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golang 四则运算计算器yacc归约手写实现

来源：脚本之家

时间：2023-01-13 08:44:46 466浏览 收藏

对于一个Golang开发者来说，牢固扎实的基础是十分重要的，golang学习网就来带大家一点点的掌握基础知识点。今天本篇文章带大家了解《golang 四则运算计算器yacc归约手写实现》，主要介绍了计算器、四则运算、yacc、归约，希望对大家的知识积累有所帮助，快点收藏起来吧，否则需要时就找不到了！

缘起

最近拜读前桥和弥[日]的>

开头一章便是教读者使用lex/yacc工具

制作四则运算器

其中yacc的移进/归约/梯度下降的思想很有启发

于是使用golang练习之

目标

  • 制作一个四则运算器, 从os.Stdin读入一行表达式, 然后输出计算过程和结果
  • 支持+ - * /
  • 支持左右括号
  • 支持负数

难点

记号扫描(lexer)

  • 逐字符扫描记号
  • 单字符记号可直接识别, + - * / ( )

多字符记号, 此处只有浮点数, 通过有限状态的转换进行识别

+ '-' = INT_STATUS

+ 'd' = INT_STATUS

+ '.' = DOT_STATUS

+ 'SPACE | + | - | * | / | ( | )' = INITIAL

+ 'd' = FRAG_STATUS

+ 'SPACE | + | - | * | / | ( | )' = INITIAL

运算优先级

  • /优先级最高, 可以立即归约计算
  • 括号次之, 遇到右括号, 应当触发+ -归约
  • 程序末尾, 没有新的记号剩余, 对+ -进行归约

识别负数

  • 简单起见, 本程序总是使用浮点数作为基本计算单位
  • 把负号识别为浮点数的可选部分: 浮点数 = -?d+(.d+)?

总体流程

  • 从os.Stdin读入一行表达式字符串
  • 逐字符扫描记号流, 放入记号队列
  • 逐记号出队, 置入计算栈
  • 判断栈顶是否符合归约条件, 是则进行计算
  • 记号队列空, 对计算栈进行最终计算
  • 输出结果

main.go

从os.Stdin循环读入行

调用lexer.Parse获得记号流

调用parser.Parse进行计算

func main() {
    reader := bufio.NewReader(os.Stdin)
    for {
        fmt.Printf("=> ")
        arrBytes, _, err := reader.ReadLine()
        if err != nil {
            panic(err.Error())
        }
        line := strings.TrimSpace(string(arrBytes))
        expression := line
        tokens, e := lexer.Parse(expression)
        if e != nil {
            println(e.Error())
        } else {
            e,v := parser.Parse(tokens)
            if e != nil {
                println(e.Error())
            }
            fmt.Println(strconv.FormatFloat(v, 'f', 10, 64))
        }
    }
}

tokens/tokens.go

定义记号

package tokens
type TOKENS string
const IntLiteral TOKENS = "INT"
const DoubleLiteral TOKENS = "DBL"
const ADD TOKENS = "ADD"
const SUB TOKENS = "SUB"
const MUL TOKENS = "MUL"
const DIV TOKENS = "DIV"
const LB TOKENS = "LB"
const RB TOKENS = "RB"
const UNKNOWN TOKENS = "UNKNOWN"
type Token struct {
    Token TOKENS
    Value string
    Position int
}
func OfRune(t TOKENS, r rune, from int)  *Token {
    return &Token {
        Token: t,
        Value : string(r),
        Position: from,
    }
}
func OfString(t TOKENS, s string, from int)  *Token {
    return &Token {
        Token: t,
        Value : s,
        Position: from,
    }
}

states/states.go

定义lexer的状态

type STATES int
const INITIAL STATES = 1
const INT_STATUS STATES = 11
const DOT_STATUS STATES = 12
const FRAG_STATUS STATES = 13

lexer/lexer.go

记号扫描

type tLexerState struct {
    state states.STATES
    tokens []*tokens.Token
    buffer []rune
    i0 int
    i1 int
    d0 int
    d1 int
}
func (me *tLexerState) AppendToken(t *tokens.Token) {
    me.tokens = append(me.tokens, t)
}
func (me *tLexerState) AppendChar(it rune) {
    me.buffer = append(me.buffer, it)
}
func (me *tLexerState) BufferSize() int {
    return len(me.buffer)
}
func (me *tLexerState) IntSize() int {
    return me.i1 - me.i0 + 1
}
func (me *tLexerState) FragSize() int {
    return me.d1 - me.d0 + 1
}
func Parse(line string) ([]*tokens.Token, error) {
    var state = &(tLexerState{
        state: states.INITIAL,
        tokens: make([]*tokens.Token, 0),
        buffer: make([]rune, 0),
        i0 : 0,
        i1 : 0,
        d0: 0,
        d1: 0,
    })
    for i, it := range line + "\n" {
        e := parseChar(state, i, it)
        if e != nil {
            return nil, e
        }
    }
    return state.tokens, nil
}
func parseChar(state *tLexerState, i int, it rune) error {
    var e error = nil
    switch state.state {
    case states.INITIAL:
        e = parseCharWhenInitial(state, i, it)
        break
    case states.INT_STATUS:
        e = parseCharWhenInt(state, i, it)
        break
    case states.DOT_STATUS:
        e = parseCharWhenDot(state, i, it)
        break
    case states.FRAG_STATUS:
        e = parseCharWhenFrag(state, i, it)
        break
    }
    return e
}
func parseCharWhenInitial(state *tLexerState, i int, it rune) error {
    if is_minus(it) || is_0_to_9(it) {
        state.state = states.INT_STATUS
        state.buffer = make([]rune, 0)
        state.buffer = append(state.buffer, it)
        state.i0 = i
        state.i1 = i
    } else if is_space(it){
        return nil
    } else if is_add(it) {
        state.AppendToken(tokens.OfRune(tokens.ADD, it, i))
    } else if is_sub(it) {
        state.AppendToken(tokens.OfRune(tokens.SUB, it, i))
    } else if is_mul(it) {
        state.AppendToken(tokens.OfRune(tokens.MUL, it, i))
    } else if is_div(it) {
        state.AppendToken(tokens.OfRune(tokens.DIV, it, i))
    } else if is_lb(it) {
        state.AppendToken(tokens.OfRune(tokens.LB, it, i))
    }  else if is_rb(it) {
        state.AppendToken(tokens.OfRune(tokens.RB, it, i))
    } else {
        return errors.New(fmt.Sprintf("parseCharWhenInitial, invalid char %c at %d", it, i))
    }
    return nil
}
func parseCharWhenInt(state *tLexerState, i int, it rune) error {
    if is_0_to_9(it) {
        if state.BufferSize() >= 10 {
            return errors.New(fmt.Sprintf("too large int number at %v", i))
        } else {
            state.AppendChar(it)
            state.i1 = i
        }
    } else if is_dot(it) {
        state.AppendChar(it)
        state.state = states.DOT_STATUS
    } else if is_space(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.state = states.INITIAL
    } else if is_rb(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.RB, it, i))
        state.state = states.INITIAL
    }  else if is_add(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.ADD, it, i))
        state.state = states.INITIAL
    } else if is_sub(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.SUB, it, i))
        state.state = states.INITIAL
    } else if is_mul(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.MUL, it, i))
        state.state = states.INITIAL
    } else if is_div(it) {
        state.AppendToken(tokens.OfString(tokens.IntLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.DIV, it, i))
        state.state = states.INITIAL
    } else {
        return errors.New(fmt.Sprintf("parseCharWhenInt, invalid char %c at %d", it, i))
    }
    return nil
}
func parseCharWhenDot(state *tLexerState, i int, it rune) error {
    if is_0_to_9(it) {
        state.state = states.FRAG_STATUS
        state.AppendChar(it)
        state.d0 = i
        state.d1 = i
    } else {
        return errors.New(fmt.Sprintf("parseCharWhenDot, invalid char %c at %d", it, i))
    }
    return nil
}
func parseCharWhenFrag(state *tLexerState, i int, it rune) error {
    if is_0_to_9(it) {
        if state.FragSize() >= 10 {
            return errors.New(fmt.Sprintf("too many chars for a double value at %d", i))
        } else {
            state.AppendChar(it)
            state.d1 = i
        }
    } else if is_space(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.state = states.INITIAL
    } else if is_add(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.ADD, it, i))
        state.state = states.INITIAL
    } else if is_sub(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.SUB, it, i))
        state.state = states.INITIAL
    } else if is_mul(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.MUL, it, i))
        state.state = states.INITIAL
    } else if is_div(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.DIV, it, i))
        state.state = states.INITIAL
    } else if is_rb(it) {
        state.AppendToken(tokens.OfString(tokens.DoubleLiteral, string(state.buffer), state.i1))
        state.AppendToken(tokens.OfRune(tokens.RB, it, i))
        state.state = states.INITIAL
    } else {
        return errors.New(fmt.Sprintf("parseCharWhenFrag, invalid char %c at %d", it, i))
    }
    return nil
}

parser/tStackNode.go

定义计算栈的一个节点. 计算栈中有两种节点: 已归约的值节点, 和尚未计算的记号节点

type tStackNodeType int
const NODE_VALUE tStackNodeType = 1
const NODE_TOKEN tStackNodeType = 2
type tStackNode struct {
    flag tStackNodeType
    token *tokens.Token
    value float64
}
func newValueNode(value float64) *tStackNode {
    return &tStackNode{
        flag: NODE_VALUE,
        value: value,
        token: nil,
    }
}
func newTokenNode(token *tokens.Token) *tStackNode {
    return &tStackNode{
        flag: NODE_TOKEN,
        token: token,
        value: 0,
    }
}
func (me *tStackNode) getTokenType() tokens.TOKENS {
    switch me.flag {
    case NODE_VALUE:
        return tokens.DoubleLiteral
    case NODE_TOKEN:
        switch me.token.Token {
        case tokens.IntLiteral:
            fallthrough
        case tokens.DoubleLiteral:
            return tokens.DoubleLiteral
        default:
            return me.token.Token
        }
    }
    return tokens.UNKNOWN
}
func (me *tStackNode) getDoubleValue() float64 {
    switch me.flag {
    case NODE_VALUE:
        return me.value
    case NODE_TOKEN:
        switch me.token.Token {
        case tokens.IntLiteral:
            fallthrough
        case tokens.DoubleLiteral:
            v1,e1 := strconv.ParseFloat(me.token.Value, 64)
            if e1 != nil {
                panic(e1)
            }
            return v1
        }
    }
    panic("value not avaiable")
}

parser/parser.go

type tParser struct {
    tokens []*tokens.Token
    stack []*tStackNode
    total int
    position int
}
func newParser(tokens []*tokens.Token)  *tParser {
    return &tParser{
        tokens: tokens,
        stack: make([]*tStackNode, 0),
        total : len(tokens),
        position: -1,
    }
}
func (me *tParser) showStack() string {
    lst := make([]string, 0)
    for _,it := range me.stack {
        switch it.flag {
        case NODE_VALUE:
            lst = append(lst, strconv.FormatFloat(it.value, 'f', 10, 64))
            break
        case NODE_TOKEN:
            switch it.token.Token {
            case tokens.DoubleLiteral:
                fallthrough
            case tokens.IntLiteral:
                lst = append(lst, it.token.Value)
                break
            default:
                lst = append(lst, it.token.Value)
                break
            }
        }
    }
    return strings.Join(lst, " ")
}
func (me *tParser) moreToken() bool {
    return me.position = me.total {
        return nil
    }
    return me.tokens[me.position]
}
func (me *tParser) reduce() {
    sCurrentStack := ""
    var fnCheckState = func() {
        sStackState := me.showStack()
        if sStackState != sCurrentStack {
            sCurrentStack = sStackState
            fmt.Printf("stack => %s\n", sStackState)
        }
    }
    for {
        fnCheckState()
        if me.reduceMulOrDiv() {
            continue
        }
        if me.reduceBrackets() {
            continue
        }
        if !me.moreToken() {
            if me.reduceAddOrSub() {
                break
            }
        }
        fnCheckState()
        //time.Sleep(1*time.Second)
        break
    }
}
func (me *tParser) stackPop() *tStackNode {
    if me.isStackEmpty() {
        return nil
    }
    var iStackSize = len(me.stack)
    var last = me.stack[iStackSize - 1]
    me.stack = me.stack[:(iStackSize-1)]
    return last
}
func (me *tParser) stackPopN(n int) []*tStackNode {
    if me.isStackEmpty() {
        return nil
    }
    var iStackSize = len(me.stack)
    if iStackSize 

输出


=> 1+2*(3-4*(5/6+(7-8*9)))
stack => 1
stack => 1 +
stack => 1 + 2
stack => 1 + 2 *
stack => 1 + 2 * (
stack => 1 + 2 * ( 3
stack => 1 + 2 * ( 3 -
stack => 1 + 2 * ( 3 - 4
stack => 1 + 2 * ( 3 - 4 *
stack => 1 + 2 * ( 3 - 4 * (
stack => 1 + 2 * ( 3 - 4 * ( 5
stack => 1 + 2 * ( 3 - 4 * ( 5 /
stack => 1 + 2 * ( 3 - 4 * ( 5 / 6
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 +
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + (
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 -
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 - 8
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 - 8 *
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 - 8 * 9
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 - 72.0000000000
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + ( 7 - 72.0000000000 )
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + -65.0000000000
stack => 1 + 2 * ( 3 - 4 * ( 0.8333333333 + -65.0000000000 )
stack => 1 + 2 * ( 3 - 4 * -64.1666666667
stack => 1 + 2 * ( 3 - -256.6666666667
stack => 1 + 2 * ( 3 - -256.6666666667 )
stack => 1 + 2 * 259.6666666667
stack => 1 + 519.3333333333
520.3333333333
=>


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golang 计算器 四则运算 yacc 归约
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