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-- Programmed by Jedidiah Barber
-- Licensed under the Sunset License v1.0
-- See license.txt for further details
generic
Zero_Element, One_Element : in Element_Type;
package Kompsos.Arithmetic is
---------------
-- Numbers --
---------------
-- Valid number Terms are little endian binary lists
-- representing non-negative integers.
-- The last digit in a non-empty list must always be
-- the One_Element.
-- 0 -> ()
-- 1 -> (1)
-- 2 -> (0 1)
-- 3 -> (1 1)
-- 4 -> (0 0 1)
-- 5 -> (1 0 1)
-- 6 -> (0 1 1)
-- 7 -> (1 1 1)
-- 8 -> (0 0 0 1)
-- ...and so forth.
Zero_Term, One_Term : constant Term;
function Is_Number
(Item : in Term)
return Boolean;
function Build
(Value : in Natural)
return Term;
function Value
(Item : in Term)
return Natural
with Pre => Is_Number (Item);
------------------
-- Operations --
------------------
-- full-addero --
-- Note the inputs here are all just the raw Zero_Element and One_Element,
-- not the proper numbers constructed by Build.
-- Inputs = Cin_Term & A_Term & B_Term & Sum_Term & Cout_Term
function Full_Adder
(This : in Goal;
Inputs : in Term_Array)
return Goal
with Pre => Inputs'Length = 5;
-- Inputs = Cin_Term & A_Term & B_Term & Sum_Term & Cout_Term
procedure Full_Adder
(This : in out Goal;
Inputs : in Term_Array)
with Pre => Inputs'Length = 5;
-- poso --
function GT_Zero
(This : in Goal;
Num_Term : in Term'Class)
return Goal;
procedure GT_Zero
(This : in out Goal;
Num_Term : in Term'Class);
-- >1o --
function GT_One
(This : in Goal;
Num_Term : in Term'Class)
return Goal;
procedure GT_One
(This : in out Goal;
Num_Term : in Term'Class);
-- +o --
-- Inputs = N_Term & M_Term & Result_Term
function Add
(This : in Goal;
Inputs : in Term_Array)
return Goal
with Pre => Inputs'Length = 3;
-- Inputs = N_Term & M_Term & Result_Term
procedure Add
(This : in out Goal;
Inputs : in Term_Array)
with Pre => Inputs'Length = 3;
-- -o --
-- Inputs = N_Term & M_Term & Result_Term
function Subtract
(This : in Goal;
Inputs : in Term_Array)
return Goal
with Pre => Inputs'Length = 3;
-- Inputs = N_Term & M_Term & Result_Term
procedure Subtract
(This : in out Goal;
Inputs : in Term_Array)
with Pre => Inputs'Length = 3;
private
Zero_Term : constant Term := Build (0);
One_Term : constant Term := Build (1);
-- addero --
-- The carry-in input is a raw Zero_Element or One_Element.
-- Inputs = Cin_Term & N_Term & M_Term & Result_Term
function Adder
(This : in Goal;
Inputs : in Term_Array)
return Goal
with Pre => Inputs'Length = 4;
-- Inputs = Cin_Term & N_Term & M_Term & Result_Term
procedure Adder
(This : in out Goal;
Inputs : in Term_Array)
with Pre => Inputs'Length = 4;
-- This is needed for dumb reasons.
Adder_Access : constant access function
(This : in Goal;
Inputs : in Term_Array)
return Goal := Adder'Access;
-- gen-addero --
-- The carry-in input is a raw Zero_Element or One_Element.
-- Inputs = Cin_Term & N_Term & M_Term & Result_Term
function General_Adder
(This : in Goal;
Inputs : in Term_Array)
return Goal
with Pre => Inputs'Length = 4;
-- Inputs = Cin_Term & N_Term & M_Term & Result_Term
procedure General_Adder
(This : in out Goal;
Inputs : in Term_Array)
with Pre => Inputs'Length = 4;
-- This is needed for dumb reasons.
General_Adder_Access : constant access function
(This : in Goal;
Inputs : in Term_Array)
return Goal := General_Adder'Access;
end Kompsos.Arithmetic;
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