📄 cordic.v
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`timescale 1ns / 1ps
//////////////////////////////////////////////////////////////////////////////////
// Company:
// Engineer:
//
// Create Date: 09:39:47 09/21/2007
// Design Name:
// Module Name: cordic
// Project Name:
// Target Devices:
// Tool versions:
// Description:
//
// Dependencies:
//
// Revision:
// Revision 0.01 - File Created
// Additional Comments:
//
//////////////////////////////////////////////////////////////////////////////////
module cordic(clk,rst_n,ena,phase_in,sin_out,cos_out,eps);
parameter DATA_WIDTH=8;
parameter PIPELINE=8;
input clk;
input rst_n;
input ena;
input [DATA_WIDTH-1:0] phase_in;
output [DATA_WIDTH-1:0] sin_out;
output [DATA_WIDTH-1:0] cos_out;
output [DATA_WIDTH-1:0] eps;
reg [DATA_WIDTH-1:0] sin_out;
reg [DATA_WIDTH-1:0] cos_out;
reg [DATA_WIDTH-1:0] eps;
reg [DATA_WIDTH-1:0] phase_in_reg;
reg [DATA_WIDTH-1:0] x0,y0,z0;
reg [DATA_WIDTH-1:0] x1,y1,z1;
reg [DATA_WIDTH-1:0] x2,y2,z2;
reg [DATA_WIDTH-1:0] x3,y3,z3;
reg [DATA_WIDTH-1:0] x4,y4,z4;
reg [DATA_WIDTH-1:0] x5,y5,z5;
reg [DATA_WIDTH-1:0] x6,y6,z6;
reg [DATA_WIDTH-1:0] x7,y7,z7;
reg [1:0] quadrant[PIPELINE:0];
integer i;
//get real quadrant and map to first_n quadrant
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
phase_in_reg<=8'b0000_0000;
else
if(ena)
begin
case(phase_in[7:6])
2'b00:phase_in_reg<=phase_in;
2'b01:phase_in_reg<=phase_in - 8'h40; //-pi/2
2'b10:phase_in_reg<=phase_in - 8'h80; //-pi
2'b11:phase_in_reg<=phase_in - 8'hc0; //-3pi/2
default:;
endcase
end
end
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x0<=8'b0000_0000;
y0<=8'b0000_0000;
z0<=8'b0000_0000;
end
else
if(ena)
begin
x0 <= 8'h4D;
//define aggregate constant Xi=1/P=1/1.6467=0.69725(Xi=2^7*P=8'h4D)
y0 <= 8'h00;
z0 <= phase_in_reg;
end
end
//level 1
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x1<=8'b0000_0000;
y1<=8'b0000_0000;
z1<=8'b0000_0000;
end
else
if(ena)
if(z0[7]==1'b0)
begin
x1 <= x0 - y0;
y1 <= y0 + x0;
z1 <= z0 - 8'h20; //45deg
end
else
begin
x1 <= x0 + y0;
y1 <= y0 - x0;
z1 <= z0 + 8'h20; //45deg
end
end
//level2
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x2<=8'b0000_0000;
y2<=8'b0000_0000;
z2<=8'b0000_0000;
end
else
if(ena)
if(z1[7]==1'b0)
begin
x2 <= x1 - {y1[DATA_WIDTH-1],y1[DATA_WIDTH-1:1]};
y2 <= y1 + {x1[DATA_WIDTH-1],x1[DATA_WIDTH-1:1]};
z2 <= z1 - 8'h12; //26deg
end
else
begin
x2 <= x1 + {y1[DATA_WIDTH-1],y1[DATA_WIDTH-1:1]};
y2 <= y1 - {x1[DATA_WIDTH-1],x1[DATA_WIDTH-1:1]};
z2 <= z1 + 8'h12; //26deg
end
end
//level3
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x3<=8'b0000_0000;
y3<=8'b0000_0000;
z3<=8'b0000_0000;
end
else
if(ena)
if(z2[7]==1'b0)
begin
x3 <= x2 - {{2{y2[DATA_WIDTH-1]}},y2[DATA_WIDTH-1:2]};
y3 <= y2 + {{2{x2[DATA_WIDTH-1]}},x2[DATA_WIDTH-1:2]};
z3 <= z2 - 8'h09; //14deg
end
else
begin
x3 <= x2 + {{2{y2[DATA_WIDTH-1]}},y2[DATA_WIDTH-1:2]};
y3 <= y2 - {{2{x2[DATA_WIDTH-1]}},x2[DATA_WIDTH-1:2]};
z3 <= z2 + 8'h09; //14deg
end
end
//level4
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x4<=8'b0000_0000;
y4<=8'b0000_0000;
z4<=8'b0000_0000;
end
else
if(ena)
if(z3[7]==1'b0)
begin
x4 <= x3 - {{3{y3[DATA_WIDTH-1]}},y3[DATA_WIDTH-1:3]};
y4 <= y3 + {{3{x3[DATA_WIDTH-1]}},x3[DATA_WIDTH-1:3]};
z4 <= z3 - 8'h04; //7deg
end
else
begin
x4 <= x3 + {{3{y3[DATA_WIDTH-1]}},y3[DATA_WIDTH-1:3]};
y4 <= y3 - {{3{x3[DATA_WIDTH-1]}},x3[DATA_WIDTH-1:3]};
z4 <= z3 + 8'h04; //7deg
end
end
//level5
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x5<=8'b0000_0000;
y5<=8'b0000_0000;
z5<=8'b0000_0000;
end
else
if(ena)
if(z4[7]==1'b0)
begin
x5 <= x4 - {{4{y4[DATA_WIDTH-1]}},y4[DATA_WIDTH-1:4]};
y5 <= y4 + {{4{x4[DATA_WIDTH-1]}},x4[DATA_WIDTH-1:4]};
z5 <= z4 - 8'h02; //4deg
end
else
begin
x5 <= x4 + {{4{y4[DATA_WIDTH-1]}},y4[DATA_WIDTH-1:4]};
y5 <= y4 - {{4{x4[DATA_WIDTH-1]}},x4[DATA_WIDTH-1:4]};
z5 <= z4 + 8'h02; //4deg
end
end
//level6
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x6<=8'b0000_0000;
y6<=8'b0000_0000;
z6<=8'b0000_0000;
end
else
if(ena)
if(z5[7]==1'b0)
begin
x6 <= x5 - {{5{y5[DATA_WIDTH-1]}},y5[DATA_WIDTH-1:5]};
y6 <= y5 + {{5{x5[DATA_WIDTH-1]}},x5[DATA_WIDTH-1:5]};
z6 <= z5 - 8'h01; //2deg
end
else
begin
x6 <= x5 + {{5{y5[DATA_WIDTH-1]}},y5[DATA_WIDTH-1:5]};
y6 <= y5 - {{5{x5[DATA_WIDTH-1]}},x5[DATA_WIDTH-1:5]};
z6 <= z5 + 8'h01; //2deg
end
end
//remain the quadrant information for 'duiqi'
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
for(i=0; i<=PIPELINE; i=i+1)
quadrant[i]<=2'b00;
else
if(ena)
begin
for(i=0; i<PIPELINE; i=i+1)
quadrant[i+1]<=quadrant[i];
quadrant[0]<=phase_in[7:6];
end
end
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
sin_out <= 8'b0000_0000;
cos_out <= 8'b0000_0000;
eps <= 8'b0000_0000;
end
else
if(ena)
case(quadrant[7])
2'b00:begin
sin_out <= y6;
cos_out <= x6;
eps <= z6;
end
2'b01:begin
sin_out <= x6;
cos_out <= ~(y6) + 1'b1;
eps <= z6;
end
2'b10:begin
sin_out <= ~(y6) + 1'b1;
cos_out <= ~(x6) + 1'b1;
eps <= z6;
end
2'b11:begin
sin_out <= ~(x6) + 1'b1;
cos_out <= y6;
eps <= z6;
end
endcase
end
endmodule
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