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SLPexpressions :: differentiating circuits

differentiating circuits

The output of these commands is generally a circuit for evaluating the derivative of the second argument with respect to the first.

i1 : declareVariable X; declareVariable Y;
i3 : F = Y^2-X^3-X

o3 = (((Y * Y) + (-1 * (X * X * X))) + (-1 * X))

o3 : SumGate
i4 : diff(X,F)

o4 = (((0 + 0) + (0 + ((-1) * ((X * X) + (X * X) + (X * X))))) + (0 + (-1)))

o4 : SumGate
i5 : J = diff(gateMatrix{{X,Y}},gateMatrix{{F}})

o5 = {{(((0 + 0) + (0 + ((-1) * ((X * X) + (X * X) + (X * X))))) + (0 +
     ------------------------------------------------------------------------
     (-1))), ((((Y) + (Y)) + (0 + ((-1) * (0 + 0 + 0)))) + (0 + 0))}}

o5 : GateMatrix
i6 : (numrows J, numcols J)

o6 = (1, 2)

o6 : Sequence

See also