Zeckendorf arithmetic: Difference between revisions
→{{header|Racket}}
Line 2,292:
(bye)</lang>
=={{header|Python}}==
{{trans|}}
<lang python>import copy
class Zeckendorf:
def __init__(self, x='0'):
q = 1
i = len(x) - 1
self.dLen = int(i / 2)
self.dVal = 0
while i >= 0:
self.dVal = self.dVal + (ord(x[i]) - ord('0')) * q
q = q * 2
i = i -1
def a(self, n):
i = n
while True:
if self.dLen < i:
self.dLen = i
j = (self.dVal >> (i * 2)) & 3
if j == 0 or j == 1:
return
if j == 2:
if (self.dVal >> ((i + 1) * 2) & 1) != 1:
return
self.dVal = self.dVal + (1 << (i * 2 + 1))
return
if j == 3:
temp = 3 << (i * 2)
temp = temp ^ -1
self.dVal = self.dVal & temp
self.b((i + 1) * 2)
i = i + 1
def b(self, pos):
if pos == 0:
self.inc()
return
if (self.dVal >> pos) & 1 == 0:
self.dVal = self.dVal + (1 << pos)
self.a(int(pos / 2))
if pos > 1:
self.a(int(pos / 2) - 1)
else:
temp = 1 << pos
temp = temp ^ -1
self.dVal = self.dVal & temp
self.b(pos + 1)
self.b(pos - (2 if pos > 1 else 1))
def c(self, pos):
if (self.dVal >> pos) & 1 == 1:
temp = 1 << pos
temp = temp ^ -1
self.dVal = self.dVal & temp
return
self.c(pos + 1)
if pos > 0:
self.b(pos - 1)
else:
self.inc()
def inc(self):
self.dVal = self.dVal + 1
self.a(0)
def __add__(self, rhs):
copy = self
rhs_dVal = rhs.dVal
limit = (rhs.dLen + 1) * 2
for gn in range(0, limit):
if ((rhs_dVal >> gn) & 1) == 1:
copy.b(gn)
return copy
def __sub__(self, rhs):
copy = self
rhs_dVal = rhs.dVal
limit = (rhs.dLen + 1) * 2
for gn in range(0, limit):
if (rhs_dVal >> gn) & 1 == 1:
copy.c(gn)
while (((copy.dVal >> ((copy.dLen * 2) & 31)) & 3) == 0) or (copy.dLen == 0):
copy.dLen = copy.dLen - 1
return copy
def __mul__(self, rhs):
na = copy.deepcopy(rhs)
nb = copy.deepcopy(rhs)
nr = Zeckendorf()
dVal = self.dVal
for i in range(0, (self.dLen + 1) * 2):
if ((dVal >> i) & 1) > 0:
nr = nr + nb
nt = copy.deepcopy(nb)
nb = nb + na
na = copy.deepcopy(nt)
return nr
def __str__(self):
dig = ["00", "01", "10"]
dig1 = ["", "1", "10"]
if self.dVal == 0:
return '0'
idx = (self.dVal >> ((self.dLen * 2) & 31)) & 3
sb = dig1[idx]
i = self.dLen - 1
while i >= 0:
idx = (self.dVal >> (i * 2)) & 3
sb = sb + dig[idx]
i = i - 1
return sb
# main
print "Addition:"
g = Zeckendorf("10")
g = g + Zeckendorf("10")
print g
g = g + Zeckendorf("10")
print g
g = g + Zeckendorf("1001")
print g
g = g + Zeckendorf("1000")
print g
g = g + Zeckendorf("10101")
print g
print
print "Subtraction:"
g = Zeckendorf("1000")
g = g - Zeckendorf("101")
print g
g = Zeckendorf("10101010")
g = g - Zeckendorf("1010101")
print g
print
print "Multiplication:"
g = Zeckendorf("1001")
g = g * Zeckendorf("101")
print g
g = Zeckendorf("101010")
g = g + Zeckendorf("101")
print g</lang>
{{out}}
<pre>Addition:
101
1001
10101
100101
1010000
Subtraction:
1
1000000
Multiplication:
1000100
1000100</pre>
=={{header|Racket}}==
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