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-- CXG1002.A

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--*

--

-- 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;