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Python Q.rational方法代码示例

本文整理汇总了Python中sympy.assumptions.Q.rational方法的典型用法代码示例。如果您正苦于以下问题：Python Q.rational方法的具体用法？Python Q.rational怎么用？Python Q.rational使用的例子？那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类sympy.assumptions.Q的用法示例。


在下文中一共展示了Q.rational方法的15个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: test_float_1

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_float_1():
    z = 1.0
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == True
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == True
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == True

    z = 7.2123
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich，项目名称:sympy，代码行数:36，代码来源:test_query.py

示例2: Pow

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
 def Pow(expr, assumptions):
     """
     Rational ** Integer      -> Rational
     Irrational ** Rational   -> Irrational
     Rational ** Irrational   -> ?
     """
     if ask(Q.integer(expr.exp), assumptions):
         return ask(Q.rational(expr.base), assumptions)
     elif ask(Q.rational(expr.exp), assumptions):
         if ask(Q.prime(expr.base), assumptions):
             return False
开发者ID:Tarang1993，项目名称:sympy，代码行数:13，代码来源:sets.py

示例3: test_I

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_I():
    I = S.ImaginaryUnit
    z = I
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == True
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = 1 + I
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = I*(1+I)
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich，项目名称:sympy，代码行数:54，代码来源:test_query.py

示例4: Basic

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
 def Basic(expr, assumptions):
     _real = ask(Q.real(expr), assumptions)
     if _real:
         _rational = ask(Q.rational(expr), assumptions)
         if _rational is None: return None
         return not _rational
     else: return _real
开发者ID:101man，项目名称:sympy，代码行数:9，代码来源:sets.py

示例5: test_odd

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_odd():
    x, y, z, t = symbols('x,y,z,t')
    assert ask(Q.odd(x)) == None
    assert ask(Q.odd(x), Q.odd(x)) == True
    assert ask(Q.odd(x), Q.integer(x)) == None
    assert ask(Q.odd(x), ~Q.integer(x)) == False
    assert ask(Q.odd(x), Q.rational(x)) == None
    assert ask(Q.odd(x), Q.positive(x)) == None

    assert ask(Q.odd(-x), Q.odd(x)) == True

    assert ask(Q.odd(2*x)) == None
    assert ask(Q.odd(2*x), Q.integer(x)) == False
    assert ask(Q.odd(2*x), Q.odd(x)) == False
    assert ask(Q.odd(2*x), Q.irrational(x)) == False
    assert ask(Q.odd(2*x), ~Q.integer(x)) == None
    assert ask(Q.odd(3*x), Q.integer(x)) == None

    assert ask(Q.odd(x/3), Q.odd(x)) == None
    assert ask(Q.odd(x/3), Q.even(x)) == None

    assert ask(Q.odd(x+1), Q.even(x)) == True
    assert ask(Q.odd(x+2), Q.even(x)) == False
    assert ask(Q.odd(x+2), Q.odd(x))  == True
    assert ask(Q.odd(3-x), Q.odd(x))  == False
    assert ask(Q.odd(3-x), Q.even(x))  == True
    assert ask(Q.odd(3+x), Q.odd(x))  == False
    assert ask(Q.odd(3+x), Q.even(x))  == True
    assert ask(Q.odd(x+y), Q.odd(x) & Q.odd(y)) == False
    assert ask(Q.odd(x+y), Q.odd(x) & Q.even(y)) == True
    assert ask(Q.odd(x-y), Q.even(x) & Q.odd(y)) == True
    assert ask(Q.odd(x-y), Q.odd(x) & Q.odd(y)) == False

    assert ask(Q.odd(x+y+z), Q.odd(x) & Q.odd(y) & Q.even(z)) == False
    assert ask(Q.odd(x+y+z+t),
               Q.odd(x) & Q.odd(y) & Q.even(z) & Q.integer(t)) == None

    assert ask(Q.odd(2*x + 1), Q.integer(x)) == True
    assert ask(Q.odd(2*x + y), Q.integer(x) & Q.odd(y)) == True
    assert ask(Q.odd(2*x + y), Q.integer(x) & Q.even(y)) == False
    assert ask(Q.odd(2*x + y), Q.integer(x) & Q.integer(y)) == None
    assert ask(Q.odd(x*y), Q.odd(x) & Q.even(y)) == False
    assert ask(Q.odd(x*y), Q.odd(x) & Q.odd(y)) == True
    assert ask(Q.odd(2*x*y), Q.rational(x) & Q.rational(x)) == None
    assert ask(Q.odd(2*x*y), Q.irrational(x) & Q.irrational(x)) == None

    assert ask(Q.odd(Abs(x)), Q.odd(x)) == True
开发者ID:lazovich，项目名称:sympy，代码行数:49，代码来源:test_query.py

示例6: test_even

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_even():
    x, y, z, t = symbols('x,y,z,t')
    assert ask(Q.even(x)) == None
    assert ask(Q.even(x), Q.integer(x)) == None
    assert ask(Q.even(x), ~Q.integer(x)) == False
    assert ask(Q.even(x), Q.rational(x)) == None
    assert ask(Q.even(x), Q.positive(x)) == None

    assert ask(Q.even(2*x)) == None
    assert ask(Q.even(2*x), Q.integer(x)) == True
    assert ask(Q.even(2*x), Q.even(x)) == True
    assert ask(Q.even(2*x), Q.irrational(x)) == False
    assert ask(Q.even(2*x), Q.odd(x)) == True
    assert ask(Q.even(2*x), ~Q.integer(x)) == None
    assert ask(Q.even(3*x), Q.integer(x)) == None
    assert ask(Q.even(3*x), Q.even(x)) == True
    assert ask(Q.even(3*x), Q.odd(x)) == False

    assert ask(Q.even(x+1), Q.odd(x)) == True
    assert ask(Q.even(x+1), Q.even(x)) == False
    assert ask(Q.even(x+2), Q.odd(x)) == False
    assert ask(Q.even(x+2), Q.even(x)) == True
    assert ask(Q.even(7-x), Q.odd(x)) == True
    assert ask(Q.even(7+x), Q.odd(x)) == True
    assert ask(Q.even(x+y), Q.odd(x) & Q.odd(y)) == True
    assert ask(Q.even(x+y), Q.odd(x) & Q.even(y)) == False
    assert ask(Q.even(x+y), Q.even(x) & Q.even(y)) == True

    assert ask(Q.even(2*x + 1), Q.integer(x)) == False
    assert ask(Q.even(2*x*y), Q.rational(x) & Q.rational(x)) == None
    assert ask(Q.even(2*x*y), Q.irrational(x) & Q.irrational(x)) == None

    assert ask(Q.even(x+y+z), Q.odd(x) & Q.odd(y) & Q.even(z)) == True
    assert ask(Q.even(x+y+z+t),
               Q.odd(x) & Q.odd(y) & Q.even(z) & Q.integer(t)) == None

    assert ask(Q.even(Abs(x)), Q.even(x)) == True
    assert ask(Q.even(Abs(x)), ~Q.even(x)) == None
    assert ask(Q.even(re(x)), Q.even(x)) == True
    assert ask(Q.even(re(x)), ~Q.even(x)) == None
    assert ask(Q.even(im(x)), Q.even(x)) == True
    assert ask(Q.even(im(x)), Q.real(x)) == True
开发者ID:lazovich，项目名称:sympy，代码行数:44，代码来源:test_query.py

示例7: Pow

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
    def Pow(expr, assumptions):
        """
        Imaginary**Odd        -> Imaginary
        Imaginary**Even       -> Real
        b**Imaginary          -> !Imaginary if exponent is an integer multiple of I*pi/log(b)
        Imaginary**Real       -> ?
        Positive**Real        -> Real
        Negative**Integer     -> Real
        Negative**(Integer/2) -> Imaginary
        Negative**Real        -> not Imaginary if exponent is not Rational
        """
        if expr.is_number:
            return AskImaginaryHandler._number(expr, assumptions)

        if expr.base.func == exp:
            if ask(Q.imaginary(expr.base.args[0]), assumptions):
                if ask(Q.imaginary(expr.exp), assumptions):
                    return False
                i = expr.base.args[0]/I/pi
                if ask(Q.integer(2*i), assumptions):
                    return ask(Q.imaginary(((-1)**i)**expr.exp), assumptions)

        if ask(Q.imaginary(expr.base), assumptions):
            if ask(Q.integer(expr.exp), assumptions):
                odd = ask(Q.odd(expr.exp), assumptions)
                if odd is not None:
                    return odd
                return

        if ask(Q.imaginary(expr.exp), assumptions):
            imlog = ask(Q.imaginary(log(expr.base)), assumptions)
            if imlog is not None:
                return False  # I**i -> real; (2*I)**i -> complex ==> not imaginary

        if ask(Q.real(expr.base) & Q.real(expr.exp), assumptions):
            if ask(Q.positive(expr.base), assumptions):
                return False
            else:
                rat = ask(Q.rational(expr.exp), assumptions)
                if not rat:
                    return rat
                if ask(Q.integer(expr.exp), assumptions):
                    return False
                else:
                    half = ask(Q.integer(2*expr.exp), assumptions)
                    if half:
                        return ask(Q.negative(expr.base), assumptions)
                    return half
开发者ID:Davidjohnwilson，项目名称:sympy，代码行数:50，代码来源:sets.py

示例8: test_E

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_E():
    z = S.Exp1
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich，项目名称:sympy，代码行数:19，代码来源:test_query.py

示例9: test_zero_0

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_zero_0():
    z = Integer(0)
    assert ask(Q.nonzero(z))          == False
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == True
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == True
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == True
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich，项目名称:sympy，代码行数:19，代码来源:test_query.py

示例10: test_Rational_number

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_Rational_number():
    r = Rational(3,4)
    assert ask(Q.commutative(r))      == True
    assert ask(Q.integer(r))          == False
    assert ask(Q.rational(r))         == True
    assert ask(Q.real(r))             == True
    assert ask(Q.complex(r))          == True
    assert ask(Q.irrational(r))       == False
    assert ask(Q.imaginary(r))        == False
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False
    assert ask(Q.even(r))             == False
    assert ask(Q.odd(r))              == False
    assert ask(Q.bounded(r))          == True
    assert ask(Q.infinitesimal(r))    == False
    assert ask(Q.prime(r))            == False
    assert ask(Q.composite(r))        == False

    r = Rational(1,4)
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False

    r = Rational(5,4)
    assert ask(Q.negative(r))         == False
    assert ask(Q.positive(r))         == True

    r = Rational(5,3)
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False

    r = Rational(-3,4)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True

    r = Rational(-1,4)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True

    r = Rational(-5,4)
    assert ask(Q.negative(r))         == True
    assert ask(Q.positive(r))         == False

    r = Rational(-5,3)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True
开发者ID:lazovich，项目名称:sympy，代码行数:47，代码来源:test_query.py

示例11: Pow

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
    def Pow(expr, assumptions):
        """
        Imaginary**integer/odd  -> Imaginary
        Imaginary**integer/even -> Real if integer % 2 == 0
        b**Imaginary            -> !Imaginary if exponent is an integer multiple of I*pi/log(b)
        Imaginary**Real         -> ?
        Negative**even root     -> Imaginary
        Negative**odd root      -> Real
        Negative**Real          -> Imaginary
        Real**Integer           -> Real
        Real**Positive          -> Real
        """
        if expr.is_number:
            return AskImaginaryHandler._number(expr, assumptions)

        if expr.base.func == C.exp:
            if ask(Q.imaginary(expr.base.args[0]), assumptions):
                if ask(Q.imaginary(expr.exp), assumptions):
                    return False
                i = expr.base.args[0]/I/pi
                if ask(Q.integer(2*i), assumptions):
                    return ask(Q.imaginary(((-1)**i)**expr.exp), assumptions)

        if ask(Q.imaginary(expr.base), assumptions):
            if ask(Q.integer(expr.exp), assumptions):
                odd = ask(Q.odd(expr.exp), assumptions)
                if odd is not None:
                    return odd
                return

        if ask(Q.imaginary(expr.exp), assumptions):
            imlog = ask(Q.imaginary(C.log(expr.base)), assumptions)
            if imlog is not None:
                return False  # I**i -> real; (2*I)**i -> complex ==> not imaginary

        if ask(Q.real(expr.base), assumptions):
            if ask(Q.real(expr.exp), assumptions):
                if ask(Q.rational(expr.exp) & Q.even(denom(expr.exp)), assumptions):
                    return ask(Q.negative(expr.base), assumptions)
                elif ask(Q.integer(expr.exp), assumptions):
                    return False
                elif ask(Q.positive(expr.base), assumptions):
                    return False
                elif ask(Q.negative(expr.base), assumptions):
                    return True
开发者ID:B-Rich，项目名称:sympy，代码行数:47，代码来源:sets.py

示例12: test_infinity

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_infinity():
    oo = S.Infinity
    assert ask(Q.commutative(oo))     == True
    assert ask(Q.integer(oo))         == False
    assert ask(Q.rational(oo))        == False
    assert ask(Q.real(oo))            == False
    assert ask(Q.extended_real(oo))   == True
    assert ask(Q.complex(oo))         == False
    assert ask(Q.irrational(oo))      == False
    assert ask(Q.imaginary(oo))       == False
    assert ask(Q.positive(oo))        == True
    assert ask(Q.negative(oo))        == False
    assert ask(Q.even(oo))            == False
    assert ask(Q.odd(oo))             == False
    assert ask(Q.bounded(oo))         == False
    assert ask(Q.infinitesimal(oo))   == False
    assert ask(Q.prime(oo))           == False
    assert ask(Q.composite(oo))       == False
开发者ID:lazovich，项目名称:sympy，代码行数:20，代码来源:test_query.py

示例13: test_neg_infinity

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_neg_infinity():
    mm = S.NegativeInfinity
    assert ask(Q.commutative(mm))    == True
    assert ask(Q.integer(mm))        == False
    assert ask(Q.rational(mm))       == False
    assert ask(Q.real(mm))           == False
    assert ask(Q.extended_real(mm))  == True
    assert ask(Q.complex(mm))        == False
    assert ask(Q.irrational(mm))     == False
    assert ask(Q.imaginary(mm))      == False
    assert ask(Q.positive(mm))       == False
    assert ask(Q.negative(mm))       == True
    assert ask(Q.even(mm))           == False
    assert ask(Q.odd(mm))            == False
    assert ask(Q.bounded(mm))        == False
    assert ask(Q.infinitesimal(mm))  == False
    assert ask(Q.prime(mm))          == False
    assert ask(Q.composite(mm))      == False
开发者ID:lazovich，项目名称:sympy，代码行数:20，代码来源:test_query.py

示例14: test_nan

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_nan():
    nan = S.NaN
    assert ask(Q.commutative(nan))   == True
    assert ask(Q.integer(nan))       == False
    assert ask(Q.rational(nan))      == False
    assert ask(Q.real(nan))          == False
    assert ask(Q.extended_real(nan)) == False
    assert ask(Q.complex(nan))       == False
    assert ask(Q.irrational(nan))    == False
    assert ask(Q.imaginary(nan))     == False
    assert ask(Q.positive(nan))      == False
    assert ask(Q.nonzero(nan))       == True
    assert ask(Q.even(nan))          == False
    assert ask(Q.odd(nan))           == False
    assert ask(Q.bounded(nan))       == False
    assert ask(Q.infinitesimal(nan)) == False
    assert ask(Q.prime(nan))         == False
    assert ask(Q.composite(nan))     == False
开发者ID:lazovich，项目名称:sympy，代码行数:20，代码来源:test_query.py

示例15: test_integer

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import rational [as 别名]
def test_integer():
    x = symbols('x')
    assert ask(Q.integer(x)) == None
    assert ask(Q.integer(x), Q.integer(x)) == True
    assert ask(Q.integer(x), ~Q.integer(x)) == False
    assert ask(Q.integer(x), ~Q.real(x)) == False
    assert ask(Q.integer(x), ~Q.positive(x)) == None
    assert ask(Q.integer(x), Q.even(x) | Q.odd(x)) == True

    assert ask(Q.integer(2*x), Q.integer(x)) == True
    assert ask(Q.integer(2*x), Q.even(x)) == True
    assert ask(Q.integer(2*x), Q.prime(x)) == True
    assert ask(Q.integer(2*x), Q.rational(x)) == None
    assert ask(Q.integer(2*x), Q.real(x)) == None
    assert ask(Q.integer(sqrt(2)*x), Q.integer(x)) == False

    assert ask(Q.integer(x/2), Q.odd(x)) == False
    assert ask(Q.integer(x/2), Q.even(x)) == True
    assert ask(Q.integer(x/3), Q.odd(x)) == None
    assert ask(Q.integer(x/3), Q.even(x)) == None
开发者ID:lazovich，项目名称:sympy，代码行数:22，代码来源:test_query.py


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