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# This module is for compatibility only. All functions are defined elsewhere. __all__ = ['rand', 'tril', 'trapz', 'hanning', 'rot90', 'triu', 'diff', 'angle', 'roots', 'ptp', 'kaiser', 'randn', 'cumprod', 'diag', 'msort', 'LinearAlgebra', 'RandomArray', 'prod', 'std', 'hamming', 'flipud', 'max', 'blackman', 'corrcoef', 'bartlett', 'eye', 'squeeze', 'sinc', 'tri', 'cov', 'svd', 'min', 'median', 'fliplr', 'eig', 'mean'] import numpy.oldnumeric.linear_algebra as LinearAlgebra import numpy.oldnumeric.random_array as RandomArray from numpy import tril, trapz as _Ntrapz, hanning, rot90, triu, diff, \ angle, roots, ptp as _Nptp, kaiser, cumprod as _Ncumprod, \ diag, msort, prod as _Nprod, std as _Nstd, hamming, flipud, \ amax as _Nmax, amin as _Nmin, blackman, bartlett, \ squeeze, sinc, median, fliplr, mean as _Nmean, transpose from numpy.linalg import eig, svd from numpy.random import rand, randn import numpy as np from typeconv import convtypecode def eye(N, M=None, k=0, typecode=None, dtype=None): """ eye returns a N-by-M 2-d array where the k-th diagonal is all ones, and everything else is zeros. """ dtype = convtypecode(typecode, dtype) if M is None: M = N m = np.equal(np.subtract.outer(np.arange(N), np.arange(M)),-k) if m.dtype != dtype: return m.astype(dtype) def tri(N, M=None, k=0, typecode=None, dtype=None): """ returns a N-by-M array where all the diagonals starting from lower left corner up to the k-th are all ones. """ dtype = convtypecode(typecode, dtype) if M is None: M = N m = np.greater_equal(np.subtract.outer(np.arange(N), np.arange(M)),-k) if m.dtype != dtype: return m.astype(dtype) def trapz(y, x=None, axis=-1): return _Ntrapz(y, x, axis=axis) def ptp(x, axis=0): return _Nptp(x, axis) def cumprod(x, axis=0): return _Ncumprod(x, axis) def max(x, axis=0): return _Nmax(x, axis) def min(x, axis=0): return _Nmin(x, axis) def prod(x, axis=0): return _Nprod(x, axis) def std(x, axis=0): N = asarray(x).shape[axis] return _Nstd(x, axis)*sqrt(N/(N-1.)) def mean(x, axis=0): return _Nmean(x, axis) # This is exactly the same cov function as in MLab def cov(m, y=None, rowvar=0, bias=0): if y is None: y = m else: y = y if rowvar: m = transpose(m) y = transpose(y) if (m.shape[0] == 1): m = transpose(m) if (y.shape[0] == 1): y = transpose(y) N = m.shape[0] if (y.shape[0] != N): raise ValueError("x and y must have the same number of observations") m = m - _Nmean(m,axis=0) y = y - _Nmean(y,axis=0) if bias: fact = N*1.0 else: fact = N-1.0 return squeeze(dot(transpose(m), conjugate(y)) / fact) from numpy import sqrt, multiply def corrcoef(x, y=None): c = cov(x, y) d = diag(c) return c/sqrt(multiply.outer(d,d)) from compat import * from functions import * from precision import * from ufuncs import * from misc import * import compat import precision import functions import misc import ufuncs import numpy __version__ = numpy.__version__ del numpy __all__ += ['__version__'] __all__ += compat.__all__ __all__ += precision.__all__ __all__ += functions.__all__ __all__ += ufuncs.__all__ __all__ += misc.__all__ del compat del functions del precision del ufuncs del misc