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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2013.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a deleted file mode 100644 index 94f180b804d..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a +++ /dev/null @@ -1,367 +0,0 @@ --- CXG2013.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 TAN and COT functions return --- results that are within the error bound allowed. --- --- TEST DESCRIPTION: --- This test consists of a generic package that is --- instantiated to check both Float and a long float type. --- The test for each floating point type is divided into --- several parts: --- Special value checks where the result is a known constant. --- Checks that use an identity for determining the result. --- Exception checks. --- --- SPECIAL REQUIREMENTS --- The Strict Mode for the numerical accuracy must be --- selected. The method by which this mode is selected --- is implementation dependent. --- --- APPLICABILITY CRITERIA: --- This test applies only to implementations supporting the --- Numerics Annex. --- This test only applies to the Strict Mode for numerical --- accuracy. --- --- --- CHANGE HISTORY: --- 11 Mar 96 SAIC Initial release for 2.1 --- 17 Aug 96 SAIC Commentary fixes. --- 03 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi --- 02 DEC 97 EDS Change Max_Samples constant to 1001. --- 29 JUN 98 EDS Deleted Special_Angle_Test as fatally flawed. - ---! - --- --- References: --- --- Software Manual for the Elementary Functions --- William J. Cody, Jr. and William Waite --- Prentice-Hall, 1980 --- --- CRC Standard Mathematical Tables --- 23rd Edition --- --- Implementation and Testing of Function Software --- W. J. Cody --- Problems and Methodologies in Mathematical Software Production --- editors P. C. Messina and A. Murli --- Lecture Notes in Computer Science Volume 142 --- Springer Verlag, 1982 --- - -with System; -with Report; -with Ada.Numerics.Generic_Elementary_Functions; -procedure CXG2013 is - Verbose : constant Boolean := False; - Max_Samples : constant := 1001; - - -- CRC Standard Mathematical Tables; 23rd Edition; pg 738 - Sqrt2 : constant := - 1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695; - Sqrt3 : constant := - 1.73205_08075_68877_29352_74463_41505_87236_69428_05253_81039; - - Pi : constant := Ada.Numerics.Pi; - - generic - type Real is digits <>; - package Generic_Check is - procedure Do_Test; - end Generic_Check; - - package body Generic_Check is - package Elementary_Functions is new - Ada.Numerics.Generic_Elementary_Functions (Real); - function Sqrt (X : Real) return Real renames - Elementary_Functions.Sqrt; - function Tan (X : Real) return Real renames - Elementary_Functions.Tan; - function Cot (X : Real) return Real renames - Elementary_Functions.Cot; - function Tan (X, Cycle : Real) return Real renames - Elementary_Functions.Tan; - function Cot (X, Cycle : Real) return Real renames - Elementary_Functions.Cot; - - -- flag used to terminate some tests early - Accuracy_Error_Reported : Boolean := False; - - -- factor to be applied in computing MRE - Maximum_Relative_Error : constant Real := 4.0; - - procedure Check (Actual, Expected : Real; - Test_Name : String; - MRE : Real) is - Max_Error : Real; - Rel_Error : Real; - Abs_Error : Real; - begin - -- In the case where the expected result is very small or 0 - -- we compute the maximum error as a multiple of Model_Epsilon instead - -- of Model_Epsilon and Expected. - Rel_Error := MRE * abs Expected * Real'Model_Epsilon; - Abs_Error := MRE * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - - if abs (Actual - Expected) > Max_Error then - Accuracy_Error_Reported := True; - Report.Failed (Test_Name & - " actual: " & Real'Image (Actual) & - " expected: " & Real'Image (Expected) & - " difference: " & Real'Image (Actual - Expected) & - " max err:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result"); - else - Report.Comment (Test_Name & " passed"); - end if; - end if; - end Check; - - - - procedure Exact_Result_Test is - No_Error : constant := 0.0; - begin - -- A.5.1(38);6.0 - Check (Tan (0.0), 0.0, "tan(0)", No_Error); - - -- A.5.1(41);6.0 - Check (Tan (180.0, 360.0), 0.0, "tan(180,360)", No_Error); - Check (Tan (360.0, 360.0), 0.0, "tan(360,360)", No_Error); - Check (Tan (720.0, 360.0), 0.0, "tan(720,360)", No_Error); - - -- A.5.1(41);6.0 - Check (Cot ( 90.0, 360.0), 0.0, "cot( 90,360)", No_Error); - Check (Cot (270.0, 360.0), 0.0, "cot(270,360)", No_Error); - Check (Cot (810.0, 360.0), 0.0, "cot(810,360)", No_Error); - - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in Exact_Result Test"); - when others => - Report.Failed ("exception in Exact_Result Test"); - end Exact_Result_Test; - - - procedure Tan_Test (A, B : Real) is - -- Use identity Tan(X) = [2*Tan(x/2)]/[1-Tan(x/2) ** 2] - -- checks over the range -pi/4 .. pi/4 require no argument reduction - -- checks over the range 7pi/8 .. 9pi/8 require argument reduction - X, Y : Real; - Actual1, Actual2 : Real; - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - -- argument purification to insure x and x/2 are exact - -- See Cody page 170. - Y := Real'Machine (X*0.5); - X := Real'Machine (Y + Y); - - Actual1 := Tan(X); - Actual2 := (2.0 * Tan (Y)) / (1.0 - Tan (Y) ** 2); - - if abs (X - Pi) > ( (B-A)/Real(2*Max_Samples) ) then - Check (Actual1, Actual2, - "Tan_Test " & Integer'Image (I) & ": tan(" & - Real'Image (X) & ") ", - (1.0 + Sqrt2) * Maximum_Relative_Error); - -- see Cody pg 165 for error bound info - end if; - - if Accuracy_Error_Reported then - -- only report the first error in this test in order to keep - -- lots of failures from producing a huge error log - return; - end if; - - end loop; - - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Tan_Test"); - when others => - Report.Failed ("exception in Tan_Test"); - end Tan_Test; - - - - procedure Cot_Test is - -- Use identity Cot(X) = [Cot(X/2)**2 - 1]/[2*Cot(X/2)] - A : constant := 6.0 * Pi; - B : constant := 25.0 / 4.0 * Pi; - X, Y : Real; - Actual1, Actual2 : Real; - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - -- argument purification to insure x and x/2 are exact. - -- See Cody page 170. - Y := Real'Machine (X*0.5); - X := Real'Machine (Y + Y); - - Actual1 := Cot(X); - Actual2 := (Cot (Y) ** 2 - 1.0) / (2.0 * Cot (Y)); - - Check (Actual1, Actual2, - "Cot_Test " & Integer'Image (I) & ": cot(" & - Real'Image (X) & ") ", - (1.0 + Sqrt2) * Maximum_Relative_Error); - -- see Cody pg 165 for error bound info - - if Accuracy_Error_Reported then - -- only report the first error in this test in order to keep - -- lots of failures from producing a huge error log - return; - end if; - - end loop; - - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Cot_Test"); - when others => - Report.Failed ("exception in Cot_Test"); - end Cot_Test; - - - procedure Exception_Test is - X1, X2, X3, X4, X5 : Real := 0.0; - begin - - - begin -- A.5.1(20);6.0 - X1 := Tan (0.0, Cycle => 0.0); - Report.Failed ("no exception for cycle = 0.0"); - exception - when Ada.Numerics.Argument_Error => null; - when others => - Report.Failed ("wrong exception for cycle = 0.0"); - end; - - begin -- A.5.1(20);6.0 - X2 := Cot (1.0, Cycle => -3.0); - Report.Failed ("no exception for cycle < 0.0"); - exception - when Ada.Numerics.Argument_Error => null; - when others => - Report.Failed ("wrong exception for cycle < 0.0"); - end; - - -- the remaining tests only apply to machines that overflow - if Real'Machine_Overflows then -- A.5.1(28);6.0 - - begin -- A.5.1(29);6.0 - X3 := Cot (0.0); - Report.Failed ("exception not raised for cot(0)"); - exception - when Constraint_Error => null; -- ok - when others => - Report.Failed ("wrong exception raised for cot(0)"); - end; - - begin -- A.5.1(31);6.0 - X4 := Tan (90.0, 360.0); - Report.Failed ("exception not raised for tan(90,360)"); - exception - when Constraint_Error => null; -- ok - when others => - Report.Failed ("wrong exception raised for tan(90,360)"); - end; - - begin -- A.5.1(32);6.0 - X5 := Cot (180.0, 360.0); - Report.Failed ("exception not raised for cot(180,360)"); - exception - when Constraint_Error => null; -- ok - when others => - Report.Failed ("wrong exception raised for cot(180,360)"); - end; - end if; - - -- optimizer thwarting - if Report.Ident_Bool (False) then - Report.Comment (Real'Image (X1+X2+X3+X4+X5)); - end if; - end Exception_Test; - - - procedure Do_Test is - begin - Exact_Result_Test; - Tan_Test (-Pi/4.0, Pi/4.0); - Tan_Test (7.0*Pi/8.0, 9.0*Pi/8.0); - Cot_Test; - Exception_Test; - end Do_Test; - end Generic_Check; - - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - package Float_Check is new Generic_Check (Float); - - -- check the floating point type with the most digits - type A_Long_Float is digits System.Max_Digits; - package A_Long_Float_Check is new Generic_Check (A_Long_Float); - - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - - -begin - Report.Test ("CXG2013", - "Check the accuracy of the TAN and COT functions"); - - if Verbose then - Report.Comment ("checking Standard.Float"); - end if; - - Float_Check.Do_Test; - - if Verbose then - Report.Comment ("checking a digits" & - Integer'Image (System.Max_Digits) & - " floating point type"); - end if; - - A_Long_Float_Check.Do_Test; - - - Report.Result; -end CXG2013; |