From fbb3ed8911fe0918347cdebb7a49ee1856eed8fb Mon Sep 17 00:00:00 2001 From: Lev Nachmanson Date: Mon, 14 Oct 2013 10:57:55 -0700 Subject: [PATCH] feat(lp): add LP solver and incremental LU factorization Signed-off-by: Lev Nachmanson --- src/CMakeLists.txt | 1 + src/tests/util/lp/CMakeLists.txt | 6 + src/tests/util/lp/argument_parser.h | 136 + src/tests/util/lp/compare_with_glpk.sh | 140 + src/tests/util/lp/double_compare.cpp | 51 + src/tests/util/lp/init_module.cpp | 44 + src/tests/util/lp/init_module.h | 12 + src/tests/util/lp/l0.mps | 36 + src/tests/util/lp/l0redund.mps | 61 + src/tests/util/lp/l1.mps | 25 + src/tests/util/lp/l2.mps | 27 + src/tests/util/lp/l3.mps | 28 + src/tests/util/lp/l3flipped.mps | 27 + src/tests/util/lp/l4.mps | 22 + src/tests/util/lp/l4fix.mps | 22 + src/tests/util/lp/lp.cpp | 2690 ++ src/tests/util/lp/mps_reader.h | 838 + src/tests/util/lp/murtagh.mps | 600 + src/tests/util/lp/plan.mps | 54 + src/tests/util/lp/run_netlib.sh | 57 + src/tests/util/lp/samp1.mps | 29 + src/tests/util/lp/samp2.mps | 27 + src/tests/util/lp/smt_reader.h | 382 + src/tests/util/lp/test_file_reader.h | 74 + src/tests/util/lp/test_files/acc-tight5.mps | 23587 ++++++++++++++++++ src/tests/util/lp/test_files/netlib.tar.gz | Bin 0 -> 7008872 bytes src/util/lp/CMakeLists.txt | 1 + src/util/lp/binary_heap_priority_queue.h | 230 + src/util/lp/binary_heap_upair_queue.h | 142 + src/util/lp/breakpoint.h | 22 + src/util/lp/canonic_left_side.h | 84 + src/util/lp/column_info.h | 199 + src/util/lp/core_solver_pretty_printer.h | 388 + src/util/lp/eta_matrix.h | 179 + src/util/lp/indexed_value.h | 58 + src/util/lp/indexed_vector.h | 144 + src/util/lp/lar_constraints.h | 116 + src/util/lp/lar_core_solver.h | 870 + src/util/lp/lar_solution_signature.h | 18 + src/util/lp/lar_solver.h | 884 + src/util/lp/lp.h | 13 + src/util/lp/lp_core_solver_base.h | 757 + src/util/lp/lp_dual_core_solver.h | 833 + src/util/lp/lp_dual_simplex.h | 411 + src/util/lp/lp_primal_core_solver.h | 1424 ++ src/util/lp/lp_primal_simplex.h | 465 + src/util/lp/lp_settings.h | 216 + src/util/lp/lp_solver.h | 688 + src/util/lp/lu.h | 886 + src/util/lp/matrix_domain.h | 78 + src/util/lp/numeric_pair.h | 239 + src/util/lp/permutation_matrix.h | 1238 + src/util/lp/row_eta_matrix.h | 202 + src/util/lp/scaler.h | 269 + src/util/lp/sparse_matrix.h | 1321 + src/util/lp/sparse_vector.h | 93 + src/util/lp/square_dense_submatrix.h | 434 + src/util/lp/static_matrix.h | 501 + src/util/lp/suhl_pivot_chooser.h | 65 + src/util/numerics/double.cpp | 6 +- src/util/numerics/double.h | 8 +- src/util/numerics/float.cpp | 5 + src/util/numerics/float.h | 2 + src/util/numerics/mpq.cpp | 7 + src/util/numerics/mpq.h | 2 + 65 files changed, 42468 insertions(+), 6 deletions(-) create mode 100644 src/tests/util/lp/CMakeLists.txt create mode 100644 src/tests/util/lp/argument_parser.h create mode 100755 src/tests/util/lp/compare_with_glpk.sh create mode 100644 src/tests/util/lp/double_compare.cpp create mode 100644 src/tests/util/lp/init_module.cpp create mode 100644 src/tests/util/lp/init_module.h create mode 100644 src/tests/util/lp/l0.mps create mode 100644 src/tests/util/lp/l0redund.mps create mode 100644 src/tests/util/lp/l1.mps create mode 100644 src/tests/util/lp/l2.mps create mode 100644 src/tests/util/lp/l3.mps create mode 100644 src/tests/util/lp/l3flipped.mps create mode 100644 src/tests/util/lp/l4.mps create mode 100644 src/tests/util/lp/l4fix.mps create mode 100644 src/tests/util/lp/lp.cpp create mode 100644 src/tests/util/lp/mps_reader.h create mode 100644 src/tests/util/lp/murtagh.mps create mode 100644 src/tests/util/lp/plan.mps create mode 100755 src/tests/util/lp/run_netlib.sh create mode 100644 src/tests/util/lp/samp1.mps create mode 100644 src/tests/util/lp/samp2.mps create mode 100644 src/tests/util/lp/smt_reader.h create mode 100644 src/tests/util/lp/test_file_reader.h create mode 100644 src/tests/util/lp/test_files/acc-tight5.mps create mode 100644 src/tests/util/lp/test_files/netlib.tar.gz create mode 100644 src/util/lp/CMakeLists.txt create mode 100644 src/util/lp/binary_heap_priority_queue.h create mode 100644 src/util/lp/binary_heap_upair_queue.h create mode 100644 src/util/lp/breakpoint.h create mode 100644 src/util/lp/canonic_left_side.h create mode 100644 src/util/lp/column_info.h create mode 100644 src/util/lp/core_solver_pretty_printer.h create mode 100644 src/util/lp/eta_matrix.h create mode 100644 src/util/lp/indexed_value.h create mode 100644 src/util/lp/indexed_vector.h create mode 100644 src/util/lp/lar_constraints.h create mode 100644 src/util/lp/lar_core_solver.h create mode 100644 src/util/lp/lar_solution_signature.h create mode 100644 src/util/lp/lar_solver.h create mode 100644 src/util/lp/lp.h create mode 100644 src/util/lp/lp_core_solver_base.h create mode 100644 src/util/lp/lp_dual_core_solver.h create mode 100644 src/util/lp/lp_dual_simplex.h create mode 100644 src/util/lp/lp_primal_core_solver.h create mode 100644 src/util/lp/lp_primal_simplex.h create mode 100644 src/util/lp/lp_settings.h create mode 100644 src/util/lp/lp_solver.h create mode 100644 src/util/lp/lu.h create mode 100644 src/util/lp/matrix_domain.h create mode 100644 src/util/lp/numeric_pair.h create mode 100644 src/util/lp/permutation_matrix.h create mode 100644 src/util/lp/row_eta_matrix.h create mode 100644 src/util/lp/scaler.h create mode 100644 src/util/lp/sparse_matrix.h create mode 100644 src/util/lp/sparse_vector.h create mode 100644 src/util/lp/square_dense_submatrix.h create mode 100644 src/util/lp/static_matrix.h create mode 100644 src/util/lp/suhl_pivot_chooser.h diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index 8930bf3ce3..af4e8ef7d5 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -412,6 +412,7 @@ add_subdirectory(tests/shell) if (NOT("${CROSS_COMPILE}" MATCHES "ON")) add_subdirectory(tests/shared) endif() +add_subdirectory(tests/util/lp) # Include style check if (NOT(${CMAKE_SYSTEM_NAME} MATCHES "Windows")) diff --git a/src/tests/util/lp/CMakeLists.txt b/src/tests/util/lp/CMakeLists.txt new file mode 100644 index 0000000000..13a8c30be6 --- /dev/null +++ b/src/tests/util/lp/CMakeLists.txt @@ -0,0 +1,6 @@ +add_executable(lp_tst lp.cpp $ $) +target_link_libraries(lp_tst ${EXTRA_LIBS}) +add_test(lp_tst ${CMAKE_CURRENT_BINARY_DIR}/lp_tst) +add_executable(double_compare double_compare.cpp $ $) +target_link_libraries(double_compare ${EXTRA_LIBS}) +add_test(double_compare ${CMAKE_CURRENT_BINARY_DIR}/double_compare) diff --git a/src/tests/util/lp/argument_parser.h b/src/tests/util/lp/argument_parser.h new file mode 100644 index 0000000000..7a699f56e9 --- /dev/null +++ b/src/tests/util/lp/argument_parser.h @@ -0,0 +1,136 @@ +/* +Copyright (c) 2013 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ + +#include +#include +#include +#include +#include + +using namespace std; +namespace lean { +class argument_parser { + unordered_map m_options; + unordered_map m_options_with_after_string; + std::set m_used_options; + unordered_map m_used_options_with_after_string; + vector m_free_args; + vector m_args; + +public: + string m_error_message; + argument_parser(unsigned argn, char * const* args) { + for (unsigned i = 0; i < argn; i++) { + m_args.push_back(string(args[i])); + } + } + + void add_option(string s) { + add_option_with_help_string(s, ""); + } + + void add_option_with_help_string(string s, string help_string) { + m_options[s]=help_string; + } + + void add_option_with_after_string(string s) { + add_option_with_after_string_with_help(s, ""); + } + + void add_option_with_after_string_with_help(string s, string help_string) { + m_options_with_after_string[s]=help_string; + } + + + bool parse() { + bool status_is_ok = true; + for (unsigned i = 0; i < m_args.size(); i++) { + string ar = m_args[i]; + if (m_options.find(ar) != m_options.end() ) + m_used_options.insert(ar); + else if (m_options_with_after_string.find(ar) != m_options_with_after_string.end()) { + if (i == m_args.size() - 1) { + m_error_message = "Argument is missing after "+ar; + return false; + } + i++; + m_used_options_with_after_string[ar] = m_args[i]; + } else { + if (starts_with(ar, "-") || starts_with(ar, "//")) { + m_error_message = "Unknown option " + ar; + status_is_ok = false; + } + + m_free_args.push_back(ar); + } + } + return status_is_ok; + } + + bool contains(unordered_map & m, string s) { + return m.find(s) != m.end(); + } + + bool contains(std::set & m, string s) { + return m.find(s) != m.end(); + } + + bool option_is_used(string option) { + return contains(m_used_options, option) || contains(m_used_options_with_after_string, option); + } + + string get_option_value(string option) { + auto t = m_used_options_with_after_string.find(option); + if (t != m_used_options_with_after_string.end()){ + return t->second; + } + return string(); + } + + bool starts_with(string s, char const * prefix) { + return starts_with(s, string(prefix)); + } + + bool starts_with(string s, string prefix) { + return s.substr(0, prefix.size()) == prefix; + } + + string usage_string() { + string ret = ""; + vector unknown_options; + for (auto t : m_free_args) { + if (starts_with(t, "-") || starts_with(t, "\\")) { + unknown_options.push_back(t); + } + } + if (unknown_options.size()) { + ret = "Unknown options:"; + } + for (auto unknownOption : unknown_options) { + ret += unknownOption; + ret += ","; + } + ret += "\n"; + ret += "Usage:\n"; + for (auto allowed_option : m_options) + ret += allowed_option.first + " " + (allowed_option.second.size() == 0 ? string("") : string("/") + allowed_option.second) + string("\n"); + for (auto s : m_options_with_after_string) { + ret += s.first + " " + (s.second.size() == 0? " \"option value\"":("\""+ s.second+"\"")) + "\n"; + } + return ret; + } + + void print() { + for (string s : m_used_options) { + cout << s << endl; + } + for (auto & t : m_used_options_with_after_string) { + cout << t.first << " " << t.second << endl; + } + } +}; +} diff --git a/src/tests/util/lp/compare_with_glpk.sh b/src/tests/util/lp/compare_with_glpk.sh new file mode 100755 index 0000000000..ec880ffa73 --- /dev/null +++ b/src/tests/util/lp/compare_with_glpk.sh @@ -0,0 +1,140 @@ +#!/bin/bash +if [ $# -ne 2 -a $# -ne 3 ]; then + echo "Usage: compare_with_glpk.sh --min [--mpq] mps_file_name" + echo "or compare_with_glpk.sh --max [--mpq] mps_file_name" + exit 1 +fi +minmax_option=$1 +if [ $minmax_option != "--min" -a $minmax_option != "--max" ]; then + echo "Usage: compare_with_glpk.sh --min [--mpq] mps_file_name" + echo "or compare_with_glpk.sh --max [--mpq] mps_file_name" + exit 1 +fi + +if [ $minmax_option == "--min" ]; then + prefix="_min"; +else + if [ $minmax_option == "--max" ]; then + prefix="_max" + else + echo "Usage: compare_with_glpk.sh minmax_option mps_file_name" + echo "where minmax_option can be --min or --max" + exit 1 + fi +fi +mpq_option="" +if [ $# -eq 3 ]; then + mpq_option=$2 + if [ $mpq_option != "--mpq" ]; then + echo "Usage: compare_with_glpk.sh --min [--mpq] mps_file_name" + echo "or compare_with_glpk.sh --max [--mpq] mps_file_name" + exit 1 + fi + mps_input_file=$3 +else + mps_input_file=$2 +fi + +filename=$(basename "$mps_input_file") +extension="${filename##*.}" +filename="${filename%.*}" +#testpath="${mps_input_file%/*}" +testpath="/tmp" +glpsol_output="${testpath}""/""${filename}"$prefix".out" +lp_tst_output="${testpath}""/""${filename}"$prefix".lp_tst.out""$mpq_option" +lp_tst=$HOME"/projects/lean/build/release/tests/util/lp/lp_tst" +cost_compare=$HOME"/projects/lean/build/release/tests/util/lp/double_compare" + +if [ $# -ne 3 ]; then + glpsol --nointopt --nomip $minmax_option --tmlim 60 -o "${glpsol_output}" "${mps_input_file}" > /dev/null + status=$? + if [ $status -ne 0 ]; then + echo "glpsol failed" + exit 2 + fi +fi + +function get_status_from_output() { + local __resultvar=$1 + local status_str=$(grep Status $2) + local tokens=( $status_str ) + local myresult=${tokens[1]} + eval $__resultvar="'$myresult'" +} + +function get_cost_from_glpout() { + local __resultvar=$1 + local status_str=$(grep Objective "${glpsol_output}") + local tokens=( $status_str ) + local myresult=${tokens[3]} + eval $__resultvar="'$myresult'" +} + +get_status_from_output glp_status $glpsol_output + +get_cost_from_glpout glp_cost + +# ~/projects/lean/build/debug/tests/util/lp/double_compare 24501.2549 2.450125496e+04 0.01 +# compare_return=$? +# if [ $compare_return -eq 2 ]; then +# echo "Wrong usage of double_compare"; +# else +# if [ $compare_return -ne 0 ]; then +# echo "the difference is too large" +# else +# echo "the difference is OK" +# fi +# fi + +if [ $# -eq 2 ] ; then + $lp_tst --file $mps_input_file --time_limit 60 $minmax_option > $lp_tst_output +else + $lp_tst --file $mps_input_file --time_limit 12000 $minmax_option "--mpq" > $lp_tst_output +fi +status=$? +if [ $status -ne 0 ]; then + echo "lp_tst failed" + exit 1 +fi + +get_status_from_output lp_tst_status $lp_tst_output + +if [ $glp_status != $lp_tst_status ]; then + if [ "$glp_status" = UNDEFINED ] && [ "$lp_tst_status" = UNBOUNDED ]; then + exit 0 + else + if [ "$glp_status" = UNDEFINED ] && [ "$lp_tst_status" = INFEASIBLE ]; then + exit 0 + else + echo "glpsol and lp_tst disagree: glpsol status is ""$glp_status" + echo "but lp_tst status is ""$lp_tst_status" + exit 1 + fi + fi +fi + +if [ $glp_status != OPTIMAL ]; then + cout "exiting 0" + exit 0 +fi + + +function get_cost_from_lp_tst_out() { + local __resultvar=$1 + local cost_str=$(grep cost "${lp_tst_output}"| tail -1) + local tokens=( $cost_str ) + local myresult=${tokens[2]} + eval $__resultvar="'$myresult'" +} + + +get_cost_from_lp_tst_out lp_tst_cost + +$cost_compare $lp_tst_cost $glp_cost +status=$? +if [ $status -ne 0 ]; then + echo "the costs differ too much" + echo "glp cost is ""$glp_cost"", but lp_tst_cost is ""$lp_tst_cost" + exit 1 +fi +exit 0 diff --git a/src/tests/util/lp/double_compare.cpp b/src/tests/util/lp/double_compare.cpp new file mode 100644 index 0000000000..0ef4b3881e --- /dev/null +++ b/src/tests/util/lp/double_compare.cpp @@ -0,0 +1,51 @@ +/* +Copyright (c) 2013 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ + +// This file is needed for testing. It can be called with two or three +// strings represinting double numbers. If the absolute value of the +// difference between the first two numbers is less than the third +// one, then 0 is returned. Otherwise 1 is returned. If the number of +// arguments is two and the numbers are small then 0 returned. If the +// numbers are not too small then 0 returned when the absolute value +// of their difference is smaller than one percent of their maximal +// abs value. If the number parameters is not 2 or 3, or the arguments +// cannot be converted to doubles then -1 is returned + + +#include +using namespace std; +#include +#include + +int main(int argn, char * const * argv) { + if (argn != 4 && argn != 3) { + cout << "Usage is \"n1 n2 [n3]" << endl; + return 2; + } + + double a = atof(argv[1]); + double b = atof(argv[2]); + if (argn == 4) { + double c = atof(argv[3]); + if (fabs(a - b) < c) { + return 0; + } + return 1; + } + + // argn == 3 + double maxval = max(fabs(a), fabs(b)); + if (maxval < 0.000001) { + return 0; + } + + double one_percent = maxval / 100; + if (fabs(a - b) > one_percent) { + return 1; + } + return 0; +} diff --git a/src/tests/util/lp/init_module.cpp b/src/tests/util/lp/init_module.cpp new file mode 100644 index 0000000000..5350a2a049 --- /dev/null +++ b/src/tests/util/lp/init_module.cpp @@ -0,0 +1,44 @@ +/* +Copyright (c) 2014 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ +#include "util/ascii.h" +#include "util/debug.h" +#include "util/trace.h" +#include "util/serializer.h" +#include "util/thread_script_state.h" +#include "util/script_state.h" +#include "util/name.h" +#include "util/name_generator.h" +#include "util/lean_path.h" +#include "util/thread.h" +#include "util/memory_pool.h" + +namespace lean { +void initialize_util_module() { + initialize_debug(); + initialize_trace(); + initialize_serializer(); + initialize_thread(); + initialize_ascii(); + initialize_thread_script_state(); + initialize_script_state(); + initialize_name(); + initialize_name_generator(); + initialize_lean_path(); +} +void finalize_util_module() { + finalize_lean_path(); + finalize_name_generator(); + finalize_name(); + finalize_script_state(); + finalize_thread_script_state(); + finalize_ascii(); + finalize_thread(); + finalize_serializer(); + finalize_trace(); + finalize_debug(); +} +} diff --git a/src/tests/util/lp/init_module.h b/src/tests/util/lp/init_module.h new file mode 100644 index 0000000000..17f8d3d631 --- /dev/null +++ b/src/tests/util/lp/init_module.h @@ -0,0 +1,12 @@ +/* +Copyright (c) 2014 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ +#pragma once + +namespace lean { +void initialize_util_module(); +void finalize_util_module(); +} diff --git a/src/tests/util/lp/l0.mps b/src/tests/util/lp/l0.mps new file mode 100644 index 0000000000..70bbf3b885 --- /dev/null +++ b/src/tests/util/lp/l0.mps @@ -0,0 +1,36 @@ +NAME l0 (135 a) +ROWS + N Z + E R1 + E R2 +COLUMNS + X1 R1 1.0 + X1 Z -3.0 + X2 Z -1.0 R2 1.0 + X3 Z -1.0 R1 3 R2 -2 + X4 Z 2 R1 1 R2 -1 + X5 Z -1 R1 -5 R2 4 + X6 Z 1 R1 -2 R2 1 + X7 Z 1 R1 4 R2 -3 + X8 Z -4 R1 -6 R2 5 +RHS + RHS1 R1 7 + RHS1 R2 -3 +BOUNDS + LO BND1 X1 0 + UP BND1 X1 8 + LO BND1 X2 0 + UP BND1 X2 6 + LO BND1 X3 0 + UP BND1 X3 4 + LO BND1 X4 0 + UP BND1 X4 15 + LO BND1 X5 0 + UP BND1 X5 2 + LO BND1 X6 0 + UP BND1 X6 10 + LO BND1 X7 0 + UP BND1 X7 10 + LO BND1 X8 0 + UP BND1 X8 3 +ENDATA diff --git a/src/tests/util/lp/l0redund.mps b/src/tests/util/lp/l0redund.mps new file mode 100644 index 0000000000..9d0a951db8 --- /dev/null +++ b/src/tests/util/lp/l0redund.mps @@ -0,0 +1,61 @@ +NAME l0 +ROWS + N Z + E R1 + E R4R + E R3 + E R4 + E R11 + E R1R + E R2R + E R3R + E R11R + E R2 +COLUMNS + X1 R1 1.0 R11 1.0 + X1 Z -3.0 + X2 Z -1.0 R4R 1.0 R3 1.0 R4 1.0 + X3 Z -1.0 R1 3 R4R -2 R3 -2 R4 -2 + X4 Z 2 R1 1 R11 1 R4R -1 R3 -1 R4 -1 + X5 Z -1 R1 -5 R11 -5 R4R 4 R3 4 R4 4 + X6 Z 1 R1 -2 R11 -2 R4R 1 R3 1 R4 1 + X7 Z 1 R1 4 R11 4 R4R -3 R3 -3 R4 -3 + X8 Z -4 R1 -6 R11 -6 R4R 5 R3 5 R4 5 + X1 R1R 1.0 R11R 1.0 + X1 Z -3.0 + X2 Z -1.0 R2R 1.0 R3R 1.0 R2 1.0 + X3 Z -1.0 R1R 3 R2R -2 R3R -2 R2 -2 + X4 Z 2 R1R 1 R11R 1 R2R -1 R3R -1 R2 -1 + X5 Z -1 R1R -5 R11R -5 R2R 4 R3R 4 R2 4 + X6 Z 1 R1R -2 R11R -2 R2R 1 R3R 1 R2 1 + X7 Z 1 R1R 4 R11R 4 R2R -3 R3R -3 R2 -3 + X8 Z -4 R1R -6 R11R -6 R2R 5 R3R 5 R2 5 +RHS + RHS1 R1 7 + RHS1 R4R -3 + RHS1 R3 -3 + RHS1 R4 -3 + RHS1 R11 7 + RHS1 R1R 7 + RHS1 R2R -3 + RHS1 R3R -3 + RHS1 R2 -3 + RHS1 R11R 7 +BOUNDS + LO BND1 X1 0 + UP BND1 X1 8 + LO BND1 X2 0 + UP BND1 X2 6 + LO BND1 X3 0 + UP BND1 X3 4 + LO BND1 X4 0 + UP BND1 X4 15 + LO BND1 X5 0 + UP BND1 X5 2 + LO BND1 X6 0 + UP BND1 X6 10 + LO BND1 X7 0 + UP BND1 X7 10 + LO BND1 X8 0 + UP BND1 X8 3 +ENDATA diff --git a/src/tests/util/lp/l1.mps b/src/tests/util/lp/l1.mps new file mode 100644 index 0000000000..e2cd2e26df --- /dev/null +++ b/src/tests/util/lp/l1.mps @@ -0,0 +1,25 @@ +*SOURCE Chvatal, page 135(b) +NAME l1 +ROWS + N Z + L R1 + L R2 + L R3 + L R4 +COLUMNS + X1 Z 3 R1 1 R2 1 R3 1 R4 1 + X2 Z 1 R1 4 R2 3 R3 2 R4 3 + X3 Z 4 R1 3 R2 -1 R3 3 R4 1 + X4 Z 2 R1 3 R2 1 R3 2 R4 1 + +RHS + RHS1 R1 2 + RHS1 R2 -2 + RHS1 R3 3 + RHS1 R4 -3 +BOUNDS + FR BND1 X1 + FR BND1 X2 + LO BND1 X3 0 + LO BND1 X4 0 +ENDATA diff --git a/src/tests/util/lp/l2.mps b/src/tests/util/lp/l2.mps new file mode 100644 index 0000000000..c6ac587eef --- /dev/null +++ b/src/tests/util/lp/l2.mps @@ -0,0 +1,27 @@ +NAME l2 ( from chvatal's book page 135, Problem c. ) +ROWS + N Z + L R1 + L R2 + E R3 +COLUMNS + X1 Z 5 R1 3 R2 -5 R3 1 + X2 Z 2 R1 1 R2 4 R3 1 + X3 Z -3 R1 -4 R2 2 R3 2 + X4 Z 3 R1 2 R2 -3 R3 1 + X5 Z 6 R1 5 R2 2 R3 1 + X6 Z 1 R1 1 R2 3 R3 2 +RHS + RHS1 R1 3 + RHS1 R2 25 + RHS1 R3 4 +BOUNDS + LO BND1 X1 0 + LO BND1 X2 2 + UP BND1 X2 10 + UP BND1 X3 0 + LO BND1 X4 -3 + UP BND1 X4 3 + FR BND1 X5 + FR BND1 X6 +ENDATA diff --git a/src/tests/util/lp/l3.mps b/src/tests/util/lp/l3.mps new file mode 100644 index 0000000000..b0ce59c67e --- /dev/null +++ b/src/tests/util/lp/l3.mps @@ -0,0 +1,28 @@ +NAME l3 ( from chvatal's book page 135, Problem (d) the problem is infeasible ) + +ROWS + N Z + E R1 + E R2 + E R3 + E R4 + L R5 +COLUMNS + X1 Z 8 R1 3 R2 -1 R3 1 R4 2 R5 2 + X2 Z 6 R1 2 R2 2 R3 0 R4 -3 R5 0 + X3 Z -2 R1 -1 R2 -2 R3 0 R4 2 R5 1 + X4 Z 6 R1 3 R2 0 R3 -3 R4 3 R5 0 + X5 Z -3 R1 2 R2 0 R3 2 R4 0 R5 -1 +RHS + RHS1 R1 7 + RHS1 R2 10 + RHS1 R3 7 + RHS1 R4 -10 + RHS1 R5 -6 +BOUNDS + LO BND1 X1 0 + LO BND1 X2 2 + FR BND1 X3 + FR BND1 X4 + FR BND1 X5 +ENDATA diff --git a/src/tests/util/lp/l3flipped.mps b/src/tests/util/lp/l3flipped.mps new file mode 100644 index 0000000000..efbed0ab63 --- /dev/null +++ b/src/tests/util/lp/l3flipped.mps @@ -0,0 +1,27 @@ +NAME l3 ( from chvatal's book page 135, Problem d. ) +ROWS + N Z + E R1 + E R2 + E R3 + E R4 + L R5 +COLUMNS + X1 Z 8 R1 3 R2 -1 R3 1 R4 2 R5 2 + X2 Z -6 R1 -2 R2 -2 R3 0 R4 3 R5 0 + X3 Z -2 R1 -1 R2 -2 R3 0 R4 2 R5 1 + X4 Z 6 R1 3 R2 0 R3 -3 R4 3 R5 0 + X5 Z -3 R1 2 R2 0 R3 2 R4 0 R5 -1 +RHS + RHS1 R1 7 + RHS1 R2 10 + RHS1 R3 7 + RHS1 R4 -10 + RHS1 R5 -6 +BOUNDS + LO BND1 X1 0 + UP BND1 X2 -2 + FR BND1 X3 + FR BND1 X4 + FR BND1 X5 +ENDATA diff --git a/src/tests/util/lp/l4.mps b/src/tests/util/lp/l4.mps new file mode 100644 index 0000000000..1e7ce2dda8 --- /dev/null +++ b/src/tests/util/lp/l4.mps @@ -0,0 +1,22 @@ +NAME l3 ( from chvatal's book page 135, Problem e. ) +ROWS + N Z + E R1 + E R2 + E R3 + E R4 +COLUMNS + X1 Z 1 R1 3 R2 4 R3 2 R4 1 + X2 Z 0 R1 5 R2 6 R3 4 R4 1 + X3 Z 0 R1 3 R2 5 R3 1 R4 2 + X4 Z 0 R1 2 R2 3 R3 1 R4 1 + X5 Z 0 R1 1 R2 5 R3 -3 R4 4 + X6 Z 0 R1 2 R2 5 R3 -1 R4 3 + X7 Z 0 R1 1 R2 6 R3 -4 R4 5 +RHS + RHS1 R1 6 + RHS1 R2 11 + RHS1 R3 1 + RHS1 R4 5 +BOUNDS +ENDATA diff --git a/src/tests/util/lp/l4fix.mps b/src/tests/util/lp/l4fix.mps new file mode 100644 index 0000000000..1e7ce2dda8 --- /dev/null +++ b/src/tests/util/lp/l4fix.mps @@ -0,0 +1,22 @@ +NAME l3 ( from chvatal's book page 135, Problem e. ) +ROWS + N Z + E R1 + E R2 + E R3 + E R4 +COLUMNS + X1 Z 1 R1 3 R2 4 R3 2 R4 1 + X2 Z 0 R1 5 R2 6 R3 4 R4 1 + X3 Z 0 R1 3 R2 5 R3 1 R4 2 + X4 Z 0 R1 2 R2 3 R3 1 R4 1 + X5 Z 0 R1 1 R2 5 R3 -3 R4 4 + X6 Z 0 R1 2 R2 5 R3 -1 R4 3 + X7 Z 0 R1 1 R2 6 R3 -4 R4 5 +RHS + RHS1 R1 6 + RHS1 R2 11 + RHS1 R3 1 + RHS1 R4 5 +BOUNDS +ENDATA diff --git a/src/tests/util/lp/lp.cpp b/src/tests/util/lp/lp.cpp new file mode 100644 index 0000000000..42e596d000 --- /dev/null +++ b/src/tests/util/lp/lp.cpp @@ -0,0 +1,2690 @@ +/* +Copyright (c) 2013 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ +#include +#include +#include +#include +#include "util/lp/lp.h" +#include "util/lp/lp_primal_simplex.h" +#include +#include + +#include "tests/util/lp/mps_reader.h" +#include "tests/util/lp/smt_reader.h" +#include "util/numerics/mpq.h" +#include "util/lp/binary_heap_priority_queue.h" +#include "tests/util/lp/argument_parser.h" +#include "tests/util/lp/test_file_reader.h" +#include +#include +#include "util/lp/indexed_value.h" +#include +#include "tests/util/lp/init_module.h" +#include "util/numerics/init_module.h" +#include +#include +#include "util/lp/lar_solver.h" +#include "util/lp/numeric_pair.h" +#include "util/lp/binary_heap_upair_queue.h" +#include +using namespace lean; +using namespace std; +unsigned seed = 1; +#ifndef NDEBUG +unsigned lp_settings::ddd = 0; +#endif +std::unordered_map default_column_names(unsigned n) { + std::unordered_map ret; + for (unsigned i = 0; i < n; i++) { + ret[i] = std::string("x") + T_to_string(i); + } + return ret; +} + +template +void test_matrix(sparse_matrix & a) { + auto m = a.dimension(); + +// copy a to b in the reversed order + sparse_matrix b(m); + std::cout << "copy b to a"<< std::endl; + for (int row = m - 1; row >= 0; row--) + for (int col = m - 1; col >= 0; col --) { + b(row, col) = (T const&) a(row, col); + } + + + std::cout << "zeroing b in the reverse order"<< std::endl; + for (int row = m - 1; row >= 0; row--) + for (int col = m - 1; col >= 0; col --) + b.set(row, col, T(0)); + + + + for (unsigned row = 0; row < m; row ++) + for (unsigned col = 0; col < m; col ++) + a.set(row, col, T(0)); + + + unsigned i = rand_r(& seed) % m; + unsigned j = rand_r(& seed) % m; + + auto t = T(1); + + a.set(i, j, t); + + lean_assert(a.get(i, j) == t); + + unsigned j1; + if (j < m - 1) { + j1 = m - 1; + a.set(i, j1, T(2)); + } +} + +void tst1() { + std::cout << "testing the minimial matrix with 1 row and 1 column" << std::endl; + sparse_matrix m0(1); + m0.set(0, 0, 1); + // print_matrix(m0); + m0.set(0, 0, 0); + // print_matrix(m0); + test_matrix(m0); + + unsigned rows = 2; + sparse_matrix m(rows); + std::cout << "setting m(0,1)=" << std::endl; + + m.set(0, 1, 11); + m.set(0, 0, 12); + + // print_matrix(m); + + test_matrix(m); + + sparse_matrix m1(2); + m1.set(0, 0, 2); + m1.set(1, 0, 3); + // print_matrix(m1); + std::cout << " zeroing matrix 2 by 2" << std::endl; + m1.set(0, 0, 0); + m1.set(1, 0, 0); + // print_matrix(m1); + + test_matrix(m1); + + + std::cout << "printing zero matrix 3 by 1" << std::endl; + sparse_matrix m2(3); + // print_matrix(m2); + + m2.set(0, 0, 1); + m2.set(2, 0, 2); + std::cout << "printing matrix 3 by 1 with a gap" << std::endl; + // print_matrix(m2); + + test_matrix(m2); + + sparse_matrix m10by9(10); + m10by9.set(0, 1, 1); + + m10by9(0, 1) = 4; + + float test = m10by9(0, 1); + + std::cout << "got " << test << std:: endl; + + + m10by9.set(0, 8, 8); + m10by9.set(3, 4, 7); + m10by9.set(3, 2, 5); + m10by9.set(3, 8, 99); + m10by9.set(3, 2, 6); + m10by9.set(1, 8, 9); + m10by9.set(4, 0, 40); + m10by9.set(0, 0, 10); + + std::cout << "printing matrix 10 by 9" << std::endl; + // print_matrix(m10by9); + + + test_matrix(m10by9); + std::cout <<"zeroing m10by9\n"; +#ifndef NDEBUG + for (unsigned int i = 0; i < m10by9.dimension(); i++) + for (unsigned int j = 0; j < m10by9.column_count(); j++) + m10by9.set(i, j, 0); +#endif + // print_matrix(m10by9); +} + +vector allocate_basis_heading(unsigned count) { // the rest of initilization will be handled by lu_QR + vector basis_heading(count, -1); + return basis_heading; +} + + +void test_small_lu(lp_settings & settings) { + std::cout << " test_small_lu" << std::endl; + static_matrix m(3, 6); + vector basis(3); + basis[0] = 0; + basis[1] = 1; + basis[2] = 3; + + m(0, 0) = 1; m(0, 2)= 3.9; m(2, 3) = 11; m(0, 5) = -3; + m(1, 1) = 4; m(1, 4) = 7; + m(2, 0) = 1.8; m(2, 2) = 5; m(2, 4) = 2; m(2, 5) = 8; + +#ifndef NDEBUG + print_matrix(m); +#endif + vector heading = allocate_basis_heading(m.column_count()); + vector non_basic_columns; + init_basis_heading_and_non_basic_columns_vector(basis, m.row_count(), heading, m.column_count(), non_basic_columns); + lu l(m, basis, heading, settings, non_basic_columns); + lean_assert(l.is_correct()); + indexed_vector w(m.row_count()); + cout << "entering 2, leaving 0" << endl; + l.prepare_entering(2, w); // to init vector w + l.replace_column(0, 0, w); + l.change_basis(2, 0); + // #ifndef NDEBUG + // cout << "we were factoring " << endl; + // print_matrix(get_B(l)); + // #endif + lean_assert(l.is_correct()); + cout << "entering 4, leaving 3" << endl; + l.prepare_entering(4, w); // to init vector w + l.replace_column(3, 0, w); + l.change_basis(4, 3); + cout << "we were factoring " << endl; +#ifndef NDEBUG + print_matrix(get_B(l)); +#endif + lean_assert(l.is_correct()); + + cout << "entering 5, leaving 1" << endl; + l.prepare_entering(5, w); // to init vector w + l.replace_column(1, 0, w); + l.change_basis(5, 1); + cout << "we were factoring " << endl; +#ifndef NDEBUG + print_matrix(get_B(l)); +#endif + lean_assert(l.is_correct()); + cout << "entering 3, leaving 2" << endl; + l.prepare_entering(3, w); // to init vector w + l.replace_column(2, 0, w); + l.change_basis(3, 2); + cout << "we were factoring " << endl; +#ifndef NDEBUG + print_matrix(get_B(l)); +#endif + lean_assert(l.is_correct()); +} + + + +void fill_long_row(sparse_matrix &m, int i) { + int n = m.dimension(); + for (int j = 0; j < n; j ++) { + m (i, (j + i) % n) = j * j; + } +} + +void fill_long_row(static_matrix &m, int i) { + int n = m.column_count(); + for (int j = 0; j < n; j ++) { + m (i, (j + i) % n) = j * j; + } +} + + +void fill_long_row_exp(sparse_matrix &m, int i) { + int n = m.dimension(); + + for (int j = 0; j < n; j ++) { + m(i, j) = rand_r(& seed) % 20; + } +} + +void fill_long_row_exp(static_matrix &m, int i) { + int n = m.column_count(); + + for (int j = 0; j < n; j ++) { + m(i, j) = rand_r(& seed) % 20; + } +} + +void fill_larger_sparse_matrix_exp(sparse_matrix & m){ + for ( unsigned i = 0; i < m.dimension(); i++ ) + fill_long_row_exp(m, i); +} + +void fill_larger_sparse_matrix_exp(static_matrix & m){ + for ( unsigned i = 0; i < m.row_count(); i++ ) + fill_long_row_exp(m, i); +} + + +void fill_larger_sparse_matrix(sparse_matrix & m){ + for ( unsigned i = 0; i < m.dimension(); i++ ) + fill_long_row(m, i); +} + +void fill_larger_sparse_matrix(static_matrix & m){ + for ( unsigned i = 0; i < m.row_count(); i++ ) + fill_long_row(m, i); +} + + +int perm_id = 0; + +#ifndef NDEBUG +void test_larger_lu_exp(lp_settings & settings) { + std::cout << " test_larger_lu_exp" << std::endl; + static_matrix m(6, 12); + std::vector basis(6); + basis[0] = 1; + basis[1] = 3; + basis[2] = 0; + basis[3] = 4; + basis[4] = 5; + basis[5] = 6; + + + fill_larger_sparse_matrix_exp(m); + // print_matrix(m); + vector heading = allocate_basis_heading(m.column_count()); + vector non_basic_columns; + init_basis_heading_and_non_basic_columns_vector(basis, m.row_count(), heading, m.column_count(), non_basic_columns); + lu l(m, basis, heading, settings, non_basic_columns); + + dense_matrix left_side = l.get_left_side(); + dense_matrix right_side = l.get_right_side(); + lean_assert(left_side == right_side); + int leaving = 3; + int entering = 8; + for (unsigned i = 0; i < m.row_count(); i++) { + std::cout << static_cast(m(i, entering)) << std::endl; + } + + indexed_vector w(m.row_count()); + + l.prepare_entering(entering, w); + l.replace_column(leaving, 0, w); + l.change_basis(entering, leaving); + lean_assert(l.is_correct()); + + l.prepare_entering(11, w); // to init vector w + l.replace_column(0, 0, w); + l.change_basis(11, 0); + lean_assert(l.is_correct()); +} + +void test_larger_lu_with_holes(lp_settings & settings) { + std::cout << " test_larger_lu_with_holes" << std::endl; + static_matrix m(8, 9); + std::vector basis(8); + for (unsigned i = 0; i < m.row_count(); i++) { + basis[i] = i; + } + m(0, 0) = 1; m(0, 1) = 2; m(0, 2) = 3; m(0, 3) = 4; m(0, 4) = 5; m(0, 8) = 99; + /* */ m(1, 1) =- 6; m(1, 2) = 7; m(1, 3) = 8; m(1, 4) = 9; + /* */ m(2, 2) = 10; + /* */ m(3, 2) = 11; m(3, 3) = -12; + /* */ m(4, 2) = 13; m(4, 3) = 14; m(4, 4) = 15; + // the rest of the matrix is denser + m(5, 4) = 28; m(5, 5) = -18; m(5, 6) = 19; m(5, 7) = 25; + /* */ m(6, 5) = 20; m(6, 6) = -21; + /* */ m(7, 5) = 22; m(7, 6) = 23; m(7, 7) = 24; m(7, 8) = 88; + print_matrix(m); + vector heading = allocate_basis_heading(m.column_count()); + vector non_basic_columns; + init_basis_heading_and_non_basic_columns_vector(basis, m.row_count(), heading, m.column_count(), non_basic_columns); + lu l(m, basis, heading, settings, non_basic_columns); + std::cout << "printing factorization" << std::endl; + for (int i = l.tail_size() - 1; i >=0; i--) { + auto lp = l.get_lp_matrix(i); + lp->set_number_of_columns(m.row_count()); + lp->set_number_of_rows(m.row_count()); + print_matrix(* lp); + } + + dense_matrix left_side = l.get_left_side(); + dense_matrix right_side = l.get_right_side(); + if (!(left_side == right_side)) { + std::cout << "different sides" << std::endl; + } + + indexed_vector w(m.row_count()); + l.prepare_entering(8, w); // to init vector w + l.replace_column(0, 0, w); + l.change_basis(8, 0); + lean_assert(l.is_correct()); +} + + +void test_larger_lu(lp_settings& settings) { + std::cout << " test_larger_lu" << std::endl; + static_matrix m(6, 12); + std::vector basis(6); + basis[0] = 1; + basis[1] = 3; + basis[2] = 0; + basis[3] = 4; + basis[4] = 5; + basis[5] = 6; + + + fill_larger_sparse_matrix(m); + print_matrix(m); + + vector heading = allocate_basis_heading(m.column_count()); + vector non_basic_columns; + init_basis_heading_and_non_basic_columns_vector(basis, m.row_count(), heading, m.column_count(), non_basic_columns); + auto l = lu (m, basis, heading, settings, non_basic_columns); + // std::cout << "printing factorization" << std::endl; + // for (int i = lu.tail_size() - 1; i >=0; i--) { + // auto lp = lu.get_lp_matrix(i); + // lp->set_number_of_columns(m.row_count()); + // lp->set_number_of_rows(m.row_count()); + // print_matrix(* lp); + // } + + dense_matrix left_side = l.get_left_side(); + dense_matrix right_side = l.get_right_side(); + if (!(left_side == right_side)) { + cout << "left side" << endl; + print_matrix(left_side); + cout << "right side" << endl; + print_matrix(right_side); + + std::cout << "different sides" << std::endl; + cout << "initial factorization is incorrect" << endl; + exit(1); + } + indexed_vector w(m.row_count()); + l.prepare_entering(9, w); // to init vector w + l.replace_column(0, 0, w); + l.change_basis(9, 0); + lean_assert(l.is_correct()); +} + + +void test_lu(lp_settings & settings) { + test_small_lu(settings); + test_larger_lu(settings); + test_larger_lu_with_holes(settings); + test_larger_lu_exp(settings); +} +#endif + + + + + + +void init_b(std::vector & b, sparse_matrix & m, vector& x) { + for (unsigned i = 0; i < m.dimension(); i++) { + b.push_back(m.dot_product_with_row(i, x)); + } +} + +void init_b(std::vector & b, static_matrix & m, std::vector & x) { + for (unsigned i = 0; i < m.row_count(); i++) { + b.push_back(m.dot_product_with_row(i, x)); + } +} + + +void test_lp_0() { + std::cout << " test_lp_0 " << std::endl; + static_matrix m_(3, 7); + m_(0, 0) = 3; m_(0, 1) = 2; m_(0, 2) = 1; m_(0, 3) = 2; m_(0, 4) = 1; + m_(1, 0) = 1; m_(1, 1) = 1; m_(1, 2) = 1; m_(1, 3) = 1; m_(1, 5) = 1; + m_(2, 0) = 4; m_(2, 1) = 3; m_(2, 2) = 3; m_(2, 3) = 4; m_(2, 6) = 1; + std::vector x_star(7); + x_star[0] = 225; x_star[1] = 117; x_star[2] = 420; + x_star[3] = x_star[4] = x_star[5] = x_star[6] = 0; + std::vector b; + init_b(b, m_, x_star); + std::vector basis(3); + basis[0] = 0; basis[1] = 1; basis[2] = 2; + std::vector costs(7); + costs[0] = 19; + costs[1] = 13; + costs[2] = 12; + costs[3] = 17; + costs[4] = 0; + costs[5] = 0; + costs[6] = 0; + + std::vector column_types(7, low_bound); + std::vector upper_bound_values; + lp_settings settings; + auto cn = default_column_names(m_.column_count()); + lp_primal_core_solver lpsolver(m_, b, x_star, basis, costs, column_types, upper_bound_values, settings, cn); + + lpsolver.solve(); +} + +void test_lp_1() { + std::cout << " test_lp_1 " << std::endl; + static_matrix m(4, 7); + m(0, 0) = 1; m(0, 1) = 3; m(0, 2) = 1; m(0, 3) = 1; + m(1, 0) = -1; m(1, 2) = 3; m(1, 4) = 1; + m(2, 0) = 2; m(2, 1) = -1; m(2, 2) = 2; m(2, 5) = 1; + m(3, 0) = 2; m(3, 1) = 3; m(3, 2) = -1; m(3, 6) = 1; +#ifndef NDEBUG + print_matrix(m); +#endif + std::vector x_star(7); + x_star[0] = 0; x_star[1] = 0; x_star[2] = 0; + x_star[3] = 3; x_star[4] = 2; x_star[5] = 4; x_star[6] = 2; + + std::vector basis(4); + basis[0] = 3; basis[1] = 4; basis[2] = 5; basis[3] = 6; + + std::vector b; + b.push_back(3); + b.push_back(2); + b.push_back(4); + b.push_back(2); + + std::vector costs(7); + costs[0] = 5; + costs[1] = 5; + costs[2] = 3; + costs[3] = 0; + costs[4] = 0; + costs[5] = 0; + costs[6] = 0; + + + + std::vector column_types(7, low_bound); + std::vector upper_bound_values; + + std::cout << "calling lp\n"; + lp_settings settings; + auto cn = default_column_names(m.column_count()); + + lp_primal_core_solver lpsolver(m, b, + x_star, + basis, + costs, + column_types, upper_bound_values, settings, cn); + + lpsolver.solve(); +} + + +void test_lp_primal_core_solver() { + test_lp_0(); + test_lp_1(); +} +#ifndef NDEBUG +template +void test_swap_rows_with_permutation(sparse_matrix& m){ + cout << "testing swaps" << endl; + unsigned dim = m.row_count(); + dense_matrix original(m); + permutation_matrix q(dim); + print_matrix(m); + lean_assert(original == q * m); + for (int i = 0; i < 100; i++) { + unsigned row1 = lrand48() % dim; + unsigned row2 = lrand48() % dim; + if (row1 == row2) continue; + cout << "swap " << row1 << " " << row2 << endl; + m.swap_rows(row1, row2); + q.transpose_from_left(row1, row2); + lean_assert(original == q * m); + print_matrix(m); + cout << endl; + } +} +#endif +template +void fill_matrix(sparse_matrix& m); // forward definition +#ifndef NDEBUG +void matrix_repro_test() { + unsigned dim = 10; + sparse_matrix m(dim); + fill_matrix(m); + for (int i = 0; i < 100; i++) { + unsigned row1 = lrand48() % dim; + unsigned row2 = lrand48() % dim; + if (row1 == row2) continue; + m.swap_rows(row1, row2); + } + + for (int i = 0; i < 100; i++) { + unsigned col1 = lrand48() % dim; + unsigned col2 = lrand48() % dim; + if (col1 == col2) continue; + m.swap_columns(col1, col2); + } + + dense_matrix d(m); + for (unsigned i = 0; i < d.row_count(); i++) + for (unsigned j = 0; j < d.column_count(); j++) + d.set_elem(i, j, m.get_not_adjusted(i, j)); + + auto l = d * m.m_column_permutation; + l = m.m_row_permutation * l; + cout << "matrix_repro_test" << endl; + print_matrix(l); + lean_assert(l == m); +} + +template +void test_swap_cols_with_permutation(sparse_matrix& m){ + cout << "testing swaps" << endl; + unsigned dim = m.row_count(); + dense_matrix original(m); + permutation_matrix q(dim); + print_matrix(m); + lean_assert(original == q * m); + for (int i = 0; i < 100; i++) { + unsigned row1 = lrand48() % dim; + unsigned row2 = lrand48() % dim; + if (row1 == row2) continue; + cout << "swap " << row1 << " " << row2 << endl; + m.swap_rows(row1, row2); + q.transpose_from_right(row1, row2); + lean_assert(original == q * m); + print_matrix(m); + cout << endl; + } +} + + +template +void test_swap_rows(sparse_matrix& m, unsigned i0, unsigned i1){ + std::cout << "test_swap_rows(" << i0 << "," << i1 << ")" << std::endl; + sparse_matrix mcopy(m.dimension()); + for (unsigned i = 0; i < m.dimension(); i++) + for (unsigned j = 0; j < m.dimension(); j++) { + mcopy(i, j)= m(i, j); + } + std::cout << "swapping rows "<< i0 << "," << i1 << std::endl; + m.swap_rows(i0, i1); + + for (unsigned j = 0; j < m.dimension(); j++) { + lean_assert(mcopy(i0, j) == m(i1, j)); + lean_assert(mcopy(i1, j) == m(i0, j)); + } +} +template +void test_swap_columns(sparse_matrix& m, unsigned i0, unsigned i1){ + std::cout << "test_swap_columns(" << i0 << "," << i1 << ")" << std::endl; + sparse_matrix mcopy(m.dimension()); + for (unsigned i = 0; i < m.dimension(); i++) + for (unsigned j = 0; j < m.dimension(); j++) { + mcopy(i, j)= m(i, j); + } + m.swap_columns(i0, i1); + + for (unsigned j = 0; j < m.dimension(); j++) { + lean_assert(mcopy(j, i0) == m(j, i1)); + lean_assert(mcopy(j, i1) == m(j, i0)); + } + + for (unsigned i = 0; i < m.dimension(); i++) { + if (i == i0 || i == i1) + continue; + for (unsigned j = 0; j < m.dimension(); j++) { + lean_assert(mcopy(j, i)== m(j, i)); + } + } +} +#endif + +template +void fill_matrix(sparse_matrix& m){ + int v = 0; + for (int i = m.dimension() - 1; i >= 0; i--) { + for (int j = m.dimension() - 1; j >=0; j--){ + m(i, j) = v++; + } + } +} + +void test_pivot_like_swaps_and_pivot(){ + sparse_matrix m(10); + fill_matrix(m); + // print_matrix(m); +// pivot at 2,7 + m.swap_columns(0, 7); + // print_matrix(m); + m.swap_rows(2, 0); + // print_matrix(m); + for (unsigned i = 1; i < m.dimension(); i++) { + m(i, 0) = 0; + } + // print_matrix(m); + +// say pivot at 3,4 + m.swap_columns(1, 4); + // print_matrix(m); + m.swap_rows(1, 3); + // print_matrix(m); + + vector row; + float alpha = 2.33; + unsigned pivot_row = 1; + unsigned target_row = 2; + unsigned pivot_row_0 = 3; + float beta = 3.1; + m(target_row, 3) = 0; + m(target_row, 5) = 0; + m(pivot_row, 6) = 0; +#ifndef NDEBUG + print_matrix(m); +#endif + + for (unsigned j = 0; j < m.dimension(); j++) { + row.push_back(m(target_row, j) + alpha * m(pivot_row, j) + beta * m(pivot_row_0, j)); + } + + for (auto & t : row) { + cout << t << ","; + } + cout << endl; + lp_settings settings; + m.pivot_row_to_row(pivot_row, alpha, target_row, settings); + m.pivot_row_to_row(pivot_row_0, beta, target_row, settings); + // print_matrix(m); + for (unsigned j = 0; j < m.dimension(); j++) { + lean_assert(abs(row[j] - m(target_row, j)) < 0.00000001); + } +} + +#ifndef NDEBUG +void test_swap_rows() { + sparse_matrix m(10); + fill_matrix(m); + // print_matrix(m); + test_swap_rows(m, 3, 5); + + test_swap_rows(m, 1, 3); + + + test_swap_rows(m, 1, 3); + + test_swap_rows(m, 1, 7); + + test_swap_rows(m, 3, 7); + + test_swap_rows(m, 0, 7); + + m(0, 4) = 1; + // print_matrix(m); + test_swap_rows(m, 0, 7); + +// go over some corner cases + sparse_matrix m0(2); + test_swap_rows(m0, 0, 1); + m0(0, 0) = 3; + test_swap_rows(m0, 0, 1); + m0(1, 0) = 3; + test_swap_rows(m0, 0, 1); + + + sparse_matrix m1(10); + test_swap_rows(m1, 0, 1); + m1(0, 0) = 3; + test_swap_rows(m1, 0, 1); + m1(1, 0) = 3; + m1(0, 3) = 5; + m1(1, 3) = 4; + m1(1, 8) = 8; + m1(1, 9) = 8; + + test_swap_rows(m1, 0, 1); + + sparse_matrix m2(3); + test_swap_rows(m2, 0, 1); + m2(0, 0) = 3; + test_swap_rows(m2, 0, 1); + m2(2, 0) = 3; + test_swap_rows(m2, 0, 2); +} + +void fill_uniformly(sparse_matrix & m, unsigned dim) { + int v = 0; + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + m(i, j) = v++; + } + } +} + +void fill_uniformly(dense_matrix & m, unsigned dim) { + int v = 0; + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + m.set_elem(i, j, v++); + } + } +} + +void sparse_matrix_with_permutaions_test() { + unsigned dim = 4; + sparse_matrix m(dim); + fill_uniformly(m, dim); + dense_matrix dm(dim, dim); + fill_uniformly(dm, dim); + dense_matrix dm0(dim, dim); + fill_uniformly(dm0, dim); + permutation_matrix q0(dim); + q0[0] = 1; + q0[1] = 0; + q0[2] = 3; + q0[3] = 2; + permutation_matrix q1(dim); + q1[0] = 1; + q1[1] = 2; + q1[2] = 3; + q1[3] = 0; + permutation_matrix p0(dim); + p0[0] = 1; + p0[1] = 0; + p0[2] = 3; + p0[3] = 2; + permutation_matrix p1(dim); + p1[0] = 1; + p1[1] = 2; + p1[2] = 3; + p1[3] = 0; + + m.multiply_from_left(q0); + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + lean_assert(m(i, j) == dm0.get_elem(q0[i], j)); + } + } + + auto q0_dm = q0 * dm; + lean_assert(m == q0_dm); + + m.multiply_from_left(q1); + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + lean_assert(m(i, j) == dm0.get_elem(q0[q1[i]], j)); + } + } + + + auto q1_q0_dm = q1 * q0_dm; + + lean_assert(m == q1_q0_dm); + + m.multiply_from_right(p0); + + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + lean_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p0[j])); + } + } + + auto q1_q0_dm_p0 = q1_q0_dm * p0; + + lean_assert(m == q1_q0_dm_p0); + + m.multiply_from_right(p1); + + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + lean_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p1[p0[j]])); + } + } + + auto q1_q0_dm_p0_p1 = q1_q0_dm_p0 * p1; + lean_assert(m == q1_q0_dm_p0_p1); + + m.multiply_from_right(p1); + for (unsigned i = 0; i < dim; i++) { + for (unsigned j = 0; j < dim; j++) { + lean_assert(m(i, j) == dm0.get_elem(q0[q1[i]], p1[p1[p0[j]]])); + } + } + auto q1_q0_dm_p0_p1_p1 = q1_q0_dm_p0_p1 * p1; + + lean_assert(m == q1_q0_dm_p0_p1_p1); +} + +void test_swap_columns() { + sparse_matrix m(10); + fill_matrix(m); + // print_matrix(m); + + test_swap_columns(m, 3, 5); + + test_swap_columns(m, 1, 3); + + test_swap_columns(m, 1, 3); + + // print_matrix(m); + test_swap_columns(m, 1, 7); + + test_swap_columns(m, 3, 7); + + test_swap_columns(m, 0, 7); + + test_swap_columns(m, 0, 7); + +// go over some corner cases + sparse_matrix m0(2); + test_swap_columns(m0, 0, 1); + m0(0, 0) = 3; + test_swap_columns(m0, 0, 1); + m0(0, 1) = 3; + test_swap_columns(m0, 0, 1); + + + sparse_matrix m1(10); + test_swap_columns(m1, 0, 1); + m1(0, 0) = 3; + test_swap_columns(m1, 0, 1); + m1(0, 1) = 3; + m1(3, 0) = 5; + m1(3, 1) = 4; + m1(8, 1) = 8; + m1(9, 1) = 8; + + test_swap_columns(m1, 0, 1); + + sparse_matrix m2(3); + test_swap_columns(m2, 0, 1); + m2(0, 0) = 3; + test_swap_columns(m2, 0, 1); + m2(0, 2) = 3; + test_swap_columns(m2, 0, 2); +} + + + +void test_swap_operations() { + test_swap_rows(); + test_swap_columns(); +} +#endif +#ifndef NDEBUG +void test_dense_matrix() { + dense_matrix d(3, 2); + d.set_elem(0, 0, 1); + d.set_elem(1, 1, 2); + d.set_elem(2, 0, 3); + // print_matrix(d); + + dense_matrix unit(2, 2); + d.set_elem(0, 0, 1); + d.set_elem(1, 1, 1); + + dense_matrix c = d * unit; + + // print_matrix(d); + + dense_matrix perm(3, 3); + perm.set_elem(0, 1, 1); + perm.set_elem(1, 0, 1); + perm.set_elem(2, 2, 1); + auto c1 = perm * d; + // print_matrix(c1); + + + dense_matrix p2(2, 2); + p2.set_elem(0, 1, 1); + p2.set_elem(1, 0, 1); + auto c2 = d * p2; +} + +void test_conjugate_eta_matrix() { + permutation_matrix p(5); + p[0] = 3; p[1] = 2; p[2] = 1; p[3] = 4; + p[4] = 0; + + cout << "p="; p.print(); +#ifndef NDEBUG + eta_matrix l(2, 5); +#else + eta_matrix l(2); +#endif + for (unsigned i = 3; i <= 4; i++) + l.push_back(i, i+2); // i+2 for the value + + l.set_diagonal_element(10); + + cout << "l" << endl; + print_matrix(l); + dense_matrix lcopy(l); + + l.conjugate_by_permutation(p); + + permutation_matrix pr = p.get_inverse(); + + auto conj = lcopy * pr; + cout << "U*pr" << endl; + print_matrix(conj); + conj = p * conj; + cout << "conj " << endl; + print_matrix(conj); + cout << "l" << endl; + print_matrix(l); + lean_assert(conj == l); +} + +void test_conjugate0() { + permutation_matrix p(5); + p[0] = 3; p[1] = 2; p[2] = 1; p[3] = 4; + p[4] = 0; + + one_off_diagonal_matrix one_off(1, 4, 2, 3); + one_off.set_number_of_rows(5); + one_off.set_number_of_columns(5); + one_off_diagonal_matrix one_off_copy(1, 4, 2, 3); + one_off_copy.set_number_of_rows(5); + one_off_copy.set_number_of_columns(5); + one_off.conjugate_by_permutation(p); + + permutation_matrix pr = p.get_inverse(); + + auto conj = one_off_copy * (pr); + conj = p * conj; + lean_assert(conj == one_off); +} + +void test_conjugate_perm(){ + permutation_matrix p(5); + p[0] = 1; p[1] = 2; p[2] = 3; p[3] = 4; + p[4] = 0; + + one_off_diagonal_matrix one_off(1, 3, 2, 3); + one_off.set_number_of_rows(5); + one_off.set_number_of_columns(5); + one_off_diagonal_matrix one_off_copy(1, 3, 2, 3); + one_off_copy.set_number_of_rows(5); + one_off_copy.set_number_of_columns(5); + one_off.conjugate_by_permutation(p); + + permutation_matrix pr = p.get_inverse(); + + auto conj = one_off_copy * pr; + conj = p * conj; + lean_assert(conj == one_off); + test_conjugate0(); +} + +void test_conjugate() { + permutation_matrix p(5); + p[0] = 1; p[1] = 2; p[2] = 3; p[3] = 4; + p[4] = 0; + + one_off_diagonal_matrix one_off(1, 3, 2, 3); + one_off.set_number_of_rows(5); + one_off.set_number_of_columns(5); + one_off_diagonal_matrix one_off_copy(1, 3, 2, 3); + one_off_copy.set_number_of_rows(5); + one_off_copy.set_number_of_columns(5); + one_off.conjugate_by_permutation(p); + + permutation_matrix pr = p.get_inverse(); + + auto conj = one_off_copy * pr; + conj = p * conj; + lean_assert(conj == one_off); + test_conjugate0(); +} +#endif + +std::vector> vector_of_permutaions() { + std::vector> ret; + { + permutation_matrix p0(5); + p0[0] = 1; p0[1] = 2; p0[2] = 3; p0[3] = 4; + p0[4] = 0; + ret.push_back(p0); + } + { + permutation_matrix p0(5); + p0[0] = 2; p0[1] = 0; p0[2] = 1; p0[3] = 4; + p0[4] = 3; + ret.push_back(p0); + } + return ret; +} + +void test_apply_reverse_from_right_to_perm(permutation_matrix & l) { + permutation_matrix p(5); + p[0] = 4; p[1] = 2; p[2] = 0; p[3] = 3; + p[4] = 1; + + permutation_matrix pclone(5); + pclone[0] = 4; pclone[1] = 2; pclone[2] = 0; pclone[3] = 3; + pclone[4] = 1; + + p.multiply_by_reverse_from_right(l); +#ifndef NDEBUG + auto rev = l.get_inverse(); + auto rs = pclone * rev; + lean_assert(p == rs) +#endif +} + +void test_apply_reverse_from_right() { + auto vec = vector_of_permutaions(); + for (unsigned i = 0; i < vec.size(); i++) { + test_apply_reverse_from_right_to_perm(vec[i]); + } +} + +void test_permutations() { + test_apply_reverse_from_right(); +} + +#ifndef NDEBUG +void test_perm_apply_reverse_from_right() { + permutation_generator allp(5); + vector w(6); + for (int i = 0; i < 5; i ++) { + w[i] = i; + } + + while (allp.move_next()){ + allp.current()->apply_reverse_from_right(w); + } +} +#endif +void lp_solver_test() { + // lp_revised_solver lp_revised; + // lp_revised.get_minimal_solution(); +} + +bool get_int_from_args_parser(const char * option, argument_parser & args_parser, unsigned & n) { + string s = args_parser.get_option_value(option); + if (s.size() > 0) { + n = atoi(s.c_str()); + return true; + } + return false; +} + +bool get_double_from_args_parser(const char * option, argument_parser & args_parser, double & n) { + string s = args_parser.get_option_value(option); + if (s.size() > 0) { + n = atof(s.c_str()); + return true; + } + return false; +} + + +void update_settings(argument_parser & args_parser, lp_settings& settings) { + unsigned n; + if (get_int_from_args_parser("--rep_frq", args_parser, n)) + settings.report_frequency = n; + + if (get_int_from_args_parser("--percent_for_enter", args_parser, n)) + settings.percent_of_entering_to_check = n; + if (get_int_from_args_parser("--partial_pivot", args_parser, n)) { + cout << "setting partial pivot constant to " << n << endl; + settings.c_partial_pivoting = n; + } + if (get_int_from_args_parser("--density", args_parser, n)) { + double density = static_cast(n) / 100.0; + cout << "setting density to " << density << endl; + settings.density_threshold = density; + } + if (get_int_from_args_parser("--maxng", args_parser, n)) + settings.max_number_of_iterations_with_no_improvements = n; + double d; + if (get_double_from_args_parser("--harris_toler", args_parser, d)) { + cout << "setting harris_feasibility_tolerance to " << d << endl; + settings.harris_feasibility_tolerance = d; + } +} + + +void setup_solver(unsigned max_iterations, unsigned time_limit, bool look_for_min, argument_parser & args_parser, lp_solver * solver) { + if (max_iterations > 0) + solver->set_max_iterations_per_stage(max_iterations); + + if (time_limit > 0) + solver->set_time_limit(time_limit); + + if (look_for_min) + solver->flip_costs(); + + update_settings(args_parser, solver->settings()); +} + +bool values_are_one_percent_close(double a, double b); + +void print_x(mps_reader & reader, lp_solver * solver) { + for (auto name : reader.column_names()) { + std::cout << name << "=" << solver->get_column_value_by_name(name) << ' '; + } + cout << endl; +} + +void compare_solutions(mps_reader & reader, lp_solver * solver, lp_solver * solver0) { + for (auto name : reader.column_names()) { + double a = solver->get_column_value_by_name(name); + double b = solver0->get_column_value_by_name(name); + if (!values_are_one_percent_close(a, b)) { + cout << "different values for " << name << ":" << a << " and " << b << endl; + } + } +} + + +void solve_mps_double(std::string file_name, bool look_for_min, unsigned max_iterations, unsigned time_limit, bool dual, bool compare_with_primal, argument_parser & args_parser) { + mps_reader reader(file_name); + reader.read(); + if (!reader.is_ok()) { + std::cout << "cannot process " << file_name << std::endl; + return; + } + lp_solver * solver = reader.create_solver(dual); + setup_solver(max_iterations, time_limit, look_for_min, args_parser, solver); + int begin = get_millisecond_count(); + if (dual) { + cout << "solving for dual" << endl; + } + solver->find_maximal_solution(); + int span = get_millisecond_span(begin); + std::cout << "Status: " << lp_status_to_string(solver->get_status()) << std::endl; + if (solver->get_status() == lp_status::OPTIMAL) { + if (reader.column_names().size() < 20) { + print_x(reader, solver); + } + double cost = solver->get_current_cost(); + if (look_for_min) { + cost = -cost; + } + std::cout << "cost = " << cost << std::endl; + } + cout << "processed in " << span / 1000.0 << " seconds, running for " << solver->m_total_iterations << " iterations" << endl; + if (compare_with_primal) { + auto * primal_solver = reader.create_solver(false); + setup_solver(max_iterations, time_limit, look_for_min, args_parser, primal_solver); + primal_solver->find_maximal_solution(); + if (solver->get_status() != primal_solver->get_status()) { + cout << "statuses are different: dual " << lp_status_to_string(solver->get_status()) << " primal = " << lp_status_to_string(primal_solver->get_status()) << endl; + } else { + if (solver->get_status() == lp_status::OPTIMAL) { + double cost = solver->get_current_cost(); + if (look_for_min) { + cost = -cost; + } + double primal_cost = primal_solver->get_current_cost(); + if (look_for_min) { + primal_cost = -primal_cost; + } + cout << "primal cost = " << primal_cost << endl; + if (!values_are_one_percent_close(cost, primal_cost)) { + compare_solutions(reader, primal_solver, solver); + print_x(reader, primal_solver); + cout << "dual cost is " << cost << ", but primal cost is " << primal_cost << endl; + lean_assert(false); + } + } + } + delete primal_solver; + } + delete solver; +} + +void solve_mps_rational(std::string file_name, bool look_for_min, unsigned max_iterations, unsigned time_limit, bool dual, argument_parser & /*args_parser*/) { + mps_reader reader(file_name); + reader.read(); + if (reader.is_ok()) { + auto * solver = reader.create_solver(dual); + if (look_for_min) { + solver->flip_costs(); + } + int begin = get_millisecond_count(); + if (max_iterations > 0) { + solver->set_max_iterations_per_stage(max_iterations); + } + + if (time_limit > 0) { + solver->set_time_limit(time_limit); + } + solver->find_maximal_solution(); + std::cout << "Status: " << lp_status_to_string(solver->get_status()) << std::endl; + + if (solver->get_status() == lp_status::OPTIMAL) { + // for (auto name: reader.column_names()) { + // std::cout << name << "=" << solver->get_column_value_by_name(name) << ' '; + // } + mpq cost = solver->get_current_cost(); + if (look_for_min) { + cost = -cost; + } + std::cout << "cost = " << cost.get_double() << std::endl; + } + cout << "processed in " << get_millisecond_span(begin) / 1000.0 << " seconds, running for " << solver->m_total_iterations << " iterations" << endl; + delete solver; + } else { + std::cout << "cannot process " << file_name << std::endl; + } +} +void get_time_limit_and_max_iters_from_parser(argument_parser & args_parser, unsigned & time_limit, unsigned & max_iters); // forward definition + +void solve_mps(std::string file_name, bool look_for_min, unsigned max_iterations, unsigned time_limit, bool solve_for_rational, bool dual, bool compare_with_primal, argument_parser & args_parser) { + if (!solve_for_rational) { + std::cout << "solving " << file_name << std::endl; + solve_mps_double(file_name, look_for_min, max_iterations, time_limit, dual, compare_with_primal, args_parser); + } else { + std::cout << "solving " << file_name << " in rationals " << std::endl; + solve_mps_rational(file_name, look_for_min, max_iterations, time_limit, dual, args_parser); + } +} + +void solve_mps(string file_name, argument_parser & args_parser) { + bool look_for_min = args_parser.option_is_used("--min"); + unsigned max_iterations, time_limit; + bool solve_for_rational = args_parser.option_is_used("--mpq"); + bool dual = args_parser.option_is_used("--dual"); + bool compare_with_primal = args_parser.option_is_used("--compare_with_primal"); + get_time_limit_and_max_iters_from_parser(args_parser, time_limit, max_iterations); + solve_mps(file_name, look_for_min, max_iterations, time_limit, solve_for_rational, dual, compare_with_primal, args_parser); +} + +void solve_mps_in_rational(std::string file_name, bool dual, argument_parser & /*args_parser*/) { + std::cout << "solving " << file_name << std::endl; + + mps_reader reader(file_name); + reader.read(); + if (reader.is_ok()) { + auto * solver = reader.create_solver(dual); + solver->find_maximal_solution(); + std::cout << "status is " << lp_status_to_string(solver->get_status()) << std::endl; + if (solver->get_status() == lp_status::OPTIMAL) { + if (reader.column_names().size() < 20) { + for (auto name : reader.column_names()) { + std::cout << name << "=" << solver->get_column_value_by_name(name).get_double() << ' '; + } + } + std::cout << std::endl << "cost = " << numeric_traits::get_double(solver->get_current_cost()) << std::endl; + } + delete solver; + } else { + std::cout << "cannot process " << file_name << std::endl; + } +} + +void test_upair_queue() { + int n = 10; + binary_heap_upair_queue q(2); + unordered_map m; + for (int k = 0; k < 100; k++) { + int i = lrand48()%n; + int j = lrand48()%n; + q.enqueue(i, j, lrand48()%n); + } + + q.remove(5, 5); + + while (!q.is_empty()) { + unsigned i, j; + q.dequeue(i, j); + } +} + +void test_binary_priority_queue() { + cout << "testing binary_heap_priority_queue..."; + auto q = binary_heap_priority_queue(10); + q.enqueue(2, 2); + q.enqueue(1, 1); + q.enqueue(9, 9); + q.enqueue(8, 8); + q.enqueue(5, 25); + q.enqueue(3, 3); + q.enqueue(4, 4); + q.enqueue(7, 30); + q.enqueue(6, 6); + q.enqueue(0, 0); + q.enqueue(5, 5); + q.enqueue(7, 7); + + for (unsigned i = 0; i < 10; i++) { + unsigned de = q.dequeue(); + lean_assert(i == de); + cout << de << endl; + } + q.enqueue(2, 2); + q.enqueue(1, 1); + q.enqueue(9, 9); + q.enqueue(8, 8); + q.enqueue(5, 5); + q.enqueue(3, 3); + q.enqueue(4, 4); + q.enqueue(7, 2); + q.enqueue(0, 1); + q.enqueue(6, 6); + q.enqueue(7, 7); + q.enqueue(33, 1000); + q.enqueue(20, 0); + q.dequeue(); + q.remove(33); + q.enqueue(0, 0); +#ifndef NDEBUG + unsigned t = 0; +#endif + while (q.size() > 0) { + unsigned d =q.dequeue(); + lean_assert(t++ == d); + cout << d << endl; + } + + test_upair_queue(); + cout << " done" << endl; +} + +bool solution_is_feasible(std::string file_name, const std::unordered_map & solution) { + mps_reader reader(file_name); + reader.read(); + if (reader.is_ok()) { + lp_primal_simplex * solver = static_cast *>(reader.create_solver(false)); + return solver->solution_is_feasible(solution); + } + return false; +} + + +void solve_mps_with_known_solution(std::string file_name, std::unordered_map * solution, lp_status status, bool dual) { + std::cout << "solving " << file_name << std::endl; + mps_reader reader(file_name); + reader.read(); + if (reader.is_ok()) { + auto * solver = reader.create_solver(dual); + solver->find_maximal_solution(); + std::cout << "status is " << lp_status_to_string(solver->get_status()) << std::endl; + if (status != solver->get_status()){ + cout << "status should be " << lp_status_to_string(status) << endl; + lean_assert(status == solver->get_status()); + throw "status is wrong"; + } + if (solver->get_status() == lp_status::OPTIMAL) { + std::cout << "cost = " << solver->get_current_cost() << std::endl; + if (solution != nullptr) { + for (auto it : *solution) { + if (fabs(it.second - solver->get_column_value_by_name(it.first)) >= 0.000001) { + std::cout << "expected:" << it.first << "=" << + it.second <<", got " << solver->get_column_value_by_name(it.first) << std::endl; + } + lean_assert(fabs(it.second - solver->get_column_value_by_name(it.first)) < 0.000001); + } + } + if (reader.column_names().size() < 20) { + for (auto name : reader.column_names()) { + std::cout << name << "=" << solver->get_column_value_by_name(name) << ' '; + } + cout << endl; + } + } + delete solver; + } else { + std::cout << "cannot process " << file_name << std::endl; + } +} + +int get_random_rows() { + return 5 + rand_r(& seed) % 2; +} + +int get_random_columns() { + return 5 + rand_r(& seed) % 3; +} + +int get_random_int() { + return -1 + rand_r(& seed) % 2; // (1.0 + RAND_MAX); +} + +void add_random_row(lp_primal_simplex * solver, int cols, int row) { + solver->add_constraint(lp_relation::Greater_or_equal, 1, row); + for (int i = 0; i < cols; i++) { + solver->set_row_column_coefficient(row, i, get_random_int()); + } +} + +void add_random_cost(lp_primal_simplex * solver, int cols) { + for (int i = 0; i < cols; i++) { + solver->set_cost_for_column(i, get_random_int()); + } +} + +lp_primal_simplex * generate_random_solver() { + int rows = get_random_rows(); + int cols = get_random_columns(); + auto * solver = new lp_primal_simplex(); + for (int i = 0; i < rows; i++) { + add_random_row(solver, cols, i); + } + add_random_cost(solver, cols); + return solver; +} + + + +void random_test_on_i(unsigned i) { + if (i % 1000 == 0) { + cout << "."; + } + srand(i); + auto *solver = generate_random_solver(); + solver->find_maximal_solution(); + // cout << lp_status_to_string(solver->get_status()) << endl; + delete solver; +} + +void random_test() { + for (unsigned i = 0; i < UINT_MAX; i++) { + try { + random_test_on_i(i); + } + catch (const char * error) { + cout << "i = " << i << ", throwing at ' " << error << "'" << endl; + break; + } + } +} + + +void fill_file_names(std::vector &file_names, std::set & minimums) { + char *home_dir = getenv("HOME"); + if (home_dir == nullptr) { + cout << "cannot find home directory, don't know how to find the files"; + return; + } + string home_dir_str(home_dir); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l0redund.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l1.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l2.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l3.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l4.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l4fix.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/plan.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/samp2.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/murtagh.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/l0.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/AFIRO.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SC50B.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SC50A.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/KB2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SC105.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STOCFOR1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/ADLITTLE.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BLEND.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCAGR7.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SC205.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHARE2B.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/RECIPELP.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/LOTFI.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/VTP-BASE.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHARE1B.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BOEING2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BORE3D.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCORPION.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/CAPRI.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BRANDY.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCAGR25.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCTAP1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/ISRAEL.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCFXM1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BANDM.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/E226.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/AGG.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GROW7.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/ETAMACRO.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FINNIS.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCSD1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STANDATA.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STANDGUB.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BEACONFD.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STAIR.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STANDMPS.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GFRD-PNC.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCRS8.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BOEING1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/MODSZK1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/DEGEN2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FORPLAN.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/AGG2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/AGG3.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCFXM2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHELL.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOT4.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCSD6.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP04S.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SEBA.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GROW15.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FFFFF800.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BNL1.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PEROLD.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/QAP8.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCFXM3.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP04L.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GANGES.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCTAP2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GROW22.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP08S.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOT-WE.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/MAROS.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STOCFOR2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/25FV47.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP12S.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCSD8.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FIT1P.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SCTAP3.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SIERRA.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOTNOV.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/CZPROB.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FIT1D.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOT-JA.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP08L.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/BNL2.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/NESM.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/CYCLE.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/acc-tight5.mps"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/SHIP12L.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/DEGEN3.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GREENBEA.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/GREENBEB.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/80BAU3B.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/TRUSS.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/D2Q06C.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/WOODW.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/QAP12.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/D6CUBE.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOT.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/DFL001.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/WOOD1P.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FIT2P.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/PILOT87.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/STOCFOR3.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/QAP15.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/FIT2D.SIF"); + file_names.push_back(home_dir_str + "/projects/lean/src/tests/util/lp/test_files/netlib/MAROS-R7.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/FIT2P.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/DFL001.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/D2Q06C.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/80BAU3B.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/GREENBEB.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/GREENBEA.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/BNL2.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/SHIP08L.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/FIT1D.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/SCTAP3.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/SCSD8.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/SCSD6.SIF"); + minimums.insert("/projects/lean/src/tests/util/lp/test_files/netlib/MAROS-R7.SIF"); +} + +void test_out_dir(string out_dir) { + DIR *out_dir_p = opendir(out_dir.c_str()); + if (out_dir_p == nullptr) { + cout << "creating directory " << out_dir << endl; + int res = mkdir(out_dir.c_str(), S_IRWXU | S_IRWXG | S_IROTH | S_IXOTH); + if (res) { + cout << "Cannot open output directory \"" << out_dir << "\"" << endl; + } + return; + } + closedir(out_dir_p); +} + +void find_dir_and_file_name(string a, string & dir, string& fn) { + // todo: make it system independent + size_t last_slash_pos = a.find_last_of("/"); + if (last_slash_pos >= a.size()) { + cout << "cannot find file name in " << a << endl; + throw; + } + dir = a.substr(0, last_slash_pos); + // cout << "dir = " << dir << endl; + fn = a.substr(last_slash_pos + 1); + // cout << "fn = " << fn << endl; +} + +void process_test_file(string test_dir, string test_file_name, argument_parser & args_parser, string out_dir, unsigned max_iters, unsigned time_limit, unsigned & successes, unsigned & failures, unsigned & inconclusives); + +void solve_some_mps(argument_parser & args_parser) { + unsigned max_iters, time_limit; + get_time_limit_and_max_iters_from_parser(args_parser, time_limit, max_iters); + unsigned successes = 0; + unsigned failures = 0; + unsigned inconclusives = 0; + std::set minimums; + std::vector file_names; + fill_file_names(file_names, minimums); + bool solve_for_rational = args_parser.option_is_used("--mpq"); + bool dual = args_parser.option_is_used("--dual"); + bool compare_with_primal = args_parser.option_is_used("--compare_with_primal"); + bool compare_with_glpk = args_parser.option_is_used("--compare_with_glpk"); + if (compare_with_glpk) { + string out_dir = args_parser.get_option_value("--out_dir"); + if (out_dir.size() == 0) { + out_dir = "/tmp/test"; + } + test_out_dir(out_dir); + for (auto& a : file_names) { + try { + string file_dir; + string file_name; + find_dir_and_file_name(a, file_dir, file_name); + process_test_file(file_dir, file_name, args_parser, out_dir, max_iters, time_limit, successes, failures, inconclusives); + } + catch(const char *s){ + std::cout<< "exception: "<< s << std::endl; + } + } + cout << "comparing with glpk: successes " << successes << ", failures " << failures << ", inconclusives " << inconclusives << endl; + return; + } + if (!solve_for_rational) { + solve_mps(file_names[6], false, 0, time_limit, false, dual, compare_with_primal, args_parser); + solve_mps_with_known_solution(file_names[3], nullptr, INFEASIBLE, dual); // chvatal: 135(d) + std::unordered_map sol; + sol["X1"] = 0; + sol["X2"] = 6; + sol["X3"] = 0; + sol["X4"] = 15; + sol["X5"] = 2; + sol["X6"] = 1; + sol["X7"] = 1; + sol["X8"] = 0; + solve_mps_with_known_solution(file_names[9], &sol, OPTIMAL, dual); + solve_mps_with_known_solution(file_names[0], &sol, OPTIMAL, dual); + sol.clear(); + sol["X1"] = 25.0/14.0; + // sol["X2"] = 0; + // sol["X3"] = 0; + // sol["X4"] = 0; + // sol["X5"] = 0; + // sol["X6"] = 0; + // sol["X7"] = 9.0/14.0; + solve_mps_with_known_solution(file_names[5], &sol, OPTIMAL, dual); // chvatal: 135(e) + solve_mps_with_known_solution(file_names[4], &sol, OPTIMAL, dual); // chvatal: 135(e) + solve_mps_with_known_solution(file_names[2], nullptr, UNBOUNDED, dual); // chvatal: 135(c) + solve_mps_with_known_solution(file_names[1], nullptr, UNBOUNDED, dual); // chvatal: 135(b) + solve_mps(file_names[8], false, 0, time_limit, false, dual, compare_with_primal, args_parser); + // return; + for (auto& s : file_names) { + try { + solve_mps(s, minimums.find(s) != minimums.end(), max_iters, time_limit, false, dual, compare_with_primal, args_parser); + } + catch(const char *s){ + std::cout<< "exception: "<< s << std::endl; + } + } + } else { + unsigned i = 0; + for (auto& s : file_names) { + if (i++ > 9) return; + try { + solve_mps_in_rational(s, dual, args_parser); + } + catch(const char *s){ + std::cout<< "exception: "<< s << std::endl; + } + } + } +} + +void solve_rational() { + lp_primal_simplex solver; + solver.add_constraint(lp_relation::Equal, mpq(7), 0); + solver.add_constraint(lp_relation::Equal, mpq(-3), 1); + + // setting the cost + std::array cost = {{-3, -1, -1, 2, -1, 1, 1, -4}}; + std::array var_names={{"x1", "x2", "x3", "x4", "x5", "x6", "x7", "x8"}}; + + for (unsigned i = 0; i < 8; i++) { + solver.set_cost_for_column(i, mpq(cost[i])); + solver.give_symbolic_name_to_column(var_names[i], i); + } + + std::array row0 = {{1, 0, 3, 1, -5, -2 , 4, -6}}; + for (unsigned i = 0; i < 8; i++) { + solver.set_row_column_coefficient(0, i, mpq(row0[i])); + } + + std::array row1 = {{0, 1, -2, -1, 4, 1, -3, 5}}; + for (unsigned i = 0; i < 8; i++) { + solver.set_row_column_coefficient(1, i, mpq(row1[i])); + } + + std::array bounds = {{8, 6, 4, 15, 2, 10, 10, 3}}; + for (unsigned i = 0; i < 8; i++) { + solver.set_low_bound(i, mpq(0)); + solver.set_upper_bound(i, mpq(bounds[i])); + } + + std::unordered_map expected_sol; + expected_sol["x1"] = mpq(0); + expected_sol["x2"] = mpq(6); + expected_sol["x3"] = mpq(0); + expected_sol["x4"] = mpq(15); + expected_sol["x5"] = mpq(2); + expected_sol["x6"] = mpq(1); + expected_sol["x7"] = mpq(1); + expected_sol["x8"] = mpq(0); + solver.find_maximal_solution(); + lean_assert(solver.get_status() == OPTIMAL); + for (auto it : expected_sol) { + lean_assert(it.second == solver.get_column_value_by_name(it.first)); + } +} + + +string read_line(bool & end, ifstream & file) { + string s; + if (!getline(file, s)) { + end = true; + return string(); + } + end = false; + return s; +} + +bool contains(string const & s, char const * pattern) { + return s.find(pattern) != string::npos; +} + + +unordered_map * get_solution_from_glpsol_output(string & file_name) { + ifstream file(file_name); + if (!file.is_open()){ + cerr << "cannot open " << file_name << endl; + return nullptr; + } + string s; + bool end; + do { + s = read_line(end, file); + if (end) { + cerr << "unexpected file end " << file_name << endl; + return nullptr; + } + if (contains(s, "Column name")){ + break; + } + } while (true); + + read_line(end, file); + if (end) { + cerr << "unexpected file end " << file_name << endl; + return nullptr; + } + + auto ret = new unordered_map(); + + do { + s = read_line(end, file); + if (end) { + cerr << "unexpected file end " << file_name << endl; + return nullptr; + } + auto split = string_split(s, " \t", false); + if (split.size() == 0) { + return ret; + } + + lean_assert(split.size() > 3); + (*ret)[split[1]] = atof(split[3].c_str()); + } while (true); +} + + + +void test_init_U() { + static_matrix m(3, 7); + m(0, 0) = 10; m(0, 1) = 11; m(0, 2) = 12; m(0, 3) = 13; m(0, 4) = 14; + m(1, 0) = 20; m(1, 1) = 21; m(1, 2) = 22; m(1, 3) = 23; m(1, 5) = 24; + m(2, 0) = 30; m(2, 1) = 31; m(2, 2) = 32; m(2, 3) = 33; m(2, 6) = 34; +#ifndef NDEBUG + print_matrix(m); +#endif + std::vector basis(3); + basis[0] = 1; + basis[1] = 2; + basis[2] = 4; + + sparse_matrix u(m, basis); + + for (unsigned i = 0; i < 3; i++) { + for (unsigned j = 0; j < 3; j ++) { + lean_assert(m(i, basis[j]) == u(i, j)); + } + } + + // print_matrix(m); + // print_matrix(u); +} + +void test_replace_column() { + sparse_matrix m(10); + fill_matrix(m); + m.swap_columns(0, 7); + m.swap_columns(6, 3); + m.swap_rows(2, 0); + for (unsigned i = 1; i < m.dimension(); i++) { + m(i, 0) = 0; + } + + indexed_vector w(m.dimension()); + for (unsigned i = 0; i < m.dimension(); i++) { + w.set_value(i % 3, i); + } + + lp_settings settings; + + for (unsigned column_to_replace = 0; column_to_replace < m.dimension(); column_to_replace ++) { + m.replace_column(column_to_replace, w, settings); + for (unsigned i = 0; i < m.dimension(); i++) { + lean_assert(abs(w[i] - m(i, column_to_replace)) < 0.00000001); + } + } +} + +void test_eta_matrix() { + sparse_matrix m(8); + fill_matrix(m); + lp_settings settings; + for (unsigned j = 0; j < m.dimension(); j++){ + eta_matrix * eta; + m.fill_eta_matrix(j, &eta); + m.prepare_for_factorization(); + + for (auto it = eta->get_sparse_vector_iterator(); !it.done(); it.move()) { + m.pivot_row_to_row(j, it.value(), it.index(), settings); + double de = eta->get_diagonal_element(); + m.divide_row_by_constant(j, de, settings); + } + delete eta; + } + + lean_assert(m.is_upper_triangular_and_maximums_are_set_correctly_in_rows(settings)); +} + + +void setup_args_parser(argument_parser & parser) { + parser.add_option_with_after_string_with_help("--density", "the percentage of non-zeroes in the matrix below which it is not dense"); + parser.add_option_with_after_string_with_help("--harris_toler", "harris tolerance"); + parser.add_option_with_help_string("--test_swaps", "test row swaps with a permutation"); + parser.add_option_with_after_string_with_help("--checklu", "the file name for lu checking"); + parser.add_option_with_after_string_with_help("--partial_pivot", "the partial pivot constant, a number somewhere between 10 and 100"); + parser.add_option_with_after_string_with_help("--percent_for_enter", "which percent of columns check for entering column"); + parser.add_option_with_help_string("--totalinf", "minimizes the total infeasibility instead of diminishin infeasibility of the rows"); + parser.add_option_with_after_string_with_help("--rep_frq", "the report frequency, in how many iterations print the cost and other info "); + parser.add_option_with_help_string("--smt", "smt file format"); + parser.add_option_with_after_string_with_help("--filelist", "the file containing the list of files"); + parser.add_option_with_after_string_with_help("--file", "the input file name"); + parser.add_option_with_help_string("--min", "will look for the minimum for the given file if --file is used; the default is looking for the max"); + parser.add_option_with_help_string("--max", "will look for the maximum for the given file if --file is used; it is the default behavior"); + parser.add_option_with_after_string_with_help("--max_iters", "maximum total iterations in a core solver stage"); + parser.add_option_with_after_string_with_help("--time_limit", "time limit in seconds"); + parser.add_option_with_help_string("--mpq", "solve for rational numbers"); + parser.add_option_with_help_string("--test_lu", "test the work of the factorization"); + parser.add_option_with_help_string("--test_larger_lu", "test the work of the factorization"); + parser.add_option_with_help_string("--test_larger_lu_with_holes", "test the work of the factorization"); + parser.add_option_with_help_string("--test_lp_0", "solve a small lp"); + parser.add_option_with_help_string("--solve_some_mps", "solves a list of mps problems"); + parser.add_option_with_after_string_with_help("--test_file_directory", "loads files from the directory for testing"); + parser.add_option_with_help_string("--compare_with_glpk", "compares the results by running glpsol"); + parser.add_option_with_after_string_with_help("--out_dir", "setting the output directory for tests, if not set /tmp is used"); + parser.add_option_with_help_string("--dual", "using the dual simplex solver"); + parser.add_option_with_help_string("--compare_with_primal", "using the primal simplex solver for comparison"); + parser.add_option_with_help_string("--lar", "test lar_solver"); + parser.add_option_with_after_string_with_help("--maxng", "max iterations without progress"); + parser.add_option_with_help_string("-tbq", "test binary queue"); +} + +void solve_test_flipped(bool dual) { + // solving a problem with a constraint xj <= c, a flipped constraint + char * home_dir = getenv("HOME"); + if (home_dir == nullptr) { + cout << "cannot find home directory" << endl; + return; + } + string file_name = string(home_dir) + "/projects/lean/src/tests/util/lp/l4.mps"; + mps_reader reader(file_name); + reader.read(); + + if (reader.is_ok()) { + auto * solver = reader.create_solver(dual); + solver->find_maximal_solution(); + lean_assert(solver->get_status() == OPTIMAL); + double x1_val = solver->get_column_value_by_name("X1"); + cout << "X1 = " << x1_val << endl; + mps_reader reader_(file_name); + reader_.read(); + auto solver_ = reader_.create_solver(dual); + int j = solver_ -> get_column_index_by_name("X1"); + lean_assert(j != -1) + solver_-> unset_low_bound(j); + solver_->set_upper_bound(j, x1_val + 1); + solver_->find_maximal_solution(); + cout << "new X1 = " << solver_->get_column_value_by_name("X1") << endl; + lean_assert(fabs(x1_val - solver_->get_column_value_by_name("X1")) < 1e-10); + delete solver; + delete solver_; + } +} + +template +void print_chunk(T * arr, unsigned len) { + for (unsigned i = 0; i < len; i++) { + cout << arr[i] << ", "; + } + cout << endl; +} + +struct mem_cpy_place_holder { + static void mem_copy_hook(int * destination, unsigned num) { + if (destination == nullptr || num == 0) { + throw "bad parameters"; + } + } +}; + +int finalize(unsigned ret) { + finalize_util_module(); + finalize_numerics_module(); + return ret; +} + +void get_time_limit_and_max_iters_from_parser(argument_parser & args_parser, unsigned & time_limit, unsigned & max_iters) { + string s = args_parser.get_option_value("--max_iters"); + if (s.size() > 0) { + max_iters = atoi(s.c_str()); + } else { + max_iters = 0; + } + + string time_limit_string = args_parser.get_option_value("--time_limit"); + if (time_limit_string.size() > 0) { + time_limit = atoi(time_limit_string.c_str()); + } else { + time_limit = 0; + } +} + + +string create_output_file_name(bool minimize, string file_name, bool mpq) { + string ret = file_name + "_lp_tst_" + (minimize?"min":"max"); + if (mpq) return ret + "_mpq.out"; + return ret + ".out"; +} + +string create_output_file_name_for_glpsol(bool minimize, string file_name){ + return file_name + (minimize?"_min":"_max") + "_glpk_out"; +} + +int run_glpk(string file_name, string glpk_out_file_name, bool minimize, unsigned time_limit) { + string minmax(minimize?"--min":"--max"); + string tmlim = time_limit > 0 ? string(" --tmlim ") + std::to_string(time_limit)+ " ":string(); + string command_line = string("glpsol --nointopt --nomip ") + minmax + tmlim + + " -o " + glpk_out_file_name +" " + file_name + " > /dev/null"; + return system(command_line.c_str()); +} + +string get_status(string file_name) { + std::ifstream f(file_name); + if (!f.is_open()) { + cout << "cannot open " << file_name << endl; + throw 0; + } + string str; + while (getline(f, str)) { + if (str.find("Status") != string::npos) { + vector tokens = split_and_trim(str); + if (tokens.size() != 2) { + cout << "unexpected Status string " << str << endl; + throw 0; + } + return tokens[1]; + } + } + cout << "cannot find the status line in " << file_name << endl; + throw 0; +} + +// returns true if the costs should be compared too +bool compare_statuses(string glpk_out_file_name, string lp_out_file_name, unsigned & successes, unsigned & failures) { + string glpk_status = get_status(glpk_out_file_name); + string lp_tst_status = get_status(lp_out_file_name); + + if (glpk_status != lp_tst_status) { + if (glpk_status == "UNDEFINED" && (lp_tst_status == "UNBOUNDED" || lp_tst_status == "INFEASIBLE")) { + successes++; + return false; + } else { + cout << "glpsol and lp_tst disagree: glpsol status is " << glpk_status; + cout << " but lp_tst status is " << lp_tst_status << endl; + failures++; + return false; + } + } + return lp_tst_status == "OPTIMAL"; +} + +double get_glpk_cost(string file_name) { + std::ifstream f(file_name); + if (!f.is_open()) { + cout << "cannot open " << file_name << endl; + throw 0; + } + string str; + while (getline(f, str)) { + if (str.find("Objective") != string::npos) { + vector tokens = split_and_trim(str); + if (tokens.size() != 5) { + cout << "unexpected Objective string " << str << endl; + throw 0; + } + return atof(tokens[3].c_str()); + } + } + cout << "cannot find the Objective line in " << file_name << endl; + throw 0; +} + +double get_lp_tst_cost(string file_name) { + std::ifstream f(file_name); + if (!f.is_open()) { + cout << "cannot open " << file_name << endl; + throw 0; + } + string str; + string cost_string; + while (getline(f, str)) { + if (str.find("cost") != string::npos) { + cost_string = str; + } + } + if (cost_string.size() == 0) { + cout << "cannot find the cost line in " << file_name << endl; + throw 0; + } + + vector tokens = split_and_trim(cost_string); + if (tokens.size() != 3) { + cout << "unexpected cost string " << cost_string << endl; + throw 0; + } + return atof(tokens[2].c_str()); +} + +bool values_are_one_percent_close(double a, double b) { + double maxval = std::max(fabs(a), fabs(b)); + if (maxval < 0.000001) { + return true; + } + + double one_percent = maxval / 100; + return fabs(a - b) <= one_percent; +} + +// returns true if both are optimal +void compare_costs(string glpk_out_file_name, + string lp_out_file_name, + unsigned & successes, + unsigned & failures) { + double a = get_glpk_cost(glpk_out_file_name); + double b = get_lp_tst_cost(lp_out_file_name); + + if (values_are_one_percent_close(a, b)) { + successes++; + } else { + failures++; + cout << "glpsol cost is " << a << " lp_tst cost is " << b << endl; + } +} + + + +void compare_with_glpk(string glpk_out_file_name, string lp_out_file_name, unsigned & successes, unsigned & failures, string lp_file_name) { + std::unordered_map * solution_table = get_solution_from_glpsol_output(glpk_out_file_name); + if (solution_is_feasible(lp_file_name, *solution_table)) { + cout << "glpk solution is feasible" << endl; + } else { + cout << "glpk solution is infeasible" << endl; + } + delete solution_table; + if (compare_statuses(glpk_out_file_name, lp_out_file_name, successes, failures)) { + compare_costs(glpk_out_file_name, lp_out_file_name, successes, failures); + } +} +void test_lar_on_file(string file_name, argument_parser & args_parser); + +void process_test_file(string test_dir, string test_file_name, argument_parser & args_parser, string out_dir, unsigned max_iters, unsigned time_limit, unsigned & successes, unsigned & failures, unsigned & inconclusives) { + bool use_mpq = args_parser.option_is_used("--mpq"); + bool minimize = args_parser.option_is_used("--min"); + string full_lp_tst_out_name = out_dir + "/" + create_output_file_name(minimize, test_file_name, use_mpq); + + string input_file_name = test_dir + "/" + test_file_name; + if (input_file_name[input_file_name.size() - 1] == '~') { + // cout << "ignoring " << input_file_name << endl; + return; + } + cout <<"processing " << input_file_name << endl; + + std::ofstream out(full_lp_tst_out_name); + if (!out.is_open()) { + cout << "cannot open file " << full_lp_tst_out_name << endl; + throw 0; + } + std::streambuf *coutbuf = std::cout.rdbuf(); // save old buffer + std::cout.rdbuf(out.rdbuf()); // redirect std::cout to dir_entry->d_name! + bool dual = args_parser.option_is_used("--dual"); + try { + if (args_parser.option_is_used("--lar")) + test_lar_on_file(input_file_name, args_parser); + else + solve_mps(input_file_name, minimize, max_iters, time_limit, use_mpq, dual, false, args_parser); + } + catch(...) { + cout << "catching the failure" << endl; + failures++; + std::cout.rdbuf(coutbuf); // reset to standard output again + return; + } + std::cout.rdbuf(coutbuf); // reset to standard output again + + if (args_parser.option_is_used("--compare_with_glpk")) { + string glpk_out_file_name = out_dir + "/" + create_output_file_name_for_glpsol(minimize, string(test_file_name)); + int glpk_exit_code = run_glpk(input_file_name, glpk_out_file_name, minimize, time_limit); + if (glpk_exit_code != 0) { + cout << "glpk failed" << endl; + inconclusives++; + } else { + compare_with_glpk(glpk_out_file_name, full_lp_tst_out_name, successes, failures, input_file_name); + } + } +} + +vector> get_file_list_of_dir(string test_file_dir) { + DIR *dir; + if ((dir = opendir(test_file_dir.c_str())) == nullptr) { + cout << "Cannot open directory " << test_file_dir << endl; + throw 0; + } + vector> ret; + struct dirent entry; + struct dirent* result; + int return_code; + for (return_code = readdir_r(dir, &entry, &result); + result != NULL && return_code == 0; + return_code = readdir_r(dir, &entry, &result)) { + DIR *tmp_dp = opendir(entry.d_name); + struct stat file_record; + if (tmp_dp == nullptr) { + string s = test_file_dir+ "/" + entry.d_name; + int stat_ret = stat(s.c_str(), & file_record); + if (stat_ret!= -1) { + ret.push_back(make_pair(entry.d_name, file_record.st_size)); + } else { + perror("stat"); + exit(1); + } + } else { + closedir(tmp_dp); + } + } + closedir(dir); + return ret; +} + + +struct file_size_comp { + unordered_map& m_file_sizes; + file_size_comp(unordered_map& fs) :m_file_sizes(fs) {} + int operator()(string a, string b) { + cout << m_file_sizes.size() << endl; + cout << a << endl; + cout << b << endl; + + auto ls = m_file_sizes.find(a); + cout << "fa" << endl; + auto rs = m_file_sizes.find(b); + cout << "fb" << endl; + if (ls != m_file_sizes.end() && rs != m_file_sizes.end()) { + cout << "fc " << endl; + int r = (*ls < *rs? -1: (*ls > *rs)? 1 : 0); + cout << "calc r " << endl; + return r; + } else { + cout << "sc " << endl; + return 0; + } + } +}; + + +struct sort_pred { + bool operator()(const std::pair &left, const std::pair &right) { + return left.second < right.second; + } +}; + + +void test_files_from_directory(string test_file_dir, argument_parser & args_parser) { + cout << "loading files from directory \"" << test_file_dir << "\"" << endl; + string out_dir = args_parser.get_option_value("--out_dir"); + if (out_dir.size() == 0) { + out_dir = "/tmp/test"; + } + DIR *out_dir_p = opendir(out_dir.c_str()); + if (out_dir_p == nullptr) { + cout << "Cannot open output directory \"" << out_dir << "\"" << endl; + return; + } + closedir(out_dir_p); + vector> files = get_file_list_of_dir(test_file_dir); + std::sort(files.begin(), files.end(), sort_pred()); + unsigned max_iters, time_limit; + get_time_limit_and_max_iters_from_parser(args_parser, time_limit, max_iters); + unsigned successes = 0, failures = 0, inconclusives = 0; + for (auto & t : files) { + process_test_file(test_file_dir, t.first, args_parser, out_dir, max_iters, time_limit, successes, failures, inconclusives); + } + cout << "comparing with glpk: successes " << successes << ", failures " << failures << ", inconclusives " << inconclusives << endl; +} + + +unordered_map get_solution_map(lp_solver * lps, mps_reader & reader) { + unordered_map ret; + for (auto it : reader.column_names()) { + ret[it] = lps->get_column_value_by_name(it); + } + return ret; +} + +void run_lar_solver(argument_parser & args_parser, lar_solver * solver, mps_reader * reader) { + string maxng = args_parser.get_option_value("--maxng"); + if (maxng.size() > 0) { + solver->settings().max_number_of_iterations_with_no_improvements = atoi(maxng.c_str()); + } + if (args_parser.option_is_used("--totalinf")) { + solver->settings().row_feasibility = false; + } + if (args_parser.option_is_used("--mpq")) { + solver->settings().use_double_solver_for_lar = false; + } + string iter = args_parser.get_option_value("--max_iters"); + if (iter.size() > 0) { + solver->settings().max_total_number_of_iterations = atoi(iter.c_str()); + } + if (args_parser.option_is_used("--compare_with_primal")){ + if (reader == nullptr) { + cout << "cannot compare with primal, the reader is null " << endl; + return; + } + auto * lps = reader->create_solver(false); + lps->find_maximal_solution(); + unordered_map sol = get_solution_map(lps, *reader); + mpq inf = solver->get_infeasibility_of_solution(sol); + cout << "inf with primal = " << inf << endl; + return; + } + int begin = get_millisecond_count(); + lp_status status = solver->check(); + cout << "status is " << lp_status_to_string(status) << ", processed for " << get_millisecond_span(begin) / 1000.0 <<" seconds, and " << solver->get_total_iterations() << " iterations" << endl; + if (solver->get_status() == INFEASIBLE) { + buffer> evidence; + solver->get_infeasibility_evidence(evidence); + } +} + +void test_lar_on_file(string file_name, argument_parser & args_parser) { + lar_solver * solver = nullptr; + cout << "processing " << file_name << endl; + if (args_parser.option_is_used("--smt")) { + smt_reader reader(file_name); + reader.read(); + if (!reader.is_ok()){ + std::cout << "cannot process " << file_name << std::endl; + return; + } + solver = reader.create_lar_solver(); + run_lar_solver(args_parser, solver, nullptr); + delete solver; + return; + } + mps_reader reader(file_name); + reader.read(); + if (!reader.is_ok()) { + std::cout << "cannot process " << file_name << std::endl; + return; + } + solver = reader.create_lar_solver(); + run_lar_solver(args_parser, solver, & reader); + delete solver; +} + +vector get_file_names_from_file_list(string filelist) { + ifstream file(filelist); + if (!file.is_open()) { + cout << "cannot open " << filelist << endl; + return vector(); + } + vector ret; + bool end; + do { + string s = read_line(end, file); + if (end) + break; + if (s.size() == 0) + break; + ret.push_back(s); + } while (true); + return ret; +} + +void test_lar_solver(argument_parser & args_parser) { + string file_name = args_parser.get_option_value("--file"); + if (file_name.size() > 0) { + test_lar_on_file(file_name, args_parser); + return; + } + + string file_list = args_parser.get_option_value("--filelist"); + if (file_list.size() > 0) { + for (string fn : get_file_names_from_file_list(file_list)) + test_lar_on_file(fn, args_parser); + return; + } +} + +void test_numeric_pair() { + numeric_pair a; + numeric_pair b(2, mpq(6, 2)); + a = b; + numeric_pair c(0.1, 0.5); + a += 2*c; + a -= c; + lean_assert (a == b + c); + numeric_pair d = a * 2; + cout << a << endl; + lean_assert(b == b); + lean_assert(b < a); + lean_assert(b <= a); + lean_assert(a > b); + lean_assert(a != b); + lean_assert(a >= b); + lean_assert(-a < b); + lean_assert(a < 2 * b); + lean_assert(b + b > a); + lean_assert(mpq(2.1) * b + b > a); + lean_assert(-b * mpq(2.1) - b < mpq(0.99) * a); + cout << - b * mpq(2.1) - b << endl; + lean_assert(-b *(mpq(2.1) + 1) == - b * mpq(2.1) - b); +} + +void get_matrix_dimensions(ifstream & f, unsigned & m, unsigned & n) { + string line; + getline(f, line); + getline(f, line); + vector r = split_and_trim(line); + m = atoi(r[1].c_str()); + getline(f, line); + r = split_and_trim(line); + n = atoi(r[1].c_str()); +} + +void read_row_cols(unsigned i, static_matrix& A, ifstream & f) { + do { + string line; + getline(f, line); + if (line== "row_end") + break; + auto r = split_and_trim(line); + lean_assert(r.size() == 4); + unsigned j = atoi(r[1].c_str()); + double v = atof(r[3].c_str()); + A.set(i, j, v); + } while (true); +} + +bool read_row(static_matrix & A, ifstream & f) { + string line; + getline(f, line); + if (static_cast(line.find("row")) == -1) + return false; + auto r = split_and_trim(line); + if (r[0] != "row") + cout << "wrong row line" << line << endl; + unsigned i = atoi(r[1].c_str()); + read_row_cols(i, A, f); + return true; +} + +void read_rows(static_matrix& A, ifstream & f) { + while (read_row(A, f)) {} +} + +void read_basis(vector & basis, ifstream & f) { + cout << "reading basis" << endl; + string line; + getline(f, line); + lean_assert(line == "basis_start"); + do { + getline(f, line); + if (line == "basis_end") + break; + unsigned j = atoi(line.c_str()); + basis.push_back(j); + } while (true); +} + +void read_indexed_vector(indexed_vector & v, ifstream & f) { + string line; + getline(f, line); + lean_assert(line == "vector_start"); + do { + getline(f, line); + if (line == "vector_end") break; + auto r = split_and_trim(line); + unsigned i = atoi(r[0].c_str()); + double val = atof(r[1].c_str()); + v.set_value(val, i); + cout << "setting value " << i << " = " << val << endl; + } while (true); +} + +void check_lu_from_file(string lufile_name) { + ifstream f(lufile_name); + if (!f.is_open()) { + cout << "cannot open file " << lufile_name << endl; + } + unsigned m, n; + get_matrix_dimensions(f, m, n); + cout << "init matrix " << m << " by " << n << endl; + static_matrix A(m, n); + read_rows(A, f); + vector basis; + read_basis(basis, f); + indexed_vector v(m); + // read_indexed_vector(v, f); + f.close(); + vector basis_heading; + lp_settings settings; + vector non_basic_columns; + lu lsuhl(A, basis, basis_heading, settings, non_basic_columns); + vector d(A.row_count()); +#ifndef NDEBUG + lp_settings::ddd = 1; +#endif + unsigned entering = 26; + lsuhl.solve_Bd(entering, d, v); +#ifndef NDEBUG + auto B = get_B(lsuhl); + vector a(m); + A.copy_column_to_vector(entering, a); + vector cd(d); + B.apply_from_left(cd, settings); + lean_assert(vectors_are_equal(cd , a)); +#endif +} + +void test_square_dense_submatrix() { + cout << "testing square_dense_submatrix" << endl; + unsigned parent_dim = 7; + sparse_matrix parent(parent_dim); + fill_matrix(parent); + unsigned index_start = 3; + square_dense_submatrix d; + d.init(&parent, index_start); + for (unsigned i = index_start; i < parent_dim; i++) + for (unsigned j = index_start; j < parent_dim; j++) + d[i][j] = i*3+j*2; +#ifndef NDEBUG + unsigned dim = parent_dim - index_start; + dense_matrix m(dim, dim); + for (unsigned i = index_start; i < parent_dim; i++) + for (unsigned j = index_start; j < parent_dim; j++) + m[i-index_start][j-index_start] = d[i][j]; + print_matrix(m); +#endif + for (unsigned i = index_start; i < parent_dim; i++) + for (unsigned j = index_start; j < parent_dim; j++) + d[i][j] = d[j][i]; +#ifndef NDEBUG + for (unsigned i = index_start; i < parent_dim; i++) + for (unsigned j = index_start; j < parent_dim; j++) + m[i-index_start][j-index_start] = d[i][j]; + + print_matrix(m); + cout << endl; +#endif +} + + +int main(int argn, char * const * argv) { + initialize_util_module(); + initialize_numerics_module(); + int ret; + argument_parser args_parser(argn, argv); + setup_args_parser(args_parser); + + if (!args_parser.parse()) { + cout << args_parser.m_error_message << endl; + cout << args_parser.usage_string(); + ret = 1; + return finalize(ret); + } + cout << "the options are " << endl; + args_parser.print(); + string lufile = args_parser.get_option_value("--checklu"); + if (lufile.size()) { + check_lu_from_file(lufile); + return finalize(0); + } + +#ifndef NDEBUG + if (args_parser.option_is_used("--test_swaps")) { + sparse_matrix m(10); + fill_matrix(m); + test_swap_rows_with_permutation(m); + test_swap_cols_with_permutation(m); + return finalize(0); + } +#endif + if (args_parser.option_is_used("--test_file_directory")) { + test_files_from_directory(args_parser.get_option_value("--test_file_directory"), args_parser); + return finalize(0); + } + if (args_parser.option_is_used("--lar")){ + cout <<"calling test_lar_solver" << endl; + test_lar_solver(args_parser); + return finalize(0); + } + string file_list = args_parser.get_option_value("--filelist"); + if (file_list.size() > 0) { + for (string fn : get_file_names_from_file_list(file_list)) + solve_mps(fn, args_parser); + return finalize(0); + } + + if (args_parser.option_is_used("-tbq")) { + test_binary_priority_queue(); + ret = 0; + return finalize(ret); + } + +#ifndef NDEBUG + lp_settings settings; + update_settings(args_parser, settings); + if (args_parser.option_is_used("--test_lu")) { + test_lu(settings); + ret = 0; + return finalize(ret); + } + + if (args_parser.option_is_used("--test_larger_lu")) { + test_larger_lu(settings); + ret = 0; + return finalize(ret); + } + + if (args_parser.option_is_used("--test_larger_lu_with_holes")) { + test_larger_lu_with_holes(settings); + ret = 0; + return finalize(ret); + } +#endif + + if (args_parser.option_is_used("--test_lp_0")) { + test_lp_0(); + ret = 0; + return finalize(ret); + } + + + unsigned max_iters; + unsigned time_limit; + get_time_limit_and_max_iters_from_parser(args_parser, time_limit, max_iters); + bool dual = args_parser.option_is_used("--dual"); + bool solve_for_rational = args_parser.option_is_used("--mpq"); + string file_name = args_parser.get_option_value("--file"); + if (file_name.size() > 0) { + solve_mps(file_name, args_parser.option_is_used("--min"), max_iters, time_limit, solve_for_rational, dual, args_parser.option_is_used("--compare_with_primal"), args_parser); + ret = 0; + return finalize(ret); + } + + if (args_parser.option_is_used("--solve_some_mps")) { + solve_some_mps(args_parser); + ret = 0; + return finalize(ret); + } + // lean::ccc = 0; + return finalize(0); + test_init_U(); + test_replace_column(); +#ifndef NDEBUG + test_perm_apply_reverse_from_right(); + test_conjugate_perm(); + sparse_matrix_with_permutaions_test(); + test_conjugate(); + test_dense_matrix(); + test_swap_operations(); + test_permutations(); + test_pivot_like_swaps_and_pivot(); +#endif + tst1(); + std::cout<< "done with LP tests\n"; + return finalize(has_violations() ? 1 : 0); +} diff --git a/src/tests/util/lp/mps_reader.h b/src/tests/util/lp/mps_reader.h new file mode 100644 index 0000000000..77c9394abd --- /dev/null +++ b/src/tests/util/lp/mps_reader.h @@ -0,0 +1,838 @@ +/* + Copyright (c) 2013 Microsoft Corporation. All rights reserved. + Released under Apache 2.0 license as described in the file LICENSE. + + Author: Lev Nachmanson +*/ + +#pragma once + +// reads an MPS file reperesenting a Mixed Integer Program +#include +#include +#include +#include "util/lp/lp_primal_simplex.h" +#include "util/lp/lp_dual_simplex.h" +#include "util/lp/lar_solver.h" +#include +#include +#include +#include +#include +namespace lean { +using namespace std; + // trim from start +inline string <rim(std::string &s) { + s.erase(s.begin(), find_if(s.begin(), s.end(), std::not1(std::ptr_fun(std::isspace)))); + return s; +} + + + + + // trim from end +inline string &rtrim(std::string &s) { + s.erase(std::find_if(s.rbegin(), s.rend(), std::not1(std::ptr_fun(std::isspace))).base(), s.end()); + return s; +} + // trim from both ends +inline string &trim(std::string &s) { + return ltrim(rtrim(s)); +} + +inline string trim(std::string const &r) { + string s = r; + return ltrim(rtrim(s)); +} + + +inline vector string_split(const string &source, const char *delimiter, bool keep_empty) { + vector results; + size_t prev = 0; + size_t next = 0; + while ((next = source.find_first_of(delimiter, prev)) != std::string::npos) { + if (keep_empty || (next - prev != 0)) { + results.push_back(source.substr(prev, next - prev)); + } + prev = next + 1; + } + if (prev < source.size()) { + results.push_back(source.substr(prev)); + } + return results; +} + +inline vector split_and_trim(string line) { + auto split = string_split(line, " \t", false); + vector ret; + for (auto s : split) { + ret.push_back(trim(s)); + } + return ret; +} + +template +class mps_reader { + enum row_type { Cost, Less_or_equal, Greater_or_equal, Equal }; + struct bound { + bool m_low_is_set = true; + T m_low; + bool m_upper_is_set = false; + T m_upper; + bool m_value_is_fixed = false; + T m_fixed_value; + bool m_free = false; + // constructor + bound() : m_low(numeric_traits::zero()) {} // it seems all mps files I have seen have the default low value 0 on a variable + }; + + struct column { + string m_name; + bound * m_bound = nullptr; + unsigned m_index; + column(string name, unsigned index): m_name(name), m_index(index) { + } + }; + + struct row { + row_type m_type; + string m_name; + unordered_map m_row_columns; + T m_right_side = numeric_traits::zero(); + unsigned m_index; + T m_range = numeric_traits::zero(); + row(row_type type, string name, unsigned index) : m_type(type), m_name(name), m_index(index) { + } + }; + + string m_file_name; + bool m_is_OK = true; + unordered_map m_rows; + unordered_map m_columns; + string m_line; + string m_name; + string m_cost_row_name; + ifstream m_file_stream; + // needed to adjust the index row + unsigned m_cost_line_count = 0; + unsigned m_line_number = 0; + + + void set_m_ok_to_false() { + cout << "setting m_is_OK to false" << endl; + m_is_OK = false; + } + + string get_string_from_position(unsigned offset) { + unsigned i = offset; + for (; i < m_line.size(); i++){ + if (m_line[i] == ' ') + break; + } + lean_assert(m_line.size() >= offset); + lean_assert(m_line.size() >> i); + lean_assert(i >= offset); + return m_line.substr(offset, i - offset); + } + + void set_boundary_for_column(unsigned col, bound * b, lp_solver * solver){ + if (b == nullptr) { + solver->set_low_bound(col, numeric_traits::zero()); + return; + } + + if (b->m_free) { + return; + } + if (b->m_low_is_set) { + solver->set_low_bound(col, b->m_low); + } + if (b->m_upper_is_set) { + solver->set_upper_bound(col, b->m_upper); + } + + if (b->m_value_is_fixed) { + solver->set_fixed_value(col, b->m_fixed_value); + } + } + + bool all_white_space() { + for (unsigned i = 0; i < m_line.size(); i++) { + char c = m_line[i]; + if (c != ' ' && c != '\t') { + return false; + } + } + return true; + } + + void read_line() { + while (m_is_OK) { + if (!getline(m_file_stream, m_line)) { + m_line_number++; + set_m_ok_to_false(); + cout << "cannot read from file" << endl; + } + m_line_number++; + if (m_line.size() != 0 && m_line[0] != '*' && !all_white_space()) + break; + } + } + + void read_name() { + do { + read_line(); + if (!m_line.find("NAME") == 0) { + continue; + } + m_line = m_line.substr(4); + m_name = trim(m_line); + break; + } while (m_is_OK); + } + + void read_rows() { + // look for start of the rows + read_line(); + do { + if (m_line.find("ROWS") >= 0) { + break; + } + } while (m_is_OK); + do { + read_line(); + if (m_line.find("COLUMNS") == 0) { + break; + } + add_row(); + } while (m_is_OK); + } + + void read_column_by_columns(string column_name, string column_data) { + // uph, let us try to work with columns + if (column_data.size() >= 22) { + string ss = column_data.substr(0, 8); + string row_name = trim(ss); + auto t = m_rows.find(row_name); + + if (t == m_rows.end()) { + cout << "cannot find " << row_name << endl; + goto fail; + } else { + row * row = t->second; + row->m_row_columns[column_name] = atof(column_data.substr(8).c_str()); + if (column_data.size() > 24) { + column_data = column_data.substr(25); + if (column_data.size() >= 22) { + read_column_by_columns(column_name, column_data); + } + } + } + } else { + fail: + set_m_ok_to_false(); + cout << "cannot understand this line" << endl; + cout << "line = " << m_line << ", line number is " << m_line_number << endl; + return; + } + } + + void read_column(string column_name, string column_data){ + auto tokens = split_and_trim(column_data); + for (int i = 0; i < tokens.size() - 1; i+= 2) { + auto row_name = tokens[i]; + if (row_name == "'MARKER'") return; // it is the integrality marker, no real data here + auto t = m_rows.find(row_name); + if (t == m_rows.end()) { + read_column_by_columns(column_name, column_data); + return; + } + row *r = t->second; + r->m_row_columns[column_name] = atof(tokens[i + 1].c_str()); + } + } + + void read_columns(){ + string column_name; + do { + read_line(); + if (m_line.find("RHS") == 0) { + // cout << "found RHS" << endl; + break; + } + if (m_line.size() < 22) { + cout << "line is too short for a column" << endl; + cout << m_line << endl; + cout << "line number is " << m_line_number << endl; + set_m_ok_to_false(); + return; + } + string column_name_tmp = trim(m_line.substr(4, 8)); + if (!column_name_tmp.empty()) { + column_name = column_name_tmp; + } + auto col_it = m_columns.find(column_name); + mps_reader::column * col; + if (col_it == m_columns.end()) { + col = new mps_reader::column(column_name, m_columns.size()); + m_columns[column_name] = col; + // cout << column_name << '[' << col->m_index << ']'<< endl; + } else { + col = col_it->second; + } + read_column(column_name, m_line.substr(14)); + } while (m_is_OK); + } + + void read_rhs() { + do { + read_line(); + if (m_line.find("BOUNDS") == 0 || m_line.find("ENDATA") == 0 || m_line.find("RANGES") == 0) { + break; + } + fill_rhs(); + } while (m_is_OK); + } + + + void fill_rhs_by_columns(string rhsides) { + // uph, let us try to work with columns + if (rhsides.size() >= 22) { + string ss = rhsides.substr(0, 8); + string row_name = trim(ss); + auto t = m_rows.find(row_name); + + if (t == m_rows.end()) { + cout << "cannot find " << row_name << endl; + goto fail; + } else { + row * row = t->second; + row->m_right_side = atof(rhsides.substr(8).c_str()); + if (rhsides.size() > 24) { + rhsides = rhsides.substr(25); + if (rhsides.size() >= 22) { + fill_rhs_by_columns(rhsides); + } + } + } + } else { + fail: + set_m_ok_to_false(); + cout << "cannot understand this line" << endl; + cout << "line = " << m_line << ", line number is " << m_line_number << endl; + return; + } + } + + void fill_rhs() { + if (m_line.size() < 14) { + cout << "line is too short" << endl; + cout << m_line << endl; + cout << "line number is " << m_line_number << endl; + set_m_ok_to_false(); + return; + } + string rhsides = m_line.substr(14); + vector splitted_line = split_and_trim(rhsides); + + for (unsigned i = 0; i < splitted_line.size() - 1; i += 2) { + auto t = m_rows.find(splitted_line[i]); + if (t == m_rows.end()) { + fill_rhs_by_columns(rhsides); + return; + } + row * row = t->second; + row->m_right_side = atof(splitted_line[i + 1].c_str()); + } + } + + void read_bounds() { + if (!m_line.find("BOUNDS") == 0) { + return; + } + + do { + read_line(); + if (m_line[0] != ' ') { + break; + } + create_or_update_bound(); + } while (m_is_OK); + } + + void read_ranges() { + if (!m_line.find("RANGES") == 0) { + return; + } + do { + read_line(); + auto sl = split_and_trim(m_line); + if (sl.size() < 2) { + break; + } + read_range(sl); + } while (m_is_OK); + } + + + void read_bound_by_columns(string colstr) { + if (colstr.size() < 14) { + cout << "line is too short" << endl; + cout << m_line << endl; + cout << "line number is " << m_line_number << endl; + set_m_ok_to_false(); + return; + } + // uph, let us try to work with columns + if (colstr.size() >= 22) { + string ss = colstr.substr(0, 8); + string column_name = trim(ss); + auto t = m_columns.find(column_name); + + if (t == m_columns.end()) { + cout << "cannot find " << column_name << endl; + goto fail; + } else { + vector bound_string; + bound_string.push_back(column_name); + if (colstr.size() > 14) { + bound_string.push_back(colstr.substr(14)); + } + mps_reader::column * col = t->second; + bound * b = col->m_bound; + if (b == nullptr) { + col->m_bound = b = new bound(); + } + update_bound(b, bound_string); + } + } else { + fail: + set_m_ok_to_false(); + cout << "cannot understand this line" << endl; + cout << "line = " << m_line << ", line number is " << m_line_number << endl; + return; + } + } + + void update_bound(bound * b, vector bound_string) { + /* + UP means an upper bound is applied to the variable. A bound of type LO means a lower bound is applied. A bound type of FX ("fixed") means that the variable has upper and lower bounds equal to a single value. A bound type of FR ("free") means the variable has neither lower nor upper bounds and so can take on negative values. A variation on that is MI for free negative, giving an upper bound of 0 but no lower bound. Bound type PL is for a free positive for zero to plus infinity, but as this is the normal default, it is seldom used. There are also bound types for use in MIP models - BV for binary, being 0 or 1. UI for upper integer and LI for lower integer. SC stands for semi-continuous and indicates that the variable may be zero, but if not must be equal to at least the value given. + */ + + string bound_type = get_string_from_position(1); + if (bound_type == "BV") { + b->m_upper_is_set = true; + b->m_upper = 1; + return; + } + + if (bound_type == "UP" || bound_type == "UI" || bound_type == "LIMITMAX") { + if (bound_string.size() <= 1){ + set_m_ok_to_false(); + return; + } + double val = atof(bound_string[1].c_str()); + + b->m_upper_is_set = true; + b->m_upper= val; + } else if (bound_type == "LO" || bound_type == "LI") { + if (bound_string.size() <= 1){ + set_m_ok_to_false(); + return; + } + + double val = atof(bound_string[1].c_str()); + b->m_low_is_set = true; + b->m_low = val; + } else if (bound_type == "FR") { + b->m_free = true; + } else if (bound_type == "FX") { + if (bound_string.size() <= 1){ + set_m_ok_to_false(); + return; + } + + double val = atof(bound_string[1].c_str()); + b->m_value_is_fixed = true; + b->m_fixed_value = val; + } else if (bound_type == "PL") { + b->m_low_is_set = true; + b->m_low = 0; + } else if (bound_type == "MI") { + b->m_upper_is_set = true; + b->m_upper = 0; + } else { + cout << "unexpected bound type " << bound_type << " at line " << m_line_number << endl; + set_m_ok_to_false(); + throw; + } + } + + void create_or_update_bound() { + const unsigned name_offset = 14; + lean_assert(m_line.size() >= 14); + vector bound_string = split_and_trim(m_line.substr(name_offset, m_line.size())); + + if (bound_string.size() == 0) { + set_m_ok_to_false(); + cout << "error at line " << m_line_number << endl; + throw m_line; + } + + string name = bound_string[0]; + auto it = m_columns.find(name); + if (it == m_columns.end()){ + read_bound_by_columns(m_line.substr(14)); + return; + } + mps_reader::column * col = it->second; + bound * b = col->m_bound; + if (b == nullptr) { + col->m_bound = b = new bound(); + } + update_bound(b, bound_string); + } + + + + void read_range_by_columns(string rhsides) { + if (m_line.size() < 14) { + cout << "line is too short" << endl; + cout << m_line << endl; + cout << "line number is " << m_line_number << endl; + set_m_ok_to_false(); + return; + } + // uph, let us try to work with columns + if (rhsides.size() >= 22) { + string ss = rhsides.substr(0, 8); + string row_name = trim(ss); + auto t = m_rows.find(row_name); + + if (t == m_rows.end()) { + cout << "cannot find " << row_name << endl; + goto fail; + } else { + row * row = t->second; + row->m_range = atof(rhsides.substr(8).c_str()); + maybe_modify_current_row_and_add_row_for_range(row); + if (rhsides.size() > 24) { + rhsides = rhsides.substr(25); + if (rhsides.size() >= 22) { + read_range_by_columns(rhsides); + } + } + } + } else { + fail: + set_m_ok_to_false(); + cout << "cannot understand this line" << endl; + cout << "line = " << m_line << ", line number is " << m_line_number << endl; + return; + } + } + + + void read_range(vector & splitted_line){ + for (unsigned i = 1; i < splitted_line.size() - 1; i += 2) { + auto it = m_rows.find(splitted_line[i]); + if (it == m_rows.end()) { + read_range_by_columns(m_line.substr(14)); + return; + } + row * row = it->second; + row->m_range = atof(splitted_line[i + 1].c_str()); + maybe_modify_current_row_and_add_row_for_range(row); + } + } + + void maybe_modify_current_row_and_add_row_for_range(row * row_with_range) { + unsigned index= m_rows.size() - m_cost_line_count; + string row_name = row_with_range->m_name + "_range"; + row * other_bound_range_row; + switch (row_with_range->m_type) { + case row_type::Greater_or_equal: + m_rows[row_name] = other_bound_range_row = new row(row_type::Less_or_equal, row_name, index); + other_bound_range_row->m_right_side = row_with_range->m_right_side + abs(row_with_range->m_range); + break; + case row_type::Less_or_equal: + m_rows[row_name] = other_bound_range_row = new row(row_type::Greater_or_equal, row_name, index); + other_bound_range_row->m_right_side = row_with_range->m_right_side - abs(row_with_range->m_range); + break; + case row_type::Equal: + if (row_with_range->m_range > 0) { + row_with_range->m_type = row_type::Greater_or_equal; // the existing row type change + m_rows[row_name] = other_bound_range_row = new row(row_type::Less_or_equal, row_name, index); + } else { // row->m_range < 0; + row_with_range->m_type = row_type::Less_or_equal; // the existing row type change + m_rows[row_name] = other_bound_range_row = new row(row_type::Greater_or_equal, row_name, index); + } + other_bound_range_row->m_right_side = row_with_range->m_right_side + row_with_range->m_range; + break; + default: + cout << "unexpected bound type " << row_with_range->m_type << " at line " << m_line_number << endl; + set_m_ok_to_false(); + throw; + } + + for (auto s : row_with_range->m_row_columns) { + lean_assert(m_columns.find(s.first) != m_columns.end()); + other_bound_range_row->m_row_columns[s.first] = s.second; + } + } + + void add_row() { + if (m_line.length() < 2) { + return; + } + + m_line = trim(m_line); + char c = m_line[0]; + m_line = m_line.substr(1); + m_line = trim(m_line); + add_row(c); + } + + void add_row(char c) { + unsigned index= m_rows.size() - m_cost_line_count; + switch (c) { + case 'E': + m_rows[m_line] = new row(row_type::Equal, m_line, index); + break; + case 'L': + m_rows[m_line] = new row(row_type::Less_or_equal, m_line, index); + break; + case 'G': + m_rows[m_line] = new row(row_type::Greater_or_equal, m_line, index); + break; + case 'N': + m_rows[m_line] = new row(row_type::Cost, m_line, index); + m_cost_row_name = m_line; + m_cost_line_count++; + break; + } + } + unsigned range_count() { + unsigned ret = 0; + for (auto s : m_rows) { + if (s.second->m_range != 0) { + ret++; + } + } + return ret; + } + + /* + If rhs is a constraint's right-hand-side value and range is the constraint's range value, then the range interval is defined according to the following table: + + sense interval + G [rhs, rhs + |range|] + L [rhs - |range|, rhs] + E [rhs, rhs + |range|] if range ¡Ý 0 [rhs - |range|, rhs] if range < 0 + where |range| is range's absolute value. + */ + + lp_relation get_relation_from_row(mps_reader::row_type row_type) { + switch (row_type) { + case mps_reader::row_type::Less_or_equal: return lp_relation::Less_or_equal; + case mps_reader::row_type::Greater_or_equal: return lp_relation::Greater_or_equal; + case mps_reader::row_type::Equal: return lp_relation::Equal; + default: + std::cout << "Unexpected row_type " << row_type << endl; + set_m_ok_to_false(); + throw; + } + } + + unsigned solver_row_count() { + return m_rows.size() - m_cost_line_count + range_count(); + } + + void fill_solver_on_row(row * row, lp_solver *solver) { + if (row->m_name != m_cost_row_name) { + solver->add_constraint(get_relation_from_row(row->m_type), row->m_right_side, row->m_index); + for (auto s : row->m_row_columns) { + lean_assert(m_columns.find(s.first) != m_columns.end()); + solver->set_row_column_coefficient(row->m_index, m_columns[s.first]->m_index, s.second); + } + } else { + set_solver_cost(row, solver); + } + } + + T abs(T & t) { return t < numeric_traits::zero() ? -t: t; } + + void fill_solver_on_rows(lp_solver * solver) { + for (auto row_it : m_rows) { + fill_solver_on_row(row_it.second, solver); + } + } + + + void fill_solver_on_columns(lp_solver * solver){ + for (auto s : m_columns) { + mps_reader::column * col = s.second; + unsigned index = col->m_index; + set_boundary_for_column(index, col->m_bound, solver); + // optional call + solver->give_symbolic_name_to_column(col->m_name, col->m_index); + } + } + + void fill_solver(lp_solver *solver) { + fill_solver_on_rows(solver); + fill_solver_on_columns(solver); + } + + void set_solver_cost(row * row, lp_solver *solver) { + for (auto s : row->m_row_columns) { + string name = s.first; + lean_assert(m_columns.find(name) != m_columns.end()); + mps_reader::column * col = m_columns[name]; + solver->set_cost_for_column(col->m_index, s.second); + } + } + +public: + vector column_names() { + vector v; + for (auto s : m_columns) { + v.push_back(s.first); + } + return v; + } + + ~mps_reader() { + for (auto s : m_rows) { + delete s.second; + } + for (auto s : m_columns) { + auto col = s.second; + auto b = col->m_bound; + if (b != nullptr) { + delete b; + } + delete col; + } + } + + mps_reader(string file_name): + m_file_name(file_name), m_file_stream(file_name) { + } + void read() { + if (!m_file_stream.is_open()){ + set_m_ok_to_false(); + return; + } + + read_name(); + read_rows(); + read_columns(); + read_rhs(); + if (m_line.find("BOUNDS") == 0) { + read_bounds(); + read_ranges(); + } else if (m_line.find("RANGES") == 0) { + read_ranges(); + read_bounds(); + } + } + + bool is_ok() { + return m_is_OK; + } + + lp_solver * create_solver(bool dual) { + lp_solver * solver = dual? (lp_solver*)new lp_dual_simplex() : new lp_primal_simplex(); + fill_solver(solver); + return solver; + } + + lconstraint_kind get_lar_relation_from_row(mps_reader::row_type row_type) { + switch (row_type) { + case Less_or_equal: return LE; + case Greater_or_equal: return GE; + case Equal: return EQ; + default: + std::cout << "Unexpected row_type " << row_type << endl; + set_m_ok_to_false(); + throw; + } + } + + void fill_lar_solver_on_row(row * row, lar_solver *solver) { + if (row->m_name != m_cost_row_name) { + auto kind = get_lar_relation_from_row(row->m_type); + buffer> ls; + for (auto s : row->m_row_columns) { + var_index i = solver->add_var(s.first); + ls.push_back(make_pair(s.second, i)); + } + solver->add_constraint(ls, kind, row->m_right_side); + } else { + // ignore the cost row + } + } + + + void fill_lar_solver_on_rows(lar_solver * solver) { + for (auto row_it : m_rows) { + fill_lar_solver_on_row(row_it.second, solver); + } + } + + void create_low_constraint_for_var(column* col, bound * b, lar_solver *solver) { + buffer> ls; + var_index i = solver->add_var(col->m_name); + ls.push_back(make_pair(numeric_traits::one(), i)); + solver->add_constraint(ls, GE, b->m_low); + } + + void create_upper_constraint_for_var(column* col, bound * b, lar_solver *solver) { + var_index i = solver->add_var(col->m_name); + buffer> ls; + ls.push_back(make_pair(numeric_traits::one(), i)); + solver->add_constraint(ls, LE, b->m_upper); + } + + void create_equality_contraint_for_var(column* col, bound * b, lar_solver *solver) { + var_index i = solver->add_var(col->m_name); + buffer> ls; + ls.push_back(make_pair(numeric_traits::one(), i)); + solver->add_constraint(ls, EQ, b->m_fixed_value); + } + + void fill_lar_solver_on_columns(lar_solver * solver) { + for (auto s : m_columns) { + mps_reader::column * col = s.second; + solver->add_var(col->m_name); + auto b = col->m_bound; + if (b == nullptr) return; + + if (b->m_free) continue; + + if (b->m_low_is_set) { + create_low_constraint_for_var(col, b, solver); + } + if (b->m_upper_is_set) { + create_upper_constraint_for_var(col, b, solver); + } + if (b->m_value_is_fixed) { + create_equality_contraint_for_var(col, b, solver); + } + } + } + + + void fill_lar_solver(lar_solver * solver) { + fill_lar_solver_on_columns(solver); + fill_lar_solver_on_rows(solver); + } + + lar_solver * create_lar_solver() { + lar_solver * solver = new lar_solver(); + fill_lar_solver(solver); + return solver; + } +}; +} diff --git a/src/tests/util/lp/murtagh.mps b/src/tests/util/lp/murtagh.mps new file mode 100644 index 0000000000..c03741b51b --- /dev/null +++ b/src/tests/util/lp/murtagh.mps @@ -0,0 +1,600 @@ +*NAME: OIL +*ROWS: 74 +*COLUMNS: 81 +*NONZERO: 504 +*OPT SOLN: 126.057 +*SOURCE: Bruce Murtagh, "Advanced Linear Programming" +*APPLICATION: oil refinery model +*COMMENTS: problem is maximization +* +NAME OIL REFINERY EXAMPLE +ROWS + N PROFIT + L MVOLBOL + L MVOLCOL + E MVOLLNC + E MVOLLNB + E MVOLSRK + E MVOLSRD + E MVOLVBB + E MVOLVBC + E MVOLRCR + E MVOLHVO + E UBALKWH + E UBALH2O + E UBALSTM + E UBALFUL + E MVOLB95 + E MVOLB90 + E MVOLLHG + E MVOLC3S + E MVOLNC4 + E MVOLLSR + E MVOLHSR + E MVOLIC4 + L VCAPSGP + E MVOLRFG + E MSCFHYL + E MVOLR90 + E MVOLR95 + E MVOLF90 + E MVOLF95 + L VCAPRFG + E MVOLLCO + E MVOLHHG + E MVOLHCD + L VCAPHVO + L VCAPHOL + E MVOLC3U + E MVOLC4U + E MVOLFCG + E MVOLSLR + L VCAPCCU + E MVOLLA3 + E MVOLLA4 + L VCAPALK + L XLPRPRE + L XHPRPRE + L XTELPRE + L XRVPPRE + L X200PRE + L X230PRE + E EVOLPRE + L XPSCPRE + L XRSCREG + L XLPRINT + L XHPRINT + L XTELINT + L XRVPINT + L X200INT + L X230INT + E EVOLINT + L XLPRREG + L XHPRREG + L XTELREG + L XRVPREG + L X200REG + L X230REG + E EVOLREG + E EVOLLPG + E EVOLJP4 + L XRVXJP4 + L XRVNJP4 + E EVOLDSL + E EVOLRSD + L XVISRSD +COLUMNS + VCRDBOL MVOLBOL 1.0 + VCRDBOL MVOLLNB -.537 + VCRDBOL MVOLSRK -.131 + VCRDBOL MVOLSRD -.1155 + VCRDBOL MVOLVBB -.037 + VCRDBOL MVOLRCR -.0365 + VCRDBOL MVOLHVO -.143 + VCRDBOL UBALKWH .302 + VCRDBOL UBALH2O .150 + VCRDBOL UBALSTM .003 + VCRDBOL UBALFUL .0587 + VCRDBOL PROFIT -12.8 + VCRDCOL MVOLCOL 1. + VCRDCOL MVOLLNC -.2931 + VCRDCOL MVOLSRK -.1170 + VCRDCOL MVOLSRD -.0649 + VCRDCOL MVOLVBC -.18 + VCRDCOL MVOLRCR -.1233 + VCRDCOL MVOLHVO -.2217 + VCRDCOL UBALKWH .384 + VCRDCOL UBALH2O .185 + VCRDCOL UBALSTM .003 + VCRDCOL UBALFUL .1053 + VCRDCOL PROFIT -11.48 + VSGPLNC MVOLLNC 1. + VSGPLNC MVOLC3S -.0112 + VSGPLNC MVOLNC4 -.0378 + VSGPLNC MVOLLSR -.1502 + VSGPLNC MVOLHSR -.7953 + VSGPLNC MVOLIC4 -.0099 + VSGPLNC UBALKWH .721 + VSGPLNC UBALH2O .185 + VSGPLNC UBALSTM .013 + VSGPLNC UBALFUL .0488 + VSGPLNC VCAPSGP 1. + VSGPLNB MVOLLNB 1. + VSGPLNB MVOLC3S -.0277 + VSGPLNB MVOLNC4 -.0563 + VSGPLNB MVOLLSR -.199 + VSGPLNB MVOLHSR -.6873 + VSGPLNB MVOLIC4 -.017 + VSGPLNB UBALKWH .495 + VSGPLNB UBALH2O .209 + VSGPLNB UBALSTM .013 + VSGPLNB UBALFUL .0506 + VSGPLNB VCAPSGP 1. + VSGPLHG MVOLLHG 1.0 + VSGPLHG MVOLC3S -.175 + VSGPLHG MVOLNC4 -.27 + VSGPLHG MVOLLSR -.028 + VSGPLHG MVOLIC4 -.455 + VSGPLHG UBALKWH .495 + VSGPLHG UBALH2O .209 + VSGPLHG UBALSTM .013 + VSGPLHG UBALFUL .0448 + VSGPB95 MVOLB95 1. + VSGPB95 MVOLC3S -.2836 + VSGPB95 MVOLNC4 -.3285 + VSGPB95 MVOLLSR -.0241 + VSGPB95 MVOLIC4 -.2502 + VSGPB95 UBALKWH .495 + VSGPB95 UBALH2O .209 + VSGPB95 UBALSTM .013 + VSGPB95 UBALFUL .0506 + VSGPB90 MVOLB90 1. + VSGPB90 MVOLC3S -.271 + VSGPB90 MVOLNC4 -.3289 + VSGPB90 MVOLLSR -.0255 + VSGPB90 MVOLIC4 -.2656 + VSGPB90 UBALKWH .495 + VSGPB90 UBALH2O .209 + VSGPB90 UBALSTM .013 + VSGPB90 UBALFUL .0506 + VH2RHSR MVOLHSR 1. + VH2RHSR MVOLRFG -1. + VH2RHSR MSCFHYL .0327 + VH2RHSR UBALKWH .793 + VH2RHSR UBALH2O .045 + VH2RHSR UBALFUL .094 + VH2RHSR PROFIT -.0176 + VRFFRF1 MVOLRFG 1.0 + VRFFRF1 MVOLR90 -1.0 + VRFFRF2 MVOLRFG 1.0 + VRFFRF2 MVOLR95 -1.0 + VRFFHH1 MVOLR90 -1.0 + VRFFHH1 MVOLHHG 1.0 + VRFFHH2 MVOLR95 -1.0 + VRFFHH2 MVOLHHG 1.0 + VRFGR90 MVOLR90 1.0 + VRFGR90 MVOLB90 -.0404 + VRFGR90 MVOLF90 -0.8564 + VRFGR90 MSCFHYL -0.8239 + VRFGR90 UBALKWH .792 + VRFGR90 UBALH2O .297 + VRFGR90 UBALSTM 0.0063 + VRFGR90 UBALFUL -0.156 + VRFGR90 VCAPRFG 1.0 + VRFGR90 PROFIT -0.1512 + VRFGR95 MVOLR95 1.0 + VRFGR95 MVOLB95 -0.0588 + VRFGR95 MVOLF95 -0.8145 + VRFGR95 MSCFHYL -.7689 + VRFGR95 UBALKWH 1.03 + VRFGR95 UBALH2O .387 + VRFGR95 UBALSTM 0.008 + VRFGR95 UBALFUL -.2112 + VRFGR95 VCAPRFG 1.3 + VRFGR95 PROFIT -0.304 + VHOLLCO MVOLLCO 1.0 + VHOLLCO MVOLHHG -.6627 + VHOLLCO MVOLLHG -0.2414 + VHOLLCO MVOLHCD -.2930 + VHOLLCO MSCFHYL 2.3 + VHOLLCO UBALFUL -.2054 + VHOLLCO UBALH2O 0.826 + VHOLLCO UBALKWH 14.61 + VHOLLCO VCAPHOL 1.0 + VHOLLCO PROFIT -0.2112 + VHOLSRD MVOLSRD 1.0 + VHOLSRD MVOLHHG -.6627 + VHOLSRD MVOLLHG -0.2414 + VHOLSRD MVOLHCD -.2930 + VHOLSRD MSCFHYL 2.3 + VHOLSRD UBALFUL -.2054 + VHOLSRD UBALH2O 0.826 + VHOLSRD UBALKWH 14.61 + VHOLSRD VCAPHOL 1.0 + VHOLSRD PROFIT -0.2112 + VHOLRCR MVOLRCR 1.0 + VHOLRCR MVOLHHG -.5875 + VHOLRCR MVOLLHG -0.3321 + VHOLRCR MVOLHCD -.3620 + VHOLRCR MSCFHYL 2.3 + VHOLRCR UBALFUL -.2054 + VHOLRCR UBALH2O 0.826 + VHOLRCR UBALKWH 14.61 + VHOLRCR VCAPHOL 1.0 + VHOLRCR PROFIT -0.2112 + VHOLHVO MVOLHVO 1.0 + VHOLHVO MVOLHHG -.5875 + VHOLHVO MVOLLHG -0.3321 + VHOLHVO MVOLHCD -.3620 + VHOLHVO MSCFHYL 2.3 + VHOLHVO UBALFUL -.2054 + VHOLHVO UBALH2O 0.826 + VHOLHVO UBALKWH 14.61 + VHOLHVO VCAPHVO 1.0 + VHOLHVO VCAPHOL 1.0 + VHOLHVO PROFIT -0.2112 + VCCUSRK MVOLSRK 1.0 + VCCUSRK MVOLNC4 -0.0184 + VCCUSRK MVOLC3S -0.0303 + VCCUSRK MVOLIC4 -0.0564 + VCCUSRK MVOLC3U -0.0655 + VCCUSRK MVOLC4U -0.0780 + VCCUSRK MVOLFCG -0.4750 + VCCUSRK MVOLLCO -0.3050 + VCCUSRK UBALSTM -.0654 + VCCUSRK UBALFUL -.2703 + VCCUSRK UBALH2O .632 + VCCUSRK UBALKWH .6807 + VCCUSRK VCAPCCU 1. + VCCUSRK PROFIT -.2112 + VCCUSRD MVOLSRD 1. + VCCUSRD MVOLNC4 -.0184 + VCCUSRD MVOLC3S -.0303 + VCCUSRD MVOLIC4 -.0564 + VCCUSRD MVOLC3U -.0655 + VCCUSRD MVOLC4U -.0780 + VCCUSRD MVOLFCG -.4750 + VCCUSRD MVOLLCO -.3050 + VCCUSRD UBALSTM -.0654 + VCCUSRD UBALFUL -.2703 + VCCUSRD UBALH2O 0.632 + VCCUSRD UBALKWH .6807 + VCCUSRD VCAPCCU 1. + VCCUSRD PROFIT -.2112 + VCCURCR MVOLRCR 1.0 + VCCURCR MVOLNC4 -.0185 + VCCURCR MVOLC3S -.0328 + VCCURCR MVOLIC4 -.0568 + VCCURCR MVOLC3U -.0658 + VCCURCR MVOLC4U -.0806 + VCCURCR MVOLFCG -.4934 + VCCURCR MVOLLCO -.2922 + VCCURCR MVOLSLR -.0096 + VCCURCR UBALSTM -.0654 + VCCURCR UBALFUL -.2703 + VCCURCR UBALH2O 0.632 + VCCURCR UBALKWH .6807 + VCCURCR VCAPCCU 1. + VCCURCR PROFIT -.2112 + VCCUHVO MVOLHVO 1.0 + VCCUHVO MVOLNC4 -.0185 + VCCUHVO MVOLC3S -.0328 + VCCUHVO MVOLIC4 -.0568 + VCCUHVO MVOLC3U -.0658 + VCCUHVO MVOLC4U -.0806 + VCCUHVO MVOLFCG -.4934 + VCCUHVO MVOLLCO -.2922 + VCCUHVO MVOLSLR -.0096 + VCCUHVO UBALSTM -.0654 + VCCUHVO UBALFUL -.2703 + VCCUHVO UBALH2O 0.632 + VCCUHVO UBALKWH .6807 + VCCUHVO VCAPHVO 1. + VCCUHVO VCAPCCU 1. + VCCUHVO PROFIT -.2112 + VALKLA3 MVOLIC4 .7600 + VALKLA3 MVOLC3U .5714 + VALKLA3 MVOLLA3 -1.0 + VALKLA3 UBALSTM .1869 + VALKLA3 UBALFUL .2796 + VALKLA3 UBALH2O 2.241 + VALKLA3 UBALKWH 2.766 + VALKLA3 VCAPALK 1.0 + VALKLA3 PROFIT -.512 + VALKLA4 MVOLIC4 .6571 + VALKLA4 MVOLC4U .5714 + VALKLA4 MVOLC3S -.0571 + VALKLA4 MVOLNC4 -.0114 + VALKLA4 MVOLLA4 -1.0 + VALKLA4 UBALSTM .1724 + VALKLA4 UBALFUL .2579 + VALKLA4 UBALH2O 2.067 + VALKLA4 UBALKWH 2.552 + VALKLA4 VCAPALK 1.0 + VALKLA4 PROFIT -.472 + VALKIC4 MVOLIC4 1.0 + VALKIC4 MVOLNC4 -1.0 + VALKC3U MVOLC3U 1.0 + VALKC3U MVOLC3S -1.0 + VALKC4U MVOLC4U 1.0 + VALKC4U MVOLNC4 -1.0 + UTILC3S MVOLC3S 1. + UTILC3S UBALFUL -3.814 + UTILNC4 MVOLNC4 1. + UTILNC4 UBALFUL -4.316 + UTILIC4 MVOLIC4 1. + UTILIC4 UBALFUL -4.153 + UTILC3U MVOLC3U 1. + UTILC3U UBALFUL -3.808 + UTILC4U MVOLC4U 1. + UTILC4U UBALFUL -4.44 + UTILHYL MSCFHYL 1. + UTILHYL UBALFUL -.305 + UTILSTM UBALSTM -1. + UTILSTM UBALFUL 1.42 + UTILSTM PROFIT -.16 + PURCPC4 MVOLIC4 -.5 + PURCPC4 MVOLNC4 -.5 + PURCPC4 PROFIT -12. + PURCH2O UBALH2O -1. + PURCH2O PROFIT -.0528 + PURCKWH UBALKWH -1. + PURCKWH PROFIT -.04 + PURCFUL UBALFUL -1. + PURCFUL PROFIT -1.6 + PURCFLR UBALFUL 1. + BLPGC3S MVOLC3S 1.0 + BLPGC3S EVOLLPG -1.0 + BLPGNC4 MVOLNC4 1.0 + BLPGNC4 EVOLLPG -1.0 + SELLLPG EVOLLPG 1.0 + SELLLPG PROFIT 11.0 + BUP4LSR MVOLLSR 1.0 + BUP4LSR EVOLJP4 -1.0 + BUP4LSR XRVXJP4 14.0 + BUP4LSR XRVNJP4 -14.0 + BUP4HSR MVOLHSR 1.0 + BUP4HSR EVOLJP4 -1.0 + BUP4HSR XRVXJP4 0.8 + BUP4HSR XRVNJP4 -0.8 + SELLJP4 EVOLJP4 1.0 + SELLJP4 XRVXJP4 -3.0 + SELLJP4 XRVNJP4 2.0 + SELLJP4 PROFIT 16.8 + BDSLSRK MVOLSRK 1.0 + BDSLSRK EVOLDSL -1.0 + BDSLSRD MVOLSRD 1.0 + BDSLSRD EVOLDSL -1.0 + SELLDSL EVOLDSL 1.0 + SELLDSL PROFIT 14.4 + BPRELSR MVOLLSR 1. + BPRELSR XLPRPRE -7.95 + BPRELSR XHPRPRE -8.70 + BPRELSR XTELPRE -3.00 + BPRELSR XRVPPRE 14.00 + BPRELSR X200PRE 1. + BPRELSR X230PRE -1. + BPRELSR EVOLPRE -1. + BPREHCD MVOLHCD 1.0 + BPREHCD XLPRPRE -8.84 + BPREHCD XHPRPRE -9.45 + BPREHCD XTELPRE -3.00 + BPREHCD XRVPPRE 12.00 + BPREHCD X200PRE 1. + BPREHCD X230PRE -1. + BPREHCD EVOLPRE -1. + BPREF95 MVOLF95 1.0 + BPREF95 XLPRPRE -9.43 + BPREF95 XHPRPRE -9.57 + BPREF95 XTELPRE -3. + BPREF95 XRVPPRE 3.5 + BPREF95 X200PRE .233 + BPREF95 X230PRE -.358 + BPREF95 EVOLPRE -1. + BPREF90 MVOLF90 1.0 + BPREF90 XLPRPRE -9.03 + BPREF90 XHPRPRE -9.32 + BPREF90 XTELPRE -3.0 + BPREF90 XRVPPRE 3.5 + BPREF90 X200PRE .205 + BPREF90 X230PRE -.333 + BPREF90 EVOLPRE -1. + BPREFCG MVOLFCG 1.0 + BPREFCG XLPRPRE -9.23 + BPREFCG XHPRPRE -9.22 + BPREFCG XTELPRE -3. + BPREFCG XRVPPRE 6. + BPREFCG X200PRE .381 + BPREFCG X230PRE -.509 + BPREFCG EVOLPRE -1. + BPRELA3 MVOLLA3 1.0 + BPRELA3 XLPRPRE -9.4 + BPRELA3 XHPRPRE -9.85 + BPRELA3 XTELPRE -3.0 + BPRELA3 XRVPPRE 2.5 + BPRELA3 X200PRE 0.39 + BPRELA3 X230PRE -0.77 + BPRELA3 EVOLPRE -1.0 + BPRELA4 MVOLLA4 1.0 + BPRELA4 XLPRPRE -9.74 + BPRELA4 XHPRPRE -10.1 + BPRELA4 XTELPRE -3.0 + BPRELA4 XRVPPRE 3.3 + BPRELA4 X200PRE 0.233 + BPRELA4 X230PRE -0.58 + BPRELA4 EVOLPRE -1.0 + BPRENC4 MVOLNC4 1.0 + BPRENC4 XLPRPRE -9.74 + BPRENC4 XHPRPRE -9.9 + BPRENC4 XTELPRE -3.0 + BPRENC4 XRVPPRE 66.0 + BPRENC4 X200PRE 1.0 + BPRENC4 X230PRE -1.0 + BPRENC4 EVOLPRE -1.0 + BPRETEL XLPRPRE -0.493 + BPRETEL XHPRPRE -0.165 + BPRETEL XTELPRE 1.0 + BPRETEL PROFIT -0.3696 + SELLPRE XLPRPRE 10.03 + SELLPRE XHPRPRE 10.03 + SELLPRE XRVPPRE -9.5 + SELLPRE X200PRE -0.5 + SELLPRE X230PRE 0.5 + SELLPRE XPSCPRE 0.64 + SELLPRE XRSCREG 0.35 + SELLPRE EVOLPRE 1.0 + SELLPRE PROFIT 21.44 + BINTLSR MVOLLSR 1.0 + BINTLSR XLPRINT -7.98 + BINTLSR XHPRINT -8.58 + BINTLSR XTELINT -3.0 + BINTLSR XRVPINT 14.0 + BINTLSR X200INT 1.0 + BINTLSR X230INT -1.0 + BINTLSR EVOLINT -1.0 + BINTHCD MVOLHCD 1. + BINTHCD XLPRINT -8.87 + BINTHCD XHPRINT -9.33 + BINTHCD XTELINT -3.0 + BINTHCD XRVPINT 12.0 + BINTHCD X200INT 1.0 + BINTHCD X230INT -1. + BINTHCD EVOLINT -1.0 + BINTF95 MVOLF95 1. + BINTF95 XLPRINT -9.46 + BINTF95 XHPRINT -9.45 + BINTF95 XTELINT -3.0 + BINTF95 XRVPINT 3.5 + BINTF95 X200INT .233 + BINTF95 X230INT -.358 + BINTF95 EVOLINT -1.0 + BINTF90 MVOLF90 1. + BINTF90 XLPRINT -9.06 + BINTF90 XHPRINT -9.20 + BINTF90 XTELINT -3.0 + BINTF90 XRVPINT 3.5 + BINTF90 X200INT .205 + BINTF90 X230INT -.333 + BINTF90 EVOLINT -1.0 + BINTFCG MVOLFCG 1. + BINTFCG XLPRINT -9.26 + BINTFCG XHPRINT -9.13 + BINTFCG XTELINT -3.0 + BINTFCG XRVPINT 6. + BINTFCG X200INT .318 + BINTFCG X230INT -.509 + BINTFCG EVOLINT -1.0 + BINTNC4 MVOLNC4 1. + BINTNC4 XLPRINT -9.77 + BINTNC4 XHPRINT -9.78 + BINTNC4 XTELINT -3.0 + BINTNC4 XRVPINT 66. + BINTNC4 X200INT 1.0 + BINTNC4 X230INT -1. + BINTNC4 EVOLINT -1.0 + BINTTEL XLPRINT -.435 + BINTTEL XHPRINT -.208 + BINTTEL XTELINT 1. + BINTTEL PROFIT -.3696 + SELLINT XLPRINT 9.65 + SELLINT XHPRINT 9.65 + SELLINT XRVPINT -9.5 + SELLINT X200INT -0.5 + SELLINT X230INT 0.5 + SELLINT XPSCPRE -.36 + SELLINT XRSCREG 0.35 + SELLINT EVOLINT 1.0 + SELLINT PROFIT 20.32 + BREGLSR MVOLLSR 1.0 + BREGLSR XLPRREG -7.99 + BREGLSR XHPRREG -8.59 + BREGLSR XTELREG -3.0 + BREGLSR XRVPREG 14.0 + BREGLSR X200REG 1.0 + BREGLSR X230REG -1.0 + BREGLSR EVOLREG -1.0 + BREGHCD MVOLHCD 1.0 + BREGHCD XLPRREG -8.88 + BREGHCD XHPRREG -9.34 + BREGHCD XTELREG -3.0 + BREGHCD XRVPREG 12.0 + BREGHCD X200REG 1.0 + BREGHCD X230REG -1.0 + BREGHCD EVOLREG -1.0 + BREGF95 MVOLF95 1.0 + BREGF95 XLPRREG -9.47 + BREGF95 XHPRREG -9.46 + BREGF95 XTELREG -3.0 + BREGF95 XRVPREG 3.5 + BREGF95 X200REG .233 + BREGF95 X230REG -0.358 + BREGF95 EVOLREG -1.0 + BREGF90 MVOLF90 1.0 + BREGF90 XLPRREG -9.07 + BREGF90 XHPRREG -9.21 + BREGF90 XTELREG -3.0 + BREGF90 XRVPREG 3.5 + BREGF90 X200REG .205 + BREGF90 X230REG -0.333 + BREGF90 EVOLREG -1.0 + BREGFCG MVOLFCG 1.0 + BREGFCG XLPRREG -9.27 + BREGFCG XHPRREG -9.14 + BREGFCG XTELREG -3.0 + BREGFCG XRVPREG 6.0 + BREGFCG X200REG 0.318 + BREGFCG X230REG -0.509 + BREGFCG EVOLREG -1.0 + BREGNC4 MVOLNC4 1.0 + BREGNC4 XLPRREG -9.78 + BREGNC4 XHPRREG -9.79 + BREGNC4 XTELREG -3.0 + BREGNC4 XRVPREG 66.0 + BREGNC4 X200REG 1.0 + BREGNC4 X230REG -1.0 + BREGNC4 EVOLREG -1.0 + BREGTEL XLPRREG -0.426 + BREGTEL XHPRREG -.204 + BREGTEL XTELREG 1.0 + BREGTEL PROFIT -0.3696 + SELLREG XLPRREG 9.05 + SELLREG XHPRREG 9.05 + SELLREG XRVPREG -9.5 + SELLREG X200REG -0.5 + SELLREG X230REG 0.5 + SELLREG XPSCPRE -0.36 + SELLREG XRSCREG -0.65 + SELLREG EVOLREG 1.0 + SELLREG PROFIT 18.04 + BRSDVBB MVOLVBB 1.0 + BRSDVBB EVOLRSD -1.0 + BRSDVBB XVISRSD 10.1 + BRSDVBC MVOLVBC 1.0 + BRSDVBC EVOLRSD -1.0 + BRSDVBC XVISRSD 12.63 + BRSDRCR MVOLRCR 1.0 + BRSDRCR EVOLRSD -1.0 + BRSDRCR XVISRSD 6.9 + BRSDHVO MVOLHVO 1.0 + BRSDHVO EVOLRSD -1.0 + BRSDHVO XVISRSD 8.05 + BRSDHVO VCAPHVO 1.0 + BRSDSLR MVOLSLR 1.0 + BRSDSLR EVOLRSD -1.0 + BRSDSLR XVISRSD 8.05 + BRSDLCO MVOLLCO 1.0 + BRSDLCO EVOLRSD -1.0 + BRSDLCO XVISRSD 4.4 + SELLRSD EVOLRSD 1.0 + SELLRSD XVISRSD -10.1 + SELLRSD PROFIT 8.00 +RHS + LIMITMAX MVOLBOL 26.316 + LIMITMAX MVOLCOL 21.052 + LIMITMAX VCAPSGP 23.25 + LIMITMAX VCAPHVO 5.25 + LIMITMAX VCAPRFG 13.455 + LIMITMAX VCAPHOL 3.87 + LIMITMAX VCAPCCU 7.26 + LIMITMAX VCAPALK 10. +ENDATA diff --git a/src/tests/util/lp/plan.mps b/src/tests/util/lp/plan.mps new file mode 100644 index 0000000000..b6bb094583 --- /dev/null +++ b/src/tests/util/lp/plan.mps @@ -0,0 +1,54 @@ +*000000001111111111222222222233333333334444444444555555555566 +*234567890123456789012345678901234567890123456789012345678901 +NAME PLAN +ROWS + N VALUE + E YIELD + L FE + L CU + L MN + L MG + G AL + L SI +COLUMNS + BIN1 VALUE .03000 YIELD 1.00000 + FE .15000 CU .03000 + MN .02000 MG .02000 + AL .70000 SI .02000 + BIN2 VALUE .08000 YIELD 1.00000 + FE .04000 CU .05000 + MN .04000 MG .03000 + AL .75000 SI .06000 + BIN3 VALUE .17000 YIELD 1.00000 + FE .02000 CU .08000 + MN .01000 AL .80000 + SI .08000 + BIN4 VALUE .12000 YIELD 1.00000 + FE .04000 CU .02000 + MN .02000 AL .75000 + SI .12000 + BIN5 VALUE .15000 YIELD 1.00000 + FE .02000 CU .06000 + MN .02000 MG .01000 + AL .80000 SI .02000 + ALUM VALUE .21000 YIELD 1.00000 + FE .01000 CU .01000 + AL .97000 SI .01000 + SILICON VALUE .38000 YIELD 1.00000 + FE .03000 SI .97000 +RHS + RHS1 YIELD 2000.00000 FE 60.00000 + CU 100.00000 MN 40.00000 + SI 300.00000 + MG 30.00000 AL 1500.00000 +RANGES + RNG1 SI 50.00000 +BOUNDS + UP BND1 BIN1 200.00000 + UP BIN2 2500.00000 + LO BIN3 400.00000 + UP BIN3 800.00000 + LO BIN4 100.00000 + UP BIN4 700.00000 + UP BIN5 1500.00000 +ENDATA diff --git a/src/tests/util/lp/run_netlib.sh b/src/tests/util/lp/run_netlib.sh new file mode 100755 index 0000000000..5008be8579 --- /dev/null +++ b/src/tests/util/lp/run_netlib.sh @@ -0,0 +1,57 @@ +#!/bin/bash +failures=0 +successes=0 +inconclusive=0 +total=0 +if [ $# -eq 1 ]; then + mpq_option=$1 + if [ $mpq_option != "--mpq" ]; then + echo "Usage: run_netlib.sh [--mpq]" + exit 1 + fi +else + mpq_option="none" + if [ $# -ne 0 ] ; then + echo "Too many arguments. Usage: run_netlib.sh [--mpq]" + exit 1 + fi +fi + +date + +function analyze_run_result() { + status=$? + if [ $status -ne 0 ]; then + if [ $status -ne 2 ]; then + let "failures += 1" + echo "Failure" + else + echo "Inconclusive" + let "inconclusive += 1" + fi + else + let "successes += 1" + echo "Success" + fi +} + +for f in test_files/netlib/*.SIF ; do + let "total += 2" + echo "processing "$f" for minimum" + ./compare_with_glpk.sh --min $f + analyze_run_result + + echo "processing "$f" for maximum" + ./compare_with_glpk.sh --max $f + analyze_run_result + + if [ $mpq_option == "--mpq" ]; then + let "total += 1" + echo "processing "$f" for rationals for minimum" + ./compare_with_glpk.sh --min --mpq $f + analyze_run_result + fi +done + +echo "Total runs="$total", failures="$failures", successes="$successes", inconclusive="$inconclusive +date diff --git a/src/tests/util/lp/samp1.mps b/src/tests/util/lp/samp1.mps new file mode 100644 index 0000000000..dd60d18437 --- /dev/null +++ b/src/tests/util/lp/samp1.mps @@ -0,0 +1,29 @@ +NAME SAMP1 +ROWS + N Z + G R1 + G R2 + G R3 +COLUMNS + X1 R1 2.0 R2 1.0 + X1 R3 5.0 Z 3.0 + MARK0001 'MARKER' 'INTORG' + X2 R1 -1.0 R2 -1.0 + X2 R3 3.0 Z 7.0 + X3 R1 1.0 R2 -6.0 + X3 Z -1.0 + MARK0002 'MARKER' 'INTEND' + X4 R1 -1.0 R2 4.0 + X4 R3 1.0 Z 1.0 +RHS + RHS1 R1 1.0 + RHS1 R2 8.0 + RHS1 R3 5.0 +BOUNDS + UP BND1 X1 4.0 + LO BND1 X2 2.0 + UP BND1 X2 5.0 + UP BND1 X3 1.0 + LO BND1 X4 3.0 + UP BND1 X4 8.0 +ENDATA diff --git a/src/tests/util/lp/samp2.mps b/src/tests/util/lp/samp2.mps new file mode 100644 index 0000000000..d2da1a31dd --- /dev/null +++ b/src/tests/util/lp/samp2.mps @@ -0,0 +1,27 @@ +NAME SAMP2 +ROWS + N Z + G R1 + G R2 + G R3 +COLUMNS + X1 R1 2.0 R2 1.0 + X1 R3 5.0 Z 3.0 + X2 R1 -1.0 R2 -1.0 + X2 R3 3.0 Z 7.0 + X3 R1 1.0 R2 -6.0 + X3 Z -1.0 + X4 R1 -1.0 R2 4.0 + X4 R3 1.0 Z 1.0 +RHS + RHS1 R1 1.0 + RHS1 R2 8.0 + RHS1 R3 5.0 +BOUNDS + UP BND1 X1 4.0 + LO BND1 X2 2.0 + UI BND1 X2 5.0 + BV BND1 X3 + LO BND1 X4 3.0 + UP BND1 X4 8.0 +ENDATA diff --git a/src/tests/util/lp/smt_reader.h b/src/tests/util/lp/smt_reader.h new file mode 100644 index 0000000000..87b06b204d --- /dev/null +++ b/src/tests/util/lp/smt_reader.h @@ -0,0 +1,382 @@ +/* + Copyright (c) 2013 Microsoft Corporation. All rights reserved. + Released under Apache 2.0 license as described in the file LICENSE. + + Author: Lev Nachmanson +*/ + +#pragma once + +// reads an MPS file reperesenting a Mixed Integer Program +#include +#include +#include +#include "util/lp/lp_primal_simplex.h" +#include "util/lp/lp_dual_simplex.h" +#include "util/lp/lar_solver.h" +#include +#include +#include +#include +#include +#include "tests/util/lp/mps_reader.h" +#include "util/lp/lar_constraints.h" +#include +#include +namespace lean { + using namespace std; + + template + T from_string(const std::string& str) { + std::istringstream ss(str); + T ret; + ss >> ret; + return ret; + } + + class smt_reader { + public: + struct lisp_elem { + string m_head; + vector m_elems; + void print() { + if (m_elems.size()) { + cout << '('; + cout << m_head << ' '; + for (auto & el : m_elems) + el.print(); + + cout << ')'; + } else { + cout << " " << m_head; + } + } + unsigned size() const { return m_elems.size(); } + bool is_simple() const { return size() == 0; } + }; + struct formula_constraint { + lconstraint_kind m_kind; + vector> m_coeffs; + mpq m_right_side = numeric_traits::zero(); + void add_pair(mpq c, string name) { + m_coeffs.push_back(make_pair(c, name)); + } + }; + + lisp_elem m_formula_lisp_elem; + + vector m_constraints; + string m_file_name; + ifstream m_file_stream; + string m_line; + bool m_is_OK = true; + unsigned m_line_number = 0; + + smt_reader(string file_name): + m_file_name(file_name), m_file_stream(file_name) { + } + + void set_error() { + cout << "setting error" << endl; + m_is_OK = false; + } + + bool is_ok() { + return m_is_OK; + } + + bool prefix(const char * pr) { + return m_line.find(pr) == 0; + } + + int first_separator() { + unsigned blank_pos = m_line.find(' '); + unsigned br_pos = m_line.find('('); + unsigned reverse_br_pos = m_line.find(')'); + return min(blank_pos, min(br_pos, reverse_br_pos)); + } + + void fill_lisp_elem(lisp_elem & lm) { + if (m_line[0] == '(') + fill_nested_elem(lm); + else + fill_simple_elem(lm); + } + + void fill_simple_elem(lisp_elem & lm) { + int separator = first_separator(); + lean_assert(-1 != separator && separator != 0); + lm.m_head = m_line.substr(0, separator); + m_line = m_line.substr(separator); + } + + void fill_nested_elem(lisp_elem & lm) { + lean_assert(m_line[0] == '('); + m_line = m_line.substr(1); + int separator = first_separator(); + lm.m_head = m_line.substr(0, separator); + m_line = m_line.substr(lm.m_head.size()); + eat_blanks(); + while (m_line.size()) { + if (m_line[0] == '(') { + lisp_elem el; + fill_nested_elem(el); + lm.m_elems.push_back(el); + } else { + if (m_line[0] == ')') { + m_line = m_line.substr(1); + break; + } + lisp_elem el; + fill_simple_elem(el); + lm.m_elems.push_back(el); + } + eat_blanks(); + } + } + + void eat_blanks() { + while (m_line.size()) { + if (m_line[0] == ' ') + m_line = m_line.substr(1); + else + break; + } + } + + void fill_formula_elem() { + fill_lisp_elem(m_formula_lisp_elem); + } + + void parse_line() { + if (m_line.find(":formula") == 0) { + int first_br = m_line.find('('); + if (first_br == -1) { + cout << "empty formula" << endl; + return; + } + m_line = m_line.substr(first_br); + fill_formula_elem(); + } + } + + void set_constraint_kind(formula_constraint & c, lisp_elem & el) { + if (el.m_head == "=") { + c.m_kind = EQ; + } else if (el.m_head == ">=") { + c.m_kind = GE; + } else if (el.m_head == "<=") { + c.m_kind = LE; + } else if (el.m_head == ">") { + c.m_kind = GT; + } else if (el.m_head == "<") { + c.m_kind = LT; + } else { + cout << "kind " << el.m_head << " is not supported " << endl; + set_error(); + } + } + + void adjust_rigth_side(formula_constraint & /* c*/, lisp_elem & /*el*/) { + // lean_assert(el.m_head == "0"); // do nothing for the time being + } + + void set_constraint_coeffs(formula_constraint & c, lisp_elem & el) { + lean_assert(el.m_elems.size() == 2); + set_constraint_coeffs_on_coeff_element(c, el.m_elems[0]); + adjust_rigth_side(c, el.m_elems[1]); + } + + + bool is_integer(string & s) { + if (s.size() == 0) return false; + return atoi(s.c_str()) != 0 || isdigit(s.c_str()[0]); + } + + void add_complex_sum_elem(formula_constraint & c, lisp_elem & el) { + if (el.m_head == "*") { + add_mult_elem(c, el.m_elems); + } else if (el.m_head == "~") { + lisp_elem & minel = el.m_elems[0]; + lean_assert(minel.is_simple()); + c.m_right_side += mpq(str_to_int(minel.m_head)); + } else { + cout << "unexpected input " << el.m_head << endl; + set_error(); + return; + } + } + + string get_name(lisp_elem & name) { + lean_assert(name.is_simple()); + lean_assert(!is_integer(name.m_head)); + return name.m_head; + } + + + void add_mult_elem(formula_constraint & c, vector & els) { + lean_assert(els.size() == 2); + mpq coeff = get_coeff(els[0]); + string col_name = get_name(els[1]); + c.add_pair(coeff, col_name); + } + + mpq get_coeff(lisp_elem & le) { + if (le.is_simple()) { + return mpq(str_to_int(le.m_head)); + } else { + lean_assert(le.m_head == "~"); + lean_assert(le.size() == 1); + lisp_elem & el = le.m_elems[0]; + lean_assert(el.is_simple()); + return -mpq(str_to_int(el.m_head)); + } + } + + int str_to_int(string & s) { + lean_assert(is_integer(s)); + return atoi(s.c_str()); + } + + void add_sum_elem(formula_constraint & c, lisp_elem & el) { + if (el.size()) { + add_complex_sum_elem(c, el); + } else { + lean_assert(is_integer(el.m_head)); + int v = atoi(el.m_head.c_str()); + mpq vr(v); + c.m_right_side -= vr; + } + } + + void add_sum(formula_constraint & c, vector & sum_els) { + for (auto & el : sum_els) + add_sum_elem(c, el); + } + + void set_constraint_coeffs_on_coeff_element(formula_constraint & c, lisp_elem & el) { + if (el.m_head == "*") { + add_mult_elem(c, el.m_elems); + } else if (el.m_head == "+") { + add_sum(c, el.m_elems); + } else { + lean_assert(false); // unexpected input + } + } + + void create_constraint(lisp_elem & el) { + formula_constraint c; + set_constraint_kind(c, el); + set_constraint_coeffs(c, el); + m_constraints.push_back(c); + } + + void fill_constraints() { + if (m_formula_lisp_elem.m_head != "and") { + cout << "unexpected top element " << m_formula_lisp_elem.m_head << endl; + set_error(); + return; + } + for (auto & el : m_formula_lisp_elem.m_elems) + create_constraint(el); + } + + void read() { + if (!m_file_stream.is_open()){ + cout << "cannot open file " << m_file_name << endl; + set_error(); + return; + } + while (m_is_OK && getline(m_file_stream, m_line)) { + parse_line(); + m_line_number++; + } + + m_file_stream.close(); + fill_constraints(); + } + + /* + void fill_lar_solver_on_row(row * row, lar_solver *solver) { + if (row->m_name != m_cost_row_name) { + lar_constraint c(get_lar_relation_from_row(row->m_type), row->m_right_side); + for (auto s : row->m_row_columns) { + var_index i = solver->add_var(s.first); + c.add_variable_to_constraint(i, s.second); + } + solver->add_constraint(&c); + } else { + // ignore the cost row + } + } + + + void fill_lar_solver_on_rows(lar_solver * solver) { + for (auto row_it : m_rows) { + fill_lar_solver_on_row(row_it.second, solver); + } + } + + void create_low_constraint_for_var(column* col, bound * b, lar_solver *solver) { + lar_constraint c(GE, b->m_low); + var_index i = solver->add_var(col->m_name); + c.add_variable_to_constraint(i, numeric_traits::one()); + solver->add_constraint(&c); + } + + void create_upper_constraint_for_var(column* col, bound * b, lar_solver *solver) { + lar_constraint c(LE, b->m_upper); + var_index i = solver->add_var(col->m_name); + c.add_variable_to_constraint(i, numeric_traits::one()); + solver->add_constraint(&c); + } + + void create_equality_contraint_for_var(column* col, bound * b, lar_solver *solver) { + lar_constraint c(EQ, b->m_fixed_value); + var_index i = solver->add_var(col->m_name); + c.add_variable_to_constraint(i, numeric_traits::one()); + solver->add_constraint(&c); + } + + void fill_lar_solver_on_columns(lar_solver * solver) { + for (auto s : m_columns) { + mps_reader::column * col = s.second; + solver->add_var(col->m_name); + auto b = col->m_bound; + if (b == nullptr) return; + + if (b->m_free) continue; + + if (b->m_low_is_set) { + create_low_constraint_for_var(col, b, solver); + } + if (b->m_upper_is_set) { + create_upper_constraint_for_var(col, b, solver); + } + if (b->m_value_is_fixed) { + create_equality_contraint_for_var(col, b, solver); + } + } + } +*/ + void add_constraint_to_solver(lar_solver * solver, formula_constraint & fc) { + buffer> ls; + for (auto & it : fc.m_coeffs) { + ls.push_back(make_pair(it.first, solver->add_var(it.second))); + } + solver->add_constraint(ls, fc.m_kind, fc.m_right_side); + } + + void fill_lar_solver(lar_solver * solver) { + for (formula_constraint & fc : m_constraints) + add_constraint_to_solver(solver, fc); + } + + + lar_solver * create_lar_solver() { + lar_solver * ls = new lar_solver(); + fill_lar_solver(ls); + return ls; + } + }; +} diff --git a/src/tests/util/lp/test_file_reader.h b/src/tests/util/lp/test_file_reader.h new file mode 100644 index 0000000000..8b5513a395 --- /dev/null +++ b/src/tests/util/lp/test_file_reader.h @@ -0,0 +1,74 @@ +/* +Copyright (c) 2013 Microsoft Corporation. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. + +Author: Lev Nachmanson +*/ +#pragma once + +// reads a text file +#include +#include +#include +#include +#include +#include +#include "util/lp/lp_solver.h" + +namespace lean { +using namespace std; + +template +struct test_result { + lp_status m_status; + T m_cost; + unordered_map column_values; +}; + +template +class test_file_reader { + struct raw_blob { + vector m_unparsed_strings; + vector m_blobs; + }; + + struct test_file_blob { + string m_name; + string m_content; + unordered_map m_table; + unordered_map m_blobs; + + test_result * get_test_result() { + test_result * tr = new test_result(); + throw "not impl"; + return tr; + } + }; + ifstream m_file_stream; +public: + // constructor + test_file_reader(string file_name) : m_file_stream(file_name) { + if (!m_file_stream.is_open()) { + cout << "cannot open file " << "\'" << file_name << "\'" << endl; + } + } + + raw_blob scan_to_row_blob() { + } + + test_file_blob scan_row_blob_to_test_file_blob(raw_blob rblob) { + } + + test_result * get_test_result() { + if (!m_file_stream.is_open()) { + return nullptr; + } + + raw_blob rblob = scan_to_row_blob(); + + test_file_blob tblob = scan_row_blob_to_test_file_blob(rblob); + + return tblob.get_test_result(); + } +}; +} diff --git a/src/tests/util/lp/test_files/acc-tight5.mps b/src/tests/util/lp/test_files/acc-tight5.mps new file mode 100644 index 0000000000..fcd1653bb6 --- /dev/null +++ b/src/tests/util/lp/test_files/acc-tight5.mps @@ -0,0 +1,23587 @@ +NAME acc-tight5 +ROWS + N r_0 + E r_1 + E r_2 + E r_3 + E r_4 + E r_5 + E r_6 + E r_7 + E r_8 + E r_9 + E r_10 + E r_11 + E r_12 + E r_13 + E r_14 + E r_15 + E r_16 + E r_17 + E r_18 + E r_19 + E r_20 + E r_21 + E r_22 + E r_23 + E r_24 + E r_25 + E r_26 + E r_27 + E r_28 + E r_29 + E r_30 + E r_31 + E r_32 + E r_33 + E r_34 + E r_35 + E r_36 + E r_37 + E r_38 + E r_39 + E r_40 + E r_41 + E r_42 + E r_43 + E r_44 + E r_45 + E r_46 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1 + v973 r_2172 1 + v973 r_2173 1 + v973 r_2256 1 + v973 r_2257 1 + v973 r_2258 1 + v974 r_109 1 + v974 r_176 1 + v974 r_1027 -1 + v974 r_1415 1 + v974 r_1803 -1 + v974 r_2171 1 + v974 r_2172 1 + v974 r_2173 1 + v974 r_2256 1 + v974 r_2257 1 + v974 r_2258 1 + v974 r_2913 1 + v974 r_2914 1 + v974 r_3025 1 + v974 r_3026 1 + v974 r_3027 1 + v975 r_109 1 + v975 r_191 1 + v975 r_1041 -1 + v975 r_1416 1 + v975 r_1811 -1 + v975 r_2171 1 + v975 r_2172 1 + v975 r_2173 1 + v975 r_2256 1 + v975 r_2257 1 + v975 r_2258 1 + v976 r_109 1 + v976 r_209 1 + v976 r_1058 -1 + v976 r_1417 1 + v976 r_1820 -1 + v976 r_2171 1 + v976 r_2172 1 + v976 r_2173 1 + v976 r_2256 1 + v976 r_2257 1 + v976 r_2258 1 + v977 r_109 1 + v977 r_227 1 + v977 r_1076 -1 + v977 r_1418 1 + v977 r_1829 -1 + v977 r_2171 1 + v977 r_2172 1 + v977 r_2173 1 + v977 r_2256 1 + v977 r_2257 1 + v977 r_2258 1 + v978 r_109 1 + v978 r_245 1 + v978 r_1094 -1 + v978 r_1419 1 + v978 r_1838 -1 + v978 r_2171 1 + v978 r_2172 1 + v978 r_2173 1 + v978 r_2256 1 + v978 r_2257 1 + v978 r_2258 1 + v978 r_2913 1 + v978 r_2914 1 + v978 r_3025 1 + v978 r_3026 1 + v978 r_3027 1 + v979 r_109 1 + v979 r_389 1 + v979 r_488 1 + v979 r_605 1 + v979 r_730 1 + v979 r_858 1 + v979 r_967 1 + v979 r_1239 1 + v979 r_2052 1 + v979 r_2368 1 + v979 r_2369 1 + v979 r_2370 1 + v979 r_2444 1 + v979 r_2445 1 + v979 r_2446 1 + v979 r_2548 -1 + v979 r_2549 -1 + v979 r_2550 -1 + v979 r_2551 -1 + v979 r_2618 -1 + v979 r_2619 -1 + v979 r_2620 -1 + v979 r_2621 -1 + v979 r_2719 1 + v979 r_2720 1 + v979 r_2721 1 + v979 r_2722 1 + v979 r_2723 1 + v979 r_2791 1 + v979 r_2792 1 + v979 r_2793 1 + v979 r_2794 1 + v979 r_2814 1 + v979 r_2830 1 + v980 r_109 1 + v980 r_279 1 + v980 r_1110 -1 + v980 r_1420 1 + v980 r_1846 -1 + v980 r_2171 1 + v980 r_2172 1 + v980 r_2173 1 + v980 r_2256 1 + v980 r_2257 1 + v980 r_2258 1 + v981 r_109 1 + v981 r_295 1 + v981 r_1421 1 + v981 r_1854 -1 + v981 r_2171 1 + v981 r_2172 1 + v981 r_2173 1 + v981 r_2256 1 + v981 r_2257 1 + v981 r_2258 1 + v981 r_3025 1 + v981 r_3026 1 + v981 r_3027 1 + v982 r_109 1 + v982 r_2013 -1 + v982 r_2027 1 + v982 r_2035 1 + v982 r_2719 1 + v982 r_2720 1 + v982 r_2721 1 + v982 r_2722 1 + v982 r_2723 1 + v982 r_2791 1 + v982 r_2792 1 + v982 r_2793 1 + v982 r_2794 1 + v982 r_2822 1 + v982 r_2830 1 + v983 r_110 1 + v983 r_160 1 + v983 r_1011 -1 + v983 r_1414 1 + v983 r_1796 -1 + v983 r_2172 1 + v983 r_2173 1 + v983 r_2174 1 + v984 r_110 1 + v984 r_192 1 + v984 r_1042 -1 + v984 r_1416 1 + v984 r_1812 -1 + v984 r_2172 1 + v984 r_2173 1 + v984 r_2174 1 + v985 r_110 1 + v985 r_210 1 + v985 r_1059 -1 + v985 r_1417 1 + v985 r_1821 -1 + v985 r_2172 1 + v985 r_2173 1 + v985 r_2174 1 + v986 r_110 1 + v986 r_228 1 + v986 r_1077 -1 + v986 r_1418 1 + v986 r_1830 -1 + v986 r_2172 1 + v986 r_2173 1 + v986 r_2174 1 + v987 r_110 1 + v987 r_390 1 + v987 r_606 1 + v987 r_731 1 + v987 r_859 1 + v987 r_1240 1 + v987 r_1347 1 + v987 r_2053 1 + v987 r_2369 1 + v987 r_2370 1 + v987 r_2371 1 + v987 r_2549 -1 + v987 r_2550 -1 + v987 r_2551 -1 + v987 r_2552 -1 + v987 r_2720 1 + v987 r_2721 1 + v987 r_2722 1 + v987 r_2723 1 + v987 r_2724 1 + v988 r_110 1 + v988 r_280 1 + v988 r_1111 -1 + v988 r_1420 1 + v988 r_1847 -1 + v988 r_2172 1 + v988 r_2173 1 + v988 r_2174 1 + v989 r_111 1 + v989 r_161 1 + v989 r_1012 -1 + v989 r_1414 1 + v989 r_1476 1 + v989 r_2173 1 + v989 r_2174 1 + v989 r_2175 1 + v989 r_2257 1 + v989 r_2258 1 + v989 r_2259 1 + v990 r_111 1 + v990 r_177 1 + v990 r_1028 -1 + v990 r_1415 1 + v990 r_1528 1 + v990 r_2173 1 + v990 r_2174 1 + v990 r_2175 1 + v990 r_2257 1 + v990 r_2258 1 + v990 r_2259 1 + v990 r_2915 1 + v990 r_2916 1 + v990 r_3027 1 + v990 r_3028 1 + v990 r_3029 1 + v991 r_111 1 + v991 r_193 1 + v991 r_1043 -1 + v991 r_1416 1 + v991 r_1584 1 + v991 r_2173 1 + v991 r_2174 1 + v991 r_2175 1 + v991 r_2257 1 + v991 r_2258 1 + v991 r_2259 1 + v992 r_111 1 + v992 r_211 1 + v992 r_1060 -1 + v992 r_1417 1 + v992 r_1644 1 + v992 r_2173 1 + v992 r_2174 1 + v992 r_2175 1 + v992 r_2257 1 + v992 r_2258 1 + v992 r_2259 1 + v993 r_111 1 + v993 r_229 1 + v993 r_1078 -1 + v993 r_1418 1 + v993 r_1710 1 + v993 r_2173 1 + v993 r_2174 1 + v993 r_2175 1 + v993 r_2257 1 + v993 r_2258 1 + v993 r_2259 1 + v994 r_111 1 + v994 r_246 1 + v994 r_1095 -1 + v994 r_1419 1 + v994 r_1767 1 + v994 r_2173 1 + v994 r_2174 1 + v994 r_2175 1 + v994 r_2257 1 + v994 r_2258 1 + v994 r_2259 1 + v994 r_2915 1 + v994 r_2916 1 + v994 r_3027 1 + v994 r_3028 1 + v994 r_3029 1 + v995 r_111 1 + v995 r_391 1 + v995 r_489 1 + v995 r_607 1 + v995 r_732 1 + v995 r_860 1 + v995 r_968 1 + v995 r_1241 1 + v995 r_1348 1 + v995 r_2054 1 + v995 r_2370 1 + v995 r_2371 1 + v995 r_2372 1 + v995 r_2445 1 + v995 r_2446 1 + v995 r_2447 1 + v995 r_2550 -1 + v995 r_2551 -1 + v995 r_2552 -1 + v995 r_2553 -1 + v995 r_2619 -1 + v995 r_2620 -1 + v995 r_2621 -1 + v995 r_2622 -1 + v995 r_2721 1 + v995 r_2722 1 + v995 r_2723 1 + v995 r_2724 1 + v995 r_2725 1 + v995 r_2792 1 + v995 r_2793 1 + v995 r_2794 1 + v995 r_2795 1 + v995 r_2814 1 + v996 r_111 1 + v996 r_281 1 + v996 r_1112 -1 + v996 r_1420 1 + v996 r_1908 1 + v996 r_2173 1 + v996 r_2174 1 + v996 r_2175 1 + v996 r_2257 1 + v996 r_2258 1 + v996 r_2259 1 + v997 r_111 1 + v997 r_296 1 + v997 r_1126 -1 + v997 r_1421 1 + v997 r_1962 1 + v997 r_2173 1 + v997 r_2174 1 + v997 r_2175 1 + v997 r_2257 1 + v997 r_2258 1 + v997 r_2259 1 + v997 r_3027 1 + v997 r_3028 1 + v997 r_3029 1 + v998 r_111 1 + v998 r_2009 1 + v998 r_2027 1 + v998 r_2037 1 + v998 r_2721 1 + v998 r_2722 1 + v998 r_2723 1 + v998 r_2724 1 + v998 r_2725 1 + v998 r_2792 1 + v998 r_2793 1 + v998 r_2794 1 + v998 r_2795 1 + v998 r_2822 1 + v999 r_112 1 + v999 r_162 1 + v999 r_1013 -1 + v999 r_1414 1 + v999 r_1477 1 + v999 r_2174 1 + v999 r_2175 1 + v999 r_2176 1 + MARK0001 'MARKER' 'INTEND' +RHS + RHS r_1 1 + RHS r_2 1 + RHS r_3 1 + RHS r_4 1 + RHS r_5 1 + RHS r_6 1 + RHS r_7 1 + RHS r_8 1 + RHS r_9 1 + RHS r_10 1 + RHS r_11 1 + RHS r_12 1 + RHS r_13 1 + RHS r_14 1 + RHS r_15 1 + RHS r_16 1 + RHS r_17 1 + RHS r_18 1 + RHS r_19 1 + RHS r_20 1 + RHS r_21 1 + RHS r_22 1 + RHS r_23 1 + RHS r_24 1 + RHS r_25 1 + RHS r_26 1 + RHS r_27 1 + RHS r_28 1 + RHS r_29 1 + RHS r_30 1 + RHS r_31 1 + RHS r_32 1 + RHS r_33 1 + RHS r_34 1 + RHS r_35 1 + RHS r_36 1 + RHS r_37 1 + RHS r_38 1 + RHS r_39 1 + RHS r_40 1 + RHS r_41 1 + RHS r_42 1 + RHS r_43 1 + RHS r_44 1 + RHS r_45 1 + RHS r_46 1 + RHS r_47 1 + RHS r_48 1 + RHS r_49 1 + RHS r_50 1 + RHS r_51 1 + RHS r_52 1 + RHS r_53 1 + RHS r_54 1 + RHS r_55 1 + RHS r_56 1 + RHS r_57 1 + RHS r_58 1 + RHS r_59 1 + RHS r_60 1 + RHS r_61 1 + RHS r_62 1 + RHS r_63 1 + RHS r_64 1 + RHS r_65 1 + RHS r_66 1 + RHS r_67 1 + RHS r_68 1 + RHS r_69 1 + RHS r_70 1 + RHS r_71 1 + RHS r_72 1 + RHS r_73 1 + RHS r_74 1 + RHS r_75 1 + RHS r_76 1 + RHS r_77 1 + RHS r_78 1 + RHS r_79 1 + RHS r_80 1 + RHS r_81 1 + RHS r_82 1 + RHS r_83 1 + RHS r_84 1 + RHS r_85 1 + RHS r_86 1 + RHS r_87 1 + RHS r_88 1 + RHS r_89 1 + RHS r_90 1 + RHS r_91 1 + RHS r_92 1 + RHS r_93 1 + RHS r_94 1 + RHS r_95 1 + RHS r_96 1 + RHS r_97 1 + RHS r_98 1 + RHS r_99 1 + RHS r_100 1 + RHS r_101 1 + RHS r_102 1 + RHS r_103 1 + RHS r_104 1 + RHS r_105 1 + RHS r_106 1 + RHS r_107 1 + RHS r_108 1 + RHS r_109 1 + RHS r_110 1 + RHS r_111 1 + RHS r_112 1 + RHS r_113 1 + RHS r_114 1 + RHS r_115 1 + RHS r_116 1 + RHS r_117 1 + RHS r_118 1 + RHS r_119 1 + RHS r_120 1 + RHS r_121 1 + RHS r_122 1 + RHS r_123 1 + RHS r_124 1 + RHS r_125 1 + RHS r_126 1 + RHS r_127 1 + RHS r_128 1 + RHS r_129 1 + RHS r_130 1 + RHS r_131 1 + RHS r_132 1 + RHS r_133 1 + RHS r_134 1 + RHS r_135 1 + RHS r_136 1 + RHS r_137 1 + RHS r_138 1 + RHS r_139 1 + RHS r_140 1 + RHS r_141 1 + RHS r_142 1 + RHS r_143 1 + RHS r_144 1 + RHS r_145 1 + RHS r_146 1 + RHS r_147 1 + RHS r_148 1 + RHS r_149 1 + RHS r_150 1 + RHS r_151 1 + RHS r_152 1 + RHS r_153 1 + RHS r_154 1 + RHS r_155 1 + RHS r_156 1 + RHS r_157 1 + RHS r_158 1 + RHS r_159 1 + RHS r_160 1 + RHS r_161 1 + RHS r_162 1 + RHS r_163 1 + RHS r_164 1 + RHS r_165 1 + RHS r_166 1 + RHS r_167 1 + RHS r_168 1 + RHS r_169 1 + RHS r_170 1 + RHS r_171 1 + RHS r_172 1 + RHS r_173 1 + RHS r_174 1 + RHS r_175 1 + RHS r_176 1 + RHS r_177 1 + RHS r_178 1 + RHS r_179 1 + RHS r_180 1 + RHS r_181 1 + RHS r_182 1 + RHS r_183 1 + RHS r_184 1 + RHS r_185 1 + RHS r_186 1 + RHS r_187 1 + RHS r_188 1 + RHS r_189 1 + RHS r_190 1 + RHS r_191 1 + RHS r_192 1 + RHS r_193 1 + RHS r_194 1 + RHS r_195 1 + RHS r_196 1 + RHS r_197 1 + RHS r_198 1 + RHS r_199 1 + RHS r_200 1 + RHS r_201 1 + RHS r_202 1 + RHS r_203 1 + RHS r_204 1 + RHS r_205 1 + RHS r_206 1 + RHS r_207 1 + RHS r_208 1 + RHS r_209 1 + RHS r_210 1 + RHS r_211 1 + RHS r_212 1 + RHS r_213 1 + RHS r_214 1 + RHS r_215 1 + RHS r_216 1 + RHS r_217 1 + RHS r_218 1 + RHS r_219 1 + RHS r_220 1 + RHS r_221 1 + RHS r_222 1 + RHS r_223 1 + RHS r_224 1 + RHS r_225 1 + RHS r_226 1 + RHS r_227 1 + RHS r_228 1 + RHS r_229 1 + RHS r_230 1 + RHS r_231 1 + RHS r_232 1 + RHS r_233 1 + RHS r_234 1 + RHS r_235 1 + RHS r_236 1 + RHS r_237 1 + RHS r_238 1 + RHS r_239 1 + RHS r_240 1 + RHS r_241 1 + RHS r_242 1 + RHS r_243 1 + RHS r_244 1 + RHS r_245 1 + RHS r_246 1 + RHS r_247 1 + RHS r_248 1 + RHS r_249 1 + RHS r_250 1 + RHS r_251 1 + RHS r_252 1 + RHS r_253 1 + RHS r_254 1 + RHS r_255 1 + RHS r_256 1 + RHS r_257 1 + RHS r_258 1 + RHS r_259 1 + RHS r_260 1 + RHS r_261 1 + RHS r_262 1 + RHS r_263 1 + RHS r_264 1 + RHS r_265 1 + RHS r_266 1 + RHS r_267 1 + RHS r_268 1 + RHS r_269 1 + RHS r_270 1 + RHS r_271 1 + RHS r_272 1 + RHS r_273 1 + RHS r_274 1 + RHS r_275 1 + RHS r_276 1 + RHS r_277 1 + RHS r_278 1 + RHS r_279 1 + RHS r_280 1 + RHS r_281 1 + RHS r_282 1 + RHS r_283 1 + RHS r_284 1 + RHS r_285 1 + RHS r_286 1 + RHS r_287 1 + RHS r_288 1 + RHS r_289 1 + RHS r_290 1 + RHS r_291 1 + RHS r_292 1 + RHS r_293 1 + RHS r_294 1 + RHS r_295 1 + RHS r_296 1 + RHS r_297 1 + RHS r_298 1 + RHS r_299 1 + RHS r_300 1 + RHS r_301 1 + RHS r_302 -0 + RHS r_303 -0 + RHS r_304 -0 + RHS r_305 -0 + RHS r_306 -0 + RHS r_307 -0 + RHS r_308 -0 + RHS r_309 -0 + RHS r_310 -0 + RHS r_311 -0 + RHS r_312 -0 + RHS r_313 -0 + RHS r_314 -0 + RHS r_315 -0 + RHS r_316 -0 + RHS r_317 -0 + RHS r_318 -0 + RHS r_319 -0 + RHS r_320 -0 + RHS r_321 -0 + RHS r_322 -0 + RHS r_323 -0 + RHS r_324 -0 + RHS r_325 -0 + RHS r_326 -0 + RHS r_327 -0 + RHS r_328 -0 + RHS r_329 -0 + RHS r_330 -0 + RHS r_331 -0 + RHS r_332 -0 + RHS r_333 -0 + RHS r_334 -0 + RHS r_335 -0 + RHS r_336 -0 + RHS r_337 -0 + RHS r_338 -0 + RHS r_339 -0 + RHS r_340 -0 + RHS r_341 -0 + RHS r_342 -0 + RHS r_343 -0 + RHS r_344 -0 + RHS r_345 -0 + RHS r_346 -0 + RHS r_347 -0 + RHS r_348 -0 + RHS r_349 -0 + RHS r_350 -0 + RHS r_351 -0 + RHS r_352 -0 + RHS r_353 -0 + RHS r_354 -0 + RHS r_355 -0 + RHS r_356 -0 + RHS r_357 -0 + RHS r_358 -0 + RHS r_359 -0 + RHS r_360 -0 + RHS r_361 -0 + RHS r_362 -0 + RHS r_363 -0 + RHS r_364 -0 + RHS r_365 -0 + RHS r_366 -0 + RHS r_367 -0 + RHS r_368 -0 + RHS r_369 -0 + RHS r_370 -0 + RHS r_371 -0 + RHS r_372 -0 + RHS r_373 -0 + RHS r_374 -0 + RHS r_375 -0 + RHS r_376 -0 + RHS r_377 -0 + RHS r_378 -0 + RHS r_379 -0 + RHS r_380 -0 + RHS r_381 -0 + RHS r_382 -0 + RHS r_383 -0 + RHS r_384 -0 + RHS r_385 -0 + RHS r_386 -0 + RHS r_387 -0 + RHS r_388 -0 + RHS r_389 -0 + RHS r_390 -0 + RHS r_391 -0 + RHS r_392 -0 + RHS r_393 -0 + RHS r_394 -0 + RHS r_395 -0 + RHS r_396 -0 + RHS r_397 -0 + RHS r_398 -0 + RHS r_399 -0 + RHS r_400 -0 + RHS r_401 -0 + RHS r_402 -0 + RHS r_403 -0 + RHS r_404 -0 + RHS r_405 -0 + RHS r_406 -0 + RHS r_407 -0 + RHS r_408 -0 + RHS r_409 -0 + RHS r_410 -0 + RHS r_411 -0 + RHS r_412 -0 + RHS r_413 -0 + RHS r_414 -0 + RHS r_415 -0 + RHS r_416 -0 + RHS r_417 -0 + RHS r_418 -0 + RHS r_419 -0 + RHS r_420 -0 + RHS r_421 -0 + RHS r_422 -0 + RHS r_423 -0 + RHS r_424 -0 + RHS r_425 -0 + RHS r_426 -0 + RHS r_427 -0 + RHS r_428 -0 + RHS r_429 -0 + RHS r_430 -0 + RHS r_431 -0 + RHS r_432 -0 + RHS r_433 -0 + RHS r_434 -0 + RHS r_435 -0 + RHS r_436 -0 + RHS r_437 -0 + RHS r_438 -0 + RHS r_439 -0 + RHS r_440 -0 + RHS r_441 -0 + RHS r_442 -0 + RHS r_443 -0 + RHS r_444 -0 + RHS r_445 -0 + RHS r_446 -0 + RHS r_447 -0 + RHS r_448 -0 + RHS r_449 -0 + RHS r_450 -0 + RHS r_451 -0 + RHS r_452 -0 + RHS r_453 -0 + RHS r_454 -0 + RHS r_455 -0 + RHS r_456 -0 + RHS r_457 -0 + RHS r_458 -0 + RHS r_459 -0 + RHS r_460 -0 + RHS r_461 -0 + RHS r_462 -0 + RHS r_463 -0 + RHS r_464 -0 + RHS r_465 -0 + RHS r_466 -0 + RHS r_467 -0 + RHS r_468 -0 + RHS r_469 -0 + RHS r_470 -0 + RHS r_471 -0 + RHS r_472 -0 + RHS r_473 -0 + RHS r_474 -0 + RHS r_475 -0 + RHS r_476 -0 + RHS r_477 -0 + RHS r_478 -0 + RHS r_479 -0 + RHS r_480 -0 + RHS r_481 -0 + RHS r_482 -0 + RHS r_483 -0 + RHS r_484 -0 + RHS r_485 -0 + RHS r_486 -0 + RHS r_487 -0 + RHS r_488 -0 + RHS r_489 -0 + RHS r_490 -0 + RHS r_491 -0 + RHS r_492 -0 + RHS r_493 -0 + RHS r_494 -0 + RHS r_495 -0 + RHS r_496 -0 + RHS r_497 -0 + RHS r_498 -0 + RHS r_499 -0 + RHS r_500 -0 + RHS r_501 -0 + RHS r_502 -0 + RHS r_503 -0 + RHS r_504 -0 + RHS r_505 -0 + RHS r_506 -0 + RHS r_507 -0 + RHS r_508 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r_1918 -0 + RHS r_1919 -0 + RHS r_1920 -0 + RHS r_1921 -0 + RHS r_1922 -0 + RHS r_1923 -0 + RHS r_1924 -0 + RHS r_1925 -0 + RHS r_1926 -0 + RHS r_1927 -0 + RHS r_1928 -0 + RHS r_1929 -0 + RHS r_1930 -0 + RHS r_1931 -0 + RHS r_1932 -0 + RHS r_1933 -0 + RHS r_1934 -0 + RHS r_1935 -0 + RHS r_1936 -0 + RHS r_1937 -0 + RHS r_1938 -0 + RHS r_1939 -0 + RHS r_1940 -0 + RHS r_1941 -0 + RHS r_1942 -0 + RHS r_1943 -0 + RHS r_1944 -0 + RHS r_1945 -0 + RHS r_1946 -0 + RHS r_1947 -0 + RHS r_1948 -0 + RHS r_1949 -0 + RHS r_1950 -0 + RHS r_1951 -0 + RHS r_1952 -0 + RHS r_1953 -0 + RHS r_1954 -0 + RHS r_1955 -0 + RHS r_1956 -0 + RHS r_1957 -0 + RHS r_1958 -0 + RHS r_1959 -0 + RHS r_1960 -0 + RHS r_1961 -0 + RHS r_1962 -0 + RHS r_1963 -0 + RHS r_1964 -0 + RHS r_1965 -0 + RHS r_1966 -0 + RHS r_1967 -0 + RHS r_1968 -0 + RHS r_1969 -0 + RHS r_1970 -0 + RHS r_1971 -0 + RHS r_1972 -0 + RHS r_1973 -0 + RHS r_1974 -0 + RHS r_1975 -0 + RHS r_1976 -0 + RHS r_1977 -0 + RHS r_1978 -0 + RHS r_1979 -0 + RHS r_1980 -0 + RHS r_1981 -0 + RHS r_1982 -0 + RHS r_1983 -0 + RHS r_1984 -0 + RHS r_1985 -0 + RHS r_1986 -0 + RHS r_1987 -0 + RHS r_1988 -0 + RHS r_1989 -0 + RHS r_1990 -0 + RHS r_1991 -0 + RHS r_1992 -0 + RHS r_1993 -0 + RHS r_1994 -0 + RHS r_1995 -0 + RHS r_1996 -0 + RHS r_1997 -0 + RHS r_1998 -0 + RHS r_1999 -0 + RHS r_2000 -0 + RHS r_2001 -0 + RHS r_2002 -0 + RHS r_2003 -0 + RHS r_2004 -0 + RHS r_2005 -0 + RHS r_2006 -0 + RHS r_2007 -0 + RHS r_2008 -0 + RHS r_2009 -0 + RHS r_2010 -0 + RHS r_2011 -0 + RHS r_2012 -0 + RHS r_2013 -0 + RHS r_2014 -0 + RHS r_2015 -0 + RHS r_2016 -0 + RHS r_2017 -0 + RHS r_2018 -0 + RHS r_2019 -0 + RHS r_2020 -0 + RHS r_2021 2 + RHS r_2022 0 + RHS r_2023 2 + RHS r_2024 2 + RHS r_2025 2 + RHS r_2026 2 + RHS r_2027 2 + RHS r_2028 2 + RHS r_2029 1 + RHS r_2030 1 + RHS r_2031 1 + RHS r_2032 1 + RHS r_2033 1 + RHS r_2034 1 + RHS r_2035 1 + RHS r_2036 1 + RHS r_2037 1 + RHS r_2038 1 + RHS r_2039 1 + RHS r_2040 1 + RHS r_2041 1 + RHS r_2042 1 + RHS r_2043 1 + RHS r_2044 4 + RHS r_2045 4 + RHS r_2046 4 + RHS r_2047 4 + RHS r_2048 4 + RHS r_2049 4 + RHS r_2050 4 + RHS r_2051 4 + RHS r_2052 3 + RHS r_2053 3 + RHS r_2054 4 + RHS r_2055 4 + RHS r_2056 4 + RHS r_2057 4 + RHS r_2058 4 + RHS r_2059 4 + RHS r_2060 2 + RHS r_2061 1 + RHS r_2062 1 + RHS r_2063 1 + RHS r_2064 1 + RHS r_2065 1 + RHS r_2066 1 + RHS r_2067 1 + RHS r_2068 2 + RHS r_2069 2 + RHS r_2070 2 + RHS r_2071 2 + RHS r_2072 2 + RHS r_2073 2 + RHS r_2074 2 + RHS r_2075 2 + RHS r_2076 2 + RHS r_2077 2 + RHS r_2078 2 + RHS r_2079 2 + RHS r_2080 2 + RHS r_2081 2 + RHS r_2082 2 + RHS r_2083 2 + RHS r_2084 2 + RHS r_2085 2 + RHS r_2086 2 + RHS r_2087 2 + RHS r_2088 2 + RHS r_2089 2 + RHS r_2090 2 + RHS r_2091 2 + RHS r_2092 1 + RHS r_2093 1 + RHS r_2094 1 + RHS r_2095 2 + RHS r_2096 2 + RHS r_2097 2 + RHS r_2098 2 + RHS r_2099 2 + RHS r_2100 2 + RHS r_2101 2 + RHS r_2102 2 + RHS r_2103 2 + RHS r_2104 2 + RHS r_2105 2 + RHS r_2106 2 + RHS r_2107 2 + RHS r_2108 2 + RHS r_2109 2 + RHS r_2110 2 + RHS r_2111 2 + RHS r_2112 2 + RHS r_2113 2 + RHS r_2114 2 + RHS r_2115 2 + RHS r_2116 2 + RHS r_2117 2 + RHS r_2118 2 + RHS r_2119 2 + RHS r_2120 2 + RHS r_2121 2 + RHS r_2122 2 + RHS r_2123 2 + RHS r_2124 2 + RHS r_2125 2 + RHS r_2126 2 + RHS r_2127 2 + RHS r_2128 2 + RHS r_2129 2 + RHS r_2130 2 + RHS r_2131 2 + RHS r_2132 2 + RHS r_2133 2 + RHS r_2134 2 + RHS r_2135 2 + RHS r_2136 2 + RHS r_2137 2 + RHS r_2138 2 + RHS r_2139 2 + RHS r_2140 2 + RHS r_2141 2 + RHS r_2142 2 + RHS r_2143 2 + RHS r_2144 2 + RHS r_2145 2 + RHS r_2146 2 + RHS r_2147 2 + RHS r_2148 2 + RHS r_2149 2 + RHS r_2150 2 + RHS r_2151 2 + RHS r_2152 2 + RHS r_2153 2 + RHS r_2154 2 + RHS r_2155 2 + RHS r_2156 2 + RHS r_2157 2 + RHS r_2158 2 + RHS r_2159 2 + RHS r_2160 2 + RHS r_2161 2 + RHS r_2162 2 + RHS r_2163 1 + RHS r_2164 2 + RHS r_2165 2 + RHS r_2166 2 + RHS r_2167 2 + RHS r_2168 2 + RHS r_2169 2 + RHS r_2170 2 + RHS r_2171 2 + RHS r_2172 2 + RHS r_2173 2 + RHS r_2174 2 + RHS r_2175 2 + RHS r_2176 2 + RHS r_2177 2 + RHS r_2178 2 + RHS r_2179 2 + RHS r_2180 2 + RHS r_2181 2 + RHS r_2182 2 + RHS r_2183 2 + RHS r_2184 2 + RHS r_2185 2 + RHS r_2186 2 + RHS r_2187 2 + RHS r_2188 2 + RHS r_2189 2 + RHS r_2190 2 + RHS r_2191 2 + RHS r_2192 2 + RHS r_2193 2 + RHS r_2194 2 + RHS r_2195 2 + RHS r_2196 2 + RHS r_2197 2 + RHS r_2198 2 + RHS r_2199 2 + RHS r_2200 2 + RHS r_2201 2 + RHS r_2202 2 + RHS r_2203 2 + RHS r_2204 2 + RHS r_2205 2 + RHS r_2206 2 + RHS r_2207 2 + RHS r_2208 2 + RHS r_2209 2 + RHS r_2210 2 + RHS r_2211 2 + RHS r_2212 2 + RHS r_2213 2 + RHS r_2214 2 + RHS r_2215 2 + RHS r_2216 2 + RHS r_2217 2 + RHS r_2218 2 + RHS r_2219 2 + RHS r_2220 2 + RHS r_2221 2 + RHS r_2222 2 + RHS r_2223 2 + RHS r_2224 2 + RHS r_2225 2 + RHS r_2226 2 + RHS r_2227 2 + RHS r_2228 2 + RHS r_2229 2 + RHS r_2230 2 + RHS r_2231 2 + RHS r_2232 2 + RHS r_2233 2 + RHS r_2234 2 + RHS r_2235 2 + RHS r_2236 2 + RHS r_2237 2 + RHS r_2238 2 + RHS r_2239 2 + RHS r_2240 2 + RHS r_2241 2 + RHS r_2242 2 + RHS r_2243 2 + RHS r_2244 2 + RHS r_2245 2 + RHS r_2246 2 + RHS r_2247 2 + RHS r_2248 2 + RHS r_2249 2 + RHS r_2250 2 + RHS r_2251 2 + RHS r_2252 2 + RHS r_2253 1 + RHS r_2254 2 + RHS r_2255 2 + RHS r_2256 2 + RHS r_2257 2 + RHS r_2258 2 + RHS r_2259 2 + RHS r_2260 2 + RHS r_2261 2 + RHS r_2262 2 + RHS r_2263 2 + RHS r_2264 2 + RHS r_2265 2 + RHS r_2266 2 + RHS r_2267 2 + RHS r_2268 2 + RHS r_2269 2 + RHS r_2270 2 + RHS r_2271 2 + RHS r_2272 2 + RHS r_2273 2 + RHS r_2274 2 + RHS r_2275 1 + RHS r_2276 2 + RHS r_2277 2 + RHS r_2278 2 + RHS r_2279 2 + RHS r_2280 2 + RHS r_2281 2 + RHS r_2282 2 + RHS r_2283 2 + RHS r_2284 2 + RHS r_2285 2 + RHS r_2286 2 + RHS r_2287 2 + RHS r_2288 2 + RHS r_2289 2 + RHS r_2290 2 + RHS r_2291 2 + RHS r_2292 2 + RHS r_2293 2 + RHS r_2294 2 + RHS r_2295 2 + RHS r_2296 2 + RHS r_2297 2 + RHS r_2298 1 + RHS r_2299 2 + RHS r_2300 2 + RHS r_2301 2 + RHS r_2302 2 + RHS r_2303 2 + RHS r_2304 2 + RHS r_2305 2 + RHS r_2306 2 + RHS r_2307 2 + RHS r_2308 2 + RHS r_2309 2 + RHS r_2310 2 + RHS r_2311 2 + RHS r_2312 2 + RHS r_2313 2 + RHS r_2314 1 + RHS r_2315 2 + RHS r_2316 2 + RHS r_2317 2 + RHS r_2318 2 + RHS r_2319 2 + RHS r_2320 2 + RHS r_2321 2 + RHS r_2322 2 + RHS r_2323 2 + RHS r_2324 2 + RHS r_2325 2 + RHS r_2326 2 + RHS r_2327 2 + RHS r_2328 2 + RHS r_2329 2 + RHS r_2330 2 + RHS r_2331 2 + RHS r_2332 2 + RHS r_2333 2 + RHS r_2334 2 + RHS r_2335 2 + RHS r_2336 2 + RHS r_2337 2 + RHS r_2338 2 + RHS r_2339 2 + RHS r_2340 2 + RHS r_2341 2 + RHS r_2342 2 + RHS r_2343 2 + RHS r_2344 2 + RHS r_2345 2 + RHS r_2346 2 + RHS r_2347 2 + RHS r_2348 2 + RHS r_2349 2 + RHS r_2350 2 + RHS r_2351 2 + RHS r_2352 2 + RHS r_2353 2 + RHS r_2354 1 + RHS r_2355 1 + RHS r_2356 1 + RHS r_2357 2 + RHS r_2358 2 + RHS r_2359 2 + RHS r_2360 2 + RHS r_2361 2 + RHS r_2362 2 + RHS r_2363 2 + RHS r_2364 2 + RHS r_2365 2 + RHS r_2366 2 + RHS r_2367 2 + RHS r_2368 2 + RHS r_2369 2 + RHS r_2370 2 + RHS r_2371 2 + RHS r_2372 2 + RHS r_2373 2 + RHS r_2374 2 + RHS r_2375 2 + RHS r_2376 2 + RHS r_2377 2 + RHS r_2378 2 + RHS r_2379 2 + RHS r_2380 2 + RHS r_2381 2 + RHS r_2382 2 + RHS r_2383 2 + RHS r_2384 2 + RHS r_2385 2 + RHS r_2386 2 + RHS r_2387 2 + RHS r_2388 2 + RHS r_2389 2 + RHS r_2390 2 + RHS r_2391 2 + RHS r_2392 2 + RHS r_2393 2 + RHS r_2394 2 + RHS r_2395 2 + RHS r_2396 2 + RHS r_2397 1 + RHS r_2398 1 + RHS r_2399 2 + RHS r_2400 2 + RHS r_2401 2 + RHS r_2402 2 + RHS r_2403 2 + RHS r_2404 2 + RHS r_2405 2 + RHS r_2406 2 + RHS r_2407 2 + RHS r_2408 2 + RHS r_2409 2 + RHS r_2410 2 + RHS r_2411 2 + RHS r_2412 2 + RHS r_2413 2 + RHS r_2414 2 + RHS r_2415 2 + RHS r_2416 2 + RHS r_2417 2 + RHS r_2418 2 + RHS r_2419 2 + RHS r_2420 2 + RHS r_2421 2 + RHS r_2422 2 + RHS r_2423 2 + RHS r_2424 2 + RHS r_2425 2 + RHS r_2426 2 + RHS r_2427 2 + RHS r_2428 2 + RHS r_2429 2 + RHS r_2430 2 + RHS r_2431 2 + RHS r_2432 2 + RHS r_2433 2 + RHS r_2434 2 + RHS r_2435 2 + RHS r_2436 2 + RHS r_2437 2 + RHS r_2438 2 + RHS r_2439 2 + RHS r_2440 2 + RHS r_2441 2 + RHS r_2442 2 + RHS r_2443 2 + RHS r_2444 2 + RHS r_2445 2 + RHS r_2446 2 + RHS r_2447 2 + RHS r_2448 2 + RHS r_2449 2 + RHS r_2450 2 + RHS r_2451 2 + RHS r_2452 2 + RHS r_2453 2 + RHS r_2454 2 + RHS r_2455 2 + RHS r_2456 2 + RHS r_2457 1 + RHS r_2458 2 + RHS r_2459 1 + RHS r_2460 -1 + RHS r_2461 -1 + RHS r_2462 -1 + RHS r_2463 -1 + RHS r_2464 -1 + RHS r_2465 -1 + RHS r_2466 -1 + RHS r_2467 -1 + RHS r_2468 -1 + RHS r_2469 -1 + RHS r_2470 -1 + RHS r_2471 -1 + RHS r_2472 -1 + RHS r_2473 -1 + RHS r_2474 -1 + RHS r_2475 -1 + RHS r_2476 -1 + RHS r_2477 -1 + RHS r_2478 -1 + RHS r_2479 -1 + RHS r_2480 -1 + RHS r_2481 -1 + RHS r_2482 -1 + RHS r_2483 -1 + RHS r_2484 -1 + RHS r_2485 -1 + RHS r_2486 -1 + RHS r_2487 -1 + RHS r_2488 -1 + RHS r_2489 -1 + RHS r_2490 -1 + RHS r_2491 -1 + RHS r_2492 -1 + RHS r_2493 -1 + RHS r_2494 -1 + RHS r_2495 -1 + RHS r_2496 -1 + RHS r_2497 -1 + RHS r_2498 -1 + RHS r_2499 -1 + RHS r_2500 -1 + RHS r_2501 -1 + RHS r_2502 -1 + RHS r_2503 -1 + RHS r_2504 -1 + RHS r_2505 -1 + RHS r_2506 -1 + RHS r_2507 -1 + RHS r_2508 -1 + RHS r_2509 -1 + RHS r_2510 -1 + RHS r_2511 -1 + RHS r_2512 -1 + RHS r_2513 -1 + RHS r_2514 -1 + RHS r_2515 -1 + RHS r_2516 -1 + RHS r_2517 -1 + RHS r_2518 -1 + RHS r_2519 -1 + RHS r_2520 -1 + RHS r_2521 -1 + RHS r_2522 -1 + RHS r_2523 -1 + RHS r_2524 -1 + RHS r_2525 -1 + RHS r_2526 -1 + RHS r_2527 -1 + RHS r_2528 -1 + RHS r_2529 -1 + RHS r_2530 -1 + RHS r_2531 -1 + RHS r_2532 -1 + RHS r_2533 -1 + RHS r_2534 -1 + RHS r_2535 -1 + RHS r_2536 -1 + RHS r_2537 -1 + RHS r_2538 -1 + RHS r_2539 -1 + RHS r_2540 -1 + RHS r_2541 -1 + RHS r_2542 -1 + RHS r_2543 -1 + RHS r_2544 -1 + RHS r_2545 -1 + RHS r_2546 -1 + RHS r_2547 -1 + RHS r_2548 -1 + RHS r_2549 -1 + RHS r_2550 -1 + RHS r_2551 -1 + RHS r_2552 -1 + RHS r_2553 -1 + RHS r_2554 -1 + RHS r_2555 -1 + RHS r_2556 -1 + RHS r_2557 -1 + RHS r_2558 -1 + RHS r_2559 -1 + RHS r_2560 -1 + RHS r_2561 -1 + RHS r_2562 -1 + RHS r_2563 -1 + RHS r_2564 -1 + RHS r_2565 -1 + RHS r_2566 -1 + RHS r_2567 -1 + RHS r_2568 -1 + RHS r_2569 -1 + RHS r_2570 -1 + RHS r_2571 -1 + RHS r_2572 -1 + RHS r_2573 -1 + RHS r_2574 -1 + RHS r_2575 -1 + RHS r_2576 -1 + RHS r_2577 -1 + RHS r_2578 -1 + RHS r_2579 -1 + RHS r_2580 -1 + RHS r_2581 -1 + RHS r_2582 -1 + RHS r_2583 -1 + RHS r_2584 -1 + RHS r_2585 -1 + RHS r_2586 -1 + RHS r_2587 -1 + RHS r_2588 -1 + RHS r_2589 -1 + RHS r_2590 -1 + RHS r_2591 -1 + RHS r_2592 -1 + RHS r_2593 -1 + RHS r_2594 -1 + RHS r_2595 -1 + RHS r_2596 -1 + RHS r_2597 -1 + RHS r_2598 -1 + RHS r_2599 -1 + RHS r_2600 -1 + RHS r_2601 -1 + RHS r_2602 -1 + RHS r_2603 -1 + RHS r_2604 -1 + RHS r_2605 -1 + RHS r_2606 -1 + RHS r_2607 -1 + RHS r_2608 -1 + RHS r_2609 -1 + RHS r_2610 -1 + RHS r_2611 -1 + RHS r_2612 -1 + RHS r_2613 -1 + RHS r_2614 -1 + RHS r_2615 -1 + RHS r_2616 -1 + RHS r_2617 -1 + RHS r_2618 -1 + RHS r_2619 -1 + RHS r_2620 -1 + RHS r_2621 -1 + RHS r_2622 -1 + RHS r_2623 -1 + RHS r_2624 -1 + RHS r_2625 -1 + RHS r_2626 -1 + RHS r_2627 -1 + RHS r_2628 -1 + RHS r_2629 -1 + RHS r_2630 3 + RHS r_2631 4 + RHS r_2632 4 + RHS r_2633 4 + RHS r_2634 4 + RHS r_2635 4 + RHS r_2636 4 + RHS r_2637 4 + RHS r_2638 4 + RHS r_2639 4 + RHS r_2640 4 + RHS r_2641 4 + RHS r_2642 4 + RHS r_2643 4 + RHS r_2644 4 + RHS r_2645 4 + RHS r_2646 3 + RHS r_2647 3 + RHS r_2648 3 + RHS r_2649 3 + RHS r_2650 3 + RHS r_2651 4 + RHS r_2652 4 + RHS r_2653 4 + RHS r_2654 4 + RHS r_2655 3 + RHS r_2656 3 + RHS r_2657 2 + RHS r_2658 3 + RHS r_2659 4 + RHS r_2660 4 + RHS r_2661 4 + RHS r_2662 4 + RHS r_2663 4 + RHS r_2664 4 + RHS r_2665 4 + RHS r_2666 4 + RHS r_2667 4 + RHS r_2668 4 + RHS r_2669 4 + RHS r_2670 4 + RHS r_2671 4 + RHS r_2672 3 + RHS r_2673 4 + RHS r_2674 4 + RHS r_2675 4 + RHS r_2676 4 + RHS r_2677 4 + RHS r_2678 4 + RHS r_2679 4 + RHS r_2680 4 + RHS r_2681 4 + RHS r_2682 4 + RHS r_2683 4 + RHS r_2684 4 + RHS r_2685 4 + RHS r_2686 4 + RHS r_2687 4 + RHS r_2688 4 + RHS r_2689 4 + RHS r_2690 4 + RHS r_2691 4 + RHS r_2692 4 + RHS r_2693 4 + RHS r_2694 4 + RHS r_2695 4 + RHS r_2696 4 + RHS r_2697 4 + RHS r_2698 4 + RHS r_2699 4 + RHS r_2700 4 + RHS r_2701 4 + RHS r_2702 4 + RHS r_2703 4 + RHS r_2704 4 + RHS r_2705 4 + RHS r_2706 3 + RHS r_2707 3 + RHS r_2708 3 + RHS r_2709 3 + RHS r_2710 3 + RHS r_2711 4 + RHS r_2712 4 + RHS r_2713 4 + RHS r_2714 4 + RHS r_2715 4 + RHS r_2716 4 + RHS r_2717 4 + RHS r_2718 4 + RHS r_2719 4 + RHS r_2720 4 + RHS r_2721 4 + RHS r_2722 4 + RHS r_2723 4 + RHS r_2724 4 + RHS r_2725 4 + RHS r_2726 4 + RHS r_2727 4 + RHS r_2728 4 + RHS r_2729 4 + RHS r_2730 4 + RHS r_2731 4 + RHS r_2732 4 + RHS r_2733 4 + RHS r_2734 4 + RHS r_2735 4 + RHS r_2736 4 + RHS r_2737 4 + RHS r_2738 4 + RHS r_2739 4 + RHS r_2740 4 + RHS r_2741 4 + RHS r_2742 3 + RHS r_2743 4 + RHS r_2744 4 + RHS r_2745 3 + RHS r_2746 3 + RHS r_2747 2 + RHS r_2748 2 + RHS r_2749 2 + RHS r_2750 3 + RHS r_2751 3 + RHS r_2752 4 + RHS r_2753 4 + RHS r_2754 3 + RHS r_2755 3 + RHS r_2756 3 + RHS r_2757 3 + RHS r_2758 3 + RHS r_2759 3 + RHS r_2760 3 + RHS r_2761 3 + RHS r_2762 3 + RHS r_2763 3 + RHS r_2764 2 + RHS r_2765 1 + RHS r_2766 3 + RHS r_2767 3 + RHS r_2768 3 + RHS r_2769 3 + RHS r_2770 3 + RHS r_2771 3 + RHS r_2772 3 + RHS r_2773 3 + RHS r_2774 3 + RHS r_2775 3 + RHS r_2776 3 + RHS r_2777 3 + RHS r_2778 3 + RHS r_2779 3 + RHS r_2780 3 + RHS r_2781 3 + RHS r_2782 3 + RHS r_2783 3 + RHS r_2784 3 + RHS r_2785 3 + RHS r_2786 3 + RHS r_2787 3 + RHS r_2788 3 + RHS r_2789 3 + RHS r_2790 3 + RHS r_2791 3 + RHS r_2792 3 + RHS r_2793 3 + RHS r_2794 3 + RHS r_2795 3 + RHS r_2796 3 + RHS r_2797 3 + RHS r_2798 3 + RHS r_2799 3 + RHS r_2800 3 + RHS r_2801 3 + RHS r_2802 2 + RHS r_2803 1 + RHS r_2804 1 + RHS r_2805 1 + RHS r_2806 2 + RHS r_2807 2 + RHS r_2808 4 + RHS r_2809 3 + RHS r_2810 4 + RHS r_2811 4 + RHS r_2812 4 + RHS r_2813 4 + RHS r_2814 4 + RHS r_2815 4 + RHS r_2816 2 + RHS r_2817 1 + RHS r_2818 1 + RHS r_2819 1 + RHS r_2820 1 + RHS r_2821 1 + RHS r_2822 1 + RHS r_2823 1 + RHS r_2824 2 + RHS r_2825 2 + RHS r_2826 2 + RHS r_2827 2 + RHS r_2828 2 + RHS r_2829 2 + RHS r_2830 2 + RHS r_2831 2 + RHS r_2832 2 + RHS r_2833 1 + RHS r_2834 1 + RHS r_2835 1 + RHS r_2836 1 + RHS r_2837 1 + RHS r_2838 1 + RHS r_2839 1 + RHS r_2840 1 + RHS r_2841 1 + RHS r_2842 1 + RHS r_2843 1 + RHS r_2844 1 + RHS r_2845 1 + RHS r_2846 1 + RHS r_2847 1 + RHS r_2848 1 + RHS r_2849 1 + RHS r_2850 1 + RHS r_2851 1 + RHS r_2852 1 + RHS r_2853 1 + RHS r_2854 1 + RHS r_2855 1 + RHS r_2856 1 + RHS r_2857 1 + RHS r_2858 1 + RHS r_2859 1 + RHS r_2860 1 + RHS r_2861 1 + RHS r_2862 1 + RHS r_2863 1 + RHS r_2864 1 + RHS r_2865 1 + RHS r_2866 1 + RHS r_2867 1 + RHS r_2868 1 + RHS r_2869 1 + RHS r_2870 1 + RHS r_2871 1 + RHS r_2872 1 + RHS r_2873 1 + RHS r_2874 1 + RHS r_2875 1 + RHS r_2876 1 + RHS r_2877 1 + RHS r_2878 1 + RHS r_2879 1 + RHS r_2880 1 + RHS r_2881 1 + RHS r_2882 1 + RHS r_2883 1 + RHS r_2884 1 + RHS r_2885 1 + RHS r_2886 1 + RHS r_2887 1 + RHS r_2888 1 + RHS r_2889 1 + RHS r_2890 1 + RHS r_2891 1 + RHS r_2892 1 + RHS r_2893 1 + RHS r_2894 1 + RHS r_2895 1 + RHS r_2896 1 + RHS r_2897 1 + RHS r_2898 1 + RHS r_2899 1 + RHS r_2900 1 + RHS r_2901 1 + RHS r_2902 1 + RHS r_2903 1 + RHS r_2904 1 + RHS r_2905 1 + RHS r_2906 1 + RHS r_2907 1 + RHS r_2908 1 + RHS r_2909 1 + RHS r_2910 1 + RHS r_2911 1 + RHS r_2912 1 + RHS r_2913 1 + RHS r_2914 1 + RHS r_2915 1 + RHS r_2916 1 + RHS r_2917 1 + RHS r_2918 1 + RHS r_2919 1 + RHS r_2920 1 + RHS r_2921 1 + RHS r_2922 1 + RHS r_2923 1 + RHS r_2924 1 + RHS r_2925 1 + RHS r_2926 1 + RHS r_2927 1 + RHS r_2928 1 + RHS r_2929 1 + RHS r_2930 1 + RHS r_2931 1 + RHS r_2932 1 + RHS r_2933 1 + RHS r_2934 1 + RHS r_2935 1 + RHS r_2936 1 + RHS r_2937 1 + RHS r_2938 1 + RHS r_2939 1 + RHS r_2940 1 + RHS r_2941 1 + RHS r_2942 1 + RHS r_2943 1 + RHS r_2944 1 + RHS r_2945 1 + RHS r_2946 1 + RHS r_2947 1 + RHS r_2948 1 + RHS r_2949 1 + RHS r_2950 1 + RHS r_2951 1 + RHS r_2952 1 + RHS r_2953 1 + RHS r_2954 2 + RHS r_2955 2 + RHS r_2956 2 + RHS r_2957 2 + RHS r_2958 2 + RHS r_2959 2 + RHS r_2960 2 + RHS r_2961 2 + RHS r_2962 2 + RHS r_2963 2 + RHS r_2964 2 + RHS r_2965 2 + RHS r_2966 2 + RHS r_2967 2 + RHS r_2968 2 + RHS r_2969 2 + RHS r_2970 2 + RHS r_2971 2 + RHS r_2972 2 + RHS r_2973 2 + RHS r_2974 2 + RHS r_2975 2 + RHS r_2976 2 + RHS r_2977 2 + RHS r_2978 2 + RHS r_2979 2 + RHS r_2980 2 + RHS r_2981 2 + RHS r_2982 2 + RHS r_2983 2 + RHS r_2984 2 + RHS r_2985 2 + RHS r_2986 2 + RHS r_2987 2 + RHS r_2988 2 + RHS r_2989 2 + RHS r_2990 2 + RHS r_2991 2 + RHS r_2992 2 + RHS r_2993 2 + RHS r_2994 2 + RHS r_2995 2 + RHS r_2996 2 + RHS r_2997 2 + RHS r_2998 2 + RHS r_2999 2 + RHS r_3000 2 + RHS r_3001 2 + RHS r_3002 2 + RHS r_3003 2 + RHS r_3004 2 + RHS r_3005 2 + RHS r_3006 2 + RHS r_3007 2 + RHS r_3008 2 + RHS r_3009 2 + RHS r_3010 2 + RHS r_3011 2 + RHS r_3012 2 + RHS r_3013 2 + RHS r_3014 2 + RHS r_3015 2 + RHS r_3016 2 + RHS r_3017 2 + RHS r_3018 2 + RHS r_3019 2 + RHS r_3020 2 + RHS r_3021 2 + RHS r_3022 2 + RHS r_3023 2 + RHS r_3024 2 + RHS r_3025 2 + RHS r_3026 2 + RHS r_3027 2 + RHS r_3028 2 + RHS r_3029 2 + RHS r_3030 2 + RHS r_3031 2 + RHS r_3032 2 + RHS r_3033 2 + RHS r_3034 2 + RHS r_3035 2 + RHS r_3036 2 + RHS r_3037 2 + RHS r_3038 2 + RHS r_3039 2 + RHS r_3040 2 + RHS r_3041 2 + RHS r_3042 2 + RHS r_3043 2 + RHS r_3044 2 + RHS r_3045 2 + RHS r_3046 2 + RHS r_3047 2 + RHS r_3048 2 + RHS r_3049 2 + RHS r_3050 1 + RHS r_3051 1 + RHS r_3052 1 +BOUNDS + UP BND v10 1 + UP BND v11 1 + UP BND v12 1 + UP BND v13 1 + UP BND v14 1 + UP BND v15 1 + UP BND v16 1 + UP BND v17 1 + UP BND v18 1 + UP BND v19 1 + UP BND v20 1 + UP BND v21 1 + UP BND v22 1 + UP BND v23 1 + UP BND v24 1 + UP BND v25 1 + UP BND v26 1 + UP BND v27 1 + UP BND v28 1 + UP BND v29 1 + UP BND v30 1 + UP BND v31 1 + UP BND v32 1 + UP BND v33 1 + UP BND v34 1 + UP BND v35 1 + UP BND v36 1 + UP BND v37 1 + UP BND v38 1 + UP BND v39 1 + UP BND v40 1 + UP BND v41 1 + UP BND v42 1 + UP BND v43 1 + UP BND v44 1 + UP BND v45 1 + UP BND v46 1 + UP BND v47 1 + UP BND v48 1 + UP BND v49 1 + UP BND v50 1 + UP BND v51 1 + UP BND v52 1 + UP BND v53 1 + UP BND v54 1 + UP BND v55 1 + UP BND v56 1 + UP BND v57 1 + UP BND v58 1 + UP BND v59 1 + UP BND v60 1 + UP BND v61 1 + UP BND v62 1 + UP BND v63 1 + UP BND v64 1 + UP BND v65 1 + UP BND v66 1 + UP BND v67 1 + UP BND v68 1 + UP BND v69 1 + UP BND v70 1 + UP BND v71 1 + UP BND v72 1 + UP BND v73 1 + UP BND v74 1 + UP BND v75 1 + UP BND v76 1 + UP BND v77 1 + UP BND v78 1 + UP BND v79 1 + UP BND v80 1 + UP BND v81 1 + UP BND v82 1 + UP BND v83 1 + UP BND v84 1 + UP BND v85 1 + UP BND v86 1 + UP BND v87 1 + UP BND v88 1 + UP BND v89 1 + UP BND v90 1 + UP BND v91 1 + UP BND v92 1 + UP BND v93 1 + UP BND v94 1 + UP BND v95 1 + UP BND v96 1 + UP BND v97 1 + UP BND v98 1 + UP BND v99 1 + UP BND v1000 1 + UP BND v1001 1 + UP BND v1002 1 + UP BND v1003 1 + UP BND v1004 1 + UP BND v1005 1 + UP BND v1006 1 + UP BND v1007 1 + UP BND v1008 1 + UP BND v1009 1 + UP BND v1010 1 + UP BND v1011 1 + UP BND v1012 1 + UP BND v1013 1 + UP BND v1014 1 + UP BND v1015 1 + UP BND v1016 1 + UP BND v1017 1 + UP BND v1018 1 + UP BND v1019 1 + UP BND v1020 1 + UP BND v1021 1 + UP BND v1022 1 + UP BND v1023 1 + UP BND v1024 1 + UP BND v1025 1 + UP BND v1026 1 + UP BND v1027 1 + UP BND v1028 1 + UP BND v1029 1 + UP BND v1030 1 + UP BND v1031 1 + UP BND v1032 1 + UP BND v1033 1 + UP BND v1034 1 + UP BND v1035 1 + UP BND v1036 1 + UP BND v1037 1 + UP BND v1038 1 + UP BND v1039 1 + UP BND v1040 1 + UP BND v1041 1 + UP BND v1042 1 + UP BND v1043 1 + UP BND v1044 1 + UP BND v1045 1 + UP BND v1046 1 + UP BND v1047 1 + UP BND v1048 1 + UP BND v1049 1 + UP BND v1050 1 + UP BND v1051 1 + UP BND v1052 1 + UP BND v1053 1 + UP BND v1054 1 + UP BND v1055 1 + UP BND v1056 1 + UP BND v1057 1 + UP BND v1058 1 + UP BND v1059 1 + UP BND v1060 1 + UP BND v1061 1 + UP BND v1062 1 + UP BND v1063 1 + UP BND v1064 1 + UP BND v1065 1 + UP BND v1066 1 + UP BND v1067 1 + UP BND v1068 1 + UP BND v1069 1 + UP BND v1070 1 + UP BND v1071 1 + UP BND v1072 1 + UP BND v1073 1 + UP BND v1074 1 + UP BND v1075 1 + UP BND v1076 1 + UP BND v1077 1 + UP BND v1078 1 + UP BND v1079 1 + UP BND v1080 1 + UP BND v1081 1 + UP BND v1082 1 + UP BND v1083 1 + UP BND v1084 1 + UP BND v1085 1 + UP BND v1086 1 + UP BND v1087 1 + UP BND v1088 1 + UP BND v1089 1 + UP BND v1090 1 + UP BND v1091 1 + UP BND v1092 1 + UP BND v1093 1 + UP BND v1094 1 + UP BND v1095 1 + UP BND v1096 1 + UP BND v1097 1 + UP BND v1098 1 + UP BND v1099 1 + UP BND v1100 1 + UP BND v1101 1 + UP BND v1102 1 + UP BND v1103 1 + UP BND v1104 1 + UP BND v1105 1 + UP BND v1106 1 + UP BND v1107 1 + UP BND v1108 1 + UP BND v1109 1 + UP BND v1110 1 + UP BND v1111 1 + UP BND v1112 1 + UP BND v1113 1 + UP BND v1114 1 + UP BND v1115 1 + UP BND v1116 1 + UP BND v1117 1 + UP BND v1118 1 + UP BND v1119 1 + UP BND v1120 1 + UP BND v1121 1 + UP BND v1122 1 + UP BND v1123 1 + UP BND v1124 1 + UP BND v1125 1 + UP BND v1126 1 + UP BND v1127 1 + UP BND v1128 1 + UP BND v1129 1 + UP BND v1130 1 + UP BND v1131 1 + UP BND v1132 1 + UP BND v1133 1 + UP BND v1134 1 + UP BND v1135 1 + UP BND v1136 1 + UP BND v1137 1 + UP BND v1138 1 + UP BND v1139 1 + UP BND v1140 1 + UP BND v1141 1 + UP BND v1142 1 + UP BND v1143 1 + UP BND v1144 1 + UP BND v1145 1 + UP BND v1146 1 + UP BND v1147 1 + UP BND v1148 1 + UP BND v1149 1 + UP BND v1150 1 + UP BND v1151 1 + UP BND v1152 1 + UP BND v1153 1 + UP BND v1154 1 + UP BND v1155 1 + UP BND v1156 1 + UP BND v1157 1 + UP BND v1158 1 + UP BND v1159 1 + UP BND v1160 1 + UP BND v1161 1 + UP BND v1162 1 + UP BND v1163 1 + UP BND v1164 1 + UP BND v1165 1 + UP BND v1166 1 + UP BND v1167 1 + UP BND v1168 1 + UP BND v1169 1 + UP BND v1170 1 + UP BND v1171 1 + UP BND v1172 1 + UP BND v1173 1 + UP BND v1174 1 + UP BND v1175 1 + UP BND v1176 1 + UP BND v1177 1 + UP BND v1178 1 + UP BND v1179 1 + UP BND v1180 1 + UP BND v1181 1 + UP BND v1182 1 + UP BND v1183 1 + UP BND v1184 1 + UP BND v1185 1 + UP BND v1186 1 + UP BND v1187 1 + UP BND v1188 1 + UP BND v1189 1 + UP BND v1190 1 + UP BND v1191 1 + UP BND v1192 1 + UP BND v1193 1 + UP BND v1194 1 + UP BND v1195 1 + UP BND v1196 1 + UP BND v1197 1 + UP BND v1198 1 + UP BND v1199 1 + UP BND v1 1 + UP BND v2 1 + UP BND v3 1 + UP BND v4 1 + UP BND v5 1 + UP BND v6 1 + UP BND v7 1 + UP BND v8 1 + UP BND v9 1 + UP BND v1200 1 + UP BND v1201 1 + UP BND v1202 1 + UP BND v1203 1 + UP BND v1204 1 + UP BND v1205 1 + UP BND v1206 1 + UP BND v1207 1 + UP BND v1208 1 + UP BND v1209 1 + UP BND v1210 1 + UP BND v1211 1 + UP BND v1212 1 + UP BND v1213 1 + UP BND v1214 1 + UP BND v1215 1 + UP BND v1216 1 + UP BND v1217 1 + UP BND v1218 1 + UP BND v1219 1 + UP BND v1220 1 + UP BND v1221 1 + UP BND v1222 1 + UP BND v1223 1 + UP BND v1224 1 + UP BND v1225 1 + UP BND v1226 1 + UP BND v1227 1 + UP BND v1228 1 + UP BND v1229 1 + UP BND v1230 1 + UP BND v1231 1 + UP BND v1232 1 + UP BND v1233 1 + UP BND v1234 1 + UP BND v1235 1 + UP BND v1236 1 + UP BND v1237 1 + UP BND v1238 1 + UP BND v1239 1 + UP BND v1240 1 + UP BND v1241 1 + UP BND v1242 1 + UP BND v1243 1 + UP BND v1244 1 + UP BND v1245 1 + UP BND v1246 1 + UP BND v1247 1 + UP BND v1248 1 + UP BND v1249 1 + UP BND v1250 1 + UP BND v1251 1 + UP BND v1252 1 + UP BND v1253 1 + UP BND v1254 1 + UP BND v1255 1 + UP BND v1256 1 + UP BND v1257 1 + UP BND v1258 1 + UP BND v1259 1 + UP BND v1260 1 + UP BND v1261 1 + UP BND v1262 1 + UP BND v1263 1 + UP BND v1264 1 + UP BND v1265 1 + UP BND v1266 1 + UP BND v1267 1 + UP BND v1268 1 + UP BND v1269 1 + UP BND v1270 1 + UP BND v1271 1 + UP BND v1272 1 + UP BND v1273 1 + UP BND v1274 1 + UP BND v1275 1 + UP BND v1276 1 + UP BND v1277 1 + UP BND v1278 1 + UP BND v1279 1 + UP BND v1280 1 + UP BND v1281 1 + UP BND v1282 1 + UP BND v1283 1 + UP BND v1284 1 + UP BND v1285 1 + UP BND v1286 1 + UP BND v1287 1 + UP BND v1288 1 + UP BND v1289 1 + UP BND v1290 1 + UP BND v1291 1 + UP BND v1292 1 + UP BND v1293 1 + UP BND v1294 1 + UP BND v1295 1 + UP BND v1296 1 + UP BND v1297 1 + UP BND v1298 1 + UP BND v1299 1 + UP BND v1300 1 + UP BND v1301 1 + UP BND v1302 1 + UP BND v1303 1 + UP BND v1304 1 + UP BND v1305 1 + UP BND v1306 1 + UP BND v1307 1 + UP BND v1308 1 + UP BND v1309 1 + UP BND v1310 1 + UP BND v1311 1 + UP BND v1312 1 + UP BND v1313 1 + UP BND v1314 1 + UP BND v1315 1 + UP BND v1316 1 + UP BND v1317 1 + UP BND v1318 1 + UP BND v1319 1 + UP BND v1320 1 + UP BND v1321 1 + UP BND v1322 1 + UP BND v1323 1 + UP BND v1324 1 + UP BND v1325 1 + UP BND v1326 1 + UP BND v1327 1 + UP BND v1328 1 + UP BND v1329 1 + UP BND v1330 1 + UP BND v1331 1 + UP BND v1332 1 + UP BND v1333 1 + UP BND v1334 1 + UP BND v1335 1 + UP BND v1336 1 + UP BND v1337 1 + UP BND v1338 1 + UP BND v1339 1 + UP BND v100 1 + UP BND v101 1 + UP BND v102 1 + UP BND v103 1 + UP BND v104 1 + UP BND v105 1 + UP BND v106 1 + UP BND v107 1 + UP BND v108 1 + UP BND v109 1 + UP BND v110 1 + UP BND v111 1 + UP BND v112 1 + UP BND v113 1 + UP BND v114 1 + UP BND v115 1 + UP BND v116 1 + UP BND v117 1 + UP BND v118 1 + UP BND v119 1 + UP BND v120 1 + UP BND v121 1 + UP BND v122 1 + UP BND v123 1 + UP BND v124 1 + UP BND v125 1 + UP BND v126 1 + UP BND v127 1 + UP BND v128 1 + UP BND v129 1 + UP BND v130 1 + UP BND v131 1 + UP BND v132 1 + UP BND v133 1 + UP BND v134 1 + UP BND v135 1 + UP BND v136 1 + UP BND v137 1 + UP BND v138 1 + UP BND v139 1 + UP BND v140 1 + UP BND v141 1 + UP BND v142 1 + UP BND v143 1 + UP BND v144 1 + UP BND v145 1 + UP BND v146 1 + UP BND v147 1 + UP BND v148 1 + UP BND v149 1 + UP BND v150 1 + UP BND v151 1 + UP BND v152 1 + UP BND v153 1 + UP BND v154 1 + UP BND v155 1 + UP BND v156 1 + UP BND v157 1 + UP BND v158 1 + UP BND v159 1 + UP BND v160 1 + UP BND v161 1 + UP BND v162 1 + UP BND v163 1 + UP BND v164 1 + UP BND v165 1 + UP BND v166 1 + UP BND v167 1 + UP BND v168 1 + UP BND v169 1 + UP BND v170 1 + UP BND v171 1 + UP BND v172 1 + UP BND v173 1 + UP BND v174 1 + UP BND v175 1 + UP BND v176 1 + UP BND v177 1 + UP BND v178 1 + UP BND v179 1 + UP BND v180 1 + UP BND v181 1 + UP BND v182 1 + UP BND v183 1 + UP BND v184 1 + UP BND v185 1 + UP BND v186 1 + UP BND v187 1 + UP BND v188 1 + UP BND v189 1 + UP BND v190 1 + UP BND v191 1 + UP BND v192 1 + UP BND v193 1 + UP BND v194 1 + UP BND v195 1 + UP BND v196 1 + UP BND v197 1 + UP BND v198 1 + UP BND v199 1 + UP BND v200 1 + UP BND v201 1 + UP BND v202 1 + UP BND v203 1 + UP BND v204 1 + UP BND v205 1 + UP BND v206 1 + UP BND v207 1 + UP BND v208 1 + UP BND v209 1 + UP BND v210 1 + UP BND v211 1 + UP BND v212 1 + UP BND v213 1 + UP BND v214 1 + UP BND v215 1 + UP BND v216 1 + UP BND v217 1 + UP BND v218 1 + UP BND v219 1 + UP BND v220 1 + UP BND v221 1 + UP BND v222 1 + UP BND v223 1 + UP BND v224 1 + UP BND v225 1 + UP BND v226 1 + UP BND v227 1 + UP BND v228 1 + UP BND v229 1 + UP BND v230 1 + UP BND v231 1 + UP BND v232 1 + UP BND v233 1 + UP BND v234 1 + UP BND v235 1 + UP BND v236 1 + UP BND v237 1 + UP BND v238 1 + UP BND v239 1 + UP BND v240 1 + UP BND v241 1 + UP BND v242 1 + UP BND v243 1 + UP BND v244 1 + UP BND v245 1 + UP BND v246 1 + UP BND v247 1 + UP BND v248 1 + UP BND v249 1 + UP BND v250 1 + UP BND v251 1 + UP BND v252 1 + UP BND v253 1 + UP BND v254 1 + UP BND v255 1 + UP BND v256 1 + UP BND v257 1 + UP BND v258 1 + UP BND v259 1 + UP BND v260 1 + UP BND v261 1 + UP BND v262 1 + UP BND v263 1 + UP BND v264 1 + UP BND v265 1 + UP BND v266 1 + UP BND v267 1 + UP BND v268 1 + UP BND v269 1 + UP BND v270 1 + UP BND v271 1 + UP BND v272 1 + UP BND v273 1 + UP BND v274 1 + UP BND v275 1 + UP BND v276 1 + UP BND v277 1 + UP BND v278 1 + UP BND v279 1 + UP BND v280 1 + UP BND v281 1 + UP BND v282 1 + UP BND v283 1 + UP BND v284 1 + UP BND v285 1 + UP BND v286 1 + UP BND v287 1 + UP BND v288 1 + UP BND v289 1 + UP BND v290 1 + UP BND v291 1 + UP BND v292 1 + UP BND v293 1 + UP BND v294 1 + UP BND v295 1 + UP BND v296 1 + UP BND v297 1 + UP BND v298 1 + UP BND v299 1 + UP BND v300 1 + UP BND v301 1 + UP BND v302 1 + UP BND v303 1 + UP BND v304 1 + UP BND v305 1 + UP BND v306 1 + UP BND v307 1 + UP BND v308 1 + UP BND v309 1 + UP BND v310 1 + UP BND v311 1 + UP BND v312 1 + UP BND v313 1 + UP BND v314 1 + 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v377 1 + UP BND v378 1 + UP BND v379 1 + UP BND v380 1 + UP BND v381 1 + UP BND v382 1 + UP BND v383 1 + UP BND v384 1 + UP BND v385 1 + UP BND v386 1 + UP BND v387 1 + UP BND v388 1 + UP BND v389 1 + UP BND v390 1 + UP BND v391 1 + UP BND v392 1 + UP BND v393 1 + UP BND v394 1 + UP BND v395 1 + UP BND v396 1 + UP BND v397 1 + UP BND v398 1 + UP BND v399 1 + UP BND v400 1 + UP BND v401 1 + UP BND v402 1 + UP BND v403 1 + UP BND v404 1 + UP BND v405 1 + UP BND v406 1 + UP BND v407 1 + UP BND v408 1 + UP BND v409 1 + UP BND v410 1 + UP BND v411 1 + UP BND v412 1 + UP BND v413 1 + UP BND v414 1 + UP BND v415 1 + UP BND v416 1 + UP BND v417 1 + UP BND v418 1 + UP BND v419 1 + UP BND v420 1 + UP BND v421 1 + UP BND v422 1 + UP BND v423 1 + UP BND v424 1 + UP BND v425 1 + UP BND v426 1 + UP BND v427 1 + UP BND v428 1 + UP BND v429 1 + UP BND v430 1 + UP BND v431 1 + UP BND v432 1 + UP BND v433 1 + UP BND v434 1 + UP BND v435 1 + UP BND v436 1 + UP BND v437 1 + UP BND v438 1 + UP BND v439 1 + 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