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/fixed_point_arithmetic_parameterized/trunk/src/qdiv.v
1,87 → 1,86
`timescale 1ns / 1ps
//////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 19:39:14 08/24/2011
// Design Name:
// Module Name: divider
// Project Name:
// Target Devices:
// Tool versions:
// Description:
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
//////////////////////////////////////////////////////////////////////////////////
 
module qdiv(
input [N-1:0] dividend,
input [N-1:0] divisor,
input start,
input clk,
output [N-1:0] quotient_out,
output complete
);
 
//Parameterized values
parameter Q = 15;
parameter N = 32;
 
`timescale 1ns / 1ps
//////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 19:39:14 08/24/2011
// Design Name:
// Module Name: divider
// Project Name:
// Target Devices:
// Tool versions:
// Description:
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
//////////////////////////////////////////////////////////////////////////////////
module qdiv(
input [N-1:0] dividend,
input [N-1:0] divisor,
input start,
input clk,
output [N-1:0] quotient_out,
output complete
);
//Parameterized values
parameter Q = 15;
parameter N = 32;
reg [N-1:0] quotient;
reg [N-1:0] dividend_copy;
reg [N-1:0] dividend_copy;
reg [2*(N-1)-1:0] divider_copy;
 
reg [5:0] bit;
reg [5:0] bit;
reg done;
initial done = 1;
assign quotient_out = quotient;
initial done = 1;
assign quotient_out = quotient;
assign complete = done;
 
always @( posedge clk )
begin
if( done && start ) begin
 
done <= 1'b0;
bit <= N+Q-2;
quotient <= 0;
dividend_copy <= {1'b0,dividend[N-2:0]};
dividend_copy <= {1'b0,dividend[N-2:0]};
divider_copy[2*(N-1)-1] <= 0;
divider_copy[2*(N-1)-2:N-2] <= divisor[N-2:0];
divider_copy[N-3:0] <= 0;
//set sign bit
divider_copy[2*(N-1)-2:N-2] <= divisor[N-2:0];
divider_copy[N-3:0] <= 0;
//set sign bit
if((dividend[N-1] == 1 && divisor[N-1] == 0) || (dividend[N-1] == 0 && divisor[N-1] == 1))
quotient[N-1] <= 1;
else
quotient[N-1] <= 1;
else
quotient[N-1] <= 0;
end
end
else if(!done) begin
 
//compare divisor/dividend
if(dividend_copy >= divider_copy) begin
//subtract
dividend_copy <= dividend_copy - divider_copy;
//set quotient
quotient[bit] <= 1'b1;
end
//reduce divisor
divider_copy <= divider_copy >> 1;
//reduce bit counter
bit <= bit - 1;
//stop condition
if(dividend_copy == 0)
done <= 1'b1;
end
end
endmodule
//compare divisor/dividend
if(dividend_copy >= divider_copy) begin
//subtract
dividend_copy <= dividend_copy - divider_copy;
//set quotient
quotient[bit] <= 1'b1;
end
//reduce divisor
divider_copy <= divider_copy >> 1;
//stop condition
if(bit == 0)
done <= 1'b1;
//reduce bit counter
bit <= bit - 1;
end
end
endmodule
/fixed_point_arithmetic_parameterized/trunk/testfixtures/qdiv_tf.v
1,65 → 1,173
`timescale 1ns / 1ps
 
////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 19:41:28 08/24/2011
// Design Name: divider
// Module Name: C:/Documents and Settings/samskalicky/Desktop/PLE/divider_tf.v
// Project Name: PLE
// Target Device:
// Tool versions:
// Description:
//
// Verilog Test Fixture created by ISE for module: divider
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
////////////////////////////////////////////////////////////////////////////////
 
`timescale 1ns / 1ps
////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 19:41:28 08/24/2011
// Design Name: divider
// Module Name: C:/Documents and Settings/samskalicky/Desktop/PLE/divider_tf.v
// Project Name: PLE
// Target Device:
// Tool versions:
// Description:
//
// Verilog Test Fixture created by ISE for module: divider
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
////////////////////////////////////////////////////////////////////////////////
module qdiv_tf;
 
// Inputs
reg [31:0] dividend;
reg [31:0] divisor;
reg start;
//Parameterized values
parameter Q = 15;
parameter N = 32;
// Inputs
reg [N-1:0] dividend;
reg [N-1:0] divisor;
reg start;
reg clk;
 
// Outputs
wire [31:0] quotient;
 
// Instantiate the Unit Under Test (UUT)
//module Params Name Signals
qdiv #(15,32) uut (dividend, divisor, start, clk, quotient);
 
initial begin
real top;
real bottom;
// Outputs
wire [N-1:0] quotient;
wire done;
real result;
// Instantiate the Unit Under Test (UUT)
//module Params Name Signals
qdiv #(Q,N) uut (dividend, divisor, start, clk, quotient,done);
initial begin
// Initialize Inputs
dividend[31] = 0;
dividend[30:15] = 64;
dividend[14:0] = 4096;//1048576;//4096;
top = -32.5;
bottom = 2.25;
divisor[31] = 0;
divisor[30:15] = 2;
divisor[14:0] = 0;
start = 1;
clk = 0;
 
// Wait 100 ns for global reset to finish
#100;
// Add stimulus here
conv_rational(top,dividend);
conv_rational(bottom,divisor);
start = 1;
clk = 0;
// Wait 100 ns for global reset to finish
#100;
// Add stimulus here
start = 0;
#366;
conv_fixed(quotient,result);
$display("%f / %f = %f",top,bottom,result);
end
always
begin
#5 clk = ~clk;
end
 
always
begin
#5 clk = ~clk;
end
endmodule
 
/*
* Task to convert from rational to fixed point
*/
task conv_rational;
input real num;
output [N-1:0] fixed;
integer i;
real tmp;
begin
tmp = num;
//set sign
if(tmp < 0) begin
//if its negative, set the sign bit and make the temporary number position by multiplying by -1
fixed[N-1] = 1;
tmp = tmp * -1;
end
else begin
//if its positive, the sign bit is zero
fixed[N-1] = 0;
end
//check that the number isnt too large
if(tmp > (1 << N-Q-1)) begin
$display("Error!!! rational number %f is larger than %d whole bits can represent!",num,N-Q-1);
end
//set whole part
for(i=0; i<N-Q-1; i=i+1) begin
if(tmp >= (1 << N-Q-2-i)) begin
//if its greater or equal, subtract out this power of 2 and put a one at this position
fixed[N-2-i] = 1;
tmp = tmp - (1 << N-Q-2-i);
end
else begin
//if its less, put a zero at this position
fixed[N-2-i] = 0;
end
end
//set fractional part
for(i=1; i<=Q; i=i+1) begin
if(tmp >= 1.0/(1 << i)) begin
//if its greater or equal, subtract out this power of 2 and put a one at this position
fixed[Q-i] = 1;
tmp = tmp - 1.0/(1 << i);
end
else begin
//if its less, put a zero at this position
fixed[Q-i] = 0;
end
end
//check that the number isnt too small (loss of precision)
if(tmp > 0) begin
$display("Error!!! LOSS OF PRECISION converting rational number %f's fractional part using %d bits!",num,Q);
end
end
endtask;
/*
* Task to convert from fixed point to rational
*/
task conv_fixed;
input [N-1:0] fixed;
output real num;
integer i;
begin
num = 0;
//set whole part
for(i=0; i<N-Q-1; i=i+1) begin
if(fixed[N-2-i] == 1) begin
//if theres a one at this position, add the power of 2 to the rational number
num = num + (1 << N-Q-2-i);
end
end
//set fractional part
for(i=1; i<=Q; i=i+1) begin
if(fixed[Q-i] == 1) begin
//if theres a one at this position, add the power of 2 to the rational number
num = num + 1.0/(1 << i);
end
end
//set sign
if(fixed[N-1] == 1) begin
//if the sign bit is set, negate the rational number
num = num * -1;
end
end
endtask;
endmodule

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