| -- CXG2022.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 multiplication and division of binary fixed point |
| -- numbers with compatible 'small values produce exact results. |
| -- |
| -- TEST DESCRIPTION: |
| -- Signed, unsigned, and a mixture of signed and unsigned |
| -- binary fixed point values are multiplied and divided. |
| -- The result is checked against the expected "perfect result set" |
| -- |
| -- SPECIAL REQUIREMENTS |
| -- The Strict Mode for the numerical accuracy must be |
| -- selected. The method by which this mode is selected |
| -- is implementation dependent. |
| -- |
| -- APPLICABILITY CRITERIA: |
| -- This test applies only to implementations supporting the |
| -- Numerics Annex. |
| -- This test only applies to the Strict Mode for numerical |
| -- accuracy. |
| -- |
| -- |
| -- CHANGE HISTORY: |
| -- 1 Apr 96 SAIC Initial release for 2.1 |
| -- 29 Jan 1998 EDS Repaired fixed point errors ("**" and |
| -- assumptions about 'Small) |
| --! |
| |
| with System; |
| with Report; |
| procedure CXG2022 is |
| Verbose : constant Boolean := False; |
| |
| procedure Check_Signed is |
| type Pairs is delta 2.0 range -2.0 ** (System.Max_Mantissa) .. |
| 2.0 ** (System.Max_Mantissa) - 1.0; |
| type Halves is delta 0.5 range -2.0 ** (System.Max_Mantissa-2) .. |
| 2.0 ** (System.Max_Mantissa-2) - 1.0; |
| P1, P2, P3, P4 : Pairs; |
| H1, H2, H3, H4 : Halves; |
| |
| procedure Dont_Opt is |
| -- keep optimizer from knowing the constant value of expressions |
| begin |
| if Report.Ident_Bool (False) then |
| P1 := 2.0; P2 := 4.0; P3 := 6.0; |
| H1 := -2.0; H2 := 9.0; H3 := 3.0; |
| end if; |
| end Dont_Opt; |
| |
| begin |
| H1 := -0.5; |
| H2 := Halves'First; |
| H3 := 1.0; |
| P1 := 12.0; |
| P2 := Pairs'First; |
| P3 := Pairs'Last; |
| Dont_Opt; |
| |
| P4 := Pairs (P1 * H1); -- 12.0 * -0.5 |
| if P4 /= -6.0 then |
| Report.Failed ("12.0 * -0.5 = " & Pairs'Image (P4)); |
| end if; |
| |
| H4 := Halves (P1 / H1); -- 12.0 / -0.5 |
| if H4 /= -24.0 then |
| Report.Failed ("12.0 / -0.5 = " & Halves'Image (H4)); |
| end if; |
| |
| P4 := P3 * H3; -- Pairs'Last * 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last * 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P3 / H3; -- Pairs'Last / 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last / 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P2 * 0.25; -- Pairs'First * 0.25 |
| if P4 /= Pairs (-2.0 ** (System.Max_Mantissa - 2)) then |
| Report.Failed ("Pairs'First * 0.25 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := 100.5 / H1; -- 100.5 / -0.5 |
| if P4 = -201.0 then |
| null; -- Perfect result |
| elsif Pairs'Small = 2.0 and ( P4 = -200.0 or P4 = -202.0 ) then |
| null; -- Allowed variation |
| else |
| Report.Failed ("Pairs'Small =" & Pairs'Image (Pairs'Small) & |
| " and 100.5/-0.5 = " & Pairs'Image (P4) ); |
| end if; |
| |
| H4 := H1 * H2; -- -0.5 * Halves'First |
| if H4 /= Halves (2.0 ** (System.Max_Mantissa-3)) then |
| Report.Failed ("-0.5 * Halves'First =" & Halves'Image (H4) & |
| " instead of " & |
| Halves'Image( Halves(2.0 ** (System.Max_Mantissa-3)))); |
| end if; |
| |
| exception |
| when others => |
| Report.Failed ("unexpected exception in Check_Signed"); |
| end Check_Signed; |
| |
| |
| |
| procedure Check_Unsigned is |
| type Pairs is delta 2.0 range 0.0 .. 2.0 ** (System.Max_Mantissa+1) - 1.0; |
| type Halves is delta 0.5 range 0.0 .. 2.0 ** (System.Max_Mantissa-1) - 1.0; |
| P1, P2, P3, P4 : Pairs; |
| H1, H2, H3, H4 : Halves; |
| |
| procedure Dont_Opt is |
| -- keep optimizer from knowing the constant value of expressions |
| begin |
| if Report.Ident_Bool (False) then |
| P1 := 2.0; P2 := 4.0; P3 := 6.0; |
| H1 := 2.0; H2 := 9.0; H3 := 3.0; |
| end if; |
| end Dont_Opt; |
| |
| begin |
| H1 := 10.5; |
| H2 := Halves(2.0 ** (System.Max_Mantissa - 6)); |
| H3 := 1.0; |
| P1 := 12.0; |
| P2 := Pairs'Last / 2; |
| P3 := Pairs'Last; |
| Dont_Opt; |
| |
| P4 := Pairs (P1 * H1); -- 12.0 * 10.5 |
| if P4 /= 126.0 then |
| Report.Failed ("12.0 * 10.5 = " & Pairs'Image (P4)); |
| end if; |
| |
| H4 := Halves (P1 / H1); -- 12.0 / 10.5 |
| if H4 /= 1.0 and H4 /= 1.5 then |
| Report.Failed ("12.0 / 10.5 = " & Halves'Image (H4)); |
| end if; |
| |
| P4 := P3 * H3; -- Pairs'Last * 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last * 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P3 / H3; -- Pairs'Last / 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last / 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P1 * 0.25; -- 12.0 * 0.25 |
| if P4 /= 2.0 and P4 /= 4.0 then |
| Report.Failed ("12.0 * 0.25 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := 100.5 / H1; -- 100.5 / 10.5 = 9.571... |
| if P4 /= 8.0 and P4 /= 10.0 then |
| Report.Failed ("100.5/10.5 = " & Pairs'Image (P4)); |
| end if; |
| |
| H4 := H2 * 2; -- 2**(max_mantissa-6) * 2 |
| if H4 /= Halves(2.0 ** (System.Max_Mantissa-5)) then |
| Report.Failed ("2**(System.Max_Mantissa-6) * 2=" & Halves'Image (H4) & |
| " instead of " & |
| Halves'Image( Halves(2.0 ** (System.Max_Mantissa-5)))); |
| end if; |
| |
| exception |
| when others => |
| Report.Failed ("unexpected exception in Check_Unsigned"); |
| end Check_Unsigned; |
| |
| |
| |
| procedure Check_Mixed is |
| type Pairs is delta 2.0 range -2.0 ** (System.Max_Mantissa) .. |
| 2.0 ** (System.Max_Mantissa) - 1.0; |
| type Halves is delta 0.5 range 0.0 .. 2.0 ** (System.Max_Mantissa-1) - 1.0; |
| P1, P2, P3, P4 : Pairs; |
| H1, H2, H3, H4 : Halves; |
| |
| procedure Dont_Opt is |
| -- keep optimizer from knowing the constant value of expressions |
| begin |
| if Report.Ident_Bool (False) then |
| P1 := 2.0; P2 := 4.0; P3 := 6.0; |
| H1 := 2.0; H2 := 9.0; H3 := 3.0; |
| end if; |
| end Dont_Opt; |
| |
| begin |
| H1 := 10.5; |
| H2 := Halves(2.0 ** (System.Max_Mantissa - 6)); |
| H3 := 1.0; |
| P1 := 12.0; |
| P2 := -4.0; |
| P3 := Pairs'Last; |
| Dont_Opt; |
| |
| P4 := Pairs (P1 * H1); -- 12.0 * 10.5 |
| if P4 /= 126.0 then |
| Report.Failed ("12.0 * 10.5 = " & Pairs'Image (P4)); |
| end if; |
| |
| H4 := Halves (P1 / H1); -- 12.0 / 10.5 |
| if H4 /= 1.0 and H4 /= 1.5 then |
| Report.Failed ("12.0 / 10.5 = " & Halves'Image (H4)); |
| end if; |
| |
| P4 := P3 * H3; -- Pairs'Last * 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last * 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P3 / H3; -- Pairs'Last / 1.0 |
| if P4 /= Pairs'Last then |
| Report.Failed ("Pairs'Last / 1.0 = " & Pairs'Image (P4)); |
| end if; |
| |
| P4 := P1 * 0.25; -- 12.0 * 0.25 |
| if P4 = 3.0 then |
| null; -- Perfect result |
| elsif Pairs'Small = 2.0 and then ( P4 = 2.0 or P4 = 4.0 ) then |
| null; -- Allowed deviation |
| else |
| Report.Failed ("Pairs'Small =" & Pairs'Image (Pairs'Small) & |
| "and 12.0 * 0.25 = " & Pairs'Image (P4) ); |
| end if; |
| |
| P4 := 100.5 / H1; -- 100.5 / 10.5 = 9.571... |
| if P4 = 9.0 then |
| null; -- Perfect result |
| elsif Pairs'Small = 2.0 and then ( P4 = 8.0 or P4 = 10.0 ) then |
| null; -- Allowed values |
| else |
| Report.Failed ("Pairs'Small =" & Pairs'Image (Pairs'Small) & |
| "and 100.5/10.5 = " & Pairs'Image (P4) ); |
| end if; |
| |
| H4 := H2 * 2; -- 2**(max_mantissa-6) * 2 |
| if H4 /= Halves(2.0 ** (System.Max_Mantissa-5)) then |
| Report.Failed ("2**(System.Max_Mantissa-6) * 2=" & Halves'Image (H4) & |
| " instead of " & |
| Halves'Image( Halves(2.0 ** (System.Max_Mantissa-5)))); |
| end if; |
| |
| P4 := Pairs(P1 * 6) / P2; -- 12 * 6 / -4 |
| if (P4 /= -18.0) then |
| Report.Failed ("12*6/-4 = " & Pairs'Image(P4)); |
| end if; |
| |
| P4 := Halves(P1 * 6.0) / P2; -- 12 * 6 / -4 |
| if (P4 /= -18.0) then |
| Report.Failed ("Halves(12*6)/-4 = " & Pairs'Image(P4)); |
| end if; |
| |
| exception |
| when others => |
| Report.Failed ("unexpected exception in Check_Mixed"); |
| end Check_Mixed; |
| |
| |
| begin -- main |
| Report.Test ("CXG2022", |
| "Check the accuracy of multiplication and division" & |
| " of binary fixed point numbers"); |
| if Verbose then |
| Report.Comment ("starting signed test"); |
| end if; |
| Check_Signed; |
| |
| if Verbose then |
| Report.Comment ("starting unsigned test"); |
| end if; |
| Check_Unsigned; |
| |
| if Verbose then |
| Report.Comment ("starting mixed sign test"); |
| end if; |
| Check_Mixed; |
| |
| Report.Result; |
| end CXG2022; |
