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        return RESULT;
    end;


    function "+" (A: std_logic; B: std_logic_vector)
    return std_logic_Vector is
        variable RESULT: std_logic_Vector(B'length-1 downto 0);
    begin
        result := B;
        if not (A='1' or A='H') then return result; end if;
        for I in RESULT'reverse_range loop
            result(i) := not B(i);
            exit when result(i)='1';
        end loop;
        return RESULT;
    end;


------------------------------------------------------------------------
    function "-" (A, B: Std_Logic_Vector) return Std_Logic_Vector is
        constant LEN : integer := max(A'length,B'length);
        variable RESULT,left,right : Std_Logic_Vector( LEN-1 downto 0);
        variable carry: std_logic;
        variable lt, rt: std_logic;

    begin
        left := HDLi_ZeroExtend(A,result'length);
        right := not(HDLi_ZeroExtend(B,result'length));
        carry := '1';

        for I in RESULT'reverse_range loop
            lt := left(I);
            rt := right(I);
            RESULT(I) := lt xor rt xor carry;
            carry := (lt and rt) or (lt and carry) or (rt and carry);
        end loop;
        return RESULT;
    end;

    function "-" (A: std_logic_Vector; B: std_logic)
    return std_logic_Vector is
        variable RESULT: std_logic_Vector(A'length-1 downto 0);
    begin
        result := A;
        if not (B='1' or B='H') then return result; end if;
        for I in RESULT'reverse_range loop
            result(i) := not A(i);
            exit when result(i)='0';
        end loop;
        return RESULT;
    end;


    function "-" (A: std_logic; B: std_logic_vector)
    return std_logic_Vector is
        variable RESULT: std_logic_Vector(B'length-1 downto 0);
    begin
        result := B;
        if not (A='1' or A='H') then return result; end if;
        for I in RESULT'reverse_range loop
            result(i) := not B(i);
            exit when result(i)='0';
        end loop;
        return RESULT;
    end;


    function "-"(A: std_logic_Vector) return std_logic_Vector is
       variable RESULT : std_logic_Vector(A'length-1 downto 0);
       variable carry: std_logic;
    begin
       carry := '1';
       for I in RESULT'reverse_range loop
          result(i):=carry xor (not A(i));
          carry:=carry and (not A(i));
       end loop;
       return RESULT;
    end;

    function HDLi_SUmult (A, B: Std_Logic_Vector) return Std_Logic_Vector is
        constant reslen: integer := A'length + B'length;
        variable RESULT: Std_Logic_Vector(reslen-1 downto 0);
        variable temp: Std_Logic_Vector(reslen-1 downto 0);
        variable A1,B1 : Std_Logic_Vector(reslen-1 downto 0);
    begin
      B1 := HDLi_ZeroExtend(B,reslen);
      A1 := HDLi_SignExtend(A,reslen);
      RESULT := (others => '0');
      for i in 0 to reslen-1 loop
          if B1(i) = '1' or B1(i)='H' then
              temp := (others => '0');
              temp(reslen-1 downto i) := A1(reslen-1-i downto 0);
              RESULT := RESULT + temp;
          end if;
      end loop;
      return RESULT(reslen-1 downto 0);
    end;

    function HDLi_Smult (A, B: Std_Logic_Vector) return Std_Logic_Vector is
        constant reslen: integer := A'length + B'length;
        variable RESULT: Std_Logic_Vector(reslen-1 downto 0);
        variable temp: Std_Logic_Vector(reslen-1 downto 0);
        variable A1,B1 : Std_Logic_Vector(reslen-1 downto 0);
    begin
      B1 := HDLi_SignExtend(B,reslen);
      A1 := HDLi_SignExtend(A,reslen);
      RESULT := (others => '0');
      for i in 0 to reslen-1 loop
          if B1(i) = '1' or B1(i)='H' then
              temp := (others => '0');
              temp(reslen-1 downto i) := A1(reslen-1-i downto 0);
              RESULT := RESULT + temp;
          end if;
      end loop;
      return RESULT(reslen-1 downto 0);
    end;

    function HDLi_Umult (A, B: Std_Logic_Vector) return Std_Logic_Vector is
        constant reslen: integer := A'length + B'length;
        variable RESULT: Std_Logic_Vector(reslen-1 downto 0);
        variable temp: Std_Logic_Vector(reslen-1 downto 0);
        variable A1,B1 : Std_Logic_Vector(reslen-1 downto 0);
    begin
      B1 := HDLi_ZeroExtend(B,reslen);
      A1 := HDLi_ZeroExtend(A,reslen);
      RESULT := (others => '0');
      for i in 0 to reslen-1 loop
          if B1(i) = '1' or B1(i)='H' then
              temp := (others => '0');
              temp(reslen-1 downto i) := A1(reslen-1-i downto 0);
              RESULT := RESULT + temp;
          end if;
      end loop;
      return RESULT;
    end;


    function HDLi_GreyIncr (A: Std_Logic_Vector) return Std_Logic_Vector is
        variable L : std_logic_vector(A'range);
        variable R : std_logic_vector(A'range);
        variable N : std_logic_vector(A'range);
        variable S : std_logic_vector(A'range);
    begin
      
      L(A'high) := '1'; 
      for index in A'length-2 downto 0 loop
        L(index) := A(index+1) xor L(index+1); 
      end loop;
 
      N(0) := '1';
      for index in 1 to (A'length-1) loop
        N(index) := not(A(index-1)) and N(index-1);
      end loop;
 
      R(0) := '1';
      for index in 1 to (A'length-2) loop 
        R(index) := A(index-1) and N(index-1);
      end loop;
      R(A'high) := (not(A(A'high)) and A(A'high-1) and N(A'high-1)) or (N(A'high) and A(A'high));
 
      S(0) := L(0);
      for index in 1 to (A'length-2) loop
        S(index) := A(index) xor (R(index) and L(index-1));
      end loop;
      S(A'high) := A(A'high) xor R(A'high);

      return S;

    end;

------------------------------------------------------------------------
    function HDLi_AltB_Signed (A, B: Std_Logic_Vector) return Std_Logic is
        variable msb: integer;
    begin
        msb := A'left;

        if (A(msb) /= '0' AND A(msb) /= '1') then return 'X'; end if;
        if (B(msb) /= '0' AND B(msb) /= '1') then return 'X'; end if;
        if (A(msb) = '1' AND B(msb) = '0') then return '1'; end if;
        if (A(msb) = '0' AND B(msb) = '1') then return '0'; end if;
        for I in A'left - 1 downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '0'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '1'; end if;
        end loop;
        return '0';
    end;


    function HDLi_AleB_Signed (A, B: Std_Logic_Vector) return Std_Logic is
        variable msb: integer;
    begin
        msb := A'left;

        if (A(msb) /= '0' AND A(msb) /= '1') then return 'X'; end if;
        if (B(msb) /= '0' AND B(msb) /= '1') then return 'X'; end if;
        if (A(msb) = '1' AND B(msb) = '0') then return '1'; end if;
        if (A(msb) = '0' AND B(msb) = '1') then return '0'; end if;

        for I in A'left - 1 downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '0'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '1'; end if;
        end loop;
        return '1';
    end;

    function HDLi_AgtB_Signed (A, B: Std_Logic_Vector) return Std_Logic is
        variable msb: integer;
    begin
        msb := A'left;

        if (A(msb) /= '0' AND A(msb) /= '1') then return 'X'; end if;
        if (B(msb) /= '0' AND B(msb) /= '1') then return 'X'; end if;
        if (A(msb) = '1' AND B(msb) = '0') then return '0'; end if;
        if (A(msb) = '0' AND B(msb) = '1') then return '1'; end if;
        for I in A'left - 1 downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '1'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '0'; end if;
        end loop;
        return '0';
    end;

    function HDLi_AgeB_Signed (A, B: Std_Logic_Vector) return Std_Logic is
        variable msb: integer;
    begin
        msb := A'left;

        if (A(msb) /= '0' AND A(msb) /= '1') then return 'X'; end if;
        if (B(msb) /= '0' AND B(msb) /= '1') then return 'X'; end if;
        if (A(msb) = '1' AND B(msb) = '0') then return '0'; end if;
        if (A(msb) = '0' AND B(msb) = '1') then return '1'; end if;
        for I in A'left - 1 downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '1'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '0'; end if;
        end loop;
        return '1';
    end;


    function HDLi_AltB_UnSigned (A, B: Std_Logic_Vector) return Std_Logic is

    begin

        
        for I in A'left downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '0'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '1'; end if;
        end loop;
        return '0';
    end;

    function HDLi_AleB_UnSigned (A, B: Std_Logic_Vector) return Std_Logic is

    begin


        for I in A'left downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '0'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '1'; end if;
        end loop;
        return '1';
    end;


    function HDLi_AgtB_UnSigned (A, B: Std_Logic_Vector) return Std_Logic is

    begin


        for I in A'left downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '1'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '0'; end if;
        end loop;
        return '0';
    end;

    function HDLi_AgeB_UnSigned (A, B: Std_Logic_Vector) return Std_Logic is

    begin


        for I in A'left downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '1'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '0'; end if;
        end loop;
        return '1';
    end;

    function HDLi_AeqB (A, B: Std_Logic_Vector) return Std_Logic is
    begin
        for I in A'left downto 0 loop
          if (A(I) /= '0' AND A(I) /= '1') then return 'X'; end if;
          if (B(I) /= '0' AND B(I) /= '1') then return 'X'; end if;
          if (A(I) = '1' AND B(I) = '0') then return '0'; end if;
          if (A(I) = '0' AND B(I) = '1') then return '0'; end if;
        end loop;
        return '1';
    end;

end HDLI;

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