Description

Contributor: Alex Meeraus

Small Model of Type : GAMS

Category : GAMS Test library

Main file : pipe3.gms

$title piped projections (PIPE3,SEQ=113)

$onText

Contributor: Alex Meeraus
$offText

$version 137 goto OK
$clearError
$stop
$label OK

* the domains are all alike and we either match
*
* left to right  <=
* right to left  <

alias(*,u1,u2,u3,u4);
set i / 1*5 /; alias(i,i1,i2,i3,i4);
parameter p1(*),p4(*),r1(*),r4(*)
          q12(*,*),q43(*,*), s12(*,*),s43(*,*)
          u123(*,*,*),u432(*,*,*),t123(*,*,*),t432(*,*,*)
          v1234(*,*,*,*),v4321(*,*,*,*),w1234(*,*,*,*),w4321(*,*,*,*);

set a4(*,*,*,*);

a4(i1,i2,i3,i4) = uniform(0,1) > .9;

r1(u1) = sum(a4(u1,u2,u3,u4), 1);
r4(u4) = sum(a4(u1,u2,u3,u4), 1);

option p4 < a4, p1 <= a4;

display r1,r4,p1,p4;

abort$sum(u1, r1(u1) <> p1(u1)) 'wrong aggregation for dim 1', r1,p1;
abort$sum(u1, r4(u1) <> p4(u1)) 'wrong aggregation for dum 4', r4,p4;

s12(u1,u2) = sum(a4(u1,u2,u3,u4), 1);
s43(u4,u3) = sum(a4(u1,u2,u3,u4), 1);

option q12 <= a4, q43 < a4;

display q12,q43,s12,s43;

abort$sum((u1,u2), q12(u1,u2) <> s12(u1,u2)) 'wrong aggregation for dim 1', r1,p1;
abort$sum((u4,u3), q43(u4,u3) <> s43(u4,u3)) 'wrong aggregation for dim 1', r1,p1;

t123(u1,u2,u3) = sum(a4(u1,u2,u3,u4), 1);
t432(u4,u3,u2) = sum(a4(u1,u2,u3,u4), 1);

option u123 <= a4, u432 < a4;

abort$sum((u1,u2,u3), u123(u1,u2,u3) <> t123(u1,u2,u3)) 'wrong aggregation for dim 1', r1,p1;
abort$sum((u4,u3,u2), u432(u4,u3,u2) <> t432(u4,u3,u2)) 'wrong aggregation for dim 1', r1,p1;

w4321(u4,u3,u2,u1) = sum(a4(u1,u2,u3,u4), 1);
w1234(u1,u2,u3,u4) = sum(a4(u1,u2,u3,u4), 1);

option v1234 <= a4, v4321 < a4;

abort$sum((u1,u2,u3,u4), v1234(u1,u2,u3,u4) <> w1234(u1,u2,u3,u4)) 'wrong aggregation for dim 1', r1,p1;
abort$sum((u4,u3,u2,u1), v4321(u4,u3,u2,u1) <> w4321(u4,u3,u2,u1)) 'wrong aggregation for dim 1', r1,p1;