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Computes Pi to many decimal places and prints the digits in a circle.

Python, 26 lines
 ``` 1 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) ```

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
6034861045432664821339360726024914127372458700660631558817488152
09209628292540917153643678925903600113305305488204665213841469519415
11609433057270365759591953092186117381932611793105118548074462379962749
5673518857527248912279381830119491298336733624406566430860213949463952247
371907021798609437027705392171762931767523846748184676694051320005681271452
63560827785771342757789609173637178721468440901224953430146549585371050792279
689258923542019956112129021960864034418159813629774771309960518707211349999998
3729780499510597317328160963185950244594553469083026425223082533446850352619311
88171010003137838752886587533208381420617177669147303598253490428755468731159562
86388235378759375195778185778053217122680661300192787661119590921642019893809525
72010654858632788659361533818279682303019520353018529689957736225994138912497217
75283479131515574857242454150695950829533116861727855889075098381754637464939319
2550604009277016711390098488240128583616035637076601047101819429555961989467678
374494482553797747268471040475346462080466842590694912933136770289891521047521
62056966024058038150193511253382430035587640247496473263914199272604269922796
782354781636009341721641219924586315030286182974555706749838505494588586926
9956909272107975093029553211653449872027559602364806654991198818347977535
66369807426542527862551818417574672890977772793800081647060016145249192
17321721477235014144197356854816136115735255213347574184946843852332
3907394143334547762416862518983569485562099219222184272550254256
887671790494601653466804988627232791786085784383827967976681
45410095388378636095068006422512520511739298489608412848
86269456042419652850222106611863067442786220391949
4504712371378696095636437191728746776465757
3962413890865832645995813390478027
59009946576407895126
``````

#### 1 comment

Andrew Wayne Teesdale Jr. 9 years, 10 months ago

cool i luv it :-)

 Created by Raymond Hettinger on Sat, 12 May 2012 (MIT)

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