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/cxg2010.a | 892 ++++++++++++++++++++++++++++ 1 file changed, 892 insertions(+) create mode 100644 gcc/testsuite/ada/acats/tests/cxg/cxg2010.a (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2010.a') diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2010.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2010.a new file mode 100644 index 000000000..4140a4875 --- /dev/null +++ b/gcc/testsuite/ada/acats/tests/cxg/cxg2010.a @@ -0,0 +1,892 @@ +-- CXG2010.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 exp 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 and where the Machine_Radix is 2, 4, 8, or 16. +-- This test only applies to the Strict Mode for numerical +-- accuracy. +-- +-- +-- CHANGE HISTORY: +-- 1 Mar 96 SAIC Initial release for 2.1 +-- 2 Sep 96 SAIC Improved check routine +-- +--! + +-- +-- 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 +-- + +-- +-- Notes on derivation of error bound for exp(p)*exp(-p) +-- +-- Let a = true value of exp(p) and ac be the computed value. +-- Then a = ac(1+e1), where |e1| <= 4*Model_Epsilon. +-- Similarly, let b = true value of exp(-p) and bc be the computed value. +-- Then b = bc(1+e2), where |e2| <= 4*ME. +-- +-- The product of x and y is (x*y)(1+e3), where |e3| <= 1.0ME +-- +-- Hence, the computed ab is [ac(1+e1)*bc(1+e2)](1+e3) = +-- (ac*bc)[1 + e1 + e2 + e3 + e1e2 + e1e3 + e2e3 + e1e2e3). +-- +-- Throwing away the last four tiny terms, we have (ac*bc)(1 + eta), +-- +-- where |eta| <= (4+4+1)ME = 9.0Model_Epsilon. + +with System; +with Report; +with Ada.Numerics.Generic_Elementary_Functions; +with Ada.Numerics.Elementary_Functions; +procedure CXG2010 is + Verbose : constant Boolean := False; + Max_Samples : constant := 1000; + Accuracy_Error_Reported : 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 Exp (X : Real) return Real renames + Elementary_Functions.Exp; + + + -- The following value is a lower bound on the accuracy + -- required. It is normally 0.0 so that the lower bound + -- is computed from Model_Epsilon. However, for tests + -- where the expected result is only known to a certain + -- amount of precision this bound takes on a non-zero + -- value to account for that level of precision. + Error_Low_Bound : Real := 0.0; + + 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; + + -- take into account the low bound on the error + if Max_Error < Error_Low_Bound then + Max_Error := Error_Low_Bound; + 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 Argument_Range_Check_1 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 1.0 / 16.0; + One_Minus_Exp_Minus_V : constant := 6.058693718652421388E-2; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) - Exp(X) * (1 - Exp(-V); + -- which simplifies to ZX := Exp (X-V); + ZX := ZX - ZX * One_Minus_Exp_Minus_V; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 1"); + when others => + Report.Failed ("exception in argument range check 1"); + end Argument_Range_Check_1; + + + + procedure Argument_Range_Check_2 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 45.0 / 16.0; + -- 1/16 - Exp(45/16) + Coeff : constant := 2.4453321046920570389E-3; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) * 1/16 - Exp(X) * Coeff; + -- where Coeff is 1/16 - Exp(45/16) + -- which simplifies to ZX := Exp (X-V); + ZX := ZX * 0.0625 - ZX * Coeff; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 2"); + when others => + Report.Failed ("exception in argument range check 2"); + end Argument_Range_Check_2; + + + procedure Do_Test is + begin + + --- test 1 --- + declare + Y : Real; + begin + Y := Exp(1.0); + -- normal accuracy requirements + Check (Y, Ada.Numerics.e, "test 1 -- exp(1)", 4.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + Y : Real; + begin + Y := Exp(16.0) * Exp(-16.0); + Check (Y, 1.0, "test 2 -- exp(16)*exp(-16)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + Y : Real; + begin + Y := Exp (Ada.Numerics.Pi) * Exp (-Ada.Numerics.Pi); + Check (Y, 1.0, "test 3 -- exp(pi)*exp(-pi)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + Y : Real; + begin + Y := Exp(0.0); + Check (Y, 1.0, "test 4 -- exp(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 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_1 ( 1.0/Sqrt(Real(Real'Machine_Radix)), + 1.0, + "5"); + Error_Low_Bound := 0.0; -- reset + + --- test 6 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_2 (1.0, + Sqrt(Real(Real'Machine_Radix)), + "6"); + Error_Low_Bound := 0.0; -- reset + + 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 Exp (X : Real) return Real renames + Elementary_Functions.Exp; + + + -- The following value is a lower bound on the accuracy + -- required. It is normally 0.0 so that the lower bound + -- is computed from Model_Epsilon. However, for tests + -- where the expected result is only known to a certain + -- amount of precision this bound takes on a non-zero + -- value to account for that level of precision. + Error_Low_Bound : Real := 0.0; + + 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; + + -- take into account the low bound on the error + if Max_Error < Error_Low_Bound then + Max_Error := Error_Low_Bound; + 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 Argument_Range_Check_1 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 1.0 / 16.0; + One_Minus_Exp_Minus_V : constant := 6.058693718652421388E-2; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) - Exp(X) * (1 - Exp(-V); + -- which simplifies to ZX := Exp (X-V); + ZX := ZX - ZX * One_Minus_Exp_Minus_V; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 1"); + when others => + Report.Failed ("exception in argument range check 1"); + end Argument_Range_Check_1; + + + + procedure Argument_Range_Check_2 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 45.0 / 16.0; + -- 1/16 - Exp(45/16) + Coeff : constant := 2.4453321046920570389E-3; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) * 1/16 - Exp(X) * Coeff; + -- where Coeff is 1/16 - Exp(45/16) + -- which simplifies to ZX := Exp (X-V); + ZX := ZX * 0.0625 - ZX * Coeff; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 2"); + when others => + Report.Failed ("exception in argument range check 2"); + end Argument_Range_Check_2; + + + procedure Do_Test is + begin + + --- test 1 --- + declare + Y : Real; + begin + Y := Exp(1.0); + -- normal accuracy requirements + Check (Y, Ada.Numerics.e, "test 1 -- exp(1)", 4.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + Y : Real; + begin + Y := Exp(16.0) * Exp(-16.0); + Check (Y, 1.0, "test 2 -- exp(16)*exp(-16)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + Y : Real; + begin + Y := Exp (Ada.Numerics.Pi) * Exp (-Ada.Numerics.Pi); + Check (Y, 1.0, "test 3 -- exp(pi)*exp(-pi)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + Y : Real; + begin + Y := Exp(0.0); + Check (Y, 1.0, "test 4 -- exp(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 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_1 ( 1.0/Sqrt(Real(Real'Machine_Radix)), + 1.0, + "5"); + Error_Low_Bound := 0.0; -- reset + + --- test 6 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_2 (1.0, + Sqrt(Real(Real'Machine_Radix)), + "6"); + Error_Low_Bound := 0.0; -- reset + + end Do_Test; + end A_Long_Float_Check; + + ----------------------------------------------------------------------- + ----------------------------------------------------------------------- + + package Non_Generic_Check is + procedure Do_Test; + subtype Real is Float; + end Non_Generic_Check; + + package body Non_Generic_Check is + + package Elementary_Functions renames + Ada.Numerics.Elementary_Functions; + function Sqrt (X : Real) return Real renames + Elementary_Functions.Sqrt; + function Exp (X : Real) return Real renames + Elementary_Functions.Exp; + + + -- The following value is a lower bound on the accuracy + -- required. It is normally 0.0 so that the lower bound + -- is computed from Model_Epsilon. However, for tests + -- where the expected result is only known to a certain + -- amount of precision this bound takes on a non-zero + -- value to account for that level of precision. + Error_Low_Bound : Real := 0.0; + + 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; + + -- take into account the low bound on the error + if Max_Error < Error_Low_Bound then + Max_Error := Error_Low_Bound; + 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 Argument_Range_Check_1 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 1.0 / 16.0; + One_Minus_Exp_Minus_V : constant := 6.058693718652421388E-2; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) - Exp(X) * (1 - Exp(-V); + -- which simplifies to ZX := Exp (X-V); + ZX := ZX - ZX * One_Minus_Exp_Minus_V; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 1"); + when others => + Report.Failed ("exception in argument range check 1"); + end Argument_Range_Check_1; + + + + procedure Argument_Range_Check_2 (A, B : Real; + Test : String) is + -- test a evenly distributed selection of + -- arguments selected from the range A to B. + -- Test using identity: EXP(X-V) = EXP(X) * EXP (-V) + -- The parameter One_Minus_Exp_Minus_V is the value + -- 1.0 - Exp (-V) + -- accurate to machine precision. + -- This procedure is a translation of part of Cody's test + X : Real; + Y : Real; + ZX, ZY : Real; + V : constant := 45.0 / 16.0; + -- 1/16 - Exp(45/16) + Coeff : constant := 2.4453321046920570389E-3; + + begin + Accuracy_Error_Reported := False; + for I in 1..Max_Samples loop + X := (B - A) * Real (I) / Real (Max_Samples) + A; + Y := X - V; + if Y < 0.0 then + X := Y + V; + end if; + + ZX := Exp (X); + ZY := Exp (Y); + + -- ZX := Exp(X) * 1/16 - Exp(X) * Coeff; + -- where Coeff is 1/16 - Exp(45/16) + -- which simplifies to ZX := Exp (X-V); + ZX := ZX * 0.0625 - ZX * Coeff; + + -- note that since the expected value is computed, we + -- must take the error in that computation into account. + Check (ZY, ZX, + "test " & Test & " -" & + Integer'Image (I) & + " exp (" & Real'Image (X) & ")", + 9.0); + exit when Accuracy_Error_Reported; + end loop; + exception + when Constraint_Error => + Report.Failed + ("Constraint_Error raised in argument range check 2"); + when others => + Report.Failed ("exception in argument range check 2"); + end Argument_Range_Check_2; + + + procedure Do_Test is + begin + + --- test 1 --- + declare + Y : Real; + begin + Y := Exp(1.0); + -- normal accuracy requirements + Check (Y, Ada.Numerics.e, "test 1 -- exp(1)", 4.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 1"); + when others => + Report.Failed ("exception in test 1"); + end; + + --- test 2 --- + declare + Y : Real; + begin + Y := Exp(16.0) * Exp(-16.0); + Check (Y, 1.0, "test 2 -- exp(16)*exp(-16)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 2"); + when others => + Report.Failed ("exception in test 2"); + end; + + --- test 3 --- + declare + Y : Real; + begin + Y := Exp (Ada.Numerics.Pi) * Exp (-Ada.Numerics.Pi); + Check (Y, 1.0, "test 3 -- exp(pi)*exp(-pi)", 9.0); + exception + when Constraint_Error => + Report.Failed ("Constraint_Error raised in test 3"); + when others => + Report.Failed ("exception in test 3"); + end; + + --- test 4 --- + declare + Y : Real; + begin + Y := Exp(0.0); + Check (Y, 1.0, "test 4 -- exp(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 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_1 ( 1.0/Sqrt(Real(Real'Machine_Radix)), + 1.0, + "5"); + Error_Low_Bound := 0.0; -- reset + + --- test 6 --- + -- constants used here only have 19 digits of precision + if Real'Digits > 19 then + Error_Low_Bound := 0.00000_00000_00000_0001; + Report.Comment ("exp accuracy checked to 19 digits"); + end if; + + Argument_Range_Check_2 (1.0, + Sqrt(Real(Real'Machine_Radix)), + "6"); + Error_Low_Bound := 0.0; -- reset + + end Do_Test; + end Non_Generic_Check; + + ----------------------------------------------------------------------- + ----------------------------------------------------------------------- + +begin + Report.Test ("CXG2010", + "Check the accuracy of the exp function"); + + -- the test only applies to machines with a radix of 2,4,8, or 16 + case Float'Machine_Radix is + when 2 | 4 | 8 | 16 => null; + when others => + Report.Not_Applicable ("only applicable to binary radix"); + Report.Result; + return; + end case; + + 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 CXG2010; -- cgit v1.2.3