test_that("gamma_tilde derivative is correct when all Z_tilde rows are multiplied by exp(gamma)", {
gammas <- 4.53
B <- matrix(c(rnorm(4),0),nrow = 1)
X <- matrix(1, nrow = 1, ncol = 1)
Z <- matrix(1, nrow = 1, ncol = 1)
P <- matrix((1:5)/15, nrow = 1, ncol = 5)
X_tilde <- matrix(1,nrow = 1, ncol = 1)
Z_tilde <- matrix(1, nrow = 1, ncol = 1)
P_tilde <- matrix((5:1)/15, nrow = 1, ncol = 5)
gamma_tilde <- 1
function_value <- mu_d_gamma_tilde(i = 1,
j = 5,
k_tilde = 1,
gammas = gammas,
B = B,
X = X,
Z = Z,
P = P,
X_tilde = X_tilde,
Z_tilde = Z_tilde,
Z_tilde_gamma_cols = 1,
P_tilde = P_tilde,
gamma_tilde = gamma_tilde)
direct_calculation <- (
Z_tilde%*%(P_tilde*exp(X_tilde%*%B + gamma_tilde + gammas)))[5]
expect_equal(as.numeric(function_value), direct_calculation)
})
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