Interface to mwrank

sage.interfaces.mwrank.Mwrank(options='', server=None, server_tmpdir=None)

Create and return an mwrank interpreter, with given options.

INPUT:

  • options - string; passed when starting mwrank. The format is:

    -h       help            prints this info and quits
    -q       quiet           turns OFF banner display and prompt
    -v n     verbosity       sets verbosity to n (default=1)
    -o       PARI/GP output  turns ON extra PARI/GP short output (default is OFF)
    -p n     precision       sets precision to n decimals (default=15)
    -b n     quartic bound   bound on quartic point search (default=10)
    -x n     n aux           number of aux primes used for sieving (default=6)
    -l       list            turns ON listing of points (default ON unless v=0)
    -s       selmer_only     if set, computes Selmer rank only (default: not set)
    -d       skip_2nd_descent        if set, skips the second descent for curves with 2-torsion (default: not set)
    -S n     sat_bd          upper bound on saturation primes (default=100, -1 for automatic)

EXAMPLES:

sage: M = Mwrank('-v 0 -l')
sage: print M('0 0 1 -1 0')
Curve [0,0,1,-1,0] :    Rank = 1
Generator 1 is [0:-1:1]; height 0.0511114082399688
Regulator = 0.0511114082399688
class sage.interfaces.mwrank.Mwrank_class(options='', server=None, server_tmpdir=None)

Bases: sage.interfaces.expect.Expect

Interface to the Mwrank interpreter.

console()

Start the mwrank console.

EXAMPLE:

sage: mwrank.console() # not tested: expects console input
Program mwrank: ...
eval(s, **kwds)

Return mwrank’s output for the given input.

INPUT:

  • s (str) - a Sage object which when converted to a string gives valid input to mwrank. The conversion is done by validate_mwrank_input(). Possible formats are:
    • a string representing exactly five integers separated by whitespace, for example ‘1 2 3 4 5’
    • a string representing exactly five integers separated by commas, preceded by ‘[‘ and followed by ‘]’ (with arbitrary whitespace), for example ‘[1 2 3 4 5]’
    • a list or tuple of exactly 5 integers.

Note

If a RuntimeError exception is raised, then the mwrank interface is restarted and the command is retried once.

EXAMPLES:

sage: mwrank.eval('12 3 4 5 6')
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval('[12, 3, 4, 5, 6]')
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval([12, 3, 4, 5, 6])
'Curve [12,3,4,5,6] :...'
sage: mwrank.eval((12, 3, 4, 5, 6))
'Curve [12,3,4,5,6] :...'
quit(verbose=False)

Quit the mwrank process using kill -9 (so exit doesn’t dump core, etc.).

INPUT:

  • verbose – ignored

EXAMPLES:

sage: m = Mwrank()
sage: e = m('1 2 3 4 5')
sage: m.quit()
sage.interfaces.mwrank.mwrank_console()

Start the mwrank console.

EXAMPLE:

sage: mwrank_console() # not tested: expects console input
Program mwrank: ...
sage.interfaces.mwrank.validate_mwrank_input(s)

Returns a string suitable for mwrank input, or raises an error.

INPUT:

  • \(s\) – one of the following:

    • a list or tuple of 5 integers [a1,a2,a3,a4,a6] or (a1,a2,a3,a4,a6)
    • a string of the form ‘[a1,a2,a3,a4,a6]’ or ‘a1 a2 a3 a4 a6’ where a1, a2, a3, a4, a6 are integers

OUTPUT:

For valid input, a string of the form ‘[a1,a2,a3,a4,a6]’. For invalid input a ValueError is raised.

EXAMPLES:

A list or tuple of 5 integers:

sage: from sage.interfaces.mwrank import validate_mwrank_input
sage: validate_mwrank_input([1,2,3,4,5])
'[1, 2, 3, 4, 5]'
sage: validate_mwrank_input((-1,2,-3,4,-55))
'[-1, 2, -3, 4, -55]'
sage: validate_mwrank_input([1,2,3,4])
Traceback (most recent call last):
...
ValueError: [1, 2, 3, 4] is not valid input to mwrank (should have 5 entries)
sage: validate_mwrank_input([1,2,3,4,i])
Traceback (most recent call last):
...
ValueError: [1, 2, 3, 4, I] is not valid input to mwrank (entries should be integers)

A string of the form ‘[a1,a2,a3,a4,a6]’ with any whitespace and integers ai:

sage: validate_mwrank_input('0 -1 1 -7 6')
'[0,-1,1,-7,6]'
sage: validate_mwrank_input("[0,-1,1,0,0]\n")
'[0,-1,1,0,0]'
sage: validate_mwrank_input('0\t -1\t 1\t 0\t 0\n')
'[0,-1,1,0,0]'
sage: validate_mwrank_input('0 -1 1 -7 ')
Traceback (most recent call last):
...
ValueError: 0 -1 1 -7  is not valid input to mwrank

Previous topic

Interface to Mathematica

Next topic

Interface to GNU Octave

This Page