[Scilab-users] Variable user equation input (2, 3 or more)

```Hello all,

I have a simple code which computes applies the Chinese Remainder theorem
(for a single variable) given three input congruence equations to solve for
x; not very elegant but it works:```
```
My query, is it possible to make this more generalised and vary the number
of input equations and give the user an option to specify the number of
equations?
For example, one may have 2, 4 or more equations.

Any pointers would be helpful.

Thanks
Lester

clear
// Chinese Remainder Theorem (CRT) for 3 congruence equations// e.g. x
≡ 3 mod 5; x ≡ 1 mod 7; x ≡ 6 mod 8// result ≡ 78 mod 280
m=evstr(x_dialog(['Moduli values:
'],'1'));r=evstr(x_dialog(['Remainder values: '],'1'));m1=m(1);
m2=m(2); m3=m(3);r1=r(1); r2=r(2); r3=r(3);n=evstr(x_dialog(['Number
of iterations: '],'1'));
M=m1*m2*m3;M1=M/m1; M2=M/m2; M3=M/m3;
for i=1:n
if modulo(((M1*i)-1),m1) == 0 then
M1_inv=i;
end

if modulo(((M2*i)-1),m2) == 0 then
M2_inv=i;
end

if modulo(((M3*i)-1),m3) == 0 then
M3_inv=i;
endend
x1=(r1*M1*M1_inv);x2=(r2*M2*M2_inv);x3=(r3*M3*M3_inv);
x = modulo((x1 + x2 + x3), M);
messagebox(['x ≡ '+string(r1)'+'  mod  '+string(m1)' ...
'x ≡ '+string(r2)'+'  mod  '+string(m2)' ...
'x ≡ '+string(r3)'+'  mod  '+string(m3)' ...
'The solution for (x): '+string(x)+' mod '+string(M)'], ...
'Solution of 3 congruence equations')
```
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