| -- CXA5A08.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 Arccot provides correct results. |
| -- |
| -- TEST DESCRIPTION: |
| -- This test examines both the version of Arccot 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) |
| -- CXA5A08.A |
| -- |
| -- |
| -- CHANGE HISTORY: |
| -- 06 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. |
| -- 18 Apr 96 SAIC Incorporated reviewer comments for ACVC 2.1. |
| -- 28 Feb 97 CTA.PWB 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.Exceptions; |
| with Ada.Numerics.Elementary_Functions; |
| with Ada.Numerics.Generic_Elementary_Functions; |
| with FXA5A00; |
| with Report; |
| |
| procedure CXA5A08 is |
| begin |
| |
| Report.Test ("CXA5A08", "Check that the Arccot function provides " & |
| "correct results"); |
| |
| Test_Block: |
| declare |
| |
| use Ada.Exceptions; |
| 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; |
| Angle : Float; |
| New_Float_Result : New_Float; |
| New_Float_Angle : New_Float; |
| Incorrect_Inverse : 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 Arccot Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that Argument_Error is raised by the Arccot function when |
| -- provided parameter values of 0.0, 0.0. |
| |
| begin |
| New_Float_Result := GEF.Arccot(X => 0.0, Y => 0.0); |
| Report.Failed("Argument_Error not raised when the Arccot " & |
| "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 Arccot " & |
| "function when provided 0.0, 0.0 input parameters"); |
| end; |
| |
| |
| -- Check that no exception is raised by the Arccot function when |
| -- provided a large positive or negative X parameter value, when |
| -- using the default value for parameter Y. |
| |
| begin |
| Float_Result := EF.Arccot(X => FXA5A00.Large); |
| Dont_Optimize_Float(Float_Result, 2); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a large positive X parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Large)); |
| Dont_Optimize_New_Float(New_Float_Result, 3); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a large negative X parameter value"); |
| end; |
| |
| |
| -- Check that no exception is raised by the Arccot function when |
| -- provided a small positive or negative X parameter value, when |
| -- using the default value for parameter Y. |
| |
| begin |
| Float_Result := EF.Arccot(X => FXA5A00.Small); |
| Dont_Optimize_Float(Float_Result, 4); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a small positive X parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Small)); |
| Dont_Optimize_New_Float(New_Float_Result, 5); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a small negative X parameter value"); |
| end; |
| |
| |
| -- Check that no exception is raised by the Arccot function when |
| -- provided combinations of large and small positive or negative |
| -- parameter values for both X and Y input parameters. |
| |
| begin |
| Float_Result := EF.Arccot(X => FXA5A00.Large, Y => FXA5A00.Large); |
| Dont_Optimize_Float(Float_Result, 6); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided large positive X and Y parameter values"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(New_Float(-FXA5A00.Large), |
| Y => New_Float(FXA5A00.Small)); |
| Dont_Optimize_New_Float(New_Float_Result, 7); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a large negative X parameter value " & |
| "and a small positive Y parameter value"); |
| end; |
| |
| |
| begin |
| Float_Result := EF.Arccot(X => FXA5A00.Small, Y => FXA5A00.Large); |
| Dont_Optimize_Float(Float_Result, 8); |
| exception |
| when others => |
| Report.Failed("Exception raised when the Arccot function is " & |
| "provided a small positive X parameter value " & |
| "and a large positive Y parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(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 Arccot function is " & |
| "provided a small negative X parameter value " & |
| "and a large negative Y parameter value"); |
| end; |
| |
| |
| -- Check that when the Arccot 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 EF.Arccot(X => FXA5A00.Large, Y => 0.0) /= 0.0 or |
| GEF.Arccot(2.0*Pi, Y => 0.0) /= 0.0 or |
| EF.Arccot(FXA5A00.Small, 0.0) /= 0.0 or |
| EF.Arccot(X => FXA5A00.Large, Y => 0.0, Cycle => 360.0) /= 0.0 or |
| GEF.Arccot(2.0*Pi, Y => 0.0, Cycle => 360.0) /= 0.0 or |
| EF.Arccot(FXA5A00.Small, 0.0, Cycle => 360.0) /= 0.0 |
| then |
| Report.Failed("Incorrect results from the Arccot function when " & |
| "provided a Y parameter value of 0.0 and various " & |
| "positive X parameter values"); |
| end if; |
| |
| |
| -- Check that the Arccot function provides correct results when |
| -- provided a variety of X parameter values. |
| |
| if not Result_Within_Range( EF.Arccot( 1.0), Pi/4.0, 0.001) or |
| not Result_Within_Range(GEF.Arccot( 0.0), Pi/2.0, 0.001) or |
| not Result_Within_Range( EF.Arccot(-1.0), 3.0*Pi/4.0, 0.001) |
| then |
| Report.Failed("Incorrect results from the Arccot function when " & |
| "provided a variety of Y parameter values"); |
| end if; |
| |
| |
| -- Check the results of the Arccot function with specified cycle |
| -- parameter. |
| |
| -- Check that the Arccot function with specified Cycle parameter |
| -- raises Argument_Error when the value of the Cycle parameter is zero |
| -- or negative. |
| |
| begin |
| Float_Result := EF.Arccot(X => Pi, Cycle => 0.0); -- Default Y value |
| Report.Failed("Argument_Error not raised by the Arccot function " & |
| "with default Y 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 Arccot " & |
| "function with default Y parameter value, when " & |
| "provided a 0.0 cycle parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => 0.0); |
| Report.Failed("Argument_Error not raised by the Arccot 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 Arccot " & |
| "function when provided a 0.0 cycle parameter " & |
| "value"); |
| end; |
| |
| begin |
| Float_Result := EF.Arccot(X => Pi, Cycle => -360.0); |
| Report.Failed("Argument_Error not raised by the Arccot function " & |
| "with a default Y 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 Arccot " & |
| "function with a default Y parameter value, when " & |
| "provided a -360.0 cycle parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => -Pi); |
| Report.Failed("Argument_Error not raised by the Arccot 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 Arccot " & |
| "function when provided a -Pi cycle parameter " & |
| "value"); |
| end; |
| |
| |
| -- Check that no exception is raised by the Arccot function with |
| -- specified Cycle parameter, when provided large and small positive |
| -- or negative parameter values for both X and Y input parameters. |
| |
| begin |
| Float_Result := EF.Arccot(X => -FXA5A00.Large, |
| Y => -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 Arccot function with " & |
| "specified Cycle parameter, when provided large " & |
| "negative X and Y parameter values"); |
| end; |
| |
| |
| begin |
| New_Float_Result := GEF.Arccot(New_Float(FXA5A00.Large), |
| Y => 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 Arccot function with " & |
| "specified Cycle parameter, when provided large " & |
| "positive X parameter value and a small negative " & |
| "Y parameter value"); |
| end; |
| |
| |
| begin |
| Float_Result := EF.Arccot(X => -FXA5A00.Small, |
| Y => -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 Arccot function with " & |
| "specified Cycle parameter, when provided small " & |
| "negative X parameter value and a large negative " & |
| "Y parameter value"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccot(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 Arccot function with " & |
| "specified Cycle parameter, when provided a " & |
| "small positive X parameter value and a large " & |
| "positive Y parameter value"); |
| end; |
| |
| |
| -- Check that the Arccot function with specified Cycle parameter |
| -- provides correct results when provided a variety of X parameter |
| -- input values. |
| |
| if not FXA5A00.Result_Within_Range(GEF.Arccot( 0.0, Cycle => 360.0), |
| 90.0, |
| 0.001) or |
| not FXA5A00.Result_Within_Range(EF.Arccot( 0.0, Cycle => 100.0), |
| 25.0, |
| 0.001) or |
| not FXA5A00.Result_Within_Range(GEF.Arccot( 1.0, Cycle => 360.0), |
| 45.0, |
| 0.001) or |
| not FXA5A00.Result_Within_Range(EF.Arccot( 1.0, Cycle => 100.0), |
| 12.5, |
| 0.001) or |
| not FXA5A00.Result_Within_Range(GEF.Arccot(-1.0, Cycle => 360.0), |
| 135.0, |
| 0.001) or |
| not FXA5A00.Result_Within_Range(EF.Arccot(-1.0, Cycle => 100.0), |
| 37.5, |
| 0.001) |
| then |
| Report.Failed("Incorrect results from the Arccot function with " & |
| "specified Cycle parameter when provided a variety " & |
| "of X parameter values"); |
| end if; |
| |
| |
| if not FXA5A00.Result_Within_Range(EF.Arccot(0.2425355, 0.9701420), |
| EF.Arccot(0.25), |
| 0.01) or |
| not FXA5A00.Result_Within_Range(EF.Arccot(0.3162277, 0.9486831), |
| Ef.Arccot(0.33), |
| 0.01) |
| then |
| Report.Failed("Incorrect results from the Arccot function with " & |
| "comparison to other Arccot function results"); |
| end if; |
| |
| |
| if not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.4472135, |
| 0.8944270)), |
| 0.5, |
| 0.01) or |
| not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.9987380, |
| 0.0499369)), |
| 20.0, |
| 0.1) |
| then |
| Report.Failed("Incorrect results from the Arccot function when " & |
| "used as argument to Cot function"); |
| end if; |
| |
| |
| -- Check that inverse function results are correct. |
| -- Default Cycle test. |
| |
| Angle := 0.001; |
| while Angle < Pi and not Incorrect_Inverse loop |
| if not Result_Within_Range(EF.Arccot(EF.Cot(Angle)), Angle, 0.001) |
| then |
| Incorrect_Inverse := True; |
| end if; |
| Angle := Angle + 0.001; |
| end loop; |
| |
| if Incorrect_Inverse then |
| Report.Failed("Incorrect results returned from the Inverse " & |
| "comparison of Cot and Arccot using the default " & |
| "cycle value"); |
| Incorrect_Inverse := False; |
| end if; |
| |
| -- Non-Default Cycle test. |
| |
| New_Float_Angle := 0.01; |
| while New_Float_Angle < 180.0 and not Incorrect_Inverse loop |
| if not Result_Within_Range(EF.Arccot(EF.Cot(Float(New_Float_Angle), |
| Cycle => 360.0), |
| Cycle => 360.0), |
| Float(New_Float_Angle), |
| 0.01) or |
| not Result_Within_Range(GEF.Arccot( |
| New_Float(GEF.Cot(New_Float_Angle, |
| Cycle => 360.0)), |
| Cycle => 360.0), |
| Float(New_Float_Angle), |
| 0.01) |
| then |
| Incorrect_Inverse := True; |
| end if; |
| New_Float_Angle := New_Float_Angle + 0.01; |
| end loop; |
| |
| if Incorrect_Inverse then |
| Report.Failed("Incorrect results returned from the Inverse " & |
| "comparison of Cot and Arccot using non-default " & |
| "cycle value"); |
| end if; |
| |
| |
| exception |
| when The_Error : others => |
| Report.Failed ("The following exception was raised in the " & |
| "Test_Block: " & Exception_Name(The_Error)); |
| end Test_Block; |
| |
| Report.Result; |
| |
| end CXA5A08; |
