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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2011.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2011.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2011.a deleted file mode 100644 index 2c018b1321e..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2011.a +++ /dev/null @@ -1,490 +0,0 @@ --- CXG2011.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 log function returns --- 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 in a range where a Taylor series can be used to compute --- the expected result. --- 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: --- 1 Mar 96 SAIC Initial release for 2.1 --- 22 Aug 96 SAIC Improved Check routine --- 02 DEC 97 EDS Log (0.0) must raise Constraint_Error, --- not Argument_Error ---! - --- --- 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 CXG2011 is - Verbose : constant Boolean := False; - Max_Samples : constant := 1000; - - -- CRC Handbook Page 738 - Ln10 : constant := 2.30258_50929_94045_68401_79914_54684_36420_76011_01489; - Ln2 : constant := 0.69314_71805_59945_30941_72321_21458_17656_80755_00134; - - 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'Base) return Real'Base renames - Elementary_Functions.Sqrt; - function Exp (X : Real'Base) return Real'Base renames - Elementary_Functions.Exp; - function Log (X : Real'Base) return Real'Base renames - Elementary_Functions.Log; - function Log (X, Base : Real'Base) return Real'Base renames - Elementary_Functions.Log; - - -- flag used to terminate some tests early - Accuracy_Error_Reported : Boolean := False; - - - -- The following value is a lower bound on the accuracy - -- required. It is normally 0.0 so that the lower bound - -- is computed from Model_Epsilon. However, for tests - -- where the expected result is only known to a certain - -- amount of precision this bound takes on a non-zero - -- value to account for that level of precision. - Error_Low_Bound : Real := 0.0; - - 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; - - -- take into account the low bound on the error - if Max_Error < Error_Low_Bound then - Max_Error := Error_Low_Bound; - 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 Special_Value_Test is - begin - - --- test 1 --- - declare - Y : Real; - begin - Y := Log(1.0); - Check (Y, 0.0, "special value test 1 -- log(1)", - 0.0); -- no error allowed - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - declare - Y : Real; - begin - Y := Log(10.0); - Check (Y, Ln10, "special value test 2 -- log(10)", 4.0); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - declare - Y : Real; - begin - Y := Log (2.0); - Check (Y, Ln2, "special value test 3 -- log(2)", 4.0); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 3"); - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - Y : Real; - begin - Y := Log (2.0 ** 18, 2.0); - Check (Y, 18.0, "special value test 4 -- log(2**18,2)", 4.0); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 4"); - when others => - Report.Failed ("exception in test 4"); - end; - end Special_Value_Test; - - - procedure Taylor_Series_Test is - -- Use a 4 term taylor series expansion to check a selection of - -- arguments very near 1.0. - -- The range is chosen so that the 4 term taylor series will - -- provide accuracy to machine precision. Cody pg 49-50. - Half_Range : constant Real := Real'Model_Epsilon * 50.0; - A : constant Real := 1.0 - Half_Range; - B : constant Real := 1.0 + Half_Range; - X : Real; - Xm1 : Real; - Expected : Real; - Actual : Real; - - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - - Xm1 := X - 1.0; - -- The following is the first 4 terms of the taylor series - -- that has been rearranged to minimize error in the calculation - Expected := (Xm1 * (1.0/3.0 - Xm1/4.0) - 0.5) * Xm1 * Xm1 + Xm1; - - Actual := Log (X); - Check (Actual, Expected, - "Taylor Series Test -" & - Integer'Image (I) & - " log (" & Real'Image (X) & ")", - 4.0); - 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 Taylor Series Test"); - when others => - Report.Failed ("exception in Taylor Series Test"); - end Taylor_Series_Test; - - - - procedure Log_Difference_Identity is - -- Check using the identity ln(x) = ln(17x/16) - ln(17/16) - -- over the range A to B. - -- The selected range assures that both X and 17x/16 will - -- have the same exponents and neither argument gets too close - -- to 1. Cody pg 50. - A : constant Real := 1.0 / Sqrt (2.0); - B : constant Real := 15.0 / 16.0; - X : Real; - Expected : Real; - Actual : Real; - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - -- magic argument purification - X := Real'Machine (Real'Machine (X+8.0) - 8.0); - - Expected := Log (X + X / 16.0) - Log (17.0/16.0); - - Actual := Log (X); - Check (Actual, Expected, - "Log Difference Identity -" & - Integer'Image (I) & - " log (" & Real'Image (X) & ")", - 4.0); - - 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 Log Difference Identity Test"); - when others => - Report.Failed ("exception in Log Difference Identity Test"); - end Log_Difference_Identity; - - - procedure Log_Product_Identity is - -- Check using the identity ln(x**2) = 2ln(x) - -- over the range A to B. - -- This large range is chosen to minimize the possibility of - -- undetected systematic errors. Cody pg 53. - A : constant Real := 16.0; - B : constant Real := 240.0; - X : Real; - Expected : Real; - Actual : Real; - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - -- magic argument purification - X := Real'Machine (Real'Machine (X+8.0) - 8.0); - - Expected := 2.0 * Log (X); - - Actual := Log (X*X); - Check (Actual, Expected, - "Log Product Identity -" & - Integer'Image (I) & - " log (" & Real'Image (X) & ")", - 4.0); - 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 Log Product Identity Test"); - when others => - Report.Failed ("exception in Log Product Identity Test"); - end Log_Product_Identity; - - - procedure Log10_Test is - -- Check using the identity log(x) = log(11x/10) - log(1.1) - -- over the range A to B. See Cody pg 52. - A : constant Real := 1.0 / Sqrt (10.0); - B : constant Real := 0.9; - X : Real; - Expected : Real; - Actual : Real; - begin - if Real'Digits > 17 then - -- constant used below is accuract to 17 digits - Error_Low_Bound := 0.00000_00000_00000_01; - Report.Comment ("log accuracy checked to 19 digits"); - end if; - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - - Expected := Log (X + X/10.0, 10.0) - - 3.77060_15822_50407_5E-4 - 21.0 / 512.0; - - Actual := Log (X, 10.0); - Check (Actual, Expected, - "Log 10 Test -" & - Integer'Image (I) & - " log (" & Real'Image (X) & ")", - 4.0); - - -- only report the first error in this test in order to keep - -- lots of failures from producing a huge error log - exit when Accuracy_Error_Reported; - end loop; - Error_Low_Bound := 0.0; -- reset - - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Log 10 Test"); - when others => - Report.Failed ("exception in Log 10 Test"); - end Log10_Test; - - - procedure Exception_Test is - X1, X2, X3, X4 : Real; - begin - begin - X1 := Log (0.0); - Report.Failed ("exception not raised for LOG(0)"); - exception - -- Log (0.0) must raise Constraint_Error, not Argument_Error, - -- as per A.5.1(28,29). Was incorrect in ACVC 2.1 release. - when Ada.Numerics.Argument_Error => - Report.Failed ("Argument_Error raised instead of" & - " Constraint_Error for LOG(0)--A.5.1(28,29)"); - when Constraint_Error => null; -- ok - when others => - Report.Failed ("wrong exception raised for LOG(0)"); - end; - - begin - X2 := Log ( 1.0, 0.0); - Report.Failed ("exception not raised for LOG(1,0)"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for LOG(1,0)"); - when others => - Report.Failed ("wrong exception raised for LOG(1,0)"); - end; - - begin - X3 := Log (1.0, 1.0); - Report.Failed ("exception not raised for LOG(1,1)"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for LOG(1,1)"); - when others => - Report.Failed ("wrong exception raised for LOG(1,1)"); - end; - - begin - X4 := Log (1.0, -10.0); - Report.Failed ("exception not raised for LOG(1,-10)"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for LOG(1,-10)"); - when others => - Report.Failed ("wrong exception raised for LOG(1,-10)"); - end; - - -- optimizer thwarting - if Report.Ident_Bool (False) then - Report.Comment (Real'Image (X1+X2+X3+X4)); - end if; - end Exception_Test; - - - procedure Do_Test is - begin - Special_Value_Test; - Taylor_Series_Test; - Log_Difference_Identity; - Log_Product_Identity; - Log10_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 ("CXG2011", - "Check the accuracy of the log function"); - - 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 CXG2011; |