Merging of Pocomath modules is eased by allowing one PocomathInstance to
be merged into another. That allows types, for example, to be exported
as a PocomathInstance (so there is no need for a special identifier
convention for types; they can be directly added with an installType
method). Also, larger modules can just be exported as an instance, since
there is more flexibility and more checking in merging PocomathInstances
than raw modules.
This allows types to be collected; prior to this commit they
were conflicting from different modules.
Uses this fix to extend sqrt to bigint, with the convention
that it is undefined for non-perfect squares when 'predictable'
is false and is the "best" approximation to the square root when
'predictable' is true. Furthermore, for negative bigints, you might
get a Gaussian integer when predictable is false; or you will just get
your argument back when 'predictable' is true because what other
bigint could you give back for a negative bigint?
Also had to modify tests on the sign in sqrt(Complex) and add functions
'zero' and 'one' to get types to match, as expected in #27.
Adds numerous tests.
Resolves#26.
Resolves#27.
Allows dependencies to be economically expressed and used.
For example, see the new definition of subtract.
Credit for the basic idea goes to James Drew, see
https://stackoverflow.com/a/41525264Resolves#21.
Also starts each PocomathInstance with no types at all, and uses the new
situation to eliminate the need for a Complex "base case".
Resolves#14.
Resolves#13.
Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Reviewed-on: #15
This PR also uses such self-reference to define negate and add
for Complex numbers in a way that is independent of component types.
Also adds a bigint type and verifies that pocomath will then handle
Gaussian integers "for free".
Ensures that if one function is invalidated, then any that depend on it will be.
Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Reviewed-on: #4
