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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;