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September Morn Update

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Ingy döt Net 2019-09-12 10:33:56 -07:00
parent 4e2d22a71d
commit aac6731f2c
6856 changed files with 141342 additions and 21127 deletions
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18
Task/Closest-pair-problem/REXX/closest-pair-problem.rexx
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@ -1,4 +1,4 @@
/*REXX program solves the closest pair of points problem (in two dimensions). */
/*REXX program solves the closest pair of points problem (in two dimensions). */
parse arg N low high seed . /*obtain optional arguments from the CL*/
if N=='' | N=="," then N= 100 /*Not specified? Then use the default.*/
if low=='' | low=="," then low= 0 /* " " " " " " */
@ -6,16 +6,16 @@ if high=='' | high=="," then high= 20000 /* " " " " "
if datatype(seed, 'W') then call random ,,seed /*seed for RANDOM (BIF) repeatability.*/
w=length(high); w=w + (w//2==0) /*W: for aligning the output columns.*/
/*╔══════════════════════╗*/ do j=1 for N /*generate N random points*/
/*║ generate N points. ║*/ @x.j=random(low, high) /* " a random X */
/*╚══════════════════════╝*/ @y.j=random(low, high) /* " " " Y */
/*║ generate N points. ║*/ @x.j= random(low, high) /* " a random X */
/*╚══════════════════════╝*/ @y.j= random(low, high) /* " " " Y */
end /*j*/ /*X & Y make the point.*/
A=1; B=2 /* [↓] MINDD is actually the squared*/
minDD= (@x.A - @x.B)**2 + (@y.A - @y.B)**2 /*distance between the first two points*/
/* [↓] use of XJ & YJ speed things up.*/
do j=1 for N-1; xj=@x.j; yj=@y.j /*find minimum distance between a ··· */
do j=1 for N-1; xj= @x.j; yj= @y.j /*find minimum distance between a ··· */
do k=j+1 to N /* ··· point and all the other points.*/
dd=(xj - @x.k)**2 + (yj - @y.k)**2 /*compute squared distance from points.*/
if dd<minDD then parse value dd j k with minDD A B
dd= (xj - @x.k)**2 + (yj - @y.k)**2 /*compute squared distance from points.*/
if dd<minDD then parse value dd j k with minDD A B
end /*k*/ /* [↑] needn't take SQRT of DD (yet).*/
end /*j*/ /* [↑] when done, A & B are the points*/
$= 'For ' N " points, the minimum distance between the two points: "
@ -25,6 +25,6 @@ say left('', length($) - 1) "["right(@x.B, w)',' right(@y.B, w)"
exit /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
sqrt: procedure; parse arg x; if x=0 then return 0; d=digits(); m.=9; numeric form; h=d+6
numeric digits; parse value format(x,2,1,,0) 'E0' with g 'E' _ .; g=g *.5'e'_ % 2
do j=0 while h>9; m.j=h; h=h%2+1; end /*j*/
do k=j+5 to 0 by -1; numeric digits m.k; g=(g+x/g)*.5; end /*k*/; return g
numeric digits; parse value format(x,2,1,,0) 'E0' with g 'E' _ .; g= g *.5'e'_ % 2
do j=0 while h>9; m.j= h; h= h % 2 + 1; end /*j*/
do k=j+5 to 0 by -1; numeric digits m.k; g= (g+x/g)*.5; end /*k*/; return g