+++ /dev/null
-/* A few tests for the maxmin library */
-
-/* Copyright (c) 2007-2017. The SimGrid Team.
- * All rights reserved. */
-
-/* This program is free software; you can redistribute it and/or modify it
- * under the terms of the license (GNU LGPL) which comes with this package. */
-
-#include "simgrid/msg.h"
-#include "src/surf/surf_interface.hpp"
-#include "surf/maxmin.hpp"
-#include "xbt/log.h"
-#include "xbt/module.h"
-#include "xbt/sysdep.h"
-#include <algorithm>
-#include <cmath>
-
-XBT_LOG_NEW_DEFAULT_CATEGORY(surf_test, "Messages specific for surf example");
-
-using namespace simgrid::surf;
-
-#define PRINT_VAR(var) XBT_DEBUG(#var " = %g", (var)->get_value())
-#define SHOW_EXPR(expr) XBT_DEBUG(#expr " = %g",expr)
-
-/* ______ */
-/* ==l1== L2 ==L3== */
-/* ------ */
-
-enum method_t { MAXMIN, LAGRANGE_RENO, LAGRANGE_VEGAS };
-
-static double dichotomy(double func(double), double min, double max, double min_error)
-{
- double overall_error = 2 * min_error;
-
- double min_func = func(min);
- double max_func = func(max);
-
- if ((min_func > 0 && max_func > 0))
- return min - 1.0;
- if ((min_func < 0 && max_func < 0))
- return max + 1.0;
- if ((min_func > 0 && max_func < 0))
- abort();
-
- SHOW_EXPR(min_error);
-
- while (overall_error > min_error) {
- SHOW_EXPR(overall_error);
- xbt_assert(min_func <= 0 || max_func <= 0);
- xbt_assert(min_func >= 0 || max_func >= 0);
- xbt_assert(min_func <= 0 || max_func >= 0);
-
- SHOW_EXPR(min);
- SHOW_EXPR(min_func);
- SHOW_EXPR(max);
- SHOW_EXPR(max_func);
-
- double middle = (max + min) / 2.0;
- if (fabs(min - middle) < 1e-12 || fabs(max - middle) < 1e-12) {
- break;
- }
- double middle_func = func(middle);
- SHOW_EXPR(middle);
- SHOW_EXPR(middle_func);
-
- if (middle_func < 0) {
- min = middle;
- min_func = middle_func;
- overall_error = max_func - middle_func;
- } else if (middle_func > 0) {
- max = middle;
- max_func = middle_func;
- overall_error = middle_func - min_func;
- } else {
- overall_error = 0;
- }
- }
- return ((min + max) / 2.0);
-}
-
-double a_test_1 = 0;
-double b_test_1 = 0;
-static double diff_lagrange_test_1(double x)
-{
- return -(3 / (1 + 3 * x * x / 2) - 3 / (2 * (3 * (a_test_1 - x) * (a_test_1 - x) / 2 + 1)) +
- 3 / (2 * (3 * (b_test_1 - a_test_1 + x) * (b_test_1 - a_test_1 + x) / 2 + 1)));
-}
-
-static void test1(method_t method)
-{
- double a = 1.0;
- double b = 10.0;
-
- if (method == LAGRANGE_VEGAS)
- lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
- else if (method == LAGRANGE_RENO)
- lmm_set_default_protocol_function(func_reno_f, func_reno_fpi, func_reno_fpi);
-
- lmm_system_t Sys = new s_lmm_system_t(true);
- lmm_constraint_t L1 = Sys->constraint_new(nullptr, a);
- lmm_constraint_t L2 = Sys->constraint_new(nullptr, b);
- lmm_constraint_t L3 = Sys->constraint_new(nullptr, a);
-
- lmm_variable_t R_1_2_3 = Sys->variable_new(nullptr, 1.0, -1.0, 3);
- lmm_variable_t R_1 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
- lmm_variable_t R_2 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
- lmm_variable_t R_3 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
-
- Sys->update_variable_weight(R_1_2_3, 1.0);
- Sys->update_variable_weight(R_1, 1.0);
- Sys->update_variable_weight(R_2, 1.0);
- Sys->update_variable_weight(R_3, 1.0);
-
- Sys->expand(L1, R_1_2_3, 1.0);
- Sys->expand(L2, R_1_2_3, 1.0);
- Sys->expand(L3, R_1_2_3, 1.0);
-
- Sys->expand(L1, R_1, 1.0);
- Sys->expand(L2, R_2, 1.0);
- Sys->expand(L3, R_3, 1.0);
-
- if (method == MAXMIN) {
- lmm_solve(Sys);
- } else {
- double x;
- if (method == LAGRANGE_VEGAS) {
- x = 3 * a / 4 - 3 * b / 8 + sqrt(9 * b * b + 4 * a * a - 4 * a * b) / 8;
- /* Computed with mupad and D_f=1.0 */
- if (x > a) {
- x = a;
- }
- if (x < 0) {
- x = 0;
- }
- } else if (method == LAGRANGE_RENO) {
- a_test_1 = a;
- b_test_1 = b;
- x = dichotomy(diff_lagrange_test_1, 0, a, 1e-13);
-
- if (x < 0)
- x = 0;
- if (x > a)
- x = a;
- } else {
- xbt_die( "Invalid method");
- }
-
- lagrange_solve(Sys);
-
- double max_deviation = 0.0;
- max_deviation = std::max(max_deviation, fabs(R_1->get_value() - x));
- max_deviation = std::max(max_deviation, fabs(R_3->get_value() - x));
- max_deviation = std::max(max_deviation, fabs(R_2->get_value() - (b - a + x)));
- max_deviation = std::max(max_deviation, fabs(R_1_2_3->get_value() - (a - x)));
-
- if (max_deviation > 0.00001) { // Legacy value used in lagrange.c
- XBT_WARN("Max Deviation from optimal solution : %g", max_deviation);
- XBT_WARN("Found x = %1.20f", x);
- XBT_WARN("Deviation from optimal solution (R_1 = %g): %1.20f", x, R_1->get_value() - x);
- XBT_WARN("Deviation from optimal solution (R_2 = %g): %1.20f", b - a + x, R_2->get_value() - (b - a + x));
- XBT_WARN("Deviation from optimal solution (R_3 = %g): %1.20f", x, R_3->get_value() - x);
- XBT_WARN("Deviation from optimal solution (R_1_2_3 = %g): %1.20f", a - x, R_1_2_3->get_value() - (a - x));
- }
- }
-
- PRINT_VAR(R_1_2_3);
- PRINT_VAR(R_1);
- PRINT_VAR(R_2);
- PRINT_VAR(R_3);
-
- Sys->variable_free(R_1_2_3);
- Sys->variable_free(R_1);
- Sys->variable_free(R_2);
- Sys->variable_free(R_3);
- delete Sys;
-}
-
-static void test2(method_t method)
-{
- if (method == LAGRANGE_VEGAS)
- lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
- if (method == LAGRANGE_RENO)
- lmm_set_default_protocol_function(func_reno_f, func_reno_fp, func_reno_fpi);
-
- lmm_system_t Sys = new s_lmm_system_t(true);
- lmm_constraint_t CPU1 = Sys->constraint_new(nullptr, 200.0);
- lmm_constraint_t CPU2 = Sys->constraint_new(nullptr, 100.0);
-
- lmm_variable_t T1 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
- lmm_variable_t T2 = Sys->variable_new(nullptr, 1.0, -1.0, 1);
-
- Sys->update_variable_weight(T1, 1.0);
- Sys->update_variable_weight(T2, 1.0);
-
- Sys->expand(CPU1, T1, 1.0);
- Sys->expand(CPU2, T2, 1.0);
-
- if (method == MAXMIN) {
- lmm_solve(Sys);
- } else if (method == LAGRANGE_VEGAS || method == LAGRANGE_RENO) {
- lagrange_solve(Sys);
- } else {
- xbt_die("Invalid method");
- }
-
- PRINT_VAR(T1);
- PRINT_VAR(T2);
-
- Sys->variable_free(T1);
- Sys->variable_free(T2);
- delete Sys;
-}
-
-static void test3(method_t method)
-{
- int flows = 11;
- int links = 10;
-
- double** A = new double*[links + 5];
- /* array to add the constraints of fictitious variables */
- double B[15] = { 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 1, 1, 1, 1, 1 };
-
- for (int i = 0; i < links + 5; i++) {
- A[i] = new double[flows + 5];
- for (int j = 0; j < flows + 5; j++) {
- A[i][j] = 0.0;
-
- if (i >= links || j >= flows) {
- A[i][j] = 0.0;
- }
- }
- }
-
- /*matrix that store the constraints/topology */
- A[0][1] = A[0][7] = 1.0;
- A[1][1] = A[1][7] = A[1][8] = 1.0;
- A[2][1] = A[2][8] = 1.0;
- A[3][8] = 1.0;
- A[4][0] = A[4][3] = A[4][9] = 1.0;
- A[5][0] = A[5][3] = A[5][4] = A[5][9] = 1.0;
- A[6][0] = A[6][4] = A[6][9] = A[6][10] = 1.0;
- A[7][2] = A[7][4] = A[7][6] = A[7][9] = A[7][10] = 1.0;
- A[8][2] = A[8][10] = 1.0;
- A[9][5] = A[9][6] = A[9][9] = 1.0;
- A[10][11] = 1.0;
- A[11][12] = 1.0;
- A[12][13] = 1.0;
- A[13][14] = 1.0;
- A[14][15] = 1.0;
-
- if (method == LAGRANGE_VEGAS)
- lmm_set_default_protocol_function(func_vegas_f, func_vegas_fp, func_vegas_fpi);
- if (method == LAGRANGE_RENO)
- lmm_set_default_protocol_function(func_reno_f, func_reno_fp, func_reno_fpi);
-
- lmm_system_t Sys = new s_lmm_system_t(true);
-
- /* Creates the constraints */
- lmm_constraint_t* tmp_cnst = new lmm_constraint_t[15];
- for (int i = 0; i < 15; i++)
- tmp_cnst[i] = Sys->constraint_new(nullptr, B[i]);
-
- /* Creates the variables */
- lmm_variable_t* tmp_var = new lmm_variable_t[16];
- for (int j = 0; j < 16; j++) {
- tmp_var[j] = Sys->variable_new(nullptr, 1.0, -1.0, 15);
- Sys->update_variable_weight(tmp_var[j], 1.0);
- }
-
- /* Link constraints and variables */
- for (int i = 0; i < 15; i++)
- for (int j = 0; j < 16; j++)
- if (A[i][j])
- Sys->expand(tmp_cnst[i], tmp_var[j], 1.0);
-
- if (method == MAXMIN) {
- lmm_solve(Sys);
- } else if (method == LAGRANGE_VEGAS) {
- lagrange_solve(Sys);
- } else if (method == LAGRANGE_RENO) {
- lagrange_solve(Sys);
- } else {
- xbt_die("Invalid method");
- }
-
- for (int j = 0; j < 16; j++)
- PRINT_VAR(tmp_var[j]);
-
- for (int j = 0; j < 16; j++)
- Sys->variable_free(tmp_var[j]);
- delete[] tmp_var;
- delete[] tmp_cnst;
- delete Sys;
- for (int i = 0; i < links + 5; i++)
- delete[] A[i];
- delete[] A;
-}
-
-int main(int argc, char** argv)
-{
- MSG_init(&argc, argv);
- XBT_INFO("***** Test 1 (Max-Min)");
- test1(MAXMIN);
- XBT_INFO("***** Test 1 (Lagrange - Vegas)");
- test1(LAGRANGE_VEGAS);
- XBT_INFO("***** Test 1 (Lagrange - Reno)");
- test1(LAGRANGE_RENO);
-
- XBT_INFO("***** Test 2 (Max-Min)");
- test2(MAXMIN);
- XBT_INFO("***** Test 2 (Lagrange - Vegas)");
- test2(LAGRANGE_VEGAS);
- XBT_INFO("***** Test 2 (Lagrange - Reno)");
- test2(LAGRANGE_RENO);
-
- XBT_INFO("***** Test 3 (Max-Min)");
- test3(MAXMIN);
- XBT_INFO("***** Test 3 (Lagrange - Vegas)");
- test3(LAGRANGE_VEGAS);
- XBT_INFO("***** Test 3 (Lagrange - Reno)");
- test3(LAGRANGE_RENO);
-
- return 0;
-}
