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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2002.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a deleted file mode 100644 index 6a1f322e8bf..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a +++ /dev/null @@ -1,468 +0,0 @@ --- CXG2002.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 "abs" or modulus function returns --- results that are within the error bound allowed. --- --- TEST DESCRIPTION: --- This test uses a generic package to compute and check the --- values of the modulus function. In addition, a non-generic --- copy of this package is used to check the non-generic package --- Ada.Numerics.Complex_Types. --- Of special interest is the case where either the real or --- the imaginary part of the argument is very large while the --- other part is very small or 0. --- We want to check that the value is computed such that --- an overflow does not occur. If computed directly from the --- definition --- abs (x+yi) = sqrt(x**2 + y**2) --- then overflow or underflow is much more likely than if the --- argument is normalized first. --- --- 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: --- 31 JAN 96 SAIC Initial release for 2.1 --- 02 JUN 98 EDS Add parens to intermediate calculations. ---! - --- --- Reference: --- 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_Complex_Types; -with Ada.Numerics.Complex_Types; -procedure CXG2002 is - Verbose : constant Boolean := False; - Maximum_Relative_Error : constant := 3.0; - - generic - type Real is digits <>; - package Generic_Check is - procedure Do_Test; - end Generic_Check; - - package body Generic_Check is - package Complex_Types is new - Ada.Numerics.Generic_Complex_Types (Real); - use Complex_Types; - - procedure Check (Actual, Expected : Real; - Test_Name : String; - MRE : Real := Maximum_Relative_Error) is - Rel_Error, - Abs_Error, - Max_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 - Report.Failed (Test_Name & - " actual: " & Real'Image (Actual) & - " expected: " & Real'Image (Expected) & - " difference: " & - Real'Image (Expected - Actual) & - " 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 Do_Test is - Z : Complex; - X : Real; - T : Real; - begin - - --- test 1 --- - begin - T := Real'Safe_Last; - Z := T + 0.0*i; - X := abs Z; - Check (X, T, "test 1 -- abs(bigreal + 0i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - begin - T := Real'Safe_Last; - Z := 0.0 + T*i; - X := Modulus (Z); - Check (X, T, "test 2 -- abs(0 + bigreal*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - begin - Z := 3.0 + 4.0*i; - X := abs Z; - Check (X, 5.0 , "test 3 -- abs(3 + 4*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 3"); - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - S : Real; - begin - S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3); - Z := 3.0 * S + 4.0*S*i; - X := abs Z; - Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S", - 5.0*Real'Model_Epsilon); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 4"); - when others => - Report.Failed ("exception in test 4"); - end; - - --- test 5 --- - begin - T := Real'Model_Small; - Z := T + 0.0*i; - X := abs Z; - Check (X, T , "test 5 -- abs(small + 0*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 5"); - when others => - Report.Failed ("exception in test 5"); - end; - - --- test 6 --- - begin - T := Real'Model_Small; - Z := 0.0 + T*i; - X := abs Z; - Check (X, T , "test 6 -- abs(0 + small*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 6"); - when others => - Report.Failed ("exception in test 6"); - end; - - --- test 7 --- - declare - S : Real; - begin - S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3); - Z := 3.0 * S + 4.0*S*i; - X := abs Z; - Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S", - 5.0*Real'Model_Epsilon); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 7"); - when others => - Report.Failed ("exception in test 7"); - end; - - --- test 8 --- - declare - -- CRC Standard Mathematical Tables; 23rd Edition; pg 738 - Sqrt2 : constant := - 1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695; - begin - Z := 1.0 + 1.0*i; - X := abs Z; - Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 8"); - when others => - Report.Failed ("exception in test 8"); - end; - - --- test 9 --- - begin - T := 0.0; - Z := T + 0.0*i; - X := abs Z; - Check (X, T , "test 5 -- abs(0 + 0*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 9"); - when others => - Report.Failed ("exception in test 9"); - end; - end Do_Test; - end Generic_Check; - - ----------------------------------------------------------------------- - --- non generic copy of the above generic package - ----------------------------------------------------------------------- - - package Non_Generic_Check is - subtype Real is Float; - procedure Do_Test; - end Non_Generic_Check; - - package body Non_Generic_Check is - use Ada.Numerics.Complex_Types; - - procedure Check (Actual, Expected : Real; - Test_Name : String; - MRE : Real := Maximum_Relative_Error) is - Rel_Error, - Abs_Error, - Max_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 - Report.Failed (Test_Name & - " actual: " & Real'Image (Actual) & - " expected: " & Real'Image (Expected) & - " difference: " & - Real'Image (Expected - Actual) & - " 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 Do_Test is - Z : Complex; - X : Real; - T : Real; - begin - - --- test 1 --- - begin - T := Real'Safe_Last; - Z := T + 0.0*i; - X := abs Z; - Check (X, T, "test 1 -- abs(bigreal + 0i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - begin - T := Real'Safe_Last; - Z := 0.0 + T*i; - X := Modulus (Z); - Check (X, T, "test 2 -- abs(0 + bigreal*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - begin - Z := 3.0 + 4.0*i; - X := abs Z; - Check (X, 5.0 , "test 3 -- abs(3 + 4*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 3"); - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - S : Real; - begin - S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3); - Z := 3.0 * S + 4.0*S*i; - X := abs Z; - Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S", - 5.0*Real'Model_Epsilon); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 4"); - when others => - Report.Failed ("exception in test 4"); - end; - - --- test 5 --- - begin - T := Real'Model_Small; - Z := T + 0.0*i; - X := abs Z; - Check (X, T , "test 5 -- abs(small + 0*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 5"); - when others => - Report.Failed ("exception in test 5"); - end; - - --- test 6 --- - begin - T := Real'Model_Small; - Z := 0.0 + T*i; - X := abs Z; - Check (X, T , "test 6 -- abs(0 + small*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 6"); - when others => - Report.Failed ("exception in test 6"); - end; - - --- test 7 --- - declare - S : Real; - begin - S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3); - Z := 3.0 * S + 4.0*S*i; - X := abs Z; - Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S", - 5.0*Real'Model_Epsilon); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 7"); - when others => - Report.Failed ("exception in test 7"); - end; - - --- test 8 --- - declare - -- CRC Standard Mathematical Tables; 23rd Edition; pg 738 - Sqrt2 : constant := - 1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695; - begin - Z := 1.0 + 1.0*i; - X := abs Z; - Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 8"); - when others => - Report.Failed ("exception in test 8"); - end; - - --- test 9 --- - begin - T := 0.0; - Z := T + 0.0*i; - X := abs Z; - Check (X, T , "test 5 -- abs(0 + 0*i)"); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 9"); - when others => - Report.Failed ("exception in test 9"); - end; - end Do_Test; - end Non_Generic_Check; - - ----------------------------------------------------------------------- - --- end of "manual instantiation" - ----------------------------------------------------------------------- - package Chk_Float is new Generic_Check (Float); - - -- check the floating point type with the most digits - type A_Long_Float is digits System.Max_Digits; - package Chk_A_Long_Float is new Generic_Check (A_Long_Float); -begin - Report.Test ("CXG2002", - "Check the accuracy of the complex modulus" & - " function"); - - if Verbose then - Report.Comment ("checking Standard.Float"); - end if; - Chk_Float.Do_Test; - - if Verbose then - Report.Comment ("checking a digits" & - Integer'Image (System.Max_Digits) & - " floating point type"); - end if; - Chk_A_Long_Float.Do_Test; - - if Verbose then - Report.Comment ("checking non-generic package"); - end if; - Non_Generic_Check.Do_Test; - Report.Result; -end CXG2002; |