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|
-- CXA5A05.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 Arcsin and Arcsinh provide correct
-- results.
--
-- TEST DESCRIPTION:
-- This test examines both the version of Arcsin and Arcsinh
-- 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)
-- CXA5A05.A
--
--
-- CHANGE HISTORY:
-- 20 Mar 95 SAIC Initial prerelease version.
-- 06 Apr 95 SAIC Corrected errors in context clause reference and
-- use of Cycle parameter.
-- 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 explict 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 CXA5A05 is
begin
Report.Test ("CXA5A05", "Check that the functions Arcsin and Arcsinh " &
"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 Function Arcsin, both instantiated and pre-instantiated
-- versions.
-- Check that Argument_Error is raised by the Arcsin function when
-- the absolute value of the parameter X is greater than 1.0.
begin
New_Float_Result := GEF.Arcsin(New_Float(FXA5A00.One_Plus_Delta));
Report.Failed("Argument_Error not raised by Arcsin function " &
"when provided a parameter value larger 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 Arcsin function " &
"when provided a parameter value larger than 1.0");
end;
begin
The_Result := EF.Arcsin(FXA5A00.Minus_Large);
Report.Failed("Argument_Error not raised by Arcsin function " &
"when provided a large negative parameter value");
Dont_Optimize_Float(The_Result, 2);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by Arcsin function " &
"when provided a large negative parameter value");
end;
-- Check the prescribed result of function Arcsin with parameter 0.0.
if GEF.Arcsin(X => 0.0) /= 0.0 or
EF.Arcsin(0.0) /= 0.0
then
Report.Failed("Incorrect result from Function Arcsin when the " &
"value of the parameter X is 0.0");
end if;
-- Check the results of the Arcsin function with various input
-- parameters.
if not Result_Within_Range(GEF.Arcsin(1.0), 1.571, 0.001) or
not Result_Within_Range( EF.Arcsin(0.62), 0.669, 0.001) or
not Result_Within_Range(GEF.Arcsin(0.01), 0.010, 0.001) or
not Result_Within_Range( EF.Arcsin(-0.29), -0.294, 0.001) or
not Result_Within_Range(GEF.Arcsin(-0.50), -0.524, 0.001) or
not Result_Within_Range( EF.Arcsin(-1.0), -1.571, 0.001)
then
Report.Failed("Incorrect result from Function Arcsin with " &
"various input parameters");
end if;
-- Testing of Function Arcsin with specified Cycle parameter.
--pwb-math -- Check that Argument_Error is raised by the Arcsin function with
--pwb-math -- specified cycle, whenever the absolute value of the parameter X
--pwb-math -- is greater than 1.0.
--pwb-math
--pwb-math begin
--pwb-math New_Float_Result := GEF.Arcsin(New_Float(FXA5A00.Large), 2.0*Pi);
--pwb-math Report.Failed("Argument_Error not raised by Function Arcsin " &
--pwb-math "with specified cycle, when provided a large " &
--pwb-math "positive input parameter");
--pwb-math Dont_Optimize_New_Float(New_Float_Result, 3);
--pwb-math exception
--pwb-math when Argument_Error => null; -- OK, expected exception.
--pwb-math when others =>
--pwb-math Report.Failed("Unexpected exception raised by Function Arcsin " &
--pwb-math "with specified cycle, when provided a large " &
--pwb-math "positive input parameter");
--pwb-math end;
--pwb-math
--pwb-math begin
--pwb-math The_Result := EF.Arcsin(FXA5A00.Minus_One_Minus_Delta, 2.0*Pi);
--pwb-math Report.Failed("Argument_Error not raised by Function Arcsin " &
--pwb-math "with specified cycle, when provided an input " &
--pwb-math "parameter less than -1.0");
--pwb-math Dont_Optimize_Float(The_Result, 4);
--pwb-math exception
--pwb-math when Argument_Error => null; -- OK, expected exception.
--pwb-math when others =>
--pwb-math Report.Failed("Unexpected exception raised by Function Arcsin " &
--pwb-math "with specified cycle, when provided an input " &
--pwb-math "parameter less than -1.0");
--pwb-math end;
--pwb-math
-- Check that Argument_Error is raised by the Arcsin function with
-- specified cycle, whenever the Cycle parameter is zero or negative.
begin
New_Float_Result := GEF.Arcsin(2.0, 0.0);
Report.Failed("Argument_Error not raised by Function Arcsin " &
"with specified cycle of 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 Function Arcsin " &
"with specified cycle of 0.0");
end;
begin
The_Result := EF.Arcsin(2.0, -2.0*Pi);
Report.Failed("Argument_Error not raised by Function Arcsin " &
"with specified negative cycle parameter");
Dont_Optimize_Float(The_Result, 6);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Unexpected exception raised by Function Arcsin " &
"with specified negative cycle parameter");
end;
--pwb-math -- Check the prescribed result of function Arcsin with specified Cycle
--pwb-math -- parameter, when the value of parameter X is 0.0.
--pwb-math
--pwb-math if GEF.Arcsin(X => 0.0, Cycle => 2.0*Pi) /= 0.0 or
--pwb-math EF.Arcsin(0.0, 2.0*Pi) /= 0.0
--pwb-math then
--pwb-math Report.Failed("Incorrect result from Function Arcsin with " &
--pwb-math "specified Cycle parameter, when the value " &
--pwb-math "of parameter X is 0.0");
--pwb-math end if;
--pwb-math
--pwb-math
--pwb-math -- Test of the Arcsin function with specified Cycle parameter with
--pwb-math -- various input parameters.
--pwb-math
--pwb-math if not FXA5A00.Result_Within_Range(GEF.Arcsin( 0.01, 2.0*Pi),
--pwb-math 0.010,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin( 0.14, 2.0*Pi),
--pwb-math 0.141,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range(GEF.Arcsin( 0.37, 2.0*Pi),
--pwb-math 0.379,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin( 0.55, 2.0*Pi),
--pwb-math 0.582,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range(GEF.Arcsin(-0.22, 2.0*Pi),
--pwb-math -0.222,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(-0.99, 2.0*Pi),
--pwb-math -1.43,
--pwb-math 0.01) or
--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(1.0, 360.0),
--pwb-math 90.0,
--pwb-math 0.1) or
--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(1.0, 100.0),
--pwb-math 25.0,
--pwb-math 0.1)
--pwb-math then
--pwb-math Report.Failed("Incorrect result from Arcsin with specified " &
--pwb-math "cycle parameter with various input parameters");
--pwb-math end if;
-- Testing of Arcsinh Function, both instantiated and pre-instantiated
-- version.
-- Check that no exception occurs on computing the Arcsinh with very
-- large (positive and negative) input values.
begin
New_Float_Result := GEF.Arcsinh(New_Float(FXA5A00.Large));
Dont_Optimize_New_Float(New_Float_Result, 7);
exception
when others =>
Report.Failed("Unexpected exception on Arcsinh with large " &
"positive value");
end;
begin
The_Result := EF.Arcsinh(FXA5A00.Minus_Large);
Dont_Optimize_Float(The_Result, 8);
exception
when others =>
Report.Failed("Unexpected exception on Arcsinh with large " &
"negative value");
end;
-- Check that no exception occurs on computing the Arcsinh with very
-- small (positive and negative) input values.
begin
New_Float_Result := GEF.Arcsinh(New_Float(FXA5A00.Small));
Dont_Optimize_New_Float(New_Float_Result, 9);
exception
when others =>
Report.Failed("Unexpected exception on Arcsinh with small " &
"positive value");
end;
begin
The_Result := EF.Arcsinh(-FXA5A00.Small);
Dont_Optimize_Float(The_Result, 10);
exception
when others =>
Report.Failed("Unexpected exception on Arcsinh with small " &
"negative value");
end;
-- Check function Arcsinh for prescribed result with parameter 0.0.
if GEF.Arcsinh(X => 0.0) /= 0.0 or
EF.Arcsinh(X => 0.0) /= 0.0
then
Report.Failed("Incorrect result from Function Arcsinh when " &
"provided a 0.0 input parameter");
end if;
-- Check the results of the Arcsinh function with various input
-- parameters.
if not Result_Within_Range(GEF.Arcsinh(0.15), 0.149, 0.001) or
not Result_Within_Range( EF.Arcsinh(0.82), 0.748, 0.001) or
not Result_Within_Range(GEF.Arcsinh(1.44), 1.161, 0.001) or
not Result_Within_Range(GEF.Arcsinh(6.70), 2.601, 0.001) or
not Result_Within_Range( EF.Arcsinh(Pi), 1.862, 0.001) or
not Result_Within_Range( EF.Arcsinh(-Pi), -1.862, 0.001) or
not Result_Within_Range(GEF.Arcsinh(-1.0), -0.881, 0.001) or
not Result_Within_Range( EF.Arcsinh(-5.5), -2.406, 0.001)
then
Report.Failed("Incorrect result from Function Arcsin with " &
"various input parameters");
end if;
exception
when others => Report.Failed ("Exception raised in Test_Block");
end Test_Block;
Report.Result;
end CXA5A05;
|
