gh_cordic_rotation.vhd

VHDL Library for 8254 timer/counter core

-----------------------------------------------------------------------------
--	Filename:	gh_cordic_rotation.vhd
--
--	Description:
--		The Cordic Rotation Algorithm
--
--	Copyright (c) 2005, 2006 by George Huber 
--		an OpenCores.org Project
--		free to use, but see documentation for conditions 
--
--	Revision	History:
--	Revision	Date      	Author   	Comment
--	--------	----------	---------	-----------
--	0.1     	2002      	dgroce   	class project 
--	0.2     	07/03/05  	h lefevre	working w/generics translation
--	1.0      	09/03/05  	S A Dodd 	Initial GH LIB revision
--	1.1      	02/18/06  	G Huber 	add gh_ to name
--
-----------------------------------------------------------------------------

LIBRARY ieee;
USE ieee.std_logic_1164.ALL;
USE ieee.std_logic_arith.ALL;
use IEEE.std_logic_signed.all;

ENTITY gh_cordic_rotation IS  
	GENERIC (size: INTEGER := 16; -- size of x,y vectors
	         iterations: INTEGER :=15);	-- can not be larger than size
	PORT(
		clk    : IN  STD_LOGIC;
		rst    : in STD_LOGIC;
		x_in   : IN  STD_LOGIC_VECTOR (size-1 downto 0);
		y_in   : IN  STD_LOGIC_VECTOR (size-1 downto 0) := (others => '0');
		z_in   : IN  STD_LOGIC_VECTOR (size-1 downto 0) := (others => '0');
		x_out  : OUT STD_LOGIC_VECTOR (size-1 downto 0);
		y_out  : OUT STD_LOGIC_VECTOR (size-1 downto 0);
		z_out  : OUT STD_LOGIC_VECTOR (19 downto 0)
		);
END entity;

ARCHITECTURE a OF gh_cordic_rotation IS	  

	function ATAN(n :natural) return STD_LOGIC_VECTOR is -- atan(rad)
	variable result	:STD_LOGIC_VECTOR (19 downto 0);
	begin
		case n is
			when 0 => result := x"20000"; -- (atan(1/1) * (2^20 / 2pi))
			when 1 => result := x"12E40"; -- (atan(1/2) * (2^20 / 2pi))
			when 2 => result := x"09FB4"; -- (atan(1/4) * (2^20 / 2pi))
			when 3 => result := x"05111"; -- (atan(1/8) * (2^20 / 2pi))
			when 4 => result := x"028B1"; -- (atan(1/16) * (2^20 / 2pi))
			when 5 => result := x"0145D"; -- (atan(1/32) * (2^20 / 2pi))
			when 6 => result := x"00A2F"; -- (atan(1/64) * (2^20 / 2pi))
			when 7 => result := x"00518"; -- (atan(1/128) * (2^20 / 2pi))
			when 8 => result := x"0028C"; -- (atan(1/256) * (2^20 / 2pi))
			when 9 => result := x"00146"; -- (atan(1/512) * (2^20 / 2pi))
			when 10 => result := x"000A3"; -- (atan(1/1024) * (2^20 / 2pi))
			when 11 => result := x"00051"; -- (atan(1/2048) * (2^20 / 2pi))
			when 12 => result := x"00029"; -- (atan(1/4096) * (2^20 / 2pi))
			when 13 => result := x"00014"; -- (atan(1/8192) * (2^20 / 2pi))
			when 14 => result := x"0000A"; -- (atan(1/16384) * (2^20 / 2pi))
			when 15 => result := x"00005"; -- (atan(1/32768) * (2^20 / 2pi))
			when 16 => result := x"00003"; -- (atan(1/65536) * (2^20 / 2pi))
			when 17 => result := x"00001"; -- (atan(1/131072) * (2^20 / 2pi))
			when others => result := x"00000";
		end case;
		return result;
	end ATAN;
  
	type xyword_array is array (iterations downto 1) 
	                  of STD_LOGIC_VECTOR(size-1 downto 0);
	type zword_array is array (iterations downto 1) 
	                  of STD_LOGIC_VECTOR(19 downto 0);
	SIGNAL  x, y :  XYWORD_ARRAY; -- Intermediate values
	SIGNAL  z  :  ZWORD_ARRAY;
	SIGNAL iz : STD_LOGIC_VECTOR(19 downto 0);
	SIGNAL zero : STD_LOGIC_VECTOR(19 - size downto 0);
	
BEGIN 

	-- outputs
	x_out <= x(iterations-1);
	y_out <= y(iterations-1);
	z_out <= z(iterations-1);

	-- increase size of z vector to 20 bits
	zero <= (others => '0');
	iz <= z_in & zero;

PROCESS (clk,rst) 
BEGIN 	
	if (rst = '1') then
		for i in 1 to (iterations) loop
			x(i) <= (others => '0');
			y(i) <= (others => '0');
			z(i) <= (others => '0');
		end loop;
	elsif (rising_edge(clk)) THEN
		-- iteration loop
		for k in 2 to (iterations) loop	
			IF (z(k-1)(19) = '1') THEN
				x(k) <= x(k-1) + y(k-1)(size-1 downto k-1);
				y(k) <= y(k-1) - x(k-1)(size-1 downto k-1);
				z(k) <= z(k-1) + ATAN(k-1);
		    ELSE
				x(k) <= x(k-1) - y(k-1)(size-1 downto k-1);
				y(k) <= y(k-1) + x(k-1)(size-1 downto k-1);
				z(k) <= z(k-1) - ATAN(k-1);
			END IF;	
 		end loop; 			   
		-- here is the 1st iteration
		IF (iz(19) = '1') THEN 
			x(1) <= x_in + y_in;
			y(1) <= y_in - x_in;
			z(1) <= iz + ATAN(0);
	    ELSE
			x(1) <= x_in - y_in;
			y(1) <= y_in + x_in;
			z(1) <= iz - ATAN(0);	
		END IF;					
	END IF;
END PROCESS;



END a;