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gatePolynomial -- creates an input gate for a given polynomial

Synopsis

Description

This methods creates a Gate from the given input polynomial $f$. The resulting Gate is a SumGate whose terms are product gates corresponding to monomials of $f$.

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing
 
i2 : f = random(3, R)

     9 3   1 2    9   2   1 3
o2 = -x  + -x y + -x*y  + -y
     2     2      4       2

o2 : R
 
i3 : gatePolynomial f

       9                         1                             9                             1
o3 = ((- * ([x] * [x] * [x])) + (- * (([x] * [x]) * ([y]))) + (- * (([x]) * ([y] * [y]))) + (- * ([y] * [y] * [y])))
       2                         2                             4                             2

o3 : SumGate

See also

Ways to use gatePolynomial :

For the programmer

The object gatePolynomial is a method function.