本文整理汇总了Python中sympy.core.Add.has方法的典型用法代码示例。如果您正苦于以下问题：Python Add.has方法的具体用法？Python Add.has怎么用？Python Add.has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.Add的用法示例。
在下文中一共展示了Add.has方法的6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: __new__
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __new__(cls, expr, *symbols, **assumptions):
expr = sympify(expr).expand()
if expr is S.NaN:
return S.NaN
if symbols:
symbols = map(sympify, symbols)
if not all(isinstance(s, Symbol) for s in symbols):
raise NotImplementedError(
'Order at points other than 0 not supported.')
else:
symbols = list(expr.free_symbols)
if expr.is_Order:
new_symbols = list(expr.variables)
for s in symbols:
if s not in new_symbols:
new_symbols.append(s)
if len(new_symbols) == len(expr.variables):
return expr
symbols = new_symbols
elif symbols:
if expr.is_Add:
lst = expr.extract_leading_order(*symbols)
expr = Add(*[f.expr for (e, f) in lst])
elif expr:
if len(symbols) > 1 or expr.is_commutative is False:
# TODO
# We cannot use compute_leading_term because that only
# works in one symbol.
expr = expr.as_leading_term(*symbols)
else:
expr = expr.compute_leading_term(symbols[0])
terms = expr.as_coeff_mul(*symbols)[1]
s = set(symbols)
expr = Mul(*[t for t in terms if s & t.free_symbols])
if expr is S.Zero:
return expr
elif not expr.has(*symbols):
expr = S.One
# create Order instance:
symbols.sort(key=cmp_to_key(Basic.compare))
obj = Expr.__new__(cls, expr, *symbols, **assumptions)
return obj示例2: __new__
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __new__(cls, expr, *symbols, **assumptions):
expr = sympify(expr).expand()
if expr is S.NaN:
return S.NaN
if symbols:
symbols = map(sympify, symbols)
if not all(isinstance(s, Symbol) for s in symbols):
raise NotImplementedError('Order at points other than 0 not supported.')
else:
symbols = list(expr.free_symbols)
if expr.is_Order:
new_symbols = list(expr.variables)
for s in symbols:
if s not in new_symbols:
new_symbols.append(s)
if len(new_symbols) == len(expr.variables):
return expr
symbols = new_symbols
elif symbols:
if expr.is_Add:
lst = expr.extract_leading_order(*symbols)
expr = Add(*[f.expr for (e,f) in lst])
elif expr:
expr = expr.as_leading_term(*symbols)
coeff, terms = expr.as_coeff_mul()
expr = Mul(*[t for t in terms if t.has(*symbols)])
if expr is S.Zero:
return expr
elif not expr.has(*symbols):
expr = S.One
# create Order instance:
symbols.sort(Basic.compare)
obj = Expr.__new__(cls, expr, *symbols, **assumptions)
return obj示例3: __trigsimp
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __trigsimp(expr, deep=False):
"""recursive helper for trigsimp"""
from sympy.simplify.fu import TR10i
if _trigpat is None:
_trigpats()
a, b, c, d, matchers_division, matchers_add, \
matchers_identity, artifacts = _trigpat
if expr.is_Mul:
# do some simplifications like sin/cos -> tan:
if not expr.is_commutative:
com, nc = expr.args_cnc()
expr = _trigsimp(Mul._from_args(com), deep)*Mul._from_args(nc)
else:
for i, (pattern, simp, ok1, ok2) in enumerate(matchers_division):
if not _dotrig(expr, pattern):
continue
newexpr = _match_div_rewrite(expr, i)
if newexpr is not None:
if newexpr != expr:
expr = newexpr
break
else:
continue
# use SymPy matching instead
res = expr.match(pattern)
if res and res.get(c, 0):
if not res[c].is_integer:
ok = ok1.subs(res)
if not ok.is_positive:
continue
ok = ok2.subs(res)
if not ok.is_positive:
continue
# if "a" contains any of trig or hyperbolic funcs with
# argument "b" then skip the simplification
if any(w.args[0] == res[b] for w in res[a].atoms(
TrigonometricFunction, HyperbolicFunction)):
continue
# simplify and finish:
expr = simp.subs(res)
break # process below
if expr.is_Add:
args = []
for term in expr.args:
if not term.is_commutative:
com, nc = term.args_cnc()
nc = Mul._from_args(nc)
term = Mul._from_args(com)
else:
nc = S.One
term = _trigsimp(term, deep)
for pattern, result in matchers_identity:
res = term.match(pattern)
if res is not None:
term = result.subs(res)
break
args.append(term*nc)
if args != expr.args:
expr = Add(*args)
expr = min(expr, expand(expr), key=count_ops)
if expr.is_Add:
for pattern, result in matchers_add:
if not _dotrig(expr, pattern):
continue
expr = TR10i(expr)
if expr.has(HyperbolicFunction):
res = expr.match(pattern)
# if "d" contains any trig or hyperbolic funcs with
# argument "a" or "b" then skip the simplification;
# this isn't perfect -- see tests
if res is None or not (a in res and b in res) or any(
w.args[0] in (res[a], res[b]) for w in res[d].atoms(
TrigonometricFunction, HyperbolicFunction)):
continue
expr = result.subs(res)
break
# Reduce any lingering artifacts, such as sin(x)**2 changing
# to 1 - cos(x)**2 when sin(x)**2 was "simpler"
for pattern, result, ex in artifacts:
if not _dotrig(expr, pattern):
continue
# Substitute a new wild that excludes some function(s)
# to help influence a better match. This is because
# sometimes, for example, 'a' would match sec(x)**2
a_t = Wild('a', exclude=[ex])
pattern = pattern.subs(a, a_t)
result = result.subs(a, a_t)
m = expr.match(pattern)
was = None
while m and was != expr:
was = expr
if m[a_t] == 0 or \
-m[a_t] in m[c].args or m[a_t] + m[c] == 0:
#.........这里部分代码省略.........
示例4: __new__
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __new__(cls, expr, *args, **kwargs):
expr = sympify(expr)
if not args:
if expr.is_Order:
variables = expr.variables
point = expr.point
else:
variables = list(expr.free_symbols)
point = [S.Zero]*len(variables)
else:
args = list(args if is_sequence(args) else [args])
variables, point = [], []
if is_sequence(args[0]):
for a in args:
v, p = list(map(sympify, a))
variables.append(v)
point.append(p)
else:
variables = list(map(sympify, args))
point = [S.Zero]*len(variables)
if not all(isinstance(v, Symbol) for v in variables):
raise TypeError('Variables are not symbols, got %s' % variables)
if len(list(uniq(variables))) != len(variables):
raise ValueError('Variables are supposed to be unique symbols, got %s' % variables)
if expr.is_Order:
expr_vp = dict(expr.args[1:])
new_vp = dict(expr_vp)
vp = dict(zip(variables, point))
for v, p in vp.items():
if v in new_vp.keys():
if p != new_vp[v]:
raise NotImplementedError(
"Mixing Order at different points is not supported.")
else:
new_vp[v] = p
if set(expr_vp.keys()) == set(new_vp.keys()):
return expr
else:
variables = list(new_vp.keys())
point = [new_vp[v] for v in variables]
if expr is S.NaN:
return S.NaN
if not all(p is S.Zero for p in point) and \
not all(p is S.Infinity for p in point):
raise NotImplementedError('Order at points other than 0 '
'or oo not supported, got %s as a point.' % point)
if variables:
if len(variables) > 1:
# XXX: better way? We need this expand() to
# workaround e.g: expr = x*(x + y).
# (x*(x + y)).as_leading_term(x, y) currently returns
# x*y (wrong order term!). That's why we want to deal with
# expand()'ed expr (handled in "if expr.is_Add" branch below).
expr = expr.expand()
if expr.is_Add:
lst = expr.extract_leading_order(variables, point)
expr = Add(*[f.expr for (e, f) in lst])
elif expr:
if point[0] == S.Zero:
expr = expr.as_leading_term(*variables)
expr = expr.as_independent(*variables, as_Add=False)[1]
expr = expand_power_base(expr)
expr = expand_log(expr)
if len(variables) == 1:
# The definition of O(f(x)) symbol explicitly stated that
# the argument of f(x) is irrelevant. That's why we can
# combine some power exponents (only "on top" of the
# expression tree for f(x)), e.g.:
# x**p * (-x)**q -> x**(p+q) for real p, q.
x = variables[0]
margs = list(Mul.make_args(
expr.as_independent(x, as_Add=False)[1]))
for i, t in enumerate(margs):
if t.is_Pow:
b, q = t.args
if b in (x, -x) and q.is_real and not q.has(x):
margs[i] = x**q
elif b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
elif b.is_Mul and b.args[0] is S.NegativeOne:
b = -b
if b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
#.........这里部分代码省略.........
示例5: __new__
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __new__(cls, expr, *symbols):
expr = sympify(expr)
if expr is S.NaN:
return S.NaN
point = S.Zero
if symbols:
symbols = list(map(sympify, symbols))
if symbols[-1] in (S.Infinity, S.Zero):
point = symbols[-1]
symbols = symbols[:-1]
if not all(isinstance(s, Symbol) for s in symbols):
raise NotImplementedError(
'Order at points other than 0 or oo not supported.')
if not symbols:
symbols = list(expr.free_symbols)
if expr.is_Order:
v = set(expr.variables)
symbols = v | set(symbols)
if symbols == v:
return expr
symbols = list(symbols)
elif symbols:
symbols = list(set(symbols))
args = tuple(symbols) + (point,)
if len(symbols) > 1:
# XXX: better way? We need this expand() to
# workaround e.g: expr = x*(x + y).
# (x*(x + y)).as_leading_term(x, y) currently returns
# x*y (wrong order term!). That's why we want to deal with
# expand()'ed expr (handled in "if expr.is_Add" branch below).
expr = expr.expand()
if expr.is_Add:
lst = expr.extract_leading_order(*args)
expr = Add(*[f.expr for (e, f) in lst])
elif expr:
expr = expr.as_leading_term(*symbols)
expr = expr.as_independent(*symbols, as_Add=False)[1]
expr = expand_power_base(expr)
expr = expand_log(expr)
if len(symbols) == 1:
# The definition of O(f(x)) symbol explicitly stated that
# the argument of f(x) is irrelevant. That's why we can
# combine some power exponents (only "on top" of the
# expression tree for f(x)), e.g.:
# x**p * (-x)**q -> x**(p+q) for real p, q.
x = symbols[0]
margs = list(Mul.make_args(
expr.as_independent(x, as_Add=False)[1]))
for i, t in enumerate(margs):
if t.is_Pow:
b, q = t.args
if b in (x, -x) and q.is_real and not q.has(x):
margs[i] = x**q
elif b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
elif b.is_Mul and b.args[0] is S.NegativeOne:
b = -b
if b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
expr = Mul(*margs)
if expr is S.Zero:
return expr
if not expr.has(*symbols):
expr = S.One
# create Order instance:
symbols.sort(key=default_sort_key)
args = (expr,) + tuple(symbols) + (point,)
obj = Expr.__new__(cls, *args)
return obj示例6: __new__
# 需要导入模块: from sympy.core import Add [as 别名]
# 或者: from sympy.core.Add import has [as 别名]
def __new__(cls, expr, *symbols, **assumptions):
expr = sympify(expr).expand()
if expr is S.NaN:
return S.NaN
if symbols:
symbols = map(sympify, symbols)
if not all(isinstance(s, Symbol) for s in symbols):
raise NotImplementedError(
'Order at points other than 0 not supported.')
else:
symbols = list(expr.free_symbols)
if expr.is_Order:
v = set(expr.variables)
symbols = v | set(symbols)
if symbols == v:
return expr
symbols = list(symbols)
elif symbols:
symbols = list(set(symbols))
if expr.is_Add:
lst = expr.extract_leading_order(*symbols)
expr = Add(*[f.expr for (e, f) in lst])
elif expr:
if len(symbols) > 1 or expr.is_commutative is False:
# TODO
# We cannot use compute_leading_term because that only
# works in one symbol.
expr = expr.as_leading_term(*symbols)
else:
expr = expr.compute_leading_term(symbols[0])
margs = list(Mul.make_args(expr.as_independent(*symbols)[1]))
if len(symbols) == 1:
# The definition of O(f(x)) symbol explicitly stated that
# the argument of f(x) is irrelevant. That's why we can
# combine some power exponents (only "on top" of the
# expression tree for f(x)), e.g.:
# x**p * (-x)**q -> x**(p+q) for real p, q.
x = symbols[0]
for i, t in enumerate(margs):
if t.is_Pow:
b, q = t.args
if b in (x, -x) and q.is_real and not q.has(x):
margs[i] = x**q
elif b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
elif b.is_Mul and b.args[0] is S.NegativeOne:
b = -b
if b.is_Pow and not b.exp.has(x):
b, r = b.args
if b in (x, -x) and r.is_real:
margs[i] = x**(r*q)
expr = Mul(*margs)
if expr is S.Zero:
return expr
if not expr.has(*symbols):
expr = S.One
# create Order instance:
symbols.sort(key=cmp_to_key(Basic.compare))
obj = Expr.__new__(cls, expr, *symbols, **assumptions)
return obj