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Pentagon.elm
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Pentagon.elm
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-- module Main exposing (..)
module Main exposing (..)
import Graphics.Render
exposing
( Shape
, Point
, polygon
, group
, angle
, solid
, opacity
, filled
, bordered
, filledAndBordered
, position
, svg
)
import Color exposing (rgb)
import Iterate exposing (orbit, iterate)
{-| For the purposes of this demo, an AbstractShape is a polygon
-}
type alias AbstractShape =
{ points : List Point, angle : Float }
render r =
let
s =
polygon r.points
|> bordered
1.0
(solid <| rgb 204 82 0)
|> opacity 0.7
in
s
render2 r =
let
s =
polygon r.points
|> bordered
1.0
(solid <| rgb 0 0 255)
|> opacity 0.7
in
s
addPoints : Point -> Point -> Point
addPoints a b =
( Tuple.first a + Tuple.first b, Tuple.second a + Tuple.second b )
scalePoint : Float -> Float -> Point -> Point
scalePoint kx ky point =
( kx * (Tuple.first point), ky * (Tuple.second point) )
rotatePoint : Float -> Point -> Point
rotatePoint angle point =
let
x =
Tuple.first point
y =
Tuple.second point
theta =
rad angle
xx =
x * (cos theta) - y * (sin theta)
yy =
x * (sin theta) + y * (cos theta)
in
( xx, yy )
rad deg =
(3.1416 / 180.0) * deg
{-| Tranlsate a shape by tx, ty.
-}
translate : Float -> Float -> AbstractShape -> AbstractShape
translate tx ty s =
let
points =
s.points
newPoints =
List.map (addPoints ( tx, ty )) points
in
AbstractShape newPoints s.angle
scale : Float -> Float -> AbstractShape -> AbstractShape
scale kx ky s =
let
points =
s.points
newPoints =
List.map (scalePoint kx ky) points
in
AbstractShape newPoints s.angle
rotate : Float -> AbstractShape -> AbstractShape
rotate angle s =
let
points =
s.points
newPoints =
List.map (rotatePoint angle) points
in
AbstractShape newPoints s.angle
c1 =
((sqrt 5) - 1) / 4
c2 =
((sqrt 5) + 1) / 4
s1 =
(sqrt (10 + 2 * (sqrt 5))) / 4
s2 =
(sqrt (10 - 2 * (sqrt 5))) / 4
pentagon =
AbstractShape [ ( -s2, -c2 ), ( s2, -c2 ), ( s1, c1 ), ( 0, 1 ), ( -s1, c1 ) ] 0.0
|> translate 0 -1
|> scale 100.0 100.0
|> rotate 20
shapes =
orbit ((rotate -10) >> (scale 0.95 0.95)) 80 pentagon
|> List.map (translate 300 300)
|> List.map render2
main =
group shapes |> svg 0 0 500 500