Number of zeros in [a, b[ : sturmab

sturmab takes four arguments: a polynomial expression P, a variable name and two real or complex numbers a and b

• if a and b are reals, sturmab returns the number of sign changes of P on ]a; b]. In other words, it returns the number of zeros in [a, b[ of the polynomial P/G where G = gcd(P,diff(P)).
• if a or b are complex, sturmab returns the number of complex roots of P in the rectangle having a and b as opposite vertices.

Input :

sturmab(x^2*(x^3+2),x,-2,0)

Output :

1

Input :

sturmab(x^3-1,x,-2-i,5+3i

Output :

3

Input :

sturmab(x^3-1,x,-i,5+3i

Output :

1

Warning !!!!
P is defined by its symbolic expression.
Input :
sturmab([1,0,0,2,0,0],x,-2,0),
Output :
Bad argument type.