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diagrams-lib 1.3.1.4 → 1.5.1

raw patch · 143 files changed

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CHANGELOG.md view
@@ -1,3 +1,291 @@+## [v1.5.1](https://github.com/diagrams/diagrams-lib/tree/v1.5.1) (2025-12-02)++- New `Semigroup` instance for located lines (i.e. `Located (Trail'+  Line v n)`), which adds an extra segment from the end of the first+  to the start of the second.++## [v1.5.0.1](https://github.com/diagrams/diagrams-lib/tree/v1.5.0.1) (2025-08-25)++- Fix bug in `bezierFindRoot` that caused diagrams to hang when+  computing the trace of certain degenerate Bezier curves.  See+  https://github.com/diagrams/diagrams-contrib/issues/91 .++## [v1.5-r2](https://github.com/diagrams/diagrams-lib/tree/v1.5-r2) (2025-06-12)++- Allow `optparse-applicative-0.19`++## [v1.5-r1](https://github.com/diagrams/diagrams-lib/tree/v1.5-r1) (2025-05-17)++- Allow `monoid-extras-0.7`++## [v1.5](https://github.com/diagrams/diagrams-lib/tree/v1.5) (2025-02-13)++- Allow `base-4.21` and test on GHC 9.12+- Remove looped compilation mode options ([#372](https://github.com/diagrams/diagrams-lib/pull/372))+    - This allows us to remove the `fsnotify` dependency, which in+      turn allows compiling diagrams to Wasm.+    - To recover similar functionality (automatically recompiling+      every time a source file changes), try an external tool like+      `ghcid` or `ghciwatch`, or, more generically, `entr`.++## [v1.4.7](https://github.com/diagrams/diagrams-lib/tree/v1.4.7) (2024-10-26)++- Switch to `data-default-0.8` instead of `data-default-class`++## [v1.4.6.2-r3](https://github.com/diagrams/diagrams-lib/tree/v1.4.6.2-r3) (2024-08-23)++- Allow `hashable-1.5`++## [v1.4.6.2-r2](https://github.com/diagrams/diagrams-lib/tree/v1.4.6.2-r2) (2024-07-01)++- Allow `tasty-quickcheck-0.11`++## [v1.4.6.2-r1](https://github.com/diagrams/diagrams-lib/tree/v1.4.6.2-r1) (2024-05-01)++- Allow `base-4.21` (GHC 9.10), `containers-0.7`, `lens-5.3`, and `filepath-1.5`++## [v1.4.6.2](https://github.com/diagrams/diagrams-lib/tree/v1.4.6.2) (2024-05-01)++- Support for `linear-1.23`.  This version of `linear` introduces a+  breaking change, so add an internal compatibility module that allows+  diagrams to work with any version of `linear` both before and after+  the change.++## [v1.4.6.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.6.1) (2024-02-26)++- Fix compilation on BSD ([#367](https://github.com/diagrams/diagrams-lib/pull/367), thanks to Finn Espen Gundersen)++## [v1.4.6-r4](https://github.com/diagrams/diagrams-lib/tree/v1.4.6-r4) (2024-01-11)++- Allow `base-4.19` and test with GHC 9.8+- Allow `text-2.1`++## [v1.4.6-r3](https://github.com/diagrams/diagrams-lib/tree/v1.4.6-r3) (2023-09-14)++- Allow `tasty-1.5`++## [v1.4.6-r2](https://github.com/diagrams/diagrams-lib/tree/v1.4.6-r2) (2023-08-16)++- Allow `bytestring-0.12` and `deepseq-1.5`++## [v1.4.6-r1](https://github.com/diagrams/diagrams-lib/tree/v1.4.6-r1) (2023-05-25)++- Allow `optparse-applicative-0.18`++## [v1.4.6](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.3) (2023-05-15)++- Allow `base-4.18`; test with GHC 9.6 (thanks to @sergv)+- Fix some warnings (thanks to @sergv)++## [v1.4.5.3](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.3) (2022-09-19)++- Update to `fsnotify-0.4`++- Revisions:+  - r1: require `lens-5.1`+  - r2: allow `mtl-2.3`+  - r3 (3 Dec 2022): allow `linear-1.22`++## [v1.4.5.2](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.2) (2022-09-14)++- Fix build with `transformers-0.6`+- Fix some deprecation warnings++## [v1.4.5.1-r3](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.1-r3) (2022-08-27)++- Allow `base-4.17` and `lens-5.2`; test with GHC 9.4++## [v1.4.5.1-r2](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.1-r2) (2022-02-01)++- Allow `optparse-applicative-0.17`++## [v1.4.5.1-r1](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.1-r1) (2022-01-08)++- Allow `text-2.0`++## [v1.4.5.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.5.1) (2021-12-17)++- Bug fix: make things compile again under versions of `lens` before 5.1.++## [v1.4.5](https://github.com/diagrams/diagrams-lib/tree/v1.4.5) (2021-12-16)++- Allow `base-4.16` (tested with GHC 9.2.1)+- Allow `semigroups-0.20`, `lens-5.1`, `hashable-1.4`,+  `transformers-0.6`+- Add `Eq` instance for `SizeSpec`++## [v1.4.4-r1](https://github.com/diagrams/diagrams-lib/tree/v1.4.4-r1) (2021-06-05)++- Bumps to dependency upper bounds:+    - Allow `tasty-1.4`+    - Allow `bytestring-0.11`++## [v1.4.4](https://github.com/diagrams/diagrams-lib/tree/v1.4.4) (2021-05-24)++- Bumps to upper bounds, to allow building with:+    - `base-4.15` (tested with GHC 9.0.1)+    - `optparse-applicative` (tested with GHC 8.8.4 & 8.10.2)++- Updated use of Kinds thoughout the package++- Drop support for GHC 8.2 or earlier++## [v1.4.3](https://github.com/diagrams/diagrams-lib/tree/v1.4.3) (2019-11-06)++- Bumps to upper bounds, to allow building with:+    - `base-4.13` (tested with GHC 8.8.1)+    - `intervals-0.9`+    - `semigroups-0.19`+    - `hashable-1.3`+- Many bug fixes, including+    - [#313](https://github.com/diagrams/diagrams-lib/issues/313) (`combineBoundaries`)+    - [#322](https://github.com/diagrams/diagrams-lib/issues/322), [#329](https://github.com/diagrams/diagrams-lib/issues/329) (`section`)+    - [#325](https://github.com/diagrams/diagrams-lib/pull/325)+      (Bezier/Bezier intersection)+    - [#339](https://github.com/diagrams/diagrams-lib/pull/339) (`perspectiveZ1`)+- Added derived `Eq` and `Ord` instances for `FixedSegment`++## [v1.4.2.3](https://github.com/diagrams/diagrams-lib/tree/v1.4.2.3) (2018-06-11)++- Bug fix for `extrudeEnvelope` and friends ([#316](https://github.com/diagrams/diagrams-lib/issues/316))++## [v1.4.2.2](https://github.com/diagrams/diagrams-lib/tree/v1.4.2.2) (2018-05-08)++- Fixes for GHC < 8.0++## [v1.4.2.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.2.1) (2018-04-13)++- Allow `base-4.11` (GHC 8.4)+- Allow `tasty-quickcheck-0.10`+- Bug fix for `Diagrams.TwoD.Offset.capArc` ([#310](https://github.com/diagrams/diagrams-lib/pull/310))++## [v1.4.2-r1](https://github.com/diagrams/diagrams-lib/tree/v1.4.2-r1) (2017-12-20)++Hackage revision to allow `tasty-1.0` in the test suite.++## [v1.4.2](https://github.com/diagrams/diagrams-lib/tree/v1.4.2) (2017-12-20)++- New functions:+    - `boxGrid`, for computing a grid of regularly spaced points.+    - `scalingRotationTo` and `scaleRotateTo`, for affine conformal 2D+      transformations.+- Documentation fixes:+    - `dirBetween`+    - `PolyOrientation`+- Upper bound updates: allow `tasty-0.12`, `tasty-quickcheck-0.9`,+  `tasty-hunit-0.10`, `optparse-applicative-0.14`+- Test with GHC 8.2.2++## [v1.4.1.2](https://github.com/diagrams/diagrams-lib/tree/v1.4.1.2) (2017-06-10)++- Fix test suite compilation failure [#299](https://github.com/diagrams/diagrams-lib/issues/299).++## [v1.4.1.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.1.1) (2017-06-06)++- Fix `Diagrams.Points.centroid` to make it total.+- Fix bug in `Diagrams.Transform.Matrix.fromMatWithInv` (and hence+  also related functions which called it, such as `fromMat22` and+  `fromMat33`).++## [v1.4.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.1) (2017-05-28)++- New functions `embeddedImage` and `loadImageEmbBS` for loading+  images.+- Fix [#289](https://github.com/diagrams/diagrams-lib/issues/289)+  which could have caused strange behavior in looped compilation mode+  on 32-bit platforms.+- Allow `intervals-0.8` and `directory-1.3`.+- Minor fixes to compile with GHC 8.2.++## [v1.4.0.1](https://github.com/diagrams/diagrams-lib/tree/v1.4.0.1) (2016-11-07)++- Fix test suite compilation problem ([#286](https://github.com/diagrams/diagrams-lib/issues/286))++## [v1.4](https://github.com/diagrams/diagrams-lib/tree/v1.4) (2016-10-26)++* **New features**++    - New `mkText'` function, which allows making a text primitive+      without recommending a fill colour or font size so users can+      recommend their own (*e.g.* using the `recommendFontSize`+      function).++    - New functions `reflectXY` and `reflectionXY`++    - New `composeAligned` combinator for doing composition under an+      alignment while leaving the local origin unaffected.++    - Add `_LocLoop` and `_LocLine` prisms++    - New `bspline` function for creating uniform cubic B-splines++    - New 3D features:+        - New `Skinned` class+        - Improved handling of 3D primitives+        - CSG++    - New standard attributes for separate fill and stroke opacity+      (see+      [#248](https://github.com/diagrams/diagrams-lib/issues/248)).++    - New `HasQuery` class for things which can be spatially queried+      for values from some monoid.++    - New function `inquire` for testing whether a given point is+      inside a diagram.++    - New font weights: `bolder`, `lighter`, `thinWeight`,+      `ultraLight`, `light`, `mediumWeight`, `heavy`, `semiBold`,+      `ultraBold`.  Note that currently only the SVG backend deals+      with the new weights.++    - Export `GetSegmentCodomain` and update documentation++    - Improved performance of 2D rotations++* **New instances**++    - `Alignable` instance for `Located`++    - `ToPath` instances for lines and loops++    - `Serialize` instances for `Trail`, `Path`, `Located`, `SegTree`,+      `Segment`++    - `Generic` instances for `Path`, `Located`++    - `Action` instance for `Angle`: angles act by rotation.++* **API changes**++    - `snugBL`, `snugBR`, `snugTR` and `snugBR` are deprecated.+      These functions were unintuitive, ad-hoc, and not particularly useful,+      especially since e.g. `snugL` and `snugB` do not commute. You+      can use something like `snugB . snugL` directly, or use `snug`+      with a direction vector.  See+      [#250](https://github.com/diagrams/diagrams-lib/issues/250) for+      more details.++* **Dependency/version changes**++    - upgrade `fsnotify` and drop dependency on deprecated+      `system-filepath`+    - Allow `lens-4.15`+    - Many other bumped upper bounds, see release notes for minor releases+      below++* **Bug fixes**++    - fix `orientPoints` function, which was previously generating NaN+      values with lists of only one or two+      points. ([#210](https://github.com/diagrams/diagrams-lib/issues/210))++    - Broken offset joins with non-vertices in loops ([#263](https://github.com/diagrams/diagrams-lib/issues/263))++    - Properly transform arrow shaft styles ([#274](https://github.com/diagrams/diagrams-lib/issues/274))++    - Fix sign error in `reflectionAbout`+ ## [v1.3.1.4](https://github.com/diagrams/diagrams-lib/tree/v1.3.1.4) (2016-08-16) (16 August 2016)  - allow `optparse-applicative-0.13`
LICENSE view
@@ -1,24 +1,35 @@-Copyright (c) 2011-2015 diagrams-lib team:+Copyright (c) 2011-2016 diagrams-lib team: +  Florent Becker <florent.becker@univ-orleans.fr>   Jan Bracker <jan.bracker@googlemail.com>   Daniel Bergey <bergey@alum.mit.edu>+  Vincent Berthoux <vincent.berthoux@gmail.com>   Christopher Chalmers <c.chalmers@me.com>+  Michael Chavinda <mchavinda@colgate.edu>   Denys Duchier <denys.duchier@univ-orleans.fr>   Daniil Frumin <difrumin@gmail.com>+  Ben Gamari <ben@smart-cactus.org>   Allan Gardner <allanegardner@gmail.com>   Pontus Granström <pnutus@gmail.com>+  Gabor Greif <ggreif@gmail.com>   Niklas Haas <nand@lavabit.com>   Peter Hall <peter.hall@memorphic.com>+  Dashiell Halpern   Claude Heiland-Allen <claudiusmaximus@goto10.org>   Deepak Jois <deepak.jois@gmail.com>+  Sidharth Kapur <sidharthkapur1@gmail.com>+  Taru Karttunen <taruti@taruti.net>   John Lato <jwlato@tsurucapital.com>+  Konrad Madej <kdmadej@gmail.com>   Chris Mears <chris@cmears.id.au>+  Alexis Praga <praga@cerfacs.fr>   Jeffrey Rosenbluth <jeffrey.rosenbluth@gmail.com>   Ian Ross <ian@skybluetrades.net>   Carlos Scheidegger <cscheid@research.att.com>   Michael Sloan <mgsloan@gmail.com>   Jim Snavely <ludflu@gmail.com>   Kanchalai Suveepattananont <ksuvee@seas.upenn.edu>+  Robert Vollmert <rfvollmert@gmail.com>   Scott Walck <walck@lvc.edu>   Ryan Yates <fryguybob@gmail.com>   Brent Yorgey <byorgey@cis.upenn.edu>
README.markdown view
@@ -1,4 +1,4 @@-[![Build Status](https://travis-ci.org/diagrams/diagrams-lib.png?branch=master)](https://travis-ci.org/diagrams/diagrams-lib)+[![Build Status](https://github.com/diagrams/diagrams-lib/actions/workflows/haskell-ci.yml/badge.svg)](https://github.com/diagrams/diagrams-lib/actions/workflows/haskell-ci.yml)  The standard library for [diagrams](http://projects.haskell.org/diagrams/), a Haskell embedded
diagrams-lib.cabal view
@@ -1,5 +1,5 @@ Name:                diagrams-lib-Version:             1.3.1.4+Version:             1.5.1 Synopsis:            Embedded domain-specific language for declarative graphics Description:         Diagrams is a flexible, extensible EDSL for creating                      graphics of many types.  Graphics can be created@@ -9,8 +9,8 @@                      creating diagrams.  To get started using it, see                      the "Diagrams" module, and refer to the tutorials and                      documentation on the diagrams website,-                     <http://projects.haskell.org/diagrams>.-Homepage:            http://projects.haskell.org/diagrams+                     <http://diagrams.github.io>.+Homepage:            http://diagrams.github.io License:             BSD3 License-file:        LICENSE Author:              Brent Yorgey@@ -18,10 +18,10 @@ Bug-reports:         http://github.com/diagrams/diagrams-lib/issues Category:            Graphics Build-type:          Simple-Cabal-version:       >=1.10-Extra-source-files:  CHANGELOG.md, README.markdown, diagrams/*.svg-Extra-doc-files:     diagrams/*.svg-Tested-with:         GHC == 7.4.2, GHC == 7.6.3, GHC == 7.8.4, GHC == 7.10.1+Cabal-version:       1.18+Extra-source-files:  diagrams/*.svg+Extra-doc-files:     CHANGELOG.md, README.markdown, diagrams/*.svg+Tested-with:         GHC ==8.4.4 || ==8.6.5 || ==8.8.4 || ==8.10.7 || ==9.0.2 || ==9.2.8 || ==9.4.8 || ==9.6.6 || ==9.8.2 || ==9.10.1 || ==9.12.1 Source-repository head   type:     git   location: http://github.com/diagrams/diagrams-lib.git@@ -40,6 +40,7 @@                        Diagrams.Combinators,                        Diagrams.Coordinates,                        Diagrams.CubicSpline,+                       Diagrams.CubicSpline.Boehm,                        Diagrams.CubicSpline.Internal,                        Diagrams.Deform                        Diagrams.Direction,@@ -99,38 +100,40 @@                        Diagrams.TwoD.Types,                        Diagrams.TwoD.Vector,                        Diagrams.Util-  Build-depends:       base >= 4.2 && < 4.10,-                       containers >= 0.3 && < 0.6,+  other-modules:       Linear.Vector.Compat+  Build-depends:       base >= 4.9 && < 4.22,+                       containers >= 0.3 && < 0.8,                        array >= 0.3 && < 0.6,-                       semigroups >= 0.3.4 && < 0.19,-                       monoid-extras >= 0.3 && < 0.5,+                       semigroups >= 0.3.4 && < 0.21,+                       monoid-extras >= 0.6 && < 0.8,                        dual-tree >= 0.2 && < 0.3,-                       diagrams-core >= 1.3 && < 1.4,+                       diagrams-core >= 1.4 && < 1.6,                        diagrams-solve >= 0.1 && < 0.2,                        active >= 0.2 && < 0.3,                        colour >= 2.3.2 && < 2.4,-                       data-default-class < 0.2,+                       data-default >= 0.8 && < 0.9,                        fingertree >= 0.1 && < 0.2,-                       intervals >= 0.7 && < 0.8,-                       lens >= 4.6 && < 4.15,-                       tagged >= 0.7,-                       optparse-applicative >= 0.11 && < 0.14,-                       filepath,-                       JuicyPixels >= 3.1.5 && < 3.3,-                       hashable >= 1.1 && < 1.3,-                       linear >= 1.20.1 && < 1.21,+                       intervals >= 0.7 && < 0.10,+                       lens >= 5.1 && < 5.4,+                       tagged >= 0.7 && < 0.9,+                       optparse-applicative >= 0.11 && < 0.20,+                       filepath >= 1.4 && < 1.6,+                       JuicyPixels >= 3.3.4 && < 3.4,+                       hashable >= 1.1 && < 1.6,+                       linear >= 1.20.1 && < 1.24,                        adjunctions >= 4.0 && < 5.0,                        distributive >=0.2.2 && < 1.0,-                       process >= 1.1 && < 1.5,-                       fsnotify >= 0.2.1 && < 0.3,-                       directory >= 1.2 && < 1.3,+                       process >= 1.1 && < 1.7,+                       directory >= 1.2 && < 1.4,                        unordered-containers >= 0.2 && < 0.3,-                       text >= 0.7.1 && < 1.3,-                       mtl >= 2.0 && < 2.3,-                       transformers >= 0.3.0 && < 0.6.0,-                       exceptions >= 0.6 && < 1.0-  if impl(ghc < 7.6)-    Build-depends: ghc-prim+                       text >= 0.7.1 && < 2.2,+                       mtl >= 2.0 && < 2.3 || >= 2.3.1 && < 2.4,+                       transformers >= 0.3.0 && < 0.7.0,+                       profunctors >= 5.0 && < 6.0,+                       exceptions >= 0.6 && < 1.0,+                       cereal >=0.4.1.1 && <0.6,+                       bytestring >=0.9 && <0.13,+                       fail >= 4.9.0.0 && <4.10   Hs-source-dirs:      src   ghc-options: -Wall   default-language:    Haskell2010@@ -144,10 +147,36 @@ test-suite tests   type: exitcode-stdio-1.0   main-is: Test.hs-  other-modules: Diagrams.TwoD.OffsetTest+  other-modules: Diagrams.Test.Direction+               , Diagrams.Test.Trail+               , Diagrams.Test.Transform+               , Diagrams.Test.Transform.Matrix+               , Diagrams.Test.TwoD.Offset+               , Diagrams.Test.TwoD.Segment+               , Diagrams.Test.TwoD+               , Diagrams.Test.Angle+               , Instances   hs-source-dirs: test-  build-depends:       base >= 4.2 && < 4.10,-                       tasty >= 0.10,-                       tasty-hunit >= 0.9.2,-                       diagrams-lib+  build-depends:       base,+                       tasty >= 0.10 && < 1.6,+                       tasty-hunit >= 0.9.2 && < 0.11,+                       tasty-quickcheck >= 0.8 && < 0.12,+                       QuickCheck >= 2.7,+                       deepseq >= 1.3 && < 1.6,+                       diagrams-lib,+                       lens,+                       distributive,+                       numeric-extras,+                       diagrams-solve   default-language:    Haskell2010++benchmark benchmarks+  type: exitcode-stdio-1.0+  main-is:Speed.hs+  hs-source-dirs:test+  default-language: Haskell2010+  build-depends:+    base < 5,+    criterion,+    diagrams-core,+    diagrams-lib
+ diagrams/src_Diagrams_Combinators_alignedEx1.svg view
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+ diagrams/src_Diagrams_Combinators_alignedEx2.svg view
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diagrams/src_Diagrams_Combinators_appendsEx.svg view
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diagrams/src_Diagrams_Combinators_besideEx.svg view
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diagrams/src_Diagrams_Trail_glueLineEx.svg view
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diagrams/src_Diagrams_Trail_lineFromOffsetsEx.svg view
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diagrams/src_Diagrams_Trail_lineFromVerticesEx.svg view
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diagrams/src_Diagrams_Trail_trailOffsetEx.svg view
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diagrams/src_Diagrams_TwoD_Arc_annularWedgeEx.svg view
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diagrams/src_Diagrams_TwoD_Arc_arc'Ex.svg view
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diagrams/src_Diagrams_TwoD_Arc_arcBetweenEx.svg view
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diagrams/src_Diagrams_TwoD_Arc_wedgeEx.svg view
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diagrams/src_Diagrams_TwoD_Arrow_example1.svg view
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diagrams/src_Diagrams_TwoD_Arrow_example2.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_blockEx.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_dart'Ex.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_dartEx.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_halfDart'Ex.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_quillEx.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_spike'Ex.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_thorn'Ex.svg view
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diagrams/src_Diagrams_TwoD_Arrowheads_thornEx.svg view
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diagrams/src_Diagrams_TwoD_Offset_expandLoopExample.svg view
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diagrams/src_Diagrams_TwoD_Offset_expandTrailExample.svg view
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diagrams/src_Diagrams_TwoD_Offset_offsetTrailExample.svg view
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diagrams/src_Diagrams_TwoD_Offset_offsetTrailLeftExample.svg view
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diagrams/src_Diagrams_TwoD_Offset_offsetTrailOuterExample.svg view
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diagrams/src_Diagrams_TwoD_Shapes_decagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_dodecagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_hendecagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_heptagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_hexagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_hruleEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_nonagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_octagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_pentagonEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_rectEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_roundedRectEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_squareEx.svg view
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diagrams/src_Diagrams_TwoD_Shapes_vruleEx.svg view
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src/Diagrams/Align.hs view
@@ -1,7 +1,9 @@-{-# LANGUAGE ConstrainedClassMethods     #-}-{-# LANGUAGE FlexibleContexts     #-}-{-# LANGUAGE TypeFamilies         #-}-{-# LANGUAGE UndecidableInstances #-}+{-# LANGUAGE ConstrainedClassMethods #-}+{-# LANGUAGE ConstraintKinds         #-}+{-# LANGUAGE FlexibleContexts        #-}+{-# LANGUAGE TypeFamilies            #-}+{-# LANGUAGE TypeOperators           #-}+{-# LANGUAGE UndecidableInstances    #-}  ----------------------------------------------------------------------------- -- |@@ -50,7 +52,8 @@  import           Linear.Affine import           Linear.Metric-import           Linear.Vector+import           Linear.Vector        (negated)+import           Linear.Vector.Compat (lerp)  -- | Class of things which can be aligned. class Alignable a where@@ -76,8 +79,8 @@ alignBy'Default :: (InSpace v n a, Fractional n, HasOrigin a)                 => (v n -> a -> Point v n) -> v n -> n -> a -> a alignBy'Default boundary v d a = moveOriginTo (lerp ((d + 1) / 2)-                                                    (boundary v a)                                                     (boundary (negated v) a)+                                                    (boundary v a)                                               ) a {-# ANN alignBy'Default ("HLint: ignore Use camelCase" :: String) #-} @@ -94,7 +97,7 @@   :: (InSpace v n a, Metric v, Ord n, F.Foldable f)   => (v n -> a -> Point v n) -> v n -> f a -> Point v n combineBoundaries b v fa-    = b v $ F.maximumBy (comparing (quadrance . (.-. origin) . b v)) fa+  = b v $ F.maximumBy (comparing (dot v . (.-.origin) . b v)) fa  instance (Metric v, OrderedField n) => Alignable (Envelope v n) where   defaultBoundary = envelopeBoundary
src/Diagrams/Angle.hs view
@@ -1,7 +1,12 @@+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveFunctor              #-}+{-# LANGUAGE FlexibleContexts           #-}+{-# LANGUAGE FlexibleInstances          #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE MultiParamTypeClasses      #-} {-# LANGUAGE RankNTypes                 #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Angle@@ -33,19 +38,26 @@          -- ** Classes        , HasTheta(..)        , HasPhi(..)++         -- * Rotation+       , rotation, rotate        ) where  import           Control.Applicative-import           Control.Lens        (AReview, Iso', Lens', iso, over, review, (^.))+import           Control.Lens            (AReview, Iso', Lens', iso, over,+                                          review, (^.)) import           Data.Fixed-import           Data.Monoid         hiding ((<>))+import           Data.Monoid             hiding ((<>))+import           Data.Monoid.Action import           Data.Semigroup-import           Text.Read import           Prelude+import           Text.Read -import           Diagrams.Core       (OrderedField)+import           Diagrams.Core           (OrderedField)+import           Diagrams.Core.Transform import           Diagrams.Core.V import           Diagrams.Points+import           Linear.V2               (V2 (..))  import           Linear.Metric import           Linear.Vector@@ -197,15 +209,58 @@  infixl 5 @@ --- | Compute the positive angle between the two vectors in their common plane.+-- | Compute the positive angle between the two vectors in their common+--   plane in the [0,pi] range. For a signed angle see+--   'Diagrams.TwoD.Vector.signedAngleBetween'.+-- --   Returns NaN if either of the vectors are zero.-angleBetween  :: (Metric v, Floating n) => v n -> v n -> Angle n-angleBetween v1 v2 = acosA (signorm v1 `dot` signorm v2)+angleBetween  :: (Metric v, Floating n, Ord n) => v n -> v n -> Angle n+angleBetween v1 v2 = acosA (min 1 . max (-1) $ signorm v1 `dot` signorm v2) -- N.B.: Currently discards the common plane information.  -- | Normalize an angle so that it lies in the [0,tau) range. normalizeAngle :: (Floating n, Real n) => Angle n -> Angle n normalizeAngle = over rad (`mod'` (2 * pi))++------------------------------------------------------------+-- Rotation++-- These functions are defined here (instead of in+-- Diagrams.TwoD.Transform) because the Action instance needs to go+-- here.++-- | Create a transformation which performs a rotation about the local+--   origin by the given angle.  See also 'rotate'.+rotation :: Floating n => Angle n -> Transformation V2 n+rotation theta = fromLinear r (linv r)+    where+    c = cosA theta+    s = sinA theta+    r               = rot c s <-> rot c (-s)+    rot co si (V2 x y) = V2 (co * x - si * y)+                            (si * x + co * y)++-- | Rotate about the local origin by the given angle. Positive angles+--   correspond to counterclockwise rotation, negative to+--   clockwise. The angle can be expressed using any of the 'Iso's on+--   'Angle'.  For example, @rotate (1\/4 \@\@ 'turn')@, @rotate+--   (tau\/4 \@\@ rad)@, and @rotate (90 \@\@ deg)@ all+--   represent the same transformation, namely, a counterclockwise+--   rotation by a right angle.  To rotate about some point other than+--   the local origin, see 'rotateAbout'.+--+--   Note that writing @rotate (1\/4)@, with no 'Angle' constructor,+--   will yield an error since GHC cannot figure out which sort of+--   angle you want to use.  In this common situation you can use+--   'rotateBy', which interprets its argument as a number of turns.++rotate :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t+rotate = transform . rotation++-- | Angles act on other things by rotation.+instance (V t ~ V2, N t ~ n, Transformable t, Floating n)+  => Action (Angle n) t where+  act = rotate  ------------------------------------------------------------ -- Polar Coordinates
src/Diagrams/Animation.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE CPP                   #-}+{-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE TypeFamilies          #-}@@ -31,10 +31,6 @@        ) where  import           Data.Active-#if __GLASGOW_HASKELL__ < 710-import           Control.Applicative       ((<$>))-import           Data.Foldable             (foldMap)-#endif import           Data.Semigroup  import           Diagrams.Core@@ -50,7 +46,7 @@  -- | A value of type @QAnimation b v m@ is an animation (a --   time-varying diagram with start and end times) that can be---   rendered by backspace @b@, with vector space @v@ and monoidal+--   rendered by backend @b@, with vector space @v@ and monoidal --   annotations of type @m@. type QAnimation b v n m = Active (QDiagram b v n m) 
src/Diagrams/Animation/Active.hs view
@@ -1,4 +1,3 @@-{-# LANGUAGE CPP          #-} {-# LANGUAGE TypeFamilies #-} {-# OPTIONS_GHC -fno-warn-orphans #-} @@ -37,10 +36,6 @@ -----------------------------------------------------------------------------  module Diagrams.Animation.Active where--#if __GLASGOW_HASKELL__ < 710-import           Control.Applicative (pure, (<$>))-#endif  import           Diagrams.Core import           Diagrams.TrailLike
src/Diagrams/Attributes.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE CPP                        #-}+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE DeriveFunctor              #-} {-# LANGUAGE ExistentialQuantification  #-}@@ -8,6 +8,7 @@ {-# LANGUAGE MultiParamTypeClasses      #-} {-# LANGUAGE ScopedTypeVariables        #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} {-# LANGUAGE ViewPatterns               #-} ----------------------------------------------------------------------------- -- |@@ -55,6 +56,12 @@   , Opacity, _Opacity   , getOpacity, opacity, _opacity +  , FillOpacity, _FillOpacity+  , getFillOpacity, fillOpacity, _fillOpacity++  , StrokeOpacity, _StrokeOpacity+  , getStrokeOpacity, strokeOpacity, _strokeOpacity+   -- ** Converting colors   , colorToSRGBA, colorToRGBA @@ -81,14 +88,11 @@    ) where -#if __GLASGOW_HASKELL__ < 710-import           Control.Applicative-#endif import           Control.Lens          hiding (none, over) import           Data.Colour import           Data.Colour.RGBSpace  (RGB (..)) import           Data.Colour.SRGB      (toSRGB)-import           Data.Default.Class+import           Data.Default import           Data.Distributive import           Data.Monoid.Recommend import           Data.Semigroup@@ -344,6 +348,58 @@ -- | Lens onto the opacity in a style. _opacity :: Lens' (Style v n) Double _opacity = atAttr . mapping _Opacity . non 1++-- fill opacity --------------------------------------------------------++-- | Like 'Opacity', but set the opacity only for fills (as opposed to strokes).+--   As with 'Opacity', the fill opacity is a value between 1+--   (completely opaque, the default) and 0 (completely transparent),+--   and is multiplicative.+newtype FillOpacity = FillOpacity (Product Double)+  deriving (Typeable, Semigroup)+instance AttributeClass FillOpacity++_FillOpacity :: Iso' FillOpacity Double+_FillOpacity = iso getFillOpacity (FillOpacity . Product)++getFillOpacity :: FillOpacity -> Double+getFillOpacity (FillOpacity (Product d)) = d++-- | Multiply the fill opacity (see 'FillOpacity') by the given value.  For+--   example, @fillOpacity 0.8@ means \"decrease this diagram's fill opacity to+--   80% of its previous value\".+fillOpacity :: HasStyle a => Double -> a -> a+fillOpacity = applyAttr . FillOpacity . Product++-- | Lens onto the fill opacity in a style.+_fillOpacity :: Lens' (Style v n) Double+_fillOpacity = atAttr . mapping _FillOpacity . non 1++-- stroke opacity --------------------------------------------------------++-- | Like 'Opacity', but set the opacity only for strokes (as opposed to fills).+--   As with 'Opacity', the fill opacity is a value between 1+--   (completely opaque, the default) and 0 (completely transparent),+--   and is multiplicative.+newtype StrokeOpacity = StrokeOpacity (Product Double)+  deriving (Typeable, Semigroup)+instance AttributeClass StrokeOpacity++_StrokeOpacity :: Iso' StrokeOpacity Double+_StrokeOpacity = iso getStrokeOpacity (StrokeOpacity . Product)++getStrokeOpacity :: StrokeOpacity -> Double+getStrokeOpacity (StrokeOpacity (Product d)) = d++-- | Multiply the stroke opacity (see 'StrokeOpacity') by the given value.  For+--   example, @strokeOpacity 0.8@ means \"decrease this diagram's+--   stroke opacity to 80% of its previous value\".+strokeOpacity :: HasStyle a => Double -> a -> a+strokeOpacity = applyAttr . StrokeOpacity . Product++-- | Lens onto the stroke opacity in a style.+_strokeOpacity :: Lens' (Style v n) Double+_strokeOpacity = atAttr . mapping _StrokeOpacity . non 1  ------------------------------------------------------------------------ -- Line stuff
src/Diagrams/Attributes/Compile.hs view
@@ -2,6 +2,10 @@ {-# LANGUAGE GADTs               #-} {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE TypeFamilies        #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Attributes.Compile@@ -21,8 +25,9 @@  import           Control.Arrow       (second) import           Control.Lens        ((%~), (&), _Wrapping')+import           Data.Kind           (Type) import qualified Data.HashMap.Strict as HM-import           Data.Semigroup      ((<>))+import           Data.Semigroup import           Data.Tree           (Tree (..))  import           Diagrams.Core@@ -35,8 +40,8 @@ -- splitFills; it's done this way to facilitate testing.  class (AttributeClass (AttrType code), Typeable (PrimType code)) => SplitAttribute code where-  type AttrType code :: *-  type PrimType code :: *+  type AttrType code :: Type+  type PrimType code :: Type    primOK :: code -> PrimType code -> Bool 
src/Diagrams/Backend/CmdLine.hs view
@@ -1,4 +1,5 @@-{-# LANGUAGE ConstrainedClassMethods     #-}+{-# LANGUAGE CPP                       #-}+{-# LANGUAGE ConstrainedClassMethods   #-} {-# LANGUAGE DeriveDataTypeable        #-} {-# LANGUAGE FlexibleContexts          #-} {-# LANGUAGE FlexibleInstances         #-}@@ -22,7 +23,7 @@ -- executables. -- -- For a tutorial on command-line diagram creation see--- <http://projects.haskell.org/diagrams/doc/cmdline.html>.+-- <https://diagrams.github.io/doc/cmdline.html>. -- ----------------------------------------------------------------------------- @@ -49,13 +50,6 @@   , diagramAnimOpts   , fpu -    -- ** Loop options-  , DiagramLoopOpts(..)-  , diagramLoopOpts-  , loop-  , src-  , interval-     -- * Parsing   , Parseable(..)   , readHexColor@@ -70,46 +64,36 @@     -- ** helper functions for implementing @mainRender@   , defaultAnimMainRender   , defaultMultiMainRender-  , defaultLoopRender   ) where  import           Control.Lens              (Lens', makeLenses, (&), (.~), (^.)) import           Diagrams.Animation import           Diagrams.Attributes-import           Diagrams.Core             hiding (output, value)-import           Diagrams.Util+import           Diagrams.Core             hiding (output)  import           Options.Applicative import           Options.Applicative.Types (readerAsk) -import           Control.Monad             (forM_, forever, unless, when)+import           Control.Monad             (forM_) +-- MonadFail comes from Prelude in base-4.13 and up+#if !MIN_VERSION_base(4,13,0)+import           Control.Monad.Fail        (MonadFail)+#endif+ import           Data.Active               hiding (interval) import           Data.Char                 (isDigit) import           Data.Colour import           Data.Colour.Names import           Data.Colour.SRGB import           Data.Data-import           Data.IORef-import           Data.List                 (delete)-import           Data.Maybe                (fromMaybe)+import           Data.Functor.Identity+import           Data.Kind                 (Type) import           Data.Monoid import           Numeric -import           Control.Concurrent        (threadDelay)-import           System.Directory          (canonicalizePath)-import           System.Environment        (getArgs, getProgName)-import           System.Exit               (ExitCode (..))-import           System.FilePath           (addExtension, dropExtension,-                                            replaceExtension, splitExtension,-                                            takeDirectory, takeFileName, (</>))-import           System.FSNotify           (WatchConfig (..), defaultConfig,-                                            eventTime, watchDir,-                                            withManagerConf)-import           System.FSNotify.Devel     (existsEvents)-import           System.Info               (os)-import           System.IO                 (hFlush, stdout)-import           System.Process            (readProcessWithExitCode)+import           System.Environment        (getProgName)+import           System.FilePath           (addExtension, splitExtension)  import           Text.Printf @@ -142,15 +126,6 @@  makeLenses ''DiagramAnimOpts --- | Extra options for command-line looping.-data DiagramLoopOpts = DiagramLoopOpts-  { _loop     :: Bool            -- ^ Flag to indicate that the program should loop creation.-  , _src      :: Maybe FilePath  -- ^ File path for the source file to recompile.-  , _interval :: Int             -- ^ Interval in seconds at which to check for recompilation.-  }--makeLenses ''DiagramLoopOpts- -- | Command line parser for 'DiagramOpts'. --   Width is option @--width@ or @-w@. --   Height is option @--height@ or @-h@ (note we change help to be @-?@ due to this).@@ -193,31 +168,21 @@      <> value 30.0      <> help "Frames per unit time (for animations)") --- | CommandLine parser for 'DiagramLoopOpts'---   Loop is @--loop@ or @-l@.---   Source is @--src@ or @-s@.---   Interval is @-i@ defaulting to one second.-diagramLoopOpts :: Parser DiagramLoopOpts-diagramLoopOpts = DiagramLoopOpts-  <$> switch (long "loop" <> short 'l' <> help "Run in a self-recompiling loop")-  <*> (optional . strOption)-      ( long "src" <> short 's'-     <> help "Source file to watch")-  <*> option auto-      ( long "interval" <> short 'i'-     <> value 1-     <> metavar "INTERVAL"-     <> help "When running in a loop, check for changes every INTERVAL seconds.")- -- | A hidden \"helper\" option which always fails. --   Taken from Options.Applicative.Extra but without the --   short option 'h'.  We want the 'h' for Height. helper' :: Parser (a -> a)-helper' = abortOption ShowHelpText $ mconcat+helper' = abortOption param $ mconcat   [ long "help"   , short '?'   , help "Show this help text"   ]+  where+#if MIN_VERSION_optparse_applicative(0,16,0)+    param = ShowHelpText Nothing+#else+    param = ShowHelpText +#endif  -- | Apply a parser to the command line that includes the standard --   program description and help behavior.  Results in parsed commands@@ -271,11 +236,6 @@ instance Parseable DiagramAnimOpts where   parser = diagramAnimOpts --- | Parse 'DiagramLoopOpts' using the 'diagramLoopOpts' parser.-instance Parseable DiagramLoopOpts where-  parser = diagramLoopOpts-- -- | Parse @'Colour' Double@ as either a named color from "Data.Colour.Names" --   or a hexadecimal color. instance Parseable (Colour Double) where@@ -303,7 +263,7 @@ --   example, @\"0xfc4\"@ is the same as @\"0xffcc44\"@.  When eight or six --   digits are given each pair of digits is a color or alpha channel with the --   order being red, green, blue, alpha.-readHexColor :: (Applicative m, Monad m) => String -> m (AlphaColour Double)+readHexColor :: (Applicative m, MonadFail m) => String -> m (AlphaColour Double) readHexColor cs = case cs of   ('0':'x':hs) -> handle hs   ('#':hs)     -> handle hs@@ -348,8 +308,8 @@ --   at once, and a type @'ResultOf' d@ that is the type of the final result from --   some base case instance. class ToResult d where-  type Args d :: *-  type ResultOf d :: *+  type Args d :: Type+  type ResultOf d :: Type    toResult :: d -> Args d -> ResultOf d @@ -423,16 +383,13 @@ class Mainable d where   -- | Associated type that describes the options which need to be parsed   -- from the command-line and passed to @mainRender@.-  type MainOpts d :: *+  type MainOpts d :: Type    -- | This method invokes the command-line parser resulting in an options   -- value or ending the program with an error or help message.   -- Typically the default instance will work.  If a different help message   -- or parsing behavior is desired a new implementation is appropriate.-  ---  -- Note the @d@ argument should only be needed to fix the type @d@.  Its-  -- value should not be relied on as a parameter.-  mainArgs :: Parseable (MainOpts d) => d -> IO (MainOpts d)+  mainArgs :: Parseable (MainOpts d) => proxy d -> IO (MainOpts d)   mainArgs _ = defaultOpts parser    -- | Backend specific work of rendering with the given options and mainable@@ -457,7 +414,7 @@   -- implementation should be used to handle more complex interactions with the user.   mainWith :: Parseable (MainOpts d) => d -> IO ()   mainWith d = do-    opts <- mainArgs d+    opts <- mainArgs (Identity d)     mainRender opts d  -- | This instance allows functions resulting in something that is 'Mainable' to@@ -526,9 +483,8 @@ --   be output for each second (unit time) of animation. -- --   This function requires a lens into the structure that the particular backend---   uses for it's diagram base case.  If @MainOpts (QDiagram b v n Any) ~ DiagramOpts@---   then this lens will simply be 'output'.  For a backend supporting looping---   it will most likely be @_1 . output@.  This lens is required because the+--   uses for its diagram base case.  If @MainOpts (QDiagram b v n Any) ~ DiagramOpts@+--   then this lens will simply be 'output'.  This lens is required because the --   implementation works by modifying the output field and running the base @mainRender@. --   Typically a backend can write its @Animation B V@ instance as --@@ -560,87 +516,3 @@   where fmt         = "%0" ++ show nDigits ++ "d"         output'     = addExtension (base ++ printf fmt i) ext         (base, ext) = splitExtension (opts^.out)--putStrF :: String -> IO ()-putStrF s = putStr s >> hFlush stdout--defaultLoopRender :: DiagramLoopOpts -> IO ()-defaultLoopRender opts = when (opts ^. loop) $ do-  putStrLn "Looping turned on"-  prog <- getProgName-  args <- getArgs--  srcPath <- case opts ^. src of-    Just path -> return path-    Nothing   -> fromMaybe (error nosrc) <$> findHsFile prog-      where-        nosrc = "Unable to find Haskell source file.\n"-             ++ "Specify source file with '-s' or '--src'"-  srcPath' <- canonicalizePath srcPath--  sandbox     <- findSandbox []-  sandboxArgs <- case sandbox of-    Nothing -> return []-    Just sb -> do-      putStrLn ("Using sandbox " ++ takeDirectory sb)-      return ["-package-db", sb]--  let args'       = delete "-l" . delete "--loop" $ args-      newProg     = newProgName (takeFileName srcPath) prog-      timeOfDay   = take 8 . drop 11 . show . eventTime--  -- Polling is only used on Windows-  withManagerConf defaultConfig { confPollInterval = opts ^. interval } $-    \mgr -> do-      lock <- newIORef False--      _ <- watchDir mgr (takeDirectory srcPath') (existsEvents (== srcPath'))-        $ \ev -> do-          running <- atomicModifyIORef lock ((,) True)-          unless running $ do-            putStrF ("Modified " ++ timeOfDay ev ++ " ... ")-            exitCode <- recompile srcPath' newProg sandboxArgs-            -- Call the new program without the looping option-            run newProg args' exitCode-            atomicWriteIORef lock False--      putStrLn $ "Watching source file " ++ srcPath-      putStrLn $ "Compiling target: " ++ newProg-      putStrLn $ "Program args: " ++ unwords args'-      forever . threadDelay $ case os of-         -- https://ghc.haskell.org/trac/ghc/ticket/7325-        "darwin" -> 5000000000000-        _        -> maxBound--recompile :: FilePath -> FilePath -> [String] -> IO ExitCode-recompile srcFile outFile args = do-  let ghcArgs = ["--make", srcFile, "-o", outFile] ++ args-  putStrF "compiling ... "-  (exit, _, stderr) <- readProcessWithExitCode "ghc" ghcArgs ""-  when (exit /= ExitSuccess) $ putStrLn ('\n':stderr)-  return exit---- | On Windows, the next compilation must have a different output---   than the currently running program.-newProgName :: FilePath -> String -> String-newProgName srcFile oldName = case os of-  "mingw32" ->-      if oldName == replaceExtension srcFile "exe"-        then replaceExtension srcFile ".1.exe"-        else replaceExtension srcFile "exe"-  _ -> dropExtension srcFile---- | Run the given program with specified arguments, if and only if---   the previous command returned ExitSuccess.-run :: String -> [String] -> ExitCode -> IO ()-run prog args ExitSuccess = do-  let path = "." </> prog-  putStrF "running ... "-  (exit, stdOut, stdErr) <- readProcessWithExitCode path args ""-  case exit of-    ExitSuccess   -> putStrLn "done."-    ExitFailure r -> do-      putStrLn $ prog ++ " failed with exit code " ++ show r-      unless (null stdOut) $ putStrLn "stdout:" >> putStrLn stdOut-      unless (null stdErr) $ putStrLn "stderr:" >> putStrLn stdErr-run _ _ _ = return ()
src/Diagrams/BoundingBox.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE DeriveFunctor              #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE FlexibleInstances          #-}@@ -38,9 +39,11 @@   , boxExtents, boxCenter   , mCenterPoint, centerPoint   , boxTransform, boxFit-  , contains, contains', boundingBoxQuery+  , contains, contains'   , inside, inside', outside, outside' +  , boxGrid+     -- * Operations on bounding boxes   , union, intersection   ) where@@ -55,7 +58,8 @@ import           Diagrams.Core import           Diagrams.Core.Transform import           Diagrams.Path-import           Diagrams.ThreeD.Shapes+import           Diagrams.Query+import           Diagrams.ThreeD.Shapes  (cube) import           Diagrams.ThreeD.Types import           Diagrams.TwoD.Path      () import           Diagrams.TwoD.Shapes@@ -65,7 +69,8 @@ import           Data.Traversable        as T import           Linear.Affine import           Linear.Metric-import           Linear.Vector+import           Linear.Vector           hiding (lerp)+import           Linear.Vector.Compat    (lerp)  -- Unexported utility newtype @@ -76,7 +81,7 @@ type instance N (NonEmptyBoundingBox v n) = n  fromNonEmpty :: NonEmptyBoundingBox v n -> BoundingBox v n-fromNonEmpty = BoundingBox . Option . Just+fromNonEmpty = BoundingBox . Just  fromMaybeEmpty :: Maybe (NonEmptyBoundingBox v n) -> BoundingBox v n fromMaybeEmpty = maybe emptyBox fromNonEmpty@@ -91,7 +96,7 @@ -- | A bounding box is an axis-aligned region determined by two points --   indicating its \"lower\" and \"upper\" corners.  It can also represent --   an empty bounding box - the points are wrapped in @Maybe@.-newtype BoundingBox v n = BoundingBox (Option (NonEmptyBoundingBox v n))+newtype BoundingBox v n = BoundingBox (Maybe (NonEmptyBoundingBox v n))   deriving (Eq, Functor)  deriving instance (Additive v, Ord n) => Semigroup (BoundingBox v n)@@ -118,8 +123,12 @@     = fromMaybeEmpty     (NonEmptyBoundingBox . mapT (moveOriginTo p) <$> getCorners b) +instance (Additive v, Foldable v, Ord n)+     => HasQuery (BoundingBox v n) Any where+  getQuery bb = Query $ Any . contains bb+ instance (Metric v, Traversable v, OrderedField n)-          => Enveloped (BoundingBox v n) where+     => Enveloped (BoundingBox v n) where   getEnvelope = getEnvelope . getAllCorners  -- Feels like cheating.@@ -130,9 +139,8 @@            . getEnvelope  instance TypeableFloat n => Traced (BoundingBox V3 n) where-  getTrace = getTrace-           . ((`boxFit` cube) . boundingBox :: Envelope V3 n -> D V3 n)-           . getEnvelope+  getTrace bb = foldMap (\tr -> getTrace $ transform tr cube) $+                boxTransform (boundingBox cube) bb  instance (Metric v, Traversable v, OrderedField n) => Alignable (BoundingBox v n) where   defaultBoundary = envelopeP@@ -159,7 +167,7 @@ -- | An empty bounding box.  This is the same thing as @mempty@, but it doesn't --   require the same type constraints that the @Monoid@ instance does. emptyBox :: BoundingBox v n-emptyBox = BoundingBox $ Option Nothing+emptyBox = BoundingBox Nothing  -- | Create a bounding box from a point that is component-wise @(<=)@ than the --   other.  If this is not the case, then @mempty@ is returned.@@ -189,17 +197,17 @@  -- | Queries whether the BoundingBox is empty. isEmptyBox :: BoundingBox v n -> Bool-isEmptyBox (BoundingBox (Option Nothing)) = True+isEmptyBox (BoundingBox Nothing) = True isEmptyBox _                              = False  -- | Gets the lower and upper corners that define the bounding box. getCorners :: BoundingBox v n -> Maybe (Point v n, Point v n)-getCorners (BoundingBox p) = nonEmptyCorners <$> getOption p+getCorners (BoundingBox p) = nonEmptyCorners <$> p  -- | Computes all of the corners of the bounding box. getAllCorners :: (Additive v, Traversable v) => BoundingBox v n -> [Point v n]-getAllCorners (BoundingBox (Option Nothing)) = []-getAllCorners (BoundingBox (Option (Just (NonEmptyBoundingBox (l, u)))))+getAllCorners (BoundingBox Nothing) = []+getAllCorners (BoundingBox (Just (NonEmptyBoundingBox (l, u))))   = T.sequence (liftI2 (\a b -> [a,b]) l u)  -- | Get the size of the bounding box - the vector from the (component-wise)@@ -256,9 +264,6 @@     check (l, h) = F.and (liftI2 (<) l p)                 && F.and (liftI2 (<) p h) -boundingBoxQuery :: (Additive v, Foldable v, Ord n) => BoundingBox v n -> Query v n Any-boundingBoxQuery bb = Query $ Any . contains bb- -- | Test whether the first bounding box is contained inside --   the second. inside :: (Additive v, Foldable v, Ord n) => BoundingBox v n -> BoundingBox v n -> Bool@@ -311,3 +316,19 @@ union :: (Additive v, Ord n) => BoundingBox v n -> BoundingBox v n -> BoundingBox v n union = mappend +-- | @boxGrid f box@ returns a grid of regularly spaced points inside+--   the box, such that there are @(1/f)@ points along each dimension.+--   For example, for a 3D box with corners at (0,0,0) and (2,2,2),+--   @boxGrid 0.1@ would yield a grid of approximately 1000 points (it+--   might actually be @11^3@ instead of @10^3@) spaced @0.2@ units+--   apart.+boxGrid+  :: (Traversable v, Additive v, Num n, Enum n)+  => n -> BoundingBox v n -> [Point v n]+boxGrid f = maybe [] (sequenceA . uncurry (liftI2 mkRange)) . getCorners+  where+    mkRange lo hi = [lo, (1-f)*lo + f*hi .. hi]++    -- liftA2 mkRange on the two corner points creates a (Point V2+    -- [n]), where each component is the range of values for that+    -- dimension.  sequenceA then yields a grid of type [Point V2 n].
src/Diagrams/Combinators.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE Rank2Types            #-}@@ -35,11 +36,13 @@        , cat, cat'        , CatOpts(_catMethod, _sep), catMethod, sep        , CatMethod(..)+       , composeAligned         ) where  import           Control.Lens          hiding (beside, ( # ))-import           Data.Default.Class+import           Data.Default+import           Data.Maybe            (fromJust) import           Data.Monoid.Deletable (toDeletable) import           Data.Monoid.MList     (inj) import           Data.Proxy@@ -49,6 +52,7 @@ import           Diagrams.Core import           Diagrams.Core.Types   (QDiagram (QD)) import           Diagrams.Direction+import           Diagrams.Names        (named) import           Diagrams.Segment      (straight) import           Diagrams.Util @@ -110,7 +114,7 @@ --   to alignment and envelope acts like a 1-dimensional segment --   oriented along the vector @v@, with local origin at its --   center. (Note, however, that it has an empty trace; for 2D struts---   with a nonempty trace see 'strutR2', 'strutX', and 'strutY' from+--   with a nonempty trace see 'strutR2' from --   "Diagrams.TwoD.Combinators".) Useful for manually creating --   separation between two diagrams. --@@ -141,7 +145,7 @@ extrudeEnvelope   :: (Metric v, OrderedField n, Monoid' m)   => v n -> QDiagram b v n m -> QDiagram b v n m-extrudeEnvelope = deformEnvelope 0.5+extrudeEnvelope = deformEnvelope 1  -- | @intrudeEnvelope v d@ asymmetrically \"intrudes\" the envelope of --   a diagram away from the given direction.  All parts of the envelope@@ -153,7 +157,7 @@ intrudeEnvelope   :: (Metric v, OrderedField n, Monoid' m)   => v n -> QDiagram b v n m -> QDiagram b v n m-intrudeEnvelope = deformEnvelope (-0.5)+intrudeEnvelope = deformEnvelope (-1)  -- Utility for extrudeEnvelope / intrudeEnvelope deformEnvelope@@ -161,9 +165,9 @@   => n -> v n -> QDiagram b v n m -> QDiagram b v n m deformEnvelope s v = over (envelope . _Wrapping Envelope) deformE   where-    deformE = Option . fmap deformE' . getOption+    deformE = fmap deformE'     deformE' env v'-        | dp > 0 = Max $ getMax (env v') + (dp * s) / norm v'+        | dp > 0    = Max $ getMax (env v') + (dp * s) / quadrance v'         | otherwise = env v'       where         dp = v' `dot` v@@ -351,3 +355,45 @@  cat' v (CatOpts { _catMethod = Distrib, _sep = s }) =   position . zip (iterate (.+^ (s *^ signorm v)) origin)++-- | Compose a list of diagrams using the given composition function,+--   first aligning them all according to the given alignment, /but/+--   retain the local origin of the first diagram, as it would be if+--   the composition function were applied directly.  That is,+--   @composeAligned algn comp@ is equivalent to @translate v . comp+--   . map algn@ for some appropriate translation vector @v@.+--+--   Unfortunately, this only works for diagrams (and not, say, paths)+--   because there is no most general type for alignment functions,+--   and no generic way to find out what an alignment function does to+--   the origin of things.  (However, it should be possible to make a+--   version of this function that works /specifically/ on paths, if+--   such a thing were deemed useful.)+--+--   <<diagrams/src_Diagrams_Combinators_alignedEx1.svg#diagram=alignedEx1&width=400>>+--+--   > alignedEx1 = (hsep 2 # composeAligned alignT) (map circle [1,3,5,2])+--   >            # showOrigin+--   >            # frame 0.5+--+--   <<diagrams/src_Diagrams_Combinators_alignedEx2.svg#diagram=alignedEx2&width=400>>+--+--   > alignedEx2 = (mconcat # composeAligned alignTL) [circle 1, square 1, triangle 1, pentagon 1]+--   >            # showOrigin+--   >            # frame 0.1+composeAligned+  :: (Monoid' m, Floating n, Ord n, Metric v)+  => (QDiagram b v n m -> QDiagram b v n m)    -- ^ Alignment function+  -> ([QDiagram b v n m] -> QDiagram b v n m)  -- ^ Composition function+  -> ([QDiagram b v n m] -> QDiagram b v n m)+composeAligned _ combine [] = combine []+composeAligned algn comb (d:ds) = (comb $ map algn (d:ds)) # moveOriginTo l+  where+    mss = ( (() .>> d)   -- qualify first to avoid stomping on an existing () name+          # named ()     -- Mark the origin+          # algn         -- Apply the alignment function+          )+          -- then find out what happened to the origin+        ^. subMap . _Wrapped . Control.Lens.at (toName ())+    l   = location . head . fromJust $ mss+          -- the fromJust is Justified since we put the () name in
src/Diagrams/Coordinates.hs view
@@ -19,8 +19,8 @@     )     where +import           Data.Kind       (Type) import           Diagrams.Points- import           Linear          (V2 (..), V3 (..), V4 (..))  -- | Types which are instances of the @Coordinates@ class can be@@ -36,13 +36,13 @@ class Coordinates c where    -- | The type of the final coordinate.-  type FinalCoord c    :: *+  type FinalCoord c    :: Type    -- | The type of everything other than the final coordinate.-  type PrevDim c       :: *+  type PrevDim c       :: Type    -- | Decomposition of @c@ into applications of ':&'.-  type Decomposition c :: *+  type Decomposition c :: Type     -- Decomposition c = Decomposition (PrevDim c) :& FinalCoord c  (essentially)    -- | Construct a value of type @c@ by providing something of one
src/Diagrams/CubicSpline.hs view
@@ -1,6 +1,10 @@+{-# LANGUAGE ConstraintKinds  #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE TypeFamilies     #-}+{-# LANGUAGE TypeOperators    #-}+ {-# OPTIONS_GHC -fno-warn-incomplete-patterns #-}+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.CubicSpline@@ -8,24 +12,35 @@ -- License     :  BSD-style (see LICENSE) -- Maintainer  :  diagrams-discuss@googlegroups.com ----- A /cubic spline/ is a smooth, connected sequence of cubic curves--- passing through a given sequence of points.  This module provides--- the 'cubicSpline' method, which can be used to create closed or--- open cubic splines from a list of points.  For access to the--- internals of the spline generation algorithm (including in--- particular a solver for cyclic tridiagonal systems of linear--- equations), see "Diagrams.CubicSpline.Internal".+-- A /cubic spline/ is a smooth, connected sequence of cubic curves.+-- This module provides two methods for constructing splines. --+-- The 'cubicSpline' method can be used to create closed or open cubic+-- splines from a list of points. The resulting splines /pass through/+-- all the control points, but depend on the control points in a+-- "global" way (that is, changing one control point may alter the+-- entire curve).  For access to the internals of the spline+-- generation algorithm, see "Diagrams.CubicSpline.Internal".+--+-- 'bspline' creates a cubic B-spline, which starts and ends at the+-- first and last control points, but does not necessarily pass+-- through any of the other control points.  It depends on the control+-- points in a "local" way, that is, changing one control point will+-- only affect a local portion of the curve near that control point.+-- ----------------------------------------------------------------------------- module Diagrams.CubicSpline        (          -- * Constructing paths from cubic splines          cubicSpline+       , BSpline+       , bspline        ) where  import           Control.Lens                  (view)  import           Diagrams.Core+import           Diagrams.CubicSpline.Boehm import           Diagrams.CubicSpline.Internal import           Diagrams.Located              (Located, at, mapLoc) import           Diagrams.Segment
+ src/Diagrams/CubicSpline/Boehm.hs view
@@ -0,0 +1,149 @@+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE TypeFamilies     #-}+{-# LANGUAGE TypeOperators    #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Diagrams.CubicSpline.Boehm+-- Copyright   :  (c) 2015 diagrams-lib team (see LICENSE)+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  diagrams-discuss@googlegroups.com+--+-- Boehm's algorithm for converting a cubic B-spline into a sequence+-- of cubic Bezier curves.+--+-- See+--+--   * Thomas W. Sederberg, /An Introduction to B-Spline Curves/,+--     <http://web.archive.org/web/20120227050519/http://tom.cs.byu.edu/~455/bs.pdf>+--+--   * Lyle Ramshaw, /Blossoming: A Connect-the-Dots Approach to Splines/,+--     <http://www.hpl.hp.com/techreports/Compaq-DEC/SRC-RR-19.pdf>+--+-----------------------------------------------------------------------------+module Diagrams.CubicSpline.Boehm+       ( BSpline+       , bsplineToBeziers+       , bspline+       ) where++import           Data.List          (sort, tails)+import           Diagrams.Core      (N, Point, V, origin)+import           Diagrams.Located   (at, loc, unLoc)+import           Diagrams.Segment   (FixedSegment (..), fromFixedSeg)+import           Diagrams.TrailLike (TrailLike, fromLocSegments)+import           Diagrams.Util      (iterateN)+import           Linear.Vector      (Additive)+import           Linear.Vector.Compat (lerp)++type BSpline v n = [Point v n]++-- | @affineCombo a b t x y@ computes an affine combination of x and y+--   which lies at parameter t, if x has parameter a and y has parameter b.+--   The usual @lerp@ arises by giving x parameter 0 and y parameter 1.+affineCombo :: (Additive f, Fractional a) => a -> a -> a -> f a -> f a -> f a+affineCombo a b t = lerp ((t-a)/(b-a))++-- | @windows k xs@ yields all the length-@k@ windows from @xs@, e.g.+--   @windows 3 [a,b,c,d,e] == [[a,b,c], [b,c,d], [c,d,e]]@.+windows :: Int -> [a] -> [[a]]+windows k = takeWhile ((==k) . length) . map (take k) . tails++-- | @extend k xs@ extends @xs@ on both ends by prepending @k@ copies+-- of its head and appending @k@ copies of its last element.  For example,+-- @extend 2 [1..5] == [1,1,1,2,3,4,5,5,5]@.+extend :: Int -> [a] -> [a]+extend k xs = replicate k (head xs) ++ xs ++ replicate k (last xs)++-- | A "polar point" is a point along with three knot values.+--   We consider the "blossom" of a cubic spline, a 3-ary symmetric+--   polynomial; a polar point consists of 3 values paired with the+--   output of the blossom at those input values.  Blossoms have nice+--   affine properties so this makes it easy to keep track of how+--   points may be combined to yield other points of interest.+--+--   Invariant: knot values are in nondecreasing order.+data PolarPt v n = PP { unPP :: Point v n, _knots :: [n] }++mkPolarPt :: Ord n => Point v n -> [n] -> PolarPt v n+mkPolarPt pt kts = PP pt (sort kts)++-- | Precondition: the knots of the two polar points overlap, like abc+--   and bcd.  The @Int@ should be 0 or 1, indicating which knot to+--   replicate (0 means to replicate b, yielding bbc, 1 means to+--   replicate c, yielding bcc).+combine+  :: (Additive v, Fractional n, Ord n)+  => Int -> PolarPt v n -> PolarPt v n -> PolarPt v n+combine k (PP pt1 kts1) (PP pt2 kts2)+  = mkPolarPt+      (affineCombo (head kts1) (last kts2) newKt pt1 pt2)+      (newKt : drop 1 kts1)+  where+    newKt = kts2 !! k++-- | Convert a uniform cubic B-spline to a sequence of cubic beziers.+--   (/Uniform/ refers to the fact that the knots are assumed to be+--   evenly spaced, with no duplicates.)  The knots at the end are+--   replicated so the cubic spline begins and ends at the first and+--   last control points, tangent to the line from the end control+--   point to the next.+bsplineToBeziers+  :: (Additive v, Fractional n, Num n, Ord n)+  => BSpline v n+  -> [FixedSegment v n]+bsplineToBeziers controls = beziers+  where+    n                            = length controls+    numKnots                     = n + 2+    knots                        = iterateN numKnots (+1/(fromIntegral numKnots - 1)) 0++    -- The control points are P(a,b,c), P(b,c,d), P(c,d,e), and so on.+    controls' = zipWith mkPolarPt (extend 2 controls) (windows 3 $ extend 2 knots)++    -- The bezier internal control points are affine combinations of+    -- the spline control points.+    bezierControls        = map combineC (windows 2 controls')+    combineC [pabc, pbcd] = (combine 0 pabc pbcd, combine 1 pabc pbcd)+    combineC _ = error "combineC must be called on a list of length 2"++    -- The bezier end points are affine combinations of the bezier+    -- control points.+    bezierEnds                   = map combineE (windows 2 bezierControls)+    combineE [(_,pabb),(pbbc,_)] = combine 0 pabb pbbc+    combineE _ = error "combineE must be called on a list of length 2"++    -- Finally, we actually put together the generated bezier segments.+    beziers                      = zipWith mkBezier (drop 1 bezierControls) (windows 2 bezierEnds)+      where+        mkBezier (paab,pabb) [paaa,pbbb]+          = FCubic (unPP paaa) (unPP paab) (unPP pabb) (unPP pbbb)+        mkBezier _ _ = error "mkBezier must be called on a list of length 2"++    -- Note that the above algorithm works in any dimension but is+    -- very specific to *cubic* splines.  This can of course be+    -- generalized to higher degree splines but keeping track of+    -- everything gets a bit more complicated; to be honest I am not+    -- quite sure how to do it.++-- | Generate a uniform cubic B-spline from the given control points.+--   The spline starts and ends at the first and last control points,+--   and is tangent to the line to the second(-to-last) control point.+--   It does not necessarily pass through any of the other control+--   points.+--+--   <<diagrams/src_Diagrams_CubicSpline_Boehm_bsplineEx.svg#diagram=bsplineEx&width=300>>+--+--   > pts = map p2 [(0,0), (2,3), (5,-2), (-4,1), (0,3)]+--   > spot = circle 0.2 # fc blue # lw none+--   > bsplineEx = mconcat+--   >   [ position (zip pts (repeat spot))+--   >   , bspline pts+--   >   ]+--   >   # frame 0.5++bspline :: (TrailLike t, V t ~ v, N t ~ n) => BSpline v n -> t+bspline = fromLocSegments . fixup . map fromFixedSeg . bsplineToBeziers+  where+    fixup []        = [] `at` origin+    fixup (b1:rest) = (unLoc b1 : map unLoc rest) `at` loc b1
src/Diagrams/Deform.hs view
@@ -1,8 +1,10 @@+{-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE FlexibleInstances     #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE ScopedTypeVariables   #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE UndecidableInstances  #-}  module Diagrams.Deform
src/Diagrams/Direction.hs view
@@ -1,6 +1,7 @@ {-# LANGUAGE DeriveFunctor        #-} {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE TypeFamilies         #-}+{-# LANGUAGE TypeOperators        #-} {-# LANGUAGE UndecidableInstances #-} ----------------------------------------------------------------------------- -- |@@ -27,8 +28,8 @@ import           Diagrams.Core  import           Linear.Affine-import           Linear.Vector import           Linear.Metric+import           Linear.Vector  -------------------------------------------------------------------------------- -- Direction@@ -76,11 +77,10 @@ fromDir (Dir v) = signorm v  -- | compute the positive angle between the two directions in their common plane-angleBetweenDirs :: (Metric v, Floating n)+angleBetweenDirs :: (Metric v, Floating n, Ord n)   => Direction v n -> Direction v n -> Angle n angleBetweenDirs d1 d2 = angleBetween (fromDirection d1) (fromDirection d2) --- | @dirBetween p q@ returns the directions from @p@ to @q@+-- | @dirBetween p q@ returns the direction from @p@ to @q@. dirBetween :: (Additive v, Num n) => Point v n -> Point v n -> Direction v n-dirBetween p q = dir $ p .-. q-+dirBetween p q = dir $ q .-. p
src/Diagrams/LinearMap.hs view
@@ -6,7 +6,9 @@ {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE RankNTypes            #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE UndecidableInstances  #-}+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.LinearMap
src/Diagrams/Located.hs view
@@ -1,8 +1,10 @@-{-# LANGUAGE CPP                   #-}+{-# LANGUAGE ConstraintKinds       #-}+{-# LANGUAGE DeriveGeneric         #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE StandaloneDeriving    #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE UndecidableInstances  #-} ----------------------------------------------------------------------------- -- |@@ -26,18 +28,19 @@     where  import           Control.Lens            (Lens, Lens')-#if __GLASGOW_HASKELL__ < 710-import           Data.Functor            ((<$>))-#endif import           Text.Read  import           Linear.Affine import           Linear.Vector +import           Diagrams.Align import           Diagrams.Core import           Diagrams.Core.Transform import           Diagrams.Parametric +import           Data.Serialize          (Serialize)+import           GHC.Generics            (Generic)+ -- | \"Located\" things, /i.e./ things with a concrete location: --   intuitively, @Located a ~ (Point, a)@.  Wrapping a translationally --   invariant thing (/e.g./ a 'Segment' or 'Trail') in 'Located' pins@@ -62,8 +65,10 @@                                 --   a @Located a@,                                 --   discarding the                                 --   location.-      }+      } deriving (Generic) +instance (Serialize a, Serialize (V a (N a))) => Serialize (Located a)+ infix 5 `at`  -- | Construct a @Located a@ from a value of type @a@ and a location.@@ -144,6 +149,9 @@ instance (Traced a, Num (N a)) => Traced (Located a) where   getTrace (Loc p a) = moveTo p (getTrace a) +instance Alignable a => Alignable (Located a) where+  defaultBoundary v = defaultBoundary v . unLoc+ instance Qualifiable a => Qualifiable (Located a) where   n .>> Loc p a = Loc p (n .>> a) @@ -163,6 +171,8 @@     => Sectionable (Located a) where   splitAtParam (Loc x a) p = (Loc x a1, Loc (x .+^ (a `atParam` p)) a2)     where (a1,a2) = splitAtParam a p++  section (Loc x a) p1 p2 = Loc (x .+^ (a `atParam` p1)) (section a p1 p2)    reverseDomain (Loc x a) = Loc (x .+^ y) (reverseDomain a)     where y = a `atParam` domainUpper a
src/Diagrams/Names.hs view
@@ -1,4 +1,10 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE MonoLocalBinds   #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Names
src/Diagrams/Parametric.hs view
@@ -22,12 +22,13 @@    ) where +import           Data.Kind (Type) import           Diagrams.Core.V import qualified Numeric.Interval.Kaucher as I  -- | Codomain of parametric classes.  This is usually either @(V p)@, for relative --   vector results, or @(Point (V p))@, for functions with absolute coordinates.-type family Codomain p :: * -> *+type family Codomain p :: Type -> Type  -- | Type class for parametric functions. class Parametric p where@@ -55,7 +56,7 @@   --   with numeric scalars).   domainUpper :: p -> N p -  default domainUpper :: Num n => p -> n+  default domainUpper :: Num (N p) => p -> N p   domainUpper = const 1  -- | Type class for querying the values of a parametric object at the
src/Diagrams/Parametric/Adjust.hs view
@@ -1,6 +1,7 @@ {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE TemplateHaskell      #-} {-# LANGUAGE TypeFamilies         #-}+{-# LANGUAGE TypeOperators        #-} {-# LANGUAGE UndecidableInstances #-} ----------------------------------------------------------------------------- -- |@@ -25,7 +26,7 @@                                       (.~), (^.)) import           Data.Proxy -import           Data.Default.Class+import           Data.Default  import           Diagrams.Core.V import           Diagrams.Parametric
src/Diagrams/Path.hs view
@@ -1,7 +1,6 @@-{-# LANGUAGE CPP                        #-}-#if __GLASGOW_HASKELL__ >= 707+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-}-#endif+{-# LANGUAGE DeriveGeneric              #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE FlexibleInstances          #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-}@@ -9,8 +8,13 @@ {-# LANGUAGE ScopedTypeVariables        #-} {-# LANGUAGE StandaloneDeriving         #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} {-# LANGUAGE UndecidableInstances       #-} {-# LANGUAGE ViewPatterns               #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Path@@ -62,10 +66,10 @@         ) where -import           Control.Arrow        ((***))-import           Control.Lens         hiding ((#), transform, at)-import qualified Data.Foldable        as F-import           Data.List            (partition)+import           Control.Arrow      ((***))+import           Control.Lens       hiding (at, transform, ( # ))+import qualified Data.Foldable      as F+import           Data.List          (partition) import           Data.Semigroup import           Data.Typeable @@ -81,6 +85,9 @@ import           Linear.Metric import           Linear.Vector +import           Data.Serialize     (Serialize)+import           GHC.Generics       (Generic)+ ------------------------------------------------------------ --  Paths  ------------------------------------------------- ------------------------------------------------------------@@ -90,23 +97,13 @@ --   and they form a monoid under /superposition/ (placing one path on --   top of another) rather than concatenation. newtype Path v n = Path [Located (Trail v n)]-  deriving (Semigroup, Monoid-#if __GLASGOW_HASKELL__ >= 707+  deriving (Semigroup, Monoid, Generic   , Typeable-#endif   ) -#if __GLASGOW_HASKELL__ < 707--- This should really be Typeable2 Path but since Path has kind---   (* -> *) -> * -> *--- not---   * -> * -> *--- we can only do Typeable1 (Path v). This is why the instance cannot be--- derived.-instance forall v. Typeable1 v => Typeable1 (Path v) where-  typeOf1 _ = mkTyConApp (mkTyCon3 "diagrams-lib" "Diagrams.Path" "Path") [] `mkAppTy`-              typeOf1 (undefined :: v n)-#endif+-- instance (OrderedField n, Metric v, Serialize (v n), Serialize (V n (N n))) =>+instance (OrderedField n, Metric v, Serialize (v n), Serialize (V (v n) (N (v n)))) =>+  Serialize (Path v n)  instance Wrapped (Path v n) where   type Unwrapped (Path v n) = [Located (Trail v n)]@@ -188,6 +185,9 @@  instance ToPath (Trail v n) where   toPath = pathFromTrail++instance ToPath (Trail' l v n) where+  toPath t = Path [Trail t `at` origin]  instance ToPath (Located (Trail v n)) where   toPath = pathFromLocTrail
src/Diagrams/Points.hs view
@@ -29,8 +29,11 @@ import           Linear.Vector  -- | The centroid of a set of /n/ points is their sum divided by /n/.+--   Returns the origin for an empty list of points. centroid :: (Additive v, Fractional n) => [Point v n] -> Point v n-centroid = meanV+centroid [] = origin+centroid ps = meanV ps+{-# INLINE centroid #-}  meanV :: (Foldable f, Additive v, Fractional a) => f (v a) -> v a meanV = uncurry (^/) . F.foldl' (\(s,c) e -> (e ^+^ s,c+1)) (zero,0)
src/Diagrams/Prelude.hs view
@@ -22,7 +22,7 @@      -- | For working with default values. Diagrams also exports 'with',     --   an alias for 'def'.-  , module Data.Default.Class+  , module Data.Default      -- | For representing and operating on colors.   , module Data.Colour@@ -97,7 +97,7 @@ import           Data.Colour         hiding (AffineSpace (..), atop, over) import           Data.Colour.Names   hiding (tan) import           Data.Colour.SRGB-import           Data.Default.Class+import           Data.Default import           Data.Semigroup  import           Linear.Affine
src/Diagrams/Query.hs view
@@ -1,3 +1,7 @@+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-} ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Query@@ -12,9 +16,78 @@ -----------------------------------------------------------------------------  module Diagrams.Query-    ( Query(..), query, sample, value, resetValue, clearValue+  ( -- * Queries+    Query(..)+  , HasQuery (..)+  , sample+  , inquire -    ) where+    -- ** Queries on diagrams+  , query+  , value+  , resetValue+  , clearValue+  ) where +import           Data.Monoid+ import           Diagrams.Core++-- | Types which can answer a 'Query' about points inside the geometric+--   object.+--+--   If @t@ and @m@ are both a 'Semigroup's, 'getQuery' should satisfy+--+-- @+-- 'getQuery' (t1 <> t2) = 'getQuery' t1 <> 'getQuery' t2+-- @+class HasQuery t m | t -> m where+  -- | Extract the query of an object.+  getQuery :: t -> Query (V t) (N t) m++instance HasQuery (Query v n m) m where+  getQuery = id++instance Monoid m => HasQuery (QDiagram b v n m) m where+  getQuery = query++-- | Test if a point is not equal to 'mempty'.+--+-- @+-- 'inquire' :: 'QDiagram' b v n 'Any' -> 'Point' v n -> 'Bool'+-- 'inquire' :: 'Query' v n 'Any'      -> 'Point' v n -> 'Bool'+-- 'inquire' :: 'Diagrams.BoundingBox.BoundingBox' v n  -> 'Point' v n -> 'Bool'+-- @+inquire :: HasQuery t Any => t -> Point (V t) (N t) -> Bool+inquire t = getAny . sample t++-- | Sample a diagram's query function at a given point.+--+-- @+-- 'sample' :: 'QDiagram' b v n m -> 'Point' v n -> m+-- 'sample' :: 'Query' v n m      -> 'Point' v n -> m+-- 'sample' :: 'Diagrams.BoundingBox.BoundingBox' v n  -> 'Point' v n -> 'Any'+-- 'sample' :: 'Diagrams.Path.Path' 'V2' 'Double'   -> 'Point' v n -> 'Diagrams.TwoD.Path.Crossings'+-- @+sample :: HasQuery t m => t -> Point (V t) (N t) -> m+sample = runQuery . getQuery++-- | Set the query value for 'True' points in a diagram (/i.e./ points+--   \"inquire\" the diagram); 'False' points will be set to 'mempty'.+value :: Monoid m => m -> QDiagram b v n Any -> QDiagram b v n m+value m = fmap fromAny+  where fromAny (Any True)  = m+        fromAny (Any False) = mempty++-- | Reset the query values of a diagram to @True@/@False@: any values+--   equal to 'mempty' are set to 'False'; any other values are set to+--   'True'.+resetValue :: (Eq m, Monoid m) => QDiagram b v n m -> QDiagram b v n Any+resetValue = fmap toAny+  where toAny m | m == mempty = Any False+                | otherwise   = Any True++-- | Set all the query values of a diagram to 'False'.+clearValue :: QDiagram b v n m -> QDiagram b v n Any+clearValue = fmap (const (Any False)) 
src/Diagrams/Segment.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE BangPatterns               #-} {-# LANGUAGE DeriveFunctor              #-} {-# LANGUAGE EmptyDataDecls             #-}@@ -74,7 +75,8 @@  import           Linear.Affine import           Linear.Metric-import           Linear.Vector+import           Linear.Vector             hiding (lerp)+import           Linear.Vector.Compat      (lerp)  import           Control.Applicative import           Diagrams.Core             hiding (Measured)@@ -82,6 +84,8 @@ import           Diagrams.Parametric import           Diagrams.Solve.Polynomial +import           Data.Serialize            (Serialize)+import qualified Data.Serialize            as Serialize  ------------------------------------------------------------ --  Open/closed type tags  ---------------------------------@@ -305,16 +309,16 @@   splitAtParam (Linear (OffsetClosed x1)) t = (left, right)     where left  = straight p           right = straight (x1 ^-^ p)-          p = lerp t x1 zero+          p = lerp t zero x1   splitAtParam (Cubic c1 c2 (OffsetClosed x2)) t = (left, right)     where left  = bezier3 a b e           right = bezier3 (c ^-^ e) (d ^-^ e) (x2 ^-^ e)-          p = lerp t c2 c1-          a = lerp t c1 zero-          b = lerp t p a-          d = lerp t x2 c2-          c = lerp t d p-          e = lerp t c b+          p = lerp t c1 c2+          a = lerp t zero c1+          b = lerp t a p+          d = lerp t c2 x2+          c = lerp t p d+          e = lerp t b c    reverseDomain = reverseSegment @@ -323,6 +327,11 @@ reverseSegment (Linear (OffsetClosed v))       = straight (negated v) reverseSegment (Cubic c1 c2 (OffsetClosed x2)) = bezier3 (c2 ^-^ x2) (c1 ^-^ x2) (negated x2) +-- Imitates I.elem for intervals<0.8 and I.member for intervals>=0.8+member :: Ord a => a -> I.Interval a -> Bool+member x (I.I a b) = x >= a && x <= b+{-# INLINE member #-}+ instance (Metric v, OrderedField n)       => HasArcLength (Segment Closed v n) where @@ -337,9 +346,9 @@   arcLengthToParam m s _ | arcLength m s == 0 = 0.5   arcLengthToParam m s@(Linear {}) len = len / arcLength m s   arcLengthToParam m s@(Cubic {})  len-    | len `I.elem` I (-m/2) (m/2) = 0+    | len `member` I (-m/2) (m/2) = 0     | len < 0              = - arcLengthToParam m (fst (splitAtParam s (-1))) (-len)-    | len `I.elem` slen    = 1+    | len `member` slen    = 1     | len > I.sup slen     = 2 * arcLengthToParam m (fst (splitAtParam s 2)) len     | len < I.sup llen     = (*0.5) $ arcLengthToParam m l len     | otherwise            = (+0.5) . (*0.5)@@ -363,7 +372,7 @@ --   the absolute locations of the vertices and control points. data FixedSegment v n = FLinear (Point v n) (Point v n)                       | FCubic (Point v n) (Point v n) (Point v n) (Point v n)-  deriving Show+  deriving (Eq, Ord, Show)  type instance V (FixedSegment v n) = v type instance N (FixedSegment v n) = n@@ -418,16 +427,16 @@ type instance Codomain (FixedSegment v n) = Point v  instance (Additive v, Num n) => Parametric (FixedSegment v n) where-  atParam (FLinear p1 p2) t = lerp t p2 p1+  atParam (FLinear p1 p2) t = lerp t p1 p2   atParam (FCubic x1 c1 c2 x2) t = p3-    where p11 = lerp t c1 x1-          p12 = lerp t c2 c1-          p13 = lerp t x2 c2+    where p11 = lerp t x1 c1+          p12 = lerp t c1 c2+          p13 = lerp t c2 x2 -          p21 = lerp t p12 p11-          p22 = lerp t p13 p12+          p21 = lerp t p11 p12+          p22 = lerp t p12 p13 -          p3  = lerp t p22 p21+          p3  = lerp t p21 p22  instance Num n => DomainBounds (FixedSegment v n) @@ -441,19 +450,19 @@   splitAtParam (FLinear p0 p1) t = (left, right)     where left  = FLinear p0 p           right = FLinear p  p1-          p = lerp t p1 p0+          p = lerp t p0 p1   splitAtParam (FCubic p0 c1 c2 p1) t = (left, right)     where left  = FCubic p0 a b cut           right = FCubic cut c d p1           -- first round-          a   = lerp t c1 p0-          p   = lerp t c2 c1-          d   = lerp t p1 c2+          a   = lerp t p0 c1+          p   = lerp t c1 c2+          d   = lerp t c2 p1           -- second round-          b   = lerp t p a-          c   = lerp t d p+          b   = lerp t a p+          c   = lerp t p d           -- final round-          cut = lerp t c b+          cut = lerp t b c    reverseDomain (FLinear p0 p1) = FLinear p1 p0   reverseDomain (FCubic p0 c1 c2 p1) = FCubic p1 c2 c1 p0@@ -580,3 +589,48 @@              *: () +------------------------------------------------------------+--  Serialize instances+------------------------------------------------------------++instance (Serialize (v n)) => Serialize (Segment Open v n) where+  {-# INLINE put #-}+  put segment = case segment of+    Linear OffsetOpen    -> Serialize.put True+    Cubic v w OffsetOpen -> do+      Serialize.put False+      Serialize.put v+      Serialize.put w++  {-# INLINE get #-}+  get = do+    isLinear <- Serialize.get+    case isLinear of+      True  -> return (Linear OffsetOpen)+      False -> do+        v <- Serialize.get+        w <- Serialize.get+        return (Cubic v w OffsetOpen)++instance (Serialize (v n)) => Serialize (Segment Closed v n) where+  {-# INLINE put #-}+  put segment = case segment of+    Linear (OffsetClosed z)    -> do+      Serialize.put z+      Serialize.put True+    Cubic v w (OffsetClosed z) -> do+      Serialize.put z+      Serialize.put False+      Serialize.put v+      Serialize.put w++  {-# INLINE get #-}+  get = do+    z <- Serialize.get+    isLinear <- Serialize.get+    case isLinear of+      True  -> return (Linear (OffsetClosed z))+      False -> do+        v <- Serialize.get+        w <- Serialize.get+        return (Cubic v w (OffsetClosed z))
src/Diagrams/Size.hs view
@@ -1,7 +1,5 @@-{-# LANGUAGE CPP                        #-}-#if __GLASGOW_HASKELL__ >= 707+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-}-#endif {-# LANGUAGE DeriveFunctor              #-} {-# LANGUAGE DeriveGeneric              #-} {-# LANGUAGE FlexibleContexts           #-}@@ -45,18 +43,18 @@   ) where  import           Control.Applicative-import           Control.Lens        hiding (transform)+import           Control.Lens         hiding (transform) import           Control.Monad-import           Data.Foldable       as F+import           Data.Foldable        as F import           Data.Hashable-import           Data.Semigroup import           Data.Maybe+import           Data.Semigroup import           Data.Typeable-import           GHC.Generics        (Generic)+import           GHC.Generics         (Generic) import           Prelude -import           Diagrams.Core import           Diagrams.BoundingBox+import           Diagrams.Core  import           Linear.Affine import           Linear.Vector@@ -69,19 +67,12 @@ --   the dimensions. newtype SizeSpec v n = SizeSpec (v n)   deriving (-#if __GLASGOW_HASKELL__ >= 707+  Eq,   Typeable,-#endif   Functor,   Generic,   Hashable,   Show)--#if __GLASGOW_HASKELL__ < 707-instance forall v. Typeable1 v => Typeable1 (SizeSpec v) where-  typeOf1 _ = mkTyConApp (mkTyCon3 "diagrams-lib" "Diagrams.Size" "Size") [] `mkAppTy`-              typeOf1 (undefined :: v n)-#endif  type instance V (SizeSpec v n) = v type instance N (SizeSpec v n) = n
src/Diagrams/Tangent.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE GADTs                #-} -- for ghc < 7.8, TypeFamilies covers GADT patten mathcing in > 7.8 {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE FlexibleInstances    #-}
src/Diagrams/ThreeD.hs view
@@ -4,7 +4,7 @@ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.ThreeD--- Copyright   :  (c) 2013 diagrams-lib team (see LICENSE)+-- Copyright   :  (c) 2013-2015 diagrams-lib team (see LICENSE) -- License     :  BSD-style (see LICENSE) -- Maintainer  :  diagrams-discuss@googlegroups.com --@@ -40,17 +40,16 @@ --     highlights. ----------------------------------------------------------------------------- module Diagrams.ThreeD-       (-         module Diagrams.ThreeD.Align-       , module Diagrams.ThreeD.Attributes-       , module Diagrams.ThreeD.Camera-       , module Diagrams.ThreeD.Deform-       , module Diagrams.ThreeD.Light-       , module Diagrams.ThreeD.Shapes-       , module Diagrams.ThreeD.Transform-       , module Diagrams.ThreeD.Types-       , module Diagrams.ThreeD.Vector-       ) where+  ( module Diagrams.ThreeD.Align+  , module Diagrams.ThreeD.Attributes+  , module Diagrams.ThreeD.Camera+  , module Diagrams.ThreeD.Deform+  , module Diagrams.ThreeD.Light+  , module Diagrams.ThreeD.Shapes+  , module Diagrams.ThreeD.Transform+  , module Diagrams.ThreeD.Types+  , module Diagrams.ThreeD.Vector+  ) where  import           Diagrams.ThreeD.Align import           Diagrams.ThreeD.Attributes@@ -61,4 +60,3 @@ import           Diagrams.ThreeD.Transform import           Diagrams.ThreeD.Types import           Diagrams.ThreeD.Vector-
src/Diagrams/ThreeD/Align.hs view
@@ -1,4 +1,6 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE TypeFamilies    #-}+{-# LANGUAGE TypeOperators   #-}  ----------------------------------------------------------------------------- -- |
src/Diagrams/ThreeD/Attributes.hs view
@@ -1,9 +1,9 @@ {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE MultiParamTypeClasses      #-} {-# LANGUAGE TemplateHaskell            #-} {-# LANGUAGE TypeFamilies               #-}-{-# LANGUAGE MultiParamTypeClasses               #-} ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.ThreeD.Attributes@@ -38,7 +38,7 @@ -- | @SurfaceColor@ is the inherent pigment of an object, assumed to -- be opaque. newtype SurfaceColor = SurfaceColor (Last (Colour Double))-  deriving (Typeable, Semigroup)+  deriving (Typeable, Semigroup, Show)  instance AttributeClass SurfaceColor @@ -59,7 +59,7 @@ -- Attribute.  For physical reasonableness, @Diffuse@ should have a -- value between 0 and 1; this is not checked. newtype Diffuse = Diffuse (Last Double)-  deriving (Typeable, Semigroup)+  deriving (Typeable, Semigroup, Show)  instance AttributeClass Diffuse @@ -82,7 +82,7 @@ -- indirect lighting incident on that object and the diffuse -- reflectance. newtype Ambient = Ambient (Last Double)-  deriving (Typeable, Semigroup)+  deriving (Typeable, Semigroup, Show)  instance AttributeClass Ambient @@ -107,12 +107,12 @@ data Specular = Specular   { _specularIntensity :: Double   , _specularSize      :: Double-  }+  } deriving Show  makeLenses ''Specular  newtype Highlight = Highlight (Last Specular)-  deriving (Typeable, Semigroup)+  deriving (Typeable, Semigroup, Show)  instance AttributeClass Highlight @@ -136,4 +136,3 @@ --   'Specular', setting this will do nothing. highlightSize :: Traversal' (Style v n) Double highlightSize = _highlight . _Just . specularSize-
src/Diagrams/ThreeD/Camera.hs view
@@ -1,10 +1,9 @@-{-# LANGUAGE CPP                   #-} {-# LANGUAGE DeriveDataTypeable    #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE ScopedTypeVariables   #-} {-# LANGUAGE TemplateHaskell       #-} {-# LANGUAGE TypeFamilies          #-}-{-# LANGUAGE ScopedTypeVariables   #-} {-# LANGUAGE UndecidableInstances  #-}  -----------------------------------------------------------------------------@@ -50,23 +49,12 @@     , up      :: V3 n     , lens    :: l n     }-#if __GLASGOW_HASKELL__ >= 707   deriving Typeable-#else -instance forall l. Typeable1 l => Typeable1 (Camera l) where-  typeOf1 _ = mkTyConApp (mkTyCon3 "diagrams-lib" "Diagrams.ThreeD.Camera" "Camera") [] `mkAppTy`-              typeOf1 (undefined :: l n)-#endif- type instance V (Camera l n) = V3 type instance N (Camera l n) = n -#if __GLASGOW_HASKELL__ > 707 class Typeable l => CameraLens l where-#else-class Typeable1 l => CameraLens l where-#endif   -- | The natural aspect ratio of the projection.   aspect :: Floating n => l n -> n 
src/Diagrams/ThreeD/Deform.hs view
@@ -19,7 +19,7 @@ -- | The perspective division onto the plane z=1 along lines going --   through the origin. perspectiveZ1 :: (R3 v, Functor v, Fractional n) => Deformation v v n-perspectiveZ1 = Deformation $ \p -> p ^/ (p ^. _x)+perspectiveZ1 = Deformation $ \p -> p ^/ (p ^. _z)  facingZ :: (R3 v, Functor v, Fractional n) => Deformation v v n facingZ = Deformation $
src/Diagrams/ThreeD/Light.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE DeriveDataTypeable    #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-}
src/Diagrams/ThreeD/Shapes.hs view
@@ -1,9 +1,10 @@-{-# LANGUAGE CPP                   #-}+{-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE DeriveDataTypeable    #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE RankNTypes            #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE UndecidableInstances  #-} ----------------------------------------------------------------------------- -- |@@ -17,22 +18,38 @@ -----------------------------------------------------------------------------  module Diagrams.ThreeD.Shapes-       (-         Ellipsoid(..), sphere-       , Box(..), cube-       , Frustum(..) , frustum, cone, cylinder-       ) where+  (+    -- * Skinned class+    Skinned(..) -#if __GLASGOW_HASKELL__ < 710-import           Control.Applicative-#endif+    -- * Basic 3D shapes+  , Ellipsoid(..)+  , sphere++  , Box(..)+  , cube++  , Frustum(..)+  , frustum+  , cone+  , cylinder++    -- * Constructive solid geometry+  , CSG(..)+  , union+  , intersection+  , difference+  ) where+ import           Control.Lens              (review, (^.), _1) import           Data.Typeable  import           Data.Semigroup import           Diagrams.Angle import           Diagrams.Core+import           Diagrams.Core.Trace import           Diagrams.Points+import           Diagrams.Query import           Diagrams.Solve.Polynomial import           Diagrams.ThreeD.Types import           Diagrams.ThreeD.Vector@@ -53,21 +70,20 @@ instance Fractional n => Renderable (Ellipsoid n) NullBackend where   render _ _ = mempty +instance OrderedField n => Enveloped (Ellipsoid n) where+  getEnvelope (Ellipsoid tr) = transform tr . mkEnvelope $ \v -> 1 / norm v++instance OrderedField n => Traced (Ellipsoid n) where+  getTrace (Ellipsoid tr) = transform tr . mkTrace $ \(P p) v -> let+    a  =    v `dot` v+    b  = 2 * (p `dot` v)+    c  =    (p `dot` p) - 1+    in+     mkSortedList $ quadForm a b c+ -- | A sphere of radius 1 with its center at the origin.-sphere :: (Typeable n, OrderedField n, Renderable (Ellipsoid n) b) => QDiagram b V3 n Any-sphere = mkQD (Prim $ Ellipsoid mempty)-              (mkEnvelope sphereEnv)-              (mkTrace sphereTrace)-              mempty-              (Query sphereQuery)-  where-    sphereEnv v         = 1 / norm v-    sphereTrace (P p) v = mkSortedList $ quadForm a b c-      where-        a  =      v `dot` v-        b  = 2 * (p `dot` v)-        c  =      p `dot` (p - 1)-    sphereQuery v = Any $ quadrance (v .-. origin) <= 1+sphere :: Num n => Ellipsoid n+sphere = Ellipsoid mempty  data Box n = Box (Transformation V3 n)   deriving Typeable@@ -76,36 +92,37 @@ type instance N (Box n) = n  instance Fractional n => Transformable (Box n) where-    transform t1 (Box t2) = Box (t1 <> t2)+  transform t1 (Box t2) = Box (t1 <> t2)  instance Fractional n => Renderable (Box n) NullBackend where   render _ _ = mempty --- | A cube with side length 1, in the positive octant, with one--- vertex at the origin.-cube :: (Typeable n, OrderedField n, Renderable (Box n) b) => QDiagram b V3 n Any-cube = mkQD (Prim $ Box mempty)-            (mkEnvelope boxEnv)-            (mkTrace boxTrace)-            mempty-            (Query boxQuery)-  where-    corners = mkR3 <$> [0,1] <*> [0,1] <*> [0,1]-    boxEnv v = maximum (map (v `dot`) corners) / quadrance v-    -- ts gives all intersections with the planes forming the box-    -- filter keeps only those actually on the box surface-    boxTrace p v = mkSortedList . filter (range . atT) $ ts where-      (x0, y0, z0) = unp3 p-      (vx, vy, vz) = unr3 v-      intersections f d = case d of-          0 -> []-          _ -> [-f/d, (1-f)/d]-      ts = concat $ zipWith intersections [x0,y0,z0] [vx,vy,vz]-      atT t = p .+^ (t*^v)+instance OrderedField n => Enveloped (Box n) where+  getEnvelope (Box tr) = transform tr . mkEnvelope $ \v ->+    maximum (map (v `dot`) corners) / quadrance v where+      corners = mkR3 <$> [0,1] <*> [0,1] <*> [0,1]++instance (Fractional n, Ord n) => Traced (Box n) where+  getTrace (Box tr) = transform tr . mkTrace $ \p v -> let+    (x0, y0, z0) = unp3 p+    (vx, vy, vz) = unr3 v+    intersections f d = case d of+      0 -> []+      _ -> [-f/d, (1-f)/d]+    ts = concat $ zipWith intersections [x0,y0,z0] [vx,vy,vz]+    atT t = p .+^ (t*^v)     range u = and [x >= 0, x <= 1, y >= 0, y <= 1, z >= 0, z <= 1] where       (x, y, z) = unp3 u-    boxQuery = Any . range+    in+     -- ts gives all intersections with the planes forming the box+     -- filter keeps only those actually on the box surface+     mkSortedList . filter (range . atT) $ ts where +-- | A cube with side length 1, in the positive octant, with one+-- vertex at the origin.+cube :: Num n => Box n+cube = Box mempty+ data Frustum n = Frustum n n (Transformation V3 n)   deriving Typeable @@ -118,55 +135,190 @@ instance Fractional n => Renderable (Frustum n) NullBackend where   render _ _ = mempty +instance (OrderedField n, RealFloat n) => Enveloped (Frustum n) where+  -- The plane containing v and the z axis intersects the frustum in a trapezoid+  -- Test the four corners of this trapezoid; one must determine the Envelope+  getEnvelope (Frustum r0 r1 tr) = transform tr . mkEnvelope $ \v ->let+    θ = v ^. _theta+    corners = [(r1,θ,1), (-r1,θ,1), (r0,θ,0), (-r0,θ,0)]+    in+     maximum . map (norm . project v . review r3CylindricalIso) $ corners++instance (RealFloat n, Ord n) => Traced (Frustum n) where+  -- The trace can intersect the sides of the cone or one of the end+  -- caps The sides are described by a quadric equation; substitute+  -- in the parametric form of the ray but disregard any+  -- intersections outside z = [0,1] Similarly, find intersections+  -- with the planes z=0, z=1, but disregard any r>r0, r>r1+  getTrace (Frustum r0 r1 tr) = transform tr . mkTrace $ \p v -> let+    (px, py, pz) = unp3 p+    (vx, vy, vz) = unr3 v+    ray t = p .+^ t *^ v+    dr = r1 - r0+    a = vx**2 + vy**2 - vz**2 * dr**2+    b = 2 * (px * vx + py * vy - (r0+pz*dr) * dr  * vz)+    c = px**2 + py**2 - (r0 + dr*pz)**2+    zbounds t = ray t ^. _z >= 0+         && ray t ^. _z <= 1+    ends = concatMap cap [0,1]+    cap z = [ t | ray t ^. lensP . r3CylindricalIso . _1 < r0 + z * dr ]+      where+      t = (z - pz) / vz+    in+     mkSortedList $ filter zbounds (quadForm a b c) ++ ends+ -- | A frustum of a right circular cone.  It has height 1 oriented -- along the positive z axis, and radii r0 and r1 at Z=0 and Z=1. -- 'cone' and 'cylinder' are special cases.-frustum :: (TypeableFloat n, Renderable (Frustum n) b) => n -> n -> QDiagram b V3 n Any-frustum r0 r1 = mkQD (Prim $ Frustum r0 r1 mempty)-                 (mkEnvelope frEnv)-                 (mkTrace frTrace)-                 mempty-                 (Query frQuery)-  where-    projectXY u = u ^-^ project unitZ u-    frQuery p = Any $ x >= 0 && x <= 1 && a <= r where-      (x, _, z) = unp3 p-      r = r0 + (r1 - r0)*z-      v = p .-. origin-      a = norm $ projectXY v-    -- The plane containing v and the z axis intersects the frustum in a trapezoid-    -- Test the four corners of this trapezoid; one must determine the Envelope-    frEnv v = maximum . map (norm . project v . review r3CylindricalIso) $ corners-      where-        θ = v ^. _theta-        corners = [(r1,θ,1), (-r1,θ,1), (r0,θ,0), (-r0,θ,0)]-    -- The trace can intersect the sides of the cone or one of the end-    -- caps The sides are described by a quadric equation; substitute-    -- in the parametric form of the ray but disregard any-    -- intersections outside z = [0,1] Similarly, find intersections-    -- with the planes z=0, z=1, but disregard any r>r0, r>r1-    frTrace p v = mkSortedList $ filter zbounds (quadForm a b c) ++ ends-      where-        (px, py, pz) = unp3 p-        (vx, vy, vz) = unr3 v-        ray t = p .+^ t *^ v-        dr = r1 - r0-        a = vx**2 + vy**2 - vz**2 * dr**2-        b = 2 * (px * vx + py * vy - (r0+pz*dr) * dr  * vz)-        c = px**2 + py**2 - (r0 + dr*pz)**2-        zbounds t = ray t ^. _z >= 0-                 && ray t ^. _z <= 1-        ends = concatMap cap [0,1]-        cap z = [ t | ray t ^. lensP . r3CylindricalIso . _1 < r0 + z * dr ]-          where-            t = (z - pz) / vz+frustum :: Num n => n -> n -> Frustum n+frustum r0 r1 = Frustum r0 r1 mempty  -- | A cone with its base centered on the origin, with radius 1 at the -- base, height 1, and it's apex on the positive Z axis.-cone :: (TypeableFloat n, Renderable (Frustum n) b) => QDiagram b V3 n Any+cone :: Num n => Frustum n cone = frustum 1 0  -- | A circular cylinder of radius 1 with one end cap centered on the -- origin, and extending to Z=1.-cylinder :: (TypeableFloat n, Renderable (Frustum n) b) => QDiagram b V3 n Any+cylinder :: Num n => Frustum n cylinder = frustum 1 1++-- | Types which can be rendered as 3D Diagrams.+class Skinned t where+  skin :: (Renderable t b, N t ~ n, TypeableFloat n) => t -> QDiagram b V3 n Any++instance (Num n, Ord n) => HasQuery (Ellipsoid n) Any where+  getQuery (Ellipsoid tr) = transform tr $+    Query $ \v -> Any $ quadrance (v .-. origin) <= 1++instance OrderedField n => Skinned (Ellipsoid n) where+  skin s = mkQD (Prim s) (getEnvelope s) (getTrace s) mempty (getQuery s)++instance (Num n, Ord n) => HasQuery (Box n) Any where+  getQuery (Box tr) = transform tr . Query $ Any . range where+    range u = and [x >= 0, x <= 1, y >= 0, y <= 1, z >= 0, z <= 1] where+      (x, y, z) = unp3 u++instance OrderedField n => Skinned (Box n) where+  skin s = mkQD (Prim s) (getEnvelope s) (getTrace s) mempty (getQuery s)++instance (OrderedField n) => HasQuery (Frustum n) Any where+  getQuery (Frustum r0 r1 tr)= transform tr $+    Query $ \p -> let+      z = p^._z+      r = r0 + (r1 - r0)*z+      v = p .-. origin+      a = norm $ projectXY v+      projectXY u = u ^-^ project unitZ u+      in+       Any $ z >= 0 && z <= 1 && a <= r++instance Skinned (Frustum n) where+  skin s = mkQD (Prim s) (getEnvelope s) (getTrace s) mempty (getQuery s)++-- The CSG type needs to form a tree to be useful.  This+-- implementation requires Backends to support all the included+-- primitives.  If that turns out to be a problem, we have several+-- options:+-- a) accept runtime errors for unsupported primitives+-- b) carry the set of primitives in a row type in the CSG type+-- c) implement CSG in Haskell, so Backends supporting triangle meshes+--    can fall back to those.+-- (c) is worth doing anyway; I'm ambivalent about the others.  -DMB++-- | A tree of Constructive Solid Geometry operations and the primitives that+-- can be used in them.+data CSG n+  = CsgEllipsoid (Ellipsoid n)+  | CsgBox (Box n)+  | CsgFrustum (Frustum n)+  | CsgUnion [CSG n]+  | CsgIntersection [CSG n]+  | CsgDifference (CSG n) (CSG n)+  deriving Typeable++type instance V (CSG n) = V3+type instance N (CSG n) = n++instance Fractional n => Transformable (CSG n) where+  transform t (CsgEllipsoid p) = CsgEllipsoid $ transform t p+  transform t (CsgBox p) = CsgBox $ transform t p+  transform t (CsgFrustum p) = CsgFrustum $ transform t p+  transform t (CsgUnion ps) = CsgUnion $ map (transform t) ps+  transform t (CsgIntersection ps) = CsgIntersection $ map (transform t) ps+  transform t (CsgDifference p1 p2) = CsgDifference (transform t p1) (transform t p2)++-- | The Envelope for an Intersection or Difference is simply the+-- Envelope of the Union.  This is wrong but easy to implement.+instance RealFloat n => Enveloped (CSG n) where+  getEnvelope (CsgEllipsoid p)      = getEnvelope p+  getEnvelope (CsgBox p)            = getEnvelope p+  getEnvelope (CsgFrustum p)        = getEnvelope p+  getEnvelope (CsgUnion ps)         = foldMap getEnvelope ps+  getEnvelope (CsgIntersection ps)  = foldMap getEnvelope ps+  getEnvelope (CsgDifference p1 p2) = getEnvelope p1 <> getEnvelope p2+-- TODO after implementing some approximation scheme, calculate+-- correct (approximate) envelopes for intersections and difference.++instance (Floating n, Ord n) => HasQuery (CSG n) Any where+  getQuery (CsgEllipsoid prim) = getQuery prim+  getQuery (CsgBox prim) = getQuery prim+  getQuery (CsgFrustum prim) = getQuery prim+  getQuery (CsgUnion ps) = foldMap getQuery ps+  getQuery (CsgIntersection ps) =+    Any . getAll <$> foldMap (fmap (All . getAny) . getQuery) ps+  getQuery (CsgDifference p1 p2) = inOut <$> getQuery p1 <*> getQuery p2 where+    inOut (Any a) (Any b) = Any $ a && not b++instance (RealFloat n, Ord n) => Traced (CSG n) where+  getTrace (CsgEllipsoid p) = getTrace p+  getTrace (CsgBox p) = getTrace p+  getTrace (CsgFrustum p) = getTrace p+  -- on surface of some p, and not inside any of the others+  getTrace (CsgUnion []) = mempty+  getTrace (CsgUnion (s:ss)) = mkTrace t where+    t pt v = onSortedList (filter $ without s) (appTrace (getTrace (CsgUnion ss)) pt v)+         <> onSortedList (filter $ without (CsgUnion ss)) (appTrace (getTrace s) pt v) where+      newPt dist = pt .+^ v ^* dist+      without prim = not . inquire prim . newPt+  -- on surface of some p, and inside all the others+  getTrace (CsgIntersection []) = mempty+  getTrace (CsgIntersection (s:ss)) = mkTrace t where+    t pt v = onSortedList (filter $ within s) (appTrace (getTrace (CsgIntersection ss)) pt v)+         <> onSortedList (filter $ within (CsgIntersection ss)) (appTrace (getTrace s) pt v) where+      newPt dist = pt .+^ v ^* dist+      within prim = inquire prim . newPt+  -- on surface of p1, outside p2, or on surface of p2, inside p1+  getTrace (CsgDifference s1 s2) = mkTrace t where+    t pt v = onSortedList (filter $ not . within s2) (appTrace (getTrace s1) pt v)+         <> onSortedList (filter $ within s1) (appTrace (getTrace s2) pt v) where+      newPt dist = pt .+^ v ^* dist+      within prim = inquire prim . newPt++instance (RealFloat n, Ord n) => Skinned (CSG n) where+  skin s = mkQD (Prim s) (getEnvelope s) (getTrace s) mempty (getQuery s)++-- | Types which can be included in CSG trees.+class CsgPrim a where+  toCsg :: a n -> CSG n++instance CsgPrim Ellipsoid where+  toCsg = CsgEllipsoid++instance CsgPrim Box where+  toCsg = CsgBox++instance CsgPrim Frustum where+  toCsg = CsgFrustum++instance CsgPrim CSG where+  toCsg = id++union :: (CsgPrim a, CsgPrim b) => a n -> b n -> CSG n+union a b = CsgUnion [toCsg a, toCsg b]++intersection :: (CsgPrim a, CsgPrim b) => a n -> b n -> CSG n+intersection a b = CsgIntersection [toCsg a, toCsg b]++difference :: (CsgPrim a, CsgPrim b) => a n -> b n -> CSG n+difference a b = CsgDifference (toCsg a) (toCsg b)
src/Diagrams/ThreeD/Size.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE TypeFamilies     #-} 
src/Diagrams/ThreeD/Transform.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE FlexibleInstances     #-} {-# LANGUAGE MultiParamTypeClasses #-}@@ -5,6 +6,10 @@ {-# LANGUAGE TypeFamilies          #-} {-# LANGUAGE TypeOperators         #-} {-# LANGUAGE ViewPatterns          #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.ThreeD.Transform@@ -50,9 +55,9 @@  import           Diagrams.Angle import           Diagrams.Direction+import           Diagrams.Points import           Diagrams.ThreeD.Types import           Diagrams.Transform-import           Diagrams.Points  import           Control.Lens            (view, (&), (*~), (.~), (//~)) import           Data.Semigroup@@ -138,18 +143,18 @@ -- without tilting, it will be, otherwise if only tilting is -- necessary, no panning will occur.  The tilt will always be between -- ± 1/4 turn.-pointAt :: Floating n+pointAt :: (Floating n, Ord n)         => Direction V3 n -> Direction V3 n -> Direction V3 n         -> Transformation V3 n pointAt a i f = pointAt' (fromDirection a) (fromDirection i) (fromDirection f)  -- | pointAt' has the same behavior as 'pointAt', but takes vectors -- instead of directions.-pointAt' :: Floating n => V3 n -> V3 n -> V3 n -> Transformation V3 n+pointAt' :: (Floating n, Ord n) => V3 n -> V3 n -> V3 n -> Transformation V3 n pointAt' about initial final = pointAtUnit (signorm about) (signorm initial) (signorm final)  -- | pointAtUnit has the same behavior as @pointAt@, but takes unit vectors.-pointAtUnit :: Floating n => V3 n -> V3 n -> V3 n -> Transformation V3 n+pointAtUnit :: (Floating n, Ord n) => V3 n -> V3 n -> V3 n -> Transformation V3 n pointAtUnit about initial final = tilt <> pan where   -- rotating u by (signedAngle rel u v) about rel gives a vector in the direction of v   signedAngle rel u v = signum (cross u v `dot` rel) *^ angleBetween u v
src/Diagrams/Trace.hs view
@@ -1,4 +1,10 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE MonoLocalBinds   #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Trace
src/Diagrams/Trail.hs view
@@ -1,3 +1,5 @@+{-# LANGUAGE ConstraintKinds #-}+{-# LANGUAGE CPP                        #-} {-# LANGUAGE EmptyDataDecls             #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE FlexibleInstances          #-}@@ -56,6 +58,7 @@         , Trail(..)        , _Line, _Loop+       , _LocLine, _LocLoop        , wrapTrail, wrapLine, wrapLoop        , onTrail, onLine @@ -81,7 +84,7 @@        , trailPoints, linePoints, loopPoints        , trailVertices', lineVertices', loopVertices'        , trailVertices, lineVertices, loopVertices-       , trailLocSegments, fixTrail+       , trailLocSegments, fixTrail, unfixTrail           -- * Modifying trails @@ -102,14 +105,14 @@           -- ** Extracting segments -       , GetSegment(..), getSegment+       , GetSegment(..), getSegment, GetSegmentCodomain(..)         ) where  import           Control.Arrow            ((***)) import           Control.Lens             hiding (at, transform, (<|), (|>)) import           Data.FingerTree          (FingerTree, ViewL (..), ViewR (..),-                                           (<|), (|>))+                                           viewl, (<|), (|>)) import qualified Data.FingerTree          as FT import           Data.Fixed import qualified Data.Foldable            as F@@ -127,6 +130,9 @@ import           Linear.Metric import           Linear.Vector +import           Data.Serialize            (Serialize)+import qualified Data.Serialize            as Serialize+ -- $internals -- -- Most users of diagrams should not need to use anything in this@@ -172,6 +178,18 @@ newtype SegTree v n = SegTree (FingerTree (SegMeasure v n) (Segment Closed v n))   deriving (Eq, Ord, Show, Monoid, Transformable, FT.Measured (SegMeasure v n)) +-- Only derive the Semigroup instance for versions of base that+-- include Semigroup.  This is because the fingertree package has+-- similar CPP to only export a Semigroup instance for those versions+-- of base, so for GHC 7.10 and earlier we get a 'no instance found'+-- error when trying to derive the Semigroup instance for SegTree.  It+-- would also be possible to depend on the 'semigroups' package in+-- order to get the Semigroup class regardless of base version, but+-- presumably fingertree didn't want to add a dependency.+#if MIN_VERSION_base(4,9,0)+deriving instance (Ord n, Floating n, Metric v) => Semigroup (SegTree v n)+#endif+ instance Wrapped (SegTree v n) where   type Unwrapped (SegTree v n) = FingerTree (SegMeasure v n) (Segment Closed v n)   _Wrapped' = iso (\(SegTree x) -> x) SegTree@@ -203,60 +221,46 @@ instance (Metric v, OrderedField n, Real n)     => EndValues (SegTree v n) -type SplitResult v n = ((SegTree v n, n -> n), (SegTree v n, n -> n))--splitAtParam' :: (Metric v, OrderedField n, Real n) => SegTree v n -> n -> SplitResult v n-splitAtParam' tree@(SegTree t) p-  | p < 0     =-    case FT.viewl t of-      EmptyL    -> emptySplit-      seg FT.:< t' ->-        case seg `splitAtParam` (p * tSegs) of-          (seg1, seg2) ->-            ( (SegTree $ FT.singleton seg1, (*p))-            , (SegTree $ seg2 <| t', \u -> 1 - (1 - u) * tSegs / (tSegs + 1))-            )-  | p >= 1    =-    case FT.viewr t of-      EmptyR    -> emptySplit-      t' FT.:> seg ->-        case seg `splitAtParam` (1 - (1 - p)*tSegs) of-          (seg1, seg2) ->-            ( (SegTree $ t' |> seg1, \u -> u * tSegs / (tSegs + 1))-            , (SegTree $ FT.singleton seg2, \u -> (u - p) / (1 - p))-            )-  | otherwise =-    case FT.viewl after of-      EmptyL    -> emptySplit-      seg FT.:< after' ->-        let (n, p') = propFrac $ p * tSegs-            f p n u | u * tSegs < n = u * tSegs / (n + 1)-                    | otherwise     = (n + (u * tSegs - n) / (p * tSegs - n)) / (n+1)-        in case seg `splitAtParam` p' of-             (seg1, seg2) ->-               ( ( SegTree $ before |> seg1  , f p n )-               , ( SegTree $ seg2   <| after'-               , \v -> 1 - f (1 - p) (tSegs - n - 1) (1 - v)-                 )-               )- where-   (before, after) = FT.split ((p * tSegs <) . numSegs) t-   tSegs           = numSegs t-   emptySplit      = let t' = (tree, id) in (t',t')--   propFrac x = let m = signum x * mod1 x in (x - m, m)+splitAtParam' :: (Metric v, OrderedField n, Real n)+              => SegTree v n -> n -> ((SegTree v n, SegTree v n), n -> n)+splitAtParam' (SegTree t) p+  | tSegs == 0 = ((mempty       , mempty       ), id)+  | otherwise  = ((SegTree treeL, SegTree treeR), rescale)+  where+    tSegs  = numSegs t+    splitParam q | q <  0    = (0        , q           * tSegs)+                 | q >= 1    = (tSegs - 1, 1 + (q - 1) * tSegs)+                 | otherwise = propFrac $  q           * tSegs+      where propFrac x = let m = mod1 x in (x - m, m)+    (pSegs, pParam) = splitParam p+    (before, viewl -> seg FT.:< after) = FT.split ((pSegs <) . numSegs) t+    (segL, segR) = seg `splitAtParam` pParam+    (treeL, treeR) | pParam == 0 = (before        , seg  <| after)+                   | pParam == 1 = (before |> seg ,         after)+                   | otherwise   = (before |> segL, segR <| after)+    -- section uses rescale to find the new value of p1 after the split at p2+    rescale u | pSegs' == uSegs = (uSegs + uParam / pParam' {-'1-}) / (pSegs' + 1) {-'2-}+              | otherwise       = u * tSegs / (pSegs' + 1) {-'3-}+      where+        -- param 0 on a segment is param 1 on the previous segment+        (pSegs', pParam') | pParam == 0 = (pSegs-1, 1)+                          | otherwise   = (pSegs  , pParam)+        (uSegs , uParam ) = splitParam u+        -- '1 (pParam ≠ 0 → pParam' = pParam) ∧ (pParam = 0 → pParam' = 1) → pParam' ≠ 0+        -- '2 uSegs ≥ 0 ∧ pSegs' = uSegs → pSegs' ≥ 0 → pSegs' + 1 > 0+        -- '3 pSegs' + 1 = 0 → pSegs' = -1 → pSegs = 0 ∧ pParam = 0 → p = 0+        --    → rescale is not called  instance (Metric v, OrderedField n, Real n) => Sectionable (SegTree v n) where-  splitAtParam tree p = let ((a,_),(b,_)) = splitAtParam' tree p in (a,b)+  splitAtParam tree p = fst $ splitAtParam' tree p    reverseDomain (SegTree t) = SegTree $ FT.reverse t'     where t' = FT.fmap' reverseSegment t -  section x t1 t2 = let ((a,fa),_) = splitAtParam' x t2-                    in  snd $ splitAtParam a (fa t1)--  -- XXX seems like it should be possible to collapse some of the-  -- above cases into one?+  section x p1 p2 | p2 == 0   = reverseDomain . fst $ splitAtParam x p1+                  | p1 <= p2  = let ((a, _), rescale) = splitAtParam' x p2+                                in  snd $ splitAtParam a (rescale p1)+                  | otherwise = reverseDomain $ section x p2 p1  instance (Metric v, OrderedField n, Real n)     => HasArcLength (SegTree v n) where@@ -307,7 +311,7 @@ --   (along with a default value) to a function on an entire trail. trailMeasure :: ( SegMeasure v n :>: m, FT.Measured (SegMeasure v n) t )              => a -> (m -> a) -> t -> a-trailMeasure d f = option d f . get . FT.measure+trailMeasure d f = maybe d f . get . FT.measure  -- | Compute the number of segments of anything measured by --   'SegMeasure' (/e.g./ @SegMeasure@ itself, @Segment@, @SegTree@,@@ -502,6 +506,8 @@     where       (t1, t2) = splitAtParam t p +  section (Line t) p1 p2 = Line (section t p1 p2)+   reverseDomain = reverseLine  instance (Metric v, OrderedField n, Real n)@@ -533,6 +539,17 @@   _Snoc = _Wrapped . _Snoc . bimapping _Unwrapped id   {-# INLINE _Snoc #-} +-- | Compose two Located trails by adding a segment joining the endpoint+--   of the first to the starting point of the second.  Note, if you have+--   two located trails such that the end of the first coincides with the+--   start of the second, this will still add a trivial zero-length segment+--   between them; in that case you are probably better off with something+--   like @mapLoc (<> unLoc t2) t1@.+instance (Real n, Floating n, Metric v)+  => Semigroup (Located (Trail' Line v n)) where+    a@(Loc aLoc aLine) <> b@(Loc _ bLine) =+      Loc aLoc (aLine <> lineFromOffsets [atStart b .-. atEnd a] <> bLine)+ -------------------------------------------------- -- Extracting segments @@ -554,9 +571,10 @@ --   trail, respectively. -- --   The codomain for 'GetSegment', /i.e./ the result you get from---   calling 'atParam', 'atStart', or 'atEnd', is @Maybe (v, Segment---   Closed v, AnIso' n n)@.  @Nothing@ results if---   the trail is empty; otherwise, you get:+--   calling 'atParam', 'atStart', or 'atEnd', is+--   'GetSegmentCodomain', which is a newtype wrapper around @Maybe+--   (v, Segment Closed v, AnIso' n n)@.  @Nothing@ results if the+--   trail is empty; otherwise, you get: -- --   * the offset from the start of the trail to the beginning of the --     segment,@@ -749,6 +767,8 @@ instance (Metric v, OrderedField n, Real n) => Sectionable (Trail v n) where   splitAtParam t p = withLine ((wrapLine *** wrapLine) . (`splitAtParam` p)) t +  section t p1 p2 = withLine (wrapLine . (\l -> section l p1 p2)) t+   reverseDomain = reverseTrail  instance (Metric v, OrderedField n, Real n)@@ -766,6 +786,14 @@ _Loop :: Prism' (Trail v n) (Trail' Loop v n) _Loop = _Wrapped' . _Right +-- | Prism onto a 'Located' 'Line'.+_LocLine :: Prism' (Located (Trail v n)) (Located (Trail' Line v n))+_LocLine = prism' (mapLoc Trail) $ located (preview _Line)++-- | Prism onto a 'Located' 'Loop'.+_LocLoop :: Prism' (Located (Trail v n)) (Located (Trail' Loop v n))+_LocLoop = prism' (mapLoc Trail) $ located (preview _Loop)+ instance Rewrapped (Trail v n) (Trail v' n') instance Wrapped (Trail v n) where   type Unwrapped (Trail v n) = Either (Trail' Line v n) (Trail' Loop v n)@@ -1237,10 +1265,30 @@ select xs bs = map fst $ filter snd (zip xs bs)  -- | Convert a concretely located trail into a list of fixed segments.+--   'unfixTrail' is almost its left inverse. fixTrail :: (Metric v, OrderedField n)          => Located (Trail v n) -> [FixedSegment v n] fixTrail t = map mkFixedSeg (trailLocSegments t) +-- | Convert a list of fixed segments into a located trail.  Note that+--   this may lose information: it throws away the locations of all+--   but the first @FixedSegment@.  This does not matter precisely+--   when each @FixedSegment@ begins where the previous one ends.+--+--   This is almost left inverse to 'fixTrail', that is, @unfixTrail+--   . fixTrail == id@, except for the fact that @unfixTrail@ will+--   never yield a @Loop@.  In the case of a loop, we instead have+--   @glueTrail . unfixTrail . fixTrail == id@.  On the other hand, it+--   is not the case that @fixTrail . unfixTrail == id@ since+--   @unfixTrail@ may lose information.+unfixTrail+  :: (Metric v, Ord n, Floating n)+  => [FixedSegment v n] -> Located (Trail v n)+unfixTrail = mapLoc trailFromSegments . takeLoc . map fromFixedSeg+  where+    takeLoc []       = [] `at` origin+    takeLoc xs@(x:_) = map unLoc xs `at` loc x+ -- | Convert a concretely located trail into a list of located segments. trailLocSegments :: (Metric v, OrderedField n)                   => Located (Trail v n) -> [Located (Segment Closed v n)]@@ -1311,3 +1359,38 @@ instance (Metric v, OrderedField n) => Reversing (Located (Trail v n)) where   reversing = reverseLocTrail +------------------------------------------------------------+--  Serialize instances+------------------------------------------------------------++instance (Serialize (v n), OrderedField n, Metric v) => Serialize (Trail v n) where+  {-# INLINE get #-}+  get = do+    isLine <- Serialize.get+    case isLine of+      True  -> do+        segTree <- Serialize.get+        return (Trail (Line segTree))+      False -> do+        segTree <- Serialize.get+        segment <- Serialize.get+        return (Trail (Loop segTree segment))++  {-# INLINE put #-}+  put (Trail (Line segTree)) = do+    Serialize.put True+    Serialize.put segTree++  put (Trail (Loop segTree segment)) = do+    Serialize.put False+    Serialize.put segTree+    Serialize.put segment++instance (OrderedField n, Metric v, Serialize (v n)) => Serialize (SegTree v n) where+  {-# INLINE put #-}+  put (SegTree fingerTree) = Serialize.put (F.toList fingerTree)++  {-# INLINE get #-}+  get = do+    fingerTree <- Serialize.get+    return (SegTree (FT.fromList fingerTree))
src/Diagrams/TrailLike.hs view
@@ -1,6 +1,8 @@+{-# LANGUAGE ConstraintKinds      #-} {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE FlexibleInstances    #-} {-# LANGUAGE TypeFamilies         #-}+{-# LANGUAGE TypeOperators        #-} {-# LANGUAGE UndecidableInstances #-} ----------------------------------------------------------------------------- -- |
src/Diagrams/Transform.hs view
@@ -1,6 +1,11 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE RankNTypes            #-} {-# LANGUAGE TypeFamilies          #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Transform@@ -120,4 +125,4 @@ -- @ translated :: (InSpace v n a, SameSpace a b, Transformable a, Transformable b)            => v n -> Iso a b a b-translated = transformed . translation+translated v = transformed $ translation v
src/Diagrams/Transform/Matrix.hs view
@@ -1,4 +1,6 @@-{-# LANGUAGE CPP #-}+{-# LANGUAGE ConstraintKinds #-}+{-# LANGUAGE MonoLocalBinds  #-}+{-# LANGUAGE TypeFamilies    #-}  ----------------------------------------------------------------------------- -- |@@ -28,7 +30,7 @@  -- | Build a matrix from a 'Transformation', ignoring the translation. mkMat :: (HasBasis v, Num n) => Transformation v n -> v (v n)-mkMat t = distribute . tabulate $ apply t . unit . el+mkMat t = distribute . tabulate $ apply t . unit . (\x -> el x)  -- | Build a 3D transformation matrix in homogeneous coordinates from --   a 'Transformation V3'.@@ -39,13 +41,13 @@ --   translation vector. Does not check if the matrix is not invertible --   (in which case the 'T2' will be invalid). fromMat22 :: Floating n => M22 n -> V2 n -> T2 n-fromMat22 m v = flip (fromMatWithInv m) v $ inv22 m+fromMat22 m v = fromMatWithInv m (inv22 m) v  -- | Make a 3D transformation from a 3x3 transform matrix and a --   translation vector. Does not check if the matrix is not invertible --   (in which case the 'T3' will be invalid). fromMat33 :: Floating n => M33 n -> V3 n -> T3 n-fromMat33 m v = flip (fromMatWithInv m) v $ inv33 m+fromMat33 m v = fromMatWithInv m (inv33 m) v  -- | Build a transform with a maxtrix along with its inverse. fromMatWithInv :: (Additive v, Distributive v, F.Foldable v, Num n)@@ -54,8 +56,8 @@   -> v n     -- ^ translation   -> Transformation v n fromMatWithInv m m_ v =-  Transformation ((*! m)            <-> (*! m_))-                 ((*! distribute m) <-> (*! distribute m_))+  Transformation ((m !*)            <-> (m_ !*))+                 ((distribute m !*) <-> (distribute m_ !*))                  v  -- | Prism onto a 2D transformation from a 2x2 transform matrix and@@ -64,7 +66,8 @@ mat22 :: Floating n => Iso' (M22 n, V2 n) (T2 n) mat22 = iso (uncurry fromMat22) (mkMat &&& transl) --- | Prism onto a 2D transformation from a 2x2 transform matrix and---   translation vector (in which case the 'T3' will be invalid).+-- | Prism onto a 3D transformation from a 3x3 transform matrix and+--   translation vector. Does not check if the matrix is invertible+--   (in which case the 'T3' will be invalid). mat33 :: Floating n => Iso' (M33 n, V3 n) (T3 n) mat33 = iso (uncurry fromMat33) (mkMat &&& transl)
src/Diagrams/Transform/ScaleInv.hs view
@@ -1,4 +1,3 @@-{-# LANGUAGE CPP                        #-} {-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE DeriveDataTypeable    #-} {-# LANGUAGE FlexibleContexts      #-}@@ -8,6 +7,7 @@ {-# LANGUAGE StandaloneDeriving    #-} {-# LANGUAGE TemplateHaskell       #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE UndecidableInstances  #-} ----------------------------------------------------------------------------- -- |@@ -27,9 +27,6 @@     where  import           Control.Lens            (makeLenses, view, (^.))-#if __GLASGOW_HASKELL__ < 710-import           Data.Semigroup-#endif import           Data.Typeable  import           Diagrams.Angle
src/Diagrams/TwoD.hs view
@@ -181,7 +181,9 @@           -- * Text        , text, topLeftText, alignedText, baselineText-       , font, italic, oblique, bold, fontSize+       , font, italic, oblique, fontSize+       , bold, bolder, lighter, thinWeight+       , ultraLight, light, mediumWeight, heavy, semiBold, ultraBold        , _font, _fontSizeR, _fontSize        , fontSizeO, fontSizeL, fontSizeN, fontSizeG @@ -210,9 +212,12 @@        , translationX, translateX        , translationY, translateY        , translation, translate+         -- ** Conformal affine maps+       , scalingRotationTo, scaleRotateTo          -- ** Reflection        , reflectionX, reflectX        , reflectionY, reflectY+       , reflectionXY, reflectXY        , reflectionAbout, reflectAbout          -- ** Shears        , shearingX, shearX@@ -235,7 +240,7 @@         , extrudeLeft, extrudeRight, extrudeBottom, extrudeTop -       , rectEnvelope+       , rectEnvelope, crop           -- ** Background @@ -247,7 +252,7 @@        , centerX, centerY, centerXY           -- * Snugging-       , snugL, snugR, snugT, snugB, snugTL, snugTR, snugBL, snugBR+       , snugL, snugR, snugT, snugB        , snugX, snugY        , snugCenterX, snugCenterY, snugCenterXY 
src/Diagrams/TwoD/Adjust.hs view
@@ -1,7 +1,11 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE Rank2Types       #-} {-# LANGUAGE TypeFamilies     #-} +{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Adjust@@ -21,15 +25,15 @@     ) where  import           Diagrams.Attributes+import           Diagrams.BoundingBox import           Diagrams.Core+import           Diagrams.Size import           Diagrams.TwoD.Attributes (lineTextureA) import           Diagrams.TwoD.Types import           Diagrams.Util            (( # ))-import           Diagrams.Size-import           Diagrams.BoundingBox -import           Control.Lens             (Lens', (^.),  set)-import           Data.Default.Class+import           Control.Lens             (Lens', set, (^.))+import           Data.Default import           Data.Semigroup  
src/Diagrams/TwoD/Align.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE TypeFamilies     #-} @@ -29,7 +30,6 @@        -- ** Align by trace     , snugL, snugR, snugT, snugB-    , snugTL, snugTR, snugBL, snugBR        -- * Relative alignment     , alignX, snugX, alignY, snugY@@ -83,14 +83,6 @@ alignBL = alignB . alignL alignBR = alignB . alignR -snugTL, snugTR, snugBL, snugBR-  :: (InSpace V2 n a, Fractional n, Alignable a, Traced a, HasOrigin a)-   => a -> a-snugTL = snugT . snugL-snugTR = snugT . snugR-snugBL = snugB . snugL-snugBR = snugB . snugR- -- | @alignX@ and @snugX@ move the local origin horizontally as follows: -- --   * @alignX (-1)@ moves the local origin to the left edge of the boundary;@@ -140,5 +132,3 @@  snugCenterXY :: (InSpace v n a, R2 v, Fractional n, Alignable a, Traced a, HasOrigin a) => a -> a snugCenterXY = snugCenterX . snugCenterY--
src/Diagrams/TwoD/Arc.hs view
@@ -1,6 +1,12 @@+{-# LANGUAGE ConstraintKinds  #-} {-# LANGUAGE FlexibleContexts #-}-{-# LANGUAGE ViewPatterns     #-} {-# LANGUAGE TypeFamilies     #-}+{-# LANGUAGE TypeOperators    #-}+{-# LANGUAGE ViewPatterns     #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Arc@@ -36,11 +42,11 @@ import           Diagrams.TrailLike import           Diagrams.TwoD.Transform import           Diagrams.TwoD.Types-import           Diagrams.TwoD.Vector    (unitX, unitY, unit_Y, e)+import           Diagrams.TwoD.Vector    (e, unitX, unitY, unit_Y) import           Diagrams.Util           (( # ))  import           Control.Lens            ((&), (<>~), (^.))-import           Data.Semigroup          ((<>))+import           Data.Semigroup  import           Linear.Affine import           Linear.Metric
src/Diagrams/TwoD/Arrow.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE CPP                        #-}+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-}@@ -7,6 +7,7 @@ {-# LANGUAGE ScopedTypeVariables        #-} {-# LANGUAGE TemplateHaskell            #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} {-# LANGUAGE UndecidableInstances       #-}  -----------------------------------------------------------------------------@@ -18,7 +19,7 @@ -- -- Drawing arrows in two dimensions.  For a tutorial on drawing arrows -- using this module, see the diagrams website:--- <http://projects.haskell.org/diagrams/doc/arrow.html>.+-- <https://diagrams.github.io/doc/arrow.html>. -- ----------------------------------------------------------------------------- @@ -104,14 +105,11 @@        , module Diagrams.TwoD.Arrowheads        ) where -#if __GLASGOW_HASKELL__ < 710-import           Control.Applicative       ((<$>), (<*>))-#endif import           Control.Lens              (Lens', Traversal',                                             generateSignatures, lensRules,                                             makeLensesWith, view, (%~), (&),                                             (.~), (^.))-import           Data.Default.Class+import           Data.Default import           Data.Maybe                (fromMaybe) import           Data.Monoid.Coproduct     (untangle) import           Data.Semigroup@@ -134,7 +132,7 @@ import           Diagrams.TwoD.Arrowheads import           Diagrams.TwoD.Attributes import           Diagrams.TwoD.Path        (stroke, strokeT)-import           Diagrams.TwoD.Transform   (reflectY, rotate, translateX)+import           Diagrams.TwoD.Transform   (reflectY, translateX) import           Diagrams.TwoD.Types import           Diagrams.TwoD.Vector      (unitX, unit_X) import           Diagrams.Util             (( # ))@@ -321,9 +319,10 @@     ht = stroke ht' # applyStyle (styProj opts)     j  = stroke j'  # applyStyle (colorJoint (opts^.shaftStyle)) --- | Make a trail with the same angles and offset as an arrow with tail width---   tw, head width hw and shaft of tr, such that the magnituted of the shaft---   offset is size. Used for calculating the offset of an arrow.+-- | @spine tr tw hw sz@ makes a trail with the same angles and offset+--   as an arrow with tail width @t@w, head width @hw@ and shaft @tr@,+--   such that the magnitude of the shaft offset is @sz@. Used for+--   calculating the offset of an arrow. spine :: TypeableFloat n => Trail V2 n -> n -> n -> n -> Trail V2 n spine tr tw hw sz = tS <> tr # scale sz <> hS   where@@ -332,8 +331,9 @@     hS = if hw > 0 then hSpine else mempty     tS = if tw > 0 then tSpine else mempty ---  | Calculate the amount required to scale a shaft trail so that an arrow with---    head width hw and tail width tw has offset t.+-- | @scaleFactor tr tw hw t@ calculates the amount required to scale+--   a shaft trail @tr@ so that an arrow with head width @hw@ and tail+--   width @tw@ has offset @t@. scaleFactor :: TypeableFloat n => Trail V2 n -> n -> n -> n -> n scaleFactor tr tw hw t @@ -402,7 +402,7 @@     -- uniformly as the transformation applied to the entire arrow.     -- See https://github.com/diagrams/diagrams-lib/issues/112.     delayedArrow da g n =-      let (trans, globalSty) = option mempty untangle . fst $ da+      let (trans, globalSty) = maybe mempty untangle . fst $ da       in  dArrow globalSty trans len g n      -- Build an arrow and set its endpoints to the image under tr of origin and (len,0).@@ -423,7 +423,7 @@         opts' = opts           & headStyle  %~ maybe id fillTexture globalLC           & tailStyle  %~ maybe id fillTexture globalLC-          & shaftStyle %~ applyStyle sty+          & shaftStyle %~ applyStyle sty . transform tr          -- The head size, tail size, head gap, and tail gap are obtained         -- from the style and converted to output units.
src/Diagrams/TwoD/Arrowheads.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts          #-} {-# LANGUAGE NoMonomorphismRestriction #-} {-# LANGUAGE ScopedTypeVariables       #-}@@ -60,7 +61,7 @@        ) where  import           Control.Lens            ((&), (.~), (<>~), (^.))-import           Data.Default.Class+import           Data.Default import           Data.Monoid             (mempty, (<>))  import           Diagrams.Angle
src/Diagrams/TwoD/Attributes.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE CPP                        #-}+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE DeriveFunctor              #-} {-# LANGUAGE FlexibleContexts           #-}@@ -10,7 +10,6 @@ {-# LANGUAGE TemplateHaskell            #-} {-# LANGUAGE TypeFamilies               #-} {-# LANGUAGE UndecidableInstances       #-}-{-# LANGUAGE ViewPatterns               #-}  ----------------------------------------------------------------------------- -- |@@ -66,7 +65,7 @@ import           Control.Lens                hiding (transform) import           Data.Colour                 hiding (AffineSpace, over) import           Data.Data-import           Data.Default.Class+import           Data.Default import           Data.Monoid.Recommend import           Data.Semigroup 
src/Diagrams/TwoD/Combinators.hs view
@@ -1,7 +1,12 @@+{-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE ScopedTypeVariables   #-} {-# LANGUAGE TypeFamilies          #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Combinators@@ -31,7 +36,7 @@      , extrudeLeft, extrudeRight, extrudeBottom, extrudeTop -    , rectEnvelope+    , rectEnvelope, crop      , boundingRect, bg, bgFrame @@ -39,7 +44,7 @@  import           Control.Lens             ((&), (.~)) import           Data.Colour-import           Data.Default.Class+import           Data.Default import           Data.Semigroup  import           Diagrams.Core@@ -48,6 +53,7 @@ import           Diagrams.BoundingBox import           Diagrams.Combinators import           Diagrams.Path+import           Diagrams.Query           (value) import           Diagrams.Segment import           Diagrams.TrailLike import           Diagrams.TwoD.Align@@ -244,6 +250,11 @@      => Point V2 n -> V2 n -> QDiagram b V2 n m -> QDiagram b V2 n m rectEnvelope p (V2 w h) = withEnvelope (rect w h # alignBL # moveTo p :: Path V2 n) +-- | A synonym for 'rectEnvelope'.+crop :: forall b n m. (OrderedField n, Monoid' m)+     => Point V2 n -> V2 n -> QDiagram b V2 n m -> QDiagram b V2 n m+crop = rectEnvelope+ -- | Construct a bounding rectangle for an enveloped object, that is, --   the smallest axis-aligned rectangle which encloses the object. boundingRect :: ( InSpace V2 n a, SameSpace a t@@ -254,12 +265,15 @@  -- | \"Set the background color\" of a diagram.  That is, place a --   diagram atop a bounding rectangle of the given color.-bg :: (TypeableFloat n, Renderable (Path V2 n) b) => Colour Double -> QDiagram b V2 n Any -> QDiagram b V2 n Any-bg c d = d <> boundingRect d # lwO 0 # fc c+--   The background does not change the result of queries.+bg :: (TypeableFloat n, Renderable (Path V2 n) b, Monoid' q)+    => Colour Double -> QDiagram b V2 n q -> QDiagram b V2 n q+bg c d = d <> boundingRect d # lwO 0 # fc c # value mempty  -- | Similar to 'bg' but makes the colored background rectangle larger than --   the diagram. The first parameter is used to set how far the background --   extends beyond the diagram.-bgFrame :: (TypeableFloat n, Renderable (Path V2 n) b)-    => n -> Colour Double -> QDiagram b V2 n Any -> QDiagram b V2 n Any-bgFrame f c d = d <> boundingRect (frame f d) # lwO 0 # fc c+--   The background does not change the result of queries.+bgFrame :: (TypeableFloat n, Renderable (Path V2 n) b, Monoid' q)+    => n -> Colour Double -> QDiagram b V2 n q -> QDiagram b V2 n q+bgFrame f c d = d <> boundingRect (frame f d) # lwO 0 # fc c # value mempty
src/Diagrams/TwoD/Ellipse.hs view
@@ -1,6 +1,7 @@ {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE TypeOperators         #-} {-# LANGUAGE TypeSynonymInstances  #-} ----------------------------------------------------------------------------- -- |
src/Diagrams/TwoD/Image.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds       #-} {-# LANGUAGE DeriveDataTypeable    #-} {-# LANGUAGE EmptyDataDecls        #-} {-# LANGUAGE FlexibleContexts      #-}@@ -25,7 +26,9 @@       DImage(..), ImageData(..)     , Embedded, External, Native     , image+    , embeddedImage     , loadImageEmb+    , loadImageEmbBS     , loadImageExt     , uncheckedImageRef     , raster@@ -33,29 +36,33 @@     ) where  import           Codec.Picture-import           Codec.Picture.Types  (dynamicMap)  import           Data.Colour          (AlphaColour)+import           Data.Kind            (Type) import           Data.Semigroup import           Data.Typeable        (Typeable)  import           Diagrams.Core  import           Diagrams.Attributes  (colorToSRGBA)+import           Diagrams.Path        (Path)+import           Diagrams.Query import           Diagrams.TwoD.Path   (isInsideEvenOdd) import           Diagrams.TwoD.Shapes (rect) import           Diagrams.TwoD.Types +import           Data.ByteString+ import           Linear.Affine  data Embedded deriving Typeable data External deriving Typeable-data Native (t :: *) deriving Typeable+data Native (t :: Type) deriving Typeable  -- | 'ImageData' is either a JuicyPixels @DynamicImage@ tagged as 'Embedded' or --   a reference tagged as 'External'. Additionally 'Native' is provided for --   external libraries to hook into.-data ImageData :: * -> * where+data ImageData :: Type -> Type where   ImageRaster :: DynamicImage -> ImageData Embedded   ImageRef    :: FilePath -> ImageData External   ImageNative :: t -> ImageData (Native t)@@ -65,13 +72,19 @@ --   Will typically be created by @loadImageEmb@ or @loadImageExt@ which, --   will handle setting the width and height to the actual width and height --   of the image.-data DImage :: * -> * -> * where+data DImage :: Type -> Type -> Type where   DImage :: ImageData t -> Int -> Int -> Transformation V2 n -> DImage n t   deriving Typeable  type instance V (DImage n a) = V2 type instance N (DImage n a) = n +instance RealFloat n => HasQuery (DImage n a) Any where+  getQuery (DImage _ w h _) = -- transform t $+    Query $ \p -> Any (isInsideEvenOdd r p)+    where+    r = rectPath (fromIntegral w) (fromIntegral h)+ instance Fractional n => Transformable (DImage n a) where   transform t1 (DImage iD w h t2) = DImage iD w h (t1 <> t2) @@ -86,22 +99,31 @@          (getEnvelope r)          (getTrace r)          mempty-         (Query $ \p -> Any (isInsideEvenOdd p r))+         (Query $ \p -> Any (isInsideEvenOdd r p))   where-    r = rect (fromIntegral w) (fromIntegral h)+    r = rectPath (fromIntegral w) (fromIntegral h)+    -- should we use the transform here?     DImage _ w h _ = img --- | Use JuicyPixels to read an image in any format and wrap it in a 'DImage'.+rectPath :: RealFloat n => n -> n -> Path V2 n+rectPath = rect++-- | Read a JuicyPixels @DynamicImage@ and wrap it in a 'DImage'. --   The width and height of the image are set to their actual values.+embeddedImage :: Num n => DynamicImage -> DImage n Embedded+embeddedImage img = DImage (ImageRaster img) w h mempty+  where+    w = dynamicMap imageWidth img+    h = dynamicMap imageHeight img++-- | Use JuicyPixels to read a file in any format and wrap it in a 'DImage'.+--   The width and height of the image are set to their actual values. loadImageEmb :: Num n => FilePath -> IO (Either String (DImage n Embedded))-loadImageEmb path = do-  dImg <- readImage path-  return $ case dImg of-    Left msg  -> Left msg-    Right img -> Right (DImage (ImageRaster img) w h mempty)-      where-        w = dynamicMap imageWidth img-        h = dynamicMap imageHeight img+loadImageEmb path = fmap embeddedImage `fmap` readImage path++-- | A pure variant of 'loadImageEmb'+loadImageEmbBS :: Num n => ByteString -> Either String (DImage n Embedded)+loadImageEmbBS bs = embeddedImage `fmap` decodeImage bs  -- | Check that a file exists, and use JuicyPixels to figure out --   the right size, but save a reference to the image instead
src/Diagrams/TwoD/Model.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE TemplateHaskell       #-}@@ -37,7 +38,7 @@ import           Control.Lens             (makeLenses, (^.)) import           Data.Colour              (Colour) import           Data.Colour.Names-import           Data.Default.Class+import           Data.Default import           Data.List                (intercalate) import qualified Data.Map                 as M import           Data.Maybe               (catMaybes)
src/Diagrams/TwoD/Offset.hs view
@@ -1,11 +1,16 @@+{-# LANGUAGE ConstraintKinds      #-} {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE GADTs                #-} {-# LANGUAGE StandaloneDeriving   #-} {-# LANGUAGE TemplateHaskell      #-} {-# LANGUAGE TypeFamilies         #-}+{-# LANGUAGE TypeOperators        #-} {-# LANGUAGE UndecidableInstances #-} {-# LANGUAGE ViewPatterns         #-} +{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Offset@@ -15,7 +20,7 @@ -- -- Compute offsets to segments in two dimensions.  More details can be -- found in the manual at--- <http://projects.haskell.org/diagrams/doc/manual.html#offsets-of-segments-trails-and-paths>.+-- <https://diagrams.github.io/doc/manual.html#offsets-of-segments-trails-and-paths>. -- ----------------------------------------------------------------------------- module Diagrams.TwoD.Offset@@ -48,7 +53,7 @@ import           Data.Monoid import           Data.Monoid.Inf -import           Data.Default.Class+import           Data.Default  import           Diagrams.Core @@ -304,7 +309,7 @@ -- "right" make sense. -- -- > import Diagrams.TwoD.Offset--- > import Data.Default.Class+-- > import Data.Default -- > -- > corner :: (OrderedField n) => Located (Trail V2 n) -- > corner = fromVertices (map p2 [(0, 0), (10, 0), (5, 6)]) `at` origin@@ -404,7 +409,7 @@ expandPath = expandPath' def  -- > import Diagrams.TwoD.Offset--- > import Data.Default.Class+-- > import Data.Default -- > -- > expandTrailExample :: Diagram SVG -- > expandTrailExample = pad 1.1 . centerXY . hcat' (def & sep .~ 1)@@ -470,8 +475,8 @@ capArc :: RealFloat n => n -> Point V2 n -> Point V2 n -> Point V2 n -> Trail V2 n capArc r c a b = trailLike . moveTo c $ fs   where-    fs | r < 0     = scale (-r) $ arcCW  (dirBetween a c) (dirBetween b c)-       | otherwise = scale r    $ arcCCW (dirBetween a c) (dirBetween b c)+    fs | r < 0     = scale (-r) $ arcCW  (dirBetween c a) (dirBetween c b)+       | otherwise = scale r    $ arcCCW (dirBetween c a) (dirBetween c b)  -- | Join together a list of located trails with the given join style.  The --   style is given as a function to compute the join given the local information
src/Diagrams/TwoD/Path.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE FlexibleInstances          #-}@@ -7,13 +8,16 @@ {-# LANGUAGE StandaloneDeriving         #-} {-# LANGUAGE TemplateHaskell            #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} {-# LANGUAGE UndecidableInstances       #-} {-# LANGUAGE ViewPatterns               #-}+ {-# OPTIONS_GHC -fno-warn-orphans #-}+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Path--- Copyright   :  (c) 2011 diagrams-lib team (see LICENSE)+-- Copyright   :  (c) 2011-2015 diagrams-lib team (see LICENSE) -- License     :  BSD-style (see LICENSE) -- Maintainer  :  diagrams-discuss@googlegroups.com --@@ -25,35 +29,37 @@ -----------------------------------------------------------------------------  module Diagrams.TwoD.Path-       ( -- * Constructing path-based diagrams+  ( -- * Constructing path-based diagrams -         stroke, stroke'-       , strokePath, strokeP, strokePath', strokeP'-       , strokeTrail, strokeT, strokeTrail', strokeT'-       , strokeLine, strokeLoop-       , strokeLocTrail, strokeLocT, strokeLocLine, strokeLocLoop+    stroke, stroke'+  , strokePath, strokeP, strokePath', strokeP'+  , strokeTrail, strokeT, strokeTrail', strokeT'+  , strokeLine, strokeLoop+  , strokeLocTrail, strokeLocT, strokeLocLine, strokeLocLoop -         -- ** Stroke options+    -- ** Stroke options -       , FillRule(..)-       , getFillRule, fillRule, _fillRule-       , StrokeOpts(..), vertexNames, queryFillRule+  , FillRule(..)+  , getFillRule, fillRule, _fillRule+  , StrokeOpts(..), vertexNames, queryFillRule -         -- ** Inside/outside testing+    -- ** Inside/outside testing -       , isInsideWinding, isInsideEvenOdd+  , Crossings (..)+  , isInsideWinding+  , isInsideEvenOdd -         -- * Clipping+    -- * Clipping -       , Clip(..), _Clip, _clip-       , clipBy, clipTo, clipped+  , Clip(..), _Clip, _clip+  , clipBy, clipTo, clipped -         -- * Intersections+    -- * Intersections -       , intersectPoints, intersectPoints'-       , intersectPointsP, intersectPointsP'-       , intersectPointsT, intersectPointsT'-       ) where+  , intersectPoints, intersectPoints'+  , intersectPointsP, intersectPointsP'+  , intersectPointsT, intersectPointsT'+  ) where  import           Control.Applicative       (liftA2) import           Control.Lens              hiding (at, transform)@@ -61,7 +67,7 @@ import           Data.Semigroup import           Data.Typeable -import           Data.Default.Class+import           Data.Default  import           Diagrams.Angle import           Diagrams.Combinators      (withEnvelope, withTrace)@@ -70,6 +76,7 @@ import           Diagrams.Located          (Located, mapLoc, unLoc) import           Diagrams.Parametric import           Diagrams.Path+import           Diagrams.Query import           Diagrams.Segment import           Diagrams.Solve.Polynomial import           Diagrams.Trail@@ -107,14 +114,14 @@ -- | Enumeration of algorithms or \"rules\" for determining which --   points lie in the interior of a (possibly self-intersecting) --   path.-data FillRule = Winding  -- ^ Interior points are those with a nonzero-                         --   /winding/ /number/.  See-                         --   <http://en.wikipedia.org/wiki/Nonzero-rule>.-              | EvenOdd  -- ^ Interior points are those where a ray-                         --   extended infinitely in a particular-                         --   direction crosses the path an odd number-                         --   of times. See-                         --   <http://en.wikipedia.org/wiki/Even-odd_rule>.+data FillRule+  = Winding  -- ^ Interior points are those with a nonzero+             --   /winding/ /number/.  See+             --   <http://en.wikipedia.org/wiki/Nonzero-rule>.+  | EvenOdd  -- ^ Interior points are those where a ray+             --   extended infinitely in a particular direction crosses+             --   the path an odd number of times. See+             --   <http://en.wikipedia.org/wiki/Even-odd_rule>.     deriving (Show, Typeable, Eq, Ord)  instance AttributeClass FillRule@@ -147,14 +154,13 @@ -- --   The default value is the empty list. -vertexNames :: forall a a'. Lens (StrokeOpts a) (StrokeOpts a') [[a]] [[a']]+vertexNames :: Lens (StrokeOpts a) (StrokeOpts a') [[a]] [[a']]  -- | The fill rule used for determining which points are inside the path. --   The default is 'Winding'.  NOTE: for now, this only affects the resulting --   diagram's 'Query', /not/ how it will be drawn!  To set the fill rule --   determining how it is to be drawn, use the 'fillRule' function.-queryFillRule :: forall a. Lens' (StrokeOpts a) FillRule-+queryFillRule :: Lens' (StrokeOpts a) FillRule  instance Default (StrokeOpts a) where   def = StrokeOpts@@ -167,6 +173,13 @@ -- --   See also 'stroke'', which takes an extra options record allowing --   its behaviour to be customized.+--+-- @+-- 'stroke' :: 'Path' 'V2' 'Double'                  -> 'Diagram' b+-- 'stroke' :: 'Located' ('Trail' 'V2' 'Double')       -> 'Diagram' b+-- 'stroke' :: 'Located' ('Trail'' 'Loop' 'V2' 'Double') -> 'Diagram' b+-- 'stroke' :: 'Located' ('Trail'' 'Line' 'V2' 'Double') -> 'Diagram' b+-- @ stroke :: (InSpace V2 n t, ToPath t, TypeableFloat n, Renderable (Path V2 n) b)        => t -> QDiagram b V2 n Any stroke = strokeP . toPath@@ -212,7 +225,7 @@          (fromNames . concat $            zipWith zip (opts^.vertexNames) ((map . map) subPoint (pathVertices p))          )-         (Query $ Any . flip (runFillRule (opts^.queryFillRule)) p)+         (Query $ Any . (runFillRule (opts^.queryFillRule)) p)  -- | 'stroke'' specialised to 'Path'. strokePath' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a)@@ -279,7 +292,7 @@ --  Inside/outside testing ------------------------------------------------------------ -runFillRule :: RealFloat n => FillRule -> Point V2 n -> Path V2 n -> Bool+runFillRule :: RealFloat n => FillRule -> Path V2 n -> Point V2 n -> Bool runFillRule Winding = isInsideWinding runFillRule EvenOdd = isInsideEvenOdd @@ -296,14 +309,57 @@ _fillRule :: Lens' (Style V2 n) FillRule _fillRule = atAttr . non def --- XXX link to more info on this+-- | The sum of /signed/ crossings of a path as we travel in the+--   positive x direction from a given point.+--+--     - A point is filled according to the 'Winding' fill rule, if the+--       number of 'Crossings' is non-zero (see 'isInsideWinding').+--+--     - A point is filled according to the 'EvenOdd' fill rule, if the+--       number of 'Crossings' is odd (see 'isInsideEvenOdd').+--+--   This is the 'HasQuery' result for 'Path's, 'Located' 'Trail's and+--   'Located' 'Loops'.+--+-- @+-- 'sample' :: 'Path' 'V2' 'Double'                  -> 'Point' 'V2' 'Double' -> 'Crossings'+-- 'sample' :: 'Located' ('Trail' 'V2' 'Double')       -> 'Point' 'V2' 'Double' -> 'Crossings'+-- 'sample' :: 'Located' ('Trail'' 'Loop' 'V2' 'Double') -> 'Point' 'V2' 'Double' -> 'Crossings'+-- @+--+--   Note that 'Line's have no inside or outside, so don't contribute+--   crossings+newtype Crossings = Crossings Int+  deriving (Show, Eq, Ord, Num, Enum, Real, Integral) +instance Semigroup Crossings where+  Crossings a <> Crossings b = Crossings (a + b)++instance Monoid Crossings where+  mempty  = Crossings 0+  mappend = (<>)++instance RealFloat n => HasQuery (Located (Trail V2 n)) Crossings where+  getQuery trail = Query $ \p -> trailCrossings p trail++instance RealFloat n => HasQuery (Located (Trail' l V2 n)) Crossings where+  getQuery trail' = getQuery (mapLoc Trail trail')++instance RealFloat n => HasQuery (Path V2 n) Crossings where+  getQuery = foldMapOf each getQuery+ -- | Test whether the given point is inside the given path, --   by testing whether the point's /winding number/ is nonzero. Note --   that @False@ is /always/ returned for paths consisting of lines --   (as opposed to loops), regardless of the winding number.-isInsideWinding :: RealFloat n => Point V2 n -> Path V2 n -> Bool-isInsideWinding p = (/= 0) . crossings p+--+-- @+-- 'isInsideWinding' :: 'Path' 'V2' 'Double'                  -> 'Point' 'V2' 'Double' -> 'Bool'+-- 'isInsideWinding' :: 'Located' ('Trail' 'V2' 'Double')       -> 'Point' 'V2' 'Double' -> 'Bool'+-- 'isInsideWinding' :: 'Located' ('Trail'' 'Loop' 'V2' 'Double') -> 'Point' 'V2' 'Double' -> 'Bool'+-- @+isInsideWinding :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool+isInsideWinding t = (/= 0) . sample t  -- | Test whether the given point is inside the given path, --   by testing whether a ray extending from the point in the positive@@ -311,23 +367,24 @@ --   number of times.  Note that @False@ is /always/ returned for --   paths consisting of lines (as opposed to loops), regardless of --   the number of crossings.-isInsideEvenOdd :: RealFloat n => Point V2 n -> Path V2 n -> Bool-isInsideEvenOdd p = odd . crossings p---- | Compute the sum of /signed/ crossings of a path as we travel in the---   positive x direction from a given point.-crossings :: RealFloat n => Point V2 n -> Path V2 n -> Int-crossings p = F.sum . map (trailCrossings p) . op Path+--+-- @+-- 'isInsideEvenOdd' :: 'Path' 'V2' 'Double'                  -> 'Point' 'V2' 'Double' -> 'Bool'+-- 'isInsideEvenOdd' :: 'Located' ('Trail' 'V2' 'Double')       -> 'Point' 'V2' 'Double' -> 'Bool'+-- 'isInsideEvenOdd' :: 'Located' ('Trail'' 'Loop' 'V2' 'Double') -> 'Point' 'V2' 'Double' -> 'Bool'+-- @+isInsideEvenOdd :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool+isInsideEvenOdd t = odd . sample t  -- | Compute the sum of signed crossings of a trail starting from the --   given point in the positive x direction.-trailCrossings :: RealFloat n => Point V2 n -> Located (Trail V2 n) -> Int+trailCrossings :: RealFloat n => Point V2 n -> Located (Trail V2 n) -> Crossings    -- non-loop trails have no inside or outside, so don't contribute crossings trailCrossings _ t | not (isLoop (unLoc t)) = 0  trailCrossings p@(unp2 -> (x,y)) tr-  = sum . map test $ fixTrail tr+  = F.foldMap test $ fixTrail tr   where     test (FLinear a@(unp2 -> (_,ay)) b@(unp2 -> (_,by)))       | ay <= y && by > y && isLeft a b > 0 =  1@@ -383,6 +440,12 @@ instance (OrderedField n) => Transformable (Clip n) where   transform t (Clip ps) = Clip (transform t ps) +-- | A point inside a clip if the point is in 'All' invididual clipping+--   paths.+instance RealFloat n => HasQuery (Clip n) All where+  getQuery (Clip paths) = Query $ \p ->+    F.foldMap (All . flip isInsideWinding p) paths+ _Clip :: Iso (Clip n) (Clip n') [Path V2 n] [Path V2 n'] _Clip = _Wrapped @@ -420,7 +483,7 @@         -- or on boundary of p, inside d         onSortedList (filter dInside) (appTrace (getTrace p) pt v) where           newPt dist = pt .+^ v ^* dist-          pInside dDist = runFillRule Winding (newPt dDist) p+          pInside dDist = runFillRule Winding p (newPt dDist)           dInside pDist = getAny . sample d $ newPt pDist  -- | Clip a diagram to the clip path taking the envelope and trace of the clip@@ -436,7 +499,7 @@ -- | Find the intersect points of two objects that can be converted to a path. intersectPoints :: (InSpace V2 n t, SameSpace t s, ToPath t, ToPath s, OrderedField n)   => t -> s -> [P2 n]-intersectPoints = intersectPoints' 1e-10+intersectPoints = intersectPoints' 1e-8  -- | Find the intersect points of two objects that can be converted to a path --   within the given tolerance.@@ -446,7 +509,7 @@  -- | Compute the intersect points between two paths. intersectPointsP :: OrderedField n => Path V2 n -> Path V2 n -> [P2 n]-intersectPointsP = intersectPointsP' 1e-10+intersectPointsP = intersectPointsP' 1e-8  -- | Compute the intersect points between two paths within given tolerance. intersectPointsP' :: OrderedField n => n -> Path V2 n -> Path V2 n -> [P2 n]@@ -457,7 +520,7 @@  -- | Compute the intersect points between two located trails. intersectPointsT :: OrderedField n => Located (Trail V2 n) -> Located (Trail V2 n) -> [P2 n]-intersectPointsT = intersectPointsT' 1e-10+intersectPointsT = intersectPointsT' 1e-8  -- | Compute the intersect points between two located trails within the given --   tolerance.
src/Diagrams/TwoD/Points.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Points
src/Diagrams/TwoD/Polygons.hs view
@@ -1,4 +1,4 @@-{-# LANGUAGE CPP       #-}+{-# LANGUAGE ConstraintKinds     #-} {-# LANGUAGE DeriveFunctor       #-} {-# LANGUAGE FlexibleContexts    #-} {-# LANGUAGE ScopedTypeVariables #-}@@ -46,31 +46,27 @@      ) where -import           Control.Lens            (Lens', generateSignatures, lensRules,-                                          makeLensesWith, view, (.~), (^.))-import           Control.Monad           (forM, liftM)-import           Control.Monad.ST        (ST, runST)-import           Data.Array.ST           (STUArray, newArray, readArray,-                                          writeArray)-import           Data.Default.Class-import           Data.List               (maximumBy, minimumBy)-import           Data.Maybe              (catMaybes)-#if __GLASGOW_HASKELL__ < 710-import           Data.Monoid             (mconcat, mempty)-#endif-import           Data.Ord                (comparing)+import           Control.Lens         (Lens', generateSignatures, lensRules,+                                       makeLensesWith, view, (.~), (^.))+import           Control.Monad        (forM, liftM)+import           Control.Monad.ST     (ST, runST)+import           Data.Array.ST        (STUArray, newArray, readArray,+                                       writeArray)+import           Data.Default+import           Data.List            (maximumBy, minimumBy)+import           Data.Maybe           (catMaybes)+import           Data.Ord             (comparing)  import           Diagrams.Angle import           Diagrams.Core import           Diagrams.Located import           Diagrams.Path-import           Diagrams.Points         (centroid)+import           Diagrams.Points      (centroid) import           Diagrams.Trail import           Diagrams.TrailLike-import           Diagrams.TwoD.Transform import           Diagrams.TwoD.Types-import           Diagrams.TwoD.Vector    (leftTurn, unitX, unitY, unit_Y)-import           Diagrams.Util           (tau, ( # ))+import           Diagrams.TwoD.Vector (leftTurn, unitX, unitY, unit_Y)+import           Diagrams.Util        (tau, ( # ))  import           Linear.Affine import           Linear.Metric@@ -127,10 +123,10 @@ -- | Determine how a polygon should be oriented. data PolyOrientation n = NoOrient        -- ^ No special orientation; the first                                          --   vertex will be at (1,0).-                                         --   This is the default.                        | OrientH         -- ^ Orient /horizontally/, so the                                          --   bottommost edge is parallel to                                          --   the x-axis.+                                         --   This is the default.                        | OrientV         -- ^ Orient /vertically/, so the                                          --   leftmost edge is parallel to the                                          --   y-axis.@@ -174,10 +170,10 @@             PolySides ans szs -> polySidesTrail ans szs             PolyRegular n r   -> polyRegularTrail n r         ori = case po^.polyOrient of-            OrientH      -> orient unit_Y tr-            OrientV      -> orient unitX  tr-            OrientTo v   -> orient v      tr-            NoOrient     -> mempty+            OrientH    -> orient unit_Y tr+            OrientV    -> orient unitX  tr+            OrientTo v -> orient v      tr+            NoOrient   -> mempty  -- | Generate the polygon described by the given options. polygon :: (InSpace V2 n t, TrailLike t) => PolygonOpts n -> t@@ -222,6 +218,8 @@ orient v = orientPoints v . trailVertices  orientPoints :: OrderedField n => V2 n -> [Point V2 n] -> Transformation V2 n+orientPoints _ [] = mempty+orientPoints _ [_] = mempty orientPoints v xs = rotation a   where     (n1,x,n2) = maximumBy (comparing (distAlong v . sndOf3))
src/Diagrams/TwoD/Segment.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts     #-} {-# LANGUAGE FlexibleInstances    #-} {-# LANGUAGE TypeFamilies         #-}@@ -168,6 +169,14 @@   go p q tmin tmax umin umax clip revCurves     | isNothing chopInterval = [] +    -- This check happens before the subdivision+    -- test to avoid non-termination as values+    -- transition to within epsilon.+    | max (umax - umin) (tmax' - tmin') < eps =+      if revCurves -- return parameters in correct order+      then [ (avg umin  umax,  avg tmin' tmax') ]+      else [ (avg tmin' tmax', avg umin  umax ) ]+     -- split the curve if there isn't enough reduction     | clip > 0.8 && clip' > 0.8 =       if tmax' - tmin' > umax - umin -- split the longest segment@@ -180,11 +189,6 @@            in  go ql p' umin umid tmin' tmax' clip' (not revCurves) ++                go qr p' umid umax tmin' tmax' clip' (not revCurves) -    | max (umax - umin) (tmax' - tmin') < eps =-      if revCurves -- return parameters in correct order-      then [ (avg umin  umax,  avg tmin' tmax') ]-      else [ (avg tmin' tmax', avg umin  umax ) ]-     -- iterate with the curves reversed.     | otherwise = go q p' umin umax tmin' tmax' clip' (not revCurves)     where@@ -205,22 +209,32 @@                -> n   -- ^ The upper bound of the interval                -> [n] -- ^ The roots found bezierFindRoot eps p tmin tmax-  | isNothing chopInterval    = []-  | clip > 0.8 = let (p1, p2) = splitAtParam newP 0.5-                     tmid     = tmin' + (tmax' - tmin') / 2-                 in  bezierFindRoot eps p1 tmin' tmid  ++-                     bezierFindRoot eps p2 tmid  tmax'-  | tmax' - tmin' < eps = [avg tmin' tmax']-  | otherwise           = bezierFindRoot eps newP tmin' tmax'-  where-    chopInterval              = chopYs (bernsteinCoeffs p)-    Just (tminChop, tmaxChop) = chopInterval-    newP  = section p tminChop tmaxChop-    clip  = tmaxChop - tminChop-    tmin' = tmax * tminChop + tmin * (1 - tminChop)-    tmax' = tmax * tmaxChop + tmin * (1 - tmaxChop)--+  -- If we generated the max number of roots and tmax is also a root+  -- (which is not among the generated ones), there must in fact be an+  -- infinite number of roots, so just include tmax.+  | length roots == bernsteinDegree p && last roots /= tmax && abs (evaluateBernstein p tmax) <= eps+  = roots ++ [tmax]+  | otherwise = roots+ where+  -- Lazily take a number of roots at most the degree of the bernstein+  -- polynomial, to avoid generating a ton of roots in the case of a+  -- straight Bezier segment along the x-axis. See https://github.com/diagrams/diagrams-contrib/issues/91 .+  roots = take (bernsteinDegree p) $ go p tmin tmax+  go p tmin tmax+    | isNothing chopInterval = []+    | tmax' - tmin' < eps = [avg tmin' tmax']+    | clip > 0.8 = let (p1, p2) = splitAtParam newP 0.5+                       tmid     = tmin' + (tmax' - tmin') / 2+                   in  go p1 tmin' tmid  +++                       go p2 tmid  tmax'+    | otherwise = bezierFindRoot eps newP tmin' tmax'+    where+      chopInterval              = chopYs (bernsteinCoeffs p)+      Just (tminChop, tmaxChop) = chopInterval+      newP  = section p tminChop tmaxChop+      clip  = tmaxChop - tminChop+      tmin' = tmax * tminChop + tmin * (1 - tminChop)+      tmax' = tmax * tmaxChop + tmin * (1 - tmaxChop)  ------------------------------------------------------------------------ -- Internal@@ -280,11 +294,21 @@         | otherwise = continue        testAbove (p1@(P (V2 _ y1)) : p2@(P (V2 _ y2)) : ps)-        | y1 < y2   = Nothing-        | y2 > dmax = testAbove (p2:ps)-        | otherwise = Just $ intersectPt dmax p1 p2-      testAbove _   = Nothing+        | y1 < y2      = Nothing+        | y2 > dmax    = testAbove (p2:ps)+        | y2 - y1 == 0 = Nothing  -- Check this condition to prevent+                                  -- division by zero in `intersectPt`.+        | otherwise    = Just $ intersectPt dmax p1 p2+      testAbove _      = Nothing +      -- find the x value where the line through the two points+      -- intersect the line y=d.  Note that `y2 - y1 != 0` due+      -- to checks above.+      intersectPt d (P (V2 x1 y1)) (P (V2 x2 y2)) =+          x1 + (d - y1) * (x2 - x1) / (y2 - y1)+++ bezierToBernstein :: Fractional n => FixedSegment V2 n -> (BernsteinPoly n, BernsteinPoly n) bezierToBernstein seg =     (listToBernstein $ map (view _x) coeffs, listToBernstein $ map (view _y) coeffs)@@ -296,28 +320,30 @@  -- Could split this into a separate module. --- | Returns @(a, b, c)@ such that @ax + by + c = 0@ is the line going through---   @p1@ and @p2@ with @a^2 + b^2 = 1@.-lineEquation :: Floating n => P2 n -> P2 n -> (n, n, n)-lineEquation (P (V2 x1 y1)) (P (V2 x2 y2)) = (a, b, c)+-- | Returns @(a, b, c, d)@ such that @ax + by + c = 0@ is the line going through+--   @p1@ and @p2@ with @(a^2)/d + (b^2)/d = 1@.  We delay the division by+--   @d@ as it may not be needed in all cases and @d@ may be zero.+lineEquation :: Floating n => P2 n -> P2 n -> (n, n, n, n)+lineEquation (P (V2 x1 y1)) (P (V2 x2 y2)) = (a, b, c, d)   where-    a  = a' / d-    b  = b' / d-    c  = -(x1*a' + y1*b') / d-    a' = y1 - y2-    b' = x2 - x1-    d  = sqrt $ a'*a' + b'*b'+    c  = -(x1*a + y1*b)+    a = y1 - y2+    b = x2 - x1+    d  = a*a + b*b  -- | Return the distance from a point to the line.-lineDistance :: Floating n => P2 n -> P2 n -> P2 n -> n-lineDistance p1 p2 (P (V2 x y)) = a*x + b*y + c-  where (a, b, c) = lineEquation p1 p2---- find the x value where the line through the two points--- intersect the line y=d-intersectPt :: OrderedField n => n -> P2 n -> P2 n -> n-intersectPt d (P (V2 x1 y1)) (P (V2 x2 y2)) =-  x1 + (d - y1) * (x2 - x1) / (y2 - y1)+lineDistance :: (Ord n, Floating n) => P2 n -> P2 n -> P2 n -> n+lineDistance p1 p2 p3@(P (V2 x y))+    -- I have included the check that d' <= 0 in case+    -- there exists some d > 0 where sqrt d == 0.  I don't+    -- think this can happen as sqrt is at least recommended+    -- to be within one value of correct for sqrt and near+    -- zero values get bigger.+    | d <= 0 || d' <= 0 = norm (p1 .-. p3)+    | otherwise = (a*x + b*y + c) / d'+  where+    (a, b, c, d) = lineEquation p1 p2+    d' = sqrt d  -- clockwise :: (Num n, Ord n) => V2 n -> V2 n -> Bool -- clockwise a b = a `cross2` b <= 0@@ -345,6 +371,9 @@ segLine (FLinear p0 p1)    = mkLine p0 p1 segLine (FCubic p0 _ _ p3) = mkLine p0 p3 +-- This function uses `defEps`, but is used in functions+-- above that take an epsilon parameter.  It would be nice+-- to clearify the meaning of each of these epsilons. inRange :: (Fractional n, Ord n) => n -> Bool inRange x = x < (1+defEps) && x > (-defEps) 
src/Diagrams/TwoD/Shapes.hs view
@@ -1,7 +1,11 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE TemplateHaskell  #-} {-# LANGUAGE TypeFamilies     #-} +{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Shapes@@ -46,7 +50,7 @@        ) where  import           Control.Lens            (makeLenses, op, (&), (.~), (<>~), (^.))-import           Data.Default.Class+import           Data.Default import           Data.Semigroup  import           Diagrams.Core
src/Diagrams/TwoD/Size.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE TypeFamilies     #-} 
src/Diagrams/TwoD/Text.hs view
@@ -1,10 +1,11 @@-{-# LANGUAGE CPP                        #-}+{-# LANGUAGE ConstraintKinds            #-} {-# LANGUAGE DeriveDataTypeable         #-} {-# LANGUAGE FlexibleContexts           #-} {-# LANGUAGE FlexibleInstances          #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-} {-# LANGUAGE MultiParamTypeClasses      #-} {-# LANGUAGE TypeFamilies               #-}+{-# LANGUAGE TypeOperators              #-} {-# LANGUAGE UndecidableInstances       #-}  -----------------------------------------------------------------------------@@ -21,23 +22,31 @@ module Diagrams.TwoD.Text (   -- * Creating text diagrams     Text(..), TextAlignment(..)-  , text, topLeftText, alignedText, baselineText, mkText+  , text, topLeftText, alignedText, baselineText+  , mkText, mkText'    -- * Text attributes+   -- ** Font family   , Font(..), _Font   , getFont, font, _font+   -- ** Font size   , FontSize(..), _FontSize-  , getFontSize, fontSizeM, fontSize+  , fontSize, recommendFontSize   , fontSizeN, fontSizeO, fontSizeL, fontSizeG+  , getFontSize, fontSizeM   , _fontSizeR, _fontSize, _fontSizeU+   -- ** Font slant   , FontSlant(..)   , getFontSlant, fontSlant, italic, oblique, _fontSlant+   -- ** Font weight   , FontWeight(..)-  , getFontWeight, fontWeight, bold, _fontWeight+  , getFontWeight, fontWeight, bold, bolder, lighter, _fontWeight+  , thinWeight, ultraLight, light, mediumWeight, heavy, semiBold, ultraBold+   ) where  import           Control.Lens             hiding (transform)@@ -48,10 +57,7 @@ import           Diagrams.TwoD.Types  import           Data.Colour              hiding (over)-import           Data.Default.Class-#if __GLASGOW_HASKELL__ < 710-import           Data.Functor-#endif+import           Data.Default import           Data.Monoid.Recommend import           Data.Semigroup import           Data.Typeable@@ -88,20 +94,28 @@ -- | @TextAlignment@ specifies the alignment of the text's origin. data TextAlignment n = BaselineText | BoxAlignedText n n --- | Make a text from a 'TextAlignment'.+-- | Make a text from a 'TextAlignment', recommending a fill colour of+--   'black' and 'fontSize' of @'local' 1@. mkText :: (TypeableFloat n, Renderable (Text n) b)   => TextAlignment n -> String -> QDiagram b V2 n Any-mkText a t = recommendFillColor black-             -- See Note [recommendFillColor]-           . recommendFontSize (local 1)-             -- See Note [recommendFontSize]+mkText a = recommendFillColor black+           -- See Note [recommendFillColor]+         . recommendFontSize (local 1)+           -- See Note [recommendFontSize]+         . mkText' a -           $ mkQD (Prim $ Text mempty a t)-                       (pointEnvelope origin)-                       mempty-                       mempty-                       mempty+-- | Make a text from a 'TextAlignment' without any default size or fill+--   colour. This is useful is you want to recommend your own using+--   'recommendFillColor' or 'recommendFontSize'.+mkText' :: (TypeableFloat n, Renderable (Text n) b)+  => TextAlignment n -> String -> QDiagram b V2 n Any+mkText' a t = mkQD (Prim $ Text mempty a t)+                   (pointEnvelope origin)+                   mempty+                   mempty+                   mempty + -- ~~~~ Note [recommendFillColor]  -- The reason we "recommend" a fill color of black instead of setting@@ -123,10 +137,11 @@ -- user explicitly sets a fill color later it should override this -- recommendation; normally, the innermost occurrence of an attribute -- would override all outer occurrences.------ The reason we "recommend" a fill color of black instead of setting--- it directly (or instead of simply not specifying a fill color at +-- ~~~~ Note [recommendFontSize]+-- The reason we "recommend" a font size is so any local scales get+-- recorded.+ -- | Create a primitive text diagram from the given string, with center --   alignment, equivalent to @'alignedText' 0.5 0.5@. --@@ -234,11 +249,18 @@ getFontSize (FontSize (Commit (Last s)))    = s  -- | Set the font size, that is, the size of the font's em-square as---   measured within the current local vector space.  The default size---   is @1@.+--   measured within the current local vector space. The default size+--   is @local 1@ (which is applied by 'recommendFontSize'). fontSize :: (N a ~ n, Typeable n, HasStyle a) => Measure n -> a -> a fontSize = applyMAttr . fmap (FontSize . Commit . Last) +-- | 'Recommend' a font size. Any use of 'fontSize' above this will+--   overwrite any recommended size. This should only be used with+--   'mkText'', other text functions already has a recommended font+--   size so this will be ignored.+recommendFontSize :: (N a ~ n, Typeable n, HasStyle a) => Measure n -> a -> a+recommendFontSize = applyMAttr . fmap (FontSize . Recommend . Last)+ -- | A convenient synonym for 'fontSize (Global w)'. fontSizeG :: (N a ~ n, Typeable n, Num n, HasStyle a) => n -> a -> a fontSizeG = fontSize . global@@ -259,9 +281,6 @@ fontSizeM :: (N a ~ n, Typeable n, HasStyle a) => FontSizeM n -> a -> a fontSizeM = applyMAttr -recommendFontSize :: (N a ~ n, Typeable n, HasStyle a) => Measure n -> a -> a-recommendFontSize = applyMAttr . fmap (FontSize . Recommend . Last)- _fontSizeR :: (Typeable n, OrderedField n) => Lens' (Style v n) (Measured n (Recommend n)) _fontSizeR = atMAttr . anon def (const False) . _FontSizeM @@ -321,7 +340,17 @@ --   @FontWeightA@ attributes override outer ones. data FontWeight = FontWeightNormal                 | FontWeightBold-    deriving (Eq, Ord, Show, Typeable)+                | FontWeightBolder+                | FontWeightLighter+                | FontWeightThin+                | FontWeightUltraLight+                | FontWeightLight+                | FontWeightMedium+                | FontWeightSemiBold+                | FontWeightUltraBold+                | FontWeightHeavy+    deriving (Eq,+              Ord, Show, Typeable)  instance AttributeClass FontWeight @@ -336,7 +365,7 @@ getFontWeight :: FontWeight -> FontWeight getFontWeight = id --- | Specify the weight (normal or bold) that should be+-- | Specify the weight (normal, bolder, lighter or bold) that should be --   used for all text within a diagram.  See also 'bold' --   for a useful special case. fontWeight :: HasStyle a => FontWeight -> a -> a@@ -345,6 +374,42 @@ -- | Set all text using a bold font weight. bold :: HasStyle a => a -> a bold = fontWeight FontWeightBold++-- | Set all text using a thin font weight.+thinWeight :: HasStyle a => a -> a+thinWeight = fontWeight FontWeightThin++-- | Set all text using a extra light font weight.+ultraLight :: HasStyle a => a -> a+ultraLight = fontWeight FontWeightUltraLight++-- | Set all text using a light font weight.+light :: HasStyle a => a -> a+light = fontWeight FontWeightLight++-- | Set all text using a medium font weight.+mediumWeight :: HasStyle a => a -> a+mediumWeight = fontWeight FontWeightMedium++-- | Set all text using a semi-bold font weight.+semiBold :: HasStyle a => a -> a+semiBold = fontWeight FontWeightSemiBold++-- | Set all text using an ultra-bold font weight.+ultraBold :: HasStyle a => a -> a+ultraBold = fontWeight FontWeightUltraBold++-- | Set all text using a heavy/black font weight.+heavy :: HasStyle a => a -> a+heavy = fontWeight FontWeightHeavy++-- | Set all text to be bolder than the inherited font weight.+bolder :: HasStyle a => a -> a+bolder = fontWeight FontWeightBolder++-- | Set all text to be lighter than the inherited font weight.+lighter :: HasStyle a => a -> a+lighter = fontWeight FontWeightLighter  -- | Lens onto the font weight in a style. _fontWeight :: Lens' (Style v n) FontWeight
src/Diagrams/TwoD/Transform.hs view
@@ -1,3 +1,4 @@+{-# LANGUAGE ConstraintKinds #-} {-# LANGUAGE FlexibleContexts      #-} {-# LANGUAGE FlexibleInstances     #-} {-# LANGUAGE MultiParamTypeClasses #-}@@ -5,6 +6,10 @@ {-# LANGUAGE TypeFamilies          #-} {-# LANGUAGE TypeOperators         #-} {-# LANGUAGE ViewPatterns          #-}++{-# OPTIONS_GHC -fno-warn-unused-imports #-}+  -- for Data.Semigroup+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.TwoD.Transform@@ -23,7 +28,6 @@          T2          -- * Rotation        , rotation, rotate, rotateBy, rotated-        , rotationAround, rotateAround        , rotationTo, rotateTo @@ -40,9 +44,13 @@        , translationY, translateY        , translation, translate +         -- * Conformal affine maps+       , scalingRotationTo, scaleRotateTo+          -- * Reflection        , reflectionX, reflectX        , reflectionY, reflectY+       , reflectionXY, reflectXY        , reflectionAbout, reflectAbout           -- * Shears@@ -56,41 +64,21 @@ import           Diagrams.Core.Transform import           Diagrams.Direction import           Diagrams.Transform+import           Diagrams.Transform.Matrix import           Diagrams.TwoD.Types import           Diagrams.TwoD.Vector -import           Control.Lens            hiding (at, transform)+import           Control.Lens              hiding (at, transform) import           Data.Semigroup  import           Linear.Affine+import           Linear.Metric+import           Linear.V2 import           Linear.Vector  -- Rotation ------------------------------------------------ --- | Create a transformation which performs a rotation about the local---   origin by the given angle.  See also 'rotate'.-rotation :: Floating n => Angle n -> T2 n-rotation theta = fromLinear r (linv r)-  where-    r               = rot theta <-> rot (negated theta)-    rot th (V2 x y) = V2 (cosA th * x - sinA th * y)-                         (sinA th * x + cosA th * y)---- | Rotate about the local origin by the given angle. Positive angles---   correspond to counterclockwise rotation, negative to---   clockwise. The angle can be expressed using any of the 'Iso's on---   'Angle'.  For example, @rotate (1\/4 \@\@ 'turn')@, @rotate---   (tau\/4 \@\@ rad)@, and @rotate (90 \@\@ deg)@ all---   represent the same transformation, namely, a counterclockwise---   rotation by a right angle.  To rotate about some point other than---   the local origin, see 'rotateAbout'.------   Note that writing @rotate (1\/4)@, with no 'Angle' constructor,---   will yield an error since GHC cannot figure out which sort of---   angle you want to use.  In this common situation you can use---   'rotateBy', which interprets its argument as a number of turns.-rotate :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t-rotate = transform . rotation+-- For the definitions of 'rotation' and 'rotate', see Diagrams.Angle.  -- | A synonym for 'rotate', interpreting its argument in units of -- turns; it can be more convenient to write @rotateBy (1\/4)@ than@@ -110,7 +98,7 @@ -- @ rotated :: (InSpace V2 n a, Floating n, SameSpace a b, Transformable a, Transformable b)         => Angle n -> Iso a b a b-rotated = transformed . rotation+rotated a = transformed $ rotation a  -- | @rotationAbout p@ is a rotation about the point @p@ (instead of --   around the local origin).@@ -205,6 +193,29 @@   => n -> t -> t translateY = transform . translationY +-- Conformal affine maps -----------------------------------++-- | The angle-preserving linear map that aligns the x-axis unit vector+--   with the given vector.  See also 'scaleRotateTo'.+scalingRotationTo :: (Floating n) => V2 n -> T2 n+scalingRotationTo v = fromMatWithInv (conf v) (conf w) zero+  where+    w = reflectY (v ^/ quadrance v)+    conf (V2 a b) = (V2 (V2 a (-b)) (V2 b a))++-- | Rotate and uniformly scale around the local origin such that the+--   x-axis aligns with the given vector.  This satisfies the equation+--+-- @+-- scaleRotateTo v = rotateTo (dir v) . scale (norm v)+-- @+--+-- up to floating point rounding errors, but is more accurate and+-- performant since it avoids cancellable uses of trigonometric functions.+scaleRotateTo :: (InSpace V2 n t, Transformable t, Floating n)+              => V2 n -> t -> t+scaleRotateTo = transform . scalingRotationTo+ -- Reflection ----------------------------------------------  -- | Construct a transformation which flips a diagram from left to@@ -227,13 +238,25 @@ reflectY :: (InSpace v n t, R2 v, Transformable t) => t -> t reflectY = transform reflectionY +-- | Construct a transformation which flips the diagram about x=y, i.e.+--   sends the point (x,y) to (y,x).+reflectionXY :: (Additive v, R2 v, Num n) => Transformation v n+reflectionXY = fromSymmetric $ (_xy %~ view _yx) <-> (_xy %~ view _yx)++-- | Flips the diagram about x=y, i.e. send the point (x,y) to (y,x).+reflectXY :: (InSpace v n t, R2 v, Transformable t) => t -> t+reflectXY = transform reflectionXY+ -- | @reflectionAbout p d@ is a reflection in the line determined by --   the point @p@ and direction @d@. reflectionAbout :: OrderedField n => P2 n -> Direction V2 n -> T2 n reflectionAbout p d =-  conjugate (rotationTo d <> translation (origin .-. p))+  conjugate (rotationTo (reflectY d) <> translation (origin .-. p))             reflectionY +++ -- | @reflectAbout p d@ reflects a diagram in the line determined by --   the point @p@ and direction @d@. reflectAbout :: (InSpace V2 n t, OrderedField n, Transformable t)@@ -280,4 +303,3 @@ --   @(1,0)@ to @(1,d)@. shearY :: (InSpace V2 n t, Transformable t) => n -> t -> t shearY = transform . shearingY-
src/Diagrams/TwoD/Vector.hs view
@@ -79,8 +79,14 @@ cross2 :: Num n => V2 n -> V2 n -> n cross2 (V2 x1 y1) (V2 x2 y2) = x1 * y2 - y1 * x2 +-- | Signed angle between two vectors. Currently defined as+--+-- @+-- signedAngleBetween u v = (u ^. _theta) ^-^ (v ^. _theta)+-- @ signedAngleBetween :: RealFloat n => V2 n -> V2 n -> Angle n signedAngleBetween u v = (u ^. _theta) ^-^ (v ^. _theta) +-- | Same as 'signedAngleBetween' but for 'Directions's. signedAngleBetweenDirs :: RealFloat n => Direction V2 n -> Direction V2 n -> Angle n signedAngleBetweenDirs u v = (u ^. _theta) ^-^ (v ^. _theta)
src/Diagrams/Util.hs view
@@ -1,3 +1,5 @@+{-# LANGUAGE CPP #-}+ ----------------------------------------------------------------------------- -- | -- Module      :  Diagrams.Util@@ -39,9 +41,8 @@ import           Control.Monad.Catch import           Control.Monad.Trans import           Control.Monad.Trans.Maybe-import           Data.Default.Class+import           Data.Default import           Data.List-import           Data.List.Lens import           Data.Maybe import           Data.Monoid import           System.Directory@@ -237,9 +238,13 @@ maybeIO :: (MonadCatch m, MonadIO m) => IO a -> MaybeT m a maybeIO io = liftIO io `catchAll` const mzero +-- hoistMaybe is exported from transformers as of version 0.6+#if MIN_VERSION_transformers(0,6,0)+#else -- | Lift a maybe value to a MaybeT of any monad. hoistMaybe :: Monad m => Maybe a -> MaybeT m a hoistMaybe = MaybeT . return+#endif  -- | Fold a list of 'MaybeT's that short-circuits as soon as a Just value --   is found (instead going through the whole list).
+ src/Linear/Vector/Compat.hs view
@@ -0,0 +1,24 @@+{-# LANGUAGE CPP #-}++-- |+-- Module      :  Linear.Vector.Compat+-- Copyright   :  (c) 2024 diagrams-lib team (see LICENSE)+-- License     :  BSD-style (see LICENSE)+-- Maintainer  :  diagrams-discuss@googlegroups.com+--+-- Compatibility layer for working with versions of linear both before+-- (< 1.23) and after (>= 1.23) the interpolation direction of `lerp`+-- was reversed.+module Linear.Vector.Compat (lerp) where++import qualified Linear.Vector as V++-- | Linearly interpolate between two vectors, such that @lerp 0 x y =+--   x@ and @lerp 1 x y = 1@.+lerp :: (V.Additive f, Num a) => a -> f a -> f a -> f a+lerp =+#if MIN_VERSION_linear(1,23,0)+  V.lerp+#else+  V.lerp . (1-)+#endif
+ test/Diagrams/Test/Angle.hs view
@@ -0,0 +1,29 @@+-- |++module Diagrams.Test.Angle where+++import           Test.Tasty+import           Test.Tasty.QuickCheck+import           Diagrams.Prelude+import Instances++tests :: TestTree+tests = testGroup "Angle" [+         testProperty "2π radians per turn" $+           \θ -> θ^.rad =~ θ^.turn*2*(pi :: Double)+         , testProperty "360 degrees per turn" $+           \θ -> θ^.deg =~ θ^.turn*(360 :: Double)+         , testProperty "Angle vector addition is commutative" $+           \θ φ -> (θ :: Angle Double) ^+^ φ =~ φ ^+^ θ+         , testProperty "Angle subtraction is the inverse of addition" $+           \θ φ -> (θ :: Angle Double) ^+^ φ ^-^ φ =~ θ+         , testProperty "Angle vector negation squared is identity" $+           \θ -> negated (negated (θ :: Angle Double)) =~ θ+         , testProperty "A negated angle is the additive inverse of the original" $+           \θ -> (θ :: Angle Double) ^+^ (negated θ) =~ 0@@turn+         , testProperty "A negated angle is the additive inverse of the original" $+           \θ -> (θ :: Angle Double) ^+^ (negated θ) =~ 0@@turn+++      ]
+ test/Diagrams/Test/Direction.hs view
@@ -0,0 +1,34 @@+-- |++module Diagrams.Test.Direction where+++import           Diagrams.Direction+import           Diagrams.Prelude+import           Instances+import           Test.Tasty+import           Test.Tasty.QuickCheck++tests :: TestTree+tests = testGroup "Direction" [+         testProperty "Length does not effect from direction" $+           \(Positive f) (NonZero v) -> fromDirection(dir ((v  :: V2 Double) ^* (f+0.001))) =~ fromDirection(dir v)+         , testProperty "HasTheta subtraction yeilds same result as anglebetween" $+            (anglebetsub)+         , testProperty "anglebetweenDirs is commutative" $+           \a b -> angleBetweenDirs (a :: Direction V2 Double) b =~ angleBetweenDirs b a+         , testProperty "fromdirection does not effect angleBetweenDirs" $+           \a b -> angleBetween (fromDirection (a  :: Direction V2 Double)) (fromDirection b) =~ angleBetweenDirs a b++++      ]++if' :: Bool -> a -> a -> a+if' True  x _ = x+if' False _ y = y++anglebetsub :: Direction V2 Double -> Direction V2 Double -> Bool+anglebetsub a b = (if' (abs (a ^.  _theta^.rad  - b ^. _theta^.rad) < pi)+                       (abs ((a ^.  _theta  ^-^ b ^. _theta)^.rad))+                       (2*pi - abs (a ^.  _theta^.rad  - b ^. _theta^.rad) ) =~ angleBetweenDirs a b ^.rad)
+ test/Diagrams/Test/Trail.hs view
@@ -0,0 +1,113 @@+{-# LANGUAGE FlexibleContexts #-}+{-# LANGUAGE TypeFamilies     #-}++module Diagrams.Test.Trail where++import           Diagrams.Prelude+import           Instances+import           Test.Tasty+import           Test.Tasty.QuickCheck++import           Data.Fixed+import           Data.List++tests :: TestTree+tests = testGroup "Trail"+  [ let wrap :: Trail' Line V2 Double -> Located (Trail V2 Double)+        wrap = (`at` origin) . wrapLine+    in+    testProperty "unfixTrail . fixTrail == id for lines" $+    \l -> (unfixTrail . fixTrail $ wrap l) =~ (wrap l)++  , testProperty "glueLine . cutLoop == id" $+    \loop -> (glueLine . cutLoop $ loop) =~ (loop :: Trail' Loop V2 Double)++  , testProperty "trailOffset == sumV . trailOffsets" $+    \t -> trailOffset t =~ (sumV . trailOffsets $ (t :: Trail V2 Double))++  , testProperty "reverseTrail . reverseTrail == id" $+    \t -> (reverseTrail . reverseTrail $ t) =~ (t :: Trail V2 Double)++  , testProperty "reverseLocTrail . reverseLocTrail == id" $+    \t -> (reverseLocTrail . reverseLocTrail $ t) =~+          (t :: Located (Trail V2 Double))++  , testProperty "reverseLine . reverseLine == id" $+    \t -> (reverseLine . reverseLine $ t) =~+          (t :: Trail' Line V2 Double)++  , testProperty "reverseLocLine . reverseLocLine == id" $+    \t -> (reverseLocLine . reverseLocLine $ t) =~+          (t :: Located (Trail' Line V2 Double))++  , testProperty "reverseLoop . reverseLoop == id" $+    \t -> (reverseLoop . reverseLoop $ t) =~+          (t :: Trail' Loop V2 Double)++  , testProperty "reverseLocLoop . reverseLocLoop == id" $+    \t -> (reverseLocLoop . reverseLocLoop $ t) =~+          (t :: Located (Trail' Loop V2 Double))++  , testProperty "section on Trail' Line endpoints match paramaters" $+    \t (Param a) (Param b) ->+      let s = section (t :: Located (Trail' Line V2 Double)) a b+      in  t `atParam` a =~ s `atParam` 0 &&+          t `atParam` b =~ s `atParam` 1++  , testProperty "section on Trail' Line where a paramater is 0 or 1" $+    \t (Param a) ->+      let l = section (t :: Located (Trail' Line V2 Double)) 0 a+          r = section (t :: Located (Trail' Line V2 Double)) a 1+      in  t `atParam` 0 =~ l `atParam` 0 &&+          t `atParam` a =~ l `atParam` 1 &&+          t `atParam` a =~ r `atParam` 0 &&+          t `atParam` 1 =~ r `atParam` 1++  , testProperty "section on Trail' Line where a segment paramater is 0 or 1" $+    \t (Param a) i ->+      let st = unLoc t # \(Line st') -> st' :: SegTree V2 Double+          b | (numSegs st :: Word) > 0 = (fromIntegral (i `mod` (numSegs st + 1) :: Word)) / numSegs st+            | otherwise                = 0+          s = section (t :: Located (Trail' Line V2 Double)) a b+      in  t `atParam` a =~ s `atParam` 0 &&+          t `atParam` b =~ s `atParam` 1++  , testProperty "section on Trail' Line matches section on FixedSegment" $+    \t (Param a) (Param b) -> sectionTrailSectionFixedSegment t a b++  ]++data Param = Param Double deriving Show++instance Arbitrary Param where+  arbitrary = Param <$> choose (-0.5, 1.5)++sectionTrailSectionFixedSegment :: Located (Trail' Line V2 Double) -> Double -> Double -> Bool+sectionTrailSectionFixedSegment t k1 k2+  | null segs = t == t'+  | otherwise = aSecT =~ aSecFS && bSecT =~ bSecFS+  where+    a = min k1 k2+    b = max k1 k2+    t' = section t a b++    segs  = fixTrail $ mapLoc wrapLine t+    segs' = fixTrail $ mapLoc wrapLine t'++    aSecT = head segs'+    bSecT = last segs'++    (aSegIx, a') = splitParam a+    (bSegIx, b') = splitParam b++    aSecFS = section (segs !! floor aSegIx) a' x+      where x = if aSegIx == bSegIx then b' else 1+    bSecFS = section (segs !! floor bSegIx) x  b'+      where x = if aSegIx == bSegIx then a' else 0++    splitParam p | p <  0    = (0    , p           * n)+                 | p >= 1    = (n - 1, 1 + (p - 1) * n)+                 | otherwise = propFrac $  p       * n+      where+        propFrac x = let m = x `mod'` 1 in (x - m, m)+        n = genericLength segs
+ test/Diagrams/Test/Transform.hs view
@@ -0,0 +1,76 @@+{-# LANGUAGE ConstraintKinds       #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE TypeFamilies          #-}+++module Diagrams.Test.Transform where++import           Test.Tasty+import           Test.Tasty.QuickCheck+import           Diagrams.Prelude+import           Diagrams.Direction+import Instances++tests :: TestTree+tests = testGroup "Transform" [++        testProperty "rotating a vector by a number then its additive inverse will yield the original vector" $+          \θ a -> rotate ((θ * (-1)) @@ deg) (rotate ((θ :: Double) @@ deg) (a ::  V2 Double)) =~ a+        , testProperty "under rotated allows scaling along an angle" $+          \θ f a -> under (rotated ((θ :: Double) @@ deg)) (scaleX (f :: Double)) (a ::  V2 Double) =~ (rotate (negated (θ @@ deg)) . (scaleX f) . rotate (θ @@ deg)) a+        , testProperty "a rotation of 0 does nothing" $+          \a -> rotate (0 @@ deg) (a ::  V2 Double) =~ a+        , testProperty "adding 360 degrees to a turn does nothing" $+          \c a -> rotate (((c :: Double) + 360) @@ deg) (a ::  V2 Double) =~ rotate (c @@ deg) a+        , testProperty "over rotated allows scaling along x of a rotated shape" $+          \θ f a -> over (rotated ((θ :: Double) @@ deg)) (scaleX (f :: Double)) (a ::  V2 Double) =~ (rotate (θ @@ deg) . (scaleX f) . rotate (negated (θ @@ deg))) a+        , testProperty "scaleX" $+          \f a b -> (scaleX (f :: Double)) (V2 (a ::  Double) b) =~ V2 (a * f) b+        , testProperty "scaleY" $+          \f a b -> (scaleY (f :: Double)) (V2 (a ::  Double) b) =~ V2 a  (f * b)+        , testProperty "reflectX" $+          \a b -> reflectX (V2 (a ::  Double) b) =~ V2 (a * (-1))  b+        , testProperty "reflectY" $+          \a b -> reflectY (V2 (a ::  Double) b) =~ V2 a  ((-1) * b)+        , testProperty "reflectXY" $+          \a b -> reflectXY (V2 (a ::  Double) b) =~ V2 b a+        , testProperty "translate" $+          \a b c d -> translateX (a :: Double) (translateY b (P (V2 c d ))) =~ P (V2 (a + c) (b + d))+        , testProperty "shear" $+          \a b c d -> shearX (a :: Double) (shearY b (V2 c d)) =~ V2 ((c*b + d) * a + c) (c*b + d)+        , testProperty "(1,0) rotateTo some dir will return normalised dir" $+          \(NonZero a) b -> rotateTo  (dir (V2 (a :: Double) b)) (V2 1 0) =~ signorm (V2 a b)+        , testProperty "rotates" $+          \a c -> rotate ((a :: Double)@@ deg) (c :: V2 Double)   =~ rotate'' ((a :: Double)@@ deg) (c :: V2 Double) && rotate ((a :: Double)@@ deg) (c :: V2 Double)   =~ rotate' ((a :: Double)@@ deg) (c :: V2 Double)+        , testProperty "reflectAbout works for a vector" $+          \a b c d e f -> reflectAbout (P (V2 (a :: Double) b)) (dir (V2 c d)) (V2 e f) =~  over (rotated (atan2A' d c)) reflectY (V2 e f)+        , testProperty "reflectAbout works for a point" $+          \a b c d e f -> reflectAbout (P (V2 (a :: Double) b)) (dir (V2 c d)) (P (V2 e f)) =~ translate (V2 a b)  ((over (rotated (atan2A' d c)) reflectY) ((translate (V2 (-a) (-b)) )  (P (V2 e f))))+++        ]++--the original " '' " and a secondary " ' " rotate function for testing++rotation'' :: Floating n => Angle n -> T2 n+rotation'' theta = fromLinear r (linv r)+          where+            r               = rot theta <-> rot (negated theta)+            rot th (V2 x y) = V2 (cosA th * x - sinA th * y)+                                 (sinA th * x + cosA th * y)++rotate'' :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t+rotate'' = transform . rotation''++rotation' :: Floating n => Angle n -> T2 n+rotation' theta = fromLinear r (linv r)+            where+            r               = rot theta <-> rot (negated theta)+            rot th (V2 x y) = V2 (c * x - s * y)+                                 (s * x + c * y)+                                  where+                                    c = cosA th+                                    s = sinA th++rotate' :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t+rotate'  = transform . rotation'
+ test/Diagrams/Test/Transform/Matrix.hs view
@@ -0,0 +1,26 @@+{-# LANGUAGE ScopedTypeVariables #-}++-- |++module Diagrams.Test.Transform.Matrix where+++import           Test.Tasty+import           Test.Tasty.QuickCheck+import           Diagrams.Transform.Matrix+import           Diagrams.Prelude+import           Data.Distributive (distribute)++import Instances++tests :: TestTree+tests = testGroup "Transform.Matrix"+  [+    testProperty "mkMat column vectors (2D)" $+      \(Blind (t :: T2 Double)) -> distribute (mkMat t) =~ V2 (transform t unitX) (transform t unitY)+  , testProperty "mkMat / fromMat22" $+      \(m :: V2 (V2 Double)) -> mkMat (fromMat22 m zero) =~ m++  , testProperty "mkMat / fromMat33" $+      \(m :: V3 (V3 Double)) -> mkMat (fromMat33 m zero) =~ m+  ]
+ test/Diagrams/Test/TwoD.hs view
@@ -0,0 +1,65 @@+-- |++module Diagrams.Test.TwoD where++import           Diagrams.Prelude+import qualified Diagrams.Query as Query (sample)+import           Diagrams.Trail        (linePoints)+import           Instances+import           Test.Tasty+import           Test.Tasty.QuickCheck as QC++newtype SmallAngle = SmallAngle (Angle Double)+  deriving (Eq, Ord, Show)++-- Generate random angles within a reasonably small range (+/- 5+-- turns).+instance Arbitrary SmallAngle where+  arbitrary = SmallAngle . (@@turn) <$> choose (-5, 5)++tests :: TestTree+tests = testGroup "TwoD"+    [ testGroup "TwoD.Arc" [+           testProperty "arc start point is at radius 1 in the starting direction" $ \d (SmallAngle a) ->+               pathVertices (arc d a :: Path V2 Double) ^? _head . _head =~ Just (origin .+^ fromDirection d )+           , testProperty "arc end point is at radius 1 in the ending direction" $ \d (SmallAngle a) ->+               pathVertices (arc d a :: Path V2 Double) ^? _head . _last =~ Just (origin .+^ fromDirection (rotate a d))+         ]+    , testGroup "TwoD.Types" [+         testProperty "R2 vector addition is commutative" $+           \u v -> (u :: V2 Double) ^+^ v =~ v ^+^ u+         , testProperty "R2 subtraction is the inverse of addition" $+           \u v -> u ^+^ v ^-^ v =~ (u :: V2 Double)+         , testProperty "R2 vector negation squared is identity" $+           \u -> negated (negated (u :: V2 Double)) =~ u+         ]+      , testGroup "cubicSpline" [+         testProperty "Open cubic spline interpolates all points" $+         \pts -> length pts > 1 ==> and (zipWith (=~) pts (cubicSpline False pts :: [P2 Double]))+         , testProperty "Closed cubic spline interpolates all points" $+           \pts -> length pts > 1 ==> and (zipWith (=~) pts (cubicSpline True pts :: [P2 Double]))+    ]+      , testGroup "Trail" [+         testProperty "glueLine . cutLoop === id" $+         \l -> glueLine (cutLoop l :: Trail' Line V2 Double) =~ l+         , testProperty "cutLoop ends at starting point" $+           \l -> let ps = linePoints (cutLoop (l :: Trail' Loop V2 Double) `at` origin) in (ps ^? _head) =~ (ps ^? _last)+         , testProperty "cutTrail makes a Line" $+           \t -> isLine (cutTrail (t :: Trail V2 Double))+          , testProperty "fromSegments . lineSegments === id" $+            \l -> fromSegments (lineSegments l) =~ (l :: Trail' Line V2 Double)+          , testProperty "lineSegments . fromSegments === id" $+            \segs -> lineSegments (fromSegments segs) =~ (segs :: [Segment Closed V2 Double])+          ]+    , testGroup "Queries and Backgrounds"+        (let dia :: QDiagram NullBackend V2 Double [Int]+             dia = circle 5 # scaleX 2 # rotateBy (1/14) # value [1]+                   <>+                   circle 2 # scaleX 5 # rotateBy (-4/14) # value [2]+         in [+           testProperty "sample dia pt === sample (dia # bg color) pt" $+           \pt -> Query.sample dia pt QC.=== Query.sample (dia # bg orange) pt+         , testProperty "sample dia pt === sample (dia # bgFrame 0.1 color) pt" $+           \pt -> Query.sample dia pt QC.=== Query.sample (dia # bgFrame 0.1 green) pt+         ])+    ]
+ test/Diagrams/Test/TwoD/Offset.hs view
@@ -0,0 +1,48 @@+module Diagrams.Test.TwoD.Offset+    (+      tests+    ) where++import Test.Tasty (TestTree)+import Test.Tasty.HUnit++import Diagrams.Prelude+import Diagrams.TwoD.Offset++tests :: [TestTree]+tests =+    [ testCase "line"+          (offsetTrailVertices+              [p2 (0, 0), p2 (1, 0)]+              [p2 (0, -1), p2 (1, -1)])+    , testCase "square"+          (offsetTrailVertices+              [p2 (0, 0), p2 (1, 0), p2 (1, 1), p2 (0, 1), p2 (0, 0)]+              [p2 (0, -1), p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, 0)])+    , testCase "square loop"+          (offsetTrailLoopVertices+              [p2 (0, 0), p2 (1, 0), p2 (1, 1), p2 (0, 1), p2 (0, 0)]+              [p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, -1)])+    , testCase "redundant line"+          (offsetTrailVertices+              [p2 (0, 0), p2 (0.5, 0), p2 (1, 0)]+              [p2 (0, -1), p2 (1, -1)])+    , testCase "redundant square"+          (offsetTrailVertices+              [p2 (0, 0), p2 (1, 0), p2 (1, 0.5), p2 (1, 1), p2 (0, 1), p2 (0, 0)]+              [p2 (0, -1), p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, 0)])+    , testCase "redundant square loop"+          (offsetTrailLoopVertices+              [p2 (0, 0), p2 (1, 0), p2 (1, 0.5), p2 (1, 1), p2 (0, 1), p2 (0, 0)]+              [p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, -1)])+    ]++offsetTrailVertices :: [Point V2 Double] -> [Point V2 Double] -> Assertion+offsetTrailVertices orig off =+    (trailVertices . offsetTrail 1 . fromVertices $ orig) @?= off++offsetTrailLoopVertices :: [Point V2 Double] -> [Point V2 Double] -> Assertion+offsetTrailLoopVertices orig off =+    (trailVertices . offsetTrail 1 . loopTrailFromVertices $ orig) @?= off+  where+    loopTrailFromVertices = (`at` origin) . wrapTrail . glueLine . lineFromVertices
+ test/Diagrams/Test/TwoD/Segment.hs view
@@ -0,0 +1,54 @@+{-# LANGUAGE FlexibleContexts  #-}+{-# LANGUAGE FlexibleInstances #-}++{-# OPTIONS_GHC -fno-warn-orphans #-}++module Diagrams.Test.TwoD.Segment+    (+      tests+    ) where++import qualified Test.QuickCheck.Property as Q+import           Test.Tasty               (TestTree)+import           Test.Tasty.QuickCheck++import           Diagrams.Prelude+import           Diagrams.TwoD.Segment++newtype InBox = InBox { unInBox :: Double }++instance Arbitrary InBox where+  arbitrary = InBox <$> choose (-1, 1)++instance Arbitrary (Point V2 Double) where+  arbitrary = curry p2 <$> (unInBox <$> arbitrary)+                       <*> (unInBox <$> arbitrary)++instance Arbitrary (FixedSegment V2 Double) where+   arbitrary = oneof [FLinear <$> arbitrary <*> arbitrary, FCubic <$> arbitrary <*> arbitrary <*> arbitrary <*> arbitrary]++epsT, epsE :: Double+epsT = 1.0e-9 -- parameter space epsilon+epsE = 1.0e-8 -- Euclidean space epsilon++(.=~.) :: P2 Double -> P2 Double -> Bool+x .=~. y = norm (x .-. y) < epsE++tests :: [TestTree]+tests =+    [ testProperty "segmentSegment" $+        \a b -> validateIntersections a b (segmentSegment epsT a b)+    ]++validateIntersections :: FixedSegment V2 Double -> FixedSegment V2 Double -> [(Double, Double, P2 Double)] -> Q.Result+validateIntersections _ _ [] = Q.rejected -- TODO: check for false negatives (rasterize both and look for overlap?)+validateIntersections a b isects = go isects+  where+    go [] = Q.succeeded+    go ((ta,tb,p):is)+      | and [ 0 <= ta && ta <= 1+            , 0 <= tb && tb <= 1+            , a `atParam` ta .=~. p+            , b `atParam` tb .=~. p+            ] = go is+      | otherwise = Q.failed
− test/Diagrams/TwoD/OffsetTest.hs
@@ -1,48 +0,0 @@-module Diagrams.TwoD.OffsetTest-    (-      tests-    ) where--import Test.Tasty (TestTree)-import Test.Tasty.HUnit--import Diagrams.Prelude-import Diagrams.TwoD.Offset--tests :: [TestTree]-tests =-    [ testCase "line"-          (offsetTrailVertices-              [p2 (0, 0), p2 (1, 0)]-              [p2 (0, -1), p2 (1, -1)])-    , testCase "square"-          (offsetTrailVertices-              [p2 (0, 0), p2 (1, 0), p2 (1, 1), p2 (0, 1), p2 (0, 0)]-              [p2 (0, -1), p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, 0)])-    , testCase "square loop"-          (offsetTrailLoopVertices-              [p2 (0, 0), p2 (1, 0), p2 (1, 1), p2 (0, 1), p2 (0, 0)]-              [p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, -1)])-    , testCase "redundant line"-          (offsetTrailVertices-              [p2 (0, 0), p2 (0.5, 0), p2 (1, 0)]-              [p2 (0, -1), p2 (1, -1)])-    , testCase "redundant square"-          (offsetTrailVertices-              [p2 (0, 0), p2 (1, 0), p2 (1, 0.5), p2 (1, 1), p2 (0, 1), p2 (0, 0)]-              [p2 (0, -1), p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, 0)])-    , testCase "redundant square loop"-          (offsetTrailLoopVertices-              [p2 (0, 0), p2 (1, 0), p2 (1, 0.5), p2 (1, 1), p2 (0, 1), p2 (0, 0)]-              [p2 (2, -1), p2 (2, 2), p2 (-1, 2), p2 (-1, -1)])-    ]--offsetTrailVertices :: [Point V2 Double] -> [Point V2 Double] -> Assertion-offsetTrailVertices orig off =-    (trailVertices . offsetTrail 1 . fromVertices $ orig) @?= off--offsetTrailLoopVertices :: [Point V2 Double] -> [Point V2 Double] -> Assertion-offsetTrailLoopVertices orig off =-    (trailVertices . offsetTrail 1 . loopTrailFromVertices $ orig) @?= off-  where-    loopTrailFromVertices = (`at` origin) . wrapTrail . glueLine . lineFromVertices
+ test/Instances.hs view
@@ -0,0 +1,157 @@+{-# LANGUAGE FlexibleContexts     #-}+{-# LANGUAGE FlexibleInstances    #-}+{-# LANGUAGE GADTs                #-}+{-# LANGUAGE ScopedTypeVariables  #-}+{-# LANGUAGE UndecidableInstances #-}+{-# LANGUAGE ViewPatterns         #-}++{-# OPTIONS_GHC -fno-warn-orphans #-}++-- | instances for QuickCheck Arbitrary and approximate equality++module Instances where++import           Diagrams.Prelude+import           Numeric.Extras+import           Test.Tasty.QuickCheck (Arbitrary (..), Gen)+import qualified Test.Tasty.QuickCheck as QC++------------------------------------------------------------+    -- Approximate Comparison for Doubles, Points++epsilon :: Double+epsilon = 0.001++class Approx a where+  (=~) :: a -> a -> Bool++infix 4 =~++--instance (Fractional a, Ord a) => Approx a where+instance Approx Double where+  (=~) a b = abs (a - b) < epsilon++instance Approx Float where+    (=~) a b = abs (a - b) < 0.001++instance Approx n => Approx (V2 n) where+    z1 =~ z2 = (z1^._x) =~ (z2^._x) && (z1^._y) =~ (z2^._y)++instance Approx n => Approx (V3 n) where+    z1 =~ z2 = (z1^._x) =~ (z2^._x) && (z1^._y) =~ (z2^._y) && (z1^._z) =~ (z2^._z)++instance Approx (v n) => Approx (Point v n) where+    p =~ q = view _Point p =~ view _Point q++instance (Approx n, RealExtras n) => Approx (Angle n) where+    a =~ b = normA (a^.rad) =~ normA (b^.rad) where+      normA ang = let ang' = ang `fmod` pi in if ang' >= 0 then ang' else ang'+pi++instance Approx n => Approx (Offset Closed V2 n) where+    OffsetClosed v0 =~ OffsetClosed v1 = v0 =~ v1++instance Approx n => Approx (Segment Closed V2 n) where+    Linear o0 =~ Linear o1 = o0 =~ o1+    Cubic c0 d0 o0 =~ Cubic c1 d1 o1 = c0 =~ c1 && d0 =~ d1 && o0 =~ o1+    _ =~ _ = False+    -- The above is conservative:+    -- Cubic never equals Linear even if they describe the same points++instance Approx n => Approx (FixedSegment V2 n) where+    FLinear a0 b0 =~ FLinear a1 b1 = a0 =~ a1 && b0 =~ b1+    FCubic a0 b0 c0 d0 =~ FCubic a1 b1 c1 d1 = a0 =~ a1 && b0 =~ b1 && c0 =~ c1 && d0 =~ d1+    _ =~ _ = False++instance Approx n => Approx (Trail' Line V2 n) where+    l0 =~ l1 = and $ zipWith (=~) (lineSegments l0) (lineSegments l1)++instance Approx n => Approx (Trail' Loop V2 n) where+    l0 =~ l1 = fst (loopSegments l0) =~ fst (loopSegments l1)++instance (Approx n, Floating n, Ord n) => Approx (Trail V2 n) where+    t0 =~ t1 = and $ zipWith (=~) (trailSegments t0) (trailSegments t1)++instance (Approx a, Approx (Vn a), Num (N a), Additive (V a)) =>+         Approx (Located a) where+           a0 =~ a1 = (loc a0 .-. origin) =~ (loc a1 .-. origin) && unLoc a0 =~ unLoc a1++instance Approx a => Approx (Maybe a) where+    Nothing =~ Nothing = True+    Nothing =~ Just _ = False+    Just _ =~ Nothing = False+    Just l =~ Just r = l =~ r++-- These may be too general+instance Approx a => Approx [a] where+    a =~ b = and $ zipWith (=~) a b++instance (Approx a, Approx b) => Approx (a, b) where+    (a0, b0) =~ (a1,b1) = (a0 =~ a1) && (b0 =~ b1)++------------------------------------------------------------+-- Arbitrary instances for Points, Paths++instance Arbitrary n => Arbitrary (V2 n) where+    arbitrary = (^&) <$> arbitrary <*> arbitrary+    shrink (coords -> x :& y) = (^&) <$> shrink x <*> shrink y++instance Arbitrary n => Arbitrary (V3 n) where+    arbitrary = V3 <$> arbitrary <*> arbitrary <*> arbitrary+    shrink (coords -> x :& y :& z) = V3 <$> shrink x <*> shrink y <*> shrink z++instance Arbitrary (v n) => Arbitrary (Point v n) where+    arbitrary = P <$> arbitrary+    shrink (P v) = P <$> shrink v++instance (Arbitrary n, Floating n, Ord n) => Arbitrary (Transformation V2 n) where+    arbitrary = QC.sized arbT+      where+        arbT 0 = return mempty+        arbT n = QC.oneof+          [ rotation    <$> arbitrary+          , scaling     <$> arbitrary+          , translation <$> arbitrary+          , reflectionAbout <$> arbitrary <*> arbitrary+          , (<>) <$> arbT (n `div` 2) <*> arbT (n `div` 2)+          ]++instance Arbitrary n => Arbitrary (Angle n) where+    arbitrary = review rad <$> arbitrary++instance (Arbitrary n, Floating n) => Arbitrary (Direction V2 n) where+    arbitrary = rotate <$> arbitrary <*> pure xDir++-- -- | Not a valid Show instance because not valid Haskell input+-- instance (Show n, RealFloat n) => Show (Direction V2 n) where+--     show d = "Dir" <> ( show $ d ^. _theta . turn )++-- NOTE on shrinks: Adding definitions of 'shrink' below seems to work+--   in simple tests, but test case failures hang for a very long time+--   (presumably trying lots and lots of expensive shrinks).  Not sure+--   how to make shrinking more tractable.++instance (Arbitrary a, Arbitrary (Vn a)) => Arbitrary (Located a) where+    arbitrary = at <$> arbitrary <*> arbitrary+--    shrink (viewLoc -> (p,a)) = uncurry at <$> shrink (a,p)++instance Arbitrary n => Arbitrary (Offset Closed V2 n) where+    arbitrary = OffsetClosed <$> arbitrary+--    shrink (OffsetClosed x) = OffsetClosed <$> shrink x++instance Arbitrary n =>  Arbitrary (Segment Closed V2 n) where+    arbitrary = QC.oneof [Linear <$> arbitrary, Cubic <$> arbitrary <*> arbitrary <*> arbitrary]+    -- shrink (Linear x) = Linear <$> shrink x+    -- shrink (Cubic x y z) = Linear z+    --                      : [Cubic x' y' z' | (x',y',z') <- shrink (x,y,z)]++instance (Arbitrary n, Floating n, Ord n) => Arbitrary (Trail' Line V2 n) where+    arbitrary = lineFromSegments <$> arbitrary+--    shrink (lineSegments -> segs) = lineFromSegments <$> shrink segs++instance (Arbitrary n, Floating n, Ord n) => Arbitrary (Trail' Loop V2 n) where+    arbitrary = closeLine <$> arbitrary+--    shrink (cutLoop -> l) = closeLine <$> shrink l++instance (Arbitrary n, Floating n, Ord n) => Arbitrary (Trail V2 n) where+    arbitrary = QC.oneof [Trail <$> (arbitrary :: Gen (Trail' Loop V2 n)), Trail <$> (arbitrary :: Gen (Trail' Line V2 n))]+
+ test/Speed.hs view
@@ -0,0 +1,47 @@+{-# LANGUAGE ConstraintKinds       #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE TypeFamilies          #-}++module Main where++import Criterion+import Criterion.Main (defaultMain)++import Diagrams.Prelude+++main :: IO ()+main = defaultMain+    [ bgroup "rotates"+        [ bench "rotate"  $ whnf (rotate (90 @@ deg :: Angle Double)) (V2 3 3)+         ,bench "rotate1" $ whnf (rotate' (90 @@ deg :: Angle Double)) (V2 3 3)+         ,bench "rotate2" $ whnf (rotate'' (90 @@ deg :: Angle Double)) (V2 3 3)+        ]+    ]++--the original " '' " and a secondary " ' " rotate function for comparing speed testing+--note: function time changes dramatically when function is in this file rather than imported+++rotation' :: Floating n => Angle n -> T2 n+rotation' theta = fromLinear r (linv r)+                where+                r               = rot theta <-> rot (negated theta)+                rot th (V2 x y) = V2 (c * x - s * y)+                                     (s * x + c * y)+                                      where+                                        c = cosA th+                                        s = sinA th++rotate' :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t+rotate'  = transform . rotation'++rotation'' :: Floating n => Angle n -> T2 n+rotation'' theta = fromLinear r (linv r)+              where+                r               = rot theta <-> rot (negated theta)+                rot th (V2 x y) = V2 (cosA th * x - sinA th * y)+                                     (sinA th * x + cosA th * y)++rotate'' :: (InSpace V2 n t, Transformable t, Floating n) => Angle n -> t -> t+rotate'' = transform . rotation''
test/Test.hs view
@@ -1,10 +1,26 @@-import Test.Tasty (defaultMain, testGroup, TestTree)+import           Test.Tasty                (TestTree, defaultMain, testGroup) -import qualified Diagrams.TwoD.OffsetTest as TwoD.OffsetTest+import qualified Diagrams.Test.Angle            as Angle+import qualified Diagrams.Test.Direction        as Direction+import qualified Diagrams.Test.Transform        as Transform+import qualified Diagrams.Test.Transform.Matrix as TransformMatrix+import qualified Diagrams.Test.TwoD             as TwoD+import qualified Diagrams.Test.TwoD.Offset      as TwoD.Offset+import qualified Diagrams.Test.TwoD.Segment     as TwoD.Segment +import qualified Diagrams.Test.Trail            as Trail+ tests :: TestTree tests = testGroup "unit tests"-    [ testGroup "TwoD.Offset" TwoD.OffsetTest.tests ]+    [ testGroup "TwoD.Offset" TwoD.Offset.tests+    , testGroup "TwoD.Segment" TwoD.Segment.tests+    , TwoD.tests+    , Angle.tests+    , Direction.tests+    , Transform.tests+    , TransformMatrix.tests+    , Trail.tests+    ]  main :: IO () main = defaultMain tests