import sys import numpy as np import scipy.signal as sig isqrt2 = 1/np.sqrt(2) tau = 2*np.pi def dummy(*args, **kwargs): return None def lament(*args, **kwargs): return print(*args, file=sys.stderr, **kwargs) def toLK(x): return -0.691 + 10*np.log10(x) def toQ(bw): return isqrt2/bw def toA(db): return 10**(db/40) def unwarp(w): return np.tan(w/2) def warp(w): return np.arctan(w)*2 def ceil2(x): x = int(x) assert x > 0 return 2**(x - 1).bit_length() def pad2(x): return np.r_[x, np.zeros(ceil2(len(x)) - len(x), x.dtype)] def magnitude(src, size, broken=True): if broken: lament("magnitude(broken=True): DEPRECATED") return 10*np.log10(np.abs(np.fft.rfft(src, 2 * size))**2)[:size] else: return 10*np.log10(np.abs(np.fft.rfft(src, size))**2)[1:] # x axis for plotting above magnitude def magnitude_x(srate, size, broken=True): if broken: lament("magnitude_x(broken=True): DEPRECATED") return np.arange(0, srate/2, srate/2/size) else: return np.arange(1, size // 2 + 1) / (size // 2) * (srate / 2) def degrees_clamped(x): return ((x*180/np.pi + 180) % 360) - 180 def xsp(precision=4096): """ create #precision log-spaced points from 20 Hz (inclusive) to 20480 Hz (exclusive) """ xs = np.arange(0, precision)/precision return 20*1024**xs def blocks(a, step, size=None): """break an array into chunks""" if size is None: size = step for start in range(0, len(a), step): end = start + size if end > len(a): break yield a[start:end] def convolve_each(s, fir, mode='same', axis=0): return np.apply_along_axis( lambda s: sig.fftconvolve(s, fir, mode), axis, s) def count_channels(s): if s.ndim < 2: return 1 return s.shape[1] def monoize(s): """mixes an n-channel signal down to one channel. technically, it averages a 2D array to be 1D. existing mono signals are passed through unmodified.""" channels = count_channels(s) if channels != 1: s = np.average(s, axis=1) return s def div0(a, b): """division, whereby division by zero equals zero""" # http://stackoverflow.com/a/35696047 a = np.asanyarray(a) b = np.asanyarray(b) with np.errstate(divide='ignore', invalid='ignore'): c = np.true_divide(a, b) c[~np.isfinite(c)] = 0 # -inf inf NaN return c