fix setting lower bound on complementarity variables

[apozharski]

Resolves #13

[nosnoc-ci-bot]

Summary - mpecopt coverage

Summary

Generated on:	03/06/2025 - 16:18:48
Coverage date:	03/06/2025 - 16:18:29
Parser:	Cobertura
Assemblies:	2
Classes:	46
Files:	46
Line coverage:	35.5% (1147 of 3222)
Covered lines:	1147
Uncovered lines:	2075
Coverable lines:	3222
Total lines:	5140
Covered branches:	0
Total branches:	0
Method coverage:	Feature is only available for sponsors
Tag:	13_13703195162

Coverage

- 25.1%

Name	Line	Branch
****	25.1%	****
addaptive_active_set_identification	0%
BNLPProjectionStrategy
check_feasiblity_of_lpec	0%
check_if_B_stationary	0%
create_comparison_table	0%
create_lpec_functions	100%
create_lpec_subproblem	48.9%
create_mpec_functions	68.7%
create_phase_i_nlp_solver	54.7%
determine_multipliers_based_stationary_point	14.6%
fast_B_stationarity_check	0%
find_active_sets	100%
find_active_sets_piece_nlp	68%
find_nonscalar	88.2%
HomotopySolverOptions	100%
HomotopySteering
InitializationStrategy
lpec_fallback_strategy	0%
lpec_fallback_strategy_phase_ii	0%
lpec_solver	21.9%
LpecSolver
LPECSolverOptions	100%
mpec_active_set_generate_problem_functions	0%
mpec_active_set_nosnoc	0%
mpec_active_set_preprocess	0%
mpec_homotopy_solver	0%
mpec_optimizer	0%
mpecopt_phase_ii	69.3%
nice_plot_colors	0%
PieceNLPStartegy
plot_lpec	0%
print_iter_details	0%
print_iter_header	100%
print_iter_header_objective	0%
print_iter_line	100%
print_iter_line_objective	0%
print_iter_stats	91.6%
print_iter_stats_objective	0%
print_iter_summary	100%
print_iter_summary_scholtes	0%
print_phase_i	100%
print_phase_ii	100%
project_to_bounds	100%
unfold_struct	100%

mpecopt - 67.6%

Name	Line	Branch
mpecopt	67.6%	****
mpecopt.Options	100%
mpecopt.Solver	66.7%

[nurkanovic]

Thanks!