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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;