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Objective-C实现复数类+-x

一个简洁的Objective-C复数类实现

在软件开发中，复数运算是一个常见需求。Objective-C作为一门灵活强大的编程语言，拥有丰富的类和方法，能够轻松支持复数运算。以下是一个简洁的Objective-C实现复数类的代码示例，支持加法、减法、乘法、除法和取模运算。

类结构

#import 
   
    
@interface Complex : NSObject {
    double _real;
    double _imaginary;
}
@property (nonatomic, assign) double real;
@property (nonatomic, assign) double imaginary;
@end
   

实现细节

属性声明

@interface Complex : NSObject {
    double _real;
    double _imaginary;
}
@property (nonatomic, assign) double real;
@property (nonatomic, assign) double imaginary;
@end

初始化方法

-(id)initWithReal:(double)real withImaginary:(double)imaginary {
    self.real = real;
    self.imaginary = imaginary;
    return self;
}

加法运算

-(Complex *)add:(Complex *)other {
    Complex *result = [[Complex alloc] init];
    result.real = self.real + other.real;
    result.imaginary = self.imaginary + other.imaginary;
    return result;
}

减法运算

-(Complex *)subtract:(Complex *)other {
    Complex *result = [[Complex alloc] init];
    result.real = self.real - other.real;
    result.imaginary = self.imaginary - other.imaginary;
    return result;
}

乘法运算

-(Complex *)multiply:(Complex *)other {
    Complex *result = [[Complex alloc] init];
    result.real = self.real * other.real - self.imaginary * other.imaginary;
    result.imaginary = self.real * other.imaginary + self.imaginary * other.real;
    return result;
}

除法运算

-(Complex *)divide:(Complex *)other {
    Complex *result = [[Complex alloc] init];
    double divisor = other.real * other.real + other.imaginary * other.imaginary;
    if (divisor != 0) {
        result.real = (self.real * other.real + self.imaginary * other.imaginary) / divisor;
        result.imaginary = (self.imaginary * other.real - self.real * other.imaginary) / divisor;
    } else {
        result.real = 0;
        result.imaginary = 0;
    }
    return result;
}

取模运算

-(Complex *)modulo:(Complex *)other {
    Complex *result = [[Complex alloc] init];
    double divisor = other.real * other.real + other.imaginary * other.imaginary;
    if (divisor != 0) {
        result.real = (self.real * other.real + self.imaginary * other.imaginary) / divisor;
        result.imaginary = (self.imaginary * other.real - self.real * other.imaginary) / divisor;
    } else {
        result.real = 0;
        result.imaginary = 0;
    }
    return result;
}

优势与应用

这个复数类实现了基本的复数运算，适用于需要处理复数的场景，如工程力学、电路设计、科学计算等。代码结构清晰，方法简洁，易于扩展和维护。

如果需要更高级的功能，如复数的共轭、极坐标形式转换等，可以根据实际需求进行扩展。