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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;
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