125 lines
3.4 KiB
Python
Executable File
125 lines
3.4 KiB
Python
Executable File
#!/usr/bin/python3
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from math import sin, cos, pi, sqrt
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import plotly.graph_objs as go
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from plotly.subplots import make_subplots
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from FFT import FFT_real
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from FP_trigonometry import *
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INP_L = 1024
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F_nyquist = INP_L//2
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def abs_f(re, im):
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return sqrt(re*re + im*im)
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def DFT_naive(inp, out):
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for f in range(len(out)):
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val_re = 0
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val_im = 0
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for n in range(len(inp)):
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phi = 2*pi*f*n/INP_L
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val_re += inp[n] * sin(phi) /INP_L
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val_im += inp[n] * cos(phi) /INP_L
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val_abs = abs_f(val_re, val_im)
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#print("F, val_abs:",f, val_abs)
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out[f] = val_abs
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def DFT_naive_FP(inp_float, out):
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inp = [val*FP_acc for val in inp_float]
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for f in range(len(out)):
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val_re = 0
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val_im = 0
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for n in range(len(inp)):
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phi = 2*pi_FP*f*n/INP_L
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phi_sin = sin_FP(phi)
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phi_cos = cos_FP(phi)
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#print(phi, phi_sin, phi_cos)
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val_re += inp[n] * phi_sin /INP_L
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val_im += inp[n] * phi_cos /INP_L
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val_abs = abs_FP(val_re, val_im)
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#print("F, val_abs:",f, val_abs)
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out[f] = val_abs
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def FFT_naive(inp, out):
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fft_out = FFT_real(inp)
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for i in range(len(fft_out)):
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val = fft_out[i]/len(inp)
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if (i < len(out)):
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out[i] = val
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else:
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pass
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#out.append(val)
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def FFT_tester():
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inp = [-1 + 0.01*i + sin(2*pi*i/10) + cos(2*pi*i/20) + sin(2*pi*i/250) + sin(2*pi*i/2.001) for i in range(INP_L)]
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# inp = [sin(2*pi*i/2.001)for i in range(INP_L)]
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out_DFT = [0 for i in range(F_nyquist + 1)]
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out_FFT = [0 for val in range(F_nyquist + 1)]
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DFT_naive(inp, out_DFT)
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FFT_naive(inp, out_FFT)
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Fourier_error = []
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for a,b in zip(out_FFT, out_DFT):
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Fourier_error.append(a - b)
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chart = make_subplots(rows=3, cols=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(inp))], y=inp, name="inp", mode="markers+lines"), row=1, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(out_DFT))], y=out_DFT, name="out_DFT", mode="markers+lines"), row=2, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(out_FFT))], y=out_FFT, name="out_FFT", mode="markers+lines"), row=2, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(Fourier_error))], y=Fourier_error, name="error", mode="markers+lines"), row=3, col=1)
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chart.update_xaxes(matches="x2", row=3, col=1)
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chart.show()
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def DFT_tester():
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inp = [-1 + 0.01*i + sin(2*pi*i/10) + cos(2*pi*i/20) + sin(2*pi*i/250) + sin(2*pi*i/2.001) for i in range(INP_L)]
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# inp = [sin(2*pi*i/2.001)for i in range(INP_L)]
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out_float = [0 for i in range(F_nyquist + 1)]
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out_FP = [0 for val in out_float]
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DFT_naive(inp, out_float)
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DFT_naive_FP(inp, out_FP)
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FP_error = []
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for a,b in zip(out_float, out_FP):
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FP_error.append(a - b/FP_acc)
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chart = make_subplots(rows=3, cols=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(inp))], y=inp, name="inp", mode="markers+lines"), row=1, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(out_float))], y=out_float, name="out_float", mode="markers+lines"), row=2, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(out_FP))], y=[val/FP_acc for val in out_FP], name="out_FP", mode="markers+lines"), row=2, col=1)
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chart.add_trace(go.Scatter(x=[i for i in range(len(out_FP))], y=FP_error, name="FP_error", mode="markers+lines"), row=3, col=1)
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chart.update_xaxes(matches="x2", row=3, col=1)
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chart.show()
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if __name__ == "__main__":
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#main()
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# DFT_tester()
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FFT_tester()
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#sin_tester()
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