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# ___________________________________________________________________________ | ||
# | ||
# Pyomo: Python Optimization Modeling Objects | ||
# Copyright (c) 2008-2022 | ||
# National Technology and Engineering Solutions of Sandia, LLC | ||
# Under the terms of Contract DE-NA0003525 with National Technology and | ||
# Engineering Solutions of Sandia, LLC, the U.S. Government retains certain | ||
# rights in this software. | ||
# This software is distributed under the 3-clause BSD License. | ||
# ___________________________________________________________________________ | ||
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from math import pi | ||
from pyomo.common.collections import ComponentMap | ||
from pyomo.contrib.fbbt.interval import ( | ||
add, | ||
acos, | ||
asin, | ||
atan, | ||
cos, | ||
div, | ||
exp, | ||
interval_abs, | ||
log, | ||
log10, | ||
mul, | ||
power, | ||
sin, | ||
sub, | ||
tan, | ||
) | ||
from pyomo.core.base.expression import Expression | ||
from pyomo.core.expr.numeric_expr import ( | ||
NegationExpression, | ||
ProductExpression, | ||
DivisionExpression, | ||
PowExpression, | ||
AbsExpression, | ||
UnaryFunctionExpression, | ||
MonomialTermExpression, | ||
LinearExpression, | ||
SumExpression, | ||
ExternalFunctionExpression, | ||
) | ||
from pyomo.core.expr.numvalue import native_numeric_types, native_types, value | ||
from pyomo.core.expr.visitor import StreamBasedExpressionVisitor | ||
from pyomo.repn.util import BeforeChildDispatcher, ExitNodeDispatcher | ||
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inf = float('inf') | ||
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class ExpressionBoundsBeforeChildDispatcher(BeforeChildDispatcher): | ||
__slots__ = () | ||
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def __init__(self): | ||
self[ExternalFunctionExpression] = self._before_external_function | ||
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@staticmethod | ||
def _before_external_function(visitor, child): | ||
# [ESJ 10/6/23]: If external functions ever implement callbacks to help with | ||
# this then this should use them | ||
return False, (-inf, inf) | ||
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@staticmethod | ||
def _before_var(visitor, child): | ||
leaf_bounds = visitor.leaf_bounds | ||
if child in leaf_bounds: | ||
pass | ||
elif child.is_fixed() and visitor.use_fixed_var_values_as_bounds: | ||
val = child.value | ||
if val is None: | ||
raise ValueError( | ||
"Var '%s' is fixed to None. This value cannot be used to " | ||
"calculate bounds." % child.name | ||
) | ||
leaf_bounds[child] = (child.value, child.value) | ||
else: | ||
lb = child.lb | ||
ub = child.ub | ||
if lb is None: | ||
lb = -inf | ||
if ub is None: | ||
ub = inf | ||
leaf_bounds[child] = (lb, ub) | ||
return False, leaf_bounds[child] | ||
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@staticmethod | ||
def _before_named_expression(visitor, child): | ||
leaf_bounds = visitor.leaf_bounds | ||
if child in leaf_bounds: | ||
return False, leaf_bounds[child] | ||
else: | ||
return True, None | ||
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@staticmethod | ||
def _before_param(visitor, child): | ||
return False, (child.value, child.value) | ||
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@staticmethod | ||
def _before_native(visitor, child): | ||
return False, (child, child) | ||
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@staticmethod | ||
def _before_string(visitor, child): | ||
raise ValueError( | ||
f"{child!r} ({type(child)}) is not a valid numeric type. " | ||
f"Cannot compute bounds on expression." | ||
) | ||
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@staticmethod | ||
def _before_invalid(visitor, child): | ||
raise ValueError( | ||
f"{child!r} ({type(child)}) is not a valid numeric type. " | ||
f"Cannot compute bounds on expression." | ||
) | ||
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@staticmethod | ||
def _before_complex(visitor, child): | ||
raise ValueError( | ||
f"Cannot compute bounds on expressions containing " | ||
f"complex numbers. Encountered when processing {child}" | ||
) | ||
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@staticmethod | ||
def _before_npv(visitor, child): | ||
val = value(child) | ||
return False, (val, val) | ||
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_before_child_handlers = ExpressionBoundsBeforeChildDispatcher() | ||
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def _handle_ProductExpression(visitor, node, arg1, arg2): | ||
if arg1 is arg2: | ||
return power(*arg1, 2, 2, feasibility_tol=visitor.feasibility_tol) | ||
return mul(*arg1, *arg2) | ||
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def _handle_SumExpression(visitor, node, *args): | ||
bnds = (0, 0) | ||
for arg in args: | ||
bnds = add(*bnds, *arg) | ||
return bnds | ||
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def _handle_DivisionExpression(visitor, node, arg1, arg2): | ||
return div(*arg1, *arg2, feasibility_tol=visitor.feasibility_tol) | ||
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def _handle_PowExpression(visitor, node, arg1, arg2): | ||
return power(*arg1, *arg2, feasibility_tol=visitor.feasibility_tol) | ||
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def _handle_NegationExpression(visitor, node, arg): | ||
return sub(0, 0, *arg) | ||
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def _handle_exp(visitor, node, arg): | ||
return exp(*arg) | ||
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def _handle_log(visitor, node, arg): | ||
return log(*arg) | ||
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def _handle_log10(visitor, node, arg): | ||
return log10(*arg) | ||
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def _handle_sin(visitor, node, arg): | ||
return sin(*arg) | ||
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def _handle_cos(visitor, node, arg): | ||
return cos(*arg) | ||
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def _handle_tan(visitor, node, arg): | ||
return tan(*arg) | ||
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def _handle_asin(visitor, node, arg): | ||
return asin(*arg, -pi / 2, pi / 2, visitor.feasibility_tol) | ||
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def _handle_acos(visitor, node, arg): | ||
return acos(*arg, 0, pi, visitor.feasibility_tol) | ||
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def _handle_atan(visitor, node, arg): | ||
return atan(*arg, -pi / 2, pi / 2) | ||
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def _handle_sqrt(visitor, node, arg): | ||
return power(*arg, 0.5, 0.5, feasibility_tol=visitor.feasibility_tol) | ||
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def _handle_AbsExpression(visitor, node, arg): | ||
return interval_abs(*arg) | ||
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def _handle_UnaryFunctionExpression(visitor, node, arg): | ||
return _unary_function_dispatcher[node.getname()](visitor, node, arg) | ||
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def _handle_named_expression(visitor, node, arg): | ||
visitor.leaf_bounds[node] = arg | ||
return arg | ||
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_unary_function_dispatcher = { | ||
'exp': _handle_exp, | ||
'log': _handle_log, | ||
'log10': _handle_log10, | ||
'sin': _handle_sin, | ||
'cos': _handle_cos, | ||
'tan': _handle_tan, | ||
'asin': _handle_asin, | ||
'acos': _handle_acos, | ||
'atan': _handle_atan, | ||
'sqrt': _handle_sqrt, | ||
} | ||
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_operator_dispatcher = ExitNodeDispatcher( | ||
{ | ||
ProductExpression: _handle_ProductExpression, | ||
DivisionExpression: _handle_DivisionExpression, | ||
PowExpression: _handle_PowExpression, | ||
AbsExpression: _handle_AbsExpression, | ||
SumExpression: _handle_SumExpression, | ||
MonomialTermExpression: _handle_ProductExpression, | ||
NegationExpression: _handle_NegationExpression, | ||
UnaryFunctionExpression: _handle_UnaryFunctionExpression, | ||
LinearExpression: _handle_SumExpression, | ||
Expression: _handle_named_expression, | ||
} | ||
) | ||
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class ExpressionBoundsVisitor(StreamBasedExpressionVisitor): | ||
""" | ||
Walker to calculate bounds on an expression, from leaf to root, with | ||
caching of terminal node bounds (Vars and Expressions) | ||
NOTE: If anything changes on the model (e.g., Var bounds, fixing, mutable | ||
Param values, etc), then you need to either create a new instance of this | ||
walker, or clear self.leaf_bounds! | ||
Parameters | ||
---------- | ||
leaf_bounds: ComponentMap in which to cache bounds at leaves of the expression | ||
tree | ||
feasibility_tol: float, feasibility tolerance for interval arithmetic | ||
calculations | ||
use_fixed_var_values_as_bounds: bool, whether or not to use the values of | ||
fixed Vars as the upper and lower bounds for those Vars or to instead | ||
ignore fixed status and use the bounds. Set to 'True' if you do not | ||
anticipate the fixed status of Variables to change for the duration that | ||
the computed bounds should be valid. | ||
""" | ||
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def __init__( | ||
self, | ||
leaf_bounds=None, | ||
feasibility_tol=1e-8, | ||
use_fixed_var_values_as_bounds=False, | ||
): | ||
super().__init__() | ||
self.leaf_bounds = leaf_bounds if leaf_bounds is not None else ComponentMap() | ||
self.feasibility_tol = feasibility_tol | ||
self.use_fixed_var_values_as_bounds = use_fixed_var_values_as_bounds | ||
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def initializeWalker(self, expr): | ||
walk, result = self.beforeChild(None, expr, 0) | ||
if not walk: | ||
return False, result | ||
return True, expr | ||
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def beforeChild(self, node, child, child_idx): | ||
return _before_child_handlers[child.__class__](self, child) | ||
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def exitNode(self, node, data): | ||
return _operator_dispatcher[node.__class__](self, node, *data) |
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