$title 'Test use of set with a single element in a loop' (LOOP9,SEQ=225)

$onText
 This model demonstrates a problem we have in gams21.5 thru 21.7
 (updating of a one-dimensional set used in optimization)
$offText

Set s(*) Model Sequence Numbers /1*311/;

Set t(*) single model types /
  DECIS  ,
  GAMS  ,
  LP  ,
  MIP  ,
  NLP  ,
  MCP  ,
  MPSGE  ,
  MINLP  ,
  RMIP  ,
  RMINLP  ,
  CNS  ,
  DNLP  ,
  EMPSE  ,
  MPEC  ,
  QCP  ,
  MIQCP  ,
  RMIQCP  /;

Set xsolvercapabilities(*,*) /
  DEA.LP  ,
  DEA.MIP  ,
  DEA.RMIP  ,
  EMPSE.LP  ,
  EMPSE.RMIP  ,
  baron.LP  ,
  baron.MIP  ,
  baron.NLP  ,
  baron.MINLP  ,
  baron.RMIP  ,
  baron.RMINLP  ,
  baron.DNLP  ,
  baron.QCP  ,
  baron.MIQCP  ,
  baron.RMIQCP  ,
  conopt.LP  ,
  conopt.NLP  ,
  conopt.RMIP  ,
  conopt.RMINLP  ,
  conopt.CNS  ,
  conopt.DNLP  ,
  conopt.QCP  ,
  conopt.RMIQCP  ,
  cplex.LP  ,
  cplex.MIP  ,
  cplex.RMIP  ,
  cplex.QCP  ,
  cplex.MIQCP  ,
  cplex.RMIQCP  ,
  dicopt.MINLP  ,
  knitro.LP  ,
  knitro.NLP  ,
  knitro.RMIP  ,
  knitro.RMINLP  ,
  knitro.DNLP  ,
  knitro.QCP  ,
  knitro.RMIQCP  ,
  miles.MCP  ,
  minos.LP  ,
  minos.NLP  ,
  minos.RMIP  ,
  minos.RMINLP  ,
  minos.DNLP  ,
  minos.QCP  ,
  minos.RMIQCP  ,
  mosek.LP  ,
  mosek.MIP  ,
  mosek.NLP  ,
  mosek.RMIP  ,
  mosek.RMINLP  ,
  mosek.DNLP  ,
  mosek.QCP  ,
  mosek.MIQCP  ,
  mosek.RMIQCP  ,
  nlpec.MCP  ,
  nlpec.MPEC  ,
  emp.LP  ,
  emp.MIP  ,
  emp.RMIP  ,
  path.MCP  ,
  path.CNS  ,
  pathnlp.LP  ,
  pathnlp.NLP  ,
  pathnlp.RMIP  ,
  pathnlp.RMINLP  ,
  pathnlp.DNLP  ,
  pathnlp.QCP  ,
  pathnlp.RMIQCP  ,
  sbb.MINLP  ,
  sbb.MIQCP  ,
  snopt.LP  ,
  snopt.NLP  ,
  snopt.RMIP  ,
  snopt.RMINLP  ,
  snopt.DNLP  ,
  snopt.QCP  ,
  snopt.RMIQCP  ,
  xpress.LP  ,
  xpress.MIP  ,
  xpress.RMIP  ,
  xpress.QCP  ,
  xpress.RMIQCP  /;

Parameter test(*,*) model type summary /
  1.LP 1 ,
  1.total 1 ,
  2.LP 1 ,
  2.total 1 ,
  3.LP 1 ,
  3.total 1 ,
  4.LP 1 ,
  4.total 1 ,
  5.LP 1 ,
  5.total 1 ,
  6.LP 1 ,
  6.total 1 ,
  7.LP 1 ,
  7.total 1 ,
  8.LP 1 ,
  8.total 1 ,
  9.MIP 1 ,
  9.total 1 ,
  10.LP 1 ,
  10.total 1 ,
  11.LP 1 ,
  11.total 1 ,
  12.MIP 1 ,
  12.total 1 ,
  13.LP 1 ,
  13.total 1 ,
  14.MIP 1 ,
  14.total 1 ,
  15.LP 1 ,
  15.total 1 ,
  16.MIP 1 ,
  16.total 1 ,
  17.LP 1 ,
  17.total 1 ,
  18.NLP 1 ,
  18.total 1 ,
  19.MIP 1 ,
  19.total 1 ,
  20.NLP 1 ,
  20.total 1 ,
  21.NLP 1 ,
  21.total 1 ,
  22.NLP 1 ,
  22.total 1 ,
  23.LP 1 ,
  23.NLP 1 ,
  23.DNLP 1 ,
  23.total 3 ,
  24.NLP 1 ,
  24.total 1 ,
  25.NLP 1 ,
  25.total 1 ,
  26.LP 1 ,
  26.NLP 1 ,
  26.total 2 ,
  27.NLP 1 ,
  27.total 1 ,
  28.NLP 1 ,
  28.total 1 ,
  29.total 1 ,
  30.MIP 1 ,
  30.RMIP 1 ,
  30.total 2 ,
  31.MIP 1 ,
  31.total 1 ,
  32.LP 1 ,
  32.total 1 ,
  33.NLP 1 ,
  33.total 1 ,
  34.LP 1 ,
  34.total 1 ,
  35.LP 1 ,
  35.total 1 ,
  36.NLP 1 ,
  36.total 1 ,
  37.LP 1 ,
  37.total 1 ,
  38.MIP 1 ,
  38.total 1 ,
  39.LP 1 ,
  39.total 1 ,
  40.LP 1 ,
  40.total 1 ,
  41.NLP 1 ,
  41.total 1 ,
  42.MIP 1 ,
  42.total 1 ,
  43.NLP 1 ,
  43.total 1 ,
  44.LP 1 ,
  44.MIP 1 ,
  44.total 2 ,
  45.MIP 1 ,
  45.total 1 ,
  46.LP 1 ,
  46.total 1 ,
  47.NLP 1 ,
  47.total 1 ,
  48.MIP 1 ,
  48.total 1 ,
  49.LP 1 ,
  49.total 1 ,
  50.LP 1 ,
  50.total 1 ,
  51.MIP 1 ,
  51.total 1 ,
  52.LP 1 ,
  52.NLP 1 ,
  52.total 2 ,
  53.NLP 1 ,
  53.total 1 ,
  54.LP 1 ,
  54.total 1 ,
  55.LP 1 ,
  55.total 1 ,
  56.LP 1 ,
  56.total 1 ,
  57.LP 1 ,
  57.total 1 ,
  58.MIP 1 ,
  58.CNS 1 ,
  58.total 2 ,
  59.LP 1 ,
  59.total 1 ,
  60.LP 1 ,
  60.total 1 ,
  61.LP 1 ,
  61.total 1 ,
  62.LP 1 ,
  62.total 1 ,
  63.NLP 1 ,
  63.total 1 ,
  64.NLP 1 ,
  64.total 1 ,
  65.LP 1 ,
  65.total 1 ,
  66.LP 1 ,
  66.total 1 ,
  67.total 1 ,
  68.DNLP 1 ,
  68.total 1 ,
  69.NLP 1 ,
  69.total 1 ,
  70.total 1 ,
  71.total 1 ,
  72.total 1 ,
  73.total 1 ,
  74.LP 1 ,
  74.total 1 ,
  75.LP 1 ,
  75.total 1 ,
  76.NLP 1 ,
  76.total 1 ,
  77.NLP 1 ,
  77.total 1 ,
  78.LP 1 ,
  78.total 1 ,
  79.LP 1 ,
  79.total 1 ,
  80.NLP 1 ,
  80.total 1 ,
  81.NLP 1 ,
  81.total 1 ,
  82.LP 1 ,
  82.total 1 ,
  83.NLP 1 ,
  83.total 1 ,
  84.NLP 1 ,
  84.total 1 ,
  85.NLP 1 ,
  85.total 1 ,
  86.NLP 1 ,
  86.total 1 ,
  87.LP 1 ,
  87.total 1 ,
  88.LP 1 ,
  88.total 1 ,
  89.LP 1 ,
  89.total 1 ,
  90.LP 1 ,
  90.total 1 ,
  91.LP 1 ,
  91.total 1 ,
  92.LP 1 ,
  92.NLP 1 ,
  92.total 2 ,
  93.total 1 ,
  94.total 1 ,
  95.NLP 1 ,
  95.total 1 ,
  96.NLP 1 ,
  96.total 1 ,
  97.NLP 1 ,
  97.total 1 ,
  98.MIP 1 ,
  98.total 1 ,
  99.NLP 1 ,
  99.total 1 ,
  100.NLP 1 ,
  100.total 1 ,
  101.total 1 ,
  102.LP 1 ,
  102.total 1 ,
  103.MIP 1 ,
  103.total 2 ,
  104.total 1 ,
  105.MIP 1 ,
  105.total 1 ,
  106.LP 1 ,
  106.total 1 ,
  107.NLP 1 ,
  107.total 1 ,
  108.LP 1 ,
  108.total 1 ,
  109.MIP 1 ,
  109.total 1 ,
  110.LP 1 ,
  110.NLP 1 ,
  110.total 2 ,
  111.NLP 1 ,
  111.total 1 ,
  112.NLP 1 ,
  112.total 1 ,
  113.MIP 1 ,
  113.NLP 1 ,
  113.MINLP 1 ,
  113.total 1 ,
  114.MIP 1 ,
  114.total 1 ,
  115.MIP 1 ,
  115.total 1 ,
  116.MIP 1 ,
  116.NLP 1 ,
  116.MINLP 1 ,
  116.total 1 ,
  117.MIP 1 ,
  117.NLP 1 ,
  117.MINLP 1 ,
  117.total 1 ,
  118.MIP 1 ,
  118.NLP 1 ,
  118.total 2 ,
  119.MIP 1 ,
  119.NLP 1 ,
  119.MINLP 1 ,
  119.total 1 ,
  120.MIP 1 ,
  120.NLP 1 ,
  120.total 2 ,
  121.MIP 1 ,
  121.total 1 ,
  122.MIP 1 ,
  122.NLP 1 ,
  122.MINLP 1 ,
  122.total 1 ,
  123.MIP 1 ,
  123.NLP 1 ,
  123.MINLP 1 ,
  123.total 1 ,
  124.MIP 1 ,
  124.NLP 1 ,
  124.MINLP 1 ,
  124.RMINLP 1 ,
  124.total 3 ,
  125.MIP 1 ,
  125.NLP 1 ,
  125.MINLP 1 ,
  125.total 1 ,
  126.MCP 1 ,
  126.total 1 ,
  127.MCP 1 ,
  127.total 1 ,
  128.MCP 1 ,
  128.total 1 ,
  129.MCP 1 ,
  129.total 1 ,
  130.MCP 1 ,
  130.total 1 ,
  131.MCP 1 ,
  131.total 1 ,
  132.MCP 1 ,
  132.total 1 ,
  133.MCP 1 ,
  133.total 1 ,
  134.MCP 1 ,
  134.total 1 ,
  135.MCP 1 ,
  135.total 1 ,
  136.MCP 1 ,
  136.total 1 ,
  137.MCP 1 ,
  137.total 1 ,
  138.MCP 1 ,
  138.total 1 ,
  139.MCP 1 ,
  139.total 2 ,
  140.MCP 1 ,
  140.total 2 ,
  141.MCP 1 ,
  141.total 2 ,
  142.MCP 1 ,
  142.total 2 ,
  143.MCP 1 ,
  143.total 2 ,
  144.MCP 1 ,
  144.total 2 ,
  145.MCP 1 ,
  145.total 2 ,
  146.MCP 1 ,
  146.total 2 ,
  147.MCP 1 ,
  147.total 2 ,
  148.MCP 1 ,
  148.total 2 ,
  149.MCP 1 ,
  149.total 2 ,
  150.MCP 1 ,
  150.total 2 ,
  151.MCP 1 ,
  151.total 2 ,
  152.MCP 1 ,
  152.total 2 ,
  153.MCP 1 ,
  153.total 2 ,
  154.MCP 1 ,
  154.total 2 ,
  155.MCP 1 ,
  155.total 2 ,
  156.MCP 1 ,
  156.total 2 ,
  157.total 1 ,
  158.MIP 1 ,
  158.total 1 ,
  159.MIP 1 ,
  159.total 1 ,
  160.MIP 1 ,
  160.total 1 ,
  161.NLP 1 ,
  161.total 1 ,
  162.total 1 ,
  163.MIP 1 ,
  163.total 1 ,
  164.LP 1 ,
  164.total 1 ,
  165.NLP 1 ,
  165.total 1 ,
  166.NLP 1 ,
  166.total 1 ,
  167.NLP 1 ,
  167.total 1 ,
  168.MIP 1 ,
  168.NLP 1 ,
  168.MINLP 1 ,
  168.total 1 ,
  169.NLP 1 ,
  169.MCP 1 ,
  169.total 2 ,
  170.MIP 1 ,
  170.total 1 ,
  171.NLP 1 ,
  171.total 1 ,
  172.NLP 1 ,
  172.total 1 ,
  173.NLP 1 ,
  173.total 1 ,
  174.NLP 1 ,
  174.total 1 ,
  175.LP 1 ,
  175.total 1 ,
  176.MIP 1 ,
  176.total 1 ,
  177.MIP 1 ,
  177.total 1 ,
  178.MIP 1 ,
  178.total 1 ,
  179.MIP 1 ,
  179.total 1 ,
  180.MIP 1 ,
  180.total 1 ,
  181.LP 1 ,
  181.total 1 ,
  182.MIP 1 ,
  182.RMIP 1 ,
  182.total 2 ,
  183.total 1 ,
  184.MCP 1 ,
  184.total 1 ,
  185.MIP 1 ,
  185.total 1 ,
  186.LP 1 ,
  186.EMPSE 1 ,
  186.total 2 ,
  187.LP 1 ,
  187.EMPSE 1 ,
  187.total 2 ,
  188.LP 1 ,
  188.EMPSE 1 ,
  188.total 2 ,
  189.LP 1 ,
  189.EMPSE 1 ,
  189.total 2 ,
  190.total 1 ,
  191.MIP 1 ,
  191.total 1 ,
  192.LP 1 ,
  192.total 1 ,
  193.MIP 1 ,
  193.total 1 ,
  194.MIP 1 ,
  194.NLP 1 ,
  194.total 2 ,
  195.total 1 ,
  196.DECIS 1 ,
  196.LP 1 ,
  196.total 2 ,
  197.DECIS 1 ,
  197.total 1 ,
  198.DECIS 1 ,
  198.total 1 ,
  199.DECIS 1 ,
  199.LP 1 ,
  199.total 2 ,
  200.DECIS 1 ,
  200.LP 1 ,
  200.total 2 ,
  201.NLP 1 ,
  201.total 1 ,
  202.NLP 1 ,
  202.total 1 ,
  203.MIP 1 ,
  203.NLP 1 ,
  203.MINLP 1 ,
  203.total 1 ,
  204.MIP 1 ,
  204.NLP 1 ,
  204.MINLP 1 ,
  204.total 1 ,
  205.MIP 1 ,
  205.NLP 1 ,
  205.MINLP 1 ,
  205.total 1 ,
  206.MIP 1 ,
  206.NLP 1 ,
  206.MINLP 1 ,
  206.total 1 ,
  207.LP 1 ,
  207.MIP 1 ,
  207.total 2 ,
  208.MIP 1 ,
  208.total 1 ,
  209.CNS 1 ,
  209.total 1 ,
  210.CNS 1 ,
  210.total 1 ,
  211.CNS 1 ,
  211.total 1 ,
  212.CNS 1 ,
  212.total 1 ,
  213.MIP 1 ,
  213.total 1 ,
  214.NLP 1 ,
  214.total 1 ,
  215.total 1 ,
  216.total 1 ,
  217.MIP 1 ,
  217.NLP 1 ,
  217.MINLP 1 ,
  217.DNLP 1 ,
  217.total 3 ,
  218.MIP 1 ,
  218.total 1 ,
  219.MIP 1 ,
  219.total 1 ,
  220.MIP 1 ,
  220.total 1 ,
  221.MIP 1 ,
  221.total 1 ,
  222.MIP 1 ,
  222.NLP 1 ,
  222.MINLP 1 ,
  222.total 1 ,
  223.MIP 1 ,
  223.NLP 1 ,
  223.MINLP 1 ,
  223.total 1 ,
  224.MIP 1 ,
  224.NLP 1 ,
  224.MINLP 1 ,
  224.total 1 ,
  225.MIP 1 ,
  225.NLP 1 ,
  225.MINLP 1 ,
  225.total 1 ,
  226.MIP 1 ,
  226.NLP 1 ,
  226.MINLP 1 ,
  226.total 1 ,
  227.MIP 1 ,
  227.NLP 1 ,
  227.MINLP 1 ,
  227.total 1 ,
  228.NLP 1 ,
  228.MCP 1 ,
  228.total 2 ,
  229.NLP 1 ,
  229.total 1 ,
  230.NLP 1 ,
  230.total 1 ,
  231.NLP 1 ,
  231.total 1 ,
  232.NLP 1 ,
  232.total 1 ,
  233.NLP 1 ,
  233.total 1 ,
  234.NLP 1 ,
  234.total 1 ,
  235.NLP 1 ,
  235.total 1 ,
  236.NLP 1 ,
  236.total 1 ,
  237.NLP 1 ,
  237.total 1 ,
  238.NLP 1 ,
  238.total 1 ,
  239.NLP 1 ,
  239.total 1 ,
  240.NLP 1 ,
  240.total 1 ,
  241.NLP 1 ,
  241.total 1 ,
  242.NLP 1 ,
  242.total 1 ,
  243.NLP 1 ,
  243.total 1 ,
  244.NLP 1 ,
  244.total 1 ,
  245.NLP 1 ,
  245.total 1 ,
  246.NLP 1 ,
  246.total 1 ,
  247.MIP 1 ,
  247.total 1 ,
  248.LP 1 ,
  248.total 1 ,
  249.LP 1 ,
  249.total 1 ,
  250.MIP 1 ,
  250.NLP 1 ,
  250.MINLP 1 ,
  250.total 1 ,
  251.NLP 1 ,
  251.total 1 ,
  252.NLP 1 ,
  252.total 1 ,
  253.NLP 1 ,
  253.total 1 ,
  254.NLP 1 ,
  254.total 1 ,
  255.NLP 1 ,
  255.total 1 ,
  256.NLP 1 ,
  256.total 1 ,
  257.NLP 1 ,
  257.total 1 ,
  258.NLP 1 ,
  258.total 1 ,
  259.DNLP 1 ,
  259.total 1 ,
  260.DNLP 1 ,
  260.total 1 ,
  261.NLP 1 ,
  261.total 1 ,
  262.total 1 ,
  263.DNLP 1 ,
  263.total 1 ,
  264.NLP 1 ,
  264.total 1 ,
  265.DNLP 1 ,
  265.total 1 ,
  266.NLP 1 ,
  266.total 1 ,
  267.NLP 1 ,
  267.total 1 ,
  268.MIP 1 ,
  268.total 1 ,
  269.MCP 1 ,
  269.MPEC 1 ,
  269.total 2 ,
  270.MIP 1 ,
  270.NLP 1 ,
  270.MINLP 1 ,
  270.total 1 ,
  271.LP 1 ,
  271.total 1 ,
  272.MIP 1 ,
  272.total 1 ,
  273.LP 1 ,
  273.total 1 ,
  274.NLP 1 ,
  274.total 1 ,
  275.NLP 1 ,
  275.total 1 ,
  276.NLP 1 ,
  276.total 1 ,
  277.NLP 1 ,
  277.total 1 ,
  278.NLP 1 ,
  278.total 1 ,
  279.NLP 1 ,
  279.total 1 ,
  280.NLP 1 ,
  280.total 1 ,
  281.NLP 1 ,
  281.total 1 ,
  282.MIP 1 ,
  282.QCP 1 ,
  282.MIQCP 1 ,
  282.total 2 ,
  283.QCP 1 ,
  283.total 1 ,
  284.QCP 1 ,
  284.total 1 ,
  285.QCP 1 ,
  285.total 1 ,
  286.MIP 1 ,
  286.NLP 1 ,
  286.MINLP 1 ,
  286.total 1 ,
  287.MIP 1 ,
  287.total 1 ,
  288.MIP 1 ,
  288.total 1 ,
  289.MIP 1 ,
  289.total 1 ,
  290.MIP 1 ,
  290.total 1 ,
  291.MIP 1 ,
  291.QCP 1 ,
  291.MIQCP 1 ,
  291.total 1 ,
  292.total 1 ,
  293.QCP 1 ,
  293.total 1 ,
  294.MIP 1 ,
  294.total 1 ,
  295.NLP 1 ,
  295.total 1 ,
  296.MIP 1 ,
  296.QCP 1 ,
  296.MIQCP 1 ,
  296.total 1 ,
  297.total 1 ,
  298.MIP 1 ,
  298.total 1 ,
  299.DNLP 1 ,
  299.total 1 ,
  300.DNLP 1 ,
  300.total 1 ,
  301.NLP 1 ,
  301.total 1 ,
  302.NLP 1 ,
  302.total 1 ,
  303.NLP 1 ,
  303.total 1 ,
  304.MCP 1 ,
  304.total 1 ,
  305.DNLP 1 ,
  305.total 1 ,
  306.MIP 1 ,
  306.total 1 ,
  307.total 1 ,
  308.total 1 ,
  309.MIP 1 ,
  309.total 1 ,
  310.MIP 1 ,
  310.total 1 ,
  311.total 1 ,
  total.DECIS 5 ,
  total.GAMS 24 ,
  total.LP 67 ,
  total.MIP 57 ,
  total.NLP 98 ,
  total.MCP 35 ,
  total.MPSGE 19 ,
  total.MINLP 23 ,
  total.RMIP 2 ,
  total.RMINLP 1 ,
  total.CNS 5 ,
  total.DNLP 10 ,
  total.EMPSE 4 ,
  total.MPEC 1 ,
  total.QCP 5 ,
  total.MIQCP 3 /;

Set solver(*) master set of solvers /
  baron  ,
  conopt  ,
  cplex  ,
  dicopt  ,
  knitro  ,
  miles  ,
  minos  ,
  mosek  ,
  nlpec  ,
  emp  ,
  path  ,
  pathnlp  ,
  sbb  ,
  snopt  ,
  xpress  /;

set ttt(t), sss(solver);

scalar xxx /130/, spd, spd2, ords;
loop {s$((ord(s) >= 121) and (ord(s) <= 150)),
   ttt(t) = test(s,t);
   sss(solver) = NO;
   sss(solver) = sum(ttt, xsolvercapabilities(solver,ttt));
*   sss(solver)$xSolvers(solver) = sum(ttt, xsolvercapabilities(solver,ttt));
   spd = 0;
   spd2=0;
   if {(card(ttt)=1),
      OrdS = Ord(s);
      if { (OrdS >= xxx),
         spd=sum{xsolvercapabilities(sss,ttt), 1};
      };
      spd2 = 0;
      loop{xsolvercapabilities(sss,ttt),
        spd2 = spd2 + 1;
      };
      if { (OrdS >= xxx) and (spd <> spd2),
        display "failed with", OrdS, spd, spd2
        abort "failed check";
      };
   };
};