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Full Discussion: PI day.
Operating Systems OS X (Apple) PI day. Post 303014693 by RudiC on Sunday 18th of March 2018 07:12:44 PM
Old 03-18-2018
I had to do this in awk as I don't have ksh installed, but I think you get the gist... Usually, an iteration is exited if changes get below a defined bound which I here chose to be 10^-7...
Code:
awk -vOFMT="%.8f" '
BEGIN   {SGN = BS = 1

         do     {OLD  = PI4
                 PI4 += SGN/BS
                 SGN *= -1
                 BS  += 2
                 DLT  = OLD - PI4
                }
         while (DLT>0?DLT:-DLT > 1E-7)

         print PI4*4, 4*atan2(1,1), 22/7
        }
'
3.14159285 3.14159265 3.14285714

This User Gave Thanks to RudiC For This Post:
 

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let(1)								   User Commands							    let(1)

NAME
let - shell built-in function to evaluate one or more arithmetic expressions SYNOPSIS
ksh let arg... ksh93 let [expr...] DESCRIPTION
ksh Each arg is a separate arithmetic expression to be evaluated. ksh93 let evaluates each expr in the current shell environment as an arithmetic expression using ANSI C syntax. Variables names are shell vari- ables and they are recursively evaluated as arithmetic expressions to get numerical values. let has been made obsolete by the ((...)) syn- tax of ksh93(1) which does not require quoting of the operators to pass them as command arguments. EXIT STATUS
ksh ksh returns the following exit values: 0 The value of the last expression is non-zero. 1 The value of the last expression is zero. ksh93 ksh93 returns the following exit values: 0 The last expr evaluates to a non-zero value. >0 The last expr evaluates to 0 or an error occurred. ATTRIBUTES
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Availability |SUNWcsu | +-----------------------------+-----------------------------+ SEE ALSO
ksh(1), ksh93(1), set(1), typeset(1), attributes(5) SunOS 5.11 2 Nov 2007 let(1)
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