summaryrefslogtreecommitdiff
path: root/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a
diff options
context:
space:
mode:
authorupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
committerupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
commit554fd8c5195424bdbcabf5de30fdc183aba391bd (patch)
tree976dc5ab7fddf506dadce60ae936f43f58787092 /gcc/testsuite/ada/acats/tests/cxg/cxg2012.a
downloadcbb-gcc-4.6.4-554fd8c5195424bdbcabf5de30fdc183aba391bd.tar.bz2
cbb-gcc-4.6.4-554fd8c5195424bdbcabf5de30fdc183aba391bd.tar.xz
obtained gcc-4.6.4.tar.bz2 from upstream website;upstream
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.
Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2012.a')
-rw-r--r--gcc/testsuite/ada/acats/tests/cxg/cxg2012.a438
1 files changed, 438 insertions, 0 deletions
diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a
new file mode 100644
index 000000000..6a665d0e0
--- /dev/null
+++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2012.a
@@ -0,0 +1,438 @@
+-- CXG2012.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 exponentiation operator returns
+-- results that are within the error bound allowed.
+--
+-- TEST DESCRIPTION:
+-- This test consists of a generic package that is
+-- instantiated to check 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.
+-- Exception checks.
+-- While this test concentrates on the "**" operator
+-- defined in Generic_Elementary_Functions, a check is also
+-- performed on the standard "**" operator.
+--
+-- 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:
+-- 7 Mar 96 SAIC Initial release for 2.1
+-- 2 Sep 96 SAIC Improvements as suggested by reviewers
+-- 3 Jun 98 EDS Add parens to ensure that the expression is not
+-- evaluated by multiplying its two large terms
+-- together and overflowing.
+-- 3 Dec 01 RLB Added 'Machine to insure that equality tests
+-- are certain to work.
+--
+--!
+
+--
+-- References:
+--
+-- Software Manual for the Elementary Functions
+-- William J. Cody, Jr. and William Waite
+-- Prentice-Hall, 1980
+--
+-- CRC Standard Mathematical Tables
+-- 23rd Edition
+--
+-- Implementation and Testing of Function Software
+-- W. J. Cody
+-- 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_Elementary_Functions;
+procedure CXG2012 is
+ Verbose : constant Boolean := False;
+ Max_Samples : constant := 1000;
+
+ -- 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 Elementary_Functions is new
+ Ada.Numerics.Generic_Elementary_Functions (Real);
+ function Sqrt (X : Real) return Real renames
+ Elementary_Functions.Sqrt;
+ function Exp (X : Real) return Real renames
+ Elementary_Functions.Exp;
+ function Log (X : Real) return Real renames
+ Elementary_Functions.Log;
+ function "**" (L, R : Real) return Real renames
+ Elementary_Functions."**";
+
+ -- 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;
+
+
+ -- the following version of Check computes the allowed error bound
+ -- using the operands
+ procedure Check (Actual, Expected : Real;
+ Left, Right : Real;
+ Test_Name : String;
+ MRE_Factor : Real := 1.0) is
+ MRE : Real;
+ begin
+ MRE := MRE_Factor * (4.0 + abs (Right * Log(Left)) / 32.0);
+ Check (Actual, Expected, Test_Name, MRE);
+ end Check;
+
+
+ procedure Real_To_Integer_Test is
+ type Int_Check is
+ record
+ Left : Real;
+ Right : Integer;
+ Expected : Real;
+ end record;
+ type Int_Checks is array (Positive range <>) of Int_Check;
+
+ -- the following tests use only model numbers so the result
+ -- is expected to be exact.
+ IC : constant Int_Checks :=
+ ( ( 2.0, 5, 32.0),
+ ( -2.0, 5, -32.0),
+ ( 0.5, -5, 32.0),
+ ( 2.0, 0, 1.0),
+ ( 0.0, 0, 1.0) );
+ begin
+ for I in IC'Range loop
+ declare
+ Y : Real;
+ begin
+ Y := IC (I).Left ** IC (I).Right;
+ Check (Y, IC (I).Expected,
+ "real to integer test" &
+ Real'Image (IC (I).Left) & " ** " &
+ Integer'Image (IC (I).Right),
+ 0.0); -- no error allowed
+ exception
+ when Constraint_Error =>
+ Report.Failed ("Constraint_Error raised in rtoi test " &
+ Integer'Image (I));
+ when others =>
+ Report.Failed ("exception in rtoi test " &
+ Integer'Image (I));
+ end;
+ end loop;
+ end Real_To_Integer_Test;
+
+
+ procedure Special_Value_Test is
+ No_Error : constant := 0.0;
+ begin
+ Check (0.0 ** 1.0, 0.0, "0**1", No_Error);
+ Check (1.0 ** 0.0, 1.0, "1**0", No_Error);
+
+ Check ( 2.0 ** 5.0, 32.0, 2.0, 5.0, "2**5");
+ Check ( 0.5**(-5.0), 32.0, 0.5, -5.0, "0.5**-5");
+
+ Check (Sqrt2 ** 4.0, 4.0, Sqrt2, 4.0, "Sqrt2**4");
+ Check (Sqrt3 ** 6.0, 27.0, Sqrt3, 6.0, "Sqrt3**6");
+
+ Check (2.0 ** 0.5, Sqrt2, 2.0, 0.5, "2.0**0.5");
+
+ 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 Small_Range_Test is
+ -- Several checks over the range 1/radix .. 1
+ A : constant Real := 1.0 / Real (Real'Machine_Radix);
+ B : constant Real := 1.0;
+ X : Real;
+ -- In the cases below where the expected result is
+ -- inexact we allow an additional error amount of
+ -- 1.0 * Model_Epsilon to account for that error.
+ -- This is accomplished by the factor of 1.25 times
+ -- the computed error bound (which is > 4.0) thus
+ -- increasing the error bound by at least
+ -- 1.0 * Model_Epsilon
+ begin
+ Accuracy_Error_Reported := False; -- reset
+ for I in 0..Max_Samples loop
+ X := Real'Machine((B - A) * Real (I) / Real (Max_Samples) + A);
+
+ Check (X ** 1.0, X, -- exact result required
+ "Small range" & Integer'Image (I) & ": " &
+ Real'Image (X) & " ** 1.0",
+ 0.0);
+
+ Check ((X*X) ** 1.5, X**3, X*X, 1.5,
+ "Small range" & Integer'Image (I) & ": " &
+ Real'Image (X*X) & " ** 1.5",
+ 1.25);
+
+ Check (X ** 13.5, 1.0 / (X ** (-13.5)), X, 13.5,
+ "Small range" & Integer'Image (I) & ": " &
+ Real'Image (X) & " ** 13.5",
+ 2.0); -- 2 ** computations
+
+ Check ((X*X) ** 1.25, X**(2.5), X*X, 1.25,
+ "Small range" & Integer'Image (I) & ": " &
+ Real'Image (X*X) & " ** 1.25",
+ 2.0); -- 2 ** computations
+
+ 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;
+
+ exception
+ when Constraint_Error =>
+ Report.Failed
+ ("Constraint_Error raised in Small Range Test");
+ when others =>
+ Report.Failed ("exception in Small Range Test");
+ end Small_Range_Test;
+
+
+ procedure Large_Range_Test is
+ -- Check over the range A to B where A is 1.0 and
+ -- B is a large value.
+ A : constant Real := 1.0;
+ B : Real;
+ X : Real;
+ Iteration : Integer := 0;
+ Subtest : Character := 'X';
+ begin
+ -- upper bound of range should be as large as possible where
+ -- B**3 is still valid.
+ B := Real'Safe_Last ** 0.333;
+ Accuracy_Error_Reported := False; -- reset
+ for I in 0..Max_Samples loop
+ Iteration := I;
+ Subtest := 'X';
+ X := Real'Machine((B - A) * (Real (I) / Real (Max_Samples)) + A);
+
+ Subtest := 'A';
+ Check (X ** 1.0, X, -- exact result required
+ "Large range" & Integer'Image (I) & ": " &
+ Real'Image (X) & " ** 1.0",
+ 0.0);
+
+ Subtest := 'B';
+ Check ((X*X) ** 1.5, X**3, X*X, 1.5,
+ "Large range" & Integer'Image (I) & ": " &
+ Real'Image (X*X) & " ** 1.5",
+ 1.25); -- inexact expected result
+
+ Subtest := 'C';
+ Check ((X*X) ** 1.25, X**(2.5), X*X, 1.25,
+ "Large range" & Integer'Image (I) & ": " &
+ Real'Image (X*X) & " ** 1.25",
+ 2.0); -- two ** operators
+
+ 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;
+ exception
+ when Constraint_Error =>
+ Report.Failed
+ ("Constraint_Error raised in Large Range Test" &
+ Integer'Image (Iteration) & Subtest);
+ when others =>
+ Report.Failed ("exception in Large Range Test" &
+ Integer'Image (Iteration) & Subtest);
+ end Large_Range_Test;
+
+
+ procedure Exception_Test is
+ X1, X2, X3, X4 : Real;
+ begin
+ begin
+ X1 := 0.0 ** (-1.0);
+ Report.Failed ("exception not raised for 0**-1");
+ exception
+ when Ada.Numerics.Argument_Error =>
+ Report.Failed ("argument_error raised instead of" &
+ " constraint_error for 0**-1");
+ when Constraint_Error => null; -- ok
+ when others =>
+ Report.Failed ("wrong exception raised for 0**-1");
+ end;
+
+ begin
+ X2 := 0.0 ** 0.0;
+ Report.Failed ("exception not raised for 0**0");
+ exception
+ when Ada.Numerics.Argument_Error => null; -- ok
+ when Constraint_Error =>
+ Report.Failed ("constraint_error raised instead of" &
+ " argument_error for 0**0");
+ when others =>
+ Report.Failed ("wrong exception raised for 0**0");
+ end;
+
+ begin
+ X3 := (-1.0) ** 1.0;
+ Report.Failed ("exception not raised for -1**1");
+ exception
+ when Ada.Numerics.Argument_Error => null; -- ok
+ when Constraint_Error =>
+ Report.Failed ("constraint_error raised instead of" &
+ " argument_error for -1**1");
+ when others =>
+ Report.Failed ("wrong exception raised for -1**1");
+ end;
+
+ begin
+ X4 := (-2.0) ** 2.0;
+ Report.Failed ("exception not raised for -2**2");
+ exception
+ when Ada.Numerics.Argument_Error => null; -- ok
+ when Constraint_Error =>
+ Report.Failed ("constraint_error raised instead of" &
+ " argument_error for -2**2");
+ when others =>
+ Report.Failed ("wrong exception raised for -2**2");
+ end;
+
+ -- optimizer thwarting
+ if Report.Ident_Bool (False) then
+ Report.Comment (Real'Image (X1+X2+X3+X4));
+ end if;
+ end Exception_Test;
+
+
+ procedure Do_Test is
+ begin
+ Real_To_Integer_Test;
+ Special_Value_Test;
+ Small_Range_Test;
+ Large_Range_Test;
+ Exception_Test;
+ 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 ("CXG2012",
+ "Check the accuracy of the ** operator");
+
+ 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 CXG2012;