本文整理汇总了Python中sage.symbolic.ring.SR._fricas_方法的典型用法代码示例。如果您正苦于以下问题：Python SR._fricas_方法的具体用法？Python SR._fricas_怎么用？Python SR._fricas_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sage.symbolic.ring.SR的用法示例。
在下文中一共展示了SR._fricas_方法的2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: fricas_integrator
# 需要导入模块: from sage.symbolic.ring import SR [as 别名]
# 或者: from sage.symbolic.ring.SR import _fricas_ [as 别名]
def fricas_integrator(expression, v, a=None, b=None):
"""
Integration using FriCAS
EXAMPLES::
sage: from sage.symbolic.integration.external import fricas_integrator # optional - fricas
sage: fricas_integrator(sin(x), x) # optional - fricas
-cos(x)
sage: fricas_integrator(cos(x), x) # optional - fricas
sin(x)
sage: fricas_integrator(1/(x^2-2), x, 0, 1) # optional - fricas
1/4*(log(3*sqrt(2) - 4) - log(sqrt(2)))*sqrt(2)
sage: fricas_integrator(1/(x^2+6), x, -oo, oo) # optional - fricas
1/6*pi*sqrt(6)
"""
if not isinstance(expression, Expression):
expression = SR(expression)
if a is None:
result = expression._fricas_().integrate(v)
else:
import sage.rings.infinity
if a == sage.rings.infinity.PlusInfinity():
a = "%plusInfinity"
elif a == sage.rings.infinity.MinusInfinity():
a = "%minusInfinity"
if b == sage.rings.infinity.PlusInfinity():
b = "%plusInfinity"
elif b == sage.rings.infinity.MinusInfinity():
b = "%minusInfinity"
result = expression._fricas_().integrate("{}={}..{}".format(v, a, b))
locals = {str(v): v for v in expression.variables()}
if str(result) == "potentialPole":
raise ValueError("The integrand has a potential pole"
" in the integration interval")
parsed_result = result.unparsed_input_form()
import sage.misc.sage_eval
try:
return sage.misc.sage_eval.sage_eval(parsed_result, locals=locals)
except:
raise ValueError("Unable to parse: {}".format(parsed_result))示例2: fricas_integrator
# 需要导入模块: from sage.symbolic.ring import SR [as 别名]
# 或者: from sage.symbolic.ring.SR import _fricas_ [as 别名]
def fricas_integrator(expression, v, a=None, b=None, noPole=True):
"""
Integration using FriCAS
EXAMPLES::
sage: from sage.symbolic.integration.external import fricas_integrator # optional - fricas
sage: fricas_integrator(sin(x), x) # optional - fricas
-cos(x)
sage: fricas_integrator(cos(x), x) # optional - fricas
sin(x)
sage: fricas_integrator(1/(x^2-2), x, 0, 1) # optional - fricas
1/4*sqrt(2)*(log(3*sqrt(2) - 4) - log(sqrt(2)))
sage: fricas_integrator(1/(x^2+6), x, -oo, oo) # optional - fricas
1/6*sqrt(6)*pi
"""
if not isinstance(expression, Expression):
expression = SR(expression)
if a is None:
result = expression._fricas_().integrate(v)
else:
import sage.rings.infinity
if a == sage.rings.infinity.PlusInfinity():
a = "%plusInfinity"
elif a == sage.rings.infinity.MinusInfinity():
a = "%minusInfinity"
if b == sage.rings.infinity.PlusInfinity():
b = "%plusInfinity"
elif b == sage.rings.infinity.MinusInfinity():
b = "%minusInfinity"
if noPole:
result = expression._fricas_().integrate("{}={}..{}".format(v, a, b), '"noPole"')
else:
result = expression._fricas_().integrate("{}={}..{}".format(v, a, b))
locals = {str(v): v for v in expression.variables()}
if str(result) == "potentialPole":
raise ValueError("The integrand has a potential pole"
" in the integration interval")
return result.sage()