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-- CXA5A01.A

--

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--     DISCLOSED ARE AS IS.  THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED

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--*

--

-- OBJECTIVE:

--      Check that the functions Sin and Sinh provide correct results.

--

-- TEST DESCRIPTION:

--      This test examines both the version of Sin and Sinh 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, as well as 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)

--         CXA5A01.A

--

--

-- CHANGE HISTORY:

--      06 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.

--      26 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 CXA5A01 is

begin

   Report.Test ("CXA5A01", "Check that the functions Sin and Sinh 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 Sin Function, both instantiated and pre-instantiated

      -- version.

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

      -- large (positive and negative) input values.

      begin

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

         Dont_Optimize_New_Float(New_Float_Result, 1);

      exception

         when others =>

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

                         "positive value");

      end;

      begin

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

         Dont_Optimize_Float(The_Result, 2);

      exception

         when others =>

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

                         "negative value");

      end;

      -- Test of Sin for prescribed result at zero.

      if GEF.Sin (0.0) /= 0.0 or

          EF.Sin (0.0) /= 0.0

      then

         Report.Failed("Incorrect value returned from Sin(0.0)");

      end if;

      -- Test of Sin with expected result value between 0.0 and 1.0.

      if not (GEF.Sin (Ada.Numerics.Pi/4.0) < 1.0)                    or

         not ( EF.Sin (Ada.Numerics.Pi/4.0) < 1.0)                    or

         not FXA5A00.Result_Within_Range(GEF.Sin(0.35), 0.343, 0.001) or

         not FXA5A00.Result_Within_Range( EF.Sin(1.18), 0.924, 0.001)

      then

         Report.Failed("Incorrect value returned from Sin function when " &

                       "the expected result is between 0.0 and 1.0");

      end if;

      -- Test of Sin with expected result value between -1.0 and 0.0.

      if not (GEF.Sin (-Ada.Numerics.Pi/4.0) > -1.0)                    or

         not ( EF.Sin (-Ada.Numerics.Pi/4.0) > -1.0)                    or

         not FXA5A00.Result_Within_Range(GEF.Sin(-0.24), -0.238, 0.001) or

         not FXA5A00.Result_Within_Range( EF.Sin(-1.00), -0.841, 0.001)

      then

         Report.Failed("Incorrect value returned from Sin function when " &

                       "the expected result is between -1.0 and 0.0");

      end if;

      -- Testing of the Sin function with Cycle parameter.

      -- Check that Argument_Error is raised when the value of the Cycle

      -- parameter is zero.

      begin

         New_Float_Result := GEF.Sin (X => 1.0, Cycle => 0.0);

         Report.Failed("Argument_Error not raised by GEF.Sin function " &

                       "when the Cycle parameter is zero");

         Dont_Optimize_New_Float(New_Float_Result, 3);

      exception

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

         when others =>

            Report.Failed("Unexpected exception raised by GEF.Sin function " &

                          "when the Cycle parameter is zero");

      end;

      begin

         The_Result := EF.Sin (X => 0.34, Cycle => 0.0);

         Report.Failed("Argument_Error not raised by EF.Sin function when " &

                       "the Cycle parameter is zero");

         Dont_Optimize_Float(The_Result, 4);

      exception

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

         when others =>

            Report.Failed("Unexpected exception raised by EF.Sin function " &

                          "when the Cycle parameter is zero");

      end;

      -- Check that Argument_Error is raised when the value of the Cycle

      -- parameter is negative.

      begin

         New_Float_Result := GEF.Sin (X => 0.45, Cycle => -1.0);

         Report.Failed("Argument_Error not raised by GEF.Sin function " &

                       "when the Cycle parameter is negative");

         Dont_Optimize_New_Float(New_Float_Result, 5);

      exception

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

         when others =>

            Report.Failed("Unexpected exception raised by GEF.Sin function " &

                          "when the Cycle parameter is negative");

      end;

      begin

         The_Result := EF.Sin (X => 0.10, Cycle => -4.0);

         Report.Failed("Argument_Error not raised by EF.Sin function when " &

                       "the Cycle parameter is negative");

         Dont_Optimize_Float(The_Result, 6);

      exception

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

         when others =>

            Report.Failed("Unexpected exception raised by EF.Sin function " &

                          "when the Cycle parameter is negative");

      end;

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

      -- large (positive and negative) input values and Cycle parameter.

      begin

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

         Dont_Optimize_New_Float(New_Float_Result, 7);

      exception

         when others =>

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

                         "positive value and Cycle parameter");

      end;

      begin

         The_Result := EF.Sin (FXA5A00.Minus_Large, 720.0);

         Dont_Optimize_Float(The_Result, 8);

      exception

         when others =>

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

                         "negative value and Cycle parameter");

      end;

      -- Test of Sin with Cycle parameter for prescribed result at zero.

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

          EF.Sin (0.0, 180.0) /= 0.0

      then

         Report.Failed("Incorrect value returned from Sin function with " &

                       "cycle parameter for a zero input parameter value");

      end if;

      -- Tests of Sin function with Cycle parameter for prescribed results.

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

          EF.Sin(180.0, 360.0) /=  0.0 or

         GEF.Sin(90.0,  360.0) /=  1.0 or

          EF.Sin(450.0, 360.0) /=  1.0 or

         GEF.Sin(270.0, 360.0) /= -1.0 or

          EF.Sin(630.0, 360.0) /= -1.0

      then

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

                       "various cycle values for prescribed results");

      end if;

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

      -- version.

      -- Test for Constraint_Error on parameter with large positive magnitude.

      begin

         if New_Float'Machine_Overflows then

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

            Report.Failed("Constraint_Error not raised when the GEF.Sinh " &

                          "function is provided a parameter with a large " &

                          "positive value");

            Dont_Optimize_New_Float(New_Float_Result, 9);

         end if;

      exception

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

         when others           =>

            Report.Failed("Constraint_Error not raised when the GEF.Sinh " &

                          "function is provided a parameter with a large " &

                          "positive value");

      end;

      -- Test for Constraint_Error on parameter with large negative magnitude.

      begin

         if Float'Machine_Overflows then

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

            Report.Failed("Constraint_Error not raised when the EF.Sinh " &

                          "function is provided a parameter with a "      &

                          "large negative value");

            Dont_Optimize_Float(The_Result, 10);

         end if;

      exception

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

         when others           =>

            Report.Failed("Constraint_Error not raised when the EF.Sinh " &

                          "function is provided a parameter with a "      &

                          "large negative value");

      end;

      -- Test that no exception occurs when the Sinh function is provided a

      -- very small positive or negative value.

      begin

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

         Dont_Optimize_New_Float(New_Float_Result, 11);

      exception

         when others =>

            Report.Failed("Unexpected exception on GEF.Sinh with a very" &

                          "small positive value");

      end;

      begin

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

         Dont_Optimize_Float(The_Result, 12);

      exception

         when others =>

            Report.Failed("Unexpected exception on EF.Sinh with a very" &

                          "small negative value");

      end;

      -- Test for prescribed 0.0 result of Function Sinh with 0.0 parameter.

      if GEF.Sinh (0.0) /= 0.0 or

          EF.Sinh (0.0) /= 0.0

      then

         Report.Failed("Incorrect value returned from Sinh(0.0)");

      end if;

      -- Test of Sinh function with various input parameters.

      if not FXA5A00.Result_Within_Range(GEF.Sinh(0.01),  0.010, 0.001) or

         not FXA5A00.Result_Within_Range( EF.Sinh(0.61),  0.649, 0.001) or

         not FXA5A00.Result_Within_Range(GEF.Sinh(1.70),  2.65,  0.01) or

         not FXA5A00.Result_Within_Range( EF.Sinh(3.15), 11.65,  0.01)

      then

         Report.Failed("Incorrect result returned from Sinh function " &

                       "with various input parameters");

      end if;

   exception

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

   end Test_Block;

   Report.Result;

end CXA5A01;