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    Re: Bowditch 2002
    From: Mitch B Burrill
    Date: 2002 Oct 3, 16:17 -0400

    The only algorithms I know are :
    
    1. Always round up, like a modern electronic calculator (which I think leads 
    to serious error accumulation in hand calculation)
    2. Round up if the digit to the right of the 5 is odd (or even)
    and 3. Round up to make the digit to the left of the 5 odd (or even).
    
    To get the values below (which are published in Bowditch 2000 AND the 23rd 
    edition of the CRC math tables),
    Bowditch is using Round if Right is Odd.
    But then that algorithm fails with the published values for 32-22 and 32-33.
    
    I'm stymied (for now)  !!
     -----Original Message-----
    From:   Herbert Prinz [mailto:hprinz{at}ATTGLOBAL.NET]
    Sent:   Thursday, October 03, 2002 3:01 PM
    To:     NAVIGATION-L{at}LISTSERV.WEBKAHUNA.COM
    Subject:             Re: Bowditch 2002
    
    Well, Mitch, which rounding algorithms are you aware of?
    
    Sin(32d 07') = 0.53164497... and Sin(32d 43') = 0.54048508...
    
    So, rounded to 5 places after the decimal point, we would expect to see 
    0.53164 and 0.54049, using ANY rounding algorithm that I can possibly think 
    of.
    
    What does Bowditch have?
    
    Herbert Prinz
    
    Mitch B Burrill wrote:
    
    > Yes, examine the sine of  32-07, 32-22, 32-31, 32-33, 32-43, and 32-59. The 
    values given for 32-07 and 32-43 seem mutually exclusive using the rounding 
    algorithms I'm aware of.
    
    
    

       
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