Computes Pi to many decimal places and prints the digits in a circle.
Python, 26 lines
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Copy to clipboard1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 | def pi(places=10):
"Computes pi to given number of decimal places"
# 3 + 3*(1/24) + 3*(1/24)*(9/80) + 3*(1/24)*(9/80)*(25/168)
# The numerators 1, 9, 25, ... are given by (2x + 1) ^ 2
# The denominators 24, 80, 168 are given by (16x^2 -24x + 8)
extra = 8
one = 10 ** (places+extra)
t, c, n, na, d, da = 3*one, 3*one, 1, 0, 0, 24
while t > 1:
n, na, d, da = n+na, na+8, d+da, da+32
t = t * n // d
c += t
return c // (10 ** extra)
def picirc(radius, aspect_ratio=5):
"Display the digit of pi in a circle of given radius"
display_width = int(radius * aspect_ratio + 10)
pi_str = repr(pi(int(2 * radius ** 2 * aspect_ratio)))
pos = 0
for i in range(2 * radius):
cols = int(0.5 + aspect_ratio * (radius**2 - (radius-(i+0.5))**2) ** 0.5)
print(pi_str[pos:pos+cols].center(display_width))
pos += cols
if __name__ == '__main__':
picirc(16)
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The is a just-for-fun script that shows-off Python's long integers and simple string formatting.
Adjust the aspect ratio until the output looks nicely rounded. The ratio will vary depending on your choice of font.
31415926535897932384
6264338327950288419716939937510582
0974944592307816406286208998628034825342117
06798214808651328230664709384460955058223172535940
81284811174502841027019385211055596446229489549303819644
288109756659334461284756482337867831652712019091456485669234
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371907021798609437027705392171762931767523846748184676694051320005681271452
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72010654858632788659361533818279682303019520353018529689957736225994138912497217
75283479131515574857242454150695950829533116861727855889075098381754637464939319
2550604009277016711390098488240128583616035637076601047101819429555961989467678
374494482553797747268471040475346462080466842590694912933136770289891521047521
62056966024058038150193511253382430035587640247496473263914199272604269922796
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66369807426542527862551818417574672890977772793800081647060016145249192
17321721477235014144197356854816136115735255213347574184946843852332
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887671790494601653466804988627232791786085784383827967976681
45410095388378636095068006422512520511739298489608412848
86269456042419652850222106611863067442786220391949
4504712371378696095636437191728746776465757
3962413890865832645995813390478027
59009946576407895126
cool i luv it :-)