| -- CXA5A09.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 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 |
| Report.Failed("Incorrect inverse result comparing ""**"" and " & |
| "Log function over argument range 1.0..1000.0"); |
| end if; |
| |
| |
| -- Testing of Log Function, with specified Base parameter, both |
| -- instantiated and pre-instantiated versions. |
| |
| -- Check that Argument_Error is raised by the Log function with |
| -- specified Base parameter, when the X parameter value is negative. |
| |
| begin |
| New_Float_Result := GEF.Log(X => -1.0, Base => 16.0); |
| Report.Failed("Argument_Error not raised by the Log function " & |
| "with Base parameter, when the input parameter " & |
| "value is -1.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 4); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Log function " & |
| "with Base parameter, when the X parameter value " & |
| "is -1.0"); |
| end; |
| |
| begin |
| Float_Result := EF.Log(X => -FXA5A00.Large, Base => 8.0); |
| Report.Failed("Argument_Error not raised by the Log function " & |
| "with Base parameter, when the X parameter " & |
| "value is a large negative value"); |
| Dont_Optimize_Float(Float_Result, 5); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Log function " & |
| "with Base parameter, when the X parameter " & |
| "value is a large negative value"); |
| end; |
| |
| |
| -- Check that Argument_Error is raised by the Log function when |
| -- the specified Base parameter is zero. |
| |
| begin |
| New_Float_Result := GEF.Log(X => 10.0, Base => 0.0); |
| Report.Failed("Argument_Error not raised by the Log function " & |
| "with Base parameter of 0.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 6); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Log function " & |
| "with Base parameter of 0.0"); |
| end; |
| |
| |
| -- Check that Argument_Error is raised by the Log function when |
| -- the specified Base parameter is one. |
| |
| begin |
| Float_Result := EF.Log(X => 12.3, Base => 1.0); |
| Report.Failed("Argument_Error not raised by the Log function " & |
| "with Base parameter of 1.0"); |
| Dont_Optimize_Float(Float_Result, 7); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Log function " & |
| "with Base parameter of 1.0"); |
| end; |
| |
| |
| -- Check that Argument_Error is raised by the Log function when |
| -- the specified Base parameter is negative. |
| |
| begin |
| New_Float_Result := GEF.Log(X => 12.3, Base => -10.0); |
| Report.Failed("Argument_Error not raised by the Log function " & |
| "with negative Base parameter"); |
| Dont_Optimize_New_Float(New_Float_Result, 8); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Log function " & |
| "with negative Base parameter"); |
| end; |
| |
| |
| -- Check that Constraint_Error is raised by the Log function when the |
| -- input X parameter value is 0.0. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Log(X => 0.0, Base => 16.0); |
| Report.Failed("Constraint_Error not raised by the Log function " & |
| "with specified Base parameter, when the value of " & |
| "the parameter X is 0.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 9); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by Function Log" & |
| "with specified Base parameter, when the value " & |
| "of the parameter X is 0.0"); |
| end; |
| end if; |
| |
| -- Check for the prescribed results of the Log function with specified |
| -- Base parameter. |
| |
| if GEF.Log(X => 1.0, Base => 16.0) /= 0.0 or |
| EF.Log(X => 1.0, Base => 10.0) /= 0.0 or |
| GEF.Log(1.0, Base => 8.0) /= 0.0 or |
| EF.Log(1.0, 2.0) /= 0.0 |
| then |
| Report.Failed("Incorrect result from Function Log with specified " & |
| "Base parameter when provided an parameter X input " & |
| "value of 1.0"); |
| end if; |
| |
| |
| -- Check that the Log function with specified Base parameter provides |
| -- correct results when provided a variety of input parameters. |
| |
| if not Result_Within_Range(GEF.Log( 10.0, e), 2.30, 0.01) or |
| not Result_Within_Range( EF.Log( 8.0, 2.0), 3.0, 0.01) or |
| not Result_Within_Range(GEF.Log(256.0, 2.0), 8.0, 0.01) or |
| not Result_Within_Range( EF.Log(512.0, 8.0), 3.0, 0.01) or |
| not Result_Within_Range(GEF.Log(0.5649, e), -0.57, 0.01) or |
| not Result_Within_Range( EF.Log(1.7714, e), 0.57, 0.01) or |
| not Result_Within_Range(GEF.Log(0.5718, 10.0), -0.243, 0.001) or |
| not Result_Within_Range( EF.Log(466.25, 10.0), 2.67, 0.01) |
| then |
| Report.Failed("Incorrect results from Function Log with specified " & |
| "Base parameter, when provided a variety of input " & |
| "parameter values"); |
| end if; |
| |
| |
| Arg := 1.0; |
| while Arg < 1000.0 and |
| not (Incorrect_Inverse_Base_2 and Incorrect_Inverse_Base_8 and |
| Incorrect_Inverse_Base_10 and Incorrect_Inverse_Base_16) |
| loop |
| if not FXA5A00.Result_Within_Range(EF."**"(2.0,EF.Log(Arg,2.0)), |
| Arg, |
| 0.001) |
| then |
| Incorrect_Inverse_Base_2 := True; |
| end if; |
| if not FXA5A00.Result_Within_Range(EF."**"(8.0,EF.Log(Arg,8.0)), |
| Arg, |
| 0.001) |
| then |
| Incorrect_Inverse_Base_8 := True; |
| end if; |
| if not FXA5A00.Result_Within_Range(EF."**"(10.0,EF.Log(Arg,10.0)), |
| Arg, |
| 0.001) |
| then |
| Incorrect_Inverse_Base_10 := True; |
| end if; |
| if not FXA5A00.Result_Within_Range(EF."**"(16.0,EF.Log(Arg,16.0)), |
| Arg, |
| 0.001) |
| then |
| Incorrect_Inverse_Base_16 := True; |
| end if; |
| Arg := Arg + 1.0; |
| end loop; |
| |
| if Incorrect_Inverse_Base_2 then |
| Report.Failed("Incorrect inverse result comparing ""**"" and " & |
| "Log function for Base 2"); |
| end if; |
| |
| if Incorrect_Inverse_Base_8 then |
| Report.Failed("Incorrect inverse result comparing ""**"" and " & |
| "Log function for Base 8"); |
| end if; |
| |
| if Incorrect_Inverse_Base_10 then |
| Report.Failed("Incorrect inverse result comparing ""**"" and " & |
| "Log function for Base 10"); |
| end if; |
| |
| if Incorrect_Inverse_Base_16 then |
| Report.Failed("Incorrect inverse result comparing ""**"" and " & |
| "Log function for Base 16"); |
| end if; |
| |
| |
| exception |
| when others => Report.Failed ("Exception raised in Test_Block"); |
| end Test_Block; |
| |
| Report.Result; |
| |
| end CXA5A09; |
