Index

_

__abs__() (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __add__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __complex__() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __eq__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __float__() (arctans.arctans.AbstractTerm method) (arctans.arctans.Zero method) (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __floordiv__() (arctans.numbers.AbstractNumber method) __ge__() (arctans.numbers.RealNumber method) __gt__() (arctans.numbers.RealNumber method) __hash__() (arctans.arctans.AbstractTerm method) (arctans.core.Representable method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.Integer method) __iadd__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __imul__() (arctans.numbers.AbstractNumber method) __int__() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __isub__() (arctans.numbers.AbstractNumber method) __le__() (arctans.numbers.RealNumber method) __lt__() (arctans.numbers.RealNumber method) __mod__() (arctans.numbers.AbstractNumber method) __mul__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __neg__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __pow__() (arctans.numbers.AbstractNumber method) __radd__() (arctans.numbers.AbstractNumber method) __repr__() (arctans.arctans.Arctan method) (arctans.arctans.ArctanSum method) (arctans.arctans.Zero method) (arctans.core.Representable method) (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __rfloordiv__() (arctans.numbers.AbstractNumber method) __rmod__() (arctans.numbers.AbstractNumber method) __rmul__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __rpow__() (arctans.numbers.AbstractNumber method) __rsub__() (arctans.numbers.AbstractNumber method) __rtruediv__() (arctans.numbers.AbstractNumber method) __str__() (arctans.arctans.Arctan method) (arctans.arctans.ArctanSum method) (arctans.arctans.Zero method) (arctans.core.Representable method) (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) __sub__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method) __truediv__() (arctans.arctans.AbstractTerm method) (arctans.numbers.AbstractNumber method)

__version__ (in module arctans) _add() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _arctan (arctans.arctans.Arctan attribute) _as_common_type() (in module arctans.numbers) _convert_rational_single_arctan() (in module arctans.reduction) _den (arctans.numbers.Rational attribute) (arctans.Rational attribute) _eq() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _floordiv() (arctans.GaussianInteger method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.Integer method) _format_single_atan() (in module arctans.arctans) _i (arctans.Integer attribute) (arctans.numbers.Integer attribute) _im (arctans.GaussianInteger attribute) (arctans.numbers.GaussianInteger attribute) _im_den (arctans.GaussianRational attribute) (arctans.numbers.GaussianRational attribute) _im_num (arctans.GaussianRational attribute) (arctans.numbers.GaussianRational attribute) _mod() (arctans.GaussianInteger method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.Integer method) _mul() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _num (arctans.numbers.Rational attribute) (arctans.Rational attribute) _pow() (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _re (arctans.GaussianInteger attribute) (arctans.numbers.GaussianInteger attribute) _re_den (arctans.GaussianRational attribute) (arctans.numbers.GaussianRational attribute) _re_num (arctans.GaussianRational attribute) (arctans.numbers.GaussianRational attribute) _reduce_single_arctan() (in module arctans.reduction) _simplify_type() (in module arctans.numbers) _sub() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _terms (arctans.arctans.ArctanSum attribute) _to_same_type() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method) _truediv() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method)

A

AbstractNumber (class in arctans.numbers) AbstractTerm (class in arctans.arctans) arccotan() (in module arctans) (in module arctans.arctans) Arctan (class in arctans.arctans) arctan() (in module arctans) (in module arctans.arctans) arctans module arctans.arctans module arctans.core module arctans.generation module arctans.numbers module

arctans.primes module arctans.reduction module ArctanSum (class in arctans.arctans) as_latex() (arctans.arctans.Arctan method) (arctans.arctans.ArctanSum method) (arctans.arctans.Zero method) (arctans.core.Representable method) (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.Integer method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.Integer method) (arctans.numbers.Rational method) (arctans.Rational method)

C

complex_factorise() (in module arctans.primes) conjugate() (arctans.GaussianInteger method) (arctans.GaussianRational method) (arctans.numbers.AbstractNumber method) (arctans.numbers.GaussianInteger method) (arctans.numbers.GaussianRational method) (arctans.numbers.RealNumber method)

convert_rational() (in module arctans) (in module arctans.reduction)

D

denominator (arctans.GaussianInteger property) (arctans.GaussianRational property) (arctans.Integer property) (arctans.numbers.AbstractNumber property) (arctans.numbers.GaussianInteger property) (arctans.numbers.GaussianRational property) (arctans.numbers.Integer property) (arctans.numbers.Rational property) (arctans.Rational property)

G

GaussianInteger (class in arctans) (class in arctans.numbers) GaussianRational (class in arctans) (class in arctans.numbers)

generate() (in module arctans) (in module arctans.generation)

I

imag (arctans.GaussianInteger property) (arctans.GaussianRational property) (arctans.numbers.AbstractNumber property) (arctans.numbers.GaussianInteger property) (arctans.numbers.GaussianRational property) (arctans.numbers.RealNumber property)

Integer (class in arctans) (class in arctans.numbers) is_gaussian_prime() (in module arctans.primes) is_gaussian_unit() (in module arctans.primes) is_irreducible() (in module arctans) (in module arctans.primes) is_prime() (in module arctans.primes)

J

j (in module arctans) (in module arctans.numbers)

L

largest_pfactor() (in module arctans.primes)

M

module arctans arctans.arctans arctans.core arctans.generation arctans.numbers arctans.primes arctans.reduction

N

nterms (arctans.arctans.AbstractTerm property) numerator (arctans.GaussianInteger property) (arctans.GaussianRational property) (arctans.Integer property) (arctans.numbers.AbstractNumber property) (arctans.numbers.GaussianInteger property) (arctans.numbers.GaussianRational property) (arctans.numbers.Integer property) (arctans.numbers.Rational property) (arctans.Rational property)

O

one (in module arctans) (in module arctans.numbers)

P

pfactors() (in module arctans.primes)

primes (in module arctans.primes)

R

Rational (class in arctans) (class in arctans.numbers) real (arctans.GaussianInteger property) (arctans.GaussianRational property) (arctans.numbers.AbstractNumber property) (arctans.numbers.GaussianInteger property) (arctans.numbers.GaussianRational property) (arctans.numbers.RealNumber property)

RealNumber (class in arctans.numbers) reduce() (in module arctans) (in module arctans.reduction) Representable (class in arctans.core)

T

term_dict (arctans.arctans.AbstractTerm property) (arctans.arctans.Arctan property) (arctans.arctans.ArctanSum property) (arctans.arctans.Zero property)

terms (arctans.arctans.AbstractTerm property) (arctans.arctans.Arctan property) (arctans.arctans.ArctanSum property) (arctans.arctans.Zero property)

Z

Zero (class in arctans.arctans)

zero (in module arctans) (in module arctans.numbers)