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Module:Math: Difference between revisions

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Module:Math (edit)

Revision as of 02:57, 1 October 2018

818 bytes added ,  1 October 2018
fix calculation
(صفحه‌ای تازه حاوی «--This module provides a number of basic mathematical operations. local yesno = require('Module:Yesno') local getArgs = require('M...» ایجاد کرد)
 
(fix calculation)
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]]
]]


local yesno = require('Module:Yesno')
local yesno, getArgs -- lazily initialized
local getArgs = require('Module:Arguments').getArgs


local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules.
local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules.
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local function err(msg)
local function err(msg)
-- Generates wikitext error messages.
-- Generates wikitext error messages.
return mw.ustring.format('<strong class="error">خطای قالب‌بندی: %s</strong>', msg)
return mw.ustring.format('<strong class="error">Formatting error: %s</strong>', msg)
end
end


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end
end


local function applyFuncToArgs(func, ...)
local function fold(func, ...)
-- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters,
-- Use a function on all supplied arguments, and return the result. The function must accept two numbers as parameters,
-- and must return a number as an output. This number is then supplied as input to the next function call.
-- and must return a number as an output. This number is then supplied as input to the next function call.
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end
end
return ret, count
return ret, count
end
--[[
Fold arguments by selectively choosing values (func should return when to choose the current "dominant" value).
]]
local function binary_fold(func, ...)
local value = fold((function(a, b) if func(a, b) then return a else return b end end), ...)
return value
end
end


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local input_number = p._cleanNumber(input_string);
local input_number = p._cleanNumber(input_string);
if input_number == nil then
if input_number == nil then
return err('ورودی مرتبه بزرگی بنظر می‌آید غیر عددی باشد')
return err('order of magnitude input appears non-numeric')
else
else
return p._order(input_number)
return p._order(input_number)
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local input_number;
local input_number;


if not yesno then
yesno = require('Module:Yesno')
end
if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]].
if yesno(trap_fraction, true) then -- Returns true for all input except nil, false, "no", "n", "0" and a few others. See [[Module:Yesno]].
local pos = string.find(input_string, '/', 1, true);
local pos = string.find(input_string, '/', 1, true);
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input_number, input_string = p._cleanNumber(input_string);
input_number, input_string = p._cleanNumber(input_string);
if input_string == nil then
if input_string == nil then
return err('ورودی دقت بنظر می‌آید غیر عددی باشد')
return err('precision input appears non-numeric')
else
else
return p._precision(input_string)
return p._precision(input_string)
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return result
return result
end
end


--[[
--[[
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function p._max(...)
function p._max(...)
local function maxOfTwo(a, b)
local max_value = binary_fold((function(a, b) return a > b end), ...)
if a > b then
return a
else
return b
end
end
local max_value = applyFuncToArgs(maxOfTwo, ...)
if max_value then
if max_value then
return max_value
return max_value
end
end
--[[
median
Find the median of set of numbers
Usage:
{{#invoke:Math | median | number1 | number2 | ...}}
OR
{{#invoke:Math | median }}
]]
function wrap.median(args)
return p._median(unpackNumberArgs(args))
end
function p._median(...)
local vals = makeArgArray(...)
local count = #vals
table.sort(vals)
if count == 0 then
return 0
end
if p._mod(count, 2) == 0 then
return (vals[count/2] + vals[count/2+1])/2
else
return vals[math.ceil(count/2)]
end
end
end
end
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function p._min(...)
function p._min(...)
local function minOfTwo(a, b)
local min_value = binary_fold((function(a, b) return a < b end), ...)
if a < b then
return a
else
return b
end
end
local min_value = applyFuncToArgs(minOfTwo, ...)
if min_value then
if min_value then
return min_value
return min_value
end
end
--[[
sum
Finds the sum
Usage:
{{#invoke:Math| sum | value1 | value2 | ... }}
OR
{{#invoke:Math| sum }}
Note, any values that do not evaluate to numbers are ignored.
]]
function wrap.sum(args)
return p._sum(unpackNumberArgs(args))
end
function p._sum(...)
local sums, count = fold((function(a, b) return a + b end), ...)
if not sums then
return 0
else
return sums
end
end
end
end
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function p._average(...)
function p._average(...)
local function getSum(a, b)
local sum, count = fold((function(a, b) return a + b end), ...)
return a + b
end
local sum, count = applyFuncToArgs(getSum, ...)
if not sum then
if not sum then
return 0
return 0
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local precision = p._cleanNumber(args[2] or args.precision or 0)
local precision = p._cleanNumber(args[2] or args.precision or 0)
if value == nil or precision == nil then
if value == nil or precision == nil then
return err('ورودی گرد بنظر می‌آید غیر عددی باشد')
return err('round input appears non-numeric')
else
else
return p._round(value, precision)
return p._round(value, precision)
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local rescale = math.pow(10, precision or 0);
local rescale = math.pow(10, precision or 0);
return math.floor(value * rescale + 0.5) / rescale;
return math.floor(value * rescale + 0.5) / rescale;
end
--[[
log10
returns the log (base 10) of a number
Usage:
{{#invoke:Math | log10 | x }}
]]
function wrap.log10(args)
return math.log10(args[1])
end
end


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local y = p._cleanNumber(args[2])
local y = p._cleanNumber(args[2])
if not x then
if not x then
return err('نخستین آرگومان برای mod بنظر می‌آید غیر عددی باشد')
return err('first argument to mod appears non-numeric')
elseif not y then
elseif not y then
return err('دومین آرگومان برای mod بنظر می‌آید غیر عددی باشد')
return err('second argument to mod appears non-numeric')
else
else
return p._mod(x, y)
return p._mod(x, y)
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return oldr
return oldr
end
end
local result, count = applyFuncToArgs(findGcd, ...)
local result, count = fold(findGcd, ...)
return result
return result
end
end
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-- Check for non-numeric input
-- Check for non-numeric input
if value == nil or precision == nil then
if value == nil or precision == nil then
return err('ورودی نامعتبر هنگام گرد کردن')
return err('invalid input when rounding')
end
end


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end     
end     


formatted_num = formatted_num .. '<span style="margin:0 .25em 0 .15em">×</span>۱۰<sup>' .. order .. '</sup>'
formatted_num = formatted_num .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>'
end
end


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-- If failed, attempt to evaluate input as an expression
-- If failed, attempt to evaluate input as an expression
if number == nil then
if number == nil then
local frame = mw.getCurrentFrame()
local success, result = pcall(mw.ext.ParserFunctions.expr, number_string)
local attempt = frame:callParserFunction('#expr', number_string)
if success then
attempt = tonumber(attempt)
number = tonumber(result)
if attempt ~= nil then
number = attempt
number_string = tostring(number)
number_string = tostring(number)
else
else
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]]
]]


local function makeWrapper(funcName)
local mt = { __index = function(t, k)
return function (frame)
return function(frame)
local args = getArgs(frame) -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed.
if not getArgs then
return wrap[funcName](args)
getArgs = require('Module:Arguments').getArgs
end
return wrap[k](getArgs(frame))  -- Argument processing is left to Module:Arguments. Whitespace is trimmed and blank arguments are removed.
end
end
end
end }
 
for funcName in pairs(wrap) do
p[funcName] = makeWrapper(funcName)
end


return p
return setmetatable(p, mt)
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