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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2017.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2017.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2017.a deleted file mode 100644 index 50add975f7f..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2017.a +++ /dev/null @@ -1,296 +0,0 @@ --- CXG2017.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 TANH function returns --- a result that is 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. --- --- 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: --- 20 Mar 96 SAIC Initial release for 2.1 --- 17 Aug 96 SAIC Incorporated reviewer comments. --- 03 Jun 98 EDS Add parens to remove the potential for overflow. --- Remove the invocation of Identity_Test that checks --- Tanh values that are too close to zero for the --- test's error bounds. ---! - --- --- 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 CXG2017 is - Verbose : constant Boolean := False; - Max_Samples : constant := 1000; - - E : constant := Ada.Numerics.E; - - 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 Tanh (X : Real) return Real renames - Elementary_Functions.Tanh; - - function Log (X : Real) return Real 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_Small instead - -- of Model_Epsilon and Expected. - Rel_Error := MRE * abs Expected * Real'Model_Epsilon; - Abs_Error := MRE * Real'Model_Small; - 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 - -- In the following tests the expected result is accurate - -- to the machine precision so the minimum guaranteed error - -- bound can be used. - Minimum_Error : constant := 8.0; - E2 : constant := E * E; - begin - Check (Tanh (1.0), - (E - 1.0 / E) / (E + 1.0 / E), - "tanh(1)", - Minimum_Error); - Check (Tanh (2.0), - (E2 - 1.0 / E2) / (E2 + 1.0 / E2), - "tanh(2)", - Minimum_Error); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in special value test"); - when others => - Report.Failed ("exception in special value test"); - end Special_Value_Test; - - - - procedure Exact_Result_Test is - No_Error : constant := 0.0; - begin - -- A.5.1(38);6.0 - Check (Tanh (0.0), 0.0, "tanh(0)", 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 Identity_Test (A, B : Real) is - -- For this test we use the identity - -- TANH(u+v) = [TANH(u) + TANH(v)] / [1 + TANH(u)*TANH(v)] - -- which is transformed to - -- TANH(x) = [TANH(y)+C] / [1 + TANH(y) * C] - -- where C = TANH(1/8) and y = x - 1/8 - -- - -- see Cody pg 248-249 for details on the error analysis. - -- The net result is a relative error bound of 16 * Model_Epsilon. - -- - -- The second part of this test checks the identity - -- TANH(-x) = -TANH(X) - - X, Y : Real; - Actual1, Actual2 : Real; - C : constant := 1.2435300177159620805e-1; - begin - if Real'Digits > 20 then - -- constant C is accurate to 20 digits. Set the low bound - -- on the error to 16*10**-20 - Error_Low_Bound := 0.00000_00000_00000_00016; - Report.Comment ("tanh accuracy checked to 20 digits"); - end if; - - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * (Real (I) / Real (Max_Samples)) + A; - Actual1 := Tanh(X); - - -- TANH(x) = [TANH(y)+C] / [1 + TANH(y) * C] - Y := X - (1.0 / 8.0); - Actual2 := (Tanh (Y) + C) / (1.0 + Tanh(Y) * C); - - Check (Actual1, Actual2, - "Identity_1_Test " & Integer'Image (I) & ": tanh(" & - Real'Image (X) & ") ", - 16.0); - - -- TANH(-x) = -TANH(X) - Actual2 := Tanh(-X); - Check (-Actual1, Actual2, - "Identity_2_Test " & Integer'Image (I) & ": tanh(" & - Real'Image (X) & ") ", - 16.0); - - 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; - Error_Low_Bound := 0.0; -- reset - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Identity_Test" & - " for X=" & Real'Image (X)); - when others => - Report.Failed ("exception in Identity_Test" & - " for X=" & Real'Image (X)); - end Identity_Test; - - - - procedure Do_Test is - begin - Special_Value_Test; - Exact_Result_Test; - -- cover a large range - Identity_Test (1.0, Real'Safe_Last); - 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 ("CXG2017", - "Check the accuracy of the TANH 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 CXG2017; |