cxg1002.a

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-- CXG1002.A
--
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--     F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained 
--     unlimited rights in the software and documentation contained herein.
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--     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_Types provide the prescribed results.  
--      Specifically, check the various versions of functions "+" and "-".
--
-- TEST DESCRIPTION:
--      This test checks that the subprograms "+" and "-" defined in the 
--      Generic_Complex_Types package provide the results prescribed for the
--      evaluation of these complex arithmetic operations.  The functions
--      Re and Im are used to extract the appropriate component of the 
--      complex result, in order that the prescribed result component can be
--      verified.
--      The generic package is instantiated with a real type (new Float), 
--      and the results produced by the specified subprograms are verified.
--
-- SPECIAL REQUIREMENTS:
--      This test can be run in either "relaxed" or "strict" mode.
--
--       
-- CHANGE HISTORY:
--      06 Dec 94   SAIC    ACVC 2.0
--
--!

with Ada.Numerics.Generic_Complex_Types;
with Report;

procedure CXG1002 is

begin

   Report.Test ("CXG1002", "Check that the subprograms defined in " &
                           "the package Ada.Numerics.Generic_Complex_Types " & 
                           "provide the prescribed results");

   Test_Block:
   declare

      type Real_Type is new Float;

      package Complex_Pack is new 
        Ada.Numerics.Generic_Complex_Types(Real_Type);
      use Complex_Pack;

      -- Declare a zero valued complex number using the record
      -- aggregate approach.

      Complex_Zero : constant Complex_Pack.Complex := (0.0, 0.0);

      TC_Complex,
      TC_Complex_Right,
      TC_Complex_Left   : Complex_Pack.Complex := Complex_Zero;

      TC_Real           : Real_Type := 0.0;

      TC_Imaginary      : Complex_Pack.Imaginary;

   begin


      -- Check that the imaginary component of the result of a binary addition
      -- operator that yields a result of complex type is exact when either
      -- of its operands is of pure-real type.

      TC_Complex := Compose_From_Cartesian(2.0, 3.0);
      TC_Real    := 3.0;

      if Im("+"(Left => TC_Complex, Right => TC_Real))  /=  3.0 or
         Im("+"(TC_Complex, 6.0))                       /=  3.0 or
         Im(TC_Complex + TC_Real)                       /=  3.0 or
         Im(TC_Complex + 5.0)                           /=  3.0 or
         Im((7.0, 2.0) + 1.0)                           /=  2.0 or
         Im((7.0, 5.0) + (-2.0))                        /=  5.0 or
         Im((-7.0, -2.0) + 1.0)                         /= -2.0 or
         Im((-7.0, -3.0) + (-3.0))                      /= -3.0
      then 
         Report.Failed("Incorrect results from Function ""+"" with " &
                       "one Complex and one Real argument - 1");
      end if;

      if Im("+"(Left => TC_Real, Right => TC_Complex))  /=   3.0  or
         Im("+"(4.0, TC_Complex))                       /=   3.0  or
         Im(TC_Real + TC_Complex)                       /=   3.0  or
         Im(9.0 + TC_Complex)                           /=   3.0  or
         Im(1.0 + (7.0, -9.0))                          /=  -9.0  or
         Im((-2.0) + (7.0, 2.0))                        /=   2.0  or
         Im(1.0 + (-7.0, -5.0))                         /=  -5.0  or
         Im((-3.0) + (-7.0, 16.0))                      /=  16.0
      then 
         Report.Failed("Incorrect results from Function ""+"" with " &
                       "one Complex and one Real argument - 2");
      end if;


      -- Check that the imaginary component of the result of a binary 
      -- subtraction operator that yields a result of complex type is exact
      -- when its right operand is of pure-real type.

      TC_Complex := (8.0, -4.0);
      TC_Real    := 2.0;

      if Im("-"(Left => TC_Complex, Right => TC_Real))  /=  -4.0  or
         Im("-"(TC_Complex, 5.0))                       /=  -4.0  or
         Im(TC_Complex - TC_Real)                       /=  -4.0  or
         Im(TC_Complex - 4.0)                           /=  -4.0  or
         Im((6.0, 5.0) - 1.0)                           /=   5.0  or
         Im((6.0, 13.0) - 7.0)                          /=  13.0  or
         Im((-5.0, 3.0) - (2.0))                        /=   3.0  or
         Im((-5.0, -6.0) - (-3.0))                      /=  -6.0 
      then 
         Report.Failed("Incorrect results from Function ""-"" with " &
                       "one Complex and one Real argument");
      end if;


      -- Check that the real component of the result of a binary addition
      -- operator that yields a result of complex type is exact when either
      -- of its operands is of pure-imaginary type.

      TC_Complex := (5.0, 0.0);

      if Re("+"(Left => TC_Complex, Right => i))  /=   5.0 or
         Re("+"(Complex_Pack.j, TC_Complex))      /=   5.0 or
         Re((-8.0,  5.0) + ( 2.0*i))              /=  -8.0 or
         Re((2.0,  5.0) + (-2.0*i))               /=   2.0 or
         Re((-20.0, -5.0) + ( 3.0*i))             /= -20.0 or
         Re((6.0, -5.0) + (-3.0*i))               /=   6.0
      then
         Report.Failed("Incorrect results from Function ""+"" with " &
                       "one Complex and one Imaginary argument");
      end if;


      -- Check that the real component of the result of a binary 
      -- subtraction operator that yields a result of complex type is exact
      -- when its right operand is of pure-imaginary type.

      TC_Complex := TC_Complex + i;    -- Should produce (5.0, 1.0)

      if Re("-"(TC_Complex, i))                   /=  5.0 or
         Re((-4.0,  4.0) - ( 2.0*i))              /= -4.0 or
         Re((9.0,  4.0) - ( 5.0*i))               /=  9.0 or
         Re((16.0, -5.0) - ( 3.0*i))              /= 16.0 or
         Re((-3.0, -5.0) - (-4.0*i))              /= -3.0
      then
         Report.Failed("Incorrect results from Function ""-"" with " &
                       "one Complex and one Imaginary argument");
      end if;


      -- Check that the result of a binary addition operation is exact when
      -- one of its operands is of real type and the other is of 
      -- pure-imaginary type; the operator is analogous to the 
      -- Compose_From_Cartesian function; it performs no arithmetic.

      TC_Complex := Complex_Pack."+"(5.0, Complex_Pack.i);

      if TC_Complex                   /= (5.0, 1.0) or
         (4.0 + i)                    /= (4.0, 1.0) or
         "+"(Left => j, Right => 3.0) /= (3.0, 1.0) 
      then
         Report.Failed("Incorrect results from Function ""+"" with " &
                       "one Real and one Imaginary argument");
      end if;


   exception
      when others => Report.Failed ("Exception raised in Test_Block");
   end Test_Block;

   Report.Result;

end CXG1002;