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|
-- CXA5A02.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 the functions Cos and Cosh provide correct results.
--
-- TEST DESCRIPTION:
-- This test examines both the version of Cos and Cosh resulting from
-- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
-- with type derived from type Float, as well as the pre-instantiated
-- version of this package for type Float.
-- Prescribed results, including instances prescribed to raise
-- exceptions, are examined in the test cases. In addition,
-- certain evaluations are performed where the actual function result
-- is compared with the expected result (within an epsilon range of
-- accuracy).
--
-- TEST FILES:
-- The following files comprise this test:
--
-- FXA5A00.A (foundation code)
-- CXA5A02.A
--
--
-- CHANGE HISTORY:
-- 09 Mar 95 SAIC Initial prerelease version.
-- 03 Apr 95 SAIC Removed reference to derived type.
-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
-- use of Result_Within_Range function overloaded for
-- FXA5A00.New_Float_Type.
-- 28 Feb 97 PWB.CTA Removed checks specifying Cycle => 2.0 * Pi
-- 26 Jun 98 EDS Protected exception checks by first testing
-- for 'Machine_Overflows. Removed code deleted
-- by comment.
-- CHANGE NOTE:
-- According to Ken Dritz, author of the Numerics Annex of the RM,
-- one should never specify the cycle 2.0*Pi for the trigonometric
-- functions. In particular, if the machine number for the first
-- argument is not an exact multiple of the machine number for the
-- explicit cycle, then the specified exact results cannot be
-- reasonably expected. The affected checks have been deleted.
--!
with Ada.Numerics.Elementary_Functions;
with Ada.Numerics.Generic_Elementary_Functions;
with FXA5A00;
with Report;
procedure CXA5A02 is
begin
Report.Test ("CXA5A02", "Check that the functions Cos and Cosh provide " &
"correct results");
Test_Block:
declare
use Ada.Numerics;
use FXA5A00;
package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
package EF renames Ada.Numerics.Elementary_Functions;
The_Result : Float;
New_Float_Result : New_Float;
procedure Dont_Optimize_Float is new Dont_Optimize(Float);
procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
begin
-- Testing of Cos Function, both instantiated and pre-instantiated
-- version.
-- Check that no exception occurs on computing the Cos with very
-- large (positive and negative) input values.
begin
New_Float_Result := GEF.Cos (New_Float(FXA5A00.Large));
Dont_Optimize_New_Float(New_Float_Result, 1);
exception
when others =>
Report.Failed("Unexpected exception on GEF.Cos with large " &
"positive value");
end;
begin
The_Result := EF.Cos (FXA5A00.Minus_Large);
Dont_Optimize_Float(The_Result, 2);
exception
when others =>
Report.Failed("Unexpected exception on GEF.Cos with large " &
"negative value");
end;
-- Test of Cos for prescribed result at zero.
if GEF.Cos (0.0) /= 1.0 or
EF.Cos (0.0) /= 1.0
then
Report.Failed("Incorrect value returned from Cos(0.0)");
end if;
-- Test of Cos with expected result value between 1.0 and -1.0.
if not (Result_Within_Range( EF.Cos(Ada.Numerics.Pi/3.0),
0.500,
0.001) and
Result_Within_Range(GEF.Cos(0.6166), 0.816, 0.001) and
Result_Within_Range(GEF.Cos(0.1949), 0.981, 0.001) and
Result_Within_Range( EF.Cos(Ada.Numerics.Pi/2.0),
0.00,
0.001) and
Result_Within_Range( EF.Cos(2.0*Ada.Numerics.Pi/3.0),
-0.500,
0.001) and
Result_Within_Range(GEF.Cos(New_Float(Ada.Numerics.Pi)),
-1.00,
0.001))
then
Report.Failed("Incorrect value returned from Cos function when " &
"the expected result is between 1.0 and -1.0");
end if;
-- Testing of the Cos function with Cycle parameter.
-- Check that Argument_Error is raised when the value of the Cycle
-- parameter is zero.
begin
New_Float_Result := GEF.Cos (X => 1.0, Cycle => 0.0);
Report.Failed("Argument_Error not raised by GEF.Cos function " &
"when the Cycle parameter is zero");
Dont_Optimize_New_Float(New_Float_Result, 3);
exception
when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by GEF.cos function " &
"when the Cycle parameter is zero");
end;
begin
The_Result := EF.Cos (X => 0.55, Cycle => 0.0);
Report.Failed("Argument_Error not raised by EF.Cos function when " &
"the Cycle parameter is zero");
Dont_Optimize_Float(The_Result, 4);
exception
when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by EF.Cos function " &
"when the Cycle parameter is zero");
end;
-- Check that Argument_Error is raised when the value of the Cycle
-- parameter is negative.
begin
New_Float_Result := GEF.Cos (X => 0.45, Cycle => -2.0*Pi);
Report.Failed("Argument_Error not raised by GEF.Cos function " &
"when the Cycle parameter is negative");
Dont_Optimize_New_Float(New_Float_Result, 5);
exception
when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by GEF.Cos function " &
"when the Cycle parameter is negative");
end;
begin
The_Result := EF.Cos (X => 0.10, Cycle => -Pi/2.0);
Report.Failed("Argument_Error not raised by EF.Cos function when " &
"the Cycle parameter is negative");
Dont_Optimize_Float(The_Result, 6);
exception
when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by EF.Cos function " &
"when the Cycle parameter is negative");
end;
-- Test of Cos with Cycle parameter for prescribed result at zero.
if GEF.Cos (0.0, 360.0) /= 1.0 or
EF.Cos (0.0, 360.0) /= 1.0
then
Report.Failed("Incorrect value returned from Cos function with " &
"cycle parameter for a zero input parameter value");
end if;
-- Tests of Cos function with specified Cycle, using various input
-- parameter values for prescribed results.
if GEF.Cos(0.0, 360.0) /= 1.0 or
EF.Cos(360.0, 360.0) /= 1.0 or
GEF.Cos(90.0, 360.0) /= 0.0 or
EF.Cos(270.0, 360.0) /= 0.0 or
GEF.Cos(180.0, 360.0) /= -1.0 or
EF.Cos(540.0, 360.0) /= -1.0
then
Report.Failed("Incorrect result from the Cos function with " &
"specified cycle for prescribed results");
end if;
-- Testing of Cosh Function, both instantiated and pre-instantiated
-- version.
-- Test for Constraint_Error on parameter with large positive magnitude.
begin
if New_Float'Machine_Overflows then
New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Large));
Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
"function is provided a parameter with a large " &
"positive value");
Dont_Optimize_New_Float(New_Float_Result, 9);
end if;
exception
when Constraint_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
"function is provided a parameter with a large " &
"positive value");
end;
-- Test for Constraint_Error on parameter with large negative magnitude.
begin
if Float'Machine_Overflows then
The_Result := EF.Cosh (FXA5A00.Minus_Large);
Report.Failed("Constraint_Error not raised when the EF.Cosh " &
"function is provided a parameter with a " &
"large negative value");
Dont_Optimize_Float(The_Result, 10);
end if;
exception
when Constraint_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Constraint_Error not raised when the EF.Cosh " &
"function is provided a parameter with a " &
"large negative value");
end;
-- Test that no exception occurs when the Cosh function is provided a
-- very small positive or negative value.
begin
New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Small));
Dont_Optimize_New_Float(New_Float_Result, 11);
exception
when others =>
Report.Failed("Unexpected exception on GEF.Cosh with a very" &
"small positive value");
end;
begin
The_Result := EF.Cosh (-FXA5A00.Small);
Dont_Optimize_Float(The_Result, 12);
exception
when others =>
Report.Failed("Unexpected exception on EF.Cosh with a very" &
"small negative value");
end;
-- Test for prescribed 1.0 result of Function Cosh with 0.0 parameter.
if GEF.Cosh (0.0) /= 1.0 or
EF.Cosh (0.0) /= 1.0
then
Report.Failed("Incorrect value returned from Cosh(0.0)");
end if;
-- Test of Cosh function with various input parameters.
if not FXA5A00.Result_Within_Range(GEF.Cosh(0.24), 1.029, 0.001) or
not FXA5A00.Result_Within_Range( EF.Cosh(0.59), 1.179, 0.001) or
not FXA5A00.Result_Within_Range(GEF.Cosh(1.06), 1.616, 0.001) or
not FXA5A00.Result_Within_Range( EF.Cosh(1.50), 2.352, 0.001) or
not FXA5A00.Result_Within_Range(GEF.Cosh(1.84), 3.228, 0.001) or
not FXA5A00.Result_Within_Range( EF.Cosh(3.40), 14.99, 0.01)
then
Report.Failed("Incorrect result from Cosh function with " &
"various input parameters");
end if;
exception
when others => Report.Failed ("Exception raised in Test_Block");
end Test_Block;
Report.Result;
end CXA5A02;
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