Floor Have Teeth Radio Code

Is there a macro in latex to write ceil(x) and floor(x) in short form? The long form \\left \\lceil{x}\\right \\rceil is a bit lengthy to type every time it is used. Additionally, The PGFmath package includes a ceil and a floor function. Furthermore, When I write \\lfloor\\dfrac{1}{2}\\rfloor the floors come out too short to cover the fraction. Moreover, 4 I suspect that this question can be better articulated as: how can we compute the floor of a given number using real number field operations, rather than by exploiting the printed notation, …. These findings regarding Floor Have Teeth Radio Code provide comprehensive context for understanding this subject.