ronantakizawa/codereview-bench huggingface dataset:
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:

class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str
        Name of the symbol (e.g., 'x', 'alpha', 'theta').

    **assumptions : bool, optional
        Keyword arguments specifying mathematical properties of the symbol.
        Each assumption must be given as a boolean value (True or False).
        You can override default assumptions in the constructor. Some common assumptions:

        - real : symbol is a real number
        - positive : symbol is strictly greater than 0
        - commutative : symbol commutes with other symbols (default: True)

        See the :ref:`assumptions guide <predicates>` for a complete list.

    Explanation
    -----------
    Symbolic variables represent mathematical symbols that can be used to build expressions.
    They can represent numbers, constants, or other mathematical entities.
    Assumptions guide how SymPy simplifies and evaluates expressions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', real=True, positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

Review comment (suggestion):
I'm not sure an explanation is needed at all. What do you think?

> Symbolic variables represent mathematical symbols that can be used to build expressions.
> They can represent numbers, constants, or other mathematical entities.

I'm not really sure this needs to be explained. 

>  Assumptions guide how SymPy simplifies and evaluates expressions.

This is a really important detail though. 


Code after:

class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    **assumptions
        Boolean keyword arguments specifying mathematical properties of the symbol.
        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list of possible assumptions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

    Greek letters and subscripts:

    >>> alpha = Symbol('alpha')
    >>> alpha #doctest: +SKIP
    α
    >>> alpha_i = Symbol('alpha_i')
    >>> alpha_i #doctest: +SKIP
    αᵢ

    See Also
    --------
    symbols : Create multiple symbols at once
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str
        Name of the symbol (e.g., 'x', 'alpha', 'theta').

    **assumptions : bool, optional
        Keyword arguments specifying mathematical properties of the symbol.
        You can override default assumptions in the constructor. Some common assumptions:

        - real : symbol is a real number
        - positive : symbol is strictly greater than 0
        - commutative : symbol commutes with other symbols (default: True)

        See the :ref:`assumptions guide <predicates>` for a complete list.

    Explanation
    -----------
    Assumptions guide how SymPy simplifies and evaluates expressions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True


Review comment (suggestion):
We should specify that this is referring to multiplication: this doesn't affect whether addition commutes. 

Code after:
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    **assumptions
        Boolean keyword arguments specifying mathematical properties of the symbol.
        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list of possible assumptions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

    Greek letters and subscripts:

    >>> alpha = Symbol('alpha')
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:
        [i.func.name for e in exprs for i in e.atoms(AppliedUndef)])
    if modify is None:
        modify = numbered_string_incr
    while any(x == compare(s) for s in names):
        x = modify(x)
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str
        Name of the symbol (e.g., 'x', 'alpha', 'theta').

    **assumptions : bool, optional
        Keyword arguments specifying mathematical properties of the symbol.
        You can override default assumptions in the constructor. Some common assumptions:

        - real : symbol is a real number
        - positive : symbol is strictly greater than 0
        - commutative : symbol commutes with other symbols (default: True)

        See the :ref:`assumptions guide <predicates>` for a complete list.

    Explanation
    -----------
    Assumptions guide how SymPy simplifies and evaluates expressions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)

Review comment (suggestion):
I think `**assumptions : bool, optional` is confusing. This would probably be better:
- `assumptions : keyword arguments (str -> bool | None)`

Code after:
        [i.func.name for e in exprs for i in e.atoms(AppliedUndef)])
    if modify is None:
        modify = numbered_string_incr
    while any(x == compare(s) for s in names):
        x = modify(x)
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    **assumptions
        Boolean keyword arguments specifying mathematical properties of the symbol.
        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list of possible assumptions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:
    if modify is None:
        modify = numbered_string_incr
    while any(x == compare(s) for s in names):
        x = modify(x)
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str
        Name of the symbol (e.g., 'x', 'alpha', 'theta').

    **assumptions : bool, optional
        Keyword arguments specifying mathematical properties of the symbol.
        You can override default assumptions in the constructor. Some common assumptions:

        - real : symbol is a real number
        - positive : symbol is strictly greater than 0
        - commutative : symbol commutes with other symbols (default: True)

        See the :ref:`assumptions guide <predicates>` for a complete list.

    Explanation
    -----------
    Assumptions guide how SymPy simplifies and evaluates expressions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real

Review comment (suggestion):
> Keyword arguments specifying mathematical properties of the symbol. You can override default assumptions in the constructor. Some common assumptions:

I think something like this would probably be better since it's more concise:
> Keyword arguments specifying mathematical properties of the symbol such as:

Code after:
    if modify is None:
        modify = numbered_string_incr
    while any(x == compare(s) for s in names):
        x = modify(x)
    return _symbol(x, default, **assumptions)


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    **assumptions
        Boolean keyword arguments specifying mathematical properties of the symbol.
        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list of possible assumptions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

    See Also
    --------
    symbols : Create multiple symbols at once
    Dummy   : Unique symbol for internal use
    Wild    : Symbol that matches expressions in pattern matching
    """

    is_comparable = False

    __slots__ = ('name', '_assumptions_orig', '_assumptions0')

    name: str
    _assumptions_orig: dict[str, bool | None]
    _assumptions0: tuple[tuple[str, bool | None], ...]
    _assumptions: StdFactKB

    is_Symbol = True
    is_symbol = True

    @property
    def kind(self):
        if self.is_commutative:
            return NumberKind
        return UndefinedKind

    @property
    def _diff_wrt(self) -> bool:
        """Allow derivatives wrt Symbols.


Review comment (suggestion):
I don't think this explanation for what Dummy symbols are is good. They're not only for internal use and it's not clear what "unique symbol" means imo. 

Code after:
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

    Greek letters and subscripts:

    >>> alpha = Symbol('alpha')
    >>> alpha #doctest: +SKIP
    α
    >>> alpha_i = Symbol('alpha_i')
    >>> alpha_i #doctest: +SKIP
    αᵢ

    See Also
    --------
    symbols : Create multiple symbols at once
    Dummy   : Symbol guaranteed to be distinct from all other symbols, even with the same name
    Wild    : Symbol that matches expressions in pattern matching
    """

    is_comparable = False

    __slots__ = ('name', '_assumptions_orig', '_assumptions0')

    name: str
    _assumptions_orig: dict[str, bool | None]
    _assumptions0: tuple[tuple[str, bool | None], ...]
    _assumptions: StdFactKB

    is_Symbol = True
    is_symbol = True

    @property
    def kind(self):
        if self.is_commutative:
            return NumberKind
        return UndefinedKind

    @property
    def _diff_wrt(self) -> bool:
        """Allow derivatives wrt Symbols.

        Examples
Repository: sympy/sympy
File: sympy/core/symbol.py (Python)

Code before:


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    assumptions : keyword arguments (str -> bool | None)
        Keyword arguments specifying mathematical properties of the symbol such as:

        - real : symbol is a real number
        - positive : symbol is strictly greater than 0
        - commutative : symbol commutes with other symbols under multiplication (default: True)

        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

Review comment (suggestion):
Do you think this might be clearer?
```python
**assumptions : keywords
    Keyword arguments specifying properties (e.g., real=True).
    See the `assumptions guide` for a list.
```
Not sure which I like better. 

Code after:


_uniquely_named_symbol = uniquely_named_symbol


# XXX: We need type: ignore below because Expr and Boolean are incompatible as
# superclasses. Really Symbol should not be a subclass of Boolean.


class Symbol(AtomicExpr, Boolean): # type: ignore
    """
    A symbolic variable.

    Parameters
    ----------
    name : str

    **assumptions
        Boolean keyword arguments specifying mathematical properties of the symbol.
        See the `assumptions guide <https://docs.sympy.org/latest/guides/assumptions.html#predicates>`_
        for a complete list of possible assumptions.

    Examples
    --------
    Create a symbol with no assumptions:

    >>> from sympy import Symbol
    >>> x = Symbol('x')
    >>> x.is_real
    >>> x.is_commutative
    True

    Create a symbol with assumptions:

    >>> y = Symbol('y', positive=True)
    >>> y.is_real
    True
    >>> y.is_positive
    True

    Assumptions affect simplification:

    >>> from sympy import sqrt
    >>> z = Symbol('z', positive=True)
    >>> sqrt(z**2)
    z

    Greek letters and subscripts:

    >>> alpha = Symbol('alpha')
    >>> alpha #doctest: +SKIP
Repository: sympy/sympy
File: sympy/integrals/tests/test_manual.py (Python)

Code before:
        result = manualintegrate(integrand, x)
        assert (result.diff(x) - integrand).simplify() == 0
    a = symbols('a', nonzero=True)
    b, c, f, x = symbols('b c f x')

    # Base Case: n = -3
    check(1/(x**2 + 1)**(S(3)/2))
    check(8/(x**2 + 1)**(S(3)/2))

    # Complex Numeric Case (x^2 + 2x + 2)
    check(1/(x**2 + 2*x + 2)**(S(3)/2))

    # Recursive Case: n = -5
    check(1/(x**2 + 1)**(S(5)/2))
    check(5/(x**2 + 1)**(S(5)/2))

    # For even larger n
    check(1/(x**2 + 1)**(S(7)/2))
    # Symbolic Verification (General Case)
    term_n5 = f/(a*x**2 + b*x + c)**(S(5)/2)
    check(term_n5)

    intg_result = manualintegrate(term_n5, x)
    diff_val = intg_result.diff(x).subs({f:1, a:-1, b:-1, c:-1, x:-1})
    integrand_val = term_n5.subs({f:1, a:-1, b:-1, c:-1, x:-1})
    assert (diff_val - integrand_val).n(chop=True) == 0

def test_mul_pow_derivative():
    assert_is_integral_of(x*sec(x)*tan(x), x*sec(x) - log(tan(x) + sec(x)))
    assert_is_integral_of(x*sec(x)**2, x*tan(x) + log(cos(x)))
    assert_is_integral_of(x**3*Derivative(f(x), (x, 4)),
                          x**3*Derivative(f(x), (x, 3)) - 3*x**2*Derivative(f(x), (x, 2)) +
                          6*x*Derivative(f(x), x) - 6*f(x))


Review comment (suggestion):
You can use `factor` for this
```python
In [7]: factor(manualintegrate(term_n5, x).diff(x) - term_n5)
Out[7]: 0
```

Code after:
    a = symbols('a', nonzero=True)
    b, c, f, x = symbols('b c f x')

    # Base Case: n = -3
    assert_is_integral_of(
        1/(x**2 + 1)**(S(3)/2),
        x/(x**2 + 1)**(S(1)/2)
    )
    assert_is_integral_of(
        8/(x**2 + 1)**(S(3)/2),
        8*x/(x**2 + 1)**(S(1)/2)
    )

    # Complex Numeric Case (x^2 + 2x + 2)
    assert_is_integral_of(
        1/(x**2 + 2*x + 2)**(S(3)/2),
        (4*x + 4)/(4*(x**2 + 2*x + 2)**(S(1)/2))
    )

    # Recursive Case: n = -5
    assert_is_integral_of(
        1/(x**2 + 1)**(S(5)/2),
        x/(3*(x**2 + 1)**(S(3)/2)) + 2*x/(3*(x**2 + 1)**(S(1)/2))
    )
    assert_is_integral_of(
        5/(x**2 + 1)**(S(5)/2),
        5*x/(3*(x**2 + 1)**(S(3)/2)) + 10*x/(3*(x**2 + 1)**(S(1)/2))
    )

    # For even larger n
    assert_is_integral_of(
        1/(x**2 + 1)**(S(7)/2),
        x/(5*(x**2 + 1)**(S(5)/2)) +
        4*x/(15*(x**2 + 1)**(S(3)/2)) +
        8*x/(15*(x**2 + 1)**(S(1)/2))
    )

    # Symbolic Verification (General Case)
    term_n5 = f/(a*x**2 + b*x + c)**(S(5)/2)
    intg_result = manualintegrate(term_n5, x)
    assert factor(intg_result.diff(x) - term_n5) == 0

def test_mul_pow_derivative():
    assert_is_integral_of(x*sec(x)*tan(x), x*sec(x) - log(tan(x) + sec(x)))
    assert_is_integral_of(x*sec(x)**2, x*tan(x) + log(cos(x)))
    assert_is_integral_of(x**3*Derivative(f(x), (x, 4)),
                          x**3*Derivative(f(x), (x, 3)) - 3*x**2*Derivative(f(x), (x, 2)) +
                          6*x*Derivative(f(x), x) - 6*f(x))
Repository: sympy/sympy
File: sympy/utilities/iterables.py (Python)

Code before:
    False <... 'str'>
    False <... 'int'>

    >>> iterable({}, exclude=None)
    True
    >>> iterable({}, exclude=str)
    True
    >>> iterable("no", exclude=str)
    False

    """
    if hasattr(i, '_iterable'):
        return i._iterable
    try:
        iter(i)
    except TypeError:
        return False
    if exclude:
        return not isinstance(i, exclude)
    return True


def is_sequence(
    i: Any,
    include: Optional[Union[Type[Any], Tuple[Type[Any], ...]]] = None
) -> bool:
    """
    Return a boolean indicating whether ``i`` is a sequence in the SymPy
    sense. If anything that fails the test below should be included as
    being a sequence for your application, set 'include' to that object's
    type; multiple types should be passed as a tuple of types.

    Note: although generators can generate a sequence, they often need special
    handling to make sure their elements are captured before the generator is
    exhausted, so these are not included by default in the definition of a
    sequence.

    See also: iterable

    Examples
    ========

    >>> from sympy.utilities.iterables import is_sequence
    >>> from types import GeneratorType
    >>> is_sequence([])
    True
    >>> is_sequence(set())
    False
    >>> is_sequence('abc')
    False
    >>> is_sequence('abc', include=str)

Review comment (suggestion):
The return type here should use `TypeGuard`:
https://typing.python.org/en/latest/spec/narrowing.html#typeguard

Code after:
    True <... 'generator'>
    False <... 'dict'>
    False <... 'str'>
    False <... 'int'>

    >>> iterable({}, exclude=None)
    True
    >>> iterable({}, exclude=str)
    True
    >>> iterable("no", exclude=str)
    False

    """
    if hasattr(i, '_iterable'):
        return i._iterable
    try:
        iter(i)
    except TypeError:
        return False
    if exclude:
        return not isinstance(i, exclude)
    return True


@overload
def is_sequence(
    i: Sequence[T] | Iterable[T],
    include: type | tuple[type, ...] | None = None,
) -> TypeIs[Sequence[T]]: ...


@overload
def is_sequence(
    i: object,
    include: type | tuple[type, ...] | None = None,
) -> TypeIs[Sequence[Any]]: ...


def is_sequence(
    i: object,
    include: type | tuple[type, ...] | None = None,
) -> TypeIs[Sequence[Any]]:
    """
    Return a boolean indicating whether ``i`` is a sequence in the SymPy
    sense. If anything that fails the test below should be included as
    being a sequence for your application, set 'include' to that object's
    type; multiple types should be passed as a tuple of types.

    Note: although generators can generate a sequence, they often need special
    handling to make sure their elements are captured before the generator is
    exhausted, so these are not included by default in the definition of a