def graph_implementation(arg_objs, size, data=None):
"""Reduces the atom to an affine expression and list of constraints.
Parameters
----------
arg_objs : list
LinExpr for each argument.
size : tuple
The size of the resulting expression.
data :
Additional data required by the atom.
Returns
-------
tuple
(LinOp for objective, list of constraints)
"""
x = Elementwise._promote(arg_objs[0], size)
y = Elementwise._promote(arg_objs[1], size)
t = lu.create_var(size)
constraints = [ExpCone(t, x, y),
lu.create_geq(y)] # 0 <= y
# -t - x + y
obj = lu.sub_expr(y, lu.sum_expr([x, t]))
return (obj, constraints)
def graph_implementation(arg_objs, size, data=None):
"""Reduces the atom to an affine expression and list of constraints.
Parameters
----------
arg_objs : list
LinExpr for each argument.
size : tuple
The size of the resulting expression.
data :
Additional data required by the atom.
Returns
-------
tuple
(LinOp for objective, list of constraints)
"""
x = Elementwise._promote(arg_objs[0], size)
y = Elementwise._promote(arg_objs[1], size)
t = lu.create_var(size)
constraints = [ExpCone(t, x, y), lu.create_geq(y)] # 0 <= y
# -t - x + y
obj = lu.sub_expr(y, lu.sum_expr([x, t]))
return (obj, constraints)
def graph_implementation(arg_objs, shape, data=None):
"""Reduces the atom to an affine expression and list of constraints.
Parameters
----------
arg_objs : list
LinExpr for each argument.
shape : tuple
The shape of the resulting expression.
data :
Additional data required by the atom.
Returns
-------
tuple
(LinOp for objective, list of constraints)
"""
t = lu.create_var(shape)
constraints = []
for obj in arg_objs:
obj = Elementwise._promote(obj, shape)
constraints.append(lu.create_leq(obj, t))
return (t, constraints)
def graph_implementation(arg_objs, size, data=None):
"""Reduces the atom to an affine expression and list of constraints.
Parameters
----------
arg_objs : list
LinExpr for each argument.
size : tuple
The size of the resulting expression.
data :
Additional data required by the atom.
Returns
-------
tuple
(LinOp for objective, list of constraints)
"""
t = lu.create_var(size)
constraints = []
for obj in arg_objs:
obj = Elementwise._promote(obj, size)
constraints.append(lu.create_leq(obj, t))
return (t, constraints)
