-- CXA5A03.A -- -- Grant of Unlimited Rights -- -- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687 and -- F08630-91-C-0015, 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. -- --! 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. 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; -- 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. 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; 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; -- 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;