from amaranth import * from amaranth.sim import Simulator from amaranth.back import verilog from amaranth.lib.memory import Memory from src.convergent_round import convergentRound import matplotlib.pyplot as plt import numpy as np class sin_cos_lookup_32(Elaboratable): """ high precision 32bit sin/cos lookup, commonly used for convering wrapping signals such as encoders to a continuous signal for processing """ def __init__(self, tableSizePower = 8) -> None: """ tableSize: number of lookup values to store in memory, intermediate values are found through linear interpolation. must be a power of 2 """ self.tableSize = 2**tableSizePower self.tableSizePower = tableSizePower # ports self.dataIn = Signal(32) self.sinOut = Signal(shape=signed(32)) self.cosOut = Signal(shape=signed(32)) self.outputReady = Signal() self.ports = [ self.outputReady, self.dataIn, self.sinOut, self.cosOut, ] # internal signals self.oldDataIn = Signal(32) self.sinSign = Signal(shape=signed(2)) self.cosSign = Signal(shape=signed(2)) self.state = Signal(6) def elaborate(self, platform): m = Module() self.sinTable = [] for i in range(self.tableSize+1): # fill table with sin/cos values self.sinTable.append( int(np.ceil(np.sin(np.pi/2 * (i/(self.tableSize))) * 2**31-1)) | int(np.ceil(np.cos(np.pi/2 * (i/(self.tableSize))) * 2**31-1)) << 32) self.sinTable[0] = (2**31-1)<<32 m.submodules.sinTable = self.sinTableMemory = Memory(shape=signed(64), depth=self.tableSize+1, init=self.sinTable) self.readPort = self.sinTableMemory.read_port() self.readPort2 = self.sinTableMemory.read_port() with m.If((self.dataIn[-1]==0) & (self.dataIn[-2]==0)): # 0-25% m.d.comb += self.readPort.addr.eq(self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)) m.d.comb += self.readPort2.addr.eq(self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower) + 1) m.d.comb += self.sinSign.eq(1) m.d.comb += self.cosSign.eq(1) with m.Elif((self.dataIn[-1]==0) & (self.dataIn[-2]==1)): # 25-50% m.d.comb += self.readPort.addr.eq(self.tableSize - self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)) m.d.comb += self.readPort2.addr.eq(self.tableSize - self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)-1) m.d.comb += self.sinSign.eq(1) m.d.comb += self.cosSign.eq(-1) with m.Elif((self.dataIn[-1]==1) & (self.dataIn[-2]==0)): # 50-75% m.d.comb += self.readPort.addr.eq(self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)) m.d.comb += self.readPort2.addr.eq(self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower) + 1) m.d.comb += self.sinSign.eq(-1) m.d.comb += self.cosSign.eq(-1) with m.Elif((self.dataIn[-1]==1) & (self.dataIn[-2]==1)): # 75-100% m.d.comb += self.readPort.addr.eq(self.tableSize - self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)) m.d.comb += self.readPort2.addr.eq(self.tableSize - self.dataIn.bit_select(32 - 2 - self.tableSizePower, self.tableSizePower)-1) m.d.comb += self.sinSign.eq(-1) m.d.comb += self.cosSign.eq(1) m.d.sync += self.sinOut.eq(((self.readPort.data.bit_select(0, 32)*(~self.dataIn.bit_select(0, 32-1-self.tableSizePower-1)) + self.readPort2.data.bit_select(0, 32)*(self.dataIn.bit_select(0, 32-1-self.tableSizePower-1))).shift_right(32-1-self.tableSizePower-1)) * self.sinSign) m.d.sync += self.cosOut.eq(((self.readPort.data.bit_select(32, 32)*(~self.dataIn.bit_select(0, 32-1-self.tableSizePower-1)) + self.readPort2.data.bit_select(32, 32)*(self.dataIn.bit_select(0, 32-1-self.tableSizePower-1))).shift_right(32-1-self.tableSizePower-1)) * self.cosSign) return m clock = int(100e6) dut = sin_cos_lookup_32(10) ENCODER_COUNT = 2**16 times = [] sin = [] cos = [] inputs = [] idealSin = [] idealCos = [] sinError = [] cosError = [] async def sincosBench(ctx): for i in range(0, 2**32, 2**20): idealSin.append(np.sin(np.pi*2 * i/(2**32-1)) * 2**31-1) idealCos.append(np.cos(np.pi*2 * i/(2**32-1)) * 2**31-1) inputVal = i ctx.set(dut.dataIn, inputVal) await ctx.tick() x=1 while(not ctx.get(dut.outputReady) and x > 0): x -= 1 await ctx.tick() times.append(i) sin.append(ctx.get(dut.sinOut)) cos.append(ctx.get(dut.cosOut)) sinError.append(sin[-1] - idealSin[-1]) cosError.append(cos[-1] - idealCos[-1]) inputs.append(inputVal) if __name__ == "__main__": sim = Simulator(dut) sim.add_clock(1/clock) sim.add_testbench(sincosBench) with sim.write_vcd("sin_cos.vcd"): sim.run() # plt.plot(times, sin) # plt.plot(times, cos) # plt.plot(times, inputs) # plt.plot(times, idealSin) # plt.plot(times, idealCos) plt.plot(times, sinError) #plt.plot(times, cosError) 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))