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Create redundant_facet_removal_backup.py (#81)
* Create redundant_facet_removal_backup.py * Update redundant_facet_removal_backup.py * Create update_gurobi_model_backup.py * Update redundant_facet_removal_backup.py * Update redundant_facet_removal_backup.py * Update redundant_facet_removal_backup.py * Rename redundant_facet_removal_backup.py to redundant_facet_removal_experimental.py * Rename update_gurobi_model_backup.py to update_gurobi_model_experiment.py * Create redundant_facet_removal_experiment.py * Delete dingo/backup directory * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Delete dingo/experimental_gurobi_functions/update_gurobi_model_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py * Update redundant_facet_removal_experiment.py
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dingo/experimental_gurobi_functions/redundant_facet_removal_experiment.py
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# dingo : a python library for metabolic networks sampling and analysis | ||
# dingo is part of GeomScale project | ||
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# Copyright (c) 2021 Apostolos Chalkis | ||
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# Licensed under GNU LGPL.3, see LICENCE file | ||
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import sys | ||
import numpy as np | ||
import scipy.sparse as sp | ||
import gurobipy as gp | ||
from gurobipy import GRB | ||
import math | ||
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def update_model_constraints_and_bounds(model, Aeq_sparse=None, beq=None, A_sparse=None, b=None, | ||
new_lower_bounds=None, new_upper_bounds=None): | ||
if Aeq_sparse is not None and beq is not None: | ||
# Remove the old equality constraints | ||
model.remove("c") | ||
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# Add new equality constraints | ||
model.addMConstr(sp.csr_matrix(Aeq_sparse), model.getVars(), "=", np.array(beq), name="c") | ||
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if A_sparse is not None and b is not None: | ||
# Remove the old inequality constraints | ||
model.remove("d") | ||
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# Add new inequality constraints | ||
model.addMConstr(sp.csr_matrix(A_sparse), model.getVars(), "<", np.array(b), name="d") | ||
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if new_lower_bounds is not None or new_upper_bounds is not None: | ||
# Retrieve the variable objects | ||
x_vars = model.getVars() | ||
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# Update variable bounds if specified | ||
if new_lower_bounds is not None: | ||
for i, x_var in enumerate(x_vars): | ||
x_var.lb = new_lower_bounds[i] | ||
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if new_upper_bounds is not None: | ||
for i, x_var in enumerate(x_vars): | ||
x_var.ub = new_upper_bounds[i] | ||
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# Update the model to apply the changes | ||
model.update() | ||
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# Usage example: | ||
# Assuming you have a Gurobi model 'model' and new constraint matrices/vectors and bounds | ||
# Call the function to update the model | ||
# update_model_constraints_and_bounds(model, Aeq_sparse_new, beq_new, A_sparse_new, b_new, new_lower_bounds, new_upper_bounds) | ||
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def solve_lp_with_different_objectives(model, new_objective_coeffs): | ||
""" | ||
Solve a linear program with a different objective function. | ||
Parameters: | ||
model (gurobipy.Model): The Gurobi model with the original constraints. | ||
new_objective_coeffs (list or numpy.ndarray): List or array of new objective coefficients for the variables. | ||
Returns: | ||
gurobipy.Model: The updated Gurobi model with the new objective function. | ||
""" | ||
# Clear the existing objective function | ||
model.setObjective(0, clear=True) | ||
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# TODO: Optimization opportunity - You could pass a numpy array here (instead of a list of coefficients) | ||
# and update the objective in one call without a for loop. | ||
# For example, you can use: | ||
# model.setObjective(new_objective_coeffs, GRB.MINIMIZE) | ||
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# Update the objective function with the new coefficients | ||
for i, var in enumerate(model.getVars()): | ||
var.setAttr(GRB.Attr.Obj, new_objective_coeffs[i]) | ||
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# Optimize the updated model | ||
model.optimize() | ||
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return model | ||
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def fast_remove_redundant_facets(lb, ub, S, c, opt_percentage=100): | ||
if lb.size != S.shape[1] or ub.size != S.shape[1]: | ||
raise Exception( | ||
"The number of reactions must be equal to the number of given flux bounds." | ||
) | ||
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redundant_facet_tol = 1e-07 | ||
tol = 1e-06 | ||
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m = S.shape[0] | ||
n = S.shape[1] | ||
beq = np.zeros(m) | ||
Aeq_res = S | ||
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A = np.zeros((2 * n, n), dtype="float") | ||
A[0:n] = np.eye(n) | ||
A[n:] -= np.eye(n, n, dtype="float") | ||
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b = np.concatenate((ub, -lb), axis=0) | ||
b = np.asarray(b, dtype="float") | ||
b = np.ascontiguousarray(b, dtype="float") | ||
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max_biomass_flux_vector, max_biomass_objective = fast_fba(lb, ub, S, c) | ||
val = -np.floor(max_biomass_objective / tol) * tol * opt_percentage / 100 | ||
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b_res = [] | ||
A_res = np.empty((0, n), float) | ||
beq_res = np.array(beq) | ||
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try: | ||
with gp.Env(empty=True) as env: | ||
env.setParam("OutputFlag", 0) | ||
env.start() | ||
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with gp.Model(env=env) as model: | ||
x = model.addMVar( | ||
shape=n, | ||
vtype=GRB.CONTINUOUS, | ||
name="x", | ||
lb=lb, | ||
ub=ub, | ||
) | ||
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Aeq_sparse = sp.csr_matrix(S) | ||
A_sparse = sp.csr_matrix(np.array(-c)) | ||
b_sparse = np.array(val) | ||
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b = np.array(b) | ||
beq = np.array(beq) | ||
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model.addMConstr(Aeq_sparse, x, "=", beq, name="c") | ||
model.update() | ||
model.addMConstr(A_sparse, x, "<", [val], name="d") | ||
model.update() | ||
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model_iter = model.copy() | ||
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indices_iter = range(n) | ||
removed = 1 | ||
offset = 1 | ||
facet_left_removed = np.zeros((1, n), dtype=bool) | ||
facet_right_removed = np.zeros((1, n), dtype=bool) | ||
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while removed > 0 or offset > 0: | ||
removed = 0 | ||
offset = 0 | ||
indices = indices_iter | ||
indices_iter = [] | ||
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Aeq_sparse = sp.csr_matrix(Aeq_res) | ||
beq = np.array(beq_res) | ||
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b_res = [] | ||
A_res = np.empty((0, n), float) | ||
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update_model_constraints_and_bounds(model_iter, Aeq_sparse, beq, A_sparse, [val], lb, ub) | ||
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for i in indices: | ||
objective_function = A[i] | ||
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redundant_facet_right = True | ||
redundant_facet_left = True | ||
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objective_function_max = np.asarray( | ||
[-x for x in objective_function] | ||
) | ||
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model_iter = solve_lp_with_different_objectives( | ||
model_iter.copy(), objective_function_max | ||
) | ||
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status = model_iter.status | ||
if status == GRB.OPTIMAL: | ||
max_objective = -model_iter.objVal | ||
else: | ||
max_objective = ub[i] | ||
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if not facet_right_removed[0, i]: | ||
ub_iter = ub.copy() | ||
ub_iter[i] = ub_iter[i] + 1 | ||
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# Call solve_lp_with_different_objectives to solve LP | ||
model_iter = solve_lp_with_different_objectives( | ||
model_iter.copy(), objective_function | ||
) | ||
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status = model_iter.status | ||
if status == GRB.OPTIMAL: | ||
max_objective2 = -model_iter.objVal | ||
if ( | ||
np.abs(max_objective2 - max_objective) | ||
> redundant_facet_tol | ||
): | ||
redundant_facet_right = False | ||
else: | ||
removed += 1 | ||
facet_right_removed[0, i] = True | ||
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model_iter.reset() | ||
x = model_iter.getVars() | ||
for j in range(n): | ||
x[j].LB = lb[j] | ||
x[j].UB = ub[j] | ||
x[j].obj = objective_function[j] | ||
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model_iter.optimize() | ||
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status = model_iter.status | ||
if status == GRB.OPTIMAL: | ||
min_objective = model_iter.objVal | ||
else: | ||
min_objective = lb[i] | ||
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if not facet_left_removed[0, i]: | ||
lb_iter = lb.copy() | ||
lb_iter[i] = lb_iter[i] - 1 | ||
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# Call solve_lp_with_different_objectives to solve LP | ||
model_iter = solve_lp_with_different_objectives( | ||
model_iter.copy(), objective_function | ||
) | ||
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status = model_iter.status | ||
if status == GRB.OPTIMAL: | ||
min_objective2 = model_iter.objVal | ||
if ( | ||
np.abs(min_objective2 - min_objective) | ||
> redundant_facet_tol | ||
): | ||
redundant_facet_left = False | ||
else: | ||
removed += 1 | ||
facet_left_removed[0, i] = True | ||
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if (not redundant_facet_left) or (not redundant_facet_right): | ||
width = abs(max_objective - min_objective) | ||
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if width < redundant_facet_tol: | ||
offset += 1 | ||
Aeq_res = np.vstack( | ||
( | ||
Aeq_res, | ||
A[ | ||
i, | ||
], | ||
) | ||
) | ||
beq_res = np.append( | ||
beq_res, min(max_objective, min_objective) | ||
) | ||
ub[i] = sys.float_info.max | ||
lb[i] = -sys.float_info.max | ||
else: | ||
indices_iter.append(i) | ||
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if not redundant_facet_left: | ||
A_res = np.append( | ||
A_res, | ||
np.array( | ||
[ | ||
A[ | ||
n + i, | ||
] | ||
] | ||
), | ||
axis=0, | ||
) | ||
b_res.append(b[n + i]) | ||
else: | ||
lb[i] = -sys.float_info.max | ||
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if not redundant_facet_right: | ||
A_res = np.append( | ||
A_res, | ||
np.array( | ||
[ | ||
A[ | ||
i, | ||
] | ||
] | ||
), | ||
axis=0, | ||
) | ||
b_res.append(b[i]) | ||
else: | ||
ub[i] = sys.float_info.max | ||
else: | ||
ub[i] = sys.float_info.max | ||
lb[i] = -sys.float_info.max | ||
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b_res = np.asarray(b_res) | ||
A_res = np.asarray(A_res, dtype="float") | ||
A_res = np.ascontiguousarray(A_res, dtype="float") | ||
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return A_res, b_res, Aeq_res, beq_res | ||
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except gp.GurobiError as e: | ||
print("Error code " + str(e.errno) + ": " + str(e)) | ||
except AttributeError: | ||
print("Gurobi solver failed.") | ||
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