Description

pvde

Small Model of Type : GAMS

Category : GAMS Test library

Main file : gdxrank1.gms

$title 'Tests some rank stuff' (GDXRANK1,SEQ=141)

* pvde

set I /i1 * i6/;
parameter A(I) /i1=+Inf, i2=-Inf, i3=Eps, i4= 10, i5=30, i6=20/;
parameter AIndex(i) 'permutation index of A';

* sort symbol; result in parameter AIndex
executeTool.checkErrorLevel 'alg.rank A AIndex';
$onImplicitAssign
display AIndex;

* create a sorted version
parameter ASorted(i);
   ASorted(i + (AIndex(i)- Ord(i))) = A(i);
display ASorted;

* check that the result is sorted
set C(i);
C(i)=Yes$(Ord(i) < Card(i)) and (ASorted(i) > ASorted(i+1));
Abort$(Card(C) <> 0) 'sort failed', C;

* Now some $libInclude rank test
option clear=AIndex, clear=ASorted;
$libInclude rank A i AIndex
ASorted(i + (AIndex(i)- Ord(i))) = A(i);
C(i)=Yes$(Ord(i) < Card(i)) and (ASorted(i) > ASorted(i+1));
Abort$(Card(C) <> 0) 'sort failed', C;

* Rank works over the domain so instead of EPS we can have 0
A('i3') = 0;

option clear=AIndex, clear=ASorted;
$libInclude rank A i AIndex
ASorted(i + (AIndex(i)- Ord(i))) = A(i);
C(i)=Yes$(Ord(i) < Card(i)) and (ASorted(i) > ASorted(i+1));
Abort$(Card(C) <> 0) 'sort failed', C;

* Now with some percentiles
Parameter
   pct(*) 'Percentiles to be computed' / q0 EPS, q25 25, q50 50, q75 75, q100 100 /;
option clear=AIndex, clear=ASorted;
$libInclude rank A i AIndex pct
ASorted(i + (AIndex(i)- Ord(i))) = A(i);
C(i)=Yes$(Ord(i) < Card(i)) and (ASorted(i) > ASorted(i+1));
Abort$(Card(C) <> 0) 'sort failed', C;
display pct;

* Now with a variable level and some percentiles
variable
   xA(I) /i1.l=+Inf, i2.l=-Inf, i3.l=0, i4.l= 10, i5.l=30, i6.l=20/;
Parameter
   xPct(*) 'Percentiles to be computed' / q0 EPS, q25 25, q50 50, q75 75, q100 100 /;

option clear=AIndex, clear=ASorted;
$onDotL
$libInclude rank A i AIndex xPct
ASorted(i + (AIndex(i)- Ord(i))) = A(i);
C(i)=Yes$(Ord(i) < Card(i)) and (ASorted(i) > ASorted(i+1));
Abort$(Card(C) <> 0) 'sort failed', C;
display xPct;

* Make sure, it works in a loop
Set
   l 'index of loop' / l1 /;

Parameter
   r(i)  'order' / /
   s(i)  'order';

loop(l,
  executeTool.checkErrorLevel 'alg.rank A r';
  s(i) = r(i);
);

Abort$(Card(r) <> Card(s)) 'Assignemnt in loop failed', r, s;