Running ‘test_nloptr.R’ [7s/17s]
Running the tests in ‘tests/test_nloptr.R’ failed.
Complete output:
  > stopifnot(require(nloptr))
  Loading required package: nloptr
  > 
  > Sys.setenv(ROI_LOAD_PLUGINS = FALSE)
  > 
  > library(ROI)
  ROI: R Optimization Infrastructure
  Registered solver plugins: nlminb.
  Default solver: auto.
  > library(ROI.plugin.nloptr)
  > 
  > check <- function(domain, condition, level=1, message="", call=sys.call(-1L)) {
  +     if ( isTRUE(condition) ) return(invisible(NULL))
  +     msg <- sprintf("in %s", domain)
  +     if ( all(nchar(message) > 0) ) msg <- sprintf("%s\n\t%s", msg, message)
  +     stop(msg)
  +     return(invisible(NULL))
  + }
  > 
  > 
  > ##
  > ## Rosenbrock Banana function.
  > ##
  > test_nlp_01 <- function(solver) {
  +     objval <- 0
  +     sol <- c(1, 1)
  +     
  +     obj <- function(x) {
  +         return( 100 * (x[2] - x[1] * x[1])^2 + (1 - x[1])^2 )
  +     }
  + 
  +     grad <- function(x) {
  +         return( c( -400 * x[1] * (x[2] - x[1] * x[1]) - 2 * (1 - x[1]),
  +                    200 * (x[2] - x[1] * x[1])) )
  +     }
  + 
  +     x <- OP(F_objective(F = obj, n = 2L, G = grad))
  +     bounds(x) <- V_bound(lb = c(-3, -3), ub = c(3, 3))
  + 
  +     control <- list(start = c(-1.2, 1))
  +     opt <- ROI_solve(x, solver = solver, control = control)
  + 
  +     check("NLP-01@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-01@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > ##
  > ## Example from NLopt tutorial.
  > ##
  > test_nlp_02 <- function(solver) {
  +     objval <- -0.5443311
  +     sol <- c(1/3, 8/27)
  + 
  +     obj <- function(x) -sqrt(x[2])
  +     grad <- function(x) -c(0, 0.5 / sqrt(x[2]))
  + 
  +     con <- function(x) (c(2, -1) * x[1] + c(0,  1))^3 - x[2]
  +     jac <- function(x) {
  +         a <- c(2, -1)
  +         b <- c(0,  1)
  +         rbind(c(3 * a[1] * (a[1] * x[1] + b[1])^2, -1.0), 
  +               c(3 * a[2] * (a[2] * x[1] + b[2])^2, -1.0))
  +     }
  + 
  +     x <- OP(objective = F_objective(F = obj, n = 2L, G = grad),
  +         constraints = F_constraint(con, c("<=", "<="), c(0, 0), J = jac),
  +         maximum = TRUE)
  +     
  +     control <- list(start = c(1.234, 5.678))
  +     opt <- ROI_solve(x, solver, control = control)
  + 
  +     check("NLP-02@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-02@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > ##
  > ## Problem 23 from the Hock-Schittkowsky test suite.
  > ##
  > test_nlp_03 <- function(solver) {
  +     objval <- 2
  +     sol <- c(1, 1)
  + 
  +     obj <- function(x) x[1]^2 + x[2]^2
  +     grad <- function(x) c(2 * x[1], 2 * x[2])
  + 
  + 
  +     con <- function(x) {
  +         c(1 - x[1] - x[2], 1 - x[1]^2 - x[2]^2, 9 - 9*x[1]^2 - x[2]^2,
  +           x[2] - x[1]^2, x[1] - x[2]^2)
  +     }
  + 
  +     jac <- function(x) {
  +         rbind(c(-1, -1), c(-2 * x[1], -2 * x[2]), c(-18 * x[1], -2 * x[2]),
  +               c(-2 * x[1], 1), c(1, -2 * x[2]))
  +     }
  + 
  +     x <- OP(objective = F_objective(F = obj, n = 2L, G = grad),
  +         constraints = F_constraint(F = con, dir = leq(5), rhs = double(5), J = jac),
  +         bounds = V_bound(ld = -50, ud = 50, nobj = 2L))
  + 
  +     control <- list(start = c(3, 1), max_iter = 100000)
  +     opt <- ROI_solve(x, solver, control = control)
  + 
  +     check("NLP-03@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-03@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > ##
  > ## Problem 71 from the Hock-Schittkowsky test suite.
  > ##
  > test_nlp_04 <- function(solver) {
  +     objval <- 17.01402
  +     sol <- c(1, 4.74299963, 3.82114998, 1.37940829)
  + 
  +     obj <- function(x) x[1] * x[4] * (x[1] + x[2] + x[3]) + x[3]
  +     
  +     grad <- function(x) {
  +         c(x[1] * x[4] + x[4] * (x[1] + x[2] + x[3]), x[1] * x[4],
  +           x[1] * x[4] + 1.0, x[1] * (x[1] + x[2] + x[3]))
  +     }
  + 
  +     con <- c(function(x) c(25 - x[1] * x[2] * x[3] * x[4]),
  +              function(x) x[1]^2 + x[2]^2 + x[3]^2 + x[4]^2 - 40)
  + 
  +     jac <- c(function(x) c(-x[2] * x[3] * x[4], -x[1] * x[3] * x[4],
  +                            -x[1] * x[2] * x[4], -x[1] * x[2] * x[3]),
  +              function(x) c(2.0 * x[1], 2.0 * x[2], 2.0 * x[3], 2.0 * x[4]))
  + 
  +     x <- OP(objective = F_objective(F = obj, n = 4L, G = grad),
  +         constraints = F_constraint(F = con, dir = c("<=", "=="), rhs = c(0, 0), J = jac),
  +         bounds = V_bound(ld = 1, ud = 5, nobj = 4L))
  + 
  +     control <- list(start = c(1, 5, 5, 1))
  +     opt <- ROI_solve(x, solver, control = control)
  + 
  +     check("NLP-04@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-04@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > 
  > ##
  > ## Problem from 
  > ## @article{betts1977accelerated,
  > ##     title     = {An accelerated multiplier method for nonlinear programming},
  > ##     author    = {Betts, JT},
  > ##     journal   = {Journal of Optimization Theory and Applications},
  > ##     volume    = {21},
  > ##     number    = {2},
  > ##     pages     = {137--174},
  > ##     year      = {1977},
  > ##     publisher = {Springer}
  > ## }
  > ##
  > test_nlp_05 <- function(solver) {
  +     objval <- 0
  +     sol <- c(1, 1)
  + 
  +     obj <- function(x) 100 * (x[2] - x[1]^2)^2 + (1 - x[1])^2
  +     
  +     x <- OP(objective = F_objective(F = obj, n = 2L))
  +     bounds(x) <- V_bound(lb = c(-Inf, -1.5))
  + 
  +     control <- list(start = c(2, 3))
  +     opt <- ROI_solve(x, solver, control)
  + 
  +     check("NLP-05@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-05@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > 
  > ##
  > ## Problem from 
  > ## @article{betts1977accelerated,
  > ##     title     = {An accelerated multiplier method for nonlinear programming},
  > ##     author    = {Betts, JT},
  > ##     journal   = {Journal of Optimization Theory and Applications},
  > ##     volume    = {21},
  > ##     number    = {2},
  > ##     pages     = {137--174},
  > ##     year      = {1977},
  > ##     publisher = {Springer}
  > ## }
  > ##
  > test_nlp_06 <- function(solver) {
  +     objval <- 0.0504261879
  +     sol <- c(2*sqrt(598/1200) * cos(1/3*acos(1/(400*(sqrt(598/1200)^3)))), 1.5)
  + 
  +     obj <- function(x) 100 * (x[2] - x[1]^2)^2 + (1 - x[1])^2
  +     
  +     x <- OP(objective = F_objective(F = obj, n = 2L))
  +     bounds(x) <- V_bound(lb = c(-Inf, 1.5))
  + 
  +     control <- list(start = c(2, 2.6))
  +     opt <- ROI_solve(x, solver, control = control)
  + 
  +     check("NLP-06@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-06@06", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > 
  > ## SOURCE: Rglpk manual
  > ## https://cran.r-project.org/web/packages/Rglpk/Rglpk.pdf
  > ## 
  > ## LP - Example - 1
  > ## max:  2 x_1 + 4 x_2 + 3 x_3
  > ## s.t.
  > ## 3 x_1  +  4 x_2  +  2 x_3  <= 60
  > ## 2 x_1  +    x_2  +  2 x_3  <= 40
  > ##   x_1  +  3 x_2  +  2 x_3  <= 80 
  > ## x_1, x_2, x_3 >= 0
  > test_nlp_07 <- function(solver) {
  +     ## -----------------------------------------------------
  +     ## Test transformation from LP to NLP
  +     ## -----------------------------------------------------
  +     mat <- matrix(c(3, 4, 2, 2, 1, 2, 1, 3, 2), nrow=3, byrow=TRUE)
  +     lo <- L_objective(c(2, 4, 3))
  +     lc <- L_constraint(L = mat, dir = c("<=", "<=", "<="), rhs = c(60, 40, 80))
  +     lp <- OP(objective = lo, constraints = lc, maximum = TRUE)
  + 
  +     sol <- c(0, 6.66666666666667, 16.6666666666667)
  +     objval <- 76.6666666666667
  + 
  +     opt <- ROI_solve(lp, solver = "nloptr.auglag", start = c(1, 1, 1))
  + 
  +     check("NLP-07@01", equal(solution(opt), sol, tol = 1e-4))
  +     check("NLP-07@02", equal(solution(opt, "objval"), objval, tol = 1e-4))
  + }
  > 
  > 
  > if ( !any(grepl("nloptr", names(ROI_registered_solvers()))) ) {
  +     ## This should never happen.
  +     cat("ROI.plugin.nloptr cloud not be found among the registered solvers.\n")
  + } else {
  +     print("Start Testing!")
  +     cat("Test 01: ")
  +     local({test_nlp_01("nloptr.lbfgs")})
  +     cat("OK\n"); cat("Test 02: ")
  +     local({test_nlp_02("nloptr.cobyla")})
  +     cat("OK\n"); cat("Test 03: ")
  +     local({test_nlp_03("nloptr.auglag")})
  +     cat("OK\n"); cat("Test 04: ")
  +     local({test_nlp_04("nloptr.slsqp")})
  + }
  [1] "Start Testing!"
  Test 01: Error in check("NLP-01@01", equal(solution(opt), sol, tol = 1e-04)) : 
    in NLP-01@01
  Calls: local ... eval -> eval -> eval -> eval -> test_nlp_01 -> check
  Execution halted