Sailing boat - algorithm beating or not

hello everyone

i have problems designing algorithm rc sailing boat decides if course given possible sail or if necessary go beating.

i have given direction of wind, can calculated direction relative boat , compass, , direction boat should go transferred arduino rc.

my trouble define sector of circle (0-359degrees), in boat has beat , cannot sail directly.
my idea define : direction ok if smaller wind direction - 35 degrees, or bigger wind direction + 35 degrees.
this unfortunately works if north (0 degrees) between these 2 boundaries. don't know how define case e.g. sector 280 - 350 degrees.

i hope understandable mean, thank
ps: please link me topic problem discussed, didn't find :/

you can add current heading (compass input) relative wind direction (direction indicator input)  absolute wind direction.  can compare absolute wind direction desired heading see desired heading close wind.

for example:
      current heading:   45°
      relative wind:   coming 210°
      absolute wind:  255° (210+45+360 modulo 360)
      available headings:   below 220° (255-35+360 modulo 360) , above 290° (255+35+360 modulo 360)

if math crosses 0° boundary:
      current heading:   55°
      relative wind:   coming 310°
      absolute wind:  5° (310°+55°+360 modulo 360)
      available headings:   below 330° (5-35+360 modulo 360) , above 40° (5+35+360 modulo 360)

note: integer modulo operator %

code: [select]

absolutewind = (currentheading + relatvewind + 360) % 360;

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