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-- CXF2003.A

--

--                             Grant of Unlimited Rights

--

--     Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,

--     F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained

--     unlimited rights in the software and documentation contained herein.

--     Unlimited rights are defined in DFAR 252.227-7013(a)(19).  By making

--     this public release, the Government intends to confer upon all

--     recipients unlimited rights  equal to those held by the Government.

--     These rights include rights to use, duplicate, release or disclose the

--     released technical data and computer software in whole or in part, in

--     any manner and for any purpose whatsoever, and to have or permit others

--     to do so.

--

--                                    DISCLAIMER

--

--     ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR

--     DISCLOSED ARE AS IS.  THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED

--     WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE

--     SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE

--     OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A

--     PARTICULAR PURPOSE OF SAID MATERIAL.

--*

--

-- OBJECTIVE:

--      Check that the multiplying operators for a decimal fixed point type

--      return values that are integral multiples of the small of the type.

--      Check the case where the two operands are of different decimal

--      fixed point types.

--

--      Check that if the mathematical result is between multiples of the

--      small of the result type, the result is truncated toward zero.

--      Check that if the attribute 'Round is applied to the mathematical

--      result, however, the result is rounded to the nearest multiple of

--      the small (away from zero if the result is midway between two

--      multiples of the small).

--

-- TEST DESCRIPTION:

--      Two decimal fixed point types A and B are declared, one with a

--      Machine_Radix value of 2, and one with a value of 10. A third decimal

--      fixed point type C is declared with digits and delta values different

--      from those of A and B. For type A (and B), checks are performed

--      on the following operations, where one operand type is C, and the

--      other operand type and the result type is A (or B):

--

--         - Multiplication.

--         - Multiplication, where the attribute 'Round is applied to the

--           result.

--         - Division.

--         - Division, where the attribute 'Round is applied to the result.

--

--      Each operation is performed within a loop, where one operand is

--      always the same variable. After the loop completes, the cumulative

--      total contained in this variable is compared with the expected

--      result.

--

-- APPLICABILITY CRITERIA:

--      This test is only applicable for a compiler attempting validation

--      for the Information Systems Annex.

--

--

-- CHANGE HISTORY:

--      22 Mar 96   SAIC    Prerelease version for ACVC 2.1.

--

--!

generic

   type Decimal_Fixed_1 is delta <> digits <>;

   type Decimal_Fixed_2 is delta <> digits <>;

package CXF2003_0 is

   procedure Multiply_And_Truncate (Balance : in out Decimal_Fixed_1;

                                    Factor  : in     Decimal_Fixed_2);

   procedure Divide_And_Truncate   (Balance : in out Decimal_Fixed_1;

                                    Divisor : in     Decimal_Fixed_2);

   procedure Multiply_And_Round    (Balance : in out Decimal_Fixed_1;

                                    Factor  : in     Decimal_Fixed_2);

   procedure Divide_And_Round      (Balance : in out Decimal_Fixed_1;

                                    Divisor : in     Decimal_Fixed_2);

end CXF2003_0;

     --==================================================================--

package body CXF2003_0 is

   procedure Multiply_And_Truncate (Balance : in out Decimal_Fixed_1;

                                    Factor  : in     Decimal_Fixed_2) is

      Interest : Decimal_Fixed_1;

   begin

      Interest := Factor * Balance;      -- Fixed-fixed multiplication.

      Balance  := Balance + Interest;

   end Multiply_And_Truncate;

   procedure Divide_And_Truncate (Balance : in out Decimal_Fixed_1;

                                  Divisor : in     Decimal_Fixed_2) is

      Interest : Decimal_Fixed_1;

   begin

      Interest := Balance / Divisor;     -- Fixed-fixed division.

      Balance  := Balance + Interest;

   end Divide_And_Truncate;

   procedure Multiply_And_Round (Balance : in out Decimal_Fixed_1;

                                 Factor  : in     Decimal_Fixed_2) is

      Interest : Decimal_Fixed_1;

   begin

                                         -- Fixed-fixed multiplication.

      Interest := Decimal_Fixed_1'Round ( Factor * Balance );

      Balance  := Balance + Interest;

   end Multiply_And_Round;

   procedure Divide_And_Round (Balance : in out Decimal_Fixed_1;

                               Divisor : in     Decimal_Fixed_2) is

      Interest : Decimal_Fixed_1;

   begin

                                         -- Fixed-fixed division.

      Interest := Decimal_Fixed_1'Round ( Balance / Divisor );

      Balance  := Balance + Interest;

   end Divide_And_Round;

end CXF2003_0;

     --==================================================================--

package CXF2003_1 is

   type Money_Radix2 is delta 0.01 digits 11;    -- range -999,999,999.99 ..

   for Money_Radix2'Machine_Radix use 2;         --       +999,999,999.99

   type Money_Radix10 is delta 0.01 digits 11;   -- range -999,999,999.99 ..

   for Money_Radix10'Machine_Radix use 10;       --       +999,999,999.99

   type Interest_Rate is delta 0.00001 digits 9; -- range -9999.99999 ..

                                                 --       +9999.99999

end CXF2003_1;

     --==================================================================--

with CXF2003_0;

with CXF2003_1;

with Report;

procedure CXF2003 is

   Loop_Count : constant := 1825;

   type Loop_Range is range 1 .. Loop_Count;

begin

   Report.Test ("CXF2003", "Check decimal multiplication and division, and " &

                           "'Round, where the operand types are different");

               ---=---=---=---=---=---=---=---=---=---=---

   RADIX_2_SUBTESTS:

   declare

      package Radix_2 is new CXF2003_0 (CXF2003_1.Money_Radix2,

                                        CXF2003_1.Interest_Rate);

      use type CXF2003_1.Money_Radix2;

      use type CXF2003_1.Interest_Rate;

   begin

      RADIX_2_MULTIPLICATION:

      declare

         Rate           : CXF2003_1.Interest_Rate := 0.198;

         Period         : Integer                 := 365;

         Factor         : CXF2003_1.Interest_Rate := Rate / Period;

         Initial        : constant CXF2003_1.Money_Radix2  := 1_000.00;

         Trunc_Expected : constant CXF2003_1.Money_Radix2  := 2_662.94;

         Round_Expected : constant CXF2003_1.Money_Radix2  := 2_678.34;

         Balance        : CXF2003_1.Money_Radix2;

      begin

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Multiply_And_Truncate (Balance, Factor);

         end loop;

         if Balance /= Trunc_Expected then

            Report.Failed ("Wrong result: Radix 2 multiply and truncate");

         end if;

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Multiply_And_Round (Balance, Factor);

         end loop;

         if Balance /= Round_Expected then

            Report.Failed ("Wrong result: Radix 2 multiply and round");

         end if;

                       ---=---=---=---=---=---=---

      end RADIX_2_MULTIPLICATION;

      RADIX_2_DIVISION:

      declare

         Rate           : CXF2003_1.Interest_Rate := 0.129;

         Period         : Integer                 := 365;

         Factor         : CXF2003_1.Interest_Rate := Rate / Period;

         Divisor        : CXF2003_1.Interest_Rate := 1.0 / Factor;

         Initial        : constant CXF2003_1.Money_Radix2  := 14_626.52;

         Trunc_Expected : constant CXF2003_1.Money_Radix2  := 27_688.26;

         Round_Expected : constant CXF2003_1.Money_Radix2  := 27_701.12;

         Balance        : CXF2003_1.Money_Radix2;

      begin

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Divide_And_Truncate (Balance, Divisor);

         end loop;

         if Balance /= Trunc_Expected then

            Report.Failed ("Wrong result: Radix 2 divide and truncate");

         end if;

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Divide_And_Round (Balance, Divisor);

         end loop;

         if Balance /= Round_Expected then

            Report.Failed ("Wrong result: Radix 2 divide and round");

         end if;

                       ---=---=---=---=---=---=---

      end RADIX_2_DIVISION;

   end RADIX_2_SUBTESTS;

               ---=---=---=---=---=---=---=---=---=---=---

   RADIX_10_SUBTESTS:

   declare

      package Radix_10 is new CXF2003_0 (CXF2003_1.Money_Radix10,

                                         CXF2003_1.Interest_Rate);

      use type CXF2003_1.Money_Radix10;

      use type CXF2003_1.Interest_Rate;

   begin

      RADIX_10_MULTIPLICATION:

      declare

         Rate           : CXF2003_1.Interest_Rate := 0.063;

         Period         : Integer                 := 365;

         Factor         : CXF2003_1.Interest_Rate := Rate / Period;

         Initial        : constant CXF2003_1.Money_Radix10 := 314_036.10;

         Trunc_Expected : constant CXF2003_1.Money_Radix10 := 428_249.48;

         Round_Expected : constant CXF2003_1.Money_Radix10 := 428_260.52;

         Balance        : CXF2003_1.Money_Radix10;

      begin

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Multiply_And_Truncate (Balance, Factor);

         end loop;

         if Balance /= Trunc_Expected then

            Report.Failed ("Wrong result: Radix 10 multiply and truncate");

         end if;

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Multiply_And_Round (Balance, Factor);

         end loop;

         if Balance /= Round_Expected then

            Report.Failed ("Wrong result: Radix 10 multiply and round");

         end if;

                       ---=---=---=---=---=---=---

      end RADIX_10_MULTIPLICATION;

      RADIX_10_DIVISION:

      declare

         Rate           : CXF2003_1.Interest_Rate := 0.273;

         Period         : Integer                 := 365;

         Factor         : CXF2003_1.Interest_Rate := Rate / Period;

         Divisor        : CXF2003_1.Interest_Rate := 1.0 / Factor;

         Initial        : constant CXF2003_1.Money_Radix10 := 25.72;

         Trunc_Expected : constant CXF2003_1.Money_Radix10 := 79.05;

         Round_Expected : constant CXF2003_1.Money_Radix10 := 97.46;

         Balance        : CXF2003_1.Money_Radix10;

      begin

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Divide_And_Truncate (Balance, Divisor);

         end loop;

         if Balance /= Trunc_Expected then

            Report.Failed ("Wrong result: Radix 10 divide and truncate");

         end if;

                       ---=---=---=---=---=---=---

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Divide_And_Round (Balance, Divisor);

         end loop;

         if Balance /= Round_Expected then

            Report.Failed ("Wrong result: Radix 10 divide and round");

         end if;

                       ---=---=---=---=---=---=---

      end RADIX_10_DIVISION;

   end RADIX_10_SUBTESTS;

               ---=---=---=---=---=---=---=---=---=---=---

   Report.Result;

end CXF2003;