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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
commit554fd8c5195424bdbcabf5de30fdc183aba391bd (patch)
tree976dc5ab7fddf506dadce60ae936f43f58787092 /gcc/testsuite/ada/acats/tests/cxa/cxa5a07.a
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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;