本文整理汇总了Python中sympy.core.basic.C.sin方法的典型用法代码示例。如果您正苦于以下问题：Python C.sin方法的具体用法？Python C.sin怎么用？Python C.sin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.core.basic.C的用法示例。
在下文中一共展示了C.sin方法的11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: _eval_expand_complex
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def _eval_expand_complex(self, *args):
if self.args[0].is_real:
return self
re, im = self.args[0].as_real_imag()
denom = sinh(re)**2 + C.sin(im)**2
return (sinh(re)*cosh(re) - \
S.ImaginaryUnit*C.sin(im)*C.cos(im))/denom示例2: solve_ODE_second_order
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def solve_ODE_second_order(eq, f):
"""
solves many kinds of second order odes, different methods are used
depending on the form of the given equation. So far the constants
coefficients case and a special case are implemented.
"""
x = f.args[0]
f = f.func
#constant coefficients case: af''(x)+bf'(x)+cf(x)=0
a = Wild('a', exclude=[x])
b = Wild('b', exclude=[x])
c = Wild('c', exclude=[x])
r = eq.match(a*f(x).diff(x,x) + c*f(x))
if r:
return Symbol("C1")*C.sin(sqrt(r[c]/r[a])*x)+Symbol("C2")*C.cos(sqrt(r[c]/r[a])*x)
r = eq.match(a*f(x).diff(x,x) + b*diff(f(x),x) + c*f(x))
if r:
r1 = solve(r[a]*x**2 + r[b]*x + r[c], x)
if r1[0].is_real:
if len(r1) == 1:
return (Symbol("C1") + Symbol("C2")*x)*exp(r1[0]*x)
else:
return Symbol("C1")*exp(r1[0]*x) + Symbol("C2")*exp(r1[1]*x)
else:
r2 = abs((r1[0] - r1[1])/(2*S.ImaginaryUnit))
return (Symbol("C2")*C.cos(r2*x) + Symbol("C1")*C.sin(r2*x))*exp((r1[0] + r1[1])*x/2)
#other cases of the second order odes will be implemented here
#special equations, that we know how to solve
a = Wild('a')
t = x*exp(f(x))
tt = a*t.diff(x, x)/t
r = eq.match(tt.expand())
if r:
return -solve_ODE_1(f(x), x)
t = x*exp(-f(x))
tt = a*t.diff(x, x)/t
r = eq.match(tt.expand())
if r:
#check, that we've rewritten the equation correctly:
#assert ( r[a]*t.diff(x,2)/t ) == eq.subs(f, t)
return solve_ODE_1(f(x), x)
neq = eq*exp(f(x))/exp(-f(x))
r = neq.match(tt.expand())
if r:
#check, that we've rewritten the equation correctly:
#assert ( t.diff(x,2)*r[a]/t ).expand() == eq
return solve_ODE_1(f(x), x)
raise NotImplementedError("solve_ODE_second_order: cannot solve " + str(eq))示例3: as_real_imag
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def as_real_imag(self, deep=True, **hints):
if self.args[0].is_real:
if deep:
return (self.expand(deep, **hints), S.Zero)
else:
return (self, S.Zero)
if deep:
re, im = self.args[0].expand(deep, **hints).as_real_imag()
else:
re, im = self.args[0].as_real_imag()
denom = sinh(re) ** 2 + C.sin(im) ** 2
return (sinh(re) * cosh(re) / denom, -C.sin(im) * C.cos(im) / denom)示例4: _eval_expand_complex
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def _eval_expand_complex(self, deep=True, **hints):
if self.args[0].is_real:
if deep:
return self.expand(deep, **hints)
else:
return self
if deep:
re, im = self.args[0].expand(deep, **hints).as_real_imag()
else:
re, im = self.args[0].as_real_imag()
denom = sinh(re)**2 + C.sin(im)**2
return (sinh(re)*cosh(re) - \
S.ImaginaryUnit*C.sin(im)*C.cos(im))/denom示例5: eval
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def eval(cls, arg):
arg = sympify(arg)
if arg.is_Number:
if arg is S.NaN:
return S.NaN
elif arg is S.Infinity:
return S.Infinity
elif arg is S.NegativeInfinity:
return S.NegativeInfinity
elif arg is S.Zero:
return S.Zero
elif arg.is_negative:
return -cls(-arg)
else:
i_coeff = arg.as_coefficient(S.ImaginaryUnit)
if i_coeff is not None:
return S.ImaginaryUnit * C.sin(i_coeff)
else:
coeff, terms = arg.as_coeff_terms()
if coeff.is_negative:
return -cls(-arg)
if arg.func == asinh:
return arg.args[0]
if arg.func == acosh:
x = arg.args[0]
return sqrt(x - 1) * sqrt(x + 1)
if arg.func == atanh:
x = arg.args[0]
return x / sqrt(1 - x ** 2)示例6: vertices
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def vertices(self):
points = []
c, r, n = self
v = 2*S.Pi/n
for k in xrange(0, n):
points.append( Point(c[0] + r*C.cos(k*v), c[1] + r*C.sin(k*v)) )
return points示例7: _eval_expand_complex
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def _eval_expand_complex(self, deep=True, **hints):
re, im = self.args[0].as_real_imag()
if deep:
re = re.expand(deep, **hints)
im = im.expand(deep, **hints)
cos, sin = C.cos(im), C.sin(im)
return exp(re) * cos + S.ImaginaryUnit * exp(re) * sin示例8: as_real_imag
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def as_real_imag(self, deep=True, **hints):
# TODO: Handle deep and hints
n, m, theta, phi = self.args
re = (sqrt((2*n + 1)/(4*pi) * C.factorial(n - m)/C.factorial(n + m)) *
C.cos(m*phi) * assoc_legendre(n, m, C.cos(theta)))
im = (sqrt((2*n + 1)/(4*pi) * C.factorial(n - m)/C.factorial(n + m)) *
C.sin(m*phi) * assoc_legendre(n, m, C.cos(theta)))
return (re, im)示例9: arbitrary_point
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def arbitrary_point(self, parameter_name='t'):
"""Returns a symbolic point that is on the ellipse."""
t = C.Symbol(parameter_name, real=True)
return Point(
self.center[0] + self.hradius*C.cos(t),
self.center[1] + self.vradius*C.sin(t))示例10: _eval_rewrite_as_sin
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def _eval_rewrite_as_sin(self, arg):
I = S.ImaginaryUnit
return C.sin(I*arg+S.Pi/2) - I*C.sin(I*arg)示例11: _eval_expand_complex
# 需要导入模块: from sympy.core.basic import C [as 别名]
# 或者: from sympy.core.basic.C import sin [as 别名]
def _eval_expand_complex(self, *args):
re, im = self.args[0].as_real_imag()
cos, sin = C.cos(im), C.sin(im)
return exp(re) * cos + S.ImaginaryUnit * exp(re) * sin