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+-- CXG1005.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 subprograms defined in the package
+-- Ada.Numerics.Generic_Complex_Elementary_Functions provide correct
+-- results.
+--
+-- TEST DESCRIPTION:
+-- This test checks that specific subprograms defined in the generic
+-- package Generic_Complex_Elementary_Functions are available, and that
+-- they provide prescribed results given specific input values.
+-- The generic package Ada.Numerics.Generic_Complex_Types is instantiated
+-- with a real type (new Float). The resulting new package is used as
+-- the generic actual to package Complex_IO.
+--
+-- SPECIAL REQUIREMENTS:
+-- Implementations for which Float'Signed_Zeros is True must provide
+-- a body for ImpDef.Annex_G.Negative_Zero which returns a negative
+-- zero.
+--
+-- APPLICABILITY CRITERIA
+-- This test only applies to implementations that support the
+-- numerics annex.
+--
+--
+--
+-- CHANGE HISTORY:
+-- 06 Dec 94 SAIC ACVC 2.0
+-- 16 Nov 95 SAIC Corrected visibility problems for ACVC 2.0.1.
+-- 21 Feb 96 SAIC Incorporated new structure for package Impdef.
+-- 29 Sep 96 SAIC Incorporated reviewer comments.
+--
+--!
+
+with Ada.Numerics.Generic_Complex_Types;
+with Ada.Numerics.Generic_Complex_Elementary_Functions;
+with ImpDef.Annex_G;
+with Report;
+
+procedure CXG1005 is
+begin
+
+ Report.Test ("CXG1005", "Check that the subprograms defined in " &
+ "the package Generic_Complex_Elementary_" &
+ "Functions provide correct results");
+
+ Test_Block:
+ declare
+
+ type Real_Type is new Float;
+
+ TC_Signed_Zeros : Boolean := Real_Type'Signed_Zeros;
+
+ package Complex_Pack is new
+ Ada.Numerics.Generic_Complex_Types(Real_Type);
+
+ package CEF is
+ new Ada.Numerics.Generic_Complex_Elementary_Functions(Complex_Pack);
+
+ use Ada.Numerics, Complex_Pack, CEF;
+
+ Complex_Zero : constant Complex := Compose_From_Cartesian( 0.0, 0.0);
+ Plus_One : constant Complex := Compose_From_Cartesian( 1.0, 0.0);
+ Minus_One : constant Complex := Compose_From_Cartesian(-1.0, 0.0);
+ Plus_i : constant Complex := Compose_From_Cartesian(i);
+ Minus_i : constant Complex := Compose_From_Cartesian(-i);
+
+ Complex_Positive_Real : constant Complex :=
+ Compose_From_Cartesian(4.0, 2.0);
+ Complex_Positive_Imaginary : constant Complex :=
+ Compose_From_Cartesian(3.0, 5.0);
+ Complex_Negative_Real : constant Complex :=
+ Compose_From_Cartesian(-4.0, 2.0);
+ Complex_Negative_Imaginary : constant Complex :=
+ Compose_From_Cartesian(3.0, -5.0);
+
+
+ function A_Zero_Result (Z : Complex) return Boolean is
+ begin
+ return (Re(Z) = 0.0 and Im(Z) = 0.0);
+ end A_Zero_Result;
+
+
+ -- In order to evaluate complex elementary functions that are
+ -- prescribed to return a "real" result (meaning that the imaginary
+ -- component is zero), the Function A_Real_Result is defined.
+
+ function A_Real_Result (Z : Complex) return Boolean is
+ begin
+ return Im(Z) = 0.0;
+ end A_Real_Result;
+
+
+ -- In order to evaluate complex elementary functions that are
+ -- prescribed to return an "imaginary" result (meaning that the real
+ -- component of the complex number is zero, and the imaginary
+ -- component is non-zero), the Function An_Imaginary_Result is defined.
+
+ function An_Imaginary_Result (Z : Complex) return Boolean is
+ begin
+ return (Re(Z) = 0.0 and Im(Z) /= 0.0);
+ end An_Imaginary_Result;
+
+
+ begin
+
+ -- Check that when the input parameter value is zero, the following
+ -- functions yield a zero result.
+
+ if not A_Zero_Result( Sqrt(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Sqrt with zero input");
+ end if;
+
+ if not A_Zero_Result( Sin(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Sin with zero input");
+ end if;
+
+ if not A_Zero_Result( Arcsin(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Arcsin with zero " &
+ "input");
+ end if;
+
+ if not A_Zero_Result( Tan(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Tan with zero input");
+ end if;
+
+ if not A_Zero_Result( Arctan(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Arctan with zero " &
+ "input");
+ end if;
+
+ if not A_Zero_Result( Sinh(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Sinh with zero input");
+ end if;
+
+ if not A_Zero_Result( Arcsinh(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Arcsinh with zero " &
+ "input");
+ end if;
+
+ if not A_Zero_Result( Tanh(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Tanh with zero input");
+ end if;
+
+ if not A_Zero_Result( Arctanh(Complex_Zero) ) then
+ Report.Failed("Non-zero result from Function Arctanh with zero " &
+ "input");
+ end if;
+
+
+ -- Check that when the input parameter value is zero, the following
+ -- functions yield a result of one.
+
+ if Exp(Complex_Zero) /= Plus_One
+ then
+ Report.Failed("Non-zero result from Function Exp with zero input");
+ end if;
+
+ if Cos(Complex_Zero) /= Plus_One
+ then
+ Report.Failed("Non-zero result from Function Cos with zero input");
+ end if;
+
+ if Cosh(Complex_Zero) /= Plus_One
+ then
+ Report.Failed("Non-zero result from Function Cosh with zero input");
+ end if;
+
+
+ -- Check that when the input parameter value is zero, the following
+ -- functions yield a real result.
+
+ if not A_Real_Result( Arccos(Complex_Zero) ) then
+ Report.Failed("Non-real result from Function Arccos with zero input");
+ end if;
+
+ if not A_Real_Result( Arccot(Complex_Zero) ) then
+ Report.Failed("Non-real result from Function Arccot with zero input");
+ end if;
+
+
+ -- Check that when the input parameter value is zero, the following
+ -- functions yield an imaginary result.
+
+ if not An_Imaginary_Result( Arccoth(Complex_Zero) ) then
+ Report.Failed("Non-imaginary result from Function Arccoth with " &
+ "zero input");
+ end if;
+
+
+ -- Check that when the input parameter value is one, the Sqrt function
+ -- yields a result of one.
+
+ if Sqrt(Plus_One) /= Plus_One then
+ Report.Failed("Incorrect result from Function Sqrt with input " &
+ "value of one");
+ end if;
+
+
+ -- Check that when the input parameter value is one, the following
+ -- functions yield a result of zero.
+
+ if not A_Zero_Result( Log(Plus_One) ) then
+ Report.Failed("Non-zero result from Function Log with input " &
+ "value of one");
+ end if;
+
+ if not A_Zero_Result( Arccos(Plus_One) ) then
+ Report.Failed("Non-zero result from Function Arccos with input " &
+ "value of one");
+ end if;
+
+ if not A_Zero_Result( Arccosh(Plus_One) ) then
+ Report.Failed("Non-zero result from Function Arccosh with input " &
+ "value of one");
+ end if;
+
+
+ -- Check that when the input parameter value is one, the Arcsin
+ -- function yields a real result.
+
+ if not A_Real_Result( Arcsin(Plus_One) ) then
+ Report.Failed("Non-real result from Function Arcsin with input " &
+ "value of one");
+ end if;
+
+
+ -- Check that when the input parameter value is minus one, the Sqrt
+ -- function yields a result of "i", when the sign of the imaginary
+ -- component of the input parameter is positive (and yields "-i", if
+ -- the sign on the imaginary component is negative), and the
+ -- Complex_Types.Real'Signed_Zeros attribute is True.
+
+ if TC_Signed_Zeros then
+
+ declare
+ Minus_One_With_Pos_Zero_Im_Component : Complex :=
+ Compose_From_Cartesian(-1.0, +0.0);
+ Minus_One_With_Neg_Zero_Im_Component : Complex :=
+ Compose_From_Cartesian
+ (-1.0, Real_Type(ImpDef.Annex_G.Negative_Zero));
+ begin
+
+ if Sqrt(Minus_One_With_Pos_Zero_Im_Component) /= Plus_i then
+ Report.Failed("Incorrect result from Function Sqrt, when " &
+ "input value is minus one with a positive " &
+ "imaginary component, Signed_Zeros being True");
+ end if;
+
+ if Sqrt(Minus_One_With_Neg_Zero_Im_Component) /= Minus_i then
+ Report.Failed("Incorrect result from Function Sqrt, when " &
+ "input value is minus one with a negative " &
+ "imaginary component, Signed_Zeros being True");
+ end if;
+ end;
+
+ else -- Signed_Zeros is False.
+
+ -- Check that when the input parameter value is minus one, the Sqrt
+ -- function yields a result of "i", when the
+ -- Complex_Types.Real'Signed_Zeros attribute is False.
+
+ if Sqrt(Minus_One) /= Plus_i then
+ Report.Failed("Incorrect result from Function Sqrt, when " &
+ "input value is minus one, Signed_Zeros being " &
+ "False");
+ end if;
+
+ end if;
+
+
+ -- Check that when the input parameter value is minus one, the Log
+ -- function yields an imaginary result.
+
+ if not An_Imaginary_Result( Log(Minus_One) ) then
+ Report.Failed("Non-imaginary result from Function Log with a " &
+ "minus one input value");
+ end if;
+
+ -- Check that when the input parameter is minus one, the following
+ -- functions yield a real result.
+
+ if not A_Real_Result( Arcsin(Minus_One) ) then
+ Report.Failed("Non-real result from Function Arcsin with a " &
+ "minus one input value");
+ end if;
+
+ if not A_Real_Result( Arccos(Minus_One) ) then
+ Report.Failed("Non-real result from Function Arccos with a " &
+ "minus one input value");
+ end if;
+
+
+ -- Check that when the input parameter has a value of +i or -i, the
+ -- Log function yields an imaginary result.
+
+ if not An_Imaginary_Result( Log(Plus_i) ) then
+ Report.Failed("Non-imaginary result from Function Log with an " &
+ "input value of ""+i""");
+ end if;
+
+ if not An_Imaginary_Result( Log(Minus_i) ) then
+ Report.Failed("Non-imaginary result from Function Log with an " &
+ "input value of ""-i""");
+ end if;
+
+
+ -- Check that exponentiation by a zero exponent yields the value one.
+
+ if "**"(Left => Compose_From_Cartesian(5.0, 3.0),
+ Right => Complex_Zero) /= Plus_One or
+ Complex_Negative_Real**0.0 /= Plus_One or
+ 15.0**Complex_Zero /= Plus_One
+ then
+ Report.Failed("Incorrect result from exponentiation with a zero " &
+ "exponent");
+ end if;
+
+
+ -- Check that exponentiation by a unit exponent yields the value of
+ -- the left operand (as a complex value).
+ -- Note: a "unit exponent" is considered the complex number (1.0, 0.0)
+
+ if "**"(Complex_Negative_Real, Plus_One) /=
+ Complex_Negative_Real or
+ Complex_Negative_Imaginary**Plus_One /=
+ Complex_Negative_Imaginary or
+ 4.0**Plus_One /=
+ Compose_From_Cartesian(4.0, 0.0)
+ then
+ Report.Failed("Incorrect result from exponentiation with a unit " &
+ "exponent");
+ end if;
+
+
+ -- Check that exponentiation of the value one yields the value one.
+
+ if "**"(Plus_One, Complex_Negative_Imaginary) /= Plus_One or
+ Plus_One**9.0 /= Plus_One or
+ 1.0**Complex_Negative_Real /= Plus_One
+ then
+ Report.Failed("Incorrect result from exponentiation of the value " &
+ "One");
+ end if;
+
+
+ -- Check that exponentiation of the value zero yields the value zero.
+ begin
+ if not A_Zero_Result("**"(Complex_Zero,
+ Complex_Positive_Imaginary)) or
+ not A_Zero_Result(Complex_Zero**4.0) or
+ not A_Zero_Result(0.0**Complex_Positive_Real)
+ then
+ Report.Failed("Incorrect result from exponentiation of the " &
+ "value zero");
+ end if;
+ exception
+ when others =>
+ Report.Failed("Exception raised during the exponentiation of " &
+ "the complex value zero");
+ end;
+
+
+ exception
+ when others => Report.Failed ("Exception raised in Test_Block");
+ end Test_Block;
+
+ Report.Result;
+
+end CXG1005;