| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133 |
- from sympy.core.random import randint
- from sympy.ntheory.bbp_pi import pi_hex_digits
- from sympy.testing.pytest import raises
- # http://www.herongyang.com/Cryptography/Blowfish-First-8366-Hex-Digits-of-PI.html
- # There are actually 8336 listed there; with the prepended 3 there are 8337
- # below
- dig=''.join('''
- 3243f6a8885a308d313198a2e03707344a4093822299f31d0082efa98ec4e6c89452821e638d013
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- 16636920d871574e69a458fea3f4933d7e0d95748f728eb658718bcd5882154aee7b54a41dc25a59
- b59c30d5392af26013c5d1b023286085f0ca417918b8db38ef8e79dcb0603a180e6c9e0e8bb01e8a
- 3ed71577c1bd314b2778af2fda55605c60e65525f3aa55ab945748986263e8144055ca396a2aab10
- b6b4cc5c341141e8cea15486af7c72e993b3ee1411636fbc2a2ba9c55d741831f6ce5c3e169b8793
- 1eafd6ba336c24cf5c7a325381289586773b8f48986b4bb9afc4bfe81b6628219361d809ccfb21a9
- 91487cac605dec8032ef845d5de98575b1dc262302eb651b8823893e81d396acc50f6d6ff383f442
- 392e0b4482a484200469c8f04a9e1f9b5e21c66842f6e96c9a670c9c61abd388f06a51a0d2d8542f
- 68960fa728ab5133a36eef0b6c137a3be4ba3bf0507efb2a98a1f1651d39af017666ca593e82430e
- 888cee8619456f9fb47d84a5c33b8b5ebee06f75d885c12073401a449f56c16aa64ed3aa62363f77
- 061bfedf72429b023d37d0d724d00a1248db0fead349f1c09b075372c980991b7b25d479d8f6e8de
- f7e3fe501ab6794c3b976ce0bd04c006bac1a94fb6409f60c45e5c9ec2196a246368fb6faf3e6c53
- b51339b2eb3b52ec6f6dfc511f9b30952ccc814544af5ebd09bee3d004de334afd660f2807192e4b
- b3c0cba85745c8740fd20b5f39b9d3fbdb5579c0bd1a60320ad6a100c6402c7279679f25fefb1fa3
- cc8ea5e9f8db3222f83c7516dffd616b152f501ec8ad0552ab323db5fafd23876053317b483e00df
- 829e5c57bbca6f8ca01a87562edf1769dbd542a8f6287effc3ac6732c68c4f5573695b27b0bbca58
- c8e1ffa35db8f011a010fa3d98fd2183b84afcb56c2dd1d35b9a53e479b6f84565d28e49bc4bfb97
- 90e1ddf2daa4cb7e3362fb1341cee4c6e8ef20cada36774c01d07e9efe2bf11fb495dbda4dae9091
- 98eaad8e716b93d5a0d08ed1d0afc725e08e3c5b2f8e7594b78ff6e2fbf2122b648888b812900df0
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- 77e6ad206577b5fa86c75442f5fb9d35cfebcdaf0c7b3e89a0d6411bd3ae1e7e4900250e2d2071b3
- 5e226800bb57b8e0af2464369bf009b91e5563911d59dfa6aa78c14389d95a537f207d5ba202e5b9
- c5832603766295cfa911c819684e734a41b3472dca7b14a94a1b5100529a532915d60f573fbc9bc6
- e42b60a47681e6740008ba6fb5571be91ff296ec6b2a0dd915b6636521e7b9f9b6ff34052ec58556
- 6453b02d5da99f8fa108ba47996e85076a4b7a70e9b5b32944db75092ec4192623ad6ea6b049a7df
- 7d9cee60b88fedb266ecaa8c71699a17ff5664526cc2b19ee1193602a575094c29a0591340e4183a
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- 086f420d03f60a04bf2cb8129024977c795679b072bcaf89afde9a771fd9930810b38bae12dccf3f
- 2e5512721f2e6b7124501adde69f84cd877a5847187408da17bc9f9abce94b7d8cec7aec3adb851d
- fa63094366c464c3d2ef1c18473215d908dd433b3724c2ba1612a14d432a65c45150940002133ae4
- dd71dff89e10314e5581ac77d65f11199b043556f1d7a3c76b3c11183b5924a509f28fe6ed97f1fb
- fa9ebabf2c1e153c6e86e34570eae96fb1860e5e0a5a3e2ab3771fe71c4e3d06fa2965dcb999e71d
- 0f803e89d65266c8252e4cc9789c10b36ac6150eba94e2ea78a5fc3c531e0a2df4f2f74ea7361d2b
- 3d1939260f19c279605223a708f71312b6ebadfe6eeac31f66e3bc4595a67bc883b17f37d1018cff
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- 6a43b7d4b7500061af1e39f62e9724454614214f74bf8b88404d95fc1d96b591af70f4ddd366a02f
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- 2755533a3a20838d87fe6ba9b7d096954b55a867bca1159a58cca9296399e1db33a62a4a563f3125
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- 0dc67b55106d672c372765d43bdcd0e804f1290dc7cc00ffa3b5390f92690fed0b667b9ffbcedb7d
- 9ca091cf0bd9155ea3bb132f88515bad247b9479bf763bd6eb37392eb3cc1159798026e297f42e31
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- fe9dbc8057f0f7c08660787bf86003604dd1fd8346f6381fb07745ae04d736fccc83426b33f01eab
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- c25366f9c3c8b38e74b475f25546fcd9b97aeb26618b1ddf84846a0e79915f95e2466e598e20b457
- 708cd55591c902de4cb90bace1bb8205d011a862487574a99eb77f19b6e0a9dc09662d09a1c43246
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- 1b5cb0679e4fa33742d382274099bc9bbed5118e9dbf0f7315d62d1c7ec700c47bb78c1b6b21a190
- 45b26eb1be6a366eb45748ab2fbc946e79c6a376d26549c2c8530ff8ee468dde7dd5730a1d4cd04d
- c62939bbdba9ba4650ac9526e8be5ee304a1fad5f06a2d519a63ef8ce29a86ee22c089c2b843242e
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- 380339c32ac69136678df9317ce0b12b4ff79e59b743f5bb3af2d519ff27d9459cbf97222c15e6fc
- 2a0f91fc719b941525fae59361ceb69cebc2a8645912baa8d1b6c1075ee3056a0c10d25065cb03a4
- 42e0ec6e0e1698db3b4c98a0be3278e9649f1f9532e0d392dfd3a0342b8971f21e1b0a74414ba334
- 8cc5be7120c37632d8df359f8d9b992f2ee60b6f470fe3f11de54cda541edad891ce6279cfcd3e7e
- 6f1618b166fd2c1d05848fd2c5f6fb2299f523f357a632762393a8353156cccd02acf081625a75eb
- b56e16369788d273ccde96629281b949d04c50901b71c65614e6c6c7bd327a140a45e1d006c3f27b
- 9ac9aa53fd62a80f00bb25bfe235bdd2f671126905b2040222b6cbcf7ccd769c2b53113ec01640e3
- d338abbd602547adf0ba38209cf746ce7677afa1c52075606085cbfe4e8ae88dd87aaaf9b04cf9aa
- 7e1948c25c02fb8a8c01c36ae4d6ebe1f990d4f869a65cdea03f09252dc208e69fb74e6132ce77e2
- 5b578fdfe33ac372e6'''.split())
- def test_hex_pi_nth_digits():
- assert pi_hex_digits(0) == '3243f6a8885a30'
- assert pi_hex_digits(1) == '243f6a8885a308'
- assert pi_hex_digits(10000) == '68ac8fcfb8016c'
- assert pi_hex_digits(13) == '08d313198a2e03'
- assert pi_hex_digits(0, 3) == '324'
- assert pi_hex_digits(0, 0) == ''
- raises(ValueError, lambda: pi_hex_digits(-1))
- raises(ValueError, lambda: pi_hex_digits(3.14))
- # this will pick a random segment to compute every time
- # it is run. If it ever fails, there is an error in the
- # computation.
- n = randint(0, len(dig))
- prec = randint(0, len(dig) - n)
- assert pi_hex_digits(n, prec) == dig[n: n + prec]
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