-- CXA5A02.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 Cos and Cosh provide correct results. -- -- TEST DESCRIPTION: -- This test examines both the version of Cos and Cosh resulting from -- the instantiation of the Ada.Numerics.Generic_Elementary_Functions -- with type derived from type Float, as well as the pre-instantiated -- 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) -- CXA5A02.A -- -- -- CHANGE HISTORY: -- 09 Mar 95 SAIC Initial prerelease version. -- 03 Apr 95 SAIC Removed reference to derived type. -- 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 specifying Cycle => 2.0 * Pi -- 26 Jun 98 EDS Protected exception checks by first testing -- for 'Machine_Overflows. Removed code deleted -- by comment. -- 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 have been deleted. --! with Ada.Numerics.Elementary_Functions; with Ada.Numerics.Generic_Elementary_Functions; with FXA5A00; with Report; procedure CXA5A02 is begin Report.Test ("CXA5A02", "Check that the functions Cos and Cosh 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 Cos Function, both instantiated and pre-instantiated -- version. -- Check that no exception occurs on computing the Cos with very -- large (positive and negative) input values. begin New_Float_Result := GEF.Cos (New_Float(FXA5A00.Large)); Dont_Optimize_New_Float(New_Float_Result, 1); exception when others => Report.Failed("Unexpected exception on GEF.Cos with large " & "positive value"); end; begin The_Result := EF.Cos (FXA5A00.Minus_Large); Dont_Optimize_Float(The_Result, 2); exception when others => Report.Failed("Unexpected exception on GEF.Cos with large " & "negative value"); end; -- Test of Cos for prescribed result at zero. if GEF.Cos (0.0) /= 1.0 or EF.Cos (0.0) /= 1.0 then Report.Failed("Incorrect value returned from Cos(0.0)"); end if; -- Test of Cos with expected result value between 1.0 and -1.0. if not (Result_Within_Range( EF.Cos(Ada.Numerics.Pi/3.0), 0.500, 0.001) and Result_Within_Range(GEF.Cos(0.6166), 0.816, 0.001) and Result_Within_Range(GEF.Cos(0.1949), 0.981, 0.001) and Result_Within_Range( EF.Cos(Ada.Numerics.Pi/2.0), 0.00, 0.001) and Result_Within_Range( EF.Cos(2.0*Ada.Numerics.Pi/3.0), -0.500, 0.001) and Result_Within_Range(GEF.Cos(New_Float(Ada.Numerics.Pi)), -1.00, 0.001)) then Report.Failed("Incorrect value returned from Cos function when " & "the expected result is between 1.0 and -1.0"); end if; -- Testing of the Cos function with Cycle parameter. -- Check that Argument_Error is raised when the value of the Cycle -- parameter is zero. begin New_Float_Result := GEF.Cos (X => 1.0, Cycle => 0.0); Report.Failed("Argument_Error not raised by GEF.Cos function " & "when the Cycle parameter is zero"); Dont_Optimize_New_Float(New_Float_Result, 3); exception when Ada.Numerics.Argument_Error => null; -- OK, expected exception. when others => Report.Failed("Unexpected exception raised by GEF.cos function " & "when the Cycle parameter is zero"); end; begin The_Result := EF.Cos (X => 0.55, Cycle => 0.0); Report.Failed("Argument_Error not raised by EF.Cos function when " & "the Cycle parameter is zero"); Dont_Optimize_Float(The_Result, 4); exception when Ada.Numerics.Argument_Error => null; -- OK, expected exception. when others => Report.Failed("Unexpected exception raised by EF.Cos function " & "when the Cycle parameter is zero"); end; -- Check that Argument_Error is raised when the value of the Cycle -- parameter is negative. begin New_Float_Result := GEF.Cos (X => 0.45, Cycle => -2.0*Pi); Report.Failed("Argument_Error not raised by GEF.Cos function " & "when the Cycle parameter is negative"); Dont_Optimize_New_Float(New_Float_Result, 5); exception when Ada.Numerics.Argument_Error => null; -- OK, expected exception. when others => Report.Failed("Unexpected exception raised by GEF.Cos function " & "when the Cycle parameter is negative"); end; begin The_Result := EF.Cos (X => 0.10, Cycle => -Pi/2.0); Report.Failed("Argument_Error not raised by EF.Cos function when " & "the Cycle parameter is negative"); Dont_Optimize_Float(The_Result, 6); exception when Ada.Numerics.Argument_Error => null; -- OK, expected exception. when others => Report.Failed("Unexpected exception raised by EF.Cos function " & "when the Cycle parameter is negative"); end; -- Test of Cos with Cycle parameter for prescribed result at zero. if GEF.Cos (0.0, 360.0) /= 1.0 or EF.Cos (0.0, 360.0) /= 1.0 then Report.Failed("Incorrect value returned from Cos function with " & "cycle parameter for a zero input parameter value"); end if; -- Tests of Cos function with specified Cycle, using various input -- parameter values for prescribed results. if GEF.Cos(0.0, 360.0) /= 1.0 or EF.Cos(360.0, 360.0) /= 1.0 or GEF.Cos(90.0, 360.0) /= 0.0 or EF.Cos(270.0, 360.0) /= 0.0 or GEF.Cos(180.0, 360.0) /= -1.0 or EF.Cos(540.0, 360.0) /= -1.0 then Report.Failed("Incorrect result from the Cos function with " & "specified cycle for prescribed results"); end if; -- Testing of Cosh Function, both instantiated and pre-instantiated -- version. -- Test for Constraint_Error on parameter with large positive magnitude. begin if New_Float'Machine_Overflows then New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Large)); Report.Failed("Constraint_Error not raised when the GEF.Cosh " & "function is provided a parameter with a large " & "positive value"); Dont_Optimize_New_Float(New_Float_Result, 9); end if; exception when Constraint_Error => null; -- OK, expected exception. when others => Report.Failed("Constraint_Error not raised when the GEF.Cosh " & "function is provided a parameter with a large " & "positive value"); end; -- Test for Constraint_Error on parameter with large negative magnitude. begin if Float'Machine_Overflows then The_Result := EF.Cosh (FXA5A00.Minus_Large); Report.Failed("Constraint_Error not raised when the EF.Cosh " & "function is provided a parameter with a " & "large negative value"); Dont_Optimize_Float(The_Result, 10); end if; exception when Constraint_Error => null; -- OK, expected exception. when others => Report.Failed("Constraint_Error not raised when the EF.Cosh " & "function is provided a parameter with a " & "large negative value"); end; -- Test that no exception occurs when the Cosh function is provided a -- very small positive or negative value. begin New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Small)); Dont_Optimize_New_Float(New_Float_Result, 11); exception when others => Report.Failed("Unexpected exception on GEF.Cosh with a very" & "small positive value"); end; begin The_Result := EF.Cosh (-FXA5A00.Small); Dont_Optimize_Float(The_Result, 12); exception when others => Report.Failed("Unexpected exception on EF.Cosh with a very" & "small negative value"); end; -- Test for prescribed 1.0 result of Function Cosh with 0.0 parameter. if GEF.Cosh (0.0) /= 1.0 or EF.Cosh (0.0) /= 1.0 then Report.Failed("Incorrect value returned from Cosh(0.0)"); end if; -- Test of Cosh function with various input parameters. if not FXA5A00.Result_Within_Range(GEF.Cosh(0.24), 1.029, 0.001) or not FXA5A00.Result_Within_Range( EF.Cosh(0.59), 1.179, 0.001) or not FXA5A00.Result_Within_Range(GEF.Cosh(1.06), 1.616, 0.001) or not FXA5A00.Result_Within_Range( EF.Cosh(1.50), 2.352, 0.001) or not FXA5A00.Result_Within_Range(GEF.Cosh(1.84), 3.228, 0.001) or not FXA5A00.Result_Within_Range( EF.Cosh(3.40), 14.99, 0.01) then Report.Failed("Incorrect result from Cosh function with " & "various input parameters"); end if; exception when others => Report.Failed ("Exception raised in Test_Block"); end Test_Block; Report.Result; end CXA5A02;