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Parsing Expression With Xtext

The document describes the step-by-step parsing of the mathematical expression "(1 + 20) * 2" according to a specified grammar. The parsing breaks the expression down into a stack of syntactic elements including number literals, additions, multiplications, and primaries according to the grammar rules.

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Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text 1 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 + current = ruleMultiplication(); // {AdditionalExpression.left=current} AdditionalExpression temp = new AdditionalExpression(); temp.setLeft(current); current = temp:
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1 +
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 + 20 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 * 2
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 * EOF 2
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 * EOF Reduce! 2
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 * EOF 2
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition StackAST Grammar Text 1 + 20 * EOF 2 Reduce!
Addition returns Expression: Multiplication ({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 StackAST Grammar Text 1 + 20 * EOF 2 Finished!

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In this document
Powered by AI

Explains the grammar rules for Addition and Multiplication expressions using `PrimaryExpression`, `NumberLiteral`, and examples like (1 + 20) * 2.

Details the structure of expressions including Addition, Multiplication, and PrimaryExpressions with specific rules for combining them.

Shows the addition of steps in expression evaluation, iterating components until a complete expression is formed, illustrating the process.

Presents the process of reducing addition and multiplication expressions, featuring key components involved in step reductions.

Explains the finalization of expressions and handling EOF in calculation with a focus on completing the structure of expressions.

Parsing Expression With Xtext

  • 1.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition StackAST Grammar Text
  • 2.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text
  • 3.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
  • 4.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
  • 5.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text
  • 6.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text
  • 7.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text
  • 8.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text
  • 9.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text
  • 10.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1
  • 11.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1
  • 12.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text 1 Reduce!
  • 13.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 Reduce!
  • 14.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1
  • 15.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
  • 16.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 + current = ruleMultiplication(); // {AdditionalExpression.left=current} AdditionalExpression temp = new AdditionalExpression(); temp.setLeft(current); current = temp:
  • 17.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
  • 18.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
  • 19.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 +
  • 20.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication StackAST Grammar Text 1 +
  • 21.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition 5.Multiplication 6.PrimaryExpression StackAST Grammar Text 1 +
  • 22.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression 4.Addition StackAST Grammar Text 1 + 20 Reduce!
  • 23.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 Reduce!
  • 24.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20
  • 25.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20
  • 26.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 Reduce!
  • 27.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
  • 28.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
  • 29.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
  • 30.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 *
  • 31.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 * 2
  • 32.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication 3.PrimaryExpression StackAST Grammar Text 1 + 20 * EOF 2
  • 33.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 * EOF Reduce! 2
  • 34.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition 2.Multiplication StackAST Grammar Text 1 + 20 * EOF 2
  • 35.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 1.Addition StackAST Grammar Text 1 + 20 * EOF 2 Reduce!
  • 36.
    Addition returns Expression: Multiplication({AdditionalExpression.left=current} '+' right=Multiplication)*; Multiplication returns Expression: PrimaryExpression ({MultiplyExpression.left=current} '*' right=PrimaryExpression)*; PrimaryExpression returns Expression: {NumberLiteral} value=INT | '(' Addition ')'; ( 1 + 20 ) * 2 StackAST Grammar Text 1 + 20 * EOF 2 Finished!