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nth fib with Matrix exponentiation in Ruby
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require 'matrix' | |
def fib n | |
matrix = Matrix[[0, 1], [1, 1]] ** n.pred | |
matrix[1, 1].to_i | |
end | |
require 'minitest/autorun' | |
require 'minitest/pride' | |
describe 'fib' do | |
it 'does nth positive fib' do | |
assert_equal fib(0), 0 | |
assert_equal fib(1), 1 | |
assert_equal fib(2), 1 | |
assert_equal fib(3), 2 | |
assert_equal fib(4), 3 | |
assert_equal fib(5), 5 | |
assert_equal fib(6), 8 | |
assert_equal fib(7), 13 | |
assert_equal fib(8), 21 | |
end | |
it 'does nth negative fib' do | |
assert_equal fib(-1), 1 | |
assert_equal fib(-2), -1 | |
assert_equal fib(-3), 2 | |
assert_equal fib(-4), -3 | |
assert_equal fib(-5), 5 | |
assert_equal fib(-6), -8 | |
assert_equal fib(-7), 13 | |
assert_equal fib(-8), -21 | |
end | |
end |
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