ECE331 SageMath Library

tigece331lib.ipynb

#Tiger's ECE331 SageMath Library Version 0.20
#latest at -> https://gist.github.com/kaovilai/8c5134a433e5288324a1e2708552144f/
def getReal(im):
    if type(im)==complex:
        return im.real
    return im.real()
def getImag(im):
    if type(im)==complex:
        return im.imag
    return im.imag()
def radToDeg(i):
    return i*180/pi
def degToRad(i):
    return i*pi/180
def polarToCartReal(radius,angleInDegrees):
    return radius*cos(degToRad(angleInDegrees))
def polarToCartImagn(radius,angleInDegrees):
    return radius*sin(degToRad(angleInDegrees))
def polarToCart(radius,angleInDegrees): #polar to cartesian complex
    return complex(polarToCartReal(radius,angleInDegrees),polarToCartImagn(radius,angleInDegrees))
def cartToPolarRadius(i): #cartesian to polar radius
    return sqrt(getReal(i)^2+getImag(i)^2)
def cartToPolarAngleDeg(i): #cartesian to polar amgle in degrees. algorithm source http://www.chemistrylearning.com/geometrical-to-polar-conversion/
    #quadrant I top right, (R,Im) = (+,+)
    if(getReal(i) >=0 and getImag(i) >=0):
        return radToDeg(atan(getImag(i)/getReal(i)))
    #quadrant II top left, (R,Im) = (-,+)
    elif(getReal(i) < 0 and getImag(i) >=0):
        return radToDeg(atan(getImag(i)/getReal(i)))+180
    #quadrant III bottom left, (R,Im) = (-,-)
    elif(getReal(i) < 0 and getImag(i) <0):
        return radToDeg(atan(getImag(i)/getReal(i)))-180
    #quadrant IV bottom right, (R,Im) = (+,-)
    elif(getReal(i) >=0 and getImag(i) <0):
        return -radToDeg(atan(getImag(-i)/getReal(i)))
    print "cartToPolarAngleDeg Error: case not found"
    return
def cartToPolarAngleRad(i):
    return degToRad(cartToPolarAngleDeg(i))
def printCartInPolar(complex_cart, rounded=False, units ="units"):
    if rounded is False:
        print "radius =[",cartToPolarRadius(complex_cart),"]; angle = [" ,cartToPolarAngleDeg(complex_cart), "] degrees [",units,"]"
    else:
        print "radius =[",round(cartToPolarRadius(complex_cart),6),"]; angle = [" ,round(cartToPolarAngleDeg(complex_cart),6), "] degrees [",units,"]"
    return

Clarity and feature add

Update to version 0.19
Add ability to handle both simple complex numbers and complex expression numbers

0.20

Fix getImag