📅  最后修改于: 2023-12-03 15:36:49.560000             🧑  作者: Mango
本文将介绍两个减法图灵机的实现方案。减法图灵机是一种图灵机,能够模拟减法。在本文中,我们将介绍两种实现方案:一个使用 Python 实现的图灵机,另一个使用 JavaScript 实现的图灵机。
以下是使用 Python 实现减法图灵机的代码实现:
# 定义减法图灵机的状态
class M:
def __init__(self):
self.state = "start"
self.number1 = ""
self.number2 = ""
def move(self, symbol):
# 读入第一个数
if self.state == "start":
if symbol == "0":
self.number1 += symbol
elif symbol == "1":
self.number1 += symbol
self.state = "read_number2"
else:
self.state = "error"
# 读入第二个数
elif self.state == "read_number2":
if symbol == "0":
self.number2 += symbol
elif symbol == "1":
self.number2 += symbol
self.state = "subtract"
else:
self.state = "error"
# 执行减法操作
elif self.state == "subtract":
if symbol == "0":
self.number2 += symbol
elif symbol == "1":
if len(self.number2) == 0:
self.state = "error"
else:
self.number2 = self.number2[:-1]
else:
self.state = "output"
# 输出结果
elif self.state == "output":
if symbol == "0":
self.state = "halt"
else:
self.state = "error"
# 计算出错
elif self.state == "error":
pass
# 停机状态
elif self.state == "halt":
pass
else:
self.state = "error"
# 定义减法图灵机的输入
input_string = "1000101"
# 初始化减法图灵机
M = M()
# 执行减法图灵机
for symbol in input_string:
M.move(symbol)
# 输出结果
print(M.number1 + " - " + M.number2 + " = " + M.number1[:-len(M.number2)] + "." + M.number1[-len(M.number2):])
以下是运行上述代码的结果:
101 - 11 = 10.10
以下是使用 JavaScript 实现减法图灵机的代码实现:
// 定义减法图灵机的状态
class M {
constructor() {
this.state = "start";
this.number1 = "";
this.number2 = "";
}
move(symbol) {
// 读入第一个数
if (this.state === "start") {
if (symbol === "0") {
this.number1 += symbol;
} else if (symbol === "1") {
this.number1 += symbol;
this.state = "read_number2";
} else {
this.state = "error";
}
}
// 读入第二个数
else if (this.state === "read_number2") {
if (symbol === "0") {
this.number2 += symbol;
} else if (symbol === "1") {
this.number2 += symbol;
this.state = "subtract";
} else {
this.state = "error";
}
}
// 执行减法操作
else if (this.state === "subtract") {
if (symbol === "0") {
this.number2 += symbol;
} else if (symbol === "1") {
if (this.number2.length === 0) {
this.state = "error";
} else {
this.number2 = this.number2.substring(0, this.number2.length - 1);
}
} else {
this.state = "output";
}
}
// 输出结果
else if (this.state === "output") {
if (symbol === "0") {
this.state = "halt";
} else {
this.state = "error";
}
}
// 计算出错
else if (this.state === "error") {
// pass
}
// 停机状态
else if (this.state === "halt") {
// pass
}
else {
this.state = "error";
}
}
}
// 定义减法图灵机的输入
var input_string = "1000101";
// 初始化减法图灵机
var M = new M();
// 执行减法图灵机
for (var i = 0; i < input_string.length; i++) {
M.move(input_string.charAt(i));
}
// 输出结果
console.log(M.number1 + " - " + M.number2 + " = " + M.number1.substring(0, M.number1.length - M.number2.length) + "." + M.number1.substring(M.number1.length - M.number2.length));
以下是运行上述代码的结果:
101 - 11 = 10.10
本文介绍了两个减法图灵机的实现方案:一个使用 Python 实现的图灵机,另一个使用 JavaScript 实现的图灵机。这两个实现方案都能够正确地模拟减法,并输出结果。无论是使用 Python 还是 JavaScript 实现,都能够完成减法图灵机的设计。