| 1 | test_approxratio = ->
|
| 2 | run_test [
|
| 3 | "approxratio(0.9054054)",
|
| 4 | "67/74",
|
| 5 |
|
| 6 | "approxratio(0.0102)",
|
| 7 | "1/98",
|
| 8 |
|
| 9 | "approxratio(0.518518)",
|
| 10 | "14/27",
|
| 11 |
|
| 12 | "approxratio(0.3333)",
|
| 13 | "1/3",
|
| 14 |
|
| 15 | "approxratio(0.5)",
|
| 16 | "1/2",
|
| 17 |
|
| 18 | "approxratio(3.14159)",
|
| 19 | "355/113",
|
| 20 |
|
| 21 | "approxratio(a*3.14)",
|
| 22 | "a*22/7",
|
| 23 |
|
| 24 | "approxratio(a*b)",
|
| 25 | "a*b",
|
| 26 |
|
| 27 | "approxratio((0.5*4)^(1/3))",
|
| 28 | "2^(1/3)",
|
| 29 |
|
| 30 | "approxratio(3.14)",
|
| 31 | "22/7",
|
| 32 |
|
| 33 | # see http://davidbau.com/archives/2010/03/14/the_mystery_of_355113.html
|
| 34 | "approxratio(3.14159)",
|
| 35 | "355/113",
|
| 36 |
|
| 37 | "approxratio(-3.14159)",
|
| 38 | "-355/113",
|
| 39 |
|
| 40 | "approxratio(0)",
|
| 41 | "0",
|
| 42 |
|
| 43 | "approxratio(0.0)",
|
| 44 | "0",
|
| 45 |
|
| 46 | "approxratio(2)",
|
| 47 | "2",
|
| 48 |
|
| 49 | "approxratio(2.0)",
|
| 50 | "2",
|
| 51 |
|
| 52 | # -------------------------------
|
| 53 | # checking some "long primes"
|
| 54 | # also called long period primes, or maximal period primes
|
| 55 | # i.e. those numbers whose reciprocal give
|
| 56 | # long repeating sequences
|
| 57 | # (long prime p gives repetition of p-1 digits).
|
| 58 | # big list here: https://oeis.org/A001913/b001913.txt
|
| 59 | # also see: https://oeis.org/A001913
|
| 60 | # -------------------------------
|
| 61 |
|
| 62 | # 1st long prime
|
| 63 | "approxratio(0.14)",
|
| 64 | "1/7",
|
| 65 |
|
| 66 | # 9th long prime, the biggest 2-digits long prime.
|
| 67 | # Often asked to
|
| 68 | # mental calculators to check their abilities.
|
| 69 | "approxratio(0.0103)",
|
| 70 | "1/97",
|
| 71 |
|
| 72 | # 60th long prime, the biggest 3-digits long prime.
|
| 73 | # Often asked to
|
| 74 | # mental calculators to check their abilities.
|
| 75 | "approxratio(0.001017)",
|
| 76 | "1/983",
|
| 77 |
|
| 78 | # 467th long prime, the biggest 4-digits long prime.
|
| 79 | "approxratio(0.00010033)",
|
| 80 | "1/9967",
|
| 81 |
|
| 82 | # 3617th long prime, the biggest 5-digits long prime.
|
| 83 | "approxratio(0.0000100011)",
|
| 84 | "1/99989",
|
| 85 |
|
| 86 | # 10000th long prime.
|
| 87 | "approxratio(0.00000323701)",
|
| 88 | "1/308927",
|
| 89 |
|
| 90 | ]
|
| 91 |
|