## ---- test-simStateSpace-sim-ssm-i-vary
lapply(
  X = 1,
  FUN = function(i,
                 text) {
    message(text)
    # prepare parameters
    # In this example, beta varies across individuals.
    set.seed(42)
    ## number of individuals
    n <- 5
    ## time points
    time <- 50
    ## dynamic structure
    p <- 3
    mu0 <- list(
      rep(x = 0, times = p)
    )
    sigma0 <- 0.001 * diag(p)
    sigma0_l <- list(
      t(chol(sigma0))
    )
    alpha <- list(
      rep(x = 0, times = p)
    )
    beta <- SimBetaN(
      n = 5,
      beta = 0.1 * diag(p),
      vcov_beta_vec_l = t(
        chol(
          0.1 * diag(p^2)
        )
      )
    )
    psi <- 0.001 * diag(p)
    psi_l <- list(
      t(chol(psi))
    )
    ## measurement model
    k <- 3
    nu <- list(
      rep(x = 0, times = k)
    )
    lambda <- list(
      diag(k)
    )
    theta <- 0.001 * diag(k)
    theta_l <- list(
      t(chol(theta))
    )
    ## covariates
    j <- 2
    x <- lapply(
      X = seq_len(n),
      FUN = function(i) {
        matrix(
          data = stats::rnorm(n = time * j),
          nrow = j,
          ncol = time
        )
      }
    )
    gamma <- list(
      diag(x = 0.10, nrow = p, ncol = j)
    )
    kappa <- list(
      diag(x = 0.10, nrow = k, ncol = j)
    )

    # Type 0
    ssm <- SimSSMIVary(
      n = n,
      time = time,
      mu0 = mu0,
      sigma0_l = sigma0_l,
      alpha = alpha,
      beta = beta,
      psi_l = psi_l,
      nu = nu,
      lambda = lambda,
      theta_l = theta_l,
      type = 0
    )

    as.data.frame.simstatespace(ssm, eta = TRUE)
    as.data.frame.simstatespace(ssm, eta = FALSE)
    as.data.frame.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.data.frame.simstatespace(ssm, eta = FALSE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE)
    as.matrix.simstatespace(ssm, eta = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = FALSE, long = FALSE)
    print.simstatespace(ssm)
    plot.simstatespace(ssm, id = 1:3, time = 0:4)
    plot.simstatespace(ssm, eta = TRUE)

    # Type 1
    ssm <- SimSSMIVary(
      n = n,
      time = time,
      mu0 = mu0,
      sigma0_l = sigma0_l,
      alpha = alpha,
      beta = beta,
      psi_l = psi_l,
      nu = nu,
      lambda = lambda,
      theta_l = theta_l,
      type = 1,
      x = x,
      gamma = gamma
    )

    as.data.frame.simstatespace(ssm, eta = TRUE)
    as.data.frame.simstatespace(ssm, eta = FALSE)
    as.data.frame.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.data.frame.simstatespace(ssm, eta = FALSE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE)
    as.matrix.simstatespace(ssm, eta = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = FALSE, long = FALSE)
    print.simstatespace(ssm)
    plot.simstatespace(ssm, id = 1:3, time = 0:4)
    plot.simstatespace(ssm, eta = TRUE)

    # Type 2
    ssm <- SimSSMIVary(
      n = n,
      time = time,
      mu0 = mu0,
      sigma0_l = sigma0_l,
      alpha = alpha,
      beta = beta,
      psi_l = psi_l,
      nu = nu,
      lambda = lambda,
      theta_l = theta_l,
      type = 2,
      x = x,
      gamma = gamma,
      kappa = kappa
    )

    as.data.frame.simstatespace(ssm, eta = TRUE)
    as.data.frame.simstatespace(ssm, eta = FALSE)
    as.data.frame.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.data.frame.simstatespace(ssm, eta = FALSE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE)
    as.matrix.simstatespace(ssm, eta = FALSE)
    as.matrix.simstatespace(ssm, eta = TRUE, long = FALSE)
    as.matrix.simstatespace(ssm, eta = FALSE, long = FALSE)
    print.simstatespace(ssm)
    plot.simstatespace(ssm, id = 1:3, time = 0:4)
    plot.simstatespace(ssm, eta = TRUE)
  },
  text = "test-simStateSpace-sim-ssm-i-vary"
)