## euclidean norm

in lua

euclid, length

### Source Code

``````-- Euclidean norm implementation
-- See: http://en.wikipedia.org/wiki/Norm_%28mathematics%29#Euclidean_norm

-- Returns the Euclidean norm of a given vector
-- t      : a vector (implemented as a sequence or numbers)
-- return : the Euclidean norm
local function euclidian_norm(t)
local norm = 0
for _, v in ipairs(t) do
norm = norm + (v * v)
end
return math.sqrt(norm)
end

return euclidian_norm``````
``````-- Tests for euclidean_norm.lua
local enorm = require 'euclidean_norm'

local total, pass = 0, 0

local function dec(str, len)
return #str < len
and str .. (('.'):rep(len-#str))
or str:sub(1,len)
end

local function run(message, f)
total = total + 1
local ok, err = pcall(f)
if ok then pass = pass + 1 end
local status = ok and 'PASSED' or 'FAILED'
print(('%02d. %68s: %s'):format(total, dec(message,68), status))
end

-- Fuzzy equality test
local function fuzzyEqual(a, b)
return math.abs(a-b) < 1e-8
end

run('Eucldian norm test', function()
assert(fuzzyEqual(enorm({}), 0))
assert(fuzzyEqual(enorm({1, 1}), math.sqrt(2)))
assert(fuzzyEqual(enorm({5, 8, 3}), math.sqrt(98)))
assert(fuzzyEqual(enorm({10, 10, 10, 10}), math.sqrt(400)))
end)

print(('-'):rep(80))
print(('Total : %02d: Pass: %02d - Failed : %02d - Success: %.2f %%')
:format(total, pass, total-pass, (pass*100/total)))
``````