cxa5a09.a

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-- CXA5A09.A
--
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--     F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained 
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--     released technical data and computer software in whole or in part, in 
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--                                    DISCLAIMER
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--     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 Log provides correct results.
--
-- TEST DESCRIPTION:
--      This test examines both the version of Log resulting from the 
--      instantiation of the Ada.Numerics.Generic_Elementary_Functions with 
--      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)
--         CXA5A09.A
--
--
-- CHANGE HISTORY:
--      11 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.
--      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 CXA5A09 is
begin

   Report.Test ("CXA5A09", "Check that the Log 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;

      Arg,
      Float_Result     : Float     := 0.0;
      New_Float_Result : New_Float := 0.0;

      Incorrect_Inverse,
      Incorrect_Inverse_Base_2,
      Incorrect_Inverse_Base_8,
      Incorrect_Inverse_Base_10,
      Incorrect_Inverse_Base_16  : Boolean   := False;

      procedure Dont_Optimize_Float     is new Dont_Optimize(Float);
      procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);

   begin

      -- Testing of Log Function, both instantiated and pre-instantiated
      -- version.

      -- Check that Argument_Error is raised when the parameter X is negative.

      begin
         New_Float_Result := GEF.Log(X => -1.0);
         Report.Failed("Argument_Error not raised by the Log function " &
                       "when the input parameter is negative");
         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 Log function " &
                          "when the input parameter is negative");
      end;

      begin
         Float_Result := EF.Log(X => -FXA5A00.Large);
         Report.Failed("Argument_Error not raised by the Log function " &
                       "when the input parameter is negative");
         Dont_Optimize_Float(Float_Result, 2);
      exception
         when Argument_Error => null; -- OK, expected exception.
         when others         =>
            Report.Failed("Unexpected exception raised by the Log function " &
                          "when the input parameter is negative");
      end;


      -- Check that Constraint_Error is raised when the Log function is 
      -- provided an input parameter of zero.

      if New_Float'Machine_Overflows = True then
         begin
            New_Float_Result := GEF.Log(X => 0.0);
            Report.Failed("Constraint_Error not raised by the Log function " &
                          "when the input parameter is zero");
            Dont_Optimize_New_Float(New_Float_Result, 3);
         exception
            when Constraint_Error => null; -- OK, expected exception.
            when others         =>
               Report.Failed("Unexpected exception raised by the Log function "
                             & "when the input parameter is zero");
         end;
      end if;
      

      -- Check for the reference manual prescribed results of the Log function.

      if GEF.Log(X => 1.0) /= 0.0 or
          EF.Log(X => 1.0) /= 0.0
      then
         Report.Failed("Incorrect result from Function Log when provided " &
                       "an input parameter value of 1.0");
      end if;


      -- Check that the Log function provides correct results when provided
      -- a variety of input parameters.

      if not FXA5A00.Result_Within_Range(GEF.Log(0.015),   -4.20,  0.01)  or
         not FXA5A00.Result_Within_Range(GEF.Log(0.592),   -0.524, 0.001) or
         not FXA5A00.Result_Within_Range(GEF.Log(0.997),   -0.003, 0.001) or
         not FXA5A00.Result_Within_Range(GEF.Log(1.341),    0.293, 0.001) or
         not FXA5A00.Result_Within_Range( EF.Log(2.826),    1.04,  0.01)  or
         not FXA5A00.Result_Within_Range( EF.Log(10.052),   2.31,  0.01)  or
         not FXA5A00.Result_Within_Range( EF.Log(2569.143), 7.85,  0.01)
      then
         Report.Failed("Incorrect results from Function Log when provided " &
                       "a variety of input parameter values");
      end if;

      Arg := 0.001;
      while Arg < 1.0 and not Incorrect_Inverse loop
         if not Result_Within_Range(EF."**"(e,EF.Log(Arg)), Arg, 0.001) then
            Incorrect_Inverse := True;
         end if;
         Arg := Arg + 0.001;
      end loop;

      if Incorrect_Inverse then
         Report.Failed("Incorrect inverse result comparing ""**"" and " &
                       "Log function over argument range 0.001..1.0");
         Incorrect_Inverse := False;
      end if;

      Arg := 1.0;
      while Arg < 10.0 and not Incorrect_Inverse loop
         if not Result_Within_Range(EF."**"(e,EF.Log(Arg)), Arg, 0.01) then
            Incorrect_Inverse := True;
         end if;
         Arg := Arg + 0.01;
      end loop;

      if Incorrect_Inverse then
         Report.Failed("Incorrect inverse result comparing ""**"" and " &
                       "Log function over argument range 1.0..10.0");
         Incorrect_Inverse := False;
      end if;

      Arg := 1.0;
      while Arg < 1000.0 and not Incorrect_Inverse loop
         if not Result_Within_Range(EF."**"(e,EF.Log(Arg)), Arg, 0.1) then
            Incorrect_Inverse := True;
         end if;
         Arg := Arg + 1.0;
      end loop;

      if Incorrect_Inverse then