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|
#!/usr/bin/env ruby
HORIZONTAL_STDEV = 24
VERTICAL_STDEV = 24
# board spec from WDF rules
WIRE_WIDTH = 1.56
INNER_DIAMETER_BULL = 12.7
INNER_DIAMETER_25 = 31.8
DOUBLE_OUTER_EDGE = 170.0
TREBLE_OUTER_EDGE = 107.4
DOUBLE_INSIDE_WIDTH = 8.0
TREBLE_INSIDE_WIDTH = 8.0
SECTORS = %w[20 1 18 4 13 6 10 15 2 17 3 19 7 16 8 11 14 9 12 5].map(&:to_i)
SECTOR_ANGLES = SECTORS.each_with_index.inject({}) do |m, (v, i)|
m[v] = (90 - (i * 360 / SECTORS.length)) % 360
m
end
# distance from centre to apex of outer wire
# must be ordered outwards from centre
OUTER_DISTS = {
bull: INNER_DIAMETER_BULL/2 + WIRE_WIDTH/2,
'25': INNER_DIAMETER_25/2 + WIRE_WIDTH/2,
small: TREBLE_OUTER_EDGE - WIRE_WIDTH - TREBLE_INSIDE_WIDTH - WIRE_WIDTH/2,
treble: TREBLE_OUTER_EDGE - WIRE_WIDTH/2,
big: DOUBLE_OUTER_EDGE - WIRE_WIDTH - DOUBLE_INSIDE_WIDTH - WIRE_WIDTH/2,
double: DOUBLE_OUTER_EDGE - WIRE_WIDTH/2
}
CENTRE_DISTS = OUTER_DISTS.inject([{}, nil]) { |(h, prev), (k, v)|
h[k] = prev ? (v - ((v - prev) / 2)) : 0.0
[h, v]
}[0]
def get_coordinates(angle, radius)
t = angle * Math::PI / 180
x = radius * Math.cos(t)
y = radius * Math.sin(t)
[x, y]
end
def gauss
theta = 2 * Math::PI * rand
r = Math.sqrt(-2 * Math.log(1 - rand))
[r * Math.cos(theta), r * Math.sin(theta)]
end
def throw_dart(angle, radius)
x, y = get_coordinates(angle, radius)
x_offset, y_offset = gauss
x += HORIZONTAL_STDEV * x_offset
y += VERTICAL_STDEV * y_offset
d_angle = Math.atan2(y, x) * 180 / Math::PI
d_radius = Math.sqrt(x**2 + y**2)
[d_angle, d_radius]
end
def get_sector(angle)
sector = SECTOR_ANGLES.detect do |v, c|
dist = (c - angle).abs % 360
dist = 360 - dist if dist > 180
dist < 360 / SECTORS.length / 2 #TODO hit wire
end
sector && sector.first
end
def get_ring(radius)
ring = OUTER_DISTS.detect do |sym, dist|
radius**2 < dist**2
end
ring ? ring[0] : :out
end
def get_segment(angle, radius)
sec = get_sector(angle)
ring = get_ring(radius)
case ring
when :bull
'BULL'
when :'25'
'25'
when :small, :big
"#{sec}"
when :double
"D#{sec}"
when :treble
"T#{sec}"
when :out
'OUT'
end
end
def get_points(segment)
case segment
when 'BULL'
50
when /^T(\d+)$/
3 * $1.to_i
when /^D(\d+)$/
2 * $1.to_i
when /^(\d+)$/
$1.to_i
else
0
end
end
def get_segment_coordinates(segment)
sector, ring =
case segment
when 'BULL'
[20, :bull]
when '25'
[20, :'25']
when /^T(\d+)$/
[$1.to_i, :treble]
when /^D(\d+)$/
[$1.to_i, :double]
when /^(\d+)$/
[$1.to_i, :big]
end
[SECTOR_ANGLES[sector], CENTRE_DISTS[ring]]
end
def next_dart(rem)
segment =
if rem > 40
'T20'
elsif rem % 2 == 1
'1'
else
"D#{rem/2}"
end
get_segment_coordinates(segment)
end
def play_visit(rem)
v_rem = rem
darts = []
bust = false
3.times do
t_angle, t_radius = next_dart(v_rem)
d_angle, d_radius = throw_dart(t_angle, t_radius)
segment = get_segment(d_angle, d_radius)
darts << segment
d_points = get_points(segment)
v_rem -= d_points
if v_rem < 0 || v_rem == 1 || (v_rem == 0 && segment !~ /^D/)
v_rem = rem
bust = true
break
end
break if v_rem.zero?
end
[v_rem, rem - v_rem, darts, bust]
end
def colour_points(points)
str = "%3s" % points
if points == 180
"\e[1;38;5;82m#{str}\e[0m"
elsif points > 139
"\e[38;5;82m#{str}\e[0m"
elsif points > 99
"\e[38;5;154m#{str}\e[0m"
elsif points > 59
"\e[38;5;226m#{str}\e[0m"
elsif points > 39
"\e[38;5;214m#{str}\e[0m"
elsif points > 19
"\e[38;5;202m#{str}\e[0m"
else
"\e[38;5;196m#{str}\e[0m"
end
end
def visit_darts(darts)
str = darts.map { |x| '%3s' % x }.join(' ')
str += ' ' * (3 - darts.length)
str
end
def output_visit(n, rem, points = nil, darts = nil, bust = false)
str = '(%2s) %3s' % [n, rem]
str << ' %s' % colour_points(points) if points
str << " \e[38;5;235m%s\e[0m" % visit_darts(darts) if darts
str << " \e[38;5;88mBUST\e[0m" if bust
str << " \e[38;5;76mWIN\e[0m" if rem.zero?
puts str
end
def play_match(start_points = 501, output = true)
rem = start_points
m_darts = []
output_visit(m_darts.length, rem) if output
while rem != 0
rem, points, darts, bust = play_visit(rem)
m_darts << darts
output_visit(m_darts.length, rem, points, darts, bust) if output
if rem.zero? && output
puts
req = (((m_darts.length - 1) * 3) + m_darts[-1].length)
puts "darts: %s" % req
puts "average: %.2f" % (start_points.to_f / req * 3)
end
end
m_darts
end
def test_average
avgs = (0..10000).map do |x|
m_darts = play_match(501, false)
req = (((m_darts.length - 1) * 3) + m_darts[-1].length)
(501.to_f / req * 3)
end
avg = avgs.sum / avgs.length
stdev = Math.sqrt(avgs.sum { |x| (x - avg) ** 2 } / (avgs.length - 1))
puts
puts avg
puts stdev
end
play_match
#test_average
|
