plots (empty) → 0.1.0.0

raw patch · 65 files changed

+8341/−0 lines, 65 filesdep +JuicyPixelsdep +adjunctionsdep +basesetup-changed

Dependencies added: JuicyPixels, adjunctions, base, base-orphans, colour, containers, data-default, diagrams-core, diagrams-lib, directory, distributive, filepath, fingertree, hashable, intervals, lens, linear, monoid-extras, mtl, optparse-applicative, process, profunctors, semigroupoids, semigroups, split, statistics, time, transformers, vector

Files

• LICENSE +31/−0
• README.md +42/−0
• Setup.hs +2/−0
• diagrams/src_Plots_Axis_ColourBar_gradientColourBarExample.svg +1/−0
• diagrams/src_Plots_Axis_ColourBar_pathColourBarExample.svg +1/−0
• diagrams/src_Plots_Style_blackAndWhitePic.svg +1/−0
• diagrams/src_Plots_Style_fadedColourPic.svg +1/−0
• diagrams/src_Plots_Style_greysBar.svg +1/−0
• diagrams/src_Plots_Style_infernoBar.svg +1/−0
• diagrams/src_Plots_Style_magmaBar.svg +1/−0
• diagrams/src_Plots_Style_plasmaBar.svg +1/−0
• diagrams/src_Plots_Style_viridisBar.svg +1/−0
• diagrams/src_Plots_Style_vividColourPic.svg +1/−0
• diagrams/src_Plots_Types_Bar_barExample'.svg +1/−0
• diagrams/src_Plots_Types_Bar_barExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_groupedBarsExample'.svg +1/−0
• diagrams/src_Plots_Types_Bar_groupedBarsExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_multiBarExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_namedBarExample'.svg +1/−0
• diagrams/src_Plots_Types_Bar_namedBarExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_runningBarsExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_stackedBarsExample.svg +1/−0
• diagrams/src_Plots_Types_Bar_stackedEqualBarsExample.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_heatMapExample'.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_heatMapExample.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample'.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_pathHeatRenderExample.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_pixelHeatRenderExample'.svg +1/−0
• diagrams/src_Plots_Types_HeatMap_pixelHeatRenderExample.svg +1/−0
• diagrams/src_Plots_Types_Histogram_cdfDia.svg +1/−0
• diagrams/src_Plots_Types_Histogram_countDensityDia.svg +1/−0
• diagrams/src_Plots_Types_Histogram_countDia.svg +1/−0
• diagrams/src_Plots_Types_Histogram_cumilativeDia.svg +1/−0
• diagrams/src_Plots_Types_Histogram_pdfDia.svg +1/−0
• diagrams/src_Plots_Types_Histogram_probabilityDia.svg +1/−0
• diagrams/src_Plots_Types_Pie_pieExample'.svg +1/−0
• diagrams/src_Plots_Types_Pie_piePlotExample.svg +1/−0
• diagrams/src_Plots_Types_Pie_wedgeExample.svg +1/−0
• diagrams/src_Plots_Types_Scatter_scatterExample'.svg +1/−0
• diagrams/src_Plots_Types_Scatter_scatterExample.svg +1/−0
• plots.cabal +81/−0
• src/Diagrams/Coordinates/Isomorphic.hs +139/−0
• src/Diagrams/Coordinates/Polar.hs +171/−0
• src/Plots.hs +119/−0
• src/Plots/Axis.hs +541/−0
• src/Plots/Axis/ColourBar.hs +347/−0
• src/Plots/Axis/Grid.hs +256/−0
• src/Plots/Axis/Labels.hs +236/−0
• src/Plots/Axis/Line.hs +103/−0
• src/Plots/Axis/Render.hs +671/−0
• src/Plots/Axis/Scale.hs +290/−0
• src/Plots/Axis/Ticks.hs +375/−0
• src/Plots/Axis/Title.hs +112/−0
• src/Plots/Legend.hs +155/−0
• src/Plots/Name.hs +50/−0
• src/Plots/Style.hs +1104/−0
• src/Plots/Types.hs +755/−0
• src/Plots/Types/Bar.hs +658/−0
• src/Plots/Types/HeatMap.hs +598/−0
• src/Plots/Types/Histogram.hs +417/−0
• src/Plots/Types/Line.hs +177/−0
• src/Plots/Types/Pie.hs +306/−0
• src/Plots/Types/Scatter.hs +502/−0
• src/Plots/Util.hs +65/−0

@@ -0,0 +1,31 @@+Copyright 2014: Christopher Chalmers <c.chalmers@me.com>+++All rights reserved.++Redistribution and use in source and binary forms, with or without+modification, are permitted provided that the following conditions are met:++    * Redistributions of source code must retain the above copyright+      notice, this list of conditions and the following disclaimer.++    * Redistributions in binary form must reproduce the above+      copyright notice, this list of conditions and the following+      disclaimer in the documentation and/or other materials provided+      with the distribution.++    * Neither the name of Ryan Yates nor the names of other+      contributors may be used to endorse or promote products derived+      from this software without specific prior written permission.++THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

@@ -0,0 +1,42 @@+# plots++[![Haddock](https://rawgit.com/cchalmers/plots/gh-pages/haddock.svg)](https://cchalmers.github.io/plots/)++`plots` is a plotting library based on [diagrams](http://projects.haskell.org/diagrams).++Some sample plots:++#### Scatter plot+![scatter-plot](https://rawgit.com/cchalmers/plots/master/diagrams/src_Plots_Types_Scatter_scatterExample'.svg)++#### Bar plot+![bar-plot](https://rawgit.com/cchalmers/plots/master/diagrams/src_Plots_Types_Bar_barExample'.svg)++#### Heat map+![heat-map](https://rawgit.com/cchalmers/plots/master/diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample'.svg)++There are many more plots to be added. There are also plans to support+3D plots. Issues and pull requests welcome.++## Examples++There are several example plots in the `examples/` directory. To build+the examples, first ensure that you have `stack` installed, and that you+have a `stack.yaml` file in this directory that contains the lines:++```yaml packages:+- '.'+- 'test'+```++(If you run the command `stack init`, stack will automatically generate+the `stack.yaml` file with the appropriate packages.)++You can then build the examples using ```sh stack build stack exec+RunExamples ``` The `RunExamples` script will generate `png` files in+the `examples_output` directory.++**Note:** The `RunExamples` script re-builds an example if the output+file (`examples_output/X.png`) does not exist, or if the source file+(`examples/X.hs`) has been modified since the last time the script was+run.

@@ -0,0 +1,2 @@+import Distribution.Simple+main = defaultMain

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@@ -0,0 +1,81 @@+name:                plots+version:             0.1.0.0+synopsis:            Diagrams based plotting library.+homepage:            http://github.com/cchalmers/plots+license:             BSD3+license-file:        LICENSE+author:              Christopher Chalmers+maintainer:          c.chalmers@me.com+bug-reports:         http://github.com/cchalmers/plots+stability:           Experimental+category:            Graphics+build-type:          Simple+cabal-version:       >=1.10+extra-source-files:  README.md diagrams/*.svg+extra-doc-files:     diagrams/*.svg+description:         Diagrams based plotting library.++source-repository head+ type:     git+ location: http://github.com/cchalmers/plots++library+  exposed-modules:+    Plots+    Plots.Axis+    Plots.Axis.ColourBar+    Plots.Axis.Grid+    Plots.Axis.Labels+    Plots.Axis.Line+    Plots.Axis.Render+    Plots.Axis.Ticks+    Plots.Axis.Title+    Plots.Axis.Scale+    Plots.Legend+    Plots.Name+    Plots.Style+    Plots.Types+    Plots.Types.Bar+    Plots.Types.Histogram+    Plots.Types.HeatMap+    Plots.Types.Line+    Plots.Types.Pie+    Plots.Types.Scatter+    Plots.Util+    Diagrams.Coordinates.Isomorphic+    Diagrams.Coordinates.Polar+  hs-source-dirs:      src+  build-depends:+    base          >= 4.3 && < 5.0,+    adjunctions,+    colour,+    containers    >= 0.3 && < 0.6,+    data-default  >= 0.5 && < 0.8,+    diagrams-core >= 1.3 && < 1.4,+    diagrams-lib  >= 1.3 && < 1.4,+    directory,+    distributive,+    transformers,+    filepath,+    fingertree,+    hashable      >= 1.1 && < 1.3,+    lens          >= 4.6 && < 5.0,+    linear        >= 1.2 && < 2.0,+    monoid-extras >= 0.3 && < 0.6,+    mtl           >= 1.0 && < 3.2,+    optparse-applicative,+    statistics,+    process,+    semigroupoids,+    semigroups,+    split         >= 0.1.2 && < 0.5,+    time,+    vector,+    profunctors,+    JuicyPixels,+    intervals,+    base-orphans++  ghc-options:         -Wall++  default-language:  Haskell2010

@@ -0,0 +1,139 @@+{-# LANGUAGE ConstrainedClassMethods #-}+{-# LANGUAGE ConstraintKinds         #-}+{-# LANGUAGE DefaultSignatures       #-}+{-# LANGUAGE FlexibleContexts        #-}+{-# LANGUAGE FlexibleInstances       #-}+{-# LANGUAGE FunctionalDependencies  #-}+{-# LANGUAGE MultiParamTypeClasses   #-}+{-# LANGUAGE TypeFamilies            #-}+{-# LANGUAGE ViewPatterns            #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Diagrams.Coordinates.Isomorphic+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines a class for coordinates that are (loosely)+-- isomorphic to the standard spaces ('V2' and 'V3'). This allows plots+-- to accept more data types for plot data.+--+----------------------------------------------------------------------------+module Diagrams.Coordinates.Isomorphic+  ( -- * Type constraints+    HasIndexedBasis, Euclidean++    -- * Vector like+  , VectorLike (..)+  , V2Like, V3Like++    -- * Point like+  , PointLike (..)+  , P2Like, P3Like+  )+  where++import           Control.Lens+import           Data.Complex+import           Data.Typeable++import           Diagrams.Prelude++type HasIndexedBasis v = (HasBasis v, TraversableWithIndex (E v) v)++-- | Umbrella class giving everything needed for working in the space. This is+--   basically 'V2' or 'V3' from "linear".+type Euclidean v = (HasLinearMap v, HasIndexedBasis v, Metric v)++-- vector like ---------------------------------------------------------++-- | Provides an 'Iso'' between @a@ and @v n@. This is normally used to+--   convert between the data type you're already using, @a@, and diagram's+--   native form, @v n@.+class (Euclidean v, Typeable v) => VectorLike v n a | a -> v n where+  -- | Isomorphism from @Point v n@ to something 'PointLike' @a@.+  --+  -- >>> V2 3 5 ^. vectorLike :: (Int, Int)+  -- (3,5)+  vectorLike :: Iso' (v n) a++  -- | Isomorphism from something 'PointLike' @a@ to @Point v n@.+  --+  -- >>> ((3, 5) :: (Int, Int)) ^. unvectorLike+  -- V2 3 5+  unvectorLike :: Iso' a (v n)+  unvectorLike = from vectorLike+  {-# INLINE unvectorLike #-}++instance VectorLike V2 n (V2 n) where+  vectorLike = id+  {-# INLINE vectorLike #-}++type V2Like = VectorLike V2++instance n ~ m => VectorLike V2 n (n, m) where+  vectorLike = iso unr2 r2+  {-# INLINE vectorLike #-}++instance VectorLike V2 n (Complex n) where+  vectorLike = iso (\(V2 x y) -> x :+ y)+                   (\(i :+ j) -> V2 i j)+  {-# INLINE vectorLike #-}++type V3Like = VectorLike V3++instance VectorLike V3 n (V3 n) where+  vectorLike = id+  {-# INLINE vectorLike #-}++instance (n ~ m, m ~ o) => VectorLike V3 n (n, m, o) where+  vectorLike = iso unr3 r3+  {-# INLINE vectorLike #-}++-- point like ----------------------------------------------------------++-- | Provides an 'Iso'' between @a@ and @'Point' v n@. This is normally used to+--   convert between the data type you're already using, @a@, and diagram's+--   native form, @'Point' v n@.+class (Euclidean v, Typeable v) => PointLike v n a | a -> v n where+  -- | Isomorphism from @'Point' v n@ to something 'PointLike' @a@.+  --+  -- >>> mkP2 3 5 ^. pointLike :: (Int, Int)+  -- (3,5)+  pointLike :: Iso' (Point v n) a++  -- | Isomorphism from something 'PointLike' @a@ to @Point v n@.+  --+  -- >>> ((3, 5) :: (Int, Int)) ^. unpointLike+  -- P (V2 3 5)+  unpointLike :: Iso' a (Point v n)+  unpointLike = from pointLike+  {-# INLINE unpointLike #-}++-- | Things that are isomorphic to points in R2.+type P2Like = PointLike V2++instance (Euclidean v, Typeable v) => PointLike v n (Point v n) where+  pointLike = id++instance PointLike V2 n (V2 n) where+  pointLike = _Point+  {-# INLINE pointLike #-}++instance n ~ m => PointLike V2 n (n, m) where+  pointLike = iso unp2 p2+  {-# INLINE pointLike #-}++instance PointLike V2 n (Complex n) where+  pointLike = iso (\(unp2 -> (x,y)) -> x :+ y)+                  (\(i :+ j)        -> p2 (i,j))+  {-# INLINE pointLike #-}++type P3Like = PointLike V3++instance (n ~ m, m ~ o) => PointLike V3 n (n, m, o) where+  pointLike = iso unp3 p3+  {-# INLINE pointLike #-}+

@@ -0,0 +1,171 @@+{-# LANGUAGE DeriveDataTypeable         #-}+{-# LANGUAGE DeriveGeneric              #-}+{-# LANGUAGE DeriveTraversable          #-}+{-# LANGUAGE FlexibleContexts           #-}+{-# LANGUAGE FlexibleInstances          #-}+{-# LANGUAGE GeneralizedNewtypeDeriving #-}+{-# LANGUAGE MultiParamTypeClasses      #-}+{-# LANGUAGE TemplateHaskell            #-}+{-# LANGUAGE TypeFamilies               #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Diagrams.Coordinates.Spherical+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines a polar coordinate data type. This type can be+-- used as an axis space for polar plots.+--+----------------------------------------------------------------------------+module Diagrams.Coordinates.Polar+  ( -- * Polar type+    Polar (..)+  , mkPolar, polar, unpolar, polarIso, polarV2++    -- * Polar functions+  , interpPolar++    -- * Classes+  , Radial (..), Circle (..)+  , HasX (..), HasY (..), HasR (..)++    -- * Basis elements+  , er, eθ, etheta,++  ) where++import           Control.Applicative+import qualified Data.Foldable as F++import           Control.Lens+import           Control.Monad.Fix+import           Control.Monad.Zip+import           Data.Distributive+import           Data.Functor.Rep+import           Data.Typeable+import           GHC.Generics        (Generic1)++import           Diagrams.Angle+import           Diagrams.TwoD.Types++import           Linear.Affine+import           Linear.Metric+import           Linear.V3+import           Linear.Vector++import           Diagrams.Coordinates.Isomorphic+import Prelude+++newtype Polar a = Polar (V2 a)+  deriving (Monad, Functor, Typeable, MonadFix, Applicative, Traversable,+            Generic1, MonadZip, F.Foldable)++makeWrapped ''Polar++-- can't make reasonable Additive instance++instance Distributive Polar where+  distribute f = Polar $ V2 (fmap (\(Polar (V2 x _)) -> x) f)+                            (fmap (\(Polar (V2 _ y)) -> y) f)++instance Representable Polar where+  type Rep Polar = E Polar+  tabulate f     = Polar $ V2 (f er) (f eθ)+  index xs (E l) = view l xs++instance Circle Polar where+  _azimuth = polarWrapper . _y . from rad+  _polar   = id++instance HasR Polar where+  _r = polarWrapper . _x++-- | Construct a 'Polar' from a magnitude and an 'Angle'.+mkPolar :: n -> Angle n -> Polar n+mkPolar r θ = Polar $ V2 r (θ^.rad)++-- | Construct a 'Polar' from a magnitude and 'Angle' tuple.+polar :: (n, Angle n) -> Polar n+polar = uncurry mkPolar++-- | Turn a 'Polar' back into a magnitude and 'Angle' tuple.+unpolar :: Polar n -> (n, Angle n)+unpolar (Polar (V2 r θ)) = (r, θ @@ rad)++-- | 'Iso'' between 'Polar' and its tuple form.+polarIso :: Iso' (Polar n) (n, Angle n)+polarIso = iso unpolar polar++-- | Numerical 'Iso'' between 'Polar' and 'R2'.+polarV2 :: RealFloat n => Iso' (Polar n) (V2 n)+polarV2 = iso (\(Polar (V2 r θ)) -> V2 (r * cos θ) (r * sin θ))+              (\v@(V2 x y)       -> Polar $ V2 (norm v) (atan2 y x))++-- internal iso for instances+polarWrapper :: Iso' (Polar a) (V2 a)+polarWrapper = iso (\(Polar v) -> v) Polar++-- | Polar interpolation between two polar coordinates.+interpPolar :: Num n => n -> Polar n -> Polar n -> Polar n+interpPolar t (Polar a) (Polar b) = Polar (lerp t a b)+++-- | Space which has a radial length basis. For Polar and Cylindrical this is+--   the radius of the circle in the xy-plane. For Spherical this is the+--   distance from the origin.+class Radial t where+  _radial :: Lens' (t a) a++instance Radial Polar where+  _radial = polarWrapper . _x++-- | Space which has a radial and angular basis.+class Radial t => Circle t where+  _azimuth :: Lens' (t a) (Angle a)+  _polar   :: Lens' (t a) (Polar a)++er :: Radial v => E v+er = E _radial++eθ, etheta :: Circle v => E v+eθ     = E (_polar . polarWrapper . _y)+etheta = eθ++-- | Coordinate with at least one dimension where the x coordinate can be+--   retreived numerically. Note this differs slightly from 'R1' which requires+--   a lens for all values. This allows instances for different coordinates+--   such as 'Polar', where the x coordinate can only be retreived numerically.+class HasX t where+  x_ :: RealFloat n => Lens' (t n) n++instance HasX v => HasX (Point v) where+  x_ = _Point . x_++instance HasX V2    where x_ = _x+instance HasX V3    where x_ = _x+instance HasX Polar where x_ = polarV2 . _x++-- | Coordinate with at least two dimensions where the x and y coordinates can be+--   retreived numerically.+class HasX t => HasY t where+  y_ :: RealFloat n => Lens' (t n) n+  y_ = xy_ . _y++  xy_ :: RealFloat n => Lens' (t n) (V2 n)++instance HasY v => HasY (Point v) where+  xy_ = lensP . xy_++instance HasY V2    where xy_ = id+instance HasY V3    where xy_ = _xy+instance HasY Polar where xy_ = polarV2++-- | Does not satify lens laws.+instance RealFloat n => PointLike V2 n (Polar n) where+  pointLike = _Point . from polarV2+  {-# INLINE pointLike #-}+

@@ -0,0 +1,119 @@+{-# OPTIONS_GHC -fno-warn-duplicate-exports #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines types for axis labels and tick labels.+--+----------------------------------------------------------------------------+module Plots+  (++    -- | Axis definition (r2Axis and polarAxis), aspect ratio and scaling.+    module Plots.Axis++    -- | 'AxisStyle's are used to provide default colours and shapes+    -- for the plots of an axis.+  , module Plots.Style++    --------------------------------------------------------------------+    -- * Plot Types+    --------------------------------------------------------------------++    -- ** Scatter plot+    -- | Scatter plots display data as a collection of points. A scatter+    --   plot can also be configured to have a different style /+    --   transform depending on the data.++    -- | Scatter and bubble. Scatter and bubble plot api.+  , module Plots.Types.Scatter++    -- | Bar plots, individual or grouped.+  , module Plots.Types.Bar++    -- ** Line plot++    -- | Line, trail and path. Line plot, steps plot api & api for trail+    --   and path.+  , module Plots.Types.Line++    -- ** Heat map plot++    -- | 2D mapping from 'Double's to colours.+  , module Plots.Types.HeatMap++    -- ** Histogram plot++    -- | Histogram. API for histogram.+  , module Plots.Types.Histogram++    -- | Wedge and annular wedge. API for wedge, annular wegde and pie.+  , module Plots.Types.Pie++    --------------------------------------------------------------------+    -- * Low level+    --------------------------------------------------------------------++    -- | Definitions of bounds, axis scale, orientation, legend, generic+    --   plot ,plot spec and so on.+  , module Plots.Types++    -- | Grid lines and styles.+  , module Plots.Legend++    -- | Grid lines and styles.+  , module Plots.Axis.Grid++    -- | Axis labels and tick labels .+  , module Plots.Axis.Labels++    -- | Rendering system for polar and r2 axis.+  , module Plots.Axis.Render++    -- | The scaling/size options for an axis.+  , module Plots.Axis.Scale++    -- | Ticks properties and placement.+  , module Plots.Axis.Ticks++    -- | The plot title.+  , module Plots.Axis.Title++    -- | Colour bars.+  , module Plots.Axis.ColourBar++    -- | Polar coordinates+  , module Diagrams.Coordinates.Polar++  , (&=), (&~~)++  ) where++import Diagrams.Coordinates.Polar++import           Plots.Axis+import           Plots.Axis.ColourBar+import           Plots.Axis.Grid+import           Plots.Axis.Labels+import           Plots.Axis.Render+import           Plots.Axis.Scale+import           Plots.Axis.Title+import           Plots.Axis.Ticks++import           Plots.Legend+import           Plots.Style+import           Plots.Types+import           Plots.Util++import           Plots.Types.Bar+import           Plots.Types.HeatMap+import           Plots.Types.Histogram+import           Plots.Types.Line+import           Plots.Types.Pie+import           Plots.Types.Scatter+

@@ -0,0 +1,541 @@+{-# LANGUAGE DeriveDataTypeable    #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE FlexibleInstances     #-}+{-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE RankNTypes            #-}+{-# LANGUAGE TypeFamilies          #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- The 'Axis' is the main data type for "plots". It holds all the+-- nessesary infomation to be rendered into a 'Diagram'.+--+----------------------------------------------------------------------------+module Plots.Axis+  ( -- * Axis type+    Axis+  , axes+  , axisPlots+  , currentPlots+  , finalPlots+  , plotModifier+  , axisSize+  , colourBarRange++    -- * Predefined axes+  , r2Axis+  , polarAxis++    -- ** Base space+  , BaseSpace++    -- * Axis plots+  , addPlot+  , addPlotable+  , addPlotable'++    -- * Single axis+  , SingleAxis++    -- * Specific axes+    -- ** x-axis+  , xAxis+  , xLabel+  , xMin+  , xMax++    -- ** y-axis+  , yAxis+  , yLabel+  , yMin+  , yMax++    -- ** r-axis+  , rAxis+  , rLabel+  , rMax++    -- ** theta-axis+  , thetaAxis+  , thetaLabel++    -- ** z-axis+  , zAxis+  , zLabel+  , zMin+  , zMax+  ) where++import           Control.Monad.State+import           Data.Complex+import           Data.Default+import           Data.Typeable++import           Diagrams.Coordinates.Polar+import           Diagrams.Prelude+import           Diagrams.TwoD.Text++import           Plots.Axis.ColourBar+import           Plots.Axis.Grid+import           Plots.Axis.Labels+import           Plots.Axis.Line+import           Plots.Axis.Scale+import           Plots.Axis.Title+import           Plots.Axis.Ticks+import           Plots.Legend+import           Plots.Style+import           Plots.Types++import           Linear++------------------------------------------------------------------------+-- Axis data type+------------------------------------------------------------------------++-- Single axis ---------------------------------------------------------++-- | Render infomation for a single axis line.+data SingleAxis b v n = SingleAxis+-- note the the v is only present for Style v n+  { saLabel     :: AxisLabel b v n+  , saLine      :: AxisLine v n+  , saTickLabel :: TickLabels b v n+  , saScaling   :: AxisScaling n+  , saGridLines :: GridLines v n+  , saTicks     :: Ticks v n+  , saVisible   :: Bool+  }++type instance V (SingleAxis b v n) = v+type instance N (SingleAxis b v n) = n++instance (TypeableFloat n, Renderable (Text n) b)+    => Default (SingleAxis b V2 n) where+  def = SingleAxis+    { saLabel      = def+    , saLine       = def+    , saTickLabel  = def+    , saGridLines  = def+    , saTicks      = def+    , saScaling    = def+    , saVisible    = True+    }++instance Functor f => HasTicks f (SingleAxis b v n) where+  bothTicks = lens saTicks (\sa ticks -> sa {saTicks = ticks})++instance Functor f => HasMajorTicks f (SingleAxis b v n) where+  majorTicks = bothTicks . majorTicks++instance Functor f => HasMinorTicks f (SingleAxis b v n) where+  minorTicks = bothTicks . minorTicks++instance Functor f => HasAxisLabel f (SingleAxis b v n) b where+  axisLabel = lens saLabel (\sa l -> sa {saLabel = l})++instance Functor f => HasTickLabels f (SingleAxis b v n) b where+  tickLabel = lens saTickLabel (\sa tl -> sa {saTickLabel = tl})++instance Functor f => HasAxisLine f (SingleAxis b v n) where+  axisLine = lens saLine (\sa l -> sa {saLine = l})++instance Functor f => HasGridLines f (SingleAxis b v n) where+  gridLines = lens saGridLines (\sa l -> sa {saGridLines = l})++instance Functor f => HasMajorGridLines f (SingleAxis b v n) where+  majorGridLines = gridLines . majorGridLines++instance Functor f => HasMinorGridLines f (SingleAxis b v n) where+  minorGridLines = gridLines . minorGridLines++instance Functor f => HasAxisScaling f (SingleAxis b v n) where+  axisScaling = lens saScaling (\sa s -> sa {saScaling = s})++instance HasVisibility (SingleAxis b v n) where+  visible = lens saVisible (\sa b -> sa {saVisible = b})++-- singleAxisScale :: Lens' (SingleAxis b v n) AxisScale+-- singleAxisScale = lens saScale (\sa s -> sa {saScale = s})++-- singleAxisBound :: Lens' (SingleAxis b v n) (Bound n)+-- singleAxisBound = lens saBounds (\sa b -> sa {saBounds = b})++------------------------------------------------------------------------+-- Axis type+------------------------------------------------------------------------++-- Base space ----------------------------------------------------------++-- | This family is used so that we can say (Axis Polar) but use V2 for the+--   underlying diagram.+type family BaseSpace (c :: * -> *) :: * -> *++type instance BaseSpace V2      = V2+type instance BaseSpace Complex = V2+type instance BaseSpace Polar   = V2+type instance BaseSpace V3      = V3++-- Axis data type ------------------------------------------------------++-- | Axis is the data type that holds all the nessessary information to render+--   a plot. Common 'LensLike's used for the axis (see haddock's+--   instances for a more comprehensive list):+--+--   * 'axisStyle'    - customise the 'AxisStyle'+--   * 'legend'       - customise the 'Legend'+--   * 'colourBar'    - customise the 'ColourBar'+--   * 'currentPlots' - current plots in the 'Axis'+--   * 'finalPlots'   - changes to the plots just before rendering+--   * 'axes'         - changes to each 'SingleAxis'+--+--          * 'xAxis' - the x-axis+--          * 'yAxis' - the y-axis+--          * 'zAxis' - the z-axis+--+--   The following 'LensLike's can be used on the on all the axes by+--   applying it the to 'Axis' or can be used on a 'SingleAxis' by using+--   it in combination with a specific axis (like 'xAxis').+--+--   * 'axisLabel'   - customise the 'MinorTicks'+--   * 'tickLabel'   - customise the 'TickLabels'+--   * 'minorTicks'  - customise the 'MinorTicks'+--   * 'majorTicks'  - customise the 'MajorTicks'+--   * 'gridLines'   - customise the 'GridLines'+--   * 'axisLine'    - customise the 'AxisLine'+--   * 'axisScaling' - customise the 'AxisScaling'+--+--   Plots are usually added to the axis using specific functions for+--   that plots ('Plots.Types.Line.linePlot, 'Plots.Types.Bar.barPlot').+--   These functions use 'addPlotable' to add the plot to the axis.+data Axis b c n = Axis+  { _axisStyle   :: AxisStyle b (BaseSpace c) n+  , _colourBar   :: ColourBar b n+  , _colourBarR  :: (n,n)+  , _legend      :: Legend b n+  , _axisTitle   :: Title b (BaseSpace c) n+  -- , _axisTitle      :: AxisTitle++  , _axisPlots   :: [DynamicPlot b (BaseSpace c) n]+  , _plotModifier :: Endo (StyledPlot b (BaseSpace c) n)++  -- the v in each axis is only used for the style+  , _axes        :: c (SingleAxis b (BaseSpace c) n)+  } deriving Typeable++-- | Lens onto the separate axes of an axis. Allows changing the+--   coordinate system as long as the 'BaseSpace' is the same.+--+-- @+-- 'axes' :: 'Lens'' ('Axis' b c n) (c ('SingleAxis' b v n))+-- @+axes :: (v ~ BaseSpace c, v ~ BaseSpace c')+     => Lens (Axis b c  n)+             (Axis b c' n)+             (c  (SingleAxis b v n))+             (c' (SingleAxis b v n))+axes = lens _axes (\(Axis a1 a2 a3 a4 a5 a6 a7 _) a8 -> Axis a1 a2 a3 a4 a5 a6 a7 a8)++-- | The list of plots currently in the axis.+axisPlots :: BaseSpace c ~ v => Lens' (Axis b c n) [DynamicPlot b v n]+axisPlots = lens _axisPlots (\a ps -> a {_axisPlots = ps})++-- | Traversal over the current plots in the axis.+--+--   For example, to make all 'ScatterPlot's currently in the axis use a+--   'connectingLine', you can write+--+-- @+-- 'finalPlots' . 'connectingLine' .= 'True'+-- @+currentPlots :: BaseSpace c ~ v => Traversal' (Axis b c n) (DynamicPlot b v n)+currentPlots = axisPlots . traversed++-- | Setter over the final plot before the axis is rendered.+--+--   For example, to make all 'ScatterPlot's in the axis use a+--   'connectingLine' (both currently in the axis and ones added later),+--   you can add+--+-- @+-- 'finalPlots' . 'connectingLine' .= 'True'+-- @+--+finalPlots :: BaseSpace c ~ v => Setter' (Axis b c n) (StyledPlot b v n)+finalPlots = sets $ \f a -> a {_plotModifier = _plotModifier a <> Endo f}++-- | Lens onto the modifier set by 'finalPlots'. This gets applied to+--   all plots in the axis, just before they are rendered.+plotModifier :: BaseSpace c ~ v => Lens' (Axis b c n) (Endo (StyledPlot b v n))+plotModifier = lens _plotModifier (\a f -> a {_plotModifier = f})++-- Axis instances ------------------------------------------------------++type instance V (Axis b v n) = BaseSpace v+type instance N (Axis b v n) = n++instance (Applicative f, Traversable c) => HasTicks f (Axis b c n) where+  bothTicks = axes . traverse . bothTicks++instance (Applicative f, Traversable c) => HasMajorTicks f (Axis b c n) where+  majorTicks = axes . traverse . majorTicks++instance (Applicative f, Traversable c) => HasMinorTicks f (Axis b c n) where+  minorTicks = axes . traverse . minorTicks++instance (Applicative f, Traversable c) => HasGridLines f (Axis b c n) where+  gridLines = axes . traverse . gridLines++instance (Applicative f, Traversable c) => HasMajorGridLines f (Axis b c n) where+  majorGridLines = axes . traverse . majorGridLines++instance (Applicative f, Traversable c) => HasMinorGridLines f (Axis b c n) where+  minorGridLines = axes . traverse . minorGridLines++instance (Applicative f, Traversable c) => HasAxisLabel f (Axis b c n) b where+  axisLabel = axes . traverse . axisLabel++instance (Applicative f, Traversable c) => HasTickLabels f (Axis b c n) b where+  tickLabel = axes . traverse . tickLabel++instance (Applicative f, Traversable c) => HasAxisScaling f (Axis b c n) where+  axisScaling = axes . traverse . axisScaling++instance Settable f => HasPlotOptions f (Axis b c n) b where+  plotOptions = finalPlots . plotOptions++instance Settable f => HasPlotStyle f (Axis b c n) b where+  plotStyle = finalPlots . plotStyle++instance HasLegend (Axis b c n) b where+  legend = lens _legend (\a l -> a {_legend = l})++instance HasTitle (Axis b c n) b where+  title = lens _axisTitle (\a t -> a {_axisTitle = t})++-- | The size used for the rendered axis.+axisSize :: (HasLinearMap c, Num n, Ord n) => Lens' (Axis b c n) (SizeSpec c n)+axisSize = axes . column renderSize . iso mkSizeSpec getSpec -- column axisScaling . asSizeSpec -- iso mkSizeSpec getSpec++-- | The range used for the colour bar limits. This is automaticlaly set+--   when using 'heatMap' or 'heatMap''+colourBarRange :: Lens' (Axis b v n) (n,n)+colourBarRange = lens _colourBarR (\a r -> a {_colourBarR = r})++instance HasAxisStyle (Axis b v n) b where+  axisStyle = lens _axisStyle (\a sty -> a {_axisStyle = sty})++instance HasColourBar (Axis b v n) b where+  colourBar = lens _colourBar (\a cb -> a {_colourBar = cb})++-- Axis functions ------------------------------------------------------++-- $plotable+-- The 'Plotable' class defines ways of converting the data type to a+-- diagram for some axis. There are several variants for adding an axis+-- with constraints @('InSpace' v n a, 'Plotable' a b)@:+--+-- @+-- 'addPlotable'  ::           a -> 'PlotState' a b -> 'AxisState' b v n+-- 'addPlotable''   ::           a ->                  'AxisState' b v n+-- @+--+-- The last argument is a 'PlotState' so you can use @do@ notation to+-- make adjustments to the plot. The @L@ suffix stands for \"legend\",+-- it is equivalent of using 'addLegendEntry' in the 'PlotState'. Since+-- legend entries are so common it has it's own suffix. The following+-- are equivalent:+--+-- @+-- myaxis = 'r2Axis' &~ do+--   'addPlotable'' myplot $ do+--     'addLegendEntry' "my plot"+-- @+--+-- Most of the time you won't use these functions directly. However,+-- other plotting functions follow this naming convention where instead+-- of @a@, it takes the data needed to make the plot.++-- | Add a 'Plotable' 'Plot' to an 'Axis'.+addPlot+  :: (InSpace (BaseSpace c) n p, MonadState (Axis b c n) m, Plotable p b)+  => Plot p b -- ^ the plot+  -> m ()     -- ^ add plot to the 'Axis'+addPlot p = axisPlots <>= [DynamicPlot p]++-- | Add something 'Plotable' to the 'Axis' with a statefull modification+--   of the 'Plot'.+addPlotable+  :: (InSpace (BaseSpace c) n p, MonadState (Axis b c n) m, Plotable p b)+  => p -- ^ the raw plot+  -> State (Plot p b) () -- ^ changes to the plot+  -> m () -- ^ add plot to the 'Axis'+addPlotable p s = addPlot $ execState s (mkPlot p)++-- | Simple version of 'AddPlotable' without any changes 'Plot'.+addPlotable'+  :: (InSpace (BaseSpace v) n p, MonadState (Axis b v n) m, Plotable p b)+  => p    -- ^ the raw plot+  -> m () -- ^ add plot to the 'Axis'+addPlotable' p = addPlotable p (return ())++------------------------------------------------------------------------+-- Predefined axes+------------------------------------------------------------------------++-- | The default axis for plots in the 'V2' coordinate system.+r2Axis+  :: (TypeableFloat n,+     Renderable (Text n) b,+     Renderable (Path V2 n) b)+  => Axis b V2 n+r2Axis = Axis+  { _axisStyle  = fadedColours+  , _colourBar  = defColourBar+  , _colourBarR = (0,1)+  , _axisTitle  = def++  , _legend       = def+  , _axisPlots    = []+  , _plotModifier = mempty++  , _axes = pure def+  }++-- The x-axis ----------------------------------------------------------++-- | Lens onto the x-axis of an 'Axis'.+xAxis :: R1 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)+xAxis = axes . _x++-- | The label for the x-axis. Shorthand for @'xAxis' . 'axisLabelText'@.+xLabel :: R1 c => Lens' (Axis b c n) String+xLabel = xAxis . axisLabelText++-- | The minimum x value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+xMin :: R1 c => Lens' (Axis b c n) (Maybe n)+xMin = xAxis . boundMin++-- | The minimum x value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+xMax :: R1 c => Lens' (Axis b c n) (Maybe n)+xMax = xAxis . boundMax++-- The y-axis ----------------------------------------------------------++-- | Lens onto the y-axis of an 'Axis'.+yAxis :: R2 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)+yAxis = axes . _y++-- | The label for the y-axis. Shorthand for @'yAxis' . 'axisLabelText'@.+yLabel :: R2 c => Lens' (Axis b c n) String+yLabel = yAxis . axisLabelText++-- | The minimum y value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+yMin :: R2 c => Lens' (Axis b c n) (Maybe n)+yMin = yAxis . boundMin++-- | The minimum y value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+yMax :: R2 c => Lens' (Axis b c n) (Maybe n)+yMax = yAxis . boundMax++-- The z-axis ----------------------------------------------------------++-- | Lens onto the z-axis of an 'Axis'.+zAxis :: R3 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)+zAxis = axes . _z++-- | The label for the z-axis. Shorthand for @'zAxis' . 'axisLabelText'@.+zLabel :: R3 c => Lens' (Axis b c n) String+zLabel = zAxis . axisLabelText++-- | The minimum z value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+zMin :: R3 c => Lens' (Axis b c n) (Maybe n)+zMin = zAxis . boundMin++-- | The minimum z value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+zMax :: R3 c => Lens' (Axis b c n) (Maybe n)+zMax = zAxis . boundMax++-- The r-axis ----------------------------------------------------------++-- | Lens onto the radial axis of an 'Axis'.+rAxis :: Radial c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)+rAxis = axes . _radial++-- | The label for the radial axis. Shorthand for @'rAxis' . 'axisLabelText'@.+rLabel :: Radial c => Lens' (Axis b c n) String+rLabel = rAxis . axisLabelText++-- | The minimum z value for the axis. If the value if 'Nothing' (the+--   'Default'), the bounds will be infered by the plots in the axis.+-- rMin :: R3 c => Lens' (Axis b c n) (Maybe n)+-- rMin = zAxis . boundMin++-- | The minimum radial value for the axis. If the value if 'Nothing'+--   (the 'Default'), the bounds will be infered by the plots in the+--   axis.+rMax :: Radial c => Lens' (Axis b c n) (Maybe n)+rMax = rAxis . boundMax++-- The theta-axis ------------------------------------------------------++-- | Lens onto the radial axis of an 'Axis'.+thetaAxis :: Circle c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)+thetaAxis = axes . el etheta++-- | The label for the radial axis. Shorthand for @'rAxis' . 'axisLabelText'@.+thetaLabel :: Circle c => Lens' (Axis b c n) String+thetaLabel = thetaAxis . axisLabelText+++-- R3 Axis++-- instance (TypeableFloat n, Enum n, Renderable (Text n) b, Renderable (Path V2 n) b)+--     => Default (Axis b V3 n) where+--   def = Axis+--           { _axisTitle      = Nothing+--           , _axisSize       = mkWidth 300+--           , _axisPlots      = []+--           , _axisLegend     = def+--           , _axisTheme      = coolTheme+--           , _axisLinearMap  = isometricProjection+--           , _axisAxisBounds = Bounds $ pure def+--           , _axisGridLines  = pure def+--           , _axisLabels     = pure def+--           , _axisScaling    = pure def+--           , _axisTickLabels = pure def+--           , _axisTicks      = pure def+--           , _axisLines      = pure def+--           }++-- R3 Axis++polarAxis+  :: (TypeableFloat n,+      Renderable (Text n) b,+      Renderable (Path V2 n) b)+  => Axis b Polar n+polarAxis = Axis+  { _axisStyle  = fadedColours+  , _colourBar  = defColourBar+  , _colourBarR = (0,1)+  , _axisTitle  = def++  , _legend       = def+  , _axisPlots    = []+  , _plotModifier = mempty++  , _axes = pure def+  }+

@@ -0,0 +1,347 @@+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RecordWildCards        #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+{-# LANGUAGE ViewPatterns           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.ColourBar+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Options for rendering a colour bar, either attached to an axis or+-- rendered separately.+--+-- To change the colour map used for the colour bar see+-- 'Plots.Style.axisColourMap' from "Plots.Style".+--+----------------------------------------------------------------------------+module Plots.Axis.ColourBar+ ( -- * The colour bar+   ColourBar+ , HasColourBar (..)+ , defColourBar++   -- ** Rendering options+ , gradientColourBar+ , pathColourBar++   -- * Rendering colour bars+ , renderColourBar+ , addColourBar+ ) where++import           Data.Bool               (bool)+import           Data.Typeable+import           Diagrams.Core.Transform (fromSymmetric)+import           Diagrams.Prelude        hiding (gap)+import           Diagrams.TwoD.Text+import           Plots.Axis.Grid+import           Plots.Axis.Labels+import           Plots.Axis.Ticks+import           Plots.Style+import           Plots.Types+import           Plots.Util++-- | Options for drawing a colour bar. Note that for an axis, the+--   'ColourMap' is stored in the 'AxisStyle'. These options are for+--   other aspects of the bar, not the colours used.+data ColourBar b n = ColourBar+  { cbPlacement  :: Placement+  , cbVisible    :: Bool+  , cbTicks      :: MajorTicks V2 n+  , cbGridLines  :: MajorGridLines V2 n+  , cbTickLabels :: TickLabels b V2 n+  , cbDraw       :: ColourMap -> QDiagram b V2 n Any+  , cbWidth      :: n+  , cbLengthFun  :: n -> n+  , cbGap        :: n+  , cbStyle      :: Style V2 n+  }++type instance V (ColourBar b n) = V2+type instance N (ColourBar b n) = n++-- | The default colour bar.+defColourBar :: (Renderable (Text n) b, Renderable (Path V2 n) b, TypeableFloat n)+             => ColourBar b n+defColourBar = ColourBar+  { cbPlacement   = rightMid+  , cbVisible     = False+  , cbTicks       = def+  , cbGridLines   = def+  , cbTickLabels  = def+  , cbDraw        = gradientColourBar+  , cbWidth       = 20+  , cbLengthFun   = id+  , cbGap         = 20+  , cbStyle       = mempty+  }++class HasColourBar a b | a -> b where+  -- | Lens onto the 'ColourBar'.+  colourBar :: Lens' a (ColourBar b (N a))++  -- | How to draw the colour bar. Expects a 1 by 1 box with the+  --   gradient going from left to right, without an outline with origin+  --   in the middle of the left side. See 'gradientColourBar' and+  --   'pathColourBar'.+  --+  --   The colour map this function recieves it given by+  --   'Plots.Style.axisColourMap' from "Plots.Style"+  --+  --   Default is 'gradientColourBar'.+  colourBarDraw :: Lens' a (ColourMap -> QDiagram b V2 (N a) Any)+  colourBarDraw = colourBar . lens cbDraw (\c a -> c {cbDraw = a})++  -- | The width (orthogonal to the colour bar direction) of the colour+  --   bar.+  --+  --   'Default' is @20@.+  colourBarWidth :: Lens' a (N a)+  colourBarWidth = colourBar . lens cbWidth (\c a -> c {cbWidth = a})++  -- | Set the length of the colour bar given the length of the axis the+  --   colour bar is aligned to.+  --+  --   'Default' is 'id'.+  colourBarLengthFunction :: Lens' a (N a -> N a)+  colourBarLengthFunction = colourBar . lens cbLengthFun (\c a -> c {cbLengthFun = a})++  -- | Gap between the axis and the colour bar (if rendered with an axis).+  --+  --   'Default' is @20@.+  colourBarGap :: Lens' a (N a)+  colourBarGap = colourBar . lens cbGap (\c a -> c {cbGap = a})++  -- | Style used for the outline of a colour bar.+  colourBarStyle :: Lens' a (Style V2 (N a))+  colourBarStyle = colourBar . lens cbStyle (\c a -> c {cbStyle = a})++instance HasColourBar (ColourBar b n) b where+  colourBar = id++instance HasGap (ColourBar b n) where+  gap = colourBarGap++instance HasPlacement (ColourBar b n) where+  placement = lens cbPlacement (\c p -> c {cbPlacement = p})++-- This is a kinda strange instance that I'm using as an experiment.+-- The Orientation depends on the 'Placement' of the colour bar.+--+-- \ N /+-- W * E+-- / S \+--+-- if it's on the east or west it's vertical, north or south it's+-- horizontal. If it's on a border it uses whatever way the gap+-- direction points. If the direction is parallel to the direction it's+-- on, we arbitrary choose pointing NE or SE to be vertical, NW and SW+-- to be horizontal (just for completeness, having such gap directions+-- doesn't make much sense).+--+-- When reversing the direction we map E <-> S and N <-> W. The gap+-- direction is rotated to match the new position and anchor has its x+-- and y flipped.+instance HasOrientation (ColourBar b n) where+  orientation = lens getter setter where++    getter p+      | north     || south = Horizontal+      | east      || west  = Vertical+      | northEast          = bool Horizontal Vertical (dx > dy)+      | southEast          = bool Horizontal Vertical (dx > -dy)+      | southWest          = bool Horizontal Vertical (dx < dy)+      | northWest          = bool Horizontal Vertical (dx < -dy)+      | otherwise          = error $ "internal error: get colourBar orientation: "+                                  ++ show (p ^. placement)+      where+        V2 x y   = p ^. placementAt+        V2 dx dy = p ^. gapDirection . _Dir+        north = x < y && x > (-y)+        east  = x > y && x > (-y)+        south = x > y && x < (-y)+        west  = x < y && x < (-y)+        northEast = x ==   y  && x > 0+        southEast = x == (-y) && x > 0+        southWest = x ==   y  && x < 0+        northWest = x == (-y) && x < 0++    setter p o+      | getter p == o = p+      | otherwise     = p & placementAt        %~ flipX_Y+                          & placementAnchor    %~ flipX_Y+                          & gapDirection ._Dir %~ flipX_Y++instance Typeable n => HasStyle (ColourBar b n) where+  applyStyle sty = colourBarStyle %~ applyStyle sty++instance Functor f => HasMajorTicks f (ColourBar b n) where+  majorTicks = lens cbTicks (\c a -> c {cbTicks = a})++instance Functor f => HasTickLabels f (ColourBar b n) b where+  tickLabel = lens cbTickLabels (\c a -> c {cbTickLabels = a})++instance HasVisibility (ColourBar b n) where+  visible = lens cbVisible (\c a -> c {cbVisible = a})++-- | Add a colour bar to an object, using the bounding box for the object.+addColourBar+  :: (TypeableFloat n, Renderable (Path V2 n) b)+  => BoundingBox V2 n -- ^ bounding box to place against+  -> ColourBar b n --+  -> ColourMap+  -> (n,n)+  -> QDiagram b V2 n Any+addColourBar bb cbo@ColourBar {..} cm bnds+  | cbVisible = placeAgainst bb cbPlacement cbGap cb+  | otherwise = mempty+  where+    cb       = renderColourBar cbo cm bnds l+    -- the length used for the rendered colour bar+    l = cbLengthFun bbl+    -- the length of the side of the bounding box the colour bar will be+    -- against+    bbl = orient cbo bx by+    V2 bx by = boxExtents bb++-- | Render a colour bar by it's self at a given width. Note this+--   ignores 'colourBarGap' and 'colourBarLengthFunction'.+renderColourBar+  :: (TypeableFloat n, Renderable (Path V2 n) b)+  => ColourBar b n -- ^ options for colour bar+  -> ColourMap     -- ^ map to use+  -> (n,n)         -- ^ bounds of the values on the colour bar+  -> n             -- ^ length of the colour bar+  -> QDiagram b V2 n Any+renderColourBar cb@ColourBar {..} cm bnds@(lb,ub) l+  | cbVisible = bar # xy id reflectY+                    # o id (reflectY . _reflectX_Y)++             <> tLbs+  | otherwise = mempty++  where+  -- These functions deal with the different cases for the position of+  -- the colour bar so that the ticks and labels are on the outside of+  -- the axis and the bar horizontal/vertical depending on which side+  -- the bar is on.+  o, xy :: a -> a -> a+  o      = orient cb+  xy a b = if let V2 x y = cb^.placementAt in x > y+             then a else b++  w   = cbWidth+  -- move a value on the colour bar such that+  --   f lb = -l/2+  --   f ub =  l/2+  -- so it ligns up with the colour bar+  f x = (x - (ub + lb)/2) / (ub - lb) * l+  inRange x = x >= lb && x <= ub++  bar = outline <> tks <> gLines <> colours++  -- the outline+  outline = rect l w # applyStyle (cbStyle & _fillTexture .~ _AC ## transparent)++  -- displaying the colour map+  colours = cbDraw cm # centerXY # scaleX l # scaleY w++  -- the ticks+  tickXs  = view majorTicksFunction cbTicks bnds+  tickXs' = filter inRange tickXs+  tks+    | cbTicks ^. hidden = mempty+    | otherwise = foldMap (\x -> aTick # translate (V2 (f x) (-w/2))) tickXs'+  aTick = someTick (cbTicks ^. majorTicksAlignment) (cbTicks ^. majorTicksLength)++  someTick tType d = case tType of+    TickSpec (fromRational -> aa) (fromRational -> bb)+             -> mkP2 0 (-d*bb) ~~ mkP2 0 (d*aa)+    AutoTick -> mkP2 0 (-d)    ~~ mkP2 0 d++  -- grid lines+  gridXs = filter inRange $ view majorGridLinesFunction cbGridLines tickXs bnds+  gLines+    | cbGridLines ^. hidden = mempty+    | otherwise             = foldMap mkGridLine gridXs+                                # strokePath+                                # applyStyle (cbGridLines ^. majorGridLinesStyle)+  mkGridLine x = mkP2 (f x) (-w/2) ~~ mkP2 (f x) (w/2)++  -- tick labels+  tickLabelXs = view tickLabelFunction cbTickLabels tickXs' bnds+  tLbs+    | cbTickLabels ^. hidden = mempty+    | otherwise              = foldMap drawTickLabel tickLabelXs+  drawTickLabel (x,label) =+    view tickLabelTextFunction cbTickLabels tAlign label+      # translate v+      # applyStyle (cbTickLabels ^. tickLabelStyle)+        where v = V2 (f x) (- w/2 - view tickLabelGap cbTickLabels)+                    # xy id (_y %~ negate)+                    # o id ((_y %~ negate) . flipX_Y)++  tAlign = o (xy (BoxAlignedText 0.5 1) (BoxAlignedText 0.5 0))+             (xy (BoxAlignedText 0 0.5) (BoxAlignedText 1 0.5))++-- > import Plots+-- > gradientColourBarExample = gradientColourBar viridis # scaleX 20+-- > pathColourBarExample = pathColourBar 10 viridis # scaleX 20++-- | The colour bar generated by a gradient texture. The final diagram+--   is 1 by 1, with origin at the middle of the left side. This can be+--   used as the 'colourBarDraw' function.+--+--   This may not be supported by all backends.+--+--   <<diagrams/src_Plots_Axis_ColourBar_gradientColourBarExample.svg#diagram=gradientColourBarExample&width=600>>+gradientColourBar :: (TypeableFloat n, Renderable (Path V2 n) b) => ColourMap -> QDiagram b V2 n Any+gradientColourBar cm =+  rect 1 1+    # fillTexture grad+    # lw none+  where+    stops = map (\(x,c) -> GradientStop (SomeColor c) (fromRational x)) (colourList cm)+    grad  = defaultLG & _LG . lGradStops .~ stops++-- | Construct a colour bar made up of @n@ solid square paths. The final+--   diagram is 1 by 1, with origin at the middle of the left side. This+--   can be used as the 'colourBarDraw' function.+--+--   <<diagrams/src_Plots_Axis_ColourBar_pathColourBarExample.svg#diagram=pathColourBarExample&width=600>>+pathColourBar :: (TypeableFloat n, Renderable (Path V2 n) b)+              => Int -> ColourMap -> QDiagram b V2 n Any+pathColourBar n cm = ifoldMap mkR xs+  where+    mkR i x = rect d' 1+                # alignR+                # fcA (cm ^. ixColour (x - 1/(2*fromIntegral n)))+                # translateX (fromRational x)+                # lw none+      where+        -- Some vector viewers don't render touching blocks of colour+        -- correctly. To solve this we overlap by half a bar length for+        -- all except the first bar (which is the one on top).+        d' | i == 0 = d+           | otherwise  = d*1.5++    xs = tail (enumFromToN 0 1 n)+    d  = 1 / fromIntegral n++flipX_Y :: Num n => V2 n -> V2 n+flipX_Y (V2 x y) = V2 (-y) (-x)++_reflectionX_Y :: (Additive v, R2 v, Num n) => Transformation v n+_reflectionX_Y = fromSymmetric $ (_xy %~ flipX_Y) <-> (_xy %~ flipX_Y)++_reflectX_Y :: (InSpace v n t, R2 v, Transformable t) => t -> t+_reflectX_Y = transform _reflectionX_Y+

@@ -0,0 +1,256 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Grid+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Lines that go along the axis. Supports major and minor gird lines+-- separately for each axis.+--+----------------------------------------------------------------------------+module Plots.Axis.Grid+  ( -- * Grid lines+    GridLines+  , HasGridLines (..)++  , MajorGridLines+  , HasMajorGridLines (..)+  , MinorGridLines+  , HasMinorGridLines (..)++    -- * Extra traversals+  , gridLinesStyle+  , gridLinesVisible++  , hideGridLines+  , showGridLines++    -- * Grid line functions+  , GridLineFunction+  , onTicksGridLineFunction+  , emptyGridLineFunction++  ) where++import           Control.Lens        hiding (( # ))+import           Data.Data+import           Data.Default+import           Control.Monad.State++import           Diagrams.Prelude+import           Plots.Types++-- | A grid line function takes the positions of the respective ticks+--   (minor ticks for minor grid lines, major ticks for major grid+--   lines) and the bounds of the axis and returns the positions of the+--   grid lines.+--+--   These functions are used in conjuction with 'majorGridLineFunction'+--   and 'minorGridLineFunction' to control how the lines are drawn.+type GridLineFunction n = [n] -> (n, n) -> [n]++------------------------------------------------------------------------+-- Major grid lines+------------------------------------------------------------------------++data MajorGridLines v n = MajorGridLines+  { magFun     :: GridLineFunction n+  , magStyle   :: Style v n+  , magVisible :: Bool+  } deriving Typeable++type instance V (MajorGridLines v n) = v+type instance N (MajorGridLines v n) = n++class HasMajorGridLines f a where+  -- | The options for how to draw the grid lines. This can be used on+  --   various levels of the axis:+  --+  -- @+  -- 'majorGridLines' :: 'Traversal'' ('Axis' b c n)       ('GridLines' ('BaseSpace' c) n)+  -- 'majorGridLines' :: 'Lens''      ('SingleAxis' b v n) ('GridLines' v n)+  -- 'majorGridLines' :: 'Lens''      ('GridLines' v n)    ('GridLines' v n)+  -- @+  majorGridLines :: LensLike' f a (MajorGridLines (V a) (N a))++  -- | The function to calculate location of the major grid lines given+  --   location of the major ticks and bounds.+  majorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction (N a))+  majorGridLinesFunction = majorGridLines . lens magFun (\gl maf -> gl {magFun = maf})++  -- | The style applied to the major grid lines.+  majorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  majorGridLinesStyle = majorGridLines . lens magStyle (\gl sty -> gl {magStyle = sty})++instance HasMajorGridLines f (MajorGridLines v n) where+  majorGridLines = id++instance (Typeable n, Floating n) => Default (MajorGridLines v n) where+  def = MajorGridLines+    { magFun     = onTicksGridLineFunction+    , magStyle   = mempty # lwO 0.8+    , magVisible = True+    }++instance HasVisibility (MajorGridLines v n) where+  visible = lens magVisible (\gl b -> gl {magVisible = b})++instance Typeable n => HasStyle (MajorGridLines v n) where+  applyStyle s = majorGridLinesStyle %~ applyStyle s++------------------------------------------------------------------------+-- Minor grid lines+------------------------------------------------------------------------++data MinorGridLines v n = MinorGridLines+  { migFun     :: GridLineFunction n+  , migStyle   :: Style v n+  , migVisible :: Bool+  } deriving Typeable++type instance V (MinorGridLines v n) = v+type instance N (MinorGridLines v n) = n++class HasMinorGridLines f a where+  -- | The options for how to draw the grid lines. This can be used on+  --   various levels of the axis:+  --+  -- @+  -- 'minorGridLines' :: 'Traversal'' ('Axis' b c n)       ('GridLines' ('BaseSpace' c) n)+  -- 'minorGridLines' :: 'Lens''      ('SingleAxis' b v n) ('GridLines' v n)+  -- 'minorGridLines' :: 'Lens''      ('GridLines' v n)    ('GridLines' v n)+  -- @+  minorGridLines :: LensLike' f a (MinorGridLines (V a) (N a))++  -- | The function to calculate location of the minor grid lines given+  --   location of the minor ticks and bounds.+  minorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction (N a))+  minorGridLinesFunction = minorGridLines . lens migFun (\gl mif -> gl {migFun = mif})+++  -- | The style applied to the minor grid lines.+  minorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  minorGridLinesStyle = minorGridLines . lens migStyle (\gl sty -> gl {migStyle = sty})++instance HasMinorGridLines f (MinorGridLines v n) where+  minorGridLines = id++instance (Typeable n, Floating n) => Default (MinorGridLines v n) where+  def = MinorGridLines+    { migFun     = onTicksGridLineFunction+    , migStyle   = mempty # lwO 0.5+    , migVisible = False+    }++-- | Hidden by default.+instance HasVisibility (MinorGridLines v n) where+  visible = lens migVisible (\gl b -> gl {migVisible = b})++instance Typeable n => HasStyle (MinorGridLines v n) where+  applyStyle s = minorGridLinesStyle %~ applyStyle s++------------------------------------------------------------------------+-- Grid lines helpers+------------------------------------------------------------------------++-- | Place grid lines at the same position as the respective ticks. This+--   is the 'Default'.+onTicksGridLineFunction :: GridLineFunction n+onTicksGridLineFunction = const++-- | The 'GridLineFunction' such that no grid lines appear.+--+--   See 'hideGridLines', 'majorGridLineVisible' or+--   'minorGridLineVisible' if you just want to hide the grid lines.+emptyGridLineFunction :: GridLineFunction n+emptyGridLineFunction _ _ = []++-- | Traversal over both the major and minor grid styles.+--+-- @+-- 'gridLinesVisible' :: 'Traversal'' ('Axis' b c n) 'Bool'+-- 'gridLinesVisible' :: 'Traversal'' ('SingleAxis' b v n) 'Bool'+-- 'gridLinesVisible' :: 'Traversal'' ('GridLines' v n) 'Bool'+-- @+gridLinesVisible :: (HasGridLines f a, Applicative f) => LensLike' f a Bool+gridLinesVisible = gridLines . vis where+  vis :: Traversal' (GridLines v n) Bool+  vis f a =+       (\m mn -> a & majorGridLines . visible .~ m & minorGridLines . visible .~ mn)+         <$> f (a ^. majorGridLines . visible) <*> f (a ^. minorGridLines . visible)++------------------------------------------------------------------------+-- Both grid lines+------------------------------------------------------------------------++-- | Type holding infomation about both major and minor grid lines.+data GridLines v n = GridLines+  { majGrid     :: MajorGridLines v n+  , minGrid     :: MinorGridLines v n+  } deriving Typeable++type instance V (GridLines v n) = v+type instance N (GridLines v n) = n++class (HasMinorGridLines f a, HasMajorGridLines f a) => HasGridLines f a where+  gridLines :: LensLike' f a (GridLines (V a) (N a))++instance Functor f => HasGridLines f (GridLines v n) where+  gridLines = id++instance (Typeable n, Floating n) => Default (GridLines v n) where+  def = GridLines+    { majGrid = def+    , minGrid = def+    }++instance Functor f => HasMajorGridLines f (GridLines v n) where+  majorGridLines = lens majGrid (\g a -> g {majGrid = a})++instance Functor f => HasMinorGridLines f (GridLines v n) where+  minorGridLines = lens minGrid (\g a -> g {minGrid = a})++instance Typeable n => HasStyle (GridLines v n) where+  applyStyle s = (majorGridLines %~ applyStyle s) . (minorGridLines %~ applyStyle s)++-- | Hide both major and minor grid lines.+--+-- @+-- 'hideGridLines' :: 'Axis' b c n       -> 'Axis' b c n+-- 'hideGridLines' :: 'SingleAxis' b c n -> 'SingleAxis' b c n+-- 'hideGridLines' :: 'GridLines' b c n  -> 'GirdLines' b c n+-- @+hideGridLines :: (HasGridLines Identity a, MonadState a m) => m ()+hideGridLines = do+  minorGridLines . visible .= False+  majorGridLines . visible .= False++-- | Show both major and minor grid lines.+--+-- @+-- 'showGridLines' :: 'Axis' b c n       -> 'Axis' b c n+-- 'showGridLines' :: 'SingleAxis' b c n -> 'SingleAxis' b c n+-- 'showGridLines' :: 'GridLines' b c n  -> 'GirdLines' b c n+-- @+showGridLines :: (HasGridLines Identity a, MonadState a m) => m ()+showGridLines = do+  minorGridLines . visible .= True+  majorGridLines . visible .= True++-- | Traversal over both the major and minor grid styles. This can be used at seversal levels in the Axis:+gridLinesStyle :: (HasGridLines f a, Applicative f) => LensLike' f a (Style (V a) (N a))+gridLinesStyle = gridLines . styles where+  styles :: Traversal' (GridLines v n) (Style v n)+  styles f a =+    (\m mn -> a & majorGridLinesStyle .~ m & minorGridLinesStyle .~ mn)+      <$> f (a ^. majorGridLinesStyle) <*> f (a ^. minorGridLinesStyle)

@@ -0,0 +1,236 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Labels+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Low level module defining types for axis labels and tick labels.+--+----------------------------------------------------------------------------+module Plots.Axis.Labels+  ( -- * Axis line labels+    HasAxisLabel (..)+  , AxisLabel+  , AxisLabelPosition (..)+  , AxisLabelPlacement (..)++    -- * Axis tick labels+  , TickLabels+  , HasTickLabels (..)+  , tickLabelPositions+  , atMajorTicks++    -- * Misc+  , TextFunction+  ) where++import           Control.Lens       hiding (( # ))+import           Data.Data+import           Data.Default++import           Diagrams.Prelude   hiding (view)+import           Diagrams.TwoD.Text+import           Plots.Types++-- | Function to render the axis label from a string. This is very basic+--   now and will be replace by a more sophisticated system.+type TextFunction b v n = TextAlignment n -> String -> QDiagram b v n Any++------------------------------------------------------------------------+-- Axis labels+------------------------------------------------------------------------++-- | The position of the 'AxisLabel' along the axis.+data AxisLabelPosition+   = MiddleAxisLabel+   | LowerAxisLabel+   | UpperAxisLabel++-- | Whether the 'AxisLabel' should be inside or ouside the axis.+data AxisLabelPlacement+   = InsideAxisLabel+   | OutsideAxisLabel++data AxisLabel b v n = AxisLabel+  { alFun       :: TextFunction b v n+  , alText      :: String+  , alStyle     :: Style v n+  , alGap       :: n+  , alPos       :: AxisLabelPosition+  , alPlacement :: AxisLabelPlacement+  , alVisible   :: Bool+  }++type instance V (AxisLabel b v n) = v+type instance N (AxisLabel b v n) = n++class HasAxisLabel f a b | a -> b where+  -- | The options for the label of the axis. This can be used on+  --   various levels of the axis:+  --+  -- @+  -- 'axisLabel' :: 'Traversal'' ('Axis' b c n)       ('AxisLabel' ('BaseSpace' c) n)+  -- 'axisLabel' :: 'Lens''      ('SingleAxis' b v n) ('AxisLabel' v n)+  -- 'axisLabel' :: 'Lens''      ('AxisLabel' v n)    ('AxisLabel' v n)+  -- @+  axisLabel :: LensLike' f a (AxisLabel b (V a) (N a))++  -- | The text to use when labeling the axis.+  axisLabelText :: Functor f => LensLike' f a String+  axisLabelText = axisLabel . lens alText (\al txt -> al {alText = txt})++  -- | The 'TextFunction' to render the text of the axis label.+  axisLabelTextFunction :: Functor f => LensLike' f a (TextFunction b (V a) (N a))+  axisLabelTextFunction = axisLabel . lens alFun (\al f -> al {alFun = f})++  -- | The gap between the axis and the labels, in the direction+  --   corresponding to the 'axisLabelPosition'.+  axisLabelGap :: Functor f => LensLike' f a (N a)+  axisLabelGap = axisLabel . lens alGap (\al sty -> al {alGap = sty})++  -- | The 'Style' to use on the rendered text.+  axisLabelStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  axisLabelStyle = axisLabel . lens alStyle (\al sty -> al {alStyle = sty})++  -- | The position the label will be placed parallel the axis.+  axisLabelPosition :: Functor f => LensLike' f a AxisLabelPosition+  axisLabelPosition = axisLabel . lens alPos (\al sty -> al {alPos = sty})++  -- | Whether the axis label should be placed inside or outside the+  --   axis.+  axisLabelPlacement :: Functor f => LensLike' f a AxisLabelPosition+  axisLabelPlacement = axisLabel . lens alPos (\al sty -> al {alPos = sty})++instance HasAxisLabel f (AxisLabel b v n) b where+  axisLabel = id++instance Typeable n => HasStyle (AxisLabel b v n) where+  applyStyle = over axisLabelStyle . applyStyle++instance HasVisibility (AxisLabel b v n) where+  visible = lens alVisible (\al b -> al {alVisible = b})++instance HasGap (AxisLabel b v n) where+  gap = axisLabelGap++instance (TypeableFloat n, Renderable (Text n) b)+    => Default (AxisLabel b V2 n) where+  def = AxisLabel+    { alFun       = mkText+    , alText      = ""+    , alStyle     = mempty & fontSize (output 11)+                           & recommendFillColor black+    , alGap       = 30+    , alPos       = MiddleAxisLabel+    , alPlacement = OutsideAxisLabel+    , alVisible   = True+    }++------------------------------------------------------------------------+-- Tick labels+------------------------------------------------------------------------++-- Labels that are placed next to the ticks of an axis.++data TickLabels b v n = TickLabels+  { tlFun     :: [n] -> (n,n) -> [(n, String)]+  , tlTextFun :: TextFunction b v n+  , tlStyle   :: Style v n+  , tlGap     :: n+  , tlVisible :: Bool+  } deriving Typeable++type instance V (TickLabels b v n) = v+type instance N (TickLabels b v n) = n++class HasTickLabels f a b | a -> b where+  -- | The options for the label of ticks. This can be used on various+  --   levels of the axis:+  --+  -- @+  -- 'tickLabel' :: 'Traversal'' ('Tick' b c n)       ('TickLabels' ('BaseSpace' c) n)+  -- 'tickLabel' :: 'Lens''      ('SingleAxis' b v n) ('TickLabels' v n)+  -- 'tickLabel' :: 'Lens''      ('TickLabel' v n)    ('TickLabels' v n)+  -- @+  tickLabel :: LensLike' f a (TickLabels b (V a) (N a))++  -- | The 'TextFunction' to render the text.+  --+  --   'Default' is 'mkText'.+  tickLabelTextFunction :: Functor f => LensLike' f a (TextFunction b (V a) (N a))+  tickLabelTextFunction = tickLabel . lens tlTextFun (\tl f -> tl {tlTextFun = f})++  -- | Tick labels functions are used to draw the tick labels. They has+  --   access to the major ticks and the current bounds. Returns the+  --   position of the tick and label to use at that position.+  --+  --   'Default' is @'atMajorTicks' 'floatShow'@+  tickLabelFunction :: Functor f => LensLike' f a ([N a] -> (N a, N a) -> [(N a, String)])+  tickLabelFunction = tickLabel . lens tlFun (\tl f -> tl {tlFun = f})++  -- | The 'Style' to use on the rendered text.+  --+  --   'Default' is @'fontSize' ('output' 11)@.+  tickLabelStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  tickLabelStyle = tickLabel . lens tlStyle (\tl sty -> tl {tlStyle = sty})++  -- | The gap between the axis and the tick labels.+  --+  --   'Default' is @12@.+  tickLabelGap :: Functor f => LensLike' f a (N a)+  tickLabelGap = tickLabel . lens tlGap (\tl n -> tl {tlGap = n})++instance HasTickLabels f (TickLabels b v n) b where+  tickLabel = id++instance HasGap (TickLabels b v n) where+  gap = tickLabelGap++instance (TypeableFloat n, Renderable (Text n) b)+    => Default (TickLabels b V2 n) where+  def = TickLabels+    { tlFun     = atMajorTicks floatShow+    , tlTextFun = mkText+    , tlStyle   = mempty & fontSize (output 11)+                         & recommendFillColor black+    , tlGap     = 12+    , tlVisible = True+    }++instance HasVisibility (TickLabels b v n) where+  visible = lens tlVisible (\tl b -> tl {tlVisible = b})++-- | Setter over the final positions the major ticks. This is not as+--   general as 'minorTicksFunction' because you don't have access to+--   the bounds but it can be useful when you know exactly what ticks+--   you want to add or modify existing tick positions.+tickLabelPositions+  :: (HasTickLabels f a b, Settable f)+  => LensLike' f a [(N a, String)]+tickLabelPositions = tickLabelFunction . mapped . mapped++-- | Numbers are shown as 'Float's to reduce the chance of numbers like+--   1.30000000008. (This is not an ideal solution.)+floatShow :: Real n => n -> String+floatShow = show . (realToFrac :: Real n => n -> Float)++-- | Make a 'TickLabelFunction' by specifying how to draw a single label+--   from a position on the axis.+atMajorTicks :: (n -> String) -> [n] -> (n,n) -> [(n, String)]+atMajorTicks f ticks _ = map ((,) <*> f) ticks++-- -- | Use the list of strings as the labels for the axis, starting at 1+-- --   and going to 2, 3, 4 ... .+-- stringLabels :: Num n => [(n, String)] -> TickLabelFunction n+-- stringLabels nms _ _ = iover (each . itraversed) (\i l -> (fromIntegral (i + 1), l)) nms+

@@ -0,0 +1,103 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Line+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- The lines that make up an axis.+--+----------------------------------------------------------------------------+module Plots.Axis.Line+  ( -- * Grid lines+    AxisLine+  , HasAxisLine (..)++    -- * Axis line types+  , AxisLineType (..)++  ) where++import           Control.Lens     hiding (( # ))+import           Data.Data+import           Data.Default++import           Diagrams.Prelude+import Plots.Types++-- | Where axis line for coordinate should be drawn. The 'Default' is+--   'BoxAxisLine'.+data AxisLineType+  = BoxAxisLine+  | LeftAxisLine+  | MiddleAxisLine+  | RightAxisLine+  | NoAxisLine+  deriving (Show, Eq, Typeable)++instance Default AxisLineType where+  def = BoxAxisLine++-- | Information about position and style of axis lines.+data AxisLine v n = AxisLine+  { alType      :: AxisLineType+  , alArrowOpts :: Maybe (ArrowOpts n)+  , alVisible   :: Bool+  , alStyle     :: Style v n+  } deriving Typeable++type instance V (AxisLine v n) = v+type instance N (AxisLine v n) = n++-- | Class of object that have an 'AxisLine'.+class HasAxisLine f a where+  -- | Lens onto the 'AxisLine'.+  axisLine :: LensLike' f a (AxisLine (V a) (N a))++  -- | The position of the axis line around the axis.+  --+  --   'Default' is 'BoxAxisLine'.+  axisLineType :: Functor f => LensLike' f a AxisLineType+  axisLineType = axisLine . lens alType (\al sty -> al {alType = sty})++  -- | The options for if you want the axis line to have arrows at the+  --   end.+  --+  --   'Default' is 'Nothing'.+  --+  --   XXX (feature not currently implimented)+  axisLineArrowOpts :: Functor f => LensLike' f a (Maybe (ArrowOpts (N a)))+  axisLineArrowOpts = axisLine . lens alArrowOpts (\al sty -> al {alArrowOpts = sty})++  -- | The 'Style' applied to the axis line+  axisLineStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  axisLineStyle = axisLine . lens alStyle (\al sty -> al {alStyle = sty})++instance HasAxisLine f (AxisLine v n) where+  axisLine = id++--   Note this is different from 'NoAxisLine'. Other parts that are+--   tied to the axis line will still be present when+--   'axisLineVisible' is 'False'. But if 'NoAxisLine' is set, there+--   never any line for those things to attach to, so they don't+--   exist.+instance HasVisibility (AxisLine v n) where+  visible = lens alVisible (\al b -> al {alVisible = b})++instance Typeable n => Default (AxisLine v n) where+  def = AxisLine+    { alType  = def+    , alArrowOpts = def+    , alVisible = True+    , alStyle = mempty+    }+

@@ -0,0 +1,671 @@+{-# LANGUAGE DeriveDataTypeable    #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE FlexibleInstances     #-}+{-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE MultiWayIf            #-}+{-# LANGUAGE RankNTypes            #-}+{-# LANGUAGE ScopedTypeVariables   #-}+{-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE UndecidableInstances  #-}+{-# LANGUAGE ViewPatterns          #-}++-- Orphan Mainable Axis instance.+{-# OPTIONS_GHC -fno-warn-orphans #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Render+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Low level module containing functions for rendering different types+-- of axis.+--+----------------------------------------------------------------------------+module Plots.Axis.Render+  ( -- * Rendering axes+    RenderAxis (..)+  , r2AxisMain++    -- * Low level+  , buildPlots+  )where++import           Data.Foldable+import           Data.Typeable+import           Data.Bool+import           Data.List (sort)++import           Diagrams.BoundingBox+import           Diagrams.Prelude+import           Diagrams.TwoD.Text+import           Linear                     hiding (translation, rotate)++import           Diagrams.Backend.CmdLine+import           Diagrams.Coordinates.Polar++import           Plots.Axis+import           Plots.Axis.ColourBar+import           Plots.Axis.Grid+import           Plots.Axis.Labels+import           Plots.Axis.Line+import           Plots.Axis.Scale+import           Plots.Axis.Title+import           Plots.Axis.Ticks+import           Plots.Legend+import           Plots.Style+import           Plots.Types+import           Plots.Util++import           Prelude++------------------------------------------------------------------------+-- Mainable instances+------------------------------------------------------------------------++instance (TypeableFloat n,+          Renderable (Path V2 n) b,+          Mainable (QDiagram b V2 n Any))+       => Mainable (Axis b Polar n) where+  type MainOpts (Axis b Polar n) = MainOpts (QDiagram b V2 n Any)++  mainRender opts = mainRender opts . renderAxis++instance (TypeableFloat n,+          Renderable (Path V2 n) b,+          Mainable (QDiagram b V2 n Any))+       => Mainable (Axis b V2 n) where+  type MainOpts (Axis b V2 n) = MainOpts (QDiagram b V2 n Any)++  mainRender opts = mainRender opts . renderAxis++instance ToResult (Axis b v n) where+  type Args (Axis b v n) = ()+  type ResultOf (Axis b v n) = Axis b v n++  toResult d _ = d++-- | 'mainWith' specialised to a 2D Axis.+r2AxisMain+  :: (Parseable (MainOpts (QDiagram b V2 Double Any)),+      Mainable (Axis b V2 Double))+  => Axis b V2 Double+  -> IO ()+r2AxisMain = mainWith++------------------------------------------------------------------------+-- Low level functions+------------------------------------------------------------------------++-- | Build a list of styled plots from the axis, ready to be rendered.+--   This takes into account any 'AxisStyle' changes and applies the+--   'finalPlots' modifications.+--+--   The 'StyledPlots' can be rendered with 'renderStyledPlot' and the+--   legend entries can be obtained with 'styledPlotLegends'. This is+--   what 'renderAxis' can uses internally but might be useful for+--   debugging or generating your own legend.+buildPlots :: BaseSpace c ~ v => Axis b c n -> [StyledPlot b v n]+buildPlots a = map (appEndo $ a ^. plotModifier)+             $ zipWith styleDynamic (a ^.. axisStyles) (a ^. axisPlots)+             -- TODO: correct order++------------------------------------------------------------------------+-- Render axis+------------------------------------------------------------------------++-- | Renderable axes.+class RenderAxis b v n where+  -- | Render an axis to a diagram. The size of the diagram is+  --   determined by the 'axisSize'.+  renderAxis :: Axis b v n -> QDiagram b (BaseSpace v) n Any++-- | The 'RenderAxis' class provides a default way to render an axis for+--  each space.+instance (TypeableFloat n, Renderable (Path V2 n) b)+    => RenderAxis b V2 n where+  -- | Render an axis and its plots, as well as the legend and colour+  --   bar.+  renderAxis = renderR2Axis++renderR2Axis :: (TypeableFloat n, Renderable (Path V2 n) b)+  => Axis b V2 n -> QDiagram b V2 n Any+renderR2Axis a = frame 40+               $ leg+              <> ttl+              <> cBar+              <> plots+              <> drawAxis ex ey LowerLabels+              <> drawAxis ey ex LeftLabels+  where+    spec  = AxisSpec xs t (a^.axes . column logScale) (a ^. axisColourMap)+    plots = foldMap (renderStyledPlot spec) styledPlots+    drawAxis ll ll2 = axisOnBasis origin xs (a^.axes.el ll) (a^.axes.column logScale) t ll ll2+    --+    (xs, tv, t') = calculateScaling (a^.axes.column axisScaling) (boundingBox styledPlots)+    t = tv <> t'+    --+    bb = fromCorners (P . apply t $ fmap fst xs) (P . apply t $ fmap snd xs)+    leg = drawLegend bb (styledPlotLegends styledPlots) (a ^. legend)+    --++    -- The colour bar+    cBar = addColourBar bb (a^.colourBar) (a ^. axisColourMap) (a^.colourBarRange)+    -- title+    ttl = drawTitle bb (a^.title)+    --+    styledPlots = buildPlots a++-- | The position of axis labels for a+data LabelPosition+  = NoLabels+  | LowerLabels+  | LeftLabels+  | RightLabels+  | UpperLabels+  deriving (Show, Eq, Typeable)++axisOnBasis+  :: forall b v n. (v ~ V2, TypeableFloat n, HasLinearMap v, Metric v,+                    Renderable (Path V2 n) b, n ~ N (v n), v ~ V (v n), OrderedField n)+  => Point v n        -- start of axis+  -> v (n, n)         -- calculated bounds+  -> SingleAxis b v n -- axis data+  -> v LogScale       -- log scale+  -> T2 n             -- transformation to apply to positions of things+  -> E v              -- direction of axis+  -> E v              -- orthogonal direction of axis+  -> LabelPosition    -- where (if at all) should labels be placed?+  -> QDiagram b V2 n Any   -- resulting axis+axisOnBasis p bs a ls t e eO lp+  | a ^. hidden = phantom axis+  | otherwise   = axis+  where+    axis = tickLabels <> axLabels <> ticks <> line <> grid+    tStroke = stroke . transform t++    -- axis labels (x,y etc.)+    axLabels+      | null txt || lp == NoLabels || a ^. axisLabel . hidden+                  = mempty+      | otherwise = (a ^. axisLabelTextFunction) txtAlign txt+                      # moveTo p'+                      # applyStyle (a ^. axisLabelStyle)+      where+        p' = p & ep e  .~ x+               & ep eO .~ y0+               -- & logPoint ls+               & coscale+               & papply t+               & ep eO +~ negate' labelGap+        labelGap = a ^. axisLabelGap+        txt      = a ^. axisLabelText+        x = case a ^. axisLabelPosition of+              MiddleAxisLabel -> (x0 + x1) / 2+              LowerAxisLabel  -> x0+              UpperAxisLabel  -> x1+        -- axLabelD = a ^. axisLabels . el e++    -- tick labels+    tickLabels+      | lp == NoLabels || a ^. tickLabel . hidden = mempty+      | otherwise = foldMap drawLabels (map snd $ take 1 ys)+                      # applyStyle (a ^. tickLabelStyle)+      where+        -- tickLabelsD  = a ^. axisTickLabels . el e+        labelFun     = a ^. tickLabelFunction+        drawLabels y = foldMap f (labelFun (filter inRange majorTickXs) b)+          where+            f (x, l) = place dia p'+              where+                dia = view tickLabelTextFunction a txtAlign l+                p' = p & ep e  .~ x+                       & ep eO .~ y+                       -- & logPoint ls+                       & coscale+                       & papply t+                       & ep eO +~ negate' (a ^. tickLabelGap)++    -- the grid++    grid = majorLines <> minorLines+      where+        majorLines+          | a ^. majorGridLines . hidden = mempty+          | otherwise = foldMap mkGridLine majorGridXs'+                          # tStroke+                          # applyStyle (a ^. majorGridLinesStyle)+        majorGridXs  = view majorGridLinesFunction a majorTickXs b+        majorGridXs' = map coscaleNum (filter inRange majorGridXs)+        --+        minorLines+          | a ^. minorGridLines . hidden = mempty+          | otherwise = foldMap mkGridLine minorGridXs'+                       # tStroke+                       # applyStyle (a ^. minorGridLinesStyle)+        minorGridXs  = view minorGridLinesFunction a minorTickXs b+        minorGridXs' = map coscaleNum (filter inRange minorGridXs)+        -- --+        mkGridLine x = pathFromVertices [f y0, f y1]+          where f y = over lensP ((el e .~ x) . (el eO .~ y)) p+        --+        -- gridD = a ^. axisGridLines ^. el e -- :: GridLines N++    -- the ticks++    ticks = foldMap drawTicks ys++    drawTicks (pos,y) = maTicks <> miTicks+      where+        maTicks+          | a ^. majorTicks . hidden = mempty+          | otherwise = foldMap (positionTick majorTick) majorTickXs'+                       # stroke+                       # applyStyle (a ^. majorTicksStyle)+        --+        miTicks+          | a ^. minorTicks . hidden = mempty+          | otherwise = foldMap (positionTick minorTick) minorTickXs'+                       # stroke+                       # applyStyle (a ^. minorTicksStyle)+        --+        minorTick = someTick (a ^. minorTicksAlignment) (a ^. minorTicksLength)+        majorTick = someTick (a ^. majorTicksAlignment) (a ^. majorTicksLength)+        --+        someTick tType d = pathFromVertices $+          case tType  of+            AutoTick ->+              case pos of+                LowerAxis  -> [origin & ep eO -~ d, origin]+                MiddleAxis -> [origin & ep eO -~ d, origin & ep eO +~ d]+                UpperAxis  -> [origin, origin & ep eO +~ d]+            TickSpec (fromRational -> aa) (fromRational -> bb) ->+              case pos of+                UpperAxis -> [origin & ep eO -~ d*bb, origin & ep eO +~ d*aa]+                _         -> [origin & ep eO -~ d*aa, origin & ep eO +~ d*bb]+            -- NoTick -> []+        -- middleTick d =+        --   pathFromVertices+        positionTick tick x = place tick p'+          where+            p' = over lensP ((el e .~ x) . (el eO .~ y)) p+                   # transform t++    -- axis lines++    line+      | a ^. axisLine . hidden = mempty+      | otherwise = foldMap mkline (map snd ys) -- merge with ticks?+             # transform t+             # stroke+             -- # applyStyle (a ^. axisLine e . axisArrowOpts . _Just . shaftStyle)+             # lineCap LineCapSquare+      where+        -- TODO: Arrow for R3+        mkline y = pathFromVertices+         $ map (\x -> over lensP ((el e .~ x) . (el eO .~ y)) p) [x0, x1] :: Path v n++    -- measurements+    b@(x0,x1)  = bs ^. el e :: (n, n) -- bounds+    coscale = ep e %~ coscaleNum+    coscaleNum = scaleNum (bs ^. el e) (ls ^. el e)+    yb@(y0,y1) = bs ^. el eO . if lp == UpperLabels+                                 then swapped+                                 else id+    inRange x = x >= x0 && x <= x1+    --+    majorTickXs  = sort $ view majorTicksFunction a b+    majorTickXs' = map coscaleNum (filter inRange majorTickXs)+    minorTickXs  = sort $ view minorTicksFunction a majorTickXs b+    minorTickXs' = map coscaleNum (filter inRange minorTickXs)+    --+    ys       = getAxisLinePos yb lineType+    lineType = a ^. axisLineType+    txtAlign =+      case lp of+         LowerLabels -> BoxAlignedText 0.5 1+         LeftLabels  -> BoxAlignedText 1   0.5+         RightLabels -> BoxAlignedText 0   0.5+         UpperLabels -> BoxAlignedText 1   0+         _           -> error "No labels" -- XXX Temporary+    -- t2 = scaling 4+    --+    negate' = if lp == UpperLabels || lp == RightLabels+                then id+                else negate++-- utilities++getAxisLinePos :: (Num n, Ord n) => (n, n) -> AxisLineType -> [(AxisPos, n)]+getAxisLinePos (a,b) aType = case aType of+  BoxAxisLine    -> [(LowerAxis, a), (UpperAxis, b)]+  LeftAxisLine   -> [(LowerAxis, a)]+  MiddleAxisLine -> [(,) MiddleAxis $+                     if | a > 0     -> a+                        | b < 0     -> b+                        | otherwise -> 0]+  RightAxisLine  -> [(UpperAxis, b)]+  NoAxisLine     -> []++data AxisPos = LowerAxis | MiddleAxis | UpperAxis++------------------------------------------------------------------------+-- Utilities+------------------------------------------------------------------------++ep :: E v -> Lens' (Point v x) x+ep (E l) = lensP . l+{-# INLINE ep #-}++------------------------------------------------------------------------+-- Polar+------------------------------------------------------------------------++instance (TypeableFloat n, Renderable (Path V2 n) b)+    => RenderAxis b Polar n where+  renderAxis = renderPolarAxis++-- | An lower and upper bound for the bounding radius using @n@ envelope+--   calculations. The more calculations used, the smaller the range of+--   the bound.+boundingRadiusR :: (InSpace V2 n a, Enveloped a) => Int -> a -> (n, n)+boundingRadiusR (max 3 -> n) e =+  case appEnvelope (getEnvelope e) of+    Nothing -> (0,0)+    Just f  ->+      let thetas = map (@@rad) $ enumFromToN 0 tau n+          vs     = map angleV thetas++          -- The lower bound is the maximum distance obtained from the+          -- envelope trials. We know the radius will be at least this far.+          lowerBound = foldr (\v r -> max (f v) r) 0 vs++          -- In the worst case, there will be a point at the intersection of+          -- two neighbouring bounding planes from the envelope calculations.+          -- We can calculate the distance to this intersecion using simple+          -- trigonometry.+          -- (Note, this is why we need at least three envelope calculations,+          -- otherwise there wouldn't be any intersection between the bounding+          -- planes)+          upperBound = lowerBound / cos (pi / fromIntegral n)++      in  (lowerBound, upperBound)++renderPolarAxis+  :: (TypeableFloat n, Renderable (Path V2 n) b)+  => Axis b Polar n -> QDiagram b V2 n Any+renderPolarAxis a = frame 15+               $ leg+              -- <> colourBar+              -- <> circles+              <> plots+              <> theAxis+  where+    r = snd $ boundingRadiusR 30 styledPlots+    spec  = AxisSpec xs t (pure LinearAxis) (a ^. axisColourMap)+    plots = foldMap (renderStyledPlot spec) styledPlots++    dataBB = fromCorners (mkP2 (-r) (-r)) (mkP2 r r)+    (xs, tv, t') = calculateScaling (view _Wrapped $ a^.axes.column axisScaling) dataBB+    t = tv <> t'+    --+    theAxis = drawPolarAxis spec (a ^. axes)+    --+    bb = fromCorners (P . apply t $ fmap fst xs) (P . apply t $ fmap snd xs)+    leg = drawLegend bb (styledPlotLegends styledPlots) (a ^. legend)+    --+    styledPlots = map (appEndo $ a ^. plotModifier)+                $ zipWith styleDynamic (a ^.. axisStyles) (a ^. axisPlots)++drawPolarAxis+  :: forall b n. (Renderable (Path V2 n) b, TypeableFloat n)+  => AxisSpec V2 n -> Polar (SingleAxis b V2 n) -> QDiagram b V2 n Any+drawPolarAxis spec (Polar (V2 rA thetaA)) = fcA transparent $ rAx <> thetaAx where++  -- use a radius of the upper x bound for the axis (this is not ideal)+  r = spec ^. specBounds . _x . _2+  t = spec ^. specTrans+  s = avgScale t++  rInRange x = x >= 0 && x <= r*1.000001+  thetaInRange x = x >= 0 && x < tau++  ----------------------------------------------------------------------+  -- Radial axis+  ----------------------------------------------------------------------++  -- The radial axis consists of an axis line from the centre to the+  -- edge. The ticks and tickLabels are along this line. The grid lines+  -- are made up of circles that pass through the line, centered at the+  -- center of the plot.+  rAx+    | rA ^. hidden = mempty+    | otherwise = rAxLine <> rAxLabel <> rAxTicks <> rAxTickLabels <> rAxGridLines++  rAxLine = line # whenever (rA ^. axisLine . hidden) phantom+    where+      -- XXX for now the radial axis is on the theta=0 line. Need some+      -- way to change this+      line = (origin ~~ mkP2 r 0) # applyStyle (rA^.axisLineStyle)+                                  # transform t++  -- Radial axis label -------------------------------------------------++  rAxLabel+    | null rTxt || rA ^. axisLabel . hidden = mempty+    | otherwise = view axisLabelTextFunction rA rLabelAlign rTxt+                    # translate rLabelPos+                    # applyStyle (rA ^. axisLabelStyle)+                    # fc black++  rLabelPos = V2 (s*x) (- view axisLabelGap rA) where+    x = case rA ^. axisLabelPosition of+          MiddleAxisLabel -> r/2+          LowerAxisLabel  -> 0+          UpperAxisLabel  -> r+  rTxt = rA ^. axisLabelText+  rLabelAlign = BaselineText++  -- Radial ticks ------------------------------------------------------++  -- The positions of major and minor ticks along the radial axis+  majorTickRs  = view majorTicksFunction rA (0,r)+  majorTickRs' = map (*s) $ filter rInRange majorTickRs+  minorTickRs  = view minorTicksFunction rA majorTickRs (0,r)+  minorTickRs' = map (*s) $ filter rInRange minorTickRs++  -- Major and minor ticks are placed along the line at the calculated+  -- positions majorTickRs+  rAxTicks      = rAxMajorTicks <> rAxMinorTicks+  rAxMajorTicks+    | rA ^. majorTicks . hidden = mempty+    | otherwise = foldMap (\x -> rAxMajorTick # translateX x) majorTickRs'+                       # applyStyle (rA ^. majorTicksStyle)+  rAxMinorTicks+    | rA ^. minorTicks . hidden = mempty+    | otherwise = foldMap (\x -> rAxMinorTick # translateX x) minorTickRs'+                       # applyStyle (rA ^. minorTicksStyle)++  -- The paths used for individual major and minor ticks+  rAxMajorTick = someTick (rA ^. majorTicksAlignment) (rA ^. majorTicksLength)+  rAxMinorTick = someTick (rA ^. minorTicksAlignment) (rA ^. minorTicksLength)++  someTick tType d = case tType of+    TickSpec (fromRational -> aa) (fromRational -> bb)+             -> mkP2 0 (-d*bb) ~~ mkP2 0 (d*aa)+    AutoTick -> mkP2 0 (-d)    ~~ mkP2 0 d++  -- Radial grid lines -------------------------------------------------++  rAxGridLines+    -- - | rA ^. gridLines . hidden = mempty+    | otherwise                = rMajorGridLines <> rMinorGridLines++  majorGridRs  = view majorGridLinesFunction rA majorTickRs (0,r)+  majorGridRs' = map (*s) $ filter rInRange majorGridRs++  rMajorGridLines :: QDiagram b V2 n Any+  rMajorGridLines+    | rA ^. majorGridLines . hidden = mempty+    | otherwise = foldMap circle (filter (>0) majorGridRs')+                    # applyStyle (rA ^. majorGridLinesStyle)++  minorGridRs  = view minorGridLinesFunction rA minorTickRs (0,r)+  minorGridRs' = map (*s) $ filter rInRange minorGridRs+  rMinorGridLines :: QDiagram b V2 n Any+  rMinorGridLines+    | rA ^. minorGridLines . hidden = mempty+    | otherwise = foldMap circle (filter (>0) minorGridRs')+                    # applyStyle (rA ^. minorGridLinesStyle)++  -- Radial tick labels ------------------------------------------------++  rAxTickLabels :: QDiagram b V2 n Any+  rAxTickLabels+    | rA ^. tickLabel . hidden = mempty+    | otherwise                = foldMap rDrawTickLabel tickLabelRs++  -- The positions of the tick labels.+  tickLabelRs :: [(n, String)]+  tickLabelRs = view tickLabelFunction rA (filter rInRange majorTickRs) (0,r)++  -- Draw a single tick label given the position and the string to use+  rDrawTickLabel :: (n,String) -> QDiagram b V2 n Any+  rDrawTickLabel (x,label) =+    view tickLabelTextFunction rA (BoxAlignedText 0.5 1) label+      # translate (V2 (s*x) (- view axisLabelGap rA))+      # applyStyle (rA ^. tickLabelStyle)+      # fc black++  ----------------------------------------------------------------------+  -- Angular axis+  ----------------------------------------------------------------------++  -- The angular axis is a circular line around the perimieter of the+  -- polar plot. The Ticks and tick labels are placed around this+  -- perimeter. The Grid lines go from the perimeter to the center.+  thetaAx+    | thetaA ^. hidden = mempty+    | otherwise = thetaAxLine <> thetaAxLabel+         <> thetaAxTicks <> thetaAxTickLabels <> thetaAxGridLines++  theta = 2*pi+  thetaAxLine = line # whenever (thetaA ^. axisLine . hidden) phantom+    where+      -- XXX for now the radial axis is on the theta=0 line. Need some+      -- way to change this+      line = circle (s*r) # applyStyle (thetaA^.axisLineStyle)++  -- Angular axis label ------------------------------------------------++  -- Where should the label go?+  thetaAxLabel+    | null thetaTxt || thetaA ^. axisLabel . hidden = mempty+    | otherwise = view axisLabelTextFunction thetaA thetaLabelAlign thetaTxt+                    # translate thetaLabelPos+                    # applyStyle (thetaA ^. axisLabelStyle)+                    # fc black++  -- thetaLabelPos = V2 (s*x) (- view axisLabelGap thetaA) where+  thetaLabelPos = view xy_ (mkPolar (s*r + view axisLabelGap thetaA) x) where+    -- The angle on the axis the label is placed, doesn't make much+    -- sense right now.+    x = case thetaA ^. axisLabelPosition of+          MiddleAxisLabel -> quarterTurn+          LowerAxisLabel  -> zero+          UpperAxisLabel  -> halfTurn+  thetaTxt = thetaA ^. axisLabelText+  thetaLabelAlign = BaselineText++  -- Angular axis ticks ------------------------------------------------++  -- The positions of major and minor ticks along the angular axis+  majorTickThetas  = view majorTicksFunction thetaA (0,theta)+  majorTickThetas' = filter thetaInRange majorTickThetas+  minorTickThetas  = view minorTicksFunction thetaA majorTickThetas (0,theta)+  minorTickThetas' = filter thetaInRange minorTickThetas++  -- Major and minor ticks are placed along perimeter, facing the center+  -- of the axis. Ticks start of horizonal and are rotated to the+  -- correct position on the axis.+  thetaAxTicks      = thetaAxMajorTicks <> thetaAxMinorTicks+  thetaAxMajorTicks+    | thetaA ^. majorTicks . hidden = mempty+    | otherwise = foldMap (\phi -> thetaAxMajorTick # translateX (s*r) # rotate (phi@@rad)) majorTickThetas'+                       # applyStyle (thetaA ^. majorTicksStyle)+  thetaAxMinorTicks+    | thetaA ^. minorTicks . hidden = mempty+    | otherwise = foldMap (\phi -> thetaAxMinorTick # translateX (s*r) # rotate (phi@@rad)) minorTickThetas'+                       # applyStyle (thetaA ^. minorTicksStyle)++  -- The paths used for individual major and minor ticks+  thetaAxMajorTick = someThetaTick (thetaA ^. majorTicksAlignment) (thetaA ^. majorTicksLength)+  thetaAxMinorTick = someThetaTick (thetaA ^. minorTicksAlignment) (thetaA ^. minorTicksLength)++  someThetaTick tType d = case tType of+    TickSpec (fromRational -> aa) (fromRational -> bb)+             -> mkP2 (-d*bb) 0 ~~ mkP2 (d*aa) 0+    AutoTick -> mkP2 (-d) 0    ~~ mkP2 d 0++  -- Angular grid lines ------------------------------------------------++  -- grid lines go from the centre of the axis to the perimeter+  thetaAxGridLines+    -- - | thetaA ^. girdLines . hidden = mempty+    | otherwise                = thetaMajorGridLines <> thetaMinorGridLines++  majorGridThetas = view majorGridLinesFunction thetaA majorTickThetas (0,theta)+  majorGridThetas' = filter thetaInRange majorGridThetas++  thetaMajorGridLines :: QDiagram b V2 n Any+  thetaMajorGridLines+    | thetaA ^. majorGridLines . hidden = mempty+    | otherwise = foldMap (\phi -> origin ~~ mkP2 r 0 # rotate (phi@@rad)) majorGridThetas'+                    # transform t+                    # applyStyle (thetaA ^. majorGridLinesStyle)++  minorGridThetas    = view minorGridLinesFunction thetaA minorTickThetas (0,theta)+  minorGridThetas'   = filter thetaInRange minorGridThetas+  thetaMinorGridLines :: QDiagram b V2 n Any+  thetaMinorGridLines+    | thetaA ^. minorGridLines . hidden = mempty+    | otherwise = foldMap (\phi -> origin ~~ mkP2 r 0 # rotate (phi@@rad)) minorGridThetas'+                    # transform t+                    # applyStyle (thetaA ^. minorGridLinesStyle)++  -- Angular tick labels -----------------------------------------------++  thetaAxTickLabels :: QDiagram b V2 n Any+  thetaAxTickLabels+    | thetaA ^. tickLabel . hidden = mempty+    | otherwise                    = foldMap thetaDrawTickLabel tickLabelThetas++  -- The positions of the tick labels.+  tickLabelThetas :: [(n, String)]+  tickLabelThetas = view tickLabelFunction thetaA majorTickThetas' (0,theta)++  -- Draw a single tick label given the position and the string to use+  thetaDrawTickLabel :: (n, String) -> QDiagram b V2 n Any+  thetaDrawTickLabel (x,label) =+    view tickLabelTextFunction thetaA a label+      # translate v+      # applyStyle (thetaA ^. tickLabelStyle)+      # fc black+        where v = mkPolar (s*r + view axisLabelGap thetaA) (x@@rad) ^. xy_+              -- a = BoxAlignedText (0.5-cos x/2) (0.5-sin x/2)+              a = BoxAlignedText 0.5 0.5++    -- line+    --   | a ^. axisLine . hidden = mempty+    --   | otherwise = foldMap mkline (map snd ys) -- merge with ticks?+    --          # transform t+    --          # stroke+    --          -- # applyStyle (a ^. axisLine e . axisArrowOpts . _Just . shaftStyle)+    --          # lineCap LineCapSquare+    --   where+    --     -- TODO: Arrow for R3+    --     mkline y = pathFromVertices+    --      $ map (\x -> over lensP ((el e .~ x) . (el eO .~ y)) p) [x0, x1] :: Path v n

@@ -0,0 +1,290 @@+{-# LANGUAGE DeriveFunctor         #-}+{-# LANGUAGE FlexibleInstances     #-}+{-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE RecordWildCards       #-}+{-# LANGUAGE TypeFamilies          #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Scale+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Determine how to scale an axis.+--+----------------------------------------------------------------------------++module Plots.Axis.Scale+  ( -- * Axis scale+    AxisScaling+  , ScaleMode (..)+  , UniformScaleStrategy (..)+  , Extending (..)+  , noExtend+  , HasAxisScaling (..)++   -- ** Log scales+  , LogScale (..)+  , logNumber+  , logPoint+  , logDeform++    -- * Low level calculations+    -- | These functions are used by "Plots.Axis.Render".+  , calculateBounds+  , calculateScaling++  ) where++import           Control.Applicative+import           Control.Lens+import           Data.Bool+import           Data.Default+import           Data.Distributive+import           Data.Maybe++import           Diagrams+import           Linear++------------------------------------------------------------------------+-- Axis scale+------------------------------------------------------------------------++-- | How the axis should be scaled when not all dimensions are set.+data ScaleMode+  = AutoScale+  | NoScale+  | Stretch+  | UniformScale UniformScaleStrategy+  deriving (Show, Read)++-- | ?+data UniformScaleStrategy+  = AutoUniformScale+  | UnitOnly+  | ChangeVerticalLimits+  | ChangeHorizontalLimits+  deriving (Show, Read)++-- | Data type used that concerns everything to do with the size or+--   scale of the axis.+data AxisScaling n = Scaling+  { asRatio          :: Maybe n+  , asMode           :: ScaleMode+  , asEnlarge        :: Extending n+  , asBoundMin       :: Maybe n+  , asBoundMax       :: Maybe n+  , asSize           :: Maybe n+  , asLogScale       :: LogScale++  -- backup bound in case there's no inferred bounds to go by+  , asBackupBoundMax :: n+  , asBackupBoundMin :: n+  }++type instance N (AxisScaling n) = n++instance Fractional n => Default (AxisScaling n) where+  def = Scaling+    { asRatio          = Nothing+    , asMode           = AutoScale+    , asEnlarge        = RelativeExtend 0.1+    , asBoundMin       = Nothing+    , asBoundMax       = Nothing+    , asLogScale       = def+    , asSize           = Just 400+    , asBackupBoundMax = 5+    , asBackupBoundMin = -5+    }++-- | How much to extend the bounds beyond any inferred bounds.+data Extending n+  = AbsoluteExtend n+  | RelativeExtend n+  deriving (Show, Ord, Eq, Functor)++-- | Do not extend the axis beyond the inferred bounds.+noExtend :: Num n => Extending n+noExtend = AbsoluteExtend 0++-- | Class of things that have an 'AxisScaling'.+class HasAxisScaling f a where+  -- | The way to scale in one direction.+  axisScaling :: LensLike' f a (AxisScaling (N a))++  -- | The ratio relative to other axis. If no ratios are set, the ratio+  --   is not enforced. If at least one is set, 'Nothing' ratios are+  --   @1@.+  scaleAspectRatio :: Functor f => LensLike' f a (Maybe (N a))+  scaleAspectRatio = axisScaling . lens asRatio (\as r -> as {asRatio = r})++  -- | The mode to determine how to scale the bounds in a direction.+  --   Choose between 'AutoScale', 'NoScale', 'Stretch' or+  --   'UniformScale'.+  --+  --   'Default' is 'AutoScale'.+  scaleMode :: Functor f => LensLike' f a ScaleMode+  scaleMode = axisScaling . lens asMode (\as r -> as {asMode = r})++  -- | Whether the axis uses 'LogAxis' or 'LinearAxis'.+  --+  --   'Default' is 'LinearAxis'.+  logScale :: Functor f => LensLike' f a LogScale+  logScale = axisScaling . lens asLogScale (\as r -> as {asLogScale = r})++  -- | How much to extend the bounds over infered bounds. This is+  --   ignored if a 'boundMax' or 'boundMin' is set.+  axisExtend :: Functor f => LensLike' f a (Extending (N a))+  axisExtend = axisScaling . lens asEnlarge (\as r -> as {asEnlarge = r})++  -- | The maximum bound the axis. There are helper functions for+  --   setting a minimum bound for a specific axis.+  --+  -- @+  -- 'Plots.Axis.xMin' :: 'Lens'' ('Axis' b 'V2' 'Double') ('Maybe' 'Double')+  -- 'Plots.Axis.yMin' :: 'Lens'' ('Axis' b 'V2' 'Double') ('Maybe' 'Double')+  -- @+  --+  --   Default is 'Nothing'.+  boundMin :: Functor f => LensLike' f a (Maybe (N a))+  boundMin = axisScaling . lens asBoundMin (\as b -> as {asBoundMin = b})++  -- | The maximum bound the axis. There are helper functions for+  --   setting a maximum bound specific axis.+  --+  -- @+  -- 'Plots.Axis.xMax' :: 'Lens'' ('Axis' b 'V2' 'Double') ('Maybe' 'Double')+  -- 'Plots.Axis.yMax' :: 'Lens'' ('Axis' b 'V2' 'Double') ('Maybe' 'Double')+  -- 'Plots.Axis.rMax' :: 'Lens'' ('Axis' b 'Polar 'Double') ('Maybe' 'Double')+  -- @+  --+  --   Default is 'Nothing'.+  boundMax :: Functor f => LensLike' f a (Maybe (N a))+  boundMax = axisScaling . lens asBoundMax (\as b -> as {asBoundMax = b})++  -- | The size of the rendered axis. Default is @'Just' 400@.+  renderSize :: Functor f => LensLike' f a (Maybe (N a))+  renderSize = axisScaling . lens asSize (\as s -> as {asSize = s})++  -- -- backup bound in case there's no inferred bounds to go by+  -- asBackupBoundMax :: n+  -- asBackupBoundMax :: n++asSizeSpec :: (HasLinearMap v, Num n, Ord n) => Lens' (v (AxisScaling n)) (SizeSpec v n)+asSizeSpec = column renderSize . iso mkSizeSpec getSpec++instance HasAxisScaling f (AxisScaling n) where+  axisScaling = id++-- calculating bounds --------------------------------------------------++-- | Calculating the bounds for an axis.+calculateBounds+  :: OrderedField n+  => AxisScaling n -- ^ Scaling to use for this axis+  -> Maybe (n, n)  -- ^ Inferred bounds (from any plots)+  -> (n, n)        -- ^ Lower and upper bounds to use for this axis+calculateBounds Scaling {..} mInferred = (l', u') where+  -- bounds are only enlarged when min/max bound wasn't set+  l' = l & whenever (isNothing asBoundMin) (subtract x)+         & whenever (asLogScale == LogAxis) (max 1e-6)+  u' = u & whenever (isNothing asBoundMax) (+ x)++  -- amount to enlarge axis by+  x = case asEnlarge of+    AbsoluteExtend a -> a+    RelativeExtend a -> (u - l) * a++  -- pre-enlarged bounds are looked at in the following order:+  --   - concrete bounds from max/boundMin+  --   - inferred bounds from plot envelopes+  --   - backup bounds+  l = fromMaybe asBackupBoundMin $ asBoundMin <|> lI+  u = fromMaybe asBackupBoundMax $ asBoundMax <|> uI+  lI = preview (folded . _1) mInferred+  uI = preview (folded . _2) mInferred++-- | Calculate the scaling for the axis.+--+--   The result returns:+--+--     - The final bounds for the axis+--     - scale to match desired 'scaleAspectRatio'+--     - scale to match desired 'asSizeSpec'+calculateScaling+  :: (HasLinearMap v, OrderedField n, Applicative v)+  => v (AxisScaling n) -- ^ axis scaling options+  -> BoundingBox v n   -- ^ bounding box from the axis plots+  -> (v (n,n), Transformation v n, Transformation v n)+calculateScaling aScaling bb = (bounds, aspectScaling, sizeScaling) where++  -- final bounds of the axis+  bounds   = calculateBounds <$> aScaling <*> distribute inferred+  inferred = view _Point . uncurry (liftA2 (,)) <$> getCorners bb++  -- the scaling used to meet the desired aspect ratio+  aspectScaling+    -- If any of the aspect ratios are committed we use the aspect ratio from+    -- aScaling. Otherwise no ratios are set, ignore them and scale+    -- such that each axis is the same length+    | anyOf (folded . scaleAspectRatio) isJust aScaling+                = vectorScaling $ view (scaleAspectRatio . non 1) <$> aScaling+    | otherwise = inv $ vectorScaling v++  -- scaling used so the axis fits in the size spec+  sizeScaling = requiredScaling szSpec v'+  -- the vector that points from the lower bound to the upper bound of the+  -- axis+  v  = uncurry (flip (-)) <$> bounds+  v' = apply aspectScaling v+  szSpec = view asSizeSpec aScaling++-- | Scale transformation using the respective scale coefficients in the vector.+vectorScaling :: (Additive v, Fractional n) => v n -> Transformation v n+vectorScaling v = fromLinear f f+  where f = liftI2 (*) v <-> liftI2 (flip (/)) v++-- | Apply a function if the predicate is true.+whenever :: Bool -> (a -> a) -> a -> a+whenever b f = bool id f b++-- Logarithmic scaling -------------------------------------------------++-- Logarithmic scales are achieved by having 'LinearAxis' or 'LogAxis'+-- for each of the axes. When rendering the plots, they have axes the+-- log scheme. Some plots (like scatter) can easily do this whereas+-- others (like diagram plot) it's nearly impossible for, so they don't+-- bother.+--+-- Support for Log axis still needs a lot of work and debugging.++-- | Should the axis be on a logarithmic scale. The 'Default' is+--   'LinearAxis'.+data LogScale = LinearAxis | LogAxis+  deriving (Show, Eq)++instance Default LogScale where+  def = LinearAxis++-- | Log the number for 'LogAxis', do nothing for 'LinearAxis'.+logNumber :: Floating a => LogScale -> a -> a+logNumber LinearAxis = id+logNumber LogAxis    = log+{-# INLINE logNumber #-}++-- | Transform a point according to the axis scale. Does nothing for+--   linear scales.+logPoint :: (Additive v, Floating n) => v LogScale -> Point v n -> Point v n+logPoint v = _Point %~ liftI2 logNumber v+{-# INLINE logPoint #-}++-- | Deform an object according to the axis scale. Does nothing for+--   linear scales.+logDeform :: (InSpace v n a, Foldable v, Floating n, Deformable a a)+          => v LogScale -> a -> a+logDeform v+  | allOf folded (== LinearAxis) v = id+  | otherwise                      = deform (Deformation $ logPoint v)+

@@ -0,0 +1,375 @@+{-# LANGUAGE DeriveDataTypeable    #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE FlexibleInstances     #-}+{-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE RankNTypes            #-}+{-# LANGUAGE TemplateHaskell       #-}+{-# LANGUAGE TypeFamilies          #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Ticks+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- Ticks for being placed on an axis or a 'ColourBar'.+--+----------------------------------------------------------------------------+module Plots.Axis.Ticks+  ( -- * Major ticks+    MajorTicks+  , HasMajorTicks (..)+  , majorTicksHelper+  , logMajorTicks++    -- * Minor ticks+  , MinorTicks+  , HasMinorTicks (..)+  , minorTicksHelper++    -- * Both major and minor ticks+  , Ticks+  , HasTicks (..)+  , ticksAlign+  , ticksStyle+  , ticksVisible++    -- * Tick alignment+  , TicksAlignment (..)+  , autoTicks+  , centreTicks+  , centerTicks+  , insideTicks+  , outsideTicks++    -- * Helper functions+  , hideTicks+  , majorTickPositions+  , minorTickPositions+  , linearMajorTicks+  ) where++import           Control.Lens     hiding (transform, ( # ))+import           Data.Data+import           Data.Default+import           Data.Foldable    as F+import           Data.Ord+import           Plots.Types+import           Plots.Util++import           Diagrams.Prelude++------------------------------------------------------------------------+-- Types+------------------------------------------------------------------------++-- Tick alignment ------------------------------------------------------++-- | Set the portion of the tick above and below the axis.+data TicksAlignment+  = TickSpec !Rational !Rational+  | AutoTick -- center tick for middle axis, outside tick otherwise+  deriving (Show, Eq)++-- | Set the tick type depending on the axis line position. 'centreTick'+--   for 'middleAxis', 'insideTick' for everything else.+autoTicks :: TicksAlignment+autoTicks = AutoTick++-- | Set the tick to be in the centre of the axis with total length of+--   the corresponding tick length.+centreTicks :: TicksAlignment+centreTicks  = TickSpec 0.5 0.5++-- | Synonym for 'centreTicks'.+centerTicks :: TicksAlignment+centerTicks  = centreTicks++-- | Align the ticks to be inside a box axis.+insideTicks :: TicksAlignment+insideTicks  = TickSpec 0 1++-- | Align the ticks to be outside a box axis.+outsideTicks :: TicksAlignment+outsideTicks = TickSpec 1 0++-- -- | Do not show any ticks.+-- noTicks :: TicksAlignment+-- noTicks = NoTick++------------------------------------------------------------------------+-- Minor ticks+------------------------------------------------------------------------++-- | The big ticks on the axis line.+data MajorTicks v n = MajorTicks+  { matFunction :: (n,n) -> [n]+  , matAlign    :: TicksAlignment+  , matLength   :: n+  , matStyle    :: Style v n+  , matVisible  :: Bool+  }++instance TypeableFloat n => Default (MajorTicks v n) where+  def = MajorTicks+    { matFunction = linearMajorTicks 5+    , matAlign    = autoTicks+    , matLength   = 5+    , matStyle    = mempty # lwO 0.4+    , matVisible  = True+    }++type instance V (MajorTicks v n) = v+type instance N (MajorTicks v n) = n++-- | Class of things that have a 'MajorTicks'.+class HasMajorTicks f a where+  -- | Lens onto the 'MajorTicks' of something.+  majorTicks :: LensLike' f a (MajorTicks (V a) (N a))++  -- | The function used to place ticks for this axis, given the bounds+  --   of the axis. The result of these major ticks are also used as+  --   guides for 'MinorTicks', 'MajorGridLines' and 'MinorGridLines'.+  --+  --   Default is @'linearMinorTicks' 5@.+  majorTicksFunction :: Functor f => LensLike' f a ((N a, N a) -> [N a])+  majorTicksFunction = majorTicks . lens matFunction (\mat a -> mat {matFunction = a})++  -- | Alignment of the major ticks. Choose between 'autoTicks'+  --   (default), 'centreTicks', 'insideTicks' or 'outsideTicks'.+  majorTicksAlignment :: Functor f => LensLike' f a TicksAlignment+  majorTicksAlignment = majorTicks . lens matAlign (\mat a -> mat {matAlign = a})++  -- | The total length the major ticks.+  --+  --   Default is @7@.+  majorTicksLength :: Functor f => LensLike' f a (N a)+  majorTicksLength = majorTicks . lens matLength (\mat a -> mat {matLength = a})++  -- | The style used to render the major ticks.+  --+  --   Default is @'lwO' 0.6 'mempty'@ (subject to change).+  majorTicksStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  majorTicksStyle = majorTicks . lens matStyle (\mat sty -> mat {matStyle = sty})++instance HasMajorTicks f (MajorTicks v n) where+  majorTicks = id++instance HasVisibility (MajorTicks v n) where+  visible = lens matVisible (\mat b -> mat {matVisible = b})++------------------------------------------------------------------------+-- Minor ticks+------------------------------------------------------------------------++-- | The small ticks on the axis line.+data MinorTicks v n = MinorTicks+  { mitFunction :: [n] -> (n,n) -> [n]+  , mitAlign    :: TicksAlignment+  , mitLength   :: n+  , mitStyle    :: Style v n+  , mitVisible  :: Bool+  }++type instance V (MinorTicks v n) = v+type instance N (MinorTicks v n) = n++instance TypeableFloat n => Default (MinorTicks v n) where+  def = MinorTicks+    { mitFunction = minorTicksHelper 4+    , mitAlign    = autoTicks+    , mitLength   = 3+    , mitStyle    = mempty # lwO 0.4+    , mitVisible  = True+    }++-- | Class of things that have a single 'MinorTicks'.+class HasMinorTicks f a where+  -- | Lens onto the 'MinorTicks' of something.+  minorTicks :: LensLike' f a (MinorTicks (V a) (N a))++  -- | The function used to place ticks for this axis, given the result+  --   of 'majorTicksFunction' and the bounds of the axis.+  --+  --   Default is @'linearMinorTicks' 3@.+  minorTicksFunction :: Functor f => LensLike' f a ([N a] -> (N a, N a) -> [N a])+  minorTicksFunction = minorTicks . lens mitFunction (\mit a -> mit {mitFunction = a})++  -- | Alignment of the minor ticks. Choose between 'autoTicks'+  --   (default), 'centreTicks', 'insideTicks' or 'outsideTicks'.+  minorTicksAlignment :: Functor f => LensLike' f a TicksAlignment+  minorTicksAlignment = minorTicks . lens mitAlign (\mit a -> mit {mitAlign = a})++  -- | The total length the minor ticks.+  --+  --   Default is @3@.+  minorTicksLength :: Functor f => LensLike' f a (N a)+  minorTicksLength = minorTicks . lens mitLength (\mit a -> mit {mitLength = a})++  -- | The style used to render the minor ticks.+  --+  --   Default is @'lwO' 0.4 'mempty'@ (subject to change).+  minorTicksStyle :: Functor f => LensLike' f a (Style (V a) (N a))+  minorTicksStyle = minorTicks . lens mitStyle (\mit sty -> mit {mitStyle = sty})++instance HasMinorTicks f (MinorTicks v n) where+  minorTicks = id++instance HasVisibility (MinorTicks v n) where+  visible = lens mitVisible (\mit sty -> mit {mitVisible = sty})++------------------------------------------------------------------------+-- Both ticks+------------------------------------------------------------------------++-- | Both 'MajorTicks' and 'MinorTicks' together.+data Ticks v n = Ticks (MajorTicks v n) (MinorTicks v n)+-- Ticks are originally split up into major and minor so we can reuse+-- major for the colour bar. I'm still undecided whether it's worth all+-- the extra boilerplate here.++type instance V (Ticks v n) = v+type instance N (Ticks v n) = n++-- | Class of things with both 'MajorTicks' and 'MinorTicks'.+class (HasMinorTicks f a, HasMajorTicks f a) => HasTicks f a where+  bothTicks :: LensLike' f a (Ticks (V a) (N a))++instance Functor f => HasTicks f (Ticks v n) where+  bothTicks = id++instance Functor f => HasMajorTicks f (Ticks v n) where+  majorTicks f (Ticks ma mi) = f ma <&> \ma' -> Ticks ma' mi++instance Functor f => HasMinorTicks f (Ticks v n) where+  minorTicks f (Ticks ma mi) = f mi <&> \mi' -> Ticks ma mi'++instance TypeableFloat n => Default (Ticks v n) where+  def = Ticks def def++instance Typeable n => HasStyle (Ticks v n) where+  applyStyle s = over ticksStyle (applyStyle s)++-- | Traversal over both major and minor tick alignment.+ticksAlign :: (HasTicks f a, Applicative f) => LensLike' f a TicksAlignment+ticksAlign = bothTicks . aligns+  where+    aligns f a = (\m mn -> a & majorTicksAlignment .~ m & minorTicksAlignment .~ mn)+                  <$> f (a ^. majorTicksAlignment) <*> f (a ^. minorTicksAlignment)++-- | Traversal over both major and minor tick styles.+ticksStyle :: (HasTicks f a, Applicative f) => LensLike' f a (Style (V a) (N a))+ticksStyle = bothTicks . styles+  where+    styles f a = (\m mn -> a & majorTicksStyle .~ m & minorTicksStyle .~ mn)+              <$> f (a ^. majorTicksStyle) <*> f (a ^. minorTicksStyle)++-- | Traversal over the visibility of both major and minor ticks.+ticksVisible :: (HasTicks f a, Applicative f) => LensLike' f a Bool+ticksVisible = bothTicks . visibles+  where+    visibles f a = (\m mn -> a & majorTicks . visible .~ m & minorTicks. visible .~ mn)+              <$> f (a ^. majorTicks . visible) <*> f (a ^. minorTicks . visible)++-- | Hides the 'Minor' ticks when trying to render something. This can+--   be used on multiple types:+--+-- @+-- 'hideTicks' :: 'Axis' b c n       -> 'Axis' b c n+-- 'hideTicks' :: 'SingleAxis' b v n -> 'SingleAxis' b v n+-- 'hideTicks' :: 'Ticks' v n        -> 'Ticks' v n+-- 'hideTicks' :: 'MinorTicks' v n   -> 'MinorTicks' v n+-- @+hideTicks :: HasTicks Identity a => a -> a+hideTicks = ticksVisible .~ False++-- | Setter over the final positions the major ticks. This is not as+--   general as 'majorTicksFunction' because you don't have access to+--   the bounds but it can be useful when you know exactly what ticks+--   you want to add or modify existing tick positions.+majorTickPositions+  :: (HasMajorTicks f a, Settable f)+  => LensLike' f a [N a]+majorTickPositions = majorTicksFunction . mapped++-- | Setter over the final positions the major ticks. This is not as+--   general as 'minorTicksFunction' because you don't have access to+--   the bounds but it can be useful when you know exactly what ticks+--   you want to add or modify existing tick positions.+minorTickPositions+  :: (HasMinorTicks f a, Settable f)+  => LensLike' f a [N a]+minorTickPositions = minorTicksFunction . mapped . mapped++------------------------------------------------------------------------+-- Calculating ticks+------------------------------------------------------------------------++-- Linear ticks --------------------------------------------------------++-- | Ticks whose value ends in 1, 0.5, 0.25, 0.2 (*10^n).+linearMajorTicks :: (RealFrac n, Floating n) => n -> (n, n) -> [n]+linearMajorTicks = majorTicksHelper [1, 0.5, 0.25, 0.2, 0.3]++-- Logarithmic ticks ---------------------------------------------------++-- | Place n ticks at powers of 10 on the axis.+logMajorTicks :: (RealFrac n, Floating n) => n -> (n, n) -> [n]+logMajorTicks n (a,b) =+  -- Logarithmic ticks are just like linear ticks but in a different domain.+  map (10**) $ majorTicksHelper ts n (log10 (max 2 a), log10 b)+    where ts = [1,2,3,4,5,6,7,8,9]++-- Ticks helpers -------------------------------------------------------++-- | Place n linear spaced ticks between each major tick.+minorTicksHelper+  :: Fractional n+  => Int    -- ^ Number of minor ticks between each major tick+  -> [n]    -- ^ Positions of major ticks+  -> (n, n) -- ^ Bounds+  -> [n]    -- ^ Minor tick positions+minorTicksHelper n ts _ = F.concat $ go ts where+  -- we won't want x1 and x2 to be minor ticks too we init/tail them.+  go (x1:x2:xs) = (init . tail) (enumFromToN x1 x2 (n+2)) : go (x2:xs)+  go _          = []++-- | Choose ticks whose step size is a multiple of 10 of the allowed+--   numbers and tries to match the number of desired ticks.+--+--   Note that the resulting tick positions may go out of the range of+--   the bounds. This is so the minor ticks can be chosen correctly if a+--   tick doesn't end exactly on a bound. When we render, we ignore all+--   ticks outside the bounds.+majorTicksHelper+  :: (RealFrac n, Floating n)+  => [n]    -- ^ Allowed numbers (up to powers of 10)+  -> n      -- ^ desired number of ticks+  -> (n, n) -- ^ bounds+  -> [n]    -- ^ tick positions+majorTicksHelper ts0 n (a,b) = iterateN n' (+h) a'+  where+  i  = fromIntegral (floor ( a / h ) :: Int)++  a' = i*h+  n' = ceiling ((b - a')/h) + 1++  -- Find the a value from our potential ticks that's closest to our+  -- ideal height.+  h  = minimumBy (comparing $ abs . (h' -)) ts'++  -- Ideal height for the desired number of ticks.+  h' = d / n++  -- Potential step heights that look nice and are in a suitable range+  -- for the axis bounds.+  ts' = map (* 10 ^^ (floor $ log10 d :: Int)) (ts0 ++ map (*10) ts0)+  d   = abs $ b - a++-- logged :: Floating a => Iso' a a+-- logged = iso log10 (10**)++log10 :: Floating a => a -> a+log10 = logBase 10

@@ -0,0 +1,112 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RankNTypes             #-}+{-# LANGUAGE TypeFamilies           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Axis.Title+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- The title used for a plot.+--+----------------------------------------------------------------------------+module Plots.Axis.Title+  ( Title+  , HasTitle (..)+  , drawTitle+  ) where++import Data.Default+import Data.Typeable++import Diagrams.Prelude+import Diagrams.TwoD.Text+import Plots.Types++data Title b v n = Title+  { tVisible   :: Bool+  , tTxt       :: String+  , tTxtFun    :: TextAlignment n -> String -> QDiagram b v n Any+  , tStyle     :: Style v n+  , tPlacement :: Placement+  , tGap       :: n+  } deriving Typeable++instance (Renderable (Text n) b, TypeableFloat n)+  => Default (Title b V2 n) where+  def = Title+    { tVisible = True+    , tTxt     = ""+    , tTxtFun  = mkText+    , tStyle   = mempty # fontSize (output 11)+    , tPlacement = midAbove+    , tGap = 20+    }++type instance V (Title b v n) = v+type instance N (Title b v n) = n++instance HasVisibility (Title b v n) where+  visible = lens tVisible (\t b -> t {tVisible = b})++instance HasGap (Title b v n) where+  gap = lens tGap (\t g -> t {tGap = g})++instance HasPlacement (Title b v n) where+  placement = titlePlacement++class HasTitle a b | a -> b where+  title :: Lens' a (Title b (V a) (N a))++  -- | The text used for the title. If the string is empty, no title is+  --   drawn.+  --+  --   Default is @""@+  titleText :: Lens' a String+  titleText = title . lens tTxt (\t s -> t {tTxt = s})++  -- | The style applied to the title.+  --+  --   Default is 'mempty'.+  titleStyle :: Lens' a (Style (V a) (N a))+  titleStyle = title . lens tStyle (\t s -> t {tStyle = s})++  -- | The placement of the title against the axis.+  --+  --   Default is 'mempty'.+  titlePlacement :: Lens' a Placement+  titlePlacement = title . lens tPlacement (\t s -> t {tPlacement = s})++  -- | The gap between the axis and the title.+  --+  --   Default is 'mempty'.+  titleGap :: Lens' a (N a)+  titleGap = title . lens tGap (\t s -> t {tGap = s})++instance HasTitle (Title b v n) b where+  title = id++-- | Render the title and place it around the bounding box.+drawTitle+  :: TypeableFloat n+  => BoundingBox V2 n+  -> Title b V2 n+  -> QDiagram b V2 n Any+drawTitle bb t+  | t ^. hidden || nullOf titleText t = mempty+  | otherwise = placeAgainst+                  bb+                  (t ^. titlePlacement)+                  (t ^. titleGap)+                  tDia+  where+    tDia = tTxtFun t (BoxAlignedText 0.5 0) (tTxt t)+             # applyStyle (tStyle t)+

@@ -0,0 +1,155 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RankNTypes             #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+{-# LANGUAGE UndecidableInstances   #-}+module Plots.Legend+ (+   -- * Legend+   Legend+ , HasLegend (..)++   -- * Drawing a legend+ , drawLegend++ ) where++import           Control.Lens         hiding (none, ( # ))+import           Data.Default+import           Data.Typeable+import           Diagrams.TwoD.Text++import           Diagrams.BoundingBox+import           Diagrams.Prelude++import           Plots.Types++-- | The data type to describe how to draw a legend. For legend entries+--   see 'Plots.Types.LegendEntry'.+data Legend b n = Legend+  { lPlacement   :: Placement+  , lGap         :: n+  , lStyle       :: Style V2 n+  , lSpacing     :: n+  , lTextWidth   :: n+  , lTextF       :: String -> QDiagram b V2 n Any+  , lTextStyle   :: Style V2 n+  , lOrientation :: Orientation+  , lVisible     :: Bool+  } deriving Typeable++type instance V (Legend b n) = V2+type instance N (Legend b n) = n++class HasLegend a b | a -> b where+  -- | Lens onto the 'Legend' of something.+  legend :: Lens' a (Legend b (N a))++  -- | The 'Placement' of the legend relative to the 'Plots.Axis.Axis'.+  legendPlacement :: Lens' a Placement+  legendPlacement = legend . lens lPlacement (\l a -> l {lPlacement = a})++  -- | The gap between the legend and the axis.+  legendGap :: Lens' a (N a)+  legendGap = legend . lens lGap (\l a -> l {lGap = a})++  -- | The style applied to the surronding box of the legend.+  legendStyle :: Lens' a (Style V2 (N a))+  legendStyle = legend . lens lStyle (\l a -> l {lStyle = a})++  -- | The spacing between entries in the legend.+  legendSpacing :: Lens' a (N a)+  legendSpacing = legend . lens lSpacing (\l a -> l {lSpacing = a})++  -- | The space given for the text in the legend.+  legendTextWidth :: Lens' a (N a)+  legendTextWidth = legend . lens lTextWidth (\l a -> l {lTextWidth = a})++  -- | The function to generate the legend text.+  legendTextFunction :: Lens' a (String -> QDiagram b V2 (N a) Any)+  legendTextFunction = legend . lens lTextF (\l a -> l {lTextF = a})++  -- | The style applied to the legend text.+  legendTextStyle :: Lens' a (Style V2 (N a))+  legendTextStyle = legend . lens lTextStyle (\l a -> l {lTextStyle = a})++  -- | The way the legend entries are listed. (This will likely be+  --   replaced by a grid-like system)+  legendOrientation :: Lens' a Orientation+  legendOrientation = legend . lens lOrientation (\l a -> l {lOrientation = a})++instance HasLegend (Legend b n) b where+  legend = id++instance HasGap (Legend b n) where+  gap = legendGap++instance HasPlacement (Legend b n) where+  placement = legendPlacement++instance (TypeableFloat n, Renderable (Text n) b) => Default (Legend b n) where+  def = Legend+    { lPlacement   = rightTop+    , lGap         = 20+    , lSpacing     = 20+    , lTextWidth   = 60+    , lStyle       = mempty+    , lTextF       = mkText (BoxAlignedText 0 0.5)+    , lTextStyle   = mempty & fontSize (output 11)+    , lOrientation = Vertical+    , lVisible     = True+    }++instance HasVisibility (Legend b n) where+  visible = lens lVisible (\l a -> l {lVisible = a})++instance TypeableFloat n => HasStyle (Legend b n) where+  applyStyle sty = over legendStyle (applyStyle sty)++instance HasOrientation (Legend b n) where+  orientation = legendOrientation++-- | Draw a legend to the bounding box using the legend entries and+--   legend options.+drawLegend+  :: (TypeableFloat n,+      Renderable (Path V2 n) b)+  => BoundingBox V2 n                -- ^ bounding box to place legend against+  -> [(QDiagram b V2 n Any, String)] -- ^ diagram pictures along with their key+  -> Legend b n                      -- ^ options for drawing the legend+  -> QDiagram b V2 n Any             -- ^ rendered legend+drawLegend bb entries l+  | l ^. hidden || null entries = mempty+  | otherwise   = placeAgainst+                    bb+                    (l ^. legendPlacement)+                    (l ^. legendGap)+                    (ledge <> back)+  where+    w = l ^. legendTextWidth+    h = l ^. legendSpacing+    --+    ledge = map mkLabels entries+              # orient (l ^. legendOrientation) hcat vcat+              # alignTL++    back = rect (w + h + 5) (h * fromIntegral (length entries))+             # fcA transparent+             # applyStyle (l ^. legendStyle)+             # alignTL+             # translate (V2 (-5) 0) -- (-3))++    -- mkLabels :: (QDiagram b V2 n Any, String) -> QDiagram b V2 n Any+    mkLabels (pic, txt) = pic' ||| strutX 5 ||| label where+      pic'  = pic # withEnvelope (fromCorners (pure (-h/2)) (pure (h/2)))+      label = view legendTextFunction l txt+                # applyStyle (l ^. legendTextStyle)+                # withEnvelope (fromCorners origin (mkP2 w h) # moveTo (mkP2 0 (-h/2)))++-- wrapPic :: RealFloat n => V2 n -> QDiagram b V2 n Any -> QDiagram b V2 n Any+-- wrapPic ((^/ 2) -> v) d+--   = d # sizedAs (fromCorners (origin .-^ v) (origin .+^ v))

@@ -0,0 +1,50 @@+{-# LANGUAGE DeriveDataTypeable #-}+{-# LANGUAGE TemplateHaskell    #-}++module Plots.Name where++import Control.Lens+-- import Data.Map            (Map)+import Data.Ord            (comparing)+import Data.Function+import Data.Typeable+import Diagrams.Core.Names+import Diagrams.Prelude    hiding (view)++data PlotName n = PlotName+  { _plotName    :: String+  , _namedSize2D :: SizeSpec V2 n+  , _namedT2     :: T2 n+  } deriving Typeable++makeLenses ''PlotName++instance Show (PlotName n) where+  show pn = "Plot: " ++ view plotName pn++-- equating :: Eq b => (a -> b) -> a -> a -> Bool+-- equating = on (==)++instance Eq (PlotName n) where+  (==) = on (==) (view plotName)++instance Ord (PlotName n) where+  compare = comparing (view plotName)++instance Typeable n => IsName (PlotName n)++-- _AName :: IsName a => Prism' AName a+-- _AName = prism' AName (\(AName a) -> cast a)++-- _Names :: IsName a => Traversal' Name a+-- _Names = _Wrapped' . traverse . _AName++-- _NamedString :: Traversal' Name String+-- _NamedString = _Names++-- _NamedPlot :: Typeable n => Traversal' Name (PlotName n)+-- _NamedPlot = _Names++-- diaNames :: OrderedField n => QDiagram b V2 n Any -> Map Name [P2 n]+-- diaNames = over (mapped . traversed) location . view (subMap . _Wrapped')+

@@ -0,0 +1,1104 @@+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RankNTypes             #-}+{-# LANGUAGE RecordWildCards        #-}+{-# LANGUAGE TypeFamilies           #-}+{-# LANGUAGE ViewPatterns           #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Style+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines the 'AxisStyle' type along with different colour+-- schemes. 'AxisStyle's are used to provide default colours and shapes+-- for the plots of an axis.+--+----------------------------------------------------------------------------++module Plots.Style+  ( -- * The axis style+    AxisStyle+  , HasAxisStyle (..)+  -- , axisStyles++    -- ** Predefined styles+  , fadedColours+  , vividColours+  , blackAndWhite++    -- * Plot Style+  , PlotStyle+  , HasPlotStyle (..)++  -- ** Applying Plot styles+  , applyLineStyle+  , applyMarkerStyle+  , applyAreaStyle+  , applyTextStyle++    -- * Colour schemes+  , colours1+  , colours2++    -- * Marker shapes+  , asterisk+  , diamond+  , crossShape+  , star'+  , plus+  , lineMarkers++    -- * Colour maps+  , ColourMap+  , ixColour+  , cmTraverse+  , colourMap+  , alphaColourMap+  , colourList+  , toStops++    -- ** Sample maps+  , viridis+  , magma+  , inferno+  , plasma+  , greys++  ) where++-- import           Control.Lens     hiding (transform, ( # ), at, none)+import qualified Control.Lens     as Lens+import           Data.Colour.SRGB+import qualified Data.Map         as M+import           Data.Typeable+import           Diagrams.Prelude hiding (magma)+import           Linear++-- | Plot styles are used to style each plot in an axis. Every 'Axis'+--   comes with a list of plots styles (contained in the 'AxisStyle')+--   which get applied the plots upon rendering.+--+--   You can either change the list of plot styles used with+--   'axisStyle':+--+-- @+-- stylishAxis = r2Axis &~ do+--   axisStyle .= vividColours+--   linePlot [(1,2) (3,4)] $ key "line 1"+--   linePlot [(1,1) (4,2)] $ key "line 2"+-- @+--+--   change the style for individual plots when changing the plot state.+--+-- @+-- stylishAxis2 = r2Axis &~ do+--   linePlot [(1,2) (3,4)] $ do+--     key "line 1"+--     plotColour .= green+--   linePlot [(1,1) (4,2)] $ do+--     key "line 2"+--     plotColour .= orange+-- @+--+--   A plot style is made up of separate styles ('lineStyle',+--   'markerStyle', 'areaStyle' and 'textStyle') a 'plotColour' and a+--   'plotMarker'. When rendering a plot, the 'PlotStyle's in an+--   'AxisStyle' are used to style each plot. The lenses can be used to+--   customise each style when adding the plot.+--+--   * 'plotColour' - the underlying colour of the plot+--   * 'lineStyle' - style used for lines ('linePlot', 'connectingLine'+--      in a 'scatterPlot')+--   * 'areaStyle' - style used for any area ('barPlot', 'piePlot',+--      'histogramPlot')+--   * 'markerStyle' - style used for markers in 'scatterPlot'+--   * 'plotMarker' - marker used in 'scatterPlot'+data PlotStyle b v n = PlotStyle+  { _plotColour  :: Colour Double+  , _lineStyle   :: Colour Double -> Style v n+  , _markerStyle :: Colour Double -> Style v n+  , _areaStyle   :: Colour Double -> Style v n+  , _textStyle   :: Colour Double -> Style v n+  , _plotMarker  :: QDiagram b v n Any+  } deriving Typeable+  -- XXX link to examples in haddock?++type instance V (PlotStyle b v n) = v+type instance N (PlotStyle b v n) = n++-- | Class for objects that contain a 'PlotStyle'.+class HasPlotStyle f a b | a -> b where+  -- | Lens onto the 'PlotStyle'.+  plotStyle :: LensLike' f a (PlotStyle b (V a) (N a))++  -- | The 'plotColour' is the overall colour of the plot. This is passed+  --   to the other styles ('lineStyle', 'markerStyle' etc.) to give an+  --   overall colour for the plot.+  plotColour :: Functor f => LensLike' f a (Colour Double)+  plotColour = plotStyle . lens _plotColour (\p f -> p {_plotColour = f})++  -- | Alias for 'plotColour'.+  plotColor :: Functor f => LensLike' f a (Colour Double)+  plotColor = plotColour++  -- | This style is applied to any plots made up of lines only (like+  --   'Path' plots). This is a less general version of+  --   'lineStyleFunction'.+  lineStyle :: Settable f => LensLike' f a (Style (V a) (N a))+  lineStyle = lineStyleFunction . mapped++  -- | A version 'lineStyle' with access to the current 'plotColour'+  --   when 'applyLineStyle' is used.+  lineStyleFunction :: Functor f => LensLike' f a (Colour Double ->+    Style (V a) (N a))+  lineStyleFunction = plotStyle . lens _lineStyle (\p f -> p {_lineStyle = f})++  -- | This style is applied to any markers in the plot (usually the+  --   'plotMarker'). This is a less general version of+  --   'markerStyleFunction'.+  markerStyle :: Settable f => LensLike' f a (Style (V a) (N a))+  markerStyle = markerStyleFunction . mapped++  -- | A version 'lineStyle' with access to the current 'plotColour' when+  --   'applyMarkerStyle' is used.+  markerStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))+  markerStyleFunction = plotStyle . lens _markerStyle (\p f -> p {_markerStyle = f})++  -- | This style is applied to any filled areas in a plot (like+  --   'Plots.Types.Bar' or 'Plots.Styles.Ribbon'). This is a less+  --   general version of 'areaStyleFunction'.+  areaStyle :: Settable f => LensLike' f a (Style (V a) (N a))+  areaStyle = areaStyleFunction . mapped++  -- | A version 'areaStyle' with access to the current 'plotColour' when+  --   'applyAreaStyle' is used.+  areaStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))+  areaStyleFunction = plotStyle . lens _areaStyle (\p f -> p {_areaStyle = f})++  -- | This style is applied to text plots. This is a less general+  --   version of 'textStyleFunction'.+  textStyle :: Settable f => LensLike' f a (Style (V a) (N a))+  textStyle = textStyleFunction . mapped++  -- | A version 'textStyle' with access to the current 'plotColour' when+  --   'applyAreaStyle' is used.+  textStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))+  textStyleFunction = plotStyle . lens _textStyle (\p f -> p {_textStyle = f})++  -- | This diagram is used as any markers in a plot (like+  --   'Plots.Types.Scatter'). The 'markerStyle' will be applied to this+  --   marker when the plot gets rendered.+  plotMarker :: Functor f => LensLike' f a (QDiagram b (V a) (N a) Any)+  plotMarker = plotStyle . lens _plotMarker (\p f -> p {_plotMarker = f})++  -- | A traversal over all the styles ('lineStyle', 'markerStyle',+  --  'areaStyle' and 'textStyle') of a 'PlotStyle'. This is a less+  --  general version of 'plotStyleFunctions'.+  plotStyles :: Settable f => LensLike' f a (Style (V a) (N a))+  plotStyles = plotStyleFunctions . mapped++  -- | A version of 'plotStyles' with access to the 'plotColour'.+  plotStyleFunctions :: Applicative f => LensLike' f a (Colour Double -> Style (V a) (N a))+  plotStyleFunctions = plotStyle . t+    where+      t f PlotStyle {..} = PlotStyle+        <$> pure _plotColour+        <*> f _lineStyle+        <*> f _markerStyle+        <*> f _areaStyle+        <*> f _textStyle+        <*> pure _plotMarker++instance HasPlotStyle f (PlotStyle b v n) b where+  plotStyle = id++-- Applying styles -----------------------------------------------------++-- | Apply the 'lineStyle' from a 'PlotStyle'.+--+-- @+-- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t+-- @+applyLineStyle+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)+  => a -> t -> t+applyLineStyle (view plotStyle -> sty) =+  applyStyle $ (sty ^. lineStyleFunction) (sty ^. plotColour)++-- | Apply the 'markerStyle' from a 'PlotStyle'.+--+-- @+-- applyMarkerStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t+-- @+applyMarkerStyle+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)+  => a -> t -> t+applyMarkerStyle (view plotStyle -> sty) =+  applyStyle $ (sty ^. markerStyleFunction) (sty ^. plotColour)++-- | Apply the 'areaStyle from a 'PlotStyle'.+--+-- @+-- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t+-- @+applyAreaStyle+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)+  => a -> t -> t+applyAreaStyle (view plotStyle -> sty) =+  applyStyle $ (sty ^. areaStyleFunction) (sty ^. plotColour)++-- | Apply the 'textStyle' from a 'PlotStyle'.+--+-- @+-- applyTextStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t+-- @+applyTextStyle+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)+  => a -> t -> t+applyTextStyle (view plotStyle -> sty) =+  applyStyle $ (sty ^. textStyleFunction) (sty ^. plotColour)++instance (Metric v, Traversable v, OrderedField n) => Transformable (PlotStyle b v n) where+  transform t = (plotMarker %~ transform t) . (plotStyles %~ transform t)++------------------------------------------------------------------------+-- Axis Style+------------------------------------------------------------------------++-- | The 'AxisStyle' determines the 'Style's of the plots in an axis.+--   There are various predifined styles to change the look of the plot.+data AxisStyle b v n = AxisStyle ColourMap [PlotStyle b v n]++type instance V (AxisStyle b v n) = v+type instance N (AxisStyle b v n) = n++-- | Class of things that have an 'AxisStyle'.+class HasAxisStyle a b | a -> b where+  -- | Lens onto the 'AxisStyle'.+  axisStyle :: Lens' a (AxisStyle b (V a) (N a))++  -- | The 'ColourMap' is used to draw the 'Plots.Axis.ColourBar' and+  --   render plots like 'Plots.HeatMap'.+  axisColourMap :: Lens' a ColourMap+  axisColourMap = axisStyle . cm+    where cm f (AxisStyle c ss) = f c <&> \c' -> AxisStyle c' ss++  -- | Traversal over the 'PlotStyle's in an 'AxisStyle'. There are always+  --   an infinite number of 'PlotStyle's in an 'AxisStyle'.+  axisStyles :: IndexedTraversal' Int a (PlotStyle b (V a) (N a))+  axisStyles = axisStyle . stys . traversed+    where stys f (AxisStyle c ss) = f ss <&> \ss' -> AxisStyle c ss'++instance HasAxisStyle (AxisStyle b v n) b where+  axisStyle = id++instance Applicative f => HasPlotStyle f (AxisStyle b v n) b where+  plotStyle = axisStyles++------------------------------------------------------------------------+-- Predefined themes+------------------------------------------------------------------------++-- $predefined+-- There are only a few themes for now. Eventually there will be a wider+-- range of themes with better support for customisation.++-- code to display axis styles+-- > import Plots+-- > showcase :: AxisStyle B V2 Double -> Diagram B+-- > showcase sty = hsep 0.4 . take 8 $ map drawSty stys+-- >   where+-- >     stys = sty ^.. axisStyles+-- >     drawSty s = applyMarkerStyle s (s^.plotMarker) <> applyLineStyle s lineBehind+-- >     lineBehind = (p2 (-1,0) ~~ p2 (1,0))+--+-- > fadedColourPic   = showcase fadedColours+-- > vividColourPic   = showcase vividColours+-- > blackAndWhitePic = showcase blackAndWhite++-- | Theme using 'funColours' with faded fills and thick lines.+--+-- <<diagrams/src_Plots_Style_fadedColourPic.svg#diagram=fadedColourPic&width=600>>+fadedColours :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n+fadedColours = AxisStyle viridis $+  zipWith mkStyle (cycle colours1) (cycle $ map stroke filledMarkers)+  where+    mkStyle c = PlotStyle c lineS fadeS fadeS fillS+    lineS c = mempty # lc c # lwO 3 --  normal+    fadeS c = mempty # fc (blend 0.1 white c) # lc c # lwO 1+    fillS c = mempty # fc c # lw none++-- | Theme using 'funColours' with no lines on 'areaStyle.+--+-- <<diagrams/src_Plots_Style_vividColourPic.svg#diagram=vividColourPic&width=600>>+vividColours :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n+vividColours = AxisStyle viridis $+  zipWith mkStyle (cycle colours2) (cycle $ map (scale 1.2 . stroke) filledMarkers)+  where+    mkStyle c = PlotStyle c lineS markS fillS fillS+    lineS c = mempty # lc c # lwO 3 -- normal+    markS c = mempty # fc c # lwO 1 # lc white+    fillS c = mempty # fc c # lw none++-- | Theme without any colours, useful for black and white documents.+--+-- <<diagrams/src_Plots_Style_blackAndWhitePic.svg#diagram=blackAndWhitePic&width=600>>+blackAndWhite :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n+blackAndWhite = AxisStyle greys $+  zipWith3 mkStyle (cycle colours) (cycle lineStyles) (cycle $ map stroke filledMarkers)+  where+    mkStyle c ls = PlotStyle c ls markerS (mk fc) (mk fc)+    mk f c = mempty # f c+    --+    markerS c  = mempty # fc white # lc c+    lineStyles = mempty : map (\ds -> mempty # dashingL ds 0) dashes+    dashes     = [[6,6], [6,2], [2,2], [6,8,3]]+    colours    = [black, blend 0.8 black white, blend 0.6 black white, blend 0.4 black white]++------------------------------------------------------------------------+-- Colours+------------------------------------------------------------------------++-- Unimaginative names :(++-- | A colourful colour set used for 'fadedColours'.+colours1 :: OrderedField n => [Colour n]+colours1 = cycle+  [ sRGB24 228 26  28+  , sRGB24 55  126 184+  , sRGB24 77  175 74+  , sRGB24 152 78  163+  , sRGB24 255 127 0+  , sRGB24 166 86  40+  , sRGB24 247 129 191+  , sRGB24 153 153 153+  ]++-- | Another colour set, used for 'vividColours'.+colours2 :: OrderedField n => [Colour n]+colours2 = cycle+  [ sRGB24 27  158 119+  , sRGB24 217 95  2+  , sRGB24 117 112 179+  , sRGB24 231 41  138+  , sRGB24 102 166 30+  , sRGB24 230 171 2+  , sRGB24 166 118 29+  , sRGB24 102 102 102+  ]++-- | Markers which have a filling, used for 'fadedColours' and+--   'vividColours'.+filledMarkers :: RealFloat n => [Path V2 n]+filledMarkers = scale 11 . map (centerXY . pathFromTrail) $ cycle+  [ circle 0.5+  , square 1+  , triangle 1+  , diamond (1 / sqrt 2)+  , pentagon 0.6+  , crossShape 1+  , plus 1+  , star' 0.8+  ]++-- | 'asterisk' markers with varying numbers of prongs.+lineMarkers :: OrderedField n => [Path V2 n]+lineMarkers = scale 11 $ cycle+  [ asterisk 4 1 # rotateBy (1/8)+  , asterisk 6 1+  , asterisk 5 1+  , asterisk 2 1+  , asterisk 2 1 # rotateBy (1/4)+  , asterisk 10 1+  , asterisk 3 1+  , asterisk 3 1 # rotateBy (1/2)+  ]++------------------------------------------------------------------------+-- Shapes+------------------------------------------------------------------------++-- | Make an asterisk with @n@ spokes, each of length @l@.+asterisk :: OrderedField n => Int -> n -> Path V2 n+asterisk n x+  = mconcat . take n+  . iterate (rotateBy (1/fromIntegral n))+  $ (0 ^& 0) ~~ (0 ^& x)++-- | A rotated 'square'.+diamond :: (InSpace V2 n t, TrailLike t) => n -> t+diamond = trailLike . rotateBy (1/8) . square++-- | A rotated 'plus'.+crossShape :: (InSpace V2 n t, TrailLike t) => n -> t+crossShape = trailLike . rotateBy (1/8) . plus++-- | Filled in @+@ symbol.+plus :: (InSpace V2 n t, TrailLike t) => n -> t+plus x = trailLike . (`at` mkP2 (x/6) (x/6))+       . wrapTrail . glueLine . mconcat . take 4+       . iterate (rotateBy (1/4)) . onLineSegments init+       $ square (x/3)++-- | A filled in five sided start of size x.+star' :: (InSpace V2 n t, TrailLike t) => n -> t+star' x = trailLike . (`at` mkP2 (-x/6) (x/6))+        . wrapTrail . glueLine . mconcat . take 5+        . iterate (rotateBy (-1/5)) $ spoke+  where+    spoke = fromOffsets . map r2 $ [(x/6,x/2), (x/6,-x/2)]++------------------------------------------------------------------------+-- Colour maps+------------------------------------------------------------------------++-- type ColourMap = [(Double, AlphaColour Double)]++-- | A map from a number (usually between 0 and 1) to a colour. Colour+--   maps are part of the 'AxisStyle', which is used for plots like+--   'Plots.Types.HeatMap'.+newtype ColourMap = ColourMap (M.Map Rational (AlphaColour Double))+  deriving Show+++type instance V ColourMap = V1+type instance N ColourMap = Rational++-- makeWrapped ''ColourMap+-- manually write instance to avoid template haskell splitting the+-- module up+instance Rewrapped ColourMap ColourMap+instance Wrapped ColourMap where+  type Unwrapped ColourMap = M.Map Rational (AlphaColour Double)+  _Wrapped' = iso (\(ColourMap a) -> a) ColourMap+  {-# INLINE _Wrapped' #-}++p1apply :: Num a => Transformation V1 a -> a -> a+p1apply t a = papply t (P (V1 a)) ^. _x++instance Transformable ColourMap where+  transform t = over (_Wrapped' . _Wrapped' . mapped . _1) (p1apply t)++type instance Index ColourMap   = Rational+type instance IxValue ColourMap = AlphaColour Double++instance AsEmpty ColourMap where+  _Empty = nearly (ColourMap M.empty) (allOf each (==transparent))++instance Each ColourMap ColourMap (AlphaColour Double) (AlphaColour Double) where+  each = _Wrapped' . each++instance Ixed ColourMap where+  ix = ixColour++-- | 'Nothing' == 'transparent'+instance At ColourMap where+  at x = ixColour x . from (non transparent)++ixColour :: Rational -> Lens' ColourMap (AlphaColour Double)+ixColour x f (ColourMap cm) = f c <&> \c' -> ColourMap (M.insert x c' cm)+  where+  c = case (M.lookupLE x cm, M.lookupGE x cm) of+        (Just (i,c1), Just (j,c2))+          | i == j    -> c1+          | otherwise ->+              let a = fromRational $ (x - i) / (j - i)+              in  blend a c2 c1+        (Just (_,c1), Nothing) -> c1+        (Nothing, Just (_,c2)) -> c2+        _                      -> transparent++-- | Indexed traversal over the colours indexed and ordered by their+--   position in the map.+cmTraverse :: IndexedTraversal' Rational ColourMap (AlphaColour Double)+cmTraverse = _Wrapped' . itraversed++-- | Return the list of colours in the [0,1] range in order. This always+--   includes colours 0 and 1.+colourList :: ColourMap -> [(Rational, AlphaColour Double)]+colourList = itoListOf (cmTraverse . ifiltered (\i _ -> i >= 0 && i <= 1))+           . (ixColour 0 %~ id) . (ixColour 1 %~ id)+           -- touch colours at 0 and 1 so they're in the list++colourMap :: [(Rational, Colour Double)] -> ColourMap+colourMap = alphaColourMap . over (mapped . _2) opaque++alphaColourMap :: [(Rational, AlphaColour Double)] -> ColourMap+alphaColourMap [] = ColourMap M.empty+alphaColourMap cs+  | a == b        = ColourMap (M.singleton 0.5 c)+  | otherwise     = ColourMap (M.mapKeysMonotonic normalise cm)+  where+    cm    = M.fromList cs+    (a,c) = M.findMin cm+    (b,_) = M.findMax cm+    normalise x = (x - a) / (b - a)++toStops :: Fractional n => ColourMap -> [GradientStop n]+toStops = map (\(x,c) -> GradientStop (SomeColor c) (fromRational x))+        . colourList++-- Colour maps ---------------------------------------------------------++-- > import Plots+-- > cmBar cm = gradientColourBar cm # scaleX 15+-- > greysBar = cmBar greys+-- > magmaBar = cmBar Plots.magma+-- > infernoBar = cmBar inferno+-- > plasmaBar = cmBar plasma+-- > viridisBar = cmBar viridis++-- | A colour map from black to white.+--+-- <<diagrams/src_Plots_Style_greysBar.svg#diagram=greysBar&width=600>>+greys :: ColourMap+greys = colourMap [(0, black), (1, white)]++-- | The magma colour map taken from https://bids.github.io/colormap/.+--+-- <<diagrams/src_Plots_Style_magmaBar.svg#diagram=magmaBar&width=600>>+magma :: ColourMap+magma = colourMap $ zip [1..]+  [ sRGB 0.001462 0.000466 0.013866, sRGB 0.002258 0.001295 0.018331+  , sRGB 0.003279 0.002305 0.023708, sRGB 0.004512 0.003490 0.029965+  , sRGB 0.005950 0.004843 0.037130, sRGB 0.007588 0.006356 0.044973+  , sRGB 0.009426 0.008022 0.052844, sRGB 0.011465 0.009828 0.060750+  , sRGB 0.013708 0.011771 0.068667, sRGB 0.016156 0.013840 0.076603+  , sRGB 0.018815 0.016026 0.084584, sRGB 0.021692 0.018320 0.092610+  , sRGB 0.024792 0.020715 0.100676, sRGB 0.028123 0.023201 0.108787+  , sRGB 0.031696 0.025765 0.116965, sRGB 0.035520 0.028397 0.125209+  , sRGB 0.039608 0.031090 0.133515, sRGB 0.043830 0.033830 0.141886+  , sRGB 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@@ -0,0 +1,755 @@+{-# LANGUAGE CPP                    #-}+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE GADTs                  #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RankNTypes             #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE ScopedTypeVariables    #-}+{-# LANGUAGE TypeFamilies           #-}+{-# LANGUAGE TypeOperators          #-}+{-# LANGUAGE UndecidableInstances   #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- This module defines the various types for holding plots:+--+-- [@'PlotOptions' b v n@]+-- Generic options all plots have.+--+-- [@'PlotMods' b v n@]+-- Includes 'PlotOptions' along with modifications to the 'PlotStyle'.+--+-- [@'Plot' p b@]+-- A 'rawPlot' @p@ grouped with a 'PlotMods'.+--+-- [@'DynamicPlot' b v n@]+-- A wrapped up 'Plot' so it can be stored in an 'Axis'.+--+-- [@'StyledPlot' b v n@]+-- A 'DynamicPlot' with a concrete 'PlotStyle', ready to be rendered.+--+-- As well as other things like the 'Plotable' class, 'LegendEntries',+-- 'HasOrientation' and 'HasVisibility'.+--+----------------------------------------------------------------------------+module Plots.Types+  (++    -- * Plot options+    PlotOptions+  , HasPlotOptions (..)+  , key+  , addLegendEntry++    -- ** Plot modifications+  , PlotMods+  , plotMods++    -- * Plotable class+  , Plotable (..)++    -- * Plot types+    -- ** Parameterised plot+  , Plot+  , mkPlot+  , rawPlot++    -- ** Dynamic plot+  , DynamicPlot (..)+  , _DynamicPlot+  , dynamicPlot+  , dynamicPlotMods++    -- ** Styled plot+  , StyledPlot+  , styledPlot+  , styleDynamic+  , renderStyledPlot+  , singleStyledPlotLegend+  , styledPlotLegends++  -- * Miscellaneous+  -- ** Visibility+  , HasVisibility (..)+  , hide+  , display++  -- ** Orientation+  , Orientation (..)+  , HasOrientation (..)+  , orient+  , horizontal+  , vertical++  -- ** Legend entries+  , LegendEntry+  , LegendPic (..)+  , mkLegendEntry+  , legendPicture+  , legendText+  , legendPrecedence++    -- ** Axis spec+  , AxisSpec (..)+  , specTrans+  , specBounds+  , specScale+  , scaleNum+  , specPoint+  , specColourMap++  -- ** Positioning+  , Placement (..)+  , HasPlacement (..)+  , HasGap (..)+  , placeAgainst++  -- *** Common positions+  -- **** Inside positions+  , topLeft, top, topRight, left, right, bottomLeft, bottom+  , bottomRight++  -- **** Outside positions+  , leftAbove, leftTop, leftMid, leftBottom, leftBelow, midAbove, midBelow+  , rightAbove, rightTop, rightMid, rightBottom, rightBelow++  ) where++import           Control.Monad.State+import           Data.Bool+import           Data.Maybe            (fromMaybe)+import           Data.Orphans          ()+import           Data.Typeable+import           Data.List             (sortOn)+import           Diagrams.Prelude      as D++#if __GLASGOW_HASKELL__ < 710+import           Data.Foldable         (Foldable)+#endif++import           Plots.Style+import           Plots.Axis.Scale+import           Plots.Util++-- Orientation ---------------------------------------------------------++data Orientation = Horizontal | Vertical+  deriving (Show, Eq, Ord, Typeable)++-- | Pick the first @a@ if the object has 'Horizontal' orientation and+--   the second @a@ if the object has a 'Vertical' orientation.+orient :: HasOrientation o => o -> a -> a -> a+orient o h v =+  case view orientation o of+    Horizontal -> h+    Vertical   -> v++-- | Class of things that have an orientation.+class HasOrientation a where+  -- | Lens onto the orientation of an object.+  orientation :: Lens' a Orientation++instance HasOrientation Orientation where+  orientation = id++-- | Lens onto whether an object's orientation is horizontal.+horizontal :: HasOrientation a => Lens' a Bool+horizontal = orientation . iso (==Horizontal) (bool Vertical Horizontal)++-- | Lens onto whether an object's orientation is vertical.+vertical :: HasOrientation a => Lens' a Bool+vertical = horizontal . involuted not++------------------------------------------------------------------------+-- Placement+------------------------------------------------------------------------++class HasGap a where+  -- | The value of the gap when rendering.+  gap :: Lens' a (N a)++-- | A 'Position' is a point on an axis together with an anchor and a+--   direction for the gap.+data Placement = Placement+  { pAt     :: V2 Rational+  , pAnchor :: V2 Rational+  , pGapDir :: Direction V2 Rational+  }+  deriving (Show, Read, Eq, Ord)+  -- In the future the axis position may be replaced by a reader-like+  -- anchor system where you can choose parts of the rendered axis as a+  -- position.+  -- we keep posGap and posGapDir as separate values to keep lens laws+  -- for 0 gaps+  -- I'm not sure this should work for a 3D axis++class HasPlacement a where+  placement :: Lens' a Placement++  -- | The position relative to the axis. @V2 0 0@ corresponds to the+  --   bottom left corner, @V2 1 1@ is the top right corner.+  placementAt :: Lens' a (V2 Rational)+  placementAt = placement . lens pAt (\p a -> p {pAt = a})++  -- | The anchor used for the object being positioned. @V2 0 0@+  --   corresponds to the bottom left corner, @V2 1 1@ is the top right+  --   corner.+  placementAnchor :: Lens' a (V2 Rational)+  placementAnchor = placement . lens pAnchor (\p a -> p {pAnchor = a})++  -- | The direction to extend the 'gap' when positioning.+  gapDirection :: Lens' a (Direction V2 Rational)+  gapDirection = placement . lens pGapDir (\p a -> p {pGapDir = a})++instance HasPlacement Placement where+  placement = id++-- Inside positions ----------------------------------------------------++-- Internal helper for all inside placements+pInside :: V2 Rational -> Placement+pInside v = Placement+  { pAt     = v+  , pAnchor = v+  , pGapDir = dirBetween' (P v) origin+  }++-- | @dirBetween p q@ returns the directions from @p@ to @q@+dirBetween' :: (Additive v, Num n) => Point v n -> Point v n -> Direction v n+dirBetween' p q = direction $ q .-. p+++topLeft, top, topRight, left, right, bottomLeft, bottom, bottomRight :: Placement+topLeft     = pInside (V2 (-1)   1 )+top         = pInside (V2   0    1 )+topRight    = pInside (V2   1    1 )+left        = pInside (V2 (-1)   0 )+right       = pInside (V2 (-1)   0 )+bottomLeft  = pInside (V2 (-1) (-1))+bottom      = pInside (V2   0  (-1))+bottomRight = pInside (V2   1  (-1))++-- Outside positions ---------------------------------------------------++leftAbove, leftTop, leftMid, leftBottom, leftBelow, midAbove, midBelow,+  rightAbove, rightTop, rightMid, rightBottom, rightBelow :: Placement++leftAbove   = Placement (V2 (-1)   1 ) (V2 (-1) (-1)) (direction (V2   0    1 ))+leftTop     = Placement (V2 (-1)   1 ) (V2   1    1 ) (direction (V2 (-1)   0 ))+leftMid     = Placement (V2 (-1)   0 ) (V2   1    0 ) (direction (V2 (-1)   0 ))+leftBottom  = Placement (V2 (-1) (-1)) (V2   1  (-1)) (direction (V2 (-1)   0 ))+leftBelow   = Placement (V2 (-1) (-1)) (V2 (-1)   1 ) (direction (V2   0  (-1)))++midAbove    = Placement (V2   0    1 ) (V2   0  (-1)) (direction (V2   0    1 ))+midBelow    = Placement (V2   0  (-1)) (V2   0    1 ) (direction (V2   0  (-1)))++rightAbove  = Placement (V2   1    1 ) (V2   1  (-1)) (direction (V2   0    1 ))+rightTop    = Placement (V2   1    1 ) (V2 (-1)   1 ) (direction (V2   1    0 ))+rightMid    = Placement (V2   1    0 ) (V2 (-1)   0 ) (direction (V2   1    0 ))+rightBottom = Placement (V2   1  (-1)) (V2 (-1) (-1)) (direction (V2   1    0 ))+rightBelow  = Placement (V2   1  (-1)) (V2   1    1 ) (direction (V2   0  (-1)))++-- Using positions -----------------------------------------------------++-- | A tool for aligned one object to another. Positions @b@ around the+--   bounding box of @a@ by translating @b@.+placeAgainst+  :: (InSpace V2 n a, SameSpace a b, Enveloped a,+      HasOrigin b, Alignable b)+  => a -> Placement -> n -> b -> b+placeAgainst a (Placement (V2 px py) (V2 ax ay) d) n b+  = b # anchor+      # moveTo (pos .+^ n *^ fromDirection (fmap fromRational d))+  where+    pos    = mkP2 (lerp' px xu xl) (lerp' py yu yl)+    anchor = alignBy unitX (fromRational ax) . alignBy unitY (fromRational ay)+    (P (V2 xl yl), P (V2 xu yu)) = fromMaybe (origin, origin) (getCorners $ boundingBox a)++    lerp' z u v = fromRational alpha * u + (1 - fromRational alpha) * v+      where alpha = (z + 1) / 2++------------------------------------------------------------------------+-- Legend entries+------------------------------------------------------------------------++-- | Type allowing use of the default legend picture (depending on the+--   plot) or a custom legend picture with access to the 'PlotStyle'.+data LegendPic b v n+  = DefaultLegendPic+  | CustomLegendPic (PlotStyle b v n -> QDiagram b v n Any)++instance Default (LegendPic b v n) where+  def = DefaultLegendPic++-- | Data type for holding a legend entry.+data LegendEntry b v n = LegendEntry+  { lPic        :: LegendPic b v n+  , lText       :: String+  , lPrecedence :: n+  } deriving Typeable++-- | The picture used in the legend entry.+legendPicture :: Lens' (LegendEntry b v n) (LegendPic b v n)+legendPicture = lens lPic (\l pic -> l {lPic = pic})++-- | The text used in the legend entry.+legendText :: Lens' (LegendEntry b v n) String+legendText = lens lText (\l txt -> l {lText = txt})++-- | The order in which the legend entries are rendered. If precedence+--   are equal, they entries are put in the order they are added to the+--   axis.+--+--   Default is @0@.+legendPrecedence :: Lens' (LegendEntry b v n) n+legendPrecedence = lens lPrecedence (\l n -> l {lPrecedence = n})++type instance V (LegendEntry b v n) = v+type instance N (LegendEntry b v n) = n++-- | Make a legend entry with a default 'legendPicture' and+--   'legendPrecedence' 0 using the string as the 'legendText'.+mkLegendEntry :: Num n => String -> LegendEntry b v n+mkLegendEntry x = LegendEntry DefaultLegendPic x 0++------------------------------------------------------------------------+-- Plot attributes+------------------------------------------------------------------------++-- Generic Plot info++-- | Data type for holding information all plots must contain.+data PlotOptions b v n = PlotOptions+  { poName      :: Name+  , poClipPlot  :: Bool+  , poLegend    :: [LegendEntry b v n]+  , poVisible   :: Bool+  , poTransform :: Transformation v n+  -- , poPostPlotBoundingBox :: BoundingBox v n -> BoundingBox v n+  -- , poPlotPostProduction  :: QDiagram b v n Any -> QDiagram b v n Any+  } deriving Typeable++type instance V (PlotOptions b v n) = v+type instance N (PlotOptions b v n) = n++-- | Class of things that have 'PlotOptions'.+class HasPlotOptions f a b | a -> b where+  {-# MINIMAL plotOptions #-}+  -- | Lens onto the 'PlotOptions'.+  plotOptions :: LensLike' f a (PlotOptions b (V a) (N a))++  -- | The 'Name' applied to the plot. This gives a way to reference a+  --   specific plot in a rendered axis.+  --+  --   'Default' is 'mempty'.+  plotName :: Functor f => LensLike' f a Name+  plotName = plotOptions . lens poName (\g a -> g {poName = a})+  {-# INLINE plotName #-}++  -- | Whether the plot should be clipped to the bounds of the axes.+  --+  --   'Default' is 'True'.+  clipPlot :: Functor f => LensLike' f a Bool+  clipPlot = plotOptions . lens poClipPlot (\g a -> g {poClipPlot = a})+  {-# INLINE clipPlot #-}++  -- | The legend entries to be used for the current plot.+  --+  --   'Default' is 'mempty'.+  legendEntries :: Functor f => LensLike' f a [LegendEntry b (V a) (N a)]+  legendEntries = plotOptions . lens poLegend (\g a -> g {poLegend = a})+  {-# INLINE legendEntries #-}++  -- | The transform applied to the plot once it's in the axis+  --   coordinates.+  --+  --   'Default' is 'mempty'.+  plotTransform :: Functor f => LensLike' f a (Transformation (V a) (N a))+  plotTransform = plotOptions . lens poTransform (\g a -> g {poTransform = a})+  {-# INLINE plotTransform #-}++  -- | Whether or not the plot should be shown. The 'BoundingBox' of the+  --   plot will still affect the inferred axis bounds.+  --+  --   'Default' is 'True'.+  plotVisible :: Functor f => LensLike' f a Bool+  plotVisible = plotOptions . lens poVisible (\po b -> po {poVisible = b})+  {-# INLINE plotVisible #-}++instance (Additive v, Num n) => Default (PlotOptions b v n) where+  def = PlotOptions+    { poName                = mempty+    , poClipPlot            = True+    , poLegend              = []+    , poVisible             = True+    , poTransform           = mempty+    -- , poPostPlotBoundingBox = id+    -- , poPlotPostProduction  = id+    }++instance HasPlotOptions f (PlotOptions b v n) b where+  plotOptions = id+  {-# INLINE plotOptions #-}++instance (HasLinearMap v, Num n) => Transformable (PlotOptions b v n) where+  transform = over plotTransform . transform++-- instance HasBounds (PlotOptions b v n) v where+--   bounds = plotBounds++-- | Move origin by applying to @plotTransform@.+instance (Additive v, Num n) => HasOrigin (PlotOptions b v n) where+  moveOriginTo = over plotTransform . moveOriginTo++instance Qualifiable (PlotOptions b v n) where+  n .>> p = over plotName (n .>>) p++-- XXX template haskell getting in the way+-- instance HasVisibility (PlotOptions b v n) where+--   visible = plotVisible++-- | Add a 'LegendEntry' to something with 'PlotOptions' using the+--   'String' as the 'legendText' and a 'DefaultLegendPic'. Here are+--   some typical examples:+--+-- @+-- 'key' :: 'String' -> 'State' ('Plot' ('ScatterPlot' v n) b) ()+-- 'key' :: 'String' -> 'State' ('DynamicPlot' b v n) ()+-- 'key' :: 'String' -> 'State' ('PlotMods' b v n) ()+-- @+--+--  If you only care about the name of the legend, use 'key'.+key :: (HasPlotOptions Identity a b, MonadState a m, Num (N a)) => String -> m ()+key = addLegendEntry . mkLegendEntry++-- | Add a 'LegendEntry' to something with 'PlotOptions'. Here are some+--   typical examples:+--+-- @+-- 'addLegendEntry' :: 'LegendEntry' b v n -> 'State' ('Plot' ('ScatterPlot' v n) b) ()+-- 'addLegendEntry' :: 'LegendEntry' b v n -> 'State' ('DynamicPlot' b v n) ()+-- @+--+--  If you only care about the name of the legend, use 'key'.+addLegendEntry+  :: (HasPlotOptions Identity a b, MonadState a m)+  => LegendEntry b (V a) (N a)+  -> m ()+addLegendEntry l = legendEntries <>= [l]++-- zeroInt :: Additive v => v Int+-- zeroInt = zero++------------------------------------------------------------------------+-- AxisSpec+------------------------------------------------------------------------++-- | Information from the 'Plots.Axis.Axis' necessary to render a 'Plotable'.+data AxisSpec v n = AxisSpec+  { _specBounds    :: v (n, n)+  , _specTrans     :: Transformation v n+  , _specScale     :: v LogScale+  , _specColourMap :: ColourMap+  }++makeLenses ''AxisSpec++type instance V (AxisSpec v n) = v+type instance N (AxisSpec v n) = n++-- | Scale a number by log10-ing it and linearly scaling it so it's+--   within the same range.+scaleNum :: Floating n => (n, n) -> LogScale -> n -> n+scaleNum (a,b) s x = case s of+  LinearAxis -> x+  LogAxis    -> subtract a $ (b / logBase 10 d) * (logBase 10 x)+    where d = b - a++-- | Apply log scaling and the transform to a point.+specPoint :: (Applicative v, Additive v, Floating n) => AxisSpec v n -> Point v n -> Point v n+specPoint (AxisSpec bs tr ss _) p =+  papply tr $ over _Point (scaleNum <$> bs <*> ss <*>) p++------------------------------------------------------------------------+-- Plotable class+------------------------------------------------------------------------++-- | Class defining how plots should be rendered.+class (Typeable p, Enveloped p) => Plotable p b where+  -- | Render a plot according to the 'AxisSpec', using the 'PlotStyle'.+  renderPlotable+    :: InSpace v n p+    => AxisSpec v n+    -> PlotStyle b v n+    -> p+    -> QDiagram b v n Any++  -- | The default legend picture when the 'LegendPic' is+  --   'DefaultLegendPic'.+  defLegendPic+    :: InSpace v n p+    => PlotStyle b v n+    -> p+    -> QDiagram b v n Any+  defLegendPic = mempty++instance (Typeable b, Typeable v, Metric v, Typeable n, OrderedField n)+  => Plotable (QDiagram b v n Any) b where+  renderPlotable s _ dia = dia # transform (s^.specTrans)++instance (TypeableFloat n, Renderable (Path V2 n) b) => Plotable (Path V2 n) b where+  renderPlotable s sty path+    = stroke path+        # transform (s^.specTrans)+        # applyLineStyle sty++  defLegendPic sty _+    = (p2 (-10,0) ~~ p2 (10,0))+        # applyLineStyle sty++------------------------------------------------------------------------+-- Visibility+------------------------------------------------------------------------++-- | Class of objects that can be hidden.+class HasVisibility a where+  -- | Lens onto whether an object should be visible when rendered.+  visible :: Lens' a Bool++  -- | The opposite of 'visible'.+  hidden :: Lens' a Bool+  hidden = visible . involuted not+  {-# INLINE hidden #-}++instance HasVisibility (PlotOptions b v n) where+  visible = plotVisible++instance HasVisibility (PlotMods b v n) where+  visible = plotVisible++instance HasVisibility (Plot p b) where+  visible = plotVisible++instance HasVisibility (DynamicPlot b v n) where+  visible = plotVisible++instance HasVisibility (StyledPlot b v n) where+  visible = plotVisible++-- | Set 'visible' to 'False' for the given setter.+--+-- @+-- 'hide' 'minorTicks'          :: 'State' ('Axis' b v n) ()+-- 'hide' ('xAxis' . 'gridLines') :: 'State' ('Axis' b v n) ()+-- @+hide :: (MonadState s m, HasVisibility a) => ASetter' s a -> m ()+hide l = l . visible .= False++-- | Set 'visible' to 'True' for the given setter.+--+-- @+-- 'display' 'minorGridLines' :: 'State' ('Axis' b v n) ()+-- 'display' 'colourBar'      :: 'State' ('Axis' b v n) ()+-- @+display :: (MonadState s m, HasVisibility a) => ASetter' s a -> m ()+display l = l . visible .= True++------------------------------------------------------------------------+-- Plot modification+------------------------------------------------------------------------++-- | A 'PlotOptions' with modifications to a 'PlotStyle'.+data PlotMods b v n+  = PlotMods (PlotOptions b v n) (PlotStyle b v n -> PlotStyle b v n)++type instance V (PlotMods b v n) = v+type instance N (PlotMods b v n) = n++instance Functor f => HasPlotOptions f (PlotMods b v n) b where+  plotOptions f (PlotMods opts sty) = f opts <&> \opts' -> PlotMods opts' sty++instance Settable f => HasPlotStyle f (PlotMods b v n) b where+  plotStyle = sty . mapped where+    sty f (PlotMods opts s) = f s <&> \s' -> PlotMods opts s'++instance (Additive v, Num n) => Default (PlotMods b v n) where+  def = PlotMods def id++------------------------------------------------------------------------+-- Plot type+------------------------------------------------------------------------++-- | A parameterised plot, together with a 'PlotMods'. This type has an+--   instance of many classes for modifying specific plots.+data Plot p b =+  Plot p+       (PlotOptions b (V p) (N p))+       (PlotStyle b (V p) (N p) -> PlotStyle b (V p) (N p))+  deriving Typeable++type instance V (Plot p b) = V p+type instance N (Plot p b) = N p++instance Functor f => HasPlotOptions f (Plot p b) b where+  plotOptions f (Plot p opts sty) = f opts <&> \opts' -> Plot p opts' sty++instance Settable f => HasPlotStyle f (Plot p b) b where+  plotStyle = sty . mapped where+    sty f (Plot p opts s) = f s <&> \s' -> Plot p opts s'++instance HasOrientation p => HasOrientation (Plot p b) where+  orientation = rawPlot . orientation++-- | Make a 'Plot' with 'Default' 'PlotOptions'.+mkPlot :: (Additive (V p), Num (N p)) => p -> Plot p b+mkPlot p = Plot p def id++-- | Lens onto the raw 'Plotable' inside a 'Plot'.+rawPlot :: SameSpace p p' => Lens (Plot p b) (Plot p' b) p p'+rawPlot f (Plot p opts ps) = f p <&> \p' -> Plot p' opts ps++-- | The modifications to the 'PlotOptions' and 'PlotStyle' in a 'Plot'.+plotMods :: Lens' (Plot p b) (PlotMods b (V p) (N p))+plotMods f (Plot p opts ps) =+  f (PlotMods opts ps) <&> \(PlotMods opts' ps') -> Plot p opts' ps'++------------------------------------------------------------------------+-- DynamicPlot+------------------------------------------------------------------------++-- | A wrapped up 'Plot', used to store plots in an 'Axis'.+data DynamicPlot b v n where+  DynamicPlot :: (InSpace v n p, Plotable p b) => Plot p b -> DynamicPlot b v n+  deriving Typeable++type instance V (DynamicPlot b v n) = v+type instance N (DynamicPlot b v n) = n++-- | Prism for a 'DynamicPlot'.+_DynamicPlot :: (Plotable p b, Typeable b) => Prism' (DynamicPlot b (V p) (N p)) (Plot p b)+_DynamicPlot = prism' DynamicPlot (\(DynamicPlot p) -> cast p)++-- | Traversal over the dynamic plot without the Plotable constraint+--   '_DynamicPlot' has.+dynamicPlot :: forall p b. (Typeable p, Typeable b)+            => Traversal' (DynamicPlot b (V p) (N p)) (Plot p b)+dynamicPlot f d@(DynamicPlot p) =+  case eq p of+    Just Refl -> f p <&> \p' -> DynamicPlot p'+    Nothing   -> pure d+  where eq :: Typeable a => a -> Maybe (a :~: Plot p b)+        eq _ = eqT+instance Functor f => HasPlotOptions f (DynamicPlot b v n) b where+  plotOptions f (DynamicPlot (Plot p opts sty)) =+    f opts <&> \opts' -> DynamicPlot (Plot p opts' sty)++instance Settable f => HasPlotStyle f (DynamicPlot b v n) b where+  plotStyle = sty . mapped where+    sty :: Setter' (DynamicPlot b v n) (PlotStyle b v n -> PlotStyle b v n)+    sty f (DynamicPlot (Plot p opts s)) = f s <&> \s' -> DynamicPlot (Plot p opts s')++-- | The modifications to the 'PlotOptions' and 'PlotStyle' in a 'DynamicPlot'.+dynamicPlotMods :: Lens' (DynamicPlot b v n) (PlotMods b v n)+dynamicPlotMods f (DynamicPlot (Plot p opts ps)) =+  f (PlotMods opts ps) <&> \(PlotMods opts' ps') -> DynamicPlot (Plot p opts' ps')++------------------------------------------------------------------------+-- StyledPlot+------------------------------------------------------------------------++-- | A 'DynamicPlot' with a concrete style. This is suitable for being+--   rendered with 'renderStyledPlot' and get extract the legend entries+--   with 'styledPlotLegend'.+--+--   You can make a 'StyledPlot' with 'styleDynamic'+data StyledPlot b v n where+  StyledPlot+    :: Plotable p b+    => p+    -> PlotOptions b (V p) (N p)+    -> PlotStyle b (V p) (N p)+    -> StyledPlot b (V p) (N p)++type instance V (StyledPlot b v n) = v+type instance N (StyledPlot b v n) = n++instance Functor f => HasPlotOptions f (StyledPlot b v n) b where+  plotOptions f (StyledPlot p opts sty) =+    f opts <&> \opts' -> StyledPlot p opts' sty++instance (Metric v, OrderedField n) => Enveloped (StyledPlot b v n) where+  getEnvelope (StyledPlot p opts _) =+    getEnvelope p & transform (poTransform opts)++instance Functor f => HasPlotStyle f (StyledPlot b v n) b where+  plotStyle f (StyledPlot p opts sty) =+    f sty <&> StyledPlot p opts++-- | Traversal over a raw plot of a styled plot. The type of the plot+--   must match for the traversal to be succesful.+styledPlot :: forall p b. Typeable p => Traversal' (StyledPlot b (V p) (N p)) p+styledPlot f s@(StyledPlot p opts sty) =+  case eq p of+    Just Refl -> f p <&> \p' -> StyledPlot p' opts sty+    Nothing   -> pure s+  where eq :: Typeable a => a -> Maybe (a :~: p)+        eq _ = eqT++-- | Give a 'DynamicPlot' a concrete 'PlotStyle'.+styleDynamic :: PlotStyle b v n -> DynamicPlot b v n -> StyledPlot b v n+styleDynamic sty (DynamicPlot (Plot p opts styF)) = StyledPlot p opts (styF sty)++-- | Render a 'StyledPlot' given an and 'AxisSpec'.+renderStyledPlot+  :: TypeableFloat n+  => AxisSpec V2 n+  -> StyledPlot b V2 n+  -> QDiagram b V2 n Any+renderStyledPlot aSpec (StyledPlot p opts sty)+  = renderPlotable aSpec sty p+      & whenever (opts^.hidden) phantom+      & whenever (opts^.clipPlot) (clipTo $ specRect aSpec)++specRect :: TypeableFloat n => AxisSpec V2 n -> Path V2 n+specRect aSpec =+  rect (xU - xL) (yU - yL)+    # moveTo (mkP2 ((xU+xL)/2) ((yU+yL)/2))+    # transform t+  where+  V2 (xL,xU) (yL,yU) = _specBounds aSpec+  t                   = _specTrans aSpec++-- | Get the legend rendered entries from a single styled plot. The+--   resulting entries are in no particular order. See also+--   'styledPlotLegends'.+singleStyledPlotLegend+  :: StyledPlot b v n+  -> [(n, QDiagram b v n Any, String)] -- ^ @(z-order, legend pic, legend text)@+singleStyledPlotLegend (StyledPlot p opts sty) =+  map mk (opts ^. legendEntries)+  where+    mk entry = (entry ^. legendPrecedence, pic, entry ^. legendText)+      where+        pic = case lPic entry of+                DefaultLegendPic  -> defLegendPic sty p+                CustomLegendPic f -> f sty++-- | Render a list of legend entries, in order.+styledPlotLegends+  :: Ord n+  => [StyledPlot b v n]+  -> [(QDiagram b v n Any, String)] -- ^ @[(legend pic, legend text)]@+styledPlotLegends+  = map (\(_,p,t) -> (p,t))+  . sortOn (view _1)+  . concatMap singleStyledPlotLegend+

@@ -0,0 +1,658 @@+{-# LANGUAGE DeriveDataTypeable    #-}+{-# LANGUAGE ViewPatterns          #-}+{-# LANGUAGE FlexibleContexts      #-}+{-# LANGUAGE FlexibleInstances     #-}+{-# LANGUAGE MultiParamTypeClasses #-}+{-# LANGUAGE RecordWildCards       #-}+{-# LANGUAGE TupleSections         #-}+{-# LANGUAGE TypeFamilies          #-}+{-# LANGUAGE UndecidableInstances  #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types.Bar+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- A bar plot is a plot that presents data with rectangular bars with+-- lengths proportional to the values that they represent. The bars can+-- be plotted vertically or horizontally.+--+-- <<diagrams/src_Plots_Types_Bar_multiBarExample.svg#diagram=multiBarExample&height=350>>+--+----------------------------------------------------------------------------+module Plots.Types.Bar+  (+    -- * BarPlot+    BarPlot+  , barPlot+  , barPlot'+  , namedBarPlot+  , namedBarPlot'+  , floatingBarPlot++    -- * Bar layout+  , BarLayout+  , HasBarLayout (..)++    -- * Multi bars+    -- ** Adding to axis+  , multiBars+  , MultiBarState++    -- ** Multi bar types+  , groupedBars+  , groupedBars'+  , stackedBars+  , stackedEqualBars+  , runningBars++    -- ** Modify multi bars+  , onBars+  , labelBars+++    -- * Low level constructors+  , mkBars+  , mkFloatingBars+  , mkRunningBars+  , mkStackedBars+  , mkStackedEqualBars+  , mkGroupedBars+  -- , barAxisLabels++  ) where++import           Control.Lens            hiding (at, none, transform, ( # ))+import           Control.Monad.State+import           Data.Typeable+import qualified Data.Foldable as F++import           Plots.Style+import           Plots.Types+import           Plots.Axis+import           Plots.Axis.Ticks+import           Plots.Axis.Labels+import           Plots.Util++import qualified Data.List               as List+import           Diagrams.Core.Transform (fromSymmetric)+import           Linear.V2               (_yx)++import           Diagrams.Prelude++-- Single bar ----------------------------------------------------------++-- | Data for a single bar. The bar is drawn as+--+-- @+-- fromCorners (V2 barPos (fst barBounds))) (V2 (barPos + barWidth) (snd barBounds))+-- @+--+--   for 'Horizontal' bars, flipped for 'Vertical'. This is a low level+--   representation of a bar and is not intended to be used directly.++-- | Construct a rectangle of size v with the bottom centre at point p.+rectB :: (InSpace V2 n t, TrailLike t) => Point V2 n -> V2 n -> t+rectB p (V2 x y) =+  trailLike $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p .-^ V2 (x/2) 0++------------------------------------------------------------------------+-- Bar layout+------------------------------------------------------------------------++-- | The way an individual bar plot or a group of bars plots are laid+--   out on the axis.+data BarLayout n = BarLayout+  { bOrient  :: Orientation+  , bWidth   :: n+  , bSpacing :: n+  , bStart   :: n+  } deriving Typeable++instance Fractional n => Default (BarLayout n) where+  def = BarLayout Horizontal 0.8 1 1++type instance N (BarLayout n) = n++instance HasOrientation (BarLayout n) where+  orientation = lens bOrient (\bl o -> bl {bOrient = o})++-- | Class of things that have a modifiable 'BarLayout'.+class HasOrientation a => HasBarLayout a where+  -- | Lens onto the 'BarLayout'+  barLayout :: Lens' a (BarLayout (N a))++  -- | The width bar for single / stacked bars or the width of a group+  --   for grouped bar plot.+  --+  --   Default is @0.8@+  barWidth :: Lens' a (N a)+  barWidth = barLayout . lens bWidth (\bl w -> bl {bWidth = w})++  -- | The spacing between each bar or group of bars.+  --+  --   Default is @1@+  barSpacing :: Lens' a (N a)+  barSpacing = barLayout . lens bSpacing (\bl s -> bl {bSpacing = s})++  -- | The distance from the axis to centre of the first bar.+  --+  --   Default is @1@+  barStart :: Lens' a (N a)+  barStart = barLayout . lens bStart (\bl x -> bl {bStart = x})++instance HasBarLayout (BarLayout n) where+  barLayout = id++instance HasBarLayout a => HasBarLayout (Plot a b) where+  barLayout = rawPlot . barLayout++------------------------------------------------------------------------+-- Bar plot type+------------------------------------------------------------------------++-- | A bar plot for a single set of bars. Multi-bar plots are achieved+--   by having multiple 'BarPlot's. Each bar plot corresponds to a+--   single legend entry. To get multiple bar entries/colours, use+--   multiple 'BarPlots'++--   A 'BarPlot' is not intended to be constructed directly, instead use+--   one of the helper functions.+data BarPlot n = BarPlot+  { bpData   :: [(n,n)]+  , bpLayout :: BarLayout n+  } deriving Typeable++type instance V (BarPlot n) = V2+type instance N (BarPlot n) = n++instance HasOrientation (BarPlot n) where+  orientation = barLayout . orientation++instance OrderedField n => Enveloped (BarPlot n) where+  getEnvelope BarPlot {..} =+    getEnvelope . orient bpLayout _reflectXY id . (id :: Path v n -> Path v n) $+      ifoldMap drawBar bpData+    where+      drawBar i (a,b) = rectB (mkP2 x a) (V2 (view barWidth bpLayout) (b - a))+        where x = view barStart bpLayout + fromIntegral i * view barSpacing bpLayout++instance (TypeableFloat n, Renderable (Path V2 n) b)+    => Plotable (BarPlot n) b where+  renderPlotable s sty BarPlot {..} =+    ifoldMap drawBar bpData+      # orient bpLayout _reflectXY id+      # applyAreaStyle sty+      # transform (s^.specTrans)+    where+      drawBar i (a,b) = rectB (mkP2 x a) (V2 (view barWidth bpLayout) (b - a))+        where x = view barStart bpLayout + fromIntegral i * view barSpacing bpLayout++  defLegendPic sty BarPlot {..}+    = centerXY+    . applyAreaStyle sty'+    . orient bpLayout _reflectXY id+    $ d+    where+      -- Multiple bars get two bars next to each other for the legend. A+      -- single bar only gets one bar in the legend.+      d | has (ix 1) bpData = alignB (rect 4 7) ||| strutX 3 ||| alignB (rect 4 10)+        | otherwise         = rect 4 10++      -- The legend bars don't look right if the line width is too big so we limit it+      sty' = sty & areaStyle . _lw %~ atMost (local 0.8)++instance HasBarLayout (BarPlot n) where+  barLayout = lens bpLayout (\bp l -> bp {bpLayout = l})++------------------------------------------------------------------------+-- Constructing bar plots+------------------------------------------------------------------------++-- | Create equidistant bars using the values.+mkBars :: (Foldable f, Num n) => BarLayout n -> f n -> BarPlot n+mkBars bl (F.toList -> ns) = mkFloatingBars bl (map (0,) ns)++-- | Create equidistant bars with lower and upper bounds for each bar.+mkFloatingBars :: Foldable f => BarLayout n -> f (n,n) -> BarPlot n+mkFloatingBars bl (F.toList -> ns) = BarPlot+  { bpData   = ns+  , bpLayout = bl+  }++-- | Create uniform bars from groups of data, placing one group after+--   the other.+mkRunningBars+  :: Num n+  => BarLayout n+  -> [[(n,n)]]+  -> [BarPlot n]+mkRunningBars bl = snd . foldr f (view barStart bl, [])+  where+    f d (x, bs) = (x + dx, mkFloatingBars bl {bStart = x} d : bs)+      where dx = view barSpacing bl * fromIntegral (length d)++-- | Create uniform bars from groups of data, placing one on top of the+--   other. The first list will be the same as @mkUniformBars opts (map+--   (0,) ys)@, subsequent lists will be placed on top.+mkStackedBars+  :: Num n+  => BarLayout n+  -> [[n]] -- values+  -> [BarPlot n]+mkStackedBars bl = snd . List.mapAccumR f (repeat 0)+  where+    -- y0s are the base values for this set of bars, these accumulate+    -- for each set of data+    f y0s ys = (y1s, mkFloatingBars bl ds)+      where y1s  = liftU2 (+) y0s ys+            ds   = zipWith (\y0 y -> (y0, y0 + y)) y0s ys++-- | Similar to 'mkMultiStacked' but stack has the same height.+mkStackedEqualBars+  :: Fractional n+  => n     -- ^ value each bar reaches+  -> BarLayout n+  -> [[n]] -- ^ values+  -> [BarPlot n]+mkStackedEqualBars yM bl yss = mkStackedBars bl yss'+  where+    -- Multiplier for each bar to reach the desired height.+    ms = map (\ys -> yM / sum ys) $ List.transpose yss++    -- Normalise each data set by multiplying it with the normalising+    -- factor.+    yss' = map (zipWith (*) ms) yss++-- | Make bars that are grouped together. Each group of bars is treated+--   as a single bar when using the 'BarPlotsOpts'. There is an addition+--   parameter to adjust the width of each individual bar.+mkGroupedBars+  :: Fractional n+  => n -- ^ width factor of individual bars (1 = touching)+  -> BarLayout n+  -> [[n]]+  -> [BarPlot n]+mkGroupedBars w bl xs =+  flip imap xs $ \i ns ->+    mkBars+      bl { bStart = start' + width' * fromIntegral i+         , bWidth = width' * w+         }+      ns+  where+    n = fromIntegral $ length xs+    -- start' is such that middle of the middle bar is now at+    -- barOptsStart bo+    start' = bStart bl - (n - 1) * width' / 2+    width' = bWidth bl / n++-- temporary functions that will be in next lib release++_reflectionXY :: (Additive v, R2 v, Num n) => Transformation v n+_reflectionXY = fromSymmetric $ (_xy %~ view _yx) <-> (_xy %~ view _yx)++_reflectXY :: (InSpace v n t, R2 v, Transformable t) => t -> t+_reflectXY = transform _reflectionXY++----------------------------------------------------------------------------------+-- Single bar state API+----------------------------------------------------------------------------------++-- | A add 'BarPlot' to an 'Axis'.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_barExample.svg#diagram=barExample&height=400>>+--+-- > import Plots+-- > barAxis :: Axis B V2 Double+-- > barAxis = r2Axis &~ do+-- >   yMin ?= 0+-- >   hide majorGridLines+-- >   barPlot [13.5, 3.0, 6.9, 7.2, 4.6] $ do+-- >     vertical .= True+-- >     barWidth //= 2+--+-- > barExample = renderAxis barAxis+barPlot+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f)+  => f n                           -- ^ bar heights+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars+  -> m ()                          -- ^ changes to the 'Axis'+barPlot ns = addPlotable (mkBars def ns)++-- | Simple version of 'barPlot' without any modification to the 'Plot'.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_barExample'.svg#diagram=barExample'&height=400>>+--+-- > import Plots+-- > barAxis' :: Axis B V2 Double+-- > barAxis' = r2Axis &~ do+-- >   xMin ?= 0+-- >   hide (yAxis . majorGridLines)+-- >   barPlot' [13.5, 3.0, 6.9, 7.2, 4.6]+--+-- > barExample' = renderAxis barAxis'+barPlot'+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f)+  => f n  -- ^ bar heights+  -> m () -- ^ changes to the 'Axis'+barPlot' ns = addPlotable' (mkBars def ns)++-- | A add 'BarPlot' to an 'Axis' while naming the bars.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_namedBarExample.svg#diagram=namedBarExample&height=400>>+--+-- > import Plots+-- > namedBarAxis :: Axis B V2 Double+-- > namedBarAxis = r2Axis &~ do+-- >   yMin ?= 0+-- >   hide (xAxis . majorGridLines)+-- >   namedBarPlot [("eggs", 12), ("bacon", 5), ("sausage", 9), ("beans", 3)] $ do+-- >     vertical .= True+-- >     barWidth //= 2+-- >+-- > namedBarExample = renderAxis namedBarAxis+namedBarPlot+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f)+  => f (String,n)                  -- ^ bar heights with name+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars+  -> m ()                          -- ^ changes to the 'Axis'+namedBarPlot d s = do+  addPlot bp+  barLayoutAxisLabels (bp ^. barLayout) nms+  where+    (nms, xs) = unzip $ F.toList d+    bp = mkPlot (mkBars def xs) & execState s++-- | Simple version of 'namedBarPlot' without any modification to the 'Plot'.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_namedBarExample'.svg#diagram=namedBarExample'&height=400>>+--+-- > import Plots+-- > namedBarAxis' :: Axis B V2 Double+-- > namedBarAxis' = r2Axis &~ do+-- >   xMin ?= 0+-- >   hide majorGridLines+-- >   namedBarPlot' [("eggs", 12), ("bacon", 5), ("sausage", 9), ("beans", 3)]+--+-- > namedBarExample' = renderAxis namedBarAxis'+namedBarPlot'+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f)+  => f (String,n)  -- ^ bar heights with name+  -> m ()          -- ^ add plot to the 'Axis'+namedBarPlot' ns = namedBarPlot ns (return ())++-- | Same as 'barPlot' but with lower and upper bounds for the bars.+floatingBarPlot+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f)+  => f (n,n) -- ^ bar limits+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars+  -> m ()+floatingBarPlot ns = addPlotable (mkFloatingBars def ns)++------------------------------------------------------------------------+-- Multi bar state API+------------------------------------------------------------------------++-- Multi bar state -----------------------------------------------------++-- | The 'MultiBarState' is used to set the various options available+--   when building multiple bar plots together. The main functions used+--   to modify this state:+--+--   * To choose the way the bars are grouped together choose one of+--+--       * 'groupedBars'      - Together in grouped (the default)+--       * 'stackedBars'      - On on top of another+--       * 'stackedEqualBars' - 'stackedBars' with the same height+--       * 'runningBars'      - each group of bars follows the last+--+--   * Modify the 'PlotOptions' and 'PlotStyle' of groups of bars with+--     'onBars'.+--+--   * Modify the layout of the (groups of) bars with+--+--       * 'orientation' - Horizontal or vertical bars+--       * 'barWidth'    - Width of each (group of) bar(s)+--       * 'barSpacing'  - Space between each (group of) bar(s)+--       * 'barStart'    - Start of centre of first bar+--+--   * Add labels to each (group of) bars with 'labelBars'.+--+data MultiBarState b n a = MultiBarState+  { mbsLayout :: BarLayout n+    -- ^ options for building bar plots++  , mbsMods :: [(a, Endo (PlotMods b V2 n))]+    -- ^ the data along with an adjustment to the plot properties++  , mbsLabels  :: [String]+    -- ^ labels to be placed at the bottom of each bar++  , mbsBarFun :: BarLayout n -> [[n]] -> [BarPlot n]+    -- ^ function used to build bar plots+  }++type instance N (MultiBarState b n a) = n++instance HasOrientation (MultiBarState b n a) where+  orientation = barLayout . orientation++instance HasBarLayout (MultiBarState b n a) where+  barLayout = lens mbsLayout (\mbs l -> mbs {mbsLayout = l})++-- > import Plots+--+-- > groupedExample s = r2Axis &~ do+-- >   yMin ?= 0+-- >   hide (xAxis . majorGridLines)+-- >   xLabel .= "breakfast item"+-- >   hide minorTicks+-- >   multiBars sortedData snd $ do+-- >     vertical .= True+-- >     barWidth //= 2+-- >     labelBars (map fst breakfastData)+-- >     onBars $ \(nm,_) -> key nm+-- >     s+-- >+-- >   -- show y values without decimal point+-- >   yAxis . tickLabelFunction .= atMajorTicks (show . round)+-- >   -- we should really force all major ticks to like on integers too+--+-- > groupedBarsExample  = renderAxis $ groupedExample groupedBars+-- > groupedBarsExample' = renderAxis $ groupedExample (groupedBars' 0.7)+-- > stackedBarsExample  = renderAxis $ groupedExample  stackedBars+-- > stackedEqualBarsExample = renderAxis $ groupedExample (stackedEqualBars 10)+-- > runningBarsExample  = renderAxis $ groupedExample $ do+-- >   runningBars+-- >   labelBars (map fst breakfastData ++ map fst breakfastData)++-- Adding to axis ------------------------------------------------------++multiFun :: Lens' (MultiBarState b n a) (BarLayout n -> [[n]] -> [BarPlot n])+multiFun = lens mbsBarFun (\mbs f -> mbs {mbsBarFun = f})++-- | Bars that are grouped together such that each group is a single+--   'barWidth'. The bars in a group are touching, see groupedBars' to+--   reduce the width of individual bars.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_groupedBarsExample.svg#diagram=groupedBarsExample&height=400>>++groupedBars :: Fractional n => State (MultiBarState b n a) ()+groupedBars = groupedBars' 1++-- | Bars that are grouped together such that each group is a single+--   'barWidth'. The parameter is the multiplier for the width of+--   individual bars, where @'groupedBars' 1 = groupedBars@ corresponds+--   to bars in a group touching. reduce the width of individual bars.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_groupedBarsExample'.svg#diagram=groupedBarsExample'&height=400>>+--+groupedBars' :: Fractional n => n -> State (MultiBarState b n a) ()+groupedBars' n = multiFun .= mkGroupedBars n++-- | Bars stacked on top of each other.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_stackedBarsExample.svg#diagram=stackedBarsExample&height=400>>+--+stackedBars :: Num n => State (MultiBarState b n a) ()+stackedBars = multiFun .= mkStackedBars++-- | Bars stacked on top of each other where every bar is the given+--   height.+--+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_stackedEqualBarsExample.svg#diagram=stackedEqualBarsExample&height=400>>+--+stackedEqualBars :: Fractional n => n -> State (MultiBarState b n a) ()+stackedEqualBars n = multiFun .= mkStackedEqualBars n++-- | Normal 'bars' where each data set follows the last.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_runningBarsExample.svg#diagram=runningBarsExample&height=400>>+--+runningBars :: Num n => State (MultiBarState b n a) ()+runningBars = multiFun .= \l xs -> mkRunningBars l (map (map (0,)) xs)++-- | Construct multiple bars, grouped together. See 'MultiBarState' for+--   details on how to customise how the bars are drawn.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Bar_multiBarExample.svg#diagram=multiBarExample&height=400>>+--+-- > import Plots+-- > breakfastData :: [(String, V2 Double)]+-- > breakfastData = [("eggs", V2 7 5), ("bacon", V2 5 4), ("sausage", V2 2 7), ("beans", V2 2 1)]+--+-- > sortedData = [ ("girls", breakfastData^..each._2._x)+-- >              , ("boys",  breakfastData^..each._2._y)+-- >              ]+--+-- > multiBarAxis :: Axis B V2 Double+-- > multiBarAxis = r2Axis &~ do+-- >   yMin ?= 0+-- >   hide (xAxis . majorGridLines)+-- >   hide minorTicks+-- >   xLabel .= "breakfast item"+-- >   multiBars sortedData snd $ do+-- >     vertical .= True+-- >     barWidth //= 2+-- >     labelBars (map fst breakfastData)+-- >     onBars $ \(nm,_) -> key nm+-- >+-- >   -- show y values without decimal point+-- >   yAxis . tickLabelFunction .= atMajorTicks (show . round)+-- >   -- we should really force all major ticks to like on integers too+--+-- > multiBarExample = renderAxis multiBarAxis+multiBars+  :: (MonadState (Axis b V2 n) m,+      Plotable (BarPlot n) b,+      Foldable f,+      Foldable g)+  => f a                            -- ^ data for multi plot+  -> (a -> g n)                     -- ^ extract bar heights from each data set+  -> State (MultiBarState b n a) () -- ^ state to make changes to the plot+  -> m ()                           -- ^ changes to the 'Axis'+multiBars (F.toList -> as) f st = do+  -- add the plots+  F.forM_ propertiedBars $ \(b,endo) ->+    addPlotable b $ plotMods %= appEndo endo++  -- label bars on axis if necessary+  barLayoutAxisLabels (bs ^. barLayout) (bs ^. labels)+  where+    -- bars+    propertiedBars = zip barPlots endos+    barPlots = mbsBarFun bs (bs ^. barLayout) $ map (F.toList . f) as++    -- data and modifiers+    endos = mbsMods bs ^.. each . _2++    -- bar state+    bs  = execState st bs0+    bs0 = MultiBarState+      { mbsLayout = def+      , mbsMods   = map (\a -> (a, mempty)) as+      , mbsLabels = []+      , mbsBarFun = mkGroupedBars 1+      }++-- | Place labels under the centre of each bar using the 'BarLayout' by+--   changing that 'axisTickLabels', using the provided string in order.+barLayoutAxisLabels+  :: (MonadState (Axis b V2 n) m, Fractional n)+  => BarLayout n -> [String] -> m ()+barLayoutAxisLabels bl ls =+  unless (null ls) $+    axes . orient bl _y _x &= do+      majorTickPositions  .= xs+      minorTicks . visible .= False+      tickLabelPositions   .= zip xs ls+  where+    xs = map ((+ view barStart bl) . (* view barSpacing bl) . fromIntegral)+             [0 .. length ls - 1]++-- | Given the data for the bar, modify the properties for the bar that+--   uses that data.+--+--   Some common functions to use on the 'PlotMods':+--+--       * 'plotColour' - change the colour of the bars+--+--       * 'areaStyle' - modify the style of the bars+--+--       * 'key' - add a legend entry for that group of bars+--+onBars+  :: (a -> State (PlotMods b V2 n) ())+     -- ^ Modifier the 'PlotOptions' and 'PlotStyle' for the bars+     -- associated with the data from @a@.++  -> State (MultiBarState b n a) ()+     -- ^ Changes to each data set when executing 'multiBars'.+onBars f =+  mods . mapped %= \(a, endo) -> (a, endo <> Endo (execState (f a)))+  where mods = lens mbsMods (\bs d -> bs {mbsMods = d})++class HasLabels a where+  labels :: Lens' a [String]++instance HasLabels (MultiBarState b n a) where+  labels = lens mbsLabels (\mbs ls -> mbs {mbsLabels = ls})++-- | Labels to use for each bar (or group of bars) along the axis.+labelBars :: HasLabels a => [String] -> State a ()+labelBars xs = labels .= xs

@@ -0,0 +1,598 @@+{-# LANGUAGE BangPatterns           #-}+{-# LANGUAGE DeriveDataTypeable     #-}+{-# LANGUAGE FlexibleContexts       #-}+{-# LANGUAGE FlexibleInstances      #-}+{-# LANGUAGE FunctionalDependencies #-}+{-# LANGUAGE MultiParamTypeClasses  #-}+{-# LANGUAGE RecordWildCards        #-}+{-# LANGUAGE TemplateHaskell        #-}+{-# LANGUAGE TypeFamilies           #-}+{-# LANGUAGE UndecidableInstances   #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types.HeatMap+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- A heat map is a graphical representation of data where the individual+-- values contained in a matrix are represented as colours.+--+-- <<diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample.svg#diagram=heatMapIndexedExample&height=350>>+--+----------------------------------------------------------------------------++module Plots.Types.HeatMap+  ( -- * Heat map+    HeatMap+  , heatMap+  , heatMap'+  , heatMapIndexed+  , heatMapIndexed'++  -- * Lenses+  , HasHeatMap (..)++  -- ** Rendering functions+  , pathHeatRender+  , pixelHeatRender+  , pixelHeatRender'++  -- * Heat matrix+  , HeatMatrix+  , heatImage+  , hmPoints+  , hmSize++  -- * Low level construction+  , mkHeatMap+  , mkHeatMatrix+  , mkHeatMatrix'++  ) where++import           Control.Lens                    hiding (transform, ( # ))+import qualified Data.Colour                     as C++import           Control.Monad.ST+import           Control.Monad.State+import qualified Data.Foldable                   as F+import           Data.Typeable+import qualified Data.Vector.Generic.Mutable     as M+import qualified Data.Vector.Storable            as S+import qualified Data.Vector.Unboxed             as V+import           Data.Word                       (Word8)+import           Statistics.Function             (minMax)++import           Codec.Picture+import           Diagrams.Coordinates.Isomorphic+import           Diagrams.Prelude++import           Plots.Axis+import           Plots.Style+import           Plots.Types++------------------------------------------------------------------------+-- Heatmap+------------------------------------------------------------------------++-- | 2D Array of 'Double's.+data HeatMatrix = HeatMatrix+  { hmSize       :: {-# UNPACK #-} !(V2 Int)+    -- ^ The size of heat matrix.+  , _hmVector    :: {-# UNPACK #-} !(Vector Double)+  , hmBoundLower :: {-# UNPACK #-} !Double+  , hmBoundUpper :: {-# UNPACK #-} !Double+  }++-- | Construct a heat matrix from a size and a generating function.+mkHeatMatrix :: V2 Int -> (V2 Int -> Double) -> HeatMatrix+mkHeatMatrix s@(V2 x y) f = runST $ do+  mv <- M.new (x*y)++  let go !q !a !b !i !j+        | j == y    = do v <- V.unsafeFreeze mv+                         return (HeatMatrix s v a b)+        | i == x    = go q a b 0 (j + 1)+        | otherwise = do let !d = f (V2 i j)+                         M.unsafeWrite mv q d+                         go (q + 1) (min a d) (max b d) (i + 1) j++  go 0 (1/0) (-1/0) 0 0+{-# INLINE mkHeatMatrix #-}++-- | Construct a heat matrix from a foldable of foldables.+--+-- @+-- 'mkHeatMatrix'' :: [['Double']] -> 'HeatMatrix'+-- 'mkHeatMatrix'' :: ['Vector' 'Double'] -> 'HeatMatrix'+-- @+mkHeatMatrix' :: (Foldable f, Foldable g) => f (g Double) -> HeatMatrix+mkHeatMatrix' xss = HeatMatrix (V2 x y) vd a b+  where+  (a,b) = minMax vd+  vd = V.create $ do+    mv <- M.new (x*y)+    let go !_ []     = return mv+        go  j (r:rs) = V.unsafeCopy (M.unsafeSlice (j*x) x mv) r >> go (j-1) rs+    go (y - 1) vs+  -- vs is in reverse since we used foldl' to build it+  (!x,!y,!vs) = F.foldl' f (maxBound,0,[]) xss+  f (!i,!j,!ss) xs = let !v = V.fromList (F.toList xs)+                     in  (min i (V.length v), j+1, v : ss)++-- | Indexed traversal over the values of a 'HeatMatrix'.+hmPoints :: IndexedTraversal' (V2 Int) HeatMatrix Double+hmPoints f (HeatMatrix e@(V2 x y) v a b) =+  go 0 0 0 <&> \vs ->+    let v'= V.fromListN (x*y) vs+    in  HeatMatrix e v' a b+  where+    -- V2 x y = hmExtent+    go !s !i !j+      | i >= x    = go s 0 (j+1)+      | j >= y    = pure []+      | otherwise = (:) <$> indexed f (V2 i j) (V.unsafeIndex v s)+                        <*> go (s+1) (i+1) j+{-# INLINE [0] hmPoints #-}++{-# RULES+  "hmPoints/foldr"+  hmPoints = ifoldring hmFold :: Getting (Endo r) HeatMatrix Double;+  "hmPoints/ifoldr"+  hmPoints = ifoldring hmFold :: IndexedGetting (V2 Int) (Endo r) HeatMatrix Double+ #-}++hmFold :: (V2 Int -> Double -> b -> b) -> b -> HeatMatrix -> b+hmFold f b0 (HeatMatrix (V2 x y) v _ _) = go 0 0 0 b0 where+  go !s !i !j b+    | i >= x    = go s 0 (j+1) b+    | j >= y    = b+    | otherwise = f (V2 i j) (V.unsafeIndex v s) (go (s+1) (i+1) j b)+{-# INLINE hmFold #-}++-- Rendering heat matrices --------------------------------------------++-- | Render an heatmap as an 'ImageRGB8'.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_pixelHeatRenderExample.svg#diagram=pixelHeatRenderExample&height=350>>+--+-- > import Plots+-- >+-- > pixelHeatRenderExample =+-- >   let f (V2 x y) = fromIntegral x + fromIntegral y+-- >       myHM       = mkHeatMatrix (V2 5 5) f+-- >   in  pixelHeatRender myHM viridis+--+pixelHeatRender+  :: (Renderable (DImage n Embedded) b, TypeableFloat n)+  => HeatMatrix+  -> ColourMap+  -> QDiagram b V2 n Any+pixelHeatRender hm cm =+  alignBL . image $ DImage (ImageRaster (ImageRGB8 img)) x y mempty+  where+    img    = heatImage hm cm+    V2 x y = hmSize hm++-- | Render an heatmap as an 'ImageRGB8' with @n@ pixels per heat matrix+--   point.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_pixelHeatRenderExample'.svg#diagram=pixelHeatRenderExample'&height=350>>+--+-- > import Plots+-- >+-- > pixelHeatRenderExample' =+-- >   let f (V2 x y) = fromIntegral x + fromIntegral y+-- >       myHM       = mkHeatMatrix (V2 5 5) f+-- >   in  pixelHeatRender' 10 myHM viridis+--+pixelHeatRender'+  :: (Renderable (DImage n Embedded) b, TypeableFloat n)+  => Int+  -> HeatMatrix+  -> ColourMap+  -> QDiagram b V2 n Any+pixelHeatRender' n hm cm =+  scale (1/fromIntegral n) . alignBL . image $ DImage (ImageRaster (ImageRGB8 img)) (x*n) (y*n) mempty+  where+    img    = scaleImage n $ heatImage hm cm+    V2 x y = hmSize hm++-- | Scale an image so each pixel takes (n*n) pixels. This can be+--   usefull for using 'heatImage' on small heat matrixes to give a+--   sharper image.+scaleImage :: Int -> Image PixelRGB8 -> Image PixelRGB8+scaleImage n img | n == 1  = img+                 | n == 0  = Image 0 0 S.empty+                 | n <  0  = error "scaleImage: negative scale"+scaleImage n (Image x y v) = Image (n*x) (n*y) vn where+  !refV = V.fromList $ map (*3) [ i + n*x*j | i <- [0..n-1], j <- [0..n-1] ]+  !n3 = 3*n+  vn = S.create $ do+    mv <- M.new (n * n * S.length v)+    let go !q !i !s | q >= 3*x*y = return mv+                    | i == x     = go q 0 (s + 3*x*n*(n-1))+        go  q  i  s              = do+          let !r = S.unsafeIndex v  q+              !g = S.unsafeIndex v (q+1)+              !b = S.unsafeIndex v (q+2)+          V.forM_ refV $ \ds -> do+            M.unsafeWrite mv (s + ds    ) r+            M.unsafeWrite mv (s + ds + 1) g+            M.unsafeWrite mv (s + ds + 2) b+          go (q+3) (i+1) (s+n3)++    go 0 0 0++-- | Create an image of 'PixelsRGB8' using the heat matrix.+heatImage :: HeatMatrix -> ColourMap -> Image PixelRGB8+heatImage (HeatMatrix (V2 x y) dv a b) cm = Image x y v' where+  !cv = mkColourVector cm++  -- PixelRGB8 doesn't have an unboxed instance so we have to write each+  -- component manually.+  v' = S.create $ do+    mv <- M.new (3 * x * y)+    let !m = 256 / (b - a)+        go s i q+          | s == x-1  = do -- return mv+              let !d = V.unsafeIndex dv s+              let !o = 3 * (min 255 . max 0 . round $ (d - a) * m)+              M.unsafeWrite mv  q    (V.unsafeIndex cv  o   )+              M.unsafeWrite mv (q+1) (V.unsafeIndex cv (o+1))+              M.unsafeWrite mv (q+2) (V.unsafeIndex cv (o+2))+              return mv+              -- go (s+1) (i+1) (q+3)+          | i == x    = go (s - 2*x) 0 q+          | otherwise = do+              let !d = V.unsafeIndex dv s+              let !o = 3 * (min 255 . max 0 . round $ (d - a) * m)+              M.unsafeWrite mv  q    (V.unsafeIndex cv  o   )+              M.unsafeWrite mv (q+1) (V.unsafeIndex cv (o+1))+              M.unsafeWrite mv (q+2) (V.unsafeIndex cv (o+2))+              go (s+1) (i+1) (q+3)+    go (x * (y-1)) 0 0++-- Make an unboxed colour map using 256 samples.+mkColourVector :: ColourMap -> Vector Word8+mkColourVector cm = V.create $ do+  mv <- M.new (3*256)++  let go i | i == 3*256 = return mv+           | otherwise  = do+               let PixelRGB8 r g b = cm ^. ixColour (fromIntegral i / (3*256))+                                         . to colourToPixel+               M.unsafeWrite mv  i    r+               M.unsafeWrite mv (i+1) g+               M.unsafeWrite mv (i+2) b+               go (i+3)++  go 0++colourToPixel :: AlphaColour Double -> PixelRGB8+colourToPixel c = PixelRGB8 r g b+  where RGB r g b = toSRGB24 (c `C.over` black)++-- | Render the heat map as a collection squares made up of 'Trail's.+--   This method is compatible with all backends and should always look+--   sharp. However it can become slow and large for large heat maps.+--+--   It is recommended to use 'pathHeatRender' for small heat maps and+--   'pixelHeatRender' for larger ones.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_pathHeatRenderExample.svg#diagram=pathHeatRenderExample&height=350>>+--+-- > import Plots+-- >+-- > pathHeatRenderExample =+-- >   let f (V2 x y) = fromIntegral x + fromIntegral y+-- >       myHM       = mkHeatMatrix (V2 5 5) f+-- >   in  pathHeatRender myHM viridis+--+pathHeatRender+  :: (Renderable (Path V2 n) b, TypeableFloat n)+  => HeatMatrix+  -> ColourMap+  -> QDiagram b V2 n Any+pathHeatRender hm@(HeatMatrix _ _ a b) cm = ifoldMapOf hmPoints mk hm # lwO 0+  where+    normalise d = toRational $ (d - a) / (b - a)+    mk v@(V2 i j) d =+      rect w h+        # alignTR+        # translate (fromIntegral <$> v ^+^ 1)+        # fcA (cm ^. ixColour (normalise d))+      where+        -- Squares that are not on the top left edge are slightly+        -- bigger to remove phantom gaps+        w | i == 0    = 1+          | otherwise = 1.5+        h | j == 0    = 1+          | otherwise = 1.5++------------------------------------------------------------------------+-- Heat matrix+------------------------------------------------------------------------++-- | A mapping from points in a 2D axis do 'Double's. These 'Double's+--   are converted to colours using the axis 'ColourMap'.+data HeatMap b n = HeatMap+  { hMatrix      :: HeatMatrix+  , hStart       :: P2 n+  , hSize        :: V2 n+  , hGridSty     :: Style V2 n+  , hGridVisible :: Bool+  , hLimits      :: Maybe (Double,Double)+  , hDraw        :: HeatMatrix -> ColourMap -> QDiagram b V2 n Any+  } deriving Typeable++type instance V (HeatMap b n) = V2+type instance N (HeatMap b n) = n++-- | Class of things that let you change the heatmap options.+class HasHeatMap f a b | a -> b where+  -- | Lens onto the heatmap options.+  heatMapOptions :: LensLike' f a (HeatMap b (N a))++  -- | Whether there should be grid lines draw for the heat map.+  --+  --   Default is 'False'.+  heatMapGridVisible :: Functor f => LensLike' f a Bool+  heatMapGridVisible = heatMapOptions . lens hGridVisible (\s b -> (s {hGridVisible = b}))++  -- | The style applied to the grid lines for the heat map, if they're+  --   visible.+  --+  --   Default is 'mempty'.+  heatMapGridStyle :: Functor f => LensLike' f a (Style V2 (N a))+  heatMapGridStyle = heatMapOptions . lens hGridSty (\s b -> (s {hGridSty = b}))++  -- | The size of each individual square in the heat map.+  --+  --   Default is @'V2' 1 1@.+  heatMapSize :: Functor f => LensLike' f a (V2 (N a))+  heatMapSize = heatMapOptions . lens hSize (\s b -> (s {hSize = b}))++  -- | The size of the full extend of the heat map.+  --+  --   Default is extent of the heat matrix.+  heatMapExtent :: (Functor f, Fractional (N a)) => LensLike' f a (V2 (N a))+  heatMapExtent = heatMapOptions . l where+    l f hm = f (hSize hm * s) <&> \x -> hm { hSize = x / s }+      where s = fmap fromIntegral (hmSize $ hMatrix hm)++  -- | The starting point at the bottom left corner of the heat map.+  --+  --   Default is 'origin'+  heatMapStart :: Functor f => LensLike' f a (P2 (N a))+  heatMapStart = heatMapOptions . lens hStart (\s b -> (s {hStart = b}))++  -- | The center point of the heat map.+  heatMapCentre :: (Functor f, Fractional (N a)) => LensLike' f a (P2 (N a))+  heatMapCentre = heatMapOptions . l where+    l f hm = f (hStart hm .+^ v) <&> \p -> hm { hStart = p .-^ v }+      where v = fmap fromIntegral (hmSize $ hMatrix hm) * hSize hm / 2++  -- | Limits @(a,b)@ used on the data such that @a@ is the start of the+  --   'ColourMap' and @b@ is the end of the 'ColourMap'. Default is @(0,1)@.+  heatMapLimits :: Functor f => LensLike' f a (Maybe (Double, Double))+  heatMapLimits = heatMapOptions . lens hLimits (\s b -> (s {hLimits = b}))++  -- | Funtion used to render the heat map. See 'pathHeatRender' and+  --   'pixelHeatRender'.+  --+  --   Default is 'pathHeatRender'.+  heatMapRender :: Functor f => LensLike' f a (HeatMatrix -> ColourMap -> QDiagram b V2 (N a) Any)+  heatMapRender = heatMapOptions . lens hDraw (\s b -> (s {hDraw = b}))++instance HasHeatMap f (HeatMap b n) b where+  heatMapOptions = id++instance (Functor f, HasHeatMap f a b) => HasHeatMap f (Plot a b) b where+  heatMapOptions = rawPlot . heatMapOptions++instance OrderedField n => Enveloped (HeatMap b n) where+  getEnvelope hm = getEnvelope (fromCorners p (p .+^ v))+    where p = view heatMapStart hm+          v = view heatMapExtent hm++instance (Typeable b, TypeableFloat n, Renderable (Path V2 n) b)+    => Plotable (HeatMap b n) b where+  renderPlotable s _sty HeatMap {..} =+      transform (s^.specTrans) $+        grid <> hDraw matrix' (s^.specColourMap)+                  # transform (scaleV hSize)+                  # moveTo hStart+    where+      --- TODO+      grid = mempty++      --- XXX need to give _range to the axis somehow (for colour bar range)+      matrix' = case hLimits of+        -- Just r@(a,b) -> (r, hMatrix { hmFun = (/ (b - a)) . (+a) . hmFun hMatrix })+        -- Nothing      -> normaliseHeatMatrix hMatrix+        Just (a,b) -> hMatrix { hmBoundLower = a, hmBoundUpper = b }+        Nothing     -> hMatrix++  -- XXX make better+  defLegendPic sty HeatMap {..} = square 5 # applyAreaStyle sty++scaleV :: (Additive v, Fractional n) => v n -> Transformation v n+scaleV v = fromLinear f f+  where f = (liftU2 (*) v) <-> (\u -> liftU2 (/) u v)++-- | Construct a 'Heatmap' using the given 'HeatMatrix'.+mkHeatMap :: (Renderable (Path V2 n) b, TypeableFloat n)+          => HeatMatrix -> HeatMap b n+mkHeatMap mat = HeatMap+  { hMatrix      = mat+  , hStart       = origin+  , hSize        = V2 1 1+  , hGridSty     = mempty+  , hGridVisible = False+  , hLimits      = Nothing+  , hDraw        = pathHeatRender+  }++-- Adding to axis ------------------------------------------------------++-- | Add a 'HeatMap' plot using the extent of the heatmap and a+--   generating function.+--+-- @+-- 'heatMap' :: [['Double']] -> 'State' ('Plot' ('HeatMap' b n)) () -> 'State' ('Axis' b 'V2' n) ()+-- @+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_heatMapExample.svg#diagram=heatMapExample&height=350>>+--+-- > import Plots+-- > heatMapAxis :: Axis B V2 Double+-- > heatMapAxis = r2Axis &~ do+-- >   display colourBar+-- >   axisExtend .= noExtend+-- >+-- >   let xs = [[1,2,3],[4,5,6]]+-- >   heatMap xs $ heatMapSize .= V2 10 10+--+-- > heatMapExample = renderAxis heatMapAxis+--+heatMap+  :: (Foldable f,+      Foldable g,+      TypeableFloat n,+      Typeable b,+      MonadState (Axis b V2 n) m,+      Renderable (Path V2 n) b)+  => f (g Double)+  -> State (Plot (HeatMap b n) b) ()+                   -- ^ changes to plot options+  -> m ()          -- ^ add plot to 'Axis'+heatMap xss s = do+  let hm@(HeatMatrix _ _ a b) = mkHeatMatrix' xss+  addPlotable (mkHeatMap hm) s++  -- (don't like this way of doing it)+  colourBarRange .= over both realToFrac (a,b)++-- | Add a 'HeatMap' plot using the extent of the heatmap and a+--   generating function.+--+-- @+-- 'heatMap'' :: [['Double']] -> 'State' ('Axis' b 'V2' n) ()+-- @+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_heatMapExample'.svg#diagram=heatMapExample'&height=350>>+--+-- > import Plots+-- > heatMapAxis' :: Axis B V2 Double+-- > heatMapAxis' = r2Axis &~ do+-- >   display colourBar+-- >   axisExtend .= noExtend+-- >   axisColourMap .= Plots.magma+-- >+-- >   let xs = [[1,2,3],[4,5,6]]+-- >   heatMap' xs+--+-- > heatMapExample' = renderAxis heatMapAxis'+--+heatMap'+  :: (Foldable f,+      Foldable g,+      TypeableFloat n,+      Typeable b,+      MonadState (Axis b V2 n) m,+      Renderable (Path V2 n) b)+  => f (g Double)+  -> m ()          -- ^ add plot to 'Axis'+heatMap' xss = heatMap xss (return ())++-- | Add a 'HeatMap' plot using the extent of the heatmap and a+--   generating function.+--+-- @+-- 'heatMapIndexed' :: 'V2' 'Int'     -> ('V2' 'Int' -> 'Double')     -> 'State' ('Plot' ('HeatMap' b n)) () -> 'State' ('Axis' b 'V2' n) ()+-- 'heatMapIndexed' :: ('Int', 'Int') -> (('Int', 'Int') -> 'Double') -> 'State' ('Plot' ('HeatMap' b n)) () -> 'State' ('Axis' b 'V2' n) ()+-- @+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample.svg#diagram=heatMapIndexedExample&height=350>>+--+-- > import Plots+-- > heatMapIndexedAxis :: Axis B V2 Double+-- > heatMapIndexedAxis = r2Axis &~ do+-- >   display colourBar+-- >   axisExtend .= noExtend+-- >+-- >   let f (V2 x y) = fromIntegral x + fromIntegral y+-- >   heatMapIndexed (V2 3 3) f $ heatMapSize .= V2 10 10+--+-- > heatMapIndexedExample = renderAxis heatMapIndexedAxis+--+heatMapIndexed+  :: (VectorLike V2 Int i,+      TypeableFloat n,+      Typeable b,+      MonadState (Axis b V2 n) m,+      Renderable (Path V2 n) b)+  => i             -- ^ extent of array+  -> (i -> Double) -- ^ heat from index+  -> State (Plot (HeatMap b n) b) ()+                   -- ^ changes to plot options+  -> m ()          -- ^ add plot to 'Axis'+heatMapIndexed i f s = do+  let hm@(HeatMatrix _ _ a b) = mkHeatMatrix (view unvectorLike i) (f . view vectorLike)+  addPlotable (mkHeatMap hm) s++  -- (don't like this way of doing it)+  colourBarRange .= over both realToFrac (a,b)++-- | Add a 'HeatMap' plot using the extent of the heatmap and a+-- generating function without changes to the heap map options.+--+-- @+-- 'heatMapIndexed' :: 'V2' 'Int'     -> ('V2' 'Int' -> 'Double')     -> 'State' ('Axis' b 'V2' n) ()+-- 'heatMapIndexed' :: ('Int', 'Int') -> (('Int', 'Int') -> 'Double') -> 'State' ('Axis' b 'V2' n) ()+-- @+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_HeatMap_heatMapIndexedExample'.svg#diagram=heatMapIndexedExample'&height=350>>+--+-- > import Plots+-- > heatMapIndexedAxis' :: Axis B V2 Double+-- > heatMapIndexedAxis' = r2Axis &~ do+-- >   display colourBar+-- >   axisExtend .= noExtend+-- >   axisColourMap .= Plots.magma+-- >+-- >   let f (V2 x y) = fromIntegral x + fromIntegral y+-- >   heatMapIndexed' (V2 3 3) f+--+-- > heatMapIndexedExample' = renderAxis heatMapIndexedAxis'+--+heatMapIndexed'+  :: (VectorLike V2 Int i,+      TypeableFloat n,+      Typeable b,+      MonadState (Axis b V2 n) m,+      Renderable (Path V2 n) b)+  => i             -- ^ extent of array+  -> (i -> Double) -- ^ heat from index+  -> m ()          -- ^ add plot to 'Axis'+heatMapIndexed' i f = heatMapIndexed i f (return ())+

@@ -0,0 +1,417 @@+{-# LANGUAGE DeriveDataTypeable        #-}+{-# LANGUAGE FlexibleContexts          #-}+{-# LANGUAGE FlexibleInstances         #-}+{-# LANGUAGE FunctionalDependencies    #-}+{-# LANGUAGE MultiParamTypeClasses     #-}+{-# LANGUAGE RankNTypes                #-}+{-# LANGUAGE RecordWildCards           #-}+{-# LANGUAGE TypeFamilies              #-}+{-# LANGUAGE UndecidableInstances      #-}++-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types.Histogram+-- Copyright   :  (C) 2015 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable++-- A histogram is a graphical representation of the distribution of+-- numerical data. It is an estimate of the probability distribution of+-- a continuous variable.+--+----------------------------------------------------------------------------++module Plots.Types.Histogram+  (+    -- * Histogram plot+    HistogramPlot++    -- ** Already computed histograms+  , computedHistogram++    -- ** Histogram options+  , HistogramOptions+  , HasHistogramOptions (..)++    -- ** Normalisation+  , NormalisationMethod+  , count+  , probability+  , countDensity+  , pdf+  , cumilative+  , cdf++    -- ** Plotting histograms+  , histogramPlot+  , histogramPlot'+  , histogramPlotOf+  , histogramPlotOf'++    -- * Low level constructors+  , mkComputedHistogram+  , mkHistogramPlot+  ) where++import           Control.Monad.State.Lazy++import qualified Data.Foldable               as F+import           Data.Function+import           Data.Maybe+import           Data.Typeable++import qualified Data.Vector                 as V+import qualified Statistics.Sample.Histogram as Stat++import           Diagrams.Core.Transform     (fromSymmetric)+import           Diagrams.Prelude+import           Linear.V2                   (_yx)++import           Plots.Axis+import           Plots.Style+import           Plots.Types+import           Plots.Util+++-- | Construct a rectangle of size v with the bottom left at point p.+rectBL :: (InSpace V2 n t, TrailLike t) => Point V2 n -> V2 n -> t+rectBL p (V2 x y) =+  trailLike $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p++------------------------------------------------------------------------+-- GHistogram plot+------------------------------------------------------------------------++-- | Simple histogram type supporting uniform bins.+data HistogramPlot n = HistogramPlot+  { hWidth  :: n+  , hStart  :: n+  , hValues :: [n]+  , hOrient :: Orientation+  } deriving Typeable++type instance V (HistogramPlot n) = V2+type instance N (HistogramPlot n) = n++instance OrderedField n => Enveloped (HistogramPlot n) where+  getEnvelope HistogramPlot {..} =+    -- don't like this reduntent code+    getEnvelope . orient hOrient _reflectXY id . (id :: Path v n -> Path v n) $+      ifoldMap drawBar hValues+    where+      drawBar i h = rectBL (mkP2 x 0) (V2 hWidth h)+        where x = hStart + fromIntegral i * hWidth++instance (TypeableFloat n, Renderable (Path V2 n) b)+    => Plotable (HistogramPlot n) b where+  renderPlotable s sty HistogramPlot {..} =+    ifoldMap drawBar hValues+      # orient hOrient _reflectXY id+      # applyAreaStyle sty+      # transform (s^.specTrans)+    where+      drawBar i h = rectBL (mkP2 x 0) (V2 hWidth h)+        where x = hStart + fromIntegral i * hWidth++  defLegendPic sty HistogramPlot {..}+    = centerXY+    . applyAreaStyle sty'+    . orient hOrient _reflectXY id+    $ alignB (rect 4 7) ||| alignB (rect 4 10) ||| alignB (rect 4 6)+    where+      -- The legend bars don't look right if the line width is too big so we limit it+      sty' = sty & areaStyle . _lw %~ atMost (local 0.8)++instance HasOrientation (HistogramPlot n) where+  orientation = lens hOrient $ \hp o -> hp {hOrient = o}++------------------------------------------------------------------------+-- Simple histogram plot+------------------------------------------------------------------------++-- | Plot an already computed histogram with equally sized bins.+computedHistogram+  :: (MonadState (Axis b V2 n) m,+      Plotable (HistogramPlot n) b,+      Foldable f)+  => n   -- ^ start of first bin+  -> n   -- ^ width of each bin+  -> f n -- ^ heights of the bins+  -> State (Plot (HistogramPlot n) b) ()+  -> m ()+computedHistogram x0 w xs = addPlotable (mkComputedHistogram x0 w xs)++-- | Construct a 'HistogramPlot' from raw histogram data.+mkComputedHistogram+  :: Foldable f+  => n -- ^ start of first bin+  -> n -- ^ width of each bin+  -> f n -- ^ heights of the bins+  -> HistogramPlot n+mkComputedHistogram x0 w xs = HistogramPlot x0 w (F.toList xs) Horizontal++----------------------------------------------------------------------------+-- Building histograms+----------------------------------------------------------------------------++-- example setup+-- > import Plots+-- > sampleData :: [Double]+-- > sampleData =+-- >   [5.1,4.9,4.7,4.6,5.0,5.4,4.6,5.0,4.4,4.9+-- >   ,5.4,4.8,4.8,4.3,5.8,5.7,5.4,5.1,5.7,5.1+-- >   ,5.4,5.1,4.6,5.1,4.8,5.0,5.0,5.2,5.2,4.7+-- >   ,4.8,5.4,5.2,5.5,4.9,5.0,5.5,4.9,4.4,5.1+-- >   ,5.0,4.5,4.4,5.0,5.1,4.8,5.1,4.6,5.3,5.0+-- >   ,7.0,6.4,6.9,5.5,6.5,5.7,6.3,4.9,6.6,5.2+-- >   ,5.0,5.9,6.0,6.1,5.6,6.7,5.6,5.8,6.2,5.6+-- >   ,5.9,6.1,6.3,6.1,6.4,6.6,6.8,6.7,6.0,5.7+-- >   ,5.5,5.5,5.8,6.0,5.4,6.0,6.7,6.3,5.6,5.5+-- >   ,5.5,6.1,5.8,5.0,5.6,5.7,5.7,6.2,5.1,5.7+-- >   ,6.3,5.8,7.1,6.3,6.5,7.6,4.9,7.3,6.7,7.2+-- >   ,6.5,6.4,6.8,5.7,5.8,6.4,6.5,7.7,7.7,6.0+-- >   ,6.9,5.6,7.7,6.3,6.7,7.2,6.2,6.1,6.4,7.2+-- >   ,7.4,7.9,6.4,6.3,6.1,7.7,6.3,6.4,6.0,6.9+-- >   ,6.7,6.9,5.8,6.8,6.7,6.7,6.3,6.5,6.2,5.9+-- >   ]+--+-- > mkNmExample nm = r2Axis &~ do+-- >   yMin ?= 0+-- >   histogramPlot sampleData $ do+-- >     normaliseSample .= nm+-- > countDia = renderAxis $ mkNmExample count+-- > probabilityDia = renderAxis $ mkNmExample probability+-- > countDensityDia = renderAxis $ mkNmExample countDensity+-- > pdfDia = renderAxis $ mkNmExample pdf+-- > cumilativeDia = renderAxis $ mkNmExample cumilative+-- > cdfDia = renderAxis $ mkNmExample cdf++-- Histogram options ---------------------------------------------------++-- | The way to normalise the data from a histogram. The default method+--   is 'count'.+newtype NormalisationMethod =+  NM { runNM :: forall n. Fractional n => n -> V.Vector n -> V.Vector n }+ -- width -> heights -> normalised heights++instance Default NormalisationMethod where+  def = count++-- | The height of each bar is the number of observations. This is the+--   'Default' method.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_countDia.svg#diagram=countDia&height=350>>+count :: NormalisationMethod+count = NM $ \_ v -> v++-- | The sum of the heights of the bars is equal to 1.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_probabilityDia.svg#diagram=probabilityDia&height=350>>+probability :: NormalisationMethod+probability = NM $ \_ v -> v ^/ V.sum v++-- | The height of each bar is @n / w@ where @n@ is the number of+--   observations and @w@ is the total width.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_countDensityDia.svg#diagram=countDensityDia&height=350>>+countDensity :: NormalisationMethod+countDensity = NM $ \w v -> v ^/ w++-- | The total area of the bars is @1@. This gives a probability density+--   function estimate.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_pdfDia.svg#diagram=pdfDia&height=350>>+pdf :: NormalisationMethod+pdf = NM $ \w v -> v ^/ (w * V.sum v)++-- | The height of each bar is the cumulative number of observations in+--   each bin and all previous bins. The height of the last bar is the+--   total number of observations.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_cumilativeDia.svg#diagram=cumilativeDia&height=350>>+cumilative :: NormalisationMethod+cumilative = NM $ \_ -> V.scanl1 (+)++-- | Cumulative density function estimate. The height of each bar is+--   equal to the cumulative relative number of observations in the bin+--   and all previous bins. The height of the last bar is 1.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_cdfDia.svg#diagram=cdfDia&height=350>>+cdf :: NormalisationMethod+cdf = NM $ \_ v -> V.scanl1 (+) v ^/ V.sum v++-- | Options for binning histogram data. For now only very basic+--   histograms building is supported.+data HistogramOptions n = HistogramOptions+  { hBins   :: Int+  , hRange  :: Maybe (n, n)+  , hNorm   :: NormalisationMethod+  , oOrient :: Orientation+  }++type instance V (HistogramOptions n) = V2+type instance N (HistogramOptions n) = n++instance Default (HistogramOptions n) where+  def = HistogramOptions+    { hBins   = 10+    , hRange  = Nothing+    , hNorm   = def+    , oOrient = Vertical+    }++instance HasOrientation (HistogramOptions n) where+  orientation = lens oOrient $ \ho o -> ho {oOrient = o}++class HasOrientation a => HasHistogramOptions a where+  -- | Options for building the histogram from data.+  histogramOptions :: Lens' a (HistogramOptions (N a))++  -- | The number of bins (bars) to use for the histogram. Must be+  --   positive.+  --+  --   'Default' is @10@.+  numBins :: Lens' a Int+  numBins = histogramOptions . lens hBins (\ho n -> ho {hBins = n})++  -- | The range of data to consider when building the histogram. Any+  --   data outside the range is ignored.+  --+  --   'Default' is 'Nothing'.+  binRange :: Lens' a (Maybe (N a, N a))+  binRange = histogramOptions . lens hRange (\ho r -> ho {hRange = r})++  -- | Should the resulting histogram be normalised so the total area is+  --   1.+  --+  --   'Default' is False.+  normaliseSample :: Lens' a NormalisationMethod+  normaliseSample = histogramOptions . lens hNorm (\ho b -> ho {hNorm = b})++instance HasHistogramOptions (HistogramOptions n) where+  histogramOptions = id++instance HasHistogramOptions a => HasHistogramOptions (Plot a b) where+  histogramOptions = rawPlot . histogramOptions++-- | Create a histogram by binning the data using the+--   'HistogramOptions'.+mkHistogramPlot+  :: (Foldable f, RealFrac n)+  => HistogramOptions n -> f n -> HistogramPlot n+mkHistogramPlot HistogramOptions {..} xs =+  HistogramPlot+    { hWidth  = w+    , hStart  = a+    , hValues = V.toList $ runNM hNorm w ns+    , hOrient = Vertical+    }+  where+    w     = (b - a) / fromIntegral hBins+    ns    = Stat.histogram_ hBins a b v+    v     = V.fromList (F.toList xs)+    (a,b) = fromMaybe (range hBins v) hRange++-- Taken from Statistics, which was limited to 'Double'.+range :: (Ord n, Fractional n)+      => Int                    -- ^ Number of bins (must be positive).+      -> V.Vector n             -- ^ Sample data (cannot be empty).+      -> (n, n)+range nBins xs+    | nBins < 1 = error "Plots.Types.Histogram: invalid bin count"+    | V.null xs = error "Plots.Types.Histogram: empty sample"+    | lo == hi  = case abs lo / 10 of+                    a | a < 1e-6   -> (-1,1)+                      | otherwise  -> (lo - a, lo + a)+    | otherwise = (lo-d, hi+d)+  where+    d | nBins == 1 = 0+      | otherwise  = (hi - lo) / ((fromIntegral nBins - 1) * 2)+    (lo,hi)        = minMaxOf folded xs+{-# INLINE range #-}++-- |+-- mkWeightedHistogram+--   :: (Foldable f, OrderdField n)+--   => HistogramOptions n -> [(n, n)] -> HistogramPlot n+-- mkWeightedHistogram++------------------------------------------------------------------------+-- Histogram+------------------------------------------------------------------------++-- $ histogram+-- Histograms display data as barplot of x data, bin y data.+-- Box plots have the following lenses:+--+-- @+-- * 'setBin' :: 'Lens'' ('BoxPlot' v n) 'Double' - 10+-- @++-- | Add a 'HistogramPlot' to the 'AxisState' from a data set.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Histogram_histogramExample.svg#diagram=histogramExample&height=350>>+--+-- > import Plots+-- > histogramAxis :: Axis B V2 Double+-- > histogramAxis = r2Axis &~ do+-- >   histogramPlot sampleData $ do+-- >     key "histogram"+-- >     plotColor .= blue+-- >     areaStyle . _opacity .= 0.5+--+-- > histogramExample = renderAxis histogramAxis+histogramPlot+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, F.Foldable f, RealFrac n)+  => f n -- ^ data+  -> State (Plot (HistogramOptions n) b) () -- ^ changes to plot options+  -> m () -- ^ add plot to axis+histogramPlot ns s = addPlot (hoPlot & rawPlot %~ \ho -> mkHistogramPlot ho ns)+  where hoPlot = mkPlot def &~ s++-- | Make a 'HistogramPlot' without changes to the plot options.+histogramPlot'+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, F.Foldable f, RealFrac n)+  => f n -- ^ data+  -> m () -- ^ add plot to axis+histogramPlot' d = histogramPlot d (return ())++-- | Add a 'HistogramPlot' using a fold over the data.+histogramPlotOf+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, RealFrac n)+  => Fold s n -- ^ fold over the data+  -> s        -- ^ data to fold+  -> State (Plot (HistogramOptions n) b) () -- ^ change to the plot+  -> m () -- ^ add plot to the 'Axis'+histogramPlotOf f s = histogramPlot (toListOf f s)++-- | Same as 'histogramPlotOf' without any changes to the plot.+histogramPlotOf'+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, RealFrac n)+  => Fold s n -> s -> m ()+histogramPlotOf' f s = histogramPlotOf f s (return ())++-- temporary functions that will be in next lib release++_reflectionXY :: (Additive v, R2 v, Num n) => Transformation v n+_reflectionXY = fromSymmetric $ (_xy %~ view _yx) <-> (_xy %~ view _yx)++_reflectXY :: (InSpace v n t, R2 v, Transformable t) => t -> t+_reflectXY = transform _reflectionXY+

@@ -0,0 +1,177 @@+{-# LANGUAGE FlexibleContexts          #-}+{-# LANGUAGE FlexibleInstances         #-}+{-# LANGUAGE MultiParamTypeClasses     #-}+{-# LANGUAGE RankNTypes                #-}+{-# LANGUAGE TypeFamilies              #-}+{-# LANGUAGE FunctionalDependencies    #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types.Line+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- A line plot is simply a 'Path' used as a plot. This module contains+-- helpers adding path plots. For line plots with markers, see+-- 'Plots.Types.Scatter'.+--+----------------------------------------------------------------------------++module Plots.Types.Line+  ( -- Plot trails/paths+    trailPlot+  , trailPlot'+  , pathPlot+  , pathPlot'++    -- * Line plots from points+  , linePlot+  , linePlot'+  , smoothLinePlot+  , smoothLinePlot'++    -- * Contruction utilities++    -- ** Trails+  , mkTrail+  , mkTrailOf++    -- ** Paths+  , mkPath+  , mkPathOf+++  ) where++import           Control.Monad.State.Lazy++import qualified Data.Foldable    as F++import           Diagrams.Coordinates.Isomorphic+import           Diagrams.Prelude++import           Plots.Axis+import           Plots.Types++------------------------------------------------------------------------+-- Trails and Paths+------------------------------------------------------------------------++-- | Add a 'Trail' as a 'Plot' to an 'Axis'.+trailPlot+  :: (BaseSpace c ~ v,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => Trail v n -- ^ trail to plot+  -> State (Plot (Path v n) b) () -- ^ changes to plot options+  -> m () -- ^ add plot to the 'Axis'+trailPlot = pathPlot . toPath++-- | Add a 'Trail' as a 'Plot' to an 'Axis' without changes to the plot+--   options.+trailPlot'+  :: (BaseSpace c ~ v,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => Trail v n -- ^ trail to plot+  -> m () -- ^ add plot to the 'Axis'+trailPlot' = pathPlot' . toPath++-- | Add a 'Path' as a 'Plot' to an 'Axis'.+pathPlot+  :: (BaseSpace c ~ v,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => Path v n -- ^ path to plot+  -> State (Plot (Path v n) b) () -- ^ changes to plot options+  -> m () -- ^ add plot to the 'Axis'+pathPlot = addPlotable++-- | Add a 'Path' as a 'Plot' to an 'Axis' without changes to the plot+--   options.+pathPlot'+  :: (BaseSpace c ~ v,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => Path v n -- ^ path to plot+  -> m () -- ^ add plot to the 'Axis'+pathPlot' = addPlotable'++------------------------------------------------------------------------+-- From list of points+------------------------------------------------------------------------++-- | Add a 'Path' plot from a list of points.+linePlot+  :: (BaseSpace c ~ v,+      Metric v,+      F.Foldable f,+      PointLike v n p,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => f p -- ^ points to turn into trail+  -> State (Plot (Path v n) b) () -- ^ changes to plot options+  -> m () -- ^ add plot to the 'Axis'+linePlot = addPlotable . toPath . mkTrail++-- | Add a 'Path' plot from a list of points.+linePlot'+  :: (BaseSpace c ~ v,+      Metric v,+      F.Foldable f,+      PointLike v n p,+      Plotable (Path v n) b,+      MonadState (Axis b c n) m)+  => f p -- ^ points to turn into trail+  -> m () -- ^ add plot to the 'Axis'+linePlot' = addPlotable' . toPath . mkTrail++-- | Add a smooth 'Path' plot from a list of points using 'cubicSpline'.+smoothLinePlot+  :: (BaseSpace c ~ v,+      F.Foldable f,+      Metric v,+      PointLike v n p,+      Plotable (Path v n) b,+      Fractional (v n), -- needs fixing in diagrams-lib+      MonadState (Axis b c n) m)+  => f p -- ^ points to turn into trail+  -> State (Plot (Path v n) b) () -- ^ changes to plot options+  -> m () -- ^ add plot to the 'Axis'+smoothLinePlot = addPlotable . cubicSpline False . toListOf (folded . unpointLike)++-- | Add a smooth 'Path' plot from a list of points using 'cubicSpline'+--   without changes to the plot options.+smoothLinePlot'+  :: (BaseSpace c ~ v,+      F.Foldable f,+      PointLike v n p,+      Plotable (Path v n) b,+      Fractional (v n), -- needs fixing in diagrams-lib+      MonadState (Axis b c n) m)+  => f p -- ^ points to turn into trail+  -> m () -- ^ add plot to the 'Axis'+smoothLinePlot' xs = smoothLinePlot xs (return ())++------------------------------------------------------------------------+-- Trail and path+------------------------------------------------------------------------++-- | Construct a localed trail from a list of folable of points.+mkTrail :: (PointLike v n p, OrderedField n, F.Foldable f) => f p -> Located (Trail v n)+mkTrail = mkTrailOf folded++-- | Construct a localed trail from a fold over points.+mkTrailOf :: (PointLike v n p, OrderedField n) => Fold s p -> s -> Located (Trail v n)+mkTrailOf f ps = fromVertices $ toListOf (f . unpointLike) ps++-- | Construct a localed trail from a fold over points.+mkPath :: (PointLike v n p, OrderedField n, F.Foldable f, F.Foldable g) => g (f p) -> Path v n+mkPath pss = toPath $ map mkTrail (F.toList pss)++-- | Construct a localed trail from a fold over points.+mkPathOf :: (PointLike v n p, OrderedField n) => Fold s t -> Fold t p -> s -> Path v n+mkPathOf f1 f2 as = Path $ map (mkTrailOf f2) (toListOf f1 as)+

@@ -0,0 +1,306 @@+{-# LANGUAGE DeriveDataTypeable        #-}+{-# LANGUAGE ExistentialQuantification #-}+{-# LANGUAGE FlexibleContexts          #-}+{-# LANGUAGE FlexibleInstances         #-}+{-# LANGUAGE MultiParamTypeClasses     #-}+{-# LANGUAGE RankNTypes                #-}+{-# LANGUAGE RecordWildCards           #-}+{-# LANGUAGE TypeFamilies              #-}+{-# LANGUAGE FunctionalDependencies    #-}+{-# LANGUAGE ViewPatterns    #-}+{-# LANGUAGE ScopedTypeVariables    #-}++{-# LANGUAGE UndecidableInstances      #-}++{-# LANGUAGE StandaloneDeriving        #-}+-----------------------------------------------------------------------------+-- |+-- Module      :  Plots.Types.Line+-- Copyright   :  (C) 2016 Christopher Chalmers+-- License     :  BSD-style (see the file LICENSE)+-- Maintainer  :  Christopher Chalmers+-- Stability   :  experimental+-- Portability :  non-portable+--+-- A pie plot is a circular statistical graphic, which is divided into+-- slices to illustrate numerical proportion.+--+-- <<diagrams/src_Plots_Types_Pie_piePlotExample.svg#diagram=piePlotExample&height=350>>+--+----------------------------------------------------------------------------++module Plots.Types.Pie+  ( -- * Pie plot+    PieState+  , piePlot+  , piePlot'+  , onWedges+  , wedgeKeys++    -- * Wedges+  , Wedge+  , mkWedge+  , HasWedge (..)+  , wedgePlot++  ) where++import           Control.Monad.State.Lazy++import           Data.Typeable+import qualified Data.Foldable as F+import qualified Data.List as List++import           Diagrams.Coordinates.Isomorphic+import           Diagrams.Coordinates.Polar+import           Diagrams.Prelude hiding (r2)++import           Plots.Style+import           Plots.Types+import           Plots.Axis++------------------------------------------------------------------------+-- Pie wedge+------------------------------------------------------------------------++-- | Contains information to draw a single wedge of a pie. It is not+--   intended to be draw directly. Instead use 'piePlot.+data Wedge n = Wedge+  { sEndR   :: n+  , sStartR :: n+  , sOffset :: n+  , sDir    :: Direction V2 n+  , sWidth  :: Angle n+  } deriving Typeable++type instance V (Wedge n)  = V2+type instance N (Wedge n)  = n++instance RealFloat n => Enveloped (Wedge n) where+  getEnvelope Wedge {..} = getEnvelope shape # translate off where+    shape+      | sStartR == 0 = wedge sEndR sDir sWidth :: Path V2 n+      | otherwise    = annularWedge sEndR sStartR sDir sWidth+    off+      | sOffset == 0 = zero+      | otherwise    = sOffset *^ fromDir (rotate (sWidth ^/ 2) sDir)++instance (TypeableFloat n, Renderable (Path V2 n) b)+    => Plotable (Wedge n) b where+  renderPlotable s sty Wedge {..} =+    shape+      # applyAreaStyle sty+      # translate off+      # transform (s^.specTrans)+    where+      shape+        | sStartR == 0 = wedge sEndR sDir sWidth+        | otherwise    = annularWedge sEndR sStartR sDir sWidth+      off+        | sOffset == 0 = zero+        | otherwise    = sOffset *^ fromDir (rotate (sWidth ^/ 2) sDir)++  defLegendPic sty Wedge {..}+      = square 5 # applyAreaStyle sty++-- | Create a pie wedge with unit radius, starting at direction @d@ with+--   width @theta@.+mkWedge+  :: Num n+  => Direction V2 n -- ^ starting direction+  -> Angle n        -- ^ width of wedge+  -> Wedge n        -- ^ resulting wedge+mkWedge d theta = Wedge+  { sEndR   = 1+  , sStartR = 0+  , sOffset = 0+  , sDir    = d+  , sWidth  = theta+  }++class HasWedge f a where+  -- | Description on how to draw a wedge.+  pieWedge :: LensLike' f a (Wedge (N a))++  -- | The outside radius of the wedge. Default is @1@.+  wedgeOuterRadius :: Functor f => LensLike' f a (N a)+  wedgeOuterRadius = pieWedge . lens sEndR (\p r -> p {sEndR = r})++  -- | The inside radius of the wedge. Default is $0$.+  wedgeInnerRadius :: Functor f => LensLike' f a (N a)+  wedgeInnerRadius = pieWedge . lens sStartR (\p r -> p {sStartR = r})++  -- | The offset of the wedge from the center.+  wedgeOffset :: Functor f => LensLike' f a (N a)+  wedgeOffset = pieWedge . lens sOffset (\p x -> p {sOffset = x})++  -- | The width of the wedge, starting from the 'wedgeDirection'.+  wedgeWidth :: Functor f => LensLike' f a (Angle (N a))+  wedgeWidth = pieWedge . lens sWidth (\p x -> p {sWidth = x})++  -- | The inititial direction of the wedge.+  wedgeDirection :: Functor f => LensLike' f a (Direction V2 (N a))+  wedgeDirection = pieWedge . lens sDir (\p x -> p {sDir = x})++instance HasWedge f (Wedge n) where+  pieWedge = id++instance (Functor f, HasWedge f a) => HasWedge f (Plot a b) where+  pieWedge = rawPlot . pieWedge++instance Applicative f => HasWedge f (PieState b n a) where+  pieWedge = stateMods . traversed . _2 . pieWedge++instance (Applicative f, Typeable b, v ~ V2, Typeable n)+    => HasWedge f (DynamicPlot b v n) where+  pieWedge = (dynamicPlot :: Traversal' (DynamicPlot b v n) (Plot (Wedge n) b))+           . pieWedge++instance (v ~ V2, Applicative f, Typeable n)+    => HasWedge f (StyledPlot b v n) where+  pieWedge = (styledPlot :: Traversal' (StyledPlot b v n) (Wedge n))++instance (BaseSpace c ~ V2, Settable f, Typeable n)+    => HasWedge f (Axis b c n) where+  pieWedge = finalPlots . pieWedge++------------------------------------------------------------------------+-- Full pie+------------------------------------------------------------------------++-- | The state used to draw a part chart made of multiple pie wedges.+data PieState b n a = PieState+  { psMods  :: [(a, Plot (Wedge n) b)] -- non-empty list+  }++type instance V (PieState b n a) = V2+type instance N (PieState b n a) = n++-- internal lens+stateMods :: Lens' (PieState b n a) [(a, Plot (Wedge n) b)]+stateMods = lens psMods (\ps ms -> ps {psMods = ms})++-- -- | The direction for the first entry in the pie. Default is 'xDir'.+-- startingDirection :: Lens' (PieState b n a) (Direction V2 n)+-- startingDirection = lens psStart (\ps d -> ps {psStart = d})++-- -- | The ending direction of the final wedge. This can be used to make a+-- finalDirection ::++-- | Modify the state for each wedge given the data entry.+--+--   Some common lenses to use on the 'Wedge':+--+--       * 'plotColour' - change the colour of the bars+--+--       * 'areaStyle' - modify the style of the bars+--+--       * 'key' - add a legend entry for that group of bars+--+--       * 'wedgeOffset' - the offset of the wedge from the center+--+onWedges :: (a -> State (Plot (Wedge n) b) ()) -> State (PieState b n a) ()+onWedges f = stateMods %= map (\(a, p) -> (a, execState (f a) p))++-- | Add a legend entry for each item given a function that extracts the+--   item's name.+wedgeKeys :: Num n => (a -> String) -> State (PieState b n a) ()+wedgeKeys f = onWedges $ \a -> key (f a)++-- | Make a pie plot from a list of data by making a series of wedge+--   plots.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Pie_piePlotExample.svg#diagram=piePlotExample&height=350>>+--+-- > import Plots+-- >+-- > pieData = [("red", 3), ("blue", 4), ("green", 2), ("purple", 5)]+-- >+-- > piePlotAxis :: Axis B Polar Double+-- > piePlotAxis = polarAxis &~ do+-- >   piePlot pieData snd $ wedgeKeys fst+-- >   hide (axes . traversed)+--+-- > piePlotExample = renderAxis piePlotAxis+piePlot+  :: (MonadState (Axis b Polar n) m,+      Plotable (Wedge n) b,+      Foldable f)+  => f a    -- ^ data for each wedge+  -> (a -> n) -- ^ extract weight of each wedge+  -> State (PieState b n a) ()+  -> m ()+piePlot (F.toList -> as) f st = F.forM_ ps addPlot+  where+    -- calculate pie widths+    ns = map f as+    x  = F.sum ns+    wedges = snd $ List.mapAccumR wedgeAccum xDir as+    wedgeAccum d a = (d', wdg)+      where theta = (f a / x) @@ turn+            d'    = d # rotate theta+            wdg   = mkWedge d theta++    -- run pie state+    ps  = map snd . psMods $ execState st ps0+    ps0 = PieState { psMods = zip as (map mkPlot wedges) }++-- | Make a pie plot from list of values without any changes.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Pie_pieExample'.svg#diagram=pieExample'&height=350>>+--+-- > import Plots+-- >+-- > piePlotAxis' :: Axis B Polar Double+-- > piePlotAxis' = polarAxis &~ do+-- >   piePlot' [1,3,5,2]+-- >   wedgeInnerRadius .= 0.5+-- >   hide (axes . traversed)+--+-- > pieExample' = renderAxis piePlotAxis'+piePlot'+  :: (MonadState (Axis b Polar n) m,+      Plotable (Wedge n) b,+      Foldable f)+  => f n    -- ^ weight of each wedge+  -> m ()+piePlot' ns = piePlot ns id (return ())++------------------------------------------------------------------------+-- Wedge+------------------------------------------------------------------------++-- $ pieplot+-- Pie plots display data as wedges and annular wedges.+-- Pie plots have the following lenses:+--+-- @+-- * 'strokeArc' :: 'Lens'' ('BoxPlot' v n) 'Bool' - False+-- @++-- | Add a single 'PiePlot' to the 'AxisState' from a data set.+--+-- === __Example__+--+-- <<diagrams/src_Plots_Types_Pie_wedgeExample.svg#diagram=wedgeExample&height=350>>+--+-- > import Plots+-- >+-- > wedgePlotAxis :: Axis B Polar Double+-- > wedgePlotAxis = polarAxis &~ do+-- >   wedgePlot xDir (38@@deg) $ key "wedge"+--+-- > wedgeExample = renderAxis wedgePlotAxis+wedgePlot+  :: (v ~ BaseSpace c, v ~ V2,+      PointLike v n (Polar n),+      MonadState (Axis b c n) m,+      Plotable (Wedge n) b+      )+  => Direction V2 n -> Angle n -> State (Plot (Wedge n) b) () -> m ()+wedgePlot r theta = addPlotable (mkWedge r theta)+