Code that was working under R2012b and do not work any more under R2016a: fcts solve and eval

Hi, I have following short code that was working under Matlab R2012b (see result below) and do not work any more under R2016a!

Could you examine this!

Thank you

fm    = 1000;
BW_Hz = 100;
delta_OMEGA = BW_Hz/fm;
ai = sqrt(2);
bi = 1;

syms x;
y=bi^2*x^8 -delta_OMEGA^2*bi*x^6  +(delta_OMEGA^2*ai^2-2*bi^2-2*delta_OMEGA^2*bi)*x^4 -delta_OMEGA^2*bi*x^2 + bi^2;
alphas1b=solve(y,x)
alphas1c=eval(alphas1b)

R2012b : OK --------

alphas1b =

                                              1.0360030147808337582053932803524
                                             0.96524815635941929264411150626075
                                            -0.96524815635941929264411150626075
                                             -1.0360030147808337582053932803524
  - 0.035333235097304614354828859673636 + 0.99937558630254651692473420806315*i
  - 0.035333235097304614354828859673636 - 0.99937558630254651692473420806315*i
     0.035333235097304614354828859673636 + 0.99937558630254651692473420806315*i
     0.035333235097304614354828859673636 - 0.99937558630254651692473420806315*i

alphas1c =

     1.0360          
     0.9652          
    -0.9652          
    -1.0360          
    -0.0353 + 0.9994i
    -0.0353 - 0.9994i
     0.0353 + 0.9994i
     0.0353 - 0.9994i

R2016a : ERRORS --------

alphas1b =
 -root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 1)^(1/2)
 -root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 2)^(1/2)
 -root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 3)^(1/2)
 -root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 4)^(1/2)
  root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 1)^(1/2)
  root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 2)^(1/2)
  root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 3)^(1/2)
  root(z^4 - z^3/100 - 2*z^2 - z/100 + 1, z, 4)^(1/2)
Error using evalin
Undefined function or variable 'z'.
Error in sym/eval (line 11)
s = evalin('caller',vectorize(map2mat(char(x))));

Answer 1

[Michelle Wu]

This is due to a change in the design of function 'solve' starting in R2014b. The solver now returns exact representations of the solutions. To get numeric results, you may want to try function 'vpasolve' instead of 'solve' in the newer release.

As a workaround, please replace line 'alphas1b=solve(y,x)' in your code with the following code to call the numeric solver:

alphas1b=vpasolve(y,x)

[Charles Praplan]

Thank you for the answer!

Answer 2

[Walter Roberson]

Never eval() a symbolic expression. Symbolic expressions are not written in MATLAB: they are in a language that is close to MATLAB.

[Stephen23]

Good luck getting that message across.