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|
-- CXA5A06.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 Arccos and Arccosh provide correct
-- results.
--
-- TEST DESCRIPTION:
-- This test examines both the version of Arccos and Arccosh
-- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
-- with a type derived from type Float, as well as the preinstantiated
-- 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)
-- CXA5A06.A
--
--
-- CHANGE HISTORY:
-- 27 Mar 95 SAIC Initial prerelease version.
-- 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 with explicit Cycle => 2.0*Pi
--
-- 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 in this test have been
-- marked as comments, with the additional notation "pwb-math".
-- Phil Brashear
--!
with Ada.Numerics.Elementary_Functions;
with Ada.Numerics.Generic_Elementary_Functions;
with FXA5A00;
with Report;
procedure CXA5A06 is
begin
Report.Test ("CXA5A06", "Check that the functions Arccos and Arccosh " &
"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 Arccos Function, both instantiated and pre-instantiated
-- version.
-- Check that Argument_Error is raised by the Arccos function when the
-- absolute value of the input parameter is greater than 1.0.
begin
New_Float_Result := GEF.Arccos(New_Float(FXA5A00.One_Plus_Delta));
Report.Failed("Argument_Error not raised by the Arccos function " &
"when the input parameter is greater than 1.0");
Dont_Optimize_New_Float(New_Float_Result, 1);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function when the input parameter is greater " &
"than 1.0");
end;
begin
The_Result := EF.Arccos(-FXA5A00.Large);
Report.Failed("Argument_Error not raised by the Arccos function " &
"when the input parameter is a large negative value");
Dont_Optimize_Float(The_Result, 2);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function when the input parameter is a " &
"large negative value");
end;
-- Check the prescribed results of the Arccos function.
if GEF.Arccos(X => 1.0) /= 0.0 or
EF.Arccos(1.0) /= 0.0
then
Report.Failed("Incorrect result returned by the Arccos function " &
"when provided a parameter value of 0.0");
end if;
-- Check the results of the Arccos function with various input
-- parameters.
if not Result_Within_Range(GEF.Arccos(0.77), 0.692, 0.001) or
not Result_Within_Range( EF.Arccos(0.37), 1.19, 0.01) or
not Result_Within_Range(GEF.Arccos(0.0), Pi/2.0, 0.01) or
not Result_Within_Range( EF.Arccos(-0.11), 1.68, 0.01) or
not Result_Within_Range(GEF.Arccos(-0.67), 2.31, 0.01) or
not Result_Within_Range( EF.Arccos(-0.94), 2.79, 0.01) or
not Result_Within_Range(GEF.Arccos(-1.0), Pi, 0.01)
then
Report.Failed("Incorrect result returned from the Arccos " &
"function when provided a variety of input " &
"parameters");
end if;
-- Testing of the Arccos function with specified Cycle parameter.
-- Check that Argument_Error is raised by the Arccos function, with
-- specified Cycle parameter, when the absolute value of the input
-- parameter is greater than 1.0.
begin
--pwb-math: Next line: Changed 2.0*Pi to 360.0
New_Float_Result := GEF.Arccos(New_Float(Large), Cycle => 360.0);
Report.Failed("Argument_Error not raised by the Arccos function " &
"with specified Cycle parameter, when the input " &
"parameter is a large positive value");
Dont_Optimize_New_Float(New_Float_Result, 3);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function with specified Cycle parameter, when " &
"the input parameter is a large positive value");
end;
begin
--pwb-math: Next line: Changed 2.0*Pi to 360.0
The_Result := EF.Arccos(FXA5A00.Minus_One_Minus_Delta, 360.0);
Report.Failed("Argument_Error not raised by the Arccos function " &
"with specified Cycle parameter, when the input " &
"parameter is less than -1.0");
Dont_Optimize_Float(The_Result, 4);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function with specified Cycle parameter, " &
"when the input parameter is less than -1.0");
end;
-- Check that Argument_Error is raised by the Arccos function with
-- specified cycle when the value of the Cycle parameter is zero or
-- negative.
begin
New_Float_Result := GEF.Arccos(X => 1.0, Cycle => 0.0 );
Report.Failed("Argument_Error not raised by the Arccos function " &
"with specified Cycle parameter, when the Cycle " &
"parameter is 0.0");
Dont_Optimize_New_Float(New_Float_Result, 5);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function with specified Cycle parameter, when " &
"the Cycle parameter is 0.0");
end;
begin
The_Result := EF.Arccos(1.0, Cycle => -2.0*Pi);
Report.Failed("Argument_Error not raised by the Arccos function " &
"with specified Cycle parameter, when the Cycle " &
"parameter is negative");
Dont_Optimize_Float(The_Result, 6);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccos " &
"function with specified Cycle parameter, when " &
"the Cycle parameter is negative");
end;
-- Check the prescribed result of the Arccos function with specified
-- Cycle parameter.
--pwb-math: Next two lines: Changed 2.0*Pi to 360.0
if GEF.Arccos(X => 1.0, Cycle => 360.0) /= 0.0 or
EF.Arccos(1.0, 360.0) /= 0.0
then
Report.Failed("Incorrect result from the Arccos function with " &
"specified Cycle parameter, when the input " &
"parameter value is 1.0");
end if;
-- Check the results of the Arccos function, with specified Cycle
-- parameter, with various input parameters.
if --pwb-math not Result_Within_Range(GEF.Arccos( 0.04, 2.0*Pi), 1.53, 0.01) or
--pwb-math not Result_Within_Range( EF.Arccos( 0.14, 2.0*Pi), 1.43, 0.01) or
--pwb-math not Result_Within_Range(GEF.Arccos( 0.57, 2.0*Pi), 0.96, 0.01) or
--pwb-math not Result_Within_Range( EF.Arccos( 0.99, 2.0*Pi), 0.14, 0.01) or
not Result_Within_Range(GEF.Arccos(-1.0, 360.0), 180.0, 0.1) or
not Result_Within_Range(GEF.Arccos(-1.0, 100.0), 50.0, 0.1) or
not Result_Within_Range(GEF.Arccos( 0.0, 360.0), 90.0, 0.1) or
not Result_Within_Range(GEF.Arccos( 0.0, 100.0), 25.0, 0.1)
then
Report.Failed("Incorrect result returned from the Arccos " &
"function with specified Cycle parameter, " &
"when provided a variety of input parameters");
end if;
-- Testing of Arccosh Function, both instantiated and pre-instantiated
-- version.
-- Check that Argument_Error is raised by the Arccosh function when
-- the value of the parameter X is less than 1.0.
begin
New_Float_Result := GEF.Arccosh(New_Float(FXA5A00.One_Minus_Delta));
Report.Failed("Argument_Error not raised by the Arccosh function " &
"when the parameter value is less than 1.0");
Dont_Optimize_New_Float(New_Float_Result, 7);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccosh " &
"function when given a parameter value less " &
"than 1.0");
end;
begin
The_Result := EF.Arccosh(0.0);
Report.Failed("Argument_Error not raised by the Arccosh function " &
"when the parameter value is 0.0");
Dont_Optimize_Float(The_Result, 8);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccosh " &
"function when given a parameter value of 0.0");
end;
begin
New_Float_Result := GEF.Arccosh(New_Float(-FXA5A00.Large));
Report.Failed("Argument_Error not raised by the Arccosh function " &
"when the large negative parameter value");
Dont_Optimize_New_Float(New_Float_Result, 9);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by the Arccosh " &
"function when given a large negative parameter " &
"value");
end;
-- Check the prescribed results of the Arccosh function.
if GEF.Arccosh(X => 1.0) /= 0.0 or
EF.Arccosh(1.0) /= 0.0
then
Report.Failed("Incorrect result returned by the Arccosh " &
"function when provided a parameter value of 0.0");
end if;
-- Check the results of the Arccosh function with various input
-- parameters.
if not Result_Within_Range(GEF.Arccosh(1.03), 0.244, 0.001) or
not Result_Within_Range( EF.Arccosh(1.28), 0.732, 0.001) or
not Result_Within_Range(GEF.Arccosh(1.50), 0.962, 0.001) or
not Result_Within_Range( EF.Arccosh(1.77), 1.17, 0.01) or
not Result_Within_Range(GEF.Arccosh(2.00), 1.32, 0.01) or
not Result_Within_Range( EF.Arccosh(4.30), 2.14, 0.01) or
not Result_Within_Range(GEF.Arccosh(6.90), 2.62, 0.01)
then
Report.Failed("Incorrect result returned from the Arccosh " &
"function when provided a variety of input " &
"parameters");
end if;
exception
when others => Report.Failed ("Exception raised in Test_Block");
end Test_Block;
Report.Result;
end CXA5A06;
|
