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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2013.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a new file mode 100644 index 000000000..94f180b80 --- /dev/null +++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2013.a @@ -0,0 +1,367 @@ +-- CXG2013.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 TAN and COT functions return +-- 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. +-- +-- 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: +-- 11 Mar 96 SAIC Initial release for 2.1 +-- 17 Aug 96 SAIC Commentary fixes. +-- 03 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi +-- 02 DEC 97 EDS Change Max_Samples constant to 1001. +-- 29 JUN 98 EDS Deleted Special_Angle_Test as fatally flawed. + +--! + +-- +-- 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 CXG2013 is + Verbose : constant Boolean := False; + Max_Samples : constant := 1001; + + -- 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; + + Pi : constant := Ada.Numerics.Pi; + + 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 Tan (X : Real) return Real renames + Elementary_Functions.Tan; + function Cot (X : Real) return Real renames + Elementary_Functions.Cot; + function Tan (X, Cycle : Real) return Real renames + Elementary_Functions.Tan; + function Cot (X, Cycle : Real) return Real renames + Elementary_Functions.Cot; + + -- flag used to terminate some tests early + Accuracy_Error_Reported : Boolean := False; + + -- factor to be applied in computing MRE + Maximum_Relative_Error : constant Real := 4.0; + + 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 Exact_Result_Test is + No_Error : constant := 0.0; + begin + -- A.5.1(38);6.0 + Check (Tan (0.0), 0.0, "tan(0)", No_Error); + + -- A.5.1(41);6.0 + Check (Tan (180.0, 360.0), 0.0, "tan(180,360)", No_Error); + Check (Tan (360.0, 360.0), 0.0, "tan(360,360)", No_Error); + Check (Tan (720.0, 360.0), 0.0, "tan(720,360)", No_Error); + + -- A.5.1(41);6.0 + Check (Cot ( 90.0, 360.0), 0.0, "cot( 90,360)", No_Error); + Check (Cot (270.0, 360.0), 0.0, "cot(270,360)", No_Error); + Check (Cot (810.0, 360.0), 0.0, "cot(810,360)", No_Error); + + 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 Tan_Test (A, B : Real) is + -- Use identity Tan(X) = [2*Tan(x/2)]/[1-Tan(x/2) ** 2] + -- checks over the range -pi/4 .. pi/4 require no argument reduction + -- checks over the range 7pi/8 .. 9pi/8 require argument reduction + X, Y : Real; + Actual1, Actual2 : Real; + begin + Accuracy_Error_Reported := False; -- reset + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + -- argument purification to insure x and x/2 are exact + -- See Cody page 170. + Y := Real'Machine (X*0.5); + X := Real'Machine (Y + Y); + + Actual1 := Tan(X); + Actual2 := (2.0 * Tan (Y)) / (1.0 - Tan (Y) ** 2); + + if abs (X - Pi) > ( (B-A)/Real(2*Max_Samples) ) then + Check (Actual1, Actual2, + "Tan_Test " & Integer'Image (I) & ": tan(" & + Real'Image (X) & ") ", + (1.0 + Sqrt2) * Maximum_Relative_Error); + -- see Cody pg 165 for error bound info + end if; + + 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 Tan_Test"); + when others => + Report.Failed ("exception in Tan_Test"); + end Tan_Test; + + + + procedure Cot_Test is + -- Use identity Cot(X) = [Cot(X/2)**2 - 1]/[2*Cot(X/2)] + A : constant := 6.0 * Pi; + B : constant := 25.0 / 4.0 * Pi; + X, Y : Real; + Actual1, Actual2 : Real; + begin + Accuracy_Error_Reported := False; -- reset + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + -- argument purification to insure x and x/2 are exact. + -- See Cody page 170. + Y := Real'Machine (X*0.5); + X := Real'Machine (Y + Y); + + Actual1 := Cot(X); + Actual2 := (Cot (Y) ** 2 - 1.0) / (2.0 * Cot (Y)); + + Check (Actual1, Actual2, + "Cot_Test " & Integer'Image (I) & ": cot(" & + Real'Image (X) & ") ", + (1.0 + Sqrt2) * Maximum_Relative_Error); + -- see Cody pg 165 for error bound info + + 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 Cot_Test"); + when others => + Report.Failed ("exception in Cot_Test"); + end Cot_Test; + + + procedure Exception_Test is + X1, X2, X3, X4, X5 : Real := 0.0; + begin + + + begin -- A.5.1(20);6.0 + X1 := Tan (0.0, Cycle => 0.0); + Report.Failed ("no exception for cycle = 0.0"); + exception + when Ada.Numerics.Argument_Error => null; + when others => + Report.Failed ("wrong exception for cycle = 0.0"); + end; + + begin -- A.5.1(20);6.0 + X2 := Cot (1.0, Cycle => -3.0); + Report.Failed ("no exception for cycle < 0.0"); + exception + when Ada.Numerics.Argument_Error => null; + when others => + Report.Failed ("wrong exception for cycle < 0.0"); + end; + + -- the remaining tests only apply to machines that overflow + if Real'Machine_Overflows then -- A.5.1(28);6.0 + + begin -- A.5.1(29);6.0 + X3 := Cot (0.0); + Report.Failed ("exception not raised for cot(0)"); + exception + when Constraint_Error => null; -- ok + when others => + Report.Failed ("wrong exception raised for cot(0)"); + end; + + begin -- A.5.1(31);6.0 + X4 := Tan (90.0, 360.0); + Report.Failed ("exception not raised for tan(90,360)"); + exception + when Constraint_Error => null; -- ok + when others => + Report.Failed ("wrong exception raised for tan(90,360)"); + end; + + begin -- A.5.1(32);6.0 + X5 := Cot (180.0, 360.0); + Report.Failed ("exception not raised for cot(180,360)"); + exception + when Constraint_Error => null; -- ok + when others => + Report.Failed ("wrong exception raised for cot(180,360)"); + end; + end if; + + -- optimizer thwarting + if Report.Ident_Bool (False) then + Report.Comment (Real'Image (X1+X2+X3+X4+X5)); + end if; + end Exception_Test; + + + procedure Do_Test is + begin + Exact_Result_Test; + Tan_Test (-Pi/4.0, Pi/4.0); + Tan_Test (7.0*Pi/8.0, 9.0*Pi/8.0); + Cot_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 ("CXG2013", + "Check the accuracy of the TAN and COT functions"); + + 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 CXG2013; |