-- CXA5A06.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 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;