-- C490001.A
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-- C490001.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, for a real static expression that is not part of a larger
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-- Check that, for a real static expression that is not part of a larger
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-- static expression, and whose expected type T is a floating point type
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-- static expression, and whose expected type T is a floating point type
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-- that is not a descendant of a formal scalar type, the value is rounded
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-- that is not a descendant of a formal scalar type, the value is rounded
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-- to the nearest machine number of T if T'Machine_Rounds is true, and is
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-- to the nearest machine number of T if T'Machine_Rounds is true, and is
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-- truncated otherwise. Check that if rounding is performed, and the value
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-- truncated otherwise. Check that if rounding is performed, and the value
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-- is exactly halfway between two machine numbers, one of the two machine
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-- is exactly halfway between two machine numbers, one of the two machine
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-- numbers is used.
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-- numbers is used.
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--
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--
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-- TEST DESCRIPTION:
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-- TEST DESCRIPTION:
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-- The test obtains a machine number M1 for a floating point subtype S by
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-- The test obtains a machine number M1 for a floating point subtype S by
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-- passing a real literal to S'Machine. It then obtains an adjacent
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-- passing a real literal to S'Machine. It then obtains an adjacent
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-- machine number M2 by using S'Succ (or S'Pred). It then constructs
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-- machine number M2 by using S'Succ (or S'Pred). It then constructs
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-- values which lie between these two machine numbers: one (A) which is
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-- values which lie between these two machine numbers: one (A) which is
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-- closer to M1, one (B) which is exactly halfway between M1 and M2, and
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-- closer to M1, one (B) which is exactly halfway between M1 and M2, and
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-- one (C) which is closer to M2. This is done for both positive and
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-- one (C) which is closer to M2. This is done for both positive and
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-- negative machine numbers.
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-- negative machine numbers.
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--
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--
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-- Let M1 be closer to zero than M2. Then if S'Machine_Rounds is true,
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-- Let M1 be closer to zero than M2. Then if S'Machine_Rounds is true,
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-- C must be rounded to M2, A must be rounded to M1, and B must be rounded
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-- C must be rounded to M2, A must be rounded to M1, and B must be rounded
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-- to either M1 or M2. If S'Machine_Rounds is false, all the values must
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-- to either M1 or M2. If S'Machine_Rounds is false, all the values must
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-- be truncated to M1.
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-- be truncated to M1.
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--
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--
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-- A, B, and C are constructed using the following static expressions:
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-- A, B, and C are constructed using the following static expressions:
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--
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--
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-- A: constant S := M1 + (M2 - M1)*Z; -- Z slightly less than 0.5.
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-- A: constant S := M1 + (M2 - M1)*Z; -- Z slightly less than 0.5.
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-- B: constant S := M1 + (M2 - M1)*Z; -- Z equals 0.5.
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-- B: constant S := M1 + (M2 - M1)*Z; -- Z equals 0.5.
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-- C: constant S := M1 + (M2 - M1)*Z; -- Z slightly more than 0.5.
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-- C: constant S := M1 + (M2 - M1)*Z; -- Z slightly more than 0.5.
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--
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--
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-- Since these are static expressions, they must be evaluated exactly,
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-- Since these are static expressions, they must be evaluated exactly,
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-- and no rounding may occur until the final result is calculated.
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-- and no rounding may occur until the final result is calculated.
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--
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--
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-- The checks for equality between the members of (A, B, C) and (M1, M2)
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-- The checks for equality between the members of (A, B, C) and (M1, M2)
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-- are performed at run-time within the body of a subprogram.
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-- are performed at run-time within the body of a subprogram.
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--
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--
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-- The test performs additional checks that the rounding performed on
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-- The test performs additional checks that the rounding performed on
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-- real literals is consistent for a floating point subtype. A literal is
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-- real literals is consistent for a floating point subtype. A literal is
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-- assigned to a constant of a floating point subtype S. The same literal
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-- assigned to a constant of a floating point subtype S. The same literal
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-- is then passed to a subprogram, along with the constant, and an
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-- is then passed to a subprogram, along with the constant, and an
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-- equality check is performed within the body of the subprogram.
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-- equality check is performed within the body of the subprogram.
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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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-- 25 Sep 95 SAIC Initial prerelease version.
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-- 25 Sep 95 SAIC Initial prerelease version.
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-- 25 May 01 RLB Repaired to work with the repeal of the round away
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-- 25 May 01 RLB Repaired to work with the repeal of the round away
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-- rule by AI-268.
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-- rule by AI-268.
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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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package C490001_0 is
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package C490001_0 is
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type My_Flt is digits System.Max_Digits;
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type My_Flt is digits System.Max_Digits;
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procedure Float_Subtest (A, B: in My_Flt; Msg: in String);
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procedure Float_Subtest (A, B: in My_Flt; Msg: in String);
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procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String);
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procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String);
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--
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--
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-- Positive cases:
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-- Positive cases:
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--
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--
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-- |----|-------------|-----------------|-------------------|-----------|
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-- |----|-------------|-----------------|-------------------|-----------|
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-- | | | | | |
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-- | | | | | |
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-- 0 P_M1 Less_Pos_Than_Half Pos_Exactly_Half More_Pos_Than_Half P_M2
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-- 0 P_M1 Less_Pos_Than_Half Pos_Exactly_Half More_Pos_Than_Half P_M2
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Positive_Float : constant My_Flt := 12.440193950021943;
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Positive_Float : constant My_Flt := 12.440193950021943;
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-- The literal value 12.440193950021943 is rounded up or down to the
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-- The literal value 12.440193950021943 is rounded up or down to the
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-- nearest machine number of My_Flt when Positive_Float is initialized.
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-- nearest machine number of My_Flt when Positive_Float is initialized.
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-- The value of Positive_Float should therefore be a machine number, and
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-- The value of Positive_Float should therefore be a machine number, and
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-- the use of 'Machine in the initialization of P_M1 will be redundant for
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-- the use of 'Machine in the initialization of P_M1 will be redundant for
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-- a correct implementation. It's done anyway to make certain that P_M1 is
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-- a correct implementation. It's done anyway to make certain that P_M1 is
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-- a machine number, independent of whether an implementation correctly
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-- a machine number, independent of whether an implementation correctly
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-- performs rounding.
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-- performs rounding.
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P_M1 : constant My_Flt := My_Flt'Machine(Positive_Float);
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P_M1 : constant My_Flt := My_Flt'Machine(Positive_Float);
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P_M2 : constant My_Flt := My_Flt'Succ(P_M1);
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P_M2 : constant My_Flt := My_Flt'Succ(P_M1);
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-- P_M1 and P_M2 are adjacent machine numbers. Note that because it is not
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-- P_M1 and P_M2 are adjacent machine numbers. Note that because it is not
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-- certain whether 12.440193950021943 is a machine number, nor whether
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-- certain whether 12.440193950021943 is a machine number, nor whether
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-- 'Machine rounds it up or down, 12.440193950021943 may not lie between
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-- 'Machine rounds it up or down, 12.440193950021943 may not lie between
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-- P_M1 and P_M2. The test does not depend on this information, however;
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-- P_M1 and P_M2. The test does not depend on this information, however;
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-- the literal is only used as a "seed" to obtain the machine numbers.
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-- the literal is only used as a "seed" to obtain the machine numbers.
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-- The following entities are used to verify that rounding is performed
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-- The following entities are used to verify that rounding is performed
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-- according to the value of 'Machine_Rounds. If language rules are
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-- according to the value of 'Machine_Rounds. If language rules are
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-- obeyed, the intermediate expressions in the following static
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-- obeyed, the intermediate expressions in the following static
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-- initialization expressions will not be rounded; all calculations will
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-- initialization expressions will not be rounded; all calculations will
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-- be performed exactly. The final result, however, will be rounded to
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-- be performed exactly. The final result, however, will be rounded to
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-- a machine number (either P_M1 or P_M2, depending on the value of
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-- a machine number (either P_M1 or P_M2, depending on the value of
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-- My_Flt'Machine_Rounds). Thus, the value of each constant below will
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-- My_Flt'Machine_Rounds). Thus, the value of each constant below will
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-- equal that of P_M1 or P_M2.
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-- equal that of P_M1 or P_M2.
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Less_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*2.9/6.0);
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Less_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*2.9/6.0);
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Pos_Exactly_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)/2.0);
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Pos_Exactly_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)/2.0);
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More_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*4.6/9.0);
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More_Pos_Than_Half : constant My_Flt := P_M1 + ((P_M2 - P_M1)*4.6/9.0);
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--
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--
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-- Negative cases:
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-- Negative cases:
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--
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--
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-- -|-------------|-----------------|-------------------|-----------|----|
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-- -|-------------|-----------------|-------------------|-----------|----|
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-- | | | | | |
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-- | | | | | |
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-- N_M2 More_Neg_Than_Half Neg_Exactly_Half Less_Neg_Than_Half N_M1 0
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-- N_M2 More_Neg_Than_Half Neg_Exactly_Half Less_Neg_Than_Half N_M1 0
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-- The descriptions for the positive cases above apply to the negative
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-- The descriptions for the positive cases above apply to the negative
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-- cases below as well. Note that, for N_M2, 'Pred is used rather than
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-- cases below as well. Note that, for N_M2, 'Pred is used rather than
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-- 'Succ. Thus, N_M2 is further from 0.0 (i.e. more negative) than N_M1.
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-- 'Succ. Thus, N_M2 is further from 0.0 (i.e. more negative) than N_M1.
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Negative_Float : constant My_Flt := -0.692074550952117;
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Negative_Float : constant My_Flt := -0.692074550952117;
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N_M1 : constant My_Flt := My_Flt'Machine(Negative_Float);
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N_M1 : constant My_Flt := My_Flt'Machine(Negative_Float);
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N_M2 : constant My_Flt := My_Flt'Pred(N_M1);
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N_M2 : constant My_Flt := My_Flt'Pred(N_M1);
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More_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*4.1/8.0);
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More_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*4.1/8.0);
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Neg_Exactly_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)/2.0);
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Neg_Exactly_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)/2.0);
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Less_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*2.4/5.0);
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Less_Neg_Than_Half : constant My_Flt := N_M1 + ((N_M2 - N_M1)*2.4/5.0);
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end C490001_0;
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end C490001_0;
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--==================================================================--
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--==================================================================--
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with TCTouch;
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with TCTouch;
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package body C490001_0 is
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package body C490001_0 is
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procedure Float_Subtest (A, B: in My_Flt; Msg: in String) is
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procedure Float_Subtest (A, B: in My_Flt; Msg: in String) is
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begin
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begin
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TCTouch.Assert (A = B, Msg);
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TCTouch.Assert (A = B, Msg);
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end Float_Subtest;
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end Float_Subtest;
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procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String) is
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procedure Float_Subtest (A, B, C: in My_Flt; Msg: in String) is
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begin
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begin
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TCTouch.Assert (A = B or A = C, Msg);
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TCTouch.Assert (A = B or A = C, Msg);
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end Float_Subtest;
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end Float_Subtest;
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end C490001_0;
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end C490001_0;
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--==================================================================--
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--==================================================================--
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with C490001_0; -- Floating point support.
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with C490001_0; -- Floating point support.
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use C490001_0;
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use C490001_0;
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with Report;
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with Report;
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procedure C490001 is
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procedure C490001 is
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begin
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begin
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Report.Test ("C490001", "Rounding of real static expressions: " &
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Report.Test ("C490001", "Rounding of real static expressions: " &
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"floating point subtypes");
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"floating point subtypes");
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-- Check that rounding direction is consistent for literals:
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-- Check that rounding direction is consistent for literals:
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Float_Subtest (12.440193950021943, P_M1, "Positive Float: literal");
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Float_Subtest (12.440193950021943, P_M1, "Positive Float: literal");
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Float_Subtest (-0.692074550952117, N_M1, "Negative Float: literal");
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Float_Subtest (-0.692074550952117, N_M1, "Negative Float: literal");
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-- Now check that rounding is performed correctly for values between
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-- Now check that rounding is performed correctly for values between
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-- machine numbers, according to the value of 'Machine_Rounds:
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-- machine numbers, according to the value of 'Machine_Rounds:
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if My_Flt'Machine_Rounds then
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if My_Flt'Machine_Rounds then
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Float_Subtest (Pos_Exactly_Half, P_M1, P_M2, "Positive Float: = half");
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Float_Subtest (Pos_Exactly_Half, P_M1, P_M2, "Positive Float: = half");
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Float_Subtest (More_Pos_Than_Half, P_M2, "Positive Float: > half");
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Float_Subtest (More_Pos_Than_Half, P_M2, "Positive Float: > half");
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Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
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Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
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Float_Subtest (Neg_Exactly_Half, N_M1, N_M2, "Negative Float: = half");
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Float_Subtest (Neg_Exactly_Half, N_M1, N_M2, "Negative Float: = half");
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Float_Subtest (More_Neg_Than_Half, N_M2, "Negative Float: > half");
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Float_Subtest (More_Neg_Than_Half, N_M2, "Negative Float: > half");
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Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
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Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
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else
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else
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Float_Subtest (Pos_Exactly_Half, P_M1, "Positive Float: = half");
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Float_Subtest (Pos_Exactly_Half, P_M1, "Positive Float: = half");
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Float_Subtest (More_Pos_Than_Half, P_M1, "Positive Float: > half");
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Float_Subtest (More_Pos_Than_Half, P_M1, "Positive Float: > half");
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Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
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Float_Subtest (Less_Pos_Than_Half, P_M1, "Positive Float: < half");
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Float_Subtest (Neg_Exactly_Half, N_M1, "Negative Float: = half");
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Float_Subtest (Neg_Exactly_Half, N_M1, "Negative Float: = half");
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Float_Subtest (More_Neg_Than_Half, N_M1, "Negative Float: > half");
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Float_Subtest (More_Neg_Than_Half, N_M1, "Negative Float: > half");
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Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
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Float_Subtest (Less_Neg_Than_Half, N_M1, "Negative Float: < half");
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end if;
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end if;
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Report.Result;
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Report.Result;
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end C490001;
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end C490001;
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