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`timescale 1ns / 1ns
module biquad_tb;
parameter DATA_WIDTH = 28;
parameter DATA_COUNT = 4;
parameter COEFFICIENT_WIDTH = 25;
reg sysClk = 1, dataClk = 1;
reg sysCoefficientStrobe = 0;
reg [2:0] sysCoefficientAddress = {3{1'bx}};
reg [COEFFICIENT_WIDTH-1:0] sysCoefficientValue = {COEFFICIENT_WIDTH{1'bx}};
reg S_TVALID = 0;
reg [(DATA_COUNT*DATA_WIDTH)-1:0] S_TDATA = {DATA_COUNT*DATA_WIDTH{1'bx}};
wire S_TREADY;
wire M_TVALID;
wire [(DATA_COUNT*DATA_WIDTH)-1:0] M_TDATA;
biquad #(.DATA_WIDTH(DATA_WIDTH),
.DATA_COUNT(DATA_COUNT),
.COEFFICIENT_WIDTH(COEFFICIENT_WIDTH))
biquad (
.sysClk(sysClk),
.sysCoefficientStrobe(sysCoefficientStrobe),
.sysCoefficientAddress(sysCoefficientAddress),
.sysCoefficientValue(sysCoefficientValue),
.dataClk(dataClk),
.S_TDATA(S_TDATA),
.S_TVALID(S_TVALID),
.S_TREADY(S_TREADY),
.M_TDATA(M_TDATA),
.M_TVALID(M_TVALID),
.M_TREADY(1'b1));
always begin
#5 sysClk = !sysClk;
end
always begin
#4 dataClk = !dataClk;
end
integer pass = 1;
integer xCheck, x, xOld;
integer i;
initial begin
if ($test$plusargs("vcd")) begin
$dumpfile("biquad.vcd");
$dumpvars(4,biquad_tb);
end
#40;
$display("Unity gain");
setCoefficients(1, 0, 0, 0, 0);
check(-101, -101);
check(101, 101);
check({1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1},
{1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1});
$display("Unity gain, one sample delay");
setCoefficients(0, 1, 0, 0, 0);
check(-101, 0);
check(101, -101);
check({1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1}, 101);
check(0, {1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1});
$display("Unity gain, two sample delay");
setCoefficients(0, 0, 1, 0, 0);
check(-101, 0);
check(101, 0);
check({1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1}, -101);
check(0, 101);
check(0, {1'b1, {DATA_WIDTH-2{1'b0}}, 1'b1});
$display("Boxcar average");
setCoefficients(1, 1, 1, 0, 0);
check(101, 101);
check(101, 202);
check(101, 303);
check(101, 303);
check(-101, 101);
check(-101, -101);
check(101, -101);
check(101, 101);
// Check overflow
check({1'b0, {DATA_WIDTH-1{1'b1}}}, {1'b0, {DATA_WIDTH-1{1'b1}}});
check({1'b0, {DATA_WIDTH-1{1'b1}}}, {1'b0, {DATA_WIDTH-1{1'b1}}});
check(0, {1'b0, {DATA_WIDTH-1{1'b1}}});
// Check exit from overflow
check(-1, {1'b0, {DATA_WIDTH-1{1'b1}}} - 1);
check(0, -1);
$display("Weighted average (FIR)");
setCoefficients(0.1, -0.25, 0.65, 0, 0);
check(100000000, 10000000);
check( 90000000,-16000000);
check( 80000000, 50500000);
check( 0, 38500000);
$display("First order low pass");
setCoefficients(0.25, 0, 0, -0.75, 0);
x = 16777216;
check(16777216 * 4, x);
for (i = 0 ; i < 20 ; i += 1) begin
x = x * 3 / 4;
check(0, x);
end
setCoefficients(0.125, 0, 0, -0.875, 0);
x = -67108864 / 8;
for (i = 0 ; i < 20 ; i += 1) begin
check(-67108864, x);
x = (-67108864 + x * 7) / 8;
end
$display("Second order low pass");
setCoefficients(0.5, 0, 0, -1, 0.5);
x = 0;
xOld = 0;
for (i = 0 ; i < 20 ; i += 1) begin
xCheck = 5000000 + x - (xOld / 2);
check(10000000, xCheck);
xOld = x;
x = xCheck;
end
#100;
if (pass) begin
$display("PASS");
$finish(0);
end else begin
$display("FAIL");
$stop(0);
end
end
task setCoefficients;
input real b0, b1, b2, a1, a2;
reg [COEFFICIENT_WIDTH-1:0] ib0, ib1, ib2, ia1, ia2;
begin
ib0 = (1 << (COEFFICIENT_WIDTH-2)) * b0;
ib1 = (1 << (COEFFICIENT_WIDTH-2)) * b1;
ib2 = (1 << (COEFFICIENT_WIDTH-2)) * b2;
ia1 = (1 << (COEFFICIENT_WIDTH-2)) * a1;
ia2 = (1 << (COEFFICIENT_WIDTH-2)) * a2;
@(posedge sysClk) begin
sysCoefficientAddress <= 0;
sysCoefficientValue <= ib0;
sysCoefficientStrobe <= 1;
end
@(posedge sysClk) begin
sysCoefficientAddress <= 1;
sysCoefficientValue <= ib1;
end
@(posedge sysClk) begin
sysCoefficientAddress <= 2;
sysCoefficientValue <= ib2;
end
@(posedge sysClk) begin
sysCoefficientAddress <= 3;
sysCoefficientValue <= -ia2;
end
@(posedge sysClk) begin
sysCoefficientAddress <= 4;
sysCoefficientValue <= -ia1;
end
@(posedge sysClk) begin
sysCoefficientAddress <= 7;
sysCoefficientValue <= {COEFFICIENT_WIDTH{1'bx}};
end
@(posedge sysClk) begin
sysCoefficientAddress <= {3{1'bx}};
sysCoefficientStrobe <= 0;
end
end
endtask
task check;
input signed [DATA_WIDTH-1:0] u, yGood;
reg [(DATA_COUNT*DATA_WIDTH)-1:0] dIn, dOutGood;
reg signed [DATA_WIDTH-1:0] yActual, diff;
integer i, match, near;
begin
for (i = 0 ; i < DATA_WIDTH ; i = i + 1) begin
dIn[i*DATA_WIDTH+:DATA_WIDTH] = u * $signed(i + 1);
dOutGood[i*DATA_WIDTH+:DATA_WIDTH] = yGood * $signed(i + 1);
end
@(posedge dataClk) begin
S_TDATA <= dIn;
S_TVALID <= 1;
end
while (!S_TREADY) #1;
@(posedge dataClk) begin
S_TDATA <= {DATA_COUNT*DATA_WIDTH{1'bx}};
S_TVALID <= 0;
end
while (!M_TVALID) @(posedge dataClk);
yActual = $signed(M_TDATA[DATA_WIDTH-1:0]);
if (M_TDATA == dOutGood) begin
match = 1;
near = 1;
end
else begin
match = 0;
diff = yGood - yActual;
if ($abs(diff) <= 4) begin
near = 1;
end
else begin
near = 0;
pass = 0;
end
end
$display("u:%d expect:%d got:%d dIn:%x dOutGood:%x dOut:%x %s", u, yGood,
yActual, dIn, dOutGood, M_TDATA,
match ? "PASS" : near ? "NEAR" : "FAIL");
@(posedge dataClk) ;
end
endtask
endmodule