Converting Complex numbers in Polar/Cartesian form to exponential form.

I was wondering if anybody knows a way of having matlab convert a complex number in either polar or cartesian form into exponential form and then actually display the answer in the form ' z=re^itheta'

I know the functions cart2pol and pol2cart can be used to convert between cartesian and polar form but i am yet to find a way to display an answer in exponential form and was wondering if this was indeed possible at all

thanks

Answer 1

[Travis Kent]

i know this is years late but i just did a similar thing; *i did not author the code to convert rectangular to polar, just the part to answer your question to display the output in exponential. you would have to alter it to either accept rectangular or cartesean, id assume by input() function

function[]=r2p(z)
% z=a+ib where a is real part & b is imaginary part
% magnitude=sqrt(a^2+b^2)
% angle=inver_tan(b/a)

a=real(z);
b=imag(z);
magnitude=sqrt(a^2+b^2);
disp('magnitude:')
disp(magnitude);
if a>0 && b>0
    angle=(atan(abs(b/a)))*180/pi;
    disp('angle in degrees:')
    disp(angle); 
  
elseif a<0 && b>0
    angle=180-((atan(abs(b/a)))*180/pi);
    disp('angle in degrees:')
    disp(angle); 
    
elseif a<0 && b<0
    angle=180+((atan(abs(b/a)))*180/pi);
    disp('angle in degrees:')
    disp(angle); 
     
elseif a>0 && b<0
    angle=-((atan(abs(b/a)))*180/pi);
    disp('angle in degrees:')
    disp(angle); 

end
r="e^i";
z="Z="
p=[z,magnitude,r,angle];

out=sprintf('%s',string(p));
fprintf(out)

end

say r2p(10+10i) is entered in command window it outputs:

>>r2p(10+10i)

magnitude:

14.1421

angle in degrees:

45

Z=14.1421e^i45

Answer 2

[Star Strider]

I’m not exactly certain, but as I understand it, you want phasor notation.

This works:

phasr = @(z) [abs(z)  angle(z)];
Z = 1 + 1i*1;
ph = phasr(Z);
retheta = ph(1)*exp(1i*ph(2))

[GeorgeH]

this still outputs an answer in complex number form, what i need from matlab is my answer to be outputted in the exponential form

i.e (8-7i) would be converted to '10.6e^-0.7i'

if at all possible

[Star Strider]

Try this:

phasr = @(z) [abs(z)  angle(z)];
Z = 8 + 1i*7;
ph = phasr(Z);
retheta = sprintf('%.1f %+.1fi', ph(1), ph(2))

It produces:

retheta =

10.6 +0.7i