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|
-- CXA5A07.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 function Arctan provides correct results.
--
-- TEST DESCRIPTION:
-- This test examines both the version of Arctan resulting from the
-- instantiation of the Ada.Numerics.Generic_Elementary_Functions with
-- a type derived from type Float, as well as the preinstantiated
-- version of this package for type Float.
-- Prescribed results, including instances prescribed to raise
-- exceptions, are examined in the test cases. In addition,
-- certain evaluations are performed where the actual function result
-- is compared with the expected result (within an epsilon range of
-- accuracy).
--
-- TEST FILES:
-- The following files comprise this test:
--
-- FXA5A00.A (foundation code)
-- CXA5A07.A
--
--
-- CHANGE HISTORY:
-- 04 Apr 95 SAIC Initial prerelease version.
-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
-- use of Result_Within_Range function overloaded for
-- FXA5A00.New_Float_Type.
-- 28 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi
--
-- CHANGE NOTE:
-- According to Ken Dritz, author of the Numerics Annex of the RM,
-- one should never specify the cycle 2.0*Pi for the trigonometric
-- functions. In particular, if the machine number for the first
-- argument is not an exact multiple of the machine number for the
-- explicit cycle, then the specified exact results cannot be
-- reasonably expected. The affected checks in this test have been
-- marked as comments, with the additional notation "pwb-math".
-- Phil Brashear
--!
with Ada.Numerics.Elementary_Functions;
with Ada.Numerics.Generic_Elementary_Functions;
with FXA5A00;
with Report;
procedure CXA5A07 is
begin
Report.Test ("CXA5A07", "Check that the Arctan function provides " &
"correct results");
Test_Block:
declare
use Ada.Numerics;
use FXA5A00;
package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
package EF renames Ada.Numerics.Elementary_Functions;
Float_Result : Float;
New_Float_Result : New_Float;
procedure Dont_Optimize_Float is new Dont_Optimize(Float);
procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
begin
-- Testing of Arctan Function, both instantiated and pre-instantiated
-- version.
-- Check that Argument_Error is raised by the Arctan function when
-- provided parameter values of 0.0, 0.0.
begin
New_Float_Result := GEF.Arctan(Y => 0.0, X => 0.0);
Report.Failed("Argument_Error not raised when the Arctan " &
"function is provided input of 0.0, 0.0");
Dont_Optimize_New_Float(New_Float_Result, 1);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Incorrect exception raised by the Arctan " &
"function when provided 0.0, 0.0 input parameters");
end;
-- Check that no exception is raised by the Arctan function when
-- provided a large positive or negative Y parameter value, when
-- using the default value for parameter X.
begin
Float_Result := EF.Arctan(Y => FXA5A00.Large);
Dont_Optimize_Float(Float_Result, 2);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a large positive Y parameter value");
end;
begin
New_Float_Result := GEF.Arctan(Y => New_Float(-FXA5A00.Large));
Dont_Optimize_New_Float(New_Float_Result, 3);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a large negative Y parameter value");
end;
-- Check that no exception is raised by the Arctan function when
-- provided a small positive or negative Y parameter value, when
-- using the default value for parameter X.
begin
Float_Result := EF.Arctan(Y => FXA5A00.Small);
Dont_Optimize_Float(Float_Result, 4);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a small positive Y parameter value");
end;
begin
New_Float_Result := GEF.Arctan(Y => New_Float(-FXA5A00.Small));
Dont_Optimize_New_Float(New_Float_Result, 5);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a small negative Y parameter value");
end;
-- Check that no exception is raised by the Arctan function when
-- provided combinations of large and small positive or negative
-- parameter values for both Y and X input parameters.
begin
Float_Result := EF.Arctan(Y => FXA5A00.Large, X => FXA5A00.Large);
Dont_Optimize_Float(Float_Result, 6);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided large positive X and Y parameter values");
end;
begin
New_Float_Result := GEF.Arctan(New_Float(-FXA5A00.Large),
X => New_Float(FXA5A00.Small));
Dont_Optimize_New_Float(New_Float_Result, 7);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a large negative Y parameter value " &
"and a small positive X parameter value");
end;
begin
Float_Result := EF.Arctan(Y => FXA5A00.Small, X => FXA5A00.Large);
Dont_Optimize_Float(Float_Result, 8);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a small positive Y parameter value " &
"and a large positive X parameter value");
end;
begin
New_Float_Result := GEF.Arctan(New_Float(-FXA5A00.Small),
New_Float(-FXA5A00.Large));
Dont_Optimize_New_Float(New_Float_Result, 9);
exception
when others =>
Report.Failed("Exception raised when the Arctan function is " &
"provided a small negative Y parameter value " &
"and a large negative parameter value");
end;
-- Check that when the Arctan function is provided a Y parameter value
-- of 0.0 and a positive X parameter input value, the prescribed result
-- of zero is returned.
if GEF.Arctan(Y => 0.0) /= 0.0 or -- Default X value
EF.Arctan(Y => 0.0, X => FXA5A00.Large) /= 0.0 or
--pwb-math: Next line: changed 2.0*Pi to 360.0
GEF.Arctan(0.0, 360.0) /= 0.0 or
EF.Arctan(0.0, FXA5A00.Small) /= 0.0
then
Report.Failed("Incorrect results from the Arctan function when " &
"provided a Y parameter value of 0.0 and various " &
"positive X parameter values");
end if;
-- Check that the Arctan function provides correct results when provided
-- a variety of Y parameter values.
if not FXA5A00.Result_Within_Range(EF.Arctan(Pi), 1.26, 0.01) or
not FXA5A00.Result_Within_Range(EF.Arctan(-Pi), -1.26, 0.01) or
not FXA5A00.Result_Within_Range(GEF.Arctan(1.0), 0.785, 0.001) or
not FXA5A00.Result_Within_Range(EF.Arctan(-1.0), -0.785, 0.001) or
not FXA5A00.Result_Within_Range(GEF.Arctan(0.25), 0.245, 0.001) or
not FXA5A00.Result_Within_Range(EF.Arctan(0.92), 0.744, 0.001)
then
Report.Failed("Incorrect results from the Arctan function when " &
"provided a variety of Y parameter values");
end if;
-- Check the results of the Arctan function with specified cycle
-- parameter.
-- Check that the Arctan function with specified Cycle parameter
-- raises Argument_Error when the value of the Cycle parameter is zero
-- or negative.
begin
Float_Result := EF.Arctan(Y => Pi, Cycle => 0.0); -- Default X value
Report.Failed("Argument_Error not raised by the Arctan function " &
"with default X parameter value, when the Cycle " &
"parameter is 0.0");
Dont_Optimize_Float(Float_Result, 10);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Incorrect exception raised by the Arctan " &
"function with default X parameter value, when " &
"provided a 0.0 cycle parameter value");
end;
begin
New_Float_Result := GEF.Arctan(Y => Pi, X => 1.0, Cycle => 0.0);
Report.Failed("Argument_Error not raised by the Arctan function " &
"when the Cycle parameter is 0.0");
Dont_Optimize_New_Float(New_Float_Result, 11);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Incorrect exception raised by the Arctan " &
"function when provided a 0.0 cycle parameter " &
"value");
end;
begin
Float_Result := EF.Arctan(Y => Pi, Cycle => -360.0);
Report.Failed("Argument_Error not raised by the Arctan function " &
"with a default X parameter value, when the Cycle " &
"parameter is -360.0");
Dont_Optimize_Float(Float_Result, 12);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Incorrect exception raised by the Arctan " &
"function with a default X parameter value, when " &
"provided a -360.0 cycle parameter value");
end;
begin
New_Float_Result := GEF.Arctan(Y => Pi, X => 1.0, Cycle => -Pi);
Report.Failed("Argument_Error not raised by the Arctan function " &
"when the Cycle parameter is -Pi");
Dont_Optimize_New_Float(New_Float_Result, 13);
exception
when Argument_Error => null; -- OK, expected exception.
when others =>
Report.Failed("Incorrect exception raised by the Arctan " &
"function when provided a -Pi cycle parameter " &
"value");
end;
-- Check that no exception is raised by the Arctan function with
-- specified Cycle parameter, when provided large and small positive
-- or negative parameter values for both Y and X input parameters.
begin
Float_Result := EF.Arctan(Y => -FXA5A00.Large,
X => -FXA5A00.Large,
--pwb-math: Next line: changed 2.0*Pi to 360.0
Cycle => 360.0);
Dont_Optimize_Float(Float_Result, 14);
exception
when others =>
Report.Failed("Exception raised when the Arctan function with " &
"specified Cycle parameter, when provided large " &
"negative X and Y parameter values");
end;
begin
New_Float_Result := GEF.Arctan(New_Float(FXA5A00.Large),
X => New_Float(-FXA5A00.Small),
--pwb-math: Next line: changed 2.0*Pi to 360.0
Cycle => 360.0);
Dont_Optimize_New_Float(New_Float_Result, 15);
exception
when others =>
Report.Failed("Exception raised when the Arctan function with " &
"specified Cycle parameter, when provided large " &
"positive Y parameter value and a small negative " &
"X parameter value");
end;
begin
Float_Result := EF.Arctan(Y => -FXA5A00.Small,
X => -FXA5A00.Large,
--pwb-math: Next line: changed 2.0*Pi to 360.0
Cycle => 360.0);
Dont_Optimize_Float(Float_Result, 16);
exception
when others =>
Report.Failed("Exception raised when the Arctan function with " &
"specified Cycle parameter, when provided large " &
"negative Y parameter value and a large negative " &
"X parameter value");
end;
begin
New_Float_Result := GEF.Arctan(New_Float(FXA5A00.Small),
New_Float(FXA5A00.Large),
--pwb-math: Next line: changed 2.0*Pi to 360.0
360.0);
Dont_Optimize_New_Float(New_Float_Result, 17);
exception
when others =>
Report.Failed("Exception raised when the Arctan function with " &
"specified Cycle parameter, when provided a " &
"small negative Y parameter value and a large " &
"positive X parameter value");
end;
-- Check that the Arctan function with specified Cycle parameter
-- provides correct results when provided a variety of Y parameter
-- input values.
--pwb-math if not FXA5A00.Result_Within_Range(EF.Arctan(Pi, Cycle => 2.0*Pi),
--pwb-math 1.26,
--pwb-math 0.01) or
--pwb-math not FXA5A00.Result_Within_Range(EF.Arctan(-Pi, Cycle => 2.0*Pi),
--pwb-math -1.26,
--pwb-math 0.01) or
--pwb-math not FXA5A00.Result_Within_Range(GEF.Arctan(1.0, Cycle => 2.0*Pi),
--pwb-math 0.785,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range(EF.Arctan(-1.0, Cycle => 2.0*Pi),
--pwb-math -0.785,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range(GEF.Arctan(0.16, Cycle => 2.0*Pi),
--pwb-math 0.159,
--pwb-math 0.001) or
--pwb-math not FXA5A00.Result_Within_Range(EF.Arctan(1.0, Cycle => 360.0),
--pwb-math 45.0,
--pwb-math 0.1) or
--pwb-math not FXA5A00.Result_Within_Range(GEF.Arctan(1.0, Cycle => 100.0),
--pwb-math 12.5,
--pwb-math 0.1)
--pwb-math Next 12 lines are replacements for 21 commented lines above
if not FXA5A00.Result_Within_Range(GEF.Arctan(1.0, Cycle => 2.0*180.0),
45.0,
0.001) or
not FXA5A00.Result_Within_Range(EF.Arctan(-1.0, Cycle => 2.0*180.0),
-45.0,
0.001) or
not FXA5A00.Result_Within_Range(EF.Arctan(1.0, Cycle => 360.0),
45.0,
0.1) or
not FXA5A00.Result_Within_Range(GEF.Arctan(1.0, Cycle => 100.0),
12.5,
0.1)
then
Report.Failed("Incorrect results from the Arctan function with " &
"specified Cycle parameter when provided a variety " &
"of Y parameter values");
end if;
exception
when others => Report.Failed ("Exception raised in Test_Block");
end Test_Block;
Report.Result;
end CXA5A07;
|
