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grammar EquationSystem;

options {
  language=C;
  output=AST;
}

tokens {
  SYSTEM = 'system' ;
  PLUS = '+' ;
  SUB = '-' ;
  MULT = '*' ;
  MAXIMUM = 'max' ;
  MINIMUM = 'min' ;
  NEWLINE = '\n' ;
}

equation_system : equation ( NEWLINE! + equation  )* (NEWLINE!) *;
equation : VARIABLE '='! maxExpr;

maxExpr : MAXIMUM^ '('! minExpr ( ','! minExpr )* ')'! | minExpr;
minExpr : MINIMUM^ '('! maxExpr ( ','! maxExpr )* ')'! | expr ;

expr : term ( (PLUS | MULT | SUB)^ term )* ;

term : NUMBER | VARIABLE ;


NUMBER : (DIGIT)+ ;
VARIABLE: (LETTER) (LETTER | DIGIT)* ;
WHITESPACE : ( '\t' | ' ' | '\u000C' )+
             {
               $channel = HIDDEN;
             } ;

fragment
DIGIT : '0' .. '9' ;
fragment
LETTER: 'a' .. 'z' ;