Thread: How to deal with repeating rational numbers

  1. #1
    Registered User carrja99's Avatar
    Join Date
    Oct 2002

    How to deal with repeating rational numbers

    Okay, I feel like this is a pretty STUPID question, but the way to do it has just not came to me at all. I wrote a program that converts any number to a selected base, including rational numbers and negatives (unbiased of course). The dilemma I am facing, however, is when I have repeating numbers. for example, when I convert a number to binary and get something like 101.1100110011001100110011001100. I want to fina a conventional way to trim the output so that it only prints unique digits after the decimal point. DO NOT givd me C++ code, but some form of psuedo code or perhaps just a suggestion to point me in the right direction. My first idea was put the numbers in an array, then search the array and compare values until it finds a repeating pattern. This is however a little consuming, and causes alot of bloat in my source. Any sugestions would be apperciated... even if it is a simple predefined function included in C++ that does htis for me.
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  2. #2
    Registered User
    Join Date
    Mar 2002
    Here's an off the cuff approach. might work, might not.

    determine how far out you want to look for a repeat first. If it is indefinite, you'll need a super computer, not a desk top.

    convert number into string.

    compare string[0] to each subsequent char in the string.

    if string[0] repeats in the string at all note the position of the repeat by storing it in variable called r.

    now compare each char beyond string[0] and string[r] using a loop. If each char between 0 and r doesn't repeat after r then it is not a repeating pattern.

    advance to string[1] and repeat process.

    continue repeating until every char evaluated up to the limit you set.

  3. #3
    TransparentMember correlcj's Avatar
    Join Date
    Jun 2002
    trim the output so that it only prints unique digits after the decimal point
    I believe setprecision() is what you want. an example would be
    101.0000111111 and you want it 101.00, use setprecision(2).
    You want 101.00001, then use setprecision(5). got it!
    Hope this helps!
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    -Bruce Lee

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