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!AWJan95/Goodies/Event/Docs/Misc

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.

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PROCshell_QuickSort()
Params =>
         str comparison function
         str swap function
         bool ascending flag, non 0 for ascending
              sort, 0 for descending sort
         int minimum element number to sort
         int maximum element number to sort

The QuickSort routine uses a fast sorting technique
which is capable of sorting any type of data. An
example of the speed is that 1000 random integers
can be sorted in around 15 seconds on an ARM3
machine.

Comparision FN (QuickSort)
Params =>
         int first  element nr
         int second element nr

       <=
         bool TRUE if value of first element
              is less than the second,
              otherwise FALSE

This function returns TRUE or FALSE depending
on the outcome of the comparison. Exactly what
is compared is up to you!

The function name must start with a '_'
character if the program is to be compressed.

Swap FN (QuickSort)
Params =>
         int first  element nr
         int second element nr

       <=
         int junk (ignore)

This function swaps element 1 with element
2.

The function name must start with a '_'
character if the program is to be compressed.

Example code (QuickSort)
Assume a 100 element string array name$(), each element
containing a list of names which must be sorted into
alphabetic order. This can be achieved with:

REM Rest of code....
PROCshell_QuickSort("_QS_comp","_QS_swap",1,0,100)
REM More code..

DEF FN_QS_comp(el1%,el2%)
IF VAL(name$(el1%)) < VAL(name$(el2%)) THEN = TRUE ELSE = FALSE
:
DEF FN_QS_swap(el1%,el2%)
LOCAL temp$
temp$ = name$(el1%)
name$(el1%) = name$(el2%)
name$(el2%) = temp$
=0

The complexity of FN_QS_comp and FN_QS_swap is completely up to
you (wildcards could be allowed for example). By this means any
set of data can be sorted.

--------------------------------------------------------

FNshell_BinarySearch()
Params =>
         str search term
         str get term function
         str comparison function
         int minimum element number
         int maximum element number

       <=
         int element number of first match
             found (first element is 1) or
             -1 if match not found

The Binary Search technique is a powerful way of
quickly searching a set of sorted data. The way in
which it has been implemented for EvntShell makes
it even more useful in that any set of data can be
searched by the same routine.

The key to this are the two routines called during
the search to get an element of data and to compare
one element to another.

Search term (BinarySearch)
The search term is the string which will be searched
for during the binary search. Note that a string must
be passed to the search routine, numbers must be
converted first using STR$.

Get Term FN (BinarySearch)
Params =>
         int element number to fetch

       <=
         str value of element number

This function returns a string representing
the value of the specified element.

The function name must start with a '_'
character if the program is to be compressed.

Comparision FN (BinarySearch)
Params =>
         str term 1
         str term 2

       <=
         bool TRUE if term 1 is less than
              term 2, otherwise FALSE

This function returns TRUE or FALSE depending
on the outcome of the comparison. Exactly what
is compared is up to you!

The function name must start with a '_'
character if the program is to be compressed.

The Binary Search Technique
Given a set of sorted data, a check is first made halfway
through the list. If the searched for data is 'greater than'
this value then the next check is made half way between the
first point and the end of the list, otherwise the next check
is made half way between the first check and the start of the
list.

This continues (eliminating half the remaining data with each
check) until the data is found, or the list can contain no
more matches.

By this means very large amounts of data can be searched very
quickly indeed.

Example code (BinarySearch)
Assume a 100 element string array array$(), each element
containing a list of names sorted into alphabetic order.
The search can be carried out with:

result%=FNshell_BinarySearch("Fred","_GetTerm","_Comp",0,99)
REM rest of code....

DEF FN_GetTerm(nr%)
=array$(nr%)
:
DEF FN_Comp(term1$,term2$)
IF term1$ < term2$ THEN = TRUE ELSE =FALSE

result% contains -1 if 'Fred' is not present in array$, or
the element number if it is. The complexity of FN_GetTerm
and FN_Comp is completely up to you (wildcards could be
allowed for example). By this means any set of sorted data
can be searched - simply define the 'get term' and 'comparision'
functions to suit.
00000000  50 52 4f 43 73 68 65 6c  6c 5f 51 75 69 63 6b 53  |PROCshell_QuickS|
00000010  6f 72 74 28 29 0a 50 61  72 61 6d 73 20 3d 3e 0a  |ort().Params =>.|
00000020  20 20 20 20 20 20 20 20  20 73 74 72 20 63 6f 6d  |         str com|
00000030  70 61 72 69 73 6f 6e 20  66 75 6e 63 74 69 6f 6e  |parison function|
00000040  0a 20 20 20 20 20 20 20  20 20 73 74 72 20 73 77  |.         str sw|
00000050  61 70 20 66 75 6e 63 74  69 6f 6e 0a 20 20 20 20  |ap function.    |
00000060  20 20 20 20 20 62 6f 6f  6c 20 61 73 63 65 6e 64  |     bool ascend|
00000070  69 6e 67 20 66 6c 61 67  2c 20 6e 6f 6e 20 30 20  |ing flag, non 0 |
00000080  66 6f 72 20 61 73 63 65  6e 64 69 6e 67 0a 20 20  |for ascending.  |
00000090  20 20 20 20 20 20 20 20  20 20 20 20 73 6f 72 74  |            sort|
000000a0  2c 20 30 20 66 6f 72 20  64 65 73 63 65 6e 64 69  |, 0 for descendi|
000000b0  6e 67 20 73 6f 72 74 0a  20 20 20 20 20 20 20 20  |ng sort.        |
000000c0  20 69 6e 74 20 6d 69 6e  69 6d 75 6d 20 65 6c 65  | int minimum ele|
000000d0  6d 65 6e 74 20 6e 75 6d  62 65 72 20 74 6f 20 73  |ment number to s|
000000e0  6f 72 74 0a 20 20 20 20  20 20 20 20 20 69 6e 74  |ort.         int|
000000f0  20 6d 61 78 69 6d 75 6d  20 65 6c 65 6d 65 6e 74  | maximum element|
00000100  20 6e 75 6d 62 65 72 20  74 6f 20 73 6f 72 74 0a  | number to sort.|
00000110  0a 54 68 65 20 51 75 69  63 6b 53 6f 72 74 20 72  |.The QuickSort r|
00000120  6f 75 74 69 6e 65 20 75  73 65 73 20 61 20 66 61  |outine uses a fa|
00000130  73 74 20 73 6f 72 74 69  6e 67 20 74 65 63 68 6e  |st sorting techn|
00000140  69 71 75 65 0a 77 68 69  63 68 20 69 73 20 63 61  |ique.which is ca|
00000150  70 61 62 6c 65 20 6f 66  20 73 6f 72 74 69 6e 67  |pable of sorting|
00000160  20 61 6e 79 20 74 79 70  65 20 6f 66 20 64 61 74  | any type of dat|
00000170  61 2e 20 41 6e 0a 65 78  61 6d 70 6c 65 20 6f 66  |a. An.example of|
00000180  20 74 68 65 20 73 70 65  65 64 20 69 73 20 74 68  | the speed is th|
00000190  61 74 20 31 30 30 30 20  72 61 6e 64 6f 6d 20 69  |at 1000 random i|
000001a0  6e 74 65 67 65 72 73 0a  63 61 6e 20 62 65 20 73  |ntegers.can be s|
000001b0  6f 72 74 65 64 20 69 6e  20 61 72 6f 75 6e 64 20  |orted in around |
000001c0  31 35 20 73 65 63 6f 6e  64 73 20 6f 6e 20 61 6e  |15 seconds on an|
000001d0  20 41 52 4d 33 0a 6d 61  63 68 69 6e 65 2e 0a 0a  | ARM3.machine...|
000001e0  43 6f 6d 70 61 72 69 73  69 6f 6e 20 46 4e 20 28  |Comparision FN (|
000001f0  51 75 69 63 6b 53 6f 72  74 29 0a 50 61 72 61 6d  |QuickSort).Param|
00000200  73 20 3d 3e 0a 20 20 20  20 20 20 20 20 20 69 6e  |s =>.         in|
00000210  74 20 66 69 72 73 74 20  20 65 6c 65 6d 65 6e 74  |t first  element|
00000220  20 6e 72 0a 20 20 20 20  20 20 20 20 20 69 6e 74  | nr.         int|
00000230  20 73 65 63 6f 6e 64 20  65 6c 65 6d 65 6e 74 20  | second element |
00000240  6e 72 0a 0a 20 20 20 20  20 20 20 3c 3d 0a 20 20  |nr..       <=.  |
00000250  20 20 20 20 20 20 20 62  6f 6f 6c 20 54 52 55 45  |       bool TRUE|
00000260  20 69 66 20 76 61 6c 75  65 20 6f 66 20 66 69 72  | if value of fir|
00000270  73 74 20 65 6c 65 6d 65  6e 74 0a 20 20 20 20 20  |st element.     |
00000280  20 20 20 20 20 20 20 20  20 69 73 20 6c 65 73 73  |         is less|
00000290  20 74 68 61 6e 20 74 68  65 20 73 65 63 6f 6e 64  | than the second|
000002a0  2c 0a 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |,.              |
000002b0  6f 74 68 65 72 77 69 73  65 20 46 41 4c 53 45 0a  |otherwise FALSE.|
000002c0  0a 54 68 69 73 20 66 75  6e 63 74 69 6f 6e 20 72  |.This function r|
000002d0  65 74 75 72 6e 73 20 54  52 55 45 20 6f 72 20 46  |eturns TRUE or F|
000002e0  41 4c 53 45 20 64 65 70  65 6e 64 69 6e 67 0a 6f  |ALSE depending.o|
000002f0  6e 20 74 68 65 20 6f 75  74 63 6f 6d 65 20 6f 66  |n the outcome of|
00000300  20 74 68 65 20 63 6f 6d  70 61 72 69 73 6f 6e 2e  | the comparison.|
00000310  20 45 78 61 63 74 6c 79  20 77 68 61 74 0a 69 73  | Exactly what.is|
00000320  20 63 6f 6d 70 61 72 65  64 20 69 73 20 75 70 20  | compared is up |
00000330  74 6f 20 79 6f 75 21 0a  0a 54 68 65 20 66 75 6e  |to you!..The fun|
00000340  63 74 69 6f 6e 20 6e 61  6d 65 20 6d 75 73 74 20  |ction name must |
00000350  73 74 61 72 74 20 77 69  74 68 20 61 20 27 5f 27  |start with a '_'|
00000360  0a 63 68 61 72 61 63 74  65 72 20 69 66 20 74 68  |.character if th|
00000370  65 20 70 72 6f 67 72 61  6d 20 69 73 20 74 6f 20  |e program is to |
00000380  62 65 20 63 6f 6d 70 72  65 73 73 65 64 2e 0a 0a  |be compressed...|
00000390  53 77 61 70 20 46 4e 20  28 51 75 69 63 6b 53 6f  |Swap FN (QuickSo|
000003a0  72 74 29 0a 50 61 72 61  6d 73 20 3d 3e 0a 20 20  |rt).Params =>.  |
000003b0  20 20 20 20 20 20 20 69  6e 74 20 66 69 72 73 74  |       int first|
000003c0  20 20 65 6c 65 6d 65 6e  74 20 6e 72 0a 20 20 20  |  element nr.   |
000003d0  20 20 20 20 20 20 69 6e  74 20 73 65 63 6f 6e 64  |      int second|
000003e0  20 65 6c 65 6d 65 6e 74  20 6e 72 0a 0a 20 20 20  | element nr..   |
000003f0  20 20 20 20 3c 3d 0a 20  20 20 20 20 20 20 20 20  |    <=.         |
00000400  69 6e 74 20 6a 75 6e 6b  20 28 69 67 6e 6f 72 65  |int junk (ignore|
00000410  29 0a 0a 54 68 69 73 20  66 75 6e 63 74 69 6f 6e  |)..This function|
00000420  20 73 77 61 70 73 20 65  6c 65 6d 65 6e 74 20 31  | swaps element 1|
00000430  20 77 69 74 68 20 65 6c  65 6d 65 6e 74 0a 32 2e  | with element.2.|
00000440  0a 0a 54 68 65 20 66 75  6e 63 74 69 6f 6e 20 6e  |..The function n|
00000450  61 6d 65 20 6d 75 73 74  20 73 74 61 72 74 20 77  |ame must start w|
00000460  69 74 68 20 61 20 27 5f  27 0a 63 68 61 72 61 63  |ith a '_'.charac|
00000470  74 65 72 20 69 66 20 74  68 65 20 70 72 6f 67 72  |ter if the progr|
00000480  61 6d 20 69 73 20 74 6f  20 62 65 20 63 6f 6d 70  |am is to be comp|
00000490  72 65 73 73 65 64 2e 0a  0a 45 78 61 6d 70 6c 65  |ressed...Example|
000004a0  20 63 6f 64 65 20 28 51  75 69 63 6b 53 6f 72 74  | code (QuickSort|
000004b0  29 0a 41 73 73 75 6d 65  20 61 20 31 30 30 20 65  |).Assume a 100 e|
000004c0  6c 65 6d 65 6e 74 20 73  74 72 69 6e 67 20 61 72  |lement string ar|
000004d0  72 61 79 20 6e 61 6d 65  24 28 29 2c 20 65 61 63  |ray name$(), eac|
000004e0  68 20 65 6c 65 6d 65 6e  74 0a 63 6f 6e 74 61 69  |h element.contai|
000004f0  6e 69 6e 67 20 61 20 6c  69 73 74 20 6f 66 20 6e  |ning a list of n|
00000500  61 6d 65 73 20 77 68 69  63 68 20 6d 75 73 74 20  |ames which must |
00000510  62 65 20 73 6f 72 74 65  64 20 69 6e 74 6f 0a 61  |be sorted into.a|
00000520  6c 70 68 61 62 65 74 69  63 20 6f 72 64 65 72 2e  |lphabetic order.|
00000530  20 54 68 69 73 20 63 61  6e 20 62 65 20 61 63 68  | This can be ach|
00000540  69 65 76 65 64 20 77 69  74 68 3a 0a 0a 52 45 4d  |ieved with:..REM|
00000550  20 52 65 73 74 20 6f 66  20 63 6f 64 65 2e 2e 2e  | Rest of code...|
00000560  2e 0a 50 52 4f 43 73 68  65 6c 6c 5f 51 75 69 63  |..PROCshell_Quic|
00000570  6b 53 6f 72 74 28 22 5f  51 53 5f 63 6f 6d 70 22  |kSort("_QS_comp"|
00000580  2c 22 5f 51 53 5f 73 77  61 70 22 2c 31 2c 30 2c  |,"_QS_swap",1,0,|
00000590  31 30 30 29 0a 52 45 4d  20 4d 6f 72 65 20 63 6f  |100).REM More co|
000005a0  64 65 2e 2e 0a 0a 44 45  46 20 46 4e 5f 51 53 5f  |de....DEF FN_QS_|
000005b0  63 6f 6d 70 28 65 6c 31  25 2c 65 6c 32 25 29 0a  |comp(el1%,el2%).|
000005c0  49 46 20 56 41 4c 28 6e  61 6d 65 24 28 65 6c 31  |IF VAL(name$(el1|
000005d0  25 29 29 20 3c 20 56 41  4c 28 6e 61 6d 65 24 28  |%)) < VAL(name$(|
000005e0  65 6c 32 25 29 29 20 54  48 45 4e 20 3d 20 54 52  |el2%)) THEN = TR|
000005f0  55 45 20 45 4c 53 45 20  3d 20 46 41 4c 53 45 0a  |UE ELSE = FALSE.|
00000600  3a 0a 44 45 46 20 46 4e  5f 51 53 5f 73 77 61 70  |:.DEF FN_QS_swap|
00000610  28 65 6c 31 25 2c 65 6c  32 25 29 0a 4c 4f 43 41  |(el1%,el2%).LOCA|
00000620  4c 20 74 65 6d 70 24 0a  74 65 6d 70 24 20 3d 20  |L temp$.temp$ = |
00000630  6e 61 6d 65 24 28 65 6c  31 25 29 0a 6e 61 6d 65  |name$(el1%).name|
00000640  24 28 65 6c 31 25 29 20  3d 20 6e 61 6d 65 24 28  |$(el1%) = name$(|
00000650  65 6c 32 25 29 0a 6e 61  6d 65 24 28 65 6c 32 25  |el2%).name$(el2%|
00000660  29 20 3d 20 74 65 6d 70  24 0a 3d 30 0a 0a 54 68  |) = temp$.=0..Th|
00000670  65 20 63 6f 6d 70 6c 65  78 69 74 79 20 6f 66 20  |e complexity of |
00000680  46 4e 5f 51 53 5f 63 6f  6d 70 20 61 6e 64 20 46  |FN_QS_comp and F|
00000690  4e 5f 51 53 5f 73 77 61  70 20 69 73 20 63 6f 6d  |N_QS_swap is com|
000006a0  70 6c 65 74 65 6c 79 20  75 70 20 74 6f 0a 79 6f  |pletely up to.yo|
000006b0  75 20 28 77 69 6c 64 63  61 72 64 73 20 63 6f 75  |u (wildcards cou|
000006c0  6c 64 20 62 65 20 61 6c  6c 6f 77 65 64 20 66 6f  |ld be allowed fo|
000006d0  72 20 65 78 61 6d 70 6c  65 29 2e 20 42 79 20 74  |r example). By t|
000006e0  68 69 73 20 6d 65 61 6e  73 20 61 6e 79 0a 73 65  |his means any.se|
000006f0  74 20 6f 66 20 64 61 74  61 20 63 61 6e 20 62 65  |t of data can be|
00000700  20 73 6f 72 74 65 64 2e  0a 0a 2d 2d 2d 2d 2d 2d  | sorted...------|
00000710  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
00000740  2d 2d 0a 0a 46 4e 73 68  65 6c 6c 5f 42 69 6e 61  |--..FNshell_Bina|
00000750  72 79 53 65 61 72 63 68  28 29 0a 50 61 72 61 6d  |rySearch().Param|
00000760  73 20 3d 3e 0a 20 20 20  20 20 20 20 20 20 73 74  |s =>.         st|
00000770  72 20 73 65 61 72 63 68  20 74 65 72 6d 0a 20 20  |r search term.  |
00000780  20 20 20 20 20 20 20 73  74 72 20 67 65 74 20 74  |       str get t|
00000790  65 72 6d 20 66 75 6e 63  74 69 6f 6e 0a 20 20 20  |erm function.   |
000007a0  20 20 20 20 20 20 73 74  72 20 63 6f 6d 70 61 72  |      str compar|
000007b0  69 73 6f 6e 20 66 75 6e  63 74 69 6f 6e 0a 20 20  |ison function.  |
000007c0  20 20 20 20 20 20 20 69  6e 74 20 6d 69 6e 69 6d  |       int minim|
000007d0  75 6d 20 65 6c 65 6d 65  6e 74 20 6e 75 6d 62 65  |um element numbe|
000007e0  72 0a 20 20 20 20 20 20  20 20 20 69 6e 74 20 6d  |r.         int m|
000007f0  61 78 69 6d 75 6d 20 65  6c 65 6d 65 6e 74 20 6e  |aximum element n|
00000800  75 6d 62 65 72 0a 0a 20  20 20 20 20 20 20 3c 3d  |umber..       <=|
00000810  0a 20 20 20 20 20 20 20  20 20 69 6e 74 20 65 6c  |.         int el|
00000820  65 6d 65 6e 74 20 6e 75  6d 62 65 72 20 6f 66 20  |ement number of |
00000830  66 69 72 73 74 20 6d 61  74 63 68 0a 20 20 20 20  |first match.    |
00000840  20 20 20 20 20 20 20 20  20 66 6f 75 6e 64 20 28  |         found (|
00000850  66 69 72 73 74 20 65 6c  65 6d 65 6e 74 20 69 73  |first element is|
00000860  20 31 29 20 6f 72 0a 20  20 20 20 20 20 20 20 20  | 1) or.         |
00000870  20 20 20 20 2d 31 20 69  66 20 6d 61 74 63 68 20  |    -1 if match |
00000880  6e 6f 74 20 66 6f 75 6e  64 0a 0a 54 68 65 20 42  |not found..The B|
00000890  69 6e 61 72 79 20 53 65  61 72 63 68 20 74 65 63  |inary Search tec|
000008a0  68 6e 69 71 75 65 20 69  73 20 61 20 70 6f 77 65  |hnique is a powe|
000008b0  72 66 75 6c 20 77 61 79  20 6f 66 0a 71 75 69 63  |rful way of.quic|
000008c0  6b 6c 79 20 73 65 61 72  63 68 69 6e 67 20 61 20  |kly searching a |
000008d0  73 65 74 20 6f 66 20 73  6f 72 74 65 64 20 64 61  |set of sorted da|
000008e0  74 61 2e 20 54 68 65 20  77 61 79 20 69 6e 0a 77  |ta. The way in.w|
000008f0  68 69 63 68 20 69 74 20  68 61 73 20 62 65 65 6e  |hich it has been|
00000900  20 69 6d 70 6c 65 6d 65  6e 74 65 64 20 66 6f 72  | implemented for|
00000910  20 45 76 6e 74 53 68 65  6c 6c 20 6d 61 6b 65 73  | EvntShell makes|
00000920  0a 69 74 20 65 76 65 6e  20 6d 6f 72 65 20 75 73  |.it even more us|
00000930  65 66 75 6c 20 69 6e 20  74 68 61 74 20 61 6e 79  |eful in that any|
00000940  20 73 65 74 20 6f 66 20  64 61 74 61 20 63 61 6e  | set of data can|
00000950  20 62 65 0a 73 65 61 72  63 68 65 64 20 62 79 20  | be.searched by |
00000960  74 68 65 20 73 61 6d 65  20 72 6f 75 74 69 6e 65  |the same routine|
00000970  2e 0a 0a 54 68 65 20 6b  65 79 20 74 6f 20 74 68  |...The key to th|
00000980  69 73 20 61 72 65 20 74  68 65 20 74 77 6f 20 72  |is are the two r|
00000990  6f 75 74 69 6e 65 73 20  63 61 6c 6c 65 64 20 64  |outines called d|
000009a0  75 72 69 6e 67 0a 74 68  65 20 73 65 61 72 63 68  |uring.the search|
000009b0  20 74 6f 20 67 65 74 20  61 6e 20 65 6c 65 6d 65  | to get an eleme|
000009c0  6e 74 20 6f 66 20 64 61  74 61 20 61 6e 64 20 74  |nt of data and t|
000009d0  6f 20 63 6f 6d 70 61 72  65 0a 6f 6e 65 20 65 6c  |o compare.one el|
000009e0  65 6d 65 6e 74 20 74 6f  20 61 6e 6f 74 68 65 72  |ement to another|
000009f0  2e 0a 0a 53 65 61 72 63  68 20 74 65 72 6d 20 28  |...Search term (|
00000a00  42 69 6e 61 72 79 53 65  61 72 63 68 29 0a 54 68  |BinarySearch).Th|
00000a10  65 20 73 65 61 72 63 68  20 74 65 72 6d 20 69 73  |e search term is|
00000a20  20 74 68 65 20 73 74 72  69 6e 67 20 77 68 69 63  | the string whic|
00000a30  68 20 77 69 6c 6c 20 62  65 20 73 65 61 72 63 68  |h will be search|
00000a40  65 64 0a 66 6f 72 20 64  75 72 69 6e 67 20 74 68  |ed.for during th|
00000a50  65 20 62 69 6e 61 72 79  20 73 65 61 72 63 68 2e  |e binary search.|
00000a60  20 4e 6f 74 65 20 74 68  61 74 20 61 20 73 74 72  | Note that a str|
00000a70  69 6e 67 20 6d 75 73 74  0a 62 65 20 70 61 73 73  |ing must.be pass|
00000a80  65 64 20 74 6f 20 74 68  65 20 73 65 61 72 63 68  |ed to the search|
00000a90  20 72 6f 75 74 69 6e 65  2c 20 6e 75 6d 62 65 72  | routine, number|
00000aa0  73 20 6d 75 73 74 20 62  65 0a 63 6f 6e 76 65 72  |s must be.conver|
00000ab0  74 65 64 20 66 69 72 73  74 20 75 73 69 6e 67 20  |ted first using |
00000ac0  53 54 52 24 2e 0a 0a 47  65 74 20 54 65 72 6d 20  |STR$...Get Term |
00000ad0  46 4e 20 28 42 69 6e 61  72 79 53 65 61 72 63 68  |FN (BinarySearch|
00000ae0  29 0a 50 61 72 61 6d 73  20 3d 3e 0a 20 20 20 20  |).Params =>.    |
00000af0  20 20 20 20 20 69 6e 74  20 65 6c 65 6d 65 6e 74  |     int element|
00000b00  20 6e 75 6d 62 65 72 20  74 6f 20 66 65 74 63 68  | number to fetch|
00000b10  0a 0a 20 20 20 20 20 20  20 3c 3d 0a 20 20 20 20  |..       <=.    |
00000b20  20 20 20 20 20 73 74 72  20 76 61 6c 75 65 20 6f  |     str value o|
00000b30  66 20 65 6c 65 6d 65 6e  74 20 6e 75 6d 62 65 72  |f element number|
00000b40  0a 0a 54 68 69 73 20 66  75 6e 63 74 69 6f 6e 20  |..This function |
00000b50  72 65 74 75 72 6e 73 20  61 20 73 74 72 69 6e 67  |returns a string|
00000b60  20 72 65 70 72 65 73 65  6e 74 69 6e 67 0a 74 68  | representing.th|
00000b70  65 20 76 61 6c 75 65 20  6f 66 20 74 68 65 20 73  |e value of the s|
00000b80  70 65 63 69 66 69 65 64  20 65 6c 65 6d 65 6e 74  |pecified element|
00000b90  2e 0a 0a 54 68 65 20 66  75 6e 63 74 69 6f 6e 20  |...The function |
00000ba0  6e 61 6d 65 20 6d 75 73  74 20 73 74 61 72 74 20  |name must start |
00000bb0  77 69 74 68 20 61 20 27  5f 27 0a 63 68 61 72 61  |with a '_'.chara|
00000bc0  63 74 65 72 20 69 66 20  74 68 65 20 70 72 6f 67  |cter if the prog|
00000bd0  72 61 6d 20 69 73 20 74  6f 20 62 65 20 63 6f 6d  |ram is to be com|
00000be0  70 72 65 73 73 65 64 2e  0a 0a 43 6f 6d 70 61 72  |pressed...Compar|
00000bf0  69 73 69 6f 6e 20 46 4e  20 28 42 69 6e 61 72 79  |ision FN (Binary|
00000c00  53 65 61 72 63 68 29 0a  50 61 72 61 6d 73 20 3d  |Search).Params =|
00000c10  3e 0a 20 20 20 20 20 20  20 20 20 73 74 72 20 74  |>.         str t|
00000c20  65 72 6d 20 31 0a 20 20  20 20 20 20 20 20 20 73  |erm 1.         s|
00000c30  74 72 20 74 65 72 6d 20  32 0a 0a 20 20 20 20 20  |tr term 2..     |
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