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+-- CXA5A04.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 Cot, Coth, and Arccoth provide correct
+-- results.
+--
+-- TEST DESCRIPTION:
+-- This test examines both the version of Cot, Coth, and Arccoth
+-- 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)
+-- CXA5A04.A
+--
+--
+-- CHANGE HISTORY:
+-- 15 Mar 95 SAIC Initial prerelease version.
+-- 07 Apr 95 SAIC Corrected errors in context clause reference,
+-- added trigonometric relationship checks.
+-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
+-- use of Result_Within_Range function overloaded for
+-- FXA5A00.New_Float_Type.
+-- 18 Apr 96 SAIC Incorporated reviewer comments for ACVC 2.1.
+-- 28 Feb 97 PWB.CTA Removed checks with explicit Cycle => 2.0*Pi
+-- 29 Jun 98 EDS Protected exception tests by first testing
+-- for 'Machine_Overflows
+--
+-- 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.Exceptions;
+with Ada.Numerics.Elementary_Functions;
+with Ada.Numerics.Generic_Elementary_Functions;
+with FXA5A00;
+with Report;
+
+procedure CXA5A04 is
+begin
+
+ Report.Test ("CXA5A04", "Check that the functions Cot, Coth, and " &
+ "Arccoth provide correct results");
+
+ Test_Block:
+ declare
+
+ use Ada.Exceptions;
+ 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 Cot Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that Constraint_Error is raised with the Cot function is
+ -- given a parameter input value of 0.0.
+
+ if New_Float'Machine_Overflows = True then
+ begin
+ New_Float_Result := GEF.Cot (0.0);
+ Report.Failed("Constraint_Error not raised by Function Cot " &
+ "when provided a zero input parameter value");
+ Dont_Optimize_New_Float(New_Float_Result, 1);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Function Cot " &
+ "when provided a zero input parameter value");
+ end;
+ end if;
+
+ -- Check that no exception occurs on computing the Cot with very
+ -- large (positive and negative) input values.
+
+ begin
+ New_Float_Result := GEF.Cot (New_Float(FXA5A00.Large));
+ Dont_Optimize_New_Float(New_Float_Result, 2);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on GEF.Cot with large " &
+ "positive value");
+ end;
+
+ begin
+ The_Result := EF.Cot (FXA5A00.Minus_Large);
+ Dont_Optimize_Float(The_Result, 3);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on EF.Cot with large " &
+ "negative value");
+ end;
+
+
+ -- Check the results of the Cot function with various input parameters.
+
+ if not (FXA5A00.Result_Within_Range(GEF.Cot(Pi/4.0), 1.0, 0.001) and
+ FXA5A00.Result_Within_Range( EF.Cot(Pi/2.0), 0.0, 0.001) and
+ FXA5A00.Result_Within_Range(GEF.Cot(3.0*Pi/4.0),-1.0, 0.001) and
+ FXA5A00.Result_Within_Range( EF.Cot(3.0*Pi/2.0), 0.0, 0.001))
+ then
+ Report.Failed("Incorrect result from Cot function with various " &
+ "input parameters");
+ end if;
+
+
+ -- Check the results of the Cot function against the results of
+ -- various trigonometric relationships.
+
+ if not FXA5A00.Result_Within_Range(GEF.Cot(New_Float(Pi/4.0)),
+ 1.0/EF.Tan(Pi/4.0),
+ 0.001) or
+ not FXA5A00.Result_Within_Range(EF.Cot(Pi/4.0),
+ EF.Cos(Pi/4.0)/EF.Sin(Pi/4.0),
+ 0.001) or
+ not FXA5A00.Result_Within_Range(EF.Cot(EF.Arccot(Pi/4.0)),
+ Pi/4.0,
+ 0.001)
+ then
+ Report.Failed("Incorrect result from Cot function with respect " &
+ "to various trigonometric relationship expected " &
+ "results");
+ end if;
+
+
+ -- Testing of Cot with Cycle parameter.
+
+ -- Check that Argument_Error is raised by the Cot function when the
+ -- value of the Cycle parameter is zero or negative.
+
+ begin
+ New_Float_Result := GEF.Cot (1.0, Cycle => 0.0);
+ Report.Failed("Argument_Error not raised by the Cot Function " &
+ "with a specified cycle value of 0.0");
+ Dont_Optimize_New_Float(New_Float_Result, 4);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed
+ ("Unexpected exception raised by the Cot Function with " &
+ "a specified cycle value of 0.0");
+ end;
+
+ begin
+ The_Result := EF.Cot (X => 1.0, Cycle => -360.0);
+ Report.Failed("Argument_Error not raised by the Cot Function " &
+ "with a specified cycle value of -360.0");
+ Dont_Optimize_Float(The_Result, 5);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed
+ ("Unexpected exception raised by the Cot Function with " &
+ "a specified cycle value of -360.0");
+ end;
+
+
+ -- Check that Constraint_Error is raised by the Cot Function with
+ -- specified cycle, when the value of the parameter X is 0.0.
+
+ if New_Float'Machine_Overflows = True then
+ begin
+ New_Float_Result := GEF.Cot (0.0, 360.0);
+ Report.Failed("Constraint_Error not raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is 0.0");
+ Dont_Optimize_New_Float(New_Float_Result, 6);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is 0.0");
+ end;
+ end if;
+
+ -- Check that Constraint_Error is raised by the Cot Function with
+ -- specified cycle, when the value of the parameter X is a multiple
+ -- of the half cycle.
+
+ if New_Float'Machine_Overflows = True then
+ begin
+ New_Float_Result := GEF.Cot (180.0, 360.0);
+ Report.Failed("Constraint_Error not raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is a multiple of the half cycle (180.0, 360.0)");
+ Dont_Optimize_New_Float(New_Float_Result, 7);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is a multiple of the half cycle" &
+ " (180.0, 360.0)");
+ end;
+ end if;
+
+ if Float'Machine_Overflows = True then
+ begin
+ The_Result := EF.Cot (540.0, 360.0);
+ Report.Failed("Constraint_Error not raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is a multiple of the half cycle (540.0, 360.0)");
+ Dont_Optimize_Float(The_Result, 8);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by Function Cot " &
+ "with specified cycle, when value of parameter " &
+ "X is a multiple of the half cycle (540.0, 360.0)");
+ end;
+ end if;
+
+--pwb-math -- Check that no exception occurs on computing the Cot with very
+--pwb-math -- large (positive and negative) input values.
+--pwb-math
+--pwb-math begin
+--pwb-math New_Float_Result := GEF.Cot (New_Float(FXA5A00.Large), 2.0*Pi);
+--pwb-math Dont_Optimize_New_Float(New_Float_Result, 9);
+--pwb-math exception
+--pwb-math when others =>
+--pwb-math Report.Failed("Unexpected exception on GEF.Cot with large " &
+--pwb-math "positive value");
+--pwb-math end;
+--pwb-math
+--pwb-math begin
+--pwb-math The_Result := EF.Cot (FXA5A00.Minus_Large, Cycle => 2.0*Pi);
+--pwb-math Dont_Optimize_Float(The_Result, 10);
+--pwb-math exception
+--pwb-math when others =>
+--pwb-math Report.Failed("Unexpected exception on EF.Cot with large " &
+--pwb-math "negative value");
+--pwb-math end;
+--pwb-math
+--pwb-math
+--pwb-math -- Check prescribed result from Cot function with Cycle parameter.
+--pwb-math
+--pwb-math if not FXA5A00.Result_Within_Range
+--pwb-math (GEF.Cot(New_Float(FXA5A00.Half_Pi), 2.0*Pi), 0.0, 0.001) or
+--pwb-math not FXA5A00.Result_Within_Range
+--pwb-math (EF.Cot(3.0*Pi/2.0, Cycle => 2.0*Pi), 0.0, 0.001)
+--pwb-math then
+--pwb-math Report.Failed("Incorrect result from Cot function with cycle " &
+--pwb-math "parameter, using a multiple of Pi/2 as the " &
+--pwb-math "input parameter");
+--pwb-math end if;
+
+
+ -- Testing of Coth Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that no exception occurs on computing the Coth with very
+ -- large (positive and negative) input values.
+
+ begin
+ The_Result := EF.Coth (FXA5A00.Large);
+ if The_Result > 1.0 then
+ Report.Failed("Result of Coth function with large positive " &
+ "value greater than 1.0");
+ end if;
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on EF.Coth with large " &
+ "positive value");
+ end;
+
+ begin
+ The_Result := EF.Coth (FXA5A00.Minus_Large);
+ if The_Result < -1.0 then
+ Report.Failed("Result of Coth function with large negative " &
+ "value less than -1.0");
+ end if;
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on EF.Coth with large " &
+ "negative value");
+ end;
+
+
+ -- Check that Constraint_Error is raised by the Coth function, when
+ -- the value of the parameter X is 0.0.
+
+ if New_Float'Machine_Overflows = True then
+ begin
+ New_Float_Result := GEF.Coth (X => 0.0);
+ Report.Failed("Constraint_Error not raised by the Coth function " &
+ "when the value of parameter X is 0.0");
+ Dont_Optimize_New_Float(New_Float_Result, 11);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Coth " &
+ "function when the value of parameter X is 0.0");
+ end;
+ end if;
+
+
+ -- Testing of Arccoth Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that Constraint_Error is raised by the Arccoth function
+ -- when the absolute value of the parameter X is 1.0.
+
+ if New_Float'Machine_Overflows = True then
+ begin
+ New_Float_Result := GEF.Arccoth (X => 1.0);
+ Report.Failed("Constraint_Error not raised by the Arccoth " &
+ "function when the value of parameter X is 1.0");
+ Dont_Optimize_New_Float(New_Float_Result, 12);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccoth " &
+ "function when the value of parameter X is 1.0");
+ end;
+ end if;
+
+ if Float'Machine_Overflows = True then
+ begin
+ The_Result := EF.Arccoth (-1.0);
+ Report.Failed("Constraint_Error not raised by the Arccoth " &
+ "function when the value of parameter X is -1.0");
+ Dont_Optimize_Float(The_Result, 13);
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccoth " &
+ "function when the value of parameter X is -1.0");
+ end;
+ end if;
+
+ -- Check that Argument_Error is raised by the Arccoth function when
+ -- the absolute value of the parameter X is less than 1.0.
+
+ begin
+ New_Float_Result := GEF.Arccoth (X => New_Float(One_Minus_Delta));
+ Report.Failed("Argument_Error not raised by the Arccoth " &
+ "function with parameter value less than 1.0");
+ Dont_Optimize_New_Float(New_Float_Result, 14);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccoth " &
+ "function with parameter value less than 1.0");
+ end;
+
+ begin
+ The_Result := EF.Arccoth (X => FXA5A00.Minus_One_Plus_Delta);
+ Report.Failed("Argument_Error not raised by the Arccoth function " &
+ "with parameter value between 0.0 and -1.0");
+ Dont_Optimize_Float(The_Result, 15);
+ exception
+ when Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by the Arccoth " &
+ "function with parameter value between 0.0 " &
+ "and -1.0");
+ end;
+
+
+ -- Check the results of the Arccoth function with various input
+ -- parameters.
+
+ if not (Result_Within_Range(GEF.Arccoth(1.01), 2.652, 0.01) and
+ Result_Within_Range( EF.Arccoth(1.25), 1.099, 0.01) and
+ Result_Within_Range(GEF.Arccoth(1.56), 0.760, 0.001) and
+ Result_Within_Range( EF.Arccoth(1.97), 0.560, 0.001) and
+ Result_Within_Range(GEF.Arccoth(2.40), 0.444, 0.001) and
+ Result_Within_Range( EF.Arccoth(4.30), 0.237, 0.001) and
+ Result_Within_Range(GEF.Arccoth(5.80), 0.174, 0.001) and
+ Result_Within_Range( EF.Arccoth(7.00), 0.144, 0.001))
+ then
+ Report.Failed("Incorrect result from Arccoth function with various " &
+ "input parameters");
+ end if;
+
+
+ exception
+ when The_Error : others =>
+ Report.Failed ("The following exception was raised in the " &
+ "Test_Block: " & Exception_Name(The_Error));
+ end Test_Block;
+
+ Report.Result;
+
+end CXA5A04;
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