本文整理汇总了Python中sympy.tanh函数的典型用法代码示例。如果您正苦于以下问题：Python tanh函数的具体用法？Python tanh怎么用？Python tanh使用的例子？那么恭喜您, 这里精选的函数代码示例或许可以为您提供帮助。
在下文中一共展示了tanh函数的20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，您的评价将有助于我们的系统推荐出更棒的Python代码示例。
示例1: test_tan_rewrite
def test_tan_rewrite():
neg_exp, pos_exp = exp(-x*I), exp(x*I)
assert tan(x).rewrite(exp) == I*(neg_exp - pos_exp)/(neg_exp + pos_exp)
assert tan(x).rewrite(sin) == 2*sin(x)**2/sin(2*x)
assert tan(x).rewrite(cos) == -cos(x + S.Pi/2)/cos(x)
assert tan(x).rewrite(cot) == 1/cot(x)
assert tan(sinh(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, sinh(3)).n()
assert tan(cosh(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cosh(3)).n()
assert tan(tanh(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, tanh(3)).n()
assert tan(coth(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, coth(3)).n()
assert tan(sin(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, sin(3)).n()
assert tan(cos(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cos(3)).n()
assert tan(tan(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, tan(3)).n()
assert tan(cot(x)).rewrite(
exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cot(3)).n()
assert tan(log(x)).rewrite(Pow) == I*(x**-I - x**I)/(x**-I + x**I)
assert 0 == (cos(pi/15)*tan(pi/15) - sin(pi/15)).rewrite(pow)
assert tan(pi/19).rewrite(pow) == tan(pi/19)
assert tan(8*pi/19).rewrite(sqrt) == tan(8*pi/19)
开发者ID:mattpap，项目名称:sympy，代码行数:26，代码来源:test_trigonometric.py
示例2: test_evalc
def test_evalc():
x = Symbol("x", real=True)
y = Symbol("y", real=True)
z = Symbol("z")
assert ((x+I*y)**2).expand(complex=True) == x**2+2*I*x*y - y**2
assert expand_complex(z**(2*I)) == I*im(z**(2*I)) + re(z**(2*I))
assert exp(I*x) != cos(x)+I*sin(x)
assert exp(I*x).expand(complex=True) == cos(x)+I*sin(x)
assert exp(I*x+y).expand(complex=True) == exp(y)*cos(x)+I*sin(x)*exp(y)
assert sin(I*x).expand(complex=True) == I * sinh(x)
assert sin(x+I*y).expand(complex=True) == sin(x)*cosh(y) + \
I * sinh(y) * cos(x)
assert cos(I*x).expand(complex=True) == cosh(x)
assert cos(x+I*y).expand(complex=True) == cos(x)*cosh(y) - \
I * sinh(y) * sin(x)
assert tan(I*x).expand(complex=True) == tanh(x) * I
assert tan(x+I*y).expand(complex=True) == \
((sin(x)*cos(x) + I*cosh(y)*sinh(y)) / (cos(x)**2 + sinh(y)**2)).expand()
assert sinh(I*x).expand(complex=True) == I * sin(x)
assert sinh(x+I*y).expand(complex=True) == sinh(x)*cos(y) + \
I * sin(y) * cosh(x)
assert cosh(I*x).expand(complex=True) == cos(x)
assert cosh(x+I*y).expand(complex=True) == cosh(x)*cos(y) + \
I * sin(y) * sinh(x)
assert tanh(I*x).expand(complex=True) == tan(x) * I
assert tanh(x+I*y).expand(complex=True) == \
((sinh(x)*cosh(x) + I*cos(y)*sin(y)) / (sinh(x)**2 + cos(y)**2)).expand()
开发者ID:BDGLunde，项目名称:sympy，代码行数:34，代码来源:test_complex.py
示例3: test_simplifications
def test_simplifications():
x = Symbol('x')
assert sinh(asinh(x)) == x
assert sinh(acosh(x)) == sqrt(x - 1) * sqrt(x + 1)
assert sinh(atanh(x)) == x/sqrt(1 - x**2)
assert sinh(acoth(x)) == 1/(sqrt(x - 1) * sqrt(x + 1))
assert cosh(asinh(x)) == sqrt(1 + x**2)
assert cosh(acosh(x)) == x
assert cosh(atanh(x)) == 1/sqrt(1 - x**2)
assert cosh(acoth(x)) == x/(sqrt(x - 1) * sqrt(x + 1))
assert tanh(asinh(x)) == x/sqrt(1 + x**2)
assert tanh(acosh(x)) == sqrt(x - 1) * sqrt(x + 1) / x
assert tanh(atanh(x)) == x
assert tanh(acoth(x)) == 1/x
assert coth(asinh(x)) == sqrt(1 + x**2)/x
assert coth(acosh(x)) == x/(sqrt(x - 1) * sqrt(x + 1))
assert coth(atanh(x)) == 1/x
assert coth(acoth(x)) == x
assert csch(asinh(x)) == 1/x
assert csch(acosh(x)) == 1/(sqrt(x - 1) * sqrt(x + 1))
assert csch(atanh(x)) == sqrt(1 - x**2)/x
assert csch(acoth(x)) == sqrt(x - 1) * sqrt(x + 1)
assert sech(asinh(x)) == 1/sqrt(1 + x**2)
assert sech(acosh(x)) == 1/x
assert sech(atanh(x)) == sqrt(1 - x**2)
assert sech(acoth(x)) == sqrt(x - 1) * sqrt(x + 1)/x
开发者ID:certik，项目名称:sympy，代码行数:31，代码来源:test_hyperbolic.py
示例4: test_tanh_rewrite
def test_tanh_rewrite():
x = Symbol('x')
assert tanh(x).rewrite(exp) == (exp(x) - exp(-x))/(exp(x) + exp(-x)) \
== tanh(x).rewrite('tractable')
assert tanh(x).rewrite(sinh) == I*sinh(x)/sinh(I*pi/2 - x)
assert tanh(x).rewrite(cosh) == I*cosh(I*pi/2 - x)/cosh(x)
assert tanh(x).rewrite(coth) == 1/coth(x)
开发者ID:Bercio，项目名称:sympy，代码行数:7，代码来源:test_hyperbolic.py
示例5: test_function_series3
def test_function_series3():
"""
Test our easy "tanh" function.
This test tests two things:
* that the Function interface works as expected and it's easy to use
* that the general algorithm for the series expansion works even when the
derivative is defined recursively in terms of the original function,
since tanh(x).diff(x) == 1-tanh(x)**2
"""
class mytanh(Function):
nargs = 1
def fdiff(self, argindex = 1):
return 1-mytanh(self.args[0])**2
@classmethod
def canonize(cls, arg):
arg = sympify(arg)
if arg == 0:
return sympify(0)
e = tanh(x)
f = mytanh(x)
assert tanh(x).series(x, 0, 6) == mytanh(x).series(x, 0, 6)
开发者ID:jcockayne，项目名称:sympy-rkern，代码行数:26，代码来源:test_interface.py
示例6: test_exp_rewrite
def test_exp_rewrite():
assert exp(x).rewrite(sin) == sinh(x) + cosh(x)
assert exp(x*I).rewrite(cos) == cos(x) + I*sin(x)
assert exp(1).rewrite(cos) == sinh(1) + cosh(1)
assert exp(1).rewrite(sin) == sinh(1) + cosh(1)
assert exp(1).rewrite(sin) == sinh(1) + cosh(1)
assert exp(x).rewrite(tanh) == (1 + tanh(x/2))/(1 - tanh(x/2))
开发者ID:aprasanna，项目名称:sympy，代码行数:7，代码来源:test_exponential.py
示例7: test_tan
def test_tan():
x, y = symbols('x,y')
r = Symbol('r', real=True)
k = Symbol('k', integer=True)
assert tan(nan) == nan
assert tan(oo*I) == I
assert tan(-oo*I) == -I
assert tan(0) == 0
assert tan(atan(x)) == x
assert tan(asin(x)) == x / sqrt(1 - x**2)
assert tan(acos(x)) == sqrt(1 - x**2) / x
assert tan(acot(x)) == 1 / x
assert tan(atan2(y, x)) == y/x
assert tan(pi*I) == tanh(pi)*I
assert tan(-pi*I) == -tanh(pi)*I
assert tan(-2*I) == -tanh(2)*I
assert tan(pi) == 0
assert tan(-pi) == 0
assert tan(2*pi) == 0
assert tan(-2*pi) == 0
assert tan(-3*10**73*pi) == 0
assert tan(pi/2) == zoo
assert tan(3*pi/2) == zoo
assert tan(pi/3) == sqrt(3)
assert tan(-2*pi/3) == sqrt(3)
assert tan(pi/4) == S.One
assert tan(-pi/4) == -S.One
assert tan(17*pi/4) == S.One
assert tan(-3*pi/4) == S.One
assert tan(pi/6) == 1/sqrt(3)
assert tan(-pi/6) == -1/sqrt(3)
assert tan(7*pi/6) == 1/sqrt(3)
assert tan(-5*pi/6) == 1/sqrt(3)
assert tan(x*I) == tanh(x)*I
assert tan(k*pi) == 0
assert tan(17*k*pi) == 0
assert tan(k*pi*I) == tanh(k*pi)*I
assert tan(r).is_real is True
assert tan(10*pi/7) == tan(3*pi/7)
assert tan(11*pi/7) == -tan(3*pi/7)
assert tan(-11*pi/7) == tan(3*pi/7)
开发者ID:malikdiarra，项目名称:sympy，代码行数:58，代码来源:test_trigonometric.py
示例8: test_tan
def test_tan():
assert tan(nan) == nan
assert tan.nargs == FiniteSet(1)
assert tan(oo*I) == I
assert tan(-oo*I) == -I
assert tan(0) == 0
assert tan(atan(x)) == x
assert tan(asin(x)) == x / sqrt(1 - x**2)
assert tan(acos(x)) == sqrt(1 - x**2) / x
assert tan(acot(x)) == 1 / x
assert tan(atan2(y, x)) == y/x
assert tan(pi*I) == tanh(pi)*I
assert tan(-pi*I) == -tanh(pi)*I
assert tan(-2*I) == -tanh(2)*I
assert tan(pi) == 0
assert tan(-pi) == 0
assert tan(2*pi) == 0
assert tan(-2*pi) == 0
assert tan(-3*10**73*pi) == 0
assert tan(pi/2) == zoo
assert tan(3*pi/2) == zoo
assert tan(pi/3) == sqrt(3)
assert tan(-2*pi/3) == sqrt(3)
assert tan(pi/4) == S.One
assert tan(-pi/4) == -S.One
assert tan(17*pi/4) == S.One
assert tan(-3*pi/4) == S.One
assert tan(pi/6) == 1/sqrt(3)
assert tan(-pi/6) == -1/sqrt(3)
assert tan(7*pi/6) == 1/sqrt(3)
assert tan(-5*pi/6) == 1/sqrt(3)
assert tan(x*I) == tanh(x)*I
assert tan(k*pi) == 0
assert tan(17*k*pi) == 0
assert tan(k*pi*I) == tanh(k*pi)*I
assert tan(r).is_real is True
assert tan(0, evaluate=False).is_algebraic
assert tan(a).is_algebraic is None
assert tan(na).is_algebraic is False
assert tan(10*pi/7) == tan(3*pi/7)
assert tan(11*pi/7) == -tan(3*pi/7)
assert tan(-11*pi/7) == tan(3*pi/7)
开发者ID:AdrianPotter，项目名称:sympy，代码行数:57，代码来源:test_trigonometric.py
示例9: test_derivs
def test_derivs():
x = Symbol('x')
assert coth(x).diff(x) == -sinh(x)**(-2)
assert sinh(x).diff(x) == cosh(x)
assert cosh(x).diff(x) == sinh(x)
assert tanh(x).diff(x) == -tanh(x)**2 + 1
assert acoth(x).diff(x) == 1/(-x**2 + 1)
assert asinh(x).diff(x) == 1/sqrt(x**2 + 1)
assert acosh(x).diff(x) == 1/sqrt(x**2 - 1)
assert atanh(x).diff(x) == 1/(-x**2 + 1)
开发者ID:Bercio，项目名称:sympy，代码行数:10，代码来源:test_hyperbolic.py
示例10: splice
def splice(a, b, x0, width, x, dx):
from sympy import tanh
ax = a(x)
bx = b(x)
dax = symdiff(a)(x)
dbx = symdiff(b)(x)
f = ax + (bx-ax) * (1+tanh((x-x0)/width)) / 2
df = (dax
+ (dbx-dax) * (1+tanh((x-x0)/width)) / 2
+ (bx - ax) * (1-tanh((x-x0)/width)**2) / (2*width)) * dx
return f, df
开发者ID:xyuan，项目名称:dohp，代码行数:11，代码来源:vhtexact.py
示例11: test_trigsimp1a
def test_trigsimp1a():
assert trigsimp(sin(2)**2*cos(3)*exp(2)/cos(2)**2) == tan(2)**2*cos(3)*exp(2)
assert trigsimp(tan(2)**2*cos(3)*exp(2)*cos(2)**2) == sin(2)**2*cos(3)*exp(2)
assert trigsimp(cot(2)*cos(3)*exp(2)*sin(2)) == cos(3)*exp(2)*cos(2)
assert trigsimp(tan(2)*cos(3)*exp(2)/sin(2)) == cos(3)*exp(2)/cos(2)
assert trigsimp(cot(2)*cos(3)*exp(2)/cos(2)) == cos(3)*exp(2)/sin(2)
assert trigsimp(cot(2)*cos(3)*exp(2)*tan(2)) == cos(3)*exp(2)
assert trigsimp(sinh(2)*cos(3)*exp(2)/cosh(2)) == tanh(2)*cos(3)*exp(2)
assert trigsimp(tanh(2)*cos(3)*exp(2)*cosh(2)) == sinh(2)*cos(3)*exp(2)
assert trigsimp(coth(2)*cos(3)*exp(2)*sinh(2)) == cosh(2)*cos(3)*exp(2)
assert trigsimp(tanh(2)*cos(3)*exp(2)/sinh(2)) == cos(3)*exp(2)/cosh(2)
assert trigsimp(coth(2)*cos(3)*exp(2)/cosh(2)) == cos(3)*exp(2)/sinh(2)
assert trigsimp(coth(2)*cos(3)*exp(2)*tanh(2)) == cos(3)*exp(2)
开发者ID:baoqchau，项目名称:sympy，代码行数:13，代码来源:test_trigsimp.py
示例12: test_simplifications
def test_simplifications():
x = Symbol("x")
assert sinh(asinh(x)) == x
assert sinh(acosh(x)) == sqrt(x - 1) * sqrt(x + 1)
assert sinh(atanh(x)) == x / sqrt(1 - x ** 2)
assert cosh(asinh(x)) == sqrt(1 + x ** 2)
assert cosh(acosh(x)) == x
assert cosh(atanh(x)) == 1 / sqrt(1 - x ** 2)
assert tanh(asinh(x)) == x / sqrt(1 + x ** 2)
assert tanh(acosh(x)) == sqrt(x - 1) * sqrt(x + 1) / x
assert tanh(atanh(x)) == x
开发者ID:rkern，项目名称:sympy-rkern，代码行数:13，代码来源:test_hyperbolic.py
示例13: test_cos_rewrite
def test_cos_rewrite():
assert cos(x).rewrite(exp) == exp(I * x) / 2 + exp(-I * x) / 2
assert cos(x).rewrite(tan) == (1 - tan(x / 2) ** 2) / (1 + tan(x / 2) ** 2)
assert cos(x).rewrite(cot) == -(1 - cot(x / 2) ** 2) / (1 + cot(x / 2) ** 2)
assert cos(sinh(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, sinh(3)).n()
assert cos(cosh(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, cosh(3)).n()
assert cos(tanh(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, tanh(3)).n()
assert cos(coth(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, coth(3)).n()
assert cos(sin(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, sin(3)).n()
assert cos(cos(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, cos(3)).n()
assert cos(tan(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, tan(3)).n()
assert cos(cot(x)).rewrite(exp).subs(x, 3).n() == cos(x).rewrite(exp).subs(x, cot(3)).n()
assert cos(log(x)).rewrite(Pow) == x ** I / 2 + x ** -I / 2
开发者ID:rpmuller，项目名称:sympy，代码行数:13，代码来源:test_trigonometric.py
示例14: test_sin_rewrite
def test_sin_rewrite():
assert sin(x).rewrite(exp) == -I * (exp(I * x) - exp(-I * x)) / 2
assert sin(x).rewrite(tan) == 2 * tan(x / 2) / (1 + tan(x / 2) ** 2)
assert sin(x).rewrite(cot) == 2 * cot(x / 2) / (1 + cot(x / 2) ** 2)
assert sin(sinh(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, sinh(3)).n()
assert sin(cosh(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, cosh(3)).n()
assert sin(tanh(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, tanh(3)).n()
assert sin(coth(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, coth(3)).n()
assert sin(sin(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, sin(3)).n()
assert sin(cos(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, cos(3)).n()
assert sin(tan(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, tan(3)).n()
assert sin(cot(x)).rewrite(exp).subs(x, 3).n() == sin(x).rewrite(exp).subs(x, cot(3)).n()
assert sin(log(x)).rewrite(Pow) == I * x ** -I / 2 - I * x ** I / 2
开发者ID:rpmuller，项目名称:sympy，代码行数:13，代码来源:test_trigonometric.py
示例15: test_cot_rewrite
def test_cot_rewrite():
x = Symbol('x')
neg_exp, pos_exp = exp(-x*I), exp(x*I)
assert cot(x).rewrite(exp) == I*(pos_exp+neg_exp)/(pos_exp-neg_exp)
assert cot(x).rewrite(sin) == 2*sin(2*x)/sin(x)**2
assert cot(x).rewrite(cos) == -cos(x)/cos(x + S.Pi/2)
assert cot(x).rewrite(tan) == 1/tan(x)
assert cot(sinh(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, sinh(3)).n()
assert cot(cosh(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, cosh(3)).n()
assert cot(tanh(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, tanh(3)).n()
assert cot(coth(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, coth(3)).n()
assert cot(sin(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, sin(3)).n()
assert cot(tan(x)).rewrite(exp).subs(x, 3).n() == cot(x).rewrite(exp).subs(x, tan(3)).n()
assert cot(log(x)).rewrite(Pow) == -I*(x**-I + x**I)/(x**-I - x**I)
开发者ID:aeberspaecher，项目名称:sympy，代码行数:14，代码来源:test_trigonometric.py
示例16: test_derivs
def test_derivs():
x = Symbol('x')
assert coth(x).diff(x) == -sinh(x)**(-2)
assert sinh(x).diff(x) == cosh(x)
assert cosh(x).diff(x) == sinh(x)
assert tanh(x).diff(x) == -tanh(x)**2 + 1
assert csch(x).diff(x) == -coth(x)*csch(x)
assert sech(x).diff(x) == -tanh(x)*sech(x)
assert acoth(x).diff(x) == 1/(-x**2 + 1)
assert asinh(x).diff(x) == 1/sqrt(x**2 + 1)
assert acosh(x).diff(x) == 1/sqrt(x**2 - 1)
assert atanh(x).diff(x) == 1/(-x**2 + 1)
assert asech(x).diff(x) == -1/(x*sqrt(1 - x**2))
assert acsch(x).diff(x) == -1/(x**2*sqrt(1 + x**(-2)))
开发者ID:certik，项目名称:sympy，代码行数:14，代码来源:test_hyperbolic.py
示例17: test_sign_assumptions
def test_sign_assumptions():
p = Symbol('p', positive=True)
n = Symbol('n', negative=True)
assert sinh(n).is_negative is True
assert sinh(p).is_positive is True
assert cosh(n).is_positive is True
assert cosh(p).is_positive is True
assert tanh(n).is_negative is True
assert tanh(p).is_positive is True
assert csch(n).is_negative is True
assert csch(p).is_positive is True
assert sech(n).is_positive is True
assert sech(p).is_positive is True
assert coth(n).is_negative is True
assert coth(p).is_positive is True
开发者ID:KonstantinTogoi，项目名称:sympy，代码行数:15，代码来源:test_hyperbolic.py
示例18: test_hyper_as_trig
def test_hyper_as_trig():
from sympy.simplify.fu import _osborne, _osbornei
eq = sinh(x)**2 + cosh(x)**2
t, f = hyper_as_trig(eq)
assert f(fu(t)) == cosh(2*x)
assert _osborne(cosh(x)) == cos(x)
assert _osborne(sinh(x)) == I*sin(x)
assert _osborne(tanh(x)) == I*tan(x)
assert _osborne(coth(x)) == cot(x)/I
assert _osbornei(cos(x)) == cosh(x)
assert _osbornei(sin(x)) == sinh(x)/I
assert _osbornei(tan(x)) == tanh(x)/I
assert _osbornei(cot(x)) == coth(x)*I
assert _osbornei(sec(x)) == 1/cosh(x)
assert _osbornei(csc(x)) == I/sinh(x)
开发者ID:AALEKH，项目名称:sympy，代码行数:16，代码来源:test_fu.py
示例19: test_heurisch_trigonometric
def test_heurisch_trigonometric():
assert heurisch(sin(x), x) == -cos(x)
assert heurisch(pi*sin(x) + 1, x) == x - pi*cos(x)
assert heurisch(cos(x), x) == sin(x)
assert heurisch(tan(x), x) in [
log(1 + tan(x)**2)/2,
log(tan(x) + I) + I*x,
log(tan(x) - I) - I*x,
]
assert heurisch(sin(x)*sin(y), x) == -cos(x)*sin(y)
assert heurisch(sin(x)*sin(y), y) == -cos(y)*sin(x)
# gives sin(x) in answer when run via setup.py and cos(x) when run via py.test
assert heurisch(sin(x)*cos(x), x) in [sin(x)**2 / 2, -cos(x)**2 / 2]
assert heurisch(cos(x)/sin(x), x) == log(sin(x))
assert heurisch(x*sin(7*x), x) == sin(7*x) / 49 - x*cos(7*x) / 7
assert heurisch(1/pi/4 * x**2*cos(x), x) == 1/pi/4*(x**2*sin(x) -
2*sin(x) + 2*x*cos(x))
assert heurisch(acos(x/4) * asin(x/4), x) == 2*x - (sqrt(16 - x**2))*asin(x/4) \
+ (sqrt(16 - x**2))*acos(x/4) + x*asin(x/4)*acos(x/4)
assert heurisch(sin(x)/(cos(x)**2+1), x) == -atan(cos(x)) #fixes issue 13723
assert heurisch(1/(cos(x)+2), x) == 2*sqrt(3)*atan(sqrt(3)*tan(x/2)/3)/3
assert heurisch(2*sin(x)*cos(x)/(sin(x)**4 + 1), x) == atan(sqrt(2)*sin(x)
- 1) - atan(sqrt(2)*sin(x) + 1)
assert heurisch(1/cosh(x), x) == 2*atan(tanh(x/2))
开发者ID:KonstantinTogoi，项目名称:sympy，代码行数:31，代码来源:test_heurisch.py
示例20: test_tan_rewrite
def test_tan_rewrite():
x = Symbol('x')
neg_exp, pos_exp = exp(-x*I), exp(x*I)
assert tan(x).rewrite(exp) == I*(neg_exp-pos_exp)/(neg_exp+pos_exp)
assert tan(x).rewrite(sin) == 2*sin(x)**2/sin(2*x)
assert tan(x).rewrite(cos) == -cos(x + S.Pi/2)/cos(x)
assert tan(x).rewrite(cot) == 1/cot(x)
assert tan(sinh(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, sinh(3)).n()
assert tan(cosh(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cosh(3)).n()
assert tan(tanh(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, tanh(3)).n()
assert tan(coth(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, coth(3)).n()
assert tan(sin(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, sin(3)).n()
assert tan(cos(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cos(3)).n()
assert tan(tan(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, tan(3)).n()
assert tan(cot(x)).rewrite(exp).subs(x, 3).n() == tan(x).rewrite(exp).subs(x, cot(3)).n()
assert tan(log(x)).rewrite(Pow) == I*(x**-I - x**I)/(x**-I + x**I)
开发者ID:aeberspaecher，项目名称:sympy，代码行数:16，代码来源:test_trigonometric.py
注：本文中的sympy.tanh函数示例由纯净天空整理自Github/MSDocs等源码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。 |
客服电话
APP下载
官方微信
请发表评论