PyClical Namespace Reference

Classes
class	clifford
class	index_set

Functions
def	index_set_hidden_doctests ()
def	clifford_hidden_doctests ()
def	e (obj)
def	istpq (p, q)
def	_test ()

Variables
string	__version__ = "0.8.4"
	obj
	i
	ixt
	fill
	scalar_epsilon = epsilon
float	pi = atan(clifford(1.0)) * 4.0
float	tau = atan(clifford(1.0)) * 8.0
	cl = clifford
	ist = index_set
def	ninf3 = e(4) + e(-1)
def	nbar3 = e(4) - e(-1)

Function Documentation

_test()

def PyClical._test ( )

private

Definition at line 1912 of file PyClical.pyx.

clifford_hidden_doctests()

def PyClical.clifford_hidden_doctests

(

)

Tests for functions that Doctest cannot see.

For clifford.__cinit__: Construct an object of type clifford.

>>> print(clifford(2))
2
>>> print(clifford(2.0))
2
>>> print(clifford(1.0e-1))
0.1
>>> print(clifford("2"))
2
>>> print(clifford("2{1,2,3}"))
2{1,2,3}
>>> print(clifford(clifford("2{1,2,3}")))
2{1,2,3}
>>> print(clifford("-{1}"))
-{1}
>>> print(clifford(2,index_set({1,2})))
2{1,2}
>>> print(clifford([2,3],index_set({1,2})))
2{1}+3{2}
>>> print(clifford([1,2]))
Traceback (most recent call last):
  ...
TypeError: Cannot initialize clifford object from <class 'list'>.
>>> print(clifford(None))
Traceback (most recent call last):
  ...
TypeError: Cannot initialize clifford object from <class 'NoneType'>.
>>> print(clifford(None,[1,2]))
Traceback (most recent call last):
  ...
TypeError: Cannot initialize clifford object from (<class 'NoneType'>, <class 'list'>).
>>> print(clifford([1,2],[1,2]))
Traceback (most recent call last):
  ...
TypeError: Cannot initialize clifford object from (<class 'list'>, <class 'list'>).
>>> print(clifford(""))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string ''.
>>> print(clifford("{"))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string '{'.
>>> print(clifford("{1"))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string '{1'.
>>> print(clifford("+"))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string '+'.
>>> print(clifford("-"))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string '-'.
>>> print(clifford("{1}+"))
Traceback (most recent call last):
  ...
ValueError: Cannot initialize clifford object from invalid string '{1}+'.

For clifford.__richcmp__: Compare objects of type clifford.

>>> clifford("{1}") == clifford("1{1}")
True
>>> clifford("{1}") != clifford("1.0{1}")
False
>>> clifford("{1}") != clifford("1.0")
True
>>> clifford("{1,2}") == None
False
>>> clifford("{1,2}") != None
True
>>> None == clifford("{1,2}")
False
>>> None != clifford("{1,2}")
True

Definition at line 1244 of file PyClical.pyx.

e()

def PyClical.e

(

obj

)

Abbreviation for clifford(index_set(obj)).

>>> print(e(1))
{1}
>>> print(e(-1))
{-1}
>>> print(e(0))
1

Definition at line 1886 of file PyClical.pyx.

Referenced by glucat::matrix_multi< Scalar_T, LO, HI >.basis_element(), clifford_to_str(), glucat::framed_multi< Scalar_T, LO, HI >.framed_multi(), glucat::matrix_multi< Scalar_T, LO, HI >.matrix_multi(), and glucat.try_catch().

index_set_hidden_doctests()

def PyClical.index_set_hidden_doctests

(

)

Tests for functions that Doctest cannot see.

For index_set.__cinit__: Construct index_set.

>>> print(index_set(1))
{1}
>>> print(index_set({1,2}))
{1,2}
>>> print(index_set(index_set({1,2})))
{1,2}
>>> print(index_set({1,2}))
{1,2}
>>> print(index_set({1,2,1}))
{1,2}
>>> print(index_set({1,2,1}))
{1,2}
>>> print(index_set(""))
{}
>>> print(index_set("{"))
Traceback (most recent call last):
...
ValueError: Cannot initialize index_set object from invalid string '{'.
>>> print(index_set("{1"))
Traceback (most recent call last):
...
ValueError: Cannot initialize index_set object from invalid string '{1'.
>>> print(index_set("{1,2,100}"))
Traceback (most recent call last):
...
ValueError: Cannot initialize index_set object from invalid string '{1,2,100}'.
>>> print(index_set({1,2,100}))
Traceback (most recent call last):
...
IndexError: Cannot initialize index_set object from invalid {1, 2, 100}.
>>> print(index_set([1,2]))
Traceback (most recent call last):
...
TypeError: Cannot initialize index_set object from <class 'list'>.

For index_set.__richcmp__: Compare two objects of class index_set.

>>> index_set(1) == index_set({1})
True
>>> index_set({1}) != index_set({1})
False
>>> index_set({1}) != index_set({2})
True
>>> index_set({1}) == index_set({2})
False
>>> index_set({1}) < index_set({2})
True
>>> index_set({1}) <= index_set({2})
True
>>> index_set({1}) > index_set({2})
False
>>> index_set({1}) >= index_set({2})
False
>>> None == index_set({1,2})
False
>>> None != index_set({1,2})
True
>>> None < index_set({1,2})
False
>>> None <= index_set({1,2})
False
>>> None > index_set({1,2})
False
>>> None >= index_set({1,2})
False
>>> index_set({1,2}) == None
False
>>> index_set({1,2}) != None
True
>>> index_set({1,2}) < None
False
>>> index_set({1,2}) <= None
False
>>> index_set({1,2}) > None
False
>>> index_set({1,2}) >= None
False

Definition at line 406 of file PyClical.pyx.

istpq()

def PyClical.istpq	(		p,
			q
	)

Abbreviation for index_set({-q,...p}).

>>> print(istpq(2,3))
{-3,-2,-1,1,2}

Definition at line 1899 of file PyClical.pyx.

Variable Documentation

__version__

string PyClical.__version__ = "0.8.4"

private

Definition at line 33 of file PyClical.pyx.

cl

PyClical.cl = clifford

Definition at line 1860 of file PyClical.pyx.

Referenced by cga3.agc3(), cga3.cga3(), and cga3.cga3std().

fill

PyClical.fill

Definition at line 1814 of file PyClical.pyx.

Referenced by glucat::framed_multi< Scalar_T, LO, HI >.random(), and glucat::matrix_multi< Scalar_T, LO, HI >.random().

i

PyClical.i

Definition at line 1541 of file PyClical.pyx.

Referenced by glucat.acos(), glucat.acosh(), glucat.asin(), glucat.asinh(), glucat.atan(), glucat.atanh(), glucat.check_complex(), glucat.cos(), glucat.log(), glucat.matrix_log(), glucat.matrix_sqrt(), glucat.operator<<(), glucat.operator>>(), glucat.sin(), glucat.sqrt(), and glucat.tan().

ist

PyClical.ist = index_set

Definition at line 1878 of file PyClical.pyx.

Referenced by cga3.agc3(), glucat::matrix_multi< Scalar_T, LO, HI >.basis_element(), glucat::framed_multi< Scalar_T, LO, HI >.centre_pm4_qp4(), glucat::framed_multi< Scalar_T, LO, HI >.centre_pp4_qm4(), glucat::framed_multi< Scalar_T, LO, HI >.centre_qp1_pm1(), cga3.cga3(), cga3.cga3std(), glucat::framed_multi< Scalar_T, LO, HI >.divide(), glucat::framed_multi< Scalar_T, LO, HI >.framed_multi(), index_set_to_repr(), index_set_to_str(), glucat::matrix_multi< Scalar_T, LO, HI >.matrix_multi(), glucat.max_pos(), glucat.min_neg(), glucat.operator<<(), and glucat.operator>>().

ixt

PyClical.ixt

Definition at line 1814 of file PyClical.pyx.

nbar3

def PyClical.nbar3 = e(4) - e(-1)

Definition at line 1909 of file PyClical.pyx.

ninf3

def PyClical.ninf3 = e(4) + e(-1)

Definition at line 1908 of file PyClical.pyx.

Referenced by cga3.cga3(), and cga3.cga3std().

obj

PyClical.obj

Definition at line 1541 of file PyClical.pyx.

pi

float PyClical.pi = atan(clifford(1.0)) * 4.0

Definition at line 1857 of file PyClical.pyx.

Referenced by glucat::matrix.classify_eigenvalues(), glucat.cos(), glucat.log(), glucat.matrix_log(), and glucat.sin().

scalar_epsilon

PyClical.scalar_epsilon = epsilon

Definition at line 1855 of file PyClical.pyx.

tau

float PyClical.tau = atan(clifford(1.0)) * 8.0

Definition at line 1858 of file PyClical.pyx.