ulab: update
.. add new modules and functions to our shared-bindings stubs
This commit is contained in:
Jeff Epler
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Subproject commit cf61d728e70b9ec57e5711b40540793a89296f5d
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Subproject commit cbdd1295c11e9b810a2712ac5bdfd51381967bf0
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"""Numerical approximation methods"""
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def bisect(fun, a, b, *, xtol=2.4e-7, maxiter=100) -> float:
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"""
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:param callable f: The function to bisect
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:param float a: The left side of the interval
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:param float b: The right side of the interval
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:param float xtol: The tolerance value
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:param float maxiter: The maximum number of iterations to perform
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Find a solution (zero) of the function ``f(x)`` on the interval
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(``a``..``b``) using the bisection method. The result is accurate to within
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``xtol`` unless more than ``maxiter`` steps are required."""
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...
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def newton(fun, x0, *, xtol=2.4e-7, rtol=0.0, maxiter=50) -> float:
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"""
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:param callable f: The function to bisect
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:param float x0: The initial x value
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:param float xtol: The absolute tolerance value
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:param float rtol: The relative tolerance value
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:param float maxiter: The maximum number of iterations to perform
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Find a solution (zero) of the function ``f(x)`` using Newton's Method.
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The result is accurate to within ``xtol * rtol * |f(x)|`` unless more than
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``maxiter`` steps are requried."""
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...
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def fmin(fun, x0, *, xatol=2.4e-7, fatol=2.4e-7, maxiter=200) -> float:
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"""
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:param callable f: The function to bisect
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:param float x0: The initial x value
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:param float xatol: The absolute tolerance value
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:param float fatol: The relative tolerance value
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Find a minimum of the function ``f(x)`` using the downhill simplex method.
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The located ``x`` is within ``fxtol`` of the actual minimum, and ``f(x)``
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is within ``fatol`` of the actual minimum unless more than ``maxiter``
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steps are requried."""
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...
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def interp(x: ulab.array, xp:ulab.array, fp:ulab.array, *, left=None, right=None) -> ulab.array:
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"""
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:param ulab.array x: The x-coordinates at which to evaluate the interpolated values.
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:param ulab.array xp: The x-coordinates of the data points, must be increasing
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:param ulab.array fp: The y-coordinates of the data points, same length as xp
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:param left: Value to return for ``x < xp[0]``, default is ``fp[0]``.
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:param right: Value to return for ``x > xp[-1]``, default is ``fp[-1]``.
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Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x."""
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...
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@ -28,3 +28,11 @@ def minimum(x1, x2):
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must be the same size. If the inputs are both scalars, a number is
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returned"""
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...
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def equal(x1, x2):
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"""Return an array of bool which is true where x1[i] == x2[i] and false elsewhere"""
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...
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def not_equal(x1, x2):
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"""Return an array of bool which is false where x1[i] == x2[i] and true elsewhere"""
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...
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@ -5,104 +5,114 @@ applying the function to every element in the array. This is typically
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much more efficient than expressing the same operation as a Python loop."""
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def acos():
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"""Computes the inverse cosine function"""
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...
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"""Computes the inverse cosine function"""
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...
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def acosh():
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"""Computes the inverse hyperbolic cosine function"""
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...
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"""Computes the inverse hyperbolic cosine function"""
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...
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def asin():
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"""Computes the inverse sine function"""
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...
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"""Computes the inverse sine function"""
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...
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def asinh():
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"""Computes the inverse hyperbolic sine function"""
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...
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"""Computes the inverse hyperbolic sine function"""
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...
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def around(a, *, decimals):
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"""Returns a new float array in which each element is rounded to
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``decimals`` places."""
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...
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"""Returns a new float array in which each element is rounded to
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``decimals`` places."""
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...
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def atan():
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"""Computes the inverse tangent function; the return values are in the
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range [-pi/2,pi/2]."""
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...
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"""Computes the inverse tangent function; the return values are in the
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range [-pi/2,pi/2]."""
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...
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def atan2(y,x):
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"""Computes the inverse tangent function of y/x; the return values are in
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the range [-pi, pi]."""
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...
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"""Computes the inverse tangent function of y/x; the return values are in
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the range [-pi, pi]."""
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...
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def atanh():
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"""Computes the inverse hyperbolic tangent function"""
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...
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"""Computes the inverse hyperbolic tangent function"""
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...
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def ceil():
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"""Rounds numbers up to the next whole number"""
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...
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"""Rounds numbers up to the next whole number"""
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...
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def cos():
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"""Computes the cosine function"""
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...
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"""Computes the cosine function"""
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...
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def erf():
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"""Computes the error function, which has applications in statistics"""
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...
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"""Computes the error function, which has applications in statistics"""
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...
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def erfc():
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"""Computes the complementary error function, which has applications in statistics"""
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...
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"""Computes the complementary error function, which has applications in statistics"""
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...
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def exp():
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"""Computes the exponent function."""
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...
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"""Computes the exponent function."""
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...
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def expm1():
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"""Computes $e^x-1$. In certain applications, using this function preserves numeric accuracy better than the `exp` function."""
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...
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"""Computes $e^x-1$. In certain applications, using this function preserves numeric accuracy better than the `exp` function."""
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...
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def floor():
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"""Rounds numbers up to the next whole number"""
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...
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"""Rounds numbers up to the next whole number"""
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...
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def gamma():
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"""Computes the gamma function"""
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...
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"""Computes the gamma function"""
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...
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def lgamma():
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"""Computes the natural log of the gamma function"""
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...
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"""Computes the natural log of the gamma function"""
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...
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def log():
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"""Computes the natural log"""
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...
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"""Computes the natural log"""
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...
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def log10():
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"""Computes the log base 10"""
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...
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"""Computes the log base 10"""
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...
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def log2():
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"""Computes the log base 2"""
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...
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"""Computes the log base 2"""
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...
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def sin():
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"""Computes the sine"""
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...
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"""Computes the sine"""
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...
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def sinh():
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"""Computes the hyperbolic sine"""
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...
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"""Computes the hyperbolic sine"""
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...
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def sqrt():
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"""Computes the square root"""
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...
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"""Computes the square root"""
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...
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def tan():
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"""Computes the tangent"""
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...
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"""Computes the tangent"""
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...
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def tanh():
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"""Computes the hyperbolic tangent"""
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...
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"""Computes the hyperbolic tangent"""
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...
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def vectorise(f, *, otypes=None):
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"""
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:param callable f: The function to wrap
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:param otypes: List of array types that may be returned by the function. None is intepreted to mean the return value is float.
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Wrap a Python function `f` so that it can be applied to arrays.
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The callable must return only values of the types specified by otypes, or the result is undefined."""
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...
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