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MiniZinc

%-----------------------------------------------------------------------------%
% Requires that a set of tasks given by start times 's', durations 'd', and
% resource requirements 'r', never require more than a global resource bound
% 'b' at any one time.
% Assumptions:
% - forall i, d[i] >= 0 and r[i] >= 0
%-----------------------------------------------------------------------------%
predicate cumulative(array[int] of var int: s,
array[int] of var int: d,
array[int] of var int: r, var int: b) =
assert(index_set(s) == index_set(d) /\ index_set(s) == index_set(r),
"cumulative: the 3 array arguments must have identical index sets",
assert(lb_array(d) >= 0 /\ lb_array(r) >= 0,
"cumulative: durations and resource usages must be non-negative",
g12fd_cumulative(s, d, r, b)));
%-----------------------------------------------------------------------------%
% Optional parameters that can be used with the built-in G12/FD cumulative
% constraint.
%
annotation energy_feasibility_check;
annotation edge_finding_filtering;
annotation ext_edge_finding_filtering;
annotation histogram_filtering;
annotation idempotent;
%-----------------------------------------------------------------------------%
% The implementation of the cumulative constraint in the G12/FD solver.
% This should not be called directly, instead the definition above should
% be used.
predicate g12fd_cumulative(array[int] of var int: s,
array[int] of var int: d,
array[int] of var int: r, var int: b);
%-----------------------------------------------------------------------------%