모듈:NumberTheory 문서 원본 보기

local getArgs = require('모듈:Arguments').getArgs
local p = {}

function _powerMod( root, expo, modulo )
	local BaseConvert = require( '모듈:BaseConvert' );
	local power = 1;
	local expo2 = BaseConvert.convert({n = expo, base = 2});
	local i;
	for i = 1, #expo2 do
		power = (power * power) % modulo;
		power = power * (root ^ expo2:sub(i,i)) % modulo;
		end
	return power
end

function p.powerMod(frame)
	local args
    if frame == mw.getCurrentFrame() then
        args = frame.args
    else
        args = frame
    end
    
    local root = args.root
    local expo = args.expo
    local modulo = args.modulo
    
    return _powerMod( root, expo, modulo )
end

function _gcd( x, y )
	if ( x == math.floor(x) and y == math.floor(y) ) then
		local a = math.abs(x);
		local b = math.abs(y);
		local c;
		while c ~= 0 do
			c = a % b;
			a = b;
			b = c;
		end
		return a
	else return nil
	end
end
		

function p.gcd(frame)
	local args = getArgs(frame)
	local listformat = args['format']
	local i;
	local gc = args[1]
	for i = 2, #args do
		gc = _gcd( gc, args[i] )
	end
	return gc
end

return p