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      variable neg: STD_ULOGIC;
      constant one : UNSIGNED(1 downto 0) := "01";
      
      -- pragma map_to_operator MULT_TC_OP
      -- pragma type_function MULT_SIGNED_ARG
      -- pragma return_port_name Z

      begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            PA := (others => 'X');
            return(PA);
	end if;
        PA := (others => '0');
        neg := B(B'left) xor A(A'left);
        BA := CONV_SIGNED(('0' & ABS(B)),(A'length+B'length));
        AA := '0' & ABS(A);
        for i in 0 to A'length-1 loop
          if AA(i) = '1' then
            PA := PA+BA;
          end if;
          BA := SHL(BA,one);
        end loop;
        if (neg= '1') then
          return(-PA);
        else 
          return(PA);
        end if;
      end;

    function mult(A,B: UNSIGNED) return UNSIGNED is

      variable BA: UNSIGNED((A'length+B'length-1) downto 0);
      variable PA: UNSIGNED((A'length+B'length-1) downto 0);
      constant one : UNSIGNED(1 downto 0) := "01";
      
      -- pragma map_to_operator MULT_UNS_OP
      -- pragma type_function MULT_UNSIGNED_ARG
      -- pragma return_port_name Z

      begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            PA := (others => 'X');
            return(PA);
	end if;
        PA := (others => '0');
        BA := CONV_UNSIGNED(B,(A'length+B'length));
        for i in 0 to A'length-1 loop
          if A(i) = '1' then
            PA := PA+BA;
          end if;
          BA := SHL(BA,one);
        end loop;
        return(PA);
      end;

    -- subtract two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function minus(A, B: SIGNED) return SIGNED is
	variable carry: STD_ULOGIC;
	variable BV: STD_ULOGIC_VECTOR (A'left downto 0);
	variable sum: SIGNED (A'left downto 0);

	-- pragma map_to_operator SUB_TC_OP

	-- pragma type_function LEFT_SIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '1';
	BV := not STD_ULOGIC_VECTOR(B);

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;

    -- add two signed numbers of the same length
    -- both arrays must have range (msb downto 0)
    function plus(A, B: SIGNED) return SIGNED is
	variable carry: STD_ULOGIC;
	variable BV, sum: SIGNED (A'left downto 0);

	-- pragma map_to_operator ADD_TC_OP
	-- pragma type_function LEFT_SIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '0';
	BV := B;

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;


    -- subtract two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_minus(A, B: UNSIGNED) return UNSIGNED is
	variable carry: STD_ULOGIC;
	variable BV: STD_ULOGIC_VECTOR (A'left downto 0);
	variable sum: UNSIGNED (A'left downto 0);

	-- pragma map_to_operator SUB_UNS_OP
	-- pragma type_function LEFT_UNSIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '1';
	BV := not STD_ULOGIC_VECTOR(B);

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;

    -- add two unsigned numbers of the same length
    -- both arrays must have range (msb downto 0)
    function unsigned_plus(A, B: UNSIGNED) return UNSIGNED is
	variable carry: STD_ULOGIC;
	variable BV, sum: UNSIGNED (A'left downto 0);

	-- pragma map_to_operator ADD_UNS_OP
	-- pragma type_function LEFT_UNSIGNED_ARG
        -- pragma return_port_name Z

    begin
	if (A(A'left) = 'X' or B(B'left) = 'X') then
            sum := (others => 'X');
            return(sum);
	end if;
	carry := '0';
	BV := B;

	for i in 0 to A'left loop
	    sum(i) := A(i) xor BV(i) xor carry;
	    carry := (A(i) and BV(i)) or
		    (A(i) and carry) or
		    (carry and BV(i));
	end loop;
	return sum;
    end;



    function "*"(L: SIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to mult
    begin
          return     mult(CONV_SIGNED(L, L'length),
		          CONV_SIGNED(R, R'length)); -- pragma label mult 
    end;
      
    function "*"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to mult
    begin
          return   mult(CONV_UNSIGNED(L, L'length),
                        CONV_UNSIGNED(R, R'length)); -- pragma label mult 
    end;
        
    function "*"(L: UNSIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
    begin
 	return       mult(CONV_SIGNED(L, L'length+1),
		          CONV_SIGNED(R, R'length)); -- pragma label mult 
    end;

    function "*"(L: SIGNED; R: UNSIGNED) return SIGNED is
	-- pragma label_applies_to plus
    begin
	return      mult(CONV_SIGNED(L, L'length),
		         CONV_SIGNED(R, R'length+1)); -- pragma label mult 
    end;


    function "*"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
    begin
          return STD_LOGIC_VECTOR (mult(CONV_SIGNED(L, L'length),
		          CONV_SIGNED(R, R'length))); -- pragma label mult 
    end;
      
    function "*"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to mult
    begin
          return STD_LOGIC_VECTOR (mult(CONV_UNSIGNED(L, L'length),
                        CONV_UNSIGNED(R, R'length))); -- pragma label mult 
    end;
        
    function "*"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
    begin
 	return STD_LOGIC_VECTOR (mult(CONV_SIGNED(L, L'length+1),
		          CONV_SIGNED(R, R'length))); -- pragma label mult 
    end;

    function "*"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
    begin
	return STD_LOGIC_VECTOR (mult(CONV_SIGNED(L, L'length),
		         CONV_SIGNED(R, R'length+1))); -- pragma label mult 
    end;


    function "+"(L: UNSIGNED; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length);
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
			     CONV_UNSIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: UNSIGNED) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: INTEGER) return UNSIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length + 1;
    begin
	return CONV_UNSIGNED(
		plus( -- pragma label plus
		    CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)),
		length-1);
    end;


    function "+"(L: INTEGER; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length + 1;
    begin
	return CONV_UNSIGNED(
		plus( -- pragma label plus
		    CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)),
		length-1);
    end;


    function "+"(L: SIGNED; R: INTEGER) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: INTEGER; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: STD_ULOGIC) return UNSIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length;
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
		     CONV_UNSIGNED(R, length)) ; -- pragma label plus
    end;


    function "+"(L: STD_ULOGIC; R: UNSIGNED) return UNSIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length;
    begin
	return unsigned_plus(CONV_UNSIGNED(L, length),
		     CONV_UNSIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: STD_ULOGIC) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;


    function "+"(L: STD_ULOGIC; R: SIGNED) return SIGNED is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length;
    begin
	return plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)); -- pragma label plus
    end;



    function "+"(L: UNSIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (unsigned_plus(CONV_UNSIGNED(L, length),
			     CONV_UNSIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length);
    begin
	return STD_LOGIC_VECTOR (plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length + 1, R'length);
    begin
	return STD_LOGIC_VECTOR (plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: SIGNED; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := max(L'length, R'length + 1);
    begin
	return STD_LOGIC_VECTOR (plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		plus( -- pragma label plus
		    CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)),
		length-1));
    end;


    function "+"(L: INTEGER; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length + 1;
    begin
	return STD_LOGIC_VECTOR (CONV_UNSIGNED(
		plus( -- pragma label plus
		    CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length)),
		length-1));
    end;


    function "+"(L: SIGNED; R: INTEGER) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: INTEGER; R: SIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := R'length;
    begin
	return STD_LOGIC_VECTOR (plus(CONV_SIGNED(L, length),
		    CONV_SIGNED(R, length))); -- pragma label plus
    end;


    function "+"(L: UNSIGNED; R: STD_ULOGIC) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus
	constant length: INTEGER := L'length;
    begin
	return STD_LOGIC_VECTOR (unsigned_plus(CONV_UNSIGNED(L, length),
		     CONV_UNSIGNED(R, length))) ; -- pragma label plus
    end;


    function "+"(L: STD_ULOGIC; R: UNSIGNED) return STD_LOGIC_VECTOR is
	-- pragma label_applies_to plus

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