{- |
   Copyright  : Copyright (C) 2012 Joachim Breitner
   License    : BSD3

   Maintainer : Joachim Breitner <mail@joachim-breitner.de>
   Stability  : stable
   Portability: portable
-}
module Optimisation.CirclePacking (
    packCircles
    -- * Example
    -- $example
    ) where

import Data.List (sortBy, minimumBy)
import Data.Ord (comparing)


{- | 'packCircles' takes a list of circles and a function that yields the
   radius of the circle.
  
   It returns a list of all circles, in unspecified order, together with 
   coordinates such that they do not overlap but sit as tight as possible,
   filling a large circle.

   
   Finding the optimal solution to this is NP hard, so only
   heuristics are feasible. This particular
   implementation is neither very good nor very fast,
   compared to the state of the art in research. Nevertheless
   it is simple to use and gives visually acceptable results.

   The heuristics begins by placing the largest circle first, and the
   next-to-largest next to it. From then on it adds circles by considering all
   points where the circle to be added would touch two circles but overlap with
   none, and picks the one that is closest to the center of mass of the current
   placements.

-}
packCircles :: (a -> Double) -> [a] -> [(a, (Double, Double))]
packCircles radius = go . sortBy (comparing radius)
  where
    go [] = []
    go (c:cs) = let placed = go cs in (c, place c placed) : placed
    place _ [] = (0,0)
    place c [(c',(x,y))] = (x + radius c + radius c', y)
    place c placed = minimumBy (comparing centerDistance)
                        [ p | (c1, c2) <- allPairs placed,
                              touching c1 c2,
                              p <- near c1 c2,
                              all (valid p) placed
                        ]
      where
        centerDistance (x,y) = sqrt ((centerx - x)**2  + (centery - y)**2)

        centerx = sum [x * (radius c')**2 | (c',(x,_)) <- placed] / area
        centery = sum [y * (radius c')**2 | (c',(_,y)) <- placed] / area
        area = sum [(radius c')**2 | (c',_) <- placed] 

        valid (x1,y1) (c2,(x2,y2)) =
            sqrt ((x2 - x1)**2  + (y2-y1)**2) >= (radius c + radius c2) * (1-eps)
        
        touching (c1,(x1,y1)) (c2, (x2, y2)) = 
            sqrt ((x2 - x1)**2  + (y2-y1)**2) <= (radius c1 + radius c2) * (1+eps)

        near (c1,(x1,y1)) (c2, (x2, y2)) = [(c1x,c1y), (c2x,c2y)]
          where
            base = sqrt ((x2 - x1)**2  + (y2 - y1)**2)
            lat1 = radius c1 + radius c
            lat2 = radius c2 + radius c
            --From http://stackoverflow.com/a/11356687/946226
            ad_length = (base**2 + lat1**2 - lat2**2)/(2 * base)
            h = sqrt (abs (lat1**2 - ad_length**2))
            dx = x1 + ad_length * (x2 - x1)/base
            dy = y1 + ad_length * (y2 - y1)/base
            
            c1x = dx + h * (y2 - y1) / base
            c1y = dy - h * (x2 - x1) / base

            c2x = dx - h * (y2 - y1) / base
            c2y = dy + h * (x2 - x1) / base

-- Possible ways to speed this up:
-- * Cache radius
-- * Remember which circles are touching 
-- * First sort all points, then take first valid, instead of checking validity
--   for all of them. 

eps :: Double
eps = 0.00001

allPairs :: [a] -> [(a,a)]
allPairs [] = []
allPairs (x:xs) = [ (x,y) | y <- xs ] ++ allPairs xs


{-$example

   The following code demonstrates how one can use 'packCircles' together with
   the diagrams library:

>import Diagrams.Prelude
>import Diagrams.Backend.SVG.CmdLine
>
>import Optimisation.CirclePacking
>
>colorize = zipWith fc $
>    cycle [red,blue,yellow,magenta,cyan,bisque,firebrick,indigo]
>
>objects = colorize $
>    [ circle r  | r <- [0.1,0.2..1.6] ] ++
>    [ hexagon r | r <- [0.1,0.2..0.7] ] ++
>    [ decagon r | r <- [0.1,0.2..0.7] ]
>
>-- Just a approximation, diagram objects do not have an exact radius
>radiusApproximation o = maximum [ radius (e (CircleFrac alpha)) o | alpha <- [0,0.1..1.0]]
>
>main = defaultMain $
>    position $ map (\(o,(x,y)) -> (p2 (x,y),o)) $
>    packCircles radiusApproximation objects

This generates the following SVG file (if your Browser manges to display it):

<<data:image/svg+xml;base64,<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
    "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" width="400.0" height="413.59691124314463" font-size="1" viewBox="0 0 400 414"><g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(75,0,130)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 211.6241767286894,218.57733612443658 c 0.0,-37.343888366042975 -30.273202957742857,-67.61709132378584 -67.61709132378583 -67.61709132378584c -37.343888366042975,-2.286653667759531e-15 -67.61709132378584,30.273202957742853 -67.61709132378584 67.61709132378581c -4.573307335519062e-15,37.343888366042975 30.27320295774285,67.61709132378584 67.61709132378581 67.61709132378584c 37.343888366042975,6.859961003278592e-15 67.61709132378584,-30.273202957742846 67.61709132378584 -67.6170913237858Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(178,34,34)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 338.4415950576274,218.57733612443658 c 0.0,-35.0098953431653 -28.381127772883932,-63.39102311604923 -63.39102311604922 -63.39102311604923c -35.0098953431653,-2.1437378135245603e-15 -63.39102311604923,28.38112777288393 -63.39102311604923 63.39102311604921c -4.287475627049121e-15,35.0098953431653 28.381127772883925,63.39102311604923 63.391023116049205 63.39102311604923c 35.0098953431653,6.431213440573681e-15 63.39102311604923,-28.38112777288392 63.39102311604923 -63.3910231160492Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,228,196)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 272.7164504419405,112.53044457902685 c 0.0,-32.675902320287605 -26.489052588025,-59.164954908312616 -59.1649549083126 -59.164954908312616c -32.675902320287605,-2.0008219592895894e-15 -59.164954908312616,26.489052588024997 -59.164954908312616 59.164954908312595c -4.001643918579179e-15,32.675902320287605 26.489052588024993,59.164954908312616 59.16495490831259 59.164954908312616c 32.675902320287605,6.002465877868768e-15 59.164954908312616,-26.48905258802499 59.164954908312616 -59.16495490831258Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,255,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 268.35402064571616,319.6248615929554 c 0.0,-30.341909297409916 -24.59697740316607,-54.93888670057599 -54.93888670057598 -54.93888670057599c -30.341909297409916,-1.8579061050546185e-15 -54.93888670057599,24.596977403166065 -54.93888670057599 54.93888670057597c -3.715812210109237e-15,30.341909297409916 24.59697740316606,54.93888670057599 54.93888670057597 54.93888670057599c 30.341909297409916,5.5737183151638556e-15 54.93888670057599,-24.596977403166058 54.93888670057599 -54.938886700575964Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 154.48309454925595,107.26458396289297 c 0.0,-28.00791627453223 -22.70490221830714,-50.712818492839375 -50.71281849283936 -50.712818492839375c -28.00791627453223,-1.7149902508196478e-15 -50.712818492839375,22.704902218307137 -50.712818492839375 50.71281849283936c -3.4299805016392956e-15,28.00791627453223 22.704902218307133,50.712818492839375 50.712818492839354 50.712818492839375c 28.00791627453223,5.144970752458944e-15 50.712818492839375,-22.70490221830713 50.712818492839375 -50.71281849283935Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,228,196)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 359.228048487296,145.14526266505084 l 9.141488269048015,-28.134607950929816 l -9.141488269048034,-28.134607950929816 l -23.932726996126178,-17.388143973827646 h -29.5824774541563 l -23.932726996126185,17.388143973827667 l -9.141488269048015,28.134607950929816 l 9.141488269048027,28.134607950929816 l 23.93272699612618,17.388143973827656 h 29.5824774541563 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,255,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 158.81423321584856,328.2273293675836 c 0.0,-25.673923251654543 -20.812827033448208,-46.48675028510276 -46.48675028510275 -46.48675028510276c -25.673923251654543,-1.5720743965846771e-15 -46.48675028510276,20.812827033448208 -46.48675028510276 46.486750285102744c -3.1441487931693542e-15,25.673923251654543 20.812827033448205,46.48675028510276 46.48675028510274 46.48675028510276c 25.673923251654543,4.716223189754031e-15 46.48675028510276,-20.8128270334482 46.48675028510276 -46.48675028510273Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 84.52136415473227,177.01635865948433 c 0.0,-23.339930228776854 -18.92075184858928,-42.26068207736614 -42.260682077366134 -42.26068207736614c -23.339930228776854,-1.4291585423497064e-15 -42.26068207736614,18.92075184858928 -42.26068207736614 42.26068207736613c -2.858317084699413e-15,23.339930228776854 18.920751848589276,42.26068207736614 42.26068207736612 42.26068207736614c 23.339930228776854,4.287475627049119e-15 42.26068207736614,-18.920751848589273 42.26068207736614 -42.26068207736612Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,255,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 80.9912223232024,293.2068133798513 l 7.8355613734697265,-24.115378243654128 l -7.835561373469743,-24.115378243654128 l -20.51376599667958,-14.904123406137984 h -25.356409246419688 l -20.513765996679588,14.904123406138 l -7.8355613734697265,24.11537824365413 l 7.835561373469738,24.11537824365413 l 20.513765996679584,14.904123406137991 h 25.356409246419688 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 344.33804290943795,315.09663244708446 c 0.0,-21.005937205899173 -17.028676663730355,-38.03461386962953 -38.034613869629524 -38.03461386962953c -21.005937205899173,-1.286242688114736e-15 -38.03461386962953,17.02867666373035 -38.03461386962953 38.03461386962952c -2.572485376229472e-15,21.005937205899173 17.02867666373035,38.03461386962953 38.03461386962952 38.03461386962953c 21.005937205899173,3.858728064344208e-15 38.03461386962953,-17.028676663730348 38.03461386962953 -38.03461386962951Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 182.82451551179417,59.76356373525367 l 6.529634477891439,-20.09614853637844 l -6.529634477891453,-20.09614853637844 l -17.094804997232988,-12.42010283844832 h -21.130341038683074 l -17.09480499723299,12.420102838448335 l -6.529634477891439,20.096148536378443 l 6.529634477891449,20.096148536378443 l 17.094804997232988,12.420102838448328 h 21.130341038683074 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(75,0,130)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 400.0,184.72178724240575 c 0.0,-18.671944183021484 -15.136601478871425,-33.808545661892914 -33.80854566189291 -33.808545661892914c -18.671944183021484,-1.1433268338797652e-15 -33.808545661892914,15.136601478871423 -33.808545661892914 33.8085456618929c -2.2866536677595304e-15,18.671944183021484 15.136601478871421,33.808545661892914 33.8085456618929 33.808545661892914c 18.671944183021484,3.4299805016392952e-15 33.808545661892914,-15.13660147887142 33.808545661892914 -33.80854566189289Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(178,34,34)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 308.0345474733899,51.9641516194076 c 0.0,-16.3379511601438 -13.244526294012497,-29.5824774541563 -29.582477454156294 -29.5824774541563c -16.3379511601438,-1.0004109796447945e-15 -29.5824774541563,13.244526294012497 -29.5824774541563 29.58247745415629c -2.000821959289589e-15,16.3379511601438 13.244526294012495,29.5824774541563 29.582477454156287 29.5824774541563c 16.3379511601438,3.0012329389343833e-15 29.5824774541563,-13.244526294012493 29.5824774541563 -29.582477454156283Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(178,34,34)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 369.0048193770183,292.98660159875965 l 14.791238727078158,-25.61917698217976 l -14.79123872707814,-25.619176982179766 l -29.582477454156294,-9.852944278517672e-15 l -14.791238727078163,25.619176982179756 l 14.791238727078131,25.619176982179773 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,255,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 237.29992273445404,42.089919928964164 l 5.223707582313152,-16.076918829102755 l -5.223707582313163,-16.076918829102755 l -13.675843997786389,-9.936082270758657 h -16.90427283094646 l -13.675843997786394,9.936082270758668 l -5.223707582313152,16.076918829102755 l 5.22370758231316,16.076918829102755 l 13.675843997786393,9.936082270758662 h 16.90427283094646 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,228,196)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 186.7019384268475,380.77690842926495 c 0.0,-14.003958137266116 -11.35245110915357,-25.356409246419688 -25.35640924641968 -25.356409246419688c -14.003958137266116,-8.574951254098239e-16 -25.356409246419688,11.352451109153568 -25.356409246419688 25.35640924641968c -1.7149902508196478e-15,14.003958137266116 11.352451109153566,25.356409246419688 25.356409246419677 25.356409246419688c 14.003958137266116,2.572485376229472e-15 25.356409246419688,-11.352451109153565 25.356409246419688 -25.356409246419673Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,228,196)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 288.2096108720761,392.48882784485977 l 12.678204623209849,-21.95929455615408 l -12.678204623209835,-21.959294556154084 l -25.35640924641968,-8.445380810158006e-15 l -12.678204623209854,21.959294556154077 l 12.678204623209826,21.959294556154095 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,255,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 53.39332000862862,114.40136062207401 c 0.0,-11.66996511438843 -9.460375924294642,-21.130341038683074 -21.13034103868307 -21.130341038683074c -11.66996511438843,-7.145792711748533e-16 -21.130341038683074,9.46037592429464 -21.130341038683074 21.130341038683067c -1.4291585423497066e-15,11.66996511438843 9.46037592429464,21.130341038683074 21.130341038683063 21.130341038683074c 11.66996511438843,2.14373781352456e-15 21.130341038683074,-9.460375924294638 21.130341038683074 -21.130341038683063Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,255,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 216.07864012557445,413.59691124314463 l 10.565170519341542,-18.2994121301284 l -10.56517051934153,-18.299412130128406 l -21.13034103868307,-7.037817341798339e-15 l -10.565170519341546,18.2994121301284 l 10.565170519341523,18.299412130128413 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 117.17386558952256,48.15356040841852 l 3.9177806867348632,-12.057689121827064 l -3.9177806867348717,-12.057689121827064 l -10.25688299833979,-7.452061703068992 h -12.678204623209844 l -10.256882998339794,7.452061703069 l -3.9177806867348632,12.057689121827066 l 3.917780686734869,12.057689121827066 l 10.256882998339792,7.4520617030689955 h 12.678204623209844 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 65.83517425556099,327.01675099941417 c 0.0,-9.335972091510744 -7.568300739435714,-16.90427283094646 -16.904272830946457 -16.90427283094646c -9.335972091510744,-5.716634169398827e-16 -16.90427283094646,7.568300739435713 -16.90427283094646 16.904272830946454c -1.1433268338797654e-15,9.335972091510744 7.5683007394357125,16.90427283094646 16.904272830946454 16.90427283094646c 9.335972091510744,1.714990250819648e-15 16.90427283094646,-7.568300739435712 16.90427283094646 -16.90427283094645Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 51.314760492823716,92.50716074980369 l 8.452136415473234,-14.639529704102722 l -8.452136415473225,-14.639529704102726 l -16.904272830946457,-5.630253873438671e-15 l -8.452136415473237,14.63952970410272 l 8.45213641547322,14.639529704102731 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 249.75655505274815,391.46824686443614 l 2.6118537911565753,-8.038459414551376 l -2.611853791156581,-8.038459414551376 l -6.837921998893194,-4.968041135379328 h -8.452136415473229 l -6.837921998893195,4.968041135379333 l -2.6118537911565753,8.038459414551376 l 2.6118537911565793,8.038459414551376 l 6.8379219988931945,4.96804113537933 h 8.452136415473229 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,255,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 84.41998034476472,52.54011765257809 c 0.0,-7.001979068633058 -5.676225554576785,-12.678204623209844 -12.67820462320984 -12.678204623209844c -7.001979068633058,-4.2874756270491196e-16 -12.678204623209844,5.676225554576784 -12.678204623209844 12.67820462320984c -8.574951254098239e-16,7.001979068633058 5.676225554576783,12.678204623209844 12.678204623209838 12.678204623209844c 7.001979068633058,1.286242688114736e-15 12.678204623209844,-5.676225554576782 12.678204623209844 -12.678204623209837Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,255,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 326.8193147562153,67.44664808236638 l 6.3391023116049245,-10.97964727807704 l -6.339102311604917,-10.979647278077042 l -12.67820462320984,-4.222690405079003e-15 l -6.339102311604927,10.979647278077039 l 6.339102311604913,10.979647278077048 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 220.3672928872488,184.25319839089306 c 0.0,-4.667986045755371 -3.7841503697178562,-8.452136415473229 -8.452136415473227 -8.452136415473229c -4.667986045755371,-2.858317084699413e-16 -8.452136415473229,3.784150369717856 -8.452136415473229 8.452136415473225c -5.716634169398826e-16,4.667986045755371 3.7841503697178553,8.452136415473229 8.452136415473225 8.452136415473229c 4.667986045755371,8.574951254098238e-16 8.452136415473229,-3.784150369717855 8.452136415473229 -8.452136415473223Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(0,0,255)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 216.1411510643262,260.2163251813225 l 4.226068207736616,-7.319764852051359 l -4.226068207736612,-7.319764852051361 l -8.452136415473227,-2.815126936719335e-15 l -4.226068207736618,7.3197648520513585 l 4.226068207736609,7.319764852051364 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(75,0,130)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 161.65570510554411,149.11557960877153 l 1.3059268955782877,-4.019229707275688 l -1.3059268955782906,-4.019229707275688 l -3.418960999446597,-2.484020567689664 h -4.226068207736614 l -3.4189609994465977,2.4840205676896665 l -1.3059268955782877,4.019229707275688 l 1.3059268955782897,4.019229707275688 l 3.4189609994465973,2.484020567689665 h 4.226068207736614 Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 206.30578293337908,176.24771479997966 c 0.0,-2.3339930228776855 -1.8920751848589281,-4.226068207736614 -4.226068207736613 -4.226068207736614c -2.3339930228776855,-1.4291585423497065e-16 -4.226068207736614,1.892075184858928 -4.226068207736614 4.2260682077366125c -2.858317084699413e-16,2.3339930228776855 1.8920751848589277,4.226068207736614 4.2260682077366125 4.226068207736614c 2.3339930228776855,4.287475627049119e-16 4.226068207736614,-1.8920751848589275 4.226068207736614 -4.226068207736612Z" /></g><g stroke="rgb(0,0,0)" stroke-opacity="1.0" fill="rgb(255,0,0)" fill-opacity="1.0" stroke-width="1.0e-2" font-size="1.0em"><path d="M 224.13573300678235,180.25590582879298 l 2.113034103868308,-3.6598824260256797 l -2.113034103868306,-3.6598824260256806 l -4.226068207736613,-1.4075634683596676e-15 l -2.113034103868309,3.6598824260256793 l 2.1130341038683045,3.659882426025682 Z" /></g></g></svg>>>
-}