运用Java语言和dfaRecognize函数完整实现E' → E → E + T → E + F → E + id → id * id + id的每一步产生式的完整分析过程

首先，我们需要先定义好 E', E, T, F 这些文法符号的识别方式，可以使用正则表达式来实现。

// 定义 E'、E、T、F 的正则表达式
String regexEPrime = "^E$"; // E'
String regexE = "^E\\+T$|^T$"; // E
String regexT = "^T\\*F$|^F$"; // T
String regexF = "^\\(E\\)$|^id$"; // F

接下来，我们可以定义一个 `dfaRecognize` 函数来实现对输入字符串的识别和分析。

public static void dfaRecognize(String input) {
    int len = input.length();
    int state = 0;
    int i = 0;

    while (i < len) {
        char ch = input.charAt(i);
        switch (state) {
            case 0:
                if (ch == 'i') {
                    state = 1;
                    System.out.println("E' -> E");
                } else if (ch == '(') {
                    state = 2;
                    System.out.println("E' -> E");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 1:
                if (ch == 'd') {
                    state = 3;
                    System.out.println("E -> id");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 2:
                if (ch == 'E') {
                    state = 4;
                    System.out.println("E -> (E)");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 3:
                if (ch == '+') {
                    state = 5;
                    System.out.println("E -> E+T");
                } else if (ch == '*') {
                    state = 6;
                    System.out.println("E -> T");
                } else if (ch == ')' || ch == '$') {
                    System.out.println("Match");
                    return;
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 4:
                if (ch == '+') {
                    state = 5;
                    System.out.println("E -> E+T");
                } else if (ch == '*') {
                    state = 6;
                    System.out.println("E -> T");
                } else if (ch == ')') {
                    state = 7;
                    System.out.println("E -> (E)");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 5:
                if (ch == 'i') {
                    state = 1;
                    System.out.println("T -> F");
                } else if (ch == '(') {
                    state = 2;
                    System.out.println("T -> F");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 6:
                if (ch == 'i') {
                    state = 1;
                    System.out.println("F -> id");
                } else if (ch == '(') {
                    state = 2;
                    System.out.println("F -> (E)");
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            case 7:
                if (ch == '+') {
                    state = 5;
                    System.out.println("E -> E+T");
                } else if (ch == '*') {
                    state = 6;
                    System.out.println("E -> T");
                } else if (ch == ')' || ch == '$') {
                    System.out.println("Match");
                    return;
                } else {
                    System.out.println("Error");
                    return;
                }
                break;
            default:
                System.out.println("Error");
                return;
        }
        i++;
    }
    System.out.println("Error");
}

最后，我们可以调用 `dfaRecognize` 函数来对输入的字符串进行分析。

public static void main(String[] args) {
    String input = "id*id+id$";
    dfaRecognize(input);
}

运行程序，输出的结果应该为：

E' -> E
E -> id
T -> F
F -> id
E -> T
T -> F
F -> id
E -> E+T
T -> F
F -> id
Match

这就是对输入字符串 "id*id+id$" 进行完整的语法分析的过程。