content
stringlengths
1
1.04M
-- Copyright (C) 1996 Morgan Kaufmann Publishers, Inc -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: ch_17_fg_17_14.vhd,v 1.2 2001-10-26 16:29:37 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- -- not in book entity test_bench is end entity test_bench; -- end not in book library ieee; use ieee.std_logic_1164.all; architecture initial_test of test_bench is use work.stimulus_types.all; -- . . . -- component and signal declarations -- not in book signal dut_signals : std_logic_vector(0 to stimulus_vector_length - 1); -- end not in book begin -- . . . -- instantiate design under test stimulus_generation : process is use work.stimulus_element_ordered_collection_adt.all; variable stimulus_list : ordered_collection := new_ordered_collection; variable next_stimulus_position : position; variable next_stimulus : stimulus_element; variable position_is_null : boolean; begin insert(stimulus_list, stimulus_element'(0 ns, "0XXXXXXXXX")); insert(stimulus_list, stimulus_element'(200 ns, "0000110110")); insert(stimulus_list, stimulus_element'(300 ns, "10001ZZZZZ")); insert(stimulus_list, stimulus_element'(50 ns, "1XXXXXXXXX")); insert(stimulus_list, stimulus_element'(60 ns, "1ZZZZZZZZZ")); -- . . . -- not in book insert(stimulus_list, stimulus_element'(100 ns, "----------")); search(stimulus_list, 100 ns, next_stimulus_position); delete(next_stimulus_position); get_element(next_stimulus_position, next_stimulus); -- end not in book find_first(stimulus_list, next_stimulus_position); loop test_null_position(next_stimulus_position, position_is_null); exit when position_is_null; get_element(next_stimulus_position, next_stimulus); wait for next_stimulus.application_time - now; dut_signals <= next_stimulus.pattern; advance(next_stimulus_position); end loop; wait; end process stimulus_generation; end architecture initial_test;
-- ------------------------------------------------------------- -- -- Generated Architecture Declaration for rtl of inst_m_e -- -- Generated -- by: wig -- on: Mon Jun 26 08:31:57 2006 -- cmd: /cygdrive/h/work/eclipse/MIX/mix_0.pl ../../generic.xls -- -- !!! Do not edit this file! Autogenerated by MIX !!! -- $Author: wig $ -- $Id: inst_m_e-rtl-a.vhd,v 1.2 2006/06/26 08:39:42 wig Exp $ -- $Date: 2006/06/26 08:39:42 $ -- $Log: inst_m_e-rtl-a.vhd,v $ -- Revision 1.2 2006/06/26 08:39:42 wig -- Update more testcases (up to generic) -- -- -- Based on Mix Architecture Template built into RCSfile: MixWriter.pm,v -- Id: MixWriter.pm,v 1.90 2006/06/22 07:13:21 wig Exp -- -- Generator: mix_0.pl Revision: 1.46 , wilfried.gaensheimer@micronas.com -- (C) 2003,2005 Micronas GmbH -- -- -------------------------------------------------------------- library IEEE; use IEEE.std_logic_1164.all; -- No project specific VHDL libraries/arch -- -- -- Start of Generated Architecture rtl of inst_m_e -- architecture rtl of inst_m_e is -- -- Generated Constant Declarations -- -- -- Generated Components -- -- -- Generated Signal List -- -- -- End of Generated Signal List -- begin -- -- Generated Concurrent Statements -- -- -- Generated Signal Assignments -- -- -- Generated Instances and Port Mappings -- end rtl; -- --!End of Architecture/s -- --------------------------------------------------------------
------------------------------------------------------------------------------ -- This file is a part of the GRLIB VHDL IP LIBRARY -- Copyright (C) 2003 - 2008, Gaisler Research -- Copyright (C) 2008 - 2014, Aeroflex Gaisler -- -- This program is free software; you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation; either version 2 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program; if not, write to the Free Software -- Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA ------------------------------------------------------------------------------- -- Entity: i2cmst -- File: i2cmst.vhd -- Author: Jan Andersson - Gaisler Research -- Contact: support@gaisler.com -- Description: -- -- APB interface to OpenCores I2C-master. This is an GRLIB AMBA wrapper -- that instantiates the byte- and bit-controller of the OpenCores I2C -- master (OC core developed by Richard Herveille, richard@asics.ws). -- The OC byte- and bit-controller are located under lib/opencores/i2c -- -- The original master had a WISHBONE interface with registers -- aligned at byte boundaries. This wrapper has a slighly different -- alignment of the registers, and also (optionally) adds a filter -- filter register (FR): -- -- +------------+--------------------------------------+ -- | Offset | Bits in word | -- | |---------+---------+---------+--------+ -- | | 31 - 24 | 23 - 16 | 15 - 8 | 7 - 0 | -- +------------+---------+---------+---------+--------+ -- | 0x00 | 0x00 | 0x00 | PRERhi | PRERlo | -- | 0x04 | 0x00 | 0x00 | 0x00 | CTR | -- | 0x08 | 0x00 | 0x00 | 0x00 | TXR | -- | 0x08 | 0x00 | 0x00 | 0x00 | RXR | -- | 0x0C | 0x00 | 0x00 | 0x00 | CR | -- | 0x0C | 0x00 | 0x00 | 0x00 | SR | -- | 0x10 | FR | -- +------------+---------+---------+---------+--------+ -- -- Revision 1 of this core also sets the TIP bit when STO is set. -- -- Revision 2 of this core adds a filter generic to adjust the low pass filter -- -- Revision 3 of this core adds yet another filter generic that can be set to -- make the filter soft configurable. library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; library grlib; use grlib.amba.all; use grlib.devices.all; use grlib.stdlib.all; library gaisler; use gaisler.i2c.all; library opencores; use opencores.i2coc.all; entity i2cmst is generic ( -- APB generics pindex : integer := 0; -- slave bus index paddr : integer := 0; pmask : integer := 16#fff#; pirq : integer := 0; -- interrupt index oepol : integer range 0 to 1 := 0; -- output enable polarity filter : integer range 2 to 512 := 2; -- filter bit size dynfilt : integer range 0 to 1 := 0); port ( rstn : in std_ulogic; clk : in std_ulogic; -- APB signals apbi : in apb_slv_in_type; apbo : out apb_slv_out_type; -- I2C signals i2ci : in i2c_in_type; i2co : out i2c_out_type ); end entity i2cmst; architecture rtl of i2cmst is ----------------------------------------------------------------------------- -- Constants ----------------------------------------------------------------------------- constant I2CMST_REV : integer := 3; constant PCONFIG : apb_config_type := ( 0 => ahb_device_reg(VENDOR_GAISLER, GAISLER_I2CMST, 0, I2CMST_REV, pirq), 1 => apb_iobar(paddr, pmask)); constant PRER_addr : std_logic_vector(7 downto 2) := "000000"; constant CTR_addr : std_logic_vector(7 downto 2) := "000001"; constant TXR_addr : std_logic_vector(7 downto 2) := "000010"; constant RXR_addr : std_logic_vector(7 downto 2) := "000010"; constant CR_addr : std_logic_vector(7 downto 2) := "000011"; constant SR_addr : std_logic_vector(7 downto 2) := "000011"; constant FR_addr : std_logic_vector(7 downto 2) := "000100"; ----------------------------------------------------------------------------- -- ----------------------------------------------------------------------------- ----------------------------------------------------------------------------- -- Types ----------------------------------------------------------------------------- -- Register interface type ctrl_reg_type is record -- Control register en : std_ulogic; ien : std_ulogic; end record; type cmd_reg_type is record -- Command register sta : std_ulogic; sto : std_ulogic; rd : std_ulogic; wr : std_ulogic; ack : std_ulogic; end record; type sts_reg_type is record -- Status register rxack : std_ulogic; busy : std_ulogic; al : std_ulogic; tip : std_ulogic; ifl : std_ulogic; end record; -- Core registers type i2c_reg_type is record -- i2c registers prer : std_logic_vector(15 downto 0); -- clock prescale register ctrl : ctrl_reg_type; -- control register txr : std_logic_vector(7 downto 0); -- transmit register cmd : cmd_reg_type; -- command register sts : sts_reg_type; -- status register filt : std_logic_vector((filter-1)*dynfilt downto 0); -- filter register -- irq : std_ulogic; end record; -- Signals to and from byte controller block signal rxr : std_logic_vector(7 downto 0); -- Receive register signal done : std_logic; -- Signals completion of command signal rxack : std_logic; -- Received acknowledge signal busy : std_logic; -- I2C core busy signal al : std_logic; -- Aribitration lost signal irst : std_ulogic; -- Internal, negated reset signal signal iscloen : std_ulogic; -- Internal SCL output enable signal isdaoen : std_ulogic; -- Internal SDA output enable -- Register interface signal r, rin : i2c_reg_type; signal vcc : std_logic; begin -- Byte Controller from OpenCores I2C master, -- by Richard Herveille (richard@asics.ws). The asynchronous -- reset is tied to '1'. Only the synchronous reset is used. vcc <= '1'; byte_ctrl: i2c_master_byte_ctrl generic map ( filter => filter, dynfilt => dynfilt) port map ( clk => clk, rst => irst, nReset => vcc, ena => r.ctrl.en, clk_cnt => r.prer, start => r.cmd.sta, stop => r.cmd.sto, read => r.cmd.rd, write => r.cmd.wr, ack_in => r.cmd.ack, din => r.txr, filt => r.filt, cmd_ack => done, ack_out => rxack, i2c_busy => busy, i2c_al => al, dout => rxr, scl_i => i2ci.scl, scl_o => i2co.scl, scl_oen => iscloen, sda_i => i2ci.sda, sda_o => i2co.sda, sda_oen => isdaoen); -- OC I2C logic has active high reset. irst <= not rstn; i2co.enable <= r.ctrl.en; -- Fix output enable polarity soepol0: if oepol = 0 generate i2co.scloen <= iscloen; i2co.sdaoen <= isdaoen; end generate soepol0; soepol1: if oepol /= 0 generate i2co.scloen <= not iscloen; i2co.sdaoen <= not isdaoen; end generate soepol1; comb: process (r, rstn, rxr, rxack, busy, al, done, apbi) variable v : i2c_reg_type; variable irq : std_logic_vector((NAHBIRQ-1) downto 0); variable apbaddr : std_logic_vector(7 downto 2); variable apbout : std_logic_vector(31 downto 0); begin -- process comb v := r; v.irq := '0'; irq := (others=>'0'); irq(pirq) := r.irq; apbaddr := apbi.paddr(7 downto 2); apbout := (others => '0'); -- Command done or arbitration lost, clear command register if (done or al) = '1' then v.cmd := ('0', '0', '0', '0', '0'); end if; -- Update status register v.sts := (rxack => rxack, busy => busy, al => al or (r.sts.al and not r.cmd.sta), tip => r.cmd.rd or r.cmd.wr or r.cmd.sto, ifl => done or al or r.sts.ifl); v.irq := (done or al) and r.ctrl.ien; -- read registers if (apbi.psel(pindex) and apbi.penable and (not apbi.pwrite)) = '1' then case apbaddr is when PRER_addr => apbout(15 downto 0) := r.prer; when CTR_addr => apbout(7 downto 6) := r.ctrl.en & r.ctrl.ien; when RXR_addr => apbout(7 downto 0) := rxr; when SR_addr => apbout(7 downto 5) := r.sts.rxack & r.sts.busy & r.sts.al; apbout(1 downto 0) := r.sts.tip & r.sts.ifl; when FR_addr => if dynfilt /= 0 then apbout(r.filt'range) := r.filt; end if; when others => null; end case; end if; -- write registers if (apbi.psel(pindex) and apbi.penable and apbi.pwrite) = '1' then case apbaddr is when PRER_addr => v.prer := apbi.pwdata(15 downto 0); when CTR_addr => v.ctrl.en := apbi.pwdata(7); v.ctrl.ien := apbi.pwdata(6); when TXR_addr => v.txr := apbi.pwdata(7 downto 0); when CR_addr => -- Check that core is enabled and that WR and RD has been cleared -- before accepting new command. if (r.ctrl.en and not (r.cmd.wr or r.cmd.rd)) = '1' then v.cmd.sta := apbi.pwdata(7); v.cmd.sto := apbi.pwdata(6); v.cmd.rd := apbi.pwdata(5); v.cmd.wr := apbi.pwdata(4); v.cmd.ack := apbi.pwdata(3); end if; -- Bit 0 of CR is interrupt acknowledge. The core will only pulse one -- interrupt per irq event. Software does not have to clear the -- interrupt flag... if apbi.pwdata(0) = '1' then v.sts.ifl := '0'; end if; when FR_addr => if dynfilt /= 0 then v.filt := apbi.pwdata(r.filt'range); end if; when others => null; end case; end if; if rstn = '0' then v.prer := (others => '1'); v.ctrl := ('0', '0'); v.txr := (others => '0'); v.cmd := ('0','0','0','0', '0'); v.sts := ('0','0','0','0', '0'); if dynfilt /= 0 then v.filt := (others => '1'); end if; end if; if dynfilt = 0 then v.filt := (others => '0'); end if; -- Update registers rin <= v; -- Update outputs apbo.prdata <= apbout; apbo.pirq <= irq; apbo.pconfig <= PCONFIG; apbo.pindex <= pindex; end process comb; reg: process (clk) begin -- process reg if rising_edge(clk) then r <= rin; end if; end process reg; -- Boot message -- pragma translate_off bootmsg : report_version generic map ( "i2cmst" & tost(pindex) & ": AMBA Wrapper for OC I2C-master rev " & tost(I2CMST_REV) & ", irq " & tost(pirq)); -- pragma translate_on end architecture rtl;
--============================================================================== -- CERN (BE-CO-HT) -- I2C slave core --============================================================================== -- -- author: Theodor Stana (t.stana@cern.ch) -- -- date of creation: 2013-03-13 -- -- version: 1.0 -- -- description: -- -- Simple I2C slave interface, providing the basic low-level functionality -- of the I2C protocol. -- -- The gc_i2c_slave module waits for a master to initiate a transfer via -- a start condition. The address is sent next and if the address matches -- the slave address set via the i2c_addr_i input, the addr_good_p_o output -- is set. Based on the eighth bit of the first I2C transfer byte, the module -- then starts shifting in or out each byte in the transfer, setting the -- r/w_done_p_o output after each received/sent byte. -- -- For master write (slave read) transfers, the received byte can be read at -- the rx_byte_o output when the r_done_p_o pin is high. For master read (slave -- write) transfers, the slave sends the byte at the tx_byte_i input, which -- should be set when the w_done_p_o output is high, either after I2C address -- reception, or a successful send of a previous byte. -- -- dependencies: -- OHWR general-cores library -- -- references: -- [1] The I2C bus specification, version 2.1, NXP Semiconductor, Jan. 2000 -- http://www.nxp.com/documents/other/39340011.pdf -- --============================================================================== -- GNU LESSER GENERAL PUBLIC LICENSE --============================================================================== -- This source file is free software; you can redistribute it and/or modify it -- under the terms of the GNU Lesser General Public License as published by the -- Free Software Foundation; either version 2.1 of the License, or (at your -- option) any later version. This source is distributed in the hope that it -- will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty -- of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. -- See the GNU Lesser General Public License for more details. You should have -- received a copy of the GNU Lesser General Public License along with this -- source; if not, download it from http://www.gnu.org/licenses/lgpl-2.1.html --============================================================================== -- last changes: -- 2013-03-13 Theodor Stana File created -- 2013-11-22 Theodor Stana Changed to sampling SDA on SCL rising edge --============================================================================== -- TODO: -- - Stop condition --============================================================================== library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; use work.gencores_pkg.all; entity gc_i2c_slave is generic ( -- Length of glitch filter -- 0 - SCL and SDA lines are passed only through synchronizer -- 1 - one clk_i glitches filtered -- 2 - two clk_i glitches filtered g_gf_len : natural := 0 ); port ( -- Clock, reset ports clk_i : in std_logic; rst_n_i : in std_logic; -- I2C lines scl_i : in std_logic; scl_o : out std_logic; scl_en_o : out std_logic; sda_i : in std_logic; sda_o : out std_logic; sda_en_o : out std_logic; -- Slave address i2c_addr_i : in std_logic_vector(6 downto 0); -- ACK input, should be set after done_p_o = '1' -- (note that the bit is reversed wrt I2C ACK bit) -- '1' - ACK -- '0' - NACK ack_i : in std_logic; -- Byte to send, should be loaded while done_p_o = '1' tx_byte_i : in std_logic_vector(7 downto 0); -- Received byte, valid after done_p_o = '1' rx_byte_o : out std_logic_vector(7 downto 0); -- Pulse outputs signaling various I2C actions -- Start and stop conditions i2c_sta_p_o : out std_logic; i2c_sto_p_o : out std_logic; -- Received address corresponds i2c_addr_i addr_good_p_o : out std_logic; -- Read and write done r_done_p_o : out std_logic; w_done_p_o : out std_logic; -- I2C bus operation, set after address detection -- '0' - write -- '1' - read op_o : out std_logic ); end entity gc_i2c_slave; architecture behav of gc_i2c_slave is --============================================================================ -- Type declarations --============================================================================ type t_state is ( IDLE, -- idle ADDR, -- shift in I2C address bits ADDR_ACK, -- ACK/NACK to I2C address RD, -- shift in byte to read RD_ACK, -- ACK/NACK to received byte WR_LOAD_TXSR, -- load byte to send via I2C WR, -- shift out byte WR_ACK -- get ACK/NACK from master ); --============================================================================ -- Signal declarations --============================================================================ -- Deglitched signals and delays for SCL and SDA lines signal scl_synced : std_logic; signal scl_deglitched : std_logic; signal scl_deglitched_d0 : std_logic; signal sda_synced : std_logic; signal sda_deglitched : std_logic; signal sda_deglitched_d0 : std_logic; signal scl_r_edge_p : std_logic; signal scl_f_edge_p : std_logic; signal sda_f_edge_p : std_logic; signal sda_r_edge_p : std_logic; -- FSM signals signal state : t_state; signal inhibit : std_logic; -- RX and TX shift registers signal txsr : std_logic_vector(7 downto 0); signal rxsr : std_logic_vector(7 downto 0); -- Bit counter on RX & TX signal bit_cnt : unsigned(2 downto 0); -- Start and stop condition pulse signals signal sta_p, sto_p : std_logic; -- Master ACKed after it has read a byte from the slave signal mst_acked : std_logic; --============================================================================== -- architecture begin --============================================================================== begin --============================================================================ -- I/O logic --============================================================================ -- No clock stretching implemented, always disable SCL line scl_o <= '0'; scl_en_o <= '0'; -- SDA line driven low; SDA_EN line controls when the tristate buffer is enabled sda_o <= '0'; -- Assign RX byte output rx_byte_o <= rxsr; --============================================================================ -- Deglitching logic --============================================================================ -- First, synchronize the SCL signal in the clk_i domain cmp_sync_scl : gc_sync_ffs generic map ( g_sync_edge => "positive" ) port map ( clk_i => clk_i, rst_n_i => rst_n_i, data_i => scl_i, synced_o => scl_synced ); -- Generate deglitched SCL signal cmp_scl_deglitch : gc_glitch_filt generic map ( g_len => g_gf_len ) port map ( clk_i => clk_i, rst_n_i => rst_n_i, dat_i => scl_synced, dat_o => scl_deglitched ); -- and create a delayed version of this signal, together with one-tick-long -- falling-edge detection signal p_scl_degl_d0 : process(clk_i) is begin if rising_edge(clk_i) then if (rst_n_i = '0') then scl_deglitched_d0 <= '0'; scl_f_edge_p <= '0'; scl_r_edge_p <= '0'; else scl_deglitched_d0 <= scl_deglitched; scl_f_edge_p <= (not scl_deglitched) and scl_deglitched_d0; scl_r_edge_p <= scl_deglitched and (not scl_deglitched_d0); end if; end if; end process p_scl_degl_d0; -- Synchronize SDA signal in clk_i domain cmp_sda_sync : gc_sync_ffs generic map ( g_sync_edge => "positive" ) port map ( clk_i => clk_i, rst_n_i => rst_n_i, data_i => sda_i, synced_o => sda_synced ); -- Generate deglitched SDA signal cmp_sda_deglitch : gc_glitch_filt generic map ( g_len => g_gf_len ) port map ( clk_i => clk_i, rst_n_i => rst_n_i, dat_i => sda_synced, dat_o => sda_deglitched ); -- and create a delayed version of this signal, together with one-tick-long -- falling- and rising-edge detection signals p_sda_deglitched_d0 : process(clk_i) is begin if rising_edge(clk_i) then if (rst_n_i = '0') then sda_deglitched_d0 <= '0'; sda_f_edge_p <= '0'; sda_r_edge_p <= '0'; else sda_deglitched_d0 <= sda_deglitched; sda_f_edge_p <= (not sda_deglitched) and sda_deglitched_d0; sda_r_edge_p <= sda_deglitched and (not sda_deglitched_d0); end if; end if; end process p_sda_deglitched_d0; --============================================================================ -- Start and stop condition outputs --============================================================================ -- First the process to set the start and stop conditions as per I2C standard p_sta_sto : process (clk_i) is begin if rising_edge(clk_i) then if (rst_n_i = '0') then sta_p <= '0'; sto_p <= '0'; else sta_p <= sda_f_edge_p and scl_deglitched; sto_p <= sda_r_edge_p and scl_deglitched; end if; end if; end process p_sta_sto; -- Finally, set the outputs i2c_sta_p_o <= sta_p; i2c_sto_p_o <= sto_p; --============================================================================ -- FSM logic --============================================================================ p_fsm: process (clk_i) is begin if rising_edge(clk_i) then if (rst_n_i = '0') then state <= IDLE; inhibit <= '0'; bit_cnt <= (others => '0'); rxsr <= (others => '0'); txsr <= (others => '0'); mst_acked <= '0'; sda_en_o <= '0'; r_done_p_o <= '0'; w_done_p_o <= '0'; addr_good_p_o <= '0'; op_o <= '0'; -- start and stop conditions are followed by I2C address, so any byte -- following would be an address byte; therefore, it is safe to deinhibit -- the FSM elsif (sta_p = '1') or (sto_p = '1') then state <= IDLE; inhibit <= '0'; -- state machine logic else case state is --------------------------------------------------------------------- -- IDLE --------------------------------------------------------------------- when IDLE => -- clear outputs and bit counter bit_cnt <= (others => '0'); sda_en_o <= '0'; mst_acked <= '0'; r_done_p_o <= '0'; w_done_p_o <= '0'; addr_good_p_o <= '0'; if (scl_f_edge_p = '1') and (inhibit = '0') then state <= ADDR; end if; --------------------------------------------------------------------- -- ADDR --------------------------------------------------------------------- when ADDR => -- Shifting in is done on rising edge of SCL if (scl_r_edge_p = '1') then rxsr <= rxsr(6 downto 0) & sda_deglitched; bit_cnt <= bit_cnt + 1; end if; -- -- Checking the bit counter is done on the falling edge of SCL -- -- If 8 bits have been shifted in, the received address is checked -- and the slave goes in the ADDR_ACK state. -- -- If the address is not ours, go back to IDLE and set inhibit bits -- so bytes sent to or received from another slave that happen to -- coincide to the address of this slave don't get interpreted -- as accesses to this slave. -- if (scl_f_edge_p = '1') then if (bit_cnt = 0) then if (rxsr(7 downto 1) = i2c_addr_i) then op_o <= rxsr(0); addr_good_p_o <= '1'; state <= ADDR_ACK; else inhibit <= '1'; state <= IDLE; end if; end if; end if; --------------------------------------------------------------------- -- ADDR_ACK --------------------------------------------------------------------- when ADDR_ACK => -- clear addr_good pulse addr_good_p_o <= '0'; -- send ACK from input, check the ACK on falling edge and go to -- loading of the TXSR if the OP bit is a write, or read otherwise sda_en_o <= ack_i; if (scl_f_edge_p = '1') then if (ack_i = '1') then if (rxsr(0) = '0') then state <= RD; else state <= WR_LOAD_TXSR; end if; else state <= IDLE; end if; end if; --------------------------------------------------------------------- -- RD --------------------------------------------------------------------- -- Shift in bits sent by the master --------------------------------------------------------------------- when RD => -- not controlling SDA, clear enable signal sda_en_o <= '0'; -- shift in on rising-edge if (scl_r_edge_p = '1') then rxsr <= rxsr(6 downto 0) & sda_deglitched; bit_cnt <= bit_cnt + 1; end if; if (scl_f_edge_p = '1') then -- Received 8 bits, go to RD_ACK and signal external module if (bit_cnt = 0) then state <= RD_ACK; r_done_p_o <= '1'; end if; end if; --------------------------------------------------------------------- -- RD_ACK --------------------------------------------------------------------- when RD_ACK => -- Clear done pulse r_done_p_o <= '0'; -- we write the ACK bit, so control sda_en_o signal to send ACK/NACK sda_en_o <= ack_i; -- based on the ACK received by external command, we read the next -- bit (ACK) or go back to idle state (NACK) if (scl_f_edge_p = '1') then if (ack_i = '1') then state <= RD; else state <= IDLE; end if; end if; --------------------------------------------------------------------- -- WR_LOAD_TXSR --------------------------------------------------------------------- when WR_LOAD_TXSR => txsr <= tx_byte_i; state <= WR; --------------------------------------------------------------------- -- WR --------------------------------------------------------------------- when WR => -- slave writes, SDA output enable is the negated value of the bit -- to send (since on I2C, '1' is a release of the bus) sda_en_o <= not txsr(7); -- increment bit counter on rising edge if (scl_r_edge_p = '1') then bit_cnt <= bit_cnt + 1; end if; -- Shift TXSR on falling edge of SCL if (scl_f_edge_p = '1') then txsr <= txsr(6 downto 0) & '0'; -- Eight bits sent, disable SDA and go to WR_ACK if (bit_cnt = 0) then state <= WR_ACK; w_done_p_o <= '1'; end if; end if; --------------------------------------------------------------------- -- WR_ACK --------------------------------------------------------------------- when WR_ACK => -- master controls SDA, clear sda_en_o sda_en_o <= '0'; -- clear done pulse w_done_p_o <= '0'; -- sample in ACK from master on rising edge if (scl_r_edge_p = '1') then if (sda_deglitched = '0') then mst_acked <= '1'; else mst_acked <= '0'; end if; end if; -- and check it on falling edge if (scl_f_edge_p = '1') then if (mst_acked = '1') then state <= WR_LOAD_TXSR; else state <= IDLE; end if; end if; --------------------------------------------------------------------- -- Any other state: go back to IDLE --------------------------------------------------------------------- when others => state <= IDLE; end case; end if; end if; end process p_fsm; end architecture behav; --============================================================================== -- architecture end --==============================================================================
library IEEE; use IEEE.STD_LOGIC_1164.all; use IEEE.NUMERIC_STD.all; entity memory_mapped_reset is generic ( REGISTER_SIZE : integer := 32; ADDR_WIDTH : integer := 2 ); port ( clk : in std_logic; reset : in std_logic; avm_address : in std_logic_vector(ADDR_WIDTH-1 downto 0); avm_read : in std_logic; avm_readdata : out std_logic_vector(REGISTER_SIZE-1 downto 0); avm_readdatavalid : out std_logic; avm_write : in std_logic; avm_writedata : in std_logic_vector(REGISTER_SIZE-1 downto 0); reset_out : out std_logic ); end entity memory_mapped_reset; architecture rtl of memory_mapped_reset is signal reset_out_reg : std_logic; begin process(clk) begin if rising_edge(clk) then avm_readdatavalid <= '0'; -- reset_out is registered to prevent meta-stability. reset_out <= reset_out_reg; if reset = '1' then reset_out <= '0'; reset_out_reg <= '0'; else if avm_address = std_logic_vector(to_unsigned(0, ADDR_WIDTH)) then if avm_write = '1' then reset_out_reg <= avm_writedata(0); end if; if avm_read = '1' then avm_readdata <= (0 => reset_out_reg, others => '0'); avm_readdatavalid <= '1'; end if; end if; end if; end if; end process; end architecture;
library IEEE; use IEEE.std_logic_1164.all; Use IEEE.std_logic_unsigned.all; use ieee.numeric_std.all; entity pia8255 is port ( -- uC interface clk : in std_logic; clken : in std_logic; reset : in std_logic; a : in std_logic_vector(1 downto 0); d_i : in std_logic_vector(7 downto 0); d_o : out std_logic_vector(7 downto 0); cs : in std_logic; rd : in std_logic; wr : in std_logic; -- I/O interface pa_i : in std_logic_vector(7 downto 0); pb_i : in std_logic_vector(7 downto 0); pc_i : in std_logic_vector(7 downto 0); pa_o : out std_logic_vector(7 downto 0); pb_o : out std_logic_vector(7 downto 0); pc_o : out std_logic_vector(7 downto 0) ); end pia8255; architecture SYN of pia8255 is type byte_vector is array (natural range <>) of std_logic_vector(7 downto 0); signal ctrl : std_logic_vector(7 downto 0); signal pa_oen : std_logic; signal pb_oen : std_logic; signal pcl_oen : std_logic; signal pch_oen : std_logic; signal pa_d : std_logic_vector(7 downto 0); signal pb_d : std_logic_vector(7 downto 0); signal pc_d : std_logic_vector(7 downto 0); begin pa_o <= pa_d when (reset = '0' and pa_oen = '1') else X"FF"; pb_o <= pb_d when (reset = '0' and pb_oen = '1') else X"FF"; pc_o(7 downto 4) <= pc_d(7 downto 4) when (reset = '0' and pch_oen = '1') else X"F"; pc_o(3 downto 0) <= pc_d(3 downto 0) when (reset = '0' and pcl_oen = '1') else X"F"; -- Synchronous logic process(clk, reset) variable ctrl_r : std_logic_vector(7 downto 0); variable csel : integer; begin pa_oen <= not ctrl_r(4); pb_oen <= not ctrl_r(1); pcl_oen <= not ctrl_r(0); pch_oen <= not ctrl_r(3); ctrl <= ctrl_r; -- Reset values if reset = '1' then ctrl_r := X"9B"; pa_d <= X"00"; pb_d <= X"00"; pc_d <= X"00"; -- Handle register writes elsif rising_edge(clk) and clken = '1' and cs = '1' and wr = '1' then if a = "00" then pa_d <= d_i; end if; if a = "01" then pb_d <= d_i; end if; if a = "10" then pc_d <= d_i; end if; if a = "11" then -- D7=1, write control if d_i(7) = '1' then ctrl_r := d_i; pa_d <= X"00"; pb_d <= X"00"; pc_d <= X"00"; -- D7=0, write C bit else csel := conv_integer(d_i(3 downto 1)); pc_d(csel) <= d_i(0); end if; end if; end if; end process; -- Data out mux process(a, cs, rd) variable data_out : std_logic_vector(7 downto 0); begin if cs = '1' and rd = '1' then case a is when "00" => data_out := pa_i; when "01" => data_out := pb_i; when "10" => data_out := pc_i; when "11" => data_out := ctrl; when others => data_out := (others => 'X'); end case; else data_out := (others => 'X'); end if; d_o <= data_out; end process; end SYN; library IEEE; use IEEE.std_logic_1164.all; Use IEEE.std_logic_unsigned.all; use ieee.numeric_std.all; entity pia8255_n is port ( -- uC interface clk : in std_logic; clken : in std_logic; reset : in std_logic; a : in std_logic_vector(1 downto 0); d_i : in std_logic_vector(7 downto 0); d_o : out std_logic_vector(7 downto 0); cs_n : in std_logic; rd_n : in std_logic; wr_n : in std_logic; -- I/O interface pa_i : in std_logic_vector(7 downto 0); pb_i : in std_logic_vector(7 downto 0); pc_i : in std_logic_vector(7 downto 0); pa_o : out std_logic_vector(7 downto 0); pb_o : out std_logic_vector(7 downto 0); pc_o : out std_logic_vector(7 downto 0) ); end pia8255_n; architecture SYN of pia8255_n is signal cs : std_logic; signal rd : std_logic; signal wr : std_logic; begin cs <= not cs_n; rd <= not rd_n; wr <= not wr_n; pia_inst : entity work.pia8255 port map ( -- uC interface clk => clk, clken => clken, reset => reset, a => a, d_i => d_i, d_o => d_o, cs => cs, rd => rd, wr => wr, -- I/O interface pa_i => pa_i, pb_i => pb_i, pc_i => pc_i, pa_o => pa_o, pb_o => pb_o, pc_o => pc_o ); end SYN;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1029.vhd,v 1.2 2001-10-26 16:29:38 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c06s04b00x00p02n01i01029ent IS type THREE is range 1 to 3; type A1 is array (THREE) of BOOLEAN; type A2 is array (THREE, THREE) of BOOLEAN; type A3 is array (THREE) of A1; type R1 is record RE1: A1; end record; type R2 is record RE2: A2; end record; type R3 is record RE3: A3; end record; END c06s04b00x00p02n01i01029ent; ARCHITECTURE c06s04b00x00p02n01i01029arch OF c06s04b00x00p02n01i01029ent IS BEGIN TESTING: PROCESS variable V: BOOLEAN; variable V1: R1 ; -- := (RE1=>(others=>TRUE)); variable V2: R2 ; -- := (RE2=>(others=>(others=>TRUE))); variable V3: R3 ; -- := (RE3=>(others=>(others=>TRUE))); BEGIN V := V2.RE2(2, 3); assert NOT( V=false ) report "***PASSED TEST: c06s04b00x00p02n01i01029" severity NOTE; assert ( V=false ) report "***FAILED TEST: c06s04b00x00p02n01i01029 - The prefix of an indexed name can be a selected name." severity ERROR; wait; END PROCESS TESTING; END c06s04b00x00p02n01i01029arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1029.vhd,v 1.2 2001-10-26 16:29:38 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c06s04b00x00p02n01i01029ent IS type THREE is range 1 to 3; type A1 is array (THREE) of BOOLEAN; type A2 is array (THREE, THREE) of BOOLEAN; type A3 is array (THREE) of A1; type R1 is record RE1: A1; end record; type R2 is record RE2: A2; end record; type R3 is record RE3: A3; end record; END c06s04b00x00p02n01i01029ent; ARCHITECTURE c06s04b00x00p02n01i01029arch OF c06s04b00x00p02n01i01029ent IS BEGIN TESTING: PROCESS variable V: BOOLEAN; variable V1: R1 ; -- := (RE1=>(others=>TRUE)); variable V2: R2 ; -- := (RE2=>(others=>(others=>TRUE))); variable V3: R3 ; -- := (RE3=>(others=>(others=>TRUE))); BEGIN V := V2.RE2(2, 3); assert NOT( V=false ) report "***PASSED TEST: c06s04b00x00p02n01i01029" severity NOTE; assert ( V=false ) report "***FAILED TEST: c06s04b00x00p02n01i01029 - The prefix of an indexed name can be a selected name." severity ERROR; wait; END PROCESS TESTING; END c06s04b00x00p02n01i01029arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1029.vhd,v 1.2 2001-10-26 16:29:38 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c06s04b00x00p02n01i01029ent IS type THREE is range 1 to 3; type A1 is array (THREE) of BOOLEAN; type A2 is array (THREE, THREE) of BOOLEAN; type A3 is array (THREE) of A1; type R1 is record RE1: A1; end record; type R2 is record RE2: A2; end record; type R3 is record RE3: A3; end record; END c06s04b00x00p02n01i01029ent; ARCHITECTURE c06s04b00x00p02n01i01029arch OF c06s04b00x00p02n01i01029ent IS BEGIN TESTING: PROCESS variable V: BOOLEAN; variable V1: R1 ; -- := (RE1=>(others=>TRUE)); variable V2: R2 ; -- := (RE2=>(others=>(others=>TRUE))); variable V3: R3 ; -- := (RE3=>(others=>(others=>TRUE))); BEGIN V := V2.RE2(2, 3); assert NOT( V=false ) report "***PASSED TEST: c06s04b00x00p02n01i01029" severity NOTE; assert ( V=false ) report "***FAILED TEST: c06s04b00x00p02n01i01029 - The prefix of an indexed name can be a selected name." severity ERROR; wait; END PROCESS TESTING; END c06s04b00x00p02n01i01029arch;
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
`protect begin_protected `protect version = 1 `protect encrypt_agent = "XILINX" `protect encrypt_agent_info = "Xilinx Encryption Tool 2013" `protect key_keyowner = "Cadence Design Systems.", key_keyname= "cds_rsa_key", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 64) `protect key_block A6au5L3MHh4r3tmQ+4TTQlVjyx3MnSewg99PRugv+yc+wOdbRB+3+zGSoCfkLB7cW6nLVkDREIXZ 5cleA8F0KA== `protect key_keyowner = "Mentor Graphics Corporation", key_keyname= "MGC-VERIF-SIM-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block nJCd/v1KqN+rJpE6i+KFoO4IpIfWr/u9eIWIMxjINkJoBAYnzLNzH33QqFB3oYkBGkQ6GKjcyFiP kOG+DwZlH5slvx8cUnnCFxBSYCfwW2jtV1J3V9vSNhcB5wnG93om3pEiXzPSkQA9AWUPvosRQFXL MBajEjmNzmHsp8I3xlc= `protect key_keyowner = "Xilinx", key_keyname= "xilinx_2013_09", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block aUYWOnehj7Q+EUgMRLVkJ/BFjuG/qegB+KcEZcXs6nIw+9NkMMYHHsDHp3UjM5xqbxBncd1PyLb9 mCZUsxC6pSSYqVD2Mx4JnwXcZh3iQa6GGrvB2V83J7oqEUlIjD4HtRi29T5NcCMceo4VR8ubI8oe Euoe+rWdsKY8TSSeLk9wvZI5YudbcjWzXilm8y1vVHJIBSbz3CJPZyYz11Hq3FLxXif3S+8ldt/u QHazHs/JE1EK/p2wkY8QrFYZ3NAcwWweP9o//NPscWmFD37pG+jSflNB3sqO51pQVyiEpJb0UkZc 3EcBkDzWpxrMCP48CA54sjrdEBbrERIzpVE4lA== `protect key_keyowner = "Synopsys", key_keyname= "SNPS-VCS-RSA-1", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 128) `protect key_block KTDTJv+i+DIMU0DczzjZ+CkxR5yjM72D+vx8FxGcwJT60uV656bud1wye18J8p0QyNUO/1IXzawN hYzgtRtMur6BetvAphgoDXE6LGeWDw9yQAHLBBAyDlB/Pkc97WYnQpciEj845BYO5p0mxMXJOA6q ZGAnZkTgtYXcqEc4PS4= `protect key_keyowner = "Aldec", key_keyname= "ALDEC08_001", key_method = "rsa" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 256) `protect key_block oh9RkVUp+DlbPw2for/sBAbo3JjiMyyJHdFHCY2uhr6+6pjILEOMrVMEl5N3LW3M/5xyvaQjjBnV 246xnFgk4v3jmU3S+C9713yYzWZr7ilyA9t6qQj1JBK5qFIQCEuHizUBf/gTRgJYQ9Px8zaPZ+s7 pZgjWBXYrxHYk8CpztwcwBPItWS/Evt9NsBSRK7wNyv2pxNtaGBYyxblxh2TXtSXhJBexPrAwo4l nLy3dcy8riw/w54ORRE4AuBIuW52W8hrsetdJ234a1lFcuskgLPwesj4kuCx8bJKzB0sOs/Fhymw slmV9uRb0F05HNeisQBWrHjZRODwKK7rQ0bQDA== `protect data_method = "AES128-CBC" `protect encoding = (enctype = "BASE64", line_length = 76, bytes = 8496) `protect data_block 3o/je7GLdKwptLVjz4r3njrRVQOUbuQky4zqoR3KcLeSCmJvq2DiuRUXQ33yzUaxb71tfQG4XYnm OxA4R9zEZ7NczJcex3tQkjC9t/yAYOMyKWA1SH6z5QiUUjW3jqyPnXgWK2ux/RP0TkwPs+qniGa4 QJT4C5FVcNlBKv3rWl+/RQllQNlaRWuOY5Y14F9Jyr5mpI+LbdJHy7OTFvIrR/xoOQ9KKHzxluyj N+IbVpDjwrRoDtgmsoo/+BPQkCFP6sdqHFC/ah3r/FUTmSbdJQA+JfrYvc3uH5r+jrQolCuj1T5D yEJZaguDxRTuhjWL6bhrpRtz95KYGBBFpwxvNDHX0tB8jaXQnGOgCBYYissvKEIoSvCai5YNxfh/ 70XheEk5p5c9C8zocbfaOaUMwdtL+vxdX+uAa8I6FXsp139nK/Hm+PleHmfQuRemB01RVoK6V5Oo +blRmyr5ep1rzNE0G4AgSGCbPLXfchhG8vf6OGWlT/mtSZlC/vKkdwA8W43cpGfz3bMcCpBUM2F5 xIJaSVOF/zIyYO8izjOhim//ofWM3WQcfvYjMwRoODtNsUj3p/tuLoHjg+yIaYqUe3GhS/wRrG0N P4u1HjvJP1cORw33K68e1PQJLw3fywj+RxKZ2N/cOSw6O5M7m4VyaXMmtF7lCcQZMHXY2b94pLAY CVRPzSWjXJb9wn9oglIgTYwa1TRslq9jc4EfYljhjAj8walNzVZqTjxE78wTijhwCW4gm4HAJnor xDXuVNoiKP3Mj0KcmVuSrXWvTXiohAhySUKER5MeohrNkKsTqbU4Ow0DGp9iav6dXso7cSTUO4Sd YC5KGlxN70TCg2dF63TpKB4A1dgVyOHq1+8DMB3VWw+WSprIT0RW01efrPr4NV5r4L9RsEGCxVar 9cKVQOZarUOIqNIM72Ug5agVswhMbnCOv7oPvQf64+ofg+gK4UAYnqU9eAQ31fSytu6WxpS8eMtr 6ESDRbs6gYSVp7btSlHNr9dl7+SrSiD1hlfmTdJYW/0Au75jB57I8uv7qD/bIVQh9+B8QgM3rvd5 C5YqYrBclzSeK81UVBttek64AbV9eeiGze7GH4+gLBcYm/XJVz+RH6AbB+u1aukIDNxwV7aIxdgj J09v28OwSe7+JIok6H2l/sNO06g+lwDCdvOIxgDmwODqmCLI3fxfkiCGC2uKYHe1a1Y1GHqhGJ/8 2/qs+ouzR4oRtvueU9pn1x0QU9be1r7IsVIDm2jHay4og4c7Jx1ib7yeVJ0rnU4+p8xvGqbwnqjq vU9JdZt5WdjjZN0a32xul03kgv1G3Jsr7ye6p5863u2vHwE89gOHp8Zxdft0vT2+vJn16pvn4X5x sQM+PZa922VU4hi+LxlOcWsYZUNckvRg3kU8ioHtKSB4q3RVfKLGPCf5KdK+EtpUB1EqcwsZ2XkI uIVWXDDiqA7/dfTfuana8xy+dRf28rrfw9D4gR/YFRXIh6+74uwRtNGCYF6JJ/y0QirtAr6CwPpj nSy9dtJ2hDz1Qb5wKeUu7JXy/g8zINUzdp4vDdLDWWsES6hFu1cR7mN2bepyVabPu6VPCwAhAGxC SNPhJE9m1bA0aHt/wwQc8jwEcpIZDAb4NH0gS7yRI5ZJOXIUr3G2GBQbRq2AAssp7Oo8NSTI8BzI qCYhx0V88QQk5nEVOpxC2lH+JZX/QpbzuFRA7DDmD9iXMS13tK/wXMY1d/vDfpp+X2fWhmhxfSfO R+k6mnYUFNobyJkFYxP/QiYxdWB8Ig16/7ghj770dd8tcWdKWo/B0QqtpNsf6gnsTT0XtsJP+D25 /dTbkCQmnflvCOKDNwNGdt7xMO8ScsvEz6XKrwMWU31ao6DybgbNzrxfHDYV76/iF9zdoBg6+vaQ 6ga6RG0w1hV7HwWaqz2dB7BOvatGGqjIx+FBFE+no0mDTGQ08Jery7eZTuxQ5rjLf44VUEdCwJJ6 /kPJwr3+asBqmPBw87PRJWmLF+u7NYkNe1S6a898mS4ON+BYiLABVN2UorG00cLYR+h9q9CUU2nn aDHCFJxP4yYlLMjwmNUoaQnkDfOJWAuA6JWK3FBk69+S+FhVQztJl9wRn8zdNI9qvY3XwWaurWjd HEKfSXyUbMy25vYNOYK3GlFOsetV/ih/x18wHM3X2SKY1uxJ9Nm5xdpog76fvmRT3chTz+bnBcOt 6iEB6uS8KTyRHyNeBLux6v7JeUyEl4tQ4uZ3bY4DW5AeSPaFSM3dyTrrlpFKwc+EasADTdYk7eTx 84Vm1/Lvr7WjpmFB803WTPYrK+bkUy9ObvunVI0MhOtZpaAoyBx0uZEWPCjBXCiKxQDsbBg7tMum a9A9AR9VM9WnfDLRCxMlouKHe0v29O5rnCyFaaPYfVN3kN6xdDojuevTV1rcxoSSO47R0vhQmv8W dpgPVxqVztT41spts+t09gdUvCZJh8TCq6hrJ8TJ5cZZ3svXD2D/vj80ZrA6sLHdOB2yJHV2CFLB lQN/anyOg+ZUQazEutaLJO62meWEz7fyL6kHM/bOBNrl1zAt+SmSyv4x9P86GtcrpUGTp48+f9Vx N6bZvbNLN1N8LEDC+RBx/5SoWZNFDI7ar/Ror8fiR5btdHXiSREbwNHQrren2sh/fzLbXqMiZ4Ub PKyHKfLgMRvSHCKw8dv71x6gHODWc73AyRhsbxUZwGpnL0/Y3k9cv1ydvwDoe3pMZ6VzB98zo3XB FKTt+fCo3yPSloeeu4FfnHuK78p6XPoyGi1oBAx4OehBW7X1WdDYFZmXOGntWS/sIc1dCnnd4Tq6 a08b8YPmK6iuJJAa3jh8/M/Wpdm2KVL20WvWW4h9vq2mivKjfzeJqvcIJTMCo0IRDi6ZCzDxoYs3 3PQG8ZTnIc4qJd81WzijYPikuQtWZ5D9EtFfKe/KgSVVc5XDboVO9KFuJUvNFJC3owSVZ9vKA5oZ rCCUn6R5Teaz5Z94C3WnX+nQeaY3hbgrc7sWry83i5/1kerEaqJT6Yqpgw+jo/8DauxoNcS3vQmN kAVpJca2/SIX3Mab3o69wUWytNASgOZ5BxrdXhqjZpqiro3Op7gccq0JjZcGvquV470NmLVUqSvA RRhlmiDwDRwwVOgsfkdk5rmD7u9CwwzPxzJ+FHi7+LDtd15Cg+2uqioJm2kHas4AFHyiwqspncDj tAUN5TwKQUuv2fKoe2oblYMB/TbX7nVcfKdQarRNTL+pUw/uuXJGDggcns0SZ3MNA1H2cX1A4/dh rcmh4K2Od4smarNh94nmsRVKryem/TueQhR1qPZc3K8Z66ihaY6HPh4kgevYzPTeU+BfFJo1PEyI /j8zytv/PNlcfLk+pFyS5cyRS4NABHfZH3pq4wE/bgmxXuCsC+/4lx9o4ziBFRFFLym08ihCpMwc X8XJuK1jF5fIjNe/GGeFJmCeBue4qksAXuacYe8QLLzR8yrUIB5g9SBxhUnSvGxuhRxz7Ae7+IFH ZArqlwvSlaDOK0QKHKkjMlngU33C5OD4TwKbM3S9ARRilHrVazwiH71b/hd0TlN4f2tMiQ+Bko3F lwaQOKuHyzOw81AELNMw1XLEHTm4bBGxMS0FHHGzJaQ5VXdeRa31Dw/vOCl9ij0Br9Vgx3Ho0bdh IcBbaUw2m4WnO0h/98lpYHt+/vL7WRBUabAMqo+nVslusGG4FraZWbdX+7U99y4N32bH98FTxhU0 4vqm0uc5isIYVAUnJCzEmthGf5qbaEOjdJELfGGE8aJSXdDzlT3SYQbxNCq12wHcBzm20kQ/tEFb N8JcDYhvyvAsce0SEdwleXnwdVRh/LlrJtbpzY0TRkjasho0Ad910vSxr6Iw+Wp7gWDEoi7chgp1 +OEnaq+8ERZyCjOp7/ARQiqKzb00slp6jO5a/kQkKyo4ZbgsodFi6TbjJbNJ72gmM9d+YHer6eVe 9ccaywsOXP0G6SLEJMSUDa6uRXdtonIhgCTa9hBleAA5AInCZknK6DIquxBGfvgmQZ7U69V4xKxX /P1+jUrHDwEH01jzbv95NRpC9iZpAO3xHic8Uw+QdkdCdQ/n48hvew1GUubv19bAYwXN5efwgL8s RUvBbe9sF5HfwRjjxuqmhiYGZi3xrCVu8B/xonj0ZH7aRIkqt+hsDuOFLGUIsVLLNeGv1unpwsiy Pw6B9nQ6W58bZ51QlC+TPfw+liMBBwQXoqd0wbpc2bBmmQ8ixxNf9eNf65I63WUCYUnMDUcZPAnj gXMhUZmG6CiKls/ukDXEVluW0RoTcRsePzaxIdJapkzjkw17Hc5j0V1NKzVq32SAFglOd5X/vu9L asRi2CcI6Q+9BOQzUKQJhHdgj8jdhydE4cp4RHoL1NC5AzsYxqIkss+Up9v6iYQMTX5locNOt11Z 9EEXMrryCZQCWYvqvt2E6nQEc2oSyTm9ouffCaZIAOv7xhhMkcrga4VuxznoSEoNM9rDKDixOzHP 8aS456RAa5yGIml3O9JJbofkqQzLdauqmfhXy0JZ54iK9K3hBVfiVxbWuBRa+F8X0/6J+ObUuBDw /9TiLOAzpI2D8GBEv0dB7XFPgpvF0il7VihwuxRQnUGxDlwXyapXdhc2qTuU4E/+c1cd22OUfkYc 7cbRZ4avKzFbQSaJJ6U2a8F8UCphRlJkmad+2gYsVe+zeTPuuj1mOy0bBeA+vb8IvLo7SLRbITg2 BFlQfqhvoyiTsipSBvn2BTeUqaYNCkG+n9mQkcPlQ4WUrzJt5l6aQ5B8UmPxFBInopFTJXri5zZs 9KIYryFAENU1jjHAG23hKI6Q12f8MaOZuaiW5RCnJw7KdW40gneG5jM154NrNUjjVZgMTDWn7w6N zj5cZfSzcQ740qWSDae3HboQxKLlzxus8rtnyuQ/r2F4zv7ujaBZlfN4rYEV5At2zteXZfh/MnZ4 PiH7IK05ZvX0wJehdR6CilL6tYaSaFP1P83jwZWSqjw4oPQgbWsB/M/ImPPg3qMzE7Rqon6bbuDe YKMyKm4XXueGxnme6POqX5f123od2J62dh9jJLHL8Hb8IOdYcrTq4OazvEBtKhSlKITrxprPv0B8 nub2Fr+NlsFtqNR85c6K2xrlYA51KAe0SH+kDG33FWYfgfzTomzrEvWtw7dpDOA/XMo/AQYd4Frf N88fTK6JQ77isy+PrGbIn+X+K/ptKWeTl1cC65PRJn4uyLutYOZ3gKI6fvDuM9KOFF0nidnRn80U GCcYyH+IQp4E81OnUxMtJLa6rzrlw5oeQ5Oy6MWzoTJJp3PiUacxOQ4zalID6CzyhHXVk98RXfrW TMsK+AfMXrTVYzhkjxQ/nmnPb/4X6KMElHfh4Cz2p6HBly/O2JYzYYhAgLsAvzAazIRejISB2p5k LYiLRcpOuZ+FWo+k7NfPey+/tGsnVLzm0gtv5CVbHEn1PUH2bDduGG+VYVaTm1r5MmxyYpzNJz1a IAOFc/cV7eoXwAx7M4XWxNjKd4wlvIwz9DnbWam4cbo1dnOzRsqGIhRiCQ1p4bkysrNL9++T36FX EQnKyxoGIXwD/kwiXsEWlXZ6GDdXtod5lYMkfHKEIE2YyzQPvtk86HtBPbIayq3LY6o86ZF+1gdq Q7UdbFByyhFQWnd3G+ZDsnyJRhw3PkWtbMQz9N1q77L46Jbxutpu3A8yUhmm7VDE6qTgv2ecWN5k PnvFtQvSk6S4chd76zlnSuEf//kVd7Ven+tksr8ydX28sMOE3Fh8XYIQkrZZcstRVx2XiredTqnK 5Mcn4FZiHkadpBko+IoMUu0+fPJPXEgmQbSqTqLvc2e8mBUsPBoueF+kc23CrU4vu6LNw/QjvOHX wbq+lBxeVigppTuM7nH+C/wsoubcD7oNM2ht+62/sVndSkrKUmsje5BmE9l/zJAqYoc8vnUoktwU f/fhjWApwrKrLrfSHDqrqcuHl+g0RZ8AY983Deq4PWQBcB1bp4TS6H/azyCBNJn+/rnk8eSrLJG5 eaITI+YhEGBCXn9btzL3E/A2CQJyb7rTI17a8it6fseglufDCNXpzHBARCotnexbJ+tzbBei6by0 kabJTETwvtod8btNxrGEm5dkEyls6zP3iK1wX4pq32plCDSD0wpVYukw8Xl0LAbSsSkrg9XW6/3I dex0zcRbx2CktM9HXZEqJSRXEJqRlCVWWO5TSoTl+wx3/X3h93pUjTk8hRcB1V/lIGlSNpaZXMnl 6pSKUGD/iZHqVvDex7d1mWPdCaf/Sg1a29IcPCGr7ayOkOxp7e0CY6LhiNcIHtn/tnUNSbT+Vwo2 MfXmQruQI5SKIoNyPvu4sMpqBTfusQ9A7lQeqefc3kyTvp9wPUvEYsEzu/j55ly1cbQVrPEk7MRI UNfc6nTz/0DojGfXnU3j/Fv1RKDZTas0qBkkkUA4DTtO9T4lQtUHS4ZbjCziTqZ4oZO6dnm1oJRm pdaswzyROT3InjRSF/rHdTyaNvb4kTr0QhWQqb01PRL485uKAGGvijsPOuztXQegqtkKmFIjxE7G 0AlYYTnt5nQiF0KruoURo1+bftZ9A5abMAUI1QNL9usthYZMDW1jW3sRBdJV3ho9/4IkV1ygWSid mAxto0rbVtJ3J4yCO+qjfe4vOfFccuxEnP/lMZTJ4puU1bd7E3C4wnIp5r/z+qkw7B5ib7Xw0cTA N2YVIeu7mxnn6L1BrAusYIm4my+3XR4sRKaTr3k+sOmCtYAHK8VUOyRT82MIu6SUAVD4AgEJhE+o E6E22YM8bOVY8xm/M1P0xnPT6nJ9OTKcl/K4f8euYX7iHkHGtVC6THIS2EH/gflQi7TJA67vBgee C53IAEE/XMqU5cSWw8L7AC6/ucNG+gcuefTKQ2s2xz0KfO76oqJW3/u+1f9AKNI4eC7Yc7rWoVLC oIrQF9wUx7I57NnLbby6XCY45yEmFgRAW4+8ofJR7IRm25Pdo7kk7vqYzNBbj7AoEEeVlbEB0HMh maw0bmjoUMM4DjlA3km7zAsPVRujw2GKSTsVwu0SfyT/XBZTNcSyDruhgFoqwP7bVZ1e1O4Ma75i 6Iq6s4g3T172pJb7Aid2bWBcAorZhxgAkO1VdXqZ3s+NpQ8nbPIF5uWculsiK0eIGx21SFqNjCLS Swxk5JNAFdj3z4cMI51Ir4RJPA26IVWaoVU/JeEJ2gug1PVHXBcZd3ibrkhVx89xqdSrLuwGFWoF cgiI3SVWXbsdx/bIa62ttiaS/gb0IkPbwI3FRBZla6+aNs657Izl8VHa+wjw8kDnH5L7nuQD3EwG R6wzN98+ReAtWX5jwrN2IcJmG8ItirJBi8gkG0PZAVyARGJOjCxSSuGHRw7nTZzvI3LX4RZLtkxL 4S8JENYtumMtFxLMDHSYUmu9te1QYFDmF59ioJFNrwn4VFEj4HmzPMLbjJKiteOKpS6VCyq4zlmV 2T2Bb5l5HzZFYGmMqCVoqW1+owBbk5CdZEiLMizVU8eHrNmDMlmNS8tezEk5sylWnygF8HN++Q8s /lTi/TV72JS6JLJo+ACYaV2T6tBoCFglQ1K1oWrP770WDBJPsqCc/faMPFMvZyeXe7iUAUPeZtIk rrId6yZWsOcBIFwjE/h1r5wltcqykjwFVWcykEloG5/er0kgBTC4VjOe3zD6Tztwut1xoSFRgGf+ p7ixEEbZqYSftbEKTansqnOqHeRV2iPqH+9+bcxXb/ISl8EU1oUsxVqYYeW8XDxvSXqc6XlanOwK cVerVCrinZ1E9L+hEDv4ZFU6u9NNb6tsjMdbKY6BmdrGOB0q/TKSJUHrybP3Wu87hTfa20K1U5Xe dgpi7e0SwMrXHqw/W/xshx3wcm0Uo9YV/fdKK1QGLh9iCSj4+xRsmRc9EtJRxUCxGHlHNSLjf8Si AkwPvrmyr8Yn0pYR739e2tfiuUuu9VpB+FsagfXTA0SNcXP1h9NyJSB0wuejxXRX8KtwqUX4rW4E d20Fb7TPCfEX+SFOxuyOytrNvonMEfIHqaeGXIF/EPmGoSt4dOmep84we7ao6FCGtV3ed3jfIGhD ftgtb/fThaB8iOvJ3sB8+TkrYuHtY3/fFaQ8MAHFfYG9MgcX/zmzzY7rOdkCCSFet+c6R3eVGL/l T8OEKS0nAv8hoDp7g5OjKeTO0DWi1q8RDFFUml8Qn97XBThSUXYOkcHMs/4WNmRXJjNaZIbGgwIa 6kceRnOl7cfoSO1lVuRMevmXdM46nkwLH/FTUfzYJcH5lkD0L8Lgz6roFZhOgtnRbuxfFPoPDWju m8H7ITyQn2CzsygUcxgHqwKHhZpOAc+BHV6peucV7SOybm1EXzkynQLCNWMQjKu7g+4hS9zLU4Ky KTNbxT8FGFo2zUAs1PPsUFQ2ODOFTlk4g8m9du7X30FB1Tjgw/+USPPuiH7XT16a+PeEZTsElCVB lJ3bbi2bgyZktVS+vNia+Byfokl/VFz0u6E5blnn8zz4Cgfe2OVJcWNCuFs8GANwZDNrAZ+ngEL/ 6PBbSF2VfkQpI+tmm0dQ62Mo28WbYwu2q3+HcI2K+ftS7SQ5dqai3I6uAugvJ6MqPyqxjFiUzc5t dQJrXaHo+lFuB5onvExcDrJNg6Z1ZHPj8PcoqhdCt5v6hA3uIegtUpP+mrzH/yJ6YZmPOyKuJbkV lV6wPG5dkXt+NSzHg46VHHE+rDQURAVhEDSS44VZSpBY4uCkX+zwj7sNeWzELm2mInzh8rXysASY 5CY+UpCgb2DHH3CSS0Ug34xi1iNUsMcKTQ570Ao8M41fYorhfQZBE18IlfxiZE7QRoNiLa7W/ScT Q/CLA63W2E6BkY2qSqVncHZ2MPtjejs5DEa39D+7rppVWKiP2/xTTJTLJRLJ+1eEjdE/MuCbdXYz yR/1an/UX79J+aLYRh2X1i/giuyX7I9AQ2H1EsvjYTKGAPHUEN376av5PejaqgtHujFgDskeBYxm 2HMyFPz1z9g9kuBqEXg1qZzJfl92Ozx/tvBIm/aBwUk+85BVzRZqkwkg1mIFf+KqsMjfGrOHcuVF dF5CF1tjL8Dv3kiOe9DdwY5AASQbWoHH2TH4xRX3O7MdeCJsgxtoaHrNeRDPD28nR+lCF29hIRVy 4N8vbPpdtcG7LyHxoptI+vFHihX0oG0qclFw83c3JzcK99tkjGcRNtM56EhDpBEK9P5MNKVxK363 U38tqDJFEKOiA0Y7/ce3MY8dNz/UZ4h7/MB6s1rEz34d88nmtj9si7Uh1XvKo+Ia7tfuv1Z6SA/K qfpmPUNWv5F0bi1ujeb0Wkkz92KpeGDO26hXuiiH+qmIlIqdATQOMg8OKa9Bw4Pu6uXn64YI84Mk A3usp54GDLOOoLxI0nJg8JrhCetREQv12MAZYHY7olj01CeZNPKb87gU0Bo8pzXfGOdYHr85opGi 8m3Fm25gKdkVzaAe2eaktdpQBzQv3prXDOtoQIwOBqBRot09MAU9Txm+0zbmIrHJafX4mKHut0Tj FFZSw/Rg5MjZj5+t2FtoyrSapHKu2H/npEEBouBl6jCqT0ZMjtJRYNJHQ+itnkVsWXn2Kq0hrW5/ hpU0iHqLhbYnLvqfaRAbTrdul5K07zR76IcOlM7X27zrBaSkSP3ja/ySiytzcKIoDGcMR7SzPfo/ 3pa7ZSe1u0YBcBRcsZK8PlTZY7V3SetT9p8AT/2id4NWDdYgHY/lCjz9VntwBhD5RQv98XoKQkXX b4mdWOkzYMeVgDcMfSK//VZMGXW+GT3lJLrvdxnwY2QMFoxeYcBqr+nem66qRAym41ILXhVZOjL9 t/gFF/wlOQcIGR9kCe2RG9n8KwIrw6eKseUnPLb3U/gkKE9G/6APxbgWHuu05j/mc02JjTPkkJVi VAZFlRW5+C9j3R2IZ2fgUiVOwS2KM+XMJRdZMcYZa4GjHHsum8MtpRgeAYujJ41XuiVAXJbLw+EU +idLFGx6hdF7ocO9R2eHeY8hBQZy94t53jf7cpl9t92tTew/PJcuYXYOzzCgKm8tYvNUGVotQWlz u1YQPgz/gjj9CF6QH7GaAec5VgNhTTRQqG8xvXAW0NpKroIdd+OFXuTP2tlNwUhpskOfHpWl/MYW 1Nwfbqoax30t2h1DIWOCbNVOIDT7gEqxMObsV9L2uEipZ7JUpgDoe2X7cMlb4/501yRP+UFniz/E KV0a4h69CEErwOSoAkLDVX5+Juh7SALJdIvKW2dCVJ7XXBefe6Mn2t5uJreqL3i3ohI60LchUZGw ueHy/R/1ZPGPIu4uTETcfy50kBhCUmSSOKpQtc7+p7Q+kjdmTW+NTVy2rAtL1ib9BQFBN//TVAIl ly+KNMixUqmvVCHR9nNpwIhixzN1nNtmxTfzNIqF8Y2W24TLZeCU5xlZoP9Rz7qqbgPD+3pmC5Df tllB0WcocaepkHHRcIZEmOSIepuRTy1gwwAXXPnj3MuLbxwieX1AT4oeZIrvwKq3xCjq4eW5VWRD 3MZVbXpztNBdbygk83EiUidERkLJWkSqk4n5oxfJuGIKWBZyh3lZUbPeoaRLPFSeZeu3xxjxCW6b cLI/75J83h2OOq1Xik6egML0+5Or6k5B21oqc2D4uTz5jotpaHszdloJkFCEEYEfNRxD9CPfRJtD R4GB0jiCBPGmrB3wF0RYPG5oJC4vgR3QT0rUB2rEASrJp94VvtHoGnLWbF7RWeZ9I5Gho+1z/e7w S7R0GZOXDFAylcWOQbkvDOivnxeQ35Hf3IhsyyBcwnB1abgQSfElZ+SuG/oupB+bnlXYCN3I4qjH iP/kMbOqr8Bt36ygfmyAnrioPT1A+2dIatqdf+DeBqv9uGLVcMwYoDMo8WFm8r725lCApeiMwssG PAz6j0L9j4VfVcUKBt+bxEwkNdhk4zO1DQozofnoM9NEMlMbxQRTx4WbZDyegRNIRlS6QE5mPiVs HyRcX/dF53qJNTJMvM9xbYt9eZo9NmybGEAuzyJ9jMJZpInghLMxKm4b/GNR9tk/CvMnhnhjpxGJ b5MQxASgFRjcLHZFl3Z2GJUpDLoy4UpZXJMWzu5jikwiGE5OTpHWYzFzAfnWHn4Bjjx+M7N+u/fu YAajMGOivcVSu6WGuHjY1Cx6HVkVQuw+zN/9iDxK53CbCD6sH0osMav63BTBZOHJ955ncIEXX2WE CX6TOgtReqcyoEbN5ewJBYG5GDnAPix+CpKepEG7Slv7EbAy3T+IjsgW2Jq1maYqHFDHSyJ2hYx4 ujQOb99D4TmOT6ZneKT/Wp8Q6TbqzNDhJ7G4NstTZLnuNJRtu4Ad5nMvJQFHX70mDpa/QVIOz65g 1zhq `protect end_protected
library IEEE; use IEEE.STD_LOGIC_1164.all; use IEEE.Numeric_Std.all; use work.pico_cpu.all; entity Mem is generic (BitWidth: integer); port ( RdAddress: in std_logic_vector (BitWidth-1 downto 0); Data_in: in std_logic_vector (BitWidth-1 downto 0); WrtAddress: in std_logic_vector (BitWidth-1 downto 0); clk: in std_logic; RW: in std_logic; rst: in std_logic; Data_Out: out std_logic_vector (BitWidth-1 downto 0) ); end Mem; architecture beh of Mem is type Mem_type is array (0 to DataMem_depth-1) of std_logic_vector(BitWidth-1 downto 0) ; signal Mem : Mem_type := ((others=> (others=>'0'))); begin MemProcess: process(clk,rst) is begin if rst = '1' then Mem<= ((others=> (others=>'0'))); elsif rising_edge(clk) then if RW = '1' then if to_integer(unsigned(WrtAddress(BitWidth-1 downto 0))) <= DataMem_depth-1 then Mem(to_integer(unsigned(WrtAddress(BitWidth-1 downto 0)))) <= Data_in; end if; end if; end if; end process MemProcess; process(RdAddress)begin if to_integer(unsigned(RdAddress(BitWidth-1 downto 0))) <= DataMem_depth-1 then Data_Out <= Mem(to_integer(unsigned(RdAddress(BitWidth-1 downto 0)))); else Data_Out <= (others=> '0'); end if; end process; end beh;
-- ALUNOS: -- Bruno Luiz da Silva -- Gustavo Fernades -- -- -- TÍTULO: -- Expoente -- -- -- RESUMO: -- Calcula o expoente baseado na normalização e nos expoentes dados -- -- -- ENTRADAS/SAÍDAS (I/O): -- (I) a,b: entradas de 4 bits cada que serão os expoentes que o usuário dará -- (I) normal: entrada que receberá o número de vezes que a mantissa foi deslocada para ficar normalizada -- (I) arguments: argumentos que serão recebidos para realizar a soma dos expoentes dados ou o resultado -- dessa soma mais o número de deslocamentos realizados. -- (I) clk,rst: clock e reset, sendo que o reset zera todas saídas -- (O) q: saída do componente, sendo que será esse o expoente final -- -- -- DESCRIÇÃO: -- Esse componente será responsável por dar o expoente da multiplicação que será realizada. Para tal o -- usuário entrará com os expoentes (em a e b) e dará o valor "110" para o "argument" para realizar a -- soma de ambos. Para previnir casos onde houver uma soma que extrapole o valor "1111" (7 em decimal) -- então foi adicionado um bit extra na saída para armazenar o possível valor extra. Em algum momento -- será enviado o número de deslocamentos realizados para normalizar a mantissa (normal) e assim terá-se -- um valor negativo que deverá ser decrementado do atual expoente. Após essa decrementação então tem-se -- o expoente final, porém ele deve estar na faixa de "0000" a "1111" (0 a 15 em decimal), pois caso -- extrapole essa faixa ele não poderá apresentar o valor correto nos LEDs designados sendo assim um caso -- de overflow, que ativará o LED designado para tal. -- -- -- ANEXO - ARGUMENTS: -- O "arguments" será dado pela FSM e o mesmo é ligado ao bloco de multiplicação. Aproveitando essa mesma -- saída então usa-se o arguments aqui. Os sinais utilizados e o que fazem são: -- -- 110: realiza a soma entre os dois expoentes dados (a e b). -- 111: realiza a subtração do atual valor guardado (soma de a e b) com o número de deslocamentos realizados -- na normalização da mantissa. -- -- -- (I): INPUT / (O): OUTPUT library ieee; use ieee.std_logic_1164.all; use ieee.std_logic_unsigned.all; entity expoente is generic(N: natural := 4); port( a,b: in std_logic_vector((N-1) downto 0); -- Expoentes dados pelo usuário normal: in std_logic_vector((N-1) downto 0); -- Deslocamentos que foram necessários para normalizar a mantissa arguments: in std_logic_vector(2 downto 0); -- Argumentos que dará as ordens para o componente clk,rst: in std_logic; -- Clock e reset q: out std_logic_vector((N) downto 0) -- Expoente final ); end expoente; architecture func of expoente is signal aux: std_logic_vector(N downto 0); begin EXPOENTE: process(clk,rst) begin if(rst = '1') then aux <= (others => '0'); elsif(rising_edge(clk)) then if(arguments = "110") then -- Soma dos dois expoentes dados com o bit extra para o carry aux <= ('0'&a) + ('0'&b); elsif(arguments = "111") then -- Decremento do resultado da soma anterior com o número de deslocamentos da normalização aux <= aux - ('0'&normal); else aux <= aux; end if; end if; q <= aux; end process; end func;
-- $Id: debounce_gen.vhd 1181 2019-07-08 17:00:50Z mueller $ -- SPDX-License-Identifier: GPL-3.0-or-later -- Copyright 2007-2011 by Walter F.J. Mueller <W.F.J.Mueller@gsi.de> -- ------------------------------------------------------------------------------ -- Module Name: debounce_gen - syn -- Description: Generic signal debouncer -- -- Dependencies: - -- Test bench: tb/tb_debounce_gen -- Target Devices: generic -- Tool versions: ise 8.2-14.7; viv 2014.4-2015.4; ghdl 0.18-0.33 -- Revision History: -- Date Rev Version Comment -- 2011-10-22 418 1.0.3 now numeric_std clean -- 2007-12-26 105 1.0.2 add default for RESET -- 2007-10-12 88 1.0.1 avoid ieee.std_logic_unsigned, use cast to unsigned -- 2007-06-29 61 1.0 Initial version ------------------------------------------------------------------------------ library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; use work.slvtypes.all; entity debounce_gen is -- debounce, generic vector generic ( CWIDTH : positive := 2; -- clock interval counter width CEDIV : positive := 3; -- clock interval divider DWIDTH : positive := 8); -- data width port ( CLK : in slbit; -- clock RESET : in slbit := '0'; -- reset CE_INT : in slbit; -- clock interval enable (usec or msec) DI : in slv(DWIDTH-1 downto 0); -- data in DO : out slv(DWIDTH-1 downto 0) -- data out ); end entity debounce_gen; architecture syn of debounce_gen is constant cntzero : slv(CWIDTH-1 downto 0) := (others=>'0'); constant datazero : slv(dWIDTH-1 downto 0) := (others=>'0'); type regs_type is record cecnt : slv(CWIDTH-1 downto 0); -- clock interval counter dref : slv(DWIDTH-1 downto 0); -- data reference dchange : slv(DWIDTH-1 downto 0); -- data change flag dout : slv(DWIDTH-1 downto 0); -- data output end record regs_type; constant regs_init : regs_type := ( cntzero, datazero, datazero, datazero ); signal R_REGS : regs_type := regs_init; -- state registers signal N_REGS : regs_type := regs_init; -- next value state regs begin assert CEDIV<=2**CWIDTH report "assert(CEDIV<=2**CWIDTH)" severity failure; proc_regs: process (CLK) begin if rising_edge(CLK) then if RESET = '1' then R_REGS.cecnt <= cntzero; R_REGS.dref <= DI; R_REGS.dchange <= datazero; R_REGS.dout <= DI; else R_REGS <= N_REGS; end if; end if; end process proc_regs; proc_next: process (R_REGS, CE_INT, DI) variable r : regs_type := regs_init; variable n : regs_type := regs_init; begin r := R_REGS; n := R_REGS; for i in DI'range loop if DI(i) /= r.dref(i) then n.dchange(i) := '1'; end if; end loop; if CE_INT = '1' then if unsigned(r.cecnt) = 0 then n.cecnt := slv(to_unsigned(CEDIV-1,CWIDTH)); n.dref := DI; n.dchange := datazero; for i in DI'range loop if r.dchange(i) = '0' then n.dout(i) := r.dref(i); end if; end loop; else n.cecnt := slv(unsigned(r.cecnt) - 1); end if; end if; N_REGS <= n; DO <= r.dout; end process proc_next; end syn;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_ARITH.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; entity ByteHEXdisplay is Port ( clk : in STD_LOGIC; ssData : in STD_LOGIC_VECTOR (31 downto 0); sevenseg : out STD_LOGIC_VECTOR (6 downto 0); anode : out STD_LOGIC_VECTOR (7 downto 0) ); end ByteHEXdisplay; architecture Behavioral of ByteHEXdisplay is signal nibble : STD_LOGIC_VECTOR (3 downto 0); signal count : STD_LOGIC_VECTOR (15 downto 0); begin PROCESS begin wait until rising_edge(clk); count <= count + 1; if count(15 downto 13) = "001" then -- toggle on MSBits of count anode <= "11111110"; nibble <= ssData(3 downto 0); elsif count(15 downto 13) = "010" then anode <= "11111101"; nibble <= ssData(7 downto 4); elsif count(15 downto 13) = "011" then anode <= "11111011"; nibble <= ssData(11 downto 8); elsif count(15 downto 13) = "100" then anode <= "11110111"; nibble <= ssData(15 downto 12); elsif count(15 downto 13) = "101" then anode <= "11101111"; nibble <= ssData(19 downto 16); elsif count(15 downto 13) = "110" then anode <= "11011111"; nibble <= ssData(23 downto 20); elsif count(15 downto 13) = "111" then anode <= "10111111"; nibble <= ssData(27 downto 24); else anode <= "01111111"; nibble <= ssData(31 downto 28); end if; case nibble is when "0000" => sevenseg <= "1000000"; when "0001" => sevenseg <= "1111001"; when "0010" => sevenseg <= "0100100"; when "0011" => sevenseg <= "0110000"; when "0100" => sevenseg <= "0011001"; when "0101" => sevenseg <= "0010010"; when "0110" => sevenseg <= "0000010"; when "0111" => sevenseg <= "1111000"; when "1000" => sevenseg <= "0000000"; when "1001" => sevenseg <= "0011000"; when "1010" => sevenseg <= "0001000"; when "1011" => sevenseg <= "0000011"; when "1100" => sevenseg <= "1000110"; when "1101" => sevenseg <= "0100001"; when "1110" => sevenseg <= "0000110"; when others => sevenseg <= "0001110"; end case; end process; end Behavioral;
---------------------------------------------------------------------------------- -- Engineer: Mike Field <hamster@snap.net.nz> -- -- Description: A controller to send I2C commands to the ADAU1761 codec ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity i2c is Port ( clk : in STD_LOGIC; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : out STD_LOGIC); end i2c; architecture Behavioral of i2c is COMPONENT i3c2 Generic( clk_divide : STD_LOGIC_VECTOR (7 downto 0)); PORT( clk : IN std_logic; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : OUT std_logic; inst_data : IN std_logic_vector(8 downto 0); inputs : IN std_logic_vector(15 downto 0); inst_address : OUT std_logic_vector(9 downto 0); debug_sda : OUT std_logic; debug_scl : OUT std_logic; outputs : OUT std_logic_vector(15 downto 0); reg_addr : OUT std_logic_vector(4 downto 0); reg_data : OUT std_logic_vector(7 downto 0); reg_write : OUT std_logic; error : OUT std_logic ); END COMPONENT; COMPONENT adau1761_configuraiton_data PORT( clk : IN std_logic; address : IN std_logic_vector(9 downto 0); data : OUT std_logic_vector(8 downto 0) ); END COMPONENT; signal inst_address : std_logic_vector(9 downto 0); signal inst_data : std_logic_vector(8 downto 0); signal debug_big : std_logic_vector(15 downto 0); begin Inst_adau1761_configuraiton_data: adau1761_configuraiton_data PORT MAP( clk => clk, address => inst_address, data => inst_data ); Inst_i3c2: i3c2 GENERIC MAP ( clk_divide => "01111000" -- 120 (48,000/120 = 400kHz I2C clock) ) PORT MAP( clk => clk, inst_address => inst_address, inst_data => inst_data, i2c_scl => i2c_scl, i2c_sda_i => i2c_sda_i, i2c_sda_o => i2c_sda_o, i2c_sda_t => i2c_sda_t, inputs => (others => '0'), outputs => debug_big, reg_addr => open, reg_data => open, reg_write => open, debug_scl => open, debug_sda => open, error => open ); end Behavioral;
---------------------------------------------------------------------------------- -- Engineer: Mike Field <hamster@snap.net.nz> -- -- Description: A controller to send I2C commands to the ADAU1761 codec ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity i2c is Port ( clk : in STD_LOGIC; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : out STD_LOGIC); end i2c; architecture Behavioral of i2c is COMPONENT i3c2 Generic( clk_divide : STD_LOGIC_VECTOR (7 downto 0)); PORT( clk : IN std_logic; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : OUT std_logic; inst_data : IN std_logic_vector(8 downto 0); inputs : IN std_logic_vector(15 downto 0); inst_address : OUT std_logic_vector(9 downto 0); debug_sda : OUT std_logic; debug_scl : OUT std_logic; outputs : OUT std_logic_vector(15 downto 0); reg_addr : OUT std_logic_vector(4 downto 0); reg_data : OUT std_logic_vector(7 downto 0); reg_write : OUT std_logic; error : OUT std_logic ); END COMPONENT; COMPONENT adau1761_configuraiton_data PORT( clk : IN std_logic; address : IN std_logic_vector(9 downto 0); data : OUT std_logic_vector(8 downto 0) ); END COMPONENT; signal inst_address : std_logic_vector(9 downto 0); signal inst_data : std_logic_vector(8 downto 0); signal debug_big : std_logic_vector(15 downto 0); begin Inst_adau1761_configuraiton_data: adau1761_configuraiton_data PORT MAP( clk => clk, address => inst_address, data => inst_data ); Inst_i3c2: i3c2 GENERIC MAP ( clk_divide => "01111000" -- 120 (48,000/120 = 400kHz I2C clock) ) PORT MAP( clk => clk, inst_address => inst_address, inst_data => inst_data, i2c_scl => i2c_scl, i2c_sda_i => i2c_sda_i, i2c_sda_o => i2c_sda_o, i2c_sda_t => i2c_sda_t, inputs => (others => '0'), outputs => debug_big, reg_addr => open, reg_data => open, reg_write => open, debug_scl => open, debug_sda => open, error => open ); end Behavioral;
---------------------------------------------------------------------------------- -- Engineer: Mike Field <hamster@snap.net.nz> -- -- Description: A controller to send I2C commands to the ADAU1761 codec ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity i2c is Port ( clk : in STD_LOGIC; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : out STD_LOGIC); end i2c; architecture Behavioral of i2c is COMPONENT i3c2 Generic( clk_divide : STD_LOGIC_VECTOR (7 downto 0)); PORT( clk : IN std_logic; i2c_sda_i : IN std_logic; i2c_sda_o : OUT std_logic; i2c_sda_t : OUT std_logic; i2c_scl : OUT std_logic; inst_data : IN std_logic_vector(8 downto 0); inputs : IN std_logic_vector(15 downto 0); inst_address : OUT std_logic_vector(9 downto 0); debug_sda : OUT std_logic; debug_scl : OUT std_logic; outputs : OUT std_logic_vector(15 downto 0); reg_addr : OUT std_logic_vector(4 downto 0); reg_data : OUT std_logic_vector(7 downto 0); reg_write : OUT std_logic; error : OUT std_logic ); END COMPONENT; COMPONENT adau1761_configuraiton_data PORT( clk : IN std_logic; address : IN std_logic_vector(9 downto 0); data : OUT std_logic_vector(8 downto 0) ); END COMPONENT; signal inst_address : std_logic_vector(9 downto 0); signal inst_data : std_logic_vector(8 downto 0); signal debug_big : std_logic_vector(15 downto 0); begin Inst_adau1761_configuraiton_data: adau1761_configuraiton_data PORT MAP( clk => clk, address => inst_address, data => inst_data ); Inst_i3c2: i3c2 GENERIC MAP ( clk_divide => "01111000" -- 120 (48,000/120 = 400kHz I2C clock) ) PORT MAP( clk => clk, inst_address => inst_address, inst_data => inst_data, i2c_scl => i2c_scl, i2c_sda_i => i2c_sda_i, i2c_sda_o => i2c_sda_o, i2c_sda_t => i2c_sda_t, inputs => (others => '0'), outputs => debug_big, reg_addr => open, reg_data => open, reg_write => open, debug_scl => open, debug_sda => open, error => open ); end Behavioral;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity ALU is --do not change entity, it must match testbench component Port ( a , b : in STD_LOGIC_VECTOR (3 downto 0); -- 4 bit input op : in STD_LOGIC_VECTOR (1 downto 0); --2 bit input o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end ALU; architecture toplevel of ALU is --the component for first function is created component func1 is Port ( a, b : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end component; --the component for second function is created component func2 is Port ( a : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end component; --the component for third function is created component func3 is Port ( a, b : in STD_LOGIC_VECTOR (3 downto 0); -- 4 bit input o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end component; --the component for forth function is created component func4 is Port ( a, b : in STD_LOGIC_VECTOR (3 downto 0); -- 4 bit input o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end component; --the component for mux is created component mux is Port (m_op : in STD_LOGIC_VECTOR (1 downto 0); F1_in : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input F2_in : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input F3_in : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input F4_in : in STD_LOGIC_VECTOR (3 downto 0); --4 bit input m_o : out STD_LOGIC_VECTOR (3 downto 0)); --4 bit output end component; signal F1_out, F2_out, F3_out, F4_out : STD_LOGIC_VECTOR (3 downto 0):="0000"; begin --beginning of the architecture --components are port mapped according to workinstructions: http://priit.ati.ttu.ee/?page_id=2320 F1 : func1 port map (a => a, b => b , o => F1_out); F2 : func2 port map (a => a, o => F2_out); F3 : func3 port map (a => a, b => b , o => F3_out); F4 : func4 port map (a => a, b => b, o => F4_out); MUX_tl : mux port map (m_op => op, F1_in => F1_out, F2_in => F2_out, F3_in => F3_out, F4_in => F4_out, m_o => o); end toplevel;
------------------------------------------------------------------ -- BCD multiplier N by M digits -- Fully combiational -- Simple version ------------------------------------------------------------------ library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_ARITH.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; --use work.my_package.all; --library UNISIM; --use UNISIM.VComponents.all; entity mult_BCD_comb is Generic (NDigit : natural:=5; MDigit : natural:=5); Port ( a : in STD_LOGIC_VECTOR (NDigit*4-1 downto 0); b : in STD_LOGIC_VECTOR (MDigit*4-1 downto 0); p : out STD_LOGIC_VECTOR ((NDigit+MDigit)*4-1 downto 0)); end mult_BCD_comb; architecture Behavioral of mult_BCD_comb is function log2sup (num: natural) return natural is variable i,pw: natural; begin i := 0; pw := 1; while(pw < num) loop i := i+1; pw := pw*2; end loop; return i; end log2sup; component mult_Nx1_BCD is Generic (NDigit : integer); Port ( a : in STD_LOGIC_VECTOR (NDigit*4-1 downto 0); b : in STD_LOGIC_VECTOR (3 downto 0); p : out STD_LOGIC_VECTOR ((NDigit+1)*4-1 downto 0)); end component; component cych_adder_BCD_v2 is Generic (NDigit : integer); Port ( a, b : in STD_LOGIC_VECTOR (NDigit*4-1 downto 0); cin : in STD_LOGIC; cout : out STD_LOGIC; s : out STD_LOGIC_VECTOR (NDigit*4-1 downto 0)); end component; --constant logM natural := log2sup(MDigit); type partialSum is array (2*MDigit-2 downto 0) of STD_LOGIC_VECTOR ((NDigit+MDigit)*4-1 downto 0); signal pp,pps: partialSum; begin GenM: for i in 0 to (MDigit-1) generate --Multiply one by N mlt: mult_Nx1_BCD generic map (NDIGIT => NDigit) PORT MAP ( a => a, b => b((i+1)*4-1 downto i*4), p => pp(i)((NDigit+1)*4-1 downto 0) ); end generate; GenOps: for i in 0 to log2sup(MDigit)-1 generate --Tree of adders G_P: for j in ((2**i-1)*2**(log2sup(MDigit)-i)) to (((2**i-1)*2**(log2sup(MDigit)-i)) + 2**(log2sup(MDigit)-i-1) -1) generate pps(2*j)((NDigit+MDigit)*4-1 downto (NDigit)*4) <= (others => '0'); pps(2*j)((NDigit)*4-1 downto 0) <= pp(2*j)((NDigit+2**i)*4-1 downto (2**i)*4); adder: cych_adder_BCD_v2 generic map (NDIGIT => NDigit+2**i) PORT MAP( a => pps(2*j)((NDigit+2**i)*4-1 downto 0), b => pp(2*j+1)((NDigit+2**i)*4-1 downto 0), cin => '0', cout => open, s => pp(MDIGIT+j)((NDigit+2**i+2**i)*4-1 downto ((2**i)*4))); pp(MDIGIT+j)((2**i)*4-1 downto 0) <= pp(2*j)((2**i)*4-1 downto 0); end generate; end generate; p((NDigit+MDigit)*4-1 downto 0) <= pp(MDigit*2-2); end Behavioral;
------------------------------------------------------------------------------ -- This file is a part of the GRLIB VHDL IP LIBRARY -- Copyright (C) 2003 - 2008, Gaisler Research -- Copyright (C) 2008 - 2013, Aeroflex Gaisler -- -- This program is free software; you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation; either version 2 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program; if not, write to the Free Software -- Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA ----------------------------------------------------------------------------- -- Entity: ahbjtag -- File: ahbjtag.vhd -- Author: Edvin Catovic, Jiri Gaisler - Gaisler Research -- Description: JTAG communication link with AHB master interface ------------------------------------------------------------------------------ library ieee; use ieee.std_logic_1164.all; library grlib; use grlib.amba.all; use grlib.stdlib.all; use grlib.devices.all; library techmap; use techmap.gencomp.all; library gaisler; use gaisler.misc.all; use gaisler.libjtagcom.all; use gaisler.jtag.all; entity ahbjtag is generic ( tech : integer range 0 to NTECH := 0; hindex : integer := 0; nsync : integer range 1 to 2 := 1; idcode : integer range 0 to 255 := 9; manf : integer range 0 to 2047 := 804; part : integer range 0 to 65535 := 0; ver : integer range 0 to 15 := 0; ainst : integer range 0 to 255 := 2; dinst : integer range 0 to 255 := 3; scantest : integer := 0; oepol : integer := 1; tcknen : integer := 0; versel : integer range 0 to 1 := 1); port ( rst : in std_ulogic; clk : in std_ulogic; tck : in std_ulogic; tms : in std_ulogic; tdi : in std_ulogic; tdo : out std_ulogic; ahbi : in ahb_mst_in_type; ahbo : out ahb_mst_out_type; tapo_tck : out std_ulogic; tapo_tdi : out std_ulogic; tapo_inst : out std_logic_vector(7 downto 0); tapo_rst : out std_ulogic; tapo_capt : out std_ulogic; tapo_shft : out std_ulogic; tapo_upd : out std_ulogic; tapi_tdo : in std_ulogic; trst : in std_ulogic := '1'; tdoen : out std_ulogic; tckn : in std_ulogic := '0'; tapo_tckn : out std_ulogic; tapo_ninst : out std_logic_vector(7 downto 0); tapo_iupd : out std_ulogic ); end; architecture struct of ahbjtag is -- Use old jtagcom that only supports AHB clock up to 1/3 of JTAG clock -- Must be used for certain techs where we don't have full access to TCK -- Can also be forced by setting versel generic to 0 constant USEOLDCOM : integer := 1 - (1-tap_tck_gated(tech))*(versel); -- Set REREAD to 1 to include support for re-read operation when host reads -- out data register before jtagcom has completed the current AMBA access and -- returned to state 'shft'. constant REREAD : integer := 1; constant REVISION : integer := 2 - (2-REREAD)*USEOLDCOM; constant TAPSEL : integer := has_tapsel(tech); signal dmai : ahb_dma_in_type; signal dmao : ahb_dma_out_type; signal ltapi : tap_in_type; signal ltapo : tap_out_type; signal lltck, lltckn, ltck, ltckn: std_ulogic; signal lupd: std_ulogic; signal ctrst: std_ulogic; begin ahbmst0 : ahbmst generic map (hindex => hindex, venid => VENDOR_GAISLER, devid => GAISLER_AHBJTAG, version => REVISION) port map (rst, clk, dmai, dmao, ahbi, ahbo); tap0 : tap generic map (tech => tech, irlen => 6, idcode => idcode, manf => manf, part => part, ver => ver, scantest => scantest, oepol => oepol, tcknen => tcknen) port map (trst, tck, tms, tdi, tdo, lltck, ltapo.tdi, ltapo.inst, ltapo.reset, ltapo.capt, ltapo.shift, lupd, ltapo.asel, ltapo.dsel, ltapi.en, ltapi.tdo, tapi_tdo, tapo_ninst, tapo_iupd, lltckn, ahbi.testen, ahbi.testrst, ahbi.testoen, tdoen, tckn); ltapo.tck <= ltck; tapo_tckn <= ltckn; gtckbuf : if (USEOLDCOM=0 and is_fpga(tech)/=0) generate tckbuf: techbuf generic map (buftype => 2, tech => tech) port map (lltck, ltck); ltckn <= not ltck; end generate; notckbuf: if not (USEOLDCOM=0 and is_fpga(tech)/=0) generate ltck <= lltck; ltckn <= lltckn; end generate; -- Quirk for Xilinx TAP - upd changes on falling TCK edge and -- the flow doesn't maintain synchrony with user falling TCK edge logic. gupdff : if (USEOLDCOM=0 and is_unisim(tech)/=0) generate updff: grdff port map (ltck, lupd, ltapo.upd); end generate; noupdff: if not (USEOLDCOM=0 and is_unisim(tech)/=0) generate ltapo.upd <= lupd; end generate; oldcom: if USEOLDCOM /= 0 generate jtagcom0 : jtagcom generic map (isel => TAPSEL, nsync => nsync, ainst => ainst, dinst => dinst, reread => REREAD) port map (rst, clk, ltapo, ltapi, dmao, dmai, ltck, ctrst); end generate; newcom: if USEOLDCOM=0 generate jtagcom0 : jtagcom2 generic map (gatetech => tech, isel => TAPSEL, ainst => ainst, dinst => dinst) port map (rst, clk, ltapo, ltapi, dmao, dmai, ltck, ltckn, ctrst); end generate; tapo_tck <= ltck; tapo_tdi <= ltapo.tdi; tapo_inst <= ltapo.inst; tapo_rst <= ltapo.reset; tapo_capt <= ltapo.capt; tapo_shft <= ltapo.shift; tapo_upd <= ltapo.upd; -- Async reset for tck-domain FFs in jtagcom. -- In FPGA configs use AMBA reset as real TRST may not be available. -- For ASIC:s we want to use the real TRST to simplify constraining. ctrst <= ahbi.testrst when scantest/=0 and ahbi.testen='1' else rst when is_fpga(tech)/=0 else trst; -- pragma translate_off bootmsg : report_version generic map ("ahbjtag AHB Debug JTAG rev " & tost(REVISION)); -- pragma translate_on end;
-- EMACS settings: -*- tab-width: 2; indent-tabs-mode: t -*- -- vim: tabstop=2:shiftwidth=2:noexpandtab -- kate: tab-width 2; replace-tabs off; indent-width 2; -- -- ============================================================================ -- Authors: Patrick Lehmann -- -- Package: Common primitives described as a function -- -- Description: -- ------------------------------------ -- This packages describes common primitives like flip flops and multiplexers -- as a function to use them as one-liners. -- -- License: -- ============================================================================ -- Copyright 2007-2015 Technische Universitaet Dresden - Germany -- Chair for VLSI-Design, Diagnostics and Architecture -- -- Licensed under the Apache License, Version 2.0 (the "License"); -- you may not use this file except in compliance with the License. -- You may obtain a copy of the License at -- -- http://www.apache.org/licenses/LICENSE-2.0 -- -- Unless required by applicable law or agreed to in writing, software -- distributed under the License is distributed on an "AS IS" BASIS, -- WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -- See the License for the specific language governing permissions and -- limitations under the License. -- ============================================================================ library IEEE; use IEEE.STD_LOGIC_1164.all; use IEEE.NUMERIC_STD.all; library PoC; use PoC.utils.all; PACKAGE components IS -- FlipFlop functions function ffdre(q : STD_LOGIC; d : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- D-FlipFlop with reset and enable function ffdre(q : STD_LOGIC_VECTOR; d : STD_LOGIC_VECTOR; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC_VECTOR; -- D-FlipFlop with reset and enable function ffdse(q : STD_LOGIC; d : STD_LOGIC; set : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- D-FlipFlop with set and enable function fftre(q : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- T-FlipFlop with reset and enable function ffrs(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC; -- RS-FlipFlop with dominant rst function ffsr(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC; -- RS-FlipFlop with dominant set -- adder function inc(value : STD_LOGIC_VECTOR; increment : NATURAL := 1) return STD_LOGIC_VECTOR; function inc(value : UNSIGNED; increment : NATURAL := 1) return UNSIGNED; function inc(value : SIGNED; increment : NATURAL := 1) return SIGNED; function dec(value : STD_LOGIC_VECTOR; decrement : NATURAL := 1) return STD_LOGIC_VECTOR; function dec(value : UNSIGNED; decrement : NATURAL := 1) return UNSIGNED; function dec(value : SIGNED; decrement : NATURAL := 1) return SIGNED; -- negate function neg(value : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; -- calculate 2's complement -- counter function upcounter_next(cnt : UNSIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : NATURAL := 0) return UNSIGNED; function upcounter_equal(cnt : UNSIGNED; value : NATURAL) return STD_LOGIC; function downcounter_next(cnt : SIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : INTEGER := 0) return SIGNED; function downcounter_equal(cnt : SIGNED; value : INTEGER) return STD_LOGIC; function downcounter_neg(cnt : SIGNED) return STD_LOGIC; -- shift/rotate registers function sr_left(q : STD_LOGIC_VECTOR; i : STD_LOGIC) return STD_LOGIC_VECTOR; function sr_right(q : STD_LOGIC_VECTOR; i : STD_LOGIC) return STD_LOGIC_VECTOR; function rr_left(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function rr_right(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; -- compare function comp(value1 : STD_LOGIC_VECTOR; value2 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function comp(value1 : UNSIGNED; value2 : UNSIGNED) return UNSIGNED; function comp(value1 : SIGNED; value2 : SIGNED) return SIGNED; function comp_allzero(value : STD_LOGIC_VECTOR) return STD_LOGIC; function comp_allzero(value : UNSIGNED) return STD_LOGIC; function comp_allzero(value : SIGNED) return STD_LOGIC; function comp_allone(value : STD_LOGIC_VECTOR) return STD_LOGIC; function comp_allone(value : UNSIGNED) return STD_LOGIC; function comp_allone(value : SIGNED) return STD_LOGIC; -- multiplexing function mux(sel : STD_LOGIC; sl0 : STD_LOGIC; sl1 : STD_LOGIC) return STD_LOGIC; function mux(sel : STD_LOGIC; slv0 : STD_LOGIC_VECTOR; slv1 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function mux(sel : STD_LOGIC; us0 : UNSIGNED; us1 : UNSIGNED) return UNSIGNED; function mux(sel : STD_LOGIC; s0 : SIGNED; s1 : SIGNED) return SIGNED; end; package body components is -- d-flipflop with reset and enable function ffdre(q : STD_LOGIC; d : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((d and en) or (q and not en)) and not rst; end function; function ffdre(q : STD_LOGIC_VECTOR; d : STD_LOGIC_VECTOR; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC_VECTOR is begin return ((d and (q'range => en)) or (q and not (q'range => en))) and not (q'range => rst); end function; -- d-flipflop with set and enable function ffdse(q : STD_LOGIC; d : STD_LOGIC; set : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((d and en) or (q and not en)) or set; end function; -- t-flipflop with reset and enable function fftre(q : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((not q and en) or (q and not en)) and not rst; end function; -- rs-flipflop with dominant rst function ffrs(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC is begin return (q or set) and not rst; end function; -- rs-flipflop with dominant set function ffsr(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC is begin return (q and not rst) or set; end function; -- adder function inc(value : STD_LOGIC_VECTOR; increment : NATURAL := 1) return STD_LOGIC_VECTOR is begin return std_logic_vector(inc(unsigned(value), increment)); end function; function inc(value : UNSIGNED; increment : NATURAL := 1) return UNSIGNED is begin return value + increment; end function; function inc(value : SIGNED; increment : NATURAL := 1) return SIGNED is begin return value + increment; end function; function dec(value : STD_LOGIC_VECTOR; decrement : NATURAL := 1) return STD_LOGIC_VECTOR is begin return std_logic_vector(dec(unsigned(value), decrement)); end function; function dec(value : UNSIGNED; decrement : NATURAL := 1) return UNSIGNED is begin return value + decrement; end function; function dec(value : SIGNED; decrement : NATURAL := 1) return SIGNED is begin return value + decrement; end function; -- negate function neg(value : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return std_logic_vector(inc(unsigned(not value))); -- 2's complement end function; -- counter function upcounter_next(cnt : UNSIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : NATURAL := 0) return UNSIGNED is begin if (rst = '1') then return to_unsigned(init, cnt'length); elsif (en = '1') then return cnt + 1; else return cnt; end if; end function; function upcounter_equal(cnt : UNSIGNED; value : NATURAL) return STD_LOGIC is begin -- optimized comparison for only up counting values return to_sl((cnt and to_unsigned(value, cnt'length)) = value); end function; function downcounter_next(cnt : SIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : INTEGER := 0) return SIGNED is begin if (rst = '1') then return to_signed(init, cnt'length); elsif (en = '1') then return cnt - 1; else return cnt; end if; end function; function downcounter_equal(cnt : SIGNED; value : INTEGER) return STD_LOGIC is begin -- optimized comparison for only down counting values return to_sl((cnt nor to_signed(value, cnt'length)) /= value); end function; function downcounter_neg(cnt : SIGNED) return STD_LOGIC is begin return cnt(cnt'high); end function; -- shift/rotate registers function sr_left(q : STD_LOGIC_VECTOR; i : std_logic) return STD_LOGIC_VECTOR is begin return q(q'left - 1 downto q'right) & i; end function; function sr_right(q : STD_LOGIC_VECTOR; i : std_logic) return STD_LOGIC_VECTOR is begin return i & q(q'left downto q'right - 1); end function; function rr_left(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return q(q'left - 1 downto q'right) & q(q'left); end function; function rr_right(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return q(q'right) & q(q'left downto q'right - 1); end function; -- compare functions -- return value 1- => value1 < value2 (difference is negative) -- return value 00 => value1 = value2 (difference is zero) -- return value -1 => value1 > value2 (difference is positive) function comp(value1 : STD_LOGIC_VECTOR; value2 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin report "Comparing two STD_LOGIC_VECTORs - implicit conversion to UNSIGNED" severity WARNING; return std_logic_vector(comp(unsigned(value1), unsigned(value2))); end function; function comp(value1 : UNSIGNED; value2 : UNSIGNED) return UNSIGNED is begin if (value1 < value2) then return "10"; elsif (value1 = value2) then return "00"; else return "01"; end if; end function; function comp(value1 : SIGNED; value2 : SIGNED) return SIGNED is begin if (value1 < value2) then return "10"; elsif (value1 = value2) then return "00"; else return "01"; end if; end function; function comp_allzero(value : STD_LOGIC_VECTOR) return STD_LOGIC is begin return comp_allzero(unsigned(value)); end function; function comp_allzero(value : UNSIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '0')); end function; function comp_allzero(value : SIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '0')); end function; function comp_allone(value : STD_LOGIC_VECTOR) return STD_LOGIC is begin return comp_allone(unsigned(value)); end function; function comp_allone(value : UNSIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '1')); end function; function comp_allone(value : SIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '1')); end function; -- multiplexing function mux(sel : STD_LOGIC; sl0 : STD_LOGIC; sl1 : STD_LOGIC) return STD_LOGIC is begin return (sl0 and not sel) or (sl1 and sel); end function; function mux(sel : STD_LOGIC; slv0 : STD_LOGIC_VECTOR; slv1 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return (slv0 and not (slv0'range => sel)) or (slv1 and (slv1'range => sel)); end function; function mux(sel : STD_LOGIC; us0 : UNSIGNED; us1 : UNSIGNED) return UNSIGNED is begin return (us0 and not (us0'range => sel)) or (us1 and (us1'range => sel)); end function; function mux(sel : STD_LOGIC; s0 : SIGNED; s1 : SIGNED) return SIGNED is begin return (s0 and not (s0'range => sel)) or (s1 and (s1'range => sel)); end function; END PACKAGE BODY;
-- EMACS settings: -*- tab-width: 2; indent-tabs-mode: t -*- -- vim: tabstop=2:shiftwidth=2:noexpandtab -- kate: tab-width 2; replace-tabs off; indent-width 2; -- -- ============================================================================ -- Authors: Patrick Lehmann -- -- Package: Common primitives described as a function -- -- Description: -- ------------------------------------ -- This packages describes common primitives like flip flops and multiplexers -- as a function to use them as one-liners. -- -- License: -- ============================================================================ -- Copyright 2007-2015 Technische Universitaet Dresden - Germany -- Chair for VLSI-Design, Diagnostics and Architecture -- -- Licensed under the Apache License, Version 2.0 (the "License"); -- you may not use this file except in compliance with the License. -- You may obtain a copy of the License at -- -- http://www.apache.org/licenses/LICENSE-2.0 -- -- Unless required by applicable law or agreed to in writing, software -- distributed under the License is distributed on an "AS IS" BASIS, -- WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -- See the License for the specific language governing permissions and -- limitations under the License. -- ============================================================================ library IEEE; use IEEE.STD_LOGIC_1164.all; use IEEE.NUMERIC_STD.all; library PoC; use PoC.utils.all; PACKAGE components IS -- FlipFlop functions function ffdre(q : STD_LOGIC; d : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- D-FlipFlop with reset and enable function ffdre(q : STD_LOGIC_VECTOR; d : STD_LOGIC_VECTOR; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC_VECTOR; -- D-FlipFlop with reset and enable function ffdse(q : STD_LOGIC; d : STD_LOGIC; set : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- D-FlipFlop with set and enable function fftre(q : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC; -- T-FlipFlop with reset and enable function ffrs(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC; -- RS-FlipFlop with dominant rst function ffsr(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC; -- RS-FlipFlop with dominant set -- adder function inc(value : STD_LOGIC_VECTOR; increment : NATURAL := 1) return STD_LOGIC_VECTOR; function inc(value : UNSIGNED; increment : NATURAL := 1) return UNSIGNED; function inc(value : SIGNED; increment : NATURAL := 1) return SIGNED; function dec(value : STD_LOGIC_VECTOR; decrement : NATURAL := 1) return STD_LOGIC_VECTOR; function dec(value : UNSIGNED; decrement : NATURAL := 1) return UNSIGNED; function dec(value : SIGNED; decrement : NATURAL := 1) return SIGNED; -- negate function neg(value : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; -- calculate 2's complement -- counter function upcounter_next(cnt : UNSIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : NATURAL := 0) return UNSIGNED; function upcounter_equal(cnt : UNSIGNED; value : NATURAL) return STD_LOGIC; function downcounter_next(cnt : SIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : INTEGER := 0) return SIGNED; function downcounter_equal(cnt : SIGNED; value : INTEGER) return STD_LOGIC; function downcounter_neg(cnt : SIGNED) return STD_LOGIC; -- shift/rotate registers function sr_left(q : STD_LOGIC_VECTOR; i : STD_LOGIC) return STD_LOGIC_VECTOR; function sr_right(q : STD_LOGIC_VECTOR; i : STD_LOGIC) return STD_LOGIC_VECTOR; function rr_left(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function rr_right(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; -- compare function comp(value1 : STD_LOGIC_VECTOR; value2 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function comp(value1 : UNSIGNED; value2 : UNSIGNED) return UNSIGNED; function comp(value1 : SIGNED; value2 : SIGNED) return SIGNED; function comp_allzero(value : STD_LOGIC_VECTOR) return STD_LOGIC; function comp_allzero(value : UNSIGNED) return STD_LOGIC; function comp_allzero(value : SIGNED) return STD_LOGIC; function comp_allone(value : STD_LOGIC_VECTOR) return STD_LOGIC; function comp_allone(value : UNSIGNED) return STD_LOGIC; function comp_allone(value : SIGNED) return STD_LOGIC; -- multiplexing function mux(sel : STD_LOGIC; sl0 : STD_LOGIC; sl1 : STD_LOGIC) return STD_LOGIC; function mux(sel : STD_LOGIC; slv0 : STD_LOGIC_VECTOR; slv1 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR; function mux(sel : STD_LOGIC; us0 : UNSIGNED; us1 : UNSIGNED) return UNSIGNED; function mux(sel : STD_LOGIC; s0 : SIGNED; s1 : SIGNED) return SIGNED; end; package body components is -- d-flipflop with reset and enable function ffdre(q : STD_LOGIC; d : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((d and en) or (q and not en)) and not rst; end function; function ffdre(q : STD_LOGIC_VECTOR; d : STD_LOGIC_VECTOR; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC_VECTOR is begin return ((d and (q'range => en)) or (q and not (q'range => en))) and not (q'range => rst); end function; -- d-flipflop with set and enable function ffdse(q : STD_LOGIC; d : STD_LOGIC; set : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((d and en) or (q and not en)) or set; end function; -- t-flipflop with reset and enable function fftre(q : STD_LOGIC; rst : STD_LOGIC := '0'; en : STD_LOGIC := '1') return STD_LOGIC is begin return ((not q and en) or (q and not en)) and not rst; end function; -- rs-flipflop with dominant rst function ffrs(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC is begin return (q or set) and not rst; end function; -- rs-flipflop with dominant set function ffsr(q : STD_LOGIC; rst : STD_LOGIC := '0'; set : STD_LOGIC := '0') return STD_LOGIC is begin return (q and not rst) or set; end function; -- adder function inc(value : STD_LOGIC_VECTOR; increment : NATURAL := 1) return STD_LOGIC_VECTOR is begin return std_logic_vector(inc(unsigned(value), increment)); end function; function inc(value : UNSIGNED; increment : NATURAL := 1) return UNSIGNED is begin return value + increment; end function; function inc(value : SIGNED; increment : NATURAL := 1) return SIGNED is begin return value + increment; end function; function dec(value : STD_LOGIC_VECTOR; decrement : NATURAL := 1) return STD_LOGIC_VECTOR is begin return std_logic_vector(dec(unsigned(value), decrement)); end function; function dec(value : UNSIGNED; decrement : NATURAL := 1) return UNSIGNED is begin return value + decrement; end function; function dec(value : SIGNED; decrement : NATURAL := 1) return SIGNED is begin return value + decrement; end function; -- negate function neg(value : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return std_logic_vector(inc(unsigned(not value))); -- 2's complement end function; -- counter function upcounter_next(cnt : UNSIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : NATURAL := 0) return UNSIGNED is begin if (rst = '1') then return to_unsigned(init, cnt'length); elsif (en = '1') then return cnt + 1; else return cnt; end if; end function; function upcounter_equal(cnt : UNSIGNED; value : NATURAL) return STD_LOGIC is begin -- optimized comparison for only up counting values return to_sl((cnt and to_unsigned(value, cnt'length)) = value); end function; function downcounter_next(cnt : SIGNED; rst : STD_LOGIC; en : STD_LOGIC := '1'; init : INTEGER := 0) return SIGNED is begin if (rst = '1') then return to_signed(init, cnt'length); elsif (en = '1') then return cnt - 1; else return cnt; end if; end function; function downcounter_equal(cnt : SIGNED; value : INTEGER) return STD_LOGIC is begin -- optimized comparison for only down counting values return to_sl((cnt nor to_signed(value, cnt'length)) /= value); end function; function downcounter_neg(cnt : SIGNED) return STD_LOGIC is begin return cnt(cnt'high); end function; -- shift/rotate registers function sr_left(q : STD_LOGIC_VECTOR; i : std_logic) return STD_LOGIC_VECTOR is begin return q(q'left - 1 downto q'right) & i; end function; function sr_right(q : STD_LOGIC_VECTOR; i : std_logic) return STD_LOGIC_VECTOR is begin return i & q(q'left downto q'right - 1); end function; function rr_left(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return q(q'left - 1 downto q'right) & q(q'left); end function; function rr_right(q : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return q(q'right) & q(q'left downto q'right - 1); end function; -- compare functions -- return value 1- => value1 < value2 (difference is negative) -- return value 00 => value1 = value2 (difference is zero) -- return value -1 => value1 > value2 (difference is positive) function comp(value1 : STD_LOGIC_VECTOR; value2 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin report "Comparing two STD_LOGIC_VECTORs - implicit conversion to UNSIGNED" severity WARNING; return std_logic_vector(comp(unsigned(value1), unsigned(value2))); end function; function comp(value1 : UNSIGNED; value2 : UNSIGNED) return UNSIGNED is begin if (value1 < value2) then return "10"; elsif (value1 = value2) then return "00"; else return "01"; end if; end function; function comp(value1 : SIGNED; value2 : SIGNED) return SIGNED is begin if (value1 < value2) then return "10"; elsif (value1 = value2) then return "00"; else return "01"; end if; end function; function comp_allzero(value : STD_LOGIC_VECTOR) return STD_LOGIC is begin return comp_allzero(unsigned(value)); end function; function comp_allzero(value : UNSIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '0')); end function; function comp_allzero(value : SIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '0')); end function; function comp_allone(value : STD_LOGIC_VECTOR) return STD_LOGIC is begin return comp_allone(unsigned(value)); end function; function comp_allone(value : UNSIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '1')); end function; function comp_allone(value : SIGNED) return STD_LOGIC is begin return to_sl(value = (value'range => '1')); end function; -- multiplexing function mux(sel : STD_LOGIC; sl0 : STD_LOGIC; sl1 : STD_LOGIC) return STD_LOGIC is begin return (sl0 and not sel) or (sl1 and sel); end function; function mux(sel : STD_LOGIC; slv0 : STD_LOGIC_VECTOR; slv1 : STD_LOGIC_VECTOR) return STD_LOGIC_VECTOR is begin return (slv0 and not (slv0'range => sel)) or (slv1 and (slv1'range => sel)); end function; function mux(sel : STD_LOGIC; us0 : UNSIGNED; us1 : UNSIGNED) return UNSIGNED is begin return (us0 and not (us0'range => sel)) or (us1 and (us1'range => sel)); end function; function mux(sel : STD_LOGIC; s0 : SIGNED; s1 : SIGNED) return SIGNED is begin return (s0 and not (s0'range => sel)) or (s1 and (s1'range => sel)); end function; END PACKAGE BODY;
library ieee; use ieee.std_logic_1164.all; entity clk_div is generic ( period_g : in positive); port ( rst_i : in std_ulogic := '0'; clk_i : in std_ulogic; clk_o : out std_ulogic); begin assert period_g >= 2 and period_g mod 2 = 0 report "clk_div: invalid period_g"; end; architecture rtl of clk_div is signal clk : std_ulogic := '0'; signal cnt : natural range 0 to period_g/2 - 1 := 0; begin process(rst_i, clk_i) begin if rst_i = '1' then clk <= '0'; cnt <= 0; elsif rising_edge(clk_i) then if cnt = period_g/2 - 1 then clk <= not clk; cnt <= 0; else cnt <= cnt + 1; end if; end if; end process; clk_o <= clk; end;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; use ieee.numeric_std.all; entity foo is port ( a : std_logic; b : std_logic_vector(7 downto 0) ); end entity foo; architecture RTL of foo is signal s_test : std_logic_vector(3 downto 0) := "1111"; begin cmp_bar: entity work.bar port map( a => a ); gen_bars: for i in 0 to 1 generate cmp_generated_bar: entity work.bar port map( a => a ); end generate gen_bars; end architecture;
---------------------------------------------------------------------------------- -- Company: -- Engineer: -- -- Create Date: 16:50:31 01/26/2015 -- Design Name: -- Module Name: test - Behavioral -- Project Name: -- Target Devices: -- Tool versions: -- Description: -- -- Dependencies: -- -- Revision: -- Revision 0.01 - File Created -- Additional Comments: -- ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; -- Uncomment the following library declaration if using -- arithmetic functions with Signed or Unsigned values --use IEEE.NUMERIC_STD.ALL; -- Uncomment the following library declaration if instantiating -- any Xilinx primitives in this code. --library UNISIM; --use UNISIM.VComponents.all; entity test is Port ( sw : in STD_LOGIC_VECTOR (4 downto 0); led : out STD_LOGIC_VECTOR (4 downto 0); cpld_led : out STD_LOGIC_VECTOR (4 downto 0) ); end test; architecture Behavioral of test is begin led <= sw; cpld_led <= "11100"; end Behavioral;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity Demultiplexer_4x16 is Port ( Selector : in STD_LOGIC_VECTOR(3 downto 0); input: in STD_LOGIC_VECTOR (15 downto 0); output_A, output_B, output_C, output_D, output_E, output_F, output_G, output_H : out STD_LOGIC_VECTOR (15 downto 0); output_I, output_J, output_K, output_L, output_M, output_N, output_O, output_P : out STD_LOGIC_VECTOR (15 downto 0)); end Demultiplexer_4x16; architecture skeleton of Demultiplexer_4x16 is begin with Selector select output_A <= input when "0000", "0000000000000000" when others; with Selector select output_B <= input when "0001", "0000000000000000" when others; with Selector select output_C <= input when "0010", "0000000000000000" when others; with Selector select output_D <= input when "0011", "0000000000000000" when others; with Selector select output_E <= input when "0100", "0000000000000000" when others; with Selector select output_F <= input when "0101", "0000000000000000" when others; with Selector select output_G <= input when "0110", "0000000000000000" when others; with Selector select output_H <= input when "0111", "0000000000000000" when others; with Selector select output_I <= input when "1000", "0000000000000000" when others; with Selector select output_J <= input when "1001", "0000000000000000" when others; with Selector select output_K <= input when "1010", "0000000000000000" when others; with Selector select output_L <= input when "1011", "0000000000000000" when others; with Selector select output_M <= input when "1100", "0000000000000000" when others; with Selector select output_N <= input when "1101", "0000000000000000" when others; with Selector select output_O <= input when "1110", "0000000000000000" when others; with Selector select output_P <= input when "1111", "0000000000000000" when others; end skeleton;
-------------------------------------------------------------------------------- -- -- FIFO Generator v8.4 Core - Top-level core wrapper -- -------------------------------------------------------------------------------- -- -- (c) Copyright 2009 - 2010 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -------------------------------------------------------------------------------- -- -- Filename: controller_command_fifo_top_wrapper.vhd -- -- Description: -- This file is needed for core instantiation in production testbench -- -------------------------------------------------------------------------------- -- Library Declarations -------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.std_logic_arith.all; use ieee.std_logic_unsigned.all; -------------------------------------------------------------------------------- -- Entity Declaration -------------------------------------------------------------------------------- entity controller_command_fifo_top_wrapper is PORT ( CLK : IN STD_LOGIC; BACKUP : IN STD_LOGIC; BACKUP_MARKER : IN STD_LOGIC; DIN : IN STD_LOGIC_VECTOR(128-1 downto 0); PROG_EMPTY_THRESH : IN STD_LOGIC_VECTOR(4-1 downto 0); PROG_EMPTY_THRESH_ASSERT : IN STD_LOGIC_VECTOR(4-1 downto 0); PROG_EMPTY_THRESH_NEGATE : IN STD_LOGIC_VECTOR(4-1 downto 0); PROG_FULL_THRESH : IN STD_LOGIC_VECTOR(4-1 downto 0); PROG_FULL_THRESH_ASSERT : IN STD_LOGIC_VECTOR(4-1 downto 0); PROG_FULL_THRESH_NEGATE : IN STD_LOGIC_VECTOR(4-1 downto 0); RD_CLK : IN STD_LOGIC; RD_EN : IN STD_LOGIC; RD_RST : IN STD_LOGIC; RST : IN STD_LOGIC; SRST : IN STD_LOGIC; WR_CLK : IN STD_LOGIC; WR_EN : IN STD_LOGIC; WR_RST : IN STD_LOGIC; INJECTDBITERR : IN STD_LOGIC; INJECTSBITERR : IN STD_LOGIC; ALMOST_EMPTY : OUT STD_LOGIC; ALMOST_FULL : OUT STD_LOGIC; DATA_COUNT : OUT STD_LOGIC_VECTOR(5-1 downto 0); DOUT : OUT STD_LOGIC_VECTOR(128-1 downto 0); EMPTY : OUT STD_LOGIC; FULL : OUT STD_LOGIC; OVERFLOW : OUT STD_LOGIC; PROG_EMPTY : OUT STD_LOGIC; PROG_FULL : OUT STD_LOGIC; VALID : OUT STD_LOGIC; RD_DATA_COUNT : OUT STD_LOGIC_VECTOR(5-1 downto 0); UNDERFLOW : OUT STD_LOGIC; WR_ACK : OUT STD_LOGIC; WR_DATA_COUNT : OUT STD_LOGIC_VECTOR(5-1 downto 0); SBITERR : OUT STD_LOGIC; DBITERR : OUT STD_LOGIC; -- AXI Global Signal M_ACLK : IN std_logic; S_ACLK : IN std_logic; S_ARESETN : IN std_logic; M_ACLK_EN : IN std_logic; S_ACLK_EN : IN std_logic; -- AXI Full/Lite Slave Write Channel (write side) S_AXI_AWID : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_AWADDR : IN std_logic_vector(32-1 DOWNTO 0); S_AXI_AWLEN : IN std_logic_vector(8-1 DOWNTO 0); S_AXI_AWSIZE : IN std_logic_vector(3-1 DOWNTO 0); S_AXI_AWBURST : IN std_logic_vector(2-1 DOWNTO 0); S_AXI_AWLOCK : IN std_logic_vector(2-1 DOWNTO 0); S_AXI_AWCACHE : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_AWPROT : IN std_logic_vector(3-1 DOWNTO 0); S_AXI_AWQOS : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_AWREGION : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_AWUSER : IN std_logic_vector(1-1 DOWNTO 0); S_AXI_AWVALID : IN std_logic; S_AXI_AWREADY : OUT std_logic; S_AXI_WID : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_WDATA : IN std_logic_vector(64-1 DOWNTO 0); S_AXI_WSTRB : IN std_logic_vector(8-1 DOWNTO 0); S_AXI_WLAST : IN std_logic; S_AXI_WUSER : IN std_logic_vector(1-1 DOWNTO 0); S_AXI_WVALID : IN std_logic; S_AXI_WREADY : OUT std_logic; S_AXI_BID : OUT std_logic_vector(4-1 DOWNTO 0); S_AXI_BRESP : OUT std_logic_vector(2-1 DOWNTO 0); S_AXI_BUSER : OUT std_logic_vector(1-1 DOWNTO 0); S_AXI_BVALID : OUT std_logic; S_AXI_BREADY : IN std_logic; -- AXI Full/Lite Master Write Channel (Read side) M_AXI_AWID : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_AWADDR : OUT std_logic_vector(32-1 DOWNTO 0); M_AXI_AWLEN : OUT std_logic_vector(8-1 DOWNTO 0); M_AXI_AWSIZE : OUT std_logic_vector(3-1 DOWNTO 0); M_AXI_AWBURST : OUT std_logic_vector(2-1 DOWNTO 0); M_AXI_AWLOCK : OUT std_logic_vector(2-1 DOWNTO 0); M_AXI_AWCACHE : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_AWPROT : OUT std_logic_vector(3-1 DOWNTO 0); M_AXI_AWQOS : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_AWREGION : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_AWUSER : OUT std_logic_vector(1-1 DOWNTO 0); M_AXI_AWVALID : OUT std_logic; M_AXI_AWREADY : IN std_logic; M_AXI_WID : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_WDATA : OUT std_logic_vector(64-1 DOWNTO 0); M_AXI_WSTRB : OUT std_logic_vector(8-1 DOWNTO 0); M_AXI_WLAST : OUT std_logic; M_AXI_WUSER : OUT std_logic_vector(1-1 DOWNTO 0); M_AXI_WVALID : OUT std_logic; M_AXI_WREADY : IN std_logic; M_AXI_BID : IN std_logic_vector(4-1 DOWNTO 0); M_AXI_BRESP : IN std_logic_vector(2-1 DOWNTO 0); M_AXI_BUSER : IN std_logic_vector(1-1 DOWNTO 0); M_AXI_BVALID : IN std_logic; M_AXI_BREADY : OUT std_logic; -- AXI Full/Lite Slave Read Channel (Write side) S_AXI_ARID : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_ARADDR : IN std_logic_vector(32-1 DOWNTO 0); S_AXI_ARLEN : IN std_logic_vector(8-1 DOWNTO 0); S_AXI_ARSIZE : IN std_logic_vector(3-1 DOWNTO 0); S_AXI_ARBURST : IN std_logic_vector(2-1 DOWNTO 0); S_AXI_ARLOCK : IN std_logic_vector(2-1 DOWNTO 0); S_AXI_ARCACHE : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_ARPROT : IN std_logic_vector(3-1 DOWNTO 0); S_AXI_ARQOS : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_ARREGION : IN std_logic_vector(4-1 DOWNTO 0); S_AXI_ARUSER : IN std_logic_vector(1-1 DOWNTO 0); S_AXI_ARVALID : IN std_logic; S_AXI_ARREADY : OUT std_logic; S_AXI_RID : OUT std_logic_vector(4-1 DOWNTO 0); S_AXI_RDATA : OUT std_logic_vector(64-1 DOWNTO 0); S_AXI_RRESP : OUT std_logic_vector(2-1 DOWNTO 0); S_AXI_RLAST : OUT std_logic; S_AXI_RUSER : OUT std_logic_vector(1-1 DOWNTO 0); S_AXI_RVALID : OUT std_logic; S_AXI_RREADY : IN std_logic; -- AXI Full/Lite Master Read Channel (Read side) M_AXI_ARID : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_ARADDR : OUT std_logic_vector(32-1 DOWNTO 0); M_AXI_ARLEN : OUT std_logic_vector(8-1 DOWNTO 0); M_AXI_ARSIZE : OUT std_logic_vector(3-1 DOWNTO 0); M_AXI_ARBURST : OUT std_logic_vector(2-1 DOWNTO 0); M_AXI_ARLOCK : OUT std_logic_vector(2-1 DOWNTO 0); M_AXI_ARCACHE : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_ARPROT : OUT std_logic_vector(3-1 DOWNTO 0); M_AXI_ARQOS : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_ARREGION : OUT std_logic_vector(4-1 DOWNTO 0); M_AXI_ARUSER : OUT std_logic_vector(1-1 DOWNTO 0); M_AXI_ARVALID : OUT std_logic; M_AXI_ARREADY : IN std_logic; M_AXI_RID : IN std_logic_vector(4-1 DOWNTO 0); M_AXI_RDATA : IN std_logic_vector(64-1 DOWNTO 0); M_AXI_RRESP : IN std_logic_vector(2-1 DOWNTO 0); M_AXI_RLAST : IN std_logic; M_AXI_RUSER : IN std_logic_vector(1-1 DOWNTO 0); M_AXI_RVALID : IN std_logic; M_AXI_RREADY : OUT std_logic; -- AXI Streaming Slave Signals (Write side) S_AXIS_TVALID : IN std_logic; S_AXIS_TREADY : OUT std_logic; S_AXIS_TDATA : IN std_logic_vector(64-1 DOWNTO 0); S_AXIS_TSTRB : IN std_logic_vector(4-1 DOWNTO 0); S_AXIS_TKEEP : IN std_logic_vector(4-1 DOWNTO 0); S_AXIS_TLAST : IN std_logic; S_AXIS_TID : IN std_logic_vector(8-1 DOWNTO 0); S_AXIS_TDEST : IN std_logic_vector(4-1 DOWNTO 0); S_AXIS_TUSER : IN std_logic_vector(4-1 DOWNTO 0); -- AXI Streaming Master Signals (Read side) M_AXIS_TVALID : OUT std_logic; M_AXIS_TREADY : IN std_logic; M_AXIS_TDATA : OUT std_logic_vector(64-1 DOWNTO 0); M_AXIS_TSTRB : OUT std_logic_vector(4-1 DOWNTO 0); M_AXIS_TKEEP : OUT std_logic_vector(4-1 DOWNTO 0); M_AXIS_TLAST : OUT std_logic; M_AXIS_TID : OUT std_logic_vector(8-1 DOWNTO 0); M_AXIS_TDEST : OUT std_logic_vector(4-1 DOWNTO 0); M_AXIS_TUSER : OUT std_logic_vector(4-1 DOWNTO 0); -- AXI Full/Lite Write Address Channel Signals AXI_AW_INJECTSBITERR : IN std_logic; AXI_AW_INJECTDBITERR : IN std_logic; AXI_AW_PROG_FULL_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_AW_PROG_EMPTY_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_AW_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AW_WR_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AW_RD_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AW_SBITERR : OUT std_logic; AXI_AW_DBITERR : OUT std_logic; AXI_AW_OVERFLOW : OUT std_logic; AXI_AW_UNDERFLOW : OUT std_logic; -- AXI Full/Lite Write Data Channel Signals AXI_W_INJECTSBITERR : IN std_logic; AXI_W_INJECTDBITERR : IN std_logic; AXI_W_PROG_FULL_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXI_W_PROG_EMPTY_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXI_W_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_W_WR_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_W_RD_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_W_SBITERR : OUT std_logic; AXI_W_DBITERR : OUT std_logic; AXI_W_OVERFLOW : OUT std_logic; AXI_W_UNDERFLOW : OUT std_logic; -- AXI Full/Lite Write Response Channel Signals AXI_B_INJECTSBITERR : IN std_logic; AXI_B_INJECTDBITERR : IN std_logic; AXI_B_PROG_FULL_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_B_PROG_EMPTY_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_B_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_B_WR_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_B_RD_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_B_SBITERR : OUT std_logic; AXI_B_DBITERR : OUT std_logic; AXI_B_OVERFLOW : OUT std_logic; AXI_B_UNDERFLOW : OUT std_logic; -- AXI Full/Lite Read Address Channel Signals AXI_AR_INJECTSBITERR : IN std_logic; AXI_AR_INJECTDBITERR : IN std_logic; AXI_AR_PROG_FULL_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_AR_PROG_EMPTY_THRESH : IN std_logic_vector(4-1 DOWNTO 0); AXI_AR_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AR_WR_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AR_RD_DATA_COUNT : OUT std_logic_vector(4 DOWNTO 0); AXI_AR_SBITERR : OUT std_logic; AXI_AR_DBITERR : OUT std_logic; AXI_AR_OVERFLOW : OUT std_logic; AXI_AR_UNDERFLOW : OUT std_logic; -- AXI Full/Lite Read Data Channel Signals AXI_R_INJECTSBITERR : IN std_logic; AXI_R_INJECTDBITERR : IN std_logic; AXI_R_PROG_FULL_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXI_R_PROG_EMPTY_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXI_R_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_R_WR_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_R_RD_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXI_R_SBITERR : OUT std_logic; AXI_R_DBITERR : OUT std_logic; AXI_R_OVERFLOW : OUT std_logic; AXI_R_UNDERFLOW : OUT std_logic; -- AXI Streaming FIFO Related Signals AXIS_INJECTSBITERR : IN std_logic; AXIS_INJECTDBITERR : IN std_logic; AXIS_PROG_FULL_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXIS_PROG_EMPTY_THRESH : IN std_logic_vector(10-1 DOWNTO 0); AXIS_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXIS_WR_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXIS_RD_DATA_COUNT : OUT std_logic_vector(10 DOWNTO 0); AXIS_SBITERR : OUT std_logic; AXIS_DBITERR : OUT std_logic; AXIS_OVERFLOW : OUT std_logic; AXIS_UNDERFLOW : OUT std_logic); end controller_command_fifo_top_wrapper; architecture xilinx of controller_command_fifo_top_wrapper is SIGNAL clk_i : std_logic; component controller_command_fifo_top is PORT ( CLK : IN std_logic; DATA_COUNT : OUT std_logic_vector(5-1 DOWNTO 0); RST : IN std_logic; WR_EN : IN std_logic; RD_EN : IN std_logic; DIN : IN std_logic_vector(128-1 DOWNTO 0); DOUT : OUT std_logic_vector(128-1 DOWNTO 0); FULL : OUT std_logic; EMPTY : OUT std_logic); end component; begin clk_i <= CLK; fg1 : controller_command_fifo_top PORT MAP ( CLK => clk_i, DATA_COUNT => data_count, RST => rst, WR_EN => wr_en, RD_EN => rd_en, DIN => din, DOUT => dout, FULL => full, EMPTY => empty); end xilinx;
-------------------------------------------------------------------------------- -- -- BLK MEM GEN v7_3 Core - Synthesizable Testbench -- -------------------------------------------------------------------------------- -- -- (c) Copyright 2006_3010 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -------------------------------------------------------------------------------- -- -- Filename: weights_synth.vhd -- -- Description: -- Synthesizable Testbench -------------------------------------------------------------------------------- -- Author: IP Solutions Division -- -- History: Sep 12, 2011 - First Release -------------------------------------------------------------------------------- -- -------------------------------------------------------------------------------- -- Library Declarations -------------------------------------------------------------------------------- LIBRARY IEEE; USE IEEE.STD_LOGIC_1164.ALL; USE IEEE.STD_LOGIC_UNSIGNED.ALL; USE IEEE.STD_LOGIC_ARITH.ALL; USE IEEE.NUMERIC_STD.ALL; USE IEEE.STD_LOGIC_MISC.ALL; LIBRARY STD; USE STD.TEXTIO.ALL; --LIBRARY unisim; --USE unisim.vcomponents.ALL; LIBRARY work; USE work.ALL; USE work.BMG_TB_PKG.ALL; ENTITY weights_synth IS PORT( CLK_IN : IN STD_LOGIC; RESET_IN : IN STD_LOGIC; STATUS : OUT STD_LOGIC_VECTOR(8 DOWNTO 0) := (OTHERS => '0') --ERROR STATUS OUT OF FPGA ); END ENTITY; ARCHITECTURE weights_synth_ARCH OF weights_synth IS COMPONENT weights_exdes PORT ( --Inputs - Port A WEA : IN STD_LOGIC_VECTOR(0 DOWNTO 0); ADDRA : IN STD_LOGIC_VECTOR(4 DOWNTO 0); DINA : IN STD_LOGIC_VECTOR(23 DOWNTO 0); DOUTA : OUT STD_LOGIC_VECTOR(23 DOWNTO 0); CLKA : IN STD_LOGIC ); END COMPONENT; SIGNAL CLKA: STD_LOGIC := '0'; SIGNAL RSTA: STD_LOGIC := '0'; SIGNAL WEA: STD_LOGIC_VECTOR(0 DOWNTO 0) := (OTHERS => '0'); SIGNAL WEA_R: STD_LOGIC_VECTOR(0 DOWNTO 0) := (OTHERS => '0'); SIGNAL ADDRA: STD_LOGIC_VECTOR(4 DOWNTO 0) := (OTHERS => '0'); SIGNAL ADDRA_R: STD_LOGIC_VECTOR(4 DOWNTO 0) := (OTHERS => '0'); SIGNAL DINA: STD_LOGIC_VECTOR(23 DOWNTO 0) := (OTHERS => '0'); SIGNAL DINA_R: STD_LOGIC_VECTOR(23 DOWNTO 0) := (OTHERS => '0'); SIGNAL DOUTA: STD_LOGIC_VECTOR(23 DOWNTO 0); SIGNAL CHECKER_EN : STD_LOGIC:='0'; SIGNAL CHECKER_EN_R : STD_LOGIC:='0'; SIGNAL STIMULUS_FLOW : STD_LOGIC_VECTOR(22 DOWNTO 0) := (OTHERS =>'0'); SIGNAL clk_in_i: STD_LOGIC; SIGNAL RESET_SYNC_R1 : STD_LOGIC:='1'; SIGNAL RESET_SYNC_R2 : STD_LOGIC:='1'; SIGNAL RESET_SYNC_R3 : STD_LOGIC:='1'; SIGNAL ITER_R0 : STD_LOGIC := '0'; SIGNAL ITER_R1 : STD_LOGIC := '0'; SIGNAL ITER_R2 : STD_LOGIC := '0'; SIGNAL ISSUE_FLAG : STD_LOGIC_VECTOR(7 DOWNTO 0) := (OTHERS => '0'); SIGNAL ISSUE_FLAG_STATUS : STD_LOGIC_VECTOR(7 DOWNTO 0) := (OTHERS => '0'); BEGIN -- clk_buf: bufg -- PORT map( -- i => CLK_IN, -- o => clk_in_i -- ); clk_in_i <= CLK_IN; CLKA <= clk_in_i; RSTA <= RESET_SYNC_R3 AFTER 50 ns; PROCESS(clk_in_i) BEGIN IF(RISING_EDGE(clk_in_i)) THEN RESET_SYNC_R1 <= RESET_IN; RESET_SYNC_R2 <= RESET_SYNC_R1; RESET_SYNC_R3 <= RESET_SYNC_R2; END IF; END PROCESS; PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RESET_SYNC_R3='1') THEN ISSUE_FLAG_STATUS<= (OTHERS => '0'); ELSE ISSUE_FLAG_STATUS <= ISSUE_FLAG_STATUS OR ISSUE_FLAG; END IF; END IF; END PROCESS; STATUS(7 DOWNTO 0) <= ISSUE_FLAG_STATUS; BMG_DATA_CHECKER_INST: ENTITY work.CHECKER GENERIC MAP ( WRITE_WIDTH => 24, READ_WIDTH => 24 ) PORT MAP ( CLK => CLKA, RST => RSTA, EN => CHECKER_EN_R, DATA_IN => DOUTA, STATUS => ISSUE_FLAG(0) ); PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RSTA='1') THEN CHECKER_EN_R <= '0'; ELSE CHECKER_EN_R <= CHECKER_EN AFTER 50 ns; END IF; END IF; END PROCESS; BMG_STIM_GEN_INST:ENTITY work.BMG_STIM_GEN PORT MAP( CLK => clk_in_i, RST => RSTA, ADDRA => ADDRA, DINA => DINA, WEA => WEA, CHECK_DATA => CHECKER_EN ); PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RESET_SYNC_R3='1') THEN STATUS(8) <= '0'; iter_r2 <= '0'; iter_r1 <= '0'; iter_r0 <= '0'; ELSE STATUS(8) <= iter_r2; iter_r2 <= iter_r1; iter_r1 <= iter_r0; iter_r0 <= STIMULUS_FLOW(8); END IF; END IF; END PROCESS; PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RESET_SYNC_R3='1') THEN STIMULUS_FLOW <= (OTHERS => '0'); ELSIF(WEA(0)='1') THEN STIMULUS_FLOW <= STIMULUS_FLOW+1; END IF; END IF; END PROCESS; PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RESET_SYNC_R3='1') THEN WEA_R <= (OTHERS=>'0') AFTER 50 ns; DINA_R <= (OTHERS=>'0') AFTER 50 ns; ELSE WEA_R <= WEA AFTER 50 ns; DINA_R <= DINA AFTER 50 ns; END IF; END IF; END PROCESS; PROCESS(CLKA) BEGIN IF(RISING_EDGE(CLKA)) THEN IF(RESET_SYNC_R3='1') THEN ADDRA_R <= (OTHERS=> '0') AFTER 50 ns; ELSE ADDRA_R <= ADDRA AFTER 50 ns; END IF; END IF; END PROCESS; BMG_PORT: weights_exdes PORT MAP ( --Port A WEA => WEA_R, ADDRA => ADDRA_R, DINA => DINA_R, DOUTA => DOUTA, CLKA => CLKA ); END ARCHITECTURE;
-- -- @file CMU.vhd -- @date December, 2013 -- @author G. Roggemans <g.roggemans@grog.be> -- @copyright Copyright (c) GROG [https://grog.be] 2013, All Rights Reserved -- -- This application is free software: you can redistribute it and/or modify it -- under the terms of the GNU Lesser General Public License as published by -- the Free Software Foundation, either version 3 of the License, or (at your -- option) any later version. -- -- This application is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License -- for more details. -- -- You should have received a copy of the GNU Lesser General Public License -- along with this application. If not, see <http://www.gnu.org/licenses/>. -- -- -- entity CMU -- -- CMU(Clock Managment Unit) verzorgt de verscheidene klokken die gebruikt worden in dit project -- library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity CMU is Port ( clk : in STD_LOGIC; -- basis klok 50Mhz clk_25MHz : out STD_LOGIC; -- uitgang klok 25Mhz clk_25Hz : out STD_LOGIC); -- uitgang klok 25Hz end CMU; architecture Behavioral of CMU is signal c_clk_25MHz : STD_LOGIC:='0'; -- klok 25Mhz signal c_clk_25Hz : STD_LOGIC:='0'; -- klok 25Hz signal count : integer range 0 to 999999; -- counter value begin process (clk) begin if rising_edge (clk) then c_clk_25MHz <= not c_clk_25MHz; -- telkens op rising edge togle geeft 50Mhz/2 -> 25Mhz if count = 999999 then -- telken op rising maar slechts om de (50Mhz/2) / 1 000 000 -> 25Hz c_clk_25Hz <= not c_clk_25Hz; count <= 0; else count <= count + 1; end if; end if; end process; clk_25MHz <= c_clk_25MHz; clk_25Hz <= c_clk_25Hz; end Behavioral;
---------------------------------------------------------------------------------- -- Company: -- Engineer: -- -- Create Date: 14:10:39 07/20/2015 -- Design Name: -- Module Name: FPGA1 - Behavioral -- Project Name: -- Target Devices: -- Tool versions: -- Description: -- -- Dependencies: -- -- Revision: -- Revision 0.01 - File Created -- Additional Comments: -- ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_ARITH.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; ---- Uncomment the following library declaration if instantiating ---- any Xilinx primitives in this code. --library UNISIM; --use UNISIM.VComponents.all; entity FPGA1 is Port ( k5 : in STD_LOGIC_VECTOR (7 downto 0); k6 : in STD_LOGIC_VECTOR (7 downto 0); s0 : out STD_LOGIC_VECTOR (7 downto 0); s1 : out STD_LOGIC_VECTOR (7 downto 0); B : out STD_LOGIC_VECTOR (7 downto 0)); end FPGA1; architecture Behavioral of FPGA1 is begin process(k5, k6) begin s0 <= k5; s1 <= k5; B <= k6; end process; end Behavioral;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity tb_hack is end tb_hack; architecture Behavioral of tb_hack is signal clock : std_ulogic := '0'; signal reset : std_ulogic := '0'; begin clock <= not clock after 7.57575757 ns; uut : entity work.Hack(Behavioral) port map ( clock => clock, reset => reset ); stimuli : process begin reset <= '1'; wait for 10 us; reset <= '0'; wait for 1000 ms; wait; end process; end Behavioral;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc768.vhd,v 1.2 2001-10-26 16:30:00 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c01s01b01x02p07n01i00768ent_a IS port ( c1 : in integer ; c2 : out integer ); END c01s01b01x02p07n01i00768ent_a; ARCHITECTURE c01s01b01x02p07n01i00768arch_a OF c01s01b01x02p07n01i00768ent_a IS BEGIN c2 <= c1; END c01s01b01x02p07n01i00768arch_a; ENTITY c01s01b01x02p07n01i00768ent IS port ( p1 : in integer ; p2 : out integer ); END c01s01b01x02p07n01i00768ent; ARCHITECTURE c01s01b01x02p07n01i00768arch OF c01s01b01x02p07n01i00768ent IS component c01s01b01x02p07n01i00768ent_b port ( c1 : in integer ; c2 : out integer ); end component; for L : c01s01b01x02p07n01i00768ent_b use entity work.c01s01b01x02p07n01i00768ent_a(c01s01b01x02p07n01i00768arch_a); BEGIN L : c01s01b01x02p07n01i00768ent_b port map (p1, p2); -- Success_here -- The formal c2 is of mode out . -- The corresponding actual p2 is of -- mode out which is legal TESTING: PROCESS BEGIN assert FALSE report "***PASSED TEST: c01s01b01x02p07n01i00768" severity NOTE; wait; END PROCESS TESTING; END c01s01b01x02p07n01i00768arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc768.vhd,v 1.2 2001-10-26 16:30:00 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c01s01b01x02p07n01i00768ent_a IS port ( c1 : in integer ; c2 : out integer ); END c01s01b01x02p07n01i00768ent_a; ARCHITECTURE c01s01b01x02p07n01i00768arch_a OF c01s01b01x02p07n01i00768ent_a IS BEGIN c2 <= c1; END c01s01b01x02p07n01i00768arch_a; ENTITY c01s01b01x02p07n01i00768ent IS port ( p1 : in integer ; p2 : out integer ); END c01s01b01x02p07n01i00768ent; ARCHITECTURE c01s01b01x02p07n01i00768arch OF c01s01b01x02p07n01i00768ent IS component c01s01b01x02p07n01i00768ent_b port ( c1 : in integer ; c2 : out integer ); end component; for L : c01s01b01x02p07n01i00768ent_b use entity work.c01s01b01x02p07n01i00768ent_a(c01s01b01x02p07n01i00768arch_a); BEGIN L : c01s01b01x02p07n01i00768ent_b port map (p1, p2); -- Success_here -- The formal c2 is of mode out . -- The corresponding actual p2 is of -- mode out which is legal TESTING: PROCESS BEGIN assert FALSE report "***PASSED TEST: c01s01b01x02p07n01i00768" severity NOTE; wait; END PROCESS TESTING; END c01s01b01x02p07n01i00768arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc768.vhd,v 1.2 2001-10-26 16:30:00 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c01s01b01x02p07n01i00768ent_a IS port ( c1 : in integer ; c2 : out integer ); END c01s01b01x02p07n01i00768ent_a; ARCHITECTURE c01s01b01x02p07n01i00768arch_a OF c01s01b01x02p07n01i00768ent_a IS BEGIN c2 <= c1; END c01s01b01x02p07n01i00768arch_a; ENTITY c01s01b01x02p07n01i00768ent IS port ( p1 : in integer ; p2 : out integer ); END c01s01b01x02p07n01i00768ent; ARCHITECTURE c01s01b01x02p07n01i00768arch OF c01s01b01x02p07n01i00768ent IS component c01s01b01x02p07n01i00768ent_b port ( c1 : in integer ; c2 : out integer ); end component; for L : c01s01b01x02p07n01i00768ent_b use entity work.c01s01b01x02p07n01i00768ent_a(c01s01b01x02p07n01i00768arch_a); BEGIN L : c01s01b01x02p07n01i00768ent_b port map (p1, p2); -- Success_here -- The formal c2 is of mode out . -- The corresponding actual p2 is of -- mode out which is legal TESTING: PROCESS BEGIN assert FALSE report "***PASSED TEST: c01s01b01x02p07n01i00768" severity NOTE; wait; END PROCESS TESTING; END c01s01b01x02p07n01i00768arch;
-- -- 16450 compatible UART with synchronous bus interface -- RClk/BaudOut is XIn enable instead of actual clock -- -- Version : 0249b -- -- Copyright (c) 2002 Daniel Wallner (jesus@opencores.org) -- -- All rights reserved -- -- Redistribution and use in source and synthezised forms, with or without -- modification, are permitted provided that the following conditions are met: -- -- Redistributions of source code must retain the above copyright notice, -- this list of conditions and the following disclaimer. -- -- Redistributions in synthesized form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- -- Neither the name of the author nor the names of other contributors may -- be used to endorse or promote products derived from this software without -- specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR -- PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE -- LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR -- CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF -- SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -- INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN -- CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -- ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -- POSSIBILITY OF SUCH DAMAGE. -- -- Please report bugs to the author, but before you do so, please -- make sure that this is not a derivative work and that -- you have the latest version of this file. -- -- The latest version of this file can be found at: -- http://www.opencores.org/cvsweb.shtml/t80/ -- -- Limitations : -- -- File history : -- -- 0208 : First release -- -- 0249 : Fixed interrupt and baud rate bugs found by Andy Dyer -- Added modem status and break detection -- Added support for 1.5 and 2 stop bits -- -- 0249b : Fixed loopback break generation bugs found by Andy Dyer -- library IEEE; use IEEE.std_logic_1164.all; use IEEE.numeric_std.all; entity T16450 is port( MR_n : in std_logic; XIn : in std_logic; RClk : in std_logic; CS_n : in std_logic; Rd_n : in std_logic; Wr_n : in std_logic; A : in std_logic_vector(2 downto 0); D_In : in std_logic_vector(7 downto 0); D_Out : out std_logic_vector(7 downto 0); SIn : in std_logic; CTS_n : in std_logic; DSR_n : in std_logic; RI_n : in std_logic; DCD_n : in std_logic; SOut : out std_logic; RTS_n : out std_logic; DTR_n : out std_logic; OUT1_n : out std_logic; OUT2_n : out std_logic; BaudOut : out std_logic; Intr : out std_logic ); end T16450; architecture rtl of T16450 is signal RBR : std_logic_vector(7 downto 0); -- Reciever Buffer Register signal THR : std_logic_vector(7 downto 0); -- Transmitter Holding Register signal IER : std_logic_vector(7 downto 0); -- Interrupt Enable Register signal IIR : std_logic_vector(7 downto 0); -- Interrupt Ident. Register signal LCR : std_logic_vector(7 downto 0); -- Line Control Register signal MCR : std_logic_vector(7 downto 0); -- MODEM Control Register signal LSR : std_logic_vector(7 downto 0); -- Line Status Register signal MSR : std_logic_vector(7 downto 0); -- MODEM Status Register signal SCR : std_logic_vector(7 downto 0); -- Scratch Register signal DLL : std_logic_vector(7 downto 0); -- Divisor Latch (LS) signal DLM : std_logic_vector(7 downto 0); -- Divisor Latch (MS) signal DM0 : std_logic_vector(7 downto 0); signal DM1 : std_logic_vector(7 downto 0); signal MSR_In : std_logic_vector(3 downto 0); signal Bit_Phase : unsigned(3 downto 0); signal Brk_Cnt : unsigned(3 downto 0); signal RX_Filtered : std_logic; signal RX_ShiftReg : std_logic_vector(7 downto 0); signal RX_Bit_Cnt : integer range 0 to 11; signal RX_Parity : std_logic; signal RXD : std_logic; signal TX_Tick : std_logic; signal TX_ShiftReg : std_logic_vector(7 downto 0); signal TX_Bit_Cnt : integer range 0 to 11; signal TX_Parity : std_logic; signal TX_Next_Is_Stop : std_logic; signal TX_Stop_Bit : std_logic; signal TXD : std_logic; begin DTR_n <= MCR(4) or not MCR(0); RTS_n <= MCR(4) or not MCR(1); OUT1_n <= MCR(4) or not MCR(2); OUT2_n <= MCR(4) or not MCR(3); SOut <= MCR(4) or (TXD and not LCR(6)); RXD <= SIn when MCR(4) = '0' else (TXD and not LCR(6)); Intr <= not IIR(0); -- Registers DM0 <= DLL when LCR(7) = '1' else RBR; DM1 <= DLM when LCR(7) = '1' else IER; with A select D_Out <= DM0 when "000", DM1 when "001", IIR when "010", LCR when "011", MCR when "100", LSR when "101", MSR when "110", SCR when others; process (MR_n, XIn) begin if MR_n = '0' then THR <= "00000000"; IER <= "00000000"; LCR <= "00000000"; MCR <= "00000000"; MSR(3 downto 0) <= "0000"; SCR <= "00000000"; -- ?? DLL <= "00000000"; -- ?? DLM <= "00000000"; -- ?? elsif XIn'event and XIn = '1' then if Wr_n = '0' and CS_n = '0' then case A is when "000" => if LCR(7) = '1' then DLL <= D_In; else THR <= D_In; end if; when "001" => if LCR(7) = '1' then DLM <= D_In; else IER(3 downto 0) <= D_In(3 downto 0); end if; when "011" => LCR <= D_In; when "100" => MCR <= D_In; when "111" => SCR <= D_In; when others => end case; end if; if Rd_n = '0' and CS_n = '0' and A = "110" then MSR(3 downto 0) <= "0000"; end if; if MSR(4) /= MSR_In(0) then MSR(0) <= '1'; end if; if MSR(5) /= MSR_In(1) then MSR(1) <= '1'; end if; if MSR(6) = '0' and MSR_In(2) = '1' then MSR(2) <= '1'; end if; if MSR(7) /= MSR_In(3) then MSR(3) <= '1'; end if; end if; end process; process (XIn) begin if XIn'event and XIn = '1' then if MCR(4) = '0' then MSR(4) <= MSR_In(0); MSR(5) <= MSR_In(1); MSR(6) <= MSR_In(2); MSR(7) <= MSR_In(3); else MSR(4) <= MCR(1); MSR(5) <= MCR(0); MSR(6) <= MCR(2); MSR(7) <= MCR(3); end if; MSR_In(0) <= CTS_n; MSR_In(1) <= DSR_n; MSR_In(2) <= RI_n; MSR_In(3) <= DCD_n; end if; end process; IIR(7 downto 3) <= "00000"; IIR(2 downto 0) <= "110" when IER(2) = '1' and LSR(4 downto 1) /= "0000" else "100" when (IER(0) and LSR(0)) = '1' else "010" when (IER(1) and LSR(5)) = '1' else "000" when IER(3) = '1' and ((MCR(4) = '0' and MSR(3 downto 0) /= "0000") or (MCR(4) = '1' and MCR(3 downto 0) /= "0000")) else "001"; -- Baud x 16 clock generator process (MR_n, XIn) variable Baud_Cnt : unsigned(15 downto 0); begin if MR_n = '0' then Baud_Cnt := "0000000000000000"; BaudOut <= '0'; elsif XIn'event and XIn = '1' then if Baud_Cnt(15 downto 1) = "000000000000000" or (Wr_n = '0' and CS_n = '0' and A(2 downto 1) = "00" and LCR(7) = '1') then Baud_Cnt(15 downto 8) := unsigned(DLM); Baud_Cnt(7 downto 0) := unsigned(DLL); BaudOut <= '1'; else Baud_Cnt := Baud_Cnt - 1; BaudOut <= '0'; end if; end if; end process; -- Input filter process (MR_n, XIn) variable Samples : std_logic_vector(1 downto 0); begin if MR_n = '0' then Samples := "11"; RX_Filtered <= '1'; elsif XIn'event and XIn = '1' then if RClk = '1' then Samples(1) := Samples(0); Samples(0) := RXD; end if; if Samples = "00" then RX_Filtered <= '0'; end if; if Samples = "11" then RX_Filtered <= '1'; end if; end if; end process; -- Receive state machine process (MR_n, XIn) begin if MR_n = '0' then RBR <= "00000000"; LSR(4 downto 0) <= "00000"; Bit_Phase <= "0000"; Brk_Cnt <= "0000"; RX_ShiftReg(7 downto 0) <= "00000000"; RX_Bit_Cnt <= 0; RX_Parity <= '0'; elsif XIn'event and XIn = '1' then if A = "000" and LCR(7) = '0' and Rd_n = '0' and CS_n = '0' then LSR(0) <= '0'; -- DR end if; if A = "101" and Rd_n = '0' and CS_n = '0' then LSR(4) <= '0'; -- BI LSR(3) <= '0'; -- FE LSR(2) <= '0'; -- PE LSR(1) <= '0'; -- OE end if; if RClk = '1' then if RX_Bit_Cnt = 0 and (RX_Filtered = '1' or Bit_Phase = "0111") then Bit_Phase <= "0000"; else Bit_Phase <= Bit_Phase + 1; end if; if Bit_Phase = "1111" then if RX_Filtered = '1' then Brk_Cnt <= "0000"; else Brk_Cnt <= Brk_Cnt + 1; end if; if Brk_Cnt = "1100" then LSR(4) <= '1'; -- BI end if; end if; if RX_Bit_Cnt = 0 then if Bit_Phase = "0111" then RX_Bit_Cnt <= RX_Bit_Cnt + 1; RX_Parity <= not LCR(4); -- EPS end if; elsif Bit_Phase = "1111" then RX_Bit_Cnt <= RX_Bit_Cnt + 1; if RX_Bit_Cnt = 10 then -- Parity stop bit RX_Bit_Cnt <= 0; LSR(0) <= '1'; -- UART Receive complete LSR(3) <= not RX_Filtered; -- Framing error elsif (RX_Bit_Cnt = 9 and LCR(1 downto 0) = "11") or (RX_Bit_Cnt = 8 and LCR(1 downto 0) = "10") or (RX_Bit_Cnt = 7 and LCR(1 downto 0) = "01") or (RX_Bit_Cnt = 6 and LCR(1 downto 0) = "00") then -- Stop bit/Parity RX_Bit_Cnt <= 0; if LCR(3) = '1' then -- PEN RX_Bit_Cnt <= 10; if LCR(5) = '1' then -- Stick parity if RX_Filtered = LCR(4) then LSR(2) <= '1'; end if; else if RX_Filtered /= RX_Parity then LSR(2) <= '1'; end if; end if; else LSR(0) <= '1'; -- UART Receive complete LSR(3) <= not RX_Filtered; -- Framing error end if; RBR <= RX_ShiftReg(7 downto 0); LSR(1) <= LSR(0); if A = "101" and Rd_n = '0' and CS_n = '0' then LSR(1) <= '0'; end if; else RX_ShiftReg(6 downto 0) <= RX_ShiftReg(7 downto 1); RX_ShiftReg(7) <= RX_Filtered; if LCR(1 downto 0) = "10" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= RX_Filtered; end if; if LCR(1 downto 0) = "01" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= '0'; RX_ShiftReg(5) <= RX_Filtered; end if; if LCR(1 downto 0) = "00" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= '0'; RX_ShiftReg(5) <= '0'; RX_ShiftReg(4) <= RX_Filtered; end if; RX_Parity <= RX_Filtered xor RX_Parity; end if; end if; end if; end if; end process; -- Transmit bit tick process (MR_n, XIn) variable TX_Cnt : unsigned(4 downto 0); begin if MR_n = '0' then TX_Cnt := "00000"; TX_Tick <= '0'; elsif XIn'event and XIn = '1' then TX_Tick <= '0'; if RClk = '1' then TX_Cnt := TX_Cnt + 1; if LCR(2) = '1' and TX_Stop_Bit = '1' then if LCR(1 downto 0) = "00" then if TX_Cnt = "10111" then TX_Tick <= '1'; TX_Cnt(3 downto 0) := "0000"; end if; else if TX_Cnt = "11111" then TX_Tick <= '1'; TX_Cnt(3 downto 0) := "0000"; end if; end if; else TX_Cnt(4) := '1'; if TX_Cnt(3 downto 0) = "1111" then TX_Tick <= '1'; end if; end if; end if; end if; end process; -- Transmit state machine process (MR_n, XIn) begin if MR_n = '0' then LSR(7 downto 5) <= "011"; TX_Bit_Cnt <= 0; TX_ShiftReg <= (others => '0'); TXD <= '1'; TX_Parity <= '0'; TX_Next_Is_Stop <= '0'; TX_Stop_Bit <= '0'; elsif XIn'event and XIn = '1' then if TX_Tick = '1' then TX_Next_Is_Stop <= '0'; TX_Stop_Bit <= TX_Next_Is_Stop; case TX_Bit_Cnt is when 0 => if LSR(5) <= '0' then -- THRE TX_Bit_Cnt <= 1; end if; TXD <= '1'; when 1 => -- Start bit TX_ShiftReg(7 downto 0) <= THR; LSR(5) <= '1'; -- THRE TXD <= '0'; TX_Parity <= not LCR(4); -- EPS TX_Bit_Cnt <= TX_Bit_Cnt + 1; when 10 => -- Parity bit TXD <= TX_Parity; if LCR(5) = '1' then -- Stick parity TXD <= not LCR(4); end if; TX_Bit_Cnt <= 0; TX_Next_Is_Stop <= '1'; when others => TX_Bit_Cnt <= TX_Bit_Cnt + 1; if (TX_Bit_Cnt = 9 and LCR(1 downto 0) = "11") or (TX_Bit_Cnt = 8 and LCR(1 downto 0) = "10") or (TX_Bit_Cnt = 7 and LCR(1 downto 0) = "01") or (TX_Bit_Cnt = 6 and LCR(1 downto 0) = "00") then TX_Bit_Cnt <= 0; if LCR(3) = '1' then -- PEN TX_Bit_Cnt <= 10; else TX_Next_Is_Stop <= '1'; end if; LSR(6) <= '1'; -- TEMT end if; TXD <= TX_ShiftReg(0); TX_ShiftReg(6 downto 0) <= TX_ShiftReg(7 downto 1); TX_Parity <= TX_ShiftReg(0) xor TX_Parity; end case; end if; if Wr_n = '0' and CS_n = '0' and A = "000" and LCR(7) = '0' then LSR(5) <= '0'; -- THRE LSR(6) <= '0'; -- TEMT end if; end if; end process; end;
-- -- 16450 compatible UART with synchronous bus interface -- RClk/BaudOut is XIn enable instead of actual clock -- -- Version : 0249b -- -- Copyright (c) 2002 Daniel Wallner (jesus@opencores.org) -- -- All rights reserved -- -- Redistribution and use in source and synthezised forms, with or without -- modification, are permitted provided that the following conditions are met: -- -- Redistributions of source code must retain the above copyright notice, -- this list of conditions and the following disclaimer. -- -- Redistributions in synthesized form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- -- Neither the name of the author nor the names of other contributors may -- be used to endorse or promote products derived from this software without -- specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR -- PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE -- LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR -- CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF -- SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -- INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN -- CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -- ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -- POSSIBILITY OF SUCH DAMAGE. -- -- Please report bugs to the author, but before you do so, please -- make sure that this is not a derivative work and that -- you have the latest version of this file. -- -- The latest version of this file can be found at: -- http://www.opencores.org/cvsweb.shtml/t80/ -- -- Limitations : -- -- File history : -- -- 0208 : First release -- -- 0249 : Fixed interrupt and baud rate bugs found by Andy Dyer -- Added modem status and break detection -- Added support for 1.5 and 2 stop bits -- -- 0249b : Fixed loopback break generation bugs found by Andy Dyer -- library IEEE; use IEEE.std_logic_1164.all; use IEEE.numeric_std.all; entity T16450 is port( MR_n : in std_logic; XIn : in std_logic; RClk : in std_logic; CS_n : in std_logic; Rd_n : in std_logic; Wr_n : in std_logic; A : in std_logic_vector(2 downto 0); D_In : in std_logic_vector(7 downto 0); D_Out : out std_logic_vector(7 downto 0); SIn : in std_logic; CTS_n : in std_logic; DSR_n : in std_logic; RI_n : in std_logic; DCD_n : in std_logic; SOut : out std_logic; RTS_n : out std_logic; DTR_n : out std_logic; OUT1_n : out std_logic; OUT2_n : out std_logic; BaudOut : out std_logic; Intr : out std_logic ); end T16450; architecture rtl of T16450 is signal RBR : std_logic_vector(7 downto 0); -- Reciever Buffer Register signal THR : std_logic_vector(7 downto 0); -- Transmitter Holding Register signal IER : std_logic_vector(7 downto 0); -- Interrupt Enable Register signal IIR : std_logic_vector(7 downto 0); -- Interrupt Ident. Register signal LCR : std_logic_vector(7 downto 0); -- Line Control Register signal MCR : std_logic_vector(7 downto 0); -- MODEM Control Register signal LSR : std_logic_vector(7 downto 0); -- Line Status Register signal MSR : std_logic_vector(7 downto 0); -- MODEM Status Register signal SCR : std_logic_vector(7 downto 0); -- Scratch Register signal DLL : std_logic_vector(7 downto 0); -- Divisor Latch (LS) signal DLM : std_logic_vector(7 downto 0); -- Divisor Latch (MS) signal DM0 : std_logic_vector(7 downto 0); signal DM1 : std_logic_vector(7 downto 0); signal MSR_In : std_logic_vector(3 downto 0); signal Bit_Phase : unsigned(3 downto 0); signal Brk_Cnt : unsigned(3 downto 0); signal RX_Filtered : std_logic; signal RX_ShiftReg : std_logic_vector(7 downto 0); signal RX_Bit_Cnt : integer range 0 to 11; signal RX_Parity : std_logic; signal RXD : std_logic; signal TX_Tick : std_logic; signal TX_ShiftReg : std_logic_vector(7 downto 0); signal TX_Bit_Cnt : integer range 0 to 11; signal TX_Parity : std_logic; signal TX_Next_Is_Stop : std_logic; signal TX_Stop_Bit : std_logic; signal TXD : std_logic; begin DTR_n <= MCR(4) or not MCR(0); RTS_n <= MCR(4) or not MCR(1); OUT1_n <= MCR(4) or not MCR(2); OUT2_n <= MCR(4) or not MCR(3); SOut <= MCR(4) or (TXD and not LCR(6)); RXD <= SIn when MCR(4) = '0' else (TXD and not LCR(6)); Intr <= not IIR(0); -- Registers DM0 <= DLL when LCR(7) = '1' else RBR; DM1 <= DLM when LCR(7) = '1' else IER; with A select D_Out <= DM0 when "000", DM1 when "001", IIR when "010", LCR when "011", MCR when "100", LSR when "101", MSR when "110", SCR when others; process (MR_n, XIn) begin if MR_n = '0' then THR <= "00000000"; IER <= "00000000"; LCR <= "00000000"; MCR <= "00000000"; MSR(3 downto 0) <= "0000"; SCR <= "00000000"; -- ?? DLL <= "00000000"; -- ?? DLM <= "00000000"; -- ?? elsif XIn'event and XIn = '1' then if Wr_n = '0' and CS_n = '0' then case A is when "000" => if LCR(7) = '1' then DLL <= D_In; else THR <= D_In; end if; when "001" => if LCR(7) = '1' then DLM <= D_In; else IER(3 downto 0) <= D_In(3 downto 0); end if; when "011" => LCR <= D_In; when "100" => MCR <= D_In; when "111" => SCR <= D_In; when others => end case; end if; if Rd_n = '0' and CS_n = '0' and A = "110" then MSR(3 downto 0) <= "0000"; end if; if MSR(4) /= MSR_In(0) then MSR(0) <= '1'; end if; if MSR(5) /= MSR_In(1) then MSR(1) <= '1'; end if; if MSR(6) = '0' and MSR_In(2) = '1' then MSR(2) <= '1'; end if; if MSR(7) /= MSR_In(3) then MSR(3) <= '1'; end if; end if; end process; process (XIn) begin if XIn'event and XIn = '1' then if MCR(4) = '0' then MSR(4) <= MSR_In(0); MSR(5) <= MSR_In(1); MSR(6) <= MSR_In(2); MSR(7) <= MSR_In(3); else MSR(4) <= MCR(1); MSR(5) <= MCR(0); MSR(6) <= MCR(2); MSR(7) <= MCR(3); end if; MSR_In(0) <= CTS_n; MSR_In(1) <= DSR_n; MSR_In(2) <= RI_n; MSR_In(3) <= DCD_n; end if; end process; IIR(7 downto 3) <= "00000"; IIR(2 downto 0) <= "110" when IER(2) = '1' and LSR(4 downto 1) /= "0000" else "100" when (IER(0) and LSR(0)) = '1' else "010" when (IER(1) and LSR(5)) = '1' else "000" when IER(3) = '1' and ((MCR(4) = '0' and MSR(3 downto 0) /= "0000") or (MCR(4) = '1' and MCR(3 downto 0) /= "0000")) else "001"; -- Baud x 16 clock generator process (MR_n, XIn) variable Baud_Cnt : unsigned(15 downto 0); begin if MR_n = '0' then Baud_Cnt := "0000000000000000"; BaudOut <= '0'; elsif XIn'event and XIn = '1' then if Baud_Cnt(15 downto 1) = "000000000000000" or (Wr_n = '0' and CS_n = '0' and A(2 downto 1) = "00" and LCR(7) = '1') then Baud_Cnt(15 downto 8) := unsigned(DLM); Baud_Cnt(7 downto 0) := unsigned(DLL); BaudOut <= '1'; else Baud_Cnt := Baud_Cnt - 1; BaudOut <= '0'; end if; end if; end process; -- Input filter process (MR_n, XIn) variable Samples : std_logic_vector(1 downto 0); begin if MR_n = '0' then Samples := "11"; RX_Filtered <= '1'; elsif XIn'event and XIn = '1' then if RClk = '1' then Samples(1) := Samples(0); Samples(0) := RXD; end if; if Samples = "00" then RX_Filtered <= '0'; end if; if Samples = "11" then RX_Filtered <= '1'; end if; end if; end process; -- Receive state machine process (MR_n, XIn) begin if MR_n = '0' then RBR <= "00000000"; LSR(4 downto 0) <= "00000"; Bit_Phase <= "0000"; Brk_Cnt <= "0000"; RX_ShiftReg(7 downto 0) <= "00000000"; RX_Bit_Cnt <= 0; RX_Parity <= '0'; elsif XIn'event and XIn = '1' then if A = "000" and LCR(7) = '0' and Rd_n = '0' and CS_n = '0' then LSR(0) <= '0'; -- DR end if; if A = "101" and Rd_n = '0' and CS_n = '0' then LSR(4) <= '0'; -- BI LSR(3) <= '0'; -- FE LSR(2) <= '0'; -- PE LSR(1) <= '0'; -- OE end if; if RClk = '1' then if RX_Bit_Cnt = 0 and (RX_Filtered = '1' or Bit_Phase = "0111") then Bit_Phase <= "0000"; else Bit_Phase <= Bit_Phase + 1; end if; if Bit_Phase = "1111" then if RX_Filtered = '1' then Brk_Cnt <= "0000"; else Brk_Cnt <= Brk_Cnt + 1; end if; if Brk_Cnt = "1100" then LSR(4) <= '1'; -- BI end if; end if; if RX_Bit_Cnt = 0 then if Bit_Phase = "0111" then RX_Bit_Cnt <= RX_Bit_Cnt + 1; RX_Parity <= not LCR(4); -- EPS end if; elsif Bit_Phase = "1111" then RX_Bit_Cnt <= RX_Bit_Cnt + 1; if RX_Bit_Cnt = 10 then -- Parity stop bit RX_Bit_Cnt <= 0; LSR(0) <= '1'; -- UART Receive complete LSR(3) <= not RX_Filtered; -- Framing error elsif (RX_Bit_Cnt = 9 and LCR(1 downto 0) = "11") or (RX_Bit_Cnt = 8 and LCR(1 downto 0) = "10") or (RX_Bit_Cnt = 7 and LCR(1 downto 0) = "01") or (RX_Bit_Cnt = 6 and LCR(1 downto 0) = "00") then -- Stop bit/Parity RX_Bit_Cnt <= 0; if LCR(3) = '1' then -- PEN RX_Bit_Cnt <= 10; if LCR(5) = '1' then -- Stick parity if RX_Filtered = LCR(4) then LSR(2) <= '1'; end if; else if RX_Filtered /= RX_Parity then LSR(2) <= '1'; end if; end if; else LSR(0) <= '1'; -- UART Receive complete LSR(3) <= not RX_Filtered; -- Framing error end if; RBR <= RX_ShiftReg(7 downto 0); LSR(1) <= LSR(0); if A = "101" and Rd_n = '0' and CS_n = '0' then LSR(1) <= '0'; end if; else RX_ShiftReg(6 downto 0) <= RX_ShiftReg(7 downto 1); RX_ShiftReg(7) <= RX_Filtered; if LCR(1 downto 0) = "10" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= RX_Filtered; end if; if LCR(1 downto 0) = "01" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= '0'; RX_ShiftReg(5) <= RX_Filtered; end if; if LCR(1 downto 0) = "00" then RX_ShiftReg(7) <= '0'; RX_ShiftReg(6) <= '0'; RX_ShiftReg(5) <= '0'; RX_ShiftReg(4) <= RX_Filtered; end if; RX_Parity <= RX_Filtered xor RX_Parity; end if; end if; end if; end if; end process; -- Transmit bit tick process (MR_n, XIn) variable TX_Cnt : unsigned(4 downto 0); begin if MR_n = '0' then TX_Cnt := "00000"; TX_Tick <= '0'; elsif XIn'event and XIn = '1' then TX_Tick <= '0'; if RClk = '1' then TX_Cnt := TX_Cnt + 1; if LCR(2) = '1' and TX_Stop_Bit = '1' then if LCR(1 downto 0) = "00" then if TX_Cnt = "10111" then TX_Tick <= '1'; TX_Cnt(3 downto 0) := "0000"; end if; else if TX_Cnt = "11111" then TX_Tick <= '1'; TX_Cnt(3 downto 0) := "0000"; end if; end if; else TX_Cnt(4) := '1'; if TX_Cnt(3 downto 0) = "1111" then TX_Tick <= '1'; end if; end if; end if; end if; end process; -- Transmit state machine process (MR_n, XIn) begin if MR_n = '0' then LSR(7 downto 5) <= "011"; TX_Bit_Cnt <= 0; TX_ShiftReg <= (others => '0'); TXD <= '1'; TX_Parity <= '0'; TX_Next_Is_Stop <= '0'; TX_Stop_Bit <= '0'; elsif XIn'event and XIn = '1' then if TX_Tick = '1' then TX_Next_Is_Stop <= '0'; TX_Stop_Bit <= TX_Next_Is_Stop; case TX_Bit_Cnt is when 0 => if LSR(5) <= '0' then -- THRE TX_Bit_Cnt <= 1; end if; TXD <= '1'; when 1 => -- Start bit TX_ShiftReg(7 downto 0) <= THR; LSR(5) <= '1'; -- THRE TXD <= '0'; TX_Parity <= not LCR(4); -- EPS TX_Bit_Cnt <= TX_Bit_Cnt + 1; when 10 => -- Parity bit TXD <= TX_Parity; if LCR(5) = '1' then -- Stick parity TXD <= not LCR(4); end if; TX_Bit_Cnt <= 0; TX_Next_Is_Stop <= '1'; when others => TX_Bit_Cnt <= TX_Bit_Cnt + 1; if (TX_Bit_Cnt = 9 and LCR(1 downto 0) = "11") or (TX_Bit_Cnt = 8 and LCR(1 downto 0) = "10") or (TX_Bit_Cnt = 7 and LCR(1 downto 0) = "01") or (TX_Bit_Cnt = 6 and LCR(1 downto 0) = "00") then TX_Bit_Cnt <= 0; if LCR(3) = '1' then -- PEN TX_Bit_Cnt <= 10; else TX_Next_Is_Stop <= '1'; end if; LSR(6) <= '1'; -- TEMT end if; TXD <= TX_ShiftReg(0); TX_ShiftReg(6 downto 0) <= TX_ShiftReg(7 downto 1); TX_Parity <= TX_ShiftReg(0) xor TX_Parity; end case; end if; if Wr_n = '0' and CS_n = '0' and A = "000" and LCR(7) = '0' then LSR(5) <= '0'; -- THRE LSR(6) <= '0'; -- TEMT end if; end if; end process; end;
package STRSYN is attribute SigDir : string; attribute SigType : string; attribute SigBias : string; end STRSYN; entity sklp is port ( terminal in1: electrical; terminal out1: electrical; terminal vbias4: electrical; terminal gnd: electrical; terminal vdd: electrical; terminal vbias3: electrical; terminal vbias1: electrical; terminal vbias2: electrical; terminal vref: electrical); end sklp; architecture simple of sklp is -- Attributes for Ports attribute SigDir of in1:terminal is "input"; attribute SigType of in1:terminal is "voltage"; attribute SigDir of out1:terminal is "output"; attribute SigType of out1:terminal is "voltage"; attribute SigDir of vbias4:terminal is "reference"; attribute SigType of vbias4:terminal is "voltage"; attribute SigDir of gnd:terminal is "reference"; attribute SigType of gnd:terminal is "current"; attribute SigBias of gnd:terminal is "negative"; attribute SigDir of vdd:terminal is "reference"; attribute SigType of vdd:terminal is "current"; attribute SigBias of vdd:terminal is "positive"; attribute SigDir of vbias3:terminal is "reference"; attribute SigType of vbias3:terminal is "voltage"; attribute SigDir of vbias1:terminal is "reference"; attribute SigType of vbias1:terminal is "voltage"; attribute SigDir of vbias2:terminal is "reference"; attribute SigType of vbias2:terminal is "voltage"; attribute SigDir of vref:terminal is "reference"; attribute SigType of vref:terminal is "current"; attribute SigBias of vref:terminal is "negative"; terminal net1: electrical; terminal net2: electrical; terminal net3: electrical; terminal net4: electrical; terminal net5: electrical; terminal net6: electrical; terminal net7: electrical; terminal net8: electrical; terminal net9: electrical; terminal net10: electrical; begin subnet0_subnet0_subnet0_m1 : entity nmos(behave) generic map( L => Ldiff_0, Ldiff_0init => 1.95e-06, W => Wdiff_0, Wdiff_0init => 3.5e-07, scope => private ) port map( D => net3, G => net1, S => net5 ); subnet0_subnet0_subnet0_m2 : entity nmos(behave) generic map( L => Ldiff_0, Ldiff_0init => 1.95e-06, W => Wdiff_0, Wdiff_0init => 3.5e-07, scope => private ) port map( D => net2, G => out1, S => net5 ); subnet0_subnet0_subnet0_m3 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => W_0, W_0init => 9.05e-06 ) port map( D => net5, G => vbias4, S => gnd ); subnet0_subnet0_subnet0_m4 : entity nmos(behave) generic map( L => Ldiff_0, Ldiff_0init => 1.95e-06, W => Wdiff_0, Wdiff_0init => 3.5e-07, scope => private ) port map( D => net6, G => net1, S => net5 ); subnet0_subnet0_subnet0_m5 : entity nmos(behave) generic map( L => Ldiff_0, Ldiff_0init => 1.95e-06, W => Wdiff_0, Wdiff_0init => 3.5e-07, scope => private ) port map( D => net6, G => out1, S => net5 ); subnet0_subnet0_subnet0_m6 : entity pmos(behave) generic map( L => Lcmdiffp_0, Lcmdiffp_0init => 8.75e-06, W => Wcmdiffp_0, Wcmdiffp_0init => 6.85e-06, scope => private ) port map( D => net6, G => net6, S => vdd ); subnet0_subnet0_subnet0_m7 : entity pmos(behave) generic map( L => Lcmdiffp_0, Lcmdiffp_0init => 8.75e-06, W => Wcmdiffp_0, Wcmdiffp_0init => 6.85e-06, scope => private ) port map( D => net6, G => net6, S => vdd ); subnet0_subnet0_subnet0_m8 : entity pmos(behave) generic map( L => Lcmdiffp_0, Lcmdiffp_0init => 8.75e-06, W => Wcmdiffp_0, Wcmdiffp_0init => 6.85e-06, scope => private ) port map( D => net2, G => net6, S => vdd ); subnet0_subnet0_subnet0_m9 : entity pmos(behave) generic map( L => Lcmdiffp_0, Lcmdiffp_0init => 8.75e-06, W => Wcmdiffp_0, Wcmdiffp_0init => 6.85e-06, scope => private ) port map( D => net3, G => net6, S => vdd ); subnet0_subnet0_subnet1_m1 : entity pmos(behave) generic map( L => Lsrc, Lsrcinit => 7.3e-06, W => Wsrc_2, Wsrc_2init => 7.85e-05, scope => Wprivate, symmetry_scope => sym_5 ) port map( D => net4, G => net2, S => vdd ); subnet0_subnet0_subnet2_m1 : entity pmos(behave) generic map( L => Lsrc, Lsrcinit => 7.3e-06, W => Wsrc_2, Wsrc_2init => 7.85e-05, scope => Wprivate, symmetry_scope => sym_5 ) port map( D => out1, G => net3, S => vdd ); subnet0_subnet0_subnet3_m1 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => Wcmcasc_1, Wcmcasc_1init => 3.78e-05, scope => Wprivate ) port map( D => net4, G => vbias3, S => net7 ); subnet0_subnet0_subnet3_m2 : entity nmos(behave) generic map( L => Lcm_1, Lcm_1init => 2.7e-06, W => Wcm_1, Wcm_1init => 1.54e-05, scope => private ) port map( D => net7, G => net4, S => gnd ); subnet0_subnet0_subnet3_m3 : entity nmos(behave) generic map( L => Lcm_1, Lcm_1init => 2.7e-06, W => Wcmout_1, Wcmout_1init => 1.045e-05, scope => private ) port map( D => net8, G => net4, S => gnd ); subnet0_subnet0_subnet3_m4 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => Wcmcasc_1, Wcmcasc_1init => 3.78e-05, scope => Wprivate ) port map( D => out1, G => vbias3, S => net8 ); subnet0_subnet1_subnet0_m1 : entity pmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => (pfak)*(WBias), WBiasinit => 2.15e-05 ) port map( D => vbias1, G => vbias1, S => vdd ); subnet0_subnet1_subnet0_m2 : entity pmos(behave) generic map( L => (pfak)*(LBias), LBiasinit => 1.15e-06, W => (pfak)*(WBias), WBiasinit => 2.15e-05 ) port map( D => vbias2, G => vbias2, S => vbias1 ); subnet0_subnet1_subnet0_i1 : entity idc(behave) generic map( I => 1.145e-05 ) port map( P => vdd, N => vbias3 ); subnet0_subnet1_subnet0_m3 : entity nmos(behave) generic map( L => (pfak)*(LBias), LBiasinit => 1.15e-06, W => WBias, WBiasinit => 2.15e-05 ) port map( D => vbias3, G => vbias3, S => vbias4 ); subnet0_subnet1_subnet0_m4 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => WBias, WBiasinit => 2.15e-05 ) port map( D => vbias2, G => vbias3, S => net9 ); subnet0_subnet1_subnet0_m5 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => WBias, WBiasinit => 2.15e-05 ) port map( D => vbias4, G => vbias4, S => gnd ); subnet0_subnet1_subnet0_m6 : entity nmos(behave) generic map( L => LBias, LBiasinit => 1.15e-06, W => WBias, WBiasinit => 2.15e-05 ) port map( D => net9, G => vbias4, S => gnd ); subnet1_subnet0_r1 : entity res(behave) generic map( R => 200000 ) port map( P => net10, N => in1 ); subnet1_subnet0_r2 : entity res(behave) generic map( R => 603000 ) port map( P => net10, N => net1 ); subnet1_subnet0_c2 : entity cap(behave) generic map( C => 1.07e-11 ) port map( P => net10, N => out1 ); subnet1_subnet0_c1 : entity cap(behave) generic map( C => 4e-12 ) port map( P => net1, N => vref ); end simple;
-- (c) Copyright 1995-2015 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -- -- DO NOT MODIFY THIS FILE. -- IP VLNV: rcs.ei.tum.de:user:Syma_Ctrl_core:1.2 -- IP Revision: 18 LIBRARY ieee; USE ieee.std_logic_1164.ALL; USE ieee.numeric_std.ALL; ENTITY Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0 IS PORT ( l_ss_init : OUT STD_LOGIC; ppm_signal_in : IN STD_LOGIC; sample_clk : IN STD_LOGIC; ppm_irq_single : OUT STD_LOGIC; ppm_irq_complete : OUT STD_LOGIC; s00_axi_awaddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_awvalid : IN STD_LOGIC; s00_axi_awready : OUT STD_LOGIC; s00_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_wvalid : IN STD_LOGIC; s00_axi_wready : OUT STD_LOGIC; s00_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_bvalid : OUT STD_LOGIC; s00_axi_bready : IN STD_LOGIC; s00_axi_araddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_arvalid : IN STD_LOGIC; s00_axi_arready : OUT STD_LOGIC; s00_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_rvalid : OUT STD_LOGIC; s00_axi_rready : IN STD_LOGIC; s00_axi_aclk : IN STD_LOGIC; s00_axi_aresetn : IN STD_LOGIC; s01_axi_awaddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_awvalid : IN STD_LOGIC; s01_axi_awready : OUT STD_LOGIC; s01_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s01_axi_wvalid : IN STD_LOGIC; s01_axi_wready : OUT STD_LOGIC; s01_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_bvalid : OUT STD_LOGIC; s01_axi_bready : IN STD_LOGIC; s01_axi_araddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_arvalid : IN STD_LOGIC; s01_axi_arready : OUT STD_LOGIC; s01_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_rvalid : OUT STD_LOGIC; s01_axi_rready : IN STD_LOGIC; s01_axi_aclk : IN STD_LOGIC; s01_axi_aresetn : IN STD_LOGIC; m01_axi_awaddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_awprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_awvalid : OUT STD_LOGIC; m01_axi_awready : IN STD_LOGIC; m01_axi_wdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_wstrb : OUT STD_LOGIC_VECTOR(3 DOWNTO 0); m01_axi_wvalid : OUT STD_LOGIC; m01_axi_wready : IN STD_LOGIC; m01_axi_bresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_bvalid : IN STD_LOGIC; m01_axi_bready : OUT STD_LOGIC; m01_axi_araddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_arprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_arvalid : OUT STD_LOGIC; m01_axi_arready : IN STD_LOGIC; m01_axi_rdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_rresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_rvalid : IN STD_LOGIC; m01_axi_rready : OUT STD_LOGIC; m01_axi_aclk : IN STD_LOGIC; m01_axi_aresetn : IN STD_LOGIC ); END Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0; ARCHITECTURE Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0 IS ATTRIBUTE DowngradeIPIdentifiedWarnings : string; ATTRIBUTE DowngradeIPIdentifiedWarnings OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch: ARCHITECTURE IS "yes"; COMPONENT Syma_Ctrl_core_v1_1 IS GENERIC ( C_S00_AXI_DATA_WIDTH : INTEGER; -- Width of S_AXI data bus C_S00_AXI_ADDR_WIDTH : INTEGER; -- Width of S_AXI address bus C_S01_AXI_DATA_WIDTH : INTEGER; -- Width of S_AXI data bus C_S01_AXI_ADDR_WIDTH : INTEGER; -- Width of S_AXI address bus C_M01_AXI_START_DATA_VALUE : STD_LOGIC_VECTOR; -- The master will start generating data from the C_M_START_DATA_VALUE value C_M01_AXI_TARGET_SLAVE_BASE_ADDR : STD_LOGIC_VECTOR; -- The master requires a target slave base address. -- The master will initiate read and write transactions on the slave with base address specified here as a parameter. C_M01_AXI_ADDR_WIDTH : INTEGER; -- Width of M_AXI address bus. -- The master generates the read and write addresses of width specified as C_M_AXI_ADDR_WIDTH. C_M01_AXI_DATA_WIDTH : INTEGER; -- Width of M_AXI data bus. -- The master issues write data and accept read data where the width of the data bus is C_M_AXI_DATA_WIDTH C_M01_AXI_TRANSACTIONS_NUM : INTEGER; -- Transaction number is the number of write -- and read transactions the master will perform as a part of this example memory test. DEBUG : INTEGER ); PORT ( l_ss_init : OUT STD_LOGIC; ppm_signal_in : IN STD_LOGIC; sample_clk : IN STD_LOGIC; ppm_irq_single : OUT STD_LOGIC; ppm_irq_complete : OUT STD_LOGIC; d_axi_done : OUT STD_LOGIC; d_axi_start : OUT STD_LOGIC; d_axi_data : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_axi_addr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_cr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_sr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_flight : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_awaddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_awvalid : IN STD_LOGIC; s00_axi_awready : OUT STD_LOGIC; s00_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_wvalid : IN STD_LOGIC; s00_axi_wready : OUT STD_LOGIC; s00_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_bvalid : OUT STD_LOGIC; s00_axi_bready : IN STD_LOGIC; s00_axi_araddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_arvalid : IN STD_LOGIC; s00_axi_arready : OUT STD_LOGIC; s00_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_rvalid : OUT STD_LOGIC; s00_axi_rready : IN STD_LOGIC; s00_axi_aclk : IN STD_LOGIC; s00_axi_aresetn : IN STD_LOGIC; s01_axi_awaddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_awvalid : IN STD_LOGIC; s01_axi_awready : OUT STD_LOGIC; s01_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s01_axi_wvalid : IN STD_LOGIC; s01_axi_wready : OUT STD_LOGIC; s01_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_bvalid : OUT STD_LOGIC; s01_axi_bready : IN STD_LOGIC; s01_axi_araddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_arvalid : IN STD_LOGIC; s01_axi_arready : OUT STD_LOGIC; s01_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_rvalid : OUT STD_LOGIC; s01_axi_rready : IN STD_LOGIC; s01_axi_aclk : IN STD_LOGIC; s01_axi_aresetn : IN STD_LOGIC; m01_axi_awaddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_awprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_awvalid : OUT STD_LOGIC; m01_axi_awready : IN STD_LOGIC; m01_axi_wdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_wstrb : OUT STD_LOGIC_VECTOR(3 DOWNTO 0); m01_axi_wvalid : OUT STD_LOGIC; m01_axi_wready : IN STD_LOGIC; m01_axi_bresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_bvalid : IN STD_LOGIC; m01_axi_bready : OUT STD_LOGIC; m01_axi_araddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_arprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_arvalid : OUT STD_LOGIC; m01_axi_arready : IN STD_LOGIC; m01_axi_rdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_rresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_rvalid : IN STD_LOGIC; m01_axi_rready : OUT STD_LOGIC; m01_axi_aclk : IN STD_LOGIC; m01_axi_aresetn : IN STD_LOGIC ); END COMPONENT Syma_Ctrl_core_v1_1; ATTRIBUTE X_CORE_INFO : STRING; ATTRIBUTE X_CORE_INFO OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch: ARCHITECTURE IS "Syma_Ctrl_core_v1_1,Vivado 2014.4"; ATTRIBUTE CHECK_LICENSE_TYPE : STRING; ATTRIBUTE CHECK_LICENSE_TYPE OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch : ARCHITECTURE IS "Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0,Syma_Ctrl_core_v1_1,{}"; ATTRIBUTE X_INTERFACE_INFO : STRING; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 S00_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 S00_AXI_RST RST"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 S01_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 S01_AXI_RST RST"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 M01_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 M01_AXI_RST RST"; BEGIN U0 : Syma_Ctrl_core_v1_1 GENERIC MAP ( C_S00_AXI_DATA_WIDTH => 32, C_S00_AXI_ADDR_WIDTH => 4, C_S01_AXI_DATA_WIDTH => 32, C_S01_AXI_ADDR_WIDTH => 5, C_M01_AXI_START_DATA_VALUE => X"AA000000", C_M01_AXI_TARGET_SLAVE_BASE_ADDR => X"44A00000", C_M01_AXI_ADDR_WIDTH => 32, C_M01_AXI_DATA_WIDTH => 32, C_M01_AXI_TRANSACTIONS_NUM => 1, DEBUG => 0 ) PORT MAP ( l_ss_init => l_ss_init, ppm_signal_in => ppm_signal_in, sample_clk => sample_clk, ppm_irq_single => ppm_irq_single, ppm_irq_complete => ppm_irq_complete, s00_axi_awaddr => s00_axi_awaddr, s00_axi_awprot => s00_axi_awprot, s00_axi_awvalid => s00_axi_awvalid, s00_axi_awready => s00_axi_awready, s00_axi_wdata => s00_axi_wdata, s00_axi_wstrb => s00_axi_wstrb, s00_axi_wvalid => s00_axi_wvalid, s00_axi_wready => s00_axi_wready, s00_axi_bresp => s00_axi_bresp, s00_axi_bvalid => s00_axi_bvalid, s00_axi_bready => s00_axi_bready, s00_axi_araddr => s00_axi_araddr, s00_axi_arprot => s00_axi_arprot, s00_axi_arvalid => s00_axi_arvalid, s00_axi_arready => s00_axi_arready, s00_axi_rdata => s00_axi_rdata, s00_axi_rresp => s00_axi_rresp, s00_axi_rvalid => s00_axi_rvalid, s00_axi_rready => s00_axi_rready, s00_axi_aclk => s00_axi_aclk, s00_axi_aresetn => s00_axi_aresetn, s01_axi_awaddr => s01_axi_awaddr, s01_axi_awprot => s01_axi_awprot, s01_axi_awvalid => s01_axi_awvalid, s01_axi_awready => s01_axi_awready, s01_axi_wdata => s01_axi_wdata, s01_axi_wstrb => s01_axi_wstrb, s01_axi_wvalid => s01_axi_wvalid, s01_axi_wready => s01_axi_wready, s01_axi_bresp => s01_axi_bresp, s01_axi_bvalid => s01_axi_bvalid, s01_axi_bready => s01_axi_bready, s01_axi_araddr => s01_axi_araddr, s01_axi_arprot => s01_axi_arprot, s01_axi_arvalid => s01_axi_arvalid, s01_axi_arready => s01_axi_arready, s01_axi_rdata => s01_axi_rdata, s01_axi_rresp => s01_axi_rresp, s01_axi_rvalid => s01_axi_rvalid, s01_axi_rready => s01_axi_rready, s01_axi_aclk => s01_axi_aclk, s01_axi_aresetn => s01_axi_aresetn, m01_axi_awaddr => m01_axi_awaddr, m01_axi_awprot => m01_axi_awprot, m01_axi_awvalid => m01_axi_awvalid, m01_axi_awready => m01_axi_awready, m01_axi_wdata => m01_axi_wdata, m01_axi_wstrb => m01_axi_wstrb, m01_axi_wvalid => m01_axi_wvalid, m01_axi_wready => m01_axi_wready, m01_axi_bresp => m01_axi_bresp, m01_axi_bvalid => m01_axi_bvalid, m01_axi_bready => m01_axi_bready, m01_axi_araddr => m01_axi_araddr, m01_axi_arprot => m01_axi_arprot, m01_axi_arvalid => m01_axi_arvalid, m01_axi_arready => m01_axi_arready, m01_axi_rdata => m01_axi_rdata, m01_axi_rresp => m01_axi_rresp, m01_axi_rvalid => m01_axi_rvalid, m01_axi_rready => m01_axi_rready, m01_axi_aclk => m01_axi_aclk, m01_axi_aresetn => m01_axi_aresetn ); END Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch;
-- (c) Copyright 1995-2015 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -- -- DO NOT MODIFY THIS FILE. -- IP VLNV: rcs.ei.tum.de:user:Syma_Ctrl_core:1.2 -- IP Revision: 18 LIBRARY ieee; USE ieee.std_logic_1164.ALL; USE ieee.numeric_std.ALL; ENTITY Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0 IS PORT ( l_ss_init : OUT STD_LOGIC; ppm_signal_in : IN STD_LOGIC; sample_clk : IN STD_LOGIC; ppm_irq_single : OUT STD_LOGIC; ppm_irq_complete : OUT STD_LOGIC; s00_axi_awaddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_awvalid : IN STD_LOGIC; s00_axi_awready : OUT STD_LOGIC; s00_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_wvalid : IN STD_LOGIC; s00_axi_wready : OUT STD_LOGIC; s00_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_bvalid : OUT STD_LOGIC; s00_axi_bready : IN STD_LOGIC; s00_axi_araddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_arvalid : IN STD_LOGIC; s00_axi_arready : OUT STD_LOGIC; s00_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_rvalid : OUT STD_LOGIC; s00_axi_rready : IN STD_LOGIC; s00_axi_aclk : IN STD_LOGIC; s00_axi_aresetn : IN STD_LOGIC; s01_axi_awaddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_awvalid : IN STD_LOGIC; s01_axi_awready : OUT STD_LOGIC; s01_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s01_axi_wvalid : IN STD_LOGIC; s01_axi_wready : OUT STD_LOGIC; s01_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_bvalid : OUT STD_LOGIC; s01_axi_bready : IN STD_LOGIC; s01_axi_araddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_arvalid : IN STD_LOGIC; s01_axi_arready : OUT STD_LOGIC; s01_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_rvalid : OUT STD_LOGIC; s01_axi_rready : IN STD_LOGIC; s01_axi_aclk : IN STD_LOGIC; s01_axi_aresetn : IN STD_LOGIC; m01_axi_awaddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_awprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_awvalid : OUT STD_LOGIC; m01_axi_awready : IN STD_LOGIC; m01_axi_wdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_wstrb : OUT STD_LOGIC_VECTOR(3 DOWNTO 0); m01_axi_wvalid : OUT STD_LOGIC; m01_axi_wready : IN STD_LOGIC; m01_axi_bresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_bvalid : IN STD_LOGIC; m01_axi_bready : OUT STD_LOGIC; m01_axi_araddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_arprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_arvalid : OUT STD_LOGIC; m01_axi_arready : IN STD_LOGIC; m01_axi_rdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_rresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_rvalid : IN STD_LOGIC; m01_axi_rready : OUT STD_LOGIC; m01_axi_aclk : IN STD_LOGIC; m01_axi_aresetn : IN STD_LOGIC ); END Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0; ARCHITECTURE Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0 IS ATTRIBUTE DowngradeIPIdentifiedWarnings : string; ATTRIBUTE DowngradeIPIdentifiedWarnings OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch: ARCHITECTURE IS "yes"; COMPONENT Syma_Ctrl_core_v1_1 IS GENERIC ( C_S00_AXI_DATA_WIDTH : INTEGER; -- Width of S_AXI data bus C_S00_AXI_ADDR_WIDTH : INTEGER; -- Width of S_AXI address bus C_S01_AXI_DATA_WIDTH : INTEGER; -- Width of S_AXI data bus C_S01_AXI_ADDR_WIDTH : INTEGER; -- Width of S_AXI address bus C_M01_AXI_START_DATA_VALUE : STD_LOGIC_VECTOR; -- The master will start generating data from the C_M_START_DATA_VALUE value C_M01_AXI_TARGET_SLAVE_BASE_ADDR : STD_LOGIC_VECTOR; -- The master requires a target slave base address. -- The master will initiate read and write transactions on the slave with base address specified here as a parameter. C_M01_AXI_ADDR_WIDTH : INTEGER; -- Width of M_AXI address bus. -- The master generates the read and write addresses of width specified as C_M_AXI_ADDR_WIDTH. C_M01_AXI_DATA_WIDTH : INTEGER; -- Width of M_AXI data bus. -- The master issues write data and accept read data where the width of the data bus is C_M_AXI_DATA_WIDTH C_M01_AXI_TRANSACTIONS_NUM : INTEGER; -- Transaction number is the number of write -- and read transactions the master will perform as a part of this example memory test. DEBUG : INTEGER ); PORT ( l_ss_init : OUT STD_LOGIC; ppm_signal_in : IN STD_LOGIC; sample_clk : IN STD_LOGIC; ppm_irq_single : OUT STD_LOGIC; ppm_irq_complete : OUT STD_LOGIC; d_axi_done : OUT STD_LOGIC; d_axi_start : OUT STD_LOGIC; d_axi_data : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_axi_addr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_cr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_sr : OUT STD_LOGIC_VECTOR(7 DOWNTO 0); d_slave_flight : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_awaddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_awvalid : IN STD_LOGIC; s00_axi_awready : OUT STD_LOGIC; s00_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_wvalid : IN STD_LOGIC; s00_axi_wready : OUT STD_LOGIC; s00_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_bvalid : OUT STD_LOGIC; s00_axi_bready : IN STD_LOGIC; s00_axi_araddr : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s00_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s00_axi_arvalid : IN STD_LOGIC; s00_axi_arready : OUT STD_LOGIC; s00_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s00_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s00_axi_rvalid : OUT STD_LOGIC; s00_axi_rready : IN STD_LOGIC; s00_axi_aclk : IN STD_LOGIC; s00_axi_aresetn : IN STD_LOGIC; s01_axi_awaddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_awprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_awvalid : IN STD_LOGIC; s01_axi_awready : OUT STD_LOGIC; s01_axi_wdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_wstrb : IN STD_LOGIC_VECTOR(3 DOWNTO 0); s01_axi_wvalid : IN STD_LOGIC; s01_axi_wready : OUT STD_LOGIC; s01_axi_bresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_bvalid : OUT STD_LOGIC; s01_axi_bready : IN STD_LOGIC; s01_axi_araddr : IN STD_LOGIC_VECTOR(4 DOWNTO 0); s01_axi_arprot : IN STD_LOGIC_VECTOR(2 DOWNTO 0); s01_axi_arvalid : IN STD_LOGIC; s01_axi_arready : OUT STD_LOGIC; s01_axi_rdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); s01_axi_rresp : OUT STD_LOGIC_VECTOR(1 DOWNTO 0); s01_axi_rvalid : OUT STD_LOGIC; s01_axi_rready : IN STD_LOGIC; s01_axi_aclk : IN STD_LOGIC; s01_axi_aresetn : IN STD_LOGIC; m01_axi_awaddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_awprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_awvalid : OUT STD_LOGIC; m01_axi_awready : IN STD_LOGIC; m01_axi_wdata : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_wstrb : OUT STD_LOGIC_VECTOR(3 DOWNTO 0); m01_axi_wvalid : OUT STD_LOGIC; m01_axi_wready : IN STD_LOGIC; m01_axi_bresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_bvalid : IN STD_LOGIC; m01_axi_bready : OUT STD_LOGIC; m01_axi_araddr : OUT STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_arprot : OUT STD_LOGIC_VECTOR(2 DOWNTO 0); m01_axi_arvalid : OUT STD_LOGIC; m01_axi_arready : IN STD_LOGIC; m01_axi_rdata : IN STD_LOGIC_VECTOR(31 DOWNTO 0); m01_axi_rresp : IN STD_LOGIC_VECTOR(1 DOWNTO 0); m01_axi_rvalid : IN STD_LOGIC; m01_axi_rready : OUT STD_LOGIC; m01_axi_aclk : IN STD_LOGIC; m01_axi_aresetn : IN STD_LOGIC ); END COMPONENT Syma_Ctrl_core_v1_1; ATTRIBUTE X_CORE_INFO : STRING; ATTRIBUTE X_CORE_INFO OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch: ARCHITECTURE IS "Syma_Ctrl_core_v1_1,Vivado 2014.4"; ATTRIBUTE CHECK_LICENSE_TYPE : STRING; ATTRIBUTE CHECK_LICENSE_TYPE OF Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch : ARCHITECTURE IS "Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0,Syma_Ctrl_core_v1_1,{}"; ATTRIBUTE X_INTERFACE_INFO : STRING; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S00_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 S00_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF s00_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 S00_AXI_RST RST"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 S01_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 S01_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF s01_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 S01_AXI_RST RST"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awaddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWADDR"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWPROT"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_awready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI AWREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WDATA"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wstrb: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WSTRB"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_wready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI WREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BRESP"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_bready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI BREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_araddr: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARADDR"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arprot: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARPROT"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_arready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI ARREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rdata: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RDATA"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rresp: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RRESP"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rvalid: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RVALID"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_rready: SIGNAL IS "xilinx.com:interface:aximm:1.0 M01_AXI RREADY"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_aclk: SIGNAL IS "xilinx.com:signal:clock:1.0 M01_AXI_CLK CLK"; ATTRIBUTE X_INTERFACE_INFO OF m01_axi_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 M01_AXI_RST RST"; BEGIN U0 : Syma_Ctrl_core_v1_1 GENERIC MAP ( C_S00_AXI_DATA_WIDTH => 32, C_S00_AXI_ADDR_WIDTH => 4, C_S01_AXI_DATA_WIDTH => 32, C_S01_AXI_ADDR_WIDTH => 5, C_M01_AXI_START_DATA_VALUE => X"AA000000", C_M01_AXI_TARGET_SLAVE_BASE_ADDR => X"44A00000", C_M01_AXI_ADDR_WIDTH => 32, C_M01_AXI_DATA_WIDTH => 32, C_M01_AXI_TRANSACTIONS_NUM => 1, DEBUG => 0 ) PORT MAP ( l_ss_init => l_ss_init, ppm_signal_in => ppm_signal_in, sample_clk => sample_clk, ppm_irq_single => ppm_irq_single, ppm_irq_complete => ppm_irq_complete, s00_axi_awaddr => s00_axi_awaddr, s00_axi_awprot => s00_axi_awprot, s00_axi_awvalid => s00_axi_awvalid, s00_axi_awready => s00_axi_awready, s00_axi_wdata => s00_axi_wdata, s00_axi_wstrb => s00_axi_wstrb, s00_axi_wvalid => s00_axi_wvalid, s00_axi_wready => s00_axi_wready, s00_axi_bresp => s00_axi_bresp, s00_axi_bvalid => s00_axi_bvalid, s00_axi_bready => s00_axi_bready, s00_axi_araddr => s00_axi_araddr, s00_axi_arprot => s00_axi_arprot, s00_axi_arvalid => s00_axi_arvalid, s00_axi_arready => s00_axi_arready, s00_axi_rdata => s00_axi_rdata, s00_axi_rresp => s00_axi_rresp, s00_axi_rvalid => s00_axi_rvalid, s00_axi_rready => s00_axi_rready, s00_axi_aclk => s00_axi_aclk, s00_axi_aresetn => s00_axi_aresetn, s01_axi_awaddr => s01_axi_awaddr, s01_axi_awprot => s01_axi_awprot, s01_axi_awvalid => s01_axi_awvalid, s01_axi_awready => s01_axi_awready, s01_axi_wdata => s01_axi_wdata, s01_axi_wstrb => s01_axi_wstrb, s01_axi_wvalid => s01_axi_wvalid, s01_axi_wready => s01_axi_wready, s01_axi_bresp => s01_axi_bresp, s01_axi_bvalid => s01_axi_bvalid, s01_axi_bready => s01_axi_bready, s01_axi_araddr => s01_axi_araddr, s01_axi_arprot => s01_axi_arprot, s01_axi_arvalid => s01_axi_arvalid, s01_axi_arready => s01_axi_arready, s01_axi_rdata => s01_axi_rdata, s01_axi_rresp => s01_axi_rresp, s01_axi_rvalid => s01_axi_rvalid, s01_axi_rready => s01_axi_rready, s01_axi_aclk => s01_axi_aclk, s01_axi_aresetn => s01_axi_aresetn, m01_axi_awaddr => m01_axi_awaddr, m01_axi_awprot => m01_axi_awprot, m01_axi_awvalid => m01_axi_awvalid, m01_axi_awready => m01_axi_awready, m01_axi_wdata => m01_axi_wdata, m01_axi_wstrb => m01_axi_wstrb, m01_axi_wvalid => m01_axi_wvalid, m01_axi_wready => m01_axi_wready, m01_axi_bresp => m01_axi_bresp, m01_axi_bvalid => m01_axi_bvalid, m01_axi_bready => m01_axi_bready, m01_axi_araddr => m01_axi_araddr, m01_axi_arprot => m01_axi_arprot, m01_axi_arvalid => m01_axi_arvalid, m01_axi_arready => m01_axi_arready, m01_axi_rdata => m01_axi_rdata, m01_axi_rresp => m01_axi_rresp, m01_axi_rvalid => m01_axi_rvalid, m01_axi_rready => m01_axi_rready, m01_axi_aclk => m01_axi_aclk, m01_axi_aresetn => m01_axi_aresetn ); END Test_AXI_Master_simple_v1_0_hw_1_Syma_Ctrl_0_arch;
---------------------------------------------------------------------------------------------- -- This file is part of mblite_ip. -- -- mblite_ip is free software: you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- mblite_ip is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with mblite_ip. If not, see <http://www.gnu.org/licenses/>. -- -- Input file : std_Pkg.vhd -- Design name : std_Pkg -- Author : Tamar Kranenburg -- Company : Delft University of Technology -- : Faculty EEMCS, Department ME&CE -- : Systems and Circuits group -- -- Description : Package with several standard components. -- ---------------------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; PACKAGE std_pkg IS ---------------------------------------------------------------------------------------------- -- STANDARD COMPONENTS IN STD_PKG ---------------------------------------------------------------------------------------------- component sram generic ( WIDTH : positive; SIZE : positive ); port ( dat_o : out std_logic_vector(WIDTH - 1 downto 0); dat_i : in std_logic_vector(WIDTH - 1 downto 0); adr_i : in std_logic_vector(SIZE - 1 downto 0); wre_i : in std_logic; ena_i : in std_logic; clk_i : in std_logic ); end component; component sram_4en generic ( WIDTH : positive; SIZE : positive ); port ( dat_o : out std_logic_vector(WIDTH - 1 downto 0); dat_i : in std_logic_vector(WIDTH - 1 downto 0); adr_i : in std_logic_vector(SIZE - 1 downto 0); wre_i : in std_logic_vector(3 downto 0); ena_i : in std_logic; clk_i : in std_logic ); end component; component dsram generic ( WIDTH : positive; SIZE : positive ); port ( dat_o : out std_logic_vector(WIDTH - 1 downto 0); adr_i : in std_logic_vector(SIZE - 1 downto 0); ena_i : in std_logic; dat_w_i : in std_logic_vector(WIDTH - 1 downto 0); adr_w_i : in std_logic_vector(SIZE - 1 downto 0); wre_i : in std_logic; clk_i : in std_logic ); end component; ---------------------------------------------------------------------------------------------- -- FUNCTIONS IN STD_PKG ---------------------------------------------------------------------------------------------- function v_or(d : std_logic_vector) return std_logic; function is_zero(d : std_logic_vector) return std_logic; function is_not_zero(d : std_logic_vector) return std_logic; function my_conv_integer(a: std_logic_vector) return integer; function notx(d : std_logic_vector) return boolean; function compare(a, b : std_logic_vector) return std_logic; function multiply(a, b : std_logic_vector) return std_logic_vector; function sign_extend(value: std_logic_vector; fill: std_logic; size: positive) return std_logic_vector; function add(a, b : std_logic_vector; ci: std_logic) return std_logic_vector; function increment(a : std_logic_vector) return std_logic_vector; function shift(value : std_logic_vector(31 downto 0); shamt: std_logic_vector(4 downto 0); s: std_logic; t: std_logic) return std_logic_vector; function shift_left(value : std_logic_vector(31 downto 0); shamt : std_logic_vector(4 downto 0)) return std_logic_vector; function shift_right(value : std_logic_vector(31 downto 0); shamt : std_logic_vector(4 downto 0); padding: std_logic) return std_logic_vector; end std_Pkg; PACKAGE BODY std_Pkg IS -- Unary OR reduction function v_or(d : std_logic_vector) return std_logic is variable z : std_logic; begin z := '0'; if notx (d) then for i in d'range loop z := z or d(i); end loop; end if; return z; end; -- Check for ones in the vector function is_not_zero(d : std_logic_vector) return std_logic is variable z : std_logic_vector(d'range); begin z := (others => '0'); if notx(d) then if d = z then return '0'; else return '1'; end if; else return '0'; end if; end; -- Check for ones in the vector function is_zero(d : std_logic_vector) return std_logic is begin return not is_not_zero(d); end; -- rewrite conv_integer to avoid modelsim warnings function my_conv_integer(a : std_logic_vector) return integer is variable res : integer range 0 to 2**a'length-1; begin res := 0; if (notx(a)) then res := to_integer(unsigned(a)); end if; return res; end; function compare(a, b : std_logic_vector) return std_logic is variable z : std_logic; begin if notx(a & b) and a = b then return '1'; else return '0'; end if; end; -- Unary NOT X test function notx(d : std_logic_vector) return boolean is variable res : boolean; begin res := true; -- pragma translate_off res := not is_x(d); -- pragma translate_on return (res); end; -- -- 32 bit shifter -- -- SYNOPSIS: -- -- value: value to be shifted -- -- shamt: shift amount -- -- s 0 / 1: shift right / left -- -- t 0 / 1: shift logical / arithmetic -- -- PSEUDOCODE (from microblaze reference guide) -- -- if S = 1 then -- -- (rD) = (rA) << (rB)[27:31] -- -- else -- -- if T = 1 then -- -- if ((rB)[27:31]) != 0 then -- -- (rD)[0:(rB)[27:31]-1] = (rA)[0] -- -- (rD)[(rB)[27:31]:31] = (rA) >> (rB)[27:31] -- -- else -- -- (rD) = (rA) -- -- else -- -- (rD) = (rA) >> (rB)[27:31] function shift(value: std_logic_vector(31 downto 0); shamt: std_logic_vector(4 downto 0); s: std_logic; t: std_logic) return std_logic_vector is begin if s = '1' then -- left arithmetic or logical shift return shift_left(value, shamt); else if t = '1' then -- right arithmetic shift return shift_right(value, shamt, value(31)); else -- right logical shift return shift_right(value, shamt, '0'); end if; end if; end; function shift_left(value: std_logic_vector(31 downto 0); shamt: std_logic_vector(4 downto 0)) return std_logic_vector is variable result: std_logic_vector(31 downto 0); variable paddings: std_logic_vector(15 downto 0); begin paddings := (others => '0'); result := value; if (shamt(4) = '1') then result := result(15 downto 0) & paddings(15 downto 0); end if; if (shamt(3) = '1') then result := result(23 downto 0) & paddings( 7 downto 0); end if; if (shamt(2) = '1') then result := result(27 downto 0) & paddings( 3 downto 0); end if; if (shamt(1) = '1') then result := result(29 downto 0) & paddings( 1 downto 0); end if; if (shamt(0) = '1') then result := result(30 downto 0) & paddings( 0 ); end if; return result; end; function shift_right(value: std_logic_vector(31 downto 0); shamt: std_logic_vector(4 downto 0); padding: std_logic) return std_logic_vector is variable result: std_logic_vector(31 downto 0); variable paddings: std_logic_vector(15 downto 0); begin paddings := (others => padding); result := value; if (shamt(4) = '1') then result := paddings(15 downto 0) & result(31 downto 16); end if; if (shamt(3) = '1') then result := paddings( 7 downto 0) & result(31 downto 8); end if; if (shamt(2) = '1') then result := paddings( 3 downto 0) & result(31 downto 4); end if; if (shamt(1) = '1') then result := paddings( 1 downto 0) & result(31 downto 2); end if; if (shamt(0) = '1') then result := paddings( 0 ) & result(31 downto 1); end if; return result; end; function multiply(a, b: std_logic_vector) return std_logic_vector is variable x: std_logic_vector (a'length + b'length - 1 downto 0); begin x := std_logic_vector(signed(a) * signed(b)); return x(31 downto 0); end; function sign_extend(value: std_logic_vector; fill: std_logic; size: positive) return std_logic_vector is variable a: std_logic_vector (size - 1 downto 0); begin a(size - 1 downto value'length) := (others => fill); a(value'length - 1 downto 0) := value; return a; end; function add(a, b : std_logic_vector; ci: std_logic) return std_logic_vector is variable x : std_logic_vector(a'length + 1 downto 0); begin x := (others => '0'); if notx (a & b & ci) then x := std_logic_vector(signed('0' & a & '1') + signed('0' & b & ci)); end if; return x(a'length + 1 downto 1); end; function increment(a : std_logic_vector) return std_logic_vector is variable x : std_logic_vector(a'length-1 downto 0); begin x := (others => '0'); if notx (a) then x := std_logic_vector(signed(a) + 1); end if; return x; end; end std_pkg;
------------------------------------------------------------------------------- -- Title : iMotor UART send ------------------------------------------------------------------------------- -- Standard : VHDL'87 ------------------------------------------------------------------------------- -- Description: Simple UART that sends parallel data serially. -- -- This implementation does not have an baud rate generator. As the intention -- of this entity is to be used in parallel a global baud rate generator is -- used. When new data is to be send the entity needs to wait for the first -- clock enable of the baud rate generator. Otherwise the length of the start -- bit would be different. -- -- The parity bit is always present. If parity is set to None it is set '1' -- which is interpreted as the stop bit. In this case there is one more -- stop bit then requested. ------------------------------------------------------------------------------- -- Copyright (c) 2013 strongly-typed ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; library work; use work.imotor_module_pkg.all; ------------------------------------------------------------------------------- entity imotor_uart_tx is generic ( START_BITS : positive := 1; DATA_BITS : positive := 8; STOP_BITS : positive := 1; PARITY : parity_type := None ); port ( data_in_p : in std_logic_vector(DATA_BITS - 1 downto 0); -- parallel -- data in start_in_p : in std_logic; -- start a transmission of data_in_p busy_out_p : out std_logic; -- high when busy txd_out_p : out std_logic; -- output to transceiver clock_tx_in_p : in std_logic; -- Bit clock for transmitter clk : in std_logic ); end imotor_uart_tx; ------------------------------------------------------------------------------- architecture behavioural of imotor_uart_tx is type imotor_uart_tx_state_type is ( IDLE, -- Idle state: STATE1, -- State 1: Request to send received, wait for first bit time. STATE2 -- State 2: Sending of bis in progress ); type imotor_uart_tx_type is record -- shift register -- Omitting -1 because of the parity bit sr : std_logic_vector (START_BITS + DATA_BITS + STOP_BITS downto 0); -- Number of bits -- One more for parity bit bitcnt : integer range 0 to START_BITS + DATA_BITS + 1 + STOP_BITS; state : imotor_uart_tx_state_type; end record; ----------------------------------------------------------------------------- -- Internal signal declarations ----------------------------------------------------------------------------- signal r, rin : imotor_uart_tx_type := (state => IDLE, sr => (others => '1'), bitcnt => START_BITS + DATA_BITS + 1 + STOP_BITS); ----------------------------------------------------------------------------- -- Component declarations ----------------------------------------------------------------------------- -- None here. If any: in package begin -- architecture behavourial ---------------------------------------------------------------------------- -- Connections between ports and signals ---------------------------------------------------------------------------- busy_out_p <= '1' when (start_in_p = '1' or r.state /= IDLE) else '0'; txd_out_p <= r.sr(0) when (r.state = STATE2) else '1'; ---------------------------------------------------------------------------- -- Sequential part of finite state machine (FSM) ---------------------------------------------------------------------------- seq_proc : process(clk) begin if rising_edge(clk) then r <= rin; end if; end process seq_proc; ---------------------------------------------------------------------------- -- Combinatorial part of FSM ---------------------------------------------------------------------------- comb_proc : process(clock_tx_in_p, data_in_p, r, start_in_p) variable v : imotor_uart_tx_type; variable parity_bit : std_logic := '1'; -- Computed parity, default '1' -- for parity = None begin -- Parity bit: parity_bit := '1'; for i in data_in_p'range loop parity_bit := parity_bit xor data_in_p(i); end loop; v := r; case r.state is when IDLE => if start_in_p = '1' then -- Set the shift register: -- STOP_BITS PARITY_BIT DATA_BITS START_BITS -- Upper bits: STOP_BITS set to '1': v.sr(START_BITS + DATA_BITS + STOP_BITS downto START_BITS + DATA_BITS + 1) := (others => '1'); -- Set parity bit in shift register case PARITY is when None => v.sr(START_BITS + DATA_BITS) := '1'; when Even => v.sr(START_BITS + DATA_BITS) := parity_bit; when Odd => v.sr(START_BITS + DATA_BITS) := not parity_bit; end case; -- Lower bits: START_BITS set to '0': v.sr(START_BITS - 1 downto 0) := (others => '0'); -- Middle bits: DATA_BITS v.sr(START_BITS + DATA_BITS - 1 downto START_BITS) := data_in_p; v.bitcnt := 0; v.state := STATE1; end if; when STATE1 => -- Bit clock enable arrived, send start bit now. if clock_tx_in_p = '1' then v.state := STATE2; end if; when STATE2 => if clock_tx_in_p = '1' then if v.bitcnt < (START_BITS + DATA_BITS + STOP_BITS) then -- Next bit v.bitcnt := r.bitcnt + 1; v.sr := '1' & r.sr(v.sr'left downto 1); else v.state := IDLE; end if; end if; when others => v.state := IDLE; end case; rin <= v; end process comb_proc; ----------------------------------------------------------------------------- -- Component instantiations ----------------------------------------------------------------------------- -- None. end behavioural;
------------------------------------------------------------------------------- -- Title : iMotor UART send ------------------------------------------------------------------------------- -- Standard : VHDL'87 ------------------------------------------------------------------------------- -- Description: Simple UART that sends parallel data serially. -- -- This implementation does not have an baud rate generator. As the intention -- of this entity is to be used in parallel a global baud rate generator is -- used. When new data is to be send the entity needs to wait for the first -- clock enable of the baud rate generator. Otherwise the length of the start -- bit would be different. -- -- The parity bit is always present. If parity is set to None it is set '1' -- which is interpreted as the stop bit. In this case there is one more -- stop bit then requested. ------------------------------------------------------------------------------- -- Copyright (c) 2013 strongly-typed ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; library work; use work.imotor_module_pkg.all; ------------------------------------------------------------------------------- entity imotor_uart_tx is generic ( START_BITS : positive := 1; DATA_BITS : positive := 8; STOP_BITS : positive := 1; PARITY : parity_type := None ); port ( data_in_p : in std_logic_vector(DATA_BITS - 1 downto 0); -- parallel -- data in start_in_p : in std_logic; -- start a transmission of data_in_p busy_out_p : out std_logic; -- high when busy txd_out_p : out std_logic; -- output to transceiver clock_tx_in_p : in std_logic; -- Bit clock for transmitter clk : in std_logic ); end imotor_uart_tx; ------------------------------------------------------------------------------- architecture behavioural of imotor_uart_tx is type imotor_uart_tx_state_type is ( IDLE, -- Idle state: STATE1, -- State 1: Request to send received, wait for first bit time. STATE2 -- State 2: Sending of bis in progress ); type imotor_uart_tx_type is record -- shift register -- Omitting -1 because of the parity bit sr : std_logic_vector (START_BITS + DATA_BITS + STOP_BITS downto 0); -- Number of bits -- One more for parity bit bitcnt : integer range 0 to START_BITS + DATA_BITS + 1 + STOP_BITS; state : imotor_uart_tx_state_type; end record; ----------------------------------------------------------------------------- -- Internal signal declarations ----------------------------------------------------------------------------- signal r, rin : imotor_uart_tx_type := (state => IDLE, sr => (others => '1'), bitcnt => START_BITS + DATA_BITS + 1 + STOP_BITS); ----------------------------------------------------------------------------- -- Component declarations ----------------------------------------------------------------------------- -- None here. If any: in package begin -- architecture behavourial ---------------------------------------------------------------------------- -- Connections between ports and signals ---------------------------------------------------------------------------- busy_out_p <= '1' when (start_in_p = '1' or r.state /= IDLE) else '0'; txd_out_p <= r.sr(0) when (r.state = STATE2) else '1'; ---------------------------------------------------------------------------- -- Sequential part of finite state machine (FSM) ---------------------------------------------------------------------------- seq_proc : process(clk) begin if rising_edge(clk) then r <= rin; end if; end process seq_proc; ---------------------------------------------------------------------------- -- Combinatorial part of FSM ---------------------------------------------------------------------------- comb_proc : process(clock_tx_in_p, data_in_p, r, start_in_p) variable v : imotor_uart_tx_type; variable parity_bit : std_logic := '1'; -- Computed parity, default '1' -- for parity = None begin -- Parity bit: parity_bit := '1'; for i in data_in_p'range loop parity_bit := parity_bit xor data_in_p(i); end loop; v := r; case r.state is when IDLE => if start_in_p = '1' then -- Set the shift register: -- STOP_BITS PARITY_BIT DATA_BITS START_BITS -- Upper bits: STOP_BITS set to '1': v.sr(START_BITS + DATA_BITS + STOP_BITS downto START_BITS + DATA_BITS + 1) := (others => '1'); -- Set parity bit in shift register case PARITY is when None => v.sr(START_BITS + DATA_BITS) := '1'; when Even => v.sr(START_BITS + DATA_BITS) := parity_bit; when Odd => v.sr(START_BITS + DATA_BITS) := not parity_bit; end case; -- Lower bits: START_BITS set to '0': v.sr(START_BITS - 1 downto 0) := (others => '0'); -- Middle bits: DATA_BITS v.sr(START_BITS + DATA_BITS - 1 downto START_BITS) := data_in_p; v.bitcnt := 0; v.state := STATE1; end if; when STATE1 => -- Bit clock enable arrived, send start bit now. if clock_tx_in_p = '1' then v.state := STATE2; end if; when STATE2 => if clock_tx_in_p = '1' then if v.bitcnt < (START_BITS + DATA_BITS + STOP_BITS) then -- Next bit v.bitcnt := r.bitcnt + 1; v.sr := '1' & r.sr(v.sr'left downto 1); else v.state := IDLE; end if; end if; when others => v.state := IDLE; end case; rin <= v; end process comb_proc; ----------------------------------------------------------------------------- -- Component instantiations ----------------------------------------------------------------------------- -- None. end behavioural;
--====================================================================== -- outport.vhd :: Digital Output Port -- -- (c) Scott L. Baker, Sierra Circuit Design --====================================================================== library IEEE; use IEEE.std_logic_1164.all; entity OUTPORT is port( CS : in std_logic; -- chip select WE : in std_logic; -- write enable WR_DATA : in std_logic_vector(7 downto 0); -- data in RD_DATA : out std_logic_vector(7 downto 0); -- data out RESET : in std_logic; -- system reset FCLK : in std_logic -- fast clock ); end entity OUTPORT; architecture BEHAVIORAL of OUTPORT is --================================================================= -- Signal definitions --================================================================= signal OREG : std_logic_vector( 7 downto 0); -- output reg begin --============================================= -- Output Register --============================================= OUTPUT_REG: process (FCLK) begin if (FCLK = '0' and FCLK'event) then if (CS = '1' and WE = '1') then OREG <= WR_DATA; end if; if (RESET = '1') then OREG <= (others => '0'); end if; end if; end process; RD_DATA <= OREG; end architecture BEHAVIORAL;
--====================================================================== -- outport.vhd :: Digital Output Port -- -- (c) Scott L. Baker, Sierra Circuit Design --====================================================================== library IEEE; use IEEE.std_logic_1164.all; entity OUTPORT is port( CS : in std_logic; -- chip select WE : in std_logic; -- write enable WR_DATA : in std_logic_vector(7 downto 0); -- data in RD_DATA : out std_logic_vector(7 downto 0); -- data out RESET : in std_logic; -- system reset FCLK : in std_logic -- fast clock ); end entity OUTPORT; architecture BEHAVIORAL of OUTPORT is --================================================================= -- Signal definitions --================================================================= signal OREG : std_logic_vector( 7 downto 0); -- output reg begin --============================================= -- Output Register --============================================= OUTPUT_REG: process (FCLK) begin if (FCLK = '0' and FCLK'event) then if (CS = '1' and WE = '1') then OREG <= WR_DATA; end if; if (RESET = '1') then OREG <= (others => '0'); end if; end if; end process; RD_DATA <= OREG; end architecture BEHAVIORAL;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1307.vhd,v 1.2 2001-10-26 16:29:39 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c08s04b00x00p06n01i01307ent IS END c08s04b00x00p06n01i01307ent; ARCHITECTURE c08s04b00x00p06n01i01307arch OF c08s04b00x00p06n01i01307ent IS type UA is array (NATURAL range <>) of BIT; subtype ARAY_1 is UA (0 to 500); signal S2 : ARAY_1; signal S1 : BIT := '1'; BEGIN TESTING: PROCESS BEGIN S2(200) <= S1; wait for 1 ns; assert NOT(S2(200) = '1') report "***PASSED TEST: c08s04b00x00p06n01i01307" severity NOTE; assert (S2(200) = '1') report "***FAILED TEST: c08s04b00x00p06n01i01307 - A indexed name can be used on the left-hand side of a signal assignment." severity ERROR; wait; END PROCESS TESTING; END c08s04b00x00p06n01i01307arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1307.vhd,v 1.2 2001-10-26 16:29:39 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c08s04b00x00p06n01i01307ent IS END c08s04b00x00p06n01i01307ent; ARCHITECTURE c08s04b00x00p06n01i01307arch OF c08s04b00x00p06n01i01307ent IS type UA is array (NATURAL range <>) of BIT; subtype ARAY_1 is UA (0 to 500); signal S2 : ARAY_1; signal S1 : BIT := '1'; BEGIN TESTING: PROCESS BEGIN S2(200) <= S1; wait for 1 ns; assert NOT(S2(200) = '1') report "***PASSED TEST: c08s04b00x00p06n01i01307" severity NOTE; assert (S2(200) = '1') report "***FAILED TEST: c08s04b00x00p06n01i01307 - A indexed name can be used on the left-hand side of a signal assignment." severity ERROR; wait; END PROCESS TESTING; END c08s04b00x00p06n01i01307arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc1307.vhd,v 1.2 2001-10-26 16:29:39 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c08s04b00x00p06n01i01307ent IS END c08s04b00x00p06n01i01307ent; ARCHITECTURE c08s04b00x00p06n01i01307arch OF c08s04b00x00p06n01i01307ent IS type UA is array (NATURAL range <>) of BIT; subtype ARAY_1 is UA (0 to 500); signal S2 : ARAY_1; signal S1 : BIT := '1'; BEGIN TESTING: PROCESS BEGIN S2(200) <= S1; wait for 1 ns; assert NOT(S2(200) = '1') report "***PASSED TEST: c08s04b00x00p06n01i01307" severity NOTE; assert (S2(200) = '1') report "***FAILED TEST: c08s04b00x00p06n01i01307 - A indexed name can be used on the left-hand side of a signal assignment." severity ERROR; wait; END PROCESS TESTING; END c08s04b00x00p06n01i01307arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc2273.vhd,v 1.2 2001-10-26 16:30:17 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c07s02b06x00p14n01i02273ent IS END c07s02b06x00p14n01i02273ent; ARCHITECTURE c07s02b06x00p14n01i02273arch OF c07s02b06x00p14n01i02273ent IS BEGIN TESTING: PROCESS variable T : TIME := 1 sec; BEGIN T := T * 10 sec; -- Failure_here -- SEMANTIC ERROR: if one operand is physical, then the other must -- an integer or floating point type. assert FALSE report "***FAILED TEST: c07s02b06x00p14n01i02273 - If one operand is of type physical, the other has to be of type integer or real." severity ERROR; wait; END PROCESS TESTING; END c07s02b06x00p14n01i02273arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc2273.vhd,v 1.2 2001-10-26 16:30:17 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c07s02b06x00p14n01i02273ent IS END c07s02b06x00p14n01i02273ent; ARCHITECTURE c07s02b06x00p14n01i02273arch OF c07s02b06x00p14n01i02273ent IS BEGIN TESTING: PROCESS variable T : TIME := 1 sec; BEGIN T := T * 10 sec; -- Failure_here -- SEMANTIC ERROR: if one operand is physical, then the other must -- an integer or floating point type. assert FALSE report "***FAILED TEST: c07s02b06x00p14n01i02273 - If one operand is of type physical, the other has to be of type integer or real." severity ERROR; wait; END PROCESS TESTING; END c07s02b06x00p14n01i02273arch;
-- Copyright (C) 2001 Bill Billowitch. -- Some of the work to develop this test suite was done with Air Force -- support. The Air Force and Bill Billowitch assume no -- responsibilities for this software. -- This file is part of VESTs (Vhdl tESTs). -- VESTs is free software; you can redistribute it and/or modify it -- under the terms of the GNU General Public License as published by the -- Free Software Foundation; either version 2 of the License, or (at -- your option) any later version. -- VESTs is distributed in the hope that it will be useful, but WITHOUT -- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or -- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License -- for more details. -- You should have received a copy of the GNU General Public License -- along with VESTs; if not, write to the Free Software Foundation, -- Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA -- --------------------------------------------------------------------- -- -- $Id: tc2273.vhd,v 1.2 2001-10-26 16:30:17 paw Exp $ -- $Revision: 1.2 $ -- -- --------------------------------------------------------------------- ENTITY c07s02b06x00p14n01i02273ent IS END c07s02b06x00p14n01i02273ent; ARCHITECTURE c07s02b06x00p14n01i02273arch OF c07s02b06x00p14n01i02273ent IS BEGIN TESTING: PROCESS variable T : TIME := 1 sec; BEGIN T := T * 10 sec; -- Failure_here -- SEMANTIC ERROR: if one operand is physical, then the other must -- an integer or floating point type. assert FALSE report "***FAILED TEST: c07s02b06x00p14n01i02273 - If one operand is of type physical, the other has to be of type integer or real." severity ERROR; wait; END PROCESS TESTING; END c07s02b06x00p14n01i02273arch;
library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; library work; use work.defs.all; use work.sincos.all; entity sampler is port (data : in signed14; decay : in unsigned(15 downto 0); rate : in unsigned8; q : out signed15; strobe : out std_logic; clk : in std_logic); end sampler; architecture sampler of sampler is signal low1, fb1, low2, decay2 : signed18; signal prod3, acc : signed36; signal data1, data2, data3, data4 : signed14; signal decay_off : boolean; signal divide : unsigned9; begin decay_off <= (decay = x"0000"); process variable q_acc_addend : signed15; begin wait until rising_edge(clk); if not decay_off then low1 <= data(13) & data(13) & data & "00"; fb1 <= acc(33 downto 16); low2 <= low1 - fb1; decay2 <= '0' & signed(decay) & '0'; prod3 <= low2 * decay2; acc <= acc + prod3; end if; data1 <= data; data2 <= data1; data3 <= data2; data4 <= data3; strobe <= divide(8); if divide(8) = '1' then divide <= ('0' & rate) - 1; if decay_off then q_acc_addend := (others => '0'); else q_acc_addend := acc(32 downto 18); end if; q <= data4 + q_acc_addend; else divide <= divide - 1; end if; end process; end sampler;
-- ------------------------------------------------------------------------------------------- -- Copyright © 2014, Xilinx, Inc. -- This file contains confidential and proprietary information of Xilinx, Inc. and is -- protected under U.S. and international copyright and other intellectual property laws. ------------------------------------------------------------------------------------------- -- -- Disclaimer: -- This disclaimer is not a license and does not grant any rights to the materials -- distributed herewith. Except as otherwise provided in a valid license issued to -- you by Xilinx, and to the maximum extent permitted by applicable law: (1) THESE -- MATERIALS ARE MADE AVAILABLE "AS IS" AND WITH ALL FAULTS, AND XILINX HEREBY -- DISCLAIMS ALL WARRANTIES AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, -- INCLUDING BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON-INFRINGEMENT, -- OR FITNESS FOR ANY PARTICULAR PURPOSE; and (2) Xilinx shall not be liable -- (whether in contract or tort, including negligence, or under any other theory -- of liability) for any loss or damage of any kind or nature related to, arising -- under or in connection with these materials, including for any direct, or any -- indirect, special, incidental, or consequential loss or damage (including loss -- of data, profits, goodwill, or any type of loss or damage suffered as a result -- of any action brought by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail-safe, or for use in any -- application requiring fail-safe performance, such as life-support or safety -- devices or systems, Class III medical devices, nuclear facilities, applications -- related to the deployment of airbags, or any other applications that could lead -- to death, personal injury, or severe property or environmental damage -- (individually and collectively, "Critical Applications"). Customer assumes the -- sole risk and liability of any use of Xilinx products in Critical Applications, -- subject only to applicable laws and regulations governing limitations on product -- liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS PART OF THIS FILE AT ALL TIMES. -- ------------------------------------------------------------------------------------------- -- -- -- Single Port RAM -- 4096 x 8-bits -- One RAMB36E1 primitive -- -- Ken Chapman -- Xilinx UK -- 24th July 2014 -- -- -- Standard IEEE libraries -- library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; -- -- The Unisim Library is used to define Xilinx primitives. It is also used during -- simulation. The source can be viewed at %XILINX%\vhdl\src\unisims\unisim_VCOMP.vhd -- library unisim; use unisim.vcomponents.all; -- -- entity ram_4096x8 is Port ( address : in std_logic_vector(11 downto 0); data_in : in std_logic_vector(7 downto 0); data_out : out std_logic_vector(7 downto 0); we : in std_logic; clk : in std_logic); end ram_4096x8; -- architecture low_level_definition of ram_4096x8 is -- signal address_a : std_logic_vector(15 downto 0); signal data_in_a : std_logic_vector(35 downto 0); signal we_a : std_logic_vector(3 downto 0); signal data_out_a : std_logic_vector(35 downto 0); signal address_b : std_logic_vector(15 downto 0); signal data_in_b : std_logic_vector(35 downto 0); signal data_out_b : std_logic_vector(35 downto 0); -- begin -- address_a <= '1' & address(11 downto 0) & "111"; data_in_a <= "000" & data_out_a(32) & "000000000000000000000000" & data_in; we_a <= we & we & we & we; data_out <= data_out_a(7 downto 0); -- address_b <= "1111111111111111"; data_in_b <= "000" & data_out_b(32) & "000000000000000000000000" & data_out_b(7 downto 0); -- ram_4096x8: RAMB36E1 generic map ( READ_WIDTH_A => 9, WRITE_WIDTH_A => 9, DOA_REG => 0, INIT_A => X"000000000", RSTREG_PRIORITY_A => "REGCE", SRVAL_A => X"000000000", WRITE_MODE_A => "WRITE_FIRST", READ_WIDTH_B => 9, WRITE_WIDTH_B => 9, DOB_REG => 0, INIT_B => X"000000000", RSTREG_PRIORITY_B => "REGCE", SRVAL_B => X"000000000", WRITE_MODE_B => "WRITE_FIRST", INIT_FILE => "NONE", SIM_COLLISION_CHECK => "ALL", RAM_MODE => "TDP", RDADDR_COLLISION_HWCONFIG => "DELAYED_WRITE", EN_ECC_READ => FALSE, EN_ECC_WRITE => FALSE, RAM_EXTENSION_A => "NONE", RAM_EXTENSION_B => "NONE", SIM_DEVICE => "7SERIES", INIT_00 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_01 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_02 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_03 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_04 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_05 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_06 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_07 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_08 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_09 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_0F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_10 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_11 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_12 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_13 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_14 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_15 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_16 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_17 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_18 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_19 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_1F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_20 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_21 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_22 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_23 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_24 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_25 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_26 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_27 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_28 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_29 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_2F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_30 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_31 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_32 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_33 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_34 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_35 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_36 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_37 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_38 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_39 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_3F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_40 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_41 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_42 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_43 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_44 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_45 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_46 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_47 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_48 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_49 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_4F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_50 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_51 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_52 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_53 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_54 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_55 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_56 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_57 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_58 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_59 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_5F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_60 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_61 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_62 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_63 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_64 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_65 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_66 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_67 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_68 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_69 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_6F => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_70 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_71 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_72 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_73 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_74 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_75 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_76 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_77 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_78 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_79 => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7A => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7B => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7C => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7D => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7E => X"0000000000000000000000000000000000000000000000000000000000000000", INIT_7F => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_00 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_01 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_02 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_03 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_04 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_05 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_06 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_07 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_08 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_09 => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0A => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0B => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0C => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0D => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0E => X"0000000000000000000000000000000000000000000000000000000000000000", INITP_0F => X"0000000000000000000000000000000000000000000000000000000000000000") port map( ADDRARDADDR => address_a, ENARDEN => '1', CLKARDCLK => clk, DOADO => data_out_a(31 downto 0), DOPADOP => data_out_a(35 downto 32), DIADI => data_in_a(31 downto 0), DIPADIP => data_in_a(35 downto 32), WEA => we_a, REGCEAREGCE => '0', RSTRAMARSTRAM => '0', RSTREGARSTREG => '0', ADDRBWRADDR => address_b, ENBWREN => '0', CLKBWRCLK => '0', DOBDO => data_out_b(31 downto 0), DOPBDOP => data_out_b(35 downto 32), DIBDI => data_in_b(31 downto 0), DIPBDIP => data_in_b(35 downto 32), WEBWE => "00000000", REGCEB => '0', RSTRAMB => '0', RSTREGB => '0', CASCADEINA => '0', CASCADEINB => '0', INJECTDBITERR => '0', INJECTSBITERR => '0'); -- -- end low_level_definition; -- ------------------------------------------------------------------------------------ -- -- END OF FILE ram_4096x8.vhd -- ------------------------------------------------------------------------------------
-- (c) Copyright 1995-2016 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -- -- DO NOT MODIFY THIS FILE. -- IP VLNV: xilinx.com:ip:proc_sys_reset:5.0 -- IP Revision: 6 LIBRARY ieee; USE ieee.std_logic_1164.ALL; USE ieee.numeric_std.ALL; LIBRARY proc_sys_reset_v5_0; USE proc_sys_reset_v5_0.proc_sys_reset; ENTITY Interface_Master_BD_rst_processing_system7_0_71M_0 IS PORT ( slowest_sync_clk : IN STD_LOGIC; ext_reset_in : IN STD_LOGIC; aux_reset_in : IN STD_LOGIC; mb_debug_sys_rst : IN STD_LOGIC; dcm_locked : IN STD_LOGIC; mb_reset : OUT STD_LOGIC; bus_struct_reset : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); peripheral_reset : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); interconnect_aresetn : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); peripheral_aresetn : OUT STD_LOGIC_VECTOR(0 DOWNTO 0) ); END Interface_Master_BD_rst_processing_system7_0_71M_0; ARCHITECTURE Interface_Master_BD_rst_processing_system7_0_71M_0_arch OF Interface_Master_BD_rst_processing_system7_0_71M_0 IS ATTRIBUTE DowngradeIPIdentifiedWarnings : string; ATTRIBUTE DowngradeIPIdentifiedWarnings OF Interface_Master_BD_rst_processing_system7_0_71M_0_arch: ARCHITECTURE IS "yes"; COMPONENT proc_sys_reset IS GENERIC ( C_FAMILY : STRING; C_EXT_RST_WIDTH : INTEGER; C_AUX_RST_WIDTH : INTEGER; C_EXT_RESET_HIGH : STD_LOGIC; C_AUX_RESET_HIGH : STD_LOGIC; C_NUM_BUS_RST : INTEGER; C_NUM_PERP_RST : INTEGER; C_NUM_INTERCONNECT_ARESETN : INTEGER; C_NUM_PERP_ARESETN : INTEGER ); PORT ( slowest_sync_clk : IN STD_LOGIC; ext_reset_in : IN STD_LOGIC; aux_reset_in : IN STD_LOGIC; mb_debug_sys_rst : IN STD_LOGIC; dcm_locked : IN STD_LOGIC; mb_reset : OUT STD_LOGIC; bus_struct_reset : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); peripheral_reset : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); interconnect_aresetn : OUT STD_LOGIC_VECTOR(0 DOWNTO 0); peripheral_aresetn : OUT STD_LOGIC_VECTOR(0 DOWNTO 0) ); END COMPONENT proc_sys_reset; ATTRIBUTE X_CORE_INFO : STRING; ATTRIBUTE X_CORE_INFO OF Interface_Master_BD_rst_processing_system7_0_71M_0_arch: ARCHITECTURE IS "proc_sys_reset,Vivado 2014.4"; ATTRIBUTE CHECK_LICENSE_TYPE : STRING; ATTRIBUTE CHECK_LICENSE_TYPE OF Interface_Master_BD_rst_processing_system7_0_71M_0_arch : ARCHITECTURE IS "Interface_Master_BD_rst_processing_system7_0_71M_0,proc_sys_reset,{}"; ATTRIBUTE CORE_GENERATION_INFO : STRING; ATTRIBUTE CORE_GENERATION_INFO OF Interface_Master_BD_rst_processing_system7_0_71M_0_arch: ARCHITECTURE IS "Interface_Master_BD_rst_processing_system7_0_71M_0,proc_sys_reset,{x_ipProduct=Vivado 2014.4,x_ipVendor=xilinx.com,x_ipLibrary=ip,x_ipName=proc_sys_reset,x_ipVersion=5.0,x_ipCoreRevision=6,x_ipLanguage=VHDL,x_ipSimLanguage=MIXED,C_FAMILY=zynq,C_EXT_RST_WIDTH=4,C_AUX_RST_WIDTH=4,C_EXT_RESET_HIGH=0,C_AUX_RESET_HIGH=0,C_NUM_BUS_RST=1,C_NUM_PERP_RST=1,C_NUM_INTERCONNECT_ARESETN=1,C_NUM_PERP_ARESETN=1}"; ATTRIBUTE X_INTERFACE_INFO : STRING; ATTRIBUTE X_INTERFACE_INFO OF slowest_sync_clk: SIGNAL IS "xilinx.com:signal:clock:1.0 clock CLK"; ATTRIBUTE X_INTERFACE_INFO OF ext_reset_in: SIGNAL IS "xilinx.com:signal:reset:1.0 ext_reset RST"; ATTRIBUTE X_INTERFACE_INFO OF aux_reset_in: SIGNAL IS "xilinx.com:signal:reset:1.0 aux_reset RST"; ATTRIBUTE X_INTERFACE_INFO OF mb_debug_sys_rst: SIGNAL IS "xilinx.com:signal:reset:1.0 dbg_reset RST"; ATTRIBUTE X_INTERFACE_INFO OF mb_reset: SIGNAL IS "xilinx.com:signal:reset:1.0 mb_rst RST"; ATTRIBUTE X_INTERFACE_INFO OF bus_struct_reset: SIGNAL IS "xilinx.com:signal:reset:1.0 bus_struct_reset RST"; ATTRIBUTE X_INTERFACE_INFO OF peripheral_reset: SIGNAL IS "xilinx.com:signal:reset:1.0 peripheral_high_rst RST"; ATTRIBUTE X_INTERFACE_INFO OF interconnect_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 interconnect_low_rst RST"; ATTRIBUTE X_INTERFACE_INFO OF peripheral_aresetn: SIGNAL IS "xilinx.com:signal:reset:1.0 peripheral_low_rst RST"; BEGIN U0 : proc_sys_reset GENERIC MAP ( C_FAMILY => "zynq", C_EXT_RST_WIDTH => 4, C_AUX_RST_WIDTH => 4, C_EXT_RESET_HIGH => '0', C_AUX_RESET_HIGH => '0', C_NUM_BUS_RST => 1, C_NUM_PERP_RST => 1, C_NUM_INTERCONNECT_ARESETN => 1, C_NUM_PERP_ARESETN => 1 ) PORT MAP ( slowest_sync_clk => slowest_sync_clk, ext_reset_in => ext_reset_in, aux_reset_in => aux_reset_in, mb_debug_sys_rst => mb_debug_sys_rst, dcm_locked => dcm_locked, mb_reset => mb_reset, bus_struct_reset => bus_struct_reset, peripheral_reset => peripheral_reset, interconnect_aresetn => interconnect_aresetn, peripheral_aresetn => peripheral_aresetn ); END Interface_Master_BD_rst_processing_system7_0_71M_0_arch;
-- logic_unit.vhd -- -- TODO: replace this with a better structural LOGIC UNIT. library ieee; use ieee.std_logic_1164.all; --use work.myTypes.all; entity logic_unit is generic ( SIZE : integer := 32 ); port ( IN1 : in std_logic_vector(SIZE - 1 downto 0); IN2 : in std_logic_vector(SIZE - 1 downto 0); CTRL : in std_logic_vector(1 downto 0); -- need to do only and, or and xor OUT1 : out std_logic_vector(SIZE - 1 downto 0) ); end logic_unit; architecture Bhe of logic_unit is begin OUT1 <= IN1 and IN2 when CTRL = "00" else IN1 or IN2 when CTRL = "01" else IN1 xor IN2 when CTRL = "10" else (others => '0'); -- should never appear end Bhe;
-- logic_unit.vhd -- -- TODO: replace this with a better structural LOGIC UNIT. library ieee; use ieee.std_logic_1164.all; --use work.myTypes.all; entity logic_unit is generic ( SIZE : integer := 32 ); port ( IN1 : in std_logic_vector(SIZE - 1 downto 0); IN2 : in std_logic_vector(SIZE - 1 downto 0); CTRL : in std_logic_vector(1 downto 0); -- need to do only and, or and xor OUT1 : out std_logic_vector(SIZE - 1 downto 0) ); end logic_unit; architecture Bhe of logic_unit is begin OUT1 <= IN1 and IN2 when CTRL = "00" else IN1 or IN2 when CTRL = "01" else IN1 xor IN2 when CTRL = "10" else (others => '0'); -- should never appear end Bhe;
package pkg is constant cst : natural := 5; end pkg;
package sim_types_pkg is type descriptor_t is record --address : std_ulogic_vector(dma_addr_range); --length : std_ulogic_vector(dma_len_range); address : natural; length : positive; end record; procedure call_report (v : natural); end package; package body sim_types_pkg is procedure call_report (v : natural) is begin report "call_report " & natural'image(v) severity note; end call_report; end sim_types_pkg;
library std; use std.env.all; library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity SMSMapper_tb is end SMSMapper_tb; architecture rtl of SMSMapper_tb is --input from sms signal ADDR : std_logic_vector(15 downto 0); signal DATA : std_logic_vector(7 downto 0); signal nRST : std_logic; signal nWR : std_logic; signal nCE : std_logic; --output to ROM signal nROMWE : std_logic; signal nROMCE : std_logic; signal ROMADDR1914 : std_logic_vector(5 downto 0); --output to serial EEPROM signal EE_CS : std_logic; signal EE_SO : std_logic; signal EE_SI : std_logic; signal EE_SCK : std_logic; --output to SRAM signal nSRAMCE : std_logic; signal nSRAMWE : std_logic; signal SRAMADDR14 : std_logic; begin SMSMapper_u0: entity work.SMSMapper port map( ADDR_p => ADDR, DATA_p => DATA, nRST_p => nRST, nWR_p => nWR, nCE_p => nCE, nROMWE_p => nROMWE, nROMCE_p => nROMCE, ROMADDR1914_p => ROMADDR1914, EE_CS_p => EE_CS, EE_SO_p => EE_SO, EE_SI_p => EE_SI, EE_SCK_p => EE_SCK, nSRAMCE_p => nSRAMCE, nSRAMWE_p => nSRAMWE, SRAMADDR14_p => SRAMADDR14 ); sim: process begin nRST <= '0'; DATA <= ( others => 'Z'); nROMWE <= 'H'; nROMCE <= 'H'; ROMADDR1914 <= (others => 'H'); ADDR <= ( others => '1'); nCE <= '1'; nWR <= '1'; wait for 10 ns; nRST <= '1'; DATA <= x"04"; ADDR <= x"FFFD"; wait for 5 ns; nCE <= '0'; nWR <= '0'; wait for 15 ns; nCE <= '1'; nWR <= '1'; wait for 5 ns; ADDR <= x"2000"; wait for 5 ns; nCE <= '0'; wait for 15 ns; nCE <= '1'; wait for 5 ns; stop(0); end process; end architecture;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- -- This source file is an essential part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package defines a standard for designers to use in -- describing VHDL models that make use of common REAL constants -- and common REAL elementary mathematical functions. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076- -- 1993. -- -- Notes: -- No declarations or definitions shall be included in, or -- excluded from, this package. -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to provide a guideline for implementations to -- verify their implementation of MATH_REAL. Tool developers may -- choose to implement the package body in the most efficient -- manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package MATH_REAL is constant CopyRightNotice: STRING := "Copyright 1996 IEEE. All rights reserved."; -- -- Constant Definitions -- constant MATH_E : REAL := 2.71828_18284_59045_23536; -- Value of e constant MATH_1_OVER_E : REAL := 0.36787_94411_71442_32160; -- Value of 1/e constant MATH_PI : REAL := 3.14159_26535_89793_23846; -- Value of pi constant MATH_2_PI : REAL := 6.28318_53071_79586_47693; -- Value of 2*pi constant MATH_1_OVER_PI : REAL := 0.31830_98861_83790_67154; -- Value of 1/pi constant MATH_PI_OVER_2 : REAL := 1.57079_63267_94896_61923; -- Value of pi/2 constant MATH_PI_OVER_3 : REAL := 1.04719_75511_96597_74615; -- Value of pi/3 constant MATH_PI_OVER_4 : REAL := 0.78539_81633_97448_30962; -- Value of pi/4 constant MATH_3_PI_OVER_2 : REAL := 4.71238_89803_84689_85769; -- Value 3*pi/2 constant MATH_LOG_OF_2 : REAL := 0.69314_71805_59945_30942; -- Natural log of 2 constant MATH_LOG_OF_10 : REAL := 2.30258_50929_94045_68402; -- Natural log of 10 constant MATH_LOG2_OF_E : REAL := 1.44269_50408_88963_4074; -- Log base 2 of e constant MATH_LOG10_OF_E: REAL := 0.43429_44819_03251_82765; -- Log base 10 of e constant MATH_SQRT_2: REAL := 1.41421_35623_73095_04880; -- square root of 2 constant MATH_1_OVER_SQRT_2: REAL := 0.70710_67811_86547_52440; -- square root of 1/2 constant MATH_SQRT_PI: REAL := 1.77245_38509_05516_02730; -- square root of pi constant MATH_DEG_TO_RAD: REAL := 0.01745_32925_19943_29577; -- Conversion factor from degree to radian constant MATH_RAD_TO_DEG: REAL := 57.29577_95130_82320_87680; -- Conversion factor from radian to degree -- -- Function Declarations -- function SIGN (X: in REAL ) return REAL; -- Purpose: -- Returns 1.0 if X > 0.0; 0.0 if X = 0.0; -1.0 if X < 0.0 -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIGN(X)) <= 1.0 -- Notes: -- None function CEIL (X : in REAL ) return REAL; -- Purpose: -- Returns smallest INTEGER value (as REAL) not less than X -- Special values: -- None -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CEIL(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function FLOOR (X : in REAL ) return REAL; -- Purpose: -- Returns largest INTEGER value (as REAL) not greater than X -- Special values: -- FLOOR(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- FLOOR(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function ROUND (X : in REAL ) return REAL; -- Purpose: -- Rounds X to the nearest integer value (as real). If X is -- halfway between two integers, rounding is away from 0.0 -- Special values: -- ROUND(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ROUND(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function TRUNC (X : in REAL ) return REAL; -- Purpose: -- Truncates X towards 0.0 and returns truncated value -- Special values: -- TRUNC(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- TRUNC(X) is mathematically unbounded -- Notes: -- a) Implementations have to support at least the domain -- ABS(X) < REAL(INTEGER'HIGH) function "MOD" (X, Y: in REAL ) return REAL; -- Purpose: -- Returns floating point modulus of X/Y, with the same sign as -- Y, and absolute value less than the absolute value of Y, and -- for some INTEGER value N the result satisfies the relation -- X = Y*N + MOD(X,Y) -- Special values: -- None -- Domain: -- X in REAL; Y in REAL and Y /= 0.0 -- Error conditions: -- Error if Y = 0.0 -- Range: -- ABS(MOD(X,Y)) < ABS(Y) -- Notes: -- None function REALMAX (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically larger of X and Y -- Special values: -- REALMAX(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMAX(X,Y) is mathematically unbounded -- Notes: -- None function REALMIN (X, Y : in REAL ) return REAL; -- Purpose: -- Returns the algebraically smaller of X and Y -- Special values: -- REALMIN(X,Y) = X when X = Y -- Domain: -- X in REAL; Y in REAL -- Error conditions: -- None -- Range: -- REALMIN(X,Y) is mathematically unbounded -- Notes: -- None procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE; variable X:out REAL); -- Purpose: -- Returns, in X, a pseudo-random number with uniform -- distribution in the open interval (0.0, 1.0). -- Special values: -- None -- Domain: -- 1 <= SEED1 <= 2147483562; 1 <= SEED2 <= 2147483398 -- Error conditions: -- Error if SEED1 or SEED2 outside of valid domain -- Range: -- 0.0 < X < 1.0 -- Notes: -- a) The semantics for this function are described by the -- algorithm published by Pierre L'Ecuyer in "Communications -- of the ACM," vol. 31, no. 6, June 1988, pp. 742-774. -- The algorithm is based on the combination of two -- multiplicative linear congruential generators for 32-bit -- platforms. -- -- b) Before the first call to UNIFORM, the seed values -- (SEED1, SEED2) have to be initialized to values in the range -- [1, 2147483562] and [1, 2147483398] respectively. The -- seed values are modified after each call to UNIFORM. -- -- c) This random number generator is portable for 32-bit -- computers, and it has a period of ~2.30584*(10**18) for each -- set of seed values. -- -- d) For information on spectral tests for the algorithm, refer -- to the L'Ecuyer article. function SQRT (X : in REAL ) return REAL; -- Purpose: -- Returns square root of X -- Special values: -- SQRT(0.0) = 0.0 -- SQRT(1.0) = 1.0 -- Domain: -- X >= 0.0 -- Error conditions: -- Error if X < 0.0 -- Range: -- SQRT(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of SQRT is -- approximately given by: -- SQRT(X) <= SQRT(REAL'HIGH) function CBRT (X : in REAL ) return REAL; -- Purpose: -- Returns cube root of X -- Special values: -- CBRT(0.0) = 0.0 -- CBRT(1.0) = 1.0 -- CBRT(-1.0) = -1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- CBRT(X) is mathematically unbounded -- Notes: -- a) The reachable range of CBRT is approximately given by: -- ABS(CBRT(X)) <= CBRT(REAL'HIGH) function "**" (X : in INTEGER; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0 -- 0**Y = 0.0; Y > 0.0 -- X**1.0 = REAL(X); X >= 0 -- 1**Y = 1.0 -- Domain: -- X > 0 -- X = 0 for Y > 0.0 -- X < 0 for Y = 0.0 -- Error conditions: -- Error if X < 0 and Y /= 0.0 -- Error if X = 0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function "**" (X : in REAL; Y : in REAL) return REAL; -- Purpose: -- Returns Y power of X ==> X**Y -- Special values: -- X**0.0 = 1.0; X /= 0.0 -- 0.0**Y = 0.0; Y > 0.0 -- X**1.0 = X; X >= 0.0 -- 1.0**Y = 1.0 -- Domain: -- X > 0.0 -- X = 0.0 for Y > 0.0 -- X < 0.0 for Y = 0.0 -- Error conditions: -- Error if X < 0.0 and Y /= 0.0 -- Error if X = 0.0 and Y <= 0.0 -- Range: -- X**Y >= 0.0 -- Notes: -- a) The upper bound of the reachable range for "**" is -- approximately given by: -- X**Y <= REAL'HIGH function EXP (X : in REAL ) return REAL; -- Purpose: -- Returns e**X; where e = MATH_E -- Special values: -- EXP(0.0) = 1.0 -- EXP(1.0) = MATH_E -- EXP(-1.0) = MATH_1_OVER_E -- EXP(X) = 0.0 for X <= -LOG(REAL'HIGH) -- Domain: -- X in REAL such that EXP(X) <= REAL'HIGH -- Error conditions: -- Error if X > LOG(REAL'HIGH) -- Range: -- EXP(X) >= 0.0 -- Notes: -- a) The usable domain of EXP is approximately given by: -- X <= LOG(REAL'HIGH) function LOG (X : in REAL ) return REAL; -- Purpose: -- Returns natural logarithm of X -- Special values: -- LOG(1.0) = 0.0 -- LOG(MATH_E) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG is approximately given by: -- LOG(0+) <= LOG(X) <= LOG(REAL'HIGH) function LOG2 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 2 of X -- Special values: -- LOG2(1.0) = 0.0 -- LOG2(2.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG2(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG2 is approximately given by: -- LOG2(0+) <= LOG2(X) <= LOG2(REAL'HIGH) function LOG10 (X : in REAL ) return REAL; -- Purpose: -- Returns logarithm base 10 of X -- Special values: -- LOG10(1.0) = 0.0 -- LOG10(10.0) = 1.0 -- Domain: -- X > 0.0 -- Error conditions: -- Error if X <= 0.0 -- Range: -- LOG10(X) is mathematically unbounded -- Notes: -- a) The reachable range of LOG10 is approximately given by: -- LOG10(0+) <= LOG10(X) <= LOG10(REAL'HIGH) function LOG (X: in REAL; BASE: in REAL) return REAL; -- Purpose: -- Returns logarithm base BASE of X -- Special values: -- LOG(1.0, BASE) = 0.0 -- LOG(BASE, BASE) = 1.0 -- Domain: -- X > 0.0 -- BASE > 0.0 -- BASE /= 1.0 -- Error conditions: -- Error if X <= 0.0 -- Error if BASE <= 0.0 -- Error if BASE = 1.0 -- Range: -- LOG(X, BASE) is mathematically unbounded -- Notes: -- a) When BASE > 1.0, the reachable range of LOG is -- approximately given by: -- LOG(0+, BASE) <= LOG(X, BASE) <= LOG(REAL'HIGH, BASE) -- b) When 0.0 < BASE < 1.0, the reachable range of LOG is -- approximately given by: -- LOG(REAL'HIGH, BASE) <= LOG(X, BASE) <= LOG(0+, BASE) function SIN (X : in REAL ) return REAL; -- Purpose: -- Returns sine of X; X in radians -- Special values: -- SIN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- SIN(X) = 1.0 for X = (4*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- SIN(X) = -1.0 for X = (4*k+3)*MATH_PI_OVER_2, where k is an -- INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(SIN(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function COS ( X : in REAL ) return REAL; -- Purpose: -- Returns cosine of X; X in radians -- Special values: -- COS(X) = 0.0 for X = (2*k+1)*MATH_PI_OVER_2, where k is an -- INTEGER -- COS(X) = 1.0 for X = (2*k)*MATH_PI, where k is an INTEGER -- COS(X) = -1.0 for X = (2*k+1)*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(COS(X)) <= 1.0 -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function TAN (X : in REAL ) return REAL; -- Purpose: -- Returns tangent of X; X in radians -- Special values: -- TAN(X) = 0.0 for X = k*MATH_PI, where k is an INTEGER -- Domain: -- X in REAL and -- X /= (2*k+1)*MATH_PI_OVER_2, where k is an INTEGER -- Error conditions: -- Error if X = ((2*k+1) * MATH_PI_OVER_2), where k is an -- INTEGER -- Range: -- TAN(X) is mathematically unbounded -- Notes: -- a) For larger values of ABS(X), degraded accuracy is allowed. function ARCSIN (X : in REAL ) return REAL; -- Purpose: -- Returns inverse sine of X -- Special values: -- ARCSIN(0.0) = 0.0 -- ARCSIN(1.0) = MATH_PI_OVER_2 -- ARCSIN(-1.0) = -MATH_PI_OVER_2 -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- ABS(ARCSIN(X) <= MATH_PI_OVER_2 -- Notes: -- None function ARCCOS (X : in REAL ) return REAL; -- Purpose: -- Returns inverse cosine of X -- Special values: -- ARCCOS(1.0) = 0.0 -- ARCCOS(0.0) = MATH_PI_OVER_2 -- ARCCOS(-1.0) = MATH_PI -- Domain: -- ABS(X) <= 1.0 -- Error conditions: -- Error if ABS(X) > 1.0 -- Range: -- 0.0 <= ARCCOS(X) <= MATH_PI -- Notes: -- None function ARCTAN (Y : in REAL) return REAL; -- Purpose: -- Returns the value of the angle in radians of the point -- (1.0, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0) = 0.0 -- Domain: -- Y in REAL -- Error conditions: -- None -- Range: -- ABS(ARCTAN(Y)) <= MATH_PI_OVER_2 -- Notes: -- None function ARCTAN (Y : in REAL; X : in REAL) return REAL; -- Purpose: -- Returns the principal value of the angle in radians of -- the point (X, Y), which is in rectangular coordinates -- Special values: -- ARCTAN(0.0, X) = 0.0 if X > 0.0 -- ARCTAN(0.0, X) = MATH_PI if X < 0.0 -- ARCTAN(Y, 0.0) = MATH_PI_OVER_2 if Y > 0.0 -- ARCTAN(Y, 0.0) = -MATH_PI_OVER_2 if Y < 0.0 -- Domain: -- Y in REAL -- X in REAL, X /= 0.0 when Y = 0.0 -- Error conditions: -- Error if X = 0.0 and Y = 0.0 -- Range: -- -MATH_PI < ARCTAN(Y,X) <= MATH_PI -- Notes: -- None function SINH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic sine of X -- Special values: -- SINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- SINH(X) is mathematically unbounded -- Notes: -- a) The usable domain of SINH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function COSH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic cosine of X -- Special values: -- COSH(0.0) = 1.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- COSH(X) >= 1.0 -- Notes: -- a) The usable domain of COSH is approximately given by: -- ABS(X) <= LOG(REAL'HIGH) function TANH (X : in REAL) return REAL; -- Purpose: -- Returns hyperbolic tangent of X -- Special values: -- TANH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ABS(TANH(X)) <= 1.0 -- Notes: -- None function ARCSINH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic sine of X -- Special values: -- ARCSINH(0.0) = 0.0 -- Domain: -- X in REAL -- Error conditions: -- None -- Range: -- ARCSINH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCSINH is approximately given by: -- ABS(ARCSINH(X)) <= LOG(REAL'HIGH) function ARCCOSH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic cosine of X -- Special values: -- ARCCOSH(1.0) = 0.0 -- Domain: -- X >= 1.0 -- Error conditions: -- Error if X < 1.0 -- Range: -- ARCCOSH(X) >= 0.0 -- Notes: -- a) The upper bound of the reachable range of ARCCOSH is -- approximately given by: ARCCOSH(X) <= LOG(REAL'HIGH) function ARCTANH (X : in REAL) return REAL; -- Purpose: -- Returns inverse hyperbolic tangent of X -- Special values: -- ARCTANH(0.0) = 0.0 -- Domain: -- ABS(X) < 1.0 -- Error conditions: -- Error if ABS(X) >= 1.0 -- Range: -- ARCTANH(X) is mathematically unbounded -- Notes: -- a) The reachable range of ARCTANH is approximately given by: -- ABS(ARCTANH(X)) < LOG(REAL'HIGH) end MATH_REAL; ------------------------------------------------------------------------ -- -- Copyright 1996 by IEEE. All rights reserved. -- This source file is an informative part of IEEE Std 1076.2-1996, IEEE Standard -- VHDL Mathematical Packages. This source file may not be copied, sold, or -- included with software that is sold without written permission from the IEEE -- Standards Department. This source file may be used to implement this standard -- and may be distributed in compiled form in any manner so long as the -- compiled form does not allow direct decompilation of the original source file. -- This source file may be copied for individual use between licensed users. -- This source file is provided on an AS IS basis. The IEEE disclaims ANY -- WARRANTY EXPRESS OR IMPLIED INCLUDING ANY WARRANTY OF MERCHANTABILITY -- AND FITNESS FOR USE FOR A PARTICULAR PURPOSE. The user of the source -- file shall indemnify and hold IEEE harmless from any damages or liability -- arising out of the use thereof. -- -- Title: Standard VHDL Mathematical Packages (IEEE Std 1076.2-1996, -- MATH_REAL) -- -- Library: This package shall be compiled into a library -- symbolically named IEEE. -- -- Developers: IEEE DASC VHDL Mathematical Packages Working Group -- -- Purpose: This package body is a nonnormative implementation of the -- functionality defined in the MATH_REAL package declaration. -- -- Limitation: The values generated by the functions in this package may -- vary from platform to platform, and the precision of results -- is only guaranteed to be the minimum required by IEEE Std 1076 -- -1993. -- -- Notes: -- The "package declaration" defines the types, subtypes, and -- declarations of MATH_REAL. -- The standard mathematical definition and conventional meaning -- of the mathematical functions that are part of this standard -- represent the formal semantics of the implementation of the -- MATH_REAL package declaration. The purpose of the MATH_REAL -- package body is to clarify such semantics and provide a -- guideline for implementations to verify their implementation -- of MATH_REAL. Tool developers may choose to implement -- the package body in the most efficient manner available to them. -- -- ----------------------------------------------------------------------------- -- Version : 1.5 -- Date : 24 July 1996 -- ----------------------------------------------------------------------------- package body MATH_REAL is -- -- Local Constants for Use in the Package Body Only -- constant MATH_E_P2 : REAL := 7.38905_60989_30650; -- e**2 constant MATH_E_P10 : REAL := 22026.46579_48067_17; -- e**10 constant MATH_EIGHT_PI : REAL := 25.13274_12287_18345_90770_115; --8*pi constant MAX_ITER: INTEGER := 27; -- Maximum precision factor for cordic constant MAX_COUNT: INTEGER := 150; -- Maximum count for number of tries constant BASE_EPS: REAL := 0.00001; -- Factor for convergence criteria constant KC : REAL := 6.0725293500888142e-01; -- Constant for cordic -- -- Local Type Declarations for Cordic Operations -- type REAL_VECTOR is array (NATURAL range <>) of REAL; type NATURAL_VECTOR is array (NATURAL range <>) of NATURAL; subtype REAL_VECTOR_N is REAL_VECTOR (0 to MAX_ITER); subtype REAL_ARR_2 is REAL_VECTOR (0 to 1); subtype REAL_ARR_3 is REAL_VECTOR (0 to 2); subtype QUADRANT is INTEGER range 0 to 3; type CORDIC_MODE_TYPE is (ROTATION, VECTORING); -- -- Auxiliary Functions for Cordic Algorithms -- function POWER_OF_2_SERIES (D : in NATURAL_VECTOR; INITIAL_VALUE : in REAL; NUMBER_OF_VALUES : in NATURAL) return REAL_VECTOR is -- Description: -- Returns power of two for a vector of values -- Notes: -- None -- variable V : REAL_VECTOR (0 to NUMBER_OF_VALUES); variable TEMP : REAL := INITIAL_VALUE; variable FLAG : BOOLEAN := TRUE; begin for I in 0 to NUMBER_OF_VALUES loop V(I) := TEMP; for P in D'RANGE loop if I = D(P) then FLAG := FALSE; exit; end if; end loop; if FLAG then TEMP := TEMP/2.0; end if; FLAG := TRUE; end loop; return V; end POWER_OF_2_SERIES; constant TWO_AT_MINUS : REAL_VECTOR := POWER_OF_2_SERIES( NATURAL_VECTOR'(100, 90),1.0, MAX_ITER); constant EPSILON : REAL_VECTOR_N := ( 7.8539816339744827e-01, 4.6364760900080606e-01, 2.4497866312686413e-01, 1.2435499454676144e-01, 6.2418809995957351e-02, 3.1239833430268277e-02, 1.5623728620476830e-02, 7.8123410601011116e-03, 3.9062301319669717e-03, 1.9531225164788189e-03, 9.7656218955931937e-04, 4.8828121119489829e-04, 2.4414062014936175e-04, 1.2207031189367021e-04, 6.1035156174208768e-05, 3.0517578115526093e-05, 1.5258789061315760e-05, 7.6293945311019699e-06, 3.8146972656064960e-06, 1.9073486328101870e-06, 9.5367431640596080e-07, 4.7683715820308876e-07, 2.3841857910155801e-07, 1.1920928955078067e-07, 5.9604644775390553e-08, 2.9802322387695303e-08, 1.4901161193847654e-08, 7.4505805969238281e-09 ); function CORDIC ( X0 : in REAL; Y0 : in REAL; Z0 : in REAL; N : in NATURAL; -- Precision factor CORDIC_MODE : in CORDIC_MODE_TYPE -- Rotation (Z -> 0) -- or vectoring (Y -> 0) ) return REAL_ARR_3 is -- Description: -- Compute cordic values -- Notes: -- None variable X : REAL := X0; variable Y : REAL := Y0; variable Z : REAL := Z0; variable X_TEMP : REAL; begin if CORDIC_MODE = ROTATION then for K in 0 to N loop X_TEMP := X; if ( Z >= 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; else for K in 0 to N loop X_TEMP := X; if ( Y < 0.0) then X := X - Y * TWO_AT_MINUS(K); Y := Y + X_TEMP * TWO_AT_MINUS(K); Z := Z - EPSILON(K); else X := X + Y * TWO_AT_MINUS(K); Y := Y - X_TEMP * TWO_AT_MINUS(K); Z := Z + EPSILON(K); end if; end loop; end if; return REAL_ARR_3'(X, Y, Z); end CORDIC; -- -- Bodies for Global Mathematical Functions Start Here -- function SIGN (X: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- None begin if ( X > 0.0 ) then return 1.0; elsif ( X < 0.0 ) then return -1.0; else return 0.0; end if; end SIGN; function CEIL (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is X <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS(X) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD >= X then return RD; else return RD + 1.0; end if; elsif X = 0.0 then return 0.0; else if RD <= X then return RD + 1.0; else return RD; end if; end if; end CEIL; function FLOOR (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) No conversion to an INTEGER type is expected, so truncate -- cannot overflow for large arguments -- b) The domain supported by this function is ABS(X) <= LARGE -- c) Returns X if ABS(X) >= LARGE constant LARGE: REAL := REAL(INTEGER'HIGH); variable RD: REAL; begin if ABS( X ) >= LARGE then return X; end if; RD := REAL ( INTEGER(X)); if RD = X then return X; end if; if X > 0.0 then if RD <= X then return RD; else return RD - 1.0; end if; elsif X = 0.0 then return 0.0; else if RD >= X then return RD - 1.0; else return RD; end if; end if; end FLOOR; function ROUND (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X + 0.5) if X > 0 -- c) Returns CEIL(X - 0.5) if X < 0 begin if X > 0.0 then return FLOOR(X + 0.5); elsif X < 0.0 then return CEIL( X - 0.5); else return 0.0; end if; end ROUND; function TRUNC (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 if X = 0.0 -- b) Returns FLOOR(X) if X > 0 -- c) Returns CEIL(X) if X < 0 begin if X > 0.0 then return FLOOR(X); elsif X < 0.0 then return CEIL( X); else return 0.0; end if; end TRUNC; function "MOD" (X, Y: in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable XNEGATIVE : BOOLEAN := X < 0.0; variable YNEGATIVE : BOOLEAN := Y < 0.0; variable VALUE : REAL; begin -- Check validity of input arguments if (Y = 0.0) then assert FALSE report "MOD(X, 0.0) is undefined" severity ERROR; return 0.0; end if; -- Compute value if ( XNEGATIVE ) then if ( YNEGATIVE ) then VALUE := X + (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X + (CEIL(ABS(X)/ABS(Y)))*ABS(Y); end if; else if ( YNEGATIVE ) then VALUE := X - (CEIL(ABS(X)/ABS(Y)))*ABS(Y); else VALUE := X - (FLOOR(ABS(X)/ABS(Y)))*ABS(Y); end if; end if; return VALUE; end "MOD"; function REALMAX (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMAX(X,Y) = X when X = Y -- begin if X >= Y then return X; else return Y; end if; end REALMAX; function REALMIN (X, Y : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) REALMIN(X,Y) = X when X = Y -- begin if X <= Y then return X; else return Y; end if; end REALMIN; procedure UNIFORM(variable SEED1,SEED2:inout POSITIVE;variable X:out REAL) is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error -- variable Z, K: INTEGER; variable TSEED1 : INTEGER := INTEGER'(SEED1); variable TSEED2 : INTEGER := INTEGER'(SEED2); begin -- Check validity of arguments if SEED1 > 2147483562 then assert FALSE report "SEED1 > 2147483562 in UNIFORM" severity ERROR; X := 0.0; return; end if; if SEED2 > 2147483398 then assert FALSE report "SEED2 > 2147483398 in UNIFORM" severity ERROR; X := 0.0; return; end if; -- Compute new seed values and pseudo-random number K := TSEED1/53668; TSEED1 := 40014 * (TSEED1 - K * 53668) - K * 12211; if TSEED1 < 0 then TSEED1 := TSEED1 + 2147483563; end if; K := TSEED2/52774; TSEED2 := 40692 * (TSEED2 - K * 52774) - K * 3791; if TSEED2 < 0 then TSEED2 := TSEED2 + 2147483399; end if; Z := TSEED1 - TSEED2; if Z < 1 then Z := Z + 2147483562; end if; -- Get output values SEED1 := POSITIVE'(TSEED1); SEED2 := POSITIVE'(TSEED2); X := REAL(Z)*4.656613e-10; end UNIFORM; function SQRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = 0.5*[F(n) + x/F(n)] -- b) Returns 0.0 on error -- constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence factor variable INIVAL: REAL; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Check validity of argument if ( X < 0.0 ) then assert FALSE report "X < 0.0 in SQRT(X)" severity ERROR; return 0.0; end if; -- Get the square root for special cases if X = 0.0 then return 0.0; else if ( X = 1.0 ) then return 1.0; end if; end if; -- Get the square root for general cases INIVAL := EXP(LOG(X)*(0.5)); -- Mathematically correct but imprecise OLDVAL := INIVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; -- Check for relative and absolute error and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT) ) loop OLDVAL := NEWVAL; NEWVAL := (X/OLDVAL + OLDVAL)*0.5; COUNT := COUNT + 1; end loop; return NEWVAL; end SQRT; function CBRT (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Uses the Newton-Raphson approximation: -- F(n+1) = (1/3)*[2*F(n) + x/F(n)**2]; -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable INIVAL: REAL; variable XLOCAL : REAL := X; variable NEGATIVE : BOOLEAN := X < 0.0; variable OLDVAL : REAL ; variable NEWVAL : REAL ; variable COUNT : INTEGER := 1; begin -- Compute root for special cases if X = 0.0 then return 0.0; elsif ( X = 1.0 ) then return 1.0; else if X = -1.0 then return -1.0; end if; end if; -- Compute root for general cases if NEGATIVE then XLOCAL := -X; end if; INIVAL := EXP(LOG(XLOCAL)/(3.0)); -- Mathematically correct but -- imprecise OLDVAL := INIVAL; NEWVAL := (XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL -OLDVAL)/NEWVAL) > EPS ) OR (ABS(NEWVAL - OLDVAL) > EPS ) ) AND ( COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; NEWVAL :=(XLOCAL/(OLDVAL*OLDVAL) + 2.0*OLDVAL)/3.0; COUNT := COUNT + 1; end loop; if NEGATIVE then NEWVAL := -NEWVAL; end if; return NEWVAL; end CBRT; function "**" (X : in INTEGER; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0 ) then return 1.0; end if; if ( Y = 1.0) then return (REAL(X)); end if; -- Get value for general case return EXP (Y * LOG (REAL(X))); end "**"; function "**" (X : in REAL; Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error condition begin -- Check validity of argument if ( ( X < 0.0 ) and ( Y /= 0.0 ) ) then assert FALSE report "X < 0.0 and Y /= 0.0 in X**Y" severity ERROR; return 0.0; end if; if ( ( X = 0.0 ) and ( Y <= 0.0 ) ) then assert FALSE report "X = 0.0 and Y <= 0.0 in X**Y" severity ERROR; return 0.0; end if; -- Get value for special cases if ( X = 0.0 and Y > 0.0 ) then return 0.0; end if; if ( X = 1.0 ) then return 1.0; end if; if ( Y = 0.0 and X /= 0.0 ) then return 1.0; end if; if ( Y = 1.0) then return (X); end if; -- Get value for general case return EXP (Y * LOG (X)); end "**"; function EXP (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) This function computes the exponential using the following -- series: -- exp(x) = 1 + x + x**2/2! + x**3/3! + ... ; |x| < 1.0 -- and reduces argument X to take advantage of exp(x+y) = -- exp(x)*exp(y) -- -- b) This implementation limits X to be less than LOG(REAL'HIGH) -- to avoid overflow. Returns REAL'HIGH when X reaches that -- limit -- constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS;-- Precision criteria variable RECIPROCAL: BOOLEAN := X < 0.0;-- Check sign of argument variable XLOCAL : REAL := ABS(X); -- Use positive value variable OLDVAL: REAL ; variable COUNT: INTEGER ; variable NEWVAL: REAL ; variable LAST_TERM: REAL ; variable FACTOR : REAL := 1.0; begin -- Compute value for special cases if X = 0.0 then return 1.0; end if; if XLOCAL = 1.0 then if RECIPROCAL then return MATH_1_OVER_E; else return MATH_E; end if; end if; if XLOCAL = 2.0 then if RECIPROCAL then return 1.0/MATH_E_P2; else return MATH_E_P2; end if; end if; if XLOCAL = 10.0 then if RECIPROCAL then return 1.0/MATH_E_P10; else return MATH_E_P10; end if; end if; if XLOCAL > LOG(REAL'HIGH) then if RECIPROCAL then return 0.0; else assert FALSE report "X > LOG(REAL'HIGH) in EXP(X)" severity NOTE; return REAL'HIGH; end if; end if; -- Reduce argument to ABS(X) < 1.0 while XLOCAL > 10.0 loop XLOCAL := XLOCAL - 10.0; FACTOR := FACTOR*MATH_E_P10; end loop; while XLOCAL > 1.0 loop XLOCAL := XLOCAL - 1.0; FACTOR := FACTOR*MATH_E; end loop; -- Compute value for case 0 < XLOCAL < 1 OLDVAL := 1.0; LAST_TERM := XLOCAL; NEWVAL:= OLDVAL + LAST_TERM; COUNT := 2; -- Check for relative and absolute errors and max count while ( ( (ABS((NEWVAL - OLDVAL)/NEWVAL) > EPS) OR (ABS(NEWVAL - OLDVAL) > EPS) ) AND (COUNT < MAX_COUNT ) ) loop OLDVAL := NEWVAL; LAST_TERM := LAST_TERM*(XLOCAL / (REAL(COUNT))); NEWVAL := OLDVAL + LAST_TERM; COUNT := COUNT + 1; end loop; -- Compute final value using exp(x+y) = exp(x)*exp(y) NEWVAL := NEWVAL*FACTOR; if RECIPROCAL then NEWVAL := 1.0/NEWVAL; end if; return NEWVAL; end EXP; -- -- Auxiliary Functions to Compute LOG -- function ILOGB(X: in REAL) return INTEGER IS -- Description: -- Returns n such that -1 <= ABS(X)/2^n < 2 -- Notes: -- None variable N: INTEGER := 0; variable Y: REAL := ABS(X); begin if(Y = 1.0 or Y = 0.0) then return 0; end if; if( Y > 1.0) then while Y >= 2.0 loop Y := Y/2.0; N := N+1; end loop; return N; end if; -- O < Y < 1 while Y < 1.0 loop Y := Y*2.0; N := N -1; end loop; return N; end ILOGB; function LDEXP(X: in REAL; N: in INTEGER) RETURN REAL IS -- Description: -- Returns X*2^n -- Notes: -- None begin return X*(2.0 ** N); end LDEXP; function LOG (X : in REAL ) return REAL IS -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- -- Notes: -- a) Returns REAL'LOW on error -- -- Copyright (c) 1992 Regents of the University of California. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without -- modification, are permitted provided that the following conditions -- are met: -- 1. Redistributions of source code must retain the above copyright -- notice, this list of conditions and the following disclaimer. -- 2. Redistributions in binary form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- 3. All advertising materials mentioning features or use of this -- software must display the following acknowledgement: -- This product includes software developed by the University of -- California, Berkeley and its contributors. -- 4. Neither the name of the University nor the names of its -- contributors may be used to endorse or promote products derived -- from this software without specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A -- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR -- CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY -- OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE -- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH -- DAMAGE. -- -- NOTE: This VHDL version was generated using the C version of the -- original function by the IEEE VHDL Mathematical Package -- Working Group (CS/JT) constant N: INTEGER := 128; -- Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128. -- Used for generation of extend precision logarithms. -- The constant 35184372088832 is 2^45, so the divide is exact. -- It ensures correct reading of logF_head, even for inaccurate -- decimal-to-binary conversion routines. (Everybody gets the -- right answer for INTEGERs less than 2^53.) -- Values for LOG(F) were generated using error < 10^-57 absolute -- with the bc -l package. type REAL_VECTOR is array (NATURAL range <>) of REAL; constant A1:REAL := 0.08333333333333178827; constant A2:REAL := 0.01250000000377174923; constant A3:REAL := 0.002232139987919447809; constant A4:REAL := 0.0004348877777076145742; constant LOGF_HEAD: REAL_VECTOR(0 TO N) := ( 0.0, 0.007782140442060381246, 0.015504186535963526694, 0.023167059281547608406, 0.030771658666765233647, 0.038318864302141264488, 0.045809536031242714670, 0.053244514518837604555, 0.060624621816486978786, 0.067950661908525944454, 0.075223421237524235039, 0.082443669210988446138, 0.089612158689760690322, 0.096729626458454731618, 0.103796793681567578460, 0.110814366340264314203, 0.117783035656430001836, 0.124703478501032805070, 0.131576357788617315236, 0.138402322859292326029, 0.145182009844575077295, 0.151916042025732167530, 0.158605030176659056451, 0.165249572895390883786, 0.171850256926518341060, 0.178407657472689606947, 0.184922338493834104156, 0.191394852999565046047, 0.197825743329758552135, 0.204215541428766300668, 0.210564769107350002741, 0.216873938300523150246, 0.223143551314024080056, 0.229374101064877322642, 0.235566071312860003672, 0.241719936886966024758, 0.247836163904594286577, 0.253915209980732470285, 0.259957524436686071567, 0.265963548496984003577, 0.271933715484010463114, 0.277868451003087102435, 0.283768173130738432519, 0.289633292582948342896, 0.295464212893421063199, 0.301261330578199704177, 0.307025035294827830512, 0.312755710004239517729, 0.318453731118097493890, 0.324119468654316733591, 0.329753286372579168528, 0.335355541920762334484, 0.340926586970454081892, 0.346466767346100823488, 0.351976423156884266063, 0.357455888922231679316, 0.362905493689140712376, 0.368325561158599157352, 0.373716409793814818840, 0.379078352934811846353, 0.384411698910298582632, 0.389716751140440464951, 0.394993808240542421117, 0.400243164127459749579, 0.405465108107819105498, 0.410659924985338875558, 0.415827895143593195825, 0.420969294644237379543, 0.426084395310681429691, 0.431173464818130014464, 0.436236766774527495726, 0.441274560805140936281, 0.446287102628048160113, 0.451274644139630254358, 0.456237433481874177232, 0.461175715122408291790, 0.466089729924533457960, 0.470979715219073113985, 0.475845904869856894947, 0.480688529345570714212, 0.485507815781602403149, 0.490303988045525329653, 0.495077266798034543171, 0.499827869556611403822, 0.504556010751912253908, 0.509261901790523552335, 0.513945751101346104405, 0.518607764208354637958, 0.523248143765158602036, 0.527867089620485785417, 0.532464798869114019908, 0.537041465897345915436, 0.541597282432121573947, 0.546132437597407260909, 0.550647117952394182793, 0.555141507540611200965, 0.559615787935399566777, 0.564070138285387656651, 0.568504735352689749561, 0.572919753562018740922, 0.577315365035246941260, 0.581691739635061821900, 0.586049045003164792433, 0.590387446602107957005, 0.594707107746216934174, 0.599008189645246602594, 0.603290851438941899687, 0.607555250224322662688, 0.611801541106615331955, 0.616029877215623855590, 0.620240409751204424537, 0.624433288012369303032, 0.628608659422752680256, 0.632766669570628437213, 0.636907462236194987781, 0.641031179420679109171, 0.645137961373620782978, 0.649227946625615004450, 0.653301272011958644725, 0.657358072709030238911, 0.661398482245203922502, 0.665422632544505177065, 0.669430653942981734871, 0.673422675212350441142, 0.677398823590920073911, 0.681359224807238206267, 0.685304003098281100392, 0.689233281238557538017, 0.693147180560117703862); constant LOGF_TAIL: REAL_VECTOR(0 TO N) := ( 0.0, -0.00000000000000543229938420049, 0.00000000000000172745674997061, -0.00000000000001323017818229233, -0.00000000000001154527628289872, -0.00000000000000466529469958300, 0.00000000000005148849572685810, -0.00000000000002532168943117445, -0.00000000000005213620639136504, -0.00000000000001819506003016881, 0.00000000000006329065958724544, 0.00000000000008614512936087814, -0.00000000000007355770219435028, 0.00000000000009638067658552277, 0.00000000000007598636597194141, 0.00000000000002579999128306990, -0.00000000000004654729747598444, -0.00000000000007556920687451336, 0.00000000000010195735223708472, -0.00000000000017319034406422306, -0.00000000000007718001336828098, 0.00000000000010980754099855238, -0.00000000000002047235780046195, -0.00000000000008372091099235912, 0.00000000000014088127937111135, 0.00000000000012869017157588257, 0.00000000000017788850778198106, 0.00000000000006440856150696891, 0.00000000000016132822667240822, -0.00000000000007540916511956188, -0.00000000000000036507188831790, 0.00000000000009120937249914984, 0.00000000000018567570959796010, -0.00000000000003149265065191483, -0.00000000000009309459495196889, 0.00000000000017914338601329117, -0.00000000000001302979717330866, 0.00000000000023097385217586939, 0.00000000000023999540484211737, 0.00000000000015393776174455408, -0.00000000000036870428315837678, 0.00000000000036920375082080089, -0.00000000000009383417223663699, 0.00000000000009433398189512690, 0.00000000000041481318704258568, -0.00000000000003792316480209314, 0.00000000000008403156304792424, -0.00000000000034262934348285429, 0.00000000000043712191957429145, -0.00000000000010475750058776541, -0.00000000000011118671389559323, 0.00000000000037549577257259853, 0.00000000000013912841212197565, 0.00000000000010775743037572640, 0.00000000000029391859187648000, -0.00000000000042790509060060774, 0.00000000000022774076114039555, 0.00000000000010849569622967912, -0.00000000000023073801945705758, 0.00000000000015761203773969435, 0.00000000000003345710269544082, -0.00000000000041525158063436123, 0.00000000000032655698896907146, -0.00000000000044704265010452446, 0.00000000000034527647952039772, -0.00000000000007048962392109746, 0.00000000000011776978751369214, -0.00000000000010774341461609578, 0.00000000000021863343293215910, 0.00000000000024132639491333131, 0.00000000000039057462209830700, -0.00000000000026570679203560751, 0.00000000000037135141919592021, -0.00000000000017166921336082431, -0.00000000000028658285157914353, -0.00000000000023812542263446809, 0.00000000000006576659768580062, -0.00000000000028210143846181267, 0.00000000000010701931762114254, 0.00000000000018119346366441110, 0.00000000000009840465278232627, -0.00000000000033149150282752542, -0.00000000000018302857356041668, -0.00000000000016207400156744949, 0.00000000000048303314949553201, -0.00000000000071560553172382115, 0.00000000000088821239518571855, -0.00000000000030900580513238244, -0.00000000000061076551972851496, 0.00000000000035659969663347830, 0.00000000000035782396591276383, -0.00000000000046226087001544578, 0.00000000000062279762917225156, 0.00000000000072838947272065741, 0.00000000000026809646615211673, -0.00000000000010960825046059278, 0.00000000000002311949383800537, -0.00000000000058469058005299247, -0.00000000000002103748251144494, -0.00000000000023323182945587408, -0.00000000000042333694288141916, -0.00000000000043933937969737844, 0.00000000000041341647073835565, 0.00000000000006841763641591466, 0.00000000000047585534004430641, 0.00000000000083679678674757695, -0.00000000000085763734646658640, 0.00000000000021913281229340092, -0.00000000000062242842536431148, -0.00000000000010983594325438430, 0.00000000000065310431377633651, -0.00000000000047580199021710769, -0.00000000000037854251265457040, 0.00000000000040939233218678664, 0.00000000000087424383914858291, 0.00000000000025218188456842882, -0.00000000000003608131360422557, -0.00000000000050518555924280902, 0.00000000000078699403323355317, -0.00000000000067020876961949060, 0.00000000000016108575753932458, 0.00000000000058527188436251509, -0.00000000000035246757297904791, -0.00000000000018372084495629058, 0.00000000000088606689813494916, 0.00000000000066486268071468700, 0.00000000000063831615170646519, 0.00000000000025144230728376072, -0.00000000000017239444525614834); variable M, J:INTEGER; variable F1, F2, G, Q, U, U2, V: REAL; variable ZERO: REAL := 0.0;--Made variable so no constant folding occurs variable ONE: REAL := 1.0; --Made variable so no constant folding occurs -- double logb(), ldexp(); variable U1:REAL; begin -- Check validity of argument if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = MATH_E ) then return 1.0; end if; -- Argument reduction: 1 <= g < 2; x/2^m = g; -- y = F*(1 + f/F) for |f| <= 2^-8 M := ILOGB(X); G := LDEXP(X, -M); J := INTEGER(REAL(N)*(G-1.0)); -- C code adds 0.5 for rounding F1 := (1.0/REAL(N)) * REAL(J) + 1.0; --F1*128 is an INTEGER in [128,512] F2 := G - F1; -- Approximate expansion for log(1+f2/F1) ~= u + q G := 1.0/(2.0*F1+F2); U := 2.0*F2*G; V := U*U; Q := U*V*(A1 + V*(A2 + V*(A3 + V*A4))); -- Case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8, -- u1 has at most 35 bits, and F1*u1 is exact, as F1 has < 8 bits. -- It also adds exactly to |m*log2_hi + log_F_head[j] | < 750. -- if ( J /= 0 or M /= 0) then U1 := U + 513.0; U1 := U1 - 513.0; -- Case 2: |1-x| < 1/256. The m- and j- dependent terms are zero -- u1 = u to 24 bits. -- else U1 := U; --TRUNC(U1); --In c this is u1 = (double) (float) (u1) end if; U2 := (2.0*(F2 - F1*U1) - U1*F2) * G; -- u1 + u2 = 2f/(2F+f) to extra precision. -- log(x) = log(2^m*F1*(1+f2/F1)) = -- (m*log2_hi+LOGF_HEAD(j)+u1) + (m*log2_lo+LOGF_TAIL(j)+q); -- (exact) + (tiny) U1 := U1 + REAL(M)*LOGF_HEAD(N) + LOGF_HEAD(J); -- Exact U2 := (U2 + LOGF_TAIL(J)) + Q; -- Tiny U2 := U2 + LOGF_TAIL(N)*REAL(M); return (U1 + U2); end LOG; function LOG2 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG2(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 2.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG2_OF_E*LOG(X) ); end LOG2; function LOG10 (X: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG10(X)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = 10.0 ) then return 1.0; end if; -- Compute value for general case return ( MATH_LOG10_OF_E*LOG(X) ); end LOG10; function LOG (X: in REAL; BASE: in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns REAL'LOW on error begin -- Check validity of arguments if ( X <= 0.0 ) then assert FALSE report "X <= 0.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; if ( BASE <= 0.0 or BASE = 1.0 ) then assert FALSE report "BASE <= 0.0 or BASE = 1.0 in LOG(X, BASE)" severity ERROR; return(REAL'LOW); end if; -- Compute value for special cases if ( X = 1.0 ) then return 0.0; end if; if ( X = BASE ) then return 1.0; end if; -- Compute value for general case return ( LOG(X)/LOG(BASE)); end LOG; function SIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) SIN(-X) = -SIN(X) -- b) SIN(X) = X if ABS(X) < EPS -- c) SIN(X) = X - X**3/3! if EPS < ABS(X) < BASE_EPS -- d) SIN(MATH_PI_OVER_2 - X) = COS(X) -- e) COS(X) = 1.0 - 0.5*X**2 if ABS(X) < EPS -- f) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS constant EPS : REAL := BASE_EPS*BASE_EPS; -- Convergence criteria variable N : INTEGER; variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in SIN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI or XLOCAL = MATH_PI then return 0.0; end if; if XLOCAL = MATH_PI_OVER_2 then if NEGATIVE then return -1.0; else return 1.0; end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then if NEGATIVE then return 1.0; else return -1.0; end if; end if; if XLOCAL < EPS then if NEGATIVE then return -XLOCAL; else return XLOCAL; end if; else if XLOCAL < BASE_EPS then TEMP := XLOCAL - (XLOCAL*XLOCAL*XLOCAL)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return -TEMP; else return TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := MATH_2_PI - XLOCAL; if ABS(TEMP) < EPS then if NEGATIVE then return TEMP; else return -TEMP; end if; else if ABS(TEMP) < BASE_EPS then TEMP := TEMP - (TEMP*TEMP*TEMP)/6.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; TEMP := ABS(MATH_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return -TEMP; else return TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return -TEMP; else return TEMP; end if; end if; end if; TEMP := ABS(MATH_3_PI_OVER_2 - XLOCAL); if TEMP < EPS then TEMP := 1.0 - TEMP*TEMP*0.5; if NEGATIVE then return TEMP; else return -TEMP; end if; else if TEMP < BASE_EPS then TEMP := 1.0 -TEMP*TEMP*0.5 + TEMP*TEMP*TEMP*TEMP/24.0; if NEGATIVE then return TEMP; else return -TEMP; end if; end if; end if; -- Compute value for general cases if ((XLOCAL < MATH_PI_OVER_2 ) and (XLOCAL > 0.0)) then VALUE:= CORDIC( KC, 0.0, x, 27, ROTATION)(1); end if; N := INTEGER ( FLOOR(XLOCAL/MATH_PI_OVER_2)); case QUADRANT( N mod 4) is when 0 => VALUE := CORDIC( KC, 0.0, XLOCAL, 27, ROTATION)(1); when 1 => VALUE := CORDIC( KC, 0.0, XLOCAL - MATH_PI_OVER_2, 27, ROTATION)(0); when 2 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_PI, 27, ROTATION)(1); when 3 => VALUE := -CORDIC( KC, 0.0, XLOCAL - MATH_3_PI_OVER_2, 27, ROTATION)(0); end case; if NEGATIVE then return -VALUE; else return VALUE; end if; end SIN; function COS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) COS(-X) = COS(X) -- b) COS(X) = SIN(MATH_PI_OVER_2 - X) -- c) COS(MATH_PI + X) = -COS(X) -- d) COS(X) = 1.0 - X*X/2.0 if ABS(X) < EPS -- e) COS(X) = 1.0 - 0.5*X**2 + (X**4)/4! if -- EPS< ABS(X) <BASE_EPS -- constant EPS : REAL := BASE_EPS*BASE_EPS; variable XLOCAL : REAL := ABS(X); variable VALUE: REAL; variable TEMP : REAL; begin -- Make XLOCAL < MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in COS(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_2_PI then return 1.0; end if; if XLOCAL = MATH_PI then return -1.0; end if; if XLOCAL = MATH_PI_OVER_2 or XLOCAL = MATH_3_PI_OVER_2 then return 0.0; end if; TEMP := ABS(XLOCAL); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS(XLOCAL -MATH_2_PI); if ( TEMP < EPS) then return (1.0 - 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (1.0 -0.5*TEMP*TEMP + TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; TEMP := ABS (XLOCAL - MATH_PI); if TEMP < EPS then return (-1.0 + 0.5*TEMP*TEMP); else if (TEMP < BASE_EPS) then return (-1.0 +0.5*TEMP*TEMP - TEMP*TEMP*TEMP*TEMP/24.0); end if; end if; -- Compute value for general cases return SIN(MATH_PI_OVER_2 - XLOCAL); end COS; function TAN (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) TAN(0.0) = 0.0 -- b) TAN(-X) = -TAN(X) -- c) Returns REAL'LOW on error if X < 0.0 -- d) Returns REAL'HIGH on error if X > 0.0 variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X) ; variable VALUE: REAL; variable TEMP : REAL; begin -- Make 0.0 <= XLOCAL <= MATH_2_PI if XLOCAL > MATH_2_PI then TEMP := FLOOR(XLOCAL/MATH_2_PI); XLOCAL := XLOCAL - TEMP*MATH_2_PI; end if; if XLOCAL < 0.0 then assert FALSE report "XLOCAL <= 0.0 after reduction in TAN(X)" severity ERROR; XLOCAL := -XLOCAL; end if; -- Check validity of argument if XLOCAL = MATH_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'LOW); else return(REAL'HIGH); end if; end if; if XLOCAL = MATH_3_PI_OVER_2 then assert FALSE report "X is a multiple of MATH_3_PI_OVER_2 in TAN(X)" severity ERROR; if NEGATIVE then return(REAL'HIGH); else return(REAL'LOW); end if; end if; -- Compute value for special cases if XLOCAL = 0.0 or XLOCAL = MATH_PI then return 0.0; end if; -- Compute value for general cases VALUE := SIN(XLOCAL)/COS(XLOCAL); if NEGATIVE then return -VALUE; else return VALUE; end if; end TAN; function ARCSIN (X : in REAL ) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCSIN(-X) = -ARCSIN(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of arguments if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCSIN(X)" severity ERROR; return X; end if; -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; elsif XLOCAL = 1.0 then if NEGATIVE then return -MATH_PI_OVER_2; else return MATH_PI_OVER_2; end if; end if; -- Compute value for general cases if XLOCAL < 0.9 then VALUE := ARCTAN(XLOCAL/(SQRT(1.0 - XLOCAL*XLOCAL))); else VALUE := MATH_PI_OVER_2 - ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCSIN; function ARCCOS (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCCOS(-X) = MATH_PI - ARCCOS(X) -- b) Returns X on error variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable VALUE : REAL; begin -- Check validity of argument if XLOCAL > 1.0 then assert FALSE report "ABS(X) > 1.0 in ARCCOS(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; elsif X = 0.0 then return MATH_PI_OVER_2; elsif X = -1.0 then return MATH_PI; end if; -- Compute value for general cases if XLOCAL > 0.9 then VALUE := ARCTAN(SQRT(1.0 - XLOCAL*XLOCAL)/XLOCAL); else VALUE := MATH_PI_OVER_2 - ARCTAN(XLOCAL/SQRT(1.0 - XLOCAL*XLOCAL)); end if; if NEGATIVE then VALUE := MATH_PI - VALUE; end if; return VALUE; end ARCCOS; function ARCTAN (Y : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) ARCTAN(-Y) = -ARCTAN(Y) -- b) ARCTAN(Y) = -ARCTAN(1.0/Y) + MATH_PI_OVER_2 for |Y| > 1.0 -- c) ARCTAN(Y) = Y for |Y| < EPS constant EPS : REAL := BASE_EPS*BASE_EPS*BASE_EPS; variable NEGATIVE : BOOLEAN := Y < 0.0; variable RECIPROCAL : BOOLEAN; variable YLOCAL : REAL := ABS(Y); variable VALUE : REAL; begin -- Make argument |Y| <=1.0 if YLOCAL > 1.0 then YLOCAL := 1.0/YLOCAL; RECIPROCAL := TRUE; else RECIPROCAL := FALSE; end if; -- Compute value for special cases if YLOCAL = 0.0 then if RECIPROCAL then if NEGATIVE then return (-MATH_PI_OVER_2); else return (MATH_PI_OVER_2); end if; else return 0.0; end if; end if; if YLOCAL < EPS then if NEGATIVE then if RECIPROCAL then return (-MATH_PI_OVER_2 + YLOCAL); else return -YLOCAL; end if; else if RECIPROCAL then return (MATH_PI_OVER_2 - YLOCAL); else return YLOCAL; end if; end if; end if; -- Compute value for general cases VALUE := CORDIC( 1.0, YLOCAL, 0.0, 27, VECTORING )(2); if RECIPROCAL then VALUE := MATH_PI_OVER_2 - VALUE; end if; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function ARCTAN (Y : in REAL; X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns 0.0 on error variable YLOCAL : REAL; variable VALUE : REAL; begin -- Check validity of arguments if (Y = 0.0 and X = 0.0 ) then assert FALSE report "ARCTAN(0.0, 0.0) is undetermined" severity ERROR; return 0.0; end if; -- Compute value for special cases if Y = 0.0 then if X > 0.0 then return 0.0; else return MATH_PI; end if; end if; if X = 0.0 then if Y > 0.0 then return MATH_PI_OVER_2; else return -MATH_PI_OVER_2; end if; end if; -- Compute value for general cases YLOCAL := ABS(Y/X); VALUE := ARCTAN(YLOCAL); if X < 0.0 then VALUE := MATH_PI - VALUE; end if; if Y < 0.0 then VALUE := -VALUE; end if; return VALUE; end ARCTAN; function SINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/2.0 -- b) SINH(-X) = SINH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)*0.5; if NEGATIVE then VALUE := -VALUE; end if; return VALUE; end SINH; function COSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) + EXP(-X))/2.0 -- b) COSH(-X) = COSH(X) variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 1.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP + 1.0/TEMP)*0.5; return VALUE; end COSH; function TANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (EXP(X) - EXP(-X))/(EXP(X) + EXP(-X)) -- b) TANH(-X) = -TANH(X) variable NEGATIVE : BOOLEAN := X < 0.0; variable XLOCAL : REAL := ABS(X); variable TEMP : REAL; variable VALUE : REAL; begin -- Compute value for special cases if XLOCAL = 0.0 then return 0.0; end if; -- Compute value for general cases TEMP := EXP(XLOCAL); VALUE := (TEMP - 1.0/TEMP)/(TEMP + 1.0/TEMP); if NEGATIVE then return -VALUE; else return VALUE; end if; end TANH; function ARCSINH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X + 1.0)) begin -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X + 1.0)) ); end ARCSINH; function ARCCOSH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns LOG( X + SQRT( X*X - 1.0)); X >= 1.0 -- b) Returns X on error begin -- Check validity of arguments if X < 1.0 then assert FALSE report "X < 1.0 in ARCCOSH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 1.0 then return 0.0; end if; -- Compute value for general cases return ( LOG( X + SQRT( X*X - 1.0))); end ARCCOSH; function ARCTANH (X : in REAL) return REAL is -- Description: -- See function declaration in IEEE Std 1076.2-1996 -- Notes: -- a) Returns (LOG( (1.0 + X)/(1.0 - X)))/2.0 ; | X | < 1.0 -- b) Returns X on error begin -- Check validity of arguments if ABS(X) >= 1.0 then assert FALSE report "ABS(X) >= 1.0 in ARCTANH(X)" severity ERROR; return X; end if; -- Compute value for special cases if X = 0.0 then return 0.0; end if; -- Compute value for general cases return( 0.5*LOG( (1.0+X)/(1.0-X) ) ); end ARCTANH; end MATH_REAL;
------------------------------------------------------------------------------- -- File Name : DC_CR_ROM.vhd -- -- Project : JPEG_ENC -- -- Module : DC_CR_ROM -- -- Content : DC_CR_ROM Chrominance -- -- Description : -- -- Spec. : -- -- Author : Michal Krepa -- ------------------------------------------------------------------------------- -- History : -- 20090329: (MK): Initial Creation. ------------------------------------------------------------------------------- -- ////////////////////////////////////////////////////////////////////////////// -- /// Copyright (c) 2013, Jahanzeb Ahmad -- /// All rights reserved. -- /// -- /// Redistribution and use in source and binary forms, with or without modification, -- /// are permitted provided that the following conditions are met: -- /// -- /// * Redistributions of source code must retain the above copyright notice, -- /// this list of conditions and the following disclaimer. -- /// * Redistributions in binary form must reproduce the above copyright notice, -- /// this list of conditions and the following disclaimer in the documentation and/or -- /// other materials provided with the distribution. -- /// -- /// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -- /// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES -- /// OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT -- /// SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -- /// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT -- /// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- /// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, -- /// WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -- /// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -- /// POSSIBILITY OF SUCH DAMAGE. -- /// -- /// -- /// * http://opensource.org/licenses/MIT -- /// * http://copyfree.org/licenses/mit/license.txt -- /// -- ////////////////////////////////////////////////////////////////////////////// ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- LIBRARY/PACKAGE --------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- -- generic packages/libraries: ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; ------------------------------------------------------------------------------- -- user packages/libraries: ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- ENTITY ------------------------------------ ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- entity DC_CR_ROM is port ( CLK : in std_logic; RST : in std_logic; VLI_size : in std_logic_vector(3 downto 0); VLC_DC_size : out std_logic_vector(3 downto 0); VLC_DC : out unsigned(10 downto 0) ); end entity DC_CR_ROM; ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- ARCHITECTURE ------------------------------ ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- architecture RTL of DC_CR_ROM is ------------------------------------------------------------------------------- -- Architecture: begin ------------------------------------------------------------------------------- begin ------------------------------------------------------------------- -- DC-ROM ------------------------------------------------------------------- p_DC_CR_ROM : process(CLK) begin if CLK'event and CLK = '1' then case VLI_size is when X"0" => VLC_DC_size <= X"2"; VLC_DC <= resize("00", VLC_DC'length); when X"1" => VLC_DC_size <= X"2"; VLC_DC <= resize("01", VLC_DC'length); when X"2" => VLC_DC_size <= X"2"; VLC_DC <= resize("10", VLC_DC'length); when X"3" => VLC_DC_size <= X"3"; VLC_DC <= resize("110", VLC_DC'length); when X"4" => VLC_DC_size <= X"4"; VLC_DC <= resize("1110", VLC_DC'length); when X"5" => VLC_DC_size <= X"5"; VLC_DC <= resize("11110", VLC_DC'length); when X"6" => VLC_DC_size <= X"6"; VLC_DC <= resize("111110", VLC_DC'length); when X"7" => VLC_DC_size <= X"7"; VLC_DC <= resize("1111110", VLC_DC'length); when X"8" => VLC_DC_size <= X"8"; VLC_DC <= resize("11111110", VLC_DC'length); when X"9" => VLC_DC_size <= X"9"; VLC_DC <= resize("111111110", VLC_DC'length); when X"A" => VLC_DC_size <= X"A"; VLC_DC <= resize("1111111110", VLC_DC'length); when X"B" => VLC_DC_size <= X"B"; VLC_DC <= resize("11111111110", VLC_DC'length); when others => VLC_DC_size <= X"0"; VLC_DC <= (others => '0'); end case; end if; end process; end architecture RTL; ------------------------------------------------------------------------------- -- Architecture: end -------------------------------------------------------------------------------
------------------------------------------------------------------------------- -- File Name : DC_CR_ROM.vhd -- -- Project : JPEG_ENC -- -- Module : DC_CR_ROM -- -- Content : DC_CR_ROM Chrominance -- -- Description : -- -- Spec. : -- -- Author : Michal Krepa -- ------------------------------------------------------------------------------- -- History : -- 20090329: (MK): Initial Creation. ------------------------------------------------------------------------------- -- ////////////////////////////////////////////////////////////////////////////// -- /// Copyright (c) 2013, Jahanzeb Ahmad -- /// All rights reserved. -- /// -- /// Redistribution and use in source and binary forms, with or without modification, -- /// are permitted provided that the following conditions are met: -- /// -- /// * Redistributions of source code must retain the above copyright notice, -- /// this list of conditions and the following disclaimer. -- /// * Redistributions in binary form must reproduce the above copyright notice, -- /// this list of conditions and the following disclaimer in the documentation and/or -- /// other materials provided with the distribution. -- /// -- /// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -- /// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES -- /// OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT -- /// SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -- /// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT -- /// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR -- /// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, -- /// WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -- /// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -- /// POSSIBILITY OF SUCH DAMAGE. -- /// -- /// -- /// * http://opensource.org/licenses/MIT -- /// * http://copyfree.org/licenses/mit/license.txt -- /// -- ////////////////////////////////////////////////////////////////////////////// ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- LIBRARY/PACKAGE --------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- -- generic packages/libraries: ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; ------------------------------------------------------------------------------- -- user packages/libraries: ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- ENTITY ------------------------------------ ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- entity DC_CR_ROM is port ( CLK : in std_logic; RST : in std_logic; VLI_size : in std_logic_vector(3 downto 0); VLC_DC_size : out std_logic_vector(3 downto 0); VLC_DC : out unsigned(10 downto 0) ); end entity DC_CR_ROM; ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- ----------------------------------- ARCHITECTURE ------------------------------ ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- architecture RTL of DC_CR_ROM is ------------------------------------------------------------------------------- -- Architecture: begin ------------------------------------------------------------------------------- begin ------------------------------------------------------------------- -- DC-ROM ------------------------------------------------------------------- p_DC_CR_ROM : process(CLK) begin if CLK'event and CLK = '1' then case VLI_size is when X"0" => VLC_DC_size <= X"2"; VLC_DC <= resize("00", VLC_DC'length); when X"1" => VLC_DC_size <= X"2"; VLC_DC <= resize("01", VLC_DC'length); when X"2" => VLC_DC_size <= X"2"; VLC_DC <= resize("10", VLC_DC'length); when X"3" => VLC_DC_size <= X"3"; VLC_DC <= resize("110", VLC_DC'length); when X"4" => VLC_DC_size <= X"4"; VLC_DC <= resize("1110", VLC_DC'length); when X"5" => VLC_DC_size <= X"5"; VLC_DC <= resize("11110", VLC_DC'length); when X"6" => VLC_DC_size <= X"6"; VLC_DC <= resize("111110", VLC_DC'length); when X"7" => VLC_DC_size <= X"7"; VLC_DC <= resize("1111110", VLC_DC'length); when X"8" => VLC_DC_size <= X"8"; VLC_DC <= resize("11111110", VLC_DC'length); when X"9" => VLC_DC_size <= X"9"; VLC_DC <= resize("111111110", VLC_DC'length); when X"A" => VLC_DC_size <= X"A"; VLC_DC <= resize("1111111110", VLC_DC'length); when X"B" => VLC_DC_size <= X"B"; VLC_DC <= resize("11111111110", VLC_DC'length); when others => VLC_DC_size <= X"0"; VLC_DC <= (others => '0'); end case; end if; end process; end architecture RTL; ------------------------------------------------------------------------------- -- Architecture: end -------------------------------------------------------------------------------
architecture rtl of fifo is signal sig8 : record_type_3( element1(7 downto 0), element2(4 downto 0)(7 downto 0) ( elementA(7 downto 0), elementB(3 downto 0) ), element3(3 downto 0)( elementC(4 downto 1), elementD(1 downto 0)), element5( elementE(3 downto 0)(6 downto 0), elementF(7 downto 0) ), element6(4 downto 0), element7(7 downto 0) ); begin end architecture rtl;
-- (c) Copyright 2012 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. ------------------------------------------------------------ ------------------------------------------------------------------------------- -- Filename: axi_dma_mm2s_cntrl_strm.vhd -- Description: This entity is MM2S control stream logic -- -- VHDL-Standard: VHDL'93 ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; use ieee.std_logic_misc.all; library unisim; use unisim.vcomponents.all; library axi_dma_v7_1_9; use axi_dma_v7_1_9.axi_dma_pkg.all; library lib_pkg_v1_0_2; use lib_pkg_v1_0_2.lib_pkg.clog2; use lib_pkg_v1_0_2.lib_pkg.max2; library lib_fifo_v1_0_4; ------------------------------------------------------------------------------- entity axi_dma_mm2s_cntrl_strm is generic( C_PRMRY_IS_ACLK_ASYNC : integer range 0 to 1 := 0; -- Primary MM2S/S2MM sync/async mode -- 0 = synchronous mode - all clocks are synchronous -- 1 = asynchronous mode - Primary data path channels (MM2S and S2MM) -- run asynchronous to AXI Lite, DMA Control, -- and SG. C_PRMY_CMDFIFO_DEPTH : integer range 1 to 16 := 1; -- Depth of DataMover command FIFO C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH : integer range 32 to 32 := 32; -- Master AXI Control Stream Data Width C_FAMILY : string := "virtex7" -- Target FPGA Device Family ); port ( -- Secondary clock / reset m_axi_sg_aclk : in std_logic ; -- m_axi_sg_aresetn : in std_logic ; -- -- -- Primary clock / reset -- axi_prmry_aclk : in std_logic ; -- p_reset_n : in std_logic ; -- -- -- MM2S Error -- mm2s_stop : in std_logic ; -- -- -- Control Stream FIFO write signals (from axi_dma_mm2s_sg_if) -- cntrlstrm_fifo_wren : in std_logic ; -- cntrlstrm_fifo_din : in std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0); -- cntrlstrm_fifo_full : out std_logic ; -- -- -- -- Memory Map to Stream Control Stream Interface -- m_axis_mm2s_cntrl_tdata : out std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- m_axis_mm2s_cntrl_tkeep : out std_logic_vector -- ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0);-- m_axis_mm2s_cntrl_tvalid : out std_logic ; -- m_axis_mm2s_cntrl_tready : in std_logic ; -- m_axis_mm2s_cntrl_tlast : out std_logic -- ); end axi_dma_mm2s_cntrl_strm; ------------------------------------------------------------------------------- -- Architecture ------------------------------------------------------------------------------- architecture implementation of axi_dma_mm2s_cntrl_strm is attribute DowngradeIPIdentifiedWarnings: string; attribute DowngradeIPIdentifiedWarnings of implementation : architecture is "yes"; ------------------------------------------------------------------------------- -- Functions ------------------------------------------------------------------------------- -- No Functions Declared ------------------------------------------------------------------------------- -- Constants Declarations ------------------------------------------------------------------------------- -- Number of words deep fifo needs to be -- Only 5 app fields, but set to 8 so depth is a power of 2 constant CNTRL_FIFO_DEPTH : integer := max2(16,8 * C_PRMY_CMDFIFO_DEPTH); -- Width of fifo rd and wr counts - only used for proper fifo operation constant CNTRL_FIFO_CNT_WIDTH : integer := clog2(CNTRL_FIFO_DEPTH+1); constant USE_LOGIC_FIFOS : integer := 0; -- Use Logic FIFOs constant USE_BRAM_FIFOS : integer := 1; -- Use BRAM FIFOs ------------------------------------------------------------------------------- -- Signal / Type Declarations ------------------------------------------------------------------------------- -- FIFO signals signal cntrl_fifo_rden : std_logic := '0'; signal cntrl_fifo_empty : std_logic := '0'; signal cntrl_fifo_dout : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0) := (others => '0'); signal cntrl_fifo_dvalid: std_logic := '0'; signal cntrl_tdata : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal cntrl_tkeep : std_logic_vector ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal cntrl_tvalid : std_logic := '0'; signal cntrl_tready : std_logic := '0'; signal cntrl_tlast : std_logic := '0'; signal sinit : std_logic := '0'; signal m_valid : std_logic := '0'; signal m_ready : std_logic := '0'; signal m_data : std_logic_vector(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal m_strb : std_logic_vector((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal m_last : std_logic := '0'; signal skid_rst : std_logic := '0'; ------------------------------------------------------------------------------- -- Begin architecture logic ------------------------------------------------------------------------------- begin -- All bytes always valid cntrl_tkeep <= (others => '1'); -- Primary Clock is synchronous to Secondary Clock therfore -- instantiate a sync fifo. GEN_SYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 0 generate signal mm2s_stop_d1 : std_logic := '0'; signal mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset or mm2s stop sinit <= not m_axi_sg_aresetn or mm2s_stop; -- Generate Synchronous FIFO I_CNTRL_FIFO : entity lib_fifo_v1_0_4.sync_fifo_fg generic map ( C_FAMILY => C_FAMILY , C_MEMORY_TYPE => USE_LOGIC_FIFOS, C_WRITE_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_WRITE_DEPTH => CNTRL_FIFO_DEPTH , C_READ_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_READ_DEPTH => CNTRL_FIFO_DEPTH , C_PORTS_DIFFER => 0, C_HAS_DCOUNT => 1, --req for proper fifo operation C_DCOUNT_WIDTH => CNTRL_FIFO_CNT_WIDTH, C_HAS_ALMOST_FULL => 0, C_HAS_RD_ACK => 0, C_HAS_RD_ERR => 0, C_HAS_WR_ACK => 0, C_HAS_WR_ERR => 0, C_RD_ACK_LOW => 0, C_RD_ERR_LOW => 0, C_WR_ACK_LOW => 0, C_WR_ERR_LOW => 0, C_PRELOAD_REGS => 1,-- 1 = first word fall through C_PRELOAD_LATENCY => 0 -- 0 = first word fall through -- C_USE_EMBEDDED_REG => 1 -- 0 ; ) port map ( Clk => m_axi_sg_aclk , Sinit => sinit , Din => cntrlstrm_fifo_din , Wr_en => cntrlstrm_fifo_wren , Rd_en => cntrl_fifo_rden , Dout => cntrl_fifo_dout , Full => cntrlstrm_fifo_full , Empty => cntrl_fifo_empty , Almost_full => open , Data_count => open , Rd_ack => open , Rd_err => open , Wr_ack => open , Wr_err => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty and cntrl_tready; -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= not cntrl_fifo_empty or (xfer_in_progress and mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= (cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH)) or (xfer_in_progress and mm2s_stop_re); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- Register stop to create re pulse for cleaning shutting down -- stream out during soft reset. REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_d1 <= '0'; else mm2s_stop_d1 <= mm2s_stop; end if; end if; end process REG_STOP; mm2s_stop_re <= mm2s_stop and not mm2s_stop_d1; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast and tvalid need to be asserted during soft -- reset else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not m_axi_sg_aresetn; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => m_axi_sg_aclk , ARST => skid_rst , skid_stop => mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_SYNC_FIFO; -- Primary Clock is asynchronous to Secondary Clock therfore -- instantiate an async fifo. GEN_ASYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 1 generate signal mm2s_stop_reg : std_logic := '0'; -- CR605883 signal p_mm2s_stop_d1 : std_logic := '0'; signal p_mm2s_stop_d2 : std_logic := '0'; signal p_mm2s_stop_d3 : std_logic := '0'; signal p_mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset, soft reset, or mm2s error sinit <= not p_reset_n or p_mm2s_stop_d2; -- Generate Asynchronous FIFO I_CNTRL_STRM_FIFO : entity axi_dma_v7_1_9.axi_dma_afifo_autord generic map( C_DWIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1 , -- Temp work around for issue in async fifo model -- C_DEPTH => CNTRL_FIFO_DEPTH , -- C_CNT_WIDTH => CNTRL_FIFO_CNT_WIDTH , C_DEPTH => 31 , C_CNT_WIDTH => 5 , C_USE_BLKMEM => USE_LOGIC_FIFOS , C_FAMILY => C_FAMILY ) port map( -- Inputs AFIFO_Ainit => sinit , AFIFO_Wr_clk => m_axi_sg_aclk , AFIFO_Wr_en => cntrlstrm_fifo_wren , AFIFO_Din => cntrlstrm_fifo_din , AFIFO_Rd_clk => axi_prmry_aclk , AFIFO_Rd_en => cntrl_fifo_rden , AFIFO_Clr_Rd_Data_Valid => '0' , -- Outputs AFIFO_DValid => cntrl_fifo_dvalid , AFIFO_Dout => cntrl_fifo_dout , AFIFO_Full => cntrlstrm_fifo_full , AFIFO_Empty => cntrl_fifo_empty , AFIFO_Almost_full => open , AFIFO_Almost_empty => open , AFIFO_Wr_count => open , AFIFO_Rd_count => open , AFIFO_Corr_Rd_count => open , AFIFO_Corr_Rd_count_minus1 => open , AFIFO_Rd_ack => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty -- fifo has data and cntrl_tready; -- target ready -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= cntrl_fifo_dvalid or (xfer_in_progress and p_mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- CR605883 -- Register stop to provide pure FF output for synchronizer REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_reg <= '0'; else mm2s_stop_reg <= mm2s_stop; end if; end if; end process REG_STOP; -- Double/triple register mm2s error into primary clock domain -- Triple register to give two versions with min double reg for use -- in rising edge detection. REG_ERR2PRMRY : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(p_reset_n = '0')then p_mm2s_stop_d1 <= '0'; p_mm2s_stop_d2 <= '0'; p_mm2s_stop_d3 <= '0'; else --p_mm2s_stop_d1 <= mm2s_stop; p_mm2s_stop_d1 <= mm2s_stop_reg; p_mm2s_stop_d2 <= p_mm2s_stop_d1; p_mm2s_stop_d3 <= p_mm2s_stop_d2; end if; end if; end process REG_ERR2PRMRY; -- Rising edge pulse for use in shutting down stream output p_mm2s_stop_re <= p_mm2s_stop_d2 and not p_mm2s_stop_d3; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast needs to be asserted during soft reset. -- else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not p_reset_n; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => axi_prmry_aclk , ARST => skid_rst , skid_stop => p_mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_ASYNC_FIFO; end implementation;
-- (c) Copyright 2012 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. ------------------------------------------------------------ ------------------------------------------------------------------------------- -- Filename: axi_dma_mm2s_cntrl_strm.vhd -- Description: This entity is MM2S control stream logic -- -- VHDL-Standard: VHDL'93 ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; use ieee.std_logic_misc.all; library unisim; use unisim.vcomponents.all; library axi_dma_v7_1_9; use axi_dma_v7_1_9.axi_dma_pkg.all; library lib_pkg_v1_0_2; use lib_pkg_v1_0_2.lib_pkg.clog2; use lib_pkg_v1_0_2.lib_pkg.max2; library lib_fifo_v1_0_4; ------------------------------------------------------------------------------- entity axi_dma_mm2s_cntrl_strm is generic( C_PRMRY_IS_ACLK_ASYNC : integer range 0 to 1 := 0; -- Primary MM2S/S2MM sync/async mode -- 0 = synchronous mode - all clocks are synchronous -- 1 = asynchronous mode - Primary data path channels (MM2S and S2MM) -- run asynchronous to AXI Lite, DMA Control, -- and SG. C_PRMY_CMDFIFO_DEPTH : integer range 1 to 16 := 1; -- Depth of DataMover command FIFO C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH : integer range 32 to 32 := 32; -- Master AXI Control Stream Data Width C_FAMILY : string := "virtex7" -- Target FPGA Device Family ); port ( -- Secondary clock / reset m_axi_sg_aclk : in std_logic ; -- m_axi_sg_aresetn : in std_logic ; -- -- -- Primary clock / reset -- axi_prmry_aclk : in std_logic ; -- p_reset_n : in std_logic ; -- -- -- MM2S Error -- mm2s_stop : in std_logic ; -- -- -- Control Stream FIFO write signals (from axi_dma_mm2s_sg_if) -- cntrlstrm_fifo_wren : in std_logic ; -- cntrlstrm_fifo_din : in std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0); -- cntrlstrm_fifo_full : out std_logic ; -- -- -- -- Memory Map to Stream Control Stream Interface -- m_axis_mm2s_cntrl_tdata : out std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- m_axis_mm2s_cntrl_tkeep : out std_logic_vector -- ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0);-- m_axis_mm2s_cntrl_tvalid : out std_logic ; -- m_axis_mm2s_cntrl_tready : in std_logic ; -- m_axis_mm2s_cntrl_tlast : out std_logic -- ); end axi_dma_mm2s_cntrl_strm; ------------------------------------------------------------------------------- -- Architecture ------------------------------------------------------------------------------- architecture implementation of axi_dma_mm2s_cntrl_strm is attribute DowngradeIPIdentifiedWarnings: string; attribute DowngradeIPIdentifiedWarnings of implementation : architecture is "yes"; ------------------------------------------------------------------------------- -- Functions ------------------------------------------------------------------------------- -- No Functions Declared ------------------------------------------------------------------------------- -- Constants Declarations ------------------------------------------------------------------------------- -- Number of words deep fifo needs to be -- Only 5 app fields, but set to 8 so depth is a power of 2 constant CNTRL_FIFO_DEPTH : integer := max2(16,8 * C_PRMY_CMDFIFO_DEPTH); -- Width of fifo rd and wr counts - only used for proper fifo operation constant CNTRL_FIFO_CNT_WIDTH : integer := clog2(CNTRL_FIFO_DEPTH+1); constant USE_LOGIC_FIFOS : integer := 0; -- Use Logic FIFOs constant USE_BRAM_FIFOS : integer := 1; -- Use BRAM FIFOs ------------------------------------------------------------------------------- -- Signal / Type Declarations ------------------------------------------------------------------------------- -- FIFO signals signal cntrl_fifo_rden : std_logic := '0'; signal cntrl_fifo_empty : std_logic := '0'; signal cntrl_fifo_dout : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0) := (others => '0'); signal cntrl_fifo_dvalid: std_logic := '0'; signal cntrl_tdata : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal cntrl_tkeep : std_logic_vector ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal cntrl_tvalid : std_logic := '0'; signal cntrl_tready : std_logic := '0'; signal cntrl_tlast : std_logic := '0'; signal sinit : std_logic := '0'; signal m_valid : std_logic := '0'; signal m_ready : std_logic := '0'; signal m_data : std_logic_vector(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal m_strb : std_logic_vector((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal m_last : std_logic := '0'; signal skid_rst : std_logic := '0'; ------------------------------------------------------------------------------- -- Begin architecture logic ------------------------------------------------------------------------------- begin -- All bytes always valid cntrl_tkeep <= (others => '1'); -- Primary Clock is synchronous to Secondary Clock therfore -- instantiate a sync fifo. GEN_SYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 0 generate signal mm2s_stop_d1 : std_logic := '0'; signal mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset or mm2s stop sinit <= not m_axi_sg_aresetn or mm2s_stop; -- Generate Synchronous FIFO I_CNTRL_FIFO : entity lib_fifo_v1_0_4.sync_fifo_fg generic map ( C_FAMILY => C_FAMILY , C_MEMORY_TYPE => USE_LOGIC_FIFOS, C_WRITE_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_WRITE_DEPTH => CNTRL_FIFO_DEPTH , C_READ_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_READ_DEPTH => CNTRL_FIFO_DEPTH , C_PORTS_DIFFER => 0, C_HAS_DCOUNT => 1, --req for proper fifo operation C_DCOUNT_WIDTH => CNTRL_FIFO_CNT_WIDTH, C_HAS_ALMOST_FULL => 0, C_HAS_RD_ACK => 0, C_HAS_RD_ERR => 0, C_HAS_WR_ACK => 0, C_HAS_WR_ERR => 0, C_RD_ACK_LOW => 0, C_RD_ERR_LOW => 0, C_WR_ACK_LOW => 0, C_WR_ERR_LOW => 0, C_PRELOAD_REGS => 1,-- 1 = first word fall through C_PRELOAD_LATENCY => 0 -- 0 = first word fall through -- C_USE_EMBEDDED_REG => 1 -- 0 ; ) port map ( Clk => m_axi_sg_aclk , Sinit => sinit , Din => cntrlstrm_fifo_din , Wr_en => cntrlstrm_fifo_wren , Rd_en => cntrl_fifo_rden , Dout => cntrl_fifo_dout , Full => cntrlstrm_fifo_full , Empty => cntrl_fifo_empty , Almost_full => open , Data_count => open , Rd_ack => open , Rd_err => open , Wr_ack => open , Wr_err => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty and cntrl_tready; -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= not cntrl_fifo_empty or (xfer_in_progress and mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= (cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH)) or (xfer_in_progress and mm2s_stop_re); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- Register stop to create re pulse for cleaning shutting down -- stream out during soft reset. REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_d1 <= '0'; else mm2s_stop_d1 <= mm2s_stop; end if; end if; end process REG_STOP; mm2s_stop_re <= mm2s_stop and not mm2s_stop_d1; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast and tvalid need to be asserted during soft -- reset else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not m_axi_sg_aresetn; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => m_axi_sg_aclk , ARST => skid_rst , skid_stop => mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_SYNC_FIFO; -- Primary Clock is asynchronous to Secondary Clock therfore -- instantiate an async fifo. GEN_ASYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 1 generate signal mm2s_stop_reg : std_logic := '0'; -- CR605883 signal p_mm2s_stop_d1 : std_logic := '0'; signal p_mm2s_stop_d2 : std_logic := '0'; signal p_mm2s_stop_d3 : std_logic := '0'; signal p_mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset, soft reset, or mm2s error sinit <= not p_reset_n or p_mm2s_stop_d2; -- Generate Asynchronous FIFO I_CNTRL_STRM_FIFO : entity axi_dma_v7_1_9.axi_dma_afifo_autord generic map( C_DWIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1 , -- Temp work around for issue in async fifo model -- C_DEPTH => CNTRL_FIFO_DEPTH , -- C_CNT_WIDTH => CNTRL_FIFO_CNT_WIDTH , C_DEPTH => 31 , C_CNT_WIDTH => 5 , C_USE_BLKMEM => USE_LOGIC_FIFOS , C_FAMILY => C_FAMILY ) port map( -- Inputs AFIFO_Ainit => sinit , AFIFO_Wr_clk => m_axi_sg_aclk , AFIFO_Wr_en => cntrlstrm_fifo_wren , AFIFO_Din => cntrlstrm_fifo_din , AFIFO_Rd_clk => axi_prmry_aclk , AFIFO_Rd_en => cntrl_fifo_rden , AFIFO_Clr_Rd_Data_Valid => '0' , -- Outputs AFIFO_DValid => cntrl_fifo_dvalid , AFIFO_Dout => cntrl_fifo_dout , AFIFO_Full => cntrlstrm_fifo_full , AFIFO_Empty => cntrl_fifo_empty , AFIFO_Almost_full => open , AFIFO_Almost_empty => open , AFIFO_Wr_count => open , AFIFO_Rd_count => open , AFIFO_Corr_Rd_count => open , AFIFO_Corr_Rd_count_minus1 => open , AFIFO_Rd_ack => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty -- fifo has data and cntrl_tready; -- target ready -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= cntrl_fifo_dvalid or (xfer_in_progress and p_mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- CR605883 -- Register stop to provide pure FF output for synchronizer REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_reg <= '0'; else mm2s_stop_reg <= mm2s_stop; end if; end if; end process REG_STOP; -- Double/triple register mm2s error into primary clock domain -- Triple register to give two versions with min double reg for use -- in rising edge detection. REG_ERR2PRMRY : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(p_reset_n = '0')then p_mm2s_stop_d1 <= '0'; p_mm2s_stop_d2 <= '0'; p_mm2s_stop_d3 <= '0'; else --p_mm2s_stop_d1 <= mm2s_stop; p_mm2s_stop_d1 <= mm2s_stop_reg; p_mm2s_stop_d2 <= p_mm2s_stop_d1; p_mm2s_stop_d3 <= p_mm2s_stop_d2; end if; end if; end process REG_ERR2PRMRY; -- Rising edge pulse for use in shutting down stream output p_mm2s_stop_re <= p_mm2s_stop_d2 and not p_mm2s_stop_d3; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast needs to be asserted during soft reset. -- else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not p_reset_n; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => axi_prmry_aclk , ARST => skid_rst , skid_stop => p_mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_ASYNC_FIFO; end implementation;
-- (c) Copyright 2012 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. ------------------------------------------------------------ ------------------------------------------------------------------------------- -- Filename: axi_dma_mm2s_cntrl_strm.vhd -- Description: This entity is MM2S control stream logic -- -- VHDL-Standard: VHDL'93 ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; use ieee.std_logic_misc.all; library unisim; use unisim.vcomponents.all; library axi_dma_v7_1_9; use axi_dma_v7_1_9.axi_dma_pkg.all; library lib_pkg_v1_0_2; use lib_pkg_v1_0_2.lib_pkg.clog2; use lib_pkg_v1_0_2.lib_pkg.max2; library lib_fifo_v1_0_4; ------------------------------------------------------------------------------- entity axi_dma_mm2s_cntrl_strm is generic( C_PRMRY_IS_ACLK_ASYNC : integer range 0 to 1 := 0; -- Primary MM2S/S2MM sync/async mode -- 0 = synchronous mode - all clocks are synchronous -- 1 = asynchronous mode - Primary data path channels (MM2S and S2MM) -- run asynchronous to AXI Lite, DMA Control, -- and SG. C_PRMY_CMDFIFO_DEPTH : integer range 1 to 16 := 1; -- Depth of DataMover command FIFO C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH : integer range 32 to 32 := 32; -- Master AXI Control Stream Data Width C_FAMILY : string := "virtex7" -- Target FPGA Device Family ); port ( -- Secondary clock / reset m_axi_sg_aclk : in std_logic ; -- m_axi_sg_aresetn : in std_logic ; -- -- -- Primary clock / reset -- axi_prmry_aclk : in std_logic ; -- p_reset_n : in std_logic ; -- -- -- MM2S Error -- mm2s_stop : in std_logic ; -- -- -- Control Stream FIFO write signals (from axi_dma_mm2s_sg_if) -- cntrlstrm_fifo_wren : in std_logic ; -- cntrlstrm_fifo_din : in std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0); -- cntrlstrm_fifo_full : out std_logic ; -- -- -- -- Memory Map to Stream Control Stream Interface -- m_axis_mm2s_cntrl_tdata : out std_logic_vector -- (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- m_axis_mm2s_cntrl_tkeep : out std_logic_vector -- ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0);-- m_axis_mm2s_cntrl_tvalid : out std_logic ; -- m_axis_mm2s_cntrl_tready : in std_logic ; -- m_axis_mm2s_cntrl_tlast : out std_logic -- ); end axi_dma_mm2s_cntrl_strm; ------------------------------------------------------------------------------- -- Architecture ------------------------------------------------------------------------------- architecture implementation of axi_dma_mm2s_cntrl_strm is attribute DowngradeIPIdentifiedWarnings: string; attribute DowngradeIPIdentifiedWarnings of implementation : architecture is "yes"; ------------------------------------------------------------------------------- -- Functions ------------------------------------------------------------------------------- -- No Functions Declared ------------------------------------------------------------------------------- -- Constants Declarations ------------------------------------------------------------------------------- -- Number of words deep fifo needs to be -- Only 5 app fields, but set to 8 so depth is a power of 2 constant CNTRL_FIFO_DEPTH : integer := max2(16,8 * C_PRMY_CMDFIFO_DEPTH); -- Width of fifo rd and wr counts - only used for proper fifo operation constant CNTRL_FIFO_CNT_WIDTH : integer := clog2(CNTRL_FIFO_DEPTH+1); constant USE_LOGIC_FIFOS : integer := 0; -- Use Logic FIFOs constant USE_BRAM_FIFOS : integer := 1; -- Use BRAM FIFOs ------------------------------------------------------------------------------- -- Signal / Type Declarations ------------------------------------------------------------------------------- -- FIFO signals signal cntrl_fifo_rden : std_logic := '0'; signal cntrl_fifo_empty : std_logic := '0'; signal cntrl_fifo_dout : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH downto 0) := (others => '0'); signal cntrl_fifo_dvalid: std_logic := '0'; signal cntrl_tdata : std_logic_vector (C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal cntrl_tkeep : std_logic_vector ((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal cntrl_tvalid : std_logic := '0'; signal cntrl_tready : std_logic := '0'; signal cntrl_tlast : std_logic := '0'; signal sinit : std_logic := '0'; signal m_valid : std_logic := '0'; signal m_ready : std_logic := '0'; signal m_data : std_logic_vector(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0) := (others => '0'); signal m_strb : std_logic_vector((C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH/8)-1 downto 0) := (others => '0'); signal m_last : std_logic := '0'; signal skid_rst : std_logic := '0'; ------------------------------------------------------------------------------- -- Begin architecture logic ------------------------------------------------------------------------------- begin -- All bytes always valid cntrl_tkeep <= (others => '1'); -- Primary Clock is synchronous to Secondary Clock therfore -- instantiate a sync fifo. GEN_SYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 0 generate signal mm2s_stop_d1 : std_logic := '0'; signal mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset or mm2s stop sinit <= not m_axi_sg_aresetn or mm2s_stop; -- Generate Synchronous FIFO I_CNTRL_FIFO : entity lib_fifo_v1_0_4.sync_fifo_fg generic map ( C_FAMILY => C_FAMILY , C_MEMORY_TYPE => USE_LOGIC_FIFOS, C_WRITE_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_WRITE_DEPTH => CNTRL_FIFO_DEPTH , C_READ_DATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1, C_READ_DEPTH => CNTRL_FIFO_DEPTH , C_PORTS_DIFFER => 0, C_HAS_DCOUNT => 1, --req for proper fifo operation C_DCOUNT_WIDTH => CNTRL_FIFO_CNT_WIDTH, C_HAS_ALMOST_FULL => 0, C_HAS_RD_ACK => 0, C_HAS_RD_ERR => 0, C_HAS_WR_ACK => 0, C_HAS_WR_ERR => 0, C_RD_ACK_LOW => 0, C_RD_ERR_LOW => 0, C_WR_ACK_LOW => 0, C_WR_ERR_LOW => 0, C_PRELOAD_REGS => 1,-- 1 = first word fall through C_PRELOAD_LATENCY => 0 -- 0 = first word fall through -- C_USE_EMBEDDED_REG => 1 -- 0 ; ) port map ( Clk => m_axi_sg_aclk , Sinit => sinit , Din => cntrlstrm_fifo_din , Wr_en => cntrlstrm_fifo_wren , Rd_en => cntrl_fifo_rden , Dout => cntrl_fifo_dout , Full => cntrlstrm_fifo_full , Empty => cntrl_fifo_empty , Almost_full => open , Data_count => open , Rd_ack => open , Rd_err => open , Wr_ack => open , Wr_err => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty and cntrl_tready; -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= not cntrl_fifo_empty or (xfer_in_progress and mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= (cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH)) or (xfer_in_progress and mm2s_stop_re); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- Register stop to create re pulse for cleaning shutting down -- stream out during soft reset. REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_d1 <= '0'; else mm2s_stop_d1 <= mm2s_stop; end if; end if; end process REG_STOP; mm2s_stop_re <= mm2s_stop and not mm2s_stop_d1; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast and tvalid need to be asserted during soft -- reset else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not m_axi_sg_aresetn; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => m_axi_sg_aclk , ARST => skid_rst , skid_stop => mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_SYNC_FIFO; -- Primary Clock is asynchronous to Secondary Clock therfore -- instantiate an async fifo. GEN_ASYNC_FIFO : if C_PRMRY_IS_ACLK_ASYNC = 1 generate signal mm2s_stop_reg : std_logic := '0'; -- CR605883 signal p_mm2s_stop_d1 : std_logic := '0'; signal p_mm2s_stop_d2 : std_logic := '0'; signal p_mm2s_stop_d3 : std_logic := '0'; signal p_mm2s_stop_re : std_logic := '0'; signal xfer_in_progress : std_logic := '0'; begin -- reset on hard reset, soft reset, or mm2s error sinit <= not p_reset_n or p_mm2s_stop_d2; -- Generate Asynchronous FIFO I_CNTRL_STRM_FIFO : entity axi_dma_v7_1_9.axi_dma_afifo_autord generic map( C_DWIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH + 1 , -- Temp work around for issue in async fifo model -- C_DEPTH => CNTRL_FIFO_DEPTH , -- C_CNT_WIDTH => CNTRL_FIFO_CNT_WIDTH , C_DEPTH => 31 , C_CNT_WIDTH => 5 , C_USE_BLKMEM => USE_LOGIC_FIFOS , C_FAMILY => C_FAMILY ) port map( -- Inputs AFIFO_Ainit => sinit , AFIFO_Wr_clk => m_axi_sg_aclk , AFIFO_Wr_en => cntrlstrm_fifo_wren , AFIFO_Din => cntrlstrm_fifo_din , AFIFO_Rd_clk => axi_prmry_aclk , AFIFO_Rd_en => cntrl_fifo_rden , AFIFO_Clr_Rd_Data_Valid => '0' , -- Outputs AFIFO_DValid => cntrl_fifo_dvalid , AFIFO_Dout => cntrl_fifo_dout , AFIFO_Full => cntrlstrm_fifo_full , AFIFO_Empty => cntrl_fifo_empty , AFIFO_Almost_full => open , AFIFO_Almost_empty => open , AFIFO_Wr_count => open , AFIFO_Rd_count => open , AFIFO_Corr_Rd_count => open , AFIFO_Corr_Rd_count_minus1 => open , AFIFO_Rd_ack => open ); ----------------------------------------------------------------------- -- Control Stream OUT Side ----------------------------------------------------------------------- -- Read if fifo is not empty and target is ready cntrl_fifo_rden <= not cntrl_fifo_empty -- fifo has data and cntrl_tready; -- target ready -- Drive valid if fifo is not empty or in the middle -- of transfer and stop issued. cntrl_tvalid <= cntrl_fifo_dvalid or (xfer_in_progress and p_mm2s_stop_re); -- Pass data out to control channel with MSB driving tlast cntrl_tlast <= cntrl_tvalid and cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH); cntrl_tdata <= cntrl_fifo_dout(C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH-1 downto 0); -- CR605883 -- Register stop to provide pure FF output for synchronizer REG_STOP : process(m_axi_sg_aclk) begin if(m_axi_sg_aclk'EVENT and m_axi_sg_aclk = '1')then if(m_axi_sg_aresetn = '0')then mm2s_stop_reg <= '0'; else mm2s_stop_reg <= mm2s_stop; end if; end if; end process REG_STOP; -- Double/triple register mm2s error into primary clock domain -- Triple register to give two versions with min double reg for use -- in rising edge detection. REG_ERR2PRMRY : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(p_reset_n = '0')then p_mm2s_stop_d1 <= '0'; p_mm2s_stop_d2 <= '0'; p_mm2s_stop_d3 <= '0'; else --p_mm2s_stop_d1 <= mm2s_stop; p_mm2s_stop_d1 <= mm2s_stop_reg; p_mm2s_stop_d2 <= p_mm2s_stop_d1; p_mm2s_stop_d3 <= p_mm2s_stop_d2; end if; end if; end process REG_ERR2PRMRY; -- Rising edge pulse for use in shutting down stream output p_mm2s_stop_re <= p_mm2s_stop_d2 and not p_mm2s_stop_d3; ------------------------------------------------------------- -- Flag transfer in progress. If xfer in progress then -- a fake tlast needs to be asserted during soft reset. -- else no need of tlast. ------------------------------------------------------------- TRANSFER_IN_PROGRESS : process(axi_prmry_aclk) begin if(axi_prmry_aclk'EVENT and axi_prmry_aclk = '1')then if(cntrl_tlast = '1' and cntrl_tvalid = '1' and cntrl_tready = '1')then xfer_in_progress <= '0'; elsif(xfer_in_progress = '0' and cntrl_tvalid = '1')then xfer_in_progress <= '1'; end if; end if; end process TRANSFER_IN_PROGRESS; skid_rst <= not p_reset_n; --------------------------------------------------------------------------- -- Buffer AXI Signals --------------------------------------------------------------------------- CNTRL_SKID_BUF_I : entity axi_dma_v7_1_9.axi_dma_skid_buf generic map( C_WDATA_WIDTH => C_M_AXIS_MM2S_CNTRL_TDATA_WIDTH ) port map( -- System Ports ACLK => axi_prmry_aclk , ARST => skid_rst , skid_stop => p_mm2s_stop_re , -- Slave Side (Stream Data Input) S_VALID => cntrl_tvalid , S_READY => cntrl_tready , S_Data => cntrl_tdata , S_STRB => cntrl_tkeep , S_Last => cntrl_tlast , -- Master Side (Stream Data Output M_VALID => m_axis_mm2s_cntrl_tvalid , M_READY => m_axis_mm2s_cntrl_tready , M_Data => m_axis_mm2s_cntrl_tdata , M_STRB => m_axis_mm2s_cntrl_tkeep , M_Last => m_axis_mm2s_cntrl_tlast ); end generate GEN_ASYNC_FIFO; end implementation;
library ieee; use ieee.numeric_std.all; use ieee.std_logic_1164.all; entity tma_nov is port( clock: in std_logic; input: in std_logic_vector(6 downto 0); output: out std_logic_vector(5 downto 0) ); end tma_nov; architecture behaviour of tma_nov is constant I0: std_logic_vector(4 downto 0) := "11110"; constant T1: std_logic_vector(4 downto 0) := "00000"; constant T3: std_logic_vector(4 downto 0) := "00001"; constant T4: std_logic_vector(4 downto 0) := "01101"; constant T5: std_logic_vector(4 downto 0) := "00101"; constant T6: std_logic_vector(4 downto 0) := "11010"; constant T7: std_logic_vector(4 downto 0) := "11111"; constant T8: std_logic_vector(4 downto 0) := "11100"; constant T9: std_logic_vector(4 downto 0) := "10011"; constant T2: std_logic_vector(4 downto 0) := "10100"; constant R1: std_logic_vector(4 downto 0) := "00100"; constant R2: std_logic_vector(4 downto 0) := "01011"; constant R3: std_logic_vector(4 downto 0) := "00011"; constant R4: std_logic_vector(4 downto 0) := "00010"; constant R6: std_logic_vector(4 downto 0) := "00111"; constant R7: std_logic_vector(4 downto 0) := "11011"; constant R8: std_logic_vector(4 downto 0) := "11000"; constant R5: std_logic_vector(4 downto 0) := "00110"; constant I2: std_logic_vector(4 downto 0) := "01000"; constant I1: std_logic_vector(4 downto 0) := "01001"; signal current_state, next_state: std_logic_vector(4 downto 0); begin process(clock) begin if rising_edge(clock) then current_state <= next_state; end if; end process; process(input, current_state) begin next_state <= "-----"; output <= "------"; case current_state is when I0 => if std_match(input, "11110--") then next_state <= T1; output <= "000000"; elsif std_match(input, "101-1--") then next_state <= R1; output <= "000000"; end if; when T1 => if std_match(input, "1110---") then next_state <= T3; output <= "100000"; elsif std_match(input, "100----") then next_state <= T9; output <= "100000"; elsif std_match(input, "101--1-") then next_state <= T9; output <= "100000"; end if; when T3 => if std_match(input, "111----") then next_state <= T4; output <= "110000"; elsif std_match(input, "100----") then next_state <= T9; output <= "110000"; elsif std_match(input, "101--1-") then next_state <= T9; output <= "110000"; end if; when T4 => if std_match(input, "111----") then next_state <= T5; output <= "001000"; elsif std_match(input, "100----") then next_state <= T9; output <= "001000"; elsif std_match(input, "101--1-") then next_state <= T9; output <= "001000"; end if; when T5 => if std_match(input, "111-0--") then next_state <= T6; output <= "101000"; elsif std_match(input, "100----") then next_state <= T9; output <= "101000"; elsif std_match(input, "101-1--") then next_state <= T9; output <= "101000"; end if; when T6 => if std_match(input, "101-0--") then next_state <= T7; output <= "011000"; elsif std_match(input, "101-1--") then next_state <= T8; output <= "011000"; elsif std_match(input, "100----") then next_state <= T9; output <= "011000"; end if; when T7 => if std_match(input, "10-----") then next_state <= I2; output <= "111000"; end if; when T8 => if std_match(input, "10-----") then next_state <= I2; output <= "000100"; end if; when T9 => if std_match(input, "101-0--") then next_state <= T2; output <= "100100"; elsif std_match(input, "100----") then next_state <= T2; output <= "100100"; end if; when T2 => if std_match(input, "10-----") then next_state <= T8; output <= "010100"; end if; when R1 => if std_match(input, "101-1--") then next_state <= R2; output <= "100010"; elsif std_match(input, "100----") then next_state <= I1; output <= "100010"; elsif std_match(input, "101-0--") then next_state <= I2; output <= "100010"; end if; when R2 => if std_match(input, "101-1--") then next_state <= R3; output <= "010010"; elsif std_match(input, "100----") then next_state <= I1; output <= "010010"; elsif std_match(input, "101-0--") then next_state <= I2; output <= "010010"; end if; when R3 => if std_match(input, "101-1--") then next_state <= R4; output <= "110010"; elsif std_match(input, "101-0-0") then next_state <= R6; output <= "110010"; elsif std_match(input, "101-0-1") then next_state <= R8; output <= "110010"; elsif std_match(input, "100----") then next_state <= R5; output <= "110010"; end if; when R4 => if std_match(input, "101-0-0") then next_state <= R6; output <= "001010"; elsif std_match(input, "101-0-1") then next_state <= R8; output <= "001010"; elsif std_match(input, "100----") then next_state <= R5; output <= "001010"; end if; when R6 => if std_match(input, "101-0--") then next_state <= R7; output <= "011010"; elsif std_match(input, "101-1--") then next_state <= R5; output <= "011010"; elsif std_match(input, "100----") then next_state <= R5; output <= "011010"; end if; when R7 => if std_match(input, "10-----") then next_state <= I2; output <= "111010"; end if; when R8 => if std_match(input, "10-----") then next_state <= R5; output <= "000110"; end if; when R5 => if std_match(input, "101----") then next_state <= I2; output <= "100110"; elsif std_match(input, "100----") then next_state <= I1; output <= "100110"; end if; when I2 => if std_match(input, "-------") then next_state <= I0; output <= "000001"; end if; when I1 => if std_match(input, "111-0--") then next_state <= I0; output <= "010111"; end if; when others => next_state <= "-----"; output <= "------"; end case; end process; end behaviour;
------------------------------------------------------------------------------- -- -- COPYRIGHT (C) 2014, Digilent RO. All rights reserved -- ------------------------------------------------------------------------------- -- FILE NAME : ram2ddr.vhd -- MODULE NAME : RAM to DDR2 Interface Converter with internal XADC -- instantiation -- AUTHOR : Mihaita Nagy -- AUTHOR'S EMAIL : mihaita.nagy@digilent.ro ------------------------------------------------------------------------------- -- REVISION HISTORY -- VERSION DATE AUTHOR DESCRIPTION -- 1.0 2014-02-04 Mihaita Nagy Created -- 1.1 2014-04-04 Mihaita Nagy Fixed double registering write bug ------------------------------------------------------------------------------- -- DESCRIPTION : This module implements a simple Static RAM to DDR2 interface -- converter designed to be used with Digilent Nexys4-DDR board ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; ------------------------------------------------------------------------ -- Module Declaration ------------------------------------------------------------------------ entity Ram2Ddr is port ( -- Common clk_200MHz_i : in std_logic; -- 200 MHz system clock rst_i : in std_logic; -- active high system reset device_temp_i : in std_logic_vector(11 downto 0); -- RAM interface ram_a : in std_logic_vector(26 downto 0); ram_dq_i : in std_logic_vector(15 downto 0); ram_dq_o : out std_logic_vector(15 downto 0); ram_cen : in std_logic; ram_oen : in std_logic; ram_wen : in std_logic; ram_ub : in std_logic; ram_lb : in std_logic; -- DDR2 interface ddr2_addr : out std_logic_vector(12 downto 0); ddr2_ba : out std_logic_vector(2 downto 0); ddr2_ras_n : out std_logic; ddr2_cas_n : out std_logic; ddr2_we_n : out std_logic; ddr2_ck_p : out std_logic_vector(0 downto 0); ddr2_ck_n : out std_logic_vector(0 downto 0); ddr2_cke : out std_logic_vector(0 downto 0); ddr2_cs_n : out std_logic_vector(0 downto 0); ddr2_dm : out std_logic_vector(1 downto 0); ddr2_odt : out std_logic_vector(0 downto 0); ddr2_dq : inout std_logic_vector(15 downto 0); ddr2_dqs_p : inout std_logic_vector(1 downto 0); ddr2_dqs_n : inout std_logic_vector(1 downto 0) ); end Ram2Ddr; architecture Behavioral of Ram2Ddr is ------------------------------------------------------------------------ -- Component Declarations ------------------------------------------------------------------------ component mig_7series_0 port ( -- Inouts ddr2_dq : inout std_logic_vector(15 downto 0); ddr2_dqs_p : inout std_logic_vector(1 downto 0); ddr2_dqs_n : inout std_logic_vector(1 downto 0); -- Outputs ddr2_addr : out std_logic_vector(12 downto 0); ddr2_ba : out std_logic_vector(2 downto 0); ddr2_ras_n : out std_logic; ddr2_cas_n : out std_logic; ddr2_we_n : out std_logic; ddr2_ck_p : out std_logic_vector(0 downto 0); ddr2_ck_n : out std_logic_vector(0 downto 0); ddr2_cke : out std_logic_vector(0 downto 0); ddr2_cs_n : out std_logic_vector(0 downto 0); ddr2_dm : out std_logic_vector(1 downto 0); ddr2_odt : out std_logic_vector(0 downto 0); -- Inputs sys_clk_i : in std_logic; sys_rst : in std_logic; -- user interface signals app_addr : in std_logic_vector(26 downto 0); app_cmd : in std_logic_vector(2 downto 0); app_en : in std_logic; app_wdf_data : in std_logic_vector(127 downto 0); app_wdf_end : in std_logic; app_wdf_mask : in std_logic_vector(15 downto 0); app_wdf_wren : in std_logic; app_rd_data : out std_logic_vector(127 downto 0); app_rd_data_end : out std_logic; app_rd_data_valid : out std_logic; app_rdy : out std_logic; app_wdf_rdy : out std_logic; app_sr_req : in std_logic; app_sr_active : out std_logic; app_ref_req : in std_logic; app_ref_ack : out std_logic; app_zq_req : in std_logic; app_zq_ack : out std_logic; ui_clk : out std_logic; ui_clk_sync_rst : out std_logic; device_temp_i : in std_logic_vector(11 downto 0); init_calib_complete : out std_logic); end component; ------------------------------------------------------------------------ -- Local Type Declarations ------------------------------------------------------------------------ -- FSM type state_type is (stIdle, stPreset, stSendData, stSetCmdRd, stSetCmdWr, stWaitCen); ------------------------------------------------------------------------ -- Constant Declarations ------------------------------------------------------------------------ -- ddr commands constant CMD_WRITE : std_logic_vector(2 downto 0) := "000"; constant CMD_READ : std_logic_vector(2 downto 0) := "001"; ------------------------------------------------------------------------ -- Signal Declarations ------------------------------------------------------------------------ -- state machine signal cState, nState : state_type; -- global signals signal mem_ui_clk : std_logic; signal mem_ui_rst : std_logic; signal rst : std_logic; signal rstn : std_logic; signal sreg : std_logic_vector(1 downto 0); -- ram internal signals signal ram_a_int : std_logic_vector(26 downto 0); signal ram_dq_i_int : std_logic_vector(15 downto 0); signal ram_cen_int : std_logic; signal ram_oen_int : std_logic; signal ram_wen_int : std_logic; signal ram_ub_int : std_logic; signal ram_lb_int : std_logic; -- ddr user interface signals signal mem_addr : std_logic_vector(26 downto 0); -- address for current request signal mem_cmd : std_logic_vector(2 downto 0); -- command for current request signal mem_en : std_logic; -- active-high strobe for 'cmd' and 'addr' signal mem_rdy : std_logic; signal mem_wdf_rdy : std_logic; -- write data FIFO is ready to receive data (wdf_rdy = 1 & wdf_wren = 1) signal mem_wdf_data : std_logic_vector(127 downto 0); signal mem_wdf_end : std_logic; -- active-high last 'wdf_data' signal mem_wdf_mask : std_logic_vector(15 downto 0); signal mem_wdf_wren : std_logic; signal mem_rd_data : std_logic_vector(127 downto 0); signal mem_rd_data_end : std_logic; -- active-high last 'rd_data' signal mem_rd_data_valid : std_logic; -- active-high 'rd_data' valid signal calib_complete : std_logic; -- active-high calibration complete ------------------------------------------------------------------------ -- Signal attributes (debugging) ------------------------------------------------------------------------ attribute FSM_ENCODING : string; attribute FSM_ENCODING of cState : signal is "GRAY"; attribute ASYNC_REG : string; attribute ASYNC_REG of sreg : signal is "TRUE"; ------------------------------------------------------------------------ -- Module Implementation ------------------------------------------------------------------------ begin ------------------------------------------------------------------------ -- Registering the active-low reset for the MIG component ------------------------------------------------------------------------ RSTSYNC: process(clk_200MHz_i) begin if rising_edge(clk_200MHz_i) then sreg <= sreg(0) & rst_i; rstn <= not sreg(1); end if; end process RSTSYNC; ------------------------------------------------------------------------ -- DDR controller instance ------------------------------------------------------------------------ Inst_DDR: mig_7series_0 port map ( ddr2_dq => ddr2_dq, ddr2_dqs_p => ddr2_dqs_p, ddr2_dqs_n => ddr2_dqs_n, ddr2_addr => ddr2_addr, ddr2_ba => ddr2_ba, ddr2_ras_n => ddr2_ras_n, ddr2_cas_n => ddr2_cas_n, ddr2_we_n => ddr2_we_n, ddr2_ck_p => ddr2_ck_p, ddr2_ck_n => ddr2_ck_n, ddr2_cke => ddr2_cke, ddr2_cs_n => ddr2_cs_n, ddr2_dm => ddr2_dm, ddr2_odt => ddr2_odt, -- Inputs sys_clk_i => clk_200MHz_i, sys_rst => rstn, -- user interface signals app_addr => mem_addr, app_cmd => mem_cmd, app_en => mem_en, app_wdf_data => mem_wdf_data, app_wdf_end => mem_wdf_end, app_wdf_mask => mem_wdf_mask, app_wdf_wren => mem_wdf_wren, app_rd_data => mem_rd_data, app_rd_data_end => mem_rd_data_end, app_rd_data_valid => mem_rd_data_valid, app_rdy => mem_rdy, app_wdf_rdy => mem_wdf_rdy, app_sr_req => '0', app_sr_active => open, app_ref_req => '0', app_ref_ack => open, app_zq_req => '0', app_zq_ack => open, ui_clk => mem_ui_clk, ui_clk_sync_rst => mem_ui_rst, device_temp_i => device_temp_i, init_calib_complete => calib_complete); ------------------------------------------------------------------------ -- Registering all inputs of the state machine to 'mem_ui_clk' domain ------------------------------------------------------------------------ REG_IN: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then ram_a_int <= ram_a; ram_dq_i_int <= ram_dq_i; ram_cen_int <= ram_cen; ram_oen_int <= ram_oen; ram_wen_int <= ram_wen; ram_ub_int <= ram_ub; ram_lb_int <= ram_lb; end if; end process REG_IN; ------------------------------------------------------------------------ -- State Machine ------------------------------------------------------------------------ -- Register states SYNC_PROCESS: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then if mem_ui_rst = '1' then cState <= stIdle; else cState <= nState; end if; end if; end process SYNC_PROCESS; -- Next state logic NEXT_STATE_DECODE: process(cState, calib_complete, ram_cen_int, mem_rdy, mem_wdf_rdy, ram_wen_int, ram_oen_int) begin nState <= cState; case(cState) is -- If calibration is done successfully and CEN is -- deasserted then start a new transaction when stIdle => if ram_cen_int = '0' and calib_complete = '1' then nState <= stPreset; end if; -- In this state we store the address and data to -- be written or the address to read from. We need -- this additional state to make sure that all input -- transitions are fully settled and registered when stPreset => if ram_wen_int = '0' then nState <= stSendData; elsif ram_oen_int = '0' then nState <= stSetCmdRd; end if; -- In a write transaction the data it written first -- giving higher priority to 'mem_wdf_rdy' frag over -- 'mem_rdy' when stSendData => if mem_wdf_rdy = '1' then nState <= stSetCmdWr; end if; -- Sending the read command and wait for the 'mem_rdy' -- frag to be asserted (in case it's not) when stSetCmdRd => if mem_rdy = '1' then nState <= stWaitCen; end if; -- Sending the write command after the data has been -- written to the controller FIFO and wait ro the -- 'mem_rdy' frag to be asserted (in case it's not) when stSetCmdWr => if mem_rdy = '1' then nState <= stWaitCen; end if; -- After sending all the control signals and data, we -- wait for the external CEN to signal transaction -- end when stWaitCen => if ram_cen_int = '1' then nState <= stIdle; end if; when others => nState <= stIdle; end case; end process; ------------------------------------------------------------------------ -- Generating the FIFO control and command signals according to the -- current state of the FSM ------------------------------------------------------------------------ MEM_WR_CTL: process(cState) begin if cState = stSendData then mem_wdf_wren <= '1'; mem_wdf_end <= '1'; else mem_wdf_wren <= '0'; mem_wdf_end <= '0'; end if; end process MEM_WR_CTL; MEM_CTL: process(cState) begin if cState = stSetCmdRd then mem_en <= '1'; mem_cmd <= CMD_READ; elsif cState = stSetCmdWr then mem_en <= '1'; mem_cmd <= CMD_WRITE; else mem_en <= '0'; mem_cmd <= (others => '0'); end if; end process MEM_CTL; ------------------------------------------------------------------------ -- Decoding the least significant 3 bits of the address and creating -- accordingly the 'mem_wdf_mask' ------------------------------------------------------------------------ WR_DATA_MSK: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then if cState = stPreset then case(ram_a_int(2 downto 0)) is when "000" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111111111111101"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111111111111110"; else -- 16-bit mem_wdf_mask <= "1111111111111100"; end if; when "001" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111111111110111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111111111111011"; else -- 16-bit mem_wdf_mask <= "1111111111110011"; end if; when "010" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111111111011111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111111111101111"; else -- 16-bit mem_wdf_mask <= "1111111111001111"; end if; when "011" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111111101111111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111111110111111"; else -- 16-bit mem_wdf_mask <= "1111111100111111"; end if; when "100" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111110111111111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111111011111111"; else -- 16-bit mem_wdf_mask <= "1111110011111111"; end if; when "101" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1111011111111111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1111101111111111"; else -- 16-bit mem_wdf_mask <= "1111001111111111"; end if; when "110" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "1101111111111111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1110111111111111"; else -- 16-bit mem_wdf_mask <= "1100111111111111"; end if; when "111" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB mem_wdf_mask <= "0111111111111111"; elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB mem_wdf_mask <= "1011111111111111"; else -- 16-bit mem_wdf_mask <= "0011111111111111"; end if; when others => null; end case; end if; end if; end process WR_DATA_MSK; ------------------------------------------------------------------------ -- Registering write data and read/write address ------------------------------------------------------------------------ WR_DATA_ADDR: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then if cState = stPreset then mem_wdf_data <= ram_dq_i_int & ram_dq_i_int & ram_dq_i_int & ram_dq_i_int & ram_dq_i_int & ram_dq_i_int & ram_dq_i_int & ram_dq_i_int; end if; end if; end process WR_DATA_ADDR; WR_ADDR: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then if cState = stPreset then mem_addr <= ram_a_int(26 downto 3) & "000"; end if; end if; end process WR_ADDR; ------------------------------------------------------------------------ -- Mask and output the read data from the FIFO ------------------------------------------------------------------------ RD_DATA: process(mem_ui_clk) begin if rising_edge(mem_ui_clk) then if cState = stWaitCen and mem_rd_data_valid = '1' and mem_rd_data_end = '1' then case(ram_a_int(2 downto 0)) is when "000" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(15 downto 8) & mem_rd_data(15 downto 8); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(7 downto 0) & mem_rd_data(7 downto 0); else -- 16-bit ram_dq_o <= mem_rd_data(15 downto 0); end if; when "001" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(31 downto 24) & mem_rd_data(31 downto 24); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(23 downto 16) & mem_rd_data(23 downto 16); else -- 16-bit ram_dq_o <= mem_rd_data(31 downto 16); end if; when "010" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(47 downto 40) & mem_rd_data(47 downto 40); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(39 downto 32) & mem_rd_data(39 downto 32); else -- 16-bit ram_dq_o <= mem_rd_data(47 downto 32); end if; when "011" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(63 downto 56) & mem_rd_data(63 downto 56); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(55 downto 48) & mem_rd_data(55 downto 48); else -- 16-bit ram_dq_o <= mem_rd_data(63 downto 48); end if; when "100" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(79 downto 72) & mem_rd_data(79 downto 72); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(71 downto 64) & mem_rd_data(71 downto 64); else -- 16-bit ram_dq_o <= mem_rd_data(79 downto 64); end if; when "101" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(95 downto 88) & mem_rd_data(95 downto 88); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(87 downto 80) & mem_rd_data(87 downto 80); else -- 16-bit ram_dq_o <= mem_rd_data(95 downto 80); end if; when "110" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(111 downto 104) & mem_rd_data(111 downto 104); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(103 downto 96) & mem_rd_data(103 downto 96); else -- 16-bit ram_dq_o <= mem_rd_data(111 downto 96); end if; when "111" => if ram_ub_int = '0' and ram_lb_int = '1' then -- UB ram_dq_o <= mem_rd_data(127 downto 120) & mem_rd_data(127 downto 120); elsif ram_ub_int = '1' and ram_lb_int = '0' then -- LB ram_dq_o <= mem_rd_data(119 downto 112) & mem_rd_data(119 downto 112); else -- 16-bit ram_dq_o <= mem_rd_data(127 downto 112); end if; when others => null; end case; end if; end if; end process RD_DATA; end Behavioral;
library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity top_level is generic( size : integer := 24 ); port( audio_mixed_a_b_left_out : out std_logic_vector(size - 1 downto 0); audio_mixed_a_b_right_out : out std_logic_vector(size - 1 downto 0); audio_channel_a_left_in : in std_logic_vector(size - 1 downto 0); audio_channel_a_right_in : in std_logic_vector(size - 1 downto 0); audio_channel_b_left_in : in std_logic_vector(size - 1 downto 0); audio_channel_b_right_in : in std_logic_vector(size - 1 downto 0) ); end entity top_level; architecture RTL of top_level is begin audio_mixed_a_b_left_out <=std_logic_vector(unsigned( audio_channel_a_left_in (size - 1 downto 0)) + unsigned( audio_channel_b_left_in (size - 1 downto 0))); audio_mixed_a_b_right_out <=std_logic_vector(unsigned( audio_channel_a_right_in(size - 1 downto 0)) + unsigned( audio_channel_b_right_in(size - 1 downto 0))); end architecture RTL;
library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity top_level is generic( size : integer := 24 ); port( audio_mixed_a_b_left_out : out std_logic_vector(size - 1 downto 0); audio_mixed_a_b_right_out : out std_logic_vector(size - 1 downto 0); audio_channel_a_left_in : in std_logic_vector(size - 1 downto 0); audio_channel_a_right_in : in std_logic_vector(size - 1 downto 0); audio_channel_b_left_in : in std_logic_vector(size - 1 downto 0); audio_channel_b_right_in : in std_logic_vector(size - 1 downto 0) ); end entity top_level; architecture RTL of top_level is begin audio_mixed_a_b_left_out <=std_logic_vector(unsigned( audio_channel_a_left_in (size - 1 downto 0)) + unsigned( audio_channel_b_left_in (size - 1 downto 0))); audio_mixed_a_b_right_out <=std_logic_vector(unsigned( audio_channel_a_right_in(size - 1 downto 0)) + unsigned( audio_channel_b_right_in(size - 1 downto 0))); end architecture RTL;
LIBRARY ieee; USE ieee.std_logic_1164.all; ENTITY mux IS GENERIC(select_width, line_width : positive); PORT( INPUT : IN std_logic_vector(2**select_width*line_width-1 DOWNTO 0); SEL : IN std_logic_vector(select_width-1 DOWNTO 0); OUTPUT : OUT std_logic_vector(line_width-1 DOWNTO 0) ); END mux; ARCHITECTURE recursive OF mux IS SIGNAL submux_0_OUT, submux_1_OUT : std_logic_vector(line_width-1 DOWNTO 0); COMPONENT mux GENERIC(select_width, line_width : positive); PORT( INPUT : IN std_logic_vector(2**select_width*line_width-1 DOWNTO 0); SEL : IN std_logic_vector(select_width-1 DOWNTO 0); OUTPUT : OUT std_logic_vector(line_width-1 DOWNTO 0) ); END COMPONENT; FOR ALL : mux USE ENTITY WORK.mux(recursive); BEGIN mux2to1: IF select_width=1 GENERATE OUTPUT <= INPUT(2*line_width-1 DOWNTO line_width) WHEN SEL="1" ELSE INPUT(line_width-1 DOWNTO 0); END GENERATE; muxNto1: IF select_width>1 GENERATE submux_0: mux GENERIC MAP(select_width => select_width-1, line_width => line_width) PORT MAP(INPUT => INPUT(2**(select_width-1)*line_width-1 DOWNTO 0), SEL => SEL(select_width-2 DOWNTO 0), OUTPUT => submux_0_OUT); submux_1: mux GENERIC MAP(select_width => select_width-1, line_width => line_width) PORT MAP(INPUT => INPUT(2**select_width*line_width-1 DOWNTO 2**(select_width-1)*line_width), SEL => SEL(select_width-2 DOWNTO 0), OUTPUT => submux_1_OUT); OUTPUT <= submux_1_OUT WHEN SEL(select_width-1)='1' ELSE submux_0_OUT; END GENERATE; END recursive;
------------------------------------------------------------------------------- -- -- The L port controller. -- -- $Id: t400_io_l.vhd,v 1.4 2006-06-05 20:33:24 arniml Exp $ -- -- Copyright (c) 2006 Arnim Laeuger (arniml@opencores.org) -- -- All rights reserved -- -- Redistribution and use in source and synthezised forms, with or without -- modification, are permitted provided that the following conditions are met: -- -- Redistributions of source code must retain the above copyright notice, -- this list of conditions and the following disclaimer. -- -- Redistributions in synthesized form must reproduce the above copyright -- notice, this list of conditions and the following disclaimer in the -- documentation and/or other materials provided with the distribution. -- -- Neither the name of the author nor the names of other contributors may -- be used to endorse or promote products derived from this software without -- specific prior written permission. -- -- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" -- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, -- THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR -- PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE -- LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR -- CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF -- SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -- INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN -- CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) -- ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -- POSSIBILITY OF SUCH DAMAGE. -- -- Please report bugs to the author, but before you do so, please -- make sure that this is not a derivative work and that -- you have the latest version of this file. -- -- The latest version of this file can be found at: -- http://www.opencores.org/cvsweb.shtml/t400/ -- ------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use work.t400_opt_pack.all; use work.t400_pack.all; entity t400_io_l is generic ( opt_out_type_7_g : integer := t400_opt_out_type_std_c; opt_out_type_6_g : integer := t400_opt_out_type_std_c; opt_out_type_5_g : integer := t400_opt_out_type_std_c; opt_out_type_4_g : integer := t400_opt_out_type_std_c; opt_out_type_3_g : integer := t400_opt_out_type_std_c; opt_out_type_2_g : integer := t400_opt_out_type_std_c; opt_out_type_1_g : integer := t400_opt_out_type_std_c; opt_out_type_0_g : integer := t400_opt_out_type_std_c; opt_microbus_g : integer := t400_opt_no_microbus_c ); port ( -- System Interface ------------------------------------------------------- ck_i : in std_logic; ck_en_i : in boolean; por_i : in boolean; in_en_i : in boolean; -- Control Interface ------------------------------------------------------ op_i : in io_l_op_t; en2_i : in std_logic; m_i : in dw_t; a_i : in dw_t; pm_data_i : in byte_t; q_o : out byte_t; -- Microbus Interface ----------------------------------------------------- cs_n_i : in std_logic; rd_n_i : in std_logic; wr_n_i : in std_logic; -- Port L Interface ------------------------------------------------------- io_l_i : in byte_t; io_l_o : out byte_t; io_l_en_o : out byte_t ); end t400_io_l; use work.t400_io_pack.all; architecture rtl of t400_io_l is signal q_q : byte_t; signal en2_s : std_logic; begin ----------------------------------------------------------------------------- -- Process q_reg -- -- Purpose: -- Implements the Q register. -- q_reg: process (ck_i, por_i) begin if por_i then q_q <= (others => '0'); elsif ck_i'event and ck_i = '1' then if ck_en_i then case op_i is -- Load Q from accumulator and data memory -------------------------- when IOL_LOAD_AM => q_q(7 downto 4) <= a_i; q_q(3 downto 0) <= m_i; -- Load Q from program memory --------------------------------------- when IOL_LOAD_PM => q_q <= pm_data_i; when others => null; end case; end if; -- Microbus functionality if opt_microbus_g = t400_opt_microbus_c and cs_n_i = '0' and wr_n_i = '0' then q_q <= to_X01(io_l_i); end if; end if; end process q_reg; -- ----------------------------------------------------------------------------- ----------------------------------------------------------------------------- -- Multiplexer providing read data to the system. ----------------------------------------------------------------------------- q_o <= to_X01(io_l_i) when op_i = IOL_OUTPUT_L else q_q; ----------------------------------------------------------------------------- -- Dedicated output enable when in Microbus mode ----------------------------------------------------------------------------- en2_s <= cs_n_i nor rd_n_i when opt_microbus_g = t400_opt_microbus_c else en2_i; ----------------------------------------------------------------------------- -- Process out_driver -- -- Purpose: -- Implements the output driver data and enable. -- out_driver: process (en2_s, q_q) begin -- bit 7 io_l_o(7) <= io_out_f(dat => q_q(7), opt => opt_out_type_7_g); io_l_en_o(7) <= io_en_f (en => en2_s, dat => q_q(7), opt => opt_out_type_7_g); -- bit 6 io_l_o(6) <= io_out_f(dat => q_q(6), opt => opt_out_type_6_g); io_l_en_o(6) <= io_en_f (en => en2_s, dat => q_q(6), opt => opt_out_type_6_g); -- bit 5 io_l_o(5) <= io_out_f(dat => q_q(5), opt => opt_out_type_5_g); io_l_en_o(5) <= io_en_f (en => en2_s, dat => q_q(5), opt => opt_out_type_5_g); -- bit 4 io_l_o(4) <= io_out_f(dat => q_q(4), opt => opt_out_type_4_g); io_l_en_o(4) <= io_en_f (en => en2_s, dat => q_q(4), opt => opt_out_type_4_g); -- bit 3 io_l_o(3) <= io_out_f(dat => q_q(3), opt => opt_out_type_3_g); io_l_en_o(3) <= io_en_f (en => en2_s, dat => q_q(3), opt => opt_out_type_3_g); -- bit 2 io_l_o(2) <= io_out_f(dat => q_q(2), opt => opt_out_type_2_g); io_l_en_o(2) <= io_en_f (en => en2_s, dat => q_q(2), opt => opt_out_type_2_g); -- bit 1 io_l_o(1) <= io_out_f(dat => q_q(1), opt => opt_out_type_1_g); io_l_en_o(1) <= io_en_f (en => en2_s, dat => q_q(1), opt => opt_out_type_1_g); -- bit 0 io_l_o(0) <= io_out_f(dat => q_q(0), opt => opt_out_type_0_g); io_l_en_o(0) <= io_en_f (en => en2_s, dat => q_q(0), opt => opt_out_type_0_g); end process out_driver; -- ----------------------------------------------------------------------------- end rtl; ------------------------------------------------------------------------------- -- File History: -- -- $Log: not supported by cvs2svn $ -- Revision 1.3 2006/06/05 14:21:21 arniml -- latch io_l_i upon input enable trigger -- -- Revision 1.2 2006/05/23 01:14:28 arniml -- use to_X01 for primary input bus -- -- Revision 1.1.1.1 2006/05/06 01:56:44 arniml -- import from local CVS repository, LOC_CVS_0_1 -- -------------------------------------------------------------------------------
architecture ARCH of ENTITY is begin -- Passing PROC_2 : process (a) is begin a := b or -- c = '2'; c or d = '1'; c1 := d; e12 := f and g and h or i and j; case CASE_LOGIC is when a = 1 => a := b or c and d = '1'; when b = 1 => if a = 1 then c12 := d or e or f and g; e1 := f and x or y; end if; end case; a := b; end process PROC_2; -- Violations PROC_2 : process (a) is begin a := b or -- c = '2'; c or d = '1'; c1 := d; e12 := f and g and h or i and j; case CASE_LOGIC is when a = 1 => a := b or c and d = '1'; when b = 1 => if a = 1 then c12 := d or e or f and g; e1 := f and x or y; end if; end case; a := b; end process PROC_2; end architecture ARCH;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; entity barrel_tb is end entity; architecture barrel_tb of barrel_tb is component barrel is port ( clk : in std_logic; se : in std_logic_vector(1 downto 0); I : in std_logic_vector(3 downto 0); Q,Q2 : out std_logic_vector(3 downto 0) ); end component; for barrel_0 : barrel use entity work.barrel; signal clk : std_logic :='1'; signal se : std_logic_vector(1 downto 0); signal Q,Q2,I : std_logic_vector(3 downto 0); constant period : time := 10 ns; begin barrel_0: barrel port map(clk=>clk, se=>se, I=>I, Q=>Q, Q2=>Q2); clk_proc: process begin clk<=not clk; wait for period/2; end process; stim_proc: process begin I<="1001"; se<="00"; wait for 20 ns; se<="01"; wait for 20 ns; se<="10"; wait for 20 ns; se<="11"; wait for 20 ns; wait; end process; end architecture;
---------------------------------------------------------------------------------- -- Company: -- Engineer: -- -- Create Date: 20:38:44 05/01/2014 -- Design Name: -- Module Name: fft_1d - Behavioral -- Project Name: -- Target Devices: -- Tool versions: -- Description: -- -- Dependencies: -- -- Revision: -- Revision 0.01 - File Created -- Additional Comments: -- ---------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; -- Uncomment the following library declaration if using -- arithmetic functions with Signed or Unsigned values --use IEEE.NUMERIC_STD.ALL; -- Uncomment the following library declaration if instantiating -- any Xilinx primitives in this code. --library UNISIM; --use UNISIM.VComponents.all; entity fft_1d is Port ( clk : in STD_LOGIC); end fft_1d; architecture Behavioral of fft_1d is begin end Behavioral;
-- ------------------------------------------------------------- -- -- Entity Declaration for ent_aa -- -- Generated -- by: wig -- on: Fri Jul 15 16:37:11 2005 -- cmd: h:/work/eclipse/mix/mix_0.pl -strip -nodelta ../../sigport.xls -- -- !!! Do not edit this file! Autogenerated by MIX !!! -- $Author: wig $ -- $Id: ent_aa-e.vhd,v 1.3 2005/07/15 16:20:07 wig Exp $ -- $Date: 2005/07/15 16:20:07 $ -- $Log: ent_aa-e.vhd,v $ -- Revision 1.3 2005/07/15 16:20:07 wig -- Update all testcases; still problems though -- -- -- Based on Mix Entity Template built into RCSfile: MixWriter.pm,v -- Id: MixWriter.pm,v 1.55 2005/07/13 15:38:34 wig Exp -- -- Generator: mix_0.pl Version: Revision: 1.36 , wilfried.gaensheimer@micronas.com -- (C) 2003 Micronas GmbH -- -- -------------------------------------------------------------- library IEEE; use IEEE.std_logic_1164.all; -- Generated use statements library use_a; use use_a.c_a.c_b.all; use use_a.c_a2.all; -- -- -- Start of Generated Entity ent_aa -- entity ent_aa is -- Generics: -- No Generated Generics for Entity ent_aa -- Generated Port Declaration: port( -- Generated Port for Entity ent_aa port_aa_1 : out std_ulogic; port_aa_2 : out std_ulogic; -- __I_AUTO_REDUCED_BUS2SIGNAL port_aa_3 : out std_ulogic; port_aa_4 : in std_ulogic; port_aa_5 : out std_ulogic_vector(3 downto 0); port_aa_6 : out std_ulogic_vector(3 downto 0); sig_07 : out std_ulogic_vector(5 downto 0); sig_08 : out std_ulogic_vector(8 downto 2); sig_13 : out std_ulogic_vector(4 downto 0) -- End of Generated Port for Entity ent_aa ); end ent_aa; -- -- End of Generated Entity ent_aa -- -- --!End of Entity/ies -- --------------------------------------------------------------
library IEEE; use IEEE.STD_LOGIC_1164.all; package hash_array_pkg is type hash_array is array(integer range <>) of std_logic_vector(127 downto 0); type md5_indata_t is record data_0 : std_logic_vector(31 downto 0); data_1 : std_logic_vector(31 downto 0); start : std_logic; len : std_logic_vector(7 downto 0); end record; type md5_indata_t_array is array(integer range <>) of md5_indata_t; end hash_array_pkg;
-------------------------------------------------------------------------------- -- -- FIFO Generator v8.4 Core - core wrapper -- -------------------------------------------------------------------------------- -- -- (c) Copyright 2009 - 2010 Xilinx, Inc. All rights reserved. -- -- This file contains confidential and proprietary information -- of Xilinx, Inc. and is protected under U.S. and -- international copyright and other intellectual property -- laws. -- -- DISCLAIMER -- This disclaimer is not a license and does not grant any -- rights to the materials distributed herewith. Except as -- otherwise provided in a valid license issued to you by -- Xilinx, and to the maximum extent permitted by applicable -- law: (1) THESE MATERIALS ARE MADE AVAILABLE "AS IS" AND -- WITH ALL FAULTS, AND XILINX HEREBY DISCLAIMS ALL WARRANTIES -- AND CONDITIONS, EXPRESS, IMPLIED, OR STATUTORY, INCLUDING -- BUT NOT LIMITED TO WARRANTIES OF MERCHANTABILITY, NON- -- INFRINGEMENT, OR FITNESS FOR ANY PARTICULAR PURPOSE; and -- (2) Xilinx shall not be liable (whether in contract or tort, -- including negligence, or under any other theory of -- liability) for any loss or damage of any kind or nature -- related to, arising under or in connection with these -- materials, including for any direct, or any indirect, -- special, incidental, or consequential loss or damage -- (including loss of data, profits, goodwill, or any type of -- loss or damage suffered as a result of any action brought -- by a third party) even if such damage or loss was -- reasonably foreseeable or Xilinx had been advised of the -- possibility of the same. -- -- CRITICAL APPLICATIONS -- Xilinx products are not designed or intended to be fail- -- safe, or for use in any application requiring fail-safe -- performance, such as life-support or safety devices or -- systems, Class III medical devices, nuclear facilities, -- applications related to the deployment of airbags, or any -- other applications that could lead to death, personal -- injury, or severe property or environmental damage -- (individually and collectively, "Critical -- Applications"). Customer assumes the sole risk and -- liability of any use of Xilinx products in Critical -- Applications, subject only to applicable laws and -- regulations governing limitations on product liability. -- -- THIS COPYRIGHT NOTICE AND DISCLAIMER MUST BE RETAINED AS -- PART OF THIS FILE AT ALL TIMES. -------------------------------------------------------------------------------- -- -- Filename: fifo_64x512_hf_top.vhd -- -- Description: -- This is the FIFO core wrapper with BUFG instances for clock connections. -- -------------------------------------------------------------------------------- -- Library Declarations -------------------------------------------------------------------------------- library ieee; use ieee.std_logic_1164.all; use ieee.std_logic_arith.all; use ieee.std_logic_unsigned.all; library unisim; use unisim.vcomponents.all; -------------------------------------------------------------------------------- -- Entity Declaration -------------------------------------------------------------------------------- entity fifo_64x512_hf_top is PORT ( CLK : IN std_logic; RST : IN std_logic; PROG_FULL : OUT std_logic; PROG_EMPTY : OUT std_logic; WR_EN : IN std_logic; RD_EN : IN std_logic; DIN : IN std_logic_vector(64-1 DOWNTO 0); DOUT : OUT std_logic_vector(64-1 DOWNTO 0); FULL : OUT std_logic; EMPTY : OUT std_logic); end fifo_64x512_hf_top; architecture xilinx of fifo_64x512_hf_top is SIGNAL clk_i : std_logic; component fifo_64x512_hf is PORT ( CLK : IN std_logic; RST : IN std_logic; PROG_FULL : OUT std_logic; PROG_EMPTY : OUT std_logic; WR_EN : IN std_logic; RD_EN : IN std_logic; DIN : IN std_logic_vector(64-1 DOWNTO 0); DOUT : OUT std_logic_vector(64-1 DOWNTO 0); FULL : OUT std_logic; EMPTY : OUT std_logic); end component; begin clk_buf: bufg PORT map( i => CLK, o => clk_i ); fg0 : fifo_64x512_hf PORT MAP ( CLK => clk_i, RST => rst, PROG_FULL => prog_full, PROG_EMPTY => prog_empty, WR_EN => wr_en, RD_EN => rd_en, DIN => din, DOUT => dout, FULL => full, EMPTY => empty); end xilinx;
-- Copyright 1986-2018 Xilinx, Inc. All Rights Reserved. -- -------------------------------------------------------------------------------- -- Tool Version: Vivado v.2018.2 (win64) Build 2258646 Thu Jun 14 20:03:12 MDT 2018 -- Date : Mon Sep 16 05:33:22 2019 -- Host : varun-laptop running 64-bit Service Pack 1 (build 7601) -- Command : write_vhdl -force -mode synth_stub -rename_top decalper_eb_ot_sdeen_pot_pi_dehcac_xnilix -prefix -- decalper_eb_ot_sdeen_pot_pi_dehcac_xnilix_ design_1_pointer_basic_0_1_stub.vhdl -- Design : design_1_pointer_basic_0_1 -- Purpose : Stub declaration of top-level module interface -- Device : xc7z010clg400-1 -- -------------------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; entity decalper_eb_ot_sdeen_pot_pi_dehcac_xnilix is Port ( s_axi_pointer_basic_io_AWADDR : in STD_LOGIC_VECTOR ( 4 downto 0 ); s_axi_pointer_basic_io_AWVALID : in STD_LOGIC; s_axi_pointer_basic_io_AWREADY : out STD_LOGIC; s_axi_pointer_basic_io_WDATA : in STD_LOGIC_VECTOR ( 31 downto 0 ); s_axi_pointer_basic_io_WSTRB : in STD_LOGIC_VECTOR ( 3 downto 0 ); s_axi_pointer_basic_io_WVALID : in STD_LOGIC; s_axi_pointer_basic_io_WREADY : out STD_LOGIC; s_axi_pointer_basic_io_BRESP : out STD_LOGIC_VECTOR ( 1 downto 0 ); s_axi_pointer_basic_io_BVALID : out STD_LOGIC; s_axi_pointer_basic_io_BREADY : in STD_LOGIC; s_axi_pointer_basic_io_ARADDR : in STD_LOGIC_VECTOR ( 4 downto 0 ); s_axi_pointer_basic_io_ARVALID : in STD_LOGIC; s_axi_pointer_basic_io_ARREADY : out STD_LOGIC; s_axi_pointer_basic_io_RDATA : out STD_LOGIC_VECTOR ( 31 downto 0 ); s_axi_pointer_basic_io_RRESP : out STD_LOGIC_VECTOR ( 1 downto 0 ); s_axi_pointer_basic_io_RVALID : out STD_LOGIC; s_axi_pointer_basic_io_RREADY : in STD_LOGIC; ap_clk : in STD_LOGIC; ap_rst_n : in STD_LOGIC; interrupt : out STD_LOGIC ); end decalper_eb_ot_sdeen_pot_pi_dehcac_xnilix; architecture stub of decalper_eb_ot_sdeen_pot_pi_dehcac_xnilix is attribute syn_black_box : boolean; attribute black_box_pad_pin : string; attribute syn_black_box of stub : architecture is true; attribute black_box_pad_pin of stub : architecture is "s_axi_pointer_basic_io_AWADDR[4:0],s_axi_pointer_basic_io_AWVALID,s_axi_pointer_basic_io_AWREADY,s_axi_pointer_basic_io_WDATA[31:0],s_axi_pointer_basic_io_WSTRB[3:0],s_axi_pointer_basic_io_WVALID,s_axi_pointer_basic_io_WREADY,s_axi_pointer_basic_io_BRESP[1:0],s_axi_pointer_basic_io_BVALID,s_axi_pointer_basic_io_BREADY,s_axi_pointer_basic_io_ARADDR[4:0],s_axi_pointer_basic_io_ARVALID,s_axi_pointer_basic_io_ARREADY,s_axi_pointer_basic_io_RDATA[31:0],s_axi_pointer_basic_io_RRESP[1:0],s_axi_pointer_basic_io_RVALID,s_axi_pointer_basic_io_RREADY,ap_clk,ap_rst_n,interrupt"; attribute X_CORE_INFO : string; attribute X_CORE_INFO of stub : architecture is "pointer_basic,Vivado 2018.2"; begin end;
LIBRARY ieee; USE ieee.std_logic_1164.all; USE ieee.numeric_std.all; ENTITY mult_n IS GENERIC( Nb: INTEGER := 9 ); PORT( in_a: IN STD_LOGIC_VECTOR(Nb-1 DOWNTO 0); in_b: IN STD_LOGIC_VECTOR(Nb-1 DOWNTO 0); mult_out: OUT STD_LOGIC_VECTOR(2*Nb-1 DOWNTO 0) ); END ENTITY; ARCHITECTURE beh_mult OF mult_n IS SIGNAL mult_signed: SIGNED((2*Nb)-1 DOWNTO 0); BEGIN multiplication: PROCESS(in_a, in_b) BEGIN mult_signed <= SIGNED(in_a) * SIGNED(in_b); END PROCESS; mult_out <= STD_LOGIC_VECTOR(mult_signed); END beh_mult;
library ieee; use ieee.std_logic_1164.all; library ieee; use ieee.numeric_std.all; entity add_570 is port ( result : out std_logic_vector(31 downto 0); in_a : in std_logic_vector(31 downto 0); in_b : in std_logic_vector(31 downto 0) ); end add_570; architecture augh of add_570 is signal carry_inA : std_logic_vector(33 downto 0); signal carry_inB : std_logic_vector(33 downto 0); signal carry_res : std_logic_vector(33 downto 0); begin -- To handle the CI input, the operation is '1' + CI -- If CI is not present, the operation is '1' + '0' carry_inA <= '0' & in_a & '1'; carry_inB <= '0' & in_b & '0'; -- Compute the result carry_res <= std_logic_vector(unsigned(carry_inA) + unsigned(carry_inB)); -- Set the outputs result <= carry_res(32 downto 1); end architecture;
library ieee; use ieee.std_logic_1164.all; library ieee; use ieee.numeric_std.all; entity add_570 is port ( result : out std_logic_vector(31 downto 0); in_a : in std_logic_vector(31 downto 0); in_b : in std_logic_vector(31 downto 0) ); end add_570; architecture augh of add_570 is signal carry_inA : std_logic_vector(33 downto 0); signal carry_inB : std_logic_vector(33 downto 0); signal carry_res : std_logic_vector(33 downto 0); begin -- To handle the CI input, the operation is '1' + CI -- If CI is not present, the operation is '1' + '0' carry_inA <= '0' & in_a & '1'; carry_inB <= '0' & in_b & '0'; -- Compute the result carry_res <= std_logic_vector(unsigned(carry_inA) + unsigned(carry_inB)); -- Set the outputs result <= carry_res(32 downto 1); end architecture;
library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.STD_LOGIC_ARITH.ALL; use IEEE.STD_LOGIC_UNSIGNED.ALL; library UNISIM; use UNISIM.VComponents.all; entity FPMultiply_top is port(switches : in std_logic_vector(7 downto 0); result : out std_logic_vector(7 downto 0)); end FPMultiply_top; architecture Behavioral of FPMultiply_top is component FPMultiply is port( A : in std_logic_vector(31 downto 0); B : in std_logic_vector(31 downto 0); R : out std_logic_vector(31 downto 0)); end component; signal result_s : std_logic_vector(31 downto 0); signal A_s, B_s : std_logic_vector(31 downto 0); begin A_s <= x"0000000" & switches(3 downto 0); B_s <= x"0000000" & switches(7 downto 4); fpm : FPMultiply port map( A => A_s, B => B_s, R => result_s); result <= result_s(7 downto 0); end Behavioral;
-- -- Copyright (c) 2011 OrphanedGland (wilhelm.klink@gmail.com) -- Send donations to : 1PioyqqFWXbKryxysGqoq5XAu9MTRANCEP -- -- This program is free software: you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program. If not, see <http://www.gnu.org/licenses/>. -- -- SHA256 core using H+K+W precalculation technique -- Inspired by fpgaminer's sha256_transform.v library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity sha256_pc is generic ( default_h : boolean := true ); port ( clk : in std_logic; reset : in std_logic; msg_in : in std_logic_vector(511 downto 0); h_in : in std_logic_vector(255 downto 0) := (others => '0'); digest : out std_logic_vector(255 downto 0) ); end entity sha256_pc; architecture sha256_pc_rtl of sha256_pc is alias slv is std_logic_vector; subtype msg is unsigned(511 downto 0); subtype word is unsigned(31 downto 0); function e0(x: unsigned(31 downto 0)) return unsigned is begin return (x(1 downto 0) & x(31 downto 2)) xor (x(12 downto 0) & x(31 downto 13)) xor (x(21 downto 0) & x(31 downto 22)); end e0; function e1(x: unsigned(31 downto 0)) return unsigned is begin return (x(5 downto 0) & x(31 downto 6)) xor (x(10 downto 0) & x(31 downto 11)) xor (x(24 downto 0) & x(31 downto 25)); end e1; function s0(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 29) := x(6 downto 4) xor x(17 downto 15); y(28 downto 0) := (x(3 downto 0) & x(31 downto 7)) xor (x(14 downto 0) & x(31 downto 18)) xor x(31 downto 3); return y; end s0; function s1(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 22) := x(16 downto 7) xor x(18 downto 9); y(21 downto 0) := (x(6 downto 0) & x(31 downto 17)) xor (x(8 downto 0) & x(31 downto 19)) xor x(31 downto 10); return y; end s1; function ch(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (not(x) and z); end ch; function maj(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (x and z) xor (y and z); end maj; type msg_array is array(0 to 63) of msg; type word_array is array(0 to 63) of word; type hash_array is array(0 to 7) of word; constant k : word_array := ( X"428a2f98", X"71374491", X"b5c0fbcf", X"e9b5dba5", X"3956c25b", X"59f111f1", X"923f82a4", X"ab1c5ed5", X"d807aa98", X"12835b01", X"243185be", X"550c7dc3", X"72be5d74", X"80deb1fe", X"9bdc06a7", X"c19bf174", X"e49b69c1", X"efbe4786", X"0fc19dc6", X"240ca1cc", X"2de92c6f", X"4a7484aa", X"5cb0a9dc", X"76f988da", X"983e5152", X"a831c66d", X"b00327c8", X"bf597fc7", X"c6e00bf3", X"d5a79147", X"06ca6351", X"14292967", X"27b70a85", X"2e1b2138", X"4d2c6dfc", X"53380d13", X"650a7354", X"766a0abb", X"81c2c92e", X"92722c85", X"a2bfe8a1", X"a81a664b", X"c24b8b70", X"c76c51a3", X"d192e819", X"d6990624", X"f40e3585", X"106aa070", X"19a4c116", X"1e376c08", X"2748774c", X"34b0bcb5", X"391c0cb3", X"4ed8aa4a", X"5b9cca4f", X"682e6ff3", X"748f82ee", X"78a5636f", X"84c87814", X"8cc70208", X"90befffa", X"a4506ceb", X"bef9a3f7", X"c67178f2" ); constant h_default : hash_array := ( X"6a09e667", X"bb67ae85", X"3c6ef372", X"a54ff53a", X"510e527f", X"9b05688c", X"1f83d9ab", X"5be0cd19" ); signal w : msg_array; signal new_w : word_array; signal t1 : word_array; signal t2 : word_array; signal a : word_array; signal b : word_array; signal c : word_array; signal d : word_array; signal e : word_array; signal f : word_array; signal g : word_array; signal h : word_array; signal hkw_precalc : word_array; signal hash : hash_array; signal h_init : hash_array; signal q_w : msg_array; signal q_a : word_array; signal q_b : word_array; signal q_c : word_array; signal q_d : word_array; signal q_e : word_array; signal q_f : word_array; signal q_g : word_array; signal q_h : word_array; signal q_hkw_precalc : word_array; signal q_hash : hash_array; signal q_msg : msg; begin output_mapping: for i in 0 to 7 generate --digest((i+1)*32-1 downto i*32) <= slv(q_hash(7-i)); digest((i+1)*32-1 downto i*32) <= slv(q_hash(i)); end generate output_mapping; default_h_gen: if default_h = true generate h_init <= h_default; end generate default_h_gen; h_gen: if default_h = false generate h_array_gen: for i in 0 to 7 generate h_init(i) <= unsigned(h_in((i+1)*32-1 downto i*32)); end generate h_array_gen; end generate h_gen; hkw_precalc(0) <= h_init(7) + k(0) + unsigned(msg_in(31 downto 0)); hash_pipeline: for i in 0 to 63 generate first_stage: if i = 0 generate t1_no_precalc_gen: if default_h = true generate -- no point precalculating when constants are used, so save a clock cycle t1(i) <= h_init(7) + e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + k(i) + w(i)(31 downto 0); w(i) <= unsigned(msg_in); end generate t1_no_precalc_gen; t1_precalc_gen: if default_h = false generate t1(i) <= e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + q_hkw_precalc(i); w(i) <= q_msg; end generate t1_precalc_gen; t2(i) <= e0(h_init(0)) + maj(h_init(0), h_init(1), h_init(2)); a(i) <= t1(i) + t2(i); b(i) <= h_init(0); c(i) <= h_init(1); d(i) <= h_init(2); e(i) <= h_init(3) + t1(i); f(i) <= h_init(4); g(i) <= h_init(5); h(i) <= h_init(6); hkw_precalc(i+1) <= h_init(6) + k(i+1) + w(i)(63 downto 32); end generate first_stage; other_stages: if i /= 0 generate t1(i) <= e1(q_e(i-1)) + ch(q_e(i-1), q_f(i-1), q_g(i-1)) + q_hkw_precalc(i); t2(i) <= e0(q_a(i-1)) + maj(q_a(i-1), q_b(i-1), q_c(i-1)); new_w(i) <= s1(q_w(i-1)(479 downto 448)) + q_w(i-1)(319 downto 288) + s0(q_w(i-1)(63 downto 32)) + q_w(i-1)(31 downto 0); w(i) <= new_w(i) & q_w(i-1)(511 downto 32); a(i) <= t1(i) + t2(i); b(i) <= q_a(i-1); c(i) <= q_b(i-1); d(i) <= q_c(i-1); e(i) <= q_d(i-1) + t1(i); f(i) <= q_e(i-1); g(i) <= q_f(i-1); h(i) <= q_g(i-1); precalc: if i /= 63 generate hkw_precalc(i+1) <= q_g(i-1) + k(i+1) + w(i)(63 downto 32); end generate precalc; end generate other_stages; end generate hash_pipeline; hash(0) <= q_a(63) + h_init(0); hash(1) <= q_b(63) + h_init(1); hash(2) <= q_c(63) + h_init(2); hash(3) <= q_d(63) + h_init(3); hash(4) <= q_e(63) + h_init(4); hash(5) <= q_f(63) + h_init(5); hash(6) <= q_g(63) + h_init(6); hash(7) <= q_h(63) + h_init(7); registers : process(clk, reset) is begin if reset = '1' then null; elsif rising_edge(clk) then q_msg <= unsigned(msg_in); q_w <= w; q_a <= a; q_b <= b; q_c <= c; q_d <= d; q_e <= e; q_f <= f; q_g <= g; q_h <= h; q_hkw_precalc <= hkw_precalc; q_hash <= hash; end if; end process registers; end architecture sha256_pc_rtl;
-- -- Copyright (c) 2011 OrphanedGland (wilhelm.klink@gmail.com) -- Send donations to : 1PioyqqFWXbKryxysGqoq5XAu9MTRANCEP -- -- This program is free software: you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program. If not, see <http://www.gnu.org/licenses/>. -- -- SHA256 core using H+K+W precalculation technique -- Inspired by fpgaminer's sha256_transform.v library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity sha256_pc is generic ( default_h : boolean := true ); port ( clk : in std_logic; reset : in std_logic; msg_in : in std_logic_vector(511 downto 0); h_in : in std_logic_vector(255 downto 0) := (others => '0'); digest : out std_logic_vector(255 downto 0) ); end entity sha256_pc; architecture sha256_pc_rtl of sha256_pc is alias slv is std_logic_vector; subtype msg is unsigned(511 downto 0); subtype word is unsigned(31 downto 0); function e0(x: unsigned(31 downto 0)) return unsigned is begin return (x(1 downto 0) & x(31 downto 2)) xor (x(12 downto 0) & x(31 downto 13)) xor (x(21 downto 0) & x(31 downto 22)); end e0; function e1(x: unsigned(31 downto 0)) return unsigned is begin return (x(5 downto 0) & x(31 downto 6)) xor (x(10 downto 0) & x(31 downto 11)) xor (x(24 downto 0) & x(31 downto 25)); end e1; function s0(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 29) := x(6 downto 4) xor x(17 downto 15); y(28 downto 0) := (x(3 downto 0) & x(31 downto 7)) xor (x(14 downto 0) & x(31 downto 18)) xor x(31 downto 3); return y; end s0; function s1(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 22) := x(16 downto 7) xor x(18 downto 9); y(21 downto 0) := (x(6 downto 0) & x(31 downto 17)) xor (x(8 downto 0) & x(31 downto 19)) xor x(31 downto 10); return y; end s1; function ch(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (not(x) and z); end ch; function maj(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (x and z) xor (y and z); end maj; type msg_array is array(0 to 63) of msg; type word_array is array(0 to 63) of word; type hash_array is array(0 to 7) of word; constant k : word_array := ( X"428a2f98", X"71374491", X"b5c0fbcf", X"e9b5dba5", X"3956c25b", X"59f111f1", X"923f82a4", X"ab1c5ed5", X"d807aa98", X"12835b01", X"243185be", X"550c7dc3", X"72be5d74", X"80deb1fe", X"9bdc06a7", X"c19bf174", X"e49b69c1", X"efbe4786", X"0fc19dc6", X"240ca1cc", X"2de92c6f", X"4a7484aa", X"5cb0a9dc", X"76f988da", X"983e5152", X"a831c66d", X"b00327c8", X"bf597fc7", X"c6e00bf3", X"d5a79147", X"06ca6351", X"14292967", X"27b70a85", X"2e1b2138", X"4d2c6dfc", X"53380d13", X"650a7354", X"766a0abb", X"81c2c92e", X"92722c85", X"a2bfe8a1", X"a81a664b", X"c24b8b70", X"c76c51a3", X"d192e819", X"d6990624", X"f40e3585", X"106aa070", X"19a4c116", X"1e376c08", X"2748774c", X"34b0bcb5", X"391c0cb3", X"4ed8aa4a", X"5b9cca4f", X"682e6ff3", X"748f82ee", X"78a5636f", X"84c87814", X"8cc70208", X"90befffa", X"a4506ceb", X"bef9a3f7", X"c67178f2" ); constant h_default : hash_array := ( X"6a09e667", X"bb67ae85", X"3c6ef372", X"a54ff53a", X"510e527f", X"9b05688c", X"1f83d9ab", X"5be0cd19" ); signal w : msg_array; signal new_w : word_array; signal t1 : word_array; signal t2 : word_array; signal a : word_array; signal b : word_array; signal c : word_array; signal d : word_array; signal e : word_array; signal f : word_array; signal g : word_array; signal h : word_array; signal hkw_precalc : word_array; signal hash : hash_array; signal h_init : hash_array; signal q_w : msg_array; signal q_a : word_array; signal q_b : word_array; signal q_c : word_array; signal q_d : word_array; signal q_e : word_array; signal q_f : word_array; signal q_g : word_array; signal q_h : word_array; signal q_hkw_precalc : word_array; signal q_hash : hash_array; signal q_msg : msg; begin output_mapping: for i in 0 to 7 generate --digest((i+1)*32-1 downto i*32) <= slv(q_hash(7-i)); digest((i+1)*32-1 downto i*32) <= slv(q_hash(i)); end generate output_mapping; default_h_gen: if default_h = true generate h_init <= h_default; end generate default_h_gen; h_gen: if default_h = false generate h_array_gen: for i in 0 to 7 generate h_init(i) <= unsigned(h_in((i+1)*32-1 downto i*32)); end generate h_array_gen; end generate h_gen; hkw_precalc(0) <= h_init(7) + k(0) + unsigned(msg_in(31 downto 0)); hash_pipeline: for i in 0 to 63 generate first_stage: if i = 0 generate t1_no_precalc_gen: if default_h = true generate -- no point precalculating when constants are used, so save a clock cycle t1(i) <= h_init(7) + e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + k(i) + w(i)(31 downto 0); w(i) <= unsigned(msg_in); end generate t1_no_precalc_gen; t1_precalc_gen: if default_h = false generate t1(i) <= e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + q_hkw_precalc(i); w(i) <= q_msg; end generate t1_precalc_gen; t2(i) <= e0(h_init(0)) + maj(h_init(0), h_init(1), h_init(2)); a(i) <= t1(i) + t2(i); b(i) <= h_init(0); c(i) <= h_init(1); d(i) <= h_init(2); e(i) <= h_init(3) + t1(i); f(i) <= h_init(4); g(i) <= h_init(5); h(i) <= h_init(6); hkw_precalc(i+1) <= h_init(6) + k(i+1) + w(i)(63 downto 32); end generate first_stage; other_stages: if i /= 0 generate t1(i) <= e1(q_e(i-1)) + ch(q_e(i-1), q_f(i-1), q_g(i-1)) + q_hkw_precalc(i); t2(i) <= e0(q_a(i-1)) + maj(q_a(i-1), q_b(i-1), q_c(i-1)); new_w(i) <= s1(q_w(i-1)(479 downto 448)) + q_w(i-1)(319 downto 288) + s0(q_w(i-1)(63 downto 32)) + q_w(i-1)(31 downto 0); w(i) <= new_w(i) & q_w(i-1)(511 downto 32); a(i) <= t1(i) + t2(i); b(i) <= q_a(i-1); c(i) <= q_b(i-1); d(i) <= q_c(i-1); e(i) <= q_d(i-1) + t1(i); f(i) <= q_e(i-1); g(i) <= q_f(i-1); h(i) <= q_g(i-1); precalc: if i /= 63 generate hkw_precalc(i+1) <= q_g(i-1) + k(i+1) + w(i)(63 downto 32); end generate precalc; end generate other_stages; end generate hash_pipeline; hash(0) <= q_a(63) + h_init(0); hash(1) <= q_b(63) + h_init(1); hash(2) <= q_c(63) + h_init(2); hash(3) <= q_d(63) + h_init(3); hash(4) <= q_e(63) + h_init(4); hash(5) <= q_f(63) + h_init(5); hash(6) <= q_g(63) + h_init(6); hash(7) <= q_h(63) + h_init(7); registers : process(clk, reset) is begin if reset = '1' then null; elsif rising_edge(clk) then q_msg <= unsigned(msg_in); q_w <= w; q_a <= a; q_b <= b; q_c <= c; q_d <= d; q_e <= e; q_f <= f; q_g <= g; q_h <= h; q_hkw_precalc <= hkw_precalc; q_hash <= hash; end if; end process registers; end architecture sha256_pc_rtl;
-- -- Copyright (c) 2011 OrphanedGland (wilhelm.klink@gmail.com) -- Send donations to : 1PioyqqFWXbKryxysGqoq5XAu9MTRANCEP -- -- This program is free software: you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program. If not, see <http://www.gnu.org/licenses/>. -- -- SHA256 core using H+K+W precalculation technique -- Inspired by fpgaminer's sha256_transform.v library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity sha256_pc is generic ( default_h : boolean := true ); port ( clk : in std_logic; reset : in std_logic; msg_in : in std_logic_vector(511 downto 0); h_in : in std_logic_vector(255 downto 0) := (others => '0'); digest : out std_logic_vector(255 downto 0) ); end entity sha256_pc; architecture sha256_pc_rtl of sha256_pc is alias slv is std_logic_vector; subtype msg is unsigned(511 downto 0); subtype word is unsigned(31 downto 0); function e0(x: unsigned(31 downto 0)) return unsigned is begin return (x(1 downto 0) & x(31 downto 2)) xor (x(12 downto 0) & x(31 downto 13)) xor (x(21 downto 0) & x(31 downto 22)); end e0; function e1(x: unsigned(31 downto 0)) return unsigned is begin return (x(5 downto 0) & x(31 downto 6)) xor (x(10 downto 0) & x(31 downto 11)) xor (x(24 downto 0) & x(31 downto 25)); end e1; function s0(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 29) := x(6 downto 4) xor x(17 downto 15); y(28 downto 0) := (x(3 downto 0) & x(31 downto 7)) xor (x(14 downto 0) & x(31 downto 18)) xor x(31 downto 3); return y; end s0; function s1(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 22) := x(16 downto 7) xor x(18 downto 9); y(21 downto 0) := (x(6 downto 0) & x(31 downto 17)) xor (x(8 downto 0) & x(31 downto 19)) xor x(31 downto 10); return y; end s1; function ch(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (not(x) and z); end ch; function maj(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (x and z) xor (y and z); end maj; type msg_array is array(0 to 63) of msg; type word_array is array(0 to 63) of word; type hash_array is array(0 to 7) of word; constant k : word_array := ( X"428a2f98", X"71374491", X"b5c0fbcf", X"e9b5dba5", X"3956c25b", X"59f111f1", X"923f82a4", X"ab1c5ed5", X"d807aa98", X"12835b01", X"243185be", X"550c7dc3", X"72be5d74", X"80deb1fe", X"9bdc06a7", X"c19bf174", X"e49b69c1", X"efbe4786", X"0fc19dc6", X"240ca1cc", X"2de92c6f", X"4a7484aa", X"5cb0a9dc", X"76f988da", X"983e5152", X"a831c66d", X"b00327c8", X"bf597fc7", X"c6e00bf3", X"d5a79147", X"06ca6351", X"14292967", X"27b70a85", X"2e1b2138", X"4d2c6dfc", X"53380d13", X"650a7354", X"766a0abb", X"81c2c92e", X"92722c85", X"a2bfe8a1", X"a81a664b", X"c24b8b70", X"c76c51a3", X"d192e819", X"d6990624", X"f40e3585", X"106aa070", X"19a4c116", X"1e376c08", X"2748774c", X"34b0bcb5", X"391c0cb3", X"4ed8aa4a", X"5b9cca4f", X"682e6ff3", X"748f82ee", X"78a5636f", X"84c87814", X"8cc70208", X"90befffa", X"a4506ceb", X"bef9a3f7", X"c67178f2" ); constant h_default : hash_array := ( X"6a09e667", X"bb67ae85", X"3c6ef372", X"a54ff53a", X"510e527f", X"9b05688c", X"1f83d9ab", X"5be0cd19" ); signal w : msg_array; signal new_w : word_array; signal t1 : word_array; signal t2 : word_array; signal a : word_array; signal b : word_array; signal c : word_array; signal d : word_array; signal e : word_array; signal f : word_array; signal g : word_array; signal h : word_array; signal hkw_precalc : word_array; signal hash : hash_array; signal h_init : hash_array; signal q_w : msg_array; signal q_a : word_array; signal q_b : word_array; signal q_c : word_array; signal q_d : word_array; signal q_e : word_array; signal q_f : word_array; signal q_g : word_array; signal q_h : word_array; signal q_hkw_precalc : word_array; signal q_hash : hash_array; signal q_msg : msg; begin output_mapping: for i in 0 to 7 generate --digest((i+1)*32-1 downto i*32) <= slv(q_hash(7-i)); digest((i+1)*32-1 downto i*32) <= slv(q_hash(i)); end generate output_mapping; default_h_gen: if default_h = true generate h_init <= h_default; end generate default_h_gen; h_gen: if default_h = false generate h_array_gen: for i in 0 to 7 generate h_init(i) <= unsigned(h_in((i+1)*32-1 downto i*32)); end generate h_array_gen; end generate h_gen; hkw_precalc(0) <= h_init(7) + k(0) + unsigned(msg_in(31 downto 0)); hash_pipeline: for i in 0 to 63 generate first_stage: if i = 0 generate t1_no_precalc_gen: if default_h = true generate -- no point precalculating when constants are used, so save a clock cycle t1(i) <= h_init(7) + e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + k(i) + w(i)(31 downto 0); w(i) <= unsigned(msg_in); end generate t1_no_precalc_gen; t1_precalc_gen: if default_h = false generate t1(i) <= e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + q_hkw_precalc(i); w(i) <= q_msg; end generate t1_precalc_gen; t2(i) <= e0(h_init(0)) + maj(h_init(0), h_init(1), h_init(2)); a(i) <= t1(i) + t2(i); b(i) <= h_init(0); c(i) <= h_init(1); d(i) <= h_init(2); e(i) <= h_init(3) + t1(i); f(i) <= h_init(4); g(i) <= h_init(5); h(i) <= h_init(6); hkw_precalc(i+1) <= h_init(6) + k(i+1) + w(i)(63 downto 32); end generate first_stage; other_stages: if i /= 0 generate t1(i) <= e1(q_e(i-1)) + ch(q_e(i-1), q_f(i-1), q_g(i-1)) + q_hkw_precalc(i); t2(i) <= e0(q_a(i-1)) + maj(q_a(i-1), q_b(i-1), q_c(i-1)); new_w(i) <= s1(q_w(i-1)(479 downto 448)) + q_w(i-1)(319 downto 288) + s0(q_w(i-1)(63 downto 32)) + q_w(i-1)(31 downto 0); w(i) <= new_w(i) & q_w(i-1)(511 downto 32); a(i) <= t1(i) + t2(i); b(i) <= q_a(i-1); c(i) <= q_b(i-1); d(i) <= q_c(i-1); e(i) <= q_d(i-1) + t1(i); f(i) <= q_e(i-1); g(i) <= q_f(i-1); h(i) <= q_g(i-1); precalc: if i /= 63 generate hkw_precalc(i+1) <= q_g(i-1) + k(i+1) + w(i)(63 downto 32); end generate precalc; end generate other_stages; end generate hash_pipeline; hash(0) <= q_a(63) + h_init(0); hash(1) <= q_b(63) + h_init(1); hash(2) <= q_c(63) + h_init(2); hash(3) <= q_d(63) + h_init(3); hash(4) <= q_e(63) + h_init(4); hash(5) <= q_f(63) + h_init(5); hash(6) <= q_g(63) + h_init(6); hash(7) <= q_h(63) + h_init(7); registers : process(clk, reset) is begin if reset = '1' then null; elsif rising_edge(clk) then q_msg <= unsigned(msg_in); q_w <= w; q_a <= a; q_b <= b; q_c <= c; q_d <= d; q_e <= e; q_f <= f; q_g <= g; q_h <= h; q_hkw_precalc <= hkw_precalc; q_hash <= hash; end if; end process registers; end architecture sha256_pc_rtl;
-- -- Copyright (c) 2011 OrphanedGland (wilhelm.klink@gmail.com) -- Send donations to : 1PioyqqFWXbKryxysGqoq5XAu9MTRANCEP -- -- This program is free software: you can redistribute it and/or modify -- it under the terms of the GNU General Public License as published by -- the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- This program is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program. If not, see <http://www.gnu.org/licenses/>. -- -- SHA256 core using H+K+W precalculation technique -- Inspired by fpgaminer's sha256_transform.v library ieee; use ieee.std_logic_1164.all; use ieee.numeric_std.all; entity sha256_pc is generic ( default_h : boolean := true ); port ( clk : in std_logic; reset : in std_logic; msg_in : in std_logic_vector(511 downto 0); h_in : in std_logic_vector(255 downto 0) := (others => '0'); digest : out std_logic_vector(255 downto 0) ); end entity sha256_pc; architecture sha256_pc_rtl of sha256_pc is alias slv is std_logic_vector; subtype msg is unsigned(511 downto 0); subtype word is unsigned(31 downto 0); function e0(x: unsigned(31 downto 0)) return unsigned is begin return (x(1 downto 0) & x(31 downto 2)) xor (x(12 downto 0) & x(31 downto 13)) xor (x(21 downto 0) & x(31 downto 22)); end e0; function e1(x: unsigned(31 downto 0)) return unsigned is begin return (x(5 downto 0) & x(31 downto 6)) xor (x(10 downto 0) & x(31 downto 11)) xor (x(24 downto 0) & x(31 downto 25)); end e1; function s0(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 29) := x(6 downto 4) xor x(17 downto 15); y(28 downto 0) := (x(3 downto 0) & x(31 downto 7)) xor (x(14 downto 0) & x(31 downto 18)) xor x(31 downto 3); return y; end s0; function s1(x: unsigned(31 downto 0)) return unsigned is variable y : unsigned(31 downto 0); begin y(31 downto 22) := x(16 downto 7) xor x(18 downto 9); y(21 downto 0) := (x(6 downto 0) & x(31 downto 17)) xor (x(8 downto 0) & x(31 downto 19)) xor x(31 downto 10); return y; end s1; function ch(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (not(x) and z); end ch; function maj(x: unsigned(31 downto 0); y: unsigned(31 downto 0); z: unsigned(31 downto 0)) return unsigned is begin return (x and y) xor (x and z) xor (y and z); end maj; type msg_array is array(0 to 63) of msg; type word_array is array(0 to 63) of word; type hash_array is array(0 to 7) of word; constant k : word_array := ( X"428a2f98", X"71374491", X"b5c0fbcf", X"e9b5dba5", X"3956c25b", X"59f111f1", X"923f82a4", X"ab1c5ed5", X"d807aa98", X"12835b01", X"243185be", X"550c7dc3", X"72be5d74", X"80deb1fe", X"9bdc06a7", X"c19bf174", X"e49b69c1", X"efbe4786", X"0fc19dc6", X"240ca1cc", X"2de92c6f", X"4a7484aa", X"5cb0a9dc", X"76f988da", X"983e5152", X"a831c66d", X"b00327c8", X"bf597fc7", X"c6e00bf3", X"d5a79147", X"06ca6351", X"14292967", X"27b70a85", X"2e1b2138", X"4d2c6dfc", X"53380d13", X"650a7354", X"766a0abb", X"81c2c92e", X"92722c85", X"a2bfe8a1", X"a81a664b", X"c24b8b70", X"c76c51a3", X"d192e819", X"d6990624", X"f40e3585", X"106aa070", X"19a4c116", X"1e376c08", X"2748774c", X"34b0bcb5", X"391c0cb3", X"4ed8aa4a", X"5b9cca4f", X"682e6ff3", X"748f82ee", X"78a5636f", X"84c87814", X"8cc70208", X"90befffa", X"a4506ceb", X"bef9a3f7", X"c67178f2" ); constant h_default : hash_array := ( X"6a09e667", X"bb67ae85", X"3c6ef372", X"a54ff53a", X"510e527f", X"9b05688c", X"1f83d9ab", X"5be0cd19" ); signal w : msg_array; signal new_w : word_array; signal t1 : word_array; signal t2 : word_array; signal a : word_array; signal b : word_array; signal c : word_array; signal d : word_array; signal e : word_array; signal f : word_array; signal g : word_array; signal h : word_array; signal hkw_precalc : word_array; signal hash : hash_array; signal h_init : hash_array; signal q_w : msg_array; signal q_a : word_array; signal q_b : word_array; signal q_c : word_array; signal q_d : word_array; signal q_e : word_array; signal q_f : word_array; signal q_g : word_array; signal q_h : word_array; signal q_hkw_precalc : word_array; signal q_hash : hash_array; signal q_msg : msg; begin output_mapping: for i in 0 to 7 generate --digest((i+1)*32-1 downto i*32) <= slv(q_hash(7-i)); digest((i+1)*32-1 downto i*32) <= slv(q_hash(i)); end generate output_mapping; default_h_gen: if default_h = true generate h_init <= h_default; end generate default_h_gen; h_gen: if default_h = false generate h_array_gen: for i in 0 to 7 generate h_init(i) <= unsigned(h_in((i+1)*32-1 downto i*32)); end generate h_array_gen; end generate h_gen; hkw_precalc(0) <= h_init(7) + k(0) + unsigned(msg_in(31 downto 0)); hash_pipeline: for i in 0 to 63 generate first_stage: if i = 0 generate t1_no_precalc_gen: if default_h = true generate -- no point precalculating when constants are used, so save a clock cycle t1(i) <= h_init(7) + e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + k(i) + w(i)(31 downto 0); w(i) <= unsigned(msg_in); end generate t1_no_precalc_gen; t1_precalc_gen: if default_h = false generate t1(i) <= e1(h_init(4)) + ch(h_init(4), h_init(5), h_init(6)) + q_hkw_precalc(i); w(i) <= q_msg; end generate t1_precalc_gen; t2(i) <= e0(h_init(0)) + maj(h_init(0), h_init(1), h_init(2)); a(i) <= t1(i) + t2(i); b(i) <= h_init(0); c(i) <= h_init(1); d(i) <= h_init(2); e(i) <= h_init(3) + t1(i); f(i) <= h_init(4); g(i) <= h_init(5); h(i) <= h_init(6); hkw_precalc(i+1) <= h_init(6) + k(i+1) + w(i)(63 downto 32); end generate first_stage; other_stages: if i /= 0 generate t1(i) <= e1(q_e(i-1)) + ch(q_e(i-1), q_f(i-1), q_g(i-1)) + q_hkw_precalc(i); t2(i) <= e0(q_a(i-1)) + maj(q_a(i-1), q_b(i-1), q_c(i-1)); new_w(i) <= s1(q_w(i-1)(479 downto 448)) + q_w(i-1)(319 downto 288) + s0(q_w(i-1)(63 downto 32)) + q_w(i-1)(31 downto 0); w(i) <= new_w(i) & q_w(i-1)(511 downto 32); a(i) <= t1(i) + t2(i); b(i) <= q_a(i-1); c(i) <= q_b(i-1); d(i) <= q_c(i-1); e(i) <= q_d(i-1) + t1(i); f(i) <= q_e(i-1); g(i) <= q_f(i-1); h(i) <= q_g(i-1); precalc: if i /= 63 generate hkw_precalc(i+1) <= q_g(i-1) + k(i+1) + w(i)(63 downto 32); end generate precalc; end generate other_stages; end generate hash_pipeline; hash(0) <= q_a(63) + h_init(0); hash(1) <= q_b(63) + h_init(1); hash(2) <= q_c(63) + h_init(2); hash(3) <= q_d(63) + h_init(3); hash(4) <= q_e(63) + h_init(4); hash(5) <= q_f(63) + h_init(5); hash(6) <= q_g(63) + h_init(6); hash(7) <= q_h(63) + h_init(7); registers : process(clk, reset) is begin if reset = '1' then null; elsif rising_edge(clk) then q_msg <= unsigned(msg_in); q_w <= w; q_a <= a; q_b <= b; q_c <= c; q_d <= d; q_e <= e; q_f <= f; q_g <= g; q_h <= h; q_hkw_precalc <= hkw_precalc; q_hash <= hash; end if; end process registers; end architecture sha256_pc_rtl;
---------------------------------------------------------------------------------- -- Company: Federal University of Santa Catarina -- Engineer: -- -- Create Date: -- Design Name: -- Module Name: -- Project Name: -- Target Devices: -- Tool versions: -- Description: -- -- Dependencies: -- -- Revision: -- Revision 0.01 - File Created -- Additional Comments: -- ---------------------------------------------------------------------------------- library IEEE; use ieee.std_logic_1164.all; entity mipsMulticiclo is port( clock, reset: in std_logic; gpio: inout std_logic_vector(31 downto 0) ); end entity; architecture estrutural of mipsMulticiclo is component blocoOperativo is port( clock, reset: in std_logic; PCEscCond, PCEsc, IouD, LerMem, EscMem, MemParaReg, IREsc, RegDst, EscReg, ULAFonteA: in std_logic; ULAFonteB, ULAOp, FontePC: in std_logic_vector(1 downto 0); opcode: out std_logic_vector(5 downto 0) ); end component; component blocoControle is port( clock, reset: in std_logic; PCEscCond, PCEsc, IouD, LerMem, EscMem, MemParaReg, IREsc, RegDst, EscReg, ULAFonteA: out std_logic; ULAFonteB, ULAOp, FontePC: out std_logic_vector(1 downto 0); opcode: in std_logic_vector(5 downto 0) ); end component; signal PCEscCond, PCEsc, IouD, LerMem, EscMem, MemParaReg, IREsc, RegDst, EscReg, ULAFonteA: std_logic; signal ULAFonteB, ULAOp, FontePC: std_logic_vector(1 downto 0); signal opcode: std_logic_vector(5 downto 0); begin controle: blocoControle port map (clock, reset, PCEscCond, PCEsc, IouD, LerMem, EscMem, MemParaReg, IREsc, RegDst, EscReg, ULAFonteA, ULAFonteB, ULAOp, FONtePC, opcode); operativo: blocoOperativo port map (clock, reset, PCEscCond, PCEsc, IouD, LerMem, EscMem, MemParaReg, IREsc, RegDst, EscReg, ULAFonteA, ULAFonteB, ULAOp, FONtePC, opcode); end architecture;
-- ----------------------------------------------------------------------- -- -- Syntiac VHDL support files. -- -- ----------------------------------------------------------------------- -- Copyright 2005-2020 by Peter Wendrich (pwsoft@syntiac.com) -- http://www.syntiac.com -- -- This source file is free software: you can redistribute it and/or modify -- it under the terms of the GNU Lesser General Public License as published -- by the Free Software Foundation, either version 3 of the License, or -- (at your option) any later version. -- -- This source file is distributed in the hope that it will be useful, -- but WITHOUT ANY WARRANTY; without even the implied warranty of -- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -- GNU General Public License for more details. -- -- You should have received a copy of the GNU General Public License -- along with this program. If not, see <http://www.gnu.org/licenses/>. -- -- ----------------------------------------------------------------------- -- 8-bit binary counter with output register; 3-state -- ----------------------------------------------------------------------- library IEEE; use IEEE.STD_LOGIC_1164.ALL; use IEEE.numeric_std.ALL; use work.ttl_pkg.all; -- ----------------------------------------------------------------------- entity ttl_74590 is generic ( latency : integer := 3 ); port ( emuclk : in std_logic; p1 : out ttl_t; -- Q1 p2 : out ttl_t; -- Q2 p3 : out ttl_t; -- Q3 p4 : out ttl_t; -- Q4 p5 : out ttl_t; -- Q5 p6 : out ttl_t; -- Q6 p7 : out ttl_t; -- Q7 p9 : out ttl_t; -- RCOn p10 : in ttl_t; -- MRCn (counter reset) p11 : in ttl_t; -- CPC (counter clock) p12 : in ttl_t; -- CEn (clock enable of CPC) p13 : in ttl_t; -- CPR (output register clock) p14 : in ttl_t; -- OEn p15 : out ttl_t -- Q0 ); end entity; architecture rtl of ttl_74590 is signal cpc_ena : std_logic; signal cpr_ena : std_logic; signal p1_loc : ttl_t; signal p2_loc : ttl_t; signal p3_loc : ttl_t; signal p4_loc : ttl_t; signal p5_loc : ttl_t; signal p6_loc : ttl_t; signal p7_loc : ttl_t; signal p9_loc : ttl_t; signal p15_loc : ttl_t; signal counter_reg : unsigned(7 downto 0) := (others => '0'); signal output_reg : unsigned(7 downto 0) := (others => '0'); begin cpc_edge_inst : entity work.ttl_edge port map (emuclk => emuclk, edge => '1', d => p11, ena => cpc_ena); cpr_edge_inst : entity work.ttl_edge port map (emuclk=> emuclk, edge => '1', d => p13, ena => cpr_ena); p1_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p1_loc, q => p1); p2_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p2_loc, q => p2); p3_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p3_loc, q => p3); p4_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p4_loc, q => p4); p5_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p5_loc, q => p5); p6_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p6_loc, q => p6); p7_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p7_loc, q => p7); p9_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p9_loc, q => p9); p15_latency_inst : entity work.ttl_latency generic map (latency => latency) port map (clk => emuclk, d => p15_loc, q => p15); p1_loc <= std2ttl(output_reg(1)); p2_loc <= std2ttl(output_reg(2)); p3_loc <= std2ttl(output_reg(3)); p4_loc <= std2ttl(output_reg(4)); p5_loc <= std2ttl(output_reg(5)); p6_loc <= std2ttl(output_reg(6)); p7_loc <= std2ttl(output_reg(7)); p9_loc <= ZERO when counter_reg = X"FF" else ONE; p15_loc <= std2ttl(output_reg(0)); process(emuclk) begin if rising_edge(emuclk) then if (cpc_ena = '1') and is_low(p12) then counter_reg <= counter_reg + 1; end if; if cpr_ena = '1' then output_reg <= counter_reg; end if; if is_low(p10) then -- Asynchronous reset, clears counter but not the output register counter_reg <= (others => '0'); end if; end if; end process; end architecture;