-- CXG2013.A
|
-- CXG2013.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 TAN and COT functions return
|
-- Check that the TAN and COT 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:
|
-- 11 Mar 96 SAIC Initial release for 2.1
|
-- 11 Mar 96 SAIC Initial release for 2.1
|
-- 17 Aug 96 SAIC Commentary fixes.
|
-- 17 Aug 96 SAIC Commentary fixes.
|
-- 03 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi
|
-- 03 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi
|
-- 02 DEC 97 EDS Change Max_Samples constant to 1001.
|
-- 02 DEC 97 EDS Change Max_Samples constant to 1001.
|
-- 29 JUN 98 EDS Deleted Special_Angle_Test as fatally flawed.
|
-- 29 JUN 98 EDS Deleted Special_Angle_Test as fatally flawed.
|
|
|
--!
|
--!
|
|
|
--
|
--
|
-- 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 CXG2013 is
|
procedure CXG2013 is
|
Verbose : constant Boolean := False;
|
Verbose : constant Boolean := False;
|
Max_Samples : constant := 1001;
|
Max_Samples : constant := 1001;
|
|
|
-- 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;
|
Sqrt3 : constant :=
|
Sqrt3 : constant :=
|
1.73205_08075_68877_29352_74463_41505_87236_69428_05253_81039;
|
1.73205_08075_68877_29352_74463_41505_87236_69428_05253_81039;
|
|
|
Pi : constant := Ada.Numerics.Pi;
|
Pi : constant := Ada.Numerics.Pi;
|
|
|
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 Sqrt (X : Real) return Real renames
|
function Sqrt (X : Real) return Real renames
|
Elementary_Functions.Sqrt;
|
Elementary_Functions.Sqrt;
|
function Tan (X : Real) return Real renames
|
function Tan (X : Real) return Real renames
|
Elementary_Functions.Tan;
|
Elementary_Functions.Tan;
|
function Cot (X : Real) return Real renames
|
function Cot (X : Real) return Real renames
|
Elementary_Functions.Cot;
|
Elementary_Functions.Cot;
|
function Tan (X, Cycle : Real) return Real renames
|
function Tan (X, Cycle : Real) return Real renames
|
Elementary_Functions.Tan;
|
Elementary_Functions.Tan;
|
function Cot (X, Cycle : Real) return Real renames
|
function Cot (X, Cycle : Real) return Real renames
|
Elementary_Functions.Cot;
|
Elementary_Functions.Cot;
|
|
|
-- flag used to terminate some tests early
|
-- flag used to terminate some tests early
|
Accuracy_Error_Reported : Boolean := False;
|
Accuracy_Error_Reported : Boolean := False;
|
|
|
-- factor to be applied in computing MRE
|
-- factor to be applied in computing MRE
|
Maximum_Relative_Error : constant Real := 4.0;
|
Maximum_Relative_Error : constant Real := 4.0;
|
|
|
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_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
|
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 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 (Tan (0.0), 0.0, "tan(0)", No_Error);
|
Check (Tan (0.0), 0.0, "tan(0)", No_Error);
|
|
|
-- A.5.1(41);6.0
|
-- A.5.1(41);6.0
|
Check (Tan (180.0, 360.0), 0.0, "tan(180,360)", No_Error);
|
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 (360.0, 360.0), 0.0, "tan(360,360)", No_Error);
|
Check (Tan (720.0, 360.0), 0.0, "tan(720,360)", No_Error);
|
Check (Tan (720.0, 360.0), 0.0, "tan(720,360)", No_Error);
|
|
|
-- A.5.1(41);6.0
|
-- A.5.1(41);6.0
|
Check (Cot ( 90.0, 360.0), 0.0, "cot( 90,360)", No_Error);
|
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 (270.0, 360.0), 0.0, "cot(270,360)", No_Error);
|
Check (Cot (810.0, 360.0), 0.0, "cot(810,360)", No_Error);
|
Check (Cot (810.0, 360.0), 0.0, "cot(810,360)", 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 Tan_Test (A, B : Real) is
|
procedure Tan_Test (A, B : Real) is
|
-- Use identity Tan(X) = [2*Tan(x/2)]/[1-Tan(x/2) ** 2]
|
-- 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 -pi/4 .. pi/4 require no argument reduction
|
-- checks over the range 7pi/8 .. 9pi/8 require argument reduction
|
-- checks over the range 7pi/8 .. 9pi/8 require argument reduction
|
X, Y : Real;
|
X, Y : Real;
|
Actual1, Actual2 : Real;
|
Actual1, Actual2 : Real;
|
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
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
-- argument purification to insure x and x/2 are exact
|
-- argument purification to insure x and x/2 are exact
|
-- See Cody page 170.
|
-- See Cody page 170.
|
Y := Real'Machine (X*0.5);
|
Y := Real'Machine (X*0.5);
|
X := Real'Machine (Y + Y);
|
X := Real'Machine (Y + Y);
|
|
|
Actual1 := Tan(X);
|
Actual1 := Tan(X);
|
Actual2 := (2.0 * Tan (Y)) / (1.0 - Tan (Y) ** 2);
|
Actual2 := (2.0 * Tan (Y)) / (1.0 - Tan (Y) ** 2);
|
|
|
if abs (X - Pi) > ( (B-A)/Real(2*Max_Samples) ) then
|
if abs (X - Pi) > ( (B-A)/Real(2*Max_Samples) ) then
|
Check (Actual1, Actual2,
|
Check (Actual1, Actual2,
|
"Tan_Test " & Integer'Image (I) & ": tan(" &
|
"Tan_Test " & Integer'Image (I) & ": tan(" &
|
Real'Image (X) & ") ",
|
Real'Image (X) & ") ",
|
(1.0 + Sqrt2) * Maximum_Relative_Error);
|
(1.0 + Sqrt2) * Maximum_Relative_Error);
|
-- see Cody pg 165 for error bound info
|
-- see Cody pg 165 for error bound info
|
end if;
|
end if;
|
|
|
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 Tan_Test");
|
("Constraint_Error raised in Tan_Test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Tan_Test");
|
Report.Failed ("exception in Tan_Test");
|
end Tan_Test;
|
end Tan_Test;
|
|
|
|
|
|
|
procedure Cot_Test is
|
procedure Cot_Test is
|
-- Use identity Cot(X) = [Cot(X/2)**2 - 1]/[2*Cot(X/2)]
|
-- Use identity Cot(X) = [Cot(X/2)**2 - 1]/[2*Cot(X/2)]
|
A : constant := 6.0 * Pi;
|
A : constant := 6.0 * Pi;
|
B : constant := 25.0 / 4.0 * Pi;
|
B : constant := 25.0 / 4.0 * Pi;
|
X, Y : Real;
|
X, Y : Real;
|
Actual1, Actual2 : Real;
|
Actual1, Actual2 : Real;
|
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
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
X := (B - A) * Real (I) / Real (Max_Samples) + A;
|
-- argument purification to insure x and x/2 are exact.
|
-- argument purification to insure x and x/2 are exact.
|
-- See Cody page 170.
|
-- See Cody page 170.
|
Y := Real'Machine (X*0.5);
|
Y := Real'Machine (X*0.5);
|
X := Real'Machine (Y + Y);
|
X := Real'Machine (Y + Y);
|
|
|
Actual1 := Cot(X);
|
Actual1 := Cot(X);
|
Actual2 := (Cot (Y) ** 2 - 1.0) / (2.0 * Cot (Y));
|
Actual2 := (Cot (Y) ** 2 - 1.0) / (2.0 * Cot (Y));
|
|
|
Check (Actual1, Actual2,
|
Check (Actual1, Actual2,
|
"Cot_Test " & Integer'Image (I) & ": cot(" &
|
"Cot_Test " & Integer'Image (I) & ": cot(" &
|
Real'Image (X) & ") ",
|
Real'Image (X) & ") ",
|
(1.0 + Sqrt2) * Maximum_Relative_Error);
|
(1.0 + Sqrt2) * Maximum_Relative_Error);
|
-- see Cody pg 165 for error bound info
|
-- see Cody pg 165 for error bound info
|
|
|
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 Cot_Test");
|
("Constraint_Error raised in Cot_Test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Cot_Test");
|
Report.Failed ("exception in Cot_Test");
|
end Cot_Test;
|
end Cot_Test;
|
|
|
|
|
procedure Exception_Test is
|
procedure Exception_Test is
|
X1, X2, X3, X4, X5 : Real := 0.0;
|
X1, X2, X3, X4, X5 : Real := 0.0;
|
begin
|
begin
|
|
|
|
|
begin -- A.5.1(20);6.0
|
begin -- A.5.1(20);6.0
|
X1 := Tan (0.0, Cycle => 0.0);
|
X1 := Tan (0.0, Cycle => 0.0);
|
Report.Failed ("no exception for cycle = 0.0");
|
Report.Failed ("no exception for cycle = 0.0");
|
exception
|
exception
|
when Ada.Numerics.Argument_Error => null;
|
when Ada.Numerics.Argument_Error => null;
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception for cycle = 0.0");
|
Report.Failed ("wrong exception for cycle = 0.0");
|
end;
|
end;
|
|
|
begin -- A.5.1(20);6.0
|
begin -- A.5.1(20);6.0
|
X2 := Cot (1.0, Cycle => -3.0);
|
X2 := Cot (1.0, Cycle => -3.0);
|
Report.Failed ("no exception for cycle < 0.0");
|
Report.Failed ("no exception for cycle < 0.0");
|
exception
|
exception
|
when Ada.Numerics.Argument_Error => null;
|
when Ada.Numerics.Argument_Error => null;
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception for cycle < 0.0");
|
Report.Failed ("wrong exception for cycle < 0.0");
|
end;
|
end;
|
|
|
-- the remaining tests only apply to machines that overflow
|
-- the remaining tests only apply to machines that overflow
|
if Real'Machine_Overflows then -- A.5.1(28);6.0
|
if Real'Machine_Overflows then -- A.5.1(28);6.0
|
|
|
begin -- A.5.1(29);6.0
|
begin -- A.5.1(29);6.0
|
X3 := Cot (0.0);
|
X3 := Cot (0.0);
|
Report.Failed ("exception not raised for cot(0)");
|
Report.Failed ("exception not raised for cot(0)");
|
exception
|
exception
|
when Constraint_Error => null; -- ok
|
when Constraint_Error => null; -- ok
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception raised for cot(0)");
|
Report.Failed ("wrong exception raised for cot(0)");
|
end;
|
end;
|
|
|
begin -- A.5.1(31);6.0
|
begin -- A.5.1(31);6.0
|
X4 := Tan (90.0, 360.0);
|
X4 := Tan (90.0, 360.0);
|
Report.Failed ("exception not raised for tan(90,360)");
|
Report.Failed ("exception not raised for tan(90,360)");
|
exception
|
exception
|
when Constraint_Error => null; -- ok
|
when Constraint_Error => null; -- ok
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception raised for tan(90,360)");
|
Report.Failed ("wrong exception raised for tan(90,360)");
|
end;
|
end;
|
|
|
begin -- A.5.1(32);6.0
|
begin -- A.5.1(32);6.0
|
X5 := Cot (180.0, 360.0);
|
X5 := Cot (180.0, 360.0);
|
Report.Failed ("exception not raised for cot(180,360)");
|
Report.Failed ("exception not raised for cot(180,360)");
|
exception
|
exception
|
when Constraint_Error => null; -- ok
|
when Constraint_Error => null; -- ok
|
when others =>
|
when others =>
|
Report.Failed ("wrong exception raised for cot(180,360)");
|
Report.Failed ("wrong exception raised for cot(180,360)");
|
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+X3+X4+X5));
|
Report.Comment (Real'Image (X1+X2+X3+X4+X5));
|
end if;
|
end if;
|
end Exception_Test;
|
end Exception_Test;
|
|
|
|
|
procedure Do_Test is
|
procedure Do_Test is
|
begin
|
begin
|
Exact_Result_Test;
|
Exact_Result_Test;
|
Tan_Test (-Pi/4.0, Pi/4.0);
|
Tan_Test (-Pi/4.0, Pi/4.0);
|
Tan_Test (7.0*Pi/8.0, 9.0*Pi/8.0);
|
Tan_Test (7.0*Pi/8.0, 9.0*Pi/8.0);
|
Cot_Test;
|
Cot_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 ("CXG2013",
|
Report.Test ("CXG2013",
|
"Check the accuracy of the TAN and COT functions");
|
"Check the accuracy of the TAN and COT 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 CXG2013;
|
end CXG2013;
|
|
|