/* Complex Number Multiplication A complex number can be expressed as (a, b) or as a + bi. a is called the number's real part, and b is called its imaginary part. i is defined by i x i = -1. Write a program that reads complex numbers from the input, multiplies, and prints the result. For example: Input: 1+2i * 3+4i (×) (notice the spaces between each number and the operator) also: 0=0+0i Output: -5+i10 Explanation: (1+2i) *(3+4i) = 1*3 + 1*4*i + 2*i*3 + 2*i*4*i = 3 + 10*i + 8*i*i = 3 + 10*i + -8 = -5 + 10i !!WARNING!! If you want to compute 8/4 you need to enter 8+0i / 4+0i !!!! Bonus: Implement complex number division. Input: same as (×) but change * with whatever you want from: +,-,/ and ^ (power, in C++ pow()) !!WARNING!! ^ is very approximative ! */ #include #include #include using namespace std; class Complex{ private://because why not ? float real, imaginary; public: Complex(float r, float i) :real(r), imaginary(i){} float getReal(){ return real; } float getImaginary(){ return imaginary; } void setReal(float x){ real = x;//to change the existing value } void setImaginary(float y){ imaginary = y; //this->imaginary = y; also works } void setNew(float a, float b){ real = a; imaginary = b; } float module(){ return sqrt(this->real*this->real+this->imaginary*this->imaginary); }; float argument(){ return atan(this->imaginary/this->real); } Complex operator +(Complex &b){ Complex c(this->real+b.real,this->imaginary+b.imaginary); return c; } Complex operator -(Complex &b){ Complex c(this->real-b.real,this->imaginary-b.imaginary); return c; } Complex operator *(Complex &b){ Complex c(this->real*b.real-this->imaginary*b.imaginary,this->imaginary*b.real+b.imaginary*this->real); return c; } Complex operator ^(Complex &d){ float x = this->real; float y=this->imaginary; Complex ref(x,y); float a = d.real; float b = d.imaginary; Complex c(0,0); if(!a && !b && !x && !y){ throw 42; } else if(!x && !y){ c.setNew(0,0); } else if(!a && !b){ c.setNew(1,0); } else if(!b && !y){ c.setNew(pow(x,a),0); }else{ float z1 = ref.module(); float theta = ref.argument(); float alpha = a*theta+b*log(z1); float m = exp(a*log(z1)-b*theta); c.setNew(m*cos(alpha),m*sin(alpha)); } return c; } Complex operator /(Complex &b){ Complex a(this->real,this->imaginary); float xb = b.real; float yb = b.imaginary; if(!xb && !yb){ throw 66; }else{ float cxb = xb*xb; float cyb = yb*yb; float modb = cxb+cyb; Complex tmp(xb,(-1)*yb); Complex uc=a*tmp; Complex c(uc.real/modb,uc.imaginary/modb); return c; } } void show(){ float r = this->real; float i = this->imaginary; if(r==0 && i==0) cout<<0; else if(r==0 && i==1) cout<<"i"; else if(r==0) cout<

complex.cpp