### unit tests for computations ### # create data for testing intermediate_transactions <- matrix(c(1, 2, 3, 4, 5, 6, 7, 8, 9), 3, 3) total_production <- matrix(c(100, 200, 300), 1, 3) exports <- matrix(c(10, 20, 30), 3, 1) imports <- matrix(c(5, 10, 15), 1, 3) occupation <- matrix(c(10, 12, 15), 1, 3) taxes <- matrix(c(2, 5, 10), 1, 3) wages <- matrix(c(11, 12, 13), 1, 3) # technical coefficients are calculated correctly test_that("technical coefficients are calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_tech_coeff() # solution a <- intermediate_transactions %*% diag(1 / as.vector(total_production)) dimnames(a) <- list(c(1, 2, 3), c(1, 2, 3)) # Check if the technical coefficients are calculated correctly expect_equal(obj$technical_coefficients_matrix, a) }) # leontief matrix is calculated correctly test_that("leontief matrix is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # solution b <- solve(diag(1, nrow = nrow(intermediate_transactions)) - obj$technical_coefficients_matrix) # Check if the leontief matrix is calculated correctly expect_equal(obj$leontief_inverse_matrix, b) }) # output multiplier is calculated correctly test_that("output multiplier is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the output multiplier obj$compute_multiplier_output() # solution b <- solve(diag(1, nrow = nrow(intermediate_transactions)) - obj$technical_coefficients_matrix) mult_out = colSums(b) # Check if the output multiplier is calculated correctly expect_equal(obj$multiplier_output[["multiplier_total"]], as.vector(mult_out)) }) # multiplier generator is calculated correctly test_that("multiplier generator is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production, occupation = occupation) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate employment requirements employment_reqs <- compute_requirements_added_value(obj$occupation, obj$total_production) # Calculate employment generator employment_generator <- compute_generator_added_value(employment_reqs, obj$leontief_inverse_matrix) dimnames(employment_generator) <- list(NULL, c(1, 2, 3)) # solution c_j <- occupation / total_production c_j_diag <- diag(as.vector(c_j)) e <- c_j_diag %*% obj$leontief_inverse_matrix # check if employment generator is calculated correctly expect_equal(e, employment_generator) }) # employment multiplier is calculated correctly test_that("employment multiplier is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production, occupation = occupation) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the employment multiplier obj$compute_multiplier_employment() # solution c_j <- occupation / total_production c_j_diag <- diag(as.vector(c_j)) e <- c_j_diag %*% obj$leontief_inverse_matrix mult_emp <- colSums(e) # Check if the employment multiplier is calculated correctly expect_equal(obj$multiplier_employment[["multiplier_total"]], as.vector(mult_emp)) }) # wages multiplier is calculated correctly test_that("wages multiplier is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production, wages = wages) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the wages multiplier obj$compute_multiplier_wages() # solution c_j = wages / total_production c_j_diag = diag(as.vector(c_j)) e = c_j_diag %*% obj$leontief_inverse_matrix mult_wages = colSums(e) # Check if the wages multiplier is calculated correctly expect_equal(obj$multiplier_wages[["multiplier_total"]], as.vector(mult_wages)) }) # taxes multiplier is calculated correctly test_that("taxes multiplier is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production, taxes = taxes) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the taxes multiplier obj$compute_multiplier_taxes() # solution c_j = taxes / total_production c_j_diag = diag(as.vector(c_j)) e = c_j_diag %*% obj$leontief_inverse_matrix mult_taxes = colSums(e) # Check if the taxes multiplier is calculated correctly expect_equal(obj$multiplier_taxes[["multiplier_total"]], as.vector(mult_taxes)) }) # field of influence is calculated correctly test_that("field of influence is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the field of influence obj$compute_field_influence(0.001) # solution n <- nrow(intermediate_transactions) im <- diag(1, nrow = n) a <- intermediate_transactions %*% diag(1 / as.vector(total_production)) b <- solve(im - a) ee <- 0.001 e <- matrix(0, ncol = n, nrow = n) si <- matrix(0, ncol = n, nrow = n) for (i in 1:n) { for (j in 1:n) { e[i, j] = ee ae = a + e be = solve(im - ae) fe = (be - b) / ee feq = fe * fe s = sum(feq) si[i, j] = s e[i, j] = 0 } } dimnames(si) <- list(c(1, 2, 3), c(1, 2, 3)) # Check if the field of influence is calculated correctly expect_equal(obj$field_influence, si, tolerance = 1e-5) }) # key sectors are calculated correctly test_that("key sectors are calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_tech_coeff() # Calculate the leontief matrix obj$compute_leontief_inverse() # Calculate the key sectors obj$compute_key_sectors() # solution key_sectors = c("Non-Key Sector", "Strong Backward Linkage", "Key Sector") # Check if the key sectors are calculated correctly expect_equal(obj$key_sectors$key_sectors, key_sectors) }) # allocation coefficients are calculated correctly test_that("allocation coefficients are calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_allocation_coeff() # solution f <- diag(1 / as.vector(total_production)) %*% intermediate_transactions dimnames(f) <- list(c(1, 2, 3), c(1, 2, 3)) # Check if the allocation coefficients are calculated correctly expect_equal(obj$allocation_coefficients_matrix, f) }) # ghosh inverse matrix is calculated correctly test_that("ghosh inverse matrix is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production) # Calculate the technical coefficients obj$compute_allocation_coeff() # Calculate the ghosh inverse matrix obj$compute_ghosh_inverse() # solution g <- solve(diag(1, nrow = nrow(intermediate_transactions)) - obj$allocation_coefficients_matrix) # Check if the ghosh inverse matrix is calculated correctly expect_equal(obj$ghosh_inverse_matrix, g) }) # hypothetical extraction works test_that("hypothetical extraction is calculated correctly", { # Instantiate the class obj <- iom$new("test", intermediate_transactions, total_production, exports = exports, imports = imports) # Calculate prerequisites obj$compute_tech_coeff() obj$compute_allocation_coeff() obj$update_added_value_matrix() obj$update_final_demand_matrix() # Calculate the hypothetical extraction obj$compute_hypothetical_extraction() # solution n <- nrow(intermediate_transactions) im <- diag(1, nrow = n) blextrac = matrix(NA, ncol = 1, nrow = n) flextrac = matrix(NA, ncol = 1, nrow = n) for (i in 1:n) { for (j in 1:n) { abl = obj$technical_coefficients_matrix abl[, j] = 0 bbl = solve(im - abl) xbl = bbl %*% obj$final_demand_matrix tbl = sum(xbl) - sum(obj$total_production) blextrac[j] = tbl blextracp = blextrac / sum(obj$total_production) ffl = obj$allocation_coefficients_matrix ffl[i, ] = 0 gfl = solve(im - ffl) xfl = obj$added_value_matrix %*% gfl tfl = sum(xfl) - sum(obj$total_production) flextrac[i] = tfl flextracp = flextrac / sum(obj$total_production) } } extrac = cbind(blextrac, blextracp, flextrac, flextracp) colnames(extrac) = c("backward_absolute", "backward_relative", "forward_absolute", "forward_relative") rownames(extrac) = c(1, 2, 3) # Check if the hypothetical extraction is calculated correctly expect_equal(obj$hypothetical_extraction[, 1:4], extrac) })