectR3 _ symbObjs) = - let - boxes = fmap getBox3 symbObjs - (leftbot, topright) = unzip boxes - (lefts, bots, ins) = unzip3 leftbot - (rights, tops, outs) = unzip3 topright - left = maximum lefts - bot = maximum bots - inward = maximum ins - right = minimum rights - top = minimum tops - out = minimum outs - in - if top > bot - && right > left - && out > inward - then ((left,bot,inward),(right,top,out)) - else emptyBox -- Simple transforms -getBox3 (Translate3 v symbObj) = - let - (a,b) = getBox3 symbObj - in - (a^+^v, b^+^v) -getBox3 (Scale3 s symbObj) = - let - (a,b) = getBox3 symbObj - (sax,say,saz) = s ⋯* a - (sbx,sby,sbz) = s ⋯* b - in - ((min sax sbx, min say sby, min saz sbz), (max sax sbx, max say sby, max saz sbz)) -getBox3 (Rotate3 (a, b, c) symbObj) = - let - ((x1, y1, z1), (x2, y2, z2)) = getBox3 symbObj - rotate v1 w1 v2 w2 angle = getBox2(Rotate2 angle $ RectR 0 (v1, w1) (v2, w2)) - ((y1', z1'), (y2', z2')) = rotate y1 z1 y2 z2 a - ((z1'', x1'), (z2'', x2')) = rotate z1' x1 z2' x2 b - ((x1'', y1''), (x2'', y2'')) = rotate x1' y1' x2' y2' c - (xs, ys, zs) = ([x1'', x2''], [y1'', y2''], [z1'', z2'']) - in - ((minimum xs, minimum ys, minimum zs), (maximum xs, maximum ys, maximum zs)) - -getBox3 (Rotate3V _ v symbObj) = getBox3 (Rotate3 v symbObj) --- Boundary mods -getBox3 (Shell3 w symbObj) = - outsetBox (w/2) $ getBox3 symbObj -getBox3 (Outset3 d symbObj) = - outsetBox d $ getBox3 symbObj +getBox3 (Rotate3 q symbObj) = + let box = getBox3 symbObj + in pointsBox $ Linear.rotate q <$> corners box +getBox3 (Transform3 m symbObj) = + let box = getBox3 symbObj + in pointsBox $ Linear.normalizePoint . (m Linear.!*) . Linear.point <$> corners box -- Misc -getBox3 (EmbedBoxedObj3 (_,box)) = box -- 2D Based -getBox3 (ExtrudeR _ symbObj h) = ((x1,y1,0),(x2,y2,h)) +getBox3 (Extrude symbObj h) = (V3 x1 y1 0, V3 x2 y2 h) where - ((x1,y1),(x2,y2)) = getBox2 symbObj + (V2 x1 y1, V2 x2 y2) = getBox2 symbObj getBox3 (ExtrudeOnEdgeOf symbObj1 symbObj2) = let - ((ax1,ay1),(ax2,ay2)) = getBox2 symbObj1 - ((bx1,by1),(bx2,by2)) = getBox2 symbObj2 + (V2 ax1 ay1, V2 ax2 ay2) = getBox2 symbObj1 + (V2 bx1 by1, V2 bx2 by2) = getBox2 symbObj2 in - ((bx1+ax1, by1+ax1, ay1), (bx2+ax2, by2+ax2, ay2)) + (V3 (bx1+ax1) (by1+ax1) ay1, V3 (bx2+ax2) (by2+ax2) ay2) -- FIXME: magic numbers: 0.2 and 11. -- FIXME: this may use an approximation, based on sampling functions. generate a warning if the approximation part of this function is used. -- FIXME: re-implement the expression system, so this can recieve a function, and determine class (constant, linear)... and implement better forms of this function. -getBox3 (ExtrudeRM _ twist scale translate symbObj height) = +getBox3 (ExtrudeM twist scale translate symbObj height) = let - ((x1,y1),(x2,y2)) = getBox2 symbObj - (dx,dy) = (x2 - x1, y2 - y1) + (V2 x1 y1, V2 x2 y2) = getBox2 symbObj + (dx, dy) = (x2 - x1, y2 - y1) samples :: Fastℕ samples = 11 @@ -135,49 +73,54 @@ Left hval -> hval Right hfun -> hmax + hfuzz*(hmax-hmin) where - hs = [hfun (x,y) | x <- xrange, y <- yrange] + hs = [hfun $ V2 x y | x <- xrange, y <- yrange] (hmin, hmax) = (minimum hs, maximum hs) hrange = fmap ((/ fromFastℕtoℝ (samples-1)) . (h*) . fromFastℕtoℝ) range (twistXmin, twistYmin, twistXmax, twistYmax) = let - scale' = case scale of - Left sval -> sval - Right sfun -> maximum $ fmap (abs . sfun) hrange - smin v = min v (scale' * v) - smax v = max v (scale' * v) + both f (a, b) = (f a, f b) + (V2 scalex' scaley') = case scale of + C1 s -> V2 s s + C2 s -> s + s -> pack $ both maximum . unzip $ fmap unpack $ fmap abs . toScaleFn s <$> hrange + smin s v = min v (s * v) + smax s v = max v (s * v) -- FIXME: assumes minimums are negative, and maximums are positive. - scaleVal d = scale' * d - scaleEach ((d1, d2),(d3, d4)) = (scaleVal d1, scaleVal d2, scaleVal d3, scaleVal d4) + scaleEach (V2 d1 d2, V2 d3 d4) = (scalex' * d1, scaley' * d2, scalex' * d3, scaley' * d4) in case twist of Left twval -> if twval == 0 - then (smin x1, smin y1, smax x2, smax y2) + then (smin scalex' x1, smin scaley' y1, smax scalex' x2, smax scaley' y2) else scaleEach $ getBox2R symbObj twval Right _ -> scaleEach $ getBox2R symbObj 360 -- we can't range functions yet, so assume a full circle. (tminx, tmaxx, tminy, tmaxy) = let - tvalsx :: (ℝ -> (ℝ, ℝ)) -> [ℝ] - tvalsx tfun = fmap (fst . tfun) hrange - tvalsy :: (ℝ -> (ℝ, ℝ)) -> [ℝ] - tvalsy tfun = fmap (snd . tfun) hrange + tvalsx :: (ℝ -> V2 ℝ) -> [ℝ] + tvalsx tfun = fmap (fst . unpack . tfun) hrange + tvalsy :: (ℝ -> V2 ℝ) -> [ℝ] + tvalsy tfun = fmap (snd . unpack . tfun) hrange in case translate of - Left (tvalx, tvaly) -> (tvalx, tvalx, tvaly, tvaly) - Right tfun -> (minimum $ tvalsx tfun, maximum $ tvalsx tfun, minimum $ tvalsy tfun, maximum $ tvalsy tfun) + Left (V2 tvalx tvaly) -> (tvalx, tvalx, tvaly, tvaly) + Right tfun -> ( minimum $ tvalsx tfun + , maximum $ tvalsx tfun + , minimum $ tvalsy tfun + , maximum $ tvalsy tfun + ) in - ((twistXmin + tminx, twistYmin + tminy, 0),(twistXmax + tmaxx, twistYmax + tmaxy, h)) + (V3 (twistXmin + tminx) (twistYmin + tminy) 0, V3 (twistXmax + tmaxx) (twistYmax + tmaxy) h) -- Note: Assumes x2 is always greater than x1. -- FIXME: Insert the above assumption as an assertion in the type system? -getBox3 (RotateExtrude _ _ (Left (xshift,yshift)) _ symbObj) = +getBox3 (RotateExtrude _ (Left (V2 xshift yshift)) _ symbObj) = let - ((_,y1),(x2,y2)) = getBox2 symbObj + (V2 _ y1, V2 x2 y2) = getBox2 symbObj r = max x2 (x2 + xshift) in - ((-r, -r, min y1 (y1 + yshift)),(r, r, max y2 (y2 + yshift))) + (V3 (-r) (-r) $ min y1 (y1 + yshift), V3 r r $ max y2 (y2 + yshift)) -- FIXME: magic numbers: 0.1, 1.1, and 11. -- FIXME: this may use an approximation, based on sampling functions. generate a warning if the approximation part of this function is used. -- FIXME: re-implement the expression system, so this can recieve a function, and determine class (constant, linear)... and implement better forms of this function. -getBox3 (RotateExtrude rot _ (Right f) rotate symbObj) = +getBox3 (RotateExtrude rot (Right f) rotate symbObj) = let samples :: Fastℕ samples = 11 @@ -188,8 +131,8 @@ range :: [Fastℕ] range = [0, 1 .. (samples-1)] step = rot/fromFastℕtoℝ (samples-1) - ((x1,y1),(x2,y2)) = getBox2 symbObj - (xrange, yrange) = unzip $ take (fromFastℕ samples) $ fmap (f . (step*) . fromFastℕtoℝ) range + (V2 x1 y1, V2 x2 y2) = getBox2 symbObj + (xrange, yrange) = unzip $ fmap unpack $ take (fromFastℕ samples) $ fmap (f . (step*) . fromFastℕtoℝ) range xmax = maximum xrange ymax = maximum yrange ymin = minimum yrange @@ -204,6 +147,11 @@ in (s + xmax', s + ymin', y2 + ymax') else (x2 + xmax', y1 + ymin', y2 + ymax') in - ((-r, -r, y1 + ymin'),(r, r, y2 + ymax')) --- FIXME: add case for ExtrudeRotateR! -getBox3 ExtrudeRotateR{} = error "ExtrudeRotateR implementation incomplete!" + (V3 (-r) (-r) $ y1 + ymin', V3 r r $ y2 + ymax') + +unpack :: V2 a -> (a, a) +unpack (V2 a b) = (a, b) + +pack :: (a, a) -> V2 a +pack = uncurry V2 + diff --git a/Graphics/Implicit/ObjectUtil/GetBoxShared.hs b/Graphics/Implicit/ObjectUtil/GetBoxShared.hs new file mode 100644 --- /dev/null +++ b/Graphics/Implicit/ObjectUtil/GetBoxShared.hs @@ -0,0 +1,163 @@ +{- ORMOLU_DISABLE -} +-- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) +-- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +-- Released under the GNU AGPLV3+, see LICENSE +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE MultiParamTypeClasses #-} +{-# LANGUAGE ScopedTypeVariables #-} + +module Graphics.Implicit.ObjectUtil.GetBoxShared (VectorStuff(uniformV, elements, corners), intersectBoxes, emptyBox, pointsBox, unionBoxes, outsetBox, getBoxShared) where + +import Prelude (Num, (-), (+), pure, (==), max, min, foldr, (/), ($), fmap, (.), not, filter, foldMap, Fractional, Bool, Eq) +import {-# SOURCE #-} Graphics.Implicit.Primitives + ( Object(getBox) ) +import Graphics.Implicit.Definitions + ( SharedObj(Empty, Full, Complement, UnionR, DifferenceR, IntersectR, Translate, Scale, Mirror, Shell, Outset, EmbedBoxedObj, WithRounding), ComponentWiseMultable((⋯*)), ℝ3, ℝ2, ℝ ) +import Graphics.Implicit.MathUtil (infty, reflect ) +import Linear (Metric, V2(V2), V3(V3)) +import Data.Foldable (Foldable(toList)) +import Control.Applicative (Applicative(liftA2)) + +------------------------------------------------------------------------------ +-- | Ad-hoc methods we need to share code between 2D and 3D. With the exception +-- of 'corners', these are actually all standard methods of other classes, +-- which we don't have access to due to the choice representation for R2 and +-- R3. +-- +-- This class is unnecessary if we were to implement #283. +class VectorStuff vec where + -- | Equivalent to 'Prelude.pure' + uniformV :: ℝ -> vec + -- | Equivalent to 'Control.Applicative.liftA2' + pointwise :: (ℝ -> ℝ -> ℝ) -> vec -> vec -> vec + -- | Equivalent to 'Data.Foldable.toList' + elements :: vec -> [ℝ] + -- | Given a bounding box, produce the points at each corner. + corners :: (vec, vec) -> [vec] + +instance VectorStuff ℝ2 where + uniformV = pure + corners (p1@(V2 x1 y1), p2@(V2 x2 y2)) = + [ p1 + , V2 x1 y2 + , V2 x2 y1 + , p2 + ] + pointwise = liftA2 + elements = toList + {-# INLINABLE uniformV #-} + {-# INLINABLE pointwise #-} + {-# INLINABLE elements #-} + {-# INLINABLE corners #-} + +instance VectorStuff ℝ3 where + uniformV = pure + corners (p1@(V3 x1 y1 z1), p2@(V3 x2 y2 z2)) = + [ p1 + , V3 x1 y2 z1 + , V3 x2 y2 z1 + , V3 x2 y1 z1 + , V3 x1 y1 z2 + , V3 x2 y1 z2 + , V3 x1 y2 z2 + , p2 + ] + pointwise = liftA2 + elements = toList + {-# INLINABLE uniformV #-} + {-# INLINABLE pointwise #-} + {-# INLINABLE elements #-} + {-# INLINABLE corners #-} + +------------------------------------------------------------------------------ +-- | Compute the intersection of dimensionality-polymorphic bounding boxes. +intersectBoxes + :: (VectorStuff a) => [(a, a)] -> (a, a) +intersectBoxes [] = fullBox +intersectBoxes (b : boxes) + = foldr (biapp (pointwise max) (pointwise min)) b boxes +{-# INLINABLE intersectBoxes #-} + +------------------------------------------------------------------------------ +-- | Apply two functions elementwise across pairs. This is the biapplicative +-- operation specialized to pairs. +biapp + :: (a -> b -> c) + -> (d -> e -> f) + -> (a, d) + -> (b, e) + -> (c, f) +biapp f g (a1, b1) (a2, b2) = (f a1 a2, g b1 b2) +{-# INLINABLE biapp #-} + +-- | An empty box. +emptyBox :: (Applicative f, Num a) => (f a, f a) +emptyBox = (pure 0, pure 0) +{-# INLINABLE emptyBox #-} + +-- | A full box. +fullBox :: (VectorStuff vec) => (vec, vec) +fullBox = (uniformV (-infty), uniformV infty) +{-# INLINABLE fullBox #-} + +-- | Define a box around all of the given points. +pointsBox :: (Applicative f, Num a, VectorStuff (f a)) => [f a] -> (f a, f a) +pointsBox [] = emptyBox +pointsBox (a : as) = (foldr (pointwise min) a as, foldr (pointwise max) a as) + +------------------------------------------------------------------------------ +-- | Compute the intersection of dimensionality-polymorphic bounding boxes. +unionBoxes :: (VectorStuff (f a), Applicative f, Eq (f a), Num a, Num (f a)) => ℝ -> [(f a, f a)] -> (f a, f a) +unionBoxes r + = outsetBox r + . pointsBox + . foldMap corners + . filter (not . isEmpty) + +-- | Is a box empty? +isEmpty :: (Eq (f a), Applicative f, Num a, Num (f a)) => (f a, f a) -> Bool +isEmpty (v1, v2) = (v1 - v2) == pure 0 + +-- | Increase a boxes size by a rounding value. +outsetBox :: (VectorStuff a, Num a) => ℝ -> (a, a) -> (a, a) +outsetBox r (a, b) = (a - uniformV r, b + uniformV r) + +-- Get a box around the given object. +getBoxShared + :: forall obj f a + . ( Object obj f a, VectorStuff (f a), ComponentWiseMultable (f a), Fractional a, Metric f) + => SharedObj obj f a + -> (f a, f a) +-- Primitives +getBoxShared Empty = emptyBox +getBoxShared Full = fullBox +-- (Rounded) CSG +getBoxShared (Complement _) = fullBox +getBoxShared (UnionR r symbObjs) = unionBoxes r $ fmap getBox symbObjs +getBoxShared (DifferenceR _ symbObj _) = getBox symbObj +getBoxShared (IntersectR _ symbObjs) = + intersectBoxes $ + fmap getBox symbObjs +-- -- Simple transforms +getBoxShared (Translate v symbObj) = + let (a :: f a, b) = getBox symbObj + in (a + v, b + v) +getBoxShared (Scale s symbObj) = + let + (a :: f a, b) = getBox symbObj + sa = s ⋯* a + sb = s ⋯* b + in pointsBox [sa, sb] +getBoxShared (Mirror v symbObj) = + pointsBox $ fmap (reflect v) $ corners $ getBox symbObj +-- Boundary mods +getBoxShared (Shell w symbObj) = + outsetBox (w/2) $ getBox symbObj +getBoxShared (Outset d symbObj) = + outsetBox d $ getBox symbObj +-- Misc +getBoxShared (WithRounding _ obj) = getBox obj +getBoxShared (EmbedBoxedObj (_,box)) = box + diff --git a/Graphics/Implicit/ObjectUtil/GetImplicit2.hs b/Graphics/Implicit/ObjectUtil/GetImplicit2.hs --- a/Graphics/Implicit/ObjectUtil/GetImplicit2.hs +++ b/Graphics/Implicit/ObjectUtil/GetImplicit2.hs @@ -1,37 +1,54 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE +{-# LANGUAGE TypeApplications #-} +{-# LANGUAGE ViewPatterns #-} + module Graphics.Implicit.ObjectUtil.GetImplicit2 (getImplicit2) where -import Prelude(abs, (-), (/), sqrt, (*), (+), mod, length, fmap, (<=), (&&), (>=), (||), odd, ($), (>), filter, (<), minimum, max, cos, sin, head, tail, (.)) +import Prelude(cycle, (/=), uncurry, fst, Eq, zip, drop, abs, (-), (/), sqrt, (*), (+), length, fmap, (<=), (&&), (>=), (||), odd, ($), (>), filter, (<), minimum, (.), sin, cos) -import Graphics.Implicit.Definitions (ℝ, ℕ, ℝ2, (⋯/), Obj2, SymbolicObj2(RectR, Circle, PolygonR, Complement2, UnionR2, DifferenceR2, IntersectR2, Translate2, Scale2, Rotate2, Shell2, Outset2, EmbedBoxedObj2)) +import Graphics.Implicit.Definitions + ( objectRounding, ObjectContext, SymbolicObj2(Square, Circle, Polygon, Rotate2, Transform2, Shared2), SharedObj (Empty), Obj2, ℝ2, ℝ ) -import Graphics.Implicit.MathUtil (rminimum, rmaximum, distFromLineSeg) +import Graphics.Implicit.MathUtil + ( distFromLineSeg, rmaximum ) -import Data.VectorSpace ((^-^)) -import Data.List (nub, genericIndex, genericLength) +import Data.List (nub) +import Graphics.Implicit.ObjectUtil.GetImplicitShared (getImplicitShared) +import Linear (V2(V2), V3(V3)) +import qualified Linear -getImplicit2 :: SymbolicObj2 -> Obj2 +------------------------------------------------------------------------------ +-- | Filter out equal consecutive elements in the list. This function will +-- additionally trim the last element of the list if it's equal to the first. +scanUniqueCircular :: Eq a => [a] -> [a] +scanUniqueCircular + = fmap fst + . filter (uncurry (/=)) + . circularPairs + +------------------------------------------------------------------------------ +-- | Given @[a, b, c, ... n]@, return the pairs @[(a, b), (b, c), ... (n, a)]@. +circularPairs :: [a] -> [(a,a)] +circularPairs as = zip as $ drop 1 $ cycle as + +getImplicit2 :: ObjectContext -> SymbolicObj2 -> Obj2 -- Primitives -getImplicit2 (RectR r (x1,y1) (x2,y2)) = - \(x,y) -> let - (dx, dy) = (x2-x1, y2-y1) - in - rmaximum r [abs (x-dx/2-x1) - dx/2, abs (y-dy/2-y1) - dy/2] -getImplicit2 (Circle r) = - \(x,y) -> sqrt (x * x + y * y) - r +getImplicit2 ctx (Square (V2 dx dy)) = + \(V2 x y) -> rmaximum (objectRounding ctx) [abs (x-dx/2) - dx/2, abs (y-dy/2) - dy/2] +getImplicit2 _ (Circle r) = + \(V2 x y) -> sqrt (x * x + y * y) - r -- FIXME: stop ignoring rounding for polygons. -getImplicit2 (PolygonR _ points) = +getImplicit2 _ (Polygon (scanUniqueCircular -> points@(_:_:_:_))) = \p -> let - pair :: ℕ -> (ℝ2,ℝ2) - pair n = (points `genericIndex` n, points `genericIndex` mod (n + 1) (genericLength points) ) pairs :: [(ℝ2,ℝ2)] - pairs = [ pair n | n <- [0 .. genericLength points - 1] ] - relativePairs = fmap (\(a,b) -> (a ^-^ p, b ^-^ p) ) pairs + pairs = circularPairs points + relativePairs = fmap (\(a,b) -> (a - p, b - p) ) pairs crossing_points = - [x2 ^-^ y2*(x2-x1)/(y2-y1) | ((x1,y1), (x2,y2)) <-relativePairs, + [x2 - y2*(x2-x1)/(y2-y1) | (V2 x1 y1, V2 x2 y2) <- relativePairs, ( (y2 <= 0) && (y1 >= 0) ) || ( (y2 >= 0) && (y1 <= 0) ) ] -- FIXME: use partition instead? seemsInRight = odd . length . filter (>0) $ nub crossing_points @@ -41,58 +58,19 @@ dists = fmap (distFromLineSeg p) pairs in minimum dists * if isIn then -1 else 1 +getImplicit2 ctx (Polygon _) = getImplicitShared @SymbolicObj2 ctx Empty -- (Rounded) CSG -getImplicit2 (Complement2 symbObj) = - \p -> let - obj = getImplicit2 symbObj - in - - obj p -getImplicit2 (UnionR2 r symbObjs) = - \p -> let - objs = fmap getImplicit2 symbObjs +getImplicit2 ctx (Rotate2 θ symbObj) = + \(V2 x y) -> let + obj = getImplicit2 ctx symbObj in - rminimum r $ fmap ($p) objs -getImplicit2 (DifferenceR2 r symbObjs) = + obj $ V2 (x*cos θ + y*sin θ) (y*cos θ - x*sin θ) +getImplicit2 ctx (Transform2 m symbObj) = + \vin -> let - objs = fmap getImplicit2 symbObjs - obj = head objs - complement :: Obj2 -> ℝ2 -> ℝ - complement obj' p = - obj' p - in - \p -> rmaximum r . fmap ($p) $ obj:fmap complement (tail objs) -getImplicit2 (IntersectR2 r symbObjs) = - \p -> let - objs = fmap getImplicit2 symbObjs - in - rmaximum r $ fmap ($p) objs --- Simple transforms -getImplicit2 (Translate2 v symbObj) = - \p -> let - obj = getImplicit2 symbObj - in - obj (p ^-^ v) -getImplicit2 (Scale2 s@(sx,sy) symbObj) = - \p -> let - obj = getImplicit2 symbObj - k = abs $ max sx sy - in - k * obj (p ⋯/ s) -getImplicit2 (Rotate2 θ symbObj) = - \(x,y) -> let - obj = getImplicit2 symbObj - in - obj ( x*cos θ + y*sin θ, y*cos θ - x*sin θ) --- Boundary mods -getImplicit2 (Shell2 w symbObj) = - \p -> let - obj = getImplicit2 symbObj - in - abs (obj p) - w/2 -getImplicit2 (Outset2 d symbObj) = - \p -> let - obj = getImplicit2 symbObj + obj = getImplicit2 ctx symbObj + augment (V2 x y) = (V3 x y 1) + normalize (V3 x y w) = (V2 (x/w) (y/w)) in - obj p - d --- Misc -getImplicit2 (EmbedBoxedObj2 (obj,_)) = obj - + obj $ (normalize . ((Linear.inv33 m) Linear.!*) . augment $ vin) +getImplicit2 ctx (Shared2 obj) = getImplicitShared ctx obj diff --git a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs --- a/Graphics/Implicit/ObjectUtil/GetImplicit3.hs +++ b/Graphics/Implicit/ObjectUtil/GetImplicit3.hs @@ -1,130 +1,60 @@ --- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +{- ORMOLU_DISABLE -} -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Released under the GNU AGPLV3+, see LICENSE module Graphics.Implicit.ObjectUtil.GetImplicit3 (getImplicit3) where -import Prelude (Either(Left, Right), abs, (-), (/), (*), sqrt, (+), atan2, max, cos, fmap, minimum, ($), (**), sin, pi, (.), Bool(True, False), ceiling, floor, pure, error, head, tail, (>), (&&), (<), (==), otherwise, (<$>)) - -import Graphics.Implicit.Definitions (ℝ, ℕ, ℝ2, ℝ3, (⋯/), Obj3, - SymbolicObj3(Shell3, UnionR3, IntersectR3, DifferenceR3, Translate3, Scale3, Rotate3, - Outset3, Rect3R, Sphere, Cylinder, Complement3, EmbedBoxedObj3, Rotate3V, - ExtrudeR, ExtrudeRM, ExtrudeOnEdgeOf, RotateExtrude, ExtrudeRotateR), fromℕtoℝ, (⋅), minℝ) +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 Graphics.Implicit.MathUtil (rmaximum, rminimum, rmax) +import Graphics.Implicit.Definitions + ( objectRounding, ObjectContext, ℕ, SymbolicObj3(Cube, Sphere, Cylinder, Rotate3, Transform3, Extrude, ExtrudeM, ExtrudeOnEdgeOf, RotateExtrude, Shared3), Obj3, ℝ2, ℝ, fromℕtoℝ, toScaleFn ) -import Data.Maybe (fromMaybe, isJust) +import Graphics.Implicit.MathUtil ( rmax, rmaximum ) import qualified Data.Either as Either (either) -import Data.VectorSpace ((^*), normalized) - -import Data.Cross(cross3) +-- Use getImplicit for handling extrusion of 2D shapes to 3D. +import Graphics.Implicit.ObjectUtil.GetImplicitShared (getImplicitShared) +import Linear (V2(V2), V3(V3)) +import qualified Linear --- Use getImplicit2 for handling extrusion of 2D shapes to 3D. -import Graphics.Implicit.ObjectUtil.GetImplicit2 (getImplicit2) +import {-# SOURCE #-} Graphics.Implicit.Primitives (getImplicit) default (ℝ) -- Get a function that describes the surface of the object. -getImplicit3 :: SymbolicObj3 -> Obj3 +getImplicit3 :: ObjectContext -> SymbolicObj3 -> Obj3 -- Primitives -getImplicit3 (Rect3R r (x1,y1,z1) (x2,y2,z2)) = - \(x,y,z) -> let (dx, dy, dz) = (x2-x1, y2-y1, z2-z1) - in - rmaximum r [abs (x-dx/2-x1) - dx/2, abs (y-dy/2-y1) - dy/2, abs (z-dz/2-z1) - dz/2] -getImplicit3 (Sphere r) = - \(x,y,z) -> sqrt (x*x + y*y + z*z) - r -getImplicit3 (Cylinder h r1 r2) = \(x,y,z) -> +getImplicit3 ctx (Cube (V3 dx dy dz)) = + \(V3 x y z) -> rmaximum (objectRounding ctx) [abs (x-dx/2) - dx/2, abs (y-dy/2) - dy/2, abs (z-dz/2) - dz/2] +getImplicit3 _ (Sphere r) = + \(V3 x y z) -> sqrt (x*x + y*y + z*z) - r +getImplicit3 _ (Cylinder h r1 r2) = \(V3 x y z) -> let d = sqrt (x*x + y*y) - ((r2-r1)/h*z+r1) θ = atan2 (r2-r1) h in max (d * cos θ) (abs (z-h/2) - (h/2)) --- (Rounded) CSG -getImplicit3 (Complement3 symbObj) = - let - obj = getImplicit3 symbObj - in - \p -> - obj p -getImplicit3 (UnionR3 r symbObjs) = - \p -> rminimum r $ fmap ($p) $ getImplicit3 <$> symbObjs - -getImplicit3 (IntersectR3 r symbObjs) = - \p -> rmaximum r $ fmap ($p) $ getImplicit3 <$> symbObjs - -getImplicit3 (DifferenceR3 r symbObjs) = - let - tailObjs = getImplicit3 <$> tail symbObjs - headObj = getImplicit3 $ head symbObjs - complement :: Obj3 -> ℝ3 -> ℝ - complement obj' p = - obj' p - in - \p -> do - let - maxTail = rmaximum r $ fmap ($p) $ complement <$> tailObjs - if maxTail > -minℝ && maxTail < minℝ - then rmax r (headObj p) minℝ - else rmax r (headObj p) maxTail - -- Simple transforms -getImplicit3 (Translate3 v symbObj) = - let - obj = getImplicit3 symbObj - in - \p -> obj (p - v) -getImplicit3 (Scale3 s@(sx,sy,sz) symbObj) = - let - obj = getImplicit3 symbObj - k = abs (sx*sy*sz) ** (1/3) - in - \p -> k * obj (p ⋯/ s) -getImplicit3 (Rotate3 (yz, zx, xy) symbObj) = - let - obj = getImplicit3 symbObj - rotateYZ :: ℝ -> (ℝ3 -> ℝ) -> (ℝ3 -> ℝ) - rotateYZ θ obj' (x,y,z) = obj' ( x, y*cos θ + z*sin θ, z*cos θ - y*sin θ) - rotateZX :: ℝ -> (ℝ3 -> ℝ) -> (ℝ3 -> ℝ) - rotateZX θ obj' (x,y,z) = obj' ( x*cos θ - z*sin θ, y, z*cos θ + x*sin θ) - rotateXY :: ℝ -> (ℝ3 -> ℝ) -> (ℝ3 -> ℝ) - rotateXY θ obj' (x,y,z) = obj' ( x*cos θ + y*sin θ, y*cos θ - x*sin θ, z) - in - rotateXY xy $ rotateZX zx $ rotateYZ yz obj -getImplicit3 (Rotate3V θ axis symbObj) = - let - axis' = normalized axis - obj = getImplicit3 symbObj - in - \v -> obj $ - v ^* cos θ - - (axis' `cross3` v) ^* sin θ - + (axis' ^* (axis' ⋅ (v ^* (1 - cos θ)))) --- Boundary mods -getImplicit3 (Shell3 w symbObj) = - let - obj = getImplicit3 symbObj - in - \p -> abs (obj p) - w/2 -getImplicit3 (Outset3 d symbObj) = - let - obj = getImplicit3 symbObj - in - \p -> obj p - d --- Misc -getImplicit3 (EmbedBoxedObj3 (obj,_)) = obj +getImplicit3 ctx (Rotate3 q symbObj) = + getImplicit3 ctx symbObj . Linear.rotate (Linear.conjugate q) +getImplicit3 ctx (Transform3 m symbObj) = + getImplicit3 ctx symbObj . Linear.normalizePoint . ((Linear.inv44 m) Linear.!*) . Linear.point -- 2D Based -getImplicit3 (ExtrudeR r symbObj h) = +getImplicit3 ctx (Extrude symbObj h) = let - obj = getImplicit2 symbObj + obj = getImplicit symbObj in - \(x,y,z) -> rmax r (obj (x,y)) (abs (z - h/2) - h/2) -getImplicit3 (ExtrudeRM r twist scale translate symbObj height) = + \(V3 x y z) -> rmax (objectRounding ctx) (obj (V2 x y)) (abs (z - h/2) - h/2) +getImplicit3 ctx (ExtrudeM twist scale translate symbObj height) = let - obj = getImplicit2 symbObj - height' (x,y) = case height of + r = objectRounding ctx + obj = getImplicit symbObj + height' (V2 x y) = case height of Left n -> n - Right f -> f (x,y) + Right f -> f (V2 x y) -- FIXME: twist functions should have access to height, if height is allowed to vary. twistVal :: Either ℝ (ℝ -> ℝ) -> ℝ -> ℝ -> ℝ twistVal twist' z h = @@ -134,68 +64,67 @@ else twval * (z / h) Right twfun -> twfun z translatePos :: Either ℝ2 (ℝ -> ℝ2) -> ℝ -> ℝ2 -> ℝ2 - translatePos trans z (x, y) = (x - xTrans, y - yTrans) + translatePos trans z (V2 x y) = V2 (x - xTrans) (y - yTrans) where - (xTrans, yTrans) = case trans of + (V2 xTrans yTrans) = case trans of Left tval -> tval Right tfun -> tfun z - scaleVec :: Either ℝ (ℝ -> ℝ) -> ℝ -> ℝ2 -> ℝ2 - scaleVec scale' s (x,y) = - case scale' of - Left sval -> if sval == 1 - then (x,y) - else (x/sval , y/sval) - Right sfun -> (x/sfun s, y/sfun s) + scaleVec :: ℝ -> ℝ2 -> ℝ2 + scaleVec z (V2 x y) = let (V2 sx sy) = toScaleFn scale z + in V2 (x / sx) (y / sy) rotateVec :: ℝ -> ℝ2 -> ℝ2 - rotateVec θ (x,y) - | θ == 0 = (x,y) - | otherwise = (x*cos θ + y*sin θ, y*cos θ - x*sin θ) + rotateVec θ (V2 x y) + | θ == 0 = V2 x y + | otherwise = V2 (x*cos θ + y*sin θ) (y*cos θ - x*sin θ) k :: ℝ k = pi/180 in - \(x,y,z) -> + \(V3 x y z) -> let - h = height' (x,y) + h = height' $ V2 x y res = rmax r (obj . rotateVec (-k*twistVal twist z h) - . scaleVec scale z + . scaleVec z . translatePos translate z - $ (x,y)) + $ V2 x y ) (abs (z - h/2) - h/2) in res -getImplicit3 (ExtrudeOnEdgeOf symbObj1 symbObj2) = +getImplicit3 _ (ExtrudeOnEdgeOf symbObj1 symbObj2) = let - obj1 = getImplicit2 symbObj1 - obj2 = getImplicit2 symbObj2 + obj1 = getImplicit symbObj1 + obj2 = getImplicit symbObj2 in - \(x,y,z) -> obj1 (obj2 (x,y), z) -getImplicit3 (RotateExtrude totalRotation round translate rotate symbObj) = + \(V3 x y z) -> obj1 $ V2 (obj2 (V2 x y)) z +getImplicit3 ctx (RotateExtrude totalRotation translate rotate symbObj) = let tau :: ℝ tau = 2 * pi - k :: ℝ - k = tau / 360 - totalRotation' = totalRotation*k - obj = getImplicit2 symbObj - capped = isJust round - round' = fromMaybe 0 round + obj = getImplicit symbObj + + is360m :: ℝ -> Bool + is360m n = tau * fromInteger (round $ n / tau) /= n + capped + = is360m totalRotation + || either ( /= pure 0) (\f -> f 0 /= f totalRotation) translate + || either is360m (\f -> is360m (f 0 - f totalRotation)) rotate + round' = objectRounding ctx translate' :: ℝ -> ℝ2 translate' = Either.either - (\(a,b) θ -> (a*θ/totalRotation', b*θ/totalRotation')) - (. (/k)) + (\(V2 a b) θ -> V2 (a*θ/totalRotation) (b*θ/totalRotation)) + id translate rotate' :: ℝ -> ℝ rotate' = Either.either - (\t θ -> t*θ/totalRotation' ) - (. (/k)) + (\t θ -> t*θ/totalRotation ) + id rotate twists = case rotate of Left 0 -> True _ -> False in - \(x,y,z) -> minimum $ do + \(V3 x y z) -> minimum $ do let r = sqrt $ x*x + y*y θ = atan2 y x @@ -203,28 +132,26 @@ ns = if capped then -- we will cap a different way, but want leeway to keep the function cont - [-1 .. ceiling $ (totalRotation' / tau) + 1] + [-1 .. ceiling $ (totalRotation / tau) + 1] else - [0 .. floor $ (totalRotation' - θ) / tau] + [0 .. floor $ (totalRotation - θ) / tau] n <- ns let θvirt = fromℕtoℝ n * tau + θ - (rshift, zshift) = translate' θvirt + (V2 rshift zshift) = translate' θvirt twist = rotate' θvirt rz_pos = if twists then let - (c,s) = (cos (twist*k), sin (twist*k)) + (c,s) = (cos twist, sin twist) (r',z') = (r-rshift, z-zshift) in - (c*r' - s*z', c*z' + s*r') - else (r - rshift, z - zshift) + V2 (c*r' - s*z') (c*z' + s*r') + else V2 (r - rshift) (z - zshift) pure $ if capped then rmax round' - (abs (θvirt - (totalRotation' / 2)) - (totalRotation' / 2)) + (abs (θvirt - (totalRotation / 2)) - (totalRotation / 2)) (obj rz_pos) else obj rz_pos +getImplicit3 ctx (Shared3 obj) = getImplicitShared ctx obj --- FIXME: implement this, or implement a fallthrough function. ---getImplicit3 (ExtrudeRotateR) = -getImplicit3 ExtrudeRotateR{} = error "ExtrudeRotateR unimplimented!" diff --git a/Graphics/Implicit/ObjectUtil/GetImplicitShared.hs b/Graphics/Implicit/ObjectUtil/GetImplicitShared.hs new file mode 100644 --- /dev/null +++ b/Graphics/Implicit/ObjectUtil/GetImplicitShared.hs @@ -0,0 +1,89 @@ +{- ORMOLU_DISABLE -} +-- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) +-- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +-- Released under the GNU AGPLV3+, see LICENSE +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE GADTs #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeApplications #-} + +module Graphics.Implicit.ObjectUtil.GetImplicitShared (getImplicitShared, normalize) where + +import {-# SOURCE #-} Graphics.Implicit.Primitives (Object(getImplicit')) + +import Prelude (flip, (-), (*), (>), (<), (&&), (/), product, abs, (**), fmap, (.), negate, ($), const) + +import Graphics.Implicit.Definitions + ( objectRounding, ObjectContext, SharedObj(Empty, Full, Complement, UnionR, IntersectR, DifferenceR, Translate, Scale, Mirror, Shell, Outset, EmbedBoxedObj, WithRounding), ComponentWiseMultable((⋯/)), ℝ, minℝ ) + +import Graphics.Implicit.MathUtil (infty, rmax, rmaximum, rminimum, reflect) + +-- Use getImplicit2 for handling extrusion of 2D shapes to 3D. +import Graphics.Implicit.ObjectUtil.GetBoxShared (VectorStuff(elements, uniformV)) + +import Linear (Metric(dot)) + +------------------------------------------------------------------------------ +-- | Normalize a dimensionality-polymorphic vector. +normalize + :: forall f + . (VectorStuff (f ℝ), Metric f) + => f ℝ + -> ℝ +normalize v = + let all1s = uniformV @(f ℝ) 1 + in abs (product (elements v)) ** (1 / (all1s `dot` all1s)) + +-- Get a function that describes the surface of the object. +getImplicitShared + :: forall obj f + . ( Object obj f ℝ + , VectorStuff (f ℝ) + , ComponentWiseMultable (f ℝ) + , Metric f + ) + => ObjectContext + -> SharedObj obj f ℝ + -> f ℝ + -> ℝ +getImplicitShared _ Empty = const infty +getImplicitShared _ Full = const $ -infty +getImplicitShared ctx (Complement symbObj) = + negate . getImplicit' ctx symbObj +getImplicitShared ctx (UnionR _ []) = + getImplicitShared @obj ctx Empty +getImplicitShared ctx (UnionR r symbObjs) = \p -> + rminimum r $ fmap (flip (getImplicit' ctx) p) symbObjs +getImplicitShared ctx (IntersectR _ []) = + getImplicitShared @obj ctx Full +getImplicitShared ctx (IntersectR r symbObjs) = \p -> + rmaximum r $ fmap (flip (getImplicit' ctx) p) symbObjs +getImplicitShared ctx (DifferenceR _ symbObj []) = + getImplicit' ctx symbObj +getImplicitShared ctx (DifferenceR r symbObj symbObjs) = + let headObj = getImplicit' ctx symbObj + in + \p -> do + let + maxTail = rmaximum r + $ fmap (flip (getImplicitShared ctx) p . Complement) symbObjs + if maxTail > -minℝ && maxTail < minℝ + then rmax r (headObj p) minℝ + else rmax r (headObj p) maxTail + +-- Simple transforms +getImplicitShared ctx (Translate v symbObj) = \p -> + getImplicit' ctx symbObj (p - v) +getImplicitShared ctx (Scale s symbObj) = \p -> + normalize s * getImplicit' ctx symbObj (p ⋯/ s) +getImplicitShared ctx (Mirror v symbObj) = + getImplicit' ctx symbObj . reflect v +-- Boundary mods +getImplicitShared ctx (Shell w symbObj) = \p -> + abs (getImplicit' ctx symbObj p) - w/2 +getImplicitShared ctx (Outset d symbObj) = \p -> + getImplicit' ctx symbObj p - d +-- Misc +getImplicitShared _ (EmbedBoxedObj (obj,_)) = obj +getImplicitShared ctx (WithRounding r obj) = getImplicit' (ctx { objectRounding = r }) obj diff --git a/Graphics/Implicit/Primitives.hs b/Graphics/Implicit/Primitives.hs --- a/Graphics/Implicit/Primitives.hs +++ b/Graphics/Implicit/Primitives.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,10 +6,14 @@ -- FIXME: Required. why? {-# LANGUAGE FunctionalDependencies #-} {-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE PatternSynonyms #-} +{-# LANGUAGE ViewPatterns #-} -- A module exporting all of the primitives, and some operations on them. module Graphics.Implicit.Primitives ( translate, + mirror, scale, outset, complement, union, intersect, difference, @@ -16,68 +21,80 @@ shell, getBox, getImplicit, - extrudeR, - extrudeRM, - extrudeRotateR, + getImplicit', + extrude, + extrudeM, extrudeOnEdgeOf, sphere, - rect3R, + cube, rect3, circle, cylinder, cylinder2, - rectR, - polygonR, + square, rect, + polygon, rotateExtrude, rotate3, + rotateQ, rotate3V, + transform3, pack3, rotate, + transform, pack2, - implicit + implicit, + emptySpace, + fullSpace, + withRounding, + _Shared, + pattern Shared, + Object ) where -import Prelude(Maybe(Just, Nothing), Either, fmap, ($)) +import Prelude(Applicative, Eq, Num, abs, (<), otherwise, id, Num, (+), (-), (*), (/), (.), negate, Bool(True, False), Maybe(Just, Nothing), Either, fmap, ($)) -import Graphics.Implicit.Definitions (ℝ, ℝ2, ℝ3, Box2, +import Graphics.Implicit.Definitions (ObjectContext, ℝ, ℝ2, ℝ3, Box2, + SharedObj(Empty, + Full, + Translate, + Empty, + Scale, + Complement, + Outset, + Mirror, + Shell, + UnionR, + DifferenceR, + IntersectR, + EmbedBoxedObj, + WithRounding + ), SymbolicObj2( - RectR, + Square, Circle, - PolygonR, - Complement2, - UnionR2, - DifferenceR2, - IntersectR2, - Translate2, - Scale2, + Polygon, Rotate2, - Outset2, - Shell2, - EmbedBoxedObj2 + Transform2, + Shared2 ), SymbolicObj3( - Rect3R, + Cube, Sphere, Cylinder, - Complement3, - UnionR3, - DifferenceR3, - IntersectR3, - Translate3, - Scale3, Rotate3, - Rotate3V, - Outset3, - Shell3, - EmbedBoxedObj3, - ExtrudeR, - ExtrudeRotateR, - ExtrudeRM, + Transform3, + Extrude, + ExtrudeM, RotateExtrude, - ExtrudeOnEdgeOf - ) + ExtrudeOnEdgeOf, + Shared3 + ), + ExtrudeMScale, + defaultObjectContext ) import Graphics.Implicit.MathUtil (pack) import Graphics.Implicit.ObjectUtil (getBox2, getBox3, getImplicit2, getImplicit3) +import Linear (M33, M44, V2(V2),V3(V3), axisAngle, Quaternion) +import Control.Lens (prism', Prism', preview, (#)) -- $ 3D Primitives @@ -87,21 +104,34 @@ sphere = Sphere -rect3R :: - ℝ -- ^ Rounding of corners - -> ℝ3 -- ^ Bottom.. corner +-- | A rectangular prism +rect3 + :: ℝ3 -- ^ Bottom.. corner -> ℝ3 -- ^ Top right... corner - -> SymbolicObj3 -- ^ Resuting cube - (0,0,0) is bottom left... + -> SymbolicObj3 -- ^ Resuting cube -rect3R = Rect3R +rect3 xyz1 xyz2 = translate xyz1 $ Cube $ xyz2 - xyz1 +-- | A cube +cube + :: Bool -- ^ Centered? + -> ℝ3 -- ^ Size + -> SymbolicObj3 -- ^ Resuting cube. (0,0,0) is bottom left if @center = False@, + -- otherwise it's the center. +cube False size = Cube size +cube True size = translate (fmap (negate . (/ 2)) size) $ Cube size + +-- | A conical frustum --- ie. a cylinder with different radii at either end. cylinder2 :: ℝ -- ^ Radius of the cylinder -> ℝ -- ^ Second radius of the cylinder -> ℝ -- ^ Height of the cylinder -> SymbolicObj3 -- ^ Resulting cylinder -cylinder2 r1 r2 h = Cylinder h r1 r2 +cylinder2 _ _ 0 = emptySpace -- necessary to prevent a NaN +cylinder2 r1 r2 h + | h < 0 = mirror (V3 0 0 1) $ cylinder2 r1 r2 (abs h) + | otherwise = Cylinder h r1 r2 cylinder :: ℝ -- ^ Radius of the cylinder @@ -118,167 +148,308 @@ circle = Circle -rectR :: - ℝ - -> ℝ2 -- ^ Bottom left corner +-- | A rectangle +rect + :: ℝ2 -- ^ Bottom left corner -> ℝ2 -- ^ Top right corner - -> SymbolicObj2 -- ^ Resulting square (bottom right = (0,0) ) + -> SymbolicObj2 -- ^ Resulting square -rectR = RectR +rect xy1 xy2 = translate xy1 $ Square $ xy2 - xy1 -polygonR :: - ℝ -- ^ Rouding of the polygon - -> [ℝ2] -- ^ Verticies of the polygon +-- | A square +square + :: Bool -- ^ Centered? + -> ℝ2 -- ^ Size + -> SymbolicObj2 -- ^ Resulting square (bottom right = (0,0) ) +square False size = Square size +square True size = translate (fmap (negate . (/ 2)) size) $ Square size + +-- | A 2D polygon +polygon + :: [ℝ2] -- ^ Verticies of the polygon -> SymbolicObj2 -- ^ Resulting polygon -polygonR = PolygonR +polygon = Polygon -- $ Shared Operations -class Object obj vec | obj -> vec where +-- | Operations available on both 2D and 3D objects. The obvious omission of +-- rotation operations from this class are a technical limitation, and are +-- instead provided by 'rotate' and 'rotate3'. +-- +-- Library users shouldn't need to provide new instances of this class. +class ( Applicative f + , Eq a + , Eq (f a) + , Num a + , Num (f a)) + => Object obj f a | obj -> f a + where + -- | A 'Prism'' for including 'SharedObj's in @obj@. Prefer using 'Shared' + -- instead of this. + _Shared :: Prism' obj (SharedObj obj f a) - -- | Complement an Object - complement :: - obj -- ^ Object to complement - -> obj -- ^ Result + -- | Get the bounding box an object + getBox :: + obj -- ^ Object to get box of + -> (f a, f a) -- ^ Bounding box - -- | Rounded union - unionR :: - ℝ -- ^ The radius of rounding - -> [obj] -- ^ objects to union - -> obj -- ^ Resulting object + -- | Get the implicit function for an object + getImplicit' + :: ObjectContext + -> obj -- ^ Object to get implicit function of + -> (f a -> a) -- ^ Implicit function - -- | Rounded difference - differenceR :: - ℝ -- ^ The radius of rounding - -> [obj] -- ^ Objects to difference - -> obj -- ^ Resulting object +-- | Get the implicit function for an object +getImplicit + :: Object obj f a + => obj -- ^ Object to get implicit function of + -> (f a -> a) -- ^ Implicit function +getImplicit = getImplicit' defaultObjectContext - -- | Rounded minimum - intersectR :: - ℝ -- ^ The radius of rounding - -> [obj] -- ^ Objects to intersect - -> obj -- ^ Resulting object +-- | A pattern that abstracts over 'Shared2' and 'Shared3'. +pattern Shared :: (Object obj f a) => SharedObj obj f a -> obj +pattern Shared v <- (preview _Shared -> Just v) + where + Shared v = _Shared # v - -- | Translate an object by a vector of appropriate dimension. - translate :: - vec -- ^ Vector to translate by (Also: a is a vector, blah, blah) - -> obj -- ^ Object to translate - -> obj -- ^ Resulting object +-- | Translate an object by a vector of appropriate dimension. +translate + :: Object obj f a + => f a -- ^ Vector to translate by + -> obj -- ^ Object to translate + -> obj -- ^ Resulting object +translate 0 s = s +translate _ s@(Shared Empty) = s +translate _ s@(Shared Full) = s +translate v1 (Shared (Translate v2 s)) = translate (v1 + v2) s +translate v s = Shared $ Translate v s - -- | Scale an object - scale :: - vec -- ^ Amount to scale by - -> obj -- ^ Object to scale - -> obj -- ^ Resulting scaled object +-- | Scale an object +scale + :: Object obj f a + => f a -- ^ Amount to scale by + -> obj -- ^ Object to scale + -> obj -- ^ Resulting scaled object +scale 1 s = s +scale _ s@(Shared Empty) = s +scale v1 (Shared (Scale v2 s)) = scale (v1 * v2) s +scale v s = Shared $ Scale v s - -- | Outset of an object. - outset :: - ℝ -- ^ distance to outset - -> obj -- ^ object to outset - -> obj -- ^ resulting object +-- | Complement an Object +complement + :: Object obj f a + => obj -- ^ Object to complement + -> obj -- ^ Result +complement (Shared Empty) = Shared Full +complement (Shared Full) = Shared Empty +complement (Shared (Complement s)) = s +complement s = Shared $ Complement s - -- | Make a shell of an object. - shell :: - ℝ -- ^ width of shell - -> obj -- ^ object to take shell of - -> obj -- ^ resulting shell +-- | The object that fills no space +emptySpace :: Object obj f a => obj +emptySpace = Shared Empty - -- | Get the bounding box an object - getBox :: - obj -- ^ Object to get box of - -> (vec, vec) -- ^ Bounding box +-- | The object that fills the entire space +fullSpace :: Object obj f a => obj +fullSpace = Shared Full - -- | Get the implicit function for an object - getImplicit :: - obj -- ^ Object to get implicit function of - -> (vec -> ℝ) -- ^ Implicit function +-- | Set the current object-rounding value for the given object. The rounding +-- value is measured in units of distance, and describes the radius of rounded +-- corners. +-- +-- This can be used to change the shape of more primitive forms, for example, +-- we can make a cube with rounded corners via @withRounding 5 ('cube' True +-- 20)@. +-- +-- @'withRounding' r obj@ applies the rounding @r@ /all/ primitives objects in +-- @obj@, so long as they have the same dimensionality. That is to say, +-- the current object-rounding value set in 3D will not apply to extruded 2D +-- shapes. +withRounding :: Object obj f a => ℝ -> obj -> obj +withRounding 0 = id +withRounding r = Shared . WithRounding r - implicit :: - (vec -> ℝ) -- ^ Implicit function - -> (vec, vec) -- ^ Bounding box - -> obj -- ^ Resulting object +-- | Mirror an object across the hyperplane whose normal is a given +-- vector. +mirror + :: Object obj f a + => f a -- ^ Vector defining the hyperplane + -> obj -- ^ Object to mirror + -> obj -- ^ Resulting object +mirror _ s@(Shared Empty) = s +mirror _ s@(Shared Full) = s +mirror v s = Shared $ Mirror v s +-- | Outset of an object. +outset + :: Object obj f a + => ℝ -- ^ distance to outset + -> obj -- ^ object to outset + -> obj -- ^ resulting object +outset 0 s = s +outset _ s@(Shared Empty) = s +outset _ s@(Shared Full) = s +outset v1 (Shared (Outset v2 s)) = outset (v1 + v2) s +outset v s = Shared $ Outset v s -instance Object SymbolicObj2 ℝ2 where - translate = Translate2 - scale = Scale2 - complement = Complement2 - unionR = UnionR2 - intersectR = IntersectR2 - differenceR = DifferenceR2 - outset = Outset2 - shell = Shell2 - getBox = getBox2 - getImplicit = getImplicit2 - implicit a b= EmbedBoxedObj2 (a,b) +-- | Make a shell of an object. +shell + :: Object obj f a + => ℝ -- ^ width of shell + -> obj -- ^ object to take shell of + -> obj -- ^ resulting shell +shell _ s@(Shared Empty) = s +shell _ s@(Shared Full) = s +shell v s = Shared $ Shell v s -instance Object SymbolicObj3 ℝ3 where - translate = Translate3 - scale = Scale3 - complement = Complement3 - unionR = UnionR3 - intersectR = IntersectR3 - differenceR = DifferenceR3 - outset = Outset3 - shell = Shell3 - getBox = getBox3 - getImplicit = getImplicit3 - implicit a b= EmbedBoxedObj3 (a,b) +-- | Rounded union +unionR + :: Object obj f a + => ℝ -- ^ The radius (in mm) of rounding + -> [obj] -- ^ objects to union + -> obj -- ^ Resulting object +unionR _ [] = Shared Empty +unionR _ [s] = s +unionR r ss = Shared $ UnionR r ss -union :: Object obj vec => [obj] -> obj +-- | Rounded difference +differenceR + :: Object obj f a + => ℝ -- ^ The radius (in mm) of rounding + -> obj -- ^ Base object + -> [obj] -- ^ Objects to subtract from the base + -> obj -- ^ Resulting object +differenceR _ s [] = s +differenceR _ s@(Shared Empty) _ = s +differenceR r s ss = Shared $ DifferenceR r s ss +{-# INLINABLE differenceR #-} + +-- | Rounded minimum +intersectR + :: Object obj f a + => ℝ -- ^ The radius (in mm) of rounding + -> [obj] -- ^ Objects to intersect + -> obj -- ^ Resulting object +intersectR _ [] = Shared Full +intersectR _ [s] = s +intersectR r ss = Shared $ IntersectR r ss + +implicit + :: Object obj f a + => (f a -> a) -- ^ Implicit function + -> (f a, f a) -- ^ Bounding box + -> obj -- ^ Resulting object +implicit a b = Shared $ EmbedBoxedObj (a, b) + +instance Object SymbolicObj2 V2 ℝ where + _Shared = prism' Shared2 $ \case + Shared2 x -> Just x + _ -> Nothing + getBox = getBox2 + getImplicit' = getImplicit2 + +instance Object SymbolicObj3 V3 ℝ where + _Shared = prism' Shared3 $ \case + Shared3 x -> Just x + _ -> Nothing + getBox = getBox3 + getImplicit' = getImplicit3 + +union :: Object obj f a => [obj] -> obj union = unionR 0 -difference :: Object obj vec => [obj] -> obj +difference :: Object obj f a => obj -> [obj] -> obj difference = differenceR 0 -intersect :: Object obj vec => [obj] -> obj +intersect :: Object obj f a => [obj] -> obj intersect = intersectR 0 -- 3D operations -extrudeR :: ℝ -> SymbolicObj2 -> ℝ -> SymbolicObj3 -extrudeR = ExtrudeR - -extrudeRotateR :: ℝ -> ℝ -> SymbolicObj2 -> ℝ -> SymbolicObj3 -extrudeRotateR = ExtrudeRotateR +-- | Extrude a 2d object upwards. The current object-rounding value set by +-- 'withRounding' is used to round the caps, but is not used by the 2D object. +extrude + :: SymbolicObj2 + -> ℝ -- ^ Extrusion height + -> SymbolicObj3 +extrude = Extrude -extrudeRM :: ℝ - -> Either ℝ (ℝ -> ℝ) - -> Either ℝ (ℝ -> ℝ) - -> Either ℝ2 (ℝ -> ℝ2) - -> SymbolicObj2 - -> Either ℝ (ℝ2 -> ℝ) +-- | The current object-rounding value set by 'withRounding' is used to round +-- the caps, but is not used by the 2D object. +extrudeM + :: Either ℝ (ℝ -> ℝ) -- ^ twist + -> ExtrudeMScale -- ^ scale + -> Either ℝ2 (ℝ -> ℝ2) -- ^ translate + -> SymbolicObj2 -- ^ object to extrude + -> Either ℝ (ℝ2 -> ℝ) -- ^ height to extrude to -> SymbolicObj3 -extrudeRM = ExtrudeRM +extrudeM = ExtrudeM -rotateExtrude :: ℝ - -> Maybe ℝ - -> Either ℝ2 (ℝ -> ℝ2) - -> Either ℝ (ℝ -> ℝ) - -> SymbolicObj2 +rotateExtrude + :: ℝ -- ^ Angle to sweep to (in rad) + -> Either ℝ2 (ℝ -> ℝ2) -- ^ translate + -> Either ℝ (ℝ -> ℝ ) -- ^ rotate + -> SymbolicObj2 -- ^ object to extrude -> SymbolicObj3 -rotateExtrude = RotateExtrude +rotateExtrude 0 _ _ _ = emptySpace +rotateExtrude _ _ _ (Shared Empty) = emptySpace +rotateExtrude theta t r obj = RotateExtrude theta t r obj extrudeOnEdgeOf :: SymbolicObj2 -> SymbolicObj2 -> SymbolicObj3 extrudeOnEdgeOf = ExtrudeOnEdgeOf +-- | Rotate a 3D object via an Euler angle, measured in radians, along the +-- world axis. rotate3 :: ℝ3 -> SymbolicObj3 -> SymbolicObj3 -rotate3 = Rotate3 +rotate3 0 = id +rotate3 (V3 pitch roll yaw) + = Rotate3 + $ axisAngle (V3 0 0 1) yaw + * axisAngle (V3 0 1 0) roll + * axisAngle (V3 1 0 0) pitch -rotate3V :: ℝ -> ℝ3 -> SymbolicObj3 -> SymbolicObj3 -rotate3V = Rotate3V +rotateQ + :: Quaternion ℝ + -> SymbolicObj3 + -> SymbolicObj3 +rotateQ = Rotate3 +-- | Rotate a 3D object along an arbitrary axis. +rotate3V + :: ℝ -- ^ Angle of rotation + -> ℝ3 -- ^ Axis of rotation + -> SymbolicObj3 + -> SymbolicObj3 +rotate3V 0 _ = id +rotate3V w xyz = Rotate3 $ axisAngle xyz w + +-- | Transform a 3D object using a 4x4 matrix representing affine transformation +-- (OpenSCAD multmatrix) +transform3 + :: M44 ℝ + -> SymbolicObj3 + -> SymbolicObj3 +transform3 = Transform3 + +-- | Attempt to pack multiple 3D objects into a fixed area. The @z@ coordinate +-- of each object is dropped, and the resulting packed objects will all be on +-- the same plane. +-- -- FIXME: shouldn't this pack into a 3d area, or have a 3d equivalent? -pack3 :: ℝ2 -> ℝ -> [SymbolicObj3] -> Maybe SymbolicObj3 -pack3 (dx, dy) sep objs = +pack3 + :: ℝ2 -- ^ Area to pack + -> ℝ -- ^ Separation between objects + -> [SymbolicObj3] -- ^ Objects to pack + -> Maybe SymbolicObj3 -- ^ 'Just' if the objects could be packed into the given area +pack3 (V2 dx dy) sep objs = let boxDropZ :: (ℝ3,ℝ3) -> (ℝ2,ℝ2) - boxDropZ ((a,b,_),(d,e,_)) = ((a,b),(d,e)) + boxDropZ (V3 a b _,V3 d e _) = (V2 a b, V2 d e) withBoxes :: [(Box2, SymbolicObj3)] withBoxes = fmap (\obj -> ( boxDropZ $ getBox3 obj, obj)) objs - in case pack ((0,0),(dx,dy)) sep withBoxes of - (a, []) -> Just $ union $ fmap (\((x,y),obj) -> translate (x,y,0) obj) a + in case pack (V2 0 0,V2 dx dy) sep withBoxes of + (a, []) -> Just $ union $ fmap (\(V2 x y,obj) -> translate (V3 x y 0) obj) a _ -> Nothing -- 2D operations @@ -286,12 +457,25 @@ rotate :: ℝ -> SymbolicObj2 -> SymbolicObj2 rotate = Rotate2 -pack2 :: ℝ2 -> ℝ -> [SymbolicObj2] -> Maybe SymbolicObj2 -pack2 (dx, dy) sep objs = +-- | Transform a 2D object using a 3x3 matrix representing affine transformation +-- (OpenSCAD multmatrix) +transform + :: M33 ℝ + -> SymbolicObj2 + -> SymbolicObj2 +transform = Transform2 + +-- | Attempt to pack multiple 2D objects into a fixed area. +pack2 + :: ℝ2 -- ^ Area to pack + -> ℝ -- ^ Separation between objects + -> [SymbolicObj2] -- ^ Objects to pack + -> Maybe SymbolicObj2 -- ^ 'Just' if the objects could be packed into the given area +pack2 (V2 dx dy) sep objs = let withBoxes :: [(Box2, SymbolicObj2)] withBoxes = fmap (\obj -> ( getBox2 obj, obj)) objs - in case pack ((0,0),(dx,dy)) sep withBoxes of - (a, []) -> Just $ union $ fmap (\((x,y),obj) -> translate (x,y) obj) a + in case pack (V2 0 0,V2 dx dy) sep withBoxes of + (a, []) -> Just $ union $ fmap (\(V2 x y,obj) -> translate (V2 x y) obj) a _ -> Nothing diff --git a/Graphics/Implicit/Primitives.hs-boot b/Graphics/Implicit/Primitives.hs-boot new file mode 100644 --- /dev/null +++ b/Graphics/Implicit/Primitives.hs-boot @@ -0,0 +1,30 @@ +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE TypeSynonymInstances #-} +{-# LANGUAGE FunctionalDependencies #-} +{-# LANGUAGE MultiParamTypeClasses #-} + +module Graphics.Implicit.Primitives (Object(getBox, getImplicit'), getImplicit) where + +import Graphics.Implicit.Definitions (ObjectContext, SymbolicObj2, SymbolicObj3, SharedObj, ℝ) +import Control.Lens (Prism') +import Prelude (Applicative, Eq, Num) +import Linear (V2, V3) + +-- See the non-source version of "Graphics.Implicit.Primitives" for +-- documentation of this class. +class ( Applicative f + , Eq a + , Eq (f a) + , Num a + , Num (f a)) + => Object obj f a | obj -> f a + where + _Shared :: Prism' obj (SharedObj obj f a) + getBox :: obj -> (f a, f a) + getImplicit' :: ObjectContext -> obj -> (f a -> a) + +getImplicit :: Object obj f a => obj -> (f a -> a) + +instance Object SymbolicObj2 V2 ℝ +instance Object SymbolicObj3 V3 ℝ + diff --git a/Makefile b/Makefile new file mode 100644 --- /dev/null +++ b/Makefile @@ -0,0 +1,200 @@ +# ImplicitCAD Makefile. Build and test Implicitcad. + +## This is the makefile if you are running cabal-install 1.24 or later. + +## Locations of binaries used when running tests, or generating the images to go along with our README.md. +# The location of stl2ps, from stltools, available from https://github.com/rsmith-nl/stltools/tree/develop +stl2ps=/disk4/faikvm.com/stltools/stltools/stl2ps.py +# The location of convert, from imagemagick +convert=convert +# The location of GHC, used to compile .hs examples. +GHC=ghc +GHCVERSION=$(shell ${GHC} --version | sed "s/.*version //") +CABAL=cabal +CABALVERSION=$(shell ${CABAL} --version | sed -n "s/.*install version \([0-9.]*\).*/\1/p") +IMPLICITVERSION=$(shell cat implicit.cabal | sed -n "s/Version[: ]*\([0-9]*.*\)/\1/p") +ARCHITECTURE=$(shell uname -m | sed "s/i[3-6]86/i386/" ) +# FIXME: detect this on other OSes. +OS=linux +# new-style location root. must NOT have trailing slash +BUILDROOT=dist-newstyle/build/${ARCHITECTURE}-${OS}/ghc-${GHCVERSION}/implicit-${IMPLICITVERSION} +EXEBUILDROOT=${BUILDROOT}/x/ +TESTBUILDROOT=${BUILDROOT}/t/ +BENCHBUILDROOT=${BUILDROOT}/b/ + +exebin = ${EXEBUILDROOT}/$(1)/build/$(1)/$(1) +exedir = ${EXEBUILDROOT}/$(1) + +# The location of the created extopenscad binary, for running shell based test cases. +EXTOPENSCAD=extopenscad +EXTOPENSCADBIN=$(call exebin,${EXTOPENSCAD}) +EXTOPENSCADDIR=$(call exedir,${EXTOPENSCAD}) +# The location of the implicitsnap binary, which listens for requests via http. The backend of the website. +IMPLICITSNAP=implicitsnap +IMPLICITSNAPBIN=$(call exebin,${IMPLICITSNAP}) +IMPLICITSNAPDIR=$(call exedir,${IMPLICITSNAP}) +# The location of the benchmark binary, for benchmarking some implicitcad internals. +BENCHMARK=Benchmark +BENCHMARKBIN=${BENCHBUILDROOT}/Benchmark/build/Benchmark/Benchmark +BENCHMARKDIR=${BENCHBUILDROOT}/Benchmark +# The location of the documentation generator. for documenting (some of) the extopenscad language. +DOCGEN=docgen +DOCGENBIN=$(call exebin,${DOCGEN}) +DOCGENDIR=$(call exedir,${DOCGEN}) +# The location of the parser benchmark binary, specifically for benchmarking implicitcad's parser. +PARSERBENCH=${BENCHBUILDROOT}/parser-bench/build/parser-bench/parser-bench +PARSERBENCHDIR=${BENCHBUILDROOT}/parser-bench +# The location of the created test binary, for running haskell test cases. +TESTSUITE=${TESTBUILDROOT}/test-implicit/build/test-implicit/test-implicit +TESTSUITEDIR=${TESTBUILDROOT}/test-implicit +# The location of it's source. +TESTFILES=$(shell find tests/ -name '*.hs') + +## Options used when calling ImplicitCAD. for testing, and for image generation. +# Enable multiple CPU usage. +# Use the parallel garbage collector. +# spit out some performance statistics. +RTSOPTS=+RTS -N -qg -t +# The resolution to generate objects at. FIXME: what does this mean in human terms? +RESOPTS=-r 50 + +SCADOPTS?=-q + +# Uncomment for profiling support. Note that you will need to recompile all of the libraries, as well. +#PROFILING= --enable-profiling + +## FIXME: escape this right +# Uncomment for valgrind on the examples. +#VALGRIND=valgrind --tool=cachegrind --cachegrind-out-file=$$each.cachegrind.`date +%s` + +LIBDIR=Graphics +LIBFILES=$(shell find ${LIBDIR} -name '*.hs') +LIBBUILDS=$(shell find ${LIBDIR} -name '*.hi' -o -name '*.o') +LIBTARGET=${BUILDROOT}/build/Graphics/Implicit.o + +# don't try to compile implicitsnap unless the flag for compiling it has been set. +MAYBEIMPLICITSNAPBIN=$(shell bash -c "[ -n \"$$([ -f cabal.project.local ] && cat cabal.project.local | sed -n '/flags: .*+implicitsnap.*/p')\" ] && echo ${IMPLICITSNAPBIN}" ) + +EXECTARGETS=$(EXTOPENSCADBIN) $(MAYBEIMPLICITSNAPBIN) $(BENCHMARKBIN) $(TESTSUITE) $(PARSERBENCH) $(DOCGENBIN) +EXECBUILDDIRS=$(EXTOPENSCADDIR) $(IMPLICITSNAPDIR) $(BENCHMARKDIR) $(DOCGENDIR) +TARGETS=$(EXECTARGETS) $(LIBTARGET) + +ROOT_DIR:=$(shell dirname $(realpath $(firstword $(MAKEFILE_LIST)))) + +# Options to GHC during compilation of our examples. +EXAMPLEOPTS=-package linear -package show-combinators -package lens + +# Mark the below fake targets as unreal, so make will not get choked up if a file with one of these names is created. +.PHONY: build install clean distclean nukeclean docs dist examples tests benchmarks benchmarkdir + +# Empty out the default suffix list, to make debugging output cleaner. +.SUFFIXES: + +# Allow for us to (ab)use $$* in dependencies of rules. +.SECONDEXPANSION: + +# Disable make's default builtin rules, to make debugging output cleaner. +MAKEFLAGS += --no-builtin-rules + +# Build implicitcad binaries. +build: ensureBootstrap $(TARGETS) + +# Ensure the haskell environment is sane +ensureBootstrap: + @if [ "${CABALVERSION}" = "2.4.0.0" ] && [ ! -d ~/.cabal/store/ghc-${GHCVERSION}/package.db ] ; then { echo "please create ~/.cabal/store/ghc-${GHCVERSION}/package.db , to workaround a known cabal bug." ; error 1 ; } fi + +# Install implicitcad. +install: build + cabal install + +# Cleanup from using the rules in this file. +clean: + rm -f Examples/*.stl + rm -f Examples/*.svg + rm -f Examples/*.ps + rm -f Examples/*.png + rm -f Examples/example[0-9][0-9] + rm -f Examples/*.hi + rm -f Examples/*.o + rm -f Examples/example*.cachegrind.* + rm -f tests/*.stl + rm -rf docs/parser.md + rm -f ${TARGETS} + rm -f ${LIBBUILDS} + rm -f benchmarks + rm -rf ${EXECBUILDDIRS} ${PARSERBENCHDIR} ${TESTSUITEDIR} + rm -f ${BUILDROOT}/build/libHS* + rm -f ${BUILDROOT}/cache/registration + +# Clean up before making a release. +distclean: clean Setup + ./Setup clean + rm -f Setup Setup.hi Setup.o + rm -rf dist + rm -rf dist-newstyle + rm -rf .stack-work + rm -f cabal.project.local + rm -f .ghc.environment.${ARCHITECTURE}-${OS}-${GHCVERSION} + rm -f `find ./ -name "*~"` + rm -f `find ./ -name "\#*\#"` + +# Destroy the current user's cabal/ghc environment. +nukeclean: distclean + rm -rf ~/.cabal/ ~/.ghc/ + +# Generate documentation. +docs: $(DOCGEN) Setup + ./Setup haddock + $(DOCGEN) > docs/escad.md + +# Upload to hackage? +dist: $(TARGETS) Setup + ./Setup sdist + +# Generate examples. +examples: $(EXTOPENSCADBIN) + cd Examples && for each in `find ./ -name '*scad' -type f | sort`; do { echo $$each ; ../$(EXTOPENSCADBIN) $(SCADOPTS) $$each $(RTSOPTS); } done + cd Examples && for each in `find ./ -name '*.hs' -type f | sort`; do { filename=$(basename "$$each"); filename="$${filename%.*}"; cd ..; $(GHC) $(EXAMPLEOPTS) Examples/$$filename.hs -o Examples/$$filename; cd Examples; echo $$filename; $$filename +RTS -t ; } done + +# Generate images from the examples, so we can upload the images to our website. +images: examples + cd Examples && for each in `find ./ -name '*.stl' -type f | sort`; do { filename=$(basename "$$each"); filename="$${filename%.*}"; if [ -e $$filename.transform ] ; then echo ${stl2ps} $$each $$filename.ps `cat $$filename.transform`; else ${stl2ps} $$each $$filename.ps; fi; ${convert} $$filename.ps $$filename.png; } done + +# Hspec parser tests. +tests: $(TESTSUITE) $(TESTFILES) +# cd tests && for each in `find ./ -name '*scad' -type f | sort`; do { ../$(EXTOPENSCADBIN) $$each ${RESOPTS} ${RTSOPTS}; } done + $(TESTSUITE) + +benchmarkdir: + [ ! -e benchmarks ] && bash -c 'rm -f benchmarks; ln -s `mktemp --tmpdir -d icad-XXX` benchmarks' || true + +benchmarks: $(BENCHMARKBIN) benchmarkdir + cd benchmarks && ${ROOT_DIR}/${BENCHMARKBIN} + +# The ImplicitCAD library. +$(LIBTARGET): $(LIBFILES) + cabal new-build implicit + +# The parser test suite, since it's source is stored in a different location than the other binaries we build: +${TESTBUILDROOT}/test-implicit/build/test-implicit/test-implicit: $(TESTFILES) ${BUILDROOT}/setup-config $(LIBTARGET) $(LIBFILES) + cabal new-build test-implicit + +# Build a binary target with cabal. +${EXEBUILDROOT}/%: programs/$$(word 1,$$(subst /, ,%)).hs ${BUILDROOT}/setup-config $(LIBTARGET) $(LIBFILES) + cabal new-build $(word 1,$(subst /, ,$*)) + touch $@ + +# Build a benchmark target with cabal. +${BENCHBUILDROOT}/%: programs/$$(word 1,$$(subst /, ,%)).hs ${BUILDROOT}/setup-config $(LIBTARGET) $(LIBFILES) + cabal new-build $(word 1,$(subst /, ,$*)) + +# Prepare to build. +${BUILDROOT}/setup-config: implicit.cabal + cabal new-update + cabal new-install --only-dependencies --upgrade-dependencies --overwrite-policy=always $(PROFILING) + cabal new-configure --enable-tests --enable-benchmarks $(PROFILING) + +# The setup command, used to perform administrative tasks (haddock, upload to hackage, clean, etc...). +Setup: Setup.*hs ${BUILDROOT}/setup-config $(LIBTARGET) + $(GHC) -O2 -Wall --make Setup -package Cabal + touch $@ diff --git a/Makefile-OldCabal b/Makefile-OldCabal new file mode 100644 --- /dev/null +++ b/Makefile-OldCabal @@ -0,0 +1,141 @@ +# ImplicitCAD Makefile. Build and test Implicitcad. + +# This is the Makefile for when you are running a version of cabal-install less than version 1.24. + +## Locations of binaries used when running tests, or generating the images to go along with our README.md. +# The location of stl2ps, from stltools, available from https://github.com/rsmith-nl/stltools/tree/develop +stl2ps=/disk4/faikvm.com/stltools/stltools/stl2ps.py +# The location of convert, from imagemagick +convert=convert +# The location of GHC, used to compile .hs examples. +GHC=ghc +# The location of the created extopenscad binary, for running shell based test cases. +EXTOPENSCAD=dist/build/extopenscad/extopenscad +# The location of the implicitsnap binary, which listens for requests via http. The backend of the website. +IMPLICITSNAP=dist/build/implicitsnap/implicitsnap +# The location of the benchmark binary, for benchmarking some implicitcad internals. +BENCHMARK=dist/build/Benchmark/Benchmark +# The location of the parser benchmark binary, specifically for benchmarking implicitcad's parser. +PARSERBENCH=dist/build/parser-bench/parser-bench +# The location of the created test binary, for running haskell test cases. +TESTSUITE=dist/build/test-implicit/test-implicit +# The location of it's source. +TESTFILES=$(shell find tests/ -name '*.hs') +# The location of the documentation generator. for documenting (some of) the extopenscad language. +DOCGEN=dist/build/docgen/docgen + +## Options used when calling ImplicitCAD. for testing, and for image generation. +# Enable multiple CPU usage. +# Use the parallel garbage collector. +# spit out some performance statistics. +RTSOPTS=+RTS -N -qg -t +# The resolution to generate objects at. FIXME: what does this mean in human terms? +RESOPTS=-r 50 + +SCADOPTS?=-q + +# Uncomment for profiling support. Note that you will need to recompile all of the libraries, as well. +#PROFILING= --enable-profiling + +## FIXME: escape this right +# Uncomment for valgrind on the examples. +#VALGRIND=valgrind --tool=cachegrind --cachegrind-out-file=$$each.cachegrind.`date +%s` + +LIBFILES=$(shell find Graphics -name '*.hs') +LIBTARGET=dist/build/Graphics/Implicit.o + +EXECTARGETS=$(EXTOPENSCAD) $(IMPLICITSNAP) $(BENCHMARK) $(TESTSUITE) $(PARSERBENCH) $(DOCGEN) +TARGETS=$(EXECTARGETS) $(LIBTARGET) + +# Mark the below fake targets as unreal, so make will not get choked up if a file with one of these names is created. +.PHONY: build install clean distclean nukeclean docs dist examples tests + +# Empty out the default suffix list, to make debugging output cleaner. +.SUFFIXES: + +# Allow for us to (ab)use $$* in dependencies of rules. +.SECONDEXPANSION: + +# Disable make's default builtin rules, to make debugging output cleaner. +MAKEFLAGS += --no-builtin-rules + +# Build implicitcad binaries. +build: $(TARGETS) + +# Install implicitcad. +install: build + cabal install + +# Cleanup from using the rules in this file. +clean: Setup + rm -f Examples/*.stl + rm -f Examples/*.svg + rm -f Examples/*.ps + rm -f Examples/*.png + rm -f Examples/example[0-9][0-9] + rm -f Examples/*.hi + rm -f Examples/*.o + rm -f tests/*.stl + rm -rf docs/parser.md + rm -f $(TARGETS) + rm -rf dist/build/Graphics + rm -f dist/build/libHS* + rm -f Examples/example*.cachegrind.* + +# Clean up before making a release. +distclean: clean Setup + ./Setup clean + rm -f Setup Setup.hi Setup.o + rm -rf dist/ + rm -f `find ./ -name *~` + rm -f `find ./ -name \#*\#` + +# Destroy the current user's cabal/ghc environment. +nukeclean: distclean + rm -rf ~/.cabal/ ~/.ghc/ + +# Generate documentation. +docs: $(DOCGEN) + ./Setup haddock + $(DOCGEN) > docs/escad.md + +# Upload to hackage? +dist: $(TARGETS) + ./Setup sdist + +# Generate examples. +examples: $(EXTOPENSCAD) + cd Examples && for each in `find ./ -name '*scad' -type f | sort`; do { echo $$each ; ../$(EXTOPENSCAD) $(SCADOPTS) $$each $(RTSOPTS); } done + cd Examples && for each in `find ./ -name '*.hs' -type f | sort`; do { filename=$(basename "$$each"); filename="$${filename%.*}"; cd ..; $(GHC) Examples/$$filename.hs -o Examples/$$filename; cd Examples; echo $$filename; $$filename +RTS -t ; } done + +# Generate images from the examples, so we can upload the images to our website. +images: examples + cd Examples && for each in `find ./ -name '*.stl' -type f | sort`; do { filename=$(basename "$$each"); filename="$${filename%.*}"; if [ -e $$filename.transform ] ; then echo ${stl2ps} $$each $$filename.ps `cat $$filename.transform`; else ${stl2ps} $$each $$filename.ps; fi; ${convert} $$filename.ps $$filename.png; } done + +# Hspec parser tests. +tests: $(TESTSUITE) $(TESTFILES) +# cd tests && for each in `find ./ -name '*scad' -type f | sort`; do { ../$(EXTOPENSCAD) $$each ${RESOPTS} ${RTSOPTS}; } done + $(TESTSUITE) + +# The ImplicitCAD library. +$(LIBTARGET): $(LIBFILES) + cabal build implicit + +# The parser test suite, since it's source is stored in a different location than the other binaries we build: +dist/build/test-implicit/test-implicit: $(TESTFILES) Setup dist/setup-config $(LIBTARGET) $(LIBFILES) + cabal build test-implicit + +# Build a binary target with cabal. +dist/build/%: programs/$$(word 2,$$(subst /, ,%)).hs Setup dist/setup-config $(LIBTARGET) $(LIBFILES) + cabal build $(word 2,$(subst /, ,$*)) + +# Prepare to build. +dist/setup-config: Setup implicit.cabal + cabal update + cabal install --only-dependencies --upgrade-dependencies $(PROFILING) + cabal configure --enable-tests --enable-benchmarks $(PROFILING) + +# The setup command, used to perform administrative tasks (haddock, upload to hackage, clean, etc...). +Setup: Setup.*hs + $(GHC) -O2 -Wall --make Setup + diff --git a/README.md b/README.md new file mode 100644 --- /dev/null +++ b/README.md @@ -0,0 +1,325 @@ +ImplicitCAD: Math Inspired CAD +============================== + +[![GitHub Workflow Status](https://img.shields.io/github/workflow/status/Haskell-Things/ImplicitCAD/Haskell%20CI)](https://github.com/Haskell-Things/ImplicitCAD/actions/workflows/ci.yaml) [![Hackage version](https://img.shields.io/hackage/v/implicit.svg?color=success)](https://hackage.haskell.org/package/implicit) [![IRC](https://img.shields.io/badge/irc.libera.chat-%23ImplicitCAD-blue.svg)](https://libera.chat/) + +Introduction +------------ + +ImplicitCAD is a programmatic CAD program, implemented in Haskell. Unlike traditional CAD programs, programmatic CAD programs use text descriptions of objects, as in programming. Concepts like variables, control structures and abstraction are used, just as in programming. This provides a number of advantages: + + - Objects can be abstracted and reused + - Repetitive tasks can be automated + - Objects can be designed parametrically + - The usual tools for software development (like version control) can be used + +The traditional example of programmatic CAD is OpenSCAD. + +Generally, objects in programmatic CAD are built with Constructive Solid Geometry or CSG. Unions, intersections and differences of simpler shapes slowly build the object. ImplicitCAD supports all this and much more! For example, it provides rounded unions so that one can have smooth interfaces between objects. + +It also directly provides some GCode generation, and has a parser for OpenSCAD to make it easier for people to transition/use. + +ImplicitCAD is very much a work in progress. The author considers it ready for beta testers and greatly appreciates bug reports. + + +ExtOpenSCAD Examples +-------------------- + +Let's begin with OpenSCAD examples, since they're likely a more comfortable format than Haskell for most readers :) + +ImplicitCAD supports a modified version of the OpenSCAD language, used by the popular programmatic CAD tool of the same name. + +Generally, normal OpenSCAD code should work. For example, save the following as `example1.scad` (or grab it out of the Examples/ directory shipped with ImplicitCAD). + +```c +// example1.scad -- The union of a square and a circle. +union() { + square([80,80]); + translate ([80,80]) circle(30); +} +``` + +Running `extopenscad example1.scad` will produce `example1.svg`, which will look like: + +![A Union of a Square and Circle](http://faikvm.com/ImplicitCAD/example1.svg) + +You can read more about standard openscad functionality in the [OpenSCAD User Manual](http://en.wikibooks.org/wiki/OpenSCAD_User_Manual). + +However, there are additional ImplicitCAD specific features. For example a rounded union: + +```c +//example2.escad -- A rounded union of a square and a circle. +union(r=14) { + square([80,80]); + translate ([80,80]) circle(30); +} +``` + +![A Rounded Union of a Square and Circle](http://faikvm.com/ImplicitCAD/example2.svg) + +(For code like this that is not backwards compatible with OpenSCAD, it is recommended that you save it as a .escad file -- Extended OpenSCAD.) + +Like openscad, ImplicitCAD supports extruding objects. + +```c +// example3.escad -- the extruded product of the union of five circles. +linear_extrude (height = 40, center=true){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} +``` + +![An Extrusion](http://faikvm.com/ImplicitCAD/example3.png) + +And we allow you to twist them as you extrude. + + +```c +// example4.escad -- the twisted extruded product of the union of five circles. +linear_extrude (height = 40, center=true, twist=90){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} +``` + +![An twisted extrusion](http://faikvm.com/ImplicitCAD/example4.png) + +In fact, we've extended this to allow you to twist at non-constant rates and even reverse directions. You just make `twist` a function! (We're following the openscad convention of using degrees...) + +```c +// example5.escad -- the variably twisted extruded product of the union of 5 circles. +linear_extrude (height = 40, center=true, twist(h) = 35*cos(h*2*pi/60)) { + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} +``` + +![A variably twisted ImplicitCAD extrusion](http://faikvm.com/ImplicitCAD/example5.png) + +We also allow you to do rounded extrusions. See, we heard you like rounding, so we set this up so you can rounded extrude your rounded union... + +```c +// example6.escad -- A rounded extrusion of the rounded union of 5 circles. +linear_extrude (height = 40, center=true, r=5){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} +``` + +![A rounded extrusion made with ImplicitCAD](http://faikvm.com/ImplicitCAD/example6.png) + +This is fully compatible with twisting, of course! + +```c +// example7.escad -- A twisted rounded extrusion of the rounded union of 5 circles. +linear_extrude (height = 40, center=true, twist=90, r=5){ + union ( r = 8) { + circle (10); + translate ([22,0]) circle (10); + translate ([0,22]) circle (10); + translate ([-22,0]) circle (10); + translate ([0,-22]) circle (10); + } +} +``` + +![A rounded twisted extrusion](http://faikvm.com/ImplicitCAD/example7.png) + + +ImplicitCAD also provides full programmatic functionality, like variable assignment in loops. For example, the trivial program: + +```c +// Example8.escad -- variable assignment in loops. +a = 5; +for (c = [1, 2, 3]) { + echo(c); + a = a*c; + echo(a); +} +``` + +Has the output: + + +``` +1.0 +5.0 +2.0 +10.0 +3.0 +30.0 +Nothing to render +``` + +As a functional programmer, I couldn't resist adding some other niceties to the language. For example, function currying: + +```c +// Example9.escad -- function currying. +f = max(4); +echo(f(5)); +echo(max(4,5)); +``` +And some higher order functions, like my friend map: + +```c +// Example10.escad -- map!. +echo(map(cos, [0, pi/2, pi])); +``` + +Haskell Examples +----------------- + +Everything you saw above can be done with the Haskell API. For example, a simple 2D example, the same as our first ExtOpenSCAD one: + +```haskell +-- Example 11 - the union of a square and a circle. +import Graphics.Implicit + +out = union [ + squareR 0 True (80, 80) + , translate (40, 40) (circle 30) + ] + +main = writeSVG 2 "test.svg" out +``` + +![A Union of a Square and a Circle](http://faikvm.com/ImplicitCAD/example11.svg) + + +A rounded union: + +```haskell +-- Example 12 - the rounded union of a square and a circle. +import Graphics.Implicit + +out = unionR 14 [ + squareR 0 True (80, 80) + , translate (80, 80) (circle 30) + ] + +main = writeSVG 2 "test.svg" out +``` + +![A Rounded Union of a Square and a Circle](http://faikvm.com/ImplicitCAD/example12.svg) + +A simple 3D example: + +```haskell +-- Example 13 - the union of a cube and a sphere. +import Graphics.Implicit + +out = union [ + cubeR 0 False (20, 20, 20) + , translate (20, 20, 20) (sphere 15) + ] + +main = writeSTL 1 "test.stl" out +``` + +![A Rounded Union of a Cube and a Sphere](http://faikvm.com/ImplicitCAD/example13.png) + +You can do a whole lot more! + +Try ImplicitCAD! +---------------- + + 1. Install GHC and cabal. + * Debain/Ubuntu: `apt-get install ghc cabal-install zlib1g-dev` + * Archlinux: `pacman -S ghc cabal-install` + * Red Hat/Fedora: `yum install ghc cabal-install` + * Mac OSX: + * Homebrew: `brew install ghc cabal-install` + * *Fink doesn't seem to have a package for cabal*; Install the Haskell Platform [manually](http://hackage.haskell.org/platform/mac.html). + * Windows: Follows [these install instructions](http://hackage.haskell.org/platform/windows.html). + * Other unices: If your package manager does not include ghc and cabal you should [install the Haskell platform](http://www.haskell.org/platform). + 2. You now have two options for installation: + * Latest release: + * Use cabal to install ImplicitCAD: `cabal update && cabal install implicit` + * Development version: + * Initialize your haskell environment: `cabal update` + * Git clone this repo: `git clone https://github.com/Haskell-Things/ImplicitCAD.git` + * cd in: `cd ImplicitCAD/` + * install the dependencies: `cabal install --only-dependencies` + * The previous step may fail, but it should tell you what's missing. + * Track down the relevant package in your package manager. You may need to install the -dev package. + * Finally, to build and install implicitcad: `cabal configure && cabal install` + 3. Try it! + * extopenscad test: + * Make a test file: `echo "circle(30);" > test.escad` + * Run extopencad: `extopenscad test.escad` + * Alternatively, `~/.cabal/bin/extopenscad test.escad` -- see bellow. + * Haskell ImplicitCAD test: + * Start ghci: `ghci` + * Load ImplicitCAD: `import Graphics.Implicit` + * Try it! `writeSVG 1 "test.svg" (circle 30)` + 4. Known issues: + * extopenscad test results in `bash: extopenscad: command not found` (or similar for your shell) + * This probably means `~/.cabal/bin/` is not in your `$PATH` variable. + Try using `~/.cabal/bin/extopenscad` as your command instead. + * Haskell test results in `module is not loaded: 'Graphics.Implicit' (./Graphics/Implicit.hs)` + * This is most likely a problem with your Linux distro and cabal not playing nice. + GHC is not configured to see the ImplicitCAD libraries. You can confirm this by + trying the test in `~/.cabal/lib/`. If that works, you should be able to use ghc + anywhere with the `-Ldir` or `-llib` options. Alternatively, some people have + permanently fixed this by doing the cabal install as root. + +Documentation +------------- + +Documentation can be generated from the source code of ImplicitCAD by Haddock by running `cabal haddock`. + +Releases of ImplicitCAD are uploaded to HackageDB which, in addition to making them avaialable through `cabal install`, puts the generated documentation on the Internet. So you can read the documentation for the most recent release of ImplicitCAD, 0.4.0.0, [on HackageDB](http://hackage.haskell.org/packages/archive/implicit/0.4.0.0/doc/html/Graphics-Implicit.html). + +In Implicit CAD, we consider objects as functions of `outwardness'. The boundary is 0, negative is the interior and positive the exterior. The magnitude is how far out or in. A description of the mathematical ideas underpinning ImplicitCAD are in a [blog post on colah's blog](http://christopherolah.wordpress.com/2011/11/06/manipulation-of-implicit-functions-with-an-eye-on-cad/). + +Related projects +---------------- + +* [ExplicitCAD](https://github.com/kliment/explicitcad/) +* [HSlice](https://github.com/Haskell-Things/hslice/) +* [implicitpipe](https://github.com/Haskell-Things/implicitpipe/) + +Status +------ + +ImplicitCAD is very much a work in progress. + +What works (January 26th, 2020 -- regressions are possible if not probable): + + - CSG, bevelled CSG, shells. + - 2D output (svg, png, dxf). + - 3D output (stl, png, obj). + - gcode generation for 2D to hacklab laser cutter. Not configurable. + +What still needs to be done: + + - ~gcode generation for 3D printers, gcode generator config.~ -- now a seperate program, [HSlice](https://github.com/julialongtin/hslice/)! + - Multi-material / color support. + - Hull support. + - Minkowski sum support. + +And a wishlist of things to be done as we go: + - More optimisation. + - Less bugs. + - More coverage of the openscad language. + - Pull the hacklab laser cutter support, and place it in HSlice. diff --git a/Release.md b/Release.md new file mode 100644 --- /dev/null +++ b/Release.md @@ -0,0 +1,36 @@ +# Release Processes: + +Purpose of this document: to make sure i follow a consistent patern, when making changes to ImplicitCAD. + +## "no point" releases: + +### Comment / Format / Messages + +These changes don't improve anything but the code quality, messages output, or build system. they can add features to the parser, but cannot remove them. they may not change the md5 of the generated STL files. + +1. make sure test-implicit is all green. +2. make sure docgen hasn't changed it's output too much. +3. make sure parser-bench does not show any unacceptable speed reductions. +4. make sure Benchmark does not show any unacceptable speed reductions. +5. make sure the md5sum of the stl files resulting from running 'make examples' have not changed. + +push to master. + +### Math / Types +These releases change the math engine, but only in a direction that is provably better, and shows in our examples. + +1. do all of the above. +2. check 'make examples' output. look at the times that valgrind measures. +3. check the md5sum of the .stl files output. + +If the md5sums of the last release and this one differ, run admesh on both, and examine the output. if the output is conclusively better for all changed examples, then proceed to push. + +push to master. + +## point releases: + +These releases change the quality of the output significantly enough that poking it with admesh is indeterminate, or they include changes to the parser such that old code would not work. + + + +## major releases: diff --git a/Setup.hs b/Setup.hs --- a/Setup.hs +++ b/Setup.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} import Distribution.Simple main :: IO () main = defaultMain diff --git a/Tools.md b/Tools.md new file mode 100644 --- /dev/null +++ b/Tools.md @@ -0,0 +1,17 @@ +# Purpose of this document: + +List the external tools i've found useful with this codebase. + +# Tools: + +## Workflow: + +My workflow consists of: + +### admesh + +### meshlab + +## Code Checking +'weeder' is useful for finding dead code +'hlint -g' is also useful. diff --git a/cabal.project b/cabal.project new file mode 100644 --- /dev/null +++ b/cabal.project @@ -0,0 +1,8 @@ +packages: . + +-- for GHC9+, until +-- * https://github.com/snapframework/snap-server/issues/141 +-- * https://github.com/snapframework/io-streams-haproxy/pull/24 +allow-newer: + snap-server:base + , io-streams-haproxy:base diff --git a/cabal.project.local.ci b/cabal.project.local.ci new file mode 100644 --- /dev/null +++ b/cabal.project.local.ci @@ -0,0 +1,4 @@ +flags: +implicitsnap + +package implicit + ghc-options: -fspecialise-aggressively -Werror diff --git a/default.nix b/default.nix new file mode 100644 --- /dev/null +++ b/default.nix @@ -0,0 +1,14 @@ +{ rev ? "c542baa0c894796c92a8173dead027f3b952c22e" +, withImplicitSnap ? false +, pkgs ? + if ((rev == "") || (rev == "default") || (rev == "local")) + then import { } + # Do not guard with hash, so the project is able to use current channels (rolling `rev`) of Nixpkgs + else import (builtins.fetchTarball "https://github.com/NixOS/nixpkgs/archive/${rev}.tar.gz") { } +}: +let + src = pkgs.nix-gitignore.gitignoreSource [ ] ./.; +in + if withImplicitSnap + then pkgs.haskellPackages.callCabal2nixWithOptions "implicit" src "-fimplicitsnap" { } + else pkgs.haskellPackages.callCabal2nix "implicit" src { } diff --git a/docs/hacking.md b/docs/hacking.md new file mode 100644 --- /dev/null +++ b/docs/hacking.md @@ -0,0 +1,174 @@ + +ImplicitCAD Hacking How To +========================== + +So you want to improve ImplicitCAD. Yay! More help is a good thing. + +As of the time of writing, ImplicitCAD has 3417 lines of code, 896 lines of comments, and 877 blank lines, for a total of 5190 lines spread over 42 files. For a project of ImplicitCAD's scope, that's pretty small, but it's still enough that it can be difficult to find the section we need to change... + +The structure of ImplicitCAD is as follows: + +``` +Graphics +└── Implicit + ├── Export + │   ├── Render + │   └── Symbolic + ├── ExtOpenScad + │   └── Util + └── ObjectUtil +``` + +`Graphics.Implicit.Export` is, as you may guess, where all the export stuff is. `Graphics.Implicit.ExtOpenScad` is the programming language interpreter for the ExtOpenScad language, our extention of openscad. Finally, the graphics engine is defined in `Graphics.Implicit` and `Graphics.Implicit.ObjectUtil`. + +The rest of this file will go through different changes you are likely to want to make and how to implement them. + +Language Changes +---------------- + +Most likely, you want to change one of four things: + +* **Expressions**: Expressions are things like `1+2`, `"abc"`, and `[sin(3.14), pi]`. They are defined in `Graphics.Implicit.ExtOpenScad.Expressions`. (Note that `sin` and `pi` are variables, which are defined elsewhere.) + +* **Statements**: Statements are things like variable assignment, for loops, and if statements. For example `for (a = [1,2,3]) echo (a);`. Statements are defined in `Graphics.Implicit.ExtOpenScad.Statements`. + +```haskell +computationStatement = ... + ifStatement, + forStatement, + ... + +... + +forStatement = (do + line <- fmap sourceLine getPosition + -- a for loop is of the form: + -- for ( vsymb = vexpr ) loopStatements + -- eg. for ( a = [1,2,3] ) {echo(a); echo "lol";} + -- eg. for ( [a,b] = [[1,2]] ) {echo(a+b); echo "lol";} + string "for" + many space + char '(' + many space + pattern <- patternMatcher + many space + char '=' + vexpr <- expression 0 + char ')' + many space + loopStatements <- suite + ... +``` + + +* **Default Variables**: Like `sin`, `pi`, `sqrt`. These are all defined in ` Graphics.Implicit.ExtOpenScad.Default`. We can just use `toOObj` to convert Haskell values into `OpenscadObj`s and use them as default variable settings. (Small caveat: inputs to `toOObj` can't be polymorphic, so we use a type signature to force it to a certain type.) + +```haskell +defaultFunctions = map (\(a,b) -> (a, toOObj ( b :: ℝ -> ℝ))) + [ + ("sin", sin), + ("cos", cos), + ("tan", tan), + ... + ] +``` + +* **Default Modules**: Like `sphere` and `linear_extrude`. These are all defined in `Graphics.Implicit.ExtOpenScad.Primitives`. + +```haskell +primitives = [ sphere, cube, square, cylinder, ... ] + +... + +-- **Exmaple of implementing a module** +-- sphere is a module without a suite named sphere, +-- this means that the parser will look for this like +-- sphere(args...); +sphere = moduleWithoutSuite "sphere" $ do + example "sphere(3);" + example "sphere(r=5);" + -- What are the arguments? + -- The radius, r, which is a (real) number. + -- Because we don't provide a default, this ends right + -- here if it doesn't get a suitable argument! + r :: ℝ <- argument "r" + `doc` "radius of the sphere" + -- So what does this module do? + -- It adds a 3D object, a sphere of radius r, + -- using the sphere implementation in Prim + -- (Graphics.Implicit.Primitives) + addObj3 $ Prim.sphere r + +``` + +Output Formats +-------------- + +Formats are defined in files like `Graphics.Implicit.Export.TriangleMeshFormats` (as is the case with STLs), `Graphics.Implicit.Export.PolylineMeshFormats` (as is the case with SVGs). + +Then, in `Graphics.Implicit.Export`: + +```haskell +writeSVG res = writeObject res PolylineFormats.svg +writeSTL res = writeObject res TriangleMeshFormats.stl +``` + +Rendering Algorithms +-------------------- + +These are defined in `Graphics.Implicit.Export.Render` and children. `Graphics.Implicit.Export.Render` begins with an outline of how rendering is done: + +```haskell +-- Here's the plan for rendering a cube (the 2D case is trivial): + +-- (1) We calculate midpoints using interpolate. +-- This guarentees that our mesh will line up everywhere. +-- (Contrast with calculating them in getSegs) + +import Graphics.Implicit.Export.Render.Interpolate (interpolate) + +... +``` + +If you are interested on working on this part of the code, read it. The children are also well documented. + +Graphics Primitives +------------------- + +The most complicated part of ImplicitCAD is the actual graphics engine. Before working on it, please familiarize yourself with the theory as described in [Chris' blog post](http://christopherolah.wordpress.com/2011/11/06/manipulation-of-implicit-functions-with-an-eye-on-cad/) (though changes have occured since then). + +The simples way to implement a new primitive is using `implicit`, a contructor that takes an implicit function and boudning box, producing an object. For example, we could have originally defined `sphere` as: + +```haskell +sphere :: ℝ -> SymbolicObj3 +sphere r = implicit ( + \(x,y,z) -> sqrt (x^2+y^2+z^2) - r, + ((-r, -r, -r), (r, r, r)) + ) +``` + +and put it in `Graphics.Implicit.Primitives`. However, to allow more powerful optimizations, meta-inspection, and other goodies, frequently used objects should be put in the `SymbolicObj` definitions in `Graphics.Implicit.Definitions`. For example, `sphere`: + +```haskell +data SymbolicObj3 = + CubeR ℝ ℝ3 ℝ3 + | Sphere ℝ + ... +``` + +Then one needs to make the relevant entries in `Graphics.Implicit.ObjectUtil.*`. + +`Graphics.Implicit.ObjectUtil.Box3`: + +```haskell +getBox3 (Sphere r ) = ((-r, -r, -r), (r,r,r)) +``` + +`Graphics.Implicit.ObjectUtil.GetImplicit3`: + +```haskell +getImplicit3 (Sphere r ) = + \(x,y,z) -> sqrt (x^2 + y^2 + z^2) - r +``` + + diff --git a/implicit.cabal b/implicit.cabal --- a/implicit.cabal +++ b/implicit.cabal @@ -1,52 +1,69 @@ +Cabal-version: 2.2 Name: implicit -Version: 0.3.0.1 -Cabal-version: >= 1.10 -Tested-with: GHC >= 8.6 +Version: 0.4.0.0 +Tested-with: GHC >= 8.8 Build-type: Simple Synopsis: A math-inspired programmatic 2D & 3D CAD system. Description: An OpenSCAD execution engine for generating models in STL and many other formats. -License: AGPL-3 +License: AGPL-3.0-or-later License-file: LICENSE Author: Julia Longtin Maintainer: Julia Longtin Homepage: http://implicitcad.org/ Category: Graphics -Library +flag extopenscad + default: + True + description: + Builds extopenscad program - Default-Extensions: NoImplicitPrelude +flag docgen + default: + True + description: + Builds docgen program + +flag implicitsnap + default: + False + description: + Builds implicitsnap program + +Common binstuff Default-Language: Haskell2010 - Build-depends: - base >= 3 && < 5, - filepath, - directory, - parsec, - parallel, - containers, - deepseq, - vector-space, - hspec, - text, - monads-tf, - bytestring, - blaze-builder, - blaze-markup, - blaze-svg, - storable-endian, - JuicyPixels, - transformers + Default-extensions: NoImplicitPrelude + Ghc-options: + -threaded + -rtsopts "-with-rtsopts -N -qg -t" + -optc-O3 + -- see GHC manual 8.2.1 section 6.5.1. + -feager-blackholing + -Wall + -Wextra + -Wcompat + -Wmonomorphism-restriction + -Wmissing-signatures + -Wmissing-export-lists + -Wmissing-import-lists + -Wmissing-home-modules + -Widentities + -Wimplicit-prelude + -Wredundant-constraints + -Wall-missed-specialisations +Common libstuff + Default-Language: Haskell2010 + Default-extensions: NoImplicitPrelude Ghc-options: --- -O2 -optc-O3 --- -dynamic -- see GHC manual 8.2.1 section 6.5.1. -feager-blackholing - -- for debugging. -Wall + -Wextra -Wcompat -Wmonomorphism-restriction - -Wmissing-local-signatures + -Wmissing-signatures -Wmissing-export-lists -Wmissing-import-lists -Wmissing-home-modules @@ -54,7 +71,30 @@ -Wimplicit-prelude -Wredundant-constraints -Wall-missed-specialisations --- -Werror + +Library + Import: libstuff + Build-depends: + base >= 3 && < 5, + filepath, + directory, + parsec, + parallel, + containers, + data-default-class, + deepseq, + text, + bytestring, + blaze-builder, + blaze-markup, + blaze-svg, + JuicyPixels, + mtl, + linear, + show-combinators, + lens + + Exposed-modules: Graphics.Implicit Graphics.Implicit.Definitions @@ -72,20 +112,27 @@ Graphics.Implicit.Export.SymbolicObj2 Graphics.Implicit.Export.SymbolicObj3 -- These are exposed for implicitsnap. + Graphics.Implicit.Export.SymbolicFormats Graphics.Implicit.Export.TriangleMeshFormats Graphics.Implicit.Export.NormedTriangleMeshFormats Graphics.Implicit.Export.PolylineFormats Graphics.Implicit.Export.DiscreteAproxable -- These are exposed for docgen. - Graphics.Implicit.ExtOpenScad.Primitives - + Graphics.Implicit.ExtOpenScad.Primitives + -- These are exposed for testing + Graphics.Implicit.Export.Render.GetLoops + -- Exposed for executables + Graphics.Implicit.Export.OutputFormat + Graphics.Implicit.Export.Resolution Other-modules: Graphics.Implicit.FastIntUtil Graphics.Implicit.IntegralUtil Graphics.Implicit.ObjectUtil.GetBox2 Graphics.Implicit.ObjectUtil.GetBox3 + Graphics.Implicit.ObjectUtil.GetBoxShared Graphics.Implicit.ObjectUtil.GetImplicit2 Graphics.Implicit.ObjectUtil.GetImplicit3 + Graphics.Implicit.ObjectUtil.GetImplicitShared Graphics.Implicit.ExtOpenScad.Default Graphics.Implicit.ExtOpenScad.Parser.Lexer Graphics.Implicit.ExtOpenScad.Parser.Util @@ -94,16 +141,13 @@ Graphics.Implicit.ExtOpenScad.Util.ArgParser Graphics.Implicit.ExtOpenScad.Util.OVal Graphics.Implicit.ExtOpenScad.Util.StateC - Graphics.Implicit.Export.MarchingSquaresFill Graphics.Implicit.Export.RayTrace - Graphics.Implicit.Export.SymbolicFormats Graphics.Implicit.Export.Util Graphics.Implicit.Export.TextBuilderUtils Graphics.Implicit.Export.Symbolic.Rebound2 Graphics.Implicit.Export.Symbolic.Rebound3 Graphics.Implicit.Export.Render Graphics.Implicit.Export.Render.Definitions - Graphics.Implicit.Export.Render.GetLoops Graphics.Implicit.Export.Render.GetSegs Graphics.Implicit.Export.Render.HandleSquares Graphics.Implicit.Export.Render.Interpolate @@ -112,152 +156,75 @@ Graphics.Implicit.Export.Render.HandlePolylines Executable extopenscad + Import: binstuff + if !flag(extopenscad) + buildable: False Main-is: extopenscad.hs - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 Hs-source-dirs: programs Build-depends: base, - vector-space, filepath, optparse-applicative >= 0.10.0, + text, implicit - Ghc-options: --- -O2 - -optc-O3 - -threaded - -rtsopts --- -dynamic - -- see GHC manual 8.2.1 section 6.5.1. - -feager-blackholing - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror Executable docgen + Import: binstuff + if !flag(docgen) + buildable: False main-is: docgen.hs - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 Hs-source-dirs: programs build-depends: base, + text, implicit - ghc-options: --- -dynamic - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror Executable implicitsnap + Import: binstuff + if !flag(implicitsnap) + buildable: False Main-is: implicitsnap.hs - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 Hs-source-dirs: programs Build-depends: + aeson, base, bytestring, implicit, + linear, snap-core, snap-server, text, - vector-space - Ghc-options: - -threaded - -rtsopts --- -O2 - -optc-O3 --- -dynamic - -- see GHC manual 8.2.1 section 6.5.1. - -feager-blackholing - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror + utf8-string, -Executable Benchmark +Benchmark Benchmark + Import: binstuff + Type: exitcode-stdio-1.0 Main-is: Benchmark.hs - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 Hs-source-dirs: programs Build-depends: base, criterion, + linear, implicit - Ghc-options: --- -O2 - -optc-O3 --- -dynamic - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror Test-suite test-implicit + Import: binstuff Type: exitcode-stdio-1.0 - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 + Main-is: Main.hs + Hs-source-dirs: tests Build-depends: base, + bytestring, hspec, implicit, - parsec - Main-is: Main.hs - Hs-source-dirs: tests - Ghc-options: --- -O2 - -optc-O3 --- -dynamic - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror + text, + parsec, + directory, + hedgehog, + hw-hspec-hedgehog, + QuickCheck, + linear, + lens Other-Modules: ParserSpec.Expr ParserSpec.Statement @@ -266,36 +233,26 @@ ExecSpec.Util MessageSpec.Message MessageSpec.Util + PropertySpec + PropertySpec.Exec + GoldenSpec.Spec + GoldenSpec.Util + Graphics.Implicit.Test.Instances + Graphics.Implicit.Test.Utils + ImplicitSpec + TesselationSpec Benchmark parser-bench + Import: binstuff Type: exitcode-stdio-1.0 - default-extensions: NoImplicitPrelude - Default-Language: Haskell2010 + Main-is: parser-bench.hs + Hs-source-dirs: programs Build-depends: base, criterion, parsec, implicit - Main-is: parser-bench.hs - Hs-source-dirs: programs - Ghc-options: --- -O2 - -optc-O3 --- -dynamic - -- for debugging. - -Wall - -Wcompat - -Wmonomorphism-restriction - -Wmissing-local-signatures - -Wmissing-export-lists - -Wmissing-import-lists - -Wmissing-home-modules - -Widentities - -Wimplicit-prelude - -Wredundant-constraints - -Wall-missed-specialisations --- -Werror Source-repository head Type: git - Location: https://github.com/colah/ImplicitCAD.git + Location: https://github.com/Haskell-Things/ImplicitCAD.git diff --git a/layout/ormolu.sh b/layout/ormolu.sh new file mode 100644 --- /dev/null +++ b/layout/ormolu.sh @@ -0,0 +1,92 @@ +#!/usr/bin/env bash + +set -e + +cd "$( dirname "${BASH_SOURCE[0]}" )" + +command -v grep >/dev/null 2>&1 || { echo >&2 "grep is not installed, aborting."; exit 1; } +command -v awk >/dev/null 2>&1 || { echo >&2 "awk is not installed, aborting."; exit 1; } +command -v sed >/dev/null 2>&1 || { echo >&2 "sed is not installed, aborting."; exit 1; } +command -v yq >/dev/null 2>&1 || { echo >&2 "yq is not installed, aborting. See https://github.com/mikefarah/yq"; exit 1; } + +ORMOLU_VERSION=$(cat ormolu.version) +( ormolu -v 2>/dev/null | grep -q $ORMOLU_VERSION ) || ( echo "please install ormolu $ORMOLU_VERSION (eg., run 'cabal install ormolu' and ensure ormolu is on your PATH.)"; exit 1 ) +echo "ormolu version: $ORMOLU_VERSION" + +ARG_ALLOW_DIRTY_WC="0" +ARG_ORMOLU_MODE="inplace" + +USAGE=" +This bash script can either (a) apply ormolu formatting in-place to +all haskell modules in your working copy, or (b) check all modules for +formatting and fail if ormolu needs to be applied. + +(a) is mostly for migrating from manually-formatted projects to +ormolu-formatted ones; (b) can be run in by a continuous integration +service to make sure no branches with non-ormolu formatting make get +merged. + +For every-day dev work, consider using one of the ormolu editor +integrations (see https://github.com/tweag/ormolu#editor-integration). + +USAGE: $0 + -h: show this help. + -f: run even if working copy is dirty. default: ${ARG_ALLOW_DIRTY_WC} + -c: set ormolu mode to 'check'. default: 'inplace' + +" + +# Option parsing: +# https://sookocheff.com/post/bash/parsing-bash-script-arguments-with-shopts/ +while getopts ":fch" opt; do + case ${opt} in + f ) ARG_ALLOW_DIRTY_WC="1" + ;; + c ) ARG_ORMOLU_MODE="check" + ;; + h ) echo "$USAGE" 1>&2 + exit 0 + ;; + esac +done +shift $((OPTIND -1)) + +if [ "$#" -ne 0 ]; then + echo "$USAGE" 1>&2 + exit 1 +fi + +cd ".." + +if [ "$(git status -s | grep -v \?\?)" != "" ]; then + echo "working copy not clean." + if [ "$ARG_ALLOW_DIRTY_WC" == "1" ]; then + echo "running with -f. this will mix ormolu and other changes." + else + echo "run with -f if you want to force mixing ormolu and other changes." + exit 1 + fi +fi + +echo "ormolu mode: $ARG_ORMOLU_MODE" + +FAILURES=0 + +for hsfile in $(git ls-files | grep '\.hsc\?$'); do + FAILED=0 + ormolu --mode $ARG_ORMOLU_MODE --check-idempotence $LANGUAGE_EXTS "$hsfile" || FAILED=1 + if [ "$FAILED" == "1" ]; then + ((++FAILURES)) + echo "$hsfile... *** FAILED" + else + echo "$hsfile... ok" + fi +done + +if [ "$FAILURES" != 0 ]; then + echo "ormolu failed on $FAILURES files." + if [ "$ARG_ORMOLU_MODE" == "check" ]; then + echo -en "\n\nyou can fix this by running 'make format' from the git repo root.\n\n" + fi + exit 1 +fi diff --git a/layout/ormolu.version b/layout/ormolu.version new file mode 100644 --- /dev/null +++ b/layout/ormolu.version @@ -0,0 +1,1 @@ +0.1.4.1 diff --git a/layout/rebase-onto-formatter.sh b/layout/rebase-onto-formatter.sh new file mode 100644 --- /dev/null +++ b/layout/rebase-onto-formatter.sh @@ -0,0 +1,125 @@ +#!/usr/bin/env bash + +# written by mheinzel + +set -euo pipefail + +command -v sed >/dev/null 2>&1 || { echo >&2 "sed is not installed, aborting."; exit 1; } + +BASE_COMMIT=${1:-} +TARGET_COMMIT=${2:-} +FORMATTING_COMMAND='make formatf' +USAGE=" +USAGE: $0 BASE_COMMIT TARGET_COMMIT + + BASE_COMMIT: + A commit that contains the changes to formatting version and + config already from TARGET_COMMIT, but not the automatically + applied formatting changes. Must be the first commit on the + branch you are about to rebase (not the one returned by + git-merge-base). It will be removed from the resulting branch. + TARGET_COMMIT: + The commit introducing the formatting that you want to rebase onto. + +Rebase a branch onto changes created by an automated formatter. The script +will keep the (linear) history of the branch intact and make the commits appear +as if the changes had been applied onto the newly-formatted version all along. + +INSTRUCTIONS: +1. Make a copy of your branch (or be prepared to salvage it from reflog). + $ git branch mybranch-backup +2. Find out what the base commit is. +3. Rebase onto the base commit yourself. + $ git rebase \$BASE_COMMIT +4. Make sure the formatting tool is installed with the correct version and settings. + $ stack install ormolu +5. Run this script. + $ $0 \$BASE_COMMIT \$TARGET_COMMIT + +" + +if [ -z "$BASE_COMMIT" ] || [ -z "$TARGET_COMMIT" ] || [ -z "$FORMATTING_COMMAND" ] +then + echo "$USAGE" 1>&2 + exit 1 +fi + +echo "Running the script now. This might take a while..." + +# The general idea is the following: +# +# We have a branch consisting of commits C1, C2, ... on top of our BASE_COMMIT C0. +# Also, from C0 an automated formatting change f was made on some branch (e.g. develop). +# +# C0 ----> C1 ----> C2 ----> ... ----> Cn +# | +# f +# | +# v +# C0' +# +# Now, how do we obtain versions of our commits operating on the formatted code (let's call them Ci')? +# +# C0 ----> C1 ----> C2 ----> ... ----> Cn +# | +# f +# | +# v +# C0' ---> C1' ---> C2' ---> ... ----> Cn' +# +# One useful thing is that since f is defined by an automated tool, +# we know f applied at every commit Ci, resulting in a hypothetical Ci'. +# +# C0 ----> C1 ----> C2 ----> ... ----> Cn +# | | | | +# f f f f +# | | | | +# v v v v +# C0' C1' C2' Cn' +# +# And we can also get its inverse g (applied at Ci') by reverting the commit. +# +# C0 ----> C1 ----> C2 ----> ... ----> Cn +# |^ |^ |^ |^ +# f| f| f| f| +# |g |g |g |g +# v| v| v| v| +# C0' C1' C2' Cn' +# +# Finally, we can get from C(i-1)' to Ci' by composing three arrows: +# - g at C(i-1) +# - Ci +# - f at C1 +# +# C0 ----> C1 ----> C2 ----> ... ----> Cn +# |^ |^ |^ |^ +# f| f| f| f| +# |g |g |g |g +# v| v| v| v| +# C0' ---> C1' ---> C2' ---> ... ----> Cn' + +set -x + +# edit every commit Ci, adding new commits representing f at Ci and it's inverse g +git rebase $BASE_COMMIT~1 --exec "$FORMATTING_COMMAND && git commit -am format && git revert HEAD --no-edit" + +# drop last commit (do not revert formatting at the end of the branch) +git reset HEAD~1 --hard + +# now for every Ci, squash with the previous and next commit (i.e. g at C(i-1) and f at Ci). +# However, we want to use Ci's commit message and author. +# To do this, we run the following command after each group of these 3 commits: +# Ci=$(git rev-parse HEAD~1); git reset --soft HEAD~3; git commit --reuse-message $Ci +# We do an interactive rebase, but instead of editing the commit sequence manually, +# we use sed for that, inserting an `exec` command after every 3 commits. +GIT_SEQUENCE_EDITOR='sed -i -e "4~3s/^\(pick \S* format\)$/\1\nexec Ci=\$(git rev-parse HEAD~1); git reset --soft HEAD~3; git commit --reuse-message \$Ci/"' \ + git rebase --interactive $BASE_COMMIT + +# rebase onto TARGET_COMMIT. +# Annoyingly, we still have this first "format" commit that should already be +# part of the TARGET_COMMIT. So we drop it. +GIT_SEQUENCE_EDITOR='sed -i "1s/pick/drop/"' \ + git rebase --interactive $BASE_COMMIT --onto $TARGET_COMMIT + +echo "Done." +echo "Please check that the history looks as it should and all expected commits are there." diff --git a/programs/Benchmark.hs b/programs/Benchmark.hs --- a/programs/Benchmark.hs +++ b/programs/Benchmark.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -6,19 +7,23 @@ -- Let's be explicit about where things come from :) -import Prelude (($), (*), (/), String, IO, cos, pi, fmap, zip3, Either(Left, Right), fromIntegral, (<>), (<$>)) +import Prelude (pure, ($), (*), (/), String, IO, cos, pi, fmap, zip3, Either(Left, Right), fromIntegral, (<>), (<$>)) -- Use criterion for benchmarking. see import Criterion.Main (Benchmark, bgroup, bench, nf, nfAppIO, defaultMain) -- The parts of ImplicitCAD we know how to benchmark. -import Graphics.Implicit (union, circle, sphere, SymbolicObj2, SymbolicObj3, writeDXF2, writeSVG, writePNG2, writeSTL, writeBinSTL, unionR, translate, difference, extrudeRM, rect3R) +import Graphics.Implicit (union, circle, sphere, SymbolicObj2, SymbolicObj3, ExtrudeMScale(C1), writeDXF2, writeSVG, writePNG2, writeSTL, writeBinSTL, unionR, translate, difference, extrudeM, rect3, withRounding) +import Graphics.Implicit.Definitions (defaultObjectContext) import Graphics.Implicit.Export.SymbolicObj2 (symbolicGetContour) import Graphics.Implicit.Export.SymbolicObj3 (symbolicGetMesh) -- The variables defining distance and counting in our world. import Graphics.Implicit.Definitions (ℝ, Fastℕ) +-- Vectors. +import Linear(V2(V2), V3(V3)) + -- Haskell representations of objects to benchmark. -- FIXME: move each of these objects into seperate compilable files. @@ -28,15 +33,15 @@ obj2d_1 = unionR 8 [ circle 10 - , translate (22,0) $ circle 10 - , translate (0,22) $ circle 10 - , translate (-22,0) $ circle 10 - , translate (0,-22) $ circle 10 + , translate (V2 22 0) $ circle 10 + , translate (V2 0 22) $ circle 10 + , translate (V2 (-22) 0) $ circle 10 + , translate (V2 0 (-22)) $ circle 10 ] -- | An extruded version of obj2d_1, should be identical to the website's example, and example5.escad. object1 :: SymbolicObj3 -object1 = extrudeRM 0 (Right twist) (Left 1) (Left (0,0)) obj2d_1 (Left 40) +object1 = extrudeM (Right twist) (C1 1) (Left (V2 0 0)) obj2d_1 (Left 40) where twist :: ℝ -> ℝ twist h = 35*cos(h*2*pi/60) @@ -48,8 +53,8 @@ squarePipe :: (ℝ,ℝ,ℝ) -> ℝ -> ℝ -> SymbolicObj3 squarePipe (x,y,z) diameter precision = union - ((\start-> translate start - $ rect3R 0 (0,0,0) (diameter,diameter,diameter) + ((\(a, b, c)-> translate (V3 a b c) + $ rect3 (pure 0) (pure diameter) ) <$> zip3 (fmap (\n->(fromIntegral n/precision)*x) [0..100::Fastℕ]) @@ -59,16 +64,13 @@ -- | A third 3d object to benchmark. object3 :: SymbolicObj3 object3 = - difference - [ rect3R 1 (-1,-1,-1) (1,1,1) - , rect3R 1 (0,0,0) (2,2,2) - ] + withRounding 1 $ difference (rect3 (pure (-1)) (pure 1)) [ rect3 (pure 0) (pure 2)] -- | Example 13 - the rounded union of a cube and a sphere. object4 :: SymbolicObj3 object4 = union [ - rect3R 0 (0,0,0) (20,20,20), - translate (20,20,20) (sphere 15) ] + rect3 (pure 0) (pure 20), + translate (pure 20) (sphere 15) ] -- | Benchmark a 2D object. obj2Benchmarks :: String -> String -> SymbolicObj2 -> Benchmark @@ -78,7 +80,7 @@ bench "SVG write" $ nfAppIO (writeSVG 1 $ filename <> ".svg") obj, bench "PNG write" $ nfAppIO (writePNG2 1 $ filename <> ".png") obj, bench "DXF write" $ nfAppIO (writeDXF2 1 $ filename <> ".dxf") obj, - bench "Get contour" $ nf (symbolicGetContour 1) obj + bench "Get contour" $ nf (symbolicGetContour 1 defaultObjectContext) obj ] -- | Benchmark a 3D object. diff --git a/programs/docgen.hs b/programs/docgen.hs --- a/programs/docgen.hs +++ b/programs/docgen.hs @@ -1,16 +1,18 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Released under the GNU GPL, see LICENSE -- FIXME: document why we need each of these. {-# LANGUAGE ScopedTypeVariables #-} -import Prelude(IO, Show, String, Int, Maybe(Just,Nothing), Eq, return, ($), show, fmap, (<>), putStrLn, filter, zip, null, undefined, const, Bool(True,False), fst, (.), head, tail, length, (/=), (+), error) +import Prelude(IO, Show, String, Int, Maybe(Just,Nothing), Eq, return, ($), show, fmap, (<>), putStrLn, filter, zip, null, undefined, const, Bool(True,False), fst, (.), head, tail, length, (/=), (+), error, print) import Graphics.Implicit.ExtOpenScad.Primitives (primitiveModules) -import Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP,APFailIf,APExample,APTest,APTerminator,APBranch), Symbol(Symbol), OVal(ONModule), SourcePosition(SourcePosition), StateC) +import Graphics.Implicit.ExtOpenScad.Definitions (ArgParser(AP,APFail,APExample,APTest,APTerminator,APBranch), Symbol(Symbol), OVal(ONModule), SourcePosition(SourcePosition), StateC) import qualified Control.Exception as Ex (catch, SomeException) import Control.Monad (forM_) import Data.Traversable (traverse) +import Data.Text.Lazy (unpack, pack) -- | Return true if the argument is of type ExampleDoc. isExample :: DocPart -> Bool @@ -33,7 +35,7 @@ examples = filter isExample moduleDocList arguments = filter isArgument moduleDocList syntaxes = filter isBranch moduleDocList - moduleLabel = moduleName + moduleLabel = unpack moduleName if level /= 0 then @@ -71,14 +73,14 @@ forM_ arguments $ \(ArgumentDoc (Symbol name) posfallback description) -> case (posfallback, description) of (Nothing, "") -> - putStrLn $ " * `" <> name <> "`" + putStrLn $ " * `" <> unpack name <> "`" (Just fallback, "") -> - putStrLn $ " * `" <> name <> " = " <> fallback <> "`" + putStrLn $ " * `" <> unpack name <> " = " <> fallback <> "`" (Nothing, _) -> do - putStrLn $ " * `" <> name <> "`" + putStrLn $ " * `" <> unpack name <> "`" putStrLn $ " " <> description (Just fallback, _) -> do - putStrLn $ " * `" <> name <> " = " <> fallback <> "`" + putStrLn $ " * `" <> unpack name <> " = " <> fallback <> "`" putStrLn $ " " <> description putStrLn "" @@ -87,7 +89,7 @@ return () else forM_ syntaxes $ \(Branch syntax) -> - dumpPrimitive (Symbol $ "Syntax " <> show (level+1)) syntax (level+1) + dumpPrimitive (Symbol $ pack $ "Syntax " <> show (level+1)) syntax (level+1) -- | Our entrypoint. Generate one document describing all of our primitives. main :: IO () @@ -126,7 +128,6 @@ -- If so, we *back off*. -- | Extract Documentation from an ArgParser - getArgParserDocs :: ArgParser a -- ^ ArgParser(s) -> IO [DocPart] -- ^ Docs (sadly IO wrapped) @@ -135,27 +136,26 @@ otherDocs <- Ex.catch (getArgParserDocs $ fnext undefined) (\(_ :: Ex.SomeException) -> return []) if otherDocs /= [Empty] then - return $ ArgumentDoc name (fmap show fallback) doc : otherDocs + return $ ArgumentDoc name (fmap show fallback) (unpack doc) : otherDocs else - return [ArgumentDoc name (fmap show fallback) doc] - -getArgParserDocs (APFailIf _ _ child) = getArgParserDocs child + return [ArgumentDoc name (fmap show fallback) (unpack doc)] getArgParserDocs (APExample str child) = do childResults <- getArgParserDocs child - return $ ExampleDoc str:childResults + return $ ExampleDoc (unpack str):childResults -- We try to look at as little as possible, to avoid the risk of triggering an error. -- Yay laziness! getArgParserDocs (APTest _ _ child) = getArgParserDocs child --- To look at this one would almost certainly be death (exception) +-- To look at these would almost certainly be death (exception) getArgParserDocs (APTerminator _) = return [Empty] +getArgParserDocs (APFail _) = return [Empty] -- This one confuses me. getArgParserDocs (APBranch children) = do - putStrLn $ show $ length children + print (length children) otherDocs <- Ex.catch (getArgParserDocs (APBranch $ tail children)) (\(_ :: Ex.SomeException) -> return []) aResults <- getArgParserDocs $ head children if otherDocs /= [Empty] diff --git a/programs/extopenscad.hs b/programs/extopenscad.hs --- a/programs/extopenscad.hs +++ b/programs/extopenscad.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) -- Copyright (C) 2014 2016, Mike MacHenry (mike.machenry@gmail.com) @@ -5,38 +6,25 @@ -- An interpreter to run extended OpenScad code. outputs STL, OBJ, SVG, SCAD, PNG, DXF, or GCODE. --- Enable additional syntax to make our code more readable. -{-# LANGUAGE ViewPatterns #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} -- Let's be explicit about what we're getting from where :) -import Prelude (Read(readsPrec), Maybe(Just, Nothing), IO, Bool(True, False), FilePath, Show, Eq, String, (<>), ($), (*), (/), (==), (>), (**), (-), readFile, minimum, drop, error, fmap, fst, min, sqrt, tail, take, length, putStrLn, show, (>>=), lookup, return, unlines, filter, not, null, (||), (&&), (.)) - --- Our Extended OpenScad interpreter, and functions to write out files in designated formats. -import Graphics.Implicit (runOpenscad, writeSVG, writeDXF2, writeBinSTL, writeSTL, writeOBJ, writeSCAD2, writeSCAD3, writeGCodeHacklabLaser, writePNG2, writePNG3) +import Prelude (Maybe(Just, Nothing), IO, Bool(True, False), FilePath, String, (<>), ($), readFile, fst, putStrLn, show, (>>=), return, unlines, filter, not, null, (||), (&&), (.), print) --- Functions for finding a box around an object, so we can define the area we need to raytrace inside of. -import Graphics.Implicit.ObjectUtil (getBox2, getBox3) +-- Our Extended OpenScad interpreter +import Graphics.Implicit (union, runOpenscad) --- Definitions of the datatypes used for 2D objects, 3D objects, and for defining the resolution to raytrace at. -import Graphics.Implicit.Definitions (SymbolicObj2(UnionR2), SymbolicObj3(UnionR3), ℝ) +import Graphics.Implicit.Definitions (ℝ) -- Use default values when a Maybe is Nothing. import Data.Maybe (fromMaybe, maybe) --- For making the format guesser case insensitive when looking at file extensions. -import Data.Char (toLower) - --- To flip around formatExtensions. Used when looking up an extension based on a format. -import Data.Tuple (swap) - -- Functions and types for dealing with the types used by runOpenscad. -- The definition of the symbol type, so we can access variables, and see the requested resolution. -import Graphics.Implicit.ExtOpenScad.Definitions (VarLookup, OVal(ONum), lookupVarIn, Message(Message), MessageType(TextOut), ScadOpts(ScadOpts)) - --- Operator to subtract two points. Used when defining the resolution of a 2d object. -import Data.AffineSpace ((.-.)) +import Graphics.Implicit.ExtOpenScad.Definitions (Message(Message), MessageType(TextOut), ScadOpts(ScadOpts)) import Control.Applicative ((<$>), (<*>), many) @@ -48,6 +36,12 @@ -- For handling handles to output files. import System.IO (Handle, hPutStr, stdout, stderr, openFile, IOMode(WriteMode)) +import Data.Text.Lazy (Text, unpack) +import Graphics.Implicit.Primitives (Object(getBox)) +import Graphics.Implicit.Export (export2, export3) +import Graphics.Implicit.Export.OutputFormat (OutputFormat, guessOutputFormat, formatExtension, def2D, def3D) +import Graphics.Implicit.Export.Resolution (estimateResolution) + -- | Our command line options. data ExtOpenScadOpts = ExtOpenScadOpts { outputFile :: Maybe FilePath @@ -63,42 +57,6 @@ , inputFile :: FilePath } --- | A type serving to enumerate our output formats. -data OutputFormat - = SVG - | SCAD - | PNG - | GCode - | ASCIISTL - | STL - | OBJ --- | 3MF - | DXF - deriving (Show, Eq) - --- | A list mapping file extensions to output formats. -formatExtensions :: [(String, OutputFormat)] -formatExtensions = - [ ("svg", SVG) - , ("scad", SCAD) - , ("png", PNG) - , ("ngc", GCode) - , ("gcode", GCode) - , ("stl", STL) - , ("stl.text", ASCIISTL) - , ("obj", OBJ) --- , ("3mf", 3MF) - , ("dxf", DXF) - ] - --- | Lookup an output format for a given output file. Throw an error if one cannot be found. -guessOutputFormat :: FilePath -> OutputFormat -guessOutputFormat fileName = - fromMaybe (error $ "Unrecognized output format: " <> ext) - $ readOutputFormat $ tail ext - where - (_,ext) = splitExtension fileName - -- | The parser for our command line arguments. extOpenScadOpts :: Parser ExtOpenScadOpts extOpenScadOpts = ExtOpenScadOpts @@ -167,81 +125,15 @@ <> help "Input extended OpenSCAD file" ) --- | Try to look up an output format from a supplied extension. -readOutputFormat :: String -> Maybe OutputFormat -readOutputFormat ext = lookup (fmap toLower ext) formatExtensions - --- | A Read instance for our output format. Used by 'auto' in our command line parser. --- Reads a string, and evaluates to the appropriate OutputFormat. -instance Read OutputFormat where - readsPrec _ myvalue = - tryParse formatExtensions - where - tryParse :: [(String, OutputFormat)] -> [(OutputFormat, String)] - tryParse [] = [] -- If there is nothing left to try, fail - tryParse ((attempt, result):xs) = - if take (length attempt) myvalue == attempt - then [(result, drop (length attempt) myvalue)] - else tryParse xs - --- | Find the resolution to raytrace at. -getRes :: (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) -> ℝ --- | If specified, use a resolution specified by the "$res" a variable in the input file. -getRes (lookupVarIn "$res" -> Just (ONum res), _, _, _) = res --- | If there was no resolution specified, use a resolution chosen for 3D objects. --- FIXME: magic numbers. -getRes (vars, _, obj:objs, _) = - let - ((x1,y1,z1),(x2,y2,z2)) = getBox3 (UnionR3 0 (obj:objs)) - (x,y,z) = (x2-x1, y2-y1, z2-z1) - in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of - ONum qual | qual > 0 -> min (minimum [x,y,z]/2) ((x*y*z/qual)**(1/3) / 22) - _ -> min (minimum [x,y,z]/2) ((x*y*z)**(1/3) / 22) --- | ... Or use a resolution chosen for 2D objects. --- FIXME: magic numbers. -getRes (vars, obj:objs, _, _) = - let - (p1,p2) = getBox2 (UnionR2 0 (obj:objs)) - (x,y) = p2 .-. p1 - in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of - ONum qual | qual > 0 -> min (min x y/2) (sqrt(x*y/qual) / 30) - _ -> min (min x y/2) (sqrt(x*y) / 30) --- | fallthrough value. -getRes _ = 1 - --- | Output a file containing a 3D object. -export3 :: Maybe OutputFormat -> ℝ -> FilePath -> SymbolicObj3 -> IO () -export3 posFmt res output obj = - case posFmt of - Just ASCIISTL -> writeSTL res output obj - Just STL -> writeBinSTL res output obj - Just SCAD -> writeSCAD3 res output obj - Just OBJ -> writeOBJ res output obj - Just PNG -> writePNG3 res output obj - Nothing -> writeBinSTL res output obj - Just fmt -> putStrLn $ "Unrecognized 3D format: " <> show fmt - --- | Output a file containing a 2D object. -export2 :: Maybe OutputFormat -> ℝ -> FilePath -> SymbolicObj2 -> IO () -export2 posFmt res output obj = - case posFmt of - Just SVG -> writeSVG res output obj - Just DXF -> writeDXF2 res output obj - Just SCAD -> writeSCAD2 res output obj - Just PNG -> writePNG2 res output obj - Just GCode -> writeGCodeHacklabLaser res output obj - Nothing -> writeSVG res output obj - Just fmt -> putStrLn $ "Unrecognized 2D format: " <> show fmt - -- | Determine where to direct the text output of running the extopenscad program. messageOutputHandle :: ExtOpenScadOpts -> IO Handle messageOutputHandle args = maybe (return stdout) (`openFile` WriteMode) (messageOutputFile args) -textOutOpenScad :: Message -> String +textOutOpenScad :: Message -> Text textOutOpenScad (Message _ _ msg) = "ECHO: " <> msg -textOutBare :: Message -> String -textOutBare (Message _ _ msg) = show msg +textOutBare :: Message -> Text +textOutBare (Message _ _ msg) = msg isTextOut :: Message -> Bool isTextOut (Message TextOut _ _ ) = True @@ -289,24 +181,23 @@ else putStrLn "Processing File." s@(_, obj2s, obj3s, messages) <- openscadProgram - let res = fromMaybe (getRes s) (resolution args) + let res = fromMaybe (estimateResolution s) (resolution args) basename = fst (splitExtension $ inputFile args) - posDefExt = case format of - Just f -> Prelude.lookup f (fmap swap formatExtensions) - Nothing -> Nothing -- We don't know the format -- it will be 2D/3D default + -- If we don't know the format -- it will be 2D/3D default (stl) + posDefExt = fromMaybe "stl" (formatExtension <$> format) case (obj2s, obj3s) of ([], obj:objs) -> do let output = fromMaybe - (basename <> "." <> fromMaybe "stl" posDefExt) + (basename <> "." <> posDefExt) (outputFile args) target = if null objs then obj - else UnionR3 0 (obj:objs) + else union (obj:objs) if quiet args then return () - else putStrLn $ objectMessage "3D" (inputFile args) output (show res) $ show $ getBox3 target + else putStrLn $ objectMessage "3D" (inputFile args) output (show res) $ show $ getBox target -- FIXME: construct and use a warning for this. if null objs @@ -316,21 +207,21 @@ if quiet args then return () - else putStrLn $ show target + else print target - export3 format res output target + export3 (fromMaybe def3D format) res output target (obj:objs, []) -> do let output = fromMaybe - (basename <> "." <> fromMaybe "svg" posDefExt) + (basename <> "." <> posDefExt) (outputFile args) target = if null objs then obj - else UnionR2 0 (obj:objs) + else union (obj:objs) if quiet args then return () - else putStrLn $ objectMessage "2D" (inputFile args) output (show res) $ show $ getBox2 target + else putStrLn $ objectMessage "2D" (inputFile args) output (show res) $ show $ getBox target -- FIXME: construct and use a warning for this. if null objs @@ -340,9 +231,9 @@ if quiet args then return () - else putStrLn $ show target + else print target - export2 format res output target + export2 (fromMaybe def2D format) res output target ([], []) -> if quiet args @@ -355,8 +246,8 @@ let textOutHandler = case () of - _ | openScadEcho args -> textOutOpenScad - _ | rawEcho args -> textOutBare + _ | openScadEcho args -> unpack . textOutOpenScad + _ | rawEcho args -> unpack . textOutBare _ -> show hPutStr hMessageOutput $ unlines $ textOutHandler <$> filter isTextOut messages diff --git a/programs/implicitsnap.hs b/programs/implicitsnap.hs --- a/programs/implicitsnap.hs +++ b/programs/implicitsnap.hs @@ -1,10 +1,10 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014 2015, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE --- FIXME: what are these for? +-- Allow us to use string literals for ByteString {-# LANGUAGE OverloadedStrings #-} -{-# LANGUAGE ViewPatterns #-} -- A Snap(HTTP) server providing an ImplicitCAD REST API. @@ -12,51 +12,55 @@ -- Let's be explicit about what we're getting from where :) -import Prelude (IO, Maybe(Just, Nothing), String, Bool(True, False), Show, ($), (<>), (>), (.), (-), (/), (*), (**), (==), null, sqrt, min, max, minimum, maximum, show, return, fmap, otherwise, filter, not) +import Prelude (IO, Maybe(Just, Nothing), String, Bool(True, False), ($), (<>), (>), (.), (-), (==), null, max, maximum, show, return, fmap, otherwise, filter, not) import Control.Applicative ((<|>)) -import Snap.Core (Snap, route, writeBS, method, Method(GET), modifyResponse, setContentType, setTimeout, getRequest, rqParam) +import Snap.Core (Snap, route, writeText, writeBS, method, Method(GET), modifyResponse, setContentType, setTimeout, getRequest, rqParam) import Snap.Http.Server (quickHttpServe) import Snap.Util.GZip (withCompression) --- Our Extended OpenScad interpreter, and the extrudeR function for making 2D objects 3D. -import Graphics.Implicit (runOpenscad, extrudeR) +-- Our Extended OpenScad interpreter, and the extrude function for making 2D objects 3D. +import Graphics.Implicit (runOpenscad, extrude, unionR) -- Variable access functionality, so we can look up a requested resolution, along with message processing, and options into the scad engine. -import Graphics.Implicit.ExtOpenScad.Definitions (OVal(ONum), VarLookup, lookupVarIn, Message, Message(Message), MessageType(TextOut), ScadOpts(ScadOpts)) +import Graphics.Implicit.ExtOpenScad.Definitions (VarLookup, Message, Message(Message), MessageType(TextOut), ScadOpts(ScadOpts)) --- Functions for finding a box around an object, so we can define the area we need to raytrace inside of. -import Graphics.Implicit.ObjectUtil (getBox2, getBox3) +-- determine the size of boxes, so we can automagically create a resolution. +import Graphics.Implicit.Primitives (Object(getBox)) -- Definitions of the datatypes used for 2D objects, 3D objects, and for defining the resolution to raytrace at. -import Graphics.Implicit.Definitions (SymbolicObj2(UnionR2), SymbolicObj3(UnionR3), ℝ, Polyline, TriangleMesh) +import Graphics.Implicit.Definitions (ℝ, Polyline, TriangleMesh, NormedTriangleMesh, SymbolicObj2, SymbolicObj3) -- Use default values when a Maybe is Nothing. -import Data.Maybe (fromMaybe, maybe) +import Data.Maybe (fromMaybe, maybe, fromJust) import Graphics.Implicit.Export.TriangleMeshFormats (jsTHREE, stl) ---import Graphics.Implicit.Export.NormedTriangleMeshFormats (obj) +import qualified Graphics.Implicit.Export.NormedTriangleMeshFormats as NTM (obj) import Graphics.Implicit.Export.PolylineFormats (svg, dxf2, hacklabLaserGCode) --- Operator to subtract two points. Used when defining the resolution of a 2d object. -import Data.AffineSpace ((.-.)) - -- class DiscreteApprox import Graphics.Implicit.Export.DiscreteAproxable (discreteAprox) -import Data.Text.Lazy (Text) +import Graphics.Implicit.Export.Resolution (estimateResolution) import Data.List (intercalate) -import Data.String (IsString) - import System.IO.Unsafe (unsafePerformIO) -import qualified Data.ByteString.Char8 as BS.Char (pack, unpack) -import qualified Data.Text.Lazy as TL (unpack) +import Data.ByteString.Char8 (unpack) +import Data.ByteString.UTF8 (fromString) +import Data.ByteString (ByteString) +import Data.ByteString.Lazy as BSL (toStrict) +import Data.Text (Text, pack) +import Data.Text.Lazy as TL (toStrict) +import Data.Text.Encoding (encodeUtf8) +import Data.Aeson (encode) +-- To construct vectors of ℝs. +import Linear (V2(V2), V3(V3)) + -- | The entry point. uses snap to serve a website. main :: IO () main = quickHttpServe site @@ -66,7 +70,7 @@ site = route [ ("render/", renderHandler) - ] <|> writeBS "fall through" + ] <|> writeText "fall through" -- | Our render/ handler. Uses source, callback, and opitional format to render an object. renderHandler :: Snap () @@ -76,63 +80,55 @@ request <- getRequest case (rqParam "source" request, rqParam "callback" request, rqParam "format" request) of (Just [source], Just [callback], Nothing) -> - writeBS . BS.Char.pack $ executeAndExport - (BS.Char.unpack source) - (BS.Char.unpack callback) + writeBS $ executeAndExport + (unpack source) + callback Nothing (Just [source], Just [callback], Just [format]) -> - writeBS . BS.Char.pack $ executeAndExport - (BS.Char.unpack source) - (BS.Char.unpack callback) - (Just $ BS.Char.unpack format) - (_, _, _) -> writeBS "must provide source and callback as 1 GET variable each" - --- | Find the resolution to raytrace at. -getRes :: (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) -> ℝ --- | If specified, use a resolution specified by the "$res" a variable in the input file. -getRes (lookupVarIn "$res" -> Just (ONum res), _, _, _) = res --- | If there was no resolution specified, use a resolution chosen for 3D objects. --- FIXME: magic numbers. -getRes (vars, _, obj:objs, _) = - let - ((x1,y1,z1),(x2,y2,z2)) = getBox3 (UnionR3 0 (obj:objs)) - (x,y,z) = (x2-x1, y2-y1, z2-z1) - in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of - ONum qual | qual > 0 -> min (minimum [x,y,z]/2) ((x*y*z/qual)**(1/3) / 22) - _ -> min (minimum [x,y,z]/2) ((x*y*z)**(1/3) / 22) --- | ... Or use a resolution chosen for 2D objects. --- FIXME: magic numbers. -getRes (vars, obj:objs, _, _) = - let - (p1,p2) = getBox2 (UnionR2 0 (obj:objs)) - (x,y) = p2 .-. p1 - in case fromMaybe (ONum 1) $ lookupVarIn "$quality" vars of - ONum qual | qual > 0 -> min (min x y/2) (sqrt(x*y/qual) / 30) - _ -> min (min x y/2) (sqrt(x*y) / 30) --- | fallthrough value. -getRes _ = 1 + writeBS $ executeAndExport + (unpack source) + callback + (Just format) + (_, _, _) -> writeText "must provide source and callback as 1 GET variable each" -- | get the maximum dimension of the object being rendered. -- FIXME: shouldn't this get the diagonal across the box? getWidth :: (VarLookup, [SymbolicObj2], [SymbolicObj3], [Message]) -> ℝ getWidth (_, _, obj:objs, _) = maximum [x2-x1, y2-y1, z2-z1] - where ((x1,y1,z1),(x2,y2,z2)) = getBox3 $ UnionR3 0 (obj:objs) + where (V3 x1 y1 z1, V3 x2 y2 z2) = getBox $ unionR 0 (obj:objs) getWidth (_, obj:objs, _, _) = max (x2-x1) (y2-y1) - where ((x1,y1),(x2,y2)) = getBox2 $ UnionR2 0 (obj:objs) + where (V2 x1 y1, V2 x2 y2) = getBox $ unionR 0 (obj:objs) getWidth (_, [], [], _) = 0 -getOutputHandler2 :: String -> ([Polyline] -> Text) +formatIs2D :: Maybe ByteString -> Bool +formatIs2D (Just "SVG") = True +formatIs2D (Just "gcode/hacklab-laser") = True +formatIs2D (Just "DXF") = True +formatIs2D _ = False + +getOutputHandler2 :: ByteString -> [Polyline] -> Text getOutputHandler2 name - | name == "SVG" = svg - | name == "gcode/hacklab-laser" = hacklabLaserGCode - | otherwise = dxf2 + | name == "SVG" = TL.toStrict . svg + | name == "gcode/hacklab-laser" = TL.toStrict . hacklabLaserGCode + | name == "DXF" = TL.toStrict . dxf2 + | otherwise = TL.toStrict . svg +formatIs3D :: Maybe ByteString -> Bool +formatIs3D (Just "STL") = True +formatIs3D (Just "OBJ") = True +formatIs3D _ = False + -- FIXME: OBJ support -getOutputHandler3 :: String -> (TriangleMesh -> Text) +getOutputHandler3 :: ByteString -> TriangleMesh -> Text getOutputHandler3 name - | name == "STL" = stl - | otherwise = jsTHREE + | name == "STL" = TL.toStrict . stl + | otherwise = TL.toStrict . jsTHREE +getNormedOutputHandler3 :: ByteString -> NormedTriangleMesh -> Text +getNormedOutputHandler3 name + | name == "OBJ" = TL.toStrict . NTM.obj + | otherwise = TL.toStrict . NTM.obj + isTextOut :: Message -> Bool isTextOut (Message TextOut _ _ ) = True isTextOut _ = False @@ -146,65 +142,72 @@ -- | Give an openscad object to run and the basename of -- the target to write to... write an object! -executeAndExport :: String -> String -> Maybe String -> String +executeAndExport :: String -> ByteString -> Maybe ByteString -> ByteString executeAndExport content callback maybeFormat = let - showB :: IsString t => Bool -> t + showB :: Bool -> ByteString showB True = "true" showB False = "false" - callbackF :: Bool -> Bool -> ℝ -> String -> String + showℝ :: ℝ -> ByteString + showℝ val = fromString $ show val + callbackF :: Bool -> Bool -> ℝ -> Text -> ByteString callbackF False is2D w msg = - callback <> "([null," <> show msg <> "," <> showB is2D <> "," <> show w <> "]);" + callback <> "([null," <> BSL.toStrict (encode msg) <> "," <> showB is2D <> "," <> showℝ w <> "]);" callbackF True is2D w msg = - callback <> "([new Shape()," <> show msg <> "," <> showB is2D <> "," <> show w <> "]);" - callbackS :: (Show a1, Show a) => a -> a1 -> String + callback <> "([new Shape()," <> BSL.toStrict (encode msg) <> "," <> showB is2D <> "," <> showℝ w <> "]);" + callbackS :: Text -> Text -> ByteString callbackS str msg = - callback <> "([" <> show str <> "," <> show msg <> ",null,null]);" + callback <> "([" <> BSL.toStrict (encode str) <> "," <> BSL.toStrict (encode msg) <> ",null,null]);" scadOptions = generateScadOpts openscadProgram = runOpenscad scadOptions [] content in unsafePerformIO $ do s@(_, obj2s, obj3s, messages) <- openscadProgram let - res = getRes s + res = estimateResolution s w = getWidth s - resError :: String - resError = "Unreasonable resolution requested: " - <> "the server imps revolt! " - <> "(Install ImplicitCAD locally -- github.com/colah/ImplicitCAD/)" + emptyObject :: Text + emptyObject = "Empty Object?" + <> " (No geometry generated -- whatever you did, the engine can make no sense of it)" render = res > 0 - scadMessages = intercalate "\n" + scadMessages = pack $ intercalate "\n" (fmap show (filter (not . isTextOut) messages) <> fmap show (filter isTextOut messages)) return $ case (obj2s, obj3s, render) of - (_ , _, False) -> callbackF False False 1 resError + (_ , _, False) -> callbackF False False 1 emptyObject ([], obj:objs, _ ) -> do let target = if null objs then obj - else UnionR3 0 (obj:objs) - unionWarning :: String + else unionR 0 (obj:objs) + unionWarning :: Text unionWarning = if null objs then "" else " \nWARNING: Multiple objects detected. Adding a Union around them." - output3d = TL.unpack $ maybe jsTHREE getOutputHandler3 maybeFormat $ discreteAprox res target + output3d :: Text + output3d = if fromMaybe "jsTHREE" maybeFormat == "OBJ" + then getNormedOutputHandler3 (fromJust maybeFormat) $ discreteAprox res target + else maybe (TL.toStrict . jsTHREE) getOutputHandler3 maybeFormat $ discreteAprox res target if fromMaybe "jsTHREE" maybeFormat == "jsTHREE" - then output3d <> callbackF True False w (scadMessages <> unionWarning) - else callbackS output3d (scadMessages <> unionWarning) + then encodeUtf8 output3d <> callbackF True False w (scadMessages <> unionWarning) + else if formatIs3D maybeFormat + then callbackS output3d (scadMessages <> unionWarning) + else callbackF False False 1 "Unable to render a 3D object into a 2D file." (obj:objs, [] , _) -> do let target = if null objs then obj - else UnionR2 0 (obj:objs) - unionWarning :: String + else unionR 0 (obj:objs) + unionWarning :: Text unionWarning = if null objs then "" else " \nWARNING: Multiple objects detected. Adding a Union around them." - output3d = TL.unpack $ maybe jsTHREE getOutputHandler3 maybeFormat $ discreteAprox res $ extrudeR 0 target res - output2d = TL.unpack $ maybe svg getOutputHandler2 maybeFormat $ discreteAprox res target + output3d = maybe (TL.toStrict . jsTHREE) getOutputHandler3 maybeFormat $ discreteAprox res $ extrude target res + output2d = maybe (TL.toStrict . svg) getOutputHandler2 maybeFormat $ discreteAprox res target if fromMaybe "jsTHREE" maybeFormat == "jsTHREE" - then output3d <> callbackF True True w (scadMessages <> unionWarning) - else callbackS output2d (scadMessages <> unionWarning) - ([], [] , _) -> callbackF False False 1 $ intercalate "\n" [scadMessages, "Nothing to render."] - _ -> callbackF False False 1 $ intercalate "\n" [scadMessages, "ERROR: File contains a mixture of 2D and 3D objects, what do you want to render?"] - + then encodeUtf8 output3d <> callbackF True True w (scadMessages <> unionWarning) + else if formatIs2D maybeFormat + then callbackS output2d (scadMessages <> unionWarning) + else callbackS output3d (scadMessages <> unionWarning) + ([], [] , _) -> callbackF False False 1 $ scadMessages <> "\n" <> "Nothing to render." + _ -> callbackF False False 1 $ scadMessages <> "\n" <> "ERROR: File contains a mixture of 2D and 3D objects, what do you want to render?" diff --git a/programs/parser-bench.hs b/programs/parser-bench.hs --- a/programs/parser-bench.hs +++ b/programs/parser-bench.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2016, Kelvin Cookshaw (kelvin@cookshaw.com) -- Copyright 2014-2019, Julia Longtin (julial@turinglace.com) diff --git a/shell.nix b/shell.nix new file mode 100644 --- /dev/null +++ b/shell.nix @@ -0,0 +1,2 @@ +{ pkgs ? import {}, withImplicitSnap ? true }: +(import ./default.nix { inherit pkgs withImplicitSnap; }).env diff --git a/stack.yaml b/stack.yaml new file mode 100644 --- /dev/null +++ b/stack.yaml @@ -0,0 +1,33 @@ +# For more information, see: https://github.com/commercialhaskell/stack/blob/master/doc/yaml_configuration.md + +# Specifies the GHC version and set of packages available (e.g., lts-3.5, nightly-2015-09-21, ghc-7.10.2) + +resolver: lts-16.25 + +# Local packages, usually specified by relative directory name +packages: +- '.' + +# Packages to be pulled from upstream that are not in the resolver (e.g., acme-missiles-0.3) +extra-deps: +- storable-endian-0.2.6@sha256:cae7aac2bfe6037660b2cf294891867e69bcd74e739a3b3ea759e9ad99d6c889,801 +- quickspec-2.1.5@sha256:1d1cc020fa9075cb5fafd4056fe1d930d5763b954fa8200e57ce6aba057544b2,3557 +- twee-lib-2.2@sha256:9fe9327505d8f450a94f2fc9eea74b292901b7992d520aa1dd4f0410fbe0e594,2112 + +# Override default flag values for local packages and extra-deps +flags: {} + +# Control whether we use the GHC we find on the path +# system-ghc: true + +# Require a specific version of stack, using version ranges +# require-stack-version: -any # Default +# require-stack-version: >= 0.1.4.0 + +# Override the architecture used by stack, especially useful on Windows +# arch: i386 +# arch: x86_64 + +# Extra directories used by stack for building +# extra-include-dirs: [/path/to/dir] +# extra-lib-dirs: [/path/to/dir] diff --git a/tests/ExecSpec/Expr.hs b/tests/ExecSpec/Expr.hs --- a/tests/ExecSpec/Expr.hs +++ b/tests/ExecSpec/Expr.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014-2017, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -14,15 +15,29 @@ import Graphics.Implicit.Definitions (ℝ) -- Our utility library, for making these tests easier to read. -import ExecSpec.Util ((-->), num) +import ExecSpec.Util ((-->), num, list, vect) -- Default all numbers in this file to being of the type ImplicitCAD uses for values. default (ℝ) exprExec :: Spec exprExec = - describe "arithmatic" $ do + describe "arithmetic" $ do it "performs simple addition" $ "1+1" --> num 2 - it "performs multiple addition" $ + it "performs multiple additions" $ "1+1+1" --> num 3 + it "performs sum on numbers" $ + "sum(1,1)" --> num 2 + it "performs sum on list" $ + "sum([1,2,3])" --> num 6 + it "performs vector additions" $ + "[1, 2, 3] + [3, 4, 5]" --> vect [4, 6, 8] + it "performs nested vector additions" $ + "[1, [2, 3]] + [3, [4, 5]]" --> list [num 4, vect [6, 8]] + it "performs vector substraction" $ + "[1, 2, 3] - [1, 1, 1]" --> vect [0, 1, 2] + it "performs number and list/vector addition" $ + "2 + [1, 2]" --> vect [3, 4] + it "performs number and list/vector multiplication" $ + "2 * [3, 4, 5]" --> vect [6, 8, 10] diff --git a/tests/ExecSpec/Util.hs b/tests/ExecSpec/Util.hs --- a/tests/ExecSpec/Util.hs +++ b/tests/ExecSpec/Util.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) @@ -7,17 +8,18 @@ module ExecSpec.Util ( (-->) , num + , list + , vect ) where -- be explicit about where we get things from. -import Prelude (String) +import Prelude (String, Bool(False), map, (.)) -- The datatype of positions in our world. import Graphics.Implicit.Definitions (ℝ) -- Expressions, symbols, and values in the OpenScad language. -import Graphics.Implicit.ExtOpenScad.Definitions (OVal(ONum)) - +import Graphics.Implicit.ExtOpenScad.Definitions (OVal(ONum, OList)) import Graphics.Implicit.ExtOpenScad.Eval.Constant (runExpr) @@ -27,9 +29,15 @@ infixr 1 --> (-->) :: String -> OVal -> Expectation (-->) source value = - runExpr source `shouldBe` (value, []) + runExpr source False `shouldBe` (value, []) --- | Types +-- Types num :: ℝ -> OVal num = ONum + +list :: [OVal] -> OVal +list = OList + +vect :: [ℝ] -> OVal +vect = list . map num diff --git a/tests/GoldenSpec/Spec.hs b/tests/GoldenSpec/Spec.hs new file mode 100644 --- /dev/null +++ b/tests/GoldenSpec/Spec.hs @@ -0,0 +1,165 @@ +{- ORMOLU_DISABLE -} +{-# OPTIONS_GHC -fno-warn-missing-import-lists #-} +{-# OPTIONS_GHC -fno-warn-type-defaults #-} + +module GoldenSpec.Spec (spec) where + +import GoldenSpec.Util (golden, goldenAllFormats) +import Graphics.Implicit +import Prelude +import Test.Hspec ( describe, Spec ) + +default (Int) + +spec :: Spec +spec = describe "golden tests" $ do + golden "box" 1 $ + cube True (V3 5 5 5) + + goldenAllFormats "boxCylinder" 1 $ + union + [ cube False (V3 5 5 5) + , translate (V3 2.5 2.5 5) $ cylinder2 2 1 3 + ] + + golden "example13" 1 $ + union [ rect3 (V3 0 0 0) (V3 20 20 20) + , translate (V3 20 20 20) (sphere 15) + ] + + golden "example16" 1 $ + implicit + (\(V3 x y z) -> x^4 + y^4 + z^4 - 15000) + ( V3 (-20) (-20) (-20) ,V3 20 20 20) + + golden "example17" 1 $ + let + squarePipe :: ℝ3 -> ℝ -> ℝ -> SymbolicObj3 + squarePipe (V3 x y z) diameter precision = + union + ((\(a, b, c) -> translate (V3 a b c) + $ rect3 (V3 0 0 0) (V3 diameter diameter diameter) + ) + <$> + zip3 (fmap (\n->(fromIntegral n/precision)*x) [0..100]) + (fmap (\n->(fromIntegral n/precision)*y) [0..100]) + (fmap (\n->(fromIntegral n/precision)*z) [0..100])) + in squarePipe (V3 10 10 10) 1 100 + + golden "wheel-well" 1 $ + differenceR 0.0 + (translate (V3 6.0 (-0.0) (-44.5)) + (unionR 0.0 + [ translate (V3 (-17.0) 0.0 0.0) + (translate (V3 0.0 0.0 38.0) + (rotate3 (V3 0 (pi / 2) 0) + (translate (V3 3.0 (-0.0) (-17.0)) + (unionR 0.0 + [ translate (V3 0.0 0.0 (-0.0)) + (intersectR 0.0 + [ shell 2.0 + (outset 5.0 + (cylinder 35.0 28.0)) + , cylinder 50.0 28.0 + , translate (V3 11.0 0.0 0.0) + (translate (V3 (-50.0) 0.0 0.0) + (translate (V3 0.0 0.0 14.0) + (translate (V3 (-50.0) (-50.0) (-14.0)) + (cube False (V3 100.0 100.0 28.0))))) + ]) + ])))) + , translate (V3 (-2.0) 0.0 0.0) + (translate (V3 12.0 0.0 0.0) + (translate (V3 0.0 0.0 24.0) + (translate (V3 0.0 0.0 (-0.0)) + (unionR 0.0 + [ intersectR 0.0 + [ translate (V3 0.0 0.0 31.5) + (shell 2.0 + (scale (V3 1.1578947368421053 1.1363636363636365 1.0307692307692307) + (translate (V3 (-9.5) (-11.0) (-32.5)) + (cube False (V3 19.0 22.0 65.0))))) + , translate (V3 (-12.0) (-13.500000000000002) 0.0) + (cube False (V3 24.0 27.0 2.0)) + ] + ])))) + ])) + [ translate (V3 6.0 (-0.0) (-44.5)) + (unionR 0.0 + [ translate (V3 (-17.0) 0.0 0.0) + (translate (V3 0.0 0.0 38.0) + (rotate3 (V3 0 (pi / 2) 0) + (translate (V3 3.0 (-0.0) (-17.0)) + (unionR 0.0 + [ translate (V3 0.0 0.0 0.0) + (translate (V3 0.0 0.0 17.0) + (translate (V3 (-0.0) (-0.0) 11.0) + (unionR 0.0 + [ translate (V3 0.0 0.0 (-0.0)) + (cylinder 3.0 6.0) + , translate (V3 0.0 0.0 0.0) + (translate (V3 0.0 0.0 (-28.0)) + (cylinder 35.0 28.0)) + ]))) + ])))) + , translate (V3 (-2.0) 0.0 0.0) + (translate (V3 12.0 0.0 0.0) + (translate (V3 0.0 0.0 24.0) + (translate (V3 0.0 0.0 (-0.0)) + (translate (V3 0.0 0.0 32.5) + (translate (V3 (-9.5) (-11.0) (-32.5)) + (cube False (V3 19.0 22.0 65.0))))))) + ]) + ] + + -- These tests were generated by the Arbitrary instance + golden "arbitrary1" 1 $ + cylinder 16.76324 21.02933 + + golden "arbitrary2" 1 $ + translate (V3 24.07554 26.31483 24.96913) + . scale (V3 3.6096 4.9768 2.9848) + . translate (V3 (-1.2054) (-0.4034) (-0.725975)) + $ withRounding 0.45186 $ cube False (V3 2.41095 0.8068 1.45195) + + golden "arbitrary3" 1 $ + differenceR 1.8 (sphere 4.6) + [ rotate3 (V3 (-0.3) 0.4 0.36) + $ scale (V3 1 1.3 1.4) + $ cylinder2 0.6 0.74 1 + , sphere 1.2 + , rotate3 (V3 0.54 (-0.45) (-0.58)) + $ withRounding 1.4 + $ cube True (V3 1.5 1.81 1.82) + , cylinder2 1.7 1.5 3.5 + , sphere 1.54 + ] + + golden "arbitrary4" 1 $ + unionR 1.8 + [ sphere 4.6 + , rotate3 (V3 (-0.3) 0.4 0.36) + $ scale (V3 1 1.3 1.4) + $ cylinder2 0.6 0.74 1 + , sphere 1.2 + , rotate3 (V3 0.54 (-0.45) (-0.58)) + $ withRounding 1.4 + $ cube True (V3 1.5 1.81 1.82) + , cylinder2 1.7 1.5 3.5 + , sphere 1.54 + ] + + golden "hook" 2 $ + union + [ translate (V3 0 60 0) $ + rotateExtrude (3 * pi / 2) (Left 0) (Left 0) $ + translate (V2 40 0) $ + circle 10 + , rotateExtrude (pi / 2) (Left 0) (Left 0) $ + translate (V2 20 0) $ + circle 10 + , translate (V3 20 0 0) $ + rotate3 (V3 (pi / 2) 0 0) $ + cylinder 10 80 + ] + diff --git a/tests/GoldenSpec/Util.hs b/tests/GoldenSpec/Util.hs new file mode 100644 --- /dev/null +++ b/tests/GoldenSpec/Util.hs @@ -0,0 +1,74 @@ +{- ORMOLU_DISABLE -} +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE LambdaCase #-} + +module GoldenSpec.Util (golden, goldenAllFormats, goldenFormat) where + +import Control.Monad (forM_) +import Control.Monad.IO.Class (liftIO) +import Graphics.Implicit (SymbolicObj3) +import Graphics.Implicit.Export (export3) +import Graphics.Implicit.Export.OutputFormat (OutputFormat (ASCIISTL), formats3D, formatExtension) +import Prelude (IO, FilePath, Bool (True, False), String, Double, pure, (==), (>>=), (<>), ($), show) +import System.Directory (getTemporaryDirectory, doesFileExist) +import System.IO (hClose, openTempFile) +import Test.Hspec (describe, it, shouldBe, SpecWith) +import Data.ByteString (readFile, writeFile) + +-- | Construct a golden test for rendering the given 'SymbolicObj3' at the +-- specified resolution in ASCIISTL format. +golden :: String -> Double -> SymbolicObj3 -> SpecWith () +golden = goldenFormat ASCIISTL + +-- | Construct a golden test for rendering the given 'SymbolicObj3' at the +-- specified resolution in all 3D formats. +goldenAllFormats :: String -> Double -> SymbolicObj3 -> SpecWith () +goldenAllFormats name resolution sym = do + describe ("golden " <> name) + $ forM_ formats3D + $ \fmt -> goldenFormat fmt name resolution sym + +-- | Construct a golden test for rendering the given 'SymbolicObj3' at the +-- specified resolution. On the first run of this test, it will render the +-- object and cache the results. Subsequent test runs will compare their result +-- to the cached one. This is valuable for ensuring mesh generation doesn't +-- break across commits. +-- +-- The objects are cached under @tests/golden/@, with the given name. Deleting +-- this file is sufficient to update the test if changes in the mesh generation +-- are intended. +goldenFormat :: OutputFormat -> String -> Double -> SymbolicObj3 -> SpecWith () +goldenFormat fmt name resolution sym = it (name <> " (golden, format: " <> show fmt <> ")") $ do + (res, cached) <- liftIO $ do + temp_fp <- getTemporaryFilePath "golden" + -- Output the rendered mesh + export3 fmt resolution temp_fp sym + !res <- readFile temp_fp + let golden_fp = "./tests/golden/" <> name <> "." <> formatExtension fmt + -- Check if the cached results already exist. + doesFileExist golden_fp >>= \case + True -> pure () + -- If not, save the mesh we just created in the cache. + False -> writeFile golden_fp res + !cached <- readFile golden_fp + pure (res, cached) + -- Finally, ceck if the two meshes are equal. + if res == cached + then pure () + else False `shouldBe` True + +------------------------------------------------------------------------------ +-- | Get a temporary filepath with the desired extension. On unix systems, this +-- is a file under @/tmp@. Useful for tests that need to write files. +getTemporaryFilePath + :: String -- ^ File extension + -> IO FilePath +getTemporaryFilePath ext = do + tempdir <- getTemporaryDirectory + -- The only means available to us for getting a temporary filename also opens + -- its file handle. Because the 'writeSTL' function opens the file handle + -- itself, we must first close our handle. + (fp, h) <- openTempFile tempdir "implicit-golden" + hClose h + pure $ fp <> "." <> ext + diff --git a/tests/Graphics/Implicit/Test/Instances.hs b/tests/Graphics/Implicit/Test/Instances.hs new file mode 100644 --- /dev/null +++ b/tests/Graphics/Implicit/Test/Instances.hs @@ -0,0 +1,215 @@ +{- ORMOLU_DISABLE -} +-- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) +-- Copyright (C) 2014 2015 2016, Julia Longtin (julia.longtin@gmail.com) +-- Released under the GNU AGPLV3+, see LICENSE + +{-# LANGUAGE FlexibleInstances #-} +{-# LANGUAGE FunctionalDependencies #-} +{-# LANGUAGE MultiParamTypeClasses #-} +{-# LANGUAGE UndecidableInstances #-} +{-# LANGUAGE DefaultSignatures #-} +{-# LANGUAGE GADTs #-} + +{-# OPTIONS_GHC -fno-warn-orphans #-} + +module Graphics.Implicit.Test.Instances (Observe, observe, (=~=)) where + +import Prelude (abs, fmap, Bounded, Double, Enum, Show, Ord, Eq, (==), pure, Int, Double, (.), ($), (<), div, (<*>), (<$>), (+), (<>), (<=)) + +import Graphics.Implicit + ( square, + emptySpace, + fullSpace, + sphere, + cube, + cylinder2, + cylinder, + circle, + polygon, + extrude, + rotate3, + rotate3V, + transform3, + rotate, + transform ) + +import Graphics.Implicit.Definitions + ( ExtrudeMScale(C1,C2,Fn), + SymbolicObj2(Shared2), + SymbolicObj3(Shared3), + ℝ, + ℝ2, + ℝ3, + SharedObj(Outset, Translate, Scale, UnionR, IntersectR, + DifferenceR, Shell, WithRounding) ) + +import Graphics.Implicit.Primitives ( getImplicit ) + +import qualified Test.QuickCheck +import Test.QuickCheck + (CoArbitrary(coarbitrary), discard, Arbitrary(arbitrary, shrink), + genericShrink, + choose, + oneof, + scale, + sized, + vectorOf, + Gen, + Positive(getPositive), + Property) + +import Linear (V2(V2), V3(V3), V4(V4), Quaternion, axisAngle) + +data Insidedness = Inside | Outside | Surface + deriving (Eq, Ord, Show, Enum, Bounded) + +insidedness :: Double -> Insidedness +insidedness 0 = Surface +insidedness x = if x < 0 then Inside else Outside + +------------------------------------------------------------------------------ +instance Arbitrary SymbolicObj2 where + shrink = genericShrink + arbitrary = sized $ \n -> + if n <= 1 + then oneof small + else oneof $ + [ rotate <$> arbitrary <*> decayArbitrary 2 + , transform <$> arbitrary <*> decayArbitrary 2 + , Shared2 <$> arbitrary + ] <> small + where + small = + [ circle <$> arbitrary + , square <$> arbitrary <*> arbitrary + , polygon <$> do + n <- choose (3, 10) + vectorOf n arbitrary + , pure fullSpace + , pure emptySpace + ] + +-- TODO(sandy): Also generate all of the extrusion variants. +instance Arbitrary SymbolicObj3 where + shrink = genericShrink + arbitrary = sized $ \n -> + if n <= 1 + then oneof small + else oneof $ + [ rotate3 <$> arbitrary <*> decayArbitrary 2 + , rotate3V <$> arbitrary <*> arbitrary <*> decayArbitrary 2 + , transform3 <$> arbitrary <*> decayArbitrary 2 + , extrude <$> decayArbitrary 2 <*> arbitraryPos + , Shared3 <$> arbitrary + ] <> small + where + small = + [ sphere <$> arbitraryPos + , cylinder <$> arbitraryPos <*> arbitraryPos + , cylinder2 <$> arbitraryPos <*> arbitraryPos <*> arbitraryPos + , cube <$> arbitrary <*> arbitraryV3 + , pure fullSpace + , pure emptySpace + ] + +instance (Arbitrary obj, Arbitrary a, Arbitrary (f a), CoArbitrary (f a)) => Arbitrary (SharedObj obj f a) where + shrink = genericShrink + arbitrary = oneof + [ Translate <$> arbitrary <*> decayArbitrary 2 + , Scale <$> arbitrary <*> decayArbitrary 2 + , UnionR <$> arbitraryPos <*> decayedList + , IntersectR <$> arbitraryPos <*> decayedList + , DifferenceR <$> arbitraryPos <*> decayArbitrary 2 <*> decayedList + , Shell <$> arbitraryPos <*> decayArbitrary 2 + , Outset <$> arbitraryPos <*> decayArbitrary 2 + , WithRounding <$> arbitraryPos <*> decayArbitrary 2 + ] + +instance Arbitrary a => Arbitrary (V2 a) where + shrink = genericShrink + arbitrary = V2 <$> arbitrary <*> arbitrary + +instance Arbitrary a => Arbitrary (V3 a) where + shrink = genericShrink + arbitrary = V3 <$> arbitrary <*> arbitrary <*> arbitrary + +instance Arbitrary a => Arbitrary (V4 a) where + shrink = genericShrink + arbitrary = V4 <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary + +instance CoArbitrary a => CoArbitrary (V2 a) where + coarbitrary (V2 a b) = coarbitrary (a, b) + +instance CoArbitrary a => CoArbitrary (V3 a) where + coarbitrary (V3 a b c) = coarbitrary (a, b, c) + +instance CoArbitrary a => CoArbitrary (V4 a) where + coarbitrary (V4 a b c d) = coarbitrary (a, b, c, d) + +instance Arbitrary ExtrudeMScale where + shrink = genericShrink + arbitrary = oneof + [ C1 <$> arbitrary + , C2 <$> arbitrary + , Fn <$> arbitrary + ] + +instance Arbitrary (Quaternion ℝ) where + arbitrary = do + q <- arbitrary + v <- arbitraryV3 + if v == 0.0 + then discard + else pure $ axisAngle v q + +------------------------------------------------------------------------------ +-- Minimum of quickspec(s) Observe class and instances required for implicit testsuite +-- BSD3 Copyright: 2009-2019 Nick Smallbone +class (Arbitrary test, Ord outcome) => Observe test outcome a | a -> test outcome where + -- | Make an observation on a value. Should satisfy the following law: if + -- @x /= y@, then there exists a value of @test@ such that @observe test x /= observe test y@. + observe :: test -> a -> outcome + + default observe :: (outcome ~ a) => test -> a -> outcome + observe _ x = x + +instance (Arbitrary a, Observe test outcome b) => Observe (a, test) outcome (a -> b) where + observe (x, obs) f = observe obs (f x) + +instance Observe () Double Double + +(=~=) :: (Show test, Show outcome, Observe test outcome a) => a -> a -> Property +a =~= b = Test.QuickCheck.property $ \test -> observe test a Test.QuickCheck.=== observe test b +infix 4 =~= + +------------------------------------------------------------------------------ +-- | Two 'SymbolicObj2's are the same if their 'getImplicit' functions agree at +-- all points (up to an error term of 'epsilon') +instance Observe (ℝ2, ()) Insidedness SymbolicObj2 where + observe p = insidedness . observe p . getImplicit + +------------------------------------------------------------------------------ +-- | Two 'SymbolicObj3's are the same if their 'getImplicit' functions agree at +-- all points (up to an error term of 'epsilon') +instance Observe (ℝ3, ()) Insidedness SymbolicObj3 where + observe p = insidedness . observe p . getImplicit + +-- | Generate a small list of 'Arbitrary' elements, splitting the current +-- complexity budget between all of them. +decayedList :: Arbitrary a => Gen [a] +decayedList = do + n <- choose (1, 10) + vectorOf n $ decayArbitrary $ n + 1 + +-- | Generate an arbitrary positive 'Double'. Useful for sizes. +arbitraryPos :: Gen Double +arbitraryPos = getPositive <$> arbitrary + +-- | Generate an arbitrary positive 'ℝ3'. Useful for sizes. +arbitraryV3 :: Gen ℝ3 +arbitraryV3 = fmap abs <$> arbitrary + +-- | Split the complexity budget by a factor of @n@. +decayArbitrary :: Arbitrary a => Int -> Gen a +decayArbitrary n = scale (`div` n) arbitrary + diff --git a/tests/Graphics/Implicit/Test/Utils.hs b/tests/Graphics/Implicit/Test/Utils.hs new file mode 100644 --- /dev/null +++ b/tests/Graphics/Implicit/Test/Utils.hs @@ -0,0 +1,13 @@ +{- ORMOLU_DISABLE -} +module Graphics.Implicit.Test.Utils (randomGroups) where + +import Prelude (drop, (<*>), (<$>), take, length, pure) +import Test.QuickCheck ( choose, Gen ) + +randomGroups :: [a] -> Gen [[a]] +randomGroups [] = pure [] +randomGroups as = do + n <- choose (1, length as) + (:) <$> pure (take n as) + <*> randomGroups (drop n as) + diff --git a/tests/ImplicitSpec.hs b/tests/ImplicitSpec.hs new file mode 100644 --- /dev/null +++ b/tests/ImplicitSpec.hs @@ -0,0 +1,340 @@ +{- ORMOLU_DISABLE -} +{-# LANGUAGE ExplicitNamespaces #-} +{-# LANGUAGE AllowAmbiguousTypes #-} +{-# LANGUAGE ConstraintKinds #-} +{-# LANGUAGE GADTs #-} +{-# LANGUAGE ScopedTypeVariables #-} +{-# LANGUAGE TypeApplications #-} + +module ImplicitSpec (spec) where + +import Prelude (Fractional, fmap, pure, negate, (+), Show, Monoid, mempty, (*), (/), (<>), (-), (/=), ($), (.), pi, id) +import Test.Hspec (describe, Spec) +import Graphics.Implicit + ( difference, + rotate, + transform, + rotate3, + rotate3V, + transform3, + union, + SymbolicObj2, + SymbolicObj3, + scale, + emptySpace, + fullSpace, + complement, + differenceR, + translate, + withRounding, + Object ) +import Graphics.Implicit.Primitives (rotateQ) +import Test.QuickCheck (Arbitrary(arbitrary), suchThat, forAll) +import Data.Foldable ( for_ ) +import Test.Hspec.QuickCheck (prop) +import Linear (V2(V2), V3(V3), V4(V4), (^*)) +import qualified Linear +import Graphics.Implicit (unionR) +import Graphics.Implicit (intersectR) +import Graphics.Implicit (extrude) +import Graphics.Implicit (cylinder2) +import Graphics.Implicit (mirror) +import Graphics.Implicit.Test.Instances (Observe, (=~=)) + +------------------------------------------------------------------------------ +-- Tests showing equivalencies between algebraic formulations of symbolic +-- objects, in both 2d and 3d. Equality is observational, based on random +-- sampling of the underlying 'getImplicit' function. +spec :: Spec +spec = do + describe "symbolic obj 2" $ do + idempotenceSpec @SymbolicObj2 + identitySpec @SymbolicObj2 + homomorphismSpec @SymbolicObj2 + monoidSpec @SymbolicObj2 + inverseSpec @SymbolicObj2 + annihilationSpec @SymbolicObj2 + rotation2dSpec + transform2dSpec + + describe "symbolic obj 3" $ do + idempotenceSpec @SymbolicObj3 + identitySpec @SymbolicObj3 + homomorphismSpec @SymbolicObj3 + monoidSpec @SymbolicObj3 + inverseSpec @SymbolicObj3 + annihilationSpec @SymbolicObj3 + rotation3dSpec + transform3dSpec + misc3dSpec + +------------------------------------------------------------------------------ +-- All the constraints we need in scope to parameterize tests by both 2d and +-- 3d symbolic objects. +type TestInfrastructure obj f a test outcome = + ( Object obj f a + , Observe test outcome obj + , Monoid obj + , Show outcome + , Show test + , Show obj + , Show (f a) + , Arbitrary obj + , Arbitrary (f a) + , Fractional (f a) + ) + +------------------------------------------------------------------------------ +-- Tests proving that symbolic objects form a monoid. +monoidSpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +monoidSpec = describe "monoid laws" $ do + prop "a <> mempty = a" $ \obj -> + obj =~= obj <> mempty @obj + + prop "mempty <> a = a" $ \obj -> + obj =~= mempty @obj <> obj + + prop "(a <> b) <> c = a <> (b <> c)" $ \a b (c :: obj) -> + (a <> b) <> c =~= a <> (b <> c) + +------------------------------------------------------------------------------ +-- Tests showing that 'translate' is a no-op for both 'emptySpace' and +-- 'fullSpace'. Additionally, that 'scale' is a no-op on 'emptySpace' (but not +-- for 'fullSpace', because scaling by 0 is instead 'emptySpace'). +idempotenceSpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +idempotenceSpec = describe "idempotence" $ do + for_ [("empty", emptySpace @obj), ("full", fullSpace)] $ \(name, obj) -> + describe name $ do + prop "idempotent wrt translate" $ \xyz -> + translate xyz obj + =~= obj + + prop "empty idempotent wrt scale" $ \xyz -> + scale xyz emptySpace + =~= emptySpace @obj + + prop "withRounding always takes the last value idempotent" $ \r r' -> + withRounding r . withRounding r' + =~= withRounding @obj r' + +------------------------------------------------------------------------------ +-- Proofs of the invertability of operations. +inverseSpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +inverseSpec = describe "inverses" $ do + prop "complement inverse" $ + complement @obj . complement + =~= id + + prop "translate inverse" $ \xyz -> + translate @obj xyz . translate (negate xyz) + =~= id + + prop "scale inverse" $ + forAll (arbitrary `suchThat` (/= 0)) $ \xyz -> + scale @obj xyz . scale (1 / xyz) + =~= id + +------------------------------------------------------------------------------ +-- Proofs that 'fullSpace' is an annhilative element with respect to union. +annihilationSpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +annihilationSpec = describe "annihilation" $ do + prop "full <> obj = full" $ \obj -> + fullSpace <> obj + =~= fullSpace @obj + prop "obj <> full = full" $ \obj -> + obj <> fullSpace + =~= fullSpace @obj + +------------------------------------------------------------------------------ +-- Misc proofs regarding 2d rotation. +rotation2dSpec :: Spec +rotation2dSpec = describe "2d rotation" $ do + prop "360 degrees is id" $ + rotate (2 * pi) + =~= id + + prop "(x + y = 360) degrees is id" $ \rads -> do + rotate (2 * pi - rads) . rotate rads + =~= id + + prop "rotate" $ \rads1 rads2 -> + rotate rads1 . rotate rads2 + =~= rotate (rads1 + rads2) + + prop "full idempotent wrt rotate" $ \rads -> + rotate rads fullSpace + =~= fullSpace + + prop "empty idempotent wrt rotate" $ \rads -> + rotate rads emptySpace + =~= emptySpace + +------------------------------------------------------------------------------ +-- Misc proofs regarding 3d transformation. +transform2dSpec :: Spec +transform2dSpec = describe "2d transform" $ do + prop "identity" $ + transform Linear.identity + =~= id + + prop "same as translation" $ \tr@(V2 x y) -> + transform + (V3 + (V3 1 0 x) + (V3 0 1 y) + (V3 0 0 1) + ) + =~= translate tr + +------------------------------------------------------------------------------ +-- Misc proofs regarding 3d rotation. +rotation3dSpec :: Spec +rotation3dSpec = describe "3d rotation" $ do + for_ [ ("YZ", V3 1 0 0) + , ("XZ", V3 0 1 0) + , ("XY", V3 0 0 1) + ] $ \(axis, vec) -> do + describe ("rotation in the " <> axis <> " plane") $ do + prop "360 degrees is id" $ + rotate3 (vec ^* (2 * pi)) + =~= id + prop "(x + y = 360) degrees is id" $ \rads -> + rotate3 (vec ^* (2 * pi - rads)) . rotate3 (vec ^* rads) + =~= id + + prop "360 degrees is id" $ + forAll (arbitrary `suchThat` (/= pure 0)) $ \vec -> + rotate3V (2 * pi) vec + =~= id + prop "(x + y = 360) degrees is id" $ \rads -> do + forAll (arbitrary `suchThat` (/= pure 0)) $ \vec -> + rotate3V (2 * pi - rads) vec . rotate3V rads vec + =~= id + + prop "rotate" $ \q1 q2 -> + rotateQ q2 . rotateQ q1 + =~= rotateQ (q2 * q1) + + prop "full idempotent wrt rotate" $ \xyz -> + rotate3 xyz fullSpace + =~= fullSpace + + prop "empty idempotent wrt rotate" $ \xyz -> + rotate3 xyz emptySpace + =~= emptySpace + +------------------------------------------------------------------------------ +-- Misc proofs regarding 3d transformation. +transform3dSpec :: Spec +transform3dSpec = describe "3d transform" $ do + prop "identity" $ + transform3 Linear.identity + =~= id + + prop "same as rotation and translation" $ \quat tr -> + transform3 (Linear.mkTransformation quat tr) + =~= translate tr . rotateQ quat + + prop "scale" + $ forAll (arbitrary `suchThat` (/= 0)) $ \s@(V3 x y z) -> + transform3 + (V4 (V4 x 0 0 0) + (V4 0 y 0 0) + (V4 0 0 z 0) + (V4 0 0 0 1) + ) + =~= scale s + + prop "mirror" $ + transform3 + -- mirroring about Y plane + (V4 (V4 (-1) 0 0 0) + (V4 0 1 0 0) + (V4 0 0 1 0) + (V4 0 0 0 1) + ) + =~= mirror (V3 1 0 0) + +------------------------------------------------------------------------------ +-- Misc tests that make sense only in 3d +misc3dSpec :: Spec +misc3dSpec = describe "misc 3d tests" $ do + prop "object-rounding value doesn't jump from 3d to 2d" $ \r obj -> + withRounding r . extrude obj + =~= withRounding r . extrude (withRounding 0 obj) + + prop "cylinder with negative height is a flipped cylinder with positive height" $ \r1 r2 h -> + cylinder2 r1 r2 h =~= mirror (V3 0 0 1) (cylinder2 r1 r2 (-h)) + + prop "negative scale in X is mirror about Y plane" $ + scale @SymbolicObj3 (V3 (-1) 1 1) =~= mirror (V3 1 0 0) + +------------------------------------------------------------------------------ +-- Misc identity proofs that should hold for all symbolic objects. +identitySpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +identitySpec = describe "identity" $ do + prop "complement empty" $ + complement @obj emptySpace + =~= fullSpace + + prop "complement full" $ + complement @obj fullSpace + =~= emptySpace + + prop "difference of empty" $ \r objs -> + differenceR @obj r emptySpace objs + =~= emptySpace + + prop "difference is complement" $ \objs -> + difference @obj fullSpace objs + =~= complement (union objs) + + prop "difference of obj" $ \r obj -> + differenceR @obj r obj [] + =~= obj + + prop "union [a] = a" $ \obj -> + union @obj [obj] =~= obj + +------------------------------------------------------------------------------ +-- Functions proving symbolic objects form homomorphisms with respect to +-- translate and scale. +homomorphismSpec + :: forall obj f a test outcome + . TestInfrastructure obj f a test outcome + => Spec +homomorphismSpec = describe "homomorphism" $ do + prop "translate" $ \xyz1 xyz2 -> + translate @obj xyz2 . translate xyz1 + =~= translate (xyz1 + xyz2) + + prop "scale" $ \xyz1 xyz2 -> + scale @obj xyz2 . scale xyz1 + =~= scale (xyz1 * xyz2) + + prop "withRounding/unionR" $ \r_obj r_combo -> + withRounding @obj r_obj . unionR r_combo + =~= unionR r_combo . fmap (withRounding r_obj) + + prop "withRounding/differenceR" $ \r_obj r_combo obj -> + withRounding @obj r_obj . differenceR r_combo obj + =~= differenceR r_combo (withRounding r_obj obj) . fmap (withRounding r_obj) + + prop "withRounding/intersectR" $ \r_obj r_combo -> + withRounding @obj r_obj . intersectR r_combo + =~= intersectR r_combo . fmap (withRounding r_obj) diff --git a/tests/Main.hs b/tests/Main.hs --- a/tests/Main.hs +++ b/tests/Main.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2018, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -20,8 +21,16 @@ -- the execution test for warnings. import MessageSpec.Message(programExec) +import PropertySpec (propSpec) + +import qualified GoldenSpec.Spec as Golden +import qualified ImplicitSpec as Implicit +import qualified TesselationSpec as Tesselation + main :: IO () main = hspec $ do + -- run the golden tests to ensure we haven't broken mesh generation + describe "golden tests" Golden.spec -- run tests against the expression parsing engine. describe "expression parsing" exprSpec -- and now, against the statement parsing engine. @@ -30,3 +39,10 @@ describe "expression execution" exprExec -- run tests against the evaluation engine, checking for messages. describe "program execution" programExec + + -- Generate data to be evaluated, and ensure the properties hold. + describe "property tests" propSpec + + Implicit.spec + Tesselation.spec + diff --git a/tests/MessageSpec/Message.hs b/tests/MessageSpec/Message.hs --- a/tests/MessageSpec/Message.hs +++ b/tests/MessageSpec/Message.hs @@ -1,6 +1,10 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014-2017, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE + +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} module MessageSpec.Message (programExec) where diff --git a/tests/MessageSpec/Util.hs b/tests/MessageSpec/Util.hs --- a/tests/MessageSpec/Util.hs +++ b/tests/MessageSpec/Util.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) @@ -19,6 +20,8 @@ import Test.Hspec (Expectation, shouldReturn) +import Data.Text.Lazy (Text) + -- | decide what options to send to the scad engine. generateScadOpts :: ScadOpts generateScadOpts = ScadOpts compat_flag import_flag @@ -33,7 +36,6 @@ getOpenscadMessages scadOptions [] source `shouldReturn` value where scadOptions = generateScadOpts --- | Types -- | An even smaller wrapper which runs a program, and only returns the generated messages. for the test suite. getOpenscadMessages :: ScadOpts -> [String] -> String -> IO [Message] @@ -41,5 +43,5 @@ (_, _, _, messages) <- runOpenscad scadOpts constants source return messages -oneMessage :: MessageType -> SourcePosition -> String -> [Message] +oneMessage :: MessageType -> SourcePosition -> Text -> [Message] oneMessage msgType pos text = [Message msgType pos text] diff --git a/tests/NOTES b/tests/NOTES new file mode 100644 --- /dev/null +++ b/tests/NOTES @@ -0,0 +1,2 @@ + +https://github.com/nmz787/microfluidic-cad: GPLV2 or greater diff --git a/tests/ParserSpec/Expr.hs b/tests/ParserSpec/Expr.hs --- a/tests/ParserSpec/Expr.hs +++ b/tests/ParserSpec/Expr.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014-2017, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,14 +6,19 @@ -- Allow us to use shorter forms of Var and Name. {-# LANGUAGE PatternSynonyms #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + module ParserSpec.Expr (exprSpec) where -- Be explicit about what we import. -import Prelude (Bool(True, False), String, ($)) +import Prelude (Bool(True, False), ($)) -- Hspec, for writing specs. -import Test.Hspec (describe, Expectation, Spec, it, pendingWith, specify) +import Test.Hspec (describe, Spec, it, specify) +import Data.Text.Lazy (Text) + -- Parsed expression components. import Graphics.Implicit.ExtOpenScad.Definitions (Expr(ListE, (:$)), Symbol(Symbol)) @@ -28,14 +34,11 @@ default (ℝ) -- Let us use the old syntax when defining Vars and Names. -pattern Var :: String -> Expr +pattern Var :: Text -> Expr pattern Var s = GIED.Var (Symbol s) -pattern Name :: String -> GIED.Pattern +pattern Name :: Text -> GIED.Pattern pattern Name n = GIED.Name (Symbol n) -undefinedIssue :: Expectation -> Expectation -undefinedIssue _ = pendingWith "this errors, but the expecting is equal to the recieved. huh?" - logicalSpec :: Spec logicalSpec = do describe "not" $ do @@ -84,7 +87,7 @@ it "accepts true" $ "true" --> bool True it "accepts false" $ "false" --> bool False describe "undefined" $ - it "accepts undef" $ undefinedIssue $ "undef" --> undefined + it "accepts undef" $ "undef" --> undefined letBindingSpec :: Spec letBindingSpec = do diff --git a/tests/ParserSpec/Statement.hs b/tests/ParserSpec/Statement.hs --- a/tests/ParserSpec/Statement.hs +++ b/tests/ParserSpec/Statement.hs @@ -1,3 +1,4 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright (C) 2014-2017, Julia Longtin (julial@turinglace.com) -- Released under the GNU AGPLV3+, see LICENSE @@ -5,6 +6,9 @@ -- Allow us to use shorter forms of Var and Name. {-# LANGUAGE PatternSynonyms #-} +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + -- | Statement related hspec tests. module ParserSpec.Statement (statementSpec) where @@ -12,6 +16,8 @@ import Test.Hspec (Spec, Expectation, shouldBe, it, describe) +import Data.Text.Lazy (Text) + import ParserSpec.Util (bool, num, minus, plus, mult, index) import Graphics.Implicit.ExtOpenScad.Definitions (StatementI(StatementI), Symbol(Symbol), Expr(ListE, LamE, (:$)), Statement(NewModule, ModuleCall, If, (:=)), Pattern(ListP), SourcePosition(SourcePosition)) @@ -26,27 +32,23 @@ import Data.Either (Either(Right)) -- Let us use the old syntax when defining Vars and Names. -pattern Var :: String -> Expr +pattern Var :: Text -> Expr pattern Var s = GIED.Var (Symbol s) -pattern Name :: String -> Pattern +pattern Name :: Text -> Pattern pattern Name n = GIED.Name (Symbol n) -- | an expectation that a string is equivalent to a statement. -infixr 1 --> (-->) :: String -> [StatementI] -> Expectation (-->) source stmts = parseProgram "noname" source `shouldBe` Right stmts - --- | an expectation that a string generates an error. --- parsesAsError :: String -> Expectation --- parsesAsError source = parseProgram "noname" source `shouldSatisfy` isLeft +infixr 1 --> -- | A single statement. single :: Statement StatementI -> [StatementI] single st = [StatementI (SourcePosition 1 1 "noname") st] -- | A function call. -call :: String -> Fastℕ -> [(Maybe Symbol, Expr)] -> [StatementI] -> StatementI +call :: Text -> Fastℕ -> [(Maybe Symbol, Expr)] -> [StatementI] -> StatementI call name column args stmts = StatementI (SourcePosition 1 column "noname") (ModuleCall (Symbol name) args stmts) -- | Test assignments. @@ -70,7 +72,7 @@ fooFunction = Name "foo" := LamE [Name "x", Name "y"] (mult [Var "x", Var "y"]) --- | Test a simple if block. +-- Test a simple if block. ifSpec :: Spec ifSpec = do it "parses" $ @@ -80,7 +82,7 @@ "if ( true ) { a ( ) ; } else {b();}" --> single ( If (bool True) [call "a" 15 [] []] [call "b" 31 [] []]) --- | Our entry point. Test all of the statements. +-- Our entry point. Test all of the statements. statementSpec :: Spec statementSpec = do describe "empty file" $ @@ -113,3 +115,8 @@ "module foo_bar ( x ) { }" --> single (NewModule (Symbol "foo_bar") [(Symbol "x", Nothing)] []) it "accepts argument with default" $ "module foo_bar ( x = 1) { }" --> single (NewModule (Symbol "foo_bar") [(Symbol "x", Just $ num 1)] []) + it "accepts split lines" $ do + "module foo\n(\nbar\n)\n{}" --> single (NewModule (Symbol "foo") [(Symbol "bar", Nothing)] []) + describe "identifiers" $ do + it "accepts unicode" $ + "module 💩 () { }" --> single (NewModule (Symbol "💩") [] []) diff --git a/tests/ParserSpec/Util.hs b/tests/ParserSpec/Util.hs --- a/tests/ParserSpec/Util.hs +++ b/tests/ParserSpec/Util.hs @@ -1,8 +1,12 @@ +{- ORMOLU_DISABLE -} -- Implicit CAD. Copyright (C) 2011, Christopher Olah (chris@colah.ca) -- Copyright 2014 2015 2016, Julia Longtin (julial@turinglace.com) -- Copyright 2015 2016, Mike MacHenry (mike.machenry@gmail.com) -- Released under the GNU AGPLV3+, see LICENSE +-- Allow us to use string literals for Text +{-# LANGUAGE OverloadedStrings #-} + -- Utilities module ParserSpec.Util ( (-->) @@ -49,6 +53,8 @@ import Data.Either (Either(Right)) +import Data.Text.Lazy (Text) + -- The expression parser entry point. import Graphics.Implicit.ExtOpenScad.Parser.Expr (expr0) @@ -58,7 +64,7 @@ (-->) source expr = parse (expr0 <* eof) "" source `shouldBe` Right expr --- | Types +-- Types num :: ℝ -> Expr num x @@ -70,13 +76,13 @@ bool :: Bool -> Expr bool = LitE . OBool -stringLiteral :: String -> Expr +stringLiteral :: Text -> Expr stringLiteral = LitE . OString undefined :: Expr undefined = LitE OUndefined --- | Operators +-- Operators plus,minus,mult,modulo,power,divide,negate,and,or,not,gt,lt,ternary,append,index :: [Expr] -> Expr minus = oapp "-" @@ -95,9 +101,12 @@ append = oapp "++" plus = oapp "+" --- | We need two different kinds of application functions, one for operators, and one for functions. -oapp,fapp :: String -> [Expr] -> Expr +-- | We need two different kinds of application functions, one for operators, and one for functions. See also: 'fapp'. +oapp :: Text -> [Expr] -> Expr oapp name args = Var (Symbol name) :$ args + +-- | See 'oapp'. +fapp :: Text -> [Expr] -> Expr fapp name args = Var (Symbol name) :$ [ListE args] lambda :: [Pattern] -> Expr -> [Expr] -> Expr diff --git a/tests/PropertySpec.hs b/tests/PropertySpec.hs new file mode 100644 --- /dev/null +++ b/tests/PropertySpec.hs @@ -0,0 +1,14 @@ +{- ORMOLU_DISABLE -} +module PropertySpec + ( propSpec + ) where + +import Test.Hspec (Spec) +import PropertySpec.Exec (additionSpec, subtractionSpec, multiplicationSpec, divisionSpec) + +propSpec :: Spec +propSpec = do + additionSpec + subtractionSpec + multiplicationSpec + divisionSpec diff --git a/tests/PropertySpec/Exec.hs b/tests/PropertySpec/Exec.hs new file mode 100644 --- /dev/null +++ b/tests/PropertySpec/Exec.hs @@ -0,0 +1,70 @@ +{- ORMOLU_DISABLE -} +module PropertySpec.Exec + ( additionSpec + , subtractionSpec + , multiplicationSpec + , divisionSpec + )where + +import Data.Foldable (fold, foldl1) +import Data.List.NonEmpty (intersperse) +import ExecSpec.Util (num) +import Graphics.Implicit.ExtOpenScad.Definitions (OVal (ONum)) +import Graphics.Implicit.ExtOpenScad.Eval.Constant (runExpr) +import HaskellWorks.Hspec.Hedgehog (requireProperty) +import Hedgehog (diff, forAll) +import qualified Hedgehog.Gen as Gen +import qualified Hedgehog.Range as Range +import Prelude (Bool (False), Floating, String, Double, Show, + Eq, Ord, fail, show, + ($), (&&), (+), + (.), (<$>), (<=), (*), (/), + (<>), (>=), (-)) +import Test.Hspec (Spec, it) + +approx :: (Floating a, Ord a) => a -> a -> a -> Bool +approx z a b = a + z >= b && a <= b + z + +data Op = Add | Sub | Mul | Div + deriving Eq + +instance Show Op where + show Add = "+" + show Sub = "-" + show Mul = "*" + show Div = "/" + +opName :: Op -> String +opName Add = "addition" +opName Sub = "subttraction" +opName Mul = "multiplication" +opName Div = "division" + +fromOp :: Op -> Double -> Double -> Double +fromOp Add = (+) +fromOp Sub = (-) +fromOp Mul = (*) +fromOp Div = (/) + +mathsSpec :: Op -> Spec +mathsSpec o = + it (opName o) . requireProperty $ do + -- up to 100 values, between 1 and 1000 + l <- forAll . Gen.nonEmpty (Range.linear 1 100) . Gen.double $ Range.linearFrac 1 1000 + let e = fold . intersperse (show o) $ show <$> l + n = foldl1 (fromOp o) l + case (runExpr e False, num n) of + ((ONum a, []), ONum b) -> diff a (approx 0.000001) b -- Some value to supress floating point inaccuracies + (a, _) -> fail $ "Unexpected result value " <> show a + +additionSpec :: Spec +additionSpec = mathsSpec Add + +subtractionSpec :: Spec +subtractionSpec = mathsSpec Sub + +multiplicationSpec :: Spec +multiplicationSpec = mathsSpec Mul + +divisionSpec :: Spec +divisionSpec = mathsSpec Div diff --git a/tests/TesselationSpec.hs b/tests/TesselationSpec.hs new file mode 100644 --- /dev/null +++ b/tests/TesselationSpec.hs @@ -0,0 +1,150 @@ +{- ORMOLU_DISABLE -} +{-# LANGUAGE BangPatterns #-} +{-# LANGUAGE DeriveGeneric #-} +{-# LANGUAGE ImplicitPrelude #-} +{-# LANGUAGE TupleSections #-} +{-# LANGUAGE TypeApplications #-} +{-# LANGUAGE ViewPatterns #-} + +module TesselationSpec (spec) where + +import Prelude (Int, Maybe(Just), Show, Eq, Enum, (-), otherwise, (<), ($), pure, length, (.), head, fmap, drop, repeat, take, zip, uncurry, (!!), (=<<), mappend, zipWith, unzip, replicate, (<$>), enumFrom) +import Test.Hspec + (describe, shouldBe, shouldContain, Spec, Expectation ) +import Test.QuickCheck (Gen, Positive(), arbitrary, choose, getPositive, shuffle) +import Data.Foldable ( for_ ) +import Test.Hspec.QuickCheck (prop) +import Data.List (sort, group) +import Data.Traversable ( for ) +import Graphics.Implicit.Export.Render.GetLoops (getLoops) +import Graphics.Implicit.Test.Utils (randomGroups) +import Graphics.Implicit.Test.Instances () +import Control.Monad (join) +import Control.Lens (Ixed(ix), (&), (.~) ) + +spec :: Spec +spec = do + describe "getLoops" $ do + prop "stability" $ do + n <- choose (2, 20) + (_, segs) <- genManyLoops @Int 0 n + -- Shuffle the loops amongst themselves (but dont intermingle their segments) + shuffled_segs <- shuffle segs + pure $ do + Just loops <- pure $ getLoops $ join shuffled_segs + -- The discovered loops should be in the same order that we generated + -- them in + for_ (zip loops shuffled_segs) $ \(loop, seg) -> + head loop `shouldBe` head seg + + prop "loops a loop" $ do + (v, segs) <- genLoop @Int 0 + pure $ do + Just [loop] <- pure $ getLoops segs + proveLoop v loop + + prop "loops many loops" $ do + -- Pick a number of loops to aim for + n <- choose (2, 20) + (vs, segs) <- genManyLoops @Int 0 n + + -- Shuffle the segments of all the loops together + shuffled_segs <- shuffle $ join segs + pure $ do + Just loops <- pure $ getLoops shuffled_segs + -- Make sure we have the right length + length loops `shouldBe` n + -- Ensure that we can 'proveLoop' on each loop + for_ (zip vs $ sort loops) $ uncurry proveLoop + + prop "inserting in the middle is ok" $ do + (_, segs) <- genLoop @Int 0 + let n = length segs + -- Pick a random segment + seg_idx <- choose (0, n - 1) + -- Insert a random element into it + seg' <- insertMiddle (segs !! seg_idx) =<< arbitrary + let segs' = segs & ix seg_idx .~ seg' + + pure $ do + -- We should be able to get the loops of the original and inserted segments. + Just [loop] <- pure $ getLoops segs + Just [loop'] <- pure $ getLoops segs' + -- Really we're just testing to make sure the above pattern match doesn't + -- 'fail', but let's make sure they have the same number of segments too. + length loop `shouldBe` length loop' + +------------------------------------------------------------------------------ +-- | Show that the given loop exists somewhere in the discovered loops. +-- Correctly deals with the case where the two loops start at different places. +proveLoop :: (Show a, Eq a) => [a] -> [[a]] -> Expectation +proveLoop v loops = + join (replicate 2 v) `shouldContain` unloop loops + +------------------------------------------------------------------------------ +-- | Generate a loop and random segments that should produce it. The defining +-- equation of this generator is tested by "getLoops > loops a loop". +genLoop + :: Enum a + => a + -> Gen ([a], [[a]]) -- ^ @(loop, segments)@ +genLoop start = do + n <- getPositive <$> arbitrary @(Positive Int) + let v = take n $ enumFrom start + bits <- randomGroups v + let segs = loopify bits + shuffled_segs <- shuffle segs + pure (v, shuffled_segs) + +------------------------------------------------------------------------------ +-- | Like 'genLoop', but produces several loops, tagged with an index number. +-- For best results, you should call @shuffle . join@ on the resulting segments +-- before calling @getLoops@ on it, to ensure the segments are intermingled +-- between the loops. +genManyLoops + :: Enum a + => a + -> Int -- ^ Number of loops to generate + -> Gen ([[(Int, a)]], [[[(Int, a)]]]) -- ^ @(loop, segments)@ +genManyLoops start n = do + fmap unzip $ for [0 .. n - 1] $ \idx -> do + -- Generate a loop for each + (v, segs) <- genLoop start + -- and tag it with the index + pure (fmap (idx,) v, fmap (fmap (idx,)) segs) + +------------------------------------------------------------------------------ +-- | Given a list of lists, insert elements into the 'head' and 'last' of each +-- sub-list so that the 'last' of one list is the 'head' of the next. +loopify :: [[a]] -> [[a]] +loopify as = zipWith (\a -> mappend a . take 1) as $ drop 1 $ join $ repeat as + +------------------------------------------------------------------------------ +-- | Remove sequential elements in a list. Additionally, this function removes +-- the 'head' of the list, because conceptully it is also the 'last'. +unloop :: Eq a => [[a]] -> [a] +unloop = drop 1 . fmap head . group . join + +------------------------------------------------------------------------------ +-- | Insert an element into the middle (not 'head' or 'last') of a list. +insertMiddle :: [a] -> a -> Gen [a] +insertMiddle [] _ = pure [] +insertMiddle [a] _ = pure [a] +insertMiddle as a = do + let n = length as + i <- choose (1, n - 1) + pure $ insertAt i a as + +------------------------------------------------------------------------------ +-- | Helper function to insert an element into a list at a given position. +-- +-- Stolen from https://hackage.haskell.org/package/ilist-0.4.0.1/docs/Data-List-Index.html#v:insertAt +insertAt :: Int -> a -> [a] -> [a] +insertAt i a ls + | i < 0 = ls + | otherwise = go i ls + where + go 0 xs = a : xs + go n (x:xs) = x : go (n-1) xs + go _ [] = [] + diff --git 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a/tests/golden/boxCylinder.scad b/tests/golden/boxCylinder.scad new file mode 100644 --- /dev/null +++ b/tests/golden/boxCylinder.scad @@ -0,0 +1,4 @@ +union(){ +cube([5.0e0,5.0e0,5.0e0]); +translate([2.5e0,2.5e0,5.0e0])cylinder(r1 = 2.0e0,r2 = 1.0e0,3.0e0); +} diff --git a/tests/golden/boxCylinder.stl b/tests/golden/boxCylinder.stl new file mode 100644 Binary files /dev/null and b/tests/golden/boxCylinder.stl differ diff --git a/tests/golden/boxCylinder.three.js b/tests/golden/boxCylinder.three.js new file mode 100644 --- /dev/null +++ b/tests/golden/boxCylinder.three.js @@ -0,0 +1,1845 @@ +var Shape = function(){ +var s = this; +THREE.Geometry.call(this); +function vec(x,y,z){return new THREE.Vector3(x,y,z);} +function v(x,y,z){s.vertices.push(vec(x,y,z));} +function f(a,b,c){s.faces.push(new THREE.Face3(a,b,c));} +v(6.7137964e-2,5.0e-1,5.828671e-16); +v(5.0e-1,5.0e-1,0.0e0); +v(5.0e-1,6.7137964e-2,5.828671e-16); +v(6.7137964e-2,5.0e-1,5.828671e-16); 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/dev/null +++ b/tests/tobacco_mesophyll_protoplast_fusion_device.escad @@ -0,0 +1,493 @@ +// tobacco_mesophyll_protoplast_fusion_device.escad +// + +$quality = 1; + +module pdms_slab(distance_output_port_from_center) +{ + width=distance_output_port_from_center*3; + translate ([width/-2,width/-2]) square(size=[width, width]); +} + + +module single_output_port(radius_from_center, output_port_diameter, angle) +{ + translate ([(radius_from_center)*cos(angle), (radius_from_center)*sin(angle)]) circle(output_port_diameter/2); +} + + +module radial_outlets(input_port_diameter, + len_funnel, + length_catcher, + output_port_diameter, + num_output_ports) +{ + radius_from_center=(input_port_diameter/2) + len_funnel + length_catcher; + union() { + + + for( angle= [ 1: 1: num_output_ports] ) + { + single_output_port(radius_from_center, output_port_diameter, (2*pi)/num_output_ports*angle); + } + } +} + + +module single_radial_protoplast_catcher(input_port_radius, + angle, + angle_degrees, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + len_funnel) +{ + y_neg = width_catcher/-2; + x_neg = length_catcher/-2; + y_pos = width_catcher/2; + x_pos = length_catcher/2; + //translate([(radius+y_pos/2)*cos(angle), (radius+y_pos/2)*sin(angle)]){ + translate([(input_port_radius+len_funnel)*cos(angle), (input_port_radius+len_funnel)*sin(angle)]) + { + rotate(angle_degrees) + { + translate([0, y_neg]) + { + difference() + { + square(size=[length_catcher, width_catcher]); + union() + { + for (i=[0:1:(width_catcher/catcher_post_pitch)+1]) + { + translate([length_catcher*3/4, (i*catcher_post_pitch)+(catcher_post_pitch)]) square([catcher_post_h, + catcher_post_w], + r=catcher_post_roundness); + translate([length_catcher*3/4 + catcher_post_pitch + (catcher_post_h/2), (i*catcher_post_pitch)+(catcher_post_pitch)]) square([catcher_post_h, + catcher_post_w], + r=catcher_post_roundness); + } + } + } + } + } + } +} + +//posts.escad START + +module bifurcated_posts(num_posts_across_min, + half_offset, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_rows) +{ + even_odd=0; + union() + { + for (r=[0:1:num_rows]) + //for (r=[0:1:1]) + { + row_num_posts=(num_posts_across_min+r*2); + even_odd_row_offset = 0; + if (even_odd==1){ + even_odd=0; + even_odd_row_offset = (symmetric_bifurcation_post_pitch/2); + + } + else { + even_odd=1; + row_num_posts=row_num_posts+1; + } + //For Pattern Expr [st] + for (i=[0:1:row_num_posts]) + { + + //translate([r*symmetric_bifurcation_post_pitch, + // (i*symmetric_bifurcation_post_pitch)-(r*symmetric_bifurcation_post_pitch)+even_odd_row_offset-half_inner_width-symmetric_bifurcation_post_pitch+(symmetric_bifurcation_post_w*1.5)]) + translate([r*symmetric_bifurcation_post_pitch, + (half_offset + + (i*symmetric_bifurcation_post_pitch)- + (r*symmetric_bifurcation_post_pitch)- + (symmetric_bifurcation_post_w/2)+ + (even_odd_row_offset) + ) + ]) + { + square([symmetric_bifurcation_post_h, + symmetric_bifurcation_post_w], + r=symmetric_bifurcation_post_roundness); + } + } + } + } +} + +module single_symmetrical_bifurcation_funnel(input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_posts_across_min, + num_rows, + len_funnel) +{ + x_neg = len_funnel/-2; + + y_neg = input_symmetric_bifurcation_outer_width/-2; + + half_offset=((input_symmetric_bifurcation_outer_width-input_symmetric_bifurcation_inner_width)/2); + + translate([0, y_neg]){ + difference() + //union() + { + + polygon([[0,half_offset], + [0, half_offset + input_symmetric_bifurcation_inner_width], + [len_funnel, input_symmetric_bifurcation_outer_width], + [len_funnel, 0] + ]); + + //square(input_symmetric_bifurcation_inner_width); + bifurcated_posts(num_posts_across_min, + half_offset, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_rows); + + } + } +} + +// posts.escad DONE + +module single_radial_symmetrical_bifurcation_funnel(radius_from_center, + angle_rad, + angle_deg, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_posts_across_min, + num_rows, + len_funnel) +{ + tangent_chord_offset=(radius_from_center- (radius_from_center*cos(asin(input_symmetric_bifurcation_inner_width/radius_from_center))))/4; + translate([(radius_from_center)*cos(angle_rad), (radius_from_center)*sin(angle_rad)]) + { + rotate(angle_deg) + { + single_symmetrical_bifurcation_funnel(input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_posts_across_min, + num_rows, + len_funnel); + } + } +} + + +module radial_center_input(input_port_diameter, + num_output_ports, + output_connection_width + ) +{ + radius_from_center = input_port_diameter/2; + half_inner_width = output_connection_width/2; + tangent_chord_offset = radius_from_center - (radius_from_center*cos(asin(output_connection_width/radius_from_center))); + difference() + { + circle(r=input_port_diameter/2); + union() + { + for( angle = [ 1: 1: num_output_ports] ) + { + angle_rad = (2*pi)/num_output_ports*angle; + angle_deg = (360.0/num_output_ports*angle); + translate([(radius_from_center)*cos(angle_rad), (radius_from_center)*sin(angle_rad)]) + { + rotate(angle_deg) + { + translate([tangent_chord_offset/-4,-half_inner_width]) + { + square(output_connection_width); + } + } + } + } + } + } +} + + +module radial_columns(symmetric_bifurcation_start_radius, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + num_output_ports, + num_posts_across_min, + num_rows, + len_funnel) +{ + union(){ + for( angle = [ 1: 1: num_output_ports] ) + { + angle_rad = (2*pi)/num_output_ports*angle; + angle_deg = ((2)/num_output_ports*angle)*(180); + tangent_chord_offset=(symmetric_bifurcation_start_radius- (symmetric_bifurcation_start_radius*cos(asin(input_symmetric_bifurcation_inner_width/symmetric_bifurcation_start_radius))))/4; + translate([(-tangent_chord_offset)*cos(angle_rad), (-tangent_chord_offset)*sin(angle_rad)]) + { + single_radial_symmetrical_bifurcation_funnel(symmetric_bifurcation_start_radius, + angle_rad, + angle_deg, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + num_posts_across_min, + num_rows, + len_funnel); + + single_radial_protoplast_catcher(input_port_radius=symmetric_bifurcation_start_radius, + angle=angle_rad, + angle_degrees=angle_deg, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + len_funnel); + + } + } + } +} + + +module protoplast_bottom_layer_2d(input_port_diameter, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + distance_output_port_from_center, + dist_center_catcher_to_center_device, + io_height, + protoplast_chamber_height, + output_port_diameter, + num_output_ports) +{ + union() + { + radial_center_input(input_port_diameter, + num_output_ports, + input_symmetric_bifurcation_inner_width); + + num_posts_across_min = input_symmetric_bifurcation_inner_width / symmetric_bifurcation_post_pitch; + num_posts_across_max = input_symmetric_bifurcation_outer_width / symmetric_bifurcation_post_pitch; + + num_rows=(num_posts_across_max - num_posts_across_min)/2; + len_funnel = num_rows*symmetric_bifurcation_post_pitch; + + radial_columns(input_port_diameter/2, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + num_output_ports, + num_posts_across_min, + num_rows, + len_funnel); + + radial_outlets(input_port_diameter, + len_funnel, + length_catcher, + output_port_diameter, + num_output_ports, + 0.5, + 0.1); + } +} + + +module protoplast_io(input_port_diameter, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + distance_output_port_from_center, + dist_center_catcher_to_center_device, + io_height, + protoplast_chamber_height, + output_port_diameter, + num_output_ports) +{ + union() + { + radial_center_input(input_port_diameter, + num_output_ports, + input_symmetric_bifurcation_inner_width); + + num_posts_across_min = input_symmetric_bifurcation_inner_width / symmetric_bifurcation_post_pitch; + num_posts_across_max = input_symmetric_bifurcation_outer_width / symmetric_bifurcation_post_pitch; + + num_rows=(num_posts_across_max - num_posts_across_min)/2; + len_funnel = num_rows*symmetric_bifurcation_post_pitch; + + radial_outlets(input_port_diameter, + len_funnel, + length_catcher, + output_port_diameter, + num_output_ports, + 0.5, + 0.1); + } +} + + +module tobacco_mesophyll_protoplast_fusion_device(input_port_diameter, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + distance_output_port_from_center, + dist_center_catcher_to_center_device, + io_height, + protoplast_chamber_height, + output_port_diameter, + num_output_ports) +{ + difference() + { + linear_extrude(io_height) + { + pdms_slab(distance_output_port_from_center); + } + union() + { + linear_extrude(protoplast_chamber_height) + protoplast_bottom_layer_2d(input_port_diameter, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + distance_output_port_from_center, + dist_center_catcher_to_center_device, + io_height, + protoplast_chamber_height, + output_port_diameter, + num_output_ports); + linear_extrude(io_height) + protoplast_io(input_port_diameter, + input_symmetric_bifurcation_inner_width, + input_symmetric_bifurcation_outer_width, + symmetric_bifurcation_post_w, + symmetric_bifurcation_post_h, + symmetric_bifurcation_post_roundness, + symmetric_bifurcation_post_pitch, + length_catcher, + width_catcher, + catcher_post_w, + catcher_post_h, + catcher_post_roundness, + catcher_post_pitch, + distance_output_port_from_center, + dist_center_catcher_to_center_device, + io_height, + protoplast_chamber_height, + output_port_diameter, + num_output_ports); + } + } +} + + +tobacco_mesophyll_protoplast_fusion_device(input_port_diameter=1200, + input_symmetric_bifurcation_inner_width=200, + input_symmetric_bifurcation_outer_width=900, + symmetric_bifurcation_post_w=20, + symmetric_bifurcation_post_h=30, + symmetric_bifurcation_post_roundness=15, + symmetric_bifurcation_post_pitch=40, + length_catcher=3200, + width_catcher=900, + catcher_post_w=20, + catcher_post_h=30, + catcher_post_roundness=20, + catcher_post_pitch=20+(20/2), + distance_output_port_from_center=3200+200+800, + dist_center_catcher_to_center_device = (3200/2)+800, + + io_height=500, + protoplast_chamber_height=55, + output_port_diameter=1200, + + num_output_ports=5 + ); +