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Extract positive value from solve function

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eqs = [(A-a1) == d, (A-a2) == d2;
S = solve(eqs, [A B]);
a = S.A
b = S.B
In the code above, all other variables are given so i AM solving for A and B. The code above alrEADY works and displays a solution but how will I extract the positive values of the solution only , and assign them to variables a and b?

Answers (1)

Torsten
Torsten on 3 Apr 2022
Edited: Torsten on 3 Apr 2022
If a and b contain no more symbolic constants, then you can use
a = double(a);
b = double(b);
a = a(abs(imag(a)) < 1e-6);
b = b(abs(imag(b)) < 1e-6);
a = real(a);
b = real(b);
A = [];
B = [];
iter = 0;
for i = 1:numel(a)
if a(i) >= 0 && b(i) >= 0
iter = iter + 1;
A(iter) = a(i);
B(iter) = b(i);
end
end
A
B
  2 Comments
Sashi Mendoza
Sashi Mendoza on 3 Apr 2022
Edited: Sashi Mendoza on 3 Apr 2022
I tried inputting this, but hte code still yields 2 answers each for A and B
A =
0.8465 + 0.3307i
0.8465 - 0.3307i
B =
0.4579 - 0.2660i
0.4579 + 0.2660i
Torsten
Torsten on 3 Apr 2022
Edited: Torsten on 3 Apr 2022
Since you get complex solutions to your system, the two circles don't cross for the midpoints and radii given.
In order that they have points in common, the condition
d + d2 >= sqrt((a1-a2)^2 + (c1-c2)^2)
must be met.
I modified the code from above.

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