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--- C490002.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, for a real static expression that is not part of a larger
--- static expression, and whose expected type T is an ordinary fixed
--- point type that is not a descendant of a formal scalar type, the value
--- is rounded to the nearest integral multiple of the small of T if
--- T'Machine_Rounds is true, and is truncated otherwise. Check that if
--- rounding is performed, and the value is exactly halfway between two
--- multiples of the small, one of the two multiples of small is used.
---
--- TEST DESCRIPTION:
--- The test obtains an integral multiple M1 of the small of an ordinary
--- fixed point subtype S by dividing a real literal by S'Small, and then
--- truncating the result using 'Truncation. It then obtains an adjacent
--- multiple M2 of the small by using S'Succ (or S'Pred). It then
--- constructs values which lie between these multiples: one (A) which is
--- closer to M1, one (B) which is exactly halfway between M1 and M2, and
--- one (C) which is closer to M2. This is done for both positive and
--- negative multiples of the small.
---
--- Let M1 be closer to zero than M2. Then if S'Machine_Rounds is true,
--- C must be rounded to M2, A must be rounded to M1, and B must be rounded
--- to either M1 or M2. If S'Machine_Rounds is false, all the values must
--- be truncated to M1.
---
--- A, B, and C are constructed using the following static expressions:
---
--- A: constant S := M1 + (M2 - M1)/Z; -- Z slightly more than 2.0.
--- B: constant S := M1 + (M2 - M1)/Z; -- Z equals 2.0.
--- C: constant S := M1 + (M2 - M1)/Z; -- Z slightly less than 2.0.
---
--- Since these are static expressions, they must be evaluated exactly,
--- and no rounding may occur until the final result is calculated.
---
--- The checks for equality between the members of (A, B, C) and (M1, M2)
--- are performed at run-time within the body of a subprogram.
---
--- The test performs additional checks that the rounding performed on
--- real literals is consistent for ordinary fixed point subtypes. A
--- named number (initialized with a literal) is assigned to a constant of
--- a fixed point subtype S. The same literal is then passed to a
--- subprogram, along with the constant, and an equality check is
--- performed within the body of the subprogram.
---
---
--- CHANGE HISTORY:
--- 26 Sep 95 SAIC Initial prerelease version.
---
---!
-
-package C490002_0 is
-
- type My_Fix is delta 0.0625 range -1000.0 .. 1000.0;
-
- Small : constant := My_Fix'Small; -- Named number.
-
- procedure Fixed_Subtest (A, B: in My_Fix; Msg: in String);
-
- procedure Fixed_Subtest (A, B, C: in My_Fix; Msg: in String);
-
-
---
--- Positive cases:
---
-
- -- |----|-------------|-----------------|-------------------|-----------|
- -- | | | | | |
- -- 0 P_M1 Less_Pos_Than_Half Pos_Exactly_Half More_Pos_Than_Half P_M2
-
-
- Positive_Real : constant := 0.11433; -- Named number.
- Pos_Multiplier : constant := Float'Truncation(Positive_Real/Small);
-
- -- Pos_Multiplier is the number of integral multiples of small contained
- -- in Positive_Real. P_M1 is thus the largest integral multiple of
- -- small less than or equal to Positive_Real. Note that since Positive_Real
- -- is a named number and not a fixed point object, P_M1 is generated
- -- without assuming that rounding is performed correctly for fixed point
- -- subtypes.
-
- Positive_Fixed : constant My_Fix := Positive_Real;
-
- P_M1 : constant My_Fix := Pos_Multiplier * Small;
- P_M2 : constant My_Fix := My_Fix'Succ(P_M1);
-
- -- P_M1 and P_M2 are adjacent multiples of the small of My_Fix. Note that
- -- 0.11433 either equals P_M1 (if it is an integral multiple of the small)
- -- or lies between P_M1 and P_M2 (since truncation was forced in
- -- generating Pos_Multiplier). It is not certain, however, exactly where
- -- it lies between them (halfway, less than halfway, more than halfway).
- -- This fact is irrelevant to the test.
-
-
- -- The following entities are used to verify that rounding is performed
- -- according to the value of 'Machine_Rounds. If language rules are
- -- obeyed, the intermediate expressions in the following static
- -- initialization expressions will not be rounded; all calculations will
- -- be performed exactly. The final result, however, will be rounded to
- -- an integral multiple of the small (either P_M1 or P_M2, depending on the
- -- value of My_Fix'Machine_Rounds). Thus, the value of each constant below
- -- will equal that of P_M1 or P_M2.
-
- Less_Pos_Than_Half : constant My_Fix := P_M1 + ((P_M2 - P_M1)/2.050);
- Pos_Exactly_Half : constant My_Fix := P_M1 + ((P_M2 - P_M1)/2.000);
- More_Pos_Than_Half : constant My_Fix := P_M1 + ((P_M2 - P_M1)/1.975);
-
-
---
--- Negative cases:
---
-
- -- -|-------------|-----------------|-------------------|-----------|----|
- -- | | | | | |
- -- N_M2 More_Neg_Than_Half Neg_Exactly_Half Less_Neg_Than_Half N_M1 0
-
-
- -- The descriptions for the positive cases above apply to the negative
- -- cases below as well. Note that, for N_M2, 'Pred is used rather than
- -- 'Succ. Thus, N_M2 is further from 0.0 (i.e. more negative) than N_M1.
-
- Negative_Real : constant := -467.13988; -- Named number.
- Neg_Multiplier : constant := Float'Truncation(Negative_Real/Small);
-
- Negative_Fixed : constant My_Fix := Negative_Real;
-
- N_M1 : constant My_Fix := Neg_Multiplier * Small;
- N_M2 : constant My_Fix := My_Fix'Pred(N_M1);
-
- More_Neg_Than_Half : constant My_Fix := N_M1 + ((N_M2 - N_M1)/1.980);
- Neg_Exactly_Half : constant My_Fix := N_M1 + ((N_M2 - N_M1)/2.000);
- Less_Neg_Than_Half : constant My_Fix := N_M1 + ((N_M2 - N_M1)/2.033);
-
-end C490002_0;
-
-
- --==================================================================--
-
-
-with TCTouch;
-package body C490002_0 is
-
- procedure Fixed_Subtest (A, B: in My_Fix; Msg: in String) is
- begin
- TCTouch.Assert (A = B, Msg);
- end Fixed_Subtest;
-
- procedure Fixed_Subtest (A, B, C: in My_Fix; Msg: in String) is
- begin
- TCTouch.Assert (A = B or A = C, Msg);
- end Fixed_Subtest;
-
-end C490002_0;
-
-
- --==================================================================--
-
-
-with C490002_0; -- Fixed point support.
-use C490002_0;
-
-with Report;
-procedure C490002 is
-begin
- Report.Test ("C490002", "Rounding of real static expressions: " &
- "ordinary fixed point subtypes");
-
-
- -- Literal cases: If the named numbers used to initialize Positive_Fixed
- -- and Negative_Fixed are rounded to an integral multiple of the small
- -- prior to assignment (as expected), then Positive_Fixed and
- -- Negative_Fixed are already integral multiples of the small, and
- -- equal either P_M1 or P_M2 (resp., N_M1 or N_M2). An equality check
- -- can determine in which direction rounding occurred. For example:
- --
- -- if (Positive_Fixed = P_M1) then -- Rounding was toward 0.0.
- --
- -- Check here that the rounding direction is consistent for literals:
-
- if (Positive_Fixed = P_M1) then
- Fixed_Subtest (0.11433, P_M1, "Positive Fixed: literal");
- else
- Fixed_Subtest (0.11433, P_M2, "Positive Fixed: literal");
- end if;
-
- if (Negative_Fixed = N_M1) then
- Fixed_Subtest (-467.13988, N_M1, "Negative Fixed: literal");
- else
- Fixed_Subtest (-467.13988, N_M2, "Negative Fixed: literal");
- end if;
-
-
- -- Now check that rounding is performed correctly for values between
- -- multiples of the small, according to the value of 'Machine_Rounds:
-
- if My_Fix'Machine_Rounds then
- Fixed_Subtest (Pos_Exactly_Half, P_M1, P_M2, "Positive Fixed: = half");
- Fixed_Subtest (More_Pos_Than_Half, P_M2, "Positive Fixed: > half");
- Fixed_Subtest (Less_Pos_Than_Half, P_M1, "Positive Fixed: < half");
-
- Fixed_Subtest (Neg_Exactly_Half, N_M1, N_M2, "Negative Fixed: = half");
- Fixed_Subtest (More_Neg_Than_Half, N_M2, "Negative Fixed: > half");
- Fixed_Subtest (Less_Neg_Than_Half, N_M1, "Negative Fixed: < half");
- else
- Fixed_Subtest (Pos_Exactly_Half, P_M1, "Positive Fixed: = half");
- Fixed_Subtest (More_Pos_Than_Half, P_M1, "Positive Fixed: > half");
- Fixed_Subtest (Less_Pos_Than_Half, P_M1, "Positive Fixed: < half");
-
- Fixed_Subtest (Neg_Exactly_Half, N_M1, "Negative Fixed: = half");
- Fixed_Subtest (More_Neg_Than_Half, N_M1, "Negative Fixed: > half");
- Fixed_Subtest (Less_Neg_Than_Half, N_M1, "Negative Fixed: < half");
- end if;
-
-
- Report.Result;
-end C490002;