| -- CXA5A04.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 Cot, Coth, and Arccoth provide correct |
| -- results. |
| -- |
| -- TEST DESCRIPTION: |
| -- This test examines both the version of Cot, Coth, and Arccoth |
| -- 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) |
| -- CXA5A04.A |
| -- |
| -- |
| -- CHANGE HISTORY: |
| -- 15 Mar 95 SAIC Initial prerelease version. |
| -- 07 Apr 95 SAIC Corrected errors in context clause reference, |
| -- added trigonometric relationship checks. |
| -- 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 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi |
| -- 29 Jun 98 EDS Protected exception tests by first testing |
| -- for 'Machine_Overflows |
| -- |
| -- 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 CXA5A04 is |
| begin |
| |
| Report.Test ("CXA5A04", "Check that the functions Cot, Coth, and " & |
| "Arccoth provide 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; |
| |
| 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 Cot Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that Constraint_Error is raised with the Cot function is |
| -- given a parameter input value of 0.0. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Cot (0.0); |
| Report.Failed("Constraint_Error not raised by Function Cot " & |
| "when provided a zero input parameter value"); |
| Dont_Optimize_New_Float(New_Float_Result, 1); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by Function Cot " & |
| "when provided a zero input parameter value"); |
| end; |
| end if; |
| |
| -- Check that no exception occurs on computing the Cot with very |
| -- large (positive and negative) input values. |
| |
| begin |
| New_Float_Result := GEF.Cot (New_Float(FXA5A00.Large)); |
| Dont_Optimize_New_Float(New_Float_Result, 2); |
| exception |
| when others => |
| Report.Failed("Unexpected exception on GEF.Cot with large " & |
| "positive value"); |
| end; |
| |
| begin |
| The_Result := EF.Cot (FXA5A00.Minus_Large); |
| Dont_Optimize_Float(The_Result, 3); |
| exception |
| when others => |
| Report.Failed("Unexpected exception on EF.Cot with large " & |
| "negative value"); |
| end; |
| |
| |
| -- Check the results of the Cot function with various input parameters. |
| |
| if not (FXA5A00.Result_Within_Range(GEF.Cot(Pi/4.0), 1.0, 0.001) and |
| FXA5A00.Result_Within_Range( EF.Cot(Pi/2.0), 0.0, 0.001) and |
| FXA5A00.Result_Within_Range(GEF.Cot(3.0*Pi/4.0),-1.0, 0.001) and |
| FXA5A00.Result_Within_Range( EF.Cot(3.0*Pi/2.0), 0.0, 0.001)) |
| then |
| Report.Failed("Incorrect result from Cot function with various " & |
| "input parameters"); |
| end if; |
| |
| |
| -- Check the results of the Cot function against the results of |
| -- various trigonometric relationships. |
| |
| if not FXA5A00.Result_Within_Range(GEF.Cot(New_Float(Pi/4.0)), |
| 1.0/EF.Tan(Pi/4.0), |
| 0.001) or |
| not FXA5A00.Result_Within_Range(EF.Cot(Pi/4.0), |
| EF.Cos(Pi/4.0)/EF.Sin(Pi/4.0), |
| 0.001) or |
| not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(Pi/4.0)), |
| Pi/4.0, |
| 0.001) |
| then |
| Report.Failed("Incorrect result from Cot function with respect " & |
| "to various trigonometric relationship expected " & |
| "results"); |
| end if; |
| |
| |
| -- Testing of Cot with Cycle parameter. |
| |
| -- Check that Argument_Error is raised by the Cot function when the |
| -- value of the Cycle parameter is zero or negative. |
| |
| begin |
| New_Float_Result := GEF.Cot (1.0, Cycle => 0.0); |
| Report.Failed("Argument_Error not raised by the Cot Function " & |
| "with a specified cycle value of 0.0"); |
| 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 Cot Function with " & |
| "a specified cycle value of 0.0"); |
| end; |
| |
| begin |
| The_Result := EF.Cot (X => 1.0, Cycle => -360.0); |
| Report.Failed("Argument_Error not raised by the Cot Function " & |
| "with a specified cycle value of -360.0"); |
| Dont_Optimize_Float(The_Result, 5); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed |
| ("Unexpected exception raised by the Cot Function with " & |
| "a specified cycle value of -360.0"); |
| end; |
| |
| |
| -- Check that Constraint_Error is raised by the Cot Function with |
| -- specified cycle, when the value of the parameter X is 0.0. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Cot (0.0, 360.0); |
| Report.Failed("Constraint_Error not raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is 0.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 6); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is 0.0"); |
| end; |
| end if; |
| |
| -- Check that Constraint_Error is raised by the Cot Function with |
| -- specified cycle, when the value of the parameter X is a multiple |
| -- of the half cycle. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Cot (180.0, 360.0); |
| Report.Failed("Constraint_Error not raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is a multiple of the half cycle (180.0, 360.0)"); |
| Dont_Optimize_New_Float(New_Float_Result, 7); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is a multiple of the half cycle" & |
| " (180.0, 360.0)"); |
| end; |
| end if; |
| |
| if Float'Machine_Overflows = True then |
| begin |
| The_Result := EF.Cot (540.0, 360.0); |
| Report.Failed("Constraint_Error not raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is a multiple of the half cycle (540.0, 360.0)"); |
| Dont_Optimize_Float(The_Result, 8); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by Function Cot " & |
| "with specified cycle, when value of parameter " & |
| "X is a multiple of the half cycle (540.0, 360.0)"); |
| end; |
| end if; |
| |
| --pwb-math -- Check that no exception occurs on computing the Cot with very |
| --pwb-math -- large (positive and negative) input values. |
| --pwb-math |
| --pwb-math begin |
| --pwb-math New_Float_Result := GEF.Cot (New_Float(FXA5A00.Large), 2.0*Pi); |
| --pwb-math Dont_Optimize_New_Float(New_Float_Result, 9); |
| --pwb-math exception |
| --pwb-math when others => |
| --pwb-math Report.Failed("Unexpected exception on GEF.Cot with large " & |
| --pwb-math "positive value"); |
| --pwb-math end; |
| --pwb-math |
| --pwb-math begin |
| --pwb-math The_Result := EF.Cot (FXA5A00.Minus_Large, Cycle => 2.0*Pi); |
| --pwb-math Dont_Optimize_Float(The_Result, 10); |
| --pwb-math exception |
| --pwb-math when others => |
| --pwb-math Report.Failed("Unexpected exception on EF.Cot with large " & |
| --pwb-math "negative value"); |
| --pwb-math end; |
| --pwb-math |
| --pwb-math |
| --pwb-math -- Check prescribed result from Cot function with Cycle parameter. |
| --pwb-math |
| --pwb-math if not FXA5A00.Result_Within_Range |
| --pwb-math (GEF.Cot(New_Float(FXA5A00.Half_Pi), 2.0*Pi), 0.0, 0.001) or |
| --pwb-math not FXA5A00.Result_Within_Range |
| --pwb-math (EF.Cot(3.0*Pi/2.0, Cycle => 2.0*Pi), 0.0, 0.001) |
| --pwb-math then |
| --pwb-math Report.Failed("Incorrect result from Cot function with cycle " & |
| --pwb-math "parameter, using a multiple of Pi/2 as the " & |
| --pwb-math "input parameter"); |
| --pwb-math end if; |
| |
| |
| -- Testing of Coth Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that no exception occurs on computing the Coth with very |
| -- large (positive and negative) input values. |
| |
| begin |
| The_Result := EF.Coth (FXA5A00.Large); |
| if The_Result > 1.0 then |
| Report.Failed("Result of Coth function with large positive " & |
| "value greater than 1.0"); |
| end if; |
| exception |
| when others => |
| Report.Failed("Unexpected exception on EF.Coth with large " & |
| "positive value"); |
| end; |
| |
| begin |
| The_Result := EF.Coth (FXA5A00.Minus_Large); |
| if The_Result < -1.0 then |
| Report.Failed("Result of Coth function with large negative " & |
| "value less than -1.0"); |
| end if; |
| exception |
| when others => |
| Report.Failed("Unexpected exception on EF.Coth with large " & |
| "negative value"); |
| end; |
| |
| |
| -- Check that Constraint_Error is raised by the Coth function, when |
| -- the value of the parameter X is 0.0. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Coth (X => 0.0); |
| Report.Failed("Constraint_Error not raised by the Coth function " & |
| "when the value of parameter X is 0.0"); |
| Dont_Optimize_New_Float(New_Float_Result, 11); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Coth " & |
| "function when the value of parameter X is 0.0"); |
| end; |
| end if; |
| |
| |
| -- Testing of Arccoth Function, both instantiated and pre-instantiated |
| -- version. |
| |
| -- Check that Constraint_Error is raised by the Arccoth function |
| -- when the absolute value of the parameter X is 1.0. |
| |
| if New_Float'Machine_Overflows = True then |
| begin |
| New_Float_Result := GEF.Arccoth (X => 1.0); |
| Report.Failed("Constraint_Error not raised by the Arccoth " & |
| "function when the value of parameter X is 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 the Arccoth " & |
| "function when the value of parameter X is 1.0"); |
| end; |
| end if; |
| |
| if Float'Machine_Overflows = True then |
| begin |
| The_Result := EF.Arccoth (-1.0); |
| Report.Failed("Constraint_Error not raised by the Arccoth " & |
| "function when the value of parameter X is -1.0"); |
| Dont_Optimize_Float(The_Result, 13); |
| exception |
| when Constraint_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccoth " & |
| "function when the value of parameter X is -1.0"); |
| end; |
| end if; |
| |
| -- Check that Argument_Error is raised by the Arccoth function when |
| -- the absolute value of the parameter X is less than 1.0. |
| |
| begin |
| New_Float_Result := GEF.Arccoth (X => New_Float(One_Minus_Delta)); |
| Report.Failed("Argument_Error not raised by the Arccoth " & |
| "function with parameter value less 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 the Arccoth " & |
| "function with parameter value less than 1.0"); |
| end; |
| |
| begin |
| The_Result := EF.Arccoth (X => FXA5A00.Minus_One_Plus_Delta); |
| Report.Failed("Argument_Error not raised by the Arccoth function " & |
| "with parameter value between 0.0 and -1.0"); |
| Dont_Optimize_Float(The_Result, 15); |
| exception |
| when Argument_Error => null; -- OK, expected exception. |
| when others => |
| Report.Failed("Unexpected exception raised by the Arccoth " & |
| "function with parameter value between 0.0 " & |
| "and -1.0"); |
| end; |
| |
| |
| -- Check the results of the Arccoth function with various input |
| -- parameters. |
| |
| if not (Result_Within_Range(GEF.Arccoth(1.01), 2.652, 0.01) and |
| Result_Within_Range( EF.Arccoth(1.25), 1.099, 0.01) and |
| Result_Within_Range(GEF.Arccoth(1.56), 0.760, 0.001) and |
| Result_Within_Range( EF.Arccoth(1.97), 0.560, 0.001) and |
| Result_Within_Range(GEF.Arccoth(2.40), 0.444, 0.001) and |
| Result_Within_Range( EF.Arccoth(4.30), 0.237, 0.001) and |
| Result_Within_Range(GEF.Arccoth(5.80), 0.174, 0.001) and |
| Result_Within_Range( EF.Arccoth(7.00), 0.144, 0.001)) |
| then |
| Report.Failed("Incorrect result from Arccoth function with various " & |
| "input parameters"); |
| 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 CXA5A04; |
