from amaranth import * from amaranth.sim import Simulator from amaranth.back import verilog from src.convergent_round import convergentRound import matplotlib.pyplot as plt class biquad_32(Elaboratable): """ high precision 32bit biquad IIR filter """ def __init__(self, signed_, constrainOutput_) -> None: """ signed: if true, use 32bit signed values for the input and output constrainOutput: force the output to be within the output range. Certain step inputs and coeff settings may cause the internal output value to exceed the output range, without counstrainOutput, the value will be left to wrap, but will exhibit the unchanged filter response """ self.signed = signed_ self.constrainOutput = constrainOutput_ # ports self.update = Signal() if(self.signed): self.input = Signal(shape=signed(32)) self.output = Signal(shape=signed(32)) else: self.input = Signal(32) self.output = Signal(32) self.updateDone = Signal() self.zeroCoeff_0 = Signal(shape=signed(36)) self.zeroCoeff_1 = Signal(shape=signed(36)) self.zeroCoeff_2 = Signal(shape=signed(36)) self.poleCoeff_1 = Signal(shape=signed(36)) self.poleCoeff_2 = Signal(shape=signed(36)) self.ports = [ self.update, self.updateDone, self.input, self.output, self.zeroCoeff_0, self.zeroCoeff_1, self.zeroCoeff_2, self.poleCoeff_1, self.poleCoeff_2 ] # internal signals self.dn_0 = Signal(shape=signed(48)) self.dn_1 = Signal(shape=signed(48)) self.zeroAccum = Signal(shape=signed(48*2)) self.poleAccum = Signal(shape=signed(48*2)) self.state = Signal(range(5)) self.inputPrescaler = 2**32 def elaborate(self, platform): m = Module() m.submodules.inputRound = self.inputRound = convergentRound(96, 96-32) m.submodules.outputRound = self.outputRound = convergentRound(96, 96-32) with m.If(self.update & self.state == 0): m.d.comb += self.inputRound.input.eq(self.inputPrescaler * self.input - self.dn_0 * self.poleCoeff_1 - self.dn_1 * self.poleCoeff_2) m.d.sync += self.state.eq(1) m.d.sync += self.updateDone.eq(0) with m.If(self.state == 1): m.d.sync += self.state.eq(2) m.d.comb += self.outputRound.input.eq(self.inputRound.output * self.zeroCoeff_0 + self.dn_0 * self.zeroCoeff_1 + self.dn_1 * self.zeroCoeff_2) m.d.sync += self.dn_0.eq(self.inputRound.output) m.d.sync += self.dn_1.eq(self.dn_0) with m.If(self.state == 2): if(self.constrainOutput): with m.If(self.outputRound.output >= 2**32): m.d.sync += self.output.eq(2**32-1) with m.Elif(self.outputRound.output < 0): m.d.sync += self.output.eq(0) with m.Else(): m.d.sync += self.output.eq(self.outputRound.output) else: m.d.sync += self.output.eq(self.outputRound.output) m.d.sync += self.updateDone.eq(1) m.d.sync += self.state.eq(Mux(self.update, 2, 0)) return m clock = int(100e6) dut = biquad_32(False, True) ENCODER_COUNT = 2**16 times = [] filteredPos = [] realEncoder = [] integerEncoder = [] async def biquadBench(ctx): ctx.set(dut.zeroCoeff_0, int(0.00003536167187236639 * 2**32)) ctx.set(dut.zeroCoeff_1, int(0.00007072334374473279 * 2**32)) ctx.set(dut.zeroCoeff_2, int(0.00003536167187236639 * 2**32)) ctx.set(dut.poleCoeff_1, int(-1.9848607704104781 * 2**32)) ctx.set(dut.poleCoeff_2, int(0.9850022170979679 * 2**32)) encoderCountReal = 0.0 encoderCountInteger = 0 for i in range(4000): # update encoder encoderCountReal += 2**2 encoderCountInteger = round(encoderCountReal, 0) if(encoderCountInteger > ENCODER_COUNT-1): encoderCountInteger -= ENCODER_COUNT encoderCountReal -= ENCODER_COUNT elif(encoderCountInteger < 0): encoderCountInteger += ENCODER_COUNT encoderCountReal += ENCODER_COUNT # if(i == 200): # encoderCountReal += ENCODER_COUNT -50 # if(i == 400): # encoderCountReal += ENCODER_COUNT -50 ctx.set(dut.input, int(int(encoderCountInteger) * (2**32 / ENCODER_COUNT))) ctx.set(dut.update, 1) await ctx.tick() ctx.set(dut.update, 0) while(not ctx.get(dut.updateDone)): await ctx.tick() times.append(i) filteredPos.append(ctx.get(dut.output)) realEncoder.append(encoderCountReal * (2**32 / ENCODER_COUNT)) integerEncoder.append(int(encoderCountInteger) * (2**32 / ENCODER_COUNT)) if __name__ == "__main__": sim = Simulator(dut) sim.add_clock(1/clock) sim.add_testbench(biquadBench) with sim.write_vcd("biquad_32.vcd"): sim.run() plt.plot(times, filteredPos) plt.plot(times, realEncoder) plt.plot(times, integerEncoder) plt.show() # if (True): # export # top = biquad_32(int(100e6)) # with open("controller-firmware/src/amaranth sources/biquad_32.v", "w") as f: # f.write(verilog.convert(top, name="biquad_32", ports=top.ports))