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# The MIT License
#
# All contents Copyright (c) 2004-2008 Reginald Braithwaite
# <http://braythwayt.com> except as otherwise noted.
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
# THE SOFTWARE.
#
# http://www.opensource.org/licenses/mit-license.php
def rotate(square)
if square.kind_of?(Enumerable) && square.size > 1
half_sz = square.size / 2
sub_square = lambda do |row, col|
square.slice(row, half_sz).map { |a_row|a_row.slice(col, half_sz) }
end
upper_left = rotate(sub_square.call(0,0))
lower_left = rotate(sub_square.call(half_sz,0))
upper_right = rotate(sub_square.call(0,half_sz))
lower_right = rotate(sub_square.call(half_sz,half_sz))
upper_right.zip(lower_right).map { |l,r| l + r } +
upper_left.zip(lower_left).map { |l,r| l + r }
else
square
end
end
p rotate([[1,2,3,4], [5,6,7,8], [9,10,11,12], [13,14,15,16]])
public
def rotate_2(value)
if rotate_divisible?(value)
rotate_recombine(
rotate_divide(value).map { |sub_value| rotate_2(sub_value) }
)
else
rotate_conquer(value)
end
end
private
def rotate_divisible?(value)
value.kind_of?(Enumerable) && value.size > 1
end
def rotate_conquer(value)
value
end
def rotate_divide(value)
half_sz = value.size / 2
sub_square = lambda do |row, col|
value.slice(row, half_sz).map { |a_row| a_row.slice(col, half_sz) }
end
upper_left = sub_square.call(0,0)
lower_left = sub_square.call(half_sz,0)
upper_right = sub_square.call(0,half_sz)
lower_right = sub_square.call(half_sz,half_sz)
[upper_left, lower_left, upper_right, lower_right]
end
def rotate_recombine(values)
upper_left, lower_left, upper_right, lower_right = values
upper_right.zip(lower_right).map { |l,r| l + r } +
upper_left.zip(lower_left).map { |l,r| l + r }
end
p rotate_2([[1,2,3,4], [5,6,7,8], [9,10,11,12], [13,14,15,16]])
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