Commit Graph

8 Commits

Author SHA1 Message Date
Glen Whitney f68c7bd1fb fix(Types): Move distinct types into distinct identifiers
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.
2022-07-25 11:56:12 -07:00
Glen Whitney 358f68fbbd feat(Types): Improve type spec and ignore signatures that use unknown type 2022-07-24 12:52:23 -07:00
Glen Whitney 9fb3aa2959 feat: Switch to function-based specification of dependencies
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/41525264

  Resolves #21.
2022-07-23 09:55:02 -07:00
Glen Whitney 0069597a76 fix: Separate typed instance for each PocomathInstance (#15)
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
2022-07-22 20:49:14 +00:00
Glen Whitney 84a8b9d5c4 feat: Allow self-reference in implementations (#4)
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
2022-07-19 18:54:22 +00:00
Glen Whitney b82336e590 feat: Add complex numbers
No negation (and therefore no subtraction) since that needs self-reference.
2022-07-19 09:52:16 -07:00
Glen Whitney b59a8c2ca9 feat: Allow nonrecursive whole-function dependencies (#2)
And implement negate on numbers, and use dependencies to define subtract.

Co-authored-by: Glen Whitney <glen@studioinfinity.org>
Reviewed-on: #2
2022-07-19 03:10:55 +00:00
Glen Whitney c5384e0ee7 feat: First operational instance with just add 2022-07-18 17:08:49 -07:00