expression.pegjs

{
  /**
   * pegjs grammar:
   * https://github.com/pegjs/pegjs/blob/7d13580855/docs/grammar/README.md
   * https://github.com/pegjs/pegjs/blob/7d13580855/docs/grammar/action-execution-environment.md
   *
   * playground: https://pegjs.org/online
   *
   * > pegjs expression.pegjs -o parser.js --format es
   */

  const calcBinary = ({ left, op, right }) => {
  	switch (op) {
      case '+': return left + right; break
      case '-': return left - right; break
      case '*': return left * right; break
      case '/': return left / right; break
      case '^': return Math.pow(left, right); break
    }
  }
}

Expression = Sum

Sum = left:Product _ tail:(_ ('+' / '-') _ Product)* {
  const { isAst } = options
  return tail.reduce((left, [, op, , right]) => {
  	const node = { left, op, right }
    return isAst ? node : calcBinary(node)
  }, left)
}


Product = left:Power _ tail:(_ ('*' / '/') _ Power)* {
  const { isAst } = options
  return tail.reduce((left, [, op, , right]) => {
  	const node = { left, op, right }
    return isAst ? node : calcBinary(node)
  }, left)
}

Power = head: (left: Value _ '^' _)* _ right:Value {
  const { isAst } = options
  return head.reduceRight((right, [left]) => {
  	const node = { left, op: '^', right }
    return isAst ? node : calcBinary(node)
  }, right)
}


Value =
  Decimal
  / Integer
  / '(' _ expr:Expression _ ')' { return expr; }


Sign 'sign' = '-' / '+' / ''

Decimal 'decimal' = head:Sign  _ tail:([0-9]+'.'[0-9]+) {
  return Number(`${head}${tail.flat().join('')}`)
}

Integer 'integer' = head:Sign  _ tail:([0-9]+) {
  return Number(`${head}${tail.join('')}`)
}

_ 'whitespace' = [ \t\n\r]*

npm i -g pegjs@0.11.0-master.b7b87ea