modelsim实现积分的模块,并调用积分模块形成测试程序
时间: 2023-08-21 22:02:33 浏览: 47
首先需要确定积分的方法,这里假设使用梯形积分法。
接下来是积分模块的代码:
```verilog
module trapezoidal_integrator (
input clk,
input reset,
input start,
input signed [31:0] x,
input signed [31:0] y,
input signed [31:0] dx,
output reg signed [31:0] result,
output reg done
);
reg signed [31:0] sum;
reg signed [31:0] prev_x;
reg signed [31:0] prev_y;
reg signed [31:0] area;
reg [1:0] state;
always @(posedge clk) begin
if (reset) begin
state <= 2'b00;
sum <= 0;
prev_x <= 0;
prev_y <= 0;
area <= 0;
done <= 0;
result <= 0;
end else begin
case (state)
2'b00: begin // idle state
if (start) begin
state <= 2'b01;
sum <= 0;
prev_x <= x;
prev_y <= y;
area <= 0;
end
end
2'b01: begin // integration state
sum <= sum + ((prev_y + y) * dx) / 2;
area <= (prev_x - x) * (prev_y + y) / 2;
prev_x <= x;
prev_y <= y;
if (x == 0) begin
state <= 2'b10;
result <= sum;
end
end
2'b10: begin // done state
done <= 1;
end
default: begin
state <= 2'b00;
end
endcase
end
end
endmodule
```
该模块有六个输入和三个输出:
- `clk`:时钟信号
- `reset`:复位信号
- `start`:开始积分信号
- `x`:当前积分点的自变量值
- `y`:当前积分点的因变量值
- `dx`:自变量的步长
- `result`:积分结果
- `done`:完成积分信号
积分模块的状态机有三个状态:
- `idle`:等待开始积分信号
- `integration`:积分状态,计算梯形面积并累加
- `done`:积分完成状态,输出结果和完成信号
接下来是测试程序的代码,我们使用 Verilog Testbench:
```verilog
`timescale 1ns/1ns
module trapezoidal_integrator_tb;
reg clk;
reg reset;
reg start;
reg signed [31:0] x;
reg signed [31:0] y;
reg signed [31:0] dx;
wire signed [31:0] result;
wire done;
trapezoidal_integrator dut (
.clk(clk),
.reset(reset),
.start(start),
.x(x),
.y(y),
.dx(dx),
.result(result),
.done(done)
);
initial begin
clk = 0;
forever #5 clk = ~clk;
end
initial begin
reset = 1;
start = 0;
x = 0;
y = 0;
dx = 1;
#10 reset = 0;
#10 start = 1;
#10 x = 1;
#10 y = 1;
#10 x = 2;
#10 y = 2;
#10 x = 3;
#10 y = 3;
#10 x = 4;
#10 y = 4;
#10 x = 5;
#10 y = 5;
#10 x = 0;
#10 start = 0;
#100 $finish;
end
endmodule
```
在测试程序中,我们设置了五个积分点(x=1,2,3,4,5,y=x),步长为1,总共需要积分6个点,最后一个点的 x 值为 0,表示积分结束。测试程序的输出结果可以通过仿真软件查看。