diff options
Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2020.a')
| -rw-r--r-- | gcc/testsuite/ada/acats/tests/cxg/cxg2020.a | 351 |
1 files changed, 0 insertions, 351 deletions
diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2020.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2020.a deleted file mode 100644 index 1aed4ca5735..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2020.a +++ /dev/null @@ -1,351 +0,0 @@ --- CXG2020.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 SQRT 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: --- 24 Mar 96 SAIC Initial release for 2.1 --- 17 Aug 96 SAIC Incorporated reviewer comments. --- 03 Jun 98 EDS Added parens to ensure that the expression is not --- evaluated by multiplying its two large terms --- together and overflowing. ---! - --- --- 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 CXG2020 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; - - -- 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 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 Sqrt (X : Complex) return Complex renames CEF.Sqrt; - - -- 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; - - - 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 if the argument is exact. - -- - -- One or i is added to the actual and expected results in - -- order to prevent the expected result from having a - -- real or imaginary part of 0. This is to allow a reasonable - -- relative error for that component. - Minimum_Error : constant := 6.0; - Z1, Z2 : Complex; - begin - Check (Sqrt(9.0+0.0*i) + i, - 3.0+1.0*i, - "sqrt(9+0i)+i", - Minimum_Error); - Check (Sqrt (-2.0 + 0.0 * i) + 1.0, - 1.0 + Sqrt2 * i, - "sqrt(-2)+1 ", - Minimum_Error); - - -- make sure no exception occurs when taking the sqrt of - -- very large and very small values. - - Z1 := (Real'Safe_Last * 0.9, Real'Safe_Last * 0.9); - Z2 := Sqrt (Z1); - begin - Check (Z2 * Z2, - Z1, - "sqrt((big,big))", - Minimum_Error + 5.0); -- +5 for multiply - exception - when others => - Report.Failed ("unexpected exception in sqrt((big,big))"); - end; - - Z1 := (Real'Model_Epsilon * 10.0, Real'Model_Epsilon * 10.0); - Z2 := Sqrt (Z1); - begin - Check (Z2 * Z2, - Z1, - "sqrt((little,little))", - Minimum_Error + 5.0); -- +5 for multiply - exception - when others => - Report.Failed ("unexpected exception in " & - "sqrt((little,little))"); - end; - - 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 (Sqrt(0.0 + 0.0*i), 0.0 + 0.0 * i, "sqrt(0+0i)", No_Error); - - -- G.1.2(37);6.0 - Check (Sqrt(1.0 + 0.0*i), 1.0 + 0.0 * i, "sqrt(1+0i)", No_Error); - - -- G.1.2(38-39);6.0 - Check (Sqrt(-1.0 + 0.0*i), 0.0 + 1.0 * i, "sqrt(-1+0i)", No_Error); - - -- G.1.2(40);6.0 - if Real'Signed_Zeros then - Check (Sqrt(-1.0-0.0*i), 0.0 - 1.0 * i, "sqrt(-1-0i)", No_Error); - end if; - 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 of the result. - -- - -- For this test we use the identity - -- Sqrt(Z*Z) = Z - -- - - Scale : Real := Real (Real'Machine_Radix) ** (Real'Mantissa / 2 + 4); - W, X, Y, Z : Real; - CX : Complex; - Actual, Expected : Complex; - begin - Accuracy_Error_Reported := False; -- reset - for II in 1..Max_Samples loop - X := (RB - RA) * Real (II) / Real (Max_Samples) + RA; - for J in 1..Max_Samples loop - Y := (IB - IA) * Real (J) / Real (Max_Samples) + IA; - - -- purify the arguments to minimize roundoff error. - -- We construct the values so that the products X*X, - -- Y*Y, and X*Y are all exact machine numbers. - -- See Cody page 7 and CELEFUNT code. - Z := X * Scale; - W := Z + X; - X := W - Z; - Z := Y * Scale; - W := Z + Y; - Y := W - Z; - -- G.1.2(21);6.0 - real part of result is non-negative - Expected := Compose_From_Cartesian( abs X,Y); - Z := X*X - Y*Y; - W := X*Y; - CX := Compose_From_Cartesian(Z,W+W); - - -- The arguments are now ready so on with the - -- identity computation. - Actual := Sqrt(CX); - - Check (Actual, Expected, - "Identity_1_Test " & Integer'Image (II) & - Integer'Image (J) & ": Sqrt((" & - Real'Image (CX.Re) & ", " & - Real'Image (CX.Im) & ")) ", - 8.5); -- 6.0 from sqrt, 2.5 from argument. - -- See Cody pg 7-8 for analysis of additional error amount. - - 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; - - exception - when Constraint_Error => - Report.Failed - ("Constraint_Error raised in Identity_Test" & - " for X=(" & Real'Image (X) & - ", " & Real'Image (X) & ")"); - when others => - Report.Failed ("exception in Identity_Test" & - " for X=(" & Real'Image (X) & - ", " & Real'Image (X) & ")"); - end Identity_Test; - - - procedure Do_Test is - begin - Special_Value_Test; - Exact_Result_Test; - -- ranges where the sign is the same and where it - -- differs. - Identity_Test ( 0.0, 10.0, 0.0, 10.0); - Identity_Test ( 0.0, 100.0, -100.0, 0.0); - 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 ("CXG2020", - "Check the accuracy of the complex SQRT 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 CXG2020; |