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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Forward-difference/REXX/forward-difference-2.rexx Normal file
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/*REXX program computes the forward difference of a list of numbers. */
numeric digits 100 /*ensure enough accuracy (decimal digs)*/
parse arg e ',' N /*get a list: ε1 ε2 ε3 ε4 ··· , order */
if e=='' then e=90 47 58 29 22 32 55 5 55 73 /*Not specified? Then use the default.*/
#=words(e) /*# is the number of elements in list.*/
/* [↓] verify list items are numeric. */
do i=1 for #; _=word(e, i) /*process each number one at a time. */
if \datatype(_, 'N') then call ser _ "isn't a valid number"; @.i=_/1
end /*i*/ /* [↑] removes superfluous stuff. */
/* [↓] process the optional order. */
if N=='' then parse value 0 # # with bot top N /*define the default order range. */
else parse var N bot 1 top /*Not specified? Then use only 1 order*/
if #==0 then call ser "no numbers were specified."
if N<0 then call ser N "(order) can't be negative."
if N># then call ser N "(order) can't be greater than" #
say right(# 'numbers:', 44) e /*display the header (title) and ··· */
say left('', 44)copies('─', length(e)+2) /*display the header fence. */
/* [↓] where da rubber meets da road. */
do o=bot to top; do r=1 for #; !.r=@.r; end /*r*/; $=
do j=1 for o; d=!.j; do k=j+1 to #; parse value !.k !.k-d with d !.k; end /*k*/
end /*j*/
do i=o+1 to #; $=$ !.i/1; end /*i*/
if $=='' then $=' [null]'
say right(o, 7)th(o)'─order forward difference vector =' $
end /*o*/
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
ser: say; say '***error***'; say arg(1); say; exit 13
th: procedure; x=abs(arg(1)); return word('th st nd rd',1+x//10*(x//100%10\==1)*(x//10<4))