"""Element-by-element functions These functions can operate on numbers, 1-D arrays, or 2-D arrays by applying the function to every element in the array. This is typically much more efficient than expressing the same operation as a Python loop.""" def acos(): """Computes the inverse cosine function""" ... def acosh(): """Computes the inverse hyperbolic cosine function""" ... def asin(): """Computes the inverse sine function""" ... def asinh(): """Computes the inverse hyperbolic sine function""" ... def around(a, *, decimals): """Returns a new float array in which each element is rounded to ``decimals`` places.""" ... def atan(): """Computes the inverse tangent function; the return values are in the range [-pi/2,pi/2].""" ... def atan2(y,x): """Computes the inverse tangent function of y/x; the return values are in the range [-pi, pi].""" ... def atanh(): """Computes the inverse hyperbolic tangent function""" ... def ceil(): """Rounds numbers up to the next whole number""" ... def cos(): """Computes the cosine function""" ... def erf(): """Computes the error function, which has applications in statistics""" ... def erfc(): """Computes the complementary error function, which has applications in statistics""" ... def exp(): """Computes the exponent function.""" ... def expm1(): """Computes $e^x-1$. In certain applications, using this function preserves numeric accuracy better than the `exp` function.""" ... def floor(): """Rounds numbers up to the next whole number""" ... def gamma(): """Computes the gamma function""" ... def lgamma(): """Computes the natural log of the gamma function""" ... def log(): """Computes the natural log""" ... def log10(): """Computes the log base 10""" ... def log2(): """Computes the log base 2""" ... def sin(): """Computes the sine""" ... def sinh(): """Computes the hyperbolic sine""" ... def sqrt(): """Computes the square root""" ... def tan(): """Computes the tangent""" ... def tanh(): """Computes the hyperbolic tangent""" ... def vectorize(f, *, otypes=None): """ :param callable f: The function to wrap :param otypes: List of array types that may be returned by the function. None is intepreted to mean the return value is float. Wrap a Python function ``f`` so that it can be applied to arrays. The callable must return only values of the types specified by otypes, or the result is undefined.""" ...