-- CXG2002.A
|
-- CXG2002.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 complex "abs" or modulus function returns
|
-- Check that the complex "abs" or modulus function returns
|
-- results that are within the error bound allowed.
|
-- results that are within the error bound allowed.
|
--
|
--
|
-- TEST DESCRIPTION:
|
-- TEST DESCRIPTION:
|
-- This test uses a generic package to compute and check the
|
-- This test uses a generic package to compute and check the
|
-- values of the modulus function. In addition, a non-generic
|
-- values of the modulus function. In addition, a non-generic
|
-- copy of this package is used to check the non-generic package
|
-- copy of this package is used to check the non-generic package
|
-- Ada.Numerics.Complex_Types.
|
-- Ada.Numerics.Complex_Types.
|
-- Of special interest is the case where either the real or
|
-- Of special interest is the case where either the real or
|
-- the imaginary part of the argument is very large while the
|
-- the imaginary part of the argument is very large while the
|
-- other part is very small or 0.
|
-- other part is very small or 0.
|
-- We want to check that the value is computed such that
|
-- We want to check that the value is computed such that
|
-- an overflow does not occur. If computed directly from the
|
-- an overflow does not occur. If computed directly from the
|
-- definition
|
-- definition
|
-- abs (x+yi) = sqrt(x**2 + y**2)
|
-- abs (x+yi) = sqrt(x**2 + y**2)
|
-- then overflow or underflow is much more likely than if the
|
-- then overflow or underflow is much more likely than if the
|
-- argument is normalized first.
|
-- argument is normalized first.
|
--
|
--
|
-- 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:
|
-- 31 JAN 96 SAIC Initial release for 2.1
|
-- 31 JAN 96 SAIC Initial release for 2.1
|
-- 02 JUN 98 EDS Add parens to intermediate calculations.
|
-- 02 JUN 98 EDS Add parens to intermediate calculations.
|
--!
|
--!
|
|
|
--
|
--
|
-- Reference:
|
-- Reference:
|
-- 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
|
-- Lecture Notes in Computer Science
|
-- Volume 142
|
-- Volume 142
|
-- Springer Verlag 1982
|
-- Springer Verlag 1982
|
--
|
--
|
|
|
with System;
|
with System;
|
with Report;
|
with Report;
|
with Ada.Numerics.Generic_Complex_Types;
|
with Ada.Numerics.Generic_Complex_Types;
|
with Ada.Numerics.Complex_Types;
|
with Ada.Numerics.Complex_Types;
|
procedure CXG2002 is
|
procedure CXG2002 is
|
Verbose : constant Boolean := False;
|
Verbose : constant Boolean := False;
|
Maximum_Relative_Error : constant := 3.0;
|
Maximum_Relative_Error : constant := 3.0;
|
|
|
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 Complex_Types is new
|
package Complex_Types is new
|
Ada.Numerics.Generic_Complex_Types (Real);
|
Ada.Numerics.Generic_Complex_Types (Real);
|
use Complex_Types;
|
use Complex_Types;
|
|
|
procedure Check (Actual, Expected : Real;
|
procedure Check (Actual, Expected : Real;
|
Test_Name : String;
|
Test_Name : String;
|
MRE : Real := Maximum_Relative_Error) is
|
MRE : Real := Maximum_Relative_Error) is
|
Rel_Error,
|
Rel_Error,
|
Abs_Error,
|
Abs_Error,
|
Max_Error : Real;
|
Max_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_Epsilon instead
|
-- we compute the maximum error as a multiple of Model_Epsilon 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_Epsilon;
|
Abs_Error := MRE * Real'Model_Epsilon;
|
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
|
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: " &
|
" difference: " &
|
Real'Image (Expected - Actual) &
|
Real'Image (Expected - Actual) &
|
" 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 Do_Test is
|
procedure Do_Test is
|
Z : Complex;
|
Z : Complex;
|
X : Real;
|
X : Real;
|
T : Real;
|
T : Real;
|
begin
|
begin
|
|
|
--- test 1 ---
|
--- test 1 ---
|
begin
|
begin
|
T := Real'Safe_Last;
|
T := Real'Safe_Last;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T, "test 1 -- abs(bigreal + 0i)");
|
Check (X, T, "test 1 -- abs(bigreal + 0i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 1");
|
Report.Failed ("Constraint_Error raised in test 1");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 1");
|
Report.Failed ("exception in test 1");
|
end;
|
end;
|
|
|
--- test 2 ---
|
--- test 2 ---
|
begin
|
begin
|
T := Real'Safe_Last;
|
T := Real'Safe_Last;
|
Z := 0.0 + T*i;
|
Z := 0.0 + T*i;
|
X := Modulus (Z);
|
X := Modulus (Z);
|
Check (X, T, "test 2 -- abs(0 + bigreal*i)");
|
Check (X, T, "test 2 -- abs(0 + bigreal*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 2");
|
Report.Failed ("Constraint_Error raised in test 2");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 2");
|
Report.Failed ("exception in test 2");
|
end;
|
end;
|
|
|
--- test 3 ---
|
--- test 3 ---
|
begin
|
begin
|
Z := 3.0 + 4.0*i;
|
Z := 3.0 + 4.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0 , "test 3 -- abs(3 + 4*i)");
|
Check (X, 5.0 , "test 3 -- abs(3 + 4*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 3");
|
Report.Failed ("Constraint_Error raised in test 3");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 3");
|
Report.Failed ("exception in test 3");
|
end;
|
end;
|
|
|
--- test 4 ---
|
--- test 4 ---
|
declare
|
declare
|
S : Real;
|
S : Real;
|
begin
|
begin
|
S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3);
|
S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3);
|
Z := 3.0 * S + 4.0*S*i;
|
Z := 3.0 * S + 4.0*S*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S",
|
Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S",
|
5.0*Real'Model_Epsilon);
|
5.0*Real'Model_Epsilon);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 4");
|
Report.Failed ("Constraint_Error raised in test 4");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 4");
|
Report.Failed ("exception in test 4");
|
end;
|
end;
|
|
|
--- test 5 ---
|
--- test 5 ---
|
begin
|
begin
|
T := Real'Model_Small;
|
T := Real'Model_Small;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 5 -- abs(small + 0*i)");
|
Check (X, T , "test 5 -- abs(small + 0*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 5");
|
Report.Failed ("Constraint_Error raised in test 5");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 5");
|
Report.Failed ("exception in test 5");
|
end;
|
end;
|
|
|
--- test 6 ---
|
--- test 6 ---
|
begin
|
begin
|
T := Real'Model_Small;
|
T := Real'Model_Small;
|
Z := 0.0 + T*i;
|
Z := 0.0 + T*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 6 -- abs(0 + small*i)");
|
Check (X, T , "test 6 -- abs(0 + small*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 6");
|
Report.Failed ("Constraint_Error raised in test 6");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 6");
|
Report.Failed ("exception in test 6");
|
end;
|
end;
|
|
|
--- test 7 ---
|
--- test 7 ---
|
declare
|
declare
|
S : Real;
|
S : Real;
|
begin
|
begin
|
S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3);
|
S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3);
|
Z := 3.0 * S + 4.0*S*i;
|
Z := 3.0 * S + 4.0*S*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S",
|
Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S",
|
5.0*Real'Model_Epsilon);
|
5.0*Real'Model_Epsilon);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 7");
|
Report.Failed ("Constraint_Error raised in test 7");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 7");
|
Report.Failed ("exception in test 7");
|
end;
|
end;
|
|
|
--- test 8 ---
|
--- test 8 ---
|
declare
|
declare
|
-- CRC Standard Mathematical Tables; 23rd Edition; pg 738
|
-- CRC Standard Mathematical Tables; 23rd Edition; pg 738
|
Sqrt2 : constant :=
|
Sqrt2 : constant :=
|
1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695;
|
1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695;
|
begin
|
begin
|
Z := 1.0 + 1.0*i;
|
Z := 1.0 + 1.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)");
|
Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 8");
|
Report.Failed ("Constraint_Error raised in test 8");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 8");
|
Report.Failed ("exception in test 8");
|
end;
|
end;
|
|
|
--- test 9 ---
|
--- test 9 ---
|
begin
|
begin
|
T := 0.0;
|
T := 0.0;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 5 -- abs(0 + 0*i)");
|
Check (X, T , "test 5 -- abs(0 + 0*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 9");
|
Report.Failed ("Constraint_Error raised in test 9");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 9");
|
Report.Failed ("exception in test 9");
|
end;
|
end;
|
end Do_Test;
|
end Do_Test;
|
end Generic_Check;
|
end Generic_Check;
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
--- non generic copy of the above generic package
|
--- non generic copy of the above generic package
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
|
|
package Non_Generic_Check is
|
package Non_Generic_Check is
|
subtype Real is Float;
|
subtype Real is Float;
|
procedure Do_Test;
|
procedure Do_Test;
|
end Non_Generic_Check;
|
end Non_Generic_Check;
|
|
|
package body Non_Generic_Check is
|
package body Non_Generic_Check is
|
use Ada.Numerics.Complex_Types;
|
use Ada.Numerics.Complex_Types;
|
|
|
procedure Check (Actual, Expected : Real;
|
procedure Check (Actual, Expected : Real;
|
Test_Name : String;
|
Test_Name : String;
|
MRE : Real := Maximum_Relative_Error) is
|
MRE : Real := Maximum_Relative_Error) is
|
Rel_Error,
|
Rel_Error,
|
Abs_Error,
|
Abs_Error,
|
Max_Error : Real;
|
Max_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_Epsilon instead
|
-- we compute the maximum error as a multiple of Model_Epsilon 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_Epsilon;
|
Abs_Error := MRE * Real'Model_Epsilon;
|
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
|
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: " &
|
" difference: " &
|
Real'Image (Expected - Actual) &
|
Real'Image (Expected - Actual) &
|
" 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 Do_Test is
|
procedure Do_Test is
|
Z : Complex;
|
Z : Complex;
|
X : Real;
|
X : Real;
|
T : Real;
|
T : Real;
|
begin
|
begin
|
|
|
--- test 1 ---
|
--- test 1 ---
|
begin
|
begin
|
T := Real'Safe_Last;
|
T := Real'Safe_Last;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T, "test 1 -- abs(bigreal + 0i)");
|
Check (X, T, "test 1 -- abs(bigreal + 0i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 1");
|
Report.Failed ("Constraint_Error raised in test 1");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 1");
|
Report.Failed ("exception in test 1");
|
end;
|
end;
|
|
|
--- test 2 ---
|
--- test 2 ---
|
begin
|
begin
|
T := Real'Safe_Last;
|
T := Real'Safe_Last;
|
Z := 0.0 + T*i;
|
Z := 0.0 + T*i;
|
X := Modulus (Z);
|
X := Modulus (Z);
|
Check (X, T, "test 2 -- abs(0 + bigreal*i)");
|
Check (X, T, "test 2 -- abs(0 + bigreal*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 2");
|
Report.Failed ("Constraint_Error raised in test 2");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 2");
|
Report.Failed ("exception in test 2");
|
end;
|
end;
|
|
|
--- test 3 ---
|
--- test 3 ---
|
begin
|
begin
|
Z := 3.0 + 4.0*i;
|
Z := 3.0 + 4.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0 , "test 3 -- abs(3 + 4*i)");
|
Check (X, 5.0 , "test 3 -- abs(3 + 4*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 3");
|
Report.Failed ("Constraint_Error raised in test 3");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 3");
|
Report.Failed ("exception in test 3");
|
end;
|
end;
|
|
|
--- test 4 ---
|
--- test 4 ---
|
declare
|
declare
|
S : Real;
|
S : Real;
|
begin
|
begin
|
S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3);
|
S := Real(Real'Machine_Radix) ** (Real'Machine_EMax - 3);
|
Z := 3.0 * S + 4.0*S*i;
|
Z := 3.0 * S + 4.0*S*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S",
|
Check (X, 5.0*S, "test 4 -- abs(3S + 4S*i) for large S",
|
5.0*Real'Model_Epsilon);
|
5.0*Real'Model_Epsilon);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 4");
|
Report.Failed ("Constraint_Error raised in test 4");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 4");
|
Report.Failed ("exception in test 4");
|
end;
|
end;
|
|
|
--- test 5 ---
|
--- test 5 ---
|
begin
|
begin
|
T := Real'Model_Small;
|
T := Real'Model_Small;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 5 -- abs(small + 0*i)");
|
Check (X, T , "test 5 -- abs(small + 0*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 5");
|
Report.Failed ("Constraint_Error raised in test 5");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 5");
|
Report.Failed ("exception in test 5");
|
end;
|
end;
|
|
|
--- test 6 ---
|
--- test 6 ---
|
begin
|
begin
|
T := Real'Model_Small;
|
T := Real'Model_Small;
|
Z := 0.0 + T*i;
|
Z := 0.0 + T*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 6 -- abs(0 + small*i)");
|
Check (X, T , "test 6 -- abs(0 + small*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 6");
|
Report.Failed ("Constraint_Error raised in test 6");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 6");
|
Report.Failed ("exception in test 6");
|
end;
|
end;
|
|
|
--- test 7 ---
|
--- test 7 ---
|
declare
|
declare
|
S : Real;
|
S : Real;
|
begin
|
begin
|
S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3);
|
S := Real(Real'Machine_Radix) ** (Real'Model_EMin + 3);
|
Z := 3.0 * S + 4.0*S*i;
|
Z := 3.0 * S + 4.0*S*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S",
|
Check (X, 5.0*S, "test 7 -- abs(3S + 4S*i) for small S",
|
5.0*Real'Model_Epsilon);
|
5.0*Real'Model_Epsilon);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 7");
|
Report.Failed ("Constraint_Error raised in test 7");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 7");
|
Report.Failed ("exception in test 7");
|
end;
|
end;
|
|
|
--- test 8 ---
|
--- test 8 ---
|
declare
|
declare
|
-- CRC Standard Mathematical Tables; 23rd Edition; pg 738
|
-- CRC Standard Mathematical Tables; 23rd Edition; pg 738
|
Sqrt2 : constant :=
|
Sqrt2 : constant :=
|
1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695;
|
1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695;
|
begin
|
begin
|
Z := 1.0 + 1.0*i;
|
Z := 1.0 + 1.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)");
|
Check (X, Sqrt2 , "test 8 -- abs(1 + 1*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 8");
|
Report.Failed ("Constraint_Error raised in test 8");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 8");
|
Report.Failed ("exception in test 8");
|
end;
|
end;
|
|
|
--- test 9 ---
|
--- test 9 ---
|
begin
|
begin
|
T := 0.0;
|
T := 0.0;
|
Z := T + 0.0*i;
|
Z := T + 0.0*i;
|
X := abs Z;
|
X := abs Z;
|
Check (X, T , "test 5 -- abs(0 + 0*i)");
|
Check (X, T , "test 5 -- abs(0 + 0*i)");
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in test 9");
|
Report.Failed ("Constraint_Error raised in test 9");
|
when others =>
|
when others =>
|
Report.Failed ("exception in test 9");
|
Report.Failed ("exception in test 9");
|
end;
|
end;
|
end Do_Test;
|
end Do_Test;
|
end Non_Generic_Check;
|
end Non_Generic_Check;
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
--- end of "manual instantiation"
|
--- end of "manual instantiation"
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
package Chk_Float is new Generic_Check (Float);
|
package Chk_Float 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 Chk_A_Long_Float is new Generic_Check (A_Long_Float);
|
package Chk_A_Long_Float is new Generic_Check (A_Long_Float);
|
begin
|
begin
|
Report.Test ("CXG2002",
|
Report.Test ("CXG2002",
|
"Check the accuracy of the complex modulus" &
|
"Check the accuracy of the complex modulus" &
|
" function");
|
" function");
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking Standard.Float");
|
Report.Comment ("checking Standard.Float");
|
end if;
|
end if;
|
Chk_Float.Do_Test;
|
Chk_Float.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;
|
Chk_A_Long_Float.Do_Test;
|
Chk_A_Long_Float.Do_Test;
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking non-generic package");
|
Report.Comment ("checking non-generic package");
|
end if;
|
end if;
|
Non_Generic_Check.Do_Test;
|
Non_Generic_Check.Do_Test;
|
Report.Result;
|
Report.Result;
|
end CXG2002;
|
end CXG2002;
|
|
|