Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
sagemath
GitHub Repository: sagemath/sagelib
 Path: blob/master/sage/algebras/quaternion_algebra_element.py
4100 views
1
#######################################################################

2
# Backward compatible unpickle functions

3
#######################################################################

4


5
from quatalg.quaternion_algebra_element import (QuaternionAlgebraElement_generic,

6
                                                QuaternionAlgebraElement_rational_field,

7
                                                QuaternionAlgebraElement_number_field)

8


9
def unpickle_QuaternionAlgebraElement_generic_v0(*args):

10
    """

11
    EXAMPLES::

12
    

13
        sage: K.<X> = QQ[]

14
        sage: Q.<i,j,k> = QuaternionAlgebra(Frac(K), -5,-19); z = 2/3 + i*X - X^2*j + X^3*k

15
        sage: f, t = z.__reduce__()

16
        sage: import sage.algebras.quaternion_algebra_element

17
        sage: sage.algebras.quaternion_algebra_element.unpickle_QuaternionAlgebraElement_generic_v0(*t)

18
        2/3 + X*i + (-X^2)*j + X^3*k

19
        sage: sage.algebras.quaternion_algebra_element.unpickle_QuaternionAlgebraElement_generic_v0(*t) == z

20
        True

21
    """

22
    return QuaternionAlgebraElement_generic(*args)

23


24
def unpickle_QuaternionAlgebraElement_rational_field_v0(*args):

25
    """

26
    EXAMPLES::

27


28
        sage: Q.<i,j,k> = QuaternionAlgebra(-5,-19); a = 2/3 + i*5/7 - j*2/5 +19/2

29
        sage: f, t = a.__reduce__()

30
        sage: import sage.algebras.quaternion_algebra_element        

31
        sage: sage.algebras.quaternion_algebra_element.unpickle_QuaternionAlgebraElement_rational_field_v0(*t)

32
        61/6 + 5/7*i - 2/5*j

33
    """

34
    return QuaternionAlgebraElement_rational_field(*args)

35


36
def unpickle_QuaternionAlgebraElement_number_field_v0(*args):

37
    """

38
    EXAMPLES::

39


40
        sage: K.<a> = QQ[2^(1/3)]; Q.<i,j,k> = QuaternionAlgebra(K, -3, a); z = i + j

41
        sage: f, t = z.__reduce__()

42
        sage: import sage.algebras.quaternion_algebra_element        

43
        sage: sage.algebras.quaternion_algebra_element.unpickle_QuaternionAlgebraElement_number_field_v0(*t)

44
        i + j

45
        sage: sage.algebras.quaternion_algebra_element.unpickle_QuaternionAlgebraElement_number_field_v0(*t) == z

46
        True

47
    """

48
    return QuaternionAlgebraElement_number_field(*args)

49


50