File: rtest_polynomialp.mac

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polynomialp(1,[x])$
true$

polynomialp(%pi,[x])$
true$

polynomialp(sqrt(23),[x])$
true$

polynomialp(1+x,[x])$
true$

polynomialp(1 + x * (sqrt(5) + x),[x])$
true$

polynomialp(1 + x * (sqrt(5) + x),[y])$
false$

polynomialp(1 + x * (sqrt(5) + y),[x,y])$
true$

polynomialp(1 + sqrt(x),[x], 'numberp, 'numberp);
true$

polynomialp(1 + sqrt(1 + sqrt(x)),[x], 'numberp, 'numberp);
true$

polynomialp(1 + sqrt(x + sqrt(1 + x*y)),[x,y], 'numberp, 'numberp);
true$

polynomialp(cos(x),[x]);
false$

polynomialp(cos(x),[x], 'numberp, 'numberp);
false$

polynomialp([x],[x], 'numberp, 'numberp);
false$

polynomialp((1+x)^a,[x], 'constantp, lambda([e],freeof(x,e)));
true$

polynomialp((1+x)^a,[x], 'constantp);
false$