bugged
stringlengths
4
228k
fixed
stringlengths
0
96.3M
__index_level_0__
int64
0
481k
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
459,600
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
459,601
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
def steiner_tree(self,vertices, weighted = False): r""" Returns a tree of minimum weight connecting the given set of vertices.
459,602
def sturm_bound(self, M=None): r""" For a space M of modular forms, this function returns an integer B such that two modular forms in either self or M are equal if and only if their q-expansions are equal to precision B (note that this is 1+ the usual Sturm bound, since `O(q^\mathrm{prec})` has precision prec). If M is...
def sturm_bound(self, M=None): r""" For a space M of modular forms, this function returns an integer B such that two modular forms in either self or M are equal if and only if their q-expansions are equal to precision B (note that this is 1+ the usual Sturm bound, since `O(q^\mathrm{prec})` has precision prec). If M is...
459,603
cdef RealNumber result = domain(fn(*py_args))
cdef RealNumber result = domain(fn(*py_args))
459,604
def write_interpreter(self, write): r""" Generate the code for the C interpreter.
def write_interpreter(self, write): r""" Generate the code for the C interpreter.
459,605
def write_interpreter(self, write): r""" Generate the code for the C interpreter.
def write_interpreter(self, write): r""" Generate the code for the C interpreter.
459,606
def write_wrapper(self, write): r""" Generate the code for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the wrapper.
def write_wrapper(self, write): r""" Generate the code for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the wrapper.
459,607
def write_wrapper(self, write): r""" Generate the code for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the wrapper.
def write_wrapper(self, write): r""" Generate the code for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the wrapper.
459,608
def write_pxd(self, write): r""" Generate the pxd file for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the pxd file.
def write_pxd(self, write): r""" Generate the pxd file for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the pxd file.
459,609
def write_pxd(self, write): r""" Generate the pxd file for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the pxd file.
def write_pxd(self, write): r""" Generate the pxd file for the Cython wrapper. This function calls its write parameter successively with strings; when these strings are concatenated, the result is the code for the pxd file.
459,610
def get_interpreter(self): r""" Returns the code for the C interpreter.
def get_interpreter(self): r""" Returns the code for the C interpreter.
459,611
def get_wrapper(self): r""" Returns the code for the Cython wrapper.
def get_wrapper(self): r""" Returns the code for the Cython wrapper.
459,612
def get_pxd(self): r""" Returns the code for the Cython .pxd file.
def get_pxd(self): r""" Returns the code for the Cython .pxd file.
459,613
def get_pxd(self): r""" Returns the code for the Cython .pxd file.
def get_pxd(self): r""" Returns the code for the Cython .pxd file.
459,614
def build_interp(interp_spec, dir): r""" Given an InterpreterSpec, writes the C interpreter and the Cython wrapper (generates a pyx and a pxd file). EXAMPLES: sage: from sage.ext.gen_interpreters import * sage: testdir = tmp_filename() sage: os.mkdir(testdir) sage: rdf_interp = RDFInterpreter() sage: build_interp(rdf_...
def build_interp(interp_spec, dir): r""" Given an InterpreterSpec, writes the C interpreter and the Cython wrapper (generates a pyx and a pxd file). EXAMPLES: sage: from sage.ext.gen_interpreters import * sage: testdir = tmp_filename() sage: os.mkdir(testdir) sage: rdf_interp = RDFInterpreter() sage: build_interp(rdf_...
459,615
def rebuild(dir): r""" Check whether the interpreter and wrapper sources have been written since the last time this module was changed. If not, write them. EXAMPLES: sage: from sage.ext.gen_interpreters import * sage: testdir = tmp_filename() sage: os.mkdir(testdir) sage: rebuild(testdir) Building interpreters for fa...
def rebuild(dir): r""" Check whether the interpreter and wrapper sources have been written since the last time this module was changed. If not, write them. EXAMPLES: sage: from sage.ext.gen_interpreters import * sage: testdir = tmp_filename() sage: os.mkdir(testdir) sage: rebuild(testdir) Building interpreters for fa...
459,616
... def variance(self, bias = False):
... def variance(self, bias = False):
459,617
def __call__(self, x, check=True): """ Convert ``x`` to an element of this multivariate polynomial ring, possibly non-canonically. EXAMPLES:
def __call__(self, x, check=True): """ Convert ``x`` to an element of this multivariate polynomial ring, possibly non-canonically. EXAMPLES:
459,618
def __init__(self, base_ring, name="x", sparse=False, element_class=None, implementation=None): """ TESTS: sage: from sage.rings.polynomial.polynomial_ring import PolynomialRing_field as PRing sage: R = PRing(QQ, 'x'); R Univariate Polynomial Ring in x over Rational Field sage: type(R.gen()) <class 'sage.rings.polynomi...
def __init__(self, base_ring, name="x", sparse=False, element_class=None, implementation=None): """ TESTS: sage: from sage.rings.polynomial.polynomial_ring import PolynomialRing_field as PRing sage: R = PRing(QQ, 'x'); R Univariate Polynomial Ring in x over Rational Field sage: type(R.gen()) <class 'sage.rings.polynomi...
459,619
def _call_element_(self, _the_element, *args, **kwds): """ Calling a callable symbolic expression returns a symbolic expression with the appropriate arguments substituted. EXAMPLES:: sage: var('a, x, y, z') (a, x, y, z) sage: f(x,y) = a + 2*x + 3*y + z sage: f (x, y) |--> a + 2*x + 3*y + z sage: f(1,2) a + z + 8 sage...
def _call_element_(self, _the_element, *args, **kwds): """ Calling a callable symbolic expression returns a symbolic expression with the appropriate arguments substituted. EXAMPLES:: sage: var('a, x, y, z') (a, x, y, z) sage: f(x,y) = a + 2*x + 3*y + z sage: f (x, y) |--> a + 2*x + 3*y + z sage: f(1,2) a + z + 8 sage...
459,620
def show(self, **kwds): """ Show this graphics image with the default image viewer.
def show(self, **kwds): """ Show this graphics image with the default image viewer.
459,621
def get_fake_div(self, ex): """ EXAMPLES::
def get_fake_div(self, ex): """ EXAMPLES::
459,622
def get_fake_div(self, ex): """ EXAMPLES::
def get_fake_div(self, ex): """ EXAMPLES::
459,623
def arithmetic(self, ex, operator): r""" EXAMPLES::
def arithmetic(self, ex, operator): r""" EXAMPLES::
459,624
def _latex_(self): """ Return Latex representation of this Maxima object. This calls the tex command in Maxima, then does a little post-processing to fix bugs in the resulting Maxima output. EXAMPLES:: sage: maxima('sqrt(2) + 1/3 + asin(5)')._latex_() '\\sin^{-1}\\cdot5+\\sqrt{2}+{{1}\\over{3}}'
def _latex_(self): """ Return Latex representation of this Maxima object. This calls the tex command in Maxima, then does a little post-processing to fix bugs in the resulting Maxima output. EXAMPLES:: sage: maxima('sqrt(2) + 1/3 + asin(5)')._latex_() '\\sin^{-1}\\cdot5+\\sqrt{2}+{{1}\\over{3}}'
459,625
def _allowed_options(self): """ Return the allowed options for the Point class.
def _allowed_options(self): """ Return the allowed options for the Point class.
459,626
def _allowed_options(self): """ Return the allowed options for the Point class.
def _allowed_options(self): """ Return the allowed options for the Point class.
459,627
def point(points, **kwds): """ Returns either a 2-dimensional or 3-dimensional point or sum of points. INPUT: - ``points`` - either a single point (as a tuple) or a list of points. For information regarding additional arguments, see either point2d? or point3d?. EXAMPLES:: sage: point((1,2)) sage: point((1,2,3)) s...
def point(points, **kwds): """ Returns either a 2-dimensional or 3-dimensional point or sum of points. INPUT: - ``points`` - either a single point (as a tuple) or a list of points. For information regarding additional arguments, see either point2d? or point3d?. EXAMPLES:: sage: point((1,2)) sage: point((1,2,3)) s...
459,628
def is_divisible_by(self, m): """ Return True if there exists a point `Q` defined over the same field as self such that `mQ` == self.
def is_divisible_by(self, m): """ Return True if there exists a point `Q` defined over the same field as self such that `mQ` == self.
459,629
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
459,630
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
459,631
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
459,632
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
def RealProjectiveSpace(self, n): r""" A triangulation of `\Bold{R}P^n` for any `n \geq 0`.
459,633
def height(self): r""" Returns the height of self.
def height(self): r""" Returns the height of self.
459,634
def width(self): r""" Returns the width of self.
def width(self): r""" Returns the width of self.
459,635
def tikz_trajectory(self): r""" Returns the trajectory of self as a tikz str.
def tikz_trajectory(self): r""" Returns the trajectory of self as a tikz str.
459,636
def tikz_trajectory(self): r""" Returns the trajectory of self as a tikz str.
def tikz_trajectory(self): r""" Returns the trajectory of self as a tikz str.
459,637
def ModularForms(group = 1, weight = 2, base_ring = None, use_cache = True, prec = defaults.DEFAULT_PRECISION): r""" Create an ambient space of modular forms. INPUT: - ``group`` - A congruence subgroup or a Dirichlet character eps. - ``weight`` - int, the weight, which must be an integer = 1. - ``base_ring`` -...
def ModularForms(group = 1, weight = 2, base_ring = None, use_cache = True, prec = defaults.DEFAULT_PRECISION): r""" Create an ambient space of modular forms. INPUT: - ``group`` - A congruence subgroup or a Dirichlet character eps. - ``weight`` - int, the weight, which must be an integer = 1. - ``base_ring`` -...
459,638
def integral(self, x=None, a=None, b=None, definite=False): r""" By default, returns the indefinite integral of the function. If definite=True is given, returns the definite integral.
def integral(self, x=None, a=None, b=None, definite=False): r""" By default, returns the indefinite integral of the function. If definite=True is given, returns the definite integral.
459,639
def canonical_label(self, partition=None, certify=False, verbosity=0, edge_labels=False): """ Returns the unique graph on \{0,1,...,n-1\} ( n = self.order() ) which - is isomorphic to self, - is invariant in the isomorphism class. In other words, given two graphs ``G`` and ``H`` which are isomorphic, suppose ``G_c`` a...
def canonical_label(self, partition=None, certify=False, verbosity=0, edge_labels=False): """ Returns the unique graph on \{0,1,...,n-1\} ( n = self.order() ) which - is isomorphic to self, - is invariant in the isomorphism class. In other words, given two graphs ``G`` and ``H`` which are isomorphic, suppose ``G_c``...
459,640
def canonical_label(self, partition=None, certify=False, verbosity=0, edge_labels=False): """ Returns the unique graph on \{0,1,...,n-1\} ( n = self.order() ) which - is isomorphic to self, - is invariant in the isomorphism class. In other words, given two graphs ``G`` and ``H`` which are isomorphic, suppose ``G_c`` a...
def canonical_label(self, partition=None, certify=False, verbosity=0, edge_labels=False): """ Returns the unique graph on \{0,1,...,n-1\} ( n = self.order() ) which - is isomorphic to self, - is invariant in the isomorphism class. In other words, given two graphs ``G`` and ``H`` which are isomorphic, suppose ``G_c`` a...
459,641
def hasse_diagram(self): """ Returns the Hasse_diagram of the poset as a Sage DiGraph object. EXAMPLES:: sage: Q = Poset({5:[2,3], 1:[3,4], 2:[0], 3:[0], 4:[0]}) sage: Q.hasse_diagram() Digraph on 6 vertices
def hasse_diagram(self): """ Returns the Hasse_diagram of the poset as a Sage DiGraph object. EXAMPLES:: sage: Q = Poset({5:[2,3], 1:[3,4], 2:[0], 3:[0], 4:[0]}) sage: Q.hasse_diagram() Digraph on 6 vertices
459,642
def is_divisible_by(self, m): """ Return True if there exists a point `Q` defined over the same field as self such that `mQ` == self.
def is_divisible_by(self, m): """ Return True if there exists a point `Q` defined over the same field as self such that `mQ` == self.
459,643
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
459,644
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
459,645
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
def evalunitdict(): """ Replace all the string values of the unitdict variable by their evaluated forms, and builds some other tables for ease of use. This function is mainly used internally, for efficiency (and flexibility) purposes, making it easier to describe the units. EXAMPLES:: sage: sage.symbolic.units.evalun...
459,646
def str_to_unit(name): """ Create the symbolic unit with given name. A symbolic unit is a class that derives from symbolic expression, and has a specialized docstring. INPUT: - ``name`` -- string OUTPUT: - UnitExpression EXAMPLES:: sage: sage.symbolic.units.str_to_unit('acre') acre sage: type(sage.symbolic.unit...
def str_to_unit(name): """ Create the symbolic unit with given name. A symbolic unit is a class that derives from symbolic expression, and has a specialized docstring. INPUT: - ``name`` -- string OUTPUT: - UnitExpression EXAMPLES:: sage: sage.symbolic.units.str_to_unit('acre') acre sage: type(sage.symbolic.unit...
459,647
def __init__(self, data, name=''): """ EXAMPLES::
def __init__(self, data, name=''): """ EXAMPLES::
459,648
def __getattr__(self, name): """ Return the unit with the given name.
def __getattr__(self, name): """ Return the unit with the given name.
459,649
def __repr__(self): """ Return string representation of this collection of units.
def __repr__(self): """ Return string representation of this collection of units.
459,650
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,651
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string of symbols over some alphabet. OUTPUT: - A table of frequency of each unique symbol in ``string``. If ``string`` is an empty string, return an empty table. EXAMPLES: The frequency table ...
459,652
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Stop counting my characters!" sage: T = sorted(frequency_table(str).items()) sage: for symbol, co...
459,653
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,654
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,655
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,656
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,657
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,658
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,659
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,660
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
def frequency_table(string): r""" Return the frequency table corresponding to the given string. INPUT: - ``string`` -- a string EXAMPLE:: sage: from sage.coding.source_coding.huffman import frequency_table sage: str = "Sage is my most favorite general purpose computer algebra system" sage: frequency_table(str) {'a'...
459,661
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
459,662
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
459,663
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
459,664
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
def __init__(self, string = None, frequencies = None): r""" Constructor for Huffman
459,665
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
459,666
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
459,667
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
def _build_code_from_tree(self, tree, d, prefix=''): r""" Builds the code corresponding to a given tree and prefix
459,668
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
459,669
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
def_build_code(self,dic):r"""ReturnsaHuffmancodeforeachoneofthegivenelements.INPUT:-``dic``(dictionary)--associatestoeachletterofthealphabetafrequencyoranumberofoccurrences.
459,670
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
459,671
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
459,672
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
def _build_code(self, dic): r""" Returns a Huffman code for each one of the given elements. INPUT: - ``dic`` (dictionary) -- associates to each letter of the alphabet a frequency or a number of occurrences.
459,673
def encode(self, string): r""" Returns an encoding of the given string based on the current encoding table
def encode(self, string): r""" Returns an encoding of the given string based on the current encoding table
459,674
def encode(self, string): r""" Returns an encoding of the given string based on the current encoding table
defencode(self,string):r"""Returnsanencodingofthegivenstringbasedonthecurrentencodingtable
459,675
def encode(self, string): r""" Returns an encoding of the given string based on the current encoding table
def encode(self, string): r""" Returns an encoding of the given string based on the current encoding table
459,676
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,677
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,678
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,679
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,680
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,681
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,682
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
def decode(self, string): r""" Returns a decoded version of the given string corresponding to the current encoding table.
459,683
def encoding_table(self): r""" Returns the current encoding table
def encoding_table(self): r""" Returns the current encoding table
459,684
def encoding_table(self): r""" Returns the current encoding table
def encoding_table(self): r""" Returns the current encoding table
459,685
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
459,686
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
459,687
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
def tree(self): r""" Returns the Huffman tree corresponding to the current encoding
459,688
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
def _generate_edges(self, tree, parent="", bit=""): """ Generate the edges of the given Huffman tree. INPUT: - ``tree`` -- a Huffman binary tree. - ``parent`` -- (default: empty string) a parent vertex with exactly two children. - ``bit`` -- (default: empty string) the bit signifying either the left or right branch...
459,689
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = parent s = "".join([parent, bit]) try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
459,690
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
459,691
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
def _generate_edges(self, tree, father='', id=''): if father=='': u = 'root' else: u = father try: return self._generate_edges(tree[0], father=father+id, id='0') + \ self._generate_edges(tree[1], father=father+id, id='1') + \ ([(u, father+id)] if (father+id) != '' else [])
459,692
def KolakoskiWord(self, alphabet=(1,2)): r""" Returns the Kolakoski word over the given alphabet and starting with the first letter of the alphabet.
def KolakoskiWord(self, alphabet=(1,2)): r""" Returns the Kolakoski word over the given alphabet and starting with the first letter of the alphabet.
459,693
def KolakoskiWord(self, alphabet=(1,2)): r""" Returns the Kolakoski word over the given alphabet and starting with the first letter of the alphabet.
def KolakoskiWord(self, alphabet=(1,2)): r""" Returns the Kolakoski word over the given alphabet and starting with the first letter of the alphabet.
459,694
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
def is_prime(n): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify primality u...
459,695
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
def is_prime(n, flag=0): r""" Returns ``True`` if `n` is prime, and ``False`` otherwise. AUTHORS: - Kevin Stueve kstueve@uw.edu (2010-01-17): delegated calculation to ``n.is_prime()`` INPUT: - ``n`` - the object for which to determine primality OUTPUT: - ``bool`` - True or False .. note:: We do not consid...
459,696
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
459,697
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
def is_prime(n, flag=0): r""" Returns True if `x` is prime, and False otherwise. The result is proven correct - *this is NOT a pseudo-primality test!*. INPUT: - ``flag`` - int - ``0`` (default) - use a combination of algorithms. - ``1`` - certify primality using the Pocklington-Lehmer Test. - ``2`` - certify pri...
459,698
def _call_(self, x): r""" TEST::
def _call_(self, x): r""" TEST::
459,699