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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2019.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2019.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2019.a new file mode 100644 index 000000000..0a4dddcc9 --- /dev/null +++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2019.a @@ -0,0 +1,338 @@ +-- CXG2019.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 LOG function returns +-- a result that is within the error bound allowed. +-- +-- TEST DESCRIPTION: +-- This test consists of a generic package that is +-- instantiated to check complex numbers based upon +-- 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 conditions. +-- +-- 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: +-- 22 Mar 96 SAIC Initial release for 2.1 +-- +--! + +-- +-- References: +-- +-- W. J. Cody +-- CELEFUNT: A Portable Test Package for Complex Elementary Functions +-- Algorithm 714, Collected Algorithms from ACM. +-- Published in Transactions On Mathematical Software, +-- Vol. 19, No. 1, March, 1993, pp. 1-21. +-- +-- CRC Standard Mathematical Tables +-- 23rd Edition +-- + +with System; +with Report; +with Ada.Numerics.Generic_Complex_Types; +with Ada.Numerics.Generic_Complex_Elementary_Functions; +procedure CXG2019 is + Verbose : constant Boolean := False; + -- Note that Max_Samples is the number of samples taken in + -- both the real and imaginary directions. Thus, for Max_Samples + -- of 100 the number of values checked is 10000. + Max_Samples : constant := 100; + + E : constant := Ada.Numerics.E; + 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 Complex_Type is new + Ada.Numerics.Generic_Complex_Types (Real); + use Complex_Type; + + package CEF is new + Ada.Numerics.Generic_Complex_Elementary_Functions (Complex_Type); + + function Log (X : Complex) return Complex renames CEF.Log; + + -- 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_Small 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 Check (Actual, Expected : Complex; + Test_Name : String; + MRE : Real) is + begin + Check (Actual.Re, Expected.Re, Test_Name & " real part", MRE); + Check (Actual.Im, Expected.Im, Test_Name & " imaginary part", MRE); + end Check; + + + procedure Special_Value_Test is + -- In the following tests the expected result is accurate + -- to the machine precision so the minimum guaranteed error + -- bound can be used if the argument is exact. + -- + -- When using pi there is an extra error of 1.0ME. + -- Although the real component has an error bound of 13.0, + -- the complex component must take into account this error + -- in the value for Pi. + -- + -- One or i is added to the actual and expected results in + -- order to prevent the expected result from having a + -- real or imaginary part of 0. This is to allow a reasonable + -- relative error for that component. + Minimum_Error : constant := 13.0; + begin + Check (1.0 + Log (0.0 + i), + 1.0 + Pi / 2.0 * i, + "1+log(0+i)", + Minimum_Error + 1.0); + Check (1.0 + Log ((-1.0, 0.0)), + 1.0 + (Pi * i), + "log(-1+0i)+1 ", + Minimum_Error + 1.0); + 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 Exact_Result_Test is + No_Error : constant := 0.0; + begin + -- G.1.2(37);6.0 + Check (Log(1.0 + 0.0*i), 0.0 + 0.0 * i, "log(1+0i)", 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 Identity_Test (RA, RB, IA, IB : Real) is + -- Tests an identity over a range of values specified + -- by the 4 parameters. RA and RB denote the range for the + -- real part while IA and IB denote the range for the + -- imaginary part. + -- + -- For this test we use the identity + -- Log(Z*Z) = 2 * Log(Z) + -- + + Scale : Real := Real (Real'Machine_Radix) ** (Real'Mantissa / 2 + 4); + W, X, Y, Z : Real; + CX, CY : Complex; + Actual1, Actual2 : Complex; + begin + Accuracy_Error_Reported := False; -- reset + for II in 1..Max_Samples loop + X := (RB - RA) * Real (II) / Real (Max_Samples) + RA; + for J in 1..Max_Samples loop + Y := (IB - IA) * Real (J) / Real (Max_Samples) + IA; + + -- purify the arguments to minimize roundoff error. + -- We construct the values so that the products X*X, + -- Y*Y, and X*Y are all exact machine numbers. + -- See Cody page 7 and CELEFUNT code. + Z := X * Scale; + W := Z + X; + X := W - Z; + Z := Y * Scale; + W := Z + Y; + Y := W - Z; + CX := Compose_From_Cartesian(X,Y); + Z := X*X - Y*Y; + W := X*Y; + CY := Compose_From_Cartesian(Z,W+W); + + -- The arguments are now ready so on with the + -- identity computation. + Actual1 := Log(CX); + + Actual2 := Log(CY) * 0.5; + + Check (Actual1, Actual2, + "Identity_1_Test " & Integer'Image (II) & + Integer'Image (J) & ": Log((" & + Real'Image (CX.Re) & ", " & + Real'Image (CX.Im) & ")) ", + 26.0); -- 2 logs = 2*13. no error from this multiply + + 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; + end loop; + + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in Identity_Test" & + " for X=(" & Real'Image (X) & + ", " & Real'Image (X) & ")"); + when others => + Report.Failed ("exception in Identity_Test" & + " for X=(" & Real'Image (X) & + ", " & Real'Image (X) & ")"); + end Identity_Test; + + + procedure Exception_Test is + -- Check that log((0,0)) causes constraint_error. + -- G.1.2(29); + + X : Complex := (0.0, 0.0); + begin + if not Real'Machine_Overflows then + -- not applicable: G.1.2(28);6.0 + return; + end if; + + begin + X := Log ((0.0, 0.0)); + Report.Failed ("exception not raised for log(0,0)"); + exception + when Constraint_Error => null; -- ok + when others => + Report.Failed ("wrong exception raised for log(0,0)"); + end; + + -- optimizer thwarting + if Report.Ident_Bool(False) then + Report.Comment (Real'Image (X.Re + X.Im)); + end if; + end Exception_Test; + + + procedure Do_Test is + begin + Special_Value_Test; + Exact_Result_Test; + -- test regions that do not include the unit circle so that + -- the real part of LOG(Z) does not vanish + -- See Cody page 9. + Identity_Test ( 2.0, 10.0, 0.0, 10.0); + Identity_Test (1000.0, 2000.0, -4000.0, -1000.0); + Identity_Test (Real'Model_Epsilon, 0.25, + -0.25, -Real'Model_Epsilon); + 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 ("CXG2019", + "Check the accuracy of the complex LOG 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; + + + Report.Result; +end CXG2019; |