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Module:Math



-- Unit tests for [[Module:Math/sandbox]]. Click talk page to run tests.

local moduleName = 'Math/sandbox' -- assigning this to a variable as it is later used to generate an #invoke statement.
local mm = require('Module:' .. moduleName)
local ScribuntoUnit = require('Module:ScribuntoUnit')
local suite = ScribuntoUnit:new()

-------------------------------------------------------------------------------
-- Helper functions
-------------------------------------------------------------------------------

function suite.err(msg) 
	return mw.ustring.format('<strong class="error">Formatting error: %s</strong>', msg)
end

function suite.getLuaResult(funcName, args)
	args = args or {}
	local result = mm['_' .. funcName](unpack(args))
	return result
end

function suite:assertLuaEquals(expected, funcName, args)
	args = args or {}
	self:assertEquals(expected, self.getLuaResult(funcName, args))
end

function suite.buildInvocation(funcName, args)
	args = args or {}
	local argsClone = mw.clone(args)
	-- Build a module invocation equivalent to the args table. Taken from [[Module:Unsubst]].
	-- Numbered args first.
	local ret = '{{#invoke:' .. moduleName .. '|' .. funcName
	for k, v in ipairs(argsClone) do
		v = tostring(v)
		if string.find(v, '=', 1, true) then
			-- likely something like 1=foo=bar, we need to do it as a named arg
			break
		end
		ret = ret .. '|' .. v
		argsClone[k] = nil
	end
	for k, v in pairs(argsClone) do
		k = tostring(k)
		v = tostring(v)
		ret = ret .. '|' .. k .. '=' .. v
	end
	return ret .. '}}'
end

function suite:getInvokeResult(funcName, args, convertNumber) -- Unless convertNumber is false, the number is converted to a number, if possible, on re-entry to Lua.
	args = args or {}
	local invocation = self.buildInvocation(funcName, args)
	local result = self.frame:preprocess(invocation)
	if convertNumber ~= false and tonumber(result) then
		return tonumber(result)
	else
		return result
	end
end

function suite:assertInvokeEquals(expected, funcName, args, convertNumber)
	args = args or {}
	local invokeResult = self:getInvokeResult(funcName, args, convertNumber)
	self:assertEquals(expected, invokeResult)
end

function suite:assertLuaAndInvokeTrue(trueFunc, funcName, args, convertNumber)
	args = args or {}
	local invokeResult = self:getInvokeResult(funcName, args, convertNumber)
	local luaResult = self.getLuaResult(funcName, args)
	self:assertTrue(trueFunc(invokeResult))
	self:assertTrue(trueFunc(luaResult))
end

function suite:assertLuaAndInvokeEqual(funcName, testTable, convertNumber)
	local expected = testTable[1]
	local args = testTable[2] or {}
	self:assertLuaEquals(expected, funcName, args)
	self:assertInvokeEquals(expected, funcName, args, convertNumber)
end

function suite:assertLuaAndInvokeEqualMany(funcName, testTables, convertNumber)
	for i, testTable in ipairs(testTables) do
		self:assertLuaAndInvokeEqual(funcName, testTable, convertNumber)
	end
end

-------------------------------------------------------------------------------
-- Test random
-------------------------------------------------------------------------------

function suite:test_random()
	self:assertLuaAndInvokeTrue(function (n) return n >= 0 and n < 1 end, 'random')
	self:assertLuaAndInvokeTrue(function (n) return n == 1 or n == 2 end, 'random', {2})
	self:assertLuaAndInvokeTrue(function (n) return n >= 1 and n <= 10 and math.floor(n) == n end, 'random', {10})
	self:assertLuaAndInvokeTrue(function (n) return n >= 10 and n <= 20 and math.floor(n) == n end, 'random', {10, 20})
end

-------------------------------------------------------------------------------
-- Test max
-------------------------------------------------------------------------------
 
function suite:test_max()
	local tests = {
		{9, {5, 6, 9}},
		{-5, {-5, -6, -9}},
	}
	self:assertLuaAndInvokeEqualMany('max', tests)
	self:assertLuaEquals(nil, 'max', {})
	self:assertInvokeEquals('', 'max', {})
end

-------------------------------------------------------------------------------
-- Test average
-------------------------------------------------------------------------------

function suite:test_average()
	local tests = {
		{6, {5, 6, 7}},
		{-7, {-7}},
		{10000000002, {10000000001, 10000000002, 10000000003}},
	}
	self:assertLuaAndInvokeEqualMany('average', tests)
end
 
-------------------------------------------------------------------------------
-- Test min
-------------------------------------------------------------------------------

function suite:test_min()
	local tests = {
		{1, {1, 2, 3}},
		{-3, {-1, -2, -3}},
	}
	self:assertLuaAndInvokeEqualMany('min', tests)
	self:assertLuaEquals(nil, 'min', {})
	self:assertInvokeEquals('', 'min', {})
end

-------------------------------------------------------------------------------
-- Test gcd
-------------------------------------------------------------------------------

function suite:test_gcd()
	local tests = {
		{4, {12, 8}},
		{2, {12, 8, 6}},
		{4, {-12, -8}},
		{2, {-12, -8, -6}},
		{8, {0, 8}},
		{8, {0, -8}},
		{0, {0}},
		{0, {0, 0}},
		{4, {12, nil, 8}},
	}
	self:assertLuaAndInvokeEqualMany('gcd', tests)
end

-------------------------------------------------------------------------------
-- Test order
-------------------------------------------------------------------------------

function suite:test_order()
	local tests = {
		{0, {2}},
		{1, {20}},
		{2, {200}},
		{0, {5}},
	}
	self:assertLuaAndInvokeEqualMany('order', tests)
	self:assertInvokeEquals(suite.err('order of magnitude input appears non-numeric'), 'order', {'string'})
	self:assertInvokeEquals(0, 'order', {x = 5})
end

-------------------------------------------------------------------------------
-- Test precision
-------------------------------------------------------------------------------

function suite:test_precison()
	local tests = {
		{4, {1.9856}},
		{1, {1.1}},
		{10, {1.9999999999}},
		{9, {0.000020004}},
	}
	self:assertLuaAndInvokeEqualMany('precision', tests)
	self:assertInvokeEquals(suite.err('precision input appears non-numeric'), 'precision', {'letra'})
	self:assertInvokeEquals(4, 'precision', {x = '1.9888'})
end

-------------------------------------------------------------------------------
-- Test round
-------------------------------------------------------------------------------

function suite:test_round()
	local tests = {
		{2, {1.99999}},
		{2, {1.99999, 0}},
		{1.9, {1.94, 1}},
		{20, {15, -1}},
		{2.0004e-05, {0.000020004}}, -- broken and returns 0 due to limit of order -5 of phps floating number 
		{2.0004e-05, {0.000020004, mm._precision(0.000020004)}}, -- works
	}
	self:assertLuaAndInvokeEqualMany('round', tests)
	self:assertInvokeEquals(3, 'round', {value = '2.99999', precision = '2'})
end

-------------------------------------------------------------------------------
-- Test mod
-------------------------------------------------------------------------------

function suite:test_mod()
	local tests = {
		{0, {10, 2}},
		{1, {11, 2}},
		{0, {525000000000000120000000000, 3}}, -- With the plain % operator this returns 68719476736 due to floating point error.
	}
	self:assertLuaAndInvokeEqualMany('mod', tests)
	self:assertInvokeEquals(suite.err('first argument to mod appears non-numeric'), 'mod', {})
	self:assertInvokeEquals(suite.err('second argument to mod appears non-numeric'), 'mod', {1})
	local successNoArgs = pcall(mm._mod)
	self:assertFalse(successNoArgs)
	local successOneArg = pcall(mm._mod, 1)
	self:assertFalse(successOneArg)
end

-------------------------------------------------------------------------------
-- Test precision format
-------------------------------------------------------------------------------

function suite:test_precison_format()
	local tests = {
		{'10.00', {10, 2}},
		{'2.00<span style="margin:0 .15em 0 .25em">×</span>10<sup>−5</sup>', {0.000020004, 7}}
	}
	self:assertLuaAndInvokeEqualMany('precision_format', tests, false) -- the "false" stops string values being converted to numbers on re-entry from #invoke.
end

-------------------------------------------------------------------------------
-- Test cleanNumber
-------------------------------------------------------------------------------

function suite:assertCleanNumberEquals(expectedTable, inputString)
	local expectedNum, expectedNumString = expectedTable[1], expectedTable[2]
	local actualNum, actualNumString = mm._cleanNumber(inputString)
	self:assertEquals(expectedNum, actualNum)
	self:assertEquals(expectedNumString, actualNumString)
end

function suite:test_cleanNumber()
	self:assertCleanNumberEquals({0, '0'}, '0')
	self:assertCleanNumberEquals({1, '1'}, 1)
	self:assertCleanNumberEquals({2, '2'}, '  2  ')
	self:assertCleanNumberEquals({3, '3'}, '4-1')
	self:assertCleanNumberEquals({4, '4'}, '2 + 2')
	self:assertCleanNumberEquals({5, '5'}, '  2 + 3  ')
	self:assertCleanNumberEquals({6, '6'}, '+6')
	self:assertCleanNumberEquals({-7, '-7'}, '-7')
	self:assertCleanNumberEquals({88, '88'}, '0x58')
	self:assertCleanNumberEquals({1000000000, '1e+9'}, '1e+9')
	self:assertCleanNumberEquals({-88, '-88'}, '-0x58')
	self:assertCleanNumberEquals({0.16667, '0.16667'}, '1/6 round 5')
	self:assertCleanNumberEquals({nil, nil}, '1 foo 2') -- invalid expression
	self:assertCleanNumberEquals({nil, nil}, '1+') -- missing expr operand
	self:assertCleanNumberEquals({nil, nil}, '')
	self:assertCleanNumberEquals({nil, nil}, '  ')
	self:assertCleanNumberEquals({nil, nil}, 'string')
	self:assertCleanNumberEquals({nil, nil}, '  string with padding  ')
end
-------------------------------------------------------------------------------
-- Test divide
-------------------------------------------------------------------------------

function suite:test_divide() 
	self:assertInvokeEquals('1','divide',{1, 2, round = 'yes'}, false)
	self:assertInvokeEquals('0.5','divide',{1, 2, round = 'no'}, false)
	self:assertInvokeEquals('0','divide',{1, 3, round = 'yes', precision=2}, false)
	self:assertInvokeEquals('0.33','divide',{1, 3, precision=2}, false)
	self:assertInvokeEquals(suite.err('Empty dividend'),'divide',{'',2},false)
	self:assertInvokeEquals(suite.err('Empty divisor'),'divide',{1,''},false)
	self:assertInvokeEquals(suite.err('Empty divisor'),'divide',{},false)
	self:assertInvokeEquals(suite.err('Empty divisor'),'divide',{'',''},false)
	self:assertInvokeEquals(suite.err('Not a number: a'),'divide',{'a',2},false)
	self:assertInvokeEquals(suite.err('Not a number: b'),'divide',{1,'b'},false)
	self:assertInvokeEquals(suite.err('Not a number: b'),'divide',{'a','b'},false)
	self:assertInvokeEquals('<big>Bad</big>','divide',{'<big>Bad</big>',2},false)
	self:assertInvokeEquals('<big>Bad</big>','divide',{1,'<big>Bad</big>'},false)
	self:assertInvokeEquals('<big>Bad2</big>','divide',{'<big>Bad1</big>','<big>Bad2</big>'},false)
end
return suite