Just another update

This commit is contained in:
Ingy döt Net 2015-02-20 00:35:01 -05:00
parent a25938f123
commit 00a190b0a6
6591 changed files with 94363 additions and 23227 deletions

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@ -0,0 +1,10 @@
def fib():
"""Yield fib[n+1] + fib[n]"""
yield 1 # have to start somewhere
lhs, rhs = fib(), fib()
yield next(lhs) # move lhs one iteration ahead
while True:
yield next(lhs)+next(rhs)
f=fib()
print [next(f) for _ in range(9)]

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@ -1,5 +1,5 @@
def fibGen():
f0, f1 = 0, 1
while True:
yield f0
f0, f1 = f1, f0+f1
def fibFastRec(n):
def fib(prvprv, prv, c):
if c < 1: return prvprv
else: return fib(prv, prvprv + prv, c - 1)
return fib(0, 1, n)

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@ -1,14 +1,4 @@
>>> fg = fibGen()
>>> for x in range(9):
print fg.next()
0
1
1
2
3
5
8
13
21
>>>
def fibGen(n,a=0,b=1):
while n>0:
yield a
a,b,n = b,a+b,n-1

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@ -1,30 +1,3 @@
def prevPowTwo(n):
'Gets the power of two that is less than or equal to the given input'
if ((n & -n) == n):
return n
else:
n -= 1
n |= n >> 1
n |= n >> 2
n |= n >> 4
n |= n >> 8
n |= n >> 16
n += 1
return (n/2)
>>> [i for i in fibGen(11)]
def crazyFib(n):
'Crazy fast fibonacci number calculation'
powTwo = prevPowTwo(n)
q = r = i = 1
s = 0
while(i < powTwo):
i *= 2
q, r, s = q*q + r*r, r * (q + s), (r*r + s*s)
while(i < n):
i += 1
q, r, s = q+r, q, r
return q
[0,1,1,2,3,5,8,13,21,34,55]

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@ -1,7 +1,30 @@
def fib(n, c={0:1, 1:1}):
if n not in c:
x = n // 2
c[n] = fib(x-1) * fib(n-x-1) + fib(x) * fib(n - x)
return c[n]
def prevPowTwo(n):
'Gets the power of two that is less than or equal to the given input'
if ((n & -n) == n):
return n
else:
n -= 1
n |= n >> 1
n |= n >> 2
n |= n >> 4
n |= n >> 8
n |= n >> 16
n += 1
return (n/2)
fib(10000000) # calculating it takes a few seconds, printing it takes eons
def crazyFib(n):
'Crazy fast fibonacci number calculation'
powTwo = prevPowTwo(n)
q = r = i = 1
s = 0
while(i < powTwo):
i *= 2
q, r, s = q*q + r*r, r * (q + s), (r*r + s*s)
while(i < n):
i += 1
q, r, s = q+r, q, r
return q

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@ -0,0 +1,7 @@
def fib(n, c={0:1, 1:1}):
if n not in c:
x = n // 2
c[n] = fib(x-1) * fib(n-x-1) + fib(x) * fib(n - x)
return c[n]
fib(10000000) # calculating it takes a few seconds, printing it takes eons