Self numbers: Difference between revisions
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m (→{{header|Phix}}: mirrored bugfix) |
m (→{{header|AppleScript}}: Edited comments to show limit of accuracy. Changed the indexDiff calculation to reflect what it means (but same results). Added another demo.) |
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This connection with significant digit change means every ten blocks form a higher-order block, every ten |
This connection with significant digit change means every ten blocks form a higher-order block, every ten |
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of these a higher-order-still block, and so on. |
of these a higher-order-still block, and so on. |
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The code below appears to be good up to the last self number before 10^12 — ie. 999,999,999,997, which is |
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returned as the 97,777,777,792nd such number. After this, instead of zero-length shorter runs, the actual |
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pattern apparently starts again with a single run of 10, like the one at the beginning. |
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*) |
*) |
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on selfNumbers(indexRange) |
on selfNumbers(indexRange) |
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on fastForward() |
on fastForward() |
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if (counter ≥ startIndex) then return |
if (counter ≥ startIndex) then return |
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-- The highest-order blocks whose ends this script |
-- The highest-order blocks whose ends this script handles correctly contain 9,777,777,778 self numbers. |
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-- The difference between equivalently positioned numbers in these blocks is 100,000,000,001. |
-- The difference between equivalently positioned numbers in these blocks is 100,000,000,001. |
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-- The figures for successively lower-order blocks |
-- The figures for successively lower-order blocks have successively fewer 7s and 0s! |
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set indexDiff to 9.777777778E+9 |
set indexDiff to 9.777777778E+9 |
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set numericDiff to 1.00000000001E+11 |
set numericDiff to 1.00000000001E+11 |
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set currentSelf to (currentSelf + numericDiff) |
set currentSelf to (currentSelf + numericDiff) |
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else |
else |
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set indexDiff to indexDiff |
set indexDiff to (indexDiff + 2) div 10 |
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set numericDiff to numericDiff div 10 + 1 |
set numericDiff to numericDiff div 10 + 1 |
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end if |
end if |
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-- One hundred millionth: |
-- One hundred millionth: |
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selfNumbers(100000000) |
selfNumbers(100000000) |
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--> {1.022727208E+9} |
--> {1.022727208E+9} |
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-- 97,777,777,792nd: |
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selfNumbers(9.7777777792E+10) |
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--> {9.99999999997E+11}</lang> |
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=={{header|C}}== |
=={{header|C}}== |
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