Expression: An expression is a sequence of terms separated by “+” or “-”. Every term can be broken to sequence of factors separated by “*” or “/”. Every factor is either a number or a parenthesized expression. The syntax tree or parser tree decides which operations should carry out first. Mutually Recursive Method to solve an expression: A mechanism in which a set of cooperating methods calls each other is known as mutual recursion. To compute the value of expression, 3 mutually recursive methods are used. They are, “getExpressionValue” “getTermValue” “getFactorValue” The method “getExpressionValue” calls the method “getTermValue” to get the term value. The method “getTermValue” calls the method “getFactorValue” to get the value of factors.

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Chapter 13.5, Problem 18SC

Program Plan Intro

Expression:

An expression is a sequence of terms separated by “+” or “-”.

Every term can be broken to sequence of factors separated by “*” or “/”.

Every factor is either a number or a parenthesized expression.

The syntax tree or parser tree decides which operations should carry out first.

Mutually Recursive Method to solve an expression:

A mechanism in which a set of cooperating methods calls each other is known as mutual recursion.

To compute the value of expression, 3 mutually recursive methods are used. They are,

“getExpressionValue”

“getTermValue”

“getFactorValue”

The method “getExpressionValue” calls the method “getTermValue” to get the term value.

The method “getTermValue” calls the method “getFactorValue” to get the value of factors.

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