| -- CXA5A06.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 Arccos and Arccosh provide correct |
| -- results. |
| -- |
| -- TEST DESCRIPTION: |
| -- This test examines both the version of Arccos and Arccosh |
| -- 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) |
| -- CXA5A06.A |
| -- |
| -- |
| -- CHANGE HISTORY: |
| -- 27 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. |
| -- 28 Feb 97 PWB.CTA 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.Numerics.Elementary_Functions; |
| with Ada.Numerics.Generic_Elementary_Functions; |
| with FXA5A00; |
| with Report; |
| |
| procedure CXA5A06 is |
| begin |
| |
| Report.Test ("CXA5A06", "Check that the functions Arccos and Arccosh " & |
| "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 Arccos Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that Argument_Error is raised by the Arccos function when the |
| -- absolute value of the input parameter is greater than 1.0. |
| |
| begin |
| New_Float_Result := GEF.Arccos(New_Float(FXA5A00.One_Plus_Delta)); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "when the input parameter is greater than 1.0"); |
| 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 Arccos " & |
| "function when the input parameter is greater " & |
| "than 1.0"); |
| end; |
| |
| begin |
| The_Result := EF.Arccos(-FXA5A00.Large); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "when the input parameter is a large negative value"); |
| Dont_Optimize_Float(The_Result, 2); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccos " & |
| "function when the input parameter is a " & |
| "large negative value"); |
| end; |
| |
| |
| -- Check the prescribed results of the Arccos function. |
| |
| if GEF.Arccos(X => 1.0) /= 0.0 or |
| EF.Arccos(1.0) /= 0.0 |
| then |
| Report.Failed("Incorrect result returned by the Arccos function " & |
| "when provided a parameter value of 0.0"); |
| end if; |
| |
| |
| -- Check the results of the Arccos function with various input |
| -- parameters. |
| |
| if not Result_Within_Range(GEF.Arccos(0.77), 0.692, 0.001) or |
| not Result_Within_Range( EF.Arccos(0.37), 1.19, 0.01) or |
| not Result_Within_Range(GEF.Arccos(0.0), Pi/2.0, 0.01) or |
| not Result_Within_Range( EF.Arccos(-0.11), 1.68, 0.01) or |
| not Result_Within_Range(GEF.Arccos(-0.67), 2.31, 0.01) or |
| not Result_Within_Range( EF.Arccos(-0.94), 2.79, 0.01) or |
| not Result_Within_Range(GEF.Arccos(-1.0), Pi, 0.01) |
| then |
| Report.Failed("Incorrect result returned from the Arccos " & |
| "function when provided a variety of input " & |
| "parameters"); |
| end if; |
| |
| |
| -- Testing of the Arccos function with specified Cycle parameter. |
| |
| -- Check that Argument_Error is raised by the Arccos function, with |
| -- specified Cycle parameter, when the absolute value of the input |
| -- parameter is greater than 1.0. |
| |
| begin |
| --pwb-math: Next line: Changed 2.0*Pi to 360.0 |
| New_Float_Result := GEF.Arccos(New_Float(Large), Cycle => 360.0); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "with specified Cycle parameter, when the input " & |
| "parameter is a large positive value"); |
| Dont_Optimize_New_Float(New_Float_Result, 3); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccos " & |
| "function with specified Cycle parameter, when " & |
| "the input parameter is a large positive value"); |
| end; |
| |
| begin |
| --pwb-math: Next line: Changed 2.0*Pi to 360.0 |
| The_Result := EF.Arccos(FXA5A00.Minus_One_Minus_Delta, 360.0); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "with specified Cycle parameter, when the input " & |
| "parameter is less than -1.0"); |
| Dont_Optimize_Float(The_Result, 4); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccos " & |
| "function with specified Cycle parameter, " & |
| "when the input parameter is less than -1.0"); |
| end; |
| |
| |
| -- Check that Argument_Error is raised by the Arccos function with |
| -- specified cycle when the value of the Cycle parameter is zero or |
| -- negative. |
| |
| begin |
| New_Float_Result := GEF.Arccos(X => 1.0, Cycle => 0.0 ); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "with specified Cycle parameter, when the Cycle " & |
| "parameter is 0.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 5); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccos " & |
| "function with specified Cycle parameter, when " & |
| "the Cycle parameter is 0.0"); |
| end; |
| |
| begin |
| The_Result := EF.Arccos(1.0, Cycle => -2.0*Pi); |
| Report.Failed("Argument_Error not raised by the Arccos function " & |
| "with specified Cycle parameter, when the Cycle " & |
| "parameter is negative"); |
| Dont_Optimize_Float(The_Result, 6); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccos " & |
| "function with specified Cycle parameter, when " & |
| "the Cycle parameter is negative"); |
| end; |
| |
| |
| -- Check the prescribed result of the Arccos function with specified |
| -- Cycle parameter. |
| |
| --pwb-math: Next two lines: Changed 2.0*Pi to 360.0 |
| if GEF.Arccos(X => 1.0, Cycle => 360.0) /= 0.0 or |
| EF.Arccos(1.0, 360.0) /= 0.0 |
| then |
| Report.Failed("Incorrect result from the Arccos function with " & |
| "specified Cycle parameter, when the input " & |
| "parameter value is 1.0"); |
| end if; |
| |
| |
| -- Check the results of the Arccos function, with specified Cycle |
| -- parameter, with various input parameters. |
| |
| if --pwb-math not Result_Within_Range(GEF.Arccos( 0.04, 2.0*Pi), 1.53, 0.01) or |
| --pwb-math not Result_Within_Range( EF.Arccos( 0.14, 2.0*Pi), 1.43, 0.01) or |
| --pwb-math not Result_Within_Range(GEF.Arccos( 0.57, 2.0*Pi), 0.96, 0.01) or |
| --pwb-math not Result_Within_Range( EF.Arccos( 0.99, 2.0*Pi), 0.14, 0.01) or |
| not Result_Within_Range(GEF.Arccos(-1.0, 360.0), 180.0, 0.1) or |
| not Result_Within_Range(GEF.Arccos(-1.0, 100.0), 50.0, 0.1) or |
| not Result_Within_Range(GEF.Arccos( 0.0, 360.0), 90.0, 0.1) or |
| not Result_Within_Range(GEF.Arccos( 0.0, 100.0), 25.0, 0.1) |
| then |
| Report.Failed("Incorrect result returned from the Arccos " & |
| "function with specified Cycle parameter, " & |
| "when provided a variety of input parameters"); |
| end if; |
| |
| |
| |
| -- Testing of Arccosh Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that Argument_Error is raised by the Arccosh function when |
| -- the value of the parameter X is less than 1.0. |
| |
| begin |
| New_Float_Result := GEF.Arccosh(New_Float(FXA5A00.One_Minus_Delta)); |
| Report.Failed("Argument_Error not raised by the Arccosh function " & |
| "when the parameter value is less than 1.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 7); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccosh " & |
| "function when given a parameter value less " & |
| "than 1.0"); |
| end; |
| |
| begin |
| The_Result := EF.Arccosh(0.0); |
| Report.Failed("Argument_Error not raised by the Arccosh function " & |
| "when the parameter value is 0.0"); |
| Dont_Optimize_Float(The_Result, 8); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccosh " & |
| "function when given a parameter value of 0.0"); |
| end; |
| |
| begin |
| New_Float_Result := GEF.Arccosh(New_Float(-FXA5A00.Large)); |
| Report.Failed("Argument_Error not raised by the Arccosh function " & |
| "when the large negative parameter value"); |
| Dont_Optimize_New_Float(New_Float_Result, 9); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccosh " & |
| "function when given a large negative parameter " & |
| "value"); |
| end; |
| |
| |
| -- Check the prescribed results of the Arccosh function. |
| |
| if GEF.Arccosh(X => 1.0) /= 0.0 or |
| EF.Arccosh(1.0) /= 0.0 |
| then |
| Report.Failed("Incorrect result returned by the Arccosh " & |
| "function when provided a parameter value of 0.0"); |
| end if; |
| |
| |
| -- Check the results of the Arccosh function with various input |
| -- parameters. |
| |
| if not Result_Within_Range(GEF.Arccosh(1.03), 0.244, 0.001) or |
| not Result_Within_Range( EF.Arccosh(1.28), 0.732, 0.001) or |
| not Result_Within_Range(GEF.Arccosh(1.50), 0.962, 0.001) or |
| not Result_Within_Range( EF.Arccosh(1.77), 1.17, 0.01) or |
| not Result_Within_Range(GEF.Arccosh(2.00), 1.32, 0.01) or |
| not Result_Within_Range( EF.Arccosh(4.30), 2.14, 0.01) or |
| not Result_Within_Range(GEF.Arccosh(6.90), 2.62, 0.01) |
| then |
| Report.Failed("Incorrect result returned from the Arccosh " & |
| "function when provided a variety of input " & |
| "parameters"); |
| end if; |
| |
| |
| exception |
| when others => Report.Failed ("Exception raised in Test_Block"); |
| end Test_Block; |
| |
| Report.Result; |
| |
| end CXA5A06; |
