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161 lines
3.7 KiB
Go
161 lines
3.7 KiB
Go
// Copyright © 2016 Alan A. A. Donovan & Brian W. Kernighan.
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// License: https://creativecommons.org/licenses/by-nc-sa/4.0/
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package eval
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import (
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"fmt"
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"strconv"
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"strings"
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"text/scanner"
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)
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// ---- lexer ----
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// This lexer is similar to the one described in Chapter 13.
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type lexer struct {
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scan scanner.Scanner
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token rune // current lookahead token
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}
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func (lex *lexer) next() { lex.token = lex.scan.Scan() }
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func (lex *lexer) text() string { return lex.scan.TokenText() }
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type lexPanic string
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// describe returns a string describing the current token, for use in errors.
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func (lex *lexer) describe() string {
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switch lex.token {
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case scanner.EOF:
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return "end of file"
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case scanner.Ident:
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return fmt.Sprintf("identifier %s", lex.text())
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case scanner.Int, scanner.Float:
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return fmt.Sprintf("number %s", lex.text())
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}
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return fmt.Sprintf("%q", rune(lex.token)) // any other rune
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}
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func precedence(op rune) int {
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switch op {
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case '*', '/':
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return 2
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case '+', '-':
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return 1
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}
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return 0
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}
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// ---- parser ----
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// Parse parses the input string as an arithmetic expression.
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//
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// expr = num a literal number, e.g., 3.14159
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// | id a variable name, e.g., x
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// | id '(' expr ',' ... ')' a function call
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// | '-' expr a unary operator (+-)
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// | expr '+' expr a binary operator (+-*/)
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//
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func Parse(input string) (_ Expr, err error) {
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defer func() {
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switch x := recover().(type) {
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case nil:
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// no panic
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case lexPanic:
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err = fmt.Errorf("%s", x)
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default:
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// unexpected panic: resume state of panic.
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panic(x)
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}
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}()
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lex := new(lexer)
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lex.scan.Init(strings.NewReader(input))
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lex.scan.Mode = scanner.ScanIdents | scanner.ScanInts | scanner.ScanFloats
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lex.next() // initial lookahead
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e := parseExpr(lex)
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if lex.token != scanner.EOF {
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return nil, fmt.Errorf("unexpected %s", lex.describe())
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}
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return e, nil
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}
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func parseExpr(lex *lexer) Expr { return parseBinary(lex, 1) }
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// binary = unary ('+' binary)*
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// parseBinary stops when it encounters an
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// operator of lower precedence than prec1.
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func parseBinary(lex *lexer, prec1 int) Expr {
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lhs := parseUnary(lex)
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for prec := precedence(lex.token); prec >= prec1; prec-- {
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for precedence(lex.token) == prec {
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op := lex.token
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lex.next() // consume operator
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rhs := parseBinary(lex, prec+1)
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lhs = binary{op, lhs, rhs}
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}
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}
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return lhs
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}
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// unary = '+' expr | primary
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func parseUnary(lex *lexer) Expr {
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if lex.token == '+' || lex.token == '-' {
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op := lex.token
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lex.next() // consume '+' or '-'
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return unary{op, parseUnary(lex)}
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}
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return parsePrimary(lex)
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}
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// primary = id
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// | id '(' expr ',' ... ',' expr ')'
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// | num
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// | '(' expr ')'
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func parsePrimary(lex *lexer) Expr {
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switch lex.token {
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case scanner.Ident:
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id := lex.text()
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lex.next() // consume Ident
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if lex.token != '(' {
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return Var(id)
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}
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lex.next() // consume '('
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var args []Expr
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if lex.token != ')' {
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for {
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args = append(args, parseExpr(lex))
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if lex.token != ',' {
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break
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}
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lex.next() // consume ','
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}
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if lex.token != ')' {
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msg := fmt.Sprintf("got %q, want ')'", lex.token)
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panic(lexPanic(msg))
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}
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}
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lex.next() // consume ')'
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return call{id, args}
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case scanner.Int, scanner.Float:
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f, err := strconv.ParseFloat(lex.text(), 64)
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if err != nil {
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panic(lexPanic(err.Error()))
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}
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lex.next() // consume number
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return literal(f)
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case '(':
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lex.next() // consume ')'
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e := parseExpr(lex)
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if lex.token != ')' {
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msg := fmt.Sprintf("got %s, want ')'", lex.describe())
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panic(lexPanic(msg))
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}
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lex.next() // consume ')'
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return e
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}
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msg := fmt.Sprintf("unexpected %s", lex.describe())
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panic(lexPanic(msg))
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}
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