پودمان:Math: تفاوت میان نسخهها
جز ۱ نسخه واردشده |
جز ۱ نسخه واردشده |
||
| (یک نسخهٔ میانی ویرایش شده توسط یک کاربر دیگر نشان داده نشد) | |||
| خط ۵۲: | خط ۵۲: | ||
-- 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. | ||
local vals = makeArgArray(...) | local vals = makeArgArray(...) | ||
local count = #vals -- The number of valid arguments | local count = #vals -- The number of valid arguments | ||
if count == 0 then return | if count == 0 then return | ||
-- Exit if we have no valid args, otherwise removing the first arg would cause an error. | -- Exit if we have no valid args, otherwise removing the first arg would cause an error. | ||
nil, 0 | nil, 0 | ||
end | end | ||
local ret = table.remove(vals, 1) | local ret = table.remove(vals, 1) | ||
for _, val in ipairs(vals) do | for _, val in ipairs(vals) do | ||
| خط ۱۲۰: | خط ۱۲۰: | ||
else | else | ||
return p._order(input_number) | return p._order(input_number) | ||
end | end | ||
end | end | ||
| خط ۱۵۴: | خط ۱۵۴: | ||
return math.log10(denom_value); | return math.log10(denom_value); | ||
end | end | ||
end | end | ||
end | end | ||
end | end | ||
input_number, input_string = p._cleanNumber(input_string); | input_number, input_string = p._cleanNumber(input_string); | ||
| خط ۱۶۳: | خط ۱۶۳: | ||
else | else | ||
return p._precision(input_string) | return p._precision(input_string) | ||
end | end | ||
end | end | ||
| خط ۱۸۰: | خط ۱۸۰: | ||
x = string.sub(x, 1, exponent_pos - 1) | x = string.sub(x, 1, exponent_pos - 1) | ||
result = result - tonumber(exponent) | result = result - tonumber(exponent) | ||
end | end | ||
if decimal ~= nil then | if decimal ~= nil then | ||
| خط ۲۳۸: | خط ۲۳۸: | ||
function p._median(...) | function p._median(...) | ||
local vals = makeArgArray(...) | local vals = makeArgArray(...) | ||
local count = #vals | local count = #vals | ||
table.sort(vals) | table.sort(vals) | ||
if count == 0 then | if count == 0 then | ||
return 0 | return 0 | ||
end | end | ||
if p._mod(count, 2) == 0 then | if p._mod(count, 2) == 0 then | ||
return (vals[count/2] + vals[count/2+1])/2 | return (vals[count/2] + vals[count/2+1])/2 | ||
| خط ۲۵۴: | خط ۲۵۴: | ||
--[[ | --[[ | ||
min | min | ||
Finds the minimum argument | Finds the minimum argument | ||
| خط ۲۷۹: | خط ۲۷۹: | ||
--[[ | --[[ | ||
sum | sum | ||
Finds the sum | Finds the sum | ||
| خط ۳۰۵: | خط ۳۰۵: | ||
--[[ | --[[ | ||
average | average | ||
Finds the average | Finds the average | ||
| خط ۳۴۷: | خط ۳۴۷: | ||
else | else | ||
return p._round(value, precision) | return p._round(value, precision) | ||
end | end | ||
end | end | ||
| خط ۳۸۷: | خط ۳۸۷: | ||
else | else | ||
return p._mod(x, y) | return p._mod(x, y) | ||
end | end | ||
end | end | ||
| خط ۴۳۱: | خط ۴۳۱: | ||
precision_format | precision_format | ||
Rounds a number to the specified precision and formats according to rules | Rounds a number to the specified precision and formats according to rules | ||
originally used for {{template:Rnd}}. Output is a string. | originally used for {{template:Rnd}}. Output is a string. | ||
| خط ۴۶۳: | خط ۴۶۳: | ||
-- some circumstances because the terminal digits will be inaccurately reported. | -- some circumstances because the terminal digits will be inaccurately reported. | ||
if order + precision >= 14 then | if order + precision >= 14 then | ||
if order + p._precision(value_string) >= 14 then | |||
precision = 13 - order; | |||
precision = 13 - order; | end | ||
end | |||
end | end | ||
| خط ۴۷۳: | خط ۴۷۲: | ||
value = p._round(value, precision) | value = p._round(value, precision) | ||
current_precision = p._precision(value) | current_precision = p._precision(value) | ||
end | end | ||
local formatted_num = lang:formatNum(math.abs(value)) | local formatted_num = lang:formatNum(math.abs(value)) | ||
| خط ۴۸۳: | خط ۴۸۲: | ||
else | else | ||
sign = '' | sign = '' | ||
end | end | ||
-- Handle cases requiring scientific notation | -- Handle cases requiring scientific notation | ||
| خط ۴۹۲: | خط ۴۹۱: | ||
formatted_num = lang:formatNum(math.abs(value)) | formatted_num = lang:formatNum(math.abs(value)) | ||
else | else | ||
order = 0; | order = 0; | ||
end | end | ||
formatted_num = sign .. formatted_num | formatted_num = sign .. formatted_num | ||
-- Pad with zeros, if needed | -- Pad with zeros, if needed | ||
if current_precision < precision then | if current_precision < precision then | ||
local padding | local padding | ||
| خط ۵۱۰: | خط ۵۰۹: | ||
formatted_num = formatted_num .. string.rep('0', padding) | formatted_num = formatted_num .. string.rep('0', padding) | ||
end | end | ||
else | else | ||
padding = precision - current_precision | padding = precision - current_precision | ||
if padding > 20 then | if padding > 20 then | ||
| خط ۵۲۷: | خط ۵۲۶: | ||
else | else | ||
order = lang:formatNum(order) | order = lang:formatNum(order) | ||
end | end | ||
formatted_num = formatted_num .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>' | formatted_num = formatted_num .. '<span style="margin:0 .15em 0 .25em">×</span>10<sup>' .. order .. '</sup>' | ||
| خط ۵۳۶: | خط ۵۳۵: | ||
--[[ | --[[ | ||
Helper function that interprets the input numerically. If the | Helper function that interprets the input numerically. If the | ||
input does not appear to be a number, attempts evaluating it as | input does not appear to be a number, attempts evaluating it as | ||
a parser functions expression. | a parser functions expression. | ||