Cython interface to Cremona’s eclib
library (also known as mwrank
)¶
EXAMPLES:
sage: from sage.libs.eclib.mwrank import _Curvedata, _mw
sage: c = _Curvedata(1,2,3,4,5)
sage: print(c)
[1,2,3,4,5]
b2 = 9 b4 = 11 b6 = 29 b8 = 35
c4 = -183 c6 = -3429
disc = -10351 (# real components = 1)
#torsion not yet computed
sage: t= _mw(c)
sage: t.search(10)
sage: t
[[1:2:1]]
- sage.libs.eclib.mwrank.get_precision()¶
Returns the working floating point bit precision of mwrank, which is equal to the global NTL real number precision.
OUTPUT:
(int) The current precision in bits.
See also
set_precision()
.EXAMPLES:
sage: mwrank_get_precision() 150
- sage.libs.eclib.mwrank.initprimes(filename, verb=False)¶
Initialises mwrank/eclib’s internal prime list.
INPUT:
filename
(string) – the name of a file of primes.verb
(bool: defaultFalse
) – verbose or not?
EXAMPLES:
sage: file = os.path.join(SAGE_TMP, 'PRIMES') sage: with open(file, 'w') as fobj: ....: _ = fobj.write(' '.join([str(p) for p in prime_range(10^7,10^7+20)])) sage: mwrank_initprimes(file, verb=True) Computed 78519 primes, largest is 1000253 reading primes from file ... read extra prime 10000019 finished reading primes from file ... Extra primes in list: 10000019 sage: mwrank_initprimes("x" + file, True) Traceback (most recent call last): ... OSError: No such file or directory: ...
- sage.libs.eclib.mwrank.parse_point_list(s)¶
Parse a string representing a list of points.
INPUT:
s
(string) – string representation of a list of points, for example ‘[]’, ‘[[1:2:3]]’, or ‘[[1:2:3],[4:5:6]]’.
OUTPUT:
(list) a list of triples of integers, for example [], [[1,2,3]], [[1,2,3],[4,5,6]].
EXAMPLES:
sage: from sage.libs.eclib.mwrank import parse_point_list sage: parse_point_list('[]') [] sage: parse_point_list('[[1:2:3]]') [[1, 2, 3]] sage: parse_point_list('[[1:2:3],[4:5:6]]') [[1, 2, 3], [4, 5, 6]]
- sage.libs.eclib.mwrank.set_precision(n)¶
Sets the working floating point bit precision of mwrank, which is equal to the global NTL real number precision.
NTL real number bit precision. This has a massive effect on the speed of mwrank calculations. The default (used if this function is not called) is
n=150
, but it might have to be increased if a computation fails.INPUT:
n
– a positive integer: the number of bits of precision.
Warning
This change is global and affects all future calls of eclib functions by Sage.
Note
The minimal value to which the precision may be set is 53. Lower values will be increased to 53.
See also
get_precision()
.EXAMPLES:
sage: from sage.libs.eclib.mwrank import set_precision, get_precision sage: old_prec = get_precision(); old_prec 150 sage: set_precision(50) sage: get_precision() 53 sage: set_precision(old_prec) sage: get_precision() 150