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-- CXA5A07.A

--

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--     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

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--     recipients unlimited rights  equal to those held by the Government.

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--     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 function Arctan provides correct results.

--

-- TEST DESCRIPTION:

--      This test examines both the version of Arctan resulting from 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)

--         CXA5A07.A

--

--

-- CHANGE HISTORY:

--      04 Apr 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 CXA5A07 is

begin

   Report.Test ("CXA5A07", "Check that the Arctan function provides " &

                           "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;

      Float_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 Arctan Function, both instantiated and pre-instantiated

      -- version.

      -- Check that Argument_Error is raised by the Arctan function when

      -- provided parameter values of 0.0, 0.0.

      begin

         New_Float_Result := GEF.Arctan(Y => 0.0, X => 0.0);

         Report.Failed("Argument_Error not raised when the Arctan " &

                       "function is provided input of 0.0, 0.0");

         Dont_Optimize_New_Float(New_Float_Result, 1);

      exception

         when Argument_Error => null;  -- OK, expected exception.

         when others         =>

            Report.Failed("Incorrect exception raised by the Arctan " &

                          "function when provided 0.0, 0.0 input parameters");

      end;

      -- Check that no exception is raised by the Arctan function when

      -- provided a large positive or negative Y parameter value, when

      -- using the default value for parameter X.

      begin

         Float_Result := EF.Arctan(Y => FXA5A00.Large);

         Dont_Optimize_Float(Float_Result, 2);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a large positive Y parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(Y => New_Float(-FXA5A00.Large));

         Dont_Optimize_New_Float(New_Float_Result, 3);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a large negative Y parameter value");

      end;

      -- Check that no exception is raised by the Arctan function when

      -- provided a small positive or negative Y parameter value, when

      -- using the default value for parameter X.

      begin

         Float_Result := EF.Arctan(Y => FXA5A00.Small);

         Dont_Optimize_Float(Float_Result, 4);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a small positive Y parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(Y => New_Float(-FXA5A00.Small));

         Dont_Optimize_New_Float(New_Float_Result, 5);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a small negative Y parameter value");

      end;

      -- Check that no exception is raised by the Arctan function when

      -- provided combinations of large and small positive or negative

      -- parameter values for both Y and X input parameters.

      begin

         Float_Result := EF.Arctan(Y => FXA5A00.Large, X => FXA5A00.Large);

         Dont_Optimize_Float(Float_Result, 6);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided large positive X and Y parameter values");

      end;

      begin

         New_Float_Result := GEF.Arctan(New_Float(-FXA5A00.Large),

                                        X => New_Float(FXA5A00.Small));

         Dont_Optimize_New_Float(New_Float_Result, 7);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a large negative Y parameter value "  &

                          "and a small positive X parameter value");

      end;

      begin

         Float_Result := EF.Arctan(Y => FXA5A00.Small, X => FXA5A00.Large);

         Dont_Optimize_Float(Float_Result, 8);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a small positive Y parameter value "  &

                          "and a large positive X parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(New_Float(-FXA5A00.Small),

                                        New_Float(-FXA5A00.Large));

         Dont_Optimize_New_Float(New_Float_Result, 9);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function is " &

                          "provided a small negative Y parameter value "  &

                          "and a large negative parameter value");

      end;

      -- Check that when the Arctan function is provided a Y parameter value

      -- of 0.0 and a positive X parameter input value, the prescribed result

      -- of zero is returned.

      if GEF.Arctan(Y => 0.0)                     /= 0.0 or -- Default X value

          EF.Arctan(Y => 0.0, X => FXA5A00.Large) /= 0.0 or

--pwb-math: Next line: changed 2.0*Pi to 360.0

         GEF.Arctan(0.0, 360.0)                  /= 0.0 or

          EF.Arctan(0.0, FXA5A00.Small)           /= 0.0

      then

         Report.Failed("Incorrect results from the Arctan function when " &

                       "provided a Y parameter value of 0.0 and various " &

                       "positive X parameter values");

      end if;

      -- Check that the Arctan function provides correct results when provided

      -- a variety of Y parameter values.

      if not FXA5A00.Result_Within_Range(EF.Arctan(Pi),    1.26,  0.01)  or

         not FXA5A00.Result_Within_Range(EF.Arctan(-Pi),  -1.26,  0.01)  or

         not FXA5A00.Result_Within_Range(GEF.Arctan(1.0),  0.785, 0.001) or

         not FXA5A00.Result_Within_Range(EF.Arctan(-1.0), -0.785, 0.001) or

         not FXA5A00.Result_Within_Range(GEF.Arctan(0.25), 0.245, 0.001) or

         not FXA5A00.Result_Within_Range(EF.Arctan(0.92),  0.744, 0.001)

      then

         Report.Failed("Incorrect results from the Arctan function when " &

                       "provided a variety of Y parameter values");

      end if;

      -- Check the results of the Arctan function with specified cycle

      -- parameter.

      -- Check that the Arctan function with specified Cycle parameter

      -- raises Argument_Error when the value of the Cycle parameter is zero

      -- or negative.

      begin

         Float_Result := EF.Arctan(Y => Pi, Cycle => 0.0);  -- Default X value

         Report.Failed("Argument_Error not raised by the Arctan function " &

                       "with default X parameter value, when the Cycle "   &

                       "parameter is 0.0");

         Dont_Optimize_Float(Float_Result, 10);

      exception

         when Argument_Error => null;  -- OK, expected exception.

         when others         =>

            Report.Failed("Incorrect exception raised by the Arctan "      &

                          "function with default X parameter value, when " &

                          "provided a 0.0 cycle parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(Y => Pi, X => 1.0, Cycle => 0.0);

         Report.Failed("Argument_Error not raised by the Arctan function " &

                       "when the Cycle parameter is 0.0");

         Dont_Optimize_New_Float(New_Float_Result, 11);

      exception

         when Argument_Error => null;  -- OK, expected exception.

         when others         =>

            Report.Failed("Incorrect exception raised by the Arctan "     &

                          "function when provided a 0.0 cycle parameter " &

                          "value");

      end;

      begin

         Float_Result := EF.Arctan(Y => Pi, Cycle => -360.0);

         Report.Failed("Argument_Error not raised by the Arctan function " &

                       "with a default X parameter value, when the Cycle " &

                       "parameter is -360.0");

         Dont_Optimize_Float(Float_Result, 12);

      exception

         when Argument_Error => null;  -- OK, expected exception.

         when others         =>

            Report.Failed("Incorrect exception raised by the Arctan "        &

                          "function with a default X parameter value, when " &

                          "provided a -360.0 cycle parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(Y => Pi, X => 1.0, Cycle => -Pi);

         Report.Failed("Argument_Error not raised by the Arctan function " &

                       "when the Cycle parameter is -Pi");

         Dont_Optimize_New_Float(New_Float_Result, 13);

      exception

         when Argument_Error => null;  -- OK, expected exception.

         when others         =>

            Report.Failed("Incorrect exception raised by the Arctan "     &

                          "function when provided a -Pi cycle parameter " &

                          "value");

      end;

      -- Check that no exception is raised by the Arctan function with

      -- specified Cycle parameter, when provided large and small positive

      -- or negative parameter values for both Y and X input parameters.

      begin

         Float_Result := EF.Arctan(Y     => -FXA5A00.Large,

                                   X     => -FXA5A00.Large,

--pwb-math: Next line: changed 2.0*Pi to 360.0

                                   Cycle => 360.0);

         Dont_Optimize_Float(Float_Result, 14);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function with " &

                          "specified Cycle parameter, when provided large " &

                          "negative X and Y parameter values");

      end;

      begin

         New_Float_Result := GEF.Arctan(New_Float(FXA5A00.Large),

                                        X     => New_Float(-FXA5A00.Small),

--pwb-math: Next line: changed 2.0*Pi to 360.0

                                        Cycle => 360.0);

         Dont_Optimize_New_Float(New_Float_Result, 15);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function with "  &

                          "specified Cycle parameter, when provided large "  &

                          "positive Y parameter value and a small negative " &

                          "X parameter value");

      end;

      begin

         Float_Result := EF.Arctan(Y     => -FXA5A00.Small,

                                   X     => -FXA5A00.Large,

--pwb-math: Next line: changed 2.0*Pi to 360.0

                                   Cycle => 360.0);

         Dont_Optimize_Float(Float_Result, 16);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function with "  &

                          "specified Cycle parameter, when provided large "  &

                          "negative Y parameter value and a large negative " &

                          "X parameter value");

      end;

      begin

         New_Float_Result := GEF.Arctan(New_Float(FXA5A00.Small),

                                        New_Float(FXA5A00.Large),

--pwb-math: Next line: changed 2.0*Pi to 360.0

                                        360.0);

         Dont_Optimize_New_Float(New_Float_Result, 17);

      exception

         when others =>

            Report.Failed("Exception raised when the Arctan function with " &

                          "specified Cycle parameter, when provided a "     &

                          "small negative Y parameter value and a large "   &

                          "positive X parameter value");

      end;

      -- Check that the Arctan function with specified Cycle parameter

      -- provides correct results when provided a variety of Y parameter

      -- input values.

--pwb-math      if not FXA5A00.Result_Within_Range(EF.Arctan(Pi,    Cycle => 2.0*Pi),

--pwb-math                                         1.26,

--pwb-math                                         0.01)                            or

--pwb-math         not FXA5A00.Result_Within_Range(EF.Arctan(-Pi,   Cycle => 2.0*Pi),

--pwb-math                                         -1.26,

--pwb-math                                         0.01)                            or

--pwb-math         not FXA5A00.Result_Within_Range(GEF.Arctan(1.0,  Cycle => 2.0*Pi),

--pwb-math                                         0.785,

--pwb-math                                         0.001)                           or

--pwb-math         not FXA5A00.Result_Within_Range(EF.Arctan(-1.0,  Cycle => 2.0*Pi),

--pwb-math                                         -0.785,

--pwb-math                                         0.001)                           or

--pwb-math         not FXA5A00.Result_Within_Range(GEF.Arctan(0.16, Cycle => 2.0*Pi),

--pwb-math                                         0.159,

--pwb-math                                         0.001)                           or

--pwb-math         not FXA5A00.Result_Within_Range(EF.Arctan(1.0,   Cycle => 360.0),

--pwb-math                                         45.0,

--pwb-math                                         0.1)                             or

--pwb-math         not FXA5A00.Result_Within_Range(GEF.Arctan(1.0,  Cycle => 100.0),

--pwb-math                                         12.5,

--pwb-math                                         0.1)

--pwb-math  Next 12 lines are replacements for 21 commented lines above

      if not FXA5A00.Result_Within_Range(GEF.Arctan(1.0,  Cycle => 2.0*180.0),

                                         45.0,

                                         0.001)                           or

         not FXA5A00.Result_Within_Range(EF.Arctan(-1.0,  Cycle => 2.0*180.0),

                                         -45.0,

                                         0.001)                           or

         not FXA5A00.Result_Within_Range(EF.Arctan(1.0,   Cycle => 360.0),

                                         45.0,

                                         0.1)                             or

         not FXA5A00.Result_Within_Range(GEF.Arctan(1.0,  Cycle => 100.0),

                                         12.5,

                                         0.1)

      then

         Report.Failed("Incorrect results from the Arctan function with "   &

                       "specified Cycle parameter when provided a variety " &

                       "of Y parameter values");

      end if;

   exception

      when others => Report.Failed ("Exception raised in Test_Block");

   end Test_Block;

   Report.Result;

end CXA5A07;