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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2021.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2021.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2021.a deleted file mode 100644 index db49fc845f2..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2021.a +++ /dev/null @@ -1,386 +0,0 @@ --- CXG2021.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 SIN and COS functions return --- 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: --- 27 Mar 96 SAIC Initial release for 2.1 --- 22 Aug 96 SAIC No longer skips test for systems with --- more than 20 digits of precision. --- ---! - --- --- 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 CXG2021 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 Sin (X : Complex) return Complex renames CEF.Sin; - function Cos (X : Complex) return Complex renames CEF.Cos; - - -- 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; - - -- the E_Factor is an additional amount added to the Expected - -- value prior to computing the maximum relative error. - -- This is needed because the error analysis (Cody pg 17-20) - -- requires this additional allowance. - procedure Check (Actual, Expected : Real; - Test_Name : String; - MRE : Real; - E_Factor : Real := 0.0) 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 * Real'Model_Epsilon * (abs Expected + E_Factor); - 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) & - " efactor:" & Real'Image (E_Factor) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result"); - else - Report.Comment (Test_Name & " passed" & - " actual: " & Real'Image (Actual) & - " expected: " & Real'Image (Expected) & - " difference: " & Real'Image (Actual - Expected) & - " max err:" & Real'Image (Max_Error) & - " efactor:" & Real'Image (E_Factor) ); - end if; - end if; - end Check; - - - procedure Check (Actual, Expected : Complex; - Test_Name : String; - MRE : Real; - R_Factor, I_Factor : Real := 0.0) is - begin - Check (Actual.Re, Expected.Re, Test_Name & " real part", - MRE, R_Factor); - Check (Actual.Im, Expected.Im, Test_Name & " imaginary part", - MRE, I_Factor); - 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 if the argument is exact. - -- Since the argument involves Pi, we must allow for this - -- inexact argument. - Minimum_Error : constant := 11.0; - begin - Check (Sin (Pi/2.0 + 0.0*i), - 1.0 + 0.0*i, - "sin(pi/2+0i)", - Minimum_Error + 1.0); - Check (Cos (Pi/2.0 + 0.0*i), - 0.0 + 0.0*i, - "cos(pi/2+0i)", - Minimum_Error + 1.0); - 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 (Sin(0.0 + 0.0*i), 0.0 + 0.0 * i, "sin(0+0i)", No_Error); - Check (Cos(0.0 + 0.0*i), 1.0 + 0.0 * i, "cos(0+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 (RA, RB, IA, IB : Real) is - -- Tests an identity over a range of values specified - -- by the 4 parameters. RA and RB denote the range for the - -- real part while IA and IB denote the range for the - -- imaginary part. - -- - -- For this test we use the identity - -- Sin(Z) = Sin(Z-W) * Cos(W) + Cos(Z-W) * Sin(W) - -- and - -- Cos(Z) = Cos(Z-W) * Cos(W) - Sin(Z-W) * Sin(W) - -- - - X, Y : Real; - Z : Complex; - W : constant Complex := Compose_From_Cartesian(0.0625, 0.0625); - ZmW : Complex; -- Z - W - Sin_ZmW, - Cos_ZmW : Complex; - Actual1, Actual2 : Complex; - R_Factor : Real; -- additional real error factor - I_Factor : Real; -- additional imaginary error factor - Sin_W : constant Complex := (6.2581348413276935585E-2, - 6.2418588008436587236E-2); - -- numeric stability is enhanced by using Cos(W) - 1.0 instead of - -- Cos(W) in the computation. - Cos_W_m_1 : constant Complex := (-2.5431314180235545803E-6, - -3.9062493377261771826E-3); - - - begin - if Real'Digits > 20 then - -- constants used here accurate to 20 digits. Allow 1 - -- additional digit of error for computation. - Error_Low_Bound := 0.00000_00000_00000_0001; - Report.Comment ("accuracy checked to 19 digits"); - end if; - - Accuracy_Error_Reported := False; -- reset - for II in 0..Max_Samples loop - X := (RB - RA) * Real (II) / Real (Max_Samples) + RA; - for J in 0..Max_Samples loop - Y := (IB - IA) * Real (J) / Real (Max_Samples) + IA; - - Z := Compose_From_Cartesian(X,Y); - ZmW := Z - W; - Sin_ZmW := Sin (ZmW); - Cos_ZmW := Cos (ZmW); - - -- now for the first identity - -- Sin(Z) = Sin(Z-W) * Cos(W) + Cos(Z-W) * Sin(W) - -- = Sin(Z-W) * (1+(Cos(W)-1)) + Cos(Z-W) * Sin(W) - -- = Sin(Z-W) + Sin(Z-W)*(Cos(W)-1) + Cos(Z-W)*Sin(W) - - - Actual1 := Sin (Z); - Actual2 := Sin_ZmW + (Sin_ZmW * Cos_W_m_1 + Cos_ZmW * Sin_W); - - -- The computation of the additional error factors are taken - -- from Cody pages 17-20. - - R_Factor := abs (Re (Sin_ZmW) * Re (1.0 - Cos_W_m_1)) + - abs (Im (Sin_ZmW) * Im (1.0 - Cos_W_m_1)) + - abs (Re (Cos_ZmW) * Re (Sin_W)) + - abs (Re (Cos_ZmW) * Re (1.0 - Cos_W_m_1)); - - I_Factor := abs (Re (Sin_ZmW) * Im (1.0 - Cos_W_m_1)) + - abs (Im (Sin_ZmW) * Re (1.0 - Cos_W_m_1)) + - abs (Re (Cos_ZmW) * Im (Sin_W)) + - abs (Im (Cos_ZmW) * Re (1.0 - Cos_W_m_1)); - - Check (Actual1, Actual2, - "Identity_1_Test " & Integer'Image (II) & - Integer'Image (J) & ": Sin((" & - Real'Image (Z.Re) & ", " & - Real'Image (Z.Im) & ")) ", - 11.0, R_Factor, I_Factor); - - -- now for the second identity - -- Cos(Z) = Cos(Z-W) * Cos(W) - Sin(Z-W) * Sin(W) - -- = Cos(Z-W) * (1+(Cos(W)-1) - Sin(Z-W) * Sin(W) - Actual1 := Cos (Z); - Actual2 := Cos_ZmW + (Cos_ZmW * Cos_W_m_1 - Sin_ZmW * Sin_W); - - -- The computation of the additional error factors are taken - -- from Cody pages 17-20. - - R_Factor := abs (Re (Sin_ZmW) * Re (Sin_W)) + - abs (Im (Sin_ZmW) * Im (Sin_W)) + - abs (Re (Cos_ZmW) * Re (1.0 - Cos_W_m_1)) + - abs (Im (Cos_ZmW) * Im (1.0 - Cos_W_m_1)); - - I_Factor := abs (Re (Sin_ZmW) * Im (Sin_W)) + - abs (Im (Sin_ZmW) * Re (Sin_W)) + - abs (Re (Cos_ZmW) * Im (1.0 - Cos_W_m_1)) + - abs (Im (Cos_ZmW) * Re (1.0 - Cos_W_m_1)); - - Check (Actual1, Actual2, - "Identity_2_Test " & Integer'Image (II) & - Integer'Image (J) & ": Cos((" & - Real'Image (Z.Re) & ", " & - Real'Image (Z.Im) & ")) ", - 11.0, R_Factor, I_Factor); - - 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 - Error_Low_Bound := 0.0; -- reset - return; - end if; - end loop; - end loop; - - Error_Low_Bound := 0.0; -- reset - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Identity_Test" & - " for Z=(" & Real'Image (X) & - ", " & Real'Image (Y) & ")"); - when others => - Report.Failed ("exception in Identity_Test" & - " for Z=(" & Real'Image (X) & - ", " & Real'Image (Y) & ")"); - end Identity_Test; - - - procedure Do_Test is - begin - Special_Value_Test; - Exact_Result_Test; - -- test regions where sin and cos have the same sign and - -- about the same magnitude. This will minimize subtraction - -- errors in the identities. - -- See Cody page 17. - Identity_Test (0.0625, 10.0, 0.0625, 10.0); - Identity_Test ( 16.0, 17.0, 16.0, 17.0); - 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 ("CXG2021", - "Check the accuracy of the complex SIN and COS 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 CXG2021; |