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-- These are super slow 32-bit operations --
local two31 = 2^31
local two32 = 2^32
local to_binary = function(x)
local pos = two31
local a = ""
if x < 0 then
x = x + two32
end
x = x % two32
for i=1,32 do
if x >= pos then
a = a .. "1"
x = x - pos
else
a = a .. "0"
end
pos = pos / 2
end
return a
end
local from_binary = function(x)
local z = tonumber(x,2)
if z >= two31 then
return z - two32
else
return z
end
end
local band = function(...)
local a = {}
local arg = {...}
for i = 1,#arg do
a[i] = to_binary(arg[i])
end
local c = ""
for i = 1,32 do
local value = true
for j = 1,#arg do
if a[j]:sub(i,i) == "0" then
value = false
break
end
end
if value then
c = c .. "1"
else
c = c .. "0"
end
end
return from_binary(c)
end
local bor = function(...)
local a = {}
local arg = {...}
for i = 1,#arg do
a[i] = to_binary(arg[i])
end
local c = ""
for i = 1,32 do
local value = false
for j = 1,#arg do
if a[j]:sub(i,i) == "1" then
value = true
break
end
end
if value then
c = c .. "1"
else
c = c .. "0"
end
end
return from_binary(c)
end
local bxor = function(...)
local a = {}
local arg = {...}
for i = 1,#arg do
a[i] = to_binary(arg[i])
end
local c = ""
for i = 1,32 do
local value = false
for j = 1,#arg do
if a[j]:sub(i,i) == "1" then
value = not value
end
end
if value then
c = c .. "1"
else
c = c .. "0"
end
end
return from_binary(c)
end
local bnot = function(x)
local a = to_binary(x)
local c = ""
for i = 1,32 do
if a:sub(i,i) == "0" then
c = c .. "1"
else
c = c .. "0"
end
end
return from_binary(c)
end
local lshift = function(x,n)
return (x * 2^n) % two32
end
local rshift = function(x,n)
return math.floor(x / 2^n)
end
local rol = function(x,n)
local a = to_binary(x)
for i = 1,n do
a = a:sub(2,32) .. a:sub(1,1)
end
return from_binary(a)
end
return {rol=rol, bxor=bxor, bor=bor, band=band, bnot=bnot, lshift=lshift, rshift=rshift}
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