Module:Math: Difference between revisions

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-- 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
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else
else
return p._order(input_number)
return p._order(input_number)
end
end
end
end


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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);
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else
else
return p._precision(input_string)
return p._precision(input_string)
end
end
end
end


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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
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--[[
--[[
median
⚫
min

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

--[[
⚫
min


Finds the minimum argument
Finds the minimum argument
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--[[
--[[
sum
⚫
average

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

--[[
⚫
average


Finds the average
Finds the average
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else
else
return p._round(value, precision)
return p._round(value, precision)
end
end
end
end


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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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else
else
return p._mod(x, y)
return p._mod(x, y)
end
end
end
end


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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.


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-- 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
orig_precision = p._precision(value_string)
if order + p._precision(value_string) >= 14 then
⚫
precision = 13 - order;
if order + orig_precision >= 14 then
end
⚫
precision = 13 - order;
end
end
end


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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))
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else
else
sign = ''
sign = ''
end
end


-- Handle cases requiring scientific notation
-- Handle cases requiring scientific notation
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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
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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
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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>'
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--[[
--[[
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.
Retrieved from "https://testwiki.wiki/wiki/Module:Math"