-- CXG2014.A
|
-- CXG2014.A
|
--
|
--
|
-- Grant of Unlimited Rights
|
-- Grant of Unlimited Rights
|
--
|
--
|
-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
|
-- 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
|
-- 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 in the software and documentation contained herein.
|
-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
|
-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
|
-- this public release, the Government intends to confer upon all
|
-- this public release, the Government intends to confer upon all
|
-- recipients unlimited rights equal to those held by the Government.
|
-- recipients unlimited rights equal to those held by the Government.
|
-- These rights include rights to use, duplicate, release or disclose the
|
-- These rights include rights to use, duplicate, release or disclose the
|
-- released technical data and computer software in whole or in part, in
|
-- 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
|
-- any manner and for any purpose whatsoever, and to have or permit others
|
-- to do so.
|
-- to do so.
|
--
|
--
|
-- DISCLAIMER
|
-- DISCLAIMER
|
--
|
--
|
-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
|
-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
|
-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
|
-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
|
-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
|
-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
|
-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
|
-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
|
-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
|
-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
|
-- PARTICULAR PURPOSE OF SAID MATERIAL.
|
-- PARTICULAR PURPOSE OF SAID MATERIAL.
|
--*
|
--*
|
--
|
--
|
-- OBJECTIVE:
|
-- OBJECTIVE:
|
-- Check that the SINH and COSH functions return
|
-- Check that the SINH and COSH functions return
|
-- results that are within the error bound allowed.
|
-- results that are within the error bound allowed.
|
--
|
--
|
-- TEST DESCRIPTION:
|
-- TEST DESCRIPTION:
|
-- This test consists of a generic package that is
|
-- This test consists of a generic package that is
|
-- instantiated to check both Float and a long float type.
|
-- instantiated to check both Float and a long float type.
|
-- The test for each floating point type is divided into
|
-- The test for each floating point type is divided into
|
-- several parts:
|
-- several parts:
|
-- Special value checks where the result is a known constant.
|
-- Special value checks where the result is a known constant.
|
-- Checks that use an identity for determining the result.
|
-- Checks that use an identity for determining the result.
|
-- Exception checks.
|
-- Exception checks.
|
--
|
--
|
-- SPECIAL REQUIREMENTS
|
-- SPECIAL REQUIREMENTS
|
-- The Strict Mode for the numerical accuracy must be
|
-- The Strict Mode for the numerical accuracy must be
|
-- selected. The method by which this mode is selected
|
-- selected. The method by which this mode is selected
|
-- is implementation dependent.
|
-- is implementation dependent.
|
--
|
--
|
-- APPLICABILITY CRITERIA:
|
-- APPLICABILITY CRITERIA:
|
-- This test applies only to implementations supporting the
|
-- This test applies only to implementations supporting the
|
-- Numerics Annex.
|
-- Numerics Annex.
|
-- This test only applies to the Strict Mode for numerical
|
-- This test only applies to the Strict Mode for numerical
|
-- accuracy.
|
-- accuracy.
|
--
|
--
|
--
|
--
|
-- CHANGE HISTORY:
|
-- CHANGE HISTORY:
|
-- 15 Mar 96 SAIC Initial release for 2.1
|
-- 15 Mar 96 SAIC Initial release for 2.1
|
-- 03 Jun 98 EDS In line 80, change 1000 to 1024, making it a model
|
-- 03 Jun 98 EDS In line 80, change 1000 to 1024, making it a model
|
-- number. Add Taylor Series terms in line 281.
|
-- number. Add Taylor Series terms in line 281.
|
-- 15 Feb 99 RLB Repaired Subtraction_Error_Test to avoid precision
|
-- 15 Feb 99 RLB Repaired Subtraction_Error_Test to avoid precision
|
-- problems.
|
-- problems.
|
--!
|
--!
|
|
|
--
|
--
|
-- References:
|
-- References:
|
--
|
--
|
-- Software Manual for the Elementary Functions
|
-- Software Manual for the Elementary Functions
|
-- William J. Cody, Jr. and William Waite
|
-- William J. Cody, Jr. and William Waite
|
-- Prentice-Hall, 1980
|
-- Prentice-Hall, 1980
|
--
|
--
|
-- CRC Standard Mathematical Tables
|
-- CRC Standard Mathematical Tables
|
-- 23rd Edition
|
-- 23rd Edition
|
--
|
--
|
-- Implementation and Testing of Function Software
|
-- Implementation and Testing of Function Software
|
-- W. J. Cody
|
-- W. J. Cody
|
-- Problems and Methodologies in Mathematical Software Production
|
-- Problems and Methodologies in Mathematical Software Production
|
-- editors P. C. Messina and A. Murli
|
-- editors P. C. Messina and A. Murli
|
-- Lecture Notes in Computer Science Volume 142
|
-- Lecture Notes in Computer Science Volume 142
|
-- Springer Verlag, 1982
|
-- Springer Verlag, 1982
|
--
|
--
|
|
|
with System;
|
with System;
|
with Report;
|
with Report;
|
with Ada.Numerics.Generic_Elementary_Functions;
|
with Ada.Numerics.Generic_Elementary_Functions;
|
procedure CXG2014 is
|
procedure CXG2014 is
|
Verbose : constant Boolean := False;
|
Verbose : constant Boolean := False;
|
Max_Samples : constant := 1024;
|
Max_Samples : constant := 1024;
|
|
|
E : constant := Ada.Numerics.E;
|
E : constant := Ada.Numerics.E;
|
Cosh1 : constant := (E + 1.0 / E) / 2.0; -- cosh(1.0)
|
Cosh1 : constant := (E + 1.0 / E) / 2.0; -- cosh(1.0)
|
|
|
generic
|
generic
|
type Real is digits <>;
|
type Real is digits <>;
|
package Generic_Check is
|
package Generic_Check is
|
procedure Do_Test;
|
procedure Do_Test;
|
end Generic_Check;
|
end Generic_Check;
|
|
|
package body Generic_Check is
|
package body Generic_Check is
|
package Elementary_Functions is new
|
package Elementary_Functions is new
|
Ada.Numerics.Generic_Elementary_Functions (Real);
|
Ada.Numerics.Generic_Elementary_Functions (Real);
|
function Sinh (X : Real) return Real renames
|
function Sinh (X : Real) return Real renames
|
Elementary_Functions.Sinh;
|
Elementary_Functions.Sinh;
|
function Cosh (X : Real) return Real renames
|
function Cosh (X : Real) return Real renames
|
Elementary_Functions.Cosh;
|
Elementary_Functions.Cosh;
|
function Log (X : Real) return Real renames
|
function Log (X : Real) return Real renames
|
Elementary_Functions.Log;
|
Elementary_Functions.Log;
|
|
|
-- flag used to terminate some tests early
|
-- flag used to terminate some tests early
|
Accuracy_Error_Reported : Boolean := False;
|
Accuracy_Error_Reported : Boolean := False;
|
|
|
|
|
procedure Check (Actual, Expected : Real;
|
procedure Check (Actual, Expected : Real;
|
Test_Name : String;
|
Test_Name : String;
|
MRE : Real) is
|
MRE : Real) is
|
Max_Error : Real;
|
Max_Error : Real;
|
Rel_Error : Real;
|
Rel_Error : Real;
|
Abs_Error : Real;
|
Abs_Error : Real;
|
begin
|
begin
|
-- In the case where the expected result is very small or 0
|
-- In the case where the expected result is very small or 0
|
-- we compute the maximum error as a multiple of Model_Small instead
|
-- we compute the maximum error as a multiple of Model_Small instead
|
-- of Model_Epsilon and Expected.
|
-- of Model_Epsilon and Expected.
|
Rel_Error := MRE * abs Expected * Real'Model_Epsilon;
|
Rel_Error := MRE * abs Expected * Real'Model_Epsilon;
|
Abs_Error := MRE * Real'Model_Small;
|
Abs_Error := MRE * Real'Model_Small;
|
if Rel_Error > Abs_Error then
|
if Rel_Error > Abs_Error then
|
Max_Error := Rel_Error;
|
Max_Error := Rel_Error;
|
else
|
else
|
Max_Error := Abs_Error;
|
Max_Error := Abs_Error;
|
end if;
|
end if;
|
|
|
if abs (Actual - Expected) > Max_Error then
|
if abs (Actual - Expected) > Max_Error then
|
Accuracy_Error_Reported := True;
|
Accuracy_Error_Reported := True;
|
Report.Failed (Test_Name &
|
Report.Failed (Test_Name &
|
" actual: " & Real'Image (Actual) &
|
" actual: " & Real'Image (Actual) &
|
" expected: " & Real'Image (Expected) &
|
" expected: " & Real'Image (Expected) &
|
" difference: " & Real'Image (Actual - Expected) &
|
" difference: " & Real'Image (Actual - Expected) &
|
" max err:" & Real'Image (Max_Error) );
|
" max err:" & Real'Image (Max_Error) );
|
elsif Verbose then
|
elsif Verbose then
|
if Actual = Expected then
|
if Actual = Expected then
|
Report.Comment (Test_Name & " exact result");
|
Report.Comment (Test_Name & " exact result");
|
else
|
else
|
Report.Comment (Test_Name & " passed");
|
Report.Comment (Test_Name & " passed");
|
end if;
|
end if;
|
end if;
|
end if;
|
end Check;
|
end Check;
|
|
|
|
|
procedure Special_Value_Test is
|
procedure Special_Value_Test is
|
-- In the following tests the expected result is accurate
|
-- In the following tests the expected result is accurate
|
-- to the machine precision so the minimum guaranteed error
|
-- to the machine precision so the minimum guaranteed error
|
-- bound can be used.
|
-- bound can be used.
|
Minimum_Error : constant := 8.0;
|
Minimum_Error : constant := 8.0;
|
begin
|
begin
|
Check (Sinh (1.0),
|
Check (Sinh (1.0),
|
(E - 1.0 / E) / 2.0,
|
(E - 1.0 / E) / 2.0,
|
"sinh(1)",
|
"sinh(1)",
|
Minimum_Error);
|
Minimum_Error);
|
Check (Cosh (1.0),
|
Check (Cosh (1.0),
|
Cosh1,
|
Cosh1,
|
"cosh(1)",
|
"cosh(1)",
|
Minimum_Error);
|
Minimum_Error);
|
Check (Sinh (2.0),
|
Check (Sinh (2.0),
|
(E * E - (1.0 / (E * E))) / 2.0,
|
(E * E - (1.0 / (E * E))) / 2.0,
|
"sinh(2)",
|
"sinh(2)",
|
Minimum_Error);
|
Minimum_Error);
|
Check (Cosh (2.0),
|
Check (Cosh (2.0),
|
(E * E + (1.0 / (E * E))) / 2.0,
|
(E * E + (1.0 / (E * E))) / 2.0,
|
"cosh(2)",
|
"cosh(2)",
|
Minimum_Error);
|
Minimum_Error);
|
Check (Sinh (-1.0),
|
Check (Sinh (-1.0),
|
(1.0 / E - E) / 2.0,
|
(1.0 / E - E) / 2.0,
|
"sinh(-1)",
|
"sinh(-1)",
|
Minimum_Error);
|
Minimum_Error);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in special value test");
|
Report.Failed ("Constraint_Error raised in special value test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in special value test");
|
Report.Failed ("exception in special value test");
|
end Special_Value_Test;
|
end Special_Value_Test;
|
|
|
|
|
|
|
procedure Exact_Result_Test is
|
procedure Exact_Result_Test is
|
No_Error : constant := 0.0;
|
No_Error : constant := 0.0;
|
begin
|
begin
|
-- A.5.1(38);6.0
|
-- A.5.1(38);6.0
|
Check (Sinh (0.0), 0.0, "sinh(0)", No_Error);
|
Check (Sinh (0.0), 0.0, "sinh(0)", No_Error);
|
Check (Cosh (0.0), 1.0, "cosh(0)", No_Error);
|
Check (Cosh (0.0), 1.0, "cosh(0)", No_Error);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in Exact_Result Test");
|
Report.Failed ("Constraint_Error raised in Exact_Result Test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Exact_Result Test");
|
Report.Failed ("exception in Exact_Result Test");
|
end Exact_Result_Test;
|
end Exact_Result_Test;
|
|
|
|
|
procedure Identity_1_Test is
|
procedure Identity_1_Test is
|
-- For the Sinh test use the identity
|
-- For the Sinh test use the identity
|
-- 2 * Sinh(x) * Cosh(1) = Sinh(x+1) + Sinh (x-1)
|
-- 2 * Sinh(x) * Cosh(1) = Sinh(x+1) + Sinh (x-1)
|
-- which is transformed to
|
-- which is transformed to
|
-- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C
|
-- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C
|
-- where C = 1/(2*Cosh(1))
|
-- where C = 1/(2*Cosh(1))
|
--
|
--
|
-- For the Cosh test use the identity
|
-- For the Cosh test use the identity
|
-- 2 * Cosh(x) * Cosh(1) = Cosh(x+1) + Cosh(x-1)
|
-- 2 * Cosh(x) * Cosh(1) = Cosh(x+1) + Cosh(x-1)
|
-- which is transformed to
|
-- which is transformed to
|
-- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1))
|
-- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1))
|
-- where C is the same as above
|
-- where C is the same as above
|
--
|
--
|
-- see Cody pg 230-231 for details on the error analysis.
|
-- see Cody pg 230-231 for details on the error analysis.
|
-- The net result is a relative error bound of 16 * Model_Epsilon.
|
-- The net result is a relative error bound of 16 * Model_Epsilon.
|
|
|
A : constant := 3.0;
|
A : constant := 3.0;
|
-- large upper bound but not so large as to cause Cosh(B)
|
-- large upper bound but not so large as to cause Cosh(B)
|
-- to overflow
|
-- to overflow
|
B : constant Real := Log(Real'Safe_Last) - 2.0;
|
B : constant Real := Log(Real'Safe_Last) - 2.0;
|
X_Minus_1, X, X_Plus_1 : Real;
|
X_Minus_1, X, X_Plus_1 : Real;
|
Actual1, Actual2 : Real;
|
Actual1, Actual2 : Real;
|
C : constant := 1.0 / (2.0 * Cosh1);
|
C : constant := 1.0 / (2.0 * Cosh1);
|
begin
|
begin
|
Accuracy_Error_Reported := False; -- reset
|
Accuracy_Error_Reported := False; -- reset
|
for I in 1..Max_Samples loop
|
for I in 1..Max_Samples loop
|
-- make sure there is no error in x-1, x, and x+1
|
-- make sure there is no error in x-1, x, and x+1
|
X_Plus_1 := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X_Plus_1 := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X_Plus_1 := Real'Machine (X_Plus_1);
|
X_Plus_1 := Real'Machine (X_Plus_1);
|
X := Real'Machine (X_Plus_1 - 1.0);
|
X := Real'Machine (X_Plus_1 - 1.0);
|
X_Minus_1 := Real'Machine (X - 1.0);
|
X_Minus_1 := Real'Machine (X - 1.0);
|
|
|
-- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C
|
-- Sinh(x) = ((Sinh(x+1) + Sinh(x-1)) * C
|
Actual1 := Sinh(X);
|
Actual1 := Sinh(X);
|
Actual2 := C * (Sinh(X_Plus_1) + Sinh(X_Minus_1));
|
Actual2 := C * (Sinh(X_Plus_1) + Sinh(X_Minus_1));
|
|
|
Check (Actual1, Actual2,
|
Check (Actual1, Actual2,
|
"Identity_1_Test " & Integer'Image (I) & ": sinh(" &
|
"Identity_1_Test " & Integer'Image (I) & ": sinh(" &
|
Real'Image (X) & ") ",
|
Real'Image (X) & ") ",
|
16.0);
|
16.0);
|
|
|
-- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1))
|
-- Cosh(x) = C * (Cosh(x+1) + Cosh(x-1))
|
Actual1 := Cosh (X);
|
Actual1 := Cosh (X);
|
Actual2 := C * (Cosh(X_Plus_1) + Cosh (X_Minus_1));
|
Actual2 := C * (Cosh(X_Plus_1) + Cosh (X_Minus_1));
|
Check (Actual1, Actual2,
|
Check (Actual1, Actual2,
|
"Identity_1_Test " & Integer'Image (I) & ": cosh(" &
|
"Identity_1_Test " & Integer'Image (I) & ": cosh(" &
|
Real'Image (X) & ") ",
|
Real'Image (X) & ") ",
|
16.0);
|
16.0);
|
|
|
if Accuracy_Error_Reported then
|
if Accuracy_Error_Reported then
|
-- only report the first error in this test in order to keep
|
-- only report the first error in this test in order to keep
|
-- lots of failures from producing a huge error log
|
-- lots of failures from producing a huge error log
|
return;
|
return;
|
end if;
|
end if;
|
|
|
end loop;
|
end loop;
|
|
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed
|
Report.Failed
|
("Constraint_Error raised in Identity_1_Test" &
|
("Constraint_Error raised in Identity_1_Test" &
|
" for X=" & Real'Image (X));
|
" for X=" & Real'Image (X));
|
when others =>
|
when others =>
|
Report.Failed ("exception in Identity_1_Test" &
|
Report.Failed ("exception in Identity_1_Test" &
|
" for X=" & Real'Image (X));
|
" for X=" & Real'Image (X));
|
end Identity_1_Test;
|
end Identity_1_Test;
|
|
|
|
|
|
|
procedure Subtraction_Error_Test is
|
procedure Subtraction_Error_Test is
|
-- This test detects the error resulting from subtraction if
|
-- This test detects the error resulting from subtraction if
|
-- the obvious algorithm was used for computing sinh. That is,
|
-- the obvious algorithm was used for computing sinh. That is,
|
-- it it is computed as (e**x - e**-x)/2.
|
-- it it is computed as (e**x - e**-x)/2.
|
-- We check the result by using a Taylor series expansion that
|
-- We check the result by using a Taylor series expansion that
|
-- will produce a result accurate to the machine precision for
|
-- will produce a result accurate to the machine precision for
|
-- the range under test.
|
-- the range under test.
|
--
|
--
|
-- The maximum relative error bound for this test is
|
-- The maximum relative error bound for this test is
|
-- 8 for the sinh operation and 7 for the Taylor series
|
-- 8 for the sinh operation and 7 for the Taylor series
|
-- for a total of 15 * Model_Epsilon
|
-- for a total of 15 * Model_Epsilon
|
A : constant := 0.0;
|
A : constant := 0.0;
|
B : constant := 0.5;
|
B : constant := 0.5;
|
X : Real;
|
X : Real;
|
X_Squared : Real;
|
X_Squared : Real;
|
Actual, Expected : Real;
|
Actual, Expected : Real;
|
begin
|
begin
|
if Real'digits > 15 then
|
if Real'digits > 15 then
|
return; -- The approximation below is not accurate beyond
|
return; -- The approximation below is not accurate beyond
|
-- 15 digits. Adding more terms makes the error
|
-- 15 digits. Adding more terms makes the error
|
-- larger, so it makes the test worse for more normal
|
-- larger, so it makes the test worse for more normal
|
-- values. Thus, we skip this subtest for larger than
|
-- values. Thus, we skip this subtest for larger than
|
-- 15 digits.
|
-- 15 digits.
|
end if;
|
end if;
|
Accuracy_Error_Reported := False; -- reset
|
Accuracy_Error_Reported := False; -- reset
|
for I in 1..Max_Samples loop
|
for I in 1..Max_Samples loop
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X_Squared := X * X;
|
X_Squared := X * X;
|
|
|
Actual := Sinh(X);
|
Actual := Sinh(X);
|
|
|
-- The Taylor series regrouped a bit
|
-- The Taylor series regrouped a bit
|
Expected :=
|
Expected :=
|
X * (1.0 + (X_Squared / 6.0) *
|
X * (1.0 + (X_Squared / 6.0) *
|
(1.0 + (X_Squared/20.0) *
|
(1.0 + (X_Squared/20.0) *
|
(1.0 + (X_Squared/42.0) *
|
(1.0 + (X_Squared/42.0) *
|
(1.0 + (X_Squared/72.0) *
|
(1.0 + (X_Squared/72.0) *
|
(1.0 + (X_Squared/110.0) *
|
(1.0 + (X_Squared/110.0) *
|
(1.0 + (X_Squared/156.0)
|
(1.0 + (X_Squared/156.0)
|
))))));
|
))))));
|
|
|
Check (Actual, Expected,
|
Check (Actual, Expected,
|
"Subtraction_Error_Test " & Integer'Image (I) & ": sinh(" &
|
"Subtraction_Error_Test " & Integer'Image (I) & ": sinh(" &
|
Real'Image (X) & ") ",
|
Real'Image (X) & ") ",
|
15.0);
|
15.0);
|
|
|
if Accuracy_Error_Reported then
|
if Accuracy_Error_Reported then
|
-- only report the first error in this test in order to keep
|
-- only report the first error in this test in order to keep
|
-- lots of failures from producing a huge error log
|
-- lots of failures from producing a huge error log
|
return;
|
return;
|
end if;
|
end if;
|
|
|
end loop;
|
end loop;
|
|
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed
|
Report.Failed
|
("Constraint_Error raised in Subtraction_Error_Test");
|
("Constraint_Error raised in Subtraction_Error_Test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Subtraction_Error_Test");
|
Report.Failed ("exception in Subtraction_Error_Test");
|
end Subtraction_Error_Test;
|
end Subtraction_Error_Test;
|
|
|
|
|
procedure Exception_Test is
|
procedure Exception_Test is
|
X1, X2 : Real := 0.0;
|
X1, X2 : Real := 0.0;
|
begin
|
begin
|
-- this part of the test is only applicable if 'Machine_Overflows
|
-- this part of the test is only applicable if 'Machine_Overflows
|
-- is true.
|
-- is true.
|
if Real'Machine_Overflows then
|
if Real'Machine_Overflows then
|
|
|
begin
|
begin
|
X1 := Sinh (Real'Safe_Last / 2.0);
|
X1 := Sinh (Real'Safe_Last / 2.0);
|
Report.Failed ("no exception for sinh overflow");
|
Report.Failed ("no exception for sinh overflow");
|
exception
|
exception
|
when Constraint_Error => null;
|
when Constraint_Error => null;
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception sinh overflow");
|
Report.Failed ("wrong exception sinh overflow");
|
end;
|
end;
|
|
|
begin
|
begin
|
X2 := Cosh (Real'Safe_Last / 2.0);
|
X2 := Cosh (Real'Safe_Last / 2.0);
|
Report.Failed ("no exception for cosh overflow");
|
Report.Failed ("no exception for cosh overflow");
|
exception
|
exception
|
when Constraint_Error => null;
|
when Constraint_Error => null;
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception cosh overflow");
|
Report.Failed ("wrong exception cosh overflow");
|
end;
|
end;
|
|
|
end if;
|
end if;
|
|
|
-- optimizer thwarting
|
-- optimizer thwarting
|
if Report.Ident_Bool (False) then
|
if Report.Ident_Bool (False) then
|
Report.Comment (Real'Image (X1 + X2));
|
Report.Comment (Real'Image (X1 + X2));
|
end if;
|
end if;
|
end Exception_Test;
|
end Exception_Test;
|
|
|
|
|
procedure Do_Test is
|
procedure Do_Test is
|
begin
|
begin
|
Special_Value_Test;
|
Special_Value_Test;
|
Exact_Result_Test;
|
Exact_Result_Test;
|
Identity_1_Test;
|
Identity_1_Test;
|
Subtraction_Error_Test;
|
Subtraction_Error_Test;
|
Exception_Test;
|
Exception_Test;
|
end Do_Test;
|
end Do_Test;
|
end Generic_Check;
|
end Generic_Check;
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
package Float_Check is new Generic_Check (Float);
|
package Float_Check is new Generic_Check (Float);
|
|
|
-- check the floating point type with the most digits
|
-- check the floating point type with the most digits
|
type A_Long_Float is digits System.Max_Digits;
|
type A_Long_Float is digits System.Max_Digits;
|
package A_Long_Float_Check is new Generic_Check (A_Long_Float);
|
package A_Long_Float_Check is new Generic_Check (A_Long_Float);
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
|
|
|
|
begin
|
begin
|
Report.Test ("CXG2014",
|
Report.Test ("CXG2014",
|
"Check the accuracy of the SINH and COSH functions");
|
"Check the accuracy of the SINH and COSH functions");
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking Standard.Float");
|
Report.Comment ("checking Standard.Float");
|
end if;
|
end if;
|
|
|
Float_Check.Do_Test;
|
Float_Check.Do_Test;
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking a digits" &
|
Report.Comment ("checking a digits" &
|
Integer'Image (System.Max_Digits) &
|
Integer'Image (System.Max_Digits) &
|
" floating point type");
|
" floating point type");
|
end if;
|
end if;
|
|
|
A_Long_Float_Check.Do_Test;
|
A_Long_Float_Check.Do_Test;
|
|
|
|
|
Report.Result;
|
Report.Result;
|
end CXG2014;
|
end CXG2014;
|
|
|
