Line 1... |
Line 1... |
-- #################################################################################################
|
-- #################################################################################################
|
-- # << NEORV32 - CPU Co-Processor: Integer Multiplier/Divider Unit (RISC-V "M" Extension)>> #
|
-- # << NEORV32 - CPU Co-Processor: Integer Multiplier/Divider Unit (RISC-V "M" Extension)>> #
|
-- # ********************************************************************************************* #
|
-- # ********************************************************************************************* #
|
-- # Multiplier and Divider unit. Implements the RISC-V RV32-M CPU extension. #
|
-- # Multiplier and Divider unit. Implements the RISC-V M CPU extension. #
|
-- # Multiplier core (signed/unsigned) uses serial algorithm. -> 32+4 cycles latency #
|
-- # #
|
-- # Divider core (unsigned) uses serial algorithm. -> 32+6 cycles latency #
|
-- # Multiplier core (signed/unsigned) uses classical serial algorithm. Unit atency: 31+3 cycles #
|
-- # Multiplications can be mapped to DSP block when FAST_MUL_EN = true. #
|
-- # Divider core (unsigned) uses classical serial algorithm. Unit latency: 32+4 cycles #
|
|
-- # #
|
|
-- # Multiplications can be mapped to DSP blocks (faster!) when FAST_MUL_EN = true. #
|
|
-- # Unit latency: 3 cycles #
|
-- # ********************************************************************************************* #
|
-- # ********************************************************************************************* #
|
-- # BSD 3-Clause License #
|
-- # BSD 3-Clause License #
|
-- # #
|
-- # #
|
-- # Copyright (c) 2021, Stephan Nolting. All rights reserved. #
|
-- # Copyright (c) 2021, Stephan Nolting. All rights reserved. #
|
-- # #
|
-- # #
|
Line 63... |
Line 66... |
);
|
);
|
end neorv32_cpu_cp_muldiv;
|
end neorv32_cpu_cp_muldiv;
|
|
|
architecture neorv32_cpu_cp_muldiv_rtl of neorv32_cpu_cp_muldiv is
|
architecture neorv32_cpu_cp_muldiv_rtl of neorv32_cpu_cp_muldiv is
|
|
|
-- advanced configuration --
|
|
constant dsp_add_reg_stage_c : boolean := false; -- add another register stage to DSP-based multiplication for timing-closure
|
|
|
|
-- operations --
|
-- operations --
|
constant cp_op_mul_c : std_ulogic_vector(2 downto 0) := "000"; -- mul
|
constant cp_op_mul_c : std_ulogic_vector(2 downto 0) := "000"; -- mul
|
constant cp_op_mulh_c : std_ulogic_vector(2 downto 0) := "001"; -- mulh
|
constant cp_op_mulh_c : std_ulogic_vector(2 downto 0) := "001"; -- mulh
|
constant cp_op_mulhsu_c : std_ulogic_vector(2 downto 0) := "010"; -- mulhsu
|
constant cp_op_mulhsu_c : std_ulogic_vector(2 downto 0) := "010"; -- mulhsu
|
constant cp_op_mulhu_c : std_ulogic_vector(2 downto 0) := "011"; -- mulhu
|
constant cp_op_mulhu_c : std_ulogic_vector(2 downto 0) := "011"; -- mulhu
|
Line 77... |
Line 77... |
constant cp_op_divu_c : std_ulogic_vector(2 downto 0) := "101"; -- divu
|
constant cp_op_divu_c : std_ulogic_vector(2 downto 0) := "101"; -- divu
|
constant cp_op_rem_c : std_ulogic_vector(2 downto 0) := "110"; -- rem
|
constant cp_op_rem_c : std_ulogic_vector(2 downto 0) := "110"; -- rem
|
constant cp_op_remu_c : std_ulogic_vector(2 downto 0) := "111"; -- remu
|
constant cp_op_remu_c : std_ulogic_vector(2 downto 0) := "111"; -- remu
|
|
|
-- controller --
|
-- controller --
|
type state_t is (IDLE, DECODE, INIT_OPX, INIT_OPY, PROCESSING, FINALIZE, COMPLETED, FAST_MUL);
|
type state_t is (IDLE, DIV_PREPROCESS, PROCESSING, FINALIZE, COMPLETED);
|
signal state : state_t;
|
signal state : state_t;
|
signal cnt : std_ulogic_vector(4 downto 0);
|
signal cnt : std_ulogic_vector(4 downto 0);
|
signal cp_op : std_ulogic_vector(2 downto 0); -- operation to execute
|
signal cp_op : std_ulogic_vector(2 downto 0); -- operation to execute
|
signal cp_op_ff : std_ulogic_vector(2 downto 0); -- operation that was executed
|
signal cp_op_ff : std_ulogic_vector(2 downto 0); -- operation that was executed
|
signal start : std_ulogic;
|
signal start_div : std_ulogic;
|
|
signal start_mul : std_ulogic;
|
signal operation : std_ulogic;
|
signal operation : std_ulogic;
|
signal rs1, opx, opy : std_ulogic_vector(data_width_c-1 downto 0); -- input operands
|
signal div_opx : std_ulogic_vector(data_width_c-1 downto 0);
|
signal opx_is_signed : std_ulogic;
|
signal div_opy : std_ulogic_vector(data_width_c-1 downto 0);
|
signal opy_is_signed : std_ulogic;
|
signal rs1_is_signed : std_ulogic;
|
|
signal rs2_is_signed : std_ulogic;
|
signal opy_is_zero : std_ulogic;
|
signal opy_is_zero : std_ulogic;
|
signal div_res_corr : std_ulogic;
|
signal div_res_corr : std_ulogic;
|
signal valid : std_ulogic;
|
signal valid : std_ulogic;
|
|
|
-- divider core --
|
-- divider core --
|
Line 100... |
Line 102... |
signal div_sign_comp_in : std_ulogic_vector(data_width_c-1 downto 0);
|
signal div_sign_comp_in : std_ulogic_vector(data_width_c-1 downto 0);
|
signal div_sign_comp : std_ulogic_vector(data_width_c-1 downto 0);
|
signal div_sign_comp : std_ulogic_vector(data_width_c-1 downto 0);
|
signal div_res : std_ulogic_vector(data_width_c-1 downto 0);
|
signal div_res : std_ulogic_vector(data_width_c-1 downto 0);
|
|
|
-- multiplier core --
|
-- multiplier core --
|
|
signal mul_product_p : std_ulogic_vector(63 downto 0);
|
|
signal mul_product_s : std_ulogic_vector(63 downto 0);
|
signal mul_product : std_ulogic_vector(63 downto 0);
|
signal mul_product : std_ulogic_vector(63 downto 0);
|
signal mul_do_add : std_ulogic_vector(data_width_c downto 0);
|
signal mul_do_add : std_ulogic_vector(data_width_c downto 0);
|
signal mul_sign_cycle : std_ulogic;
|
signal mul_sign_cycle : std_ulogic;
|
signal mul_p_sext : std_ulogic;
|
signal mul_p_sext : std_ulogic;
|
signal mul_op_x : signed(32 downto 0); -- for using DSPs
|
signal mul_op_x : signed(32 downto 0); -- for using DSPs
|
signal mul_op_y : signed(32 downto 0); -- for using DSPs
|
signal mul_op_y : signed(32 downto 0); -- for using DSPs
|
signal mul_buf_ff : signed(65 downto 0); -- for using DSPs
|
signal mul_buf_ff : signed(65 downto 0); -- for using DSPs
|
signal mul_buf2_ff : signed(65 downto 0); -- for using DSPs
|
|
|
|
begin
|
begin
|
|
|
-- Co-Processor Controller ----------------------------------------------------------------
|
-- Co-Processor Controller ----------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
coprocessor_ctrl: process(rstn_i, clk_i)
|
coprocessor_ctrl: process(rstn_i, clk_i)
|
begin
|
begin
|
if (rstn_i = '0') then
|
if (rstn_i = '0') then
|
state <= IDLE;
|
state <= IDLE;
|
opx <= (others => '0');
|
div_opx <= (others => def_rst_val_c);
|
opy <= (others => '0');
|
div_opy <= (others => def_rst_val_c);
|
rs1 <= (others => '0');
|
cnt <= (others => def_rst_val_c);
|
cnt <= (others => '0');
|
cp_op_ff <= (others => def_rst_val_c);
|
start <= '0';
|
start_div <= '0';
|
valid <= '0';
|
valid <= '0';
|
div_res_corr <= '0';
|
div_res_corr <= def_rst_val_c;
|
opy_is_zero <= '0';
|
opy_is_zero <= def_rst_val_c;
|
cp_op_ff <= (others => '0');
|
|
elsif rising_edge(clk_i) then
|
elsif rising_edge(clk_i) then
|
-- defaults --
|
-- defaults --
|
start <= '0';
|
start_div <= '0';
|
valid <= '0';
|
valid <= '0';
|
cp_op_ff <= cp_op;
|
|
|
|
-- FSM --
|
-- FSM --
|
case state is
|
case state is
|
when IDLE =>
|
when IDLE =>
|
|
cp_op_ff <= cp_op;
|
if (start_i = '1') then
|
if (start_i = '1') then
|
opx <= rs1_i;
|
if (operation = '1') then -- division
|
rs1 <= rs1_i;
|
cnt <= "11111";
|
opy <= rs2_i;
|
state <= DIV_PREPROCESS;
|
state <= DECODE;
|
else
|
|
cnt <= "11110";
|
|
if (FAST_MUL_EN = true) then
|
|
state <= FINALIZE;
|
|
else
|
|
state <= PROCESSING;
|
|
end if;
|
|
end if;
|
end if;
|
end if;
|
|
|
when DECODE =>
|
when DIV_PREPROCESS =>
|
--
|
-- check rlevatn input signs --
|
if (cp_op = cp_op_div_c) then -- result sign compensation for div?
|
if (cp_op = cp_op_div_c) then -- result sign compensation for div?
|
div_res_corr <= opx(opx'left) xor opy(opy'left);
|
div_res_corr <= rs1_i(rs1_i'left) xor rs2_i(rs2_i'left);
|
elsif (cp_op = cp_op_rem_c) then -- result sign compensation for rem?
|
elsif (cp_op = cp_op_rem_c) then -- result sign compensation for rem?
|
div_res_corr <= opx(opx'left);
|
div_res_corr <= rs1_i(rs1_i'left);
|
else
|
else
|
div_res_corr <= '0';
|
div_res_corr <= '0';
|
end if;
|
end if;
|
--
|
-- divide by zero? --
|
if (or_all_f(opy) = '0') then -- *divide* by 0?
|
opy_is_zero <= not or_all_f(rs2_i); -- set if rs2 = 0
|
opy_is_zero <= '1';
|
-- abs(rs1) --
|
|
if ((rs1_i(rs1_i'left) and rs1_is_signed) = '1') then -- signed division?
|
|
div_opx <= std_ulogic_vector(0 - unsigned(rs1_i)); -- make positive
|
else
|
else
|
opy_is_zero <= '0';
|
div_opx <= rs1_i;
|
end if;
|
end if;
|
--
|
-- abs(rs2) --
|
cnt <= "11111";
|
if ((rs2_i(rs2_i'left) and rs2_is_signed) = '1') then -- signed division?
|
if (operation = '1') then -- division
|
div_opy <= std_ulogic_vector(0 - unsigned(rs2_i)); -- make positive
|
state <= INIT_OPX;
|
|
else -- multiplication
|
|
start <= '1';
|
|
if (FAST_MUL_EN = true) then
|
|
state <= FAST_MUL;
|
|
else
|
else
|
state <= PROCESSING;
|
div_opy <= rs2_i;
|
end if;
|
|
end if;
|
|
|
|
when INIT_OPX =>
|
|
if ((opx(opx'left) and opx_is_signed) = '1') then -- signed division?
|
|
opx <= div_sign_comp; -- make positive
|
|
end if;
|
|
state <= INIT_OPY;
|
|
|
|
when INIT_OPY =>
|
|
start <= '1';
|
|
if ((opy(opy'left) and opy_is_signed) = '1') then -- signed division?
|
|
opy <= div_sign_comp; -- make positive
|
|
end if;
|
end if;
|
|
--
|
|
start_div <= '1';
|
state <= PROCESSING;
|
state <= PROCESSING;
|
|
|
when PROCESSING =>
|
when PROCESSING =>
|
cnt <= std_ulogic_vector(unsigned(cnt) - 1);
|
cnt <= std_ulogic_vector(unsigned(cnt) - 1);
|
if (cnt = "00000") then
|
if (cnt = "00000") then
|
state <= FINALIZE;
|
state <= FINALIZE;
|
end if;
|
end if;
|
|
|
when FAST_MUL =>
|
|
state <= FINALIZE;
|
|
|
|
when FINALIZE =>
|
when FINALIZE =>
|
state <= COMPLETED;
|
state <= COMPLETED;
|
|
|
when COMPLETED =>
|
when COMPLETED =>
|
valid <= '1';
|
valid <= '1';
|
Line 205... |
Line 197... |
end process coprocessor_ctrl;
|
end process coprocessor_ctrl;
|
|
|
-- co-processor command --
|
-- co-processor command --
|
cp_op <= ctrl_i(ctrl_ir_funct3_2_c downto ctrl_ir_funct3_0_c);
|
cp_op <= ctrl_i(ctrl_ir_funct3_2_c downto ctrl_ir_funct3_0_c);
|
|
|
-- operation --
|
-- operation: 0=mul, 1=div --
|
operation <= '1' when (cp_op = cp_op_div_c) or (cp_op = cp_op_divu_c) or (cp_op = cp_op_rem_c) or (cp_op = cp_op_remu_c) else '0';
|
operation <= '1' when (cp_op(2) = '1') else '0';
|
|
|
-- opx (rs1) signed? --
|
-- opx (rs1) signed? --
|
opx_is_signed <= '1' when (cp_op = cp_op_mulh_c) or (cp_op = cp_op_mulhsu_c) or (cp_op = cp_op_div_c) or (cp_op = cp_op_rem_c) else '0';
|
rs1_is_signed <= '1' when (cp_op = cp_op_mulh_c) or (cp_op = cp_op_mulhsu_c) or (cp_op = cp_op_div_c) or (cp_op = cp_op_rem_c) else '0';
|
|
|
-- opy (rs2) signed? --
|
-- opy (rs2) signed? --
|
opy_is_signed <= '1' when (cp_op = cp_op_mulh_c) or (cp_op = cp_op_div_c) or (cp_op = cp_op_rem_c) else '0';
|
rs2_is_signed <= '1' when (cp_op = cp_op_mulh_c) or (cp_op = cp_op_div_c) or (cp_op = cp_op_rem_c) else '0';
|
|
|
|
-- start MUL operation (do it fast!) --
|
|
start_mul <= '1' when (state = IDLE) and (start_i = '1') and (operation = '0') else '0';
|
|
|
|
|
-- Multiplier Core (signed/unsigned) ------------------------------------------------------
|
-- Multiplier Core (signed/unsigned) ------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
multiplier_core: process(clk_i)
|
multiplier_core_serial: process(rstn_i, clk_i)
|
begin
|
begin
|
if rising_edge(clk_i) then
|
if (rstn_i = '0') then
|
-- ---------------------------------------------------------
|
mul_product_s <= (others => def_rst_val_c);
|
|
elsif rising_edge(clk_i) then
|
if (FAST_MUL_EN = false) then -- use small iterative computation
|
if (FAST_MUL_EN = false) then -- use small iterative computation
|
if (start = '1') then -- start new multiplication
|
if (start_mul = '1') then -- start new multiplication
|
mul_product(63 downto 32) <= (others => '0');
|
mul_product_s(63 downto 32) <= (others => '0');
|
mul_product(31 downto 00) <= opy;
|
mul_product_s(31 downto 00) <= rs2_i;
|
elsif ((state = PROCESSING) or (state = FINALIZE)) and (operation = '0') then
|
elsif (state = PROCESSING) or (state = FINALIZE) then -- processing step or sign-finalization step
|
mul_product(63 downto 31) <= mul_do_add(32 downto 0);
|
mul_product_s(63 downto 31) <= mul_do_add(32 downto 0);
|
mul_product(30 downto 00) <= mul_product(31 downto 1);
|
mul_product_s(30 downto 00) <= mul_product_s(31 downto 1);
|
end if;
|
|
-- ---------------------------------------------------------
|
|
else -- use direct approach using (several!) DSP blocks
|
|
if (start = '1') then
|
|
mul_op_x <= signed((opx(opx'left) and opx_is_signed) & opx);
|
|
mul_op_y <= signed((opy(opy'left) and opy_is_signed) & opy);
|
|
end if;
|
end if;
|
mul_buf_ff <= mul_op_x * mul_op_y;
|
|
if (dsp_add_reg_stage_c = true) then -- add another reg stage?
|
|
mul_buf2_ff <= mul_buf_ff;
|
|
mul_product <= std_ulogic_vector(mul_buf2_ff(63 downto 0)); -- let the register balancing do the magic here
|
|
else
|
|
mul_product <= std_ulogic_vector(mul_buf_ff(63 downto 0)); -- let the register balancing do the magic here
|
|
end if;
|
end if;
|
end if;
|
end if;
|
|
end process multiplier_core_serial;
|
|
|
|
multiplier_core_dsp: process(clk_i)
|
|
begin
|
|
if rising_edge(clk_i) then
|
|
if (FAST_MUL_EN = true) then -- use direct approach using DSP blocks
|
|
if (start_mul = '1') then
|
|
mul_op_x <= signed((rs1_i(rs1_i'left) and rs1_is_signed) & rs1_i);
|
|
mul_op_y <= signed((rs2_i(rs2_i'left) and rs2_is_signed) & rs2_i);
|
|
end if;
|
|
mul_buf_ff <= mul_op_x * mul_op_y;
|
|
mul_product_p <= std_ulogic_vector(mul_buf_ff(63 downto 0)); -- let the register balancing do the magic here
|
|
end if;
|
end if;
|
end if;
|
end process multiplier_core;
|
end process multiplier_core_dsp;
|
|
|
|
mul_product <= mul_product_p when (FAST_MUL_EN = true) else mul_product_s;
|
|
|
-- MUL: do another addition --
|
-- do another addition --
|
mul_update: process(mul_product, mul_sign_cycle, mul_p_sext, opx_is_signed, opx)
|
mul_update: process(mul_product, mul_sign_cycle, mul_p_sext, rs1_is_signed, rs1_i)
|
begin
|
begin
|
-- current bit of opy to take care of --
|
-- current bit of rs2_i to take care of --
|
if (mul_product(0) = '1') then -- multiply with 1
|
if (mul_product(0) = '1') then -- multiply with 1
|
if (mul_sign_cycle = '1') then -- for signed operations only: take care of negative weighted MSB -> multiply with -1
|
if (mul_sign_cycle = '1') then -- for signed operations only: take care of negative weighted MSB -> multiply with -1
|
mul_do_add <= std_ulogic_vector(unsigned(mul_p_sext & mul_product(63 downto 32)) - unsigned((opx(opx'left) and opx_is_signed) & opx));
|
mul_do_add <= std_ulogic_vector(unsigned(mul_p_sext & mul_product(63 downto 32)) - unsigned((rs1_i(rs1_i'left) and rs1_is_signed) & rs1_i));
|
else -- multiply with +1
|
else -- multiply with +1
|
mul_do_add <= std_ulogic_vector(unsigned(mul_p_sext & mul_product(63 downto 32)) + unsigned((opx(opx'left) and opx_is_signed) & opx));
|
mul_do_add <= std_ulogic_vector(unsigned(mul_p_sext & mul_product(63 downto 32)) + unsigned((rs1_i(rs1_i'left) and rs1_is_signed) & rs1_i));
|
end if;
|
end if;
|
else -- multiply with 0
|
else -- multiply with 0
|
mul_do_add <= mul_p_sext & mul_product(63 downto 32);
|
mul_do_add <= mul_p_sext & mul_product(63 downto 32);
|
end if;
|
end if;
|
end process mul_update;
|
end process mul_update;
|
|
|
-- sign control --
|
-- sign control --
|
mul_sign_cycle <= opy_is_signed when (state = FINALIZE) else '0';
|
mul_sign_cycle <= rs2_is_signed when (state = FINALIZE) else '0';
|
mul_p_sext <= mul_product(mul_product'left) and opx_is_signed;
|
mul_p_sext <= mul_product(mul_product'left) and rs1_is_signed;
|
|
|
|
|
-- Divider Core (unsigned) ----------------------------------------------------------------
|
-- Divider Core (unsigned) ----------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
divider_core: process(clk_i)
|
divider_core: process(rstn_i, clk_i)
|
begin
|
begin
|
if rising_edge(clk_i) then
|
if (rstn_i = '0') then
|
if (start = '1') then -- start new division
|
quotient <= (others => def_rst_val_c);
|
quotient <= opx;
|
remainder <= (others => def_rst_val_c);
|
|
elsif rising_edge(clk_i) then
|
|
if (start_div = '1') then -- start new division
|
|
quotient <= div_opx;
|
remainder <= (others => '0');
|
remainder <= (others => '0');
|
elsif ((state = PROCESSING) or (state = FINALIZE)) and (operation = '1') then -- running?
|
elsif (state = PROCESSING) or (state = FINALIZE) then -- running?
|
quotient <= quotient(30 downto 0) & (not div_sub(32));
|
quotient <= quotient(30 downto 0) & (not div_sub(32));
|
if (div_sub(32) = '0') then -- still overflowing
|
if (div_sub(32) = '0') then -- still overflowing
|
remainder <= div_sub(31 downto 0);
|
remainder <= div_sub(31 downto 0);
|
else -- underflow
|
else -- underflow
|
remainder <= remainder(30 downto 0) & quotient(31);
|
remainder <= remainder(30 downto 0) & quotient(31);
|
end if;
|
end if;
|
end if;
|
end if;
|
end if;
|
end if;
|
end process divider_core;
|
end process divider_core;
|
|
|
-- DIV: try another subtraction --
|
-- try another subtraction --
|
div_sub <= std_ulogic_vector(unsigned('0' & remainder(30 downto 0) & quotient(31)) - unsigned('0' & opy));
|
div_sub <= std_ulogic_vector(unsigned('0' & remainder(30 downto 0) & quotient(31)) - unsigned('0' & div_opy));
|
|
|
-- Div sign compensation --
|
-- result sign compensation --
|
div_sign_comp_in <= opx when (state = INIT_OPX) else
|
div_sign_comp_in <= quotient when (cp_op = cp_op_div_c) else remainder;
|
opy when (state = INIT_OPY) else
|
|
quotient when ((cp_op = cp_op_div_c) or (cp_op = cp_op_divu_c)) else remainder;
|
|
div_sign_comp <= std_ulogic_vector(0 - unsigned(div_sign_comp_in));
|
div_sign_comp <= std_ulogic_vector(0 - unsigned(div_sign_comp_in));
|
|
|
-- result sign correction --
|
|
div_res <= div_sign_comp when (div_res_corr = '1') and (opy_is_zero = '0') else div_sign_comp_in;
|
div_res <= div_sign_comp when (div_res_corr = '1') and (opy_is_zero = '0') else div_sign_comp_in;
|
|
|
|
|
-- Data Output ----------------------------------------------------------------------------
|
-- Data Output ----------------------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
-- -------------------------------------------------------------------------------------------
|
operation_result: process(clk_i)
|
operation_result: process(rstn_i, clk_i)
|
begin
|
begin
|
if rising_edge(clk_i) then
|
if (rstn_i = '0') then
|
|
res_o <= (others => def_rst_val_c);
|
|
elsif rising_edge(clk_i) then
|
res_o <= (others => '0');
|
res_o <= (others => '0');
|
if (valid = '1') then
|
if (valid = '1') then
|
case cp_op_ff is
|
case cp_op_ff is
|
when cp_op_mul_c =>
|
when cp_op_mul_c =>
|
res_o <= mul_product(31 downto 00);
|
res_o <= mul_product(31 downto 00);
|
Line 318... |
Line 318... |
res_o <= quotient;
|
res_o <= quotient;
|
when cp_op_rem_c =>
|
when cp_op_rem_c =>
|
if (opy_is_zero = '0') then
|
if (opy_is_zero = '0') then
|
res_o <= div_res;
|
res_o <= div_res;
|
else
|
else
|
res_o <= rs1;
|
res_o <= rs1_i;
|
end if;
|
end if;
|
when others => -- cp_op_remu_c
|
when others => -- cp_op_remu_c
|
res_o <= remainder;
|
res_o <= remainder;
|
end case;
|
end case;
|
end if;
|
end if;
|