# Path: sdopt/nodes/attributes.py
# class NodeAttr:
#     bounds    =  1
#     con_num   =  2
#     d_term    =  3
#     display   =  4
#     input_ord =  5
#     n_term    =  6
#     name      =  7
#     node_id   =  8
#     number    =  9
#     operation = 10
#     type      = 11
#     var_num   = 12
# 
# Path: sdopt/representation/dag_util.py
# def get_pretty_type_str(dag, n):
#     return dag.node[n][NodeAttr.type] + '_node'
# 
# Path: sdopt/util/stringIO.py

# 
# Path: sdopt/util/redirect_stdout.py
# @contextmanager
# def redirect_stdout(ostream):
#     oldstdout = sys.stdout
#     sys.stdout = ostream
#     try:
#         yield ostream
#     finally:
#         sys.stdout = oldstdout


import math
from operator import itemgetter
from string import Template
from contextlib import closing
from six.moves import zip as izip
from ..nodes.attributes import NodeAttr
from ..representation.dag_util import get_pretty_type_str
from ..util.stringIO import stringIO
from ..util.redirect_stdout import redirect_stdout
    if NodeAttr.number in d:
        number = d[NodeAttr.number]
        return str(number) if number >= 0 else '({})'.format(number)
    # some intermediate node
    return 't%d' % i

def lin_comb_str(n, d, con_dag, base_vars, op='+'):
    # for 1..n: lambda_1*predec_1 op lambda_2*predec_2 ... op lambda_n*predec_n
    #   where op is + or *
    s = []
    for lam, predec in gen_inedge_mult(n, d, con_dag):
        s.append('%s%s' % (lambda_to_str(lam), idx_str(predec, base_vars, con_dag)))
    return (' %s ' % op).join(s)

def sum_node_str(n, d, con_dag, base_vars):
    d_term = d.get(NodeAttr.d_term, 0.0)
    return lin_comb_str(n, d, con_dag, base_vars) + add_d_term_str(d_term)

def mul_node_str(n, d, con_dag, base_vars):
    d_term = d.get(NodeAttr.d_term, 1.0)
    return  lmul_d_term_str(d_term) + lin_comb_str(n, d, con_dag, base_vars, '*')

def div_node_str(n, d, con_dag, base_vars):
    mult, pred = binary_node_inedge_mult(n, d, con_dag)
    nomin  = lambda_to_str(mult[0]) + idx_str(pred[0], base_vars, con_dag)
    denom  = lambda_to_str(mult[1]) + idx_str(pred[1], base_vars, con_dag)
    d_term = d.get(NodeAttr.d_term, 1.0)
    return lmul_d_term_str(d_term) + '(' + nomin + ')/(' + denom + ')'

def pow_node_str(n, d, con_dag, base_vars):

# Path: sdopt/nodes/attributes.py
# class NodeAttr:
#     bounds    =  1
#     con_num   =  2
#     d_term    =  3
#     display   =  4
#     input_ord =  5
#     n_term    =  6
#     name      =  7
#     node_id   =  8
#     number    =  9
#     operation = 10
#     type      = 11
#     var_num   = 12
# 
# Path: sdopt/representation/dag_util.py
# def get_pretty_type_str(dag, n):
#     return dag.node[n][NodeAttr.type] + '_node'
# 
# Path: sdopt/util/stringIO.py

# 
# Path: sdopt/util/redirect_stdout.py
# @contextmanager
# def redirect_stdout(ostream):
#     oldstdout = sys.stdout
#     sys.stdout = ostream
#     try:
#         yield ostream
#     finally:
#         sys.stdout = oldstdout


# Path: sdopt/nodes/reverse_ad.py
import math
from operator import itemgetter
from string import Template
from contextlib import closing
from six.moves import zip as izip
from ..nodes.attributes import NodeAttr
from ..representation.dag_util import get_pretty_type_str
from ..util.stringIO import stringIO
from ..util.redirect_stdout import redirect_stdout

    if NodeAttr.number in d:
        number = d[NodeAttr.number]
        return str(number) if number >= 0 else '({})'.format(number)
    # some intermediate node
    return 't%d' % i

def lin_comb_str(n, d, con_dag, base_vars, op='+'):
    # for 1..n: lambda_1*predec_1 op lambda_2*predec_2 ... op lambda_n*predec_n
    #   where op is + or *
    s = []
    for lam, predec in gen_inedge_mult(n, d, con_dag):
        s.append('%s%s' % (lambda_to_str(lam), idx_str(predec, base_vars, con_dag)))
    return (' %s ' % op).join(s)

def sum_node_str(n, d, con_dag, base_vars):
    d_term = d.get(NodeAttr.d_term, 0.0)
    return lin_comb_str(n, d, con_dag, base_vars) + add_d_term_str(d_term)

def mul_node_str(n, d, con_dag, base_vars):
    d_term = d.get(NodeAttr.d_term, 1.0)
    return  lmul_d_term_str(d_term) + lin_comb_str(n, d, con_dag, base_vars, '*')

def div_node_str(n, d, con_dag, base_vars):
    mult, pred = binary_node_inedge_mult(n, d, con_dag)
    nomin  = lambda_to_str(mult[0]) + idx_str(pred[0], base_vars, con_dag)
    denom  = lambda_to_str(mult[1]) + idx_str(pred[1], base_vars, con_dag)
    d_term = d.get(NodeAttr.d_term, 1.0)
    return lmul_d_term_str(d_term) + '(' + nomin + ')/(' + denom + ')'

def pow_node_str(n, d, con_dag, base_vars):

    mult, pred = binary_node_inedge_mult(n, d, con_dag)