| -- CXA5A03.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 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; |
