Integer functions
Adds support (freezing, typing, printing) for the following integer functions from sympyextensions.integer_functions
:
- bit_shift_left
- bit_shift_right
- bitwise_and
- bitwise_or
- bitwise_xor
- int_div
- int_power_of_2
- modulo_floor
The following are left for future work because they can be conveniently implemented with an if
expression (the ternary if operator ?:
in C) which is currently not available.
- modulo_ceil
- div_ceil
div_floor
is also not implemented because to me the semantics of this function are unclear.
Is it supposed to compute \lfloor \frac ab \rfloor
(as the name suggests) or the C-like round-to-zero integer division (as the documentation suggests)?
The typifier tries to infer the integer type of the arguments/result and always raises if the type is non-integer.
Note that this can lead to cases in which an exception is raised because the inference fails.
For example int_div(2, 3)
where both arguments are untyped constants.
This could be improved in the typifier, e.g. by adding type constraints to deferred constants (also left for future work).