-- CXA5A08.A
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-- CXA5A08.A
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--
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--
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-- Grant of Unlimited Rights
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-- Grant of Unlimited Rights
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--
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--
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-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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-- unlimited rights in the software and documentation contained herein.
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-- unlimited rights in the software and documentation contained herein.
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-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
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-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
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-- this public release, the Government intends to confer upon all
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-- this public release, the Government intends to confer upon all
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-- recipients unlimited rights equal to those held by the Government.
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-- recipients unlimited rights equal to those held by the Government.
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-- These rights include rights to use, duplicate, release or disclose the
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-- These rights include rights to use, duplicate, release or disclose the
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-- released technical data and computer software in whole or in part, in
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-- released technical data and computer software in whole or in part, in
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-- any manner and for any purpose whatsoever, and to have or permit others
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-- any manner and for any purpose whatsoever, and to have or permit others
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-- to do so.
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-- to do so.
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--
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--
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-- DISCLAIMER
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-- DISCLAIMER
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--
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--
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-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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-- PARTICULAR PURPOSE OF SAID MATERIAL.
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-- PARTICULAR PURPOSE OF SAID MATERIAL.
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--*
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--*
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--
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--
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-- OBJECTIVE:
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-- OBJECTIVE:
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-- Check that the function Arccot provides correct results.
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-- Check that the function Arccot provides correct results.
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--
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--
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-- TEST DESCRIPTION:
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-- TEST DESCRIPTION:
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-- This test examines both the version of Arccot resulting from the
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-- This test examines both the version of Arccot resulting from the
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-- instantiation of the Ada.Numerics.Generic_Elementary_Functions
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-- instantiation of the Ada.Numerics.Generic_Elementary_Functions
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-- with a type derived from type Float, as well as the preinstantiated
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-- with a type derived from type Float, as well as the preinstantiated
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-- version of this package for type Float.
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-- version of this package for type Float.
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-- Prescribed results, including instances prescribed to raise
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-- Prescribed results, including instances prescribed to raise
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-- exceptions, are examined in the test cases. In addition,
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-- exceptions, are examined in the test cases. In addition,
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-- certain evaluations are performed where the actual function result
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-- certain evaluations are performed where the actual function result
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-- is compared with the expected result (within an epsilon range of
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-- is compared with the expected result (within an epsilon range of
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-- accuracy).
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-- accuracy).
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--
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--
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-- TEST FILES:
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-- TEST FILES:
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-- The following files comprise this test:
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-- The following files comprise this test:
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--
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--
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-- FXA5A00.A (foundation code)
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-- FXA5A00.A (foundation code)
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-- CXA5A08.A
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-- CXA5A08.A
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--
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--
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--
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--
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-- CHANGE HISTORY:
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-- CHANGE HISTORY:
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-- 06 Apr 95 SAIC Initial prerelease version.
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-- 06 Apr 95 SAIC Initial prerelease version.
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-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
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-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
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-- use of Result_Within_Range function overloaded for
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-- use of Result_Within_Range function overloaded for
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-- FXA5A00.New_Float_Type.
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-- FXA5A00.New_Float_Type.
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-- 18 Apr 96 SAIC Incorporated reviewer comments for ACVC 2.1.
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-- 18 Apr 96 SAIC Incorporated reviewer comments for ACVC 2.1.
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-- 28 Feb 97 CTA.PWB Removed checks with explicit Cycle => 2.0*Pi
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-- 28 Feb 97 CTA.PWB Removed checks with explicit Cycle => 2.0*Pi
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--
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--
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-- CHANGE NOTE:
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-- CHANGE NOTE:
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-- According to Ken Dritz, author of the Numerics Annex of the RM,
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-- According to Ken Dritz, author of the Numerics Annex of the RM,
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-- one should never specify the cycle 2.0*Pi for the trigonometric
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-- one should never specify the cycle 2.0*Pi for the trigonometric
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-- functions. In particular, if the machine number for the first
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-- functions. In particular, if the machine number for the first
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-- argument is not an exact multiple of the machine number for the
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-- argument is not an exact multiple of the machine number for the
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-- explicit cycle, then the specified exact results cannot be
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-- explicit cycle, then the specified exact results cannot be
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-- reasonably expected. The affected checks in this test have been
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-- reasonably expected. The affected checks in this test have been
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-- marked as comments, with the additional notation "pwb-math".
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-- marked as comments, with the additional notation "pwb-math".
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-- Phil Brashear
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-- Phil Brashear
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--!
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--!
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|
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with Ada.Exceptions;
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with Ada.Exceptions;
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with Ada.Numerics.Elementary_Functions;
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with Ada.Numerics.Elementary_Functions;
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with Ada.Numerics.Generic_Elementary_Functions;
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with Ada.Numerics.Generic_Elementary_Functions;
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with FXA5A00;
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with FXA5A00;
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with Report;
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with Report;
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procedure CXA5A08 is
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procedure CXA5A08 is
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begin
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begin
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Report.Test ("CXA5A08", "Check that the Arccot function provides " &
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Report.Test ("CXA5A08", "Check that the Arccot function provides " &
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"correct results");
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"correct results");
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Test_Block:
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Test_Block:
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declare
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declare
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|
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use Ada.Exceptions;
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use Ada.Exceptions;
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use Ada.Numerics;
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use Ada.Numerics;
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use FXA5A00;
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use FXA5A00;
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|
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package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
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package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
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package EF renames Ada.Numerics.Elementary_Functions;
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package EF renames Ada.Numerics.Elementary_Functions;
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|
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Float_Result : Float;
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Float_Result : Float;
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Angle : Float;
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Angle : Float;
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New_Float_Result : New_Float;
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New_Float_Result : New_Float;
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New_Float_Angle : New_Float;
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New_Float_Angle : New_Float;
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Incorrect_Inverse : Boolean := False;
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Incorrect_Inverse : Boolean := False;
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procedure Dont_Optimize_Float is new Dont_Optimize(Float);
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procedure Dont_Optimize_Float is new Dont_Optimize(Float);
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procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
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procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
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begin
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begin
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|
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-- Testing of Arccot Function, both instantiated and pre-instantiated
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-- Testing of Arccot Function, both instantiated and pre-instantiated
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-- version.
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-- version.
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|
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-- Check that Argument_Error is raised by the Arccot function when
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-- Check that Argument_Error is raised by the Arccot function when
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-- provided parameter values of 0.0, 0.0.
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-- provided parameter values of 0.0, 0.0.
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begin
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begin
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New_Float_Result := GEF.Arccot(X => 0.0, Y => 0.0);
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New_Float_Result := GEF.Arccot(X => 0.0, Y => 0.0);
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Report.Failed("Argument_Error not raised when the Arccot " &
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Report.Failed("Argument_Error not raised when the Arccot " &
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"function is provided input of 0.0, 0.0");
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"function is provided input of 0.0, 0.0");
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Dont_Optimize_New_Float(New_Float_Result, 1);
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Dont_Optimize_New_Float(New_Float_Result, 1);
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exception
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exception
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when Argument_Error => null; -- OK, expected exception.
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when Argument_Error => null; -- OK, expected exception.
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when others =>
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when others =>
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Report.Failed("Incorrect exception raised by the Arccot " &
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Report.Failed("Incorrect exception raised by the Arccot " &
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"function when provided 0.0, 0.0 input parameters");
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"function when provided 0.0, 0.0 input parameters");
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end;
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end;
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-- Check that no exception is raised by the Arccot function when
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-- Check that no exception is raised by the Arccot function when
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-- provided a large positive or negative X parameter value, when
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-- provided a large positive or negative X parameter value, when
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-- using the default value for parameter Y.
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-- using the default value for parameter Y.
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begin
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begin
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Float_Result := EF.Arccot(X => FXA5A00.Large);
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Float_Result := EF.Arccot(X => FXA5A00.Large);
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Dont_Optimize_Float(Float_Result, 2);
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Dont_Optimize_Float(Float_Result, 2);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a large positive X parameter value");
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"provided a large positive X parameter value");
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end;
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end;
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begin
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begin
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New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Large));
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New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Large));
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Dont_Optimize_New_Float(New_Float_Result, 3);
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Dont_Optimize_New_Float(New_Float_Result, 3);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a large negative X parameter value");
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"provided a large negative X parameter value");
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end;
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end;
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-- Check that no exception is raised by the Arccot function when
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-- Check that no exception is raised by the Arccot function when
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-- provided a small positive or negative X parameter value, when
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-- provided a small positive or negative X parameter value, when
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-- using the default value for parameter Y.
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-- using the default value for parameter Y.
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|
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begin
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begin
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Float_Result := EF.Arccot(X => FXA5A00.Small);
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Float_Result := EF.Arccot(X => FXA5A00.Small);
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Dont_Optimize_Float(Float_Result, 4);
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Dont_Optimize_Float(Float_Result, 4);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a small positive X parameter value");
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"provided a small positive X parameter value");
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end;
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end;
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|
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begin
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begin
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New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Small));
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New_Float_Result := GEF.Arccot(X => New_Float(-FXA5A00.Small));
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Dont_Optimize_New_Float(New_Float_Result, 5);
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Dont_Optimize_New_Float(New_Float_Result, 5);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a small negative X parameter value");
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"provided a small negative X parameter value");
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end;
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end;
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|
|
|
|
-- Check that no exception is raised by the Arccot function when
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-- Check that no exception is raised by the Arccot function when
|
-- provided combinations of large and small positive or negative
|
-- provided combinations of large and small positive or negative
|
-- parameter values for both X and Y input parameters.
|
-- parameter values for both X and Y input parameters.
|
|
|
begin
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begin
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Float_Result := EF.Arccot(X => FXA5A00.Large, Y => FXA5A00.Large);
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Float_Result := EF.Arccot(X => FXA5A00.Large, Y => FXA5A00.Large);
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Dont_Optimize_Float(Float_Result, 6);
|
Dont_Optimize_Float(Float_Result, 6);
|
exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided large positive X and Y parameter values");
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"provided large positive X and Y parameter values");
|
end;
|
end;
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|
|
begin
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begin
|
New_Float_Result := GEF.Arccot(New_Float(-FXA5A00.Large),
|
New_Float_Result := GEF.Arccot(New_Float(-FXA5A00.Large),
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Y => New_Float(FXA5A00.Small));
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Y => New_Float(FXA5A00.Small));
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Dont_Optimize_New_Float(New_Float_Result, 7);
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Dont_Optimize_New_Float(New_Float_Result, 7);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a large negative X parameter value " &
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"provided a large negative X parameter value " &
|
"and a small positive Y parameter value");
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"and a small positive Y parameter value");
|
end;
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end;
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|
|
|
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begin
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begin
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Float_Result := EF.Arccot(X => FXA5A00.Small, Y => FXA5A00.Large);
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Float_Result := EF.Arccot(X => FXA5A00.Small, Y => FXA5A00.Large);
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Dont_Optimize_Float(Float_Result, 8);
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Dont_Optimize_Float(Float_Result, 8);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a small positive X parameter value " &
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"provided a small positive X parameter value " &
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"and a large positive Y parameter value");
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"and a large positive Y parameter value");
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end;
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end;
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|
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begin
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begin
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New_Float_Result := GEF.Arccot(New_Float(-FXA5A00.Small),
|
New_Float_Result := GEF.Arccot(New_Float(-FXA5A00.Small),
|
New_Float(-FXA5A00.Large));
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New_Float(-FXA5A00.Large));
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Dont_Optimize_New_Float(New_Float_Result, 9);
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Dont_Optimize_New_Float(New_Float_Result, 9);
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exception
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exception
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when others =>
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when others =>
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Report.Failed("Exception raised when the Arccot function is " &
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Report.Failed("Exception raised when the Arccot function is " &
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"provided a small negative X parameter value " &
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"provided a small negative X parameter value " &
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"and a large negative Y parameter value");
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"and a large negative Y parameter value");
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end;
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end;
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|
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-- Check that when the Arccot function is provided a Y parameter value
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-- Check that when the Arccot function is provided a Y parameter value
|
-- of 0.0 and a positive X parameter input value, the prescribed result
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-- of 0.0 and a positive X parameter input value, the prescribed result
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-- of zero is returned.
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-- of zero is returned.
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|
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if EF.Arccot(X => FXA5A00.Large, Y => 0.0) /= 0.0 or
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if EF.Arccot(X => FXA5A00.Large, Y => 0.0) /= 0.0 or
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GEF.Arccot(2.0*Pi, Y => 0.0) /= 0.0 or
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GEF.Arccot(2.0*Pi, Y => 0.0) /= 0.0 or
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EF.Arccot(FXA5A00.Small, 0.0) /= 0.0 or
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EF.Arccot(FXA5A00.Small, 0.0) /= 0.0 or
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EF.Arccot(X => FXA5A00.Large, Y => 0.0, Cycle => 360.0) /= 0.0 or
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EF.Arccot(X => FXA5A00.Large, Y => 0.0, Cycle => 360.0) /= 0.0 or
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GEF.Arccot(2.0*Pi, Y => 0.0, Cycle => 360.0) /= 0.0 or
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GEF.Arccot(2.0*Pi, Y => 0.0, Cycle => 360.0) /= 0.0 or
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EF.Arccot(FXA5A00.Small, 0.0, Cycle => 360.0) /= 0.0
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EF.Arccot(FXA5A00.Small, 0.0, Cycle => 360.0) /= 0.0
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then
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then
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Report.Failed("Incorrect results from the Arccot function when " &
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Report.Failed("Incorrect results from the Arccot function when " &
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"provided a Y parameter value of 0.0 and various " &
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"provided a Y parameter value of 0.0 and various " &
|
"positive X parameter values");
|
"positive X parameter values");
|
end if;
|
end if;
|
|
|
|
|
-- Check that the Arccot function provides correct results when
|
-- Check that the Arccot function provides correct results when
|
-- provided a variety of X parameter values.
|
-- provided a variety of X parameter values.
|
|
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if not Result_Within_Range( EF.Arccot( 1.0), Pi/4.0, 0.001) or
|
if not Result_Within_Range( EF.Arccot( 1.0), Pi/4.0, 0.001) or
|
not Result_Within_Range(GEF.Arccot( 0.0), Pi/2.0, 0.001) or
|
not Result_Within_Range(GEF.Arccot( 0.0), Pi/2.0, 0.001) or
|
not Result_Within_Range( EF.Arccot(-1.0), 3.0*Pi/4.0, 0.001)
|
not Result_Within_Range( EF.Arccot(-1.0), 3.0*Pi/4.0, 0.001)
|
then
|
then
|
Report.Failed("Incorrect results from the Arccot function when " &
|
Report.Failed("Incorrect results from the Arccot function when " &
|
"provided a variety of Y parameter values");
|
"provided a variety of Y parameter values");
|
end if;
|
end if;
|
|
|
|
|
-- Check the results of the Arccot function with specified cycle
|
-- Check the results of the Arccot function with specified cycle
|
-- parameter.
|
-- parameter.
|
|
|
-- Check that the Arccot function with specified Cycle parameter
|
-- Check that the Arccot function with specified Cycle parameter
|
-- raises Argument_Error when the value of the Cycle parameter is zero
|
-- raises Argument_Error when the value of the Cycle parameter is zero
|
-- or negative.
|
-- or negative.
|
|
|
begin
|
begin
|
Float_Result := EF.Arccot(X => Pi, Cycle => 0.0); -- Default Y value
|
Float_Result := EF.Arccot(X => Pi, Cycle => 0.0); -- Default Y value
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
"with default Y parameter value, when the Cycle " &
|
"with default Y parameter value, when the Cycle " &
|
"parameter is 0.0");
|
"parameter is 0.0");
|
Dont_Optimize_Float(Float_Result, 10);
|
Dont_Optimize_Float(Float_Result, 10);
|
exception
|
exception
|
when Argument_Error => null; -- OK, expected exception.
|
when Argument_Error => null; -- OK, expected exception.
|
when others =>
|
when others =>
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
"function with default Y parameter value, when " &
|
"function with default Y parameter value, when " &
|
"provided a 0.0 cycle parameter value");
|
"provided a 0.0 cycle parameter value");
|
end;
|
end;
|
|
|
begin
|
begin
|
New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => 0.0);
|
New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => 0.0);
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
"when the Cycle parameter is 0.0");
|
"when the Cycle parameter is 0.0");
|
Dont_Optimize_New_Float(New_Float_Result, 11);
|
Dont_Optimize_New_Float(New_Float_Result, 11);
|
exception
|
exception
|
when Argument_Error => null; -- OK, expected exception.
|
when Argument_Error => null; -- OK, expected exception.
|
when others =>
|
when others =>
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
"function when provided a 0.0 cycle parameter " &
|
"function when provided a 0.0 cycle parameter " &
|
"value");
|
"value");
|
end;
|
end;
|
|
|
begin
|
begin
|
Float_Result := EF.Arccot(X => Pi, Cycle => -360.0);
|
Float_Result := EF.Arccot(X => Pi, Cycle => -360.0);
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
"with a default Y parameter value, when the Cycle " &
|
"with a default Y parameter value, when the Cycle " &
|
"parameter is -360.0");
|
"parameter is -360.0");
|
Dont_Optimize_Float(Float_Result, 12);
|
Dont_Optimize_Float(Float_Result, 12);
|
exception
|
exception
|
when Argument_Error => null; -- OK, expected exception.
|
when Argument_Error => null; -- OK, expected exception.
|
when others =>
|
when others =>
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
"function with a default Y parameter value, when " &
|
"function with a default Y parameter value, when " &
|
"provided a -360.0 cycle parameter value");
|
"provided a -360.0 cycle parameter value");
|
end;
|
end;
|
|
|
begin
|
begin
|
New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => -Pi);
|
New_Float_Result := GEF.Arccot(X => Pi, Y => 1.0, Cycle => -Pi);
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
Report.Failed("Argument_Error not raised by the Arccot function " &
|
"when the Cycle parameter is -Pi");
|
"when the Cycle parameter is -Pi");
|
Dont_Optimize_New_Float(New_Float_Result, 13);
|
Dont_Optimize_New_Float(New_Float_Result, 13);
|
exception
|
exception
|
when Argument_Error => null; -- OK, expected exception.
|
when Argument_Error => null; -- OK, expected exception.
|
when others =>
|
when others =>
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
Report.Failed("Incorrect exception raised by the Arccot " &
|
"function when provided a -Pi cycle parameter " &
|
"function when provided a -Pi cycle parameter " &
|
"value");
|
"value");
|
end;
|
end;
|
|
|
|
|
-- Check that no exception is raised by the Arccot function with
|
-- Check that no exception is raised by the Arccot function with
|
-- specified Cycle parameter, when provided large and small positive
|
-- specified Cycle parameter, when provided large and small positive
|
-- or negative parameter values for both X and Y input parameters.
|
-- or negative parameter values for both X and Y input parameters.
|
|
|
begin
|
begin
|
Float_Result := EF.Arccot(X => -FXA5A00.Large,
|
Float_Result := EF.Arccot(X => -FXA5A00.Large,
|
Y => -FXA5A00.Large,
|
Y => -FXA5A00.Large,
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
Cycle => 360.0);
|
Cycle => 360.0);
|
Dont_Optimize_Float(Float_Result, 14);
|
Dont_Optimize_Float(Float_Result, 14);
|
exception
|
exception
|
when others =>
|
when others =>
|
Report.Failed("Exception raised when the Arccot function with " &
|
Report.Failed("Exception raised when the Arccot function with " &
|
"specified Cycle parameter, when provided large " &
|
"specified Cycle parameter, when provided large " &
|
"negative X and Y parameter values");
|
"negative X and Y parameter values");
|
end;
|
end;
|
|
|
|
|
begin
|
begin
|
New_Float_Result := GEF.Arccot(New_Float(FXA5A00.Large),
|
New_Float_Result := GEF.Arccot(New_Float(FXA5A00.Large),
|
Y => New_Float(-FXA5A00.Small),
|
Y => New_Float(-FXA5A00.Small),
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
Cycle => 360.0);
|
Cycle => 360.0);
|
Dont_Optimize_New_Float(New_Float_Result, 15);
|
Dont_Optimize_New_Float(New_Float_Result, 15);
|
exception
|
exception
|
when others =>
|
when others =>
|
Report.Failed("Exception raised when the Arccot function with " &
|
Report.Failed("Exception raised when the Arccot function with " &
|
"specified Cycle parameter, when provided large " &
|
"specified Cycle parameter, when provided large " &
|
"positive X parameter value and a small negative " &
|
"positive X parameter value and a small negative " &
|
"Y parameter value");
|
"Y parameter value");
|
end;
|
end;
|
|
|
|
|
begin
|
begin
|
Float_Result := EF.Arccot(X => -FXA5A00.Small,
|
Float_Result := EF.Arccot(X => -FXA5A00.Small,
|
Y => -FXA5A00.Large,
|
Y => -FXA5A00.Large,
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
Cycle => 360.0);
|
Cycle => 360.0);
|
Dont_Optimize_Float(Float_Result, 16);
|
Dont_Optimize_Float(Float_Result, 16);
|
exception
|
exception
|
when others =>
|
when others =>
|
Report.Failed("Exception raised when the Arccot function with " &
|
Report.Failed("Exception raised when the Arccot function with " &
|
"specified Cycle parameter, when provided small " &
|
"specified Cycle parameter, when provided small " &
|
"negative X parameter value and a large negative " &
|
"negative X parameter value and a large negative " &
|
"Y parameter value");
|
"Y parameter value");
|
end;
|
end;
|
|
|
begin
|
begin
|
New_Float_Result := GEF.Arccot(New_Float(FXA5A00.Small),
|
New_Float_Result := GEF.Arccot(New_Float(FXA5A00.Small),
|
New_Float(FXA5A00.Large),
|
New_Float(FXA5A00.Large),
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
--pwb-math Next line: changed 2.0*Pi to 360.0
|
360.0);
|
360.0);
|
Dont_Optimize_New_Float(New_Float_Result, 17);
|
Dont_Optimize_New_Float(New_Float_Result, 17);
|
exception
|
exception
|
when others =>
|
when others =>
|
Report.Failed("Exception raised when the Arccot function with " &
|
Report.Failed("Exception raised when the Arccot function with " &
|
"specified Cycle parameter, when provided a " &
|
"specified Cycle parameter, when provided a " &
|
"small positive X parameter value and a large " &
|
"small positive X parameter value and a large " &
|
"positive Y parameter value");
|
"positive Y parameter value");
|
end;
|
end;
|
|
|
|
|
-- Check that the Arccot function with specified Cycle parameter
|
-- Check that the Arccot function with specified Cycle parameter
|
-- provides correct results when provided a variety of X parameter
|
-- provides correct results when provided a variety of X parameter
|
-- input values.
|
-- input values.
|
|
|
if not FXA5A00.Result_Within_Range(GEF.Arccot( 0.0, Cycle => 360.0),
|
if not FXA5A00.Result_Within_Range(GEF.Arccot( 0.0, Cycle => 360.0),
|
90.0,
|
90.0,
|
0.001) or
|
0.001) or
|
not FXA5A00.Result_Within_Range(EF.Arccot( 0.0, Cycle => 100.0),
|
not FXA5A00.Result_Within_Range(EF.Arccot( 0.0, Cycle => 100.0),
|
25.0,
|
25.0,
|
0.001) or
|
0.001) or
|
not FXA5A00.Result_Within_Range(GEF.Arccot( 1.0, Cycle => 360.0),
|
not FXA5A00.Result_Within_Range(GEF.Arccot( 1.0, Cycle => 360.0),
|
45.0,
|
45.0,
|
0.001) or
|
0.001) or
|
not FXA5A00.Result_Within_Range(EF.Arccot( 1.0, Cycle => 100.0),
|
not FXA5A00.Result_Within_Range(EF.Arccot( 1.0, Cycle => 100.0),
|
12.5,
|
12.5,
|
0.001) or
|
0.001) or
|
not FXA5A00.Result_Within_Range(GEF.Arccot(-1.0, Cycle => 360.0),
|
not FXA5A00.Result_Within_Range(GEF.Arccot(-1.0, Cycle => 360.0),
|
135.0,
|
135.0,
|
0.001) or
|
0.001) or
|
not FXA5A00.Result_Within_Range(EF.Arccot(-1.0, Cycle => 100.0),
|
not FXA5A00.Result_Within_Range(EF.Arccot(-1.0, Cycle => 100.0),
|
37.5,
|
37.5,
|
0.001)
|
0.001)
|
then
|
then
|
Report.Failed("Incorrect results from the Arccot function with " &
|
Report.Failed("Incorrect results from the Arccot function with " &
|
"specified Cycle parameter when provided a variety " &
|
"specified Cycle parameter when provided a variety " &
|
"of X parameter values");
|
"of X parameter values");
|
end if;
|
end if;
|
|
|
|
|
if not FXA5A00.Result_Within_Range(EF.Arccot(0.2425355, 0.9701420),
|
if not FXA5A00.Result_Within_Range(EF.Arccot(0.2425355, 0.9701420),
|
EF.Arccot(0.25),
|
EF.Arccot(0.25),
|
0.01) or
|
0.01) or
|
not FXA5A00.Result_Within_Range(EF.Arccot(0.3162277, 0.9486831),
|
not FXA5A00.Result_Within_Range(EF.Arccot(0.3162277, 0.9486831),
|
Ef.Arccot(0.33),
|
Ef.Arccot(0.33),
|
0.01)
|
0.01)
|
then
|
then
|
Report.Failed("Incorrect results from the Arccot function with " &
|
Report.Failed("Incorrect results from the Arccot function with " &
|
"comparison to other Arccot function results");
|
"comparison to other Arccot function results");
|
end if;
|
end if;
|
|
|
|
|
if not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.4472135,
|
if not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.4472135,
|
0.8944270)),
|
0.8944270)),
|
0.5,
|
0.5,
|
0.01) or
|
0.01) or
|
not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.9987380,
|
not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(0.9987380,
|
0.0499369)),
|
0.0499369)),
|
20.0,
|
20.0,
|
0.1)
|
0.1)
|
then
|
then
|
Report.Failed("Incorrect results from the Arccot function when " &
|
Report.Failed("Incorrect results from the Arccot function when " &
|
"used as argument to Cot function");
|
"used as argument to Cot function");
|
end if;
|
end if;
|
|
|
|
|
-- Check that inverse function results are correct.
|
-- Check that inverse function results are correct.
|
-- Default Cycle test.
|
-- Default Cycle test.
|
|
|
Angle := 0.001;
|
Angle := 0.001;
|
while Angle < Pi and not Incorrect_Inverse loop
|
while Angle < Pi and not Incorrect_Inverse loop
|
if not Result_Within_Range(EF.Arccot(EF.Cot(Angle)), Angle, 0.001)
|
if not Result_Within_Range(EF.Arccot(EF.Cot(Angle)), Angle, 0.001)
|
then
|
then
|
Incorrect_Inverse := True;
|
Incorrect_Inverse := True;
|
end if;
|
end if;
|
Angle := Angle + 0.001;
|
Angle := Angle + 0.001;
|
end loop;
|
end loop;
|
|
|
if Incorrect_Inverse then
|
if Incorrect_Inverse then
|
Report.Failed("Incorrect results returned from the Inverse " &
|
Report.Failed("Incorrect results returned from the Inverse " &
|
"comparison of Cot and Arccot using the default " &
|
"comparison of Cot and Arccot using the default " &
|
"cycle value");
|
"cycle value");
|
Incorrect_Inverse := False;
|
Incorrect_Inverse := False;
|
end if;
|
end if;
|
|
|
-- Non-Default Cycle test.
|
-- Non-Default Cycle test.
|
|
|
New_Float_Angle := 0.01;
|
New_Float_Angle := 0.01;
|
while New_Float_Angle < 180.0 and not Incorrect_Inverse loop
|
while New_Float_Angle < 180.0 and not Incorrect_Inverse loop
|
if not Result_Within_Range(EF.Arccot(EF.Cot(Float(New_Float_Angle),
|
if not Result_Within_Range(EF.Arccot(EF.Cot(Float(New_Float_Angle),
|
Cycle => 360.0),
|
Cycle => 360.0),
|
Cycle => 360.0),
|
Cycle => 360.0),
|
Float(New_Float_Angle),
|
Float(New_Float_Angle),
|
0.01) or
|
0.01) or
|
not Result_Within_Range(GEF.Arccot(
|
not Result_Within_Range(GEF.Arccot(
|
New_Float(GEF.Cot(New_Float_Angle,
|
New_Float(GEF.Cot(New_Float_Angle,
|
Cycle => 360.0)),
|
Cycle => 360.0)),
|
Cycle => 360.0),
|
Cycle => 360.0),
|
Float(New_Float_Angle),
|
Float(New_Float_Angle),
|
0.01)
|
0.01)
|
then
|
then
|
Incorrect_Inverse := True;
|
Incorrect_Inverse := True;
|
end if;
|
end if;
|
New_Float_Angle := New_Float_Angle + 0.01;
|
New_Float_Angle := New_Float_Angle + 0.01;
|
end loop;
|
end loop;
|
|
|
if Incorrect_Inverse then
|
if Incorrect_Inverse then
|
Report.Failed("Incorrect results returned from the Inverse " &
|
Report.Failed("Incorrect results returned from the Inverse " &
|
"comparison of Cot and Arccot using non-default " &
|
"comparison of Cot and Arccot using non-default " &
|
"cycle value");
|
"cycle value");
|
end if;
|
end if;
|
|
|
|
|
exception
|
exception
|
when The_Error : others =>
|
when The_Error : others =>
|
Report.Failed ("The following exception was raised in the " &
|
Report.Failed ("The following exception was raised in the " &
|
"Test_Block: " & Exception_Name(The_Error));
|
"Test_Block: " & Exception_Name(The_Error));
|
end Test_Block;
|
end Test_Block;
|
|
|
Report.Result;
|
Report.Result;
|
|
|
end CXA5A08;
|
end CXA5A08;
|
|
|