Diagrams.TrailLike

The TrailLike class abstracts over anything which can be constructed from a concretely located Trail, including lines, loops, trails, paths, vertex lists, and diagrams.

The TrailLike class

class (Metric (V t), OrderedField (N t)) => TrailLike t where

A type class for trail-like things, i.e. things which can be constructed from a concretely located Trail. Instances include lines, loops, trails, paths, lists of vertices, two-dimensional Diagrams, and Located variants of all the above.

Usually, type variables with TrailLike constraints are used as the output types of functions, like

  foo :: (TrailLike t) => ... -> t
  

Functions with such a type can be used to construct trails, paths, diagrams, lists of points, and so on, depending on the context.

To write a function with a signature like the above, you can of course call trailLike directly; more typically, one would use one of the provided functions like fromOffsets, fromVertices, fromSegments, or ~~.

Minimal complete definition

trailLike

Methods

trailLike

Arguments

:: Located (Trail (V t) (N t))

The concretely located trail. Note that some trail-like things (e.g. Trails) may ignore the location.

-> t

Instances

(Metric v, OrderedField n) => TrailLike [Point v n]

A list of points is trail-like; this instance simply computes the vertices of the trail, using trailPoints.

Methods

trailLike :: Located (Trail (V [Point v n]) (N [Point v n])) -> [Point v n]

TrailLike t => TrailLike (TransInv t)

Translationally invariant things are trail-like as long as the underlying type is.

Methods

trailLike :: Located (Trail (V (TransInv t)) (N (TransInv t))) -> TransInv t

TrailLike t => TrailLike (Located t)

Located things are trail-like as long as the underlying type is. The location is taken to be the location of the input located trail.

Methods

trailLike :: Located (Trail (V (Located t)) (N (Located t))) -> Located t

(Metric v, OrderedField n) => TrailLike (Trail v n)

Trails are trail-like; the location is simply ignored.

Methods

trailLike :: Located (Trail (V (Trail v n)) (N (Trail v n))) -> Trail v n

(Metric v, OrderedField n) => TrailLike (Path v n)

Paths are trail-like; a trail can be used to construct a singleton path.

Methods

trailLike :: Located (Trail (V (Path v n)) (N (Path v n))) -> Path v n

(Metric v, OrderedField n) => TrailLike (Trail' Loop v n)

Loops are trail-like. If given a Trail containing a line, the line will be turned into a loop using glueLine. The location is ignored.

Methods

trailLike :: Located (Trail (V (Trail' Loop v n)) (N (Trail' Loop v n))) -> Trail' Loop v n

(Metric v, OrderedField n) => TrailLike (Trail' Line v n)

Lines are trail-like. If given a Trail which contains a loop, the loop will be cut with cutLoop. The location is ignored.

Methods

trailLike :: Located (Trail (V (Trail' Line v n)) (N (Trail' Line v n))) -> Trail' Line v n

Constructing TrailLikes

fromSegments :: TrailLike t => [Segment Closed (V t) (N t)] -> t

Construct a trail-like thing from a list of segments, with the origin as the location.

fromSegmentsEx = fromSegments
  [ straight (r2 (1,1))
  , bézier3  (r2 (1,1)) unitX unit_Y
  , straight unit_X
  ]
  # centerXY # pad 1.1

fromLocSegments :: TrailLike t => Located [Segment Closed (V t) (N t)] -> t

Construct a trail-like thing from a located list of segments.

fromOffsets :: TrailLike t => [Vn t] -> t

Construct a trail-like thing of linear segments from a list of offsets, with the origin as the location.

fromOffsetsEx = fromOffsets
  [ unitX
  , unitX # rotateBy (1/6)
  , unitX # rotateBy (-1/6)
  , unitX
  ]
  # centerXY # pad 1.1

fromLocOffsets :: (V t ~ v, N t ~ n, V (v n) ~ v, N (v n) ~ n, TrailLike t) => Located [v n] -> t

Construct a trail-like thing of linear segments from a located list of offsets.

fromVertices :: TrailLike t => [Point (V t) (N t)] -> t

Construct a trail-like thing connecting the given vertices with linear segments, with the first vertex as the location. If no vertices are given, the empty trail is used with the origin as the location.

import Data.List (transpose)

fromVerticesEx =
  ( [ pentagon 1
    , pentagon 1.3 # rotateBy (1/15)
    , pentagon 1.5 # rotateBy (2/15)
    ]
    # transpose
    # concat
  )
  # fromVertices
  # closeTrail # strokeTrail
  # centerXY # pad 1.1

(~~) :: (V t ~ v, N t ~ n, TrailLike t) => Point v n -> Point v n -> t

Create a linear trail between two given points.

twiddleEx
  = mconcat ((~~) <$> hexagon 1 <*> hexagon 1)
  # centerXY # pad 1.1

explodeTrail :: (V t ~ v, N t ~ n, TrailLike t) => Located (Trail v n) -> [t]

Given a concretely located trail, "explode" it by turning each segment into its own separate trail. Useful for (say) applying a different style to each segment.

explodeTrailEx
  = pentagon 1
  # explodeTrail  -- generate a list of diagrams
  # zipWith lc [orange, green, yellow, red, blue]
  # mconcat # centerXY # pad 1.1