# Line smoothing - minimum angle

Model was written in NetLogo 5.3.1
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globals [Bm Bb Am Ab ang ang1 ang2 p-1_p1_hyp p_p1_hyp p-1_p_hyp A1x A1y A2x A2y B1x B1y B2x B2y Ix Iy thisdist pntlist deg r deglist rlist pos wholist p-1x p-1y px py p1x p1y two_who_list x1 y1 x2 y2 hyp] turtles-own [jag medianx mediany] to setup ca set deglist [] set rlist [] repeat Point_count [ set deg random 360 set r (max-pxcor * (inner / 100)) + random (max-pxcor * (outer / 100) - max-pxcor * (inner / 100)) set deglist lput deg deglist set rlist lput r rlist ] set deglist sort deglist set pos -1 repeat Point_count [ set pos pos + 1 crt 1 [set label jag set size 3 set shape "dot" set heading item pos deglist jump item pos rlist] ] calcjag drawlinks end to plot_angles set-current-plot "Angles" histogram [jag] of turtles set-current-plot "Radius" histogram [distance patch 0 0] of turtles end to noise ask turtles [set heading random 360 jump random noise_distance] calcjag drawlinks plot_angles end to dropjag ask turtles with [jag < angle_threshold] [die] calcjag drawlinks plot_angles end to gomedian ask turtles with [jag < angle_threshold] [carefully [set xcor medianx set ycor mediany][]] calcjag drawlinks plot_angles end to drawlinks set wholist [] ask turtles[set wholist lput who wholist] set wholist sort wholist set pos 0 repeat (length wholist - 1) [ set pos pos + 1 ask turtle (item pos wholist) [create-link-with turtle (item (pos - 1) wholist)]] ask turtle (last wholist) [create-link-with turtle (first wholist)] end to calcjag set wholist [] ask turtles[set wholist lput who wholist] set wholist sort wholist set wholist lput first wholist wholist set wholist lput item 1 wholist wholist set pos 0 repeat (length wholist - 2) [ set pos pos + 1 set p-1x [xcor] of turtle (item (pos - 1) wholist) set p-1y [ycor] of turtle (item (pos - 1) wholist) set px [xcor] of turtle (item pos wholist) set py [ycor] of turtle (item pos wholist) set p1x [xcor] of turtle (item (pos + 1) wholist) set p1y [ycor] of turtle (item (pos + 1) wholist) set p-1_p_hyp hypot p-1x p-1y px py set p_p1_hyp hypot px py p1x p1y set p-1_p1_hyp hypot p1x p1y p-1x p-1y ifelse ((p-1_p_hyp < p_p1_hyp) and (p-1_p1_hyp < p_p1_hyp)) [ ; p_p1_hyp is the longest side of the triangle carefully [set ang (asin ((p2l_dist px py p1x p1y p-1x p-1y) / p-1_p_hyp))][set ang 0] ] [ifelse (p-1_p1_hyp < p-1_p_hyp) and (p_p1_hyp < p-1_p_hyp)[ ; AB is the longest side of the triangle carefully [set ang (asin ((p2l_dist p-1x p-1y px py p1x p1y) / p_p1_hyp))][set ang 0] ] [; AC is the longest side of the triangle carefully [set ang1 (asin ((p2l_dist p1x p1y p-1x p-1y px py) / p_p1_hyp))][set ang1 0] carefully [set ang2 (asin ((p2l_dist p1x p1y p-1x p-1y px py) / p-1_p_hyp))][set ang1 0] set ang 180 - (ang1 + ang2) ] ] ask turtle item pos wholist [set jag int ang set label jag set medianx (first calcmedian p-1x p-1y px py p1x p1y) set mediany (last calcmedian p-1x p-1y px py p1x p1y)] plot_angles ] set wholist but-last but-last wholist end to-report hypot [a b c d] report (((a - c) ^ 2) + ((b - d) ^ 2)) ^ 0.5 end to-report p2l_dist [a b c d f g] set A1x a set A1y b set A2x c set A2y d set B1x f set B1y g set Am (A1y - A2y) / (A1x - A2x) set Ab A1y - (Am * A1x) set Bm -1 / Am set Bb B1y - (Bm * B1x) ;get the y intercept ;solve for point intersection at right angle set Ix ((Bb - Ab) / (Bm - Am)) * -1 set Iy Bm * Ix + Bb report hypot B1x B1y Ix Iy end to-report calcmedian [ax ay bx by cx cy] ;show (se ax ay bx by cx cy) ;line A carefully [ ;if there's an error (division by 0) then set the median to the current turtle coordinates set A1x (ax + cx) / 2 set A1y (ay + cy) / 2 set Am (A1y - by) / (A1x - bx) set Ab A1y - (Am * A1x) ;show (se A1x A1y Am Ab) ;line B set B1x (ax + bx) / 2 set B1y (ay + by) / 2 set Bm (B1y - cy) / (B1x - cx) set Bb B1y - (Bm * B1x) ;show (se B1x B1y Bm Bb) ;lines A and B intersect set Ix ((Bb - Ab) / (Bm - Am)) * -1 set Iy (Bm * Ix) + Bb ] [set Ix bx set Iy by] report (list Ix Iy) end

There is only one version of this model, created over 3 years ago by Eugene Martin.

## Attached files

File | Type | Description | Last updated | |
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Line smoothing - minimum angle.png | preview | Preview for 'Line smoothing - minimum angle' | over 3 years ago, by Eugene Martin | Download |

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