From 554fd8c5195424bdbcabf5de30fdc183aba391bd Mon Sep 17 00:00:00 2001 From: upstream source tree Date: Sun, 15 Mar 2015 20:14:05 -0400 Subject: obtained gcc-4.6.4.tar.bz2 from upstream website; verified gcc-4.6.4.tar.bz2.sig; imported gcc-4.6.4 source tree from verified upstream tarball. downloading a git-generated archive based on the 'upstream' tag should provide you with a source tree that is binary identical to the one extracted from the above tarball. if you have obtained the source via the command 'git clone', however, do note that line-endings of files in your working directory might differ from line-endings of the respective files in the upstream repository. --- gcc/testsuite/ada/acats/tests/cxg/cxg2002.a | 468 ++++++++++++++++++++++++++++ 1 file changed, 468 insertions(+) create mode 100644 gcc/testsuite/ada/acats/tests/cxg/cxg2002.a (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2002.a') diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a new file mode 100644 index 000000000..6a1f322e8 --- /dev/null +++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2002.a @@ -0,0 +1,468 @@ +-- 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; -- cgit v1.2.3