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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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+-- CXA5A05.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 Arcsin and Arcsinh provide correct
+-- results.
+--
+-- TEST DESCRIPTION:
+-- This test examines both the version of Arcsin and Arcsinh
+-- 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)
+-- CXA5A05.A
+--
+--
+-- CHANGE HISTORY:
+-- 20 Mar 95 SAIC Initial prerelease version.
+-- 06 Apr 95 SAIC Corrected errors in context clause reference and
+-- use of Cycle parameter.
+-- 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 explict 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 CXA5A05 is
+begin
+
+ Report.Test ("CXA5A05", "Check that the functions Arcsin and Arcsinh " &
+ "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 Function Arcsin, both instantiated and pre-instantiated
+ -- versions.
+
+ -- Check that Argument_Error is raised by the Arcsin function when
+ -- the absolute value of the parameter X is greater than 1.0.
+
+ begin
+ New_Float_Result := GEF.Arcsin(New_Float(FXA5A00.One_Plus_Delta));
+ Report.Failed("Argument_Error not raised by Arcsin function " &
+ "when provided a parameter value larger 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 Arcsin function " &
+ "when provided a parameter value larger than 1.0");
+ end;
+
+ begin
+ The_Result := EF.Arcsin(FXA5A00.Minus_Large);
+ Report.Failed("Argument_Error not raised by Arcsin function " &
+ "when provided a large negative parameter value");
+ Dont_Optimize_Float(The_Result, 2);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Arcsin function " &
+ "when provided a large negative parameter value");
+ end;
+
+
+ -- Check the prescribed result of function Arcsin with parameter 0.0.
+
+ if GEF.Arcsin(X => 0.0) /= 0.0 or
+ EF.Arcsin(0.0) /= 0.0
+ then
+ Report.Failed("Incorrect result from Function Arcsin when the " &
+ "value of the parameter X is 0.0");
+ end if;
+
+
+ -- Check the results of the Arcsin function with various input
+ -- parameters.
+
+ if not Result_Within_Range(GEF.Arcsin(1.0), 1.571, 0.001) or
+ not Result_Within_Range( EF.Arcsin(0.62), 0.669, 0.001) or
+ not Result_Within_Range(GEF.Arcsin(0.01), 0.010, 0.001) or
+ not Result_Within_Range( EF.Arcsin(-0.29), -0.294, 0.001) or
+ not Result_Within_Range(GEF.Arcsin(-0.50), -0.524, 0.001) or
+ not Result_Within_Range( EF.Arcsin(-1.0), -1.571, 0.001)
+ then
+ Report.Failed("Incorrect result from Function Arcsin with " &
+ "various input parameters");
+ end if;
+
+
+ -- Testing of Function Arcsin with specified Cycle parameter.
+
+--pwb-math -- Check that Argument_Error is raised by the Arcsin function with
+--pwb-math -- specified cycle, whenever the absolute value of the parameter X
+--pwb-math -- is greater than 1.0.
+--pwb-math
+--pwb-math begin
+--pwb-math New_Float_Result := GEF.Arcsin(New_Float(FXA5A00.Large), 2.0*Pi);
+--pwb-math Report.Failed("Argument_Error not raised by Function Arcsin " &
+--pwb-math "with specified cycle, when provided a large " &
+--pwb-math "positive input parameter");
+--pwb-math Dont_Optimize_New_Float(New_Float_Result, 3);
+--pwb-math exception
+--pwb-math when Argument_Error => null; -- OK, expected exception.
+--pwb-math when others =>
+--pwb-math Report.Failed("Unexpected exception raised by Function Arcsin " &
+--pwb-math "with specified cycle, when provided a large " &
+--pwb-math "positive input parameter");
+--pwb-math end;
+--pwb-math
+--pwb-math begin
+--pwb-math The_Result := EF.Arcsin(FXA5A00.Minus_One_Minus_Delta, 2.0*Pi);
+--pwb-math Report.Failed("Argument_Error not raised by Function Arcsin " &
+--pwb-math "with specified cycle, when provided an input " &
+--pwb-math "parameter less than -1.0");
+--pwb-math Dont_Optimize_Float(The_Result, 4);
+--pwb-math exception
+--pwb-math when Argument_Error => null; -- OK, expected exception.
+--pwb-math when others =>
+--pwb-math Report.Failed("Unexpected exception raised by Function Arcsin " &
+--pwb-math "with specified cycle, when provided an input " &
+--pwb-math "parameter less than -1.0");
+--pwb-math end;
+--pwb-math
+ -- Check that Argument_Error is raised by the Arcsin function with
+ -- specified cycle, whenever the Cycle parameter is zero or negative.
+
+ begin
+ New_Float_Result := GEF.Arcsin(2.0, 0.0);
+ Report.Failed("Argument_Error not raised by Function Arcsin " &
+ "with specified cycle of 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 Function Arcsin " &
+ "with specified cycle of 0.0");
+ end;
+
+ begin
+ The_Result := EF.Arcsin(2.0, -2.0*Pi);
+ Report.Failed("Argument_Error not raised by Function Arcsin " &
+ "with specified negative cycle parameter");
+ Dont_Optimize_Float(The_Result, 6);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Function Arcsin " &
+ "with specified negative cycle parameter");
+ end;
+
+
+--pwb-math -- Check the prescribed result of function Arcsin with specified Cycle
+--pwb-math -- parameter, when the value of parameter X is 0.0.
+--pwb-math
+--pwb-math if GEF.Arcsin(X => 0.0, Cycle => 2.0*Pi) /= 0.0 or
+--pwb-math EF.Arcsin(0.0, 2.0*Pi) /= 0.0
+--pwb-math then
+--pwb-math Report.Failed("Incorrect result from Function Arcsin with " &
+--pwb-math "specified Cycle parameter, when the value " &
+--pwb-math "of parameter X is 0.0");
+--pwb-math end if;
+--pwb-math
+--pwb-math
+--pwb-math -- Test of the Arcsin function with specified Cycle parameter with
+--pwb-math -- various input parameters.
+--pwb-math
+--pwb-math if not FXA5A00.Result_Within_Range(GEF.Arcsin( 0.01, 2.0*Pi),
+--pwb-math 0.010,
+--pwb-math 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin( 0.14, 2.0*Pi),
+--pwb-math 0.141,
+--pwb-math 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range(GEF.Arcsin( 0.37, 2.0*Pi),
+--pwb-math 0.379,
+--pwb-math 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin( 0.55, 2.0*Pi),
+--pwb-math 0.582,
+--pwb-math 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range(GEF.Arcsin(-0.22, 2.0*Pi),
+--pwb-math -0.222,
+--pwb-math 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(-0.99, 2.0*Pi),
+--pwb-math -1.43,
+--pwb-math 0.01) or
+--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(1.0, 360.0),
+--pwb-math 90.0,
+--pwb-math 0.1) or
+--pwb-math not FXA5A00.Result_Within_Range( EF.Arcsin(1.0, 100.0),
+--pwb-math 25.0,
+--pwb-math 0.1)
+--pwb-math then
+--pwb-math Report.Failed("Incorrect result from Arcsin with specified " &
+--pwb-math "cycle parameter with various input parameters");
+--pwb-math end if;
+
+ -- Testing of Arcsinh Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that no exception occurs on computing the Arcsinh with very
+ -- large (positive and negative) input values.
+
+ begin
+ New_Float_Result := GEF.Arcsinh(New_Float(FXA5A00.Large));
+ Dont_Optimize_New_Float(New_Float_Result, 7);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on Arcsinh with large " &
+ "positive value");
+ end;
+
+ begin
+ The_Result := EF.Arcsinh(FXA5A00.Minus_Large);
+ Dont_Optimize_Float(The_Result, 8);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on Arcsinh with large " &
+ "negative value");
+ end;
+
+
+ -- Check that no exception occurs on computing the Arcsinh with very
+ -- small (positive and negative) input values.
+
+ begin
+ New_Float_Result := GEF.Arcsinh(New_Float(FXA5A00.Small));
+ Dont_Optimize_New_Float(New_Float_Result, 9);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on Arcsinh with small " &
+ "positive value");
+ end;
+
+ begin
+ The_Result := EF.Arcsinh(-FXA5A00.Small);
+ Dont_Optimize_Float(The_Result, 10);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on Arcsinh with small " &
+ "negative value");
+ end;
+
+
+ -- Check function Arcsinh for prescribed result with parameter 0.0.
+
+ if GEF.Arcsinh(X => 0.0) /= 0.0 or
+ EF.Arcsinh(X => 0.0) /= 0.0
+ then
+ Report.Failed("Incorrect result from Function Arcsinh when " &
+ "provided a 0.0 input parameter");
+ end if;
+
+
+ -- Check the results of the Arcsinh function with various input
+ -- parameters.
+
+ if not Result_Within_Range(GEF.Arcsinh(0.15), 0.149, 0.001) or
+ not Result_Within_Range( EF.Arcsinh(0.82), 0.748, 0.001) or
+ not Result_Within_Range(GEF.Arcsinh(1.44), 1.161, 0.001) or
+ not Result_Within_Range(GEF.Arcsinh(6.70), 2.601, 0.001) or
+ not Result_Within_Range( EF.Arcsinh(Pi), 1.862, 0.001) or
+ not Result_Within_Range( EF.Arcsinh(-Pi), -1.862, 0.001) or
+ not Result_Within_Range(GEF.Arcsinh(-1.0), -0.881, 0.001) or
+ not Result_Within_Range( EF.Arcsinh(-5.5), -2.406, 0.001)
+ then
+ Report.Failed("Incorrect result from Function Arcsin with " &
+ "various input parameters");
+ end if;
+
+
+ exception
+ when others => Report.Failed ("Exception raised in Test_Block");
+ end Test_Block;
+
+ Report.Result;
+
+end CXA5A05;