帮我写一个cordic算法实现开方运算的Verilog代码
时间: 2024-05-10 15:19:58 浏览: 44
好的,我可以帮你实现一个cordic算法实现开方运算的Verilog代码,以下是代码实现:
```
module cordic_sqrt #(
parameter WIDTH = 16,
parameter SHIFTNUM = 8
) (
input signed [WIDTH-1:0] in,
output reg signed [WIDTH-1:0] out
);
reg signed [WIDTH:0] y, x;
reg signed [WIDTH:0] angle = $signed({1'b0, {((WIDTH+2) >> 1){1'b0}}, 1'b1}); // 初始角度
reg signed [SHIFTNUM-1:0] shift_cnt;
reg [1:0] met;
always @(in or met or angle or shift_cnt) begin
y[WIDTH:0] <= met == 2'b0 ? y[WIDTH-1:0] - (x[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt)) : y[WIDTH-1:0] + (x[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt));
x[WIDTH:0] <= met == 2'b1 ? x[WIDTH-1:0] - (y[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt)) : x[WIDTH-1:0] + (y[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt));
angle[WIDTH+1:0] <= angle[WIDTH-1:0] - (met == 2'b0 ? $signed({{(WIDTH+2){1'b0}}, angle[WIDTH], angle[WIDTH-1]}) : $signed({{(WIDTH+2){1'b0}}, 0, angle[WIDTH-1]}));
shift_cnt <= shift_cnt - 1;
end
always @(posedge clk) begin
if (rst) begin
y <= 0;
x <= in[WIDTH-1] ? -((1<<WIDTH) - 1) : (1<<WIDTH) - 1;
shift_cnt <= SHIFTNUM;
met <= 2'b0;
end else begin
met <= {y[WIDTH], in[WIDTH-1:WIDTH]} == 2'b01 | {~y[WIDTH], in[WIDTH-1:WIDTH]} == 2'b10 ? 2'b1 : 2'b0;
if (shift_cnt == 0) begin
out <= y[WIDTH-1] ? ~y[WIDTH-1:0] + 1 : y[WIDTH-1:0];
y[WIDTH:0] <= y[WIDTH-1] ? ~(1<<WIDTH) : (1<<WIDTH);
x[WIDTH:0] <= in[WIDTH-1] ? -((1<<WIDTH) - 1) : (1<<WIDTH) - 1;
angle[WIDTH+1:0] <= $signed({{(WIDTH+2){1'b0}}, angle[WIDTH]});
shift_cnt <= SHIFTNUM;
end else begin
y[WIDTH:0] <= met == 2'b0 ? y[WIDTH-1:0] - (x[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt)) : y[WIDTH-1:0] + (x[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt));
x[WIDTH:0] <= met == 2'b1 ? x[WIDTH-1:0] - (y[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt)) : x[WIDTH-1:0] + (y[WIDTH-1] ? -(1<<shift_cnt) : (1<<shift_cnt));
angle[WIDTH+1:0] <= angle[WIDTH-1:0] - (met == 2'b0 ? $signed({{(WIDTH+2){1'b0}}, angle[WIDTH], angle[WIDTH-1]}) : $signed({{(WIDTH+2){1'b0}}, 0, angle[WIDTH-1]}));
shift_cnt <= shift_cnt - 1;
end
end
end
endmodule
```
该代码使用CORDIC(Coordinate Rotation Digital Computer)算法实现开方运算,通过迭代旋转角度、移位和加减操作来逼近结果。其中,WIDTH参数指定输入和输出的位数,SHIFTNUM参数指定移位的次数。当输入数据in进入时,另外的y和x信号也被初始化。每个时钟边沿时,CORDIC算法迭代一次,直到SHIFTNUM次迭代完成。最终的计算结果存储在out中。
但请注意,此代码仅供参考。在使用时,请根据您的需要对其进行修改和优化。