#!/usr/bin/env python3
# Copyright 2010-2025 Google LLC
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

"""Linear programming examples that show how to use the APIs."""

from ortools.linear_solver import pywraplp


def Announce(solver, api_type):
    print(
        "---- Linear programming example with " + solver + " (" + api_type + ") -----"
    )


def RunLinearExampleNaturalLanguageAPI(optimization_problem_type):
    """Example of simple linear program with natural language API."""
    solver = pywraplp.Solver.CreateSolver(optimization_problem_type)

    if not solver:
        return

    Announce(optimization_problem_type, "natural language API")

    infinity = solver.infinity()
    # x1, x2 and x3 are continuous non-negative variables.
    x1 = solver.NumVar(0.0, infinity, "x1")
    x2 = solver.NumVar(0.0, infinity, "x2")
    x3 = solver.NumVar(0.0, infinity, "x3")

    solver.Maximize(10 * x1 + 6 * x2 + 4 * x3)
    c0 = solver.Add(10 * x1 + 4 * x2 + 5 * x3 <= 600, "ConstraintName0")
    c1 = solver.Add(2 * x1 + 2 * x2 + 6 * x3 <= 300)
    sum_of_vars = sum([x1, x2, x3])
    c2 = solver.Add(sum_of_vars <= 100.0, "OtherConstraintName")

    SolveAndPrint(
        solver, [x1, x2, x3], [c0, c1, c2], optimization_problem_type != "PDLP"
    )
    # Print a linear expression's solution value.
    print("Sum of vars: %s = %s" % (sum_of_vars, sum_of_vars.solution_value()))


def RunLinearExampleCppStyleAPI(optimization_problem_type):
    """Example of simple linear program with the C++ style API."""
    solver = pywraplp.Solver.CreateSolver(optimization_problem_type)
    if not solver:
        return

    Announce(optimization_problem_type, "C++ style API")

    infinity = solver.infinity()
    # x1, x2 and x3 are continuous non-negative variables.
    x1 = solver.NumVar(0.0, infinity, "x1")
    x2 = solver.NumVar(0.0, infinity, "x2")
    x3 = solver.NumVar(0.0, infinity, "x3")

    # Maximize 10 * x1 + 6 * x2 + 4 * x3.
    objective = solver.Objective()
    objective.SetCoefficient(x1, 10)
    objective.SetCoefficient(x2, 6)
    objective.SetCoefficient(x3, 4)
    objective.SetMaximization()

    # x1 + x2 + x3 <= 100.
    c0 = solver.Constraint(-infinity, 100.0, "c0")
    c0.SetCoefficient(x1, 1)
    c0.SetCoefficient(x2, 1)
    c0.SetCoefficient(x3, 1)

    # 10 * x1 + 4 * x2 + 5 * x3 <= 600.
    c1 = solver.Constraint(-infinity, 600.0, "c1")
    c1.SetCoefficient(x1, 10)
    c1.SetCoefficient(x2, 4)
    c1.SetCoefficient(x3, 5)

    # 2 * x1 + 2 * x2 + 6 * x3 <= 300.
    c2 = solver.Constraint(-infinity, 300.0, "c2")
    c2.SetCoefficient(x1, 2)
    c2.SetCoefficient(x2, 2)
    c2.SetCoefficient(x3, 6)

    SolveAndPrint(
        solver, [x1, x2, x3], [c0, c1, c2], optimization_problem_type != "PDLP"
    )


def SolveAndPrint(solver, variable_list, constraint_list, is_precise):
    """Solve the problem and print the solution."""
    print("Number of variables = %d" % solver.NumVariables())
    print("Number of constraints = %d" % solver.NumConstraints())

    result_status = solver.Solve()

    # The problem has an optimal solution.
    assert result_status == pywraplp.Solver.OPTIMAL

    # The solution looks legit (when using solvers others than
    # GLOP_LINEAR_PROGRAMMING, verifying the solution is highly recommended!).
    if is_precise:
        assert solver.VerifySolution(1e-7, True)

    print("Problem solved in %f milliseconds" % solver.wall_time())

    # The objective value of the solution.
    print("Optimal objective value = %f" % solver.Objective().Value())

    # The value of each variable in the solution.
    for variable in variable_list:
        print("%s = %f" % (variable.name(), variable.solution_value()))

    print("Advanced usage:")
    print("Problem solved in %d iterations" % solver.iterations())
    for variable in variable_list:
        print("%s: reduced cost = %f" % (variable.name(), variable.reduced_cost()))
    activities = solver.ComputeConstraintActivities()
    for i, constraint in enumerate(constraint_list):
        print(
            (
                "constraint %d: dual value = %f\n               activity = %f"
                % (i, constraint.dual_value(), activities[constraint.index()])
            )
        )


def main():
    RunLinearExampleNaturalLanguageAPI("GLOP")
    RunLinearExampleNaturalLanguageAPI("GLPK_LP")
    RunLinearExampleNaturalLanguageAPI("CLP")
    RunLinearExampleNaturalLanguageAPI("PDLP")
    RunLinearExampleNaturalLanguageAPI("XPRESS_LP")

    RunLinearExampleCppStyleAPI("GLOP")
    RunLinearExampleCppStyleAPI("GLPK_LP")
    RunLinearExampleCppStyleAPI("CLP")
    RunLinearExampleCppStyleAPI("PDLP")
    RunLinearExampleCppStyleAPI("XPRESS_LP")


if __name__ == "__main__":
    main()