Write a program or function that, given the coordinates of where a dart lands on a dartboard, return the score of that dart. Dart coordinates are given as two integers,
x,y measured from the center of the dartboard, with millimeter precision.
How to score a dart
Darts is a game played by throwing a dart at a circular board. The dart board is divided into 20 equally sized "wedges". Starting from the top and going clockwise, the sections have values of 20,1,18,4,13,6,10,15,2,17,3,19,7,16,8,11,14,9,12,5. If your dart lands in the black or white parts of any of the wedges, you score the value indicated on the outside of that wedge.
However, if your dart lands in the outer green/red ring of the dartboard, you score double the points indicated on the outside of the wedge that you hit. Likewise, hitting the inner green/red ring (the one in between the two white/black sections), you score triple the number indicated on the outside of the wedge. If your dart hits the innermost circle (the red bulls-eye) you instead score 50 points and finally, if your dart hits the second-innermost circle (the green ring around the bulls-eye), you score 25 points.
The dimensions of the rings, measured from the center of the dartboard, are as follows:
Bullseye (50): [0mm-6mm) 25: [6mm-16mm) Inner Single: [16mm-99mm) Triple: [99mm-107mm) Outer Single: [107mm-162mm) Double: [162mm-170mm) Miss (0): 170mm+
Note 1: Pictures provided are for illustration purposes only, and are not to scale.
Note 2: Measurements given are approximate, and may not be accurate to a real dartboard.
Note 3: All measurements given are
[inclusive-exclusive). For the purposes of this challenge, we're not going to worry about darts hitting the wire and bouncing off. If the dart lands "on the wire" with one of the radial lines, then it is up to the answerer to decide whether to break the tie clockwise or counter-clockwise. Tie breaking direction must be consistent, and indicated.
Note 4: Dartboard is hung in the standard way with the middle of the 20 section being directly above the bullseye, and the 3 section directly below the bullseye.
Two integers representing the
x,y coordinates of where the dart landed, measured in millimeters, relative to the center of the dartboard.
A single integer, for the number of points that would be awarded to a dart that landed at the given coordinates.
0,0 -> 50 2,101 -> 60 -163,-1 -> 22 6,18 -> 1 -6,18 -> 5 45,-169 -> 0 22, 22 -> 4 (if tie-broken clock-wise) 18(if tie-broken counter-clockwise) -150,0 -> 11 -150,-1 -> 11
code-golf. Fewest bytes in your source code wins.
-150,0which should both give
11and may be an edge case on some implementations, as this is the transition between theta converging to -pi and theta = +pi in polar coordinates. (My initial answer failed on the 2nd one.) \$\endgroup\$