plumial.core.D._D.c

Calculate the ceiling of log_h(g).

This method computes ceil(log_h(g)) where log_h(g) is the logarithm of g with base h. The result represents an important mathematical bound related to the d-polynomial structure.

Return type:: Union[Expr, int, float, Rational]
Returns:: Ceiling value, either symbolic or evaluated based on the basis

Mathematical Formula:: c = ceil(log_h(g)) = ceil(log(g) / log(h))

Examples

>>> d = D(2, 5)
>>> d.c()  # Symbolic form
>>> collatz_d = D(2, 5).encode(B.Collatz)
>>> collatz_d.c()  # Numerical evaluation for g=3, h=2