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Parameters used in test and benchmark methods.

Collections of test cases suitable for testing 1-D root-finders
  'original': The original benchmarking functions.
     Real-valued functions of real-valued inputs on an interval
     with a zero.
     f1, .., f3 are continuous and infinitely differentiable
     f4 has a left- and right- discontinuity at the root
     f5 has a root at 1 replacing a 1st order pole
     f6 is randomly positive on one side of the root,
     randomly negative on the other.
     f4 - f6 are not continuous at the root.

  'aps': The test problems in the 1995 paper
     TOMS "Algorithm 748: Enclosing Zeros of Continuous Functions"
     by Alefeld, Potra and Shi. Real-valued functions of
     real-valued inputs on an interval with a zero.
     Suitable for methods which start with an enclosing interval, and
     derivatives up to 2nd order.

  'complex': Some complex-valued functions of complex-valued inputs.
     No enclosing bracket is provided.
     Suitable for methods which use one or more starting values, and
     derivatives up to 2nd order.

  The test cases are provided as a list of dictionaries. The dictionary
  keys will be a subset of:
  ["f", "fprime", "fprime2", "args", "bracket", "smoothness",
  "a", "b", "x0", "x1", "root", "ID"]
�)�randomN)�	_zeros_pya
f2 is a symmetric parabola, x**2 - 1
f3 is a quartic polynomial with large hump in interval
f4 is step function with a discontinuity at 1
f5 is a hyperbola with vertical asymptote at 1
f6 has random values positive to left of 1, negative to right

Of course, these are not real problems. They just test how the
'good' solvers behave in bad circumstances where bisection is
really the best. A good solver should not be much worse than
bisection in such circumstance, while being faster for smooth
monotone sorts of functions.
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Youez - 2016 - github.com/yon3zu
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