本文整理汇总了Python中sympy.plotting.intervalmath.interval函数的典型用法代码示例。如果您正苦于以下问题：Python interval函数的具体用法？Python interval怎么用？Python interval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interval函数的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: cos
def cos(x):
"""Evaluates the cos of an interval"""
if isinstance(x, (int, float)):
return interval(np.sin(x))
elif isinstance(x, interval):
if not (np.isfinite(x.start) and np.isfinite(x.end)):
return interval(-1, 1, is_valid=x.is_valid)
na, __ = divmod(x.start, np.pi / 2.0)
nb, __ = divmod(x.end, np.pi / 2.0)
start = min(np.cos(x.start), np.cos(x.end))
end = max(np.cos(x.start), np.cos(x.end))
if nb - na > 4:
#differ more than 2*pi
return interval(-1, 1, is_valid=x.is_valid)
elif na == nb:
#in the same quadarant
return interval(start, end, is_valid=x.is_valid)
else:
if (na) // 4 != (nb) // 4:
#cos has max
end = 1
if (na - 2) // 4 != (nb - 2) // 4:
#cos has min
start = -1
return interval(start, end, is_valid=x.is_valid)
else:
raise NotImplementedError示例2: sin
def sin(x):
"""evaluates the sine of an interval"""
if isinstance(x, (int, float)):
return interval(np.sin(x))
elif isinstance(x, interval):
if not x.is_valid:
return interval(-1, 1, is_valid=x.is_valid)
na, __ = divmod(x.start, np.pi / 2.0)
nb, __ = divmod(x.end, np.pi / 2.0)
start = min(np.sin(x.start), np.sin(x.end))
end = max(np.sin(x.start), np.sin(x.end))
if nb - na > 4:
return interval(-1, 1, is_valid=x.is_valid)
elif na == nb:
return interval(start, end, is_valid=x.is_valid)
else:
if (na - 1) // 4 != (nb - 1) // 4:
#sin has max
end = 1
if (na - 3) // 4 != (nb - 3) // 4:
#sin has min
start = -1
return interval(start, end)
else:
raise NotImplementedError示例3: test_tan
def test_tan():
a = tan(interval(0, np.pi / 4))
assert a.start == 0
assert a.end == np.tan(np.pi / 4)
a = tan(interval(np.pi / 4, 3 * np.pi / 4))
#discontinuity
assert a.is_valid is None示例4: exp
def exp(x):
"""evaluates the exponential of an interval"""
if isinstance(x, (int, float)):
return interval(np.exp(x), np.exp(x))
elif isinstance(x, interval):
return interval(np.exp(x.start), np.exp(x.end), is_valid=x.is_valid)
else:
raise NotImplementedError示例5: tanh
def tanh(x):
"""Evaluates the hyperbolic tan of an interval"""
if isinstance(x, (int, float)):
return interval(np.tanh(x), np.tanh(x))
elif isinstance(x, interval):
return interval(np.tanh(x.start), np.tanh(x.end), is_valid=x.is_valid)
else:
raise NotImplementedError示例6: test_tan
def test_tan():
a = tan(interval(0, np.pi / 4))
assert a.start == 0
# must match lib_interval definition of tan:
assert a.end == np.sin(np.pi / 4)/np.cos(np.pi / 4)
a = tan(interval(np.pi / 4, 3 * np.pi / 4))
#discontinuity
assert a.is_valid is None示例7: sinh
def sinh(x):
"""Evaluates the hyperbolic sine of an interval"""
np = import_module('numpy')
if isinstance(x, (int, float)):
return interval(np.sinh(x), np.sinh(x))
elif isinstance(x, interval):
return interval(np.sinh(x.start), np.sinh(x.end), is_valid=x.is_valid)
else:
raise NotImplementedError示例8: atan
def atan(x):
"""evaluates the tan inverse of an interval"""
if isinstance(x, (int, float)):
return interval(np.arctan(x))
elif isinstance(x, interval):
start = np.arctan(x.start)
end = np.arctan(x.end)
return interval(start, end, is_valid=x.is_valid)
else:
raise NotImplementedError示例9: asinh
def asinh(x):
"""Evaluates the inverse hyperbolic sine of an interval"""
if isinstance(x, (int, float)):
return interval(np.arcsinh(x))
elif isinstance(x, interval):
start = np.arcsinh(x.start)
end = np.arcsinh(x.end)
return interval(start, end, is_valid=x.is_valid)
else:
return NotImplementedError示例10: test_exp
def test_exp():
a = exp(interval(-np.inf, 0))
assert a.start == np.exp(-np.inf)
assert a.end == np.exp(0)
a = exp(interval(1, 2))
assert a.start == np.exp(1)
assert a.end == np.exp(2)
a = exp(1)
assert a.start == np.exp(1)
assert a.end == np.exp(1)示例11: Abs
def Abs(x):
if isinstance(x, (int, float)):
return interval(abs(x))
elif isinstance(x, interval):
if x.start < 0 and x.end > 0:
return interval(0, max(abs(x.start), abs(x.end)), is_valid=x.is_valid)
else:
return interval(abs(x.start), abs(x.end))
else:
raise NotImplementedError示例12: test_log10
def test_log10():
a = log10(interval(1, 2))
assert a.start == 0
assert a.end == np.log10(2)
a = log10(interval(-1, 1))
assert a.is_valid is None
a = log10(interval(-3, -1))
assert a.is_valid is False
a = log10(-3)
assert a.is_valid is False
a = log10(2)
assert a.start == np.log10(2)
assert a.end == np.log10(2)示例13: test_hashable
def test_hashable():
'''
test that interval objects are hashable.
this is required in order to be able to put them into the cache, which
appears to be necessary for plotting in py3k. For details, see:
https://github.com/sympy/sympy/pull/2101
https://github.com/sympy/sympy/issues/6533
'''
hash(interval(1, 1))
hash(interval(1, 1, is_valid=True))
hash(interval(-4, -0.5))
hash(interval(-2, -0.5))
hash(interval(0.25, 8.0))示例14: test_cosh
def test_cosh():
a = cosh(interval(1, 2))
assert a.start == np.cosh(1)
assert a.end == np.cosh(2)
a = cosh(interval(-2, -1))
assert a.start == np.cosh(-1)
assert a.end == np.cosh(-2)
a = cosh(interval(-2, 1))
assert a.start == 1
assert a.end == np.cosh(-2)
a = cosh(1)
assert a.start == np.cosh(1)
assert a.end == np.cosh(1)示例15: test_acosh
def test_acosh():
a = acosh(interval(3, 5))
assert a.start == np.arccosh(3)
assert a.end == np.arccosh(5)
a = acosh(interval(0, 3))
assert a.is_valid is None
a = acosh(interval(-3, 0.5))
assert a.is_valid is False
a = acosh(0.5)
assert a.is_valid is False
a = acosh(2)
assert a.start == np.arccosh(2)
assert a.end == np.arccosh(2)