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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2012.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a deleted file mode 100644 index 6a665d0e077..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a +++ /dev/null @@ -1,438 +0,0 @@ --- CXG2012.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 exponentiation operator 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 that use an identity for determining the result. --- Exception checks. --- While this test concentrates on the "**" operator --- defined in Generic_Elementary_Functions, a check is also --- performed on the standard "**" operator. --- --- 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: --- 7 Mar 96 SAIC Initial release for 2.1 --- 2 Sep 96 SAIC Improvements as suggested by reviewers --- 3 Jun 98 EDS Add parens to ensure that the expression is not --- evaluated by multiplying its two large terms --- together and overflowing. --- 3 Dec 01 RLB Added 'Machine to insure that equality tests --- are certain to work. --- ---! - --- --- 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 CXG2012 is - Verbose : constant Boolean := False; - Max_Samples : constant := 1000; - - -- 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; - - - 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 Exp (X : Real) return Real renames - Elementary_Functions.Exp; - function Log (X : Real) return Real renames - Elementary_Functions.Log; - function "**" (L, R : Real) return Real renames - Elementary_Functions."**"; - - -- 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_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; - - - -- the following version of Check computes the allowed error bound - -- using the operands - procedure Check (Actual, Expected : Real; - Left, Right : Real; - Test_Name : String; - MRE_Factor : Real := 1.0) is - MRE : Real; - begin - MRE := MRE_Factor * (4.0 + abs (Right * Log(Left)) / 32.0); - Check (Actual, Expected, Test_Name, MRE); - end Check; - - - procedure Real_To_Integer_Test is - type Int_Check is - record - Left : Real; - Right : Integer; - Expected : Real; - end record; - type Int_Checks is array (Positive range <>) of Int_Check; - - -- the following tests use only model numbers so the result - -- is expected to be exact. - IC : constant Int_Checks := - ( ( 2.0, 5, 32.0), - ( -2.0, 5, -32.0), - ( 0.5, -5, 32.0), - ( 2.0, 0, 1.0), - ( 0.0, 0, 1.0) ); - begin - for I in IC'Range loop - declare - Y : Real; - begin - Y := IC (I).Left ** IC (I).Right; - Check (Y, IC (I).Expected, - "real to integer test" & - Real'Image (IC (I).Left) & " ** " & - Integer'Image (IC (I).Right), - 0.0); -- no error allowed - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in rtoi test " & - Integer'Image (I)); - when others => - Report.Failed ("exception in rtoi test " & - Integer'Image (I)); - end; - end loop; - end Real_To_Integer_Test; - - - procedure Special_Value_Test is - No_Error : constant := 0.0; - begin - Check (0.0 ** 1.0, 0.0, "0**1", No_Error); - Check (1.0 ** 0.0, 1.0, "1**0", No_Error); - - Check ( 2.0 ** 5.0, 32.0, 2.0, 5.0, "2**5"); - Check ( 0.5**(-5.0), 32.0, 0.5, -5.0, "0.5**-5"); - - Check (Sqrt2 ** 4.0, 4.0, Sqrt2, 4.0, "Sqrt2**4"); - Check (Sqrt3 ** 6.0, 27.0, Sqrt3, 6.0, "Sqrt3**6"); - - Check (2.0 ** 0.5, Sqrt2, 2.0, 0.5, "2.0**0.5"); - - 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 Small_Range_Test is - -- Several checks over the range 1/radix .. 1 - A : constant Real := 1.0 / Real (Real'Machine_Radix); - B : constant Real := 1.0; - X : Real; - -- In the cases below where the expected result is - -- inexact we allow an additional error amount of - -- 1.0 * Model_Epsilon to account for that error. - -- This is accomplished by the factor of 1.25 times - -- the computed error bound (which is > 4.0) thus - -- increasing the error bound by at least - -- 1.0 * Model_Epsilon - begin - Accuracy_Error_Reported := False; -- reset - for I in 0..Max_Samples loop - X := Real'Machine((B - A) * Real (I) / Real (Max_Samples) + A); - - Check (X ** 1.0, X, -- exact result required - "Small range" & Integer'Image (I) & ": " & - Real'Image (X) & " ** 1.0", - 0.0); - - Check ((X*X) ** 1.5, X**3, X*X, 1.5, - "Small range" & Integer'Image (I) & ": " & - Real'Image (X*X) & " ** 1.5", - 1.25); - - Check (X ** 13.5, 1.0 / (X ** (-13.5)), X, 13.5, - "Small range" & Integer'Image (I) & ": " & - Real'Image (X) & " ** 13.5", - 2.0); -- 2 ** computations - - Check ((X*X) ** 1.25, X**(2.5), X*X, 1.25, - "Small range" & Integer'Image (I) & ": " & - Real'Image (X*X) & " ** 1.25", - 2.0); -- 2 ** computations - - 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 Small Range Test"); - when others => - Report.Failed ("exception in Small Range Test"); - end Small_Range_Test; - - - procedure Large_Range_Test is - -- Check over the range A to B where A is 1.0 and - -- B is a large value. - A : constant Real := 1.0; - B : Real; - X : Real; - Iteration : Integer := 0; - Subtest : Character := 'X'; - begin - -- upper bound of range should be as large as possible where - -- B**3 is still valid. - B := Real'Safe_Last ** 0.333; - Accuracy_Error_Reported := False; -- reset - for I in 0..Max_Samples loop - Iteration := I; - Subtest := 'X'; - X := Real'Machine((B - A) * (Real (I) / Real (Max_Samples)) + A); - - Subtest := 'A'; - Check (X ** 1.0, X, -- exact result required - "Large range" & Integer'Image (I) & ": " & - Real'Image (X) & " ** 1.0", - 0.0); - - Subtest := 'B'; - Check ((X*X) ** 1.5, X**3, X*X, 1.5, - "Large range" & Integer'Image (I) & ": " & - Real'Image (X*X) & " ** 1.5", - 1.25); -- inexact expected result - - Subtest := 'C'; - Check ((X*X) ** 1.25, X**(2.5), X*X, 1.25, - "Large range" & Integer'Image (I) & ": " & - Real'Image (X*X) & " ** 1.25", - 2.0); -- two ** operators - - 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 Large Range Test" & - Integer'Image (Iteration) & Subtest); - when others => - Report.Failed ("exception in Large Range Test" & - Integer'Image (Iteration) & Subtest); - end Large_Range_Test; - - - procedure Exception_Test is - X1, X2, X3, X4 : Real; - begin - begin - X1 := 0.0 ** (-1.0); - Report.Failed ("exception not raised for 0**-1"); - exception - when Ada.Numerics.Argument_Error => - Report.Failed ("argument_error raised instead of" & - " constraint_error for 0**-1"); - when Constraint_Error => null; -- ok - when others => - Report.Failed ("wrong exception raised for 0**-1"); - end; - - begin - X2 := 0.0 ** 0.0; - Report.Failed ("exception not raised for 0**0"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for 0**0"); - when others => - Report.Failed ("wrong exception raised for 0**0"); - end; - - begin - X3 := (-1.0) ** 1.0; - Report.Failed ("exception not raised for -1**1"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for -1**1"); - when others => - Report.Failed ("wrong exception raised for -1**1"); - end; - - begin - X4 := (-2.0) ** 2.0; - Report.Failed ("exception not raised for -2**2"); - exception - when Ada.Numerics.Argument_Error => null; -- ok - when Constraint_Error => - Report.Failed ("constraint_error raised instead of" & - " argument_error for -2**2"); - when others => - Report.Failed ("wrong exception raised for -2**2"); - 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 - Real_To_Integer_Test; - Special_Value_Test; - Small_Range_Test; - Large_Range_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 ("CXG2012", - "Check the accuracy of the ** operator"); - - 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 CXG2012; |