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Thread: Length of Diag in Grid?

  1. Sep 24th, 2004, 08:18 AM #1
    The Hobo
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    Length of Diag in Grid?

    Is there an easy method for finding the length of a diagnol line in a grid. Say, if I have:

    Code:
    x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
x x x x x x x x x x
    And I know that x is 6 and y is 4 (bottom x). How could I find the length of any diagnol line, no matter where it starts?
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  2. Sep 24th, 2004, 08:53 AM #2
    alkatran
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    a^2 + b^2 = c^2

    Or...

    Length = sqr(xdif^2 + ydif^2)
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  3. Sep 25th, 2004, 07:13 AM #3
    opus
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    Or are you talking about the number of X's in a diagonal line in your grid?

    Max (XDiff; YDiff)

    Onlyalid if lines are either horizontal, vertical or at a 45 degree to that.
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  4. Sep 25th, 2004, 06:26 PM #4
    Darkwraith
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    Are your lines composed of X's or are they composed of the endpoints of the line?
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  6. Sep 25th, 2004, 09:25 PM #5
    The Hobo
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    They're composed of X's. It's for a crossword puzzle, so I was trying to figure out how many letters could be in that line of spots.

    But...I figured out my teacher wants us to do this a different way, so I don't really need to know anymore.
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  7. Sep 27th, 2004, 11:12 AM #6
    Darkwraith
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    So is this resolved then?
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  8. Sep 27th, 2004, 12:35 PM #7
    The Hobo
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    Originally posted by Darkwraith
    So is this resolved then?
    Yes and no. I don't need the answer anymore, but I'm still curious about how it can be accomplished.
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  9. Sep 29th, 2004, 12:19 AM #8
    opus
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    If it's for a crossword, you're counting the "x" or the letters.
    So use the max(XDiff,YDiff), or more precise max(Xdiff+1;YDiff+1).
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