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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2014.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2014.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2014.a deleted file mode 100644 index 48499a2556f..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2014.a +++ /dev/null @@ -1,399 +0,0 @@ --- CXG2014.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 SINH and COSH 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: --- 15 Mar 96 SAIC Initial release for 2.1 --- 03 Jun 98 EDS In line 80, change 1000 to 1024, making it a model --- number. Add Taylor Series terms in line 281. --- 15 Feb 99 RLB Repaired Subtraction_Error_Test to avoid precision --- problems. ---! - --- --- 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 CXG2014 is - Verbose : constant Boolean := False; - Max_Samples : constant := 1024; - - E : constant := Ada.Numerics.E; - Cosh1 : constant := (E + 1.0 / E) / 2.0; -- cosh(1.0) - - 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 Sinh (X : Real) return Real renames - Elementary_Functions.Sinh; - function Cosh (X : Real) return Real renames - Elementary_Functions.Cosh; - function Log (X : Real) return Real renames - Elementary_Functions.Log; - - -- flag used to terminate some tests early - Accuracy_Error_Reported : Boolean := False; - - - 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; - - 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; - begin - Check (Sinh (1.0), - (E - 1.0 / E) / 2.0, - "sinh(1)", - Minimum_Error); - Check (Cosh (1.0), - Cosh1, - "cosh(1)", - Minimum_Error); - Check (Sinh (2.0), - (E * E - (1.0 / (E * E))) / 2.0, - "sinh(2)", - Minimum_Error); - Check (Cosh (2.0), - (E * E + (1.0 / (E * E))) / 2.0, - "cosh(2)", - Minimum_Error); - Check (Sinh (-1.0), - (1.0 / E - E) / 2.0, - "sinh(-1)", - 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 (Sinh (0.0), 0.0, "sinh(0)", No_Error); - Check (Cosh (0.0), 1.0, "cosh(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_1_Test is - -- For the Sinh test use the identity - -- 2 * Sinh(x) * Cosh(1) = Sinh(x+1) + Sinh (x-1) - -- which is transformed to - -- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C - -- where C = 1/(2*Cosh(1)) - -- - -- For the Cosh test use the identity - -- 2 * Cosh(x) * Cosh(1) = Cosh(x+1) + Cosh(x-1) - -- which is transformed to - -- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1)) - -- where C is the same as above - -- - -- see Cody pg 230-231 for details on the error analysis. - -- The net result is a relative error bound of 16 * Model_Epsilon. - - A : constant := 3.0; - -- large upper bound but not so large as to cause Cosh(B) - -- to overflow - B : constant Real := Log(Real'Safe_Last) - 2.0; - X_Minus_1, X, X_Plus_1 : Real; - Actual1, Actual2 : Real; - C : constant := 1.0 / (2.0 * Cosh1); - begin - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - -- make sure there is no error in x-1, x, and x+1 - X_Plus_1 := (B - A) * Real (I) / Real (Max_Samples) + A; - X_Plus_1 := Real'Machine (X_Plus_1); - X := Real'Machine (X_Plus_1 - 1.0); - X_Minus_1 := Real'Machine (X - 1.0); - - -- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C - Actual1 := Sinh(X); - Actual2 := C * (Sinh(X_Plus_1) + Sinh(X_Minus_1)); - - Check (Actual1, Actual2, - "Identity_1_Test " & Integer'Image (I) & ": sinh(" & - Real'Image (X) & ") ", - 16.0); - - -- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1)) - Actual1 := Cosh (X); - Actual2 := C * (Cosh(X_Plus_1) + Cosh (X_Minus_1)); - Check (Actual1, Actual2, - "Identity_1_Test " & Integer'Image (I) & ": cosh(" & - 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; - - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Identity_1_Test" & - " for X=" & Real'Image (X)); - when others => - Report.Failed ("exception in Identity_1_Test" & - " for X=" & Real'Image (X)); - end Identity_1_Test; - - - - procedure Subtraction_Error_Test is - -- This test detects the error resulting from subtraction if - -- the obvious algorithm was used for computing sinh. That is, - -- it it is computed as (e**x - e**-x)/2. - -- We check the result by using a Taylor series expansion that - -- will produce a result accurate to the machine precision for - -- the range under test. - -- - -- The maximum relative error bound for this test is - -- 8 for the sinh operation and 7 for the Taylor series - -- for a total of 15 * Model_Epsilon - A : constant := 0.0; - B : constant := 0.5; - X : Real; - X_Squared : Real; - Actual, Expected : Real; - begin - if Real'digits > 15 then - return; -- The approximation below is not accurate beyond - -- 15 digits. Adding more terms makes the error - -- larger, so it makes the test worse for more normal - -- values. Thus, we skip this subtest for larger than - -- 15 digits. - end if; - Accuracy_Error_Reported := False; -- reset - for I in 1..Max_Samples loop - X := (B - A) * Real (I) / Real (Max_Samples) + A; - X_Squared := X * X; - - Actual := Sinh(X); - - -- The Taylor series regrouped a bit - Expected := - X * (1.0 + (X_Squared / 6.0) * - (1.0 + (X_Squared/20.0) * - (1.0 + (X_Squared/42.0) * - (1.0 + (X_Squared/72.0) * - (1.0 + (X_Squared/110.0) * - (1.0 + (X_Squared/156.0) - )))))); - - Check (Actual, Expected, - "Subtraction_Error_Test " & Integer'Image (I) & ": sinh(" & - Real'Image (X) & ") ", - 15.0); - - 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 Subtraction_Error_Test"); - when others => - Report.Failed ("exception in Subtraction_Error_Test"); - end Subtraction_Error_Test; - - - procedure Exception_Test is - X1, X2 : Real := 0.0; - begin - -- this part of the test is only applicable if 'Machine_Overflows - -- is true. - if Real'Machine_Overflows then - - begin - X1 := Sinh (Real'Safe_Last / 2.0); - Report.Failed ("no exception for sinh overflow"); - exception - when Constraint_Error => null; - when others => - Report.Failed ("wrong exception sinh overflow"); - end; - - begin - X2 := Cosh (Real'Safe_Last / 2.0); - Report.Failed ("no exception for cosh overflow"); - exception - when Constraint_Error => null; - when others => - Report.Failed ("wrong exception cosh overflow"); - end; - - end if; - - -- optimizer thwarting - if Report.Ident_Bool (False) then - Report.Comment (Real'Image (X1 + X2)); - end if; - end Exception_Test; - - - procedure Do_Test is - begin - Special_Value_Test; - Exact_Result_Test; - Identity_1_Test; - Subtraction_Error_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 ("CXG2014", - "Check the accuracy of the SINH and COSH 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 CXG2014; |