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* Create redundant_facet_removal_backup.py

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nitishmalang authored Oct 11, 2023
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# dingo : a python library for metabolic networks sampling and analysis
# dingo is part of GeomScale project

# Copyright (c) 2021 Apostolos Chalkis

# Licensed under GNU LGPL.3, see LICENCE file

import sys
import numpy as np
import scipy.sparse as sp
import gurobipy as gp
from gurobipy import GRB
import math

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")

# Add new equality constraints
model.addMConstr(sp.csr_matrix(Aeq_sparse), model.getVars(), "=", np.array(beq), name="c")

if A_sparse is not None and b is not None:
# Remove the old inequality constraints
model.remove("d")

# Add new inequality constraints
model.addMConstr(sp.csr_matrix(A_sparse), model.getVars(), "<", np.array(b), name="d")

if new_lower_bounds is not None or new_upper_bounds is not None:
# Retrieve the variable objects
x_vars = model.getVars()

# 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]

if new_upper_bounds is not None:
for i, x_var in enumerate(x_vars):
x_var.ub = new_upper_bounds[i]

# Update the model to apply the changes
model.update()

# 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)


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)

# 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)

# Update the objective function with the new coefficients
for i, var in enumerate(model.getVars()):
var.setAttr(GRB.Attr.Obj, new_objective_coeffs[i])

# Optimize the updated model
model.optimize()

return model


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."
)

redundant_facet_tol = 1e-07
tol = 1e-06

m = S.shape[0]
n = S.shape[1]
beq = np.zeros(m)
Aeq_res = S

A = np.zeros((2 * n, n), dtype="float")
A[0:n] = np.eye(n)
A[n:] -= np.eye(n, n, dtype="float")

b = np.concatenate((ub, -lb), axis=0)
b = np.asarray(b, dtype="float")
b = np.ascontiguousarray(b, dtype="float")

max_biomass_flux_vector, max_biomass_objective = fast_fba(lb, ub, S, c)
val = -np.floor(max_biomass_objective / tol) * tol * opt_percentage / 100

b_res = []
A_res = np.empty((0, n), float)
beq_res = np.array(beq)

try:
with gp.Env(empty=True) as env:
env.setParam("OutputFlag", 0)
env.start()

with gp.Model(env=env) as model:
x = model.addMVar(
shape=n,
vtype=GRB.CONTINUOUS,
name="x",
lb=lb,
ub=ub,
)

Aeq_sparse = sp.csr_matrix(S)
A_sparse = sp.csr_matrix(np.array(-c))
b_sparse = np.array(val)

b = np.array(b)
beq = np.array(beq)

model.addMConstr(Aeq_sparse, x, "=", beq, name="c")
model.update()
model.addMConstr(A_sparse, x, "<", [val], name="d")
model.update()

model_iter = model.copy()

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)

while removed > 0 or offset > 0:
removed = 0
offset = 0
indices = indices_iter
indices_iter = []

Aeq_sparse = sp.csr_matrix(Aeq_res)
beq = np.array(beq_res)

b_res = []
A_res = np.empty((0, n), float)

update_model_constraints_and_bounds(model_iter, Aeq_sparse, beq, A_sparse, [val], lb, ub)


for i in indices:
objective_function = A[i]

redundant_facet_right = True
redundant_facet_left = True

objective_function_max = np.asarray(
[-x for x in objective_function]
)

model_iter = solve_lp_with_different_objectives(
model_iter.copy(), objective_function_max
)


status = model_iter.status
if status == GRB.OPTIMAL:
max_objective = -model_iter.objVal
else:
max_objective = ub[i]

if not facet_right_removed[0, i]:
ub_iter = ub.copy()
ub_iter[i] = ub_iter[i] + 1

# Call solve_lp_with_different_objectives to solve LP
model_iter = solve_lp_with_different_objectives(
model_iter.copy(), objective_function
)

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

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]

model_iter.optimize()

status = model_iter.status
if status == GRB.OPTIMAL:
min_objective = model_iter.objVal
else:
min_objective = lb[i]

if not facet_left_removed[0, i]:
lb_iter = lb.copy()
lb_iter[i] = lb_iter[i] - 1

# Call solve_lp_with_different_objectives to solve LP
model_iter = solve_lp_with_different_objectives(
model_iter.copy(), objective_function
)


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

if (not redundant_facet_left) or (not redundant_facet_right):
width = abs(max_objective - min_objective)

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)

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

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

b_res = np.asarray(b_res)
A_res = np.asarray(A_res, dtype="float")
A_res = np.ascontiguousarray(A_res, dtype="float")

return A_res, b_res, Aeq_res, beq_res

except gp.GurobiError as e:
print("Error code " + str(e.errno) + ": " + str(e))
except AttributeError:
print("Gurobi solver failed.")


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