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/cxg2003.a | 701 ++++++++++++++++++++++++++++ 1 file changed, 701 insertions(+) create mode 100644 gcc/testsuite/ada/acats/tests/cxg/cxg2003.a (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2003.a') diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2003.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2003.a new file mode 100644 index 000000000..d1a225a50 --- /dev/null +++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2003.a @@ -0,0 +1,701 @@ +-- CXG2003.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 sqrt function returns +-- results that are within the error bound allowed. +-- +-- TEST DESCRIPTION: +-- This test contains three test packages that are almost +-- identical. The first two packages differ only in the +-- floating point type that is being tested. The first +-- and third package differ only in whether the generic +-- elementary functions package or the pre-instantiated +-- package is used. +-- The test package is not generic so that the arguments +-- and expected results for some of the test values +-- can be expressed as universal real instead of being +-- computed at runtime. +-- +-- 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: +-- 2 FEB 96 SAIC Initial release for 2.1 +-- 18 AUG 96 SAIC Made Check consistent with other tests. +-- +--! + +with System; +with Report; +with Ada.Numerics.Generic_Elementary_Functions; +with Ada.Numerics.Elementary_Functions; +procedure CXG2003 is + Verbose : constant Boolean := False; + + package Float_Check is + subtype Real is Float; + procedure Do_Test; + end Float_Check; + + package body Float_Check is + package Elementary_Functions is new + Ada.Numerics.Generic_Elementary_Functions (Real); + function Sqrt (X : Real) return Real renames + Elementary_Functions.Sqrt; + function Log (X : Real) return Real renames + Elementary_Functions.Log; + function Exp (X : Real) return Real renames + Elementary_Functions.Exp; + + -- The default Maximum Relative Error is the value specified + -- in the LRM. + Default_MRE : constant Real := 2.0; + + procedure Check (Actual, Expected : Real; + Test_Name : String; + MRE : Real := Default_MRE) is + Rel_Error : Real; + Abs_Error : Real; + 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 (Actual - Expected) & + " mre:" & 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 Argument_Range_Check (A, B : Real; + Test : String) is + -- test a logarithmically distributed selection of + -- arguments selected from the range A to B. + X : Real; + Expected : Real; + Y : Real; + C : Real := Log(B/A); + Max_Samples : constant := 1000; + + begin + for I in 1..Max_Samples loop + Expected := A * Exp(C * Real (I) / Real (Max_Samples)); + X := Expected * Expected; + Y := Sqrt (X); + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (Y, Expected, + "test " & Test & " -" & + Integer'Image (I) & + " of argument range", + 3.0); + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check"); + when others => + Report.Failed ("exception in argument range check"); + end Argument_Range_Check; + + procedure Do_Test is + begin + + --- test 1 --- + declare + T : constant := (Real'Machine_EMax - 1) / 2; + X : constant := (1.0 * Real'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Real'Machine_Radix) ** T; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 1 -- sqrt(radix**((emax-1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + T : constant := (Real'Model_EMin + 1) / 2; + X : constant := (1.0 * Real'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Real'Machine_Radix) ** T; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 2 -- sqrt(radix**((emin+1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + X : constant := 1.0; + Expected : constant := 1.0; + Y : Real; + begin + Y := Sqrt(X); + Check (Y, Expected, "test 3 -- sqrt(1.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + X : constant := 0.0; + Expected : constant := 0.0; + Y : Real; + begin + Y := Sqrt(X); + Check (Y, Expected, "test 4 -- sqrt(0.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 4"); + when others => + Report.Failed ("exception in test 4"); + end; + + --- test 5 --- + declare + X : constant := -1.0; + Y : Real; + begin + Y := Sqrt(X); + -- the following code should not be executed. + -- The call to Check is to keep the call to Sqrt from + -- appearing to be dead code. + Check (Y, -1.0, "test 5 -- sqrt(-1)" ); + Report.Failed ("test 5 - argument_error expected"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 5"); + when Ada.Numerics.Argument_Error => + if Verbose then + Report.Comment ("test 5 correctly got argument_error"); + end if; + when others => + Report.Failed ("exception in test 5"); + end; + + --- test 6 --- + declare + X : constant := Ada.Numerics.Pi ** 2; + Expected : constant := Ada.Numerics.Pi; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 6 -- sqrt(pi**2)"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 6"); + when others => + Report.Failed ("exception in test 6"); + end; + + --- test 7 & 8 --- + Argument_Range_Check (1.0/Sqrt(Real(Real'Machine_Radix)), + 1.0, + "7"); + Argument_Range_Check (1.0, + Sqrt(Real(Real'Machine_Radix)), + "8"); + end Do_Test; + end Float_Check; + + ----------------------------------------------------------------------- + ----------------------------------------------------------------------- + -- check the floating point type with the most digits + type A_Long_Float is digits System.Max_Digits; + + + package A_Long_Float_Check is + subtype Real is A_Long_Float; + procedure Do_Test; + end A_Long_Float_Check; + + package body A_Long_Float_Check is + package Elementary_Functions is new + Ada.Numerics.Generic_Elementary_Functions (Real); + function Sqrt (X : Real) return Real renames + Elementary_Functions.Sqrt; + function Log (X : Real) return Real renames + Elementary_Functions.Log; + function Exp (X : Real) return Real renames + Elementary_Functions.Exp; + + -- The default Maximum Relative Error is the value specified + -- in the LRM. + Default_MRE : constant Real := 2.0; + + procedure Check (Actual, Expected : Real; + Test_Name : String; + MRE : Real := Default_MRE) is + Rel_Error : Real; + Abs_Error : Real; + 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 (Actual - Expected) & + " mre:" & 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 Argument_Range_Check (A, B : Real; + Test : String) is + -- test a logarithmically distributed selection of + -- arguments selected from the range A to B. + X : Real; + Expected : Real; + Y : Real; + C : Real := Log(B/A); + Max_Samples : constant := 1000; + + begin + for I in 1..Max_Samples loop + Expected := A * Exp(C * Real (I) / Real (Max_Samples)); + X := Expected * Expected; + Y := Sqrt (X); + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (Y, Expected, + "test " & Test & " -" & + Integer'Image (I) & + " of argument range", + 3.0); + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check"); + when others => + Report.Failed ("exception in argument range check"); + end Argument_Range_Check; + + + procedure Do_Test is + begin + + --- test 1 --- + declare + T : constant := (Real'Machine_EMax - 1) / 2; + X : constant := (1.0 * Real'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Real'Machine_Radix) ** T; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 1 -- sqrt(radix**((emax-1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + T : constant := (Real'Model_EMin + 1) / 2; + X : constant := (1.0 * Real'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Real'Machine_Radix) ** T; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 2 -- sqrt(radix**((emin+1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + X : constant := 1.0; + Expected : constant := 1.0; + Y : Real; + begin + Y := Sqrt(X); + Check (Y, Expected, "test 3 -- sqrt(1.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + X : constant := 0.0; + Expected : constant := 0.0; + Y : Real; + begin + Y := Sqrt(X); + Check (Y, Expected, "test 4 -- sqrt(0.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 4"); + when others => + Report.Failed ("exception in test 4"); + end; + + --- test 5 --- + declare + X : constant := -1.0; + Y : Real; + begin + Y := Sqrt(X); + -- the following code should not be executed. + -- The call to Check is to keep the call to Sqrt from + -- appearing to be dead code. + Check (Y, -1.0, "test 5 -- sqrt(-1)" ); + Report.Failed ("test 5 - argument_error expected"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 5"); + when Ada.Numerics.Argument_Error => + if Verbose then + Report.Comment ("test 5 correctly got argument_error"); + end if; + when others => + Report.Failed ("exception in test 5"); + end; + + --- test 6 --- + declare + X : constant := Ada.Numerics.Pi ** 2; + Expected : constant := Ada.Numerics.Pi; + Y : Real; + begin + Y := Sqrt (X); + Check (Y, Expected, "test 6 -- sqrt(pi**2)"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 6"); + when others => + Report.Failed ("exception in test 6"); + end; + + --- test 7 & 8 --- + Argument_Range_Check (1.0/Sqrt(Real(Real'Machine_Radix)), + 1.0, + "7"); + Argument_Range_Check (1.0, + Sqrt(Real(Real'Machine_Radix)), + "8"); + end Do_Test; + end A_Long_Float_Check; + + ----------------------------------------------------------------------- + ----------------------------------------------------------------------- + + package Non_Generic_Check is + procedure Do_Test; + end Non_Generic_Check; + + package body Non_Generic_Check is + package EF renames + Ada.Numerics.Elementary_Functions; + subtype Real is Float; + + -- The default Maximum Relative Error is the value specified + -- in the LRM. + Default_MRE : constant Real := 2.0; + + procedure Check (Actual, Expected : Real; + Test_Name : String; + MRE : Real := Default_MRE) is + Rel_Error : Real; + Abs_Error : Real; + 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 (Actual - Expected) & + " mre:" & 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 Argument_Range_Check (A, B : Float; + Test : String) is + -- test a logarithmically distributed selection of + -- arguments selected from the range A to B. + X : Float; + Expected : Float; + Y : Float; + C : Float := EF.Log(B/A); + Max_Samples : constant := 1000; + + begin + for I in 1..Max_Samples loop + Expected := A * EF.Exp(C * Float (I) / Float (Max_Samples)); + X := Expected * Expected; + Y := EF.Sqrt (X); + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (Y, Expected, + "test " & Test & " -" & + Integer'Image (I) & + " of argument range", + 3.0); + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check"); + when others => + Report.Failed ("exception in argument range check"); + end Argument_Range_Check; + + + procedure Do_Test is + begin + + --- test 1 --- + declare + T : constant := (Float'Machine_EMax - 1) / 2; + X : constant := (1.0 * Float'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Float'Machine_Radix) ** T; + Y : Float; + begin + Y := EF.Sqrt (X); + Check (Y, Expected, "test 1 -- sqrt(radix**((emax-1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + T : constant := (Float'Model_EMin + 1) / 2; + X : constant := (1.0 * Float'Machine_Radix) ** (2 * T); + Expected : constant := (1.0 * Float'Machine_Radix) ** T; + Y : Float; + begin + Y := EF.Sqrt (X); + Check (Y, Expected, "test 2 -- sqrt(radix**((emin+1)/2))"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + X : constant := 1.0; + Expected : constant := 1.0; + Y : Float; + begin + Y := EF.Sqrt(X); + Check (Y, Expected, "test 3 -- sqrt(1.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + X : constant := 0.0; + Expected : constant := 0.0; + Y : Float; + begin + Y := EF.Sqrt(X); + Check (Y, Expected, "test 4 -- sqrt(0.0)", + 0.0); -- no error allowed + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 4"); + when others => + Report.Failed ("exception in test 4"); + end; + + --- test 5 --- + declare + X : constant := -1.0; + Y : Float; + begin + Y := EF.Sqrt(X); + -- the following code should not be executed. + -- The call to Check is to keep the call to Sqrt from + -- appearing to be dead code. + Check (Y, -1.0, "test 5 -- sqrt(-1)" ); + Report.Failed ("test 5 - argument_error expected"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 5"); + when Ada.Numerics.Argument_Error => + if Verbose then + Report.Comment ("test 5 correctly got argument_error"); + end if; + when others => + Report.Failed ("exception in test 5"); + end; + + --- test 6 --- + declare + X : constant := Ada.Numerics.Pi ** 2; + Expected : constant := Ada.Numerics.Pi; + Y : Float; + begin + Y := EF.Sqrt (X); + Check (Y, Expected, "test 6 -- sqrt(pi**2)"); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 6"); + when others => + Report.Failed ("exception in test 6"); + end; + + --- test 7 & 8 --- + Argument_Range_Check (1.0/EF.Sqrt(Float(Float'Machine_Radix)), + 1.0, + "7"); + Argument_Range_Check (1.0, + EF.Sqrt(Float(Float'Machine_Radix)), + "8"); + end Do_Test; + end Non_Generic_Check; + + ----------------------------------------------------------------------- + ----------------------------------------------------------------------- + +begin + Report.Test ("CXG2003", + "Check the accuracy of the 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; + + if Verbose then + Report.Comment ("checking non-generic package"); + end if; + + Non_Generic_Check.Do_Test; + + Report.Result; +end CXG2003; -- cgit v1.2.3