Module:Exponential search: Difference between revisions

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Template>Mr. Stradivarius
(change names after page move)
Template>Mr. Stradivarius
(specify a lower bound of 0 initially so that we don't have to do it on every recursion)
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else
else
upper = i
upper = i
lower = lower or 0
i = midPoint(lower, upper)
i = midPoint(lower, upper)
return search(testFunc, i, lower, upper)
return search(testFunc, i, lower, upper)
Line 42: Line 41:
return nil
return nil
end
end
return search(testFunc, init)
return search(testFunc, init, 0, nil)
end
end

Revision as of 19:06, 25 February 2015

Documentation for this module may be created at Module:Exponential search/doc

-- This module provides a generic exponential search algorithm.

local checkType = require('libraryUtil').checkType
local floor = math.floor

local function midPoint(lower, upper)
	return floor(lower + (upper - lower) / 2)
end

local function search(testFunc, i, lower, upper)
	if testFunc(i) then
		if i + 1 == upper then
			return i
		end
		lower = i
		if upper then
			i = midPoint(lower, upper)
		else
			i = i * 2
		end
		return search(testFunc, i, lower, upper)
	else
		upper = i
		i = midPoint(lower, upper)
		return search(testFunc, i, lower, upper)
	end
end

return function (testFunc, init)
	checkType('Exponential search', 1, testFunc, 'function')
	checkType('Exponential search', 2, initNum, 'number', true)
	if init and (init < 1 or init ~= floor(init) or init == math.huge) then
		error(string.format(
			"invalid init value '%s' detected in argument #2 to " ..
			"'Exponential search' (init values must be a positive integer)",
			tostring(init)
		), 2)
	end
	init = init or 1
	if not testFunc(1) then
		return nil
	end
	return search(testFunc, init, 0, nil)
end