git-subtree-dir: software/minizinc git-subtree-split: 4f10c82056ffcb1041d7ffef29d77a7eef92cf76
32 lines
1.4 KiB
MiniZinc
32 lines
1.4 KiB
MiniZinc
include "fzn_global_cardinality_low_up_closed.mzn";
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include "fzn_global_cardinality_low_up_closed_reif.mzn";
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/** @group globals.counting
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Requires that for all \p i, the value \a cover[\p i] appears at least \a lbound[\p i]
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and at most \a ubound[\p i] times in the array \a x.
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The elements of \a x must take their values from \a cover.
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*/
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predicate global_cardinality_low_up_closed(array[$X] of var int: x,
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array[$Y] of int: cover,
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array[$Y] of int: lbound,
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array[$Y] of int: ubound) =
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assert(
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index_sets_agree(cover,lbound) /\ index_sets_agree(cover,ubound),
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"global_cardinality_low_up_closed: " ++
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"cover, lbound and ubound must have identical index sets",
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if length(x) == 0 then
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assert(forall(l in array1d(lbound))( l <= 0) /\ forall(u in array1d(ubound))( u >= 0)
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\/ length(cover) == 0,
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"global_cardinality_low_up_closed: " ++
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"lbound and ubound must allow a count of 0 when x is empty, or also be empty",
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true)
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elseif length(cover) == 0 then
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assert(false,"global_cardinality_low_up_closed: " ++
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"cover must be empty when x is empty",
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false)
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else
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fzn_global_cardinality_low_up_closed(array1d(x), array1d(cover), array1d(lbound), array1d(ubound))
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endif
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);
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