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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2018.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2018.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2018.a deleted file mode 100644 index be4f1a82faf..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2018.a +++ /dev/null @@ -1,355 +0,0 @@ --- CXG2018.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 complex EXP 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 complex numbers based upon --- 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: --- 21 Mar 96 SAIC Initial release for 2.1 --- 17 Aug 96 SAIC Incorporated reviewer comments. --- 27 Aug 99 RLB Repair on the error result of checks. --- 02 Apr 03 RLB Added code to discard excess precision in the --- construction of the test value for the --- Identity_Test. --- ---! - --- --- References: --- --- W. J. Cody --- CELEFUNT: A Portable Test Package for Complex Elementary Functions --- Algorithm 714, Collected Algorithms from ACM. --- Published in Transactions On Mathematical Software, --- Vol. 19, No. 1, March, 1993, pp. 1-21. --- --- CRC Standard Mathematical Tables --- 23rd Edition --- - -with System; -with Report; -with Ada.Numerics.Generic_Complex_Types; -with Ada.Numerics.Generic_Complex_Elementary_Functions; -procedure CXG2018 is - Verbose : constant Boolean := False; - -- Note that Max_Samples is the number of samples taken in - -- both the real and imaginary directions. Thus, for Max_Samples - -- of 100 the number of values checked is 10000. - Max_Samples : constant := 100; - - E : constant := Ada.Numerics.E; - 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 Complex_Type is new - Ada.Numerics.Generic_Complex_Types (Real); - use Complex_Type; - - package CEF is new - Ada.Numerics.Generic_Complex_Elementary_Functions (Complex_Type); - - function Exp (X : Complex) return Complex renames CEF.Exp; - function Exp (X : Imaginary) return Complex renames CEF.Exp; - - -- 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 Check (Actual, Expected : Complex; - Test_Name : String; - MRE : Real) is - begin - Check (Actual.Re, Expected.Re, Test_Name & " real part", MRE); - Check (Actual.Im, Expected.Im, Test_Name & " imaginary part", MRE); - 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. - -- - -- The error bounds given assumed z is exact. When using - -- pi there is an extra error of 1.0ME. - -- The pi inside the exp call requires that the complex - -- component have an extra error allowance of 1.0*angle*ME. - -- Thus for pi/2,the Minimum_Error_I is - -- (2.0 + 1.0(pi/2))ME <= 3.6ME. - -- For pi, it is (2.0 + 1.0*pi)ME <= 5.2ME, - -- and for 2pi, it is (2.0 + 1.0(2pi))ME <= 8.3ME. - - -- The addition of 1 or i to a result is so that neither of - -- the components of an expected result is 0. This is so - -- that a reasonable relative error is allowed. - Minimum_Error_C : constant := 7.0; -- for exp(Complex) - Minimum_Error_I : constant := 2.0; -- for exp(Imaginary) - begin - Check (Exp (1.0 + 0.0*i) + i, - E + i, - "exp(1+0i)", - Minimum_Error_C); - Check (Exp ((Pi / 2.0) * i) + 1.0, - 1.0 + 1.0*i, - "exp(pi/2*i)", - 3.6); - Check (Exp (Pi * i) + i, - -1.0 + 1.0*i, - "exp(pi*i)", - 5.2); - Check (Exp (Pi * 2.0 * i) + i, - 1.0 + i, - "exp(2pi*i)", - 8.3); - 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 - -- G.1.2(36);6.0 - Check (Exp(0.0 + 0.0*i), 1.0 + 0.0 * i, "exp(0+0i)", No_Error); - Check (Exp( 0.0*i), 1.0 + 0.0 * i, "exp(0i)", 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 - -- Exp(Z) = Exp(Z-W) * Exp (W) - -- where W = (1+i)/16 - -- - -- The second part of this test checks the identity - -- Exp(Z) * Exp(-Z) = 1 - -- - - X, Y : Complex; - Actual1, Actual2 : Complex; - W : constant Complex := (0.0625, 0.0625); - -- the following constant was taken from the CELEFUNC EXP test. - -- This is the value EXP(W) - 1 - C : constant Complex := (6.2416044877018563681e-2, - 6.6487597751003112768e-2); - begin - if Real'Digits > 20 then - -- constant ExpW is accurate to 20 digits. - -- The low bound is 19 * 10**-20 - Error_Low_Bound := 0.00000_00000_00019; - Report.Comment ("complex exp accuracy checked to 20 digits"); - end if; - - Accuracy_Error_Reported := False; -- reset - for II in 1..Max_Samples loop - X.Re := Real'Machine ((B - A) * Real (II) / Real (Max_Samples) - + A); - for J in 1..Max_Samples loop - X.Im := Real'Machine ((B - A) * Real (J) / Real (Max_Samples) - + A); - - Actual1 := Exp(X); - - -- Exp(X) = Exp(X-W) * Exp (W) - -- = Exp(X-W) * (1 - (1-Exp(W)) - -- = Exp(X-W) * (1 + (Exp(W) - 1)) - -- = Exp(X-W) * (1 + C) - Y := X - W; - Actual2 := Exp(Y); - Actual2 := Actual2 + Actual2 * C; - - Check (Actual1, Actual2, - "Identity_1_Test " & Integer'Image (II) & - Integer'Image (J) & ": Exp((" & - Real'Image (X.Re) & ", " & - Real'Image (X.Im) & ")) ", - 20.0); -- 2 exp and 1 multiply and 1 add = 2*7+1*5+1 - -- Note: The above is not strictly correct, as multiply - -- has a box error, rather than a relative error. - -- Supposedly, the interval is chosen to avoid the need - -- to worry about this. - - -- Exp(X) * Exp(-X) + i = 1 + i - -- The addition of i is to allow a reasonable relative - -- error in the imaginary part - Actual2 := (Actual1 * Exp(-X)) + i; - Check (Actual2, (1.0, 1.0), - "Identity_2_Test " & Integer'Image (II) & - Integer'Image (J) & ": Exp((" & - Real'Image (X.Re) & ", " & - Real'Image (X.Im) & ")) ", - 20.0); -- 2 exp and 1 multiply and one add = 2*7+1*5+1 - - 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; - end loop; - Error_Low_Bound := 0.0; - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Identity_Test" & - " for X=(" & Real'Image (X.Re) & - ", " & Real'Image (X.Im) & ")"); - when others => - Report.Failed ("exception in Identity_Test" & - " for X=(" & Real'Image (X.Re) & - ", " & Real'Image (X.Im) & ")"); - end Identity_Test; - - - - procedure Do_Test is - begin - Special_Value_Test; - Exact_Result_Test; - -- test regions where we can avoid cancellation error problems - -- See Cody page 10. - Identity_Test (0.0625, 1.0); - Identity_Test (15.0, 17.0); - Identity_Test (1.625, 3.0); - 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 ("CXG2018", - "Check the accuracy of the complex EXP 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 CXG2018; |