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authorupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
committerupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
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+-- CXA5A06.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 functions Arccos and Arccosh provide correct
+-- results.
+--
+-- TEST DESCRIPTION:
+-- This test examines both the version of Arccos and Arccosh
+-- 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)
+-- CXA5A06.A
+--
+--
+-- CHANGE HISTORY:
+-- 27 Mar 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 CXA5A06 is
+begin
+
+ Report.Test ("CXA5A06", "Check that the functions Arccos and Arccosh " &
+ "provide 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;
+
+ The_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 Arccos Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that Argument_Error is raised by the Arccos function when the
+ -- absolute value of the input parameter is greater than 1.0.
+
+ begin
+ New_Float_Result := GEF.Arccos(New_Float(FXA5A00.One_Plus_Delta));
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "when the input parameter is greater than 1.0");
+ Dont_Optimize_New_Float(New_Float_Result, 1);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function when the input parameter is greater " &
+ "than 1.0");
+ end;
+
+ begin
+ The_Result := EF.Arccos(-FXA5A00.Large);
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "when the input parameter is a large negative value");
+ Dont_Optimize_Float(The_Result, 2);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function when the input parameter is a " &
+ "large negative value");
+ end;
+
+
+ -- Check the prescribed results of the Arccos function.
+
+ if GEF.Arccos(X => 1.0) /= 0.0 or
+ EF.Arccos(1.0) /= 0.0
+ then
+ Report.Failed("Incorrect result returned by the Arccos function " &
+ "when provided a parameter value of 0.0");
+ end if;
+
+
+ -- Check the results of the Arccos function with various input
+ -- parameters.
+
+ if not Result_Within_Range(GEF.Arccos(0.77), 0.692, 0.001) or
+ not Result_Within_Range( EF.Arccos(0.37), 1.19, 0.01) or
+ not Result_Within_Range(GEF.Arccos(0.0), Pi/2.0, 0.01) or
+ not Result_Within_Range( EF.Arccos(-0.11), 1.68, 0.01) or
+ not Result_Within_Range(GEF.Arccos(-0.67), 2.31, 0.01) or
+ not Result_Within_Range( EF.Arccos(-0.94), 2.79, 0.01) or
+ not Result_Within_Range(GEF.Arccos(-1.0), Pi, 0.01)
+ then
+ Report.Failed("Incorrect result returned from the Arccos " &
+ "function when provided a variety of input " &
+ "parameters");
+ end if;
+
+
+ -- Testing of the Arccos function with specified Cycle parameter.
+
+ -- Check that Argument_Error is raised by the Arccos function, with
+ -- specified Cycle parameter, when the absolute value of the input
+ -- parameter is greater than 1.0.
+
+ begin
+--pwb-math: Next line: Changed 2.0*Pi to 360.0
+ New_Float_Result := GEF.Arccos(New_Float(Large), Cycle => 360.0);
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "with specified Cycle parameter, when the input " &
+ "parameter is a large positive value");
+ Dont_Optimize_New_Float(New_Float_Result, 3);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function with specified Cycle parameter, when " &
+ "the input parameter is a large positive value");
+ end;
+
+ begin
+--pwb-math: Next line: Changed 2.0*Pi to 360.0
+ The_Result := EF.Arccos(FXA5A00.Minus_One_Minus_Delta, 360.0);
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "with specified Cycle parameter, when the input " &
+ "parameter is less than -1.0");
+ Dont_Optimize_Float(The_Result, 4);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function with specified Cycle parameter, " &
+ "when the input parameter is less than -1.0");
+ end;
+
+
+ -- Check that Argument_Error is raised by the Arccos function with
+ -- specified cycle when the value of the Cycle parameter is zero or
+ -- negative.
+
+ begin
+ New_Float_Result := GEF.Arccos(X => 1.0, Cycle => 0.0 );
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "with specified Cycle parameter, when the Cycle " &
+ "parameter is 0.0");
+ Dont_Optimize_New_Float(New_Float_Result, 5);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function with specified Cycle parameter, when " &
+ "the Cycle parameter is 0.0");
+ end;
+
+ begin
+ The_Result := EF.Arccos(1.0, Cycle => -2.0*Pi);
+ Report.Failed("Argument_Error not raised by the Arccos function " &
+ "with specified Cycle parameter, when the Cycle " &
+ "parameter is negative");
+ Dont_Optimize_Float(The_Result, 6);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccos " &
+ "function with specified Cycle parameter, when " &
+ "the Cycle parameter is negative");
+ end;
+
+
+ -- Check the prescribed result of the Arccos function with specified
+ -- Cycle parameter.
+
+--pwb-math: Next two lines: Changed 2.0*Pi to 360.0
+ if GEF.Arccos(X => 1.0, Cycle => 360.0) /= 0.0 or
+ EF.Arccos(1.0, 360.0) /= 0.0
+ then
+ Report.Failed("Incorrect result from the Arccos function with " &
+ "specified Cycle parameter, when the input " &
+ "parameter value is 1.0");
+ end if;
+
+
+ -- Check the results of the Arccos function, with specified Cycle
+ -- parameter, with various input parameters.
+
+ if --pwb-math not Result_Within_Range(GEF.Arccos( 0.04, 2.0*Pi), 1.53, 0.01) or
+--pwb-math not Result_Within_Range( EF.Arccos( 0.14, 2.0*Pi), 1.43, 0.01) or
+--pwb-math not Result_Within_Range(GEF.Arccos( 0.57, 2.0*Pi), 0.96, 0.01) or
+--pwb-math not Result_Within_Range( EF.Arccos( 0.99, 2.0*Pi), 0.14, 0.01) or
+ not Result_Within_Range(GEF.Arccos(-1.0, 360.0), 180.0, 0.1) or
+ not Result_Within_Range(GEF.Arccos(-1.0, 100.0), 50.0, 0.1) or
+ not Result_Within_Range(GEF.Arccos( 0.0, 360.0), 90.0, 0.1) or
+ not Result_Within_Range(GEF.Arccos( 0.0, 100.0), 25.0, 0.1)
+ then
+ Report.Failed("Incorrect result returned from the Arccos " &
+ "function with specified Cycle parameter, " &
+ "when provided a variety of input parameters");
+ end if;
+
+
+
+ -- Testing of Arccosh Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that Argument_Error is raised by the Arccosh function when
+ -- the value of the parameter X is less than 1.0.
+
+ begin
+ New_Float_Result := GEF.Arccosh(New_Float(FXA5A00.One_Minus_Delta));
+ Report.Failed("Argument_Error not raised by the Arccosh function " &
+ "when the parameter value is less than 1.0");
+ Dont_Optimize_New_Float(New_Float_Result, 7);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccosh " &
+ "function when given a parameter value less " &
+ "than 1.0");
+ end;
+
+ begin
+ The_Result := EF.Arccosh(0.0);
+ Report.Failed("Argument_Error not raised by the Arccosh function " &
+ "when the parameter value is 0.0");
+ Dont_Optimize_Float(The_Result, 8);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccosh " &
+ "function when given a parameter value of 0.0");
+ end;
+
+ begin
+ New_Float_Result := GEF.Arccosh(New_Float(-FXA5A00.Large));
+ Report.Failed("Argument_Error not raised by the Arccosh function " &
+ "when the large negative parameter value");
+ Dont_Optimize_New_Float(New_Float_Result, 9);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccosh " &
+ "function when given a large negative parameter " &
+ "value");
+ end;
+
+
+ -- Check the prescribed results of the Arccosh function.
+
+ if GEF.Arccosh(X => 1.0) /= 0.0 or
+ EF.Arccosh(1.0) /= 0.0
+ then
+ Report.Failed("Incorrect result returned by the Arccosh " &
+ "function when provided a parameter value of 0.0");
+ end if;
+
+
+ -- Check the results of the Arccosh function with various input
+ -- parameters.
+
+ if not Result_Within_Range(GEF.Arccosh(1.03), 0.244, 0.001) or
+ not Result_Within_Range( EF.Arccosh(1.28), 0.732, 0.001) or
+ not Result_Within_Range(GEF.Arccosh(1.50), 0.962, 0.001) or
+ not Result_Within_Range( EF.Arccosh(1.77), 1.17, 0.01) or
+ not Result_Within_Range(GEF.Arccosh(2.00), 1.32, 0.01) or
+ not Result_Within_Range( EF.Arccosh(4.30), 2.14, 0.01) or
+ not Result_Within_Range(GEF.Arccosh(6.90), 2.62, 0.01)
+ then
+ Report.Failed("Incorrect result returned from the Arccosh " &
+ "function when provided a variety of input " &
+ "parameters");
+ end if;
+
+
+ exception
+ when others => Report.Failed ("Exception raised in Test_Block");
+ end Test_Block;
+
+ Report.Result;
+
+end CXA5A06;