2015-12-16 00:07:31 -05:00
|
|
|
# frozen_string_literal: false
|
2008-02-29 23:12:13 -05:00
|
|
|
module AllPairs
|
|
|
|
module_function
|
|
|
|
|
|
|
|
def make_prime(v)
|
|
|
|
return 2 if v < 2
|
|
|
|
ary = [true] * (v*2)
|
|
|
|
2.upto(Math.sqrt(ary.length).ceil) {|i|
|
|
|
|
return i if ary[i] && v <= i
|
|
|
|
(i*2).step(ary.length, i) {|j|
|
|
|
|
ary[j] = false
|
|
|
|
}
|
|
|
|
}
|
|
|
|
v.upto(ary.length-1) {|i|
|
|
|
|
return i if ary[i]
|
|
|
|
}
|
|
|
|
raise "[bug] prime not found greater than #{v}"
|
|
|
|
end
|
|
|
|
|
|
|
|
def make_basic_block(prime)
|
|
|
|
prime.times {|i|
|
|
|
|
prime.times {|j|
|
|
|
|
row = [i]
|
|
|
|
0.upto(prime-1) {|m|
|
|
|
|
row << (i*m + j) % prime
|
|
|
|
}
|
|
|
|
yield row
|
|
|
|
}
|
|
|
|
}
|
2009-03-05 22:56:38 -05:00
|
|
|
end
|
2008-02-29 23:12:13 -05:00
|
|
|
|
|
|
|
def combine_block(tbl1, tbl2)
|
|
|
|
result = []
|
|
|
|
tbl2.each {|row|
|
|
|
|
result << row * tbl1.first.length
|
|
|
|
}
|
|
|
|
tbl1.each_with_index {|row, k|
|
|
|
|
next if k == 0
|
|
|
|
result << row.map {|i| [i] * tbl2.first.length }.flatten
|
|
|
|
}
|
|
|
|
result
|
|
|
|
end
|
|
|
|
|
|
|
|
def make_large_block(v, prime)
|
|
|
|
if prime <= v+1
|
|
|
|
make_basic_block(v) {|row|
|
|
|
|
yield row
|
|
|
|
}
|
|
|
|
else
|
|
|
|
tbl = []
|
|
|
|
make_basic_block(v) {|row|
|
|
|
|
tbl << row
|
2009-03-05 22:56:38 -05:00
|
|
|
}
|
2008-02-29 23:12:13 -05:00
|
|
|
tbls = [tbl]
|
|
|
|
while tbl.first.length ** 2 < prime
|
|
|
|
tbl = combine_block(tbl, tbl)
|
|
|
|
tbls << tbl
|
|
|
|
end
|
|
|
|
tbl1 = tbls.find {|t| prime <= t.first.length * tbl.first.length }
|
|
|
|
tbl = combine_block(tbl, tbl1)
|
|
|
|
tbl.each {|row|
|
|
|
|
yield row
|
|
|
|
}
|
|
|
|
end
|
|
|
|
end
|
|
|
|
|
|
|
|
def each_index(*vs)
|
|
|
|
n = vs.length
|
|
|
|
max_v = vs.max
|
|
|
|
h = {}
|
|
|
|
make_large_block(max_v, n) {|row|
|
|
|
|
row = vs.zip(row).map {|v, i| i % v }
|
|
|
|
next if h[row]
|
|
|
|
h[row] = true
|
|
|
|
yield row
|
|
|
|
}
|
|
|
|
end
|
|
|
|
|
|
|
|
# generate all pairs test.
|
|
|
|
def each(*args)
|
|
|
|
args.map! {|a| a.to_a }
|
|
|
|
each_index(*args.map {|a| a.length}) {|is|
|
|
|
|
yield is.zip(args).map {|i, a| a[i] }
|
|
|
|
}
|
|
|
|
end
|
|
|
|
|
|
|
|
# generate all combination in cartesian product. (not all-pairs test)
|
|
|
|
def exhaustive_each(*args)
|
|
|
|
args = args.map {|a| a.to_a }
|
|
|
|
i = 0
|
|
|
|
while true
|
|
|
|
n = i
|
|
|
|
as = []
|
|
|
|
args.reverse_each {|a|
|
|
|
|
n, m = n.divmod(a.length)
|
|
|
|
as.unshift a[m]
|
|
|
|
}
|
|
|
|
break if 0 < n
|
|
|
|
yield as
|
|
|
|
i += 1
|
|
|
|
end
|
|
|
|
end
|
|
|
|
end
|