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--- C490001.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 a floating point type
--- that is not a descendant of a formal scalar type, the value is rounded
--- to the nearest machine number 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 machine numbers, one of the two machine
--- numbers is used.
---
--- TEST DESCRIPTION:
--- The test obtains a machine number M1 for a floating point subtype S by
--- passing a real literal to S'Machine. It then obtains an adjacent
--- machine number M2 by using S'Succ (or S'Pred). It then constructs
--- values which lie between these two machine numbers: 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 machine numbers.
---
--- 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 less than 0.5.
--- B: constant S := M1 + (M2 - M1)*Z; -- Z equals 0.5.
--- C: constant S := M1 + (M2 - M1)*Z; -- Z slightly more than 0.5.
---
--- 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 a floating point subtype. A literal is
--- assigned to a constant of a floating 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:
--- 25 Sep 95 SAIC Initial prerelease version.
--- 25 May 01 RLB Repaired to work with the repeal of the round away
--- rule by AI-268.
---
---!
-
-with System;
-package C490001_0 is
-
- type My_Flt is digits System.Max_Digits;
-
- procedure Float_Subtest (A, B: in My_Flt; Msg: in String);
-
- procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String);
-
-
---
--- Positive cases:
---
-
- -- |----|-------------|-----------------|-------------------|-----------|
- -- | | | | | |
- -- 0 P_M1 Less_Pos_Than_Half Pos_Exactly_Half More_Pos_Than_Half P_M2
-
-
- Positive_Float : constant My_Flt := 12.440193950021943;
-
- -- The literal value 12.440193950021943 is rounded up or down to the
- -- nearest machine number of My_Flt when Positive_Float is initialized.
- -- The value of Positive_Float should therefore be a machine number, and
- -- the use of 'Machine in the initialization of P_M1 will be redundant for
- -- a correct implementation. It's done anyway to make certain that P_M1 is
- -- a machine number, independent of whether an implementation correctly
- -- performs rounding.
-
- P_M1 : constant My_Flt := My_Flt'Machine(Positive_Float);
- P_M2 : constant My_Flt := My_Flt'Succ(P_M1);
-
- -- P_M1 and P_M2 are adjacent machine numbers. Note that because it is not
- -- certain whether 12.440193950021943 is a machine number, nor whether
- -- 'Machine rounds it up or down, 12.440193950021943 may not lie between
- -- P_M1 and P_M2. The test does not depend on this information, however;
- -- the literal is only used as a "seed" to obtain the machine numbers.
-
-
- -- 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
- -- a machine number (either P_M1 or P_M2, depending on the value of
- -- My_Flt'Machine_Rounds). Thus, the value of each constant below will
- -- equal that of P_M1 or P_M2.
-
- Less_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*2.9/6.0);
- Pos_Exactly_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)/2.0);
- More_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*4.6/9.0);
-
-
---
--- 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_Float : constant My_Flt := -0.692074550952117;
-
-
- N_M1 : constant My_Flt := My_Flt'Machine(Negative_Float);
- N_M2 : constant My_Flt := My_Flt'Pred(N_M1);
-
- More_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*4.1/8.0);
- Neg_Exactly_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)/2.0);
- Less_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*2.4/5.0);
-
-end C490001_0;
-
-
- --==================================================================--
-
-
-with TCTouch;
-package body C490001_0 is
-
- procedure Float_Subtest (A, B: in My_Flt; Msg: in String) is
- begin
- TCTouch.Assert (A = B, Msg);
- end Float_Subtest;
-
- procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String) is
- begin
- TCTouch.Assert (A = B or A = C, Msg);
- end Float_Subtest;
-
-end C490001_0;
-
-
- --==================================================================--
-
-
-with C490001_0; -- Floating point support.
-use C490001_0;
-
-with Report;
-procedure C490001 is
-begin
- Report.Test ("C490001", "Rounding of real static expressions: " &
- "floating point subtypes");
-
-
- -- Check that rounding direction is consistent for literals:
-
- Float_Subtest (12.440193950021943, P_M1, "Positive Float: literal");
- Float_Subtest (-0.692074550952117, N_M1, "Negative Float: literal");
-
-
- -- Now check that rounding is performed correctly for values between
- -- machine numbers, according to the value of 'Machine_Rounds:
-
- if My_Flt'Machine_Rounds then
- Float_Subtest (Pos_Exactly_Half, P_M1, P_M2, "Positive Float: = half");
- Float_Subtest (More_Pos_Than_Half, P_M2, "Positive Float: > half");
- Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
-
- Float_Subtest (Neg_Exactly_Half, N_M1, N_M2, "Negative Float: = half");
- Float_Subtest (More_Neg_Than_Half, N_M2, "Negative Float: > half");
- Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
- else
- Float_Subtest (Pos_Exactly_Half, P_M1, "Positive Float: = half");
- Float_Subtest (More_Pos_Than_Half, P_M1, "Positive Float: > half");
- Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
-
- Float_Subtest (Neg_Exactly_Half, N_M1, "Negative Float: = half");
- Float_Subtest (More_Neg_Than_Half, N_M1, "Negative Float: > half");
- Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
- end if;
-
-
- Report.Result;
-end C490001;