Solver is a C++ library used for solving linear and nonlinear optimization problems. This library supports various algorithms for problem-solving such as interior point, simplex, and genetic algorithms.
Example 1: Linear Programming
To solve a linear programming problem, you need to create a model using a set of constraints and an objective function. For instance, consider the following linear programming model:
Maximize 2x + 3y Subject to x + y ≤ 10 2x + y ≤ 15 x, y ≥ 0
Here is the code example using the Solver library:
#include #include
double my_f (const gsl_vector *v, void *params) { double x, y; x = gsl_vector_get(v, 0); y = gsl_vector_get(v, 1);
return -1 * (2*x + 3*y); }
double my_constraint1 (const gsl_vector *v, void *params) { double x, y; x = gsl_vector_get(v, 0); y = gsl_vector_get(v, 1);
return 10 - x - y; }
double my_constraint2 (const gsl_vector *v, void *params) { double x, y; x = gsl_vector_get(v, 0); y = gsl_vector_get(v, 1);
return 15 - (2*x) - y; }
int main (void) { const gsl_multimin_fminimizer_type *T; gsl_multimin_fminimizer *s;
/* Initial starting point */ x = gsl_vector_alloc (2); gsl_vector_set (x, 0, 0.0); gsl_vector_set (x, 1, 0.0);
/* Set initial step sizes to 1.0 */ ss = gsl_vector_alloc (2); gsl_vector_set_all (ss, 1.0);
/* Initialize the function to be minimized */ minex_func.n = 2; minex_func.f = my_f; minex_func.params = NULL; minex_func.gradient = NULL;
/* Choose the minimization algorithm and initialize the minimizer */ T = gsl_multimin_fminimizer_nmsimplex2; s = gsl_multimin_fminimizer_alloc (T, 2); gsl_multimin_fminimizer_set (s, &minex_func, x, ss);
/* Iterate until convergence */ do { iter++; status = gsl_multimin_fminimizer_iterate(s);
if (status) break;
size = gsl_multimin_fminimizer_size (s); status = gsl_multimin_test_size (size, 1e-2);
To solve a nonlinear programming problem, you need to define objective function and constraints. For instance, consider the following nonlinear programming model:
// Print results if (success) { auto x = solver.getSolution(); printf("x1 = %.2f, x2 = %.2f, x3 = %.2f\n", x[0], x[1], x[2]); }
return 0; }
In conclusion, the Solver library is a third-party package library used for solving optimization problems in C++. The library provides various algorithms for linear and nonlinear programming, which could be used for research and development purposes.
C++ (Cpp) Solver - 30 examples found. These are the top rated real world C++ (Cpp) examples of Solver from package algorithms extracted from open source projects. You can rate examples to help us improve the quality of examples.