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> # Author: Mendel Cooper
> # License: Public Domain
> # Version 2.2, reldate 13oct08.
> 
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< M_PI=3.141592654 # Actual value of PI, for comparison purposes.
---
> declare -r M_PI=3.141592654
>                  # Actual 9-place value of PI, for comparison purposes.
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< #  This diminshes the accuracy of the simulation.
---
> #  This decreases the accuracy of the simulation.
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> # ==========================================================
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> # "Main" code block, mimmicking a C-language main() function.
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<   hypotenuse $xCoord $yCoord                  #  Hypotenuse of right-triangle =
<                                               #+ distance.
---
>   hypotenuse $xCoord $yCoord                  #  Hypotenuse of
>                                               #+ right-triangle = distance.
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<   printf "Distance = %5d  " $distance         #  Distance from 
<                                               #+ center of lake --
<                                               #  the "origin" --
<                                               #+ coordinate (0,0).
---
>   printf "Distance = %5d  " $distance         #   Distance from
>                                               #+  center of lake
>                                               #+  -- the "origin" --
>                                               #+  coordinate (0,0).
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< echo "After $shots shots, PI looks like approximately $Pi"
< # Tends to run a bit high . . . 
< # Probably due to round-off error and imperfect randomness of $RANDOM.
---
> echo "After $shots shots, PI looks like approximately   $Pi"
> #  Tends to run a bit high,
> #+ probably due to round-off error and imperfect randomness of $RANDOM.
> #  But still usually within plus-or-minus 5% . . .
> #+ a pretty good rough approximation.
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< echo "Deviation from mathematical value of PI =      $error"
---
> pct_error=$(echo "scale=2; 100.0 * $error / $M_PI" | bc)
> echo -n "Deviation from mathematical value of PI =        $error"
> echo " ($pct_error% error)"
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> # End of "main" code block.
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> # ==========================================================
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< exit 0
---
> exit