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Sort an array of numbers using Shell's method Description Sort an array of numbers into numerical order using Shell's method.
- nested loops: repeat-until, forall-do, while-do
Further explanation of this example:
'Mosel User Guide', Section 7.2.3 'repeat until'.
Source Files shsort.mos (!******************************************************* * Mosel Example Problems * * ====================== * * * * file shsort.mos * * ``````````````` * * Example for the use of the Mosel language * * (Sort an array of numbers into numerical order) * * * * Implements Shell' method: first sort, by straight * * insertion, small groups of numbers. Next, combine * * several small groups and sort them (possibly repeat * * this step). Finally, sort the whole list of numbers.* * * * The spacings between the numbers of groups sorted * * on each pass through the data are called the * * increments. A good choice is the sequence which * * can be generated by the recurrence * * i(1)=1, i(k+1)=3i(k)+1, k=1,2,... * * * * (c) 2008 Fair Isaac Corporation * * author: S. Heipcke, 2001 * *******************************************************!) model ShellSort ! Start a new model declarations N: integer ! Size of array ANum ANum: array(range) of real ! Unsorted array of numbers end-declarations N:=50 forall(i in 1..N) ANum(i):=round(random*100) writeln("Given list of numbers (size: ", N, "): ") forall(i in 1..N) write(ANum(i), " ") writeln inc:=1 ! Determine the starting increment repeat inc:=3*inc+1 until (inc>N) repeat ! Loop over the partial sorts inc:=inc div 3 forall(i in inc+1..N) do ! Outer loop of straight insertion v:=ANum(i) j:=i while (ANum(j-inc)>v) do ! Inner loop of straight insertion ANum(j):=ANum(j-inc) j -= inc if j<=inc then break; end-if end-do ANum(j):= v end-do until (inc<=1) writeln("Ordered list: ") forall(i in 1..N) write(ANum(i), " ") writeln end-model | |||||||||

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