-- CXG2023.A
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-- CXG2023.A
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--
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--
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-- Grant of Unlimited Rights
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-- Grant of Unlimited Rights
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--
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--
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-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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-- unlimited rights in the software and documentation contained herein.
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-- unlimited rights in the software and documentation contained herein.
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-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
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-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
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-- this public release, the Government intends to confer upon all
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-- this public release, the Government intends to confer upon all
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-- recipients unlimited rights equal to those held by the Government.
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-- recipients unlimited rights equal to those held by the Government.
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-- These rights include rights to use, duplicate, release or disclose the
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-- These rights include rights to use, duplicate, release or disclose the
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-- released technical data and computer software in whole or in part, in
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-- released technical data and computer software in whole or in part, in
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-- any manner and for any purpose whatsoever, and to have or permit others
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-- any manner and for any purpose whatsoever, and to have or permit others
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-- to do so.
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-- to do so.
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--
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--
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-- DISCLAIMER
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-- DISCLAIMER
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--
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--
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-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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-- PARTICULAR PURPOSE OF SAID MATERIAL.
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-- PARTICULAR PURPOSE OF SAID MATERIAL.
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--*
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--*
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--
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--
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-- OBJECTIVE:
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-- OBJECTIVE:
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-- Check that multiplication and division of decimal fixed point
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-- Check that multiplication and division of decimal fixed point
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-- numbers produce exact results.
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-- numbers produce exact results.
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--
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--
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-- TEST DESCRIPTION:
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-- TEST DESCRIPTION:
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-- Check that multiplication and division of decimal fixed point
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-- Check that multiplication and division of decimal fixed point
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-- numbers produce exact results.
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-- numbers produce exact results.
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--
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--
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-- SPECIAL REQUIREMENTS
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-- SPECIAL REQUIREMENTS
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-- The Strict Mode for the numerical accuracy must be
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-- The Strict Mode for the numerical accuracy must be
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-- selected. The method by which this mode is selected
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-- selected. The method by which this mode is selected
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-- is implementation dependent.
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-- is implementation dependent.
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--
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--
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-- APPLICABILITY CRITERIA:
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-- APPLICABILITY CRITERIA:
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-- This test applies only to implementations supporting the
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-- This test applies only to implementations supporting the
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-- Numerics Annex.
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-- Numerics Annex.
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-- This test only applies to the Strict Mode for numerical
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-- This test only applies to the Strict Mode for numerical
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-- accuracy.
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-- accuracy.
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-- This test applies only to implementations supporting
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-- This test applies only to implementations supporting
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-- decimal fixed point types of at least 9 digits.
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-- decimal fixed point types of at least 9 digits.
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--
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--
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--
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--
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-- CHANGE HISTORY:
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-- CHANGE HISTORY:
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-- 3 Apr 96 SAIC Initial release for 2.1
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-- 3 Apr 96 SAIC Initial release for 2.1
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--
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--
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--!
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--!
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with System;
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with System;
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with Report;
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with Report;
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procedure CXG2023 is
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procedure CXG2023 is
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Verbose : constant Boolean := False;
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Verbose : constant Boolean := False;
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|
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procedure Check_1 is
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procedure Check_1 is
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Num_Digits : constant := 6;
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Num_Digits : constant := 6;
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type Pennies is delta 0.01 digits Num_Digits;
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type Pennies is delta 0.01 digits Num_Digits;
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type Franklins is delta 100.0 digits Num_Digits;
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type Franklins is delta 100.0 digits Num_Digits;
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type Dollars is delta 1.0 digits Num_Digits;
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type Dollars is delta 1.0 digits Num_Digits;
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P1 : Pennies;
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P1 : Pennies;
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F1 : Franklins;
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F1 : Franklins;
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D1 : Dollars;
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D1 : Dollars;
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-- optimization thwarting functions
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-- optimization thwarting functions
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|
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function P (X : Pennies) return Pennies is
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function P (X : Pennies) return Pennies is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 3.21; -- never executed
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return 3.21; -- never executed
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end if;
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end if;
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end P;
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end P;
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function F (X : Franklins) return Franklins is
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function F (X : Franklins) return Franklins is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 32100.0; -- never executed
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return 32100.0; -- never executed
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end if;
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end if;
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end F;
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end F;
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function D (X : Dollars) return Dollars is
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function D (X : Dollars) return Dollars is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 321.0; -- never executed
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return 321.0; -- never executed
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end if;
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end if;
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end D;
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end D;
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begin
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begin
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-- multiplication where one operand is universal real
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-- multiplication where one operand is universal real
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P1 := P(0.05) * 200.0;
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P1 := P(0.05) * 200.0;
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if P1 /= 10.00 then
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if P1 /= 10.00 then
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Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
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Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
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end if;
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end if;
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D1 := P(0.05) * 100.0;
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D1 := P(0.05) * 100.0;
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if D1 /= 5.00 then
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if D1 /= 5.00 then
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Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
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Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
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end if;
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end if;
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F1 := P(0.05) * 50_000.0;
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F1 := P(0.05) * 50_000.0;
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if F1 /= 2500.00 then
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if F1 /= 2500.00 then
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Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
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Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
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end if;
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end if;
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-- multiplication where both operands are decimal fixed
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-- multiplication where both operands are decimal fixed
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P1 := P(0.05) * D(-200.0);
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P1 := P(0.05) * D(-200.0);
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if P1 /= -10.00 then
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if P1 /= -10.00 then
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Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
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Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
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end if;
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end if;
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D1 := P(0.05) * P(-100.0);
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D1 := P(0.05) * P(-100.0);
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if D1 /= -5.00 then
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if D1 /= -5.00 then
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Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
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Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
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end if;
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end if;
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F1 := P(-0.05) * F(50_000.0);
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F1 := P(-0.05) * F(50_000.0);
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if F1 /= -2500.00 then
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if F1 /= -2500.00 then
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Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
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Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
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end if;
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end if;
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-- division where one operand is universal real
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-- division where one operand is universal real
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P1 := P(0.05) / 0.001;
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P1 := P(0.05) / 0.001;
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if P1 /= 50.00 then
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if P1 /= 50.00 then
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Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
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Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
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end if;
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end if;
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D1 := D(1000.0) / 3.0;
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D1 := D(1000.0) / 3.0;
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if D1 /= 333.00 then
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if D1 /= 333.00 then
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Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
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Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
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end if;
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end if;
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F1 := P(1234.56) / 0.0001;
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F1 := P(1234.56) / 0.0001;
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if F1 /= 12345600.00 then
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if F1 /= 12345600.00 then
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Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
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Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
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end if;
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end if;
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-- division where both operands are decimal fixed
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-- division where both operands are decimal fixed
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P1 := P(0.05) / D(1.0);
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P1 := P(0.05) / D(1.0);
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if P1 /= 0.05 then
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if P1 /= 0.05 then
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Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
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Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
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end if;
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end if;
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-- check for truncation toward 0
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-- check for truncation toward 0
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D1 := P(-101.00) / P(2.0);
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D1 := P(-101.00) / P(2.0);
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if D1 /= -50.00 then
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if D1 /= -50.00 then
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Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
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Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
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end if;
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end if;
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P1 := P(-102.03) / P(-0.5);
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P1 := P(-102.03) / P(-0.5);
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if P1 /= 204.06 then
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if P1 /= 204.06 then
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Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
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Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
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end if;
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end if;
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F1 := P(876.54) / P(0.03);
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F1 := P(876.54) / P(0.03);
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if F1 /= 29200.00 then
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if F1 /= 29200.00 then
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Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
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Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
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end if;
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end if;
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exception
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exception
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when others =>
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when others =>
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Report.Failed ("unexpected exception in Check_1");
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Report.Failed ("unexpected exception in Check_1");
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end Check_1;
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end Check_1;
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generic
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generic
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type Pennies is delta<> digits<>;
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type Pennies is delta<> digits<>;
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type Dollars is delta<> digits<>;
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type Dollars is delta<> digits<>;
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type Franklins is delta<> digits<>;
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type Franklins is delta<> digits<>;
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procedure Generic_Check;
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procedure Generic_Check;
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procedure Generic_Check is
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procedure Generic_Check is
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-- the following code is copied directly from the
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-- the following code is copied directly from the
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-- above procedure Check_1
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-- above procedure Check_1
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P1 : Pennies;
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P1 : Pennies;
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F1 : Franklins;
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F1 : Franklins;
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D1 : Dollars;
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D1 : Dollars;
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|
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-- optimization thwarting functions
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-- optimization thwarting functions
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|
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function P (X : Pennies) return Pennies is
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function P (X : Pennies) return Pennies is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 3.21; -- never executed
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return 3.21; -- never executed
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end if;
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end if;
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end P;
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end P;
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|
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|
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function F (X : Franklins) return Franklins is
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function F (X : Franklins) return Franklins is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 32100.0; -- never executed
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return 32100.0; -- never executed
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end if;
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end if;
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end F;
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end F;
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|
|
|
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function D (X : Dollars) return Dollars is
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function D (X : Dollars) return Dollars is
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begin
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begin
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if Report.Ident_Bool (True) then
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if Report.Ident_Bool (True) then
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return X;
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return X;
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else
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else
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return 321.0; -- never executed
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return 321.0; -- never executed
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end if;
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end if;
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end D;
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end D;
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|
|
|
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begin
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begin
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-- multiplication where one operand is universal real
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-- multiplication where one operand is universal real
|
|
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P1 := P(0.05) * 200.0;
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P1 := P(0.05) * 200.0;
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if P1 /= 10.00 then
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if P1 /= 10.00 then
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Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
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Report.Failed ("1 - expected 10.00 got " & Pennies'Image (P1));
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end if;
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end if;
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|
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D1 := P(0.05) * 100.0;
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D1 := P(0.05) * 100.0;
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if D1 /= 5.00 then
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if D1 /= 5.00 then
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Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
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Report.Failed ("2 - expected 5.00 got " & Dollars'Image (D1));
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end if;
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end if;
|
|
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F1 := P(0.05) * 50_000.0;
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F1 := P(0.05) * 50_000.0;
|
if F1 /= 2500.00 then
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if F1 /= 2500.00 then
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Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
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Report.Failed ("3 - expected 2500.0 got " & Franklins'Image (F1));
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end if;
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end if;
|
|
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-- multiplication where both operands are decimal fixed
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-- multiplication where both operands are decimal fixed
|
|
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P1 := P(0.05) * D(-200.0);
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P1 := P(0.05) * D(-200.0);
|
if P1 /= -10.00 then
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if P1 /= -10.00 then
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Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
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Report.Failed ("4 - expected -10.00 got " & Pennies'Image (P1));
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end if;
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end if;
|
|
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D1 := P(0.05) * P(-100.0);
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D1 := P(0.05) * P(-100.0);
|
if D1 /= -5.00 then
|
if D1 /= -5.00 then
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Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
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Report.Failed ("5 - expected -5.00 got " & Dollars'Image (D1));
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end if;
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end if;
|
|
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F1 := P(-0.05) * F(50_000.0);
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F1 := P(-0.05) * F(50_000.0);
|
if F1 /= -2500.00 then
|
if F1 /= -2500.00 then
|
Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
|
Report.Failed ("6 - expected -2500.0 got " & Franklins'Image (F1));
|
end if;
|
end if;
|
|
|
-- division where one operand is universal real
|
-- division where one operand is universal real
|
|
|
P1 := P(0.05) / 0.001;
|
P1 := P(0.05) / 0.001;
|
if P1 /= 50.00 then
|
if P1 /= 50.00 then
|
Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
|
Report.Failed ("7 - expected 50.00 got " & Pennies'Image (P1));
|
end if;
|
end if;
|
|
|
D1 := D(1000.0) / 3.0;
|
D1 := D(1000.0) / 3.0;
|
if D1 /= 333.00 then
|
if D1 /= 333.00 then
|
Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
|
Report.Failed ("8 - expected 333.00 got " & Dollars'Image (D1));
|
end if;
|
end if;
|
|
|
F1 := P(1234.56) / 0.0001;
|
F1 := P(1234.56) / 0.0001;
|
if F1 /= 12345600.00 then
|
if F1 /= 12345600.00 then
|
Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
|
Report.Failed ("9 - expected 12345600.0 got " & Franklins'Image (F1));
|
end if;
|
end if;
|
|
|
|
|
-- division where both operands are decimal fixed
|
-- division where both operands are decimal fixed
|
|
|
P1 := P(0.05) / D(1.0);
|
P1 := P(0.05) / D(1.0);
|
if P1 /= 0.05 then
|
if P1 /= 0.05 then
|
Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
|
Report.Failed ("10 - expected 0.05 got " & Pennies'Image (P1));
|
end if;
|
end if;
|
|
|
-- check for truncation toward 0
|
-- check for truncation toward 0
|
D1 := P(-101.00) / P(2.0);
|
D1 := P(-101.00) / P(2.0);
|
if D1 /= -50.00 then
|
if D1 /= -50.00 then
|
Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
|
Report.Failed ("11 - expected -50.00 got " & Dollars'Image (D1));
|
end if;
|
end if;
|
|
|
P1 := P(-102.03) / P(-0.5);
|
P1 := P(-102.03) / P(-0.5);
|
if P1 /= 204.06 then
|
if P1 /= 204.06 then
|
Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
|
Report.Failed ("12 - expected 204.06 got " & Pennies'Image (P1));
|
end if;
|
end if;
|
|
|
F1 := P(876.54) / P(0.03);
|
F1 := P(876.54) / P(0.03);
|
if F1 /= 29200.00 then
|
if F1 /= 29200.00 then
|
Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
|
Report.Failed ("13 - expected 29200.0 got " & Franklins'Image (F1));
|
end if;
|
end if;
|
|
|
end Generic_Check;
|
end Generic_Check;
|
|
|
|
|
procedure Check_G6 is
|
procedure Check_G6 is
|
Num_Digits : constant := 6;
|
Num_Digits : constant := 6;
|
type Pennies is delta 0.01 digits Num_Digits;
|
type Pennies is delta 0.01 digits Num_Digits;
|
type Franklins is delta 100.0 digits Num_Digits;
|
type Franklins is delta 100.0 digits Num_Digits;
|
type Dollars is delta 1.0 digits Num_Digits;
|
type Dollars is delta 1.0 digits Num_Digits;
|
|
|
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
|
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
|
begin
|
begin
|
G;
|
G;
|
end Check_G6;
|
end Check_G6;
|
|
|
|
|
procedure Check_G9 is
|
procedure Check_G9 is
|
Num_Digits : constant := 9;
|
Num_Digits : constant := 9;
|
type Pennies is delta 0.01 digits Num_Digits;
|
type Pennies is delta 0.01 digits Num_Digits;
|
type Franklins is delta 100.0 digits Num_Digits;
|
type Franklins is delta 100.0 digits Num_Digits;
|
type Dollars is delta 1.0 digits Num_Digits;
|
type Dollars is delta 1.0 digits Num_Digits;
|
|
|
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
|
procedure G is new Generic_Check (Pennies, Dollars, Franklins);
|
begin
|
begin
|
G;
|
G;
|
end Check_G9;
|
end Check_G9;
|
|
|
|
|
begin -- main
|
begin -- main
|
Report.Test ("CXG2023",
|
Report.Test ("CXG2023",
|
"Check the accuracy of multiplication and division" &
|
"Check the accuracy of multiplication and division" &
|
" of decimal fixed point numbers");
|
" of decimal fixed point numbers");
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("starting Check_1");
|
Report.Comment ("starting Check_1");
|
end if;
|
end if;
|
Check_1;
|
Check_1;
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("starting Check_G6");
|
Report.Comment ("starting Check_G6");
|
end if;
|
end if;
|
Check_G6;
|
Check_G6;
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("starting Check_G9");
|
Report.Comment ("starting Check_G9");
|
end if;
|
end if;
|
Check_G9;
|
Check_G9;
|
|
|
Report.Result;
|
Report.Result;
|
end CXG2023;
|
end CXG2023;
|
|
|
