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-- CXA5A03.A

--

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--                                    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

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--     OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A

--     PARTICULAR PURPOSE OF SAID MATERIAL.

--*

--

-- OBJECTIVE:

--      Check that the functions Tan, Tanh, and Arctanh provide correct

--      results.

--

-- TEST DESCRIPTION:

--      This test examines both the version of Tan, Tanh, and Arctanh

--      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)

--         CXA5A03.A

--

--

-- CHANGE HISTORY:

--      14 Mar 95   SAIC    Initial prerelease version.

--      06 Apr 95   SAIC    Corrected errors in context clause references

--                          and usage 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.

--      29 Jun 98   EDS     Protected exception tests by first testing

--                          for 'Machine_Overflows

--

--!

with Ada.Numerics.Elementary_Functions;

with Ada.Numerics.Generic_Elementary_Functions;

with FXA5A00;

with Report;

procedure CXA5A03 is

begin

   Report.Test ("CXA5A03", "Check that the functions Tan, Tanh, and " &

                           "Arctanh 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 Tan Function, both instantiated and pre-instantiated

      -- version.

      -- Check that no exception occurs on computing the Tan with very

      -- large (positive and negative) input values.

      begin

         New_Float_Result := GEF.Tan (New_Float(FXA5A00.Large));

         Dont_Optimize_New_Float(New_Float_Result, 1);

      exception

         when others =>

           Report.Failed("Unexpected exception on GEF.Tan with large " &

                         "positive value");

      end;

      begin

         The_Result := EF.Tan (FXA5A00.Minus_Large);

         Dont_Optimize_Float(The_Result, 2);

      exception

         when others =>

           Report.Failed("Unexpected exception on EF.Tan with large " &

                         "negative value");

      end;

      -- Check that no exception occurs on computing the Tan with very

      -- small (positive and negative) input values.

      begin

         New_Float_Result := GEF.Tan (New_Float(FXA5A00.Small));

         Dont_Optimize_New_Float(New_Float_Result, 3);

      exception

         when others =>

           Report.Failed("Unexpected exception on GEF.Tan with small " &

                         "positive value");

      end;

      begin

         The_Result := EF.Tan (-FXA5A00.Small);

         Dont_Optimize_Float(The_Result, 4);

      exception

         when others =>

           Report.Failed("Unexpected exception on EF.Tan with small " &

                         "negative value");

      end;

      -- Check prescribed result from Tan function.  When the parameter X

      -- has the value zero, the Tan function yields a result of zero.

      if GEF.Tan(0.0) /= 0.0 or

          EF.Tan(0.0) /= 0.0

      then

         Report.Failed("Incorrect result from Tan function with zero " &

                       "value input parameter");

      end if;

      -- Check the results of the Tan function with various input parameters.

      if not (Result_Within_Range(GEF.Tan(0.7854), 1.0,   0.001)  and

              Result_Within_Range(GEF.Tan(0.8436), 1.124, 0.001)  and

              Result_Within_Range( EF.Tan(Pi),     0.0,   0.001)  and

              Result_Within_Range( EF.Tan(-Pi),    0.0,   0.001)  and

              Result_Within_Range(GEF.Tan(0.5381), 0.597, 0.001)  and

              Result_Within_Range( EF.Tan(0.1978), 0.200, 0.001))

      then

         Report.Failed("Incorrect result from Tan function with various " &

                       "input parameters");

      end if;

      -- Testing of Tan function with cycle parameter.

      -- Check that Constraint_Error is raised by the Tan function with

      -- specified cycle, when the value of the parameter X is an odd

      -- multiple of the quarter cycle.

      if New_Float'Machine_Overflows = True then

         begin

            New_Float_Result := GEF.Tan(270.0, 360.0);

            Report.Failed("Constraint_Error not raised by GEF.Tan on odd " &

                          "multiple of the quarter cycle");

            Dont_Optimize_New_Float(New_Float_Result, 5);

         exception

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

            when others =>

            Report.Failed("Unexpected exception raised by GEF.Tan on odd " &

                          "multiple of the quarter cycle");

         end;

      end if;

      -- Check that the exception Numerics.Argument_Error is raised, when

      -- the value of the parameter Cycle is zero or negative.

      begin

         New_Float_Result := GEF.Tan(X => 1.0, Cycle => -360.0);

         Report.Failed("Argument_Error not raised by GEF.Tan when Cycle " &

                       "parameter has negative value");

         Dont_Optimize_New_Float(New_Float_Result, 6);

      exception

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

         when others =>

         Report.Failed("Unexpected exception raised by GEF.Tan when Cycle " &

                       "parameter has negative value");

      end;

      begin

         The_Result := EF.Tan(1.0, Cycle => 0.0);

         Report.Failed("Argument_Error not raised by GEF.Tan when Cycle " &

                       "parameter has a zero value");

         Dont_Optimize_Float(The_Result, 7);

      exception

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

         when others =>

         Report.Failed("Unexpected exception raised by EF.Tan when Cycle " &

                       "parameter has a zero value");

      end;

      -- Check that no exception occurs on computing the Tan with very

      -- large (positive and negative) input values.

      begin

         New_Float_Result := GEF.Tan (New_Float(FXA5A00.Large), 360.0);

         Dont_Optimize_New_Float(New_Float_Result, 8);

      exception

         when others =>

           Report.Failed("Unexpected exception on GEF.Tan with large " &

                         "positive value");

      end;

      begin

         The_Result := EF.Tan (FXA5A00.Minus_Large, Cycle => 360.0);

         Dont_Optimize_Float(The_Result, 9);

      exception

         when others =>

           Report.Failed("Unexpected exception on EF.Tan with large " &

                         "negative value");

      end;

      -- Check prescribed result from Tan function with Cycle parameter.

      if GEF.Tan(0.0, 360.0)          /= 0.0 or

          EF.Tan(0.0, Cycle => 360.0) /= 0.0

      then

         Report.Failed("Incorrect result from Tan function with cycle " &

                       "parameter, using a zero value input parameter");

      end if;

      -- Check the Tan function, with specified Cycle parameter, with a

      -- variety of input parameters.

      if not Result_Within_Range(GEF.Tan(30.0,  360.0),  0.577, 0.001) or

         not Result_Within_Range( EF.Tan(57.0,  360.0),  1.540, 0.001) or

         not Result_Within_Range(GEF.Tan(115.0, 360.0), -2.145, 0.001) or

         not Result_Within_Range( EF.Tan(299.0, 360.0), -1.804, 0.001) or

         not Result_Within_Range(GEF.Tan(390.0, 360.0),  0.577, 0.001) or

         not Result_Within_Range( EF.Tan(520.0, 360.0), -0.364, 0.001)

      then

         Report.Failed("Incorrect result from the Tan function with "   &

                       "cycle parameter, with various input parameter " &

                       "values");

      end if;

      -- Testing of Tanh Function, both instantiated and pre-instantiated

      -- version.

      -- Check that no exception occurs on computing the Tan with very

      -- large (positive and negative) input values.

      begin

         New_Float_Result := GEF.Tanh (New_Float(FXA5A00.Large));

         Dont_Optimize_New_Float(New_Float_Result, 10);

      exception

         when others =>

           Report.Failed("Unexpected exception on GEF.Tanh with large " &

                         "positive value");

      end;

      begin

         The_Result := EF.Tanh (FXA5A00.Minus_Large);

         Dont_Optimize_Float(The_Result, 11);

      exception

         when others =>

           Report.Failed("Unexpected exception on EF.Tanh with large " &

                         "negative value");

      end;

      -- Check for prescribed result of Tanh with zero value input parameter.

      if GEF.Tanh (0.0) /= 0.0 or

          EF.Tanh (0.0) /= 0.0

      then

         Report.Failed("Incorrect result from Tanh with zero parameter");

      end if;

      -- Check the results of the Tanh function with various input

      -- parameters.

      if not (FXA5A00.Result_Within_Range(GEF.Tanh(2.99),   0.995, 0.001)  and

              FXA5A00.Result_Within_Range(GEF.Tanh(0.130),  0.129, 0.001)  and

              FXA5A00.Result_Within_Range( EF.Tanh(Pi),     0.996, 0.001)  and

              FXA5A00.Result_Within_Range( EF.Tanh(-Pi),   -0.996, 0.001)  and

              FXA5A00.Result_Within_Range(GEF.Tanh(0.60),   0.537, 0.001)  and

              FXA5A00.Result_Within_Range( EF.Tanh(1.04),   0.778, 0.001)  and

              FXA5A00.Result_Within_Range(GEF.Tanh(1.55),   0.914, 0.001)  and

              FXA5A00.Result_Within_Range( EF.Tanh(-2.14), -0.973, 0.001))

      then

         Report.Failed("Incorrect result from Tanh function with various " &

                       "input parameters");

      end if;

      -- Testing of Arctanh Function, both instantiated and pre-instantiated

      -- version.

      -- Check that Constraint_Error is raised by the Arctanh function

      -- when the absolute value of the parameter X is one.

      if New_Float'Machine_Overflows = True then

         begin

            New_Float_Result := GEF.Arctanh(X =>  1.0);

            Report.Failed("Constraint_Error not raised by Function Arctanh " &

                          "when provided a parameter value of 1.0");

            Dont_Optimize_New_Float(New_Float_Result, 12);

         exception

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

            when others           =>

               Report.Failed("Unexpected exception raised by Function Arctanh "

                             & "when provided a parameter value of 1.0");

         end;

      end if;

      if Float'Machine_Overflows = True then

         begin

            The_Result := EF.Arctanh(-1.0);

            Report.Failed("Constraint_Error not raised by Function Arctanh " &

                          "when provided a parameter value of -1.0");

            Dont_Optimize_Float(The_Result, 13);

         exception

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

            when others           =>

               Report.Failed("Unexpected exception raised by Function Arctanh "

                             & "when provided a parameter value of -1.0");

         end;

      end if;

      -- Check that Function Arctanh raises Argument_Error when the absolute

      -- value of the parameter X exceeds one.

      begin

         New_Float_Result := GEF.Arctanh(New_Float(FXA5A00.One_Plus_Delta));

         Report.Failed("Argument_Error not raised by Function Arctanh " &

                       "when provided a parameter value greater than 1.0");

         Dont_Optimize_New_Float(New_Float_Result, 14);

      exception

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

         when others           =>

            Report.Failed("Unexpected exception raised by Function Arctanh " &

                          "when provided a parameter value greater than 1.0");

      end;

      begin

         The_Result := EF.Arctanh(FXA5A00.Minus_One_Minus_Delta);

         Report.Failed("Argument_Error not raised by Function Arctanh " &

                       "when provided a parameter value less than -1.0");

         Dont_Optimize_Float(The_Result, 15);

      exception

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

         when others           =>

            Report.Failed("Unexpected exception raised by Function Arctanh " &

                          "when provided a parameter value less than -1.0");

      end;

      begin

         New_Float_Result := GEF.Arctanh(New_Float(FXA5A00.Large));

         Report.Failed("Argument_Error not raised by Function Arctanh " &

                       "when provided a large positive parameter value");

         Dont_Optimize_New_Float(New_Float_Result, 16);

      exception

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

         when others           =>

            Report.Failed("Unexpected exception raised by Function Arctanh " &

                          "when provided a large positive parameter value");

      end;

      begin

         The_Result := EF.Arctanh(FXA5A00.Minus_Large);

         Report.Failed("Argument_Error not raised by Function Arctanh " &

                       "when provided a large negative parameter value");

         Dont_Optimize_Float(The_Result, 17);

      exception

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

         when others           =>

            Report.Failed("Unexpected exception raised by Function Arctanh " &

                          "when provided a large negative parameter value");

      end;

      -- Prescribed results for Function Arctanh with zero input value.

      if GEF.Arctanh(0.0) /= 0.0 or

          EF.Arctanh(0.0) /= 0.0

      then

         Report.Failed("Incorrect result from Function Arctanh with a " &

                       "parameter value of zero");

      end if;

      -- Check the results of the Arctanh function with various input

      -- parameters.

      if not (Result_Within_Range(GEF.Arctanh(0.15), 0.151, 0.001)  and

              Result_Within_Range( EF.Arctanh(0.44), 0.472, 0.001)  and

              Result_Within_Range(GEF.Arctanh(0.81), 1.127, 0.001)  and

              Result_Within_Range( EF.Arctanh(0.99), 2.647, 0.001))

      then

         Report.Failed("Incorrect result from Arctanh function with " &

                       "various input parameters");

      end if;

   exception

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

   end Test_Block;

   Report.Result;

end CXA5A03;