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l = list(l) if (not len(l) == n or not all(isinstance(a, (int,Integer)) for a in l)):
arg = list(arg) if (not len(arg) == n or not all(isinstance(a, (int,Integer)) for a in arg)):
def iter_morphisms(self, l=None, codomain=None, min_length=1): r""" Iterate over all morphisms with domain ``self`` and the given codmain.
932f02519b456e87f5bab82bef45c62d52dc3efe /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/932f02519b456e87f5bab82bef45c62d52dc3efe/words.py
"l (=%s) must be an iterable of %s integers" %(l, n)) compositions = [l]
"arg (=%s) must be an iterable of %s integers" %(arg, n)) compositions = [arg]
def iter_morphisms(self, l=None, codomain=None, min_length=1): r""" Iterate over all morphisms with domain ``self`` and the given codmain.
932f02519b456e87f5bab82bef45c62d52dc3efe /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/932f02519b456e87f5bab82bef45c62d52dc3efe/words.py
sage: cmp(c1, 1)
sage: cmp(c1, 1) * cmp(1, c1)
def __cmp__(self, right): r""" Compare ``self`` and ``right``. INPUT: - ``right`` -- anything. OUTPUT: - 0 if ``right`` is of the same type as ``self`` and their rays are the same and listed in the same order. 1 or -1 otherwise. TESTS:: sage: c1 = Cone([(1,0), (0,1)]) sage: c2 = Cone([(0,1), (1,0)]) sage: c3 = Co...
14127554227289c36ed2f39b8378016311cf0546 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/14127554227289c36ed2f39b8378016311cf0546/cone.py
def eval(self, command, **kwds):
def eval(self, command, *args, **kwds):
def eval(self, command, **kwds): """ Evaluates commands.
efd6c7d0717f8a54dd0d13724971fcddaea2597c /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/efd6c7d0717f8a54dd0d13724971fcddaea2597c/scilab.py
'scilab-5.0...'
'scilab-...'
def version(self): """ Returns the version of the Scilab software used.
efd6c7d0717f8a54dd0d13724971fcddaea2597c /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/efd6c7d0717f8a54dd0d13724971fcddaea2597c/scilab.py
sage: G = matrix(GF(2),[[1,0,0],[1,1,0]]) sage: C = LinearCode(G) sage: C.dimension() 2
sage: G = matrix(GF(2),[[1,0,0],[1,1,0]]) sage: C = LinearCode(G) sage: C.dimension() 2
def dimension(self): r""" Returns the dimension of this code. EXAMPLES:: sage: G = matrix(GF(2),[[1,0,0],[1,1,0]]) sage: C = LinearCode(G) sage: C.dimension() 2 """ return self.__dim
8ac5bad415decbd22c9c8558df047eb1ad70bd3b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/8ac5bad415decbd22c9c8558df047eb1ad70bd3b/linear_code.py
Returns the Duursama data `v` and `m` of this formally s.d. code `C`
Returns the Duursma data `v` and `m` of this formally s.d. code `C`
def sd_duursma_data(C, i): r""" Returns the Duursama data `v` and `m` of this formally s.d. code `C` and the type number `i` in (1,2,3,4). Does *not* check if this code is actually sd. INPUT: - ``i`` - Type number OUTPUT: - Pair ``(v, m)`` as in Duursama [D]_ REFERENCES: - [D] - I. Duursma, "Extremal weight enum...
8ac5bad415decbd22c9c8558df047eb1ad70bd3b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/8ac5bad415decbd22c9c8558df047eb1ad70bd3b/linear_code.py
- Pair ``(v, m)`` as in Duursama [D]_
- Pair ``(v, m)`` as in Duursma [D]_
def sd_duursma_data(C, i): r""" Returns the Duursama data `v` and `m` of this formally s.d. code `C` and the type number `i` in (1,2,3,4). Does *not* check if this code is actually sd. INPUT: - ``i`` - Type number OUTPUT: - Pair ``(v, m)`` as in Duursama [D]_ REFERENCES: - [D] - I. Duursma, "Extremal weight enum...
8ac5bad415decbd22c9c8558df047eb1ad70bd3b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/8ac5bad415decbd22c9c8558df047eb1ad70bd3b/linear_code.py
- [D] - I. Duursma, "Extremal weight enumerators and ultraspherical polynomials"
.. [D] I. Duursma, "Extremal weight enumerators and ultraspherical polynomials"
def sd_duursma_data(C, i): r""" Returns the Duursama data `v` and `m` of this formally s.d. code `C` and the type number `i` in (1,2,3,4). Does *not* check if this code is actually sd. INPUT: - ``i`` - Type number OUTPUT: - Pair ``(v, m)`` as in Duursama [D]_ REFERENCES: - [D] - I. Duursma, "Extremal weight enum...
8ac5bad415decbd22c9c8558df047eb1ad70bd3b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/8ac5bad415decbd22c9c8558df047eb1ad70bd3b/linear_code.py
- Coefficients `q_0, q_1, ...` of `q(T)` as in Duursama [D]_
- Coefficients `q_0, q_1, ...` of `q(T)` as in Duursma [D]_
def sd_duursma_q(C,i,d0): r""" INPUT: - ``C`` - sd code; does *not* check if `C` is actually an sd code - ``i`` - Type number, one of 1,2,3,4 - ``d0`` - Divisor, the smallest integer such that each `A_i > 0` iff `i` is divisible by `d0` OUTPUT: - Coefficients `q_0, q_1, ...` of `q(T)` as in Duursama [D]_ REFEREN...
8ac5bad415decbd22c9c8558df047eb1ad70bd3b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/8ac5bad415decbd22c9c8558df047eb1ad70bd3b/linear_code.py
"""
r"""
def strip_answer(self, s): """ Returns the string s with Matlab's answer prompt removed. EXAMPLES:: sage: s = '\nans =\n\n 2\n' sage: matlab.strip_answer(s) ' 2' """ i = s.find('=') return s[i+1:].strip('\n')
e9a5741f8767b957063a1cb1f22102c3fe186088 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e9a5741f8767b957063a1cb1f22102c3fe186088/matlab.py
img = self(letter)
img = self.image(letter)
def is_identity(self): r""" Returns ``True`` if ``self`` is the identity morphism. EXAMPLES::
a051baff3ff3349040e2463711e0ebf4c62b96f9 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/a051baff3ff3349040e2463711e0ebf4c62b96f9/morphism.py
def random_element(self, prec, bound=None):
def random_element(self, prec=None, *args, **kwds):
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
- ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented)
- ``prec`` - Integer specifying precision of output (default: default precision of self) - ``*args, **kwds`` - Passed on to the ``random_element`` method for the base ring
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
- ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degree``, are coercions to the base ring of random integers between -``bound`` and ``bound``. IMPLEMENTATION: Call the random_element method on the underlying
- Power series with precision ``prec`` whose coefficients are random elements from the base ring, randomized subject to the arguments ``*args`` and ``**kwds`` IMPLEMENTATION:: Call the ``random_element`` method on the underlying
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
sage: R.random_element(5)
sage: R.random_element(5)
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
sage: R.random_element(5,20) 1/15 + 19/17*t + 10/3*t^2 + 5/2*t^3 + 1/2*t^4 + O(t^5) """ return self(self.__poly_ring.random_element(prec, bound), prec)
sage: R.random_element(10) -1/2 + 2*t - 2/7*t^2 - 25*t^3 - t^4 + 2*t^5 - 4*t^7 - 1/3*t^8 - t^9 + O(t^10) If given no argument, random_element uses default precision of self:: sage: T = PowerSeriesRing(ZZ,'t') sage: T.default_prec() 20 sage: T.random_element() 4 + 2*t - t^2 - t^3 + 2*t^4 + t^5 + t^6 - 2*t^7 - t^8 - t^...
def random_element(self, prec, bound=None): r""" Return a random power series. INPUT: - ``prec`` - an integer - ``bound`` - an integer (default: None, which tries to spread choice across ring, if implemented) OUTPUT: - ``power series`` - a power series such that the coefficient of `x^i`, for `i` up to ``degr...
168bd147cb010ecdedcd71826bdf5a844078a49e /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/168bd147cb010ecdedcd71826bdf5a844078a49e/power_series_ring.py
- ``solution_dict`` - bool (default: False); if True, return a list of dictionaries containing the solutions.
- ``solution_dict`` - bool (default: False); if True or non-zero, return a list of dictionaries containing the solutions. If there are no solutions, return an empty list (rather than a list containing an empty dictionary). Likewise, if there's only a single solution, return a list containing one dictionary with that s...
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
If we ask for a dictionary for the solutions, we get it::
If we ask for dictionaries containing the solutions, we get them::
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
TESTS:: sage: solve([sin(x)==x,y^2==x],x,y) [sin(x) == x, y^2 == x]
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
TESTS:: sage: solve([sin(x)==x,y^2==x],x,y) [sin(x) == x, y^2 == x] sage: solve(0==1,x) Traceback (most recent call last): ... TypeError: object of type 'bool' has no len() Test if the empty list is returned, too, when (a list of) dictionaries (is) are requested ( sage: solve([0==1],x) [] sage: solve([0==1],x,solut...
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
if 'solution_dict' in kwds and kwds['solution_dict']==True:
if kwds.get('solution_dict', False): if len(sol_list)==0: return []
def solve(f, *args, **kwds): r""" Algebraically solve an equation or system of equations (over the complex numbers) for given variables. Inequalities and systems of inequalities are also supported. INPUT: - ``f`` - equation or system of equations (given by a list or tuple) - ``*args`` - variables to solve for. - ...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
- ``solution_dict`` - (default: False) if True, return a list of dictionaries containing the solutions.
- ``solution_dict`` - bool (default: False); if True or non-zero, return a list of dictionaries containing the solutions. If there are no solutions, return an empty list (rather than a list containing an empty dictionary). Likewise, if there's only a single solution, return a list containing one dictionary with that s...
def solve_mod(eqns, modulus, solution_dict = False): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. By default the solutions are returned as `n`-tuples, where `n` is the number of variables appearing an...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
We solve an simple equation modulo 2::
We solve a simple equation modulo 2::
def solve_mod(eqns, modulus, solution_dict = False): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. By default the solutions are returned as `n`-tuples, where `n` is the number of variables appearing an...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
raise ValueError, "the modulus must be a positive integer"
raise ValueError, "the modulus must be a positive integer"
def solve_mod(eqns, modulus, solution_dict = False): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. By default the solutions are returned as `n`-tuples, where `n` is the number of variables appearing an...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
if solution_dict == True:
if solution_dict:
def solve_mod(eqns, modulus, solution_dict = False): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. By default the solutions are returned as `n`-tuples, where `n` is the number of variables appearing an...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
We solve an simple equation modulo 2::
We solve a simple equation modulo 2::
def solve_mod_enumerate(eqns, modulus): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. The solutions are returned as `n`-tuples, where `n` is the number of variables appearing anywhere in the given equa...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
raise ValueError, "the modulus must be a positive integer"
raise ValueError, "the modulus must be a positive integer"
def solve_mod_enumerate(eqns, modulus): r""" Return all solutions to an equation or list of equations modulo the given integer modulus. Each equation must involve only polynomials in 1 or many variables. The solutions are returned as `n`-tuples, where `n` is the number of variables appearing anywhere in the given equa...
0514bac4c2d7c6b97d01cba8018101be1b18547a /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0514bac4c2d7c6b97d01cba8018101be1b18547a/relation.py
AUTHORS: - Robert Bradshaw (2007-10): numerical algorithm - Robert Bradshaw (2008-10): algebraic algorithm
def minpoly(ex, var='x', algorithm=None, bits=None, degree=None, epsilon=0): r""" Return the minimal polynomial of self, if possible. INPUT: - ``var`` - polynomial variable name (default 'x') - ``algorithm`` - 'algebraic' or 'numerical' (default both, but with numerical first) - ``bits`` - the number of bits to ...
86e87880bfb86915da047327d5455d1e0168d6ef /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/86e87880bfb86915da047327d5455d1e0168d6ef/calculus.py
AUTHORS: - Golam Mortuza Hossain (2009-06-15)
def _limit_latex_(self, f, x, a): r""" Return latex expression for limit of a symbolic function. EXAMPLES:: sage: from sage.calculus.calculus import _limit_latex_ sage: var('x,a') (x, a) sage: f = function('f',x) sage: _limit_latex_(0, f, x, a) '\\lim_{x \\to a}\\, f\\left(x\\right)' sage: latex(limit(f, x=oo)) \lim_...
86e87880bfb86915da047327d5455d1e0168d6ef /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/86e87880bfb86915da047327d5455d1e0168d6ef/calculus.py
AUTHORS: - Golam Mortuza Hossain (2009-06-22)
def _laplace_latex_(self, *args): r""" Return LaTeX expression for Laplace transform of a symbolic function. EXAMPLES:: sage: from sage.calculus.calculus import _laplace_latex_ sage: var('s,t') (s, t) sage: f = function('f',t) sage: _laplace_latex_(0,f,t,s) '\\mathcal{L}\\left(f\\left(t\\right), t, s\\right)' sage: l...
86e87880bfb86915da047327d5455d1e0168d6ef /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/86e87880bfb86915da047327d5455d1e0168d6ef/calculus.py
AUTHORS: - Golam Mortuza Hossain (2009-06-22)
def _inverse_laplace_latex_(self, *args): r""" Return LaTeX expression for inverse Laplace transform of a symbolic function. EXAMPLES:: sage: from sage.calculus.calculus import _inverse_laplace_latex_ sage: var('s,t') (s, t) sage: F = function('F',s) sage: _inverse_laplace_latex_(0,F,s,t) '\\mathcal{L}^{-1}\\left(F\\...
86e87880bfb86915da047327d5455d1e0168d6ef /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/86e87880bfb86915da047327d5455d1e0168d6ef/calculus.py
gens = [ "()" ]
k = max(self.entries()) gens = [range(1,k+1)]
def row_stabilizer(self): """ Return the PermutationGroup corresponding to the row stabilizer of self. EXAMPLES:: sage: rs = Tableau([[1,2,3],[4,5]]).row_stabilizer() sage: rs.order() == factorial(3)*factorial(2) True sage: PermutationGroupElement([(1,3,2),(4,5)]) in rs True sage: PermutationGroupElement([(1,4)]) in ...
d1a8bb7da95c4f8a309323a5bdf498d536831868 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/d1a8bb7da95c4f8a309323a5bdf498d536831868/tableau.py
sage: homchain(C2, generators=True, base_ring=GF(2))[2]
sage: homchain(C2, generators=True, base_ring=GF(2))[2]
def homchain(complex=None, **kwds): r""" Compute the homology of a chain complex using the CHomP program ``homchain``. :param complex: a chain complex :param generators: if True, also return list of generators :type generators: boolean; optional, default False :param verbose: if True, print helpful messages as the com...
84010535db6dc898dca8dbb68d1f41dd9e0c30d4 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/84010535db6dc898dca8dbb68d1f41dd9e0c30d4/chomp.py
This function returns the part of the fractional ideal self which is coprime to the prime ideals in the list S NOTE: This function assumes S is a list of prime ideals, it does not check this. This function will fail if S is not a list of prime ideals.
Return the part of this fractional ideal which is coprime to the prime ideals in the list ``S``. .. note:: This function assumes that `S` is a list of prime ideals, but does not check this. This function will fail if `S` is not a list of prime ideals.
def prime_to_S_part(self,S): r""" This function returns the part of the fractional ideal self which is coprime to the prime ideals in the list S NOTE: This function assumes S is a list of prime ideals, it does not check this. This function will fail if S is not a list of prime ideals. INPUT: - "self" - fractional ide...
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
- "self" - fractional ideal - "S" - a list of prime ideals
- `S` - a list of prime ideals
def prime_to_S_part(self,S): r""" This function returns the part of the fractional ideal self which is coprime to the prime ideals in the list S NOTE: This function assumes S is a list of prime ideals, it does not check this. This function will fail if S is not a list of prime ideals. INPUT: - "self" - fractional ide...
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
- an ideal coprime to the ideals in S
A fractional ideal coprime to the primes in `S`, whose prime factorization is that of ``self`` withe the primes in `S` removed.
def prime_to_S_part(self,S): r""" This function returns the part of the fractional ideal self which is coprime to the prime ideals in the list S NOTE: This function assumes S is a list of prime ideals, it does not check this. This function will fail if S is not a list of prime ideals. INPUT: - "self" - fractional ide...
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
r''' Returns True if the ideal is an unit with respect to the list of primes S. INPUT:: - `S` - a list of prime ideals (not checked if they are indeed prime). OUTPUT:: True, if the ideal is `S`-unit. False, otherwise.
r""" Return True if this fractional ideal is a unit with respect to the list of primes ``S``. INPUT: - `S` - a list of prime ideals (not checked if they are indeed prime). .. note:: This function assumes that `S` is a list of prime ideals, but does not check this. This function will fail if `S` is not a list of pr...
def is_S_unit(self,S): r''' Returns True if the ideal is an unit with respect to the
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
'''
"""
def is_S_unit(self,S): r''' Returns True if the ideal is an unit with respect to the
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
r''' Returns True if the ideal is an unit with respect to the list of primes S. INPUT:: - `S` - a list of prime ideals (not checked if they are indeed prime). OUTPUT:: True, if the ideal is `S`-integral. False, otherwise.
r""" Return True if this fractional ideal is integral with respect to the list of primes ``S``. INPUT: - `S` - a list of prime ideals (not checked if they are indeed prime). .. note:: This function assumes that `S` is a list of prime ideals, but does not check this. This function will fail if `S` is not a list of ...
def is_S_integral(self,S): r''' Returns True if the ideal is an unit with respect to the
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
'''
"""
def is_S_integral(self,S): r''' Returns True if the ideal is an unit with respect to the
6227df91d1b5dd35f4012cf80c2dec37f6aa4d01 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6227df91d1b5dd35f4012cf80c2dec37f6aa4d01/number_field_ideal.py
- ``algorithm`` - string (default: 'recursive') specifying which algorithm to be used when computing the iterated palindromic closure. It must be one of the two following values: - ``'definition'`` means that the iterated right palindromic closure is computed using the definition. - ``'recursive'`` is based on an eff...
- ``algorithm`` - string (default: ``'recursive'``) specifying which algorithm to be used when computing the iterated palindromic closure. It must be one of the two following values: - ``'definition'`` - computed using the definition - ``'recursive'`` - computation based on an efficient formula that recursively compu...
def iterated_right_palindromic_closure(self, f=None, algorithm='recursive'): r""" Returns the iterated (`f`-)palindromic closure of self. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
l = len(sub)
L = len(sub)
def find(self, sub, start=0, end=None): r""" Returns the index of the first occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
i = len(self) - l
i = len(self) - L
def find(self, sub, start=0, end=None): r""" Returns the index of the first occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
i = start - l
i = start - L
def find(self, sub, start=0, end=None): r""" Returns the index of the first occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
if self[i:i+l] == sub: return i
if self[i:i+L] == sub: return i
def find(self, sub, start=0, end=None): r""" Returns the index of the first occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
l = len(sub)
L = len(sub)
def rfind(self, sub, start=0, end=None): r""" Returns the index of the last occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
i = len(self) - l
i = len(self) - L
def rfind(self, sub, start=0, end=None): r""" Returns the index of the last occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
i = end - l
i = end - L
def rfind(self, sub, start=0, end=None): r""" Returns the index of the last occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
if self[i:i+l] == sub: return i
if self[i:i+L] == sub: return i
def rfind(self, sub, start=0, end=None): r""" Returns the index of the last occurrence of sub in self, such that sub is contained within self[start:end]. Returns -1 on failure. INPUT:
f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/f1dc5cf58b77c7cbd5be67cea6663f26bdaf2e73/word.py
""" qE = self._q
sage: T = EllipticCurve('14').tate_curve(7) sage: T.E2(30) 2 + 4*7 + 7^2 + 3*7^3 + 6*7^4 + 5*7^5 + 2*7^6 + 7^7 + 5*7^8 + 6*7^9 + 5*7^10 + 2*7^11 + 6*7^12 + 4*7^13 + 3*7^15 + 5*7^16 + 4*7^17 + 4*7^18 + 2*7^20 + 7^21 + 5*7^22 + 4*7^23 + 4*7^24 + 3*7^25 + 6*7^26 + 3*7^27 + 6*7^28 + O(7^30) """
def E2(self,prec=20): r""" Returns the value of the `p`-adic Eisenstein series of weight 2 evaluated on the elliptic curve having split multiplicative reduction.
536830f7840799421c89f37f9413bf2f8ea8090b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/536830f7840799421c89f37f9413bf2f8ea8090b/ell_tate_curve.py
P1 = P[0]; P2 = P[1]
P1 = P[0] P2 = P[1] if is_Integer(P1) and is_Integer(P2): R = PolynomialRing(self.value_ring(), 'x') P1 = R(P1) P2 = R(P2) return JacobianMorphism_divisor_class_field(self, tuple([P1,P2])) if is_Integer(P1) and is_Polynomial(P2): R = PolynomialRing(self.value_ring(), 'x') P1 = R(P1) return JacobianMorphism_divisor_clas...
def __call__(self, P): r""" Returns a rational point P in the abstract Homset J(K), given: 0. A point P in J = Jac(C), returning P; 1. A point P on the curve C such that J = Jac(C), where C is an odd degree model, returning [P - oo]; 2. A pair of points (P, Q) on the curve C such that J = Jac(C), returning [P-Q]; 2. A...
b145a02af12fbf8d66f63a5059612d089cce212b /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/b145a02af12fbf8d66f63a5059612d089cce212b/jacobian_homset.py
sage: P1 in G
sage: P1 in G
def _call_(self, x): r""" TEST::
6a5183fe302ca98df16b43da14542e79c68fed7f /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6a5183fe302ca98df16b43da14542e79c68fed7f/additive_abelian_wrapper.py
return u[0]
return u[0].vector()
def _discrete_log(self,x): # EVEN DUMBER IMPLEMENTATION! u = [y for y in self.list() if y.element() == x] if len(u) == 0: raise TypeError, "Not in group" if len(u) > 1: raise NotImplementedError return u[0]
6a5183fe302ca98df16b43da14542e79c68fed7f /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/6a5183fe302ca98df16b43da14542e79c68fed7f/additive_abelian_wrapper.py
Some cases that check on the negative twists::
Some harder cases fail::
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
-2
1
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
Dlist = [5,8,12,13,17,21,24,28,29]
Dlist = [5,8,12,13,17,21,24,28,29, 33, 37, 40, 41, 44, 53, 56, 57, 60, 61, 65, 69, 73, 76, 77, 85, 88, 89, 92, 93, 97]
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
while j < 9 and at0 == 0 :
while j < 30 and at0 == 0 :
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
chtw = True for ell in prime_divisors(D): chtw = chtw and ( valuation(E.conductor(),ell)<= valuation(D,ell) ) if chtw :
if all( valuation(E.conductor(),ell)<= valuation(D,ell) for ell in prime_divisors(D) ) :
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
if j == 9 and at0 == 0: sc = 1 if not self._use_eclib : msn = ModularSymbolSage(self._E,sign = -1,normalize = "L_ratio") sc = msn._scaling if sc == 0 or self._use_eclib : self.__scale_by_periods_only__() else : self._scaling = sc
if j == 30 and at0 == 0: self.__scale_by_periods_only__()
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
verbose('scale modular symbols by %s'%(l1/at0))
verbose('scale modular symbols by %s found at D=%s '%(l1/at0,D), level=2)
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
Dlist = [-3,-4,-7,-8,-11,-15,-19,-20,-23,-24]
Dlist = [-3,-4,-7,-8,-11,-15,-19,-20,-23,-24, -31, -35, -39, -40, -43, -47, -51, -52, -55, -56, -59, -67, -68, -71, -79, -83, -84, -87, -88, -91]
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
while j < 9 and at0 == 0 :
while j < 30 and at0 == 0 :
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
chtw = True for ell in prime_divisors(D): chtw = chtw and ( valuation(E.conductor(),ell)<= valuation(D,ell) ) if chtw :
if all( valuation(E.conductor(),ell)<= valuation(D,ell) for ell in prime_divisors(D) ) :
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
if j == 9 and at0 == 0:
if j == 30 and at0 == 0:
def _find_scaling_L_ratio(self): r""" This function is use to set ``_scaling``, the factor used to adjust the scalar multiple of the modular symbol. If `[0]`, the modular symbol evaluated at 0, is non-zero, we can just scale it with respect to the approximation of the L-value. It is known that the quotient is a rationa...
e7be0030cd1a8c8e471150145c5697dbf01cf489 /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/e7be0030cd1a8c8e471150145c5697dbf01cf489/ell_modular_symbols.py
self._option["pdflatex"] = False
self._option["engine"] = "latex" self._option["engine_name"] = "LaTeX"
def __init__(self, bb=False, delimiters=["(", ")"]): """ Define an object that holds LaTeX global preferences. """ self._option = {} self._option["blackboard_bold"] = bb self._option["matrix_delimiters"] = list(delimiters) self._option["vector_delimiters"] = list(delimiters) self._option["macros"] = "" self._option["pr...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False):
def _run_latex_(filename, debug=False, density=150, engine=None, png=False, do_in_background=False):
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
"filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't convert the dvi file to png (because of postscript specials or other issues), then dvips is called, and the PS file is converted to a png file.
"filename.dvi" (or "filename.pdf"` if engine is either ``pdflatex`` or ``xelatex'') and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't convert the dvi file to png (because of postscript specials or other issues), then dvips is called, and the PS file is converted to a png file.
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
- ``pdflatex`` - bool (optional, default False): whether to use pdflatex.
- ``engine`` - string: latex engine to use.
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
``pdflatex`` is False, then a dvi file is created, but if there
engine is latex or None, then a dvi file is created, but if there
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
returned.) If ``pdflatex`` is True and there are no errors, then
returned.) If engine is pdflatex or xelatex and there are no errors, then
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
pdflatex, you must have 'convert' installed.
pdflatex or xelatex, you must have 'convert' installed.
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if pdflatex is None: pdflatex = _Latex_prefs._option["pdflatex"] if not pdflatex and not have_latex():
if engine is None: engine = _Latex_prefs._option["engine"] if not engine and not have_latex():
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if pdflatex and not have_pdflatex(): print "Error: PDFLaTeX does not seem to be installed. Download it from"
if engine and not have_pdflatex() and not have_xelatex(): print "Error: %s does not seem to be installed. Download it from" % _Latex_prefs._option["engine_name"]
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if not pdflatex and not (have_dvipng() or have_convert()):
if (not engine or engine == "latex") and not (have_dvipng() or have_convert()):
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
print "appear to be installed. Displaying LaTeX or PDFLaTeX output"
print "appear to be installed. Displaying LaTeX, PDFLaTeX output"
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
elif pdflatex and not have_convert():
elif engine == "pdflatex" and not have_convert():
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if pdflatex:
if not engine or engine == "latex": command = "latex" suffix = "ps" return_suffix = "dvi" elif engine == "pdflatex":
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
command = "latex" suffix = "ps" return_suffix = "dvi"
raise ValueError, "Unsupported LaTeX engine."
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if pdflatex:
if engine == "pdflatex" or engine == "xelatex":
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
e = os.system(cmd + ' ' + redirect + background) else:
e = os.system(cmd + ' ' + redirect + background) else:
def _run_latex_(filename, debug=False, density=150, pdflatex=None, png=False, do_in_background=False): """ This runs LaTeX on the TeX file "filename.tex". It produces files "filename.dvi" (or "filename.pdf"` if ``pdflatex`` is ``True``) and if ``png`` is True, "filename.png". If ``png`` is True and dvipng can't conve...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
def __init__(self, debug=False, slide=False, density=150, pdflatex=None):
def __init__(self, debug=False, slide=False, density=150, pdflatex=None, engine=None):
def __init__(self, debug=False, slide=False, density=150, pdflatex=None): self.__debug = debug self.__slide = slide self.__pdflatex = pdflatex self.__density = density
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
def _relation_symbols(self): """ Returns a dictionary whose keys are attributes of the :mod:`operator` module and whose values are the corresponding LaTeX expressions. EXAMPLES::
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
density=None, pdflatex=None, locals={}):
density=None, pdflatex=None, engine=None, locals={}):
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
- ``pdflatex`` - whether to use pdflatex.
- ``pdflatex`` - whether to use pdflatex. This is deprecated. Use ``engine`` option instead. - ``engine`` - latex engine to use. Currently latex, pdflatex, and xelatex are supported.
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
or this command won't work. When using pdflatex, you must
or this command won't work. When using pdflatex or xelatex, you must
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
if pdflatex is None: if self.__pdflatex is None: pdflatex = _Latex_prefs._option["pdflatex"]
if engine is None: if self.__engine is None: engine = _Latex_prefs._option["engine"]
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
pdflatex = bool(self.__pdflatex)
engine = self.__engine
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
density=density, pdflatex=pdflatex, png=True)
density=density, engine=engine, png=True)
def eval(self, x, globals, strip=False, filename=None, debug=None, density=None, pdflatex=None, locals={}): """ INPUT:
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
def pdflatex(self, t = None): """
def pdflatex(self, t = None): """ This is deprecated. Use engine("pdflatex") instead.
def pdflatex(self, t = None): """ Controls whether Sage uses PDFLaTeX or LaTeX when typesetting with :func:`view`, in ``%latex`` cells, etc. INPUT: - ``t`` -- boolean or None
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
sage: latex.pdflatex()
sage: latex.pdflatex() doctest:...: DeprecationWarning: Use engine() instead.
def pdflatex(self, t = None): """ Controls whether Sage uses PDFLaTeX or LaTeX when typesetting with :func:`view`, in ``%latex`` cells, etc. INPUT: - ``t`` -- boolean or None
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
sage: latex.pdflatex(False)
sage: latex.pdflatex(False) doctest:...: DeprecationWarning: Use engine("latex") instead.
def pdflatex(self, t = None): """ Controls whether Sage uses PDFLaTeX or LaTeX when typesetting with :func:`view`, in ``%latex`` cells, etc. INPUT: - ``t`` -- boolean or None
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
return _Latex_prefs._option["pdflatex"] _Latex_prefs._option["pdflatex"] = bool(t)
from sage.misc.misc import deprecation deprecation('Use engine() instead.') return _Latex_prefs._option["engine"] == "pdflatex" elif t: from sage.misc.misc import deprecation deprecation('Use engine("pdflatex") instead.') self.engine("pdflatex") else: from sage.misc.misc import deprecation deprecation('Use engine("late...
def pdflatex(self, t = None): """ Controls whether Sage uses PDFLaTeX or LaTeX when typesetting with :func:`view`, in ``%latex`` cells, etc. INPUT: - ``t`` -- boolean or None
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds):
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, engine=None, viewer = None, tightpage = None, mode='inline', **kwds):
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds): r"""nodetex Compute a latex representation of each object in objects, compile, and display typeset. If used from the command line, this requires that latex be installed. INPUT: - `...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
- ``pdflatex`` - bool (default: False): use pdflatex.
- ``pdflatex`` - bool (default: False): use pdflatex. This is deprecated. Use 'engine' option instead. - ``engine`` - 'latex', 'pdflatex', or 'xelatex'
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds): r"""nodetex Compute a latex representation of each object in objects, compile, and display typeset. If used from the command line, this requires that latex be installed. INPUT: - `...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
If ``pdflatex`` is ``True``, then this produces a pdf file. Otherwise, it produces a dvi file, and if the program dvipng is
If ``pdflatex`` is ``True``, then the latex engine is set to pdflatex. If the engine is either pdflatex or xelatex, it produces a pdf file. Otherwise, it produces a dvi file, and if the program dvipng is
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds): r"""nodetex Compute a latex representation of each object in objects, compile, and display typeset. If used from the command line, this requires that latex be installed. INPUT: - `...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
viewer, even in notebook mode. This also sets ``pdflatex`` to ``True``.
viewer, even in notebook mode. This also sets the latex engine to be ``pdflatex`` if the current engine is latex.
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds): r"""nodetex Compute a latex representation of each object in objects, compile, and display typeset. If used from the command line, this requires that latex be installed. INPUT: - `...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py
debug=debug, do_in_background=False, pdflatex=pdflatex)
debug=debug, do_in_background=False, engine=engine)
def view(objects, title='SAGE', debug=False, sep='', tiny=False, pdflatex=None, viewer = None, tightpage = None, mode='inline', **kwds): r"""nodetex Compute a latex representation of each object in objects, compile, and display typeset. If used from the command line, this requires that latex be installed. INPUT: - `...
0ba327bff9f9e2dd4e53c3716295af7ddd946dea /local1/tlutelli/issta_data/temp/all_python//python/2010_temp/2010/9890/0ba327bff9f9e2dd4e53c3716295af7ddd946dea/latex.py