Goulib.piecewise module

piecewise-defined functions

class Goulib.piecewise.Piecewise(init=[], default=0, period=(-inf, inf))

Bases: Goulib.expr.Expr

piecewise function defined by a sorted list of (startx, Expr)

__init__(init=[], default=0, period=(-inf, inf))

Parameters:f – function or operator, Expr to copy construct, or formula string

__len__()

__getitem__(i)

is_periodic()

__str__()

Return str(self).

__repr__()

Return repr(self).

latex()

Returns:string LaTex formula

index(x)

return index of piece

__call__(x)

returns value of Expr at point x

insort(x, v=None)

insert a point (or returns it if it already exists) note : method name follows bisect.insort convention

__iter__()

iterators through discontinuities. take the opportunity to delete redundant tuples

append(x, y=None)

appends a (x,y) piece. In fact inserts it at correct position

extend(iterable)

appends an iterable of (x,y) values

iapply(f, right)

apply function to self

apply(f, right=None)

apply function to copy of self

applx(f)

apply a function to each x value

__lshift__(dx)

__rshift__(dx)

__add__(right)

__and__(right)

__class__

alias of builtins.type

__delattr__

Implement delattr(self, name).

__dir__()

Default dir() implementation.

__div__(right)

__eq__(other)

Return self==value.

__float__()

__format__()

Default object formatter.

__ge__(other)

Return self>=value.

__getattribute__

Return getattr(self, name).

__gt__(other)

Return self>value.

__hash__ = None

__init_subclass__()

This method is called when a class is subclassed.

The default implementation does nothing. It may be overridden to extend subclasses.

__invert__()

__le__(other)

Return self<=value.

__lt__(other)

Return self<value.

__mul__(right)

__ne__(other)

Return self!=value.

__neg__()

__new__()

Create and return a new object. See help(type) for accurate signature.

__or__(right)

__pow__(right)

__reduce__()

Helper for pickle.

__reduce_ex__()

Helper for pickle.

__rmul__(right)

__setattr__

Implement setattr(self, name, value).

__sizeof__()

Size of object in memory, in bytes.

__sub__(right)

__truediv__(right)

__xor__(right)

complexity()

measures the complexity of Expr :return: int, sum of the precedence of used ops

html(**kwargs)

isNum

isconstant

Returns:True if Expr evaluates to a constant number or bool

plot(**kwargs)

renders on IPython Notebook (alias to make usage more straightforward)

png(**kwargs)

render(fmt='svg', **kwargs)

save(filename, **kwargs)

svg(**kwargs)

points(xmin=None, xmax=None)

Returns:x,y lists of float : points for a line plot