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[/] [s80186/] [trunk/] [rtl/] [Divider.sv] - Rev 2
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// Copyright Jamie Iles, 2017
//
// This file is part of s80x86.
//
// s80x86 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.
//
// s80x86 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 s80x86. If not, see <http://www.gnu.org/licenses/>.
// Non-restoring division
module Divider(input logic clk,
input logic reset,
input logic start,
input logic is_8_bit,
input logic is_signed,
output logic busy,
output logic complete,
output logic error,
input logic [31:0] dividend,
input logic [15:0] divisor,
output logic [15:0] quotient,
output logic [15:0] remainder);
typedef enum bit[1:0] {
INIT,
WORKING,
RESTORE,
FIX_SIGN
} DivState_t;
DivState_t state, next_state;
// Remainder
wire [15:0] rem8 = {{8{P[15]}}, P[15:8]};
wire [15:0] rem16 = P[31:16];
assign remainder = is_8_bit ? rem8 : rem16;
// Shifted divisor
wire [31:0] udivshift8 = {16'b0, divisor[7:0], 8'b0};
wire [31:0] udivshift16 = {divisor, 16'b0};
wire [31:0] udivshift = is_8_bit ? udivshift8 : udivshift16;
wire [31:0] sdivshift8 = {16'b0, divisor_mag[7:0], 8'b0};
wire [31:0] sdivshift16 = {divisor_mag, 16'b0};
wire [31:0] sdivshift = is_8_bit ? sdivshift8 : sdivshift16;
wire [31:0] D = is_signed ? sdivshift : udivshift;
// Overflow
wire unsigned_overflow8 = dividend[15:0] >= {divisor[7:0], 8'b0};
wire unsigned_overflow16 = dividend >= {divisor, 16'b0};
wire unsigned_overflow = is_8_bit ? unsigned_overflow8 : unsigned_overflow16;
wire signed_overflow8 = in_signs_equal && dividend_mag[14:7] >= divisor_mag[7:0];
wire signed_overflow16 = in_signs_equal && dividend_mag[30:15] >= divisor_mag;
wire signed_overflow = is_8_bit ? signed_overflow8 : signed_overflow16;
wire overflow = is_signed ? signed_overflow : unsigned_overflow;
wire div_by_zero = divisor == 16'b0;
// Magnitudes
wire [31:0] dividend_mag = (dividend + {32{dividend[31]}}) ^ {32{dividend[31]}};
wire [15:0] divisor_mag = (divisor + {16{divisor[15]}}) ^ {16{divisor[15]}};
// Dividend
wire [63:0] P16 = is_signed ?
{32'b0, dividend_mag} : {32'b0, dividend};
wire [63:0] P8 = is_signed ?
{48'b0, dividend_mag[15:0]} : {48'b0, dividend[15:0]};
wire [63:0] P_init = is_8_bit ? P8 : P16;
// Sign bits
wire in_signs_equal8 = ~(dividend[15] ^ divisor[7]);
wire in_signs_equal16 = ~(dividend[31] ^ divisor[15]);
wire in_signs_equal = is_8_bit ? in_signs_equal8 : in_signs_equal16;
wire dividend_negative = is_8_bit ? dividend[15] : dividend[31];
reg [63:0] P;
reg [3:0] idx;
wire [15:0] restored_quotient;
wire [15:0] negative_quotient = ~quotient + 1'b1;
// Error condition
wire raise_error = div_by_zero | overflow;
assign busy = (start || (state != INIT) && !complete);
always_comb begin
if (is_8_bit) begin
restored_quotient = {8'b0, P[63] ?
quotient[7:0] - ~quotient[7:0] - 8'b1 : quotient[7:0] - ~quotient[7:0]};
end else begin
restored_quotient = P[63] ?
quotient - ~quotient - 16'b1 : quotient - ~quotient;
end
end
always_comb begin
case (state)
INIT: next_state = start && !error && !raise_error ? WORKING : INIT;
WORKING: next_state = idx == 4'b0 ? RESTORE : WORKING;
RESTORE: next_state = is_signed ? FIX_SIGN : INIT;
FIX_SIGN: next_state = INIT;
endcase
if (reset)
next_state = INIT;
end
always_ff @(posedge clk or posedge reset) begin
if (reset) begin
error <= 1'b0;
complete <= 1'b0;
end else begin
case (state)
INIT: begin
error <= 1'b0;
if (start) begin
quotient <= 16'b0;
P <= P_init;
idx <= !is_8_bit ? 4'hf : 4'h7;
error <= raise_error;
end
complete <= start && raise_error;
end
WORKING: begin
if (!P[63]) begin
quotient[idx] <= 1'b1;
P <= (P * 2) - {32'b0, D};
end else begin
P <= (P * 2) + {32'b0, D};
end
idx <= idx - 1'b1;
end
RESTORE: begin
quotient <= restored_quotient;
if (P[63])
P <= P + {{32{D[31]}}, D};
complete <= ~is_signed;
end
FIX_SIGN: begin
if (~in_signs_equal) begin
quotient <= negative_quotient;
error <= is_signed & ~negative_quotient[is_8_bit ? 7 : 15];
end else begin
error <= is_signed & quotient[is_8_bit ? 7 : 15];
end
if (dividend_negative && is_8_bit)
P[15:8] <= ~P[15:8] + 1'b1;
else if (dividend_negative)
P[31:16] <= ~P[31:16] + 1'b1;
complete <= 1'b1;
end
endcase
end
end
always_ff @(posedge clk)
state <= next_state;
endmodule