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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;