# ESC Homework 1

### 1. Cohort Exercise 1.2
API:

### 2. Cohort Exercise 1.3
API:

### 3. Cohort Exercise 2
API:
<br/>
Python Code without using inbuilt class:

#although Python has a complex number class built-in, it is done without to justify converting to other languages
class ComplexNumber:
    def __init__(self, real, img):
        self.r = real
        self.i = img
    def conjugate(self):
        return ComplexNumber(self.r,-self.i);
    
    def __add__(self,otherCmplx):
        return ComplexNumber(self.r + otherCmplx.r,self.i + otherCmplx.i)

    def __sub__(self,otherCmplx):
        return ComplexNumber(self.r - otherCmplx.r,self.i - otherCmplx.i)

    def __mul__(self,otherCmplx):
        new_r = (self.r * otherCmplx.r) + (-1*(self.i * otherCmplx.i))
        new_i = (self.r * otherCmplx.i) + (self.i * otherCmplx.r)
        return ComplexNumber(new_r, new_i)

    def __truediv__(self,otherCmplx):
        other_cj = otherCmplx.conjugate()
        denom = otherCmplx * other_cj
        denom_r = denom.r
        nom = self * other_cj
        return ComplexNumber(nom.r/denom_r,nom.i/denom_r)
    __floordiv__ = __truediv__

class Report:
    def __init__(self):
        firstCmplx = [None,None]
        secondCmplx = [None,None]
        while(firstCmplx[0]==None and firstCmplx[1]==None):
            try:
                firstCmplx_inp = input("Give me a complex number(only digits) in format a,b: ").split(",");
                firstCmplx[0] = float(firstCmplx_inp[0])
                firstCmplx[1] = float(firstCmplx_inp[1])
            except IndexError:
                print("Wrong Format, Please try again")
    
        self.CmplxFirst = ComplexNumber(firstCmplx[0],firstCmplx[1])
        while(secondCmplx[0]==None and secondCmplx[1]==None):
            try:
                secondCmplx_inp = input("Give me the other complex number(only digits) in format a,b: ").split(",");
                secondCmplx[0] = float(secondCmplx_inp[0])
                secondCmplx[1] = float(secondCmplx_inp[1])
            except IndexError:
                print("Wrong Format, Please try again")
            
        self.CmplxSecond = ComplexNumber(secondCmplx[0],secondCmplx[1])
        self.execute()
    def execute(self):
        swap = False
        done = False
        print("Report:")
        while(swap==False or done==False):
            if(swap):
                temp = self.CmplxSecond
                self.CmplxSecond = self.CmplxFirst
                self.CmplxFirst = temp
                done = True
            
            
            print("First Cmplx Number: %f , %fi" % (self.CmplxFirst.r,self.CmplxFirst.i))
            print("Second Cmplx Number: %f , %fi"%(self.CmplxSecond.r,self.CmplxSecond.i))
            add = self.CmplxFirst + self.CmplxSecond
            print("Addition: %f , %fi" % (add.r,add.i))
            sub = self.CmplxFirst - self.CmplxSecond
            print("Subtraction: %f , %fi" % (sub.r,sub.i))
            mul = self.CmplxFirst * self.CmplxSecond
            print("Multiply: %f , %fi" % (mul.r,mul.i))
            div = self.CmplxFirst / self.CmplxSecond
            print("Division: %f , %fi" % (div.r,div.i))
            print("\n")
            swap = True

Report()

### 4. Cohort Exercise 4

### 5. Cohort Exercise 5
### 6. Cohort Exercise 6
### 7. Cohort Exercise 7
### 8. Cohort Exercise 8