📄 cordic.v
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module cordic(clk,rst_n,in,out);
parameter DATA_WIDTH=16;
input clk;
input rst_n;
input [DATA_WIDTH-1:0] in;
output [DATA_WIDTH-1:0] out;
reg [DATA_WIDTH-1:0] out;
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 [DATA_WIDTH-1:0] x8,y8,z8;
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x0<=16'b0000_0000_0000_0000;
y0<=16'b0000_0000_0000_0000;
z0<=16'b0000_0000_0000_0000;
end
else
begin
x0 <= 16'h4DBA;
y0 <= 16'h0000;
z0 <= in;
end
end
//level 1
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x1<=16'b0000_0000_0000_0000;
y1<=16'b0000_0000_0000_0000;
z1<=16'b0000_0000_0000_0000;
end
else
if(z0[15]==1'b0)
begin
x1 <= x0 - y0;
y1 <= y0 + x0;
z1 <= z0 - 16'h4000; //45deg
end
else
begin
x1 <= x0 + y0;
y1 <= y0 - x0;
z1 <= z0 + 16'h4000; //45deg
end
end
//level2
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x2<=16'h0000 ;
y2<=16'h0000 ;
z2<=16'h0000 ;
end
else
if(z1[15]==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 - 16'h25c8; //26.5651deg
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 + 16'h25c8; //26.5651deg
end
end
//level3
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x3<=16'b0000_0000_0000_0000;
y3<=16'b0000_0000_0000_0000;
z3<=16'b0000_0000_0000_0000;
end
else
if(z2[15]==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 - 16'h13f6; //14.0362deg
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 + 16'h13f6; //14.0362deg
end
end
//level4
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x4<=16'b0000_0000_0000_0000;
y4<=16'b0000_0000_0000_0000;
z4<=16'b0000_0000_0000_0000;
end
else
if(z3[15]==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 - 16'h0A22; //7.1250deg
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 + 16'h0A22; //7.1250deg
end
end
//level5
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x5<=16'b0000_0000_0000_0000;
y5<=16'b0000_0000_0000_0000;
z5<=16'b0000_0000_0000_0000;
end
else
if(z4[15]==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 - 16'h0516; // 3.5763 deg
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 + 16'h0516; // 3.5763 deg
end
end
//level6
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x6<=16'b0000_0000_0000_0000;
y6<=16'b0000_0000_0000_0000;
z6<=16'b0000_0000_0000_0000;
end
else
if(z5[15]==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 - 16'h028C; //1.7899deg
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 + 16'h028C; //1.7899deg
end
end
//level7
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x7<=16'b0000_0000_0000_0000;
y7<=16'b0000_0000_0000_0000;
z7<=16'b0000_0000_0000_0000;
end
else
if(z6[15]==1'b0)
begin
x7 <= x6 - {{6{y6[DATA_WIDTH-1]}},y6[DATA_WIDTH-1:6]};
y7 <= y6 + {{6{x6[DATA_WIDTH-1]}},x6[DATA_WIDTH-1:6]};
z7 <= z6 - 16'h0146; // 0.8952deg
end
else
begin
x7 <= x6 + {{6{y6[DATA_WIDTH-1]}},y6[DATA_WIDTH-1:6]};
y7 <= y6 - {{6{x6[DATA_WIDTH-1]}},x6[DATA_WIDTH-1:6]};
z7 <= z6 + 16'h0146; // 0.8952deg
end
end
//level8
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
begin
x8<=16'b0000_0000_0000_0000;
y8<=16'b0000_0000_0000_0000;
z8<=16'b0000_0000_0000_0000;
end
else
if(z7[15]==1'b0)
begin
x8 <= x7 - {{7{y7[DATA_WIDTH-1]}},y7[DATA_WIDTH-1:7]};
y8 <= y7 + {{7{x7[DATA_WIDTH-1]}},x7[DATA_WIDTH-1:7]};
z8 <= z7 - 16'h00A3; // 0.4476deg
end
else
begin
x8 <= x7 + {{7{y6[DATA_WIDTH-1]}},y7[DATA_WIDTH-1:7]};
y8 <= y7 - {{7{x7[DATA_WIDTH-1]}},x7[DATA_WIDTH-1:7]};
z8 <= z7 + 16'h00A3; // 0.4476deg
end
end
always @(posedge clk or negedge rst_n)
begin
if(!rst_n)
out <= 16'b0000_0000_0000_0000;
else
out <= y8;
end
endmodule
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