I noticed that in the sage library (for instance in matrix_rational_dense)
the following use of "verbose" is around a lot:
t = verbose('Computing echelon form of %s x %s matrix over QQ using
p-adic nullspace algorithm.'%(
self.nrows(), self.ncols()))
Observe that:
- The routine "verbose" itself is written in python, so there is some
overhead concerned in calling it, even if the verbose level is so low that
nothing gets printed.
- the string formatting is done before "verbose" is even called, so it
always happens.
I didn't devise a test to see what the penalty is, but it's quite
conceivably measurable. Shouldn't we provide a convenient system to do the
expensive processing only when the verbose message is actually required?
Perhaps some cython inline function or macro to put the appropriate
conditional around the call?
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