236 lines
6.5 KiB
MiniZinc
236 lines
6.5 KiB
MiniZinc
% A MiniZinc model
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<model> ::= [ <item> ";" ... ]
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% Items
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<item> ::= <include-item>
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| <var-decl-item>
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| <enum-item>
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| <assign-item>
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| <constraint-item>
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| <solve-item>
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| <output-item>
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| <predicate-item>
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| <test-item>
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| <function-item>
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| <annotation-item>
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<ti-expr-and-id> ::= <ti-expr> ":" <ident>
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% Include items
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<include-item> ::= "include" <string-literal>
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% Variable declaration items
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<var-decl-item> ::= <ti-expr-and-id> <annotations> [ "=" <expr> ]
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% Enum items
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<enum-item> ::= "enum" <ident> <annotations> [ "=" <enum-cases-list> ]
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<enum-cases-list> ::= <enum-cases>
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| <enum-cases-list> "++" <enum-cases>
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<enum-cases> ::= "{" <ident> "," ... "}"
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| <ident> "(" <ident> ")"
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% Assign items
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<assign-item> ::= <ident> "=" <expr>
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% Constraint items
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<constraint-item> ::= "constraint" <string-annotation> <expr>
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% Solve item
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<solve-item> ::= "solve" <annotations> "satisfy"
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| "solve" <annotations> "minimize" <expr>
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| "solve" <annotations> "maximize" <expr>
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% Output items
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<output-item> ::= "output" <expr>
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% Annotation items
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<annotation-item> ::= "annotation" <ident> <params>
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% Predicate, test and function items
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<predicate-item> ::= "predicate" <operation-item-tail>
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<test-item> ::= "test" <operation-item-tail>
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<function-item> ::= "function" <ti-expr> ":" <operation-item-tail>
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<operation-item-tail> ::= <ident> <params> <annotations> [ "=" <expr> ]
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<params> ::= [ ( <ti-expr-and-id> "," ... ) ]
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% Type-inst expressions
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<ti-expr> ::= <base-ti-expr>
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| <array-ti-expr>
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<base-ti-expr> ::= <var-par> <opt-ti> <set-ti> <base-ti-expr-tail>
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<var-par> ::= "var" | "par" | ε
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<opt-ti> ::= "opt" | ε
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<set-ti> ::= "set" "of" | ε
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<base-type> ::= "bool"
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| "int"
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| "float"
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| "string"
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<base-ti-expr-tail> ::= <ident>
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| <base-type>
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| <ti-variable-expr-tail>
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| "ann"
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| { <expr> "," ... }
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| <num-expr> ".." <num-expr>
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% Type-inst variables
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<ti-variable-expr-tail> ::= $[A-Za-z][A-Za-z0-9_]*
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% Array type-inst expressions
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<array-ti-expr> ::= "array" [ <ti-expr> "," ... ] "of" <base-ti-expr>
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| "list" "of" <base-ti-expr>
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% Expressions
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<expr> ::= <expr-atom> <expr-binop-tail>
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<expr-atom> ::= <expr-atom-head> <expr-atom-tail> <annotations>
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<expr-binop-tail> ::= [ <bin-op> <expr> ]
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<expr-atom-head> ::= <builtin-un-op> <expr-atom>
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| "(" <expr> ")"
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| <ident-or-quoted-op>
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| "_"
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| <bool-literal>
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| <int-literal>
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| <float-literal>
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| <string-literal>
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| <set-literal>
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| <set-comp>
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| <array-literal>
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| <array-literal-2d>
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| <array-comp>
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| <ann-literal>
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| <if-then-else-expr>
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| <let-expr>
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| <call-expr>
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| <gen-call-expr>
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<expr-atom-tail> ::= ε
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| <array-access-tail> <expr-atom-tail>
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% Numeric expressions
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<num-expr> ::= <num-expr-atom> <num-expr-binop-tail>
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<num-expr-atom> ::= <num-expr-atom-head> <expr-atom-tail> <annotations>
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<num-expr-binop-tail> ::= [ <num-bin-op> <num-expr> ]
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<num-expr-atom-head> ::= <builtin-num-un-op> <num-expr-atom>
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| "(" <num-expr> ")"
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| <ident-or-quoted-op>
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| <int-literal>
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| <float-literal>
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| <if-then-else-expr>
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| <let-expr>
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| <call-expr>
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| <gen-call-expr>
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% Built-in operators
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<builtin-op> ::= <builtin-bin-op> | <builtin-un-op>
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<bin-op> ::= <builtin-bin-op> | ‘<ident>‘
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<builtin-bin-op> ::= "<->" | "->" | "<-" | "\/" | "xor" | "/\" | "<" | ">" | "<=" | ">=" | "==" | "=" | "!="
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| "in" | "subset" | "superset" | "union" | "diff" | "symdiff"
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| ".." | "intersect" | "++" | <builtin-num-bin-op>
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<builtin-un-op> ::= "not" | <builtin-num-un-op>
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% Built-in numeric operators
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<num-bin-op> ::= <builtin-num-bin-op> | ‘<ident>‘
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<builtin-num-bin-op> ::= "+" | "-" | "*" | "/" | "div" | "mod" | "^"
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<builtin-num-un-op> ::= "+" | "-"
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% Boolean literals
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<bool-literal> ::= "false" | "true"
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% Integer literals
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<int-literal> ::= [0-9]+
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| 0x[0-9A-Fa-f]+
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| 0o[0-7]+
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% Float literals
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<float-literal> ::= [0-9]+"."[0-9]+
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| [0-9]+"."[0-9]+[Ee][-+]?[0-9]+
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| [0-9]+[Ee][-+]?[0-9]+
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| 0[xX]([0-9a-fA-F]*"."[0-9a-fA-F]+|[0-9a-fA-F]+".")([pP][+-]?[0-9]+)
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| (0[xX][0-9a-fA-F]+[pP][+-]?[0-9]+)
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% String literals
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<string-contents> ::= ([^"\n\] | \[^\n(])*
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<string-literal> ::= """ <string-contents> """
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| """ <string-contents> "\(" <string-interpolate-tail>
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<string-interpolate-tail> ::= <expr> ")"<string-contents>"""
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| <expr> ")"<string-contents>"\(" <string-interpolate-tail>
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% Set literals
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<set-literal> ::= "{" [ <expr> "," ... ] "}"
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% Set comprehensions
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<set-comp> ::= "{" <expr> "|" <comp-tail> "}"
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<comp-tail> ::= <generator> [ "where" <expr> ] "," ...
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<generator> ::= <ident> "," ... "in" <expr>
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% Array literals
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<array-literal> ::= "[" [ <expr> "," ... ] "]"
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% 2D Array literals
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<array-literal-2d> ::= "[|" [ (<expr> "," ...) "|" ... ] "|]"
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% Array comprehensions
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<array-comp> ::= "[" <expr> "|" <comp-tail> "]"
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% Array access
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<array-access-tail> ::= "[" <expr> "," ... "]"
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% Annotation literals
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<ann-literal> ::= <ident> [ "(" <expr> "," ... ")" ]
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% If-then-else expressions
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<if-then-else-expr> ::= "if" <expr> "then" <expr> [ "elseif" <expr> "then" <expr> ]* "else" <expr> "endif"
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% Call expressions
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<call-expr> ::= <ident-or-quoted-op> [ "(" <expr> "," ... ")" ]
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% Let expressions
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<let-expr> ::= "let" "{" <let-item> ";" ... "}" "in" <expr>
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<let-item> ::= <var-decl-item>
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| <constraint-item>
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% Generator call expressions
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<gen-call-expr> ::= <ident-or-quoted-op> "(" <comp-tail> ")" "(" <expr> ")"
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% Miscellaneous
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% Identifiers
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<ident> ::= [A-Za-z][A-Za-z0-9_]* | ’[^’\xa\xd\x0]*’
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% Identifiers and quoted operators
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<ident-or-quoted-op> ::= <ident>
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| ’<builtin-op>’
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% Annotations
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<annotations> ::= [ "::" <annotation> ]*
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<annotation> ::= <expr-atom-head> <expr-atom-tail>
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<string-annotation> ::= "::" <string-literal>
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