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Module:Math: Difference between revisions

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Module:Math (view source)

Revision as of 20:51, 6 September 2024

820 bytes added ,  6 September 2024
Created page with "--This module provides a number of basic mathematical operations. local yesno, getArgs -- lazily initialized local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules. local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua. --Helper functions used to avoid redundant code. local function..."
>Tomoneill
(copy from https://en.wikipedia.org/w/index.php?title=Module:Math&oldid=861915621)
 
(Created page with "--This module provides a number of basic mathematical operations. local yesno, getArgs -- lazily initialized local p = {} -- Holds functions to be returned from #invoke, and functions to make available to other Lua modules. local wrap = {} -- Holds wrapper functions that process arguments from #invoke. These act as intemediary between functions meant for #invoke and functions meant for Lua. --Helper functions used to avoid redundant code. local function...")
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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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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
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--[[
--[[
min  
min


Finds the minimum argument
Finds the minimum argument
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--[[
--[[
sum  
sum


Finds the sum
Finds the sum
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--[[
--[[
average  
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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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
if order + orig_precision >= 14 then
precision = 13 - order;
precision = 13 - order;      
end
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  
divide
 
Implements the division operator
 
Usage:
{{#invoke:Math | divide | x | y | round= | precision= }}
 
--]]
function wrap.divide(args)
local x = args[1]
local y = args[2]
local round = args.round
local precision =  args.precision
if not yesno then
yesno = require('Module:Yesno')
end
return p._divide(x, y, yesno(round), precision)
end
 
function p._divide(x, y, round, precision)
if y == nil or y == "" then
return err("Empty divisor")
elseif not tonumber(y) then
if type(y) == 'string' and string.sub(y, 1, 1) == '<' then
return y
else
return err("Not a number: " .. y)
end
elseif x == nil or x == "" then
return err("Empty dividend")
elseif not tonumber(x) then
if type(x) == 'string' and string.sub(x, 1, 1) == '<' then
return x
else
return err("Not a number: " .. x)
end
else
local z = x / y
if round then
return p._round(z, 0)
elseif precision then
return p._round(z, precision)
else
return z
end
end
end
 
--[[
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://saintapedia.org/wiki/Special:MobileDiff/1819’