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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;