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-- CXF2004.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 one operand is of an ordinary fixed point type.

--

--      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. An ordinary

--      fixed point type C is declared with a delta value different from

--      those of A and B (although still a power of 10). 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.

--      11 Aug 96   SAIC    ACVC 2.1: In RADIX_2_MULTIPLICATION, corrected

--                          value of Rate. Corrected associated commentary.

--

--!

generic

   type Decimal_Fixed  is delta <> digits <>;

   type Ordinary_Fixed is delta <>;

package CXF2004_0 is

   procedure Multiply_And_Truncate (Balance : in out Decimal_Fixed;

                                    Factor  : in     Ordinary_Fixed);

   procedure Divide_And_Truncate   (Balance : in out Decimal_Fixed;

                                    Divisor : in     Ordinary_Fixed);

   procedure Multiply_And_Round    (Balance : in out Decimal_Fixed;

                                    Factor  : in     Ordinary_Fixed);

   procedure Divide_And_Round      (Balance : in out Decimal_Fixed;

                                    Divisor : in     Ordinary_Fixed);

end CXF2004_0;

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

package body CXF2004_0 is

   procedure Multiply_And_Truncate (Balance : in out Decimal_Fixed;

                                    Factor  : in     Ordinary_Fixed) is

      Interest : Decimal_Fixed;

   begin

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

      Balance  := Balance + Interest;

   end Multiply_And_Truncate;

   procedure Divide_And_Truncate (Balance : in out Decimal_Fixed;

                                  Divisor : in     Ordinary_Fixed) is

      Interest : Decimal_Fixed;

   begin

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

      Balance  := Balance + Interest;

   end Divide_And_Truncate;

   procedure Multiply_And_Round (Balance : in out Decimal_Fixed;

                                 Factor  : in     Ordinary_Fixed) is

      Interest : Decimal_Fixed;

   begin

                                         -- Fixed-fixed multiplication.

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

      Balance  := Balance + Interest;

   end Multiply_And_Round;

   procedure Divide_And_Round (Balance : in out Decimal_Fixed;

                               Divisor : in     Ordinary_Fixed) is

      Interest : Decimal_Fixed;

   begin

                                         -- Fixed-fixed division.

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

      Balance  := Balance + Interest;

   end Divide_And_Round;

end CXF2004_0;

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

package CXF2004_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 0.001 range 0.0 .. 1_000.0;

   for Interest_Rate'Small use 0.001;            -- Power of 10.

end CXF2004_1;

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

with CXF2004_0;

with CXF2004_1;

with Report;

procedure CXF2004 is

   Loop_Count : constant := 180;

   type Loop_Range is range 1 .. Loop_Count;

   type Rounding_Scheme is ( Rounds, Truncates );

   Machine : Rounding_Scheme;

begin

   Report.Test ("CXF2004", "Check decimal multiplication and division, and " &

                           "'Round, where one operand type is ordinary fixed");

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

   if CXF2004_1.Interest_Rate'Machine_Rounds then  -- Determine machine's

      Machine := Rounds;                           -- rounding scheme.

   else

      Machine := Truncates;

   end if;

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

   RADIX_2_SUBTESTS:

   declare

      package Radix_2 is new CXF2004_0 (CXF2004_1.Money_Radix2,

                                        CXF2004_1.Interest_Rate);

      use type CXF2004_1.Money_Radix2;

      use type CXF2004_1.Interest_Rate;

   begin

      RADIX_2_MULTIPLICATION:

      declare

         Rate           : constant CXF2004_1.Interest_Rate := 0.154;

         Period         : constant Integer                 := 12;

         Factor         :          CXF2004_1.Interest_Rate := Rate / Period;

         -- The exact value of Factor is:

         --

         --    0.154/12 = 0.01283333...

         --

         -- The adjacent multiples of small are 0.012 and 0.013. Since

         -- Factor is of an ordinary fixed point type, it may contain either

         -- of these values. However, since "Rate / Period" is a static

         -- expression, the value Factor contains is determined by the

         -- value of CXF2004_1.Interest_Rate'Machine_Rounds:

         --

         --    If Machine_Rounds = FALSE : Factor = 0.012

         --    If Machine_Rounds = TRUE  : Factor = 0.013

         Initial                : constant CXF2004_1.Money_Radix2 :=  1_000.00;

         Trunc_Expected_MachTrnc: constant CXF2004_1.Money_Radix2 :=  8_557.07;

         Round_Expected_MachTrnc: constant CXF2004_1.Money_Radix2 :=  8_560.47;

         Trunc_Expected_MachRnds: constant CXF2004_1.Money_Radix2 := 10_222.65;

         Round_Expected_MachRnds: constant CXF2004_1.Money_Radix2 := 10_225.81;

         Balance                : CXF2004_1.Money_Radix2;

      begin

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Multiply_And_Truncate (Balance, Factor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Trunc_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 2 multiply and truncate");

               end if;

            when Truncates =>

               if Balance /= Trunc_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 2 multiply and truncate");

               end if;

         end case;

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Multiply_And_Round (Balance, Factor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Round_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 2 multiply and round");

               end if;

            when Truncates =>

               if Balance /= Round_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 2 multiply and round");

               end if;

         end case;

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

      end RADIX_2_MULTIPLICATION;

      RADIX_2_DIVISION:

      declare

         Rate           : constant CXF2004_1.Interest_Rate := 0.210;

         Period         : constant Integer                 := 12;

         Factor         : constant CXF2004_1.Interest_Rate := Rate / Period;

         Divisor        :          CXF2004_1.Interest_Rate := 1.0 / Factor;

         -- The exact value of Factor is:

         --

         --    0.210/12 = 0.0175

         --

         -- The adjacent multiples of small are 0.017 and 0.018. Since

         -- Factor is of an ordinary fixed point type, it may contain either

         -- of these values. However, since "Rate / Period" is a static

         -- expression, the value Factor contains is determined by the

         -- value of CXF2004_1.Interest_Rate'Machine_Rounds:

         --

         --    If Machine_Rounds = FALSE : Factor = 0.017

         --    If Machine_Rounds = TRUE  : Factor = 0.018

         --

         -- The exact value of Divisor is one of the following values:

         --

         --    1.0/0.017 = 58.82352... (Adjacent smalls 58.823 and 58.824)

         --    1.0/0.018 = 55.55555... (Adjacent smalls 55.555 and 55.556)

         --

         -- Again, since "1.0 / Factor" is static, the value Divisor contains

         -- is determined by the value of CXF2004_1.Interest_Rate'Rounds:

         --

         --    If Machine_Rounds = FALSE : Divisor = 58.823

         --    If Machine_Rounds = TRUE  : Divisor = 55.556

         Initial                : constant CXF2004_1.Money_Radix2 :=    260.13;

         Trunc_Expected_MachTrnc: constant CXF2004_1.Money_Radix2 :=  5_401.46;

         Round_Expected_MachTrnc: constant CXF2004_1.Money_Radix2 :=  5_406.95;

         Trunc_Expected_MachRnds: constant CXF2004_1.Money_Radix2 :=  6_446.56;

         Round_Expected_MachRnds: constant CXF2004_1.Money_Radix2 :=  6_453.78;

         Balance                : CXF2004_1.Money_Radix2;

      begin

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Divide_And_Truncate (Balance, Divisor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Trunc_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 2 divide and truncate");

               end if;

            when Truncates =>

               if Balance /= Trunc_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 2 divide and truncate");

               end if;

         end case;

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_2.Divide_And_Round (Balance, Divisor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Round_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 2 divide and round");

               end if;

            when Truncates =>

               if Balance /= Round_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 2 divide and round");

               end if;

         end case;

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

      end RADIX_2_DIVISION;

   end RADIX_2_SUBTESTS;

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

   RADIX_10_SUBTESTS:

   declare

      package Radix_10 is new CXF2004_0 (CXF2004_1.Money_Radix10,

                                         CXF2004_1.Interest_Rate);

      use type CXF2004_1.Money_Radix10;

      use type CXF2004_1.Interest_Rate;

   begin

      RADIX_10_MULTIPLICATION:

      declare

         Rate           : constant CXF2004_1.Interest_Rate := 0.095;

         Period         : constant Integer                 := 12;

         Factor         :          CXF2004_1.Interest_Rate := Rate / Period;

         -- The exact value of Factor is:

         --

         --    0.095/12 = 0.00791666...

         --

         -- The adjacent multiples of small are 0.007 and 0.008. Since

         -- Factor is of an ordinary fixed point type, it may contain either

         -- of these values. However, since "Rate / Period" is a static

         -- expression, the value Factor contains can be determined based

         -- on the value of CXF2004_1.Interest_Rate'Machine_Rounds:

         --

         --    If Machine_Rounds = FALSE : Factor = 0.007

         --    If Machine_Rounds = TRUE  : Factor = 0.008

         Initial                : constant CXF2004_1.Money_Radix10 := 2_125.00;

         Trunc_Expected_MachTrnc: constant CXF2004_1.Money_Radix10 := 7_456.90;

         Round_Expected_MachTrnc: constant CXF2004_1.Money_Radix10 := 7_458.77;

         Trunc_Expected_MachRnds: constant CXF2004_1.Money_Radix10 := 8_915.74;

         Round_Expected_MachRnds: constant CXF2004_1.Money_Radix10 := 8_917.84;

         Balance                : CXF2004_1.Money_Radix10;

      begin

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Multiply_And_Truncate (Balance, Factor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Trunc_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 10 multiply and truncate");

               end if;

            when Truncates =>

               if Balance /= Trunc_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 10 multiply and truncate");

               end if;

         end case;

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Multiply_And_Round (Balance, Factor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Round_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 10 multiply and round");

               end if;

            when Truncates =>

               if Balance /= Round_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 10 multiply and round");

               end if;

         end case;

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

      end RADIX_10_MULTIPLICATION;

      RADIX_10_DIVISION:

      declare

         Rate           : constant CXF2004_1.Interest_Rate := 0.295;

         Period         : constant Integer                 := 12;

         Factor         : constant CXF2004_1.Interest_Rate := Rate / Period;

         Divisor        :          CXF2004_1.Interest_Rate := 1.0 / Factor;

         -- The exact value of Factor is:

         --

         --    0.295/12 = 0.02458333...

         --

         -- The adjacent multiples of small are 0.024 and 0.025. Thus, the

         -- exact value of Divisor is one of the following:

         --

         --    1.0/0.024 = 41.66666... (Adjacent smalls 41.666 and 41.667)

         --    1.0/0.025 = 40.0

         --

         -- The value of CXF2004_1.Interest_Rate'Machine_Rounds determines

         -- what Divisor contains:

         --

         --    If Machine_Rounds = FALSE : Divisor = 41.666

         --    If Machine_Rounds = TRUE  : Divisor = 40.000

         Initial                : constant CXF2004_1.Money_Radix10 :=    72.19;

         Trunc_Expected_MachTrnc: constant CXF2004_1.Money_Radix10 := 5_144.60;

         Round_Expected_MachTrnc: constant CXF2004_1.Money_Radix10 := 5_157.80;

         Trunc_Expected_MachRnds: constant CXF2004_1.Money_Radix10 := 6_133.28;

         Round_Expected_MachRnds: constant CXF2004_1.Money_Radix10 := 6_149.06;

         Balance                : CXF2004_1.Money_Radix10;

      begin

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Divide_And_Truncate (Balance, Divisor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Trunc_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 10 divide and truncate");

               end if;

            when Truncates =>

               if Balance /= Trunc_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 10 divide and truncate");

               end if;

         end case;

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

         Balance := Initial;

         for I in Loop_Range loop

            Radix_10.Divide_And_Round (Balance, Divisor);

         end loop;

         case (Machine) is

            when Rounds    =>

               if Balance /= Round_Expected_MachRnds then

                  Report.Failed ("Error (R): Radix 10 divide and round");

               end if;

            when Truncates =>

               if Balance /= Round_Expected_MachTrnc then

                  Report.Failed ("Error (T): Radix 10 divide and round");

               end if;

         end case;

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

      end RADIX_10_DIVISION;

   end RADIX_10_SUBTESTS;

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

   Report.Result;

end CXF2004;