RosettaCodeData/Task/Four-bit-adder/Nim/four-bit-adder.nim

35 lines
748 B
Nim

type
Bools[N: static int] = array[N, bool]
SumCarry = tuple[sum, carry: bool]
proc ha(a, b: bool): SumCarry = (a xor b, a and b)
proc fa(a, b, ci: bool): SumCarry =
let a = ha(ci, a)
let b = ha(a[0], b)
result = (b[0], a[1] or b[1])
proc fa4(a, b: Bools[4]): Bools[5] =
var co, s: Bools[4]
for i in 0..3:
let r = fa(a[i], b[i], if i > 0: co[i-1] else: false)
s[i] = r[0]
co[i] = r[1]
result[0..3] = s
result[4] = co[3]
proc int2bus(n: int): Bools[4] =
var n = n
for i in 0..result.high:
result[i] = (n and 1) == 1
n = n shr 1
proc bus2int(b: Bools): int =
for i, x in b:
result += (if x: 1 else: 0) shl i
for a in 0..7:
for b in 0..7:
assert a + b == bus2int fa4(int2bus(a), int2bus(b))